PLEASE ANSWER THIS ASAP

PLEASE ANSWER THIS ASAP

Answers

Answer 1

Answer:

the answer is rotation

hope this helps

Answer 2
The answer is rotation. Your shape is rotating

Related Questions

the same ice cream shop is running a sale on cylindrical shaped tubs of ice cream. The cylinder has a radius of 4.5 cm and a height of 18 cm. Find the volume of a tub of ice cream​

Answers

Answer:

you got this

Step-by-step explanation:

I believe in you

Suppose you invest $188.00 in an account earning 2.80% APR. When will you have one million dollars in the account? Round your answer to two decimal places, i.e. 5.45

Answers

Answer: You will have one million dollars in the account after approximately 84.89 years.

APR is a yearly percentage rate that reflects the actual cost of borrowing on loans and investments. The APR is the rate of interest that must be charged on the balance of a savings account to attain a certain goal in the specified time period. The formula for compound interest is used in this case. The formula for compound interest is:A=P(1+r/n)^(nt)Where: A = amount P = principal (initial amount) r = annual interest rate (as a decimal) n = number of times interest is compounded per year t = number of years In this scenario: A = $1,000,000P = $188.00r = 0.028n = 1 (compounded once per year)t = unknown. Now let's solve for t:1,000,000 = 188(1 + 0.028/1)^(1t)ln (5,319.15) = t ln (1.028) ln (5,319.15) = 0.028t84.89 years = t Therefore, it will take approximately 84.89 years to reach one million dollars in the account.

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PLS HELP WITH THIS ONE if a radius of a cake is 13 and the ribbon of the cake is 36 cm will the ribbon be long enough to go around the edge of the cake?

Answers

Answer:

No, the ribbon would not be long enough to go around the edge of the cake.

Circumference ≈ 81.7 cm

Step-by-step explanation:

1) Calculate the circumference of the cake

Circumference - the length around a circle

[tex]C=2\pi r[/tex] where r is the radius

Plug 13 in as the radius

[tex]C=2\pi (13)\\C=26\pi\\C= 81.7[/tex]

Therefore, the circumference of the cake is approximately 81.7 cm.

Because the ribbon is only 36 cm long, it would not be enough to go around the edge of the cake.

I hope this helps!

Type the correct answer in each box. If necessary, use / for the fraction bar(s).
Find the solution for this system of equations.

12x + 15y = 34
-6x + 5y = 3

Answers

Answer:

x=5/6 and y=8/5

(5/6 , 8/5)

Step-by-step explanation:

You can use the elimination method! The point of this method is to add or subtract one equation from the other, multiplying them by constants if necessary, to cancel out one variable so you can solve for the other. Then, you can plug the value you got for your solution into either equation to solve for the other. I'll demonstrate.

Look at the two equations and the coefficients of both variables. You have 12x and -6x -- 6*2=12, so this is perfect. (You could also eliminate the y because 5*3=15, but I'll show you by eliminating the x instead.)

Here's what that looks like:

(-6x+1y=3)2

-12x+10y=6

So we just multiplied the second equation by 2 on both sides. Let's see how that helps us.

12x+15y=34

-12x+10y=6

If we add the two equations now, x will be canceled out and we can solve for y.

   12x+15y=34

+(-12x+10y=6)

___________

     0x+25y=40

           25y=40

0x=0, so we can get rid of the x. Now, we need to solve for y.

25y=40

y=40/25

You probably know how to simplify fractions, so divide both the numerator and the denominator by 5 to get y=8/5.

Now you can use this value in either equation and solve for x. I'll use the first. (This is called substitution.)

12x+15(8/5)=34

12x+3(8)=34 <-- What I did here is cancel out the 5 in the denominator with 15 to leave 3, because 5*3=15.

12x+24=34

12x=10

x=10/12

x=5/6 (Divide the numerator and denominator by 2.)

You can write your answer as a point, too. (5/6 , 8/5)

y=-3x + 4
y = 3x - 2
What solution does this system have? How do you
know? Justify (explain).

Answers

Answer:

(1,1)

Step-by-step explanation:

Since both the equations equal y, we can replace one of them with y.

y=-3x + 4

3x - 2 = -3x + 4

Add 3x to both sides.

6x - 2 = 4

Add 2 to both sides of the equation.

6x = 6

x = 1

Now that we know what x is, we can plug that value into one of the original equations.

y = 3x -2

= 3(1) - 2

= 3 - 2

= 1

Which figure can be formed from the net?

Answers

Answer:

#1 is the answere

Step-by-step explanation:

Check the sides

Part 1: Given cosine of theta is equal to radical 3 over 2 comma determine three possible angles θ on the domain [0,[infinity]). Part 2: Given θ = 495°, convert the value of θ to radians and find sec θ.

Answers

The required answer is  sec θ = -√2.

Explanation:-

Part 1: Given cosine of theta is equal to radical 3 over 2 on the domain [0,[infinity]).

To determine three possible angles θ,  the cosine inverse function which is a cos and since cosine function is positive in the first and second quadrant. Therefore  conclude that, cosine function of θ = radical 3 over 2 implies that θ could be 30 degrees or 330 degrees or 390 degrees. So, θ = {30, 330, 390}.Part 2:To convert 495° to radians, multiply by π/180°.495° * π/180° = 11π/4To find sec θ, we use the reciprocal of the cosine function which is sec.

Therefore, sec θ = 1/cos θ.To find cos 11π/4,  the reference angle, which is 3π/4. Cosine is negative in the third quadrant so the final result is sec θ = -√2.

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Janet's ice cream shop offers a child-size cone
with a single scoop of ice cream. Assume the
scoop of ice cream is a sphere with a volume
of 367 cubic centimeters. Find the diameter of the scoop?

Answers

Answer:

turtle biscuit believes in you

If the perimeter of a rectangle is 24 cm and one dimension is 10 cm, what is the area?

Answers

Answer:

40

Step-by-step explanation:

Answer:

24-10-10=4

4/2=2

10*2=20

20

Step-by-step explanation:

Zeke bought 10 donuts. There were d donuts in each box. Write an expression that shows how many boxes of donuts Zeke bought.

Answers

Answer:

10/d

Step-by-step explanation:

chfhnclfsiojjcllkn

Please answer with explanation

Answers

a: 550-n×55

Step-by-step explanation:

because she withdraws every week 55 then the equation is that

Answer:

a. A = 550 - (n55)b. $165.00

Explanation:

a. Amount of remaining dollars = $550 (the initial amount) - (numbers of weeks times $55 that she withdraws weekly)

so the equation is: A = 550 - (n55)

b. using the equation in (a) we can determine the amount of money in Shirley's account after 7 weeks.

A = 550 - (7×55)

A = 550 - 385

A = $165.00

Please Help 8th Grade math!!!!!!! only anwser 9

Answers

it's 40.00 beacuase justo subtract

9514 1404 393

Answer:

  Chris's gym charges more

Step-by-step explanation:

The difference between 2 rentals and 1 rental at Chris's gym is ...

  $55.50 -52.75 = $2.75 . . . . cost of court rental at Chris's gym

This $2.75 cost at Chris's gym is higher than the corresponding $2.00 cost at Tyrell's gym.

Chris's gym charges more to reserve the basketball courts.

Help please
Lines m and n are parallel.
What is m<1?
A. 35°
B. 50°
C. 55°
D. 75​

Answers

Answer: 55

Step-by-step explanation:

Since lines m and n are parallel, angle 55 would be the same for the measure of angle 1.

Find the area of the rectangle.

Answers

Answer:

Step-by-step explanation:

the area of the rectangle is : -7y² ( -2y^4+y²-1)

14y^6-7y^4+7y²   unit

help, i will give brainliest

Answers

Answer:

The answer is J

Step-by-step explanation:

If you start from Quinn's location (8,7), and move south 3 units, you get to (8,4). Then you move to the west 4 units and that gets you to (4,4).

hope this helped! :)

Please help me finish this i will give brainlest :) to the first person.

Answers

Answer: 8

Step-by-step explanation:

64 ÷[4* 27 (-5^2

-5 times -5 =25

27-25=2

4*2=8

64 divided by 8= 8

8 is your answer

Consider the system of equations 2x + 10y + 42 -1 4x + 18y + 10z 0 (a) If A is the coefficient matrix, find A-1. (b) Solve the system using A-1. (c) What does your solution indicate about the intersection of the three planes?

Answers

(a) The inverse matrix A⁻¹ is:

| -9/2   5/2 |

|  1     -1 |

(b) The solution to the system is x = -9/2 and y = 1. z is undetermined.

(c) The solution indicates that the three planes represented by the system of equations intersect at a single point and the intersection occurs along a line in the z-direction.

(a) The coefficient matrix, A, is given by:

A = | 2  10   42 |

     | 4  18   10 |

We can use matrix inversion. A matrix is invertible if its determinant is non-zero. Let's calculate the determinant of matrix A:

det(A) = (2 * 18) - (10 * 4) = 36 - 40 = -4

Since the determinant is non-zero (-4 ≠ 0), the matrix A is invertible. Now, we can find the inverse of A:

A⁻¹ = (1/det(A)) * adj(A)

Where adj(A) denotes the adjugate of matrix A. To calculate the adjugate, we need to find the cofactor matrix of A and then take its transpose:

Cofactor matrix of A:

| 18   -4 |

| -10   2 |

Transpose of the cofactor matrix:

| 18  -10 |

| -4    2 |

Now, divide the transpose by the determinant:

A⁻¹ = (1/-4) * | 18  -10 |

                 | -4    2 |

Simplifying:

A⁻¹ = | -9/2   5/2 |

        |  1     -1 |

Therefore, the inverse matrix A⁻¹ is:

| -9/2   5/2 |

|  1     -1 |

(b) We have the equation AX = B, where X is the column vector of variables (x, y, z), A is the coefficient matrix, and B is the column vector of constants.

The coefficient matrix A is:

A = | 2  10   42 |

     | 4  18   10 |

The column vector B is:

B = | 1 |

      | 0 |

Now, we can solve for X using A-1:

X = A⁻¹ * B

Substituting the values:

X = | -9/2   5/2 | * | 1 |

          | 1    -1 |      | 0 |

Multiplying the matrices:

X = | (-9/2 * 1) + (5/2 * 0) |

        | (1 * 1) + (-1 * 0) |

Simplifying:

X = | -9/2 |

        |   1   |

Therefore, the solution to the system is x = -9/2 and y = 1. The value of z is not determined from this calculation.

(c) x = -9/2 and y = 1 indicates that the three planes represented by the system of equations intersect at a single point. The value of z is not determined, which means that the intersection occurs along a line in the z-direction.

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Consider following sample: 41, 37, 48, 32, 43, 21, 29, 22, 40, 28, 22, 29, 38, 23, 24
The data points are independentely sampled from a unifrom distribution with the density function f(x) = 1/a, where 0 <= x <= a. Use the method of moments to estimate a. Use two digits after the decimal points.

Answers

The estimated value of "a" using the method of moments is 48.00.

The method of moments is a technique used to estimate the parameters of a probability distribution by equating the sample moments to their theoretical counterparts. In this case, we'll equate the sample mean to the theoretical mean of the uniform distribution.

The theoretical mean of a uniform distribution with density function f(x) = 1/a is given by (a + 0) / 2 = a / 2.

To estimate "a," we'll equate the sample mean to a / 2 and solve for "a":

Sample mean = (41 + 37 + 48 + 32 + 43 + 21 + 29 + 22 + 40 + 28 + 22 + 29 + 38 + 23 + 24) / 15

           = 34.13 (rounded to two decimal places)

Setting this equal to a / 2, we have:

34.13 = a / 2

Solving for "a," we multiply both sides by 2:

a = 2 * 34.13

 ≈ 68.26

Rounding "a" to two decimal places:

a ≈ 68.26 ≈ 68.00

Using the method of moments, the estimated value of "a" is approximately 68.00. This suggests that the data points were sampled from a uniform distribution with a maximum value of around 68.

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How can she might choose a random sample of five students from her class of 35 students?


Answers

Answer:

who?

Step-by-step explanation:

The area of a circle is 4π in². What is the circumference, in inches? Express your answer in terms of π.

Answers

Answer:

C = 4π in

Step-by-step explanation:

We require to find the radius r of the circle

Given the area is 4π , then

πr² = 4π ( divide both sides by π )

r² = 4 ( take the square root of both sides )

r = [tex]\sqrt{4}[/tex] = 2

Then

C = 2πr = 2π × 2 = 4π inches

Answer:

4π in

Step-by-step explanation:

The formula for area is πr². We will work backwards from 4π. First, I will do √4 so I can find r.

√4 = 2

Now, I know that r = 2. Next, I will substitute r into the circumference formula which is 2πr.

2π(2) - I know r is 2 from my previous set.

Now, I will simplify.

2 · 2 π = 4π

Since the question is asking in terms of π, I will not simplify all the way, and leave pi as is.

A textbook store sold a combined total of 471 math and sociology textbooks in a week. The number of sociology textbooks sold was 63 less than the number of math textbooks sold. How many textbooks of each type were sold?

Answers

Answer:

The math books are 267The sociology books are 204

Step-by-step explanation:

The steps are in the photo above

I hope that is useful for you :)

Based on meteorological records the probability that it will snow in a certain town on January 1st is 0.185. Find the probability that in a given year it will not snow on January 1st in that town rack Dic 0.815 0.227 ack Die 5.405 1.185 ack Die

Answers

The probability that it will not snow on January 1st in that town in a given year is 0.815.

Based on the meteorological records, A probability forecast includes a numerical expression of uncertainty about the quantity or event being forecast. Ideally, all elements (temperature, wind, precipitation, etc.)

The probability that it will not snow in a certain town on January 1st in a given year is 0.815. Here's how to arrive at the answer:Given that the probability of snowing on January 1st in that town is 0.185. Then, the probability of not snowing on January 1st is 1 - 0.185 = 0.815.

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The given information probability of it not snowing on January 1st of a given year in that town is 0.815.

Therefore, the probability of it not snowing on January 1st of a given year in that town is 0.815.

Here's how to solve the problem: Given: The probability of it snowing on January 1st of a given year in that town is 0.185. The complement of the probability of it snowing on January 1st is the probability of it not snowing on January 1st of a given year in that town, which is:

P(not snowing on January 1st) = 1 - P(snowing on January 1st)

P(not snowing on January 1st) = 1 - 0.185

P(not snowing on January 1st) = 0.815

Therefore, the probability of it not snowing on January 1st of a given year in that town is 0.815.

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what steps do i take to prove this? i have a few more

Answers

Answer:

They are opposite angles. If you rotate the figure SQM 180 degrees counter clockwise, they will be the exact same triangle and therefore the exact same measure.

Step-by-step explanation:

The sweater was normally $50. It was on sale for $12 off. What was the percent of discount?​

Answers

Divide sale by normal price
12/50 = 0.24 * 100 = 24 percent

24 percent of discount

Answer:

The discount was 24%.

Step-by-step explanation:

24% of 50 is 12.

Anyone help pls? No links! :)

Answers

Answer:

6. D

7. F

8.A

9. B

10 C

13.Question- Write an expression using division and subtraction with a difference of 3.

answer-  (12 divide 3) -1

  Twelve divided by three is four. Four minus 1 is three.

12. Question- Write an expression using multiplication and addition with a sum of 16.

answer- There are many answers for this and this is one of them:

Y=4(3+1)

Y=16

or

Y=2(6+2)

Y=16

11.  Question- Sam bought two CDs for $13 each. Sales tax for both CDs was $3. Write an expression to show how much Sam paid in all.

answer- Expression- (13*2)(3*2)=$32

This is the answer because Sam bought two CD's for 13, 13*2, and the sales tax was $ 3, so 3*2=6

Nationwide, 40% of college seniors say that if they could start their college education over, they would have selected a different major. A student researcher in the education department selected a random sample of 50 seniors at Harvard and asked them if they the same question.

a. Let X = number in 50 randomly selected seniors that would select a different major at Harvard.
Assuming the percent of seniors at Harvard that would select a different major is consistent with the national percent, would X have an approximately normal distribution? If so, what would the mean and standard deviation be?

b. If 12 of the 50 students sampled at Harvard said they would have selected a different major, would you think the percent that would have selected a different major is different at Harvard than the national average? Be sure to clearly explain your answer.

Answers

Given: Nationwide, 40% of college seniors say that if they could start their college education over, they would have selected a different major. A student researcher in the education department selected a random sample of 50 seniors at Harvard and asked them if they the same question.

a. Mean is 0.40 (40%) and Standard deviation = 0.0775.

b. we cannot conclude that the percent that would have selected a different major is different at Harvard than the national average.

a. Assuming the percent of seniors at Harvard that would select a different major is consistent with the national percentage, X (the number in 50 randomly selected seniors that would select a different major at Harvard) would have an approximately normal distribution.

The mean would be the same as the population mean, which is 0.40 (40%).

The standard deviation would be calculated using the formula given below:

Standard deviation = sqrt[(p(1-p))/n], Where, p = population proportion (0.40), n = sample size (50).

Standard deviation = sqrt[(0.40 x 0.60)/50]

Standard deviation ≈ 0.0775

b. To determine if the percent that would have selected a different major is different at Harvard than the national average, we need to perform a hypothesis test.

Hypotheses:H_0: p = 0.40 (The proportion of seniors at Harvard who would have selected a different major is the same as the national percentage.)

H_a: p ≠ 0.40 (The proportion of seniors at Harvard who would have selected a different major is different from the national percentage.)

Since the sample size (50) is greater than 30 and the population standard deviation is unknown, we can use the z-test to test the hypothesis.

The formula for the test statistic is given below:

z = (p - P)/sqrt[(P(1 - P))/n], Where, p = sample proportion, P = population proportion, n = sample size.

z = (12/50 - 0.40)/sqrt[(0.40 x 0.60)/50]

z ≈ -1.84

Using a significance level of α = 0.05 and a two-tailed test, the critical values of z are ±1.96.

Since the calculated z-value (-1.84) is less than the critical value (-1.96), we fail to reject the null hypothesis.

We do not have sufficient evidence to conclude that the proportion of seniors at Harvard who would have selected a different major is different from the national percentage.

Therefore, we cannot conclude that the percent that would have selected a different major is different at Harvard than the national average.

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Select the correct answer. Two art museums are hosting new long-term exhibits. The number of daily visitors attending each exhibit is modeled by functions v and s, where n is the number of days since the exhibits opened. Visual Arts Exhibit Sculpture Exhibit 10 50 100 120 200 210 154 147 145 143 Which statement accurately describes this situation? A. As the number of days increases, the number of daily visitors at both exhibits decreases to zero. B. As the number of days increases, the number of daily visitors at the visual arts exhibit levels off to a higher amount than the number of daily visitors at the sculpture exhibit. C. As the number of days increases, the number of daily visitors at the visual arts exhibit levels off to a lower amount than the number of daily visitors at the sculpture exhibit. D. As the number of days increases, the number of daily visitors at the visual arts exhibit levels off to the same amount as the number of daily visitors at the sculpture exhibit.

Answers

Answer:

the answer is C

Step-by-step explanation:

As the number of days increases, the number of daily visitors at the visual arts exhibit levels off to a lower amount than the number of daily visitors at the sculpture exhibit.

As the number of days increases, the number of daily visitors at the visual arts exhibit levels off to a lower amount than the number of daily visitors at the sculpture exhibit.

The correct option is C.

A function is a law that relates a dependent and an independent variable.

The function representing the Visual Arts Exhibit is

V(n) = (800/x) +120

V(10) = 80+120 = 200

V( 50) = 16+120 = 136

V(100) = 8 +120 = 128

V(120) = 6.67 + 120 = 128.67

V(200) = 4 +120 = 124

The number of visitors in the Visual Arts Exhibit is decreasing with increasing number of days.

Therefore correct option is C .

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The point with coordinates $(6,-10)$ is the midpoint of the segment with one endpoint at $(8,0)$. Find the sum of the coordinates of the other endpoint.

Answers

Answer:

[tex](4,-20)[/tex]

Step-by-step explanation:

Let [tex]P(x,y),\,Q(u,v)[/tex] be two points then midpoint of [tex]PQ[/tex] is given by [tex](\frac{x+u}{2},\frac{y+v}{2})[/tex]

Put midpoint as [tex](6,-10)[/tex] and [tex](u,v)=(8,0)[/tex]

Therefore,

[tex](\frac{x+u}{2},\frac{y+v}{2})=(6,-10)\\\\(\frac{x+8}{2},\frac{y+0}{2})=(6,-10)\\\\\frac{x+8}{2}=6,\,\frac{y}{2}=-10\\\\x+8=12,\,y=-20\\x=12-8,\,y=-20\\x=4,\,y=-20[/tex]

So, the other point is [tex](4,-20)[/tex]




9. (10 points) Find the inverse Laplace transform of 232 +7s+14 (32+2x+10) (5+1)
8. (10 points) Find the Laplace transform of f(t) = t- cos(3t) +e7+(t - 1)2.

Answers

The Laplace transform of f(t) = t - cos(3t) + [tex]e^{7t}[/tex]+ (t - 1)² is:

L{f(t)} = (1 - 2/s + 1/s²) - (s/(s² + 9)) + 1/(s - 7) + 2/s³

To find the inverse Laplace transform of the expression 232 + 7s + 14 (32 + 2x + 10) (5 + 1), we need to break it down into simpler terms and apply the inverse Laplace transform individually.

Given expression: 232 + 7s + 14 (32 + 2x + 10) (5 + 1)

Let's simplify the expression first:

232 + 7s + 14 (32 + 2x + 10) (5 + 1) = 232 + 7s + 14 ×42× 6

Simplifying further:

232 + 7s + 3528

Now we have a simple expression. To find the inverse Laplace transform, we can use the linearity property of the Laplace transform.

Inverse Laplace transform of 232 is 232 × δ(t), where δ(t) is the Dirac delta function.

Inverse Laplace transform of 7s is 7 δ'(t), where δ'(t) is the derivative of the Dirac delta function.

The inverse Laplace transform of a constant times the Dirac delta function is given by multiplying the constant with the shifted unit step function.

Inverse Laplace transform of 14 ×3528 is 14× 3528 × u(t), where u(t) is the unit step function.

Therefore, the inverse Laplace transform of the given expression is:

Inverse Laplace transform of (232 + 7s + 14 (32 + 2x + 10) (5 + 1)) = 232 ×δ(t) + 7 δ'(t) + 14×3528× u(t)

To find the Laplace transform of f(t) = t - cos(3t) + [tex]e^{7t}[/tex] + (t - 1)², we will apply the properties of Laplace transforms to each term individually.

Laplace transform of t:

The Laplace transform of t, denoted as L{t}, is given by 1/s^2.

Laplace transform of cos(3t):

The Laplace transform of cos(3t), denoted as L{cos(3t)}, is given by s/(s²+ 9).

Laplace transform of [tex]e^{7t}[/tex]:

The Laplace transform of [tex]e^{7t}[/tex], denoted as L{[tex]e^{7t}[/tex]}, is given by 1/(s - 7).

Laplace transform of (t - 1)²:

We can expand (t - 1)²to t² - 2t + 1 and then apply the linearity property of Laplace transforms.

Laplace transform of t²:

The Laplace transform of t², denoted as L{t²}, is given by 2/s³.

Laplace transform of 2t:

The Laplace transform of 2t, denoted as L{2t}, is given by 2/s².

Laplace transform of 1:

The Laplace transform of 1, denoted as L{1}, is given by 1/s.

Using the linearity property of Laplace transforms, we can add the transforms of each term.

Laplace transform of f(t):

L{t} - L{cos(3t)} + L{[tex]e^{7t}[/tex]} + L{(t - 1)²}

= 1/s² - s/(s² + 9) + 1/(s - 7) + 2/s³ - 2/s² + 1/s

= (1 - 2/s + 1/s²) - (s/(s² + 9)) + 1/(s - 7) + 2/s³

Therefore, the Laplace transform of f(t) = t - cos(3t) + [tex]e^{7t}[/tex]+ (t - 1)² is:

L{f(t)} = (1 - 2/s + 1/s²) - (s/(s² + 9)) + 1/(s - 7) + 2/s³

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GET BRAINLESTTTTTT !!

A bag of marbles had 24 white marbles and the rest were blue. For a game, 5/6 of the white marbles were chosen, and 25 of the blue marbles were also chosen.
Use this information to answer the questions below.

If not enough information is given to answer a question, click on "Not enough information."

(a) How many of the bag's white marbles were not chosen?

(b) How many of the bag's white marbles were chosen?

(c) How many blue marbles were in the bag before the game?

Answers

Answer:

Step-by-step explanation:

We know that there are 24 white marbles in the starting.

a. How many were not chosen. => 1/6 of the white marbles.

1/6 * 24 = 4 marbles were not chosen.

b. 24 - 4 = 20 marbles were chosen

c. Not enough Info

Answer:

4,20,not enough info

Step-by-step explanation:

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Which of the following is a benefit of free trade? A. It reduces employment in many fields. B. It makes more diverse products available. C. It causes industries to decline. D. It makes countries depending on foreign powers. 12 points! As the manager of a firm you calculate the marginal revenue is $252 and marginal cost is $200. You should A. expand output until marginal revenue equals zeroB. reduce output until marginal revenue equals marginal cost C. reduce output beyond the level where marginal revenue equals zeroD. expand output How many integers between 0 and 500:1. Have distinct digits?2. Are divisible by 3?3. Are divisible by 3 or 5?4. Are divisible by either 3 or 5, but not both?5. Are divisible by 3, but not 5?Pls help asap!! A thermometer reading 96F is placed inside a cold storage room with a constant temperature of 37F. If the thermometer reads 88F in 5 minutes, how long before it reaches 58F? Assume the cooling follows Newton's Law of Cooling: U = T+ (U. - T)ekt (Round your answer to the nearest whole minute.) 45 minutes 0 1 minutes 0 16 minutes 14 minutes In this question, draw one separate graph foreach section, A, B and C.Draw one graph with three indifference curves for the utilityfunction u(x,y) = 3x + yDraw one graph with three indifference Mrs. Jones baked 70 cookies. Her son ate 1/2 of the cookies, then her husband ate 1/7 of the remaining cookies. How many cookies were left? A ladder that is 22 feet long is propped up against a 15-foot-tall building. Use the drop downs to answer the following questions.What is the unknown information that could be found using the Pythagorean theorem?What measures represent each variable of the Pythagorean theorem, if b is the unknown length?a = c = What is the approximate length of b, rounding to the nearest hundredth? HELP PLEASEHELP PLEASE HELP PLEASE A reaction vessel for synthesizing ammonia by reacting nitrogen and hydrogen is charged with 5.54 kg of H2 and excess N2. A total of 25.6 kg of NH3 are produced. What is the percent yield of the reaction? Of the following elements aluminum, magnesium, aluminum, silicon, and sodium which has the smallest atomic radius? Explain your answer. How did the Louisiana Purchase by President Jefferson go against his principles? Establishing a minimum wage aligns LESS with which of the following?Capitalism or Socialism the magnetic flux through a coil of 10 turns, changes from 5.00 x 10^-4 wb to 5.0x10^-3 wb in 1.0x10^-2 s. find the induced emf in the coil HELP PLEASE ASAP!!!!! 20 POINTS!!!! 7 years ago, a man was 7 times as old as his son was. three years hence, he will be three times as old as his son.find the present ages need the answer to this A Household welfareA typical household in Autarka has an income of $160,000 per year, which they spend on food (good x ) and clothing (good y ). Their preferences over consumption baskets are represented by the utility function, U = x 1/4y y 1/4.The associate marginal utilities are, MUx = y 1/4 / 4x 3/4 and MUy = x 1/4 /4y 3/4 . The price of food is Px = $8 per meal, and the price of clothing is Py = 128 per item. Each household has a 10% probability of experiencing a major injury or illness in any given year. If a household experiences a major injury or illness, its income is reduced to $6,400 per year. In the analysis section you must complete each of the steps detailed below. When com- pleting the steps you must: Type all equations using the 'Insert Equation' function (or equivalent). Show all of your working and include sufficient written description for the reader to follow your process. Note that hand draw figures and equations are not acceptable. There is no word/page limit for the analysis section.Step 1: Derive an expression for the typical household's marginal rate of substitution. (4 marks)Step 2: Find the typical household's optimal consumption basket when its income is $160,000. What is the household's associated level of utility? (10 marks)Step 3: Find the typical household's optimal consumption basket when its income is $6,400. What is the household's associated level of utility? (10 marks)Step 4: What is the typical household's expected utility if it does not purchase insurance? (4 marks)Step 5: What is the expected payout to the typical household if it does purchase insurance? (4 marks)Step 6: What is a household's maximum willingness to pay for insurance? (Hint: Use the utility function U = I/64 for this step only.) (8 marks) Do you think it's easy to be honest? Why or why not? If your having trouble with math go to Wolframalpha.com please help me........................................