Which of the following is an arithmetic sequence with common difference –5?

Answer:

Hi,

Step-by-step explanation:

I suppose you want an integer solution.

Let's say

a the number of gallons of 35% alcohol

b the number of gallons of 50% alcohol

[tex]\dfrac{35}{100}*a+\dfrac{50}{100}*b=\dfrac{40}{100}*6\\\\35*a+50*b=240\\\\7a+10b=48\\\\b=\dfrac{48-7a}{10}\\\\a=4+10*n\\\\b=\dfrac{48-7*(4+10*n)}{10}=2-7*n\\\\As\ b\ must\ be\ a\ positive\ number \ n=0\\\\so\ b=2\ and\ a= 4[/tex]

Answer:

Step-by-step explanation:

1) Reflection over [tex]\overline{BC}[/tex]

2) The triangles are congruent by SAS, so when [tex]\triangle GBC[/tex] is mapped onto [tex]\triangle ABC[/tex], because points [tex]G[/tex] and [tex]A[/tex] are corresponding, [tex]G'[/tex] will correspond with [tex]A[/tex].

3) Yes, because [tex]\overline{BG} \cong \overline{AB}, \overline{GC} \cong \overline{AC}, \angle BAC \cong \angle BGC[/tex], so the triangles are congruent by SAS.

Answer:

21.25 m/s

Explanation:

AVERAGE SPEED=

= \frac{s1 t1+ s2t2 + s3t3}{t1 + t2 + t3}=

t1+t2+t3

s1t1+s2t2+s3t3

= \frac{20 \times 10 + 30 \times 5 + 15 \times 5}{10 + 5 + 5}=

10+5+5

20×10+30×5+15×5

= \frac{200 + 150 + 75}{20}=

20

200+150+75

= \frac{425}{20}=

20

425

= 21.25 ms=21.25ms

Answer:

Hi,

Answer B

Step-by-step explanation:

after 1.484 s the ball hit the ground à 22.019 feet

yes the ball will be at a height of 2.93506334 feet when time is 1.348 s and height is 20 feet

no the max height happens at 11.0 has no thing to do with hitting the grat 2.937 s the ball is at -68.2754 feet

ound

Resolviendo un sistema de ecuaciones veremos que se vendieron 900 boletos de $15 y 3600 boletos de $10.

Primero definamos las variables:

Sabemos que se vendieron 4500 boletos, entonces:

x + y = 4500

Y se recaudo un total de $49,500, entonces:

x*$10 + y*$15 = $49,500

Entonces tenemos un sistema de ecuaciones:

Para resolver esto, primero debemos aislar una de las variables en la primer ecuación, voy a aislar x:

x = 4500 - y

Ahora reemplazamos esto en la otra ecuación:

(4,500 - y)*$10 + y*$15 = $49,500

Ahora debemos resolver estoy para y.

$45,000 - y*$10 + y*$15 = $49,500

y*$5 = $49,500 - $45,000 = $4,500

y = ( $4,500)/$5 = 900

Entonces:

x = 4500 - 900 = 3600

Se vendieron 900 boletos de $15 y 3600 boletos de $10.

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Answer:

w = 5

Step-by-step explanation:

24w = (14)10

2w + 4 = 10 + 4

2w = 10

w = 5

Answer:

38%

Step-by-step explanation:

Total: 93

Find percentage

Rain: 24

Snow: 11

24 + 11 = 35

Find what percentage of 90 35 is.

35 of 90 can be written as:

35

----

90

To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100

35           100

----   ×         ----

90            100

= ( 35 * 100/90) * 1/100 = 38.89/100

Therefore, the answer is 38.89%

Answer:

The power output is 6 W. The resistance is 6 Ω.

Step-by-step explanation:

Power output= 6V * 1 A= 6W

Resistance= 6V/1A= 6 Ω

The solution to the given system of inequality is (-12, 6).

These are equations that contains unknown variables.

Given the equations

x + 4y > 12

3y > x + 6

__________

x + 4y > 12

3y - x > 6

Subtract

4y - 3y > 12 - 6

y > 6

Substitute y = 6 into the equation

x + 4y >12

x + 4(6) > 12

x > -12

Hence the solution to the given system of inequality is (-12, 6)

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Answer:

20 or 40 or 50

(there are many others)

Step-by-step explanation:

A counterexample is an example that shows the statement is not true. The statement in this question is that if a number is a multiple of 10 (10, 20, 30, 40, 50, 60...) then it is a multiple of 30. Some numbers are, like 60 and 90, but not all numbers. So for example (counterexample) 20 is a multiple of 10 but NOT a multiple of 30.

40 is a multiple of 10, but NOT a multople of 30.

50 is a multiple of 10, but NOT a multiple of 30.

this is your answer.

Answer: 68.0389

Answer:

68.04 is the correct answer

I looked it up

Answer:

Calculator soup can help just search for whatever your learning and add a calculator at the end

Step-by-step explanation:

13 pounds of sugar for $6.

for a single pound of sugar we need to divide everything by 13 to keep the same ratio (relationship).

1 pound cost then 6/13 = 0.461538462... ≈ $0.46

Seniors in the class = total number of students - total number of juniors

30 - 24 = 6

Juniors that went on the field trip = 2/3 x 24 = 16 students

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Answer:

8x

Step-by-step explanation:

(3x+1)+(3x-1), the 1's cross out, so it is 3x+3x=6x. 6x+2x=8x.

Answer:

8x

Step-by-step explanation:

got it right!!!

Answer: 0.05

Step-by-step explanation:

Since 95 out of 100 were closed, the closed window is 95% = 0.95.

5 open windows = 5% = 0.05

Answer:

In terms of Pi: [tex]3\pi + 6[/tex] km

Exact value (rounded): 15.42477 km

Approximated (3.14): 15.42 km

Step-by-step explanation:

Hello!

A semicircle's perimeter can be found using the formula: [tex]P = \pi r + 2r[/tex]

We can plug in the values to solve for the perimeter.

In terms of Pi, it is [tex]3\pi + 6[/tex],

Exact value of Pi, it is 15.42477

Approximation of Pi (3.14), it is = 15.42

Answer:

x = 3.6

Step-by-step explanation:

The true statement about the functions is (d) the range of g(x) includes more values than the ranges of f(x) and h(x).

The attached image represents the missing part of the question

From the attached image, we have the following properties:

The property 2 above is calculated as follows:

Range of g(x) =|-4 + 19| = 15

Range of f(x) =|1 + 2| = 3

Range of h(x) =|2 + 8| = 10

Hence, the true statement about the functions is (d) the range of g(x) includes more values than the ranges of f(x) and h(x).

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The coordinates of the 4th vertex of the rhombus are (-2,3)

The diagonals are given as:

(-7, -2) and (-1, -4)

The 3rd vertex is given as: (-6,-9)

Calculate the distance between the vertices of the diagonals and the 3rd vertex using:

[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 - y_1)^2}[/tex]

So, we have:

[tex]d_1 = \sqrt{(-7 + 6)^2 + (-2 + 9)^2} =\sqrt{50[/tex]

[tex]d_2 = \sqrt{(-1 + 6)^2 + (-4 + 9)^2} =\sqrt{50[/tex]

Let the 4th vertex be (x,y)

So, we have:

[tex]d_3 = \sqrt{(-7 - x)^2 + (-2 - y)^2} =\sqrt{50[/tex]

[tex]d_4 = \sqrt{(-1 - x)^2 + (-4 - y)^2} =\sqrt{50[/tex]

Equate d3 and d4

[tex]\sqrt{(-1 - x)^2 + (-4 - y)^2} = \sqrt{(-7 - x)^2 + (-2 - y)^2}[/tex]

Take the square of both sides

[tex](-1 - x)^2 + (-4 - y)^2 = (-7 - x)^2 + (-2 - y)^2[/tex]

Expand

[tex]1 + 2x + x^2 + 16 + 8y + y^2 = 49 + 14x + x^2 + 4 + 4y + y^2[/tex]

Evaluate the like terms

1 + 2x  + 16 + 8y  = 49 + 14x + 4 + 4y

Collect like terms

14x - 2x + 4y - 8y = 1 + 16 - 49 - 4

12x - 4y = -36

Divide through by 4

3x - y = -9

Next, we test the options in the above equation

Point (-8,13) means x = -8 and y = 13

So, we have:

3x - y = -9

3(-8) - 13 = -9

-37 = -9 --- this is false

Point (-2, 3) means x = -2 and y = 3

So, we have:

3x - y = -9

3(-2) - 3 = -9

-9 = -9 --- this is true.

Hence, the coordinates of the 4th vertex are (-2,3)

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Answer

Let x be that number We know x + 5 = 12 ( the number plus five equals to 12)=> x = 5-12 = 7 so, that number is 7.

explanation:

Hope this helps:)

:3

have a good day or a beautiful day:3

Answer:

y₁ - y₂ = (-7/9)(x₁ - x₂)

Step-by-step explanation:

The general structure for an equation in point-slope form is:

y₁ - y₂ = m(x₁ - x₂)

In this form, "m" represents the slope and the "x" and "y" values come from each point. To find "m", plug the values of each point into the equation.

Point 1: (4, -3)                   Point 2: (-5,4)

y₁ - y₂ = m(x₁ - x₂)                                  <---- Original equation

-3 - 4 = m(4 - (-5))                                 <---- Plug values in for "x" and "y"

-7 = m(4 - (-5))                                      <---- Simplify left side

-7 = m(9)                                               <---- Simplify within parentheses

-7/9 = m                                              <---- Divide both sides by 9

I don't exactly understand what "fully simplified point-slope form" means because if all of the variables are plugged in, you wouldn't be left with an equation. It may just be asking for the slope, which in this case would make the equation look like this:

y₁ - y₂ = (-7/9)(x₁ - x₂)  

It may want you to find the equation in slope-intercept form (y = mx + b), and you would have to find "b". Sorry I don't quite understand what exactly you are looking for.

The given quadratic expression; 5b² -6b -2 is prime because the discriminant is not a perfect square.

According to the task content; it is required to identify if the expression is prime.

On this note, it follows that the discriminant of the expression can be evaluated as follows;

= 36 -(4× 5 × -2)

= 76.

Hence, the expression is prime since 76 is not a perfect square.

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Answer: x-axis

Explanation:

Hope that helps!

Answer:

(3, 0)

Step-by-step explanation:

Given:

Rotation rule for -90°:  (x, y) → (y, -x)

As the center of rotation is not the origin, we cannot simply apply the above rule.

To rotate an image around a point other than the origin:

1.  Subtract each point of the image from the point of rotation:

⇒ Point of rotation - point of image

⇒ (-2, 6) - P = (-2, 6) - (-8, 1)

                    = (6, 5)

2. Rotate this about the origin by applying the rotation rule:

⇒ (x, y) → (y, -x)

⇒ (6, 5) → (5, -6)

Add the point of rotation to each rotated point of the image:

⇒ (5, -6) + (-2, 6) = (3, 0)

Therefore, the location of the image of P (-8, 1) after a counterclockwise rotation of 90° about (-2, 6) is (3, 0).

Answer:

See below for answers and explanations

Step-by-step explanation:

Part A

Assuming that conditions have been met for the interval, we use the formula [tex]\displaystyle CI=\bar{x}\pm t\frac{s}{\sqrt{n}}[/tex] where [tex]\bar{x}[/tex] represents the sample mean, [tex]t[/tex] represents the critical value, [tex]s[/tex] represents the sample standard deviation, and [tex]n[/tex] is the sample size.

The critical value of [tex]t[/tex] for an 80% confidence level with degrees of freedom [tex]df=n-1=25-1=24[/tex] is equivalent to [tex]t=1.317836[/tex]

Thus, we can compute the confidence interval:

[tex]\displaystyle CI=\bar{x}\pm t\frac{s}{\sqrt{n}}\\\\CI=32.64\pm1.317836\biggr(\frac{9.39}{\sqrt{25}}\biggr)\\\\CI\approx\{30.17,35.11\}[/tex]

Therefore, we are 80% confident that the true mean age of all customers is between 30.17 and 35.11 years.

Part B

The margin of error is [tex]\displaystyle t\frac{s}{\sqrt{n}}=1.317836\biggr(\frac{9.39}{\sqrt{25}}\biggr)\approx2.47[/tex]

Answer:

Step-by-step explanation:

If x = 3

then

5x² = 5×(3)² = 5 × 9 = 45

and 45 > 40

Therefore

3 is not a solution to the inequality 5x² < 40.

Hi Student!

This question is fairly simply and the main goal of this question is to determine whether x = 3 is a solution of the expression that was provided or not.  The first step that we take is to plug in all of the values or in this case we input the value 3 for everywhere we see x in the equation.  The next step is to simplify the expression on both sides and finally compare the expression to see if it evaluates to true.  If it evaluates to true then x = 3 is a solution but if it evaluates to false then x = 3 isn't a solution.

Plug in the values

Simplify the expression

Looking at the final expression that was simplified, we can see that it states that 45 is less than 40 when we know that is not the case.  Therefore, this would evaluate to the expression being false and x = 3 not being a solution of the expression that was given in the problem statement.

Answer:

2ax + b + C

where C is a constant.