The edge of a cube is measured to be 20 inches. If the measurement is to be correct to within 1/10 inch, use differentials to find the error in the volume of the cube.

Answer: B

Step-by-step explanation:

What is an isosceles trapezoid?

An isosceles trapezoid is a type of quadrilateral in which the non-parallel sides have equal length and angle measure.

Let's address each answer to see which are true:

A) True: By definition of an isosceles trapezoid, the non-parallel sides have equal length and angle measure. 2x+10 and 4x-30 are written as equations to represent the unknown measurement of the angles A and D. Because this is an isosceles trapezoid, these angles would have the same measurement, meaning they are equal to each other.

B) False: A trapezoid is a quadrilateral. Quadrilaterals are four-sided figures which angles add up to 360°. Some other shapes that are quadrilaterals are squares, rectangles rhombuses and trapezoids. Because a trapezoid is a quadrilateral, the angles do not and can not add up to 180°

C) True: A trapezoid is a quadrilateral, which is a shape which angles add up to 360°. This means that Angles A, B, C, D of this shape should also add up to 360°.

D) True: An isosceles trapezoid is a type of trapezoid whose non-parallel sides have equal side lengths and angles measurements. Due to this definition, AB and CD would have the same length.

Answer: D

Step-by-step explanation: I believe this the correct answer. If you start by looking at the "right 3 units", going right on a coordinate plane is - and left is +, so right 3 units is -3. Then, down 4 units is -4 (on coordinate plane, up is + and down is -).

So then, plug it into the equation: h(x)= {x-3}-4

I hope this helps and you get it right :)

Answer:

Step-by-step explanation:

Using

Point A: x= 1 and y=3

And point B: x=-2 and y=-6

use equation of slope and substitute the values

Slope= YB-YA/Xb-Xa

= -6-3/-2-1

=3

The actual distance will be 4000 miles.

According to the question,

We have the following information:

The legend on a map states that 1 inch is 500 miles.

So, this statement can be rewritten in the form of following expression:

1 inch = 500 miles

Now, in order to find the actual distance for 8 inches, we will multiply the distance in 1 inch with 8.

(More to know: measurements like this are used in daily life to find the actual distance between two places.)

So, we have the following expression:

8 inches = 500*8 miles

8 inches = 4000 miles

Hence, the actual distance will be 4000 miles if it measures 8 inches on the map.

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Pair (1,y)

[tex]6(1)+1.2y=-2.4 \\ \\ 1.2y=-8.4 \\ \\ y=-7[/tex]

Pair (x,3)

[tex]6x+1.2(3)=-2.4 \\ \\ 6x=-6 \\ \\ x=-1[/tex]

The solutions of the quadratic equation is j = -3 and   j = 7  .

In the question ,

it is given that the quadratic equation is j² - 4j - 21 = 0,

we need to find the solution of the given equation .

to find the solution , we use splitting the middle term method .

j² - 4j - 21 = 0

j² - 7j + 3j - 21 = 0      .... splitting the middle term -4j = - 7j + 3j

taking j common form first wo terms and 3 common from last two terms ,

we get

j(j - 7) +3(j - 7) = 0

(j + 3)(j - 7) = 0

j + 3 = 0    and j - 7 = 0

j = -3 and   j = 7

Therefore , The solutions of the quadratic equation is j = -3 and   j = 7  .

The given question is incomplete , the complete question is

Find the solutions of the quadratic equation j² - 4j - 21 = 0  ?

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The equation of the line m is y = -2x + 4, for n is y = x - 1, for p is x = -4, and for l is y = 4.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The graph on which the straight line is shown:

The equation of the line m

(2, 0) and (0, 4)

y = (4)/(-2)[x - 2]

y = -2(x - 2)

y = -2x + 4

The equation the line n:

(1, 0) and (0, -1)

y = (-1)/(-1)[x - 1]

y = x - 1

The equation of the line p:

x = -4

The equation of the line l:

y = 4

Thus, the equation of the line m is y = -2x + 4, for n, is y = x - 1, for p is x = -4, and for l is y = 4.

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The correct statements regarding the linear function G(t) = 10 - 2t are given as follows:

The linear function is defined as follows:

G(t) = 10 - 2t.

In which the variables are:

The slope and the intercept are presented as follows:

The t-intercept is:

10 - 2t = 0

2t = 10

t = 5.

Which is the time it takes for the car to run out of fuel.

The options are given by the image shown at the end of the answer.

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Answer:

See attachment.

Step-by-step explanation:

1. Use the slope-intercept form to find the slope and y-intercept.

y = mx + b ; m= slope  b= y-intercept

2. Find the values.

m = 0

b = 7

slope: 0

y-intercept: ( 0, 7)

3. Find two points on the line, then graph them.

x = 0, 1

y = 7, 7

Answer:

Step-by-step explanation:

(6a)(b)(c)(2d)

The probability of contract bring given to a state wide operation is 0.2500

What is probability?

The area of arithmetic called likelihood deals with numerical representations of the chance that a happening can occur or that a press release is true. associate degree event's likelihood may be a range between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Main body:

Number of local insurance contract operations = 3

Number of state-wide operations = 3

Number of national wide operations = 6

Therefore total companies = 3+3+6

                                             = 12

Probability of contract being given to state wide company = 3/12

P(state wide) = 0.2500

Hence the probability of the given case is 0.2500.

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The number of visitors to the beach in June is B. 60000.

Since the pie chart isn't given, let the assumed percentage for the visit to the beach in June be 20%.

In this case, the new visitors visit their beaches each month in the summer. If the total number of visitors in the entire summer is 300,000 will be:

= Percentage for visits × Total people

= 20% × 300000

= 60000

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Answer:

[tex] y \geq 15[/tex]

Step-by-step explanation:

The range of the inverse is the same as the domain of the original function.

Answer:y>15

Step-by-step explanation:

The cost price of three T-shirts is $11.2. Since, the cost price is less than the perchage price hence it is profit.

What is profit and loss?

When perchaging price is less than the original price then it is known as profit. But if it is more than the original price than it is known as loss.

Consider the original price of the three T-shirts is [tex]x[/tex]. Now, the percent saving is given by the following expression:

[tex]\textnormal{Percent saving}=\frac{\textnormal{Total amount without saving-Total amount after saving}}{\textnormal{Total amount without saving}} \times 100\\30=\frac{\$14.50-x}{x}\times 100\\\frac{30x}{100}=14.5-x\\0.3x=14.5-x\\0.3x+x=14.5\\1.3x=14.5\\x=\frac{14.5}{1.3}\\x=11.2[/tex]

Hence, the price of three T-shirts is $11.2.

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The number of work cycles should be timed to estimate the average cycle time to within 2 percent of the sample mean with a confidence of 95.5 percent if a pilot study yielded these times is 23.

What are Sample Mean?

The average value of the provided sample data is determined using the sample mean formula. Instead of expressing them using actual terms, it is occasionally essential to calculate the sample term average. The ratio of the sum of terms to the total number of terms can be used to describe the sample mean formula. The center of the data is measured by the sample mean. The sample mean is used to estimate the mean of any population. Many times, without surveying the entire population, we must make educated guesses about how the population as a whole is behaving or what variables are affecting the population as a whole. In these situations, the sample mean is helpful. The sample mean is the average value obtained from the sample. The variance and subsequently the standard deviation are determined using the sample mean that was so obtained.

For the given data,

Standard Deviation = 0.3204

Mean =(6.1+6.9+6.9+6.7+6.8+6.4)/6=6.633

The margin of error = 2% of mean

Z score for 95.5 confidence interval = 1.96

Number of cycles, sqrt(n)

= (1.96× 0.3204) / (6.633×0.02)

= 4.7337

n = 22.408

Rounding to the next integer, then work cycles = 23

Hence,

The number of work cycles should be timed to estimate the average cycle time to within 2 percent of the sample mean with a confidence of 95.5 percent if a pilot study yielded these times is 23.

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Answer:

56

Step-by-step explanation:

one apple = one bag

the 56 apples = 56 bags

112 -56 =56

Can you please show the equation or rewrite the equation?

Newton earns $39 for working 3 hours as a radio host.

In terms of time and work, it refers to how long it takes a person or group of individuals to perform a task and how well each of them does it. A crucial concept that time and labour have in common with other arithmetic topics is the concept of proportionality. Efficiency is inversely proportional to time required while the amount of work is constant.

Efficiency serves as the proportionality constant, and work and time are directly proportional.

Given,

As a radio host, Newton puts in 15 hours and makes $195..

For a one hour the employee earns $13

So with this information we can put:

13×3=39

In 3 hours Newton earns $39 for working as a radio host.

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Hay 336 formas diferentes en las que se pueden entregar los 3 premios.

Sabemos que hay 8 participantes y de estos se elegiran a 3 para darles 3 premios diferentes.

El numero total de combinaciones es lo que obtenemos cuando tomamos el producto entre los números de opciones:

C = 8*7*6 = 336

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Answer:

180 flashes

Step-by-step explanation:

The lighthouse flashes 3 times in a minute then multiplied by 60 which is 180 flashes.

Using simplification, the number is −1.

Given that, If 2 is added to a number and this sum is tripled, the result is 4 more than the number.

Let the number is x.

Therefore from given information we get

2 is added to a number.

Then it is x+2.

Sum is tripled.

So 3(x+2)

4 more than number means x+4.

So according to the given statement equation should be

3(x+2)=x+4

Simplifying the expression

3x+6=x+4

Subtract 6 on both side

3x+6−6=x+4−6

3x=x−2

Subtract x on both sie

3x−x=x−2−x

2x=−2

Divide by 2 on both side we get

x=−1

Hence, the number is −1.

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Check the picture below.

Step-by-step explanation:

together they are 180°.

so,

(11x + 2) + (8x + 7) = 180

11x + 2 + 8x + 7 = 180

19x + 9 = 180

19x = 171

x = 171/19 = 9

and the angles are

(11x + 2) = 11×9 + 2 = 99 + 2 = 101°

(8x + 7) = 8×9 + 7 = 72 + 7 = 79°