The table represents a linear function. What is the slope of the function? ​
The table represents a linear function. What is the slope - 1

Answers

Answer 1
Answer:

Slope is the change in y over the change in x.

Using the first and last value, the change in x would be the change from -4 to 4 which is 8

The change y y would be the change from -16 to 24 which is 40

The slope would be 40/8 which reduces to 5

The answer is 5


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A cut piece of ribbon is 21 inches long. The piece of ribbon is 15% of the original length of the ribbon.How long was the original length of ribbon?

Answers

Answer:

The original length of the rope is 140

Step-by-step explanation:

21x (100/15)

Answer:

140

Step-by-step explanation:

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What is 75 equal to?

A.) 7x 5
B. 5x5x5x5x5x5x5
C.7x7x7x7x7
D. 5 ‘7

Answers

Answer:

C

Step-by-step explanation:

you are multiplying 7 by its self 5 times

Final answer:

75 does not equal any of the options provided in the question. The calculations for each option yield numbers that are either larger or smaller than 75.

Explanation:

The number 75 can be best expressed as equal to 7x5 based on the options given in the question. Let's do a quick math check to confirm:

A) 7x5 = 35, which is not equal to 75.

B) 5x5x5x5x5x5x5 = 78125, which is much larger than 75.

C) 7x7x7x7x7 = 16807, which is also much larger than 75.

D) The last option 5 '7 does not make mathematical sense.

So, based on the calculations, none of the given options correctly express the number 75.

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A welding drawing shows that the​ weld-root reinforcement cannot exceed ​" in thickness. Your weld measurement tools are​ metric, so this value needs to be converted to millimeters. You know that one inch equals 2.54 centimeters. What is the maximum​ weld-root reinforcement allowed in​ millimeters? Round your answer to the nearest tenth of a millimeter.

Answers

Answer:

3.2 millimeters

Step-by-step explanation:

1/8*2.54 *10 = 3.175

= 3.2 millimeter. (rounded to nearest tenth)

Final answer:

To convert the thickness from inches to millimeters, the given value (in inches) should be multiplied by 25.4 and the result rounded to the nearest tenth of a millimeter.

Explanation:

The subject of this question is a conversion of units from inches to millimeters. In such conversions, one of the basic knowledge is that 1 inch is equivalent to 2.54 centimeters (cm). However, in this case, we need the answer in millimeters (mm), not cm. Keep in the back of your mind that 1 centimeter (cm) is equal to 10 millimeters (mm). This means, 1 inch will be equivalent to 2.54 cm, which further converts to 25.4 mm.

To find out the maximum value of weld-root reinforcement in millimeters, we simply need to apply the conversion factors. To convert the given thickness in inches to millimeters, you multiply the given value (in inches) by 25.4. Round your answer to the nearest tenth of a millimeter.

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Complete parts ​(a) through ​(c) below. ​(a) Determine the critical​ value(s) for a​ right-tailed test of a population mean at the level of significance with degrees of freedom. ​(b) Determine the critical​ value(s) for a​ left-tailed test of a population mean at the level of significance based on a sample size of n. ​(c) Determine the critical​ value(s) for a​ two-tailed test of a population mean at the level of significance based on a sample size of n.

Answers

Answer:

(a) The critical value of t at P = 0.01 and 15 degrees of freedom is 2.602.

(b) The critical value of t at P = 0.05 and 19 degrees of freedom is -1.729.

(c) The critical value of t at P = 0.025 and 12 degrees of freedom is -2.179 and 2.179.

Step-by-step explanation:

We have to find the critical t values for each of the following levels of significance and sample sizes given below.

As we know that in the t table there are two columns. The horizontal column is represented by the symbol P which represents the level of significance and the vertical column is represented by the symbol '\nu' which represents the degrees of freedom.

(a) A right-tailed test of a population mean at the α=0.01 level of significance with 15 degrees of freedom.

So, here the level of significance = 0.01

And the degrees of freedom = n - 1  = 15

Now, in the t table, the critical value of t at P = 0.01 and 15 degrees of freedom is 2.602.

(b) A left-tailed test of a population mean at the α=0.05 level of significance with a sample size of n = 20.

So, here the level of significance = 0.05

And the degrees of freedom = n - 1  

                                                = 20 - 1 = 19

Now, in the t table, the critical value of t at P = 0.05 and 19 degrees of freedom is -1.729.

(c) A two-tailed test of a population mean at the α=0.05 level of significance with a sample size of n = 13.

So, here the level of significance = (0.05)/(2) = 0.025 {for the two-tailed test}

And the degrees of freedom = n - 1  

                                                = 13 - 1 = 12

Now, in the t table, the critical value of t at P = 0.025 and 12 degrees of freedom is -2.179 and 2.179.

A barbecue restaurant gives 3 napkins for every 5 items ordered. if an order is for 30 items, how many napkins should be given? Use the double number line diagram to solve.​

Answers

Answer:

18 napkins

Step-by-step explanation:

If the restaurant gives 3 napkins for every 5 items ordered, and there's 30 items... you must divide 30 by 5 which is 6. Then, multiply 6 by 3. Therefore the answer is 18.

30  / 5 = 6

6 * 3 = 18

Hopethishelped:)

Answer:

18 napkins

Step-by-step explanation:

Solve x -2/3(3x - 4) + 3x = 5/6 is x -19/6, 11/6, 21/6, 29/6

Answers

Answer:

x=-11/12

Step-by-step explanation:

Given an equation for x

x -2/3(3x - 4) + 3x = 5/6

We are asked to find the value of x.

We use equation rules to solve

To get rid of denominator in fraction, let us multiply the whole equation by 6.

6x-4(3x-4) +18x = 5

Simplify:

-6x+18x+16 =5

12x = 5-16 = -11

x = -11/12

Answer:

- 11/6

Step-by-step explanation: