Identify the domain and range of each function

If Christopher measured a line to be 12.2 inches long. If the actual length of the line is 12.1 inches, the percent error of the measurement, to the nearest tenth of a percent is: 0.83%.

Using this formula to find the percent error

Percent error = Measurement - Actual length / Actual length

Let plug in the formula

Percent error = 12.2 - 12.1 / 12.1

Percent error = 0.1 /12.1

Percent error = 0.0083 or 0.83%

Therefore we can conclude that the percent error is 0.83%.

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Answer:

Option E) 1400

Step-by-step explanation:

Based on the given conditions, formulate: 70‰ x 2000

Convert the percentage to decimals: 0.7 x 2000

Calculate the product or quotient: 1400

Hence , the answer is 1400

The equation of the trend line will be : Y = (1/4)x - 1.

Given is a scatter plot a shown in the image.

The general equation of a straight line is -

y = mx + c

{m} - slope

{c} - intercept along the y - axis

We can find the slope as follows. The line passes through the points -

(4, 0) and (0, - 1). We can write -

m = (- 1 - 0)/(0 - 4)

m = - 1/-4

m = 1/4

and

[c] = - 1

So the equation of the trend line will be -

Y = (1/4)x - 1

Therefore, the equation of the trend line will be : Y = (1/4)x - 1.

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Answer:

B) 3/2

Step-by-step explanation:

Answer:

The solution you are looking for is D.)

Step-by-step explanation:

To determine this, we need to find the amount of miles left they need to travel (243 - 157 = 86). Then we can divide that by the amount of miles per gallon (86 / 21.5 = 4). Because a possible solution to the answer is 4, we know that the dot needs to be solid (filled in), and because the solution can be greater than four, the arrow would be directed to the right / positive side of the line.

Answer:

60,000 liters

Step-by-step explanation:

30% of 60000 = 18000

60000 - 18000 = 42000

Answer:

Options 3, 4, and 5

Step-by-step explanation:

just count the x's.

If it equals 8, then its correct

Answer:

anong ka pong grade?

Step-by-step explanation:

matanong ko Lang!

Given:

The equation is:

[tex]\dfrac{5}{7}y=6[/tex]

To find:

The solution of the given equation by using the reciprocals.

Solution:

We have,

[tex]\dfrac{5}{7}y=6[/tex]

We need to multiply both sides by the reciprocal of [tex]\dfrac{5}{7}[/tex] to isolate the variable x.

The reciprocal of [tex]\dfrac{5}{7}[/tex] is [tex]\dfrac{7}{5}[/tex]. So, multiplying both sides by [tex]\dfrac{7}{5}[/tex], we get

[tex]\dfrac{5}{7}y\times \dfrac{7}{5}=6\times \dfrac{7}{5}[/tex]

[tex]y=\dfrac{42}{5}[/tex]

[tex]y=8.4[/tex]

Therefore, the value of y is 8.4.

Answer:

42/5

Step-by-step explanation:

Answer:

4:3 that's the answer

for the question

Answer:

4:3 is the correct answer

Step-by-step explanation:

The total students that took the exam is 16 but the students that passed are only 12 the ratio that represent it is remember ratio means division so is 16/12 which one / 4 will give you for over 3 as a correct answer

Answer:

124 degrees

Step-by-step explanation:

Since they are congruent the corresponding angles will be equal. There is only one obtuse in each triangle, Angles Y and N. N is measured to be 124 degrees so Y is also 124 degrees.

The amount of salt in 3/4 tablespoons is four times that of 3 tablespoons.

A stew recipe uses 3 teaspoons of salt for every 4 cups of water.

There is a ratio issue here.

As X is to three, 3 is to 4.

3 : 4 :: X : 3

To eliminate the fractions, multiply each integer in the ratio by 12.

9 : 12 :: 9X : 12

This is a portion of what is

9 / 12 = 9X / 12

to obtain, cross-multiply.

9 / 12 = 3 teaspoons of salt,

Check: 3 cup of flour yields 3 cups, which is a 4x increase.

The amount of salt in 9/12 tablespoons is four times that of 3 tablespoons.

The amount of salt in 3/4 tablespoons is four times that of 3 tablespoons.

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Answer:

16 times

Step-by-step explanation:

13 + 4 +8 = 25 total marbles

(4 is total number of blue marbles, 25 is complete total of marbles)

4/25 times =   ?/100 times

Because 25 times 4 is equal to 100, you then multiply 4 by 4 to get 16

16/100 times

The table represents a proportional relationship because all the ratios of y to x are equal to 3. (option B)

Two variables exhibit a proportional relationship if the constant of proportionality remains constant for all the given values in the table.

The equation that is used to represent a proportional relationship is:

y = kx

Where:

k = constant of proportionality

Value of k when x is 1:

3 = k

Value of k when x is 2:

6 = 2k

k = 6 / 2

k = 3

Value of k when x is 3:

9 = 3k

k = 9 / 3

k = 3

Value of k when x is 4:

12 = 4k

k = 12 / 4

k = 3

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Answer:

Sorry for answering this late, only just found this.

Answers are

a. We have two independent random samples.

c. The 10% condition is met.

f. The expected number of successes and failures for both samples are 24, 26, 29, 31.

Step-by-step explanation:

EDGE 2021

Once I finish the assignment I'll be making a quizlet with the answers.

Answer:

???

Step-by-step explanation:

The equation connecting y and x is y = 63/x and the value of y when x =21 is 3

From the question, we have the following parameters that can be used in our computation:

Variation = inverse variation

y = 7, x = 9

An inverse variation is represented as

k = xy

Where k is the constant of proportion

Substitute the known values in the above equation, so, we have the following representation

k = 7 * 9

Evaluate

k = 63

So, we have the following representation

xy = 63

Make y the subject

y = 63/x

Substitute the known values in the above equation, so, we have the following representation

y = 63/21

Evaluate

y = 3

Hence, the solution is 3

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The mass of the liquid is  4326 grams.

The liquid has a density of 1.40 g/ml and the volume of the liquid is 3090 ml. Therefore, the mass of the liquid can be calculated as follows:

The density of a liquid is a measure of how heavy it is for the amount measured. The liquid density is defined as its mass per unit volume.

Therefore,]

density = mass / volume

cross multiply

mass = density × volume

density = 1.40 g/ml

volume = 3090

Therefore,

mass of the liquid = 1.40 × 3090

mass of the liquid = 4326 grams.

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Answer:

c is incorrect

Step-by-step explanation:

Answer:    

3

Step-by-step explanation:

Answer:

76/15 or 5 1/15

Step-by-step explanation:

2/5=6/15

5/3=25/15

9/3=45/15

6/15+25/15+45/15=76/15 or 5 1/15

Answer:

[tex](d)\ \$13.34[/tex]

Step-by-step explanation:

Given

[tex]E = 1.89x + 2.89y[/tex] -- Objective function

Constraints:

[tex]2x + y > 10[/tex]

[tex]x + 2y > 8[/tex]

[tex]x,y>0[/tex]

Required

Minimum value of E

To do this, we apply graphical method

See attachment for plots of [tex]2x + y > 10[/tex] and [tex]x + 2y > 8[/tex]

From the attached plot, the point that satisfy [tex]x,y>0[/tex] is:

[tex](x,y) = (4,2)[/tex]

So, we have:

[tex]E = 1.89x + 2.89y[/tex]

This gives:

[tex]E =1.89 * 4 + 2.89 * 2[/tex]

[tex]E =7.56 + 5.78[/tex]

[tex]E =13.34[/tex]

Answer: 12

Step-by-step explanation: Because of the ratio we know that half of the screens will be showing action films. Half of 24 is 12, so 12 screens will be playing action.

Answer:

1/2

Step-by-step explanation:

Slope(m)

= (y2 - y1)/(x2 - x1)

= (8 - 1)/(7+7)

= 7/14

= 1/2

The distance that he jumped in the sixth jump nearest to two decimal places will be 0.13.

Let a₁ be the first term and r be the common ratio.

Then the nth term of the geometric sequence is given as,

aₙ = a₁ · (r)ⁿ⁻¹

Every time an insect jump forward, the distance covered is half of the previous jump. If the insect initially jumped 8.4 cm.

The equation is given as,

aₙ = 8.4 · (1/2)ⁿ⁻¹

The distance that he jumped in the sixth jump will be given as,

a₆ = 8.4 · (1/2)⁶⁻¹

a₆ = 8.4 / 64

a₆ = 0.13125

a₆ ≈ 0.13

The distance that he jumped in the sixth jump nearest to two decimal places will be 0.13.

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