Question options:

A.-4


B.0


C.4


D.-2

Jutin chooses a function J(x) = 3x - 1 that when he uses the number 7 as an input, then the output is 20.

As per the given data, Jutin chooses a function in which he uses the number 7 as an input, then the output is 20.

Here we have to determine which function Jutin has to use.

Now we have to substitute the value that x = 7 in all the given functions.

First function:

F(x) = 2\(x^{5}\)

F(7) = 2 \((7)^{5}\)

F(7) = 2 (16807)

F(7) = 33614 which is not equal to 20.

Second function:

G(x) = \(x^{2}\) - 19

F(7) = \((7)^{2}\) - 19

F(7) = 49 - 19

F(7) = 30 which is not equal to 20.

Third function:

H(x) = 13 - x

H(7) = 13 - 7

H(7) = 6 which is not equal to 20.

Fourth function:

J(x) = 3x - 1

J(7) = 3(7) - 1

J(7) = 21 - 1

J(7) = 20

The correct function is J(x) = 3x - 1

For more questions on substitution method

https://brainly.com/question/28663522

#SPJ4

(a) Find the dual of the LP.Primal problem isminimize \($b_1y_1+C_1x_1+...+C_nx_n$\) subject to \($a_{11}x_1+a_{12}x_2+...+a_{1n}x_n \leq\) \(b_1$...$a_{m1}x_1+a_{m2}x_2+...+a_{mn}x_n \leq b_m$ and $x_1, x_2,\)..., x_n\(\geq 0$\)

Let us find the dual of the above primal problem.

Dual problem ismaximize \($b_1y_1+...+b_my_m$\)subject to \($a_{11}y_1+a_{21}y_2+...+a_{m1}y_m \leq\)\(C_1$...$a_{1n}y_1+a_{2n}y_2+...+a_{mn}y_m \leq C_n$\)

and\($y_1, y_2, ..., y_m \geq 0$\)

(b) Find the standard form of the LP and dual.Standard form of the primal problem isminimize \($b_1y_1+C_1x_1+...+C_nx_n$\)subject to \($a_{11}x_1+a_{12}x_2+...+a_{1n}x_n +s_1 = b_1$...$a_{m1}x_1+a_{m2}x_2+...+a_{mn}x_n +s_m = b_m$\) and\($x_1, x_2, ..., x_n, s_1, s_2, ..., s_m \geq 0$\)

Standard form of the dual problem ismaximize \($b_1y_1+...+b_my_m$\)subject to \($a_{11}y_1+a_{21}y_2+...+a_{m1}y_m \leq 0$...$a_{1n}y\)

To know more about isminimize visit:

https://brainly.com/question/32370699

#SPJ11

Answer:

Multiplication: 6 × ¼

Division: 6 ÷ 4

Step-by-step explanation:

The answer of the equation is 1.5 cups

Answer:

The movie ended at 2:45

Step-by-step explanation:

If you add the 10 with the 35 then it makes 45 and 1+1 =2 so if you add 2 with 45 it makes 2:45

Answer:

Step-by-step explanation:

Here's why:

64 and 32 are both divisible by 8. 64 / 8 = 8 and 32 / 8 is 4.

So then, we make the denominator 8 and numerator 1.

Answer:

B

Step-by-step explanation:

A. 2L, 2.9L, 2.5L, 2.4L

B. 2L, 2.4L, 2.5L, 2.9L

C. 2.9L, 2.5L, 2L, 2.4L

D. 2.9L, 2L, 2.5L, 2.4L

Answer:

what is in order from least to greatest is B

Step-by-step explanation:

as we know 1L = 10dL = 100cL = 1000mL so that we have 2L then 24dL (2.4L) then 250cL (2.5L) then 2900mL (29L)

The source of internal invalidity reflected in this example is experimental mortality, as the drop in sample size due to soldiers being reassigned to different stations across the U.S. can lead to a decrease in statistical power and increased risk of bias in the results.

This example reflects the source of internal invalidity known as c) experimental mortality. Experimental mortality refers to the loss of participants during an experiment, which may cause issues with the overall validity of the results. In this case, the reassignment of soldiers to different stations across the U.S. caused the sample size to drop, potentially affecting the outcome of the study on the effect of group size on group morale.

To learn more about mortality : brainly.com/question/6344227

#SPJ11

Answer:

44

Step-by-step explanation:

1. substitute variables with their constants

(-9)(-3) - (-3)(8) - 7

2. multiply all like terms

(27) - (-24) - 7

3. Combine all like terms

27 + 24 - 7

51 - 7

= 44

Answer:

44

Step-by-step explanation:

Evaluate z x - x y - 7 where x = -3, y = 8 and z = -9:

z x - x y - 7 = -9 (-3) - -3×8 - 7

Hint: | Multiply -9 and -3 together.

-9 (-3) = 27:

27 - -3×8 - 7

Hint: | Multiply -1 and -3 together.

-(-3) = 3:

27 + 3×8 - 7

Hint: | Multiply 3 and 8 together.

3×8 = 24:

27 + 24 - 7

Hint: | Evaluate 27 + 24 using long addition.

| 1 |  

| 2 | 7

+ | 2 | 4

| 5 | 1:

51 - 7

Hint: | Subtract 7 from 51.

| 4 | 11

| 5 | 1

- | | 7

| 4 | 4:

Answer: 44

Answer:

-54 and 56

Step-by-step explanation:

An integar is only the number which has no decimals or fractions

Answer:

Tuesday

Step-by-step explanation:

Answer:

Saturday.

Step-by-step explanation:

There are 7 days in a week.

. . . . . . . . . . . . 10,000 days

10,000 days = ------------------- = 1428.57142847 weeks

. . . . . . . . . . . . 7 days / week

My answer indicates 1428 full weeks, the decimal portion indicates a partial week that is added to the number of full weeks.

that mean we need to convert this decimal portion into the number of days.

0.57142847 weeks  x 7 days / week = 4 days

If the war starts on Wednesday, our calculations above tell us the 10,000th day occurs 1428 full weeks plus 4 additional days later.

A full week has 7 days, for a full week starts on Wednesday,that mean it will end on a Tuesday because:

Wednesday = day #1

Thursday = day #2

Friday = day #3

Saturday = day #4

Sunday = day #5

Monday = day #6

Tuesday = day #7

At the end the 1428th (full) week is on a Tuesday.

Then that's when we add the partial week of 4 days, we get:

Wednesday = 1 day later

Thursday = 2 days later

Friday = 3 days later

Saturday = 4 days later.

Therefore, 10,000 days from Wednesday is a Saturday.

⊱________________________________________________________⊰

Answer:

Step-by-step explanation:

Take the cube root of both sides. That way, you'll get rid of the ³ next to x and leave x by itself

\(\large\boldsymbol{\rm{x=\sqrt[3]{13} }}\)

done !!

⊰________________________________________________________⊱

the answer would be C

Step-by-step explanation:

seeing the graph u can see that it moving 2 right and 1 up

The slope of given line from the graph is 2. Therefore, option D is the correct answer.

In the graph, it is given that x-axis represents time (min) and y-axis represents volume(gal).

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The formula to find the slope of a line is slope = Rise/Run

From the graph, the slope is

Slope (m)= 6/3

= 2

The slope of given line from the graph is 2. Therefore, option D is the correct answer.

To learn more about the slope of a line visit:

https://brainly.com/question/14511992.

#SPJ5

The only possibility for the side lengths of the square, given the conditions is each triangle has sides of 12 cm, and the square has sides of 23 cm.

Since the square has four sides of equal length, the total length of the square's perimeter is 4x.

Each equilateral triangle has three sides of equal length, and since there are three triangles, the total length of all triangles' perimeters is 3 x 3y = 9y.

The equation for the equal cutting:

4x + 9y = 200

For y = 1:

4x = 200 - 9 x 1 = 191, which is not divisible by 4

For y = 2:

4x = 200 - 9 x 2 = 182, which is also not divisible by 4.

Continuing leads to :

For y = 12:

4x = 200 - 9 x 12 = 92, which is divisible by 4.

So, x = 92 / 4 = 23

The only solution in integers that meets the conditions of the problem is: each triangle has sides of 12 cm, and the square has sides of 23 cm.

Find out more on possibilities at https://brainly.com/question/31190580

#SPJ9

Answer:

6 gallons

Step-by-step explanation:

32/4=8

48/8=6

Answer: 6

Step-by-step explanation: If 4 gallons can take you 32 miles, divide 4 into 32 to get 8. That means 8 miles is 1 gallon. Now just do 48/8 to get 6.

Answer:

8 units

Step-by-step explanation:

Answer:

search-icon-header

Search for questions & chapters

search-icon-image

Question

Bookmark

A boy is cycling such that the wheels of the cycle are making 140 revolutions per minute. If the diameter of the wheel is 60cm, calculate the speed per hour with which the boy is cycling.

Easy

Solution

verified

Verified by Toppr

Radius of the wheel =r=

2

60

=30 cm

Circumference of the wheel =2πr=2×

7

22

×30=

7

1320

cm

Distance covered in 1 revolution =

7

1320

cm

Distance covered in 140 revolutions =

7

1320

×140=26400 cm=264 m=

1000

264

km

Distance covered in one minute = Distance covered in 140 revolutions =

1000

264

km

Distance covered in 1 hour =

1000

264

×60=15.84 km

Hence, the speed with which the boy is cycling is 15.84km/hr.

The diameter of the circle is approximately 60 inches.

To explain further, we can use the formula relating the central angle of a sector to the length of its intercepted arc. The formula states that the length of the intercepted arc (A) is equal to the radius (r) multiplied by the central angle (θ) in radians.

In this case, we are given the central angle (225 degrees) and the length of the intercepted arc (30π inches).

To find the diameter (d) of the circle, we need to find the radius (r) first. Since the length of the intercepted arc is equal to the radius multiplied by the central angle, we can set up the equation 30π = r * (225π/180). Simplifying this equation gives us r = 20 inches.

The diameter of the circle is twice the radius, so the diameter is equal to 2 * 20 inches, which is 40 inches. Therefore, the diameter of the circle is approximately 60 inches.

In summary, by using the formula for the relationship between central angle and intercepted arc length, we can determine the radius of the circle. Doubling the radius gives us the diameter, which is approximately 60 inches.

for such more questions on  diameter

https://brainly.com/question/30460318

#SPJ8

The volume of the triangular prism is  270m³

The formula for the volume of a triangular prism is expressed with the equation;

V= 1/2 bhl

Given that the parameters are;

Now, substitute the values

Volume, V = 1/2 × 10 × 9 × 6

Multiply the values, we get;

Volume = 1/2 × 540

Divide the values

Volume = 270m³

Learn more about volume at: https://brainly.com/question/1972490

#SPJ1

Answer:

175 Euros

Step-by-step explanation:

25(7) = 175

25(5) = 125

175 + 125 = 300

Answer:

15

Step-by-step explanation:

:Some equation I removed:

Or you can do 2 +8+14+20+26+32+38+44+50+56+..............

Answer:

5 units

Step-by-step explanation:

Answer:

That one is wrong it is 1

Step-by-step explanation:

Answer:

(2y+14.6m+3.8)-(34.8m+15.6+2y)

-20.2m-11.8

Answer:

Step-by-step explanation:

11 8/100 +2 25/100 is 13 33/100

Gender and ethnicity are categorical variables and therefore, the standard deviation cannot be calculated for variables.

The standard deviation is a measure of the spread or dispersion of the data around the mean. In other words, it tells us how far each data point in a set is from the average of the set.

When we analyze data, it's important to understand how much variation there is in the data, and the standard deviation is one way to do this.

When it comes to the three dependent variables in the data set (gender, age, and ethnicity), it is important to understand that the standard deviation is only calculated for numerical data.

However, age is a numerical variable, and the standard deviation can be calculated for it.

To find the standard deviation of the ages, we need to first find the mean of the ages and then subtract each age value from the mean and square the result.

Next, we add up all the squared deviations and divide by the number of ages minus one. Finally, we take the square root of the result, and that gives us the standard deviation of the ages in the data set.

To know more about standard deviation here.

https://brainly.com/question/16555520

#SPJ4

a) The probability of failing to meet the specification limit of 45-pounds tensile strength 15.87%.

b) The number of parts that would not meet the specification is 7,935.

a) Given that the tensile strength of a metal part is normally distributed with mean 40 pounds and standard deviation 5 pounds.

We have to find the probability of failing to meet the specification limit of 45-pounds tensile strength.

Using the standard normal distribution, we can find the probability of failing to meet the specification limit of 45 pounds as follows:

z = {45 - 40}/{5}

= 1

The probability of failing to meet the specification limit of 45 pounds is the probability that the standardized variable Z is greater than 1, which is given by:

P(Z > 1) = 0.1587

Therefore, the probability of failing to meet the specification limit of 45-pounds tensile strength is 0.1587 or 15.87%.

b) If the probability of failing to meet the specification is 0.1587, the probability of meeting the specification limit is

1 - 0.1587 = 0.8413

.If 50,000 parts are produced, then the expected number of parts that meet the specification limit is:

0.8413* 50,000 =  42,065.

Therefore, the number of parts that would not meet the specification is: 50,000 - 42,065 = 7,935.

Hence, about 7,935 parts would not meet the specification.

Know more about the normally distributed

https://brainly.com/question/4079902

#SPJ11

Answer:

Step-by-step explanation: To obtain the function g(x) that represents the indicated transformations of the graph of f(x) = 2, which are a translation 1 unit up followed by a horizontal stretch by a factor of 2, we can follow these steps:

To translate f(x) = 2 one unit up, we can add 1 to the function: f(x) + 1.

To horizontally stretch f(x) + 1 by a factor of 2, we can multiply the input (x) by 1/2: f(1/2 x) + 1.

Therefore, the function g(x) that represents the indicated transformations of f(x) is:

g(x) = f(1/2 x) + 1

g(x) = 2(1/2 x) + 1

g(x) = x + 1

Answer:

4x + y = 15

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 4 , then

y = - 4x + c ← is the partial equation

to find c substitute (2, 7 ) into the partial equation

7 = - 4(2) + c = - 8 + c ( add 8 to both sides )

15 = c

y = - 4x + 15

the equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

then

y = - 4x + 15 ( add 4x to both sides )

4x + y = 15 ← in standard form

Multiplying the numerator and the denominator by the same constant, we get an equivalent fraction, as follows:

Then, -6/4 is equivalent to -3/2