The graphs of functions f(x) and g(x) = f(x) + k are shown below:g(x)65432f(x))3-3The value of k is.(1 point)

To determine which option is correct, we first need to find the volume of both chocolate.

The volume of X:

The shape is a square-based pyramid. The volume is given by

From the diagram,

l = 5 cm

b = 6 cm

h = 10 cm

Substituting,

The volume of Y:

The shape is a triangular-based pyramid. The volume is given by

From the diagram,

l = 8 cm

b = 7.5 cm

h = 10 cm

From here, the volumes of both chocolates are the same.

Therefore, the chocolate he picks does not matter as both volumes are equivalent.

The SECOND OPTION is correct.

We know that

• Venus' orbital speed is 210 kilometers in 6 seconds.

• Earth's orbital speed is 270 kilometers in 9 seconds.

First, we have to divide the numbers to find the ratio

As you can observe, Venus has greater speed because it's 35 kilometers per second.

To answer this kind of questions, we need to take attention to the original function. In this case, the function is y = 1/x.

We can see from the graph that this function if we multiply this function by -1, the function takes the form of the graph. But we need to add to this function two units in the y-axis direction to obtain the function represented in the graph.

Therefore, the function that matches the one in the graph is y = -1/x +2 (option a).

ANSWER

EXPLANATION;

Apply Pythagora's rule to find the value of x

Volume of an hexagonal prism (v ): (3√3/2)a^2h

Where:

a = side base = 7cm

h= height = 7 cm

Replacing:

V = (3√3/2)7^2(7) = 891.14 cm3

First we need to define what collinear and coplaner means.

It is said that 3 or more points are collinear if they all lie on the same line.

From the diagram, point R, S, T do not lie on the same line.

Hence point R, S and T are not collinear

For a point or line to be coplaner, it must line in the same plane

Also looking at the diagram, points R, S, T do not lie in the same plane.

Hence

ANSWER

EXPLANATION

We want to find the probability P(A|B).

This is a conditional probability and its formula is:

where P(A n B) is the probability that the student plays basketball and soccer and P(B) is the probability that the student plays soccer.

We have that:

and

Therefore, we have that:

That is the answer.

Given:

The objective is to explain whether it is possible for a standard deviation to be equal to zero.

Explanation:

A standard deviation can be zero when all the data are equal.

In general the value of standard deviation will decrease while approaching close to the mean value. Similarly, the standard deviation will increase if data points are away from the mean value.

Hence, standard deviation can be zero if all the obtained/provided data contains equal value.

action

Given

Solution

First, find the LCM which is 20 and write as common denominator

Add the fraction

Now to the simplest form

The final answer

We were told that the school admissions office accepts 2 out of every 7 applicants. Thus, the probability that the school accepts an applicant is 2/7

There are only two outcomes. It is either the school accepts an applicant or it doesn't. If the school accepts 630 students, It means that 2/7 of the total number of applicants were accepted

Assuming the totla number of applicants is x, it means that

2/7 * x = 630

2x = 630 * 7 = 4410

x = 4410/2

x = 2205

The total number of applicants is 2205

The number of applicants that were not accepted is

2205 - 630 = 1575

1575 applicants were not accepted

Step-by-step explanation:

k= {-3,-9}

Because || always gets positive numbers.

For example |-5|=5, and |5|=5.

so |-9+6|=|-3| which is |-3|=3

and |-3+6|=|3| which is equal to 3.

Answer:

c) k = {-9,-3}

Step-by-step explanation:

Given equation,

→ |k + 6| = 3

Now the value of k will be,

→ |k + 6| = 3

→ k + 6 = 3 || → -(k + 6) = 3

→ k = 3 - 6 || → -k = 3 + 6

→ [ k = -3 ] || → [ k = -9 ]

Hence, value of k is -3 & -9.

Given data:

The given expression is x-5=11.

Substitute 5 for x in the above expression.

5-5=11

0=11

As LHS is not equal to RHS so x=5 is not the solution of the given exprression.

Thus, x=5 is not the solution.

Answer:

Explanation:

Given the phrase "Ichiro Suzuki is at the top of the lineup", you can identify that:

- The total number of letters the phrase has is:

- The number of consonants the phrase has is:

Therefore, you can find the probability that you select a consonant by dividing the number of consonants in the phrase by the total number of letters:

You can reduce the fraction by dividing the numerator and the denominator by 3:

Hence, the answer is:

First, let's identify each element in a box plot:

Looking at the first box plot (Construction, Jennie), the first quartile is 30, and looking at the second box plot (Teacher, Markos), the first quartile is 25.

Since the first quartile represents the salary, that means Jennie makes more money, and the amount she does more is $5000.

(The graph shows the money in thousands)

Therefore:

The question is asking for a number less or equal than 11 and less or equal to 49, then by the options we have, the number would be:

The property of division is apply to keep the equation 22a = 242 in balance.

What is division?

One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The other operations are multiplication, addition, and subtraction.

Consider, the given equation

22 a = 242

The property of equality should you apply to keep the equation 22*a= 242in balance means we have to use an arithmetic operation (multiplication, addition, and subtraction) and find the value of a.

On the left side, "a" is multiplied to 22.

So, divide both sides by "a", we get

[tex]\frac{22a}{22} = \frac{242}{22}\\ a = 11[/tex]

Hence, we use the division property to keep an equation in balance.

To know more about the division, click on the link

https://brainly.com/question/25289437

#SPJ1

Answer:

The property of division is apply to keep the equation 22a = 242 in balance.

What is division?

One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The other operations are multiplication, addition, and subtraction.

Consider, the given equation

22 a = 242

The property of equality should you apply to keep the equation 22*a= 242in balance means we have to use an arithmetic operation (multiplication, addition, and subtraction) and find the value of a.

On the left side, "a" is multiplied to 22.

So, divide both sides by "a", we get

[tex] \frac{22a }{22} = \frac{242}{22 } \\ a = 11[/tex]

Hence, we use the division property to keep an equation in balance.

To know more about the division, click on the link

https://brainly.com/question/25289437

#SPJ1

The x-intercepts are the points where the parabola crosses the x-axis,

Also, the y coordinate is always zero,

By looking at the graph we can see that the parabola crosses the x-axis at x = 4 and x= 6

X-intercepts = (4,0) and (6,0)

Let

x ----> number of streets that bear Fourth Street

y ----> number of streets that bear Main Street

we know that

x+y =14,593 --------> x=14,593-y -----> equation 1

and

x=y+443 ------> equation 2

Solve the system of equations

Equate both equations

14,593-y=y+443

solve for y

2y=14,593-443

2y=14,150

y=7,075

Find out the value of x

x=y+443 ---------> x=7,075+443=7,518

therefore

You have a cube with side 2 rst units.

In order to calculate the volume of the given cube, you use the following formula:

V = a³

where a is the length of cube sides.

By replacing the value of a into V formula you obtain:

V = (2 srt)³ units³

V = 8 r³s³t³

where you have used tha fact 2³=8 and that variables r,s and t power to 3 are equal to r³s³t³.

Hence, the volume of the given cube is V = 8 r³s³t³ units³

SOLUTION:

The mean is given by the formula;

We calculate this as;

Therefore, the mean is 3.4

The angle facing side b is 90 degrees

The angle facing side a is 75 degrees

Since the side facing angle b is greater than the angle facing angle a, therefore side b will be greater than side a.

This makes the correct option to be b>a

The first option is the correct option

The greatest common factor of the expression is:

This comes from the fact that 5 is the greatest common factor of the constants, whereas y^3 is the greatest common factor of the variable.

Find line of aproximation to data

the regression data line gives as result

y = ax + b

a= 11.73

b= 193.85

If CE and FH are parallel lines and angle EDG is 42 degree, then angle CDB is also 42 degree

If CE and FH are parallel lines and the line BI is the transversal

angle EDG = angle DGF (interior alternate angles)

(when two lines are parallel and is cut by a transversal, the interior alternate angles are equal)

So. angle DGF = 42 degree

angle CDB = angle DGF (corresponding angles)

(when two lines are parallel and is cut by a transversal, the corresponding angles are equal)

angle CDB = 42 degree

Therefore, if CE and FH are parallel lines and angle EDG is 42 degree, then angle CDB is also 42 degree

To learn more about parallel lines refer here

https://brainly.com/question/24607467

#SPJ9

Given the following functions:

f(x) = 2x - 1

g(x) = 3x

h(x) = x2 + 1

f(g(x)) means that we will be substituting the function of g(x) as x of the f(x) function.

We get,

7)

The ordered pairs are:

(-4, -2), (-2, 1), (0, -1), (-3, 0), and (-3,2)

Domain = {-4, -3, -2, 0}

Range = {-2, -1, 0, 1, 2}

A function must map every element of the domain to a unique number in the range

But here -3 is mapped to 0 and 2.

Hence it is not a function

8)

The ordered pairs are:

(-2, 3), (-1,-1), (0,-1), (1,-3), (3, 1)

Domain = {-2, -1, 0, 1, 3}

Range = {-3, -1, 1, 3}

In this case, every element of the domain is mapped to a unique

ut -The ordered pairs are:

Explanation

Let's remember some properties for the exponents

hence

let's calculate the product

therefore, the answer is

I hope this helps you

The correct option is D

The sum of their ages is 3x + 8

Given that Hugo's age = x

Jasmine's age = x + 3

Manny's age = (x + 3) + 2 = x + 5

The sum of their ages is:

x + (x + 3) + (x + 5)

= x + x + x + 3 + 5

= 3x + 8