1. BOWLING Brooke went bowling with her friends. She bowled 3 games, and
her average score for those games was 121. She had 117 her first game and
108 her second game. Write and solve an equation to find g, the score of
her third game.



pls show your work

We get the distance between the coordinates of the point S and T as 5 √2 units.

We are given the coordinates of two points as:

S = ( - 2, 4 )

T = ( 3, 9 )

We have to find the distance between the points S and T.

We will use the distance formula for this.

Distance = √(x₂ - x₁)² + ( y₂ - y₁)²

Here, we have:

x₁ = -2

x₂ = 3

y₁ = 4

y₂ = 9

Substituting the values in the formula, we get that:

Distance = √(3 + 2)² + ( 9 - 4)² units

Distance = √(5)² + ( 5)² units

Distance = √25 + 25 units

Distance = √50 units

Distance = 5 √2 units

Therefore, we get the distance between the coordinates of the point S and T as 5 √2 units.

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The area of the actual base of the castle in square yards is 43200 yards².

From the information, Rena is building a model of a castle using a scale of 1inch = 60 yards. Her model has a rectangular base that is 3 inches wide and 4 inches long.

The normal width will be:

= 60 × 3 = 180

The length will be:

= 4 × 60 = 240

Therefore, the area will be:

= Length × Width

= 240 × 180

= 43200 yards²

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By critically observing the graph shown above, the set of ordered pairs include the following:

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

An ordered pair can be defined as a pair of two elements that are typically written in a fixed order within parentheses as (x, y), which represents the x-axis (abscissa) and the y-axis (ordinate) on a coordinate plane.

Note: Let each box/cell in the graph represent 1 unit.

By critically observing the graph shown above, we can logically deduce that the set of ordered pairs include the following:

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From the given table, we have that:

1. The relation of the situation is: (20,2), (22.5, 5), (25,4), (27.5, 4), (29,4), (29,5), (30,1), (30,2), (30,3), (30,4), (30,5), (32.5, 1), (32.5, 3), (35,4), (40,2), (42.5, 3).

2. The domain is {20, 22.5, 25, 27.5, 29, 30, 32.5, 35, 40, 42.5} and the range is {1, 2, 3, 4, 5}.

3. There are inputs such as 25, 29, 30 and 32.5 that are mapped to multiple outputs, hence the relation does not represent a function.

To build the relation, we look at the graph, and write all pairs of (Age, Finishing Place), as follows:

(20,2), (22.5, 5), (25,4), (27.5, 4), (29,4), (29,5), (30,1), (30,2), (30,3), (30,4), (30,5), (32.5, 1), (32.5, 3), (35,4), (40,2), (42.5, 3).

Hence, for the given relation:

The domain is {20, 22.5, 25, 27.5, 29, 30, 32.5, 35, 40, 42.5} and the range is {1, 2, 3, 4, 5}.

A relation represents a function if each value of the input is mapped to only one value of the output.

For this problem, we have that:

There are inputs such as 25, 29, 30 and 32.5 that are mapped to multiple outputs, hence the relation does not represent a function.

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We get that the correct option is option (C) for the graph of the function as it is increasing before x = -2 and from x = 0 to x = 2.

We are given a graph of a function.

A graph of a function is a special case of a relation.

In mathematics, the graph of a function f is the set of ordered pairs, where f(x)=y.

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y.

Here, we can see that function increases before x = - 2, then it decreases till x = 0, then it again increases from x = 0 to x = 2 and then it again decreases.

Therefore, we get that the correct option is option (C) for the graph of the function as it is increasing before x = -2 and from x = 0 to x = 2.

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Answer:

B

Step-by-step explanation:

Since the quadilateral rotated 90° from the third quadrant it then lands back on the second quadrant.

The population of Tacoma in 2017 would be 865,527.

If the population grows by 9% every year, the population would grow at a compound rate each year and the equation that can be used to determine the population in 2017 would be an exponential equation.

Compound growth is when both the existing population and the increase in population every year.

The equation that can be used to determine the population of Tacoma in 2017 is:

The formula for calculating future value:

FV = P (1 + r)^n

Where:

200,000 x (1 + 0.09)^17

200,000 x (1.09^17) = 865,526.68

In order to round  865,526.68 to the nearest whole number , look at the tenth figure, if it is greater or equal to 5, add one to the units digit and change the tenth and hundredth digit to 0. So,  865,526.68 becomes  865,527.

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Answer:

just use the calculator

Step-by-step explanation:

The given equation r² - 15 = t + 19 is the equation of a parabola with vertex at (h, k) = (0, -34) and focal length |p| = 1/4.

I assume that the question is to describe or graph the equation r² - 15 = t + 19.

The given equation r² - 15 = t + 19 is the equation of a parabola with vertex at (h, k) = (0, -34) and focal length |p| = 1/4.

4p(y - k) = (x - h)² is the common equation for a parabola that faces up and down and has a vertex at (h, k) and a focal length of |p|.

Let us re-write the given equation in the standard form.

r² - 15 = t + 19

⇒ r² = t + 19 + 15

⇒ r² = t + 34

⇒ (r - 0)² = t + 34 (r can be written as r - 0)

⇒ (r - 0)² = t - (-34) (+34 is written as -(-34))

⇒ (r - 0)² = 4 × 1/4 × (t - (-34))

(4 × 1/4 is equal to 1. The given equation is unaffected by a multiplication by 1.)

⇒ 4 × 1/4 × (t - (-34)) = (r - 0)²  this equation is in the standard form. And here we have |p| = 1/4 and (h, k) = (0, -34).

Refer to the attached image for the graph of this equation.

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Answer:

x = -17

Step-by-step explanation:

You can plug in answer choices, or you can get x by itself.

I got x by itself because it is faster. Simply subtract 15 from both sides.

So, you would get x = -2 - 15. Keep change change to subtract negative numbers => -2 + -15 which equals to -17.

So x = -17.

You can also plug it in: 15 + -17 does equal -2.

Answer:

45

Step-by-step explanation:

=4+10×2÷4+36

=4+5+36

=45

Answer:

19

Step-by-step explanation:

Formula

h(x) = 4x + 3

Givens

x = 4

Comment

h(x) is the same thing as y. So the equation can be written as y = 4x + 3

Now it is a simple matter of solving 4x  + 3 given that x = 4.

Solution

f(4) = 4*4 + 3          Combine

f(4) = 16 + 3            Add

Answer

f(4) = 19

Answer:

-7

Step-by-step explanation:

f(x)=4x+5
f(-3)=4x+5
=4(-3)+5
-12+5
f(-3)= -7

The "x" in f(x) is the "x" in the equation

So, we are to solve: [tex] {8}^{15} \div {8}^{7} \times 8[/tex]

Using the exponential rule of multiplication and division with the same bases, which are:

[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]

and:

[tex] {a}^{m} \div {a}^{n} = {a}^{m - n} [/tex]

Therefore:

[tex] {8}^{15} \div {8}^{7} \times {8}^{1} = {8}^{15 - 7 + 1} [/tex]

→[tex] {8}^{9} = 134217728[/tex]

Therefore: 134217728 is the final answer

Answer:

53.5

Step-by-step explanation:

7% of 50 is 3.5 and you add it

Answer:

49x=70

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

-7 + 3 = -4

-11 + 9 = -2

-4 + -2 = 6

It is given that Dodi has two cups of liquid starch

2 cups =16 fluid ounces

1 container  can hold 6 fluid ounces

We are required to find that how many containers are required

1 container contains 6 ounces

Hence 16 ounces will be contained in 3 containers

Hence Dodi will required 3 containers.

Disclaimer:

The question is incomplete and jumbled

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Answer:57368

Step-by-step explanation:

put all them on top like this 573                                                                                                                                                                       you can do this                     68

Answer:

Step-by-step explanation:

The coordinate of C that is 1/5 the distance from A(4, 2) to B(8, 7) is C(x,y) = {(44/6, (37/6)}

The formula for calculating the point on a line divided into ratio a:b is expressed as;

C(x,y) = {(ax₁+bx₂)/2, (ay₁+by₂)/2}

Given the following coordinate points A(4, 2) to B(8, 7) divided in the ratio 1:5 is expressed as:

C(x,y) = {(1(4)+5(8))/1+5, (1(2)+5(7))/1+5}

C(x,y) = {(44/6, (37/6)}

Hence the coordinate of C that is 1/5 the distance from A(4, 2) to B(8, 7) is C(x,y) = {(44/6, (37/6)}

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Answer: 144

Step-by-step explanation:

Product =(12^-5)*(12^7) = 144

Mr. Farley used 0.4 pounds of hamburger per patty.

The unitary method is a technique used to find the solution by first finding the value of a single unit and then multiplying the value to get the required answer.

Here, we are given that Mr. Farley used 4 pounds of hamburger to

make 10 hamburger patties.

Given that all of these patties are of the same size, an equal amount of hamburger will be used to make each patty.

We have,

For 10 patties, we need ⇒ 4 pounds of hamburger.

Therefore, for 1 patty we will need ⇒ 4/10 pounds

= 0.4 pounds

Thus, Mr. Farley used 0.4 pounds of hamburger per patty.

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Answer:

It literally means either find out what the fractions divided by each other would be or find the answer to the fraction.

Ex: 5/10 divided by 1/2= 1

Ex: 5/10 is equal to 0.5

Step-by-step explanation:

Answer: means either find out what the fractions divided by each other would be or find the answer to the fraction.

Step-by-step explanation:

We're given:

Determine f(-5):

[tex]f(a) = 3a - a^2\\f(-5) = 3(-5) - (-5)^2\\f(-5) = -15 - 25\\f(-5) = -40[/tex]

Therefore, this statement is true.

Determine f(4):

[tex]f(a) = 3a - a^2\\f(4) = 3(4) - (4)^2\\f(4) = 12 - 16\\f(4) = -4[/tex]

Therefore, this statement is true as well.

Determine f(-1):

[tex]f(a) = 3a - a^2\\f(-1) = 3(-1) - (-1)^2\\f(-1) = -3 - 1\\f(-1) = -4[/tex]

Therefore, this statement is not true.

Determine f(0):

[tex]f(a) = 3a - a^2\\f(0) = 3(0) - (0)^2\\f(0) = 0 - 0\\f(0)=0[/tex]

Therefore, this statement is also not true.

f(-5) = -40

f(4) = -4

The compound inequality is: x<20 and x>10

Given,  a quantity of x is greater than 10 and less than 20.

A compound inequality (also known as a compounded inequality) is created when two or more inequalities are coupled with and. One part of an inequality must be true for a value to be a solution to an or inequality. It must make both parts true in order to be the solution to an inequality. X<3 or X>2, for instance.

Divide a compound inequality into two independent ones before attempting to solve it. Choose either a union of sets ("or") and an intersection of sets as the appropriate response ("and"). Then, resolve the graph and all inequalities.

Simply put, a compound inequality is more than one inequality that we want to address simultaneously. When referring to the resolution of both inequalities, we can either use the term "and" or "or."

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