Based on the pattern in the table, what is the value of a?
-64
Powers of 2
2-²
2-3
244
2-5
2-6
Value
1
2
4
1
80
1
16
1
32
a

2.

slope: rise(precipitation) / run (time)

In the real world, the slope means the relationship between time and precipitation.

3. AS the time increases, the precipitation increases. Is a linear function.

4. The y-intercept (0,y) means the amount of precipitation when no time passed since tracking.

Both y-intercepts have the same meaning.

At least 36.05 games should be played for the owner to make at least $75.

Let the number of games played = g

According to question,

Cost of each game = $7

Cost of g games = 7g

Prizes awarded to the winner costs the owner = $177.35

To make at least $75, the equation is

7g - 177.35 ≥ 75

7g ≥ 75 + 177.35

7g ≥ 252.35

 g ≥ 252.35 / 7

 g ≥ 36.05

Hence, at least 36.05 games should be played.

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Answer:

10.5 miles per minute

Step-by-step explanation:

630/60=10.5

The given coordinates in the question are

Let the coordinate at R be

The ratio of the line segment given is

The formula to calculate the coordinate of a line segment in a given ratio is given below as

The width of the border is 6 m after digging a border of uniform width on the other three sides.

Step 1:

Original garden plot is 4 m by 12 m. The 12 m side is against the wall.

A border of length D is along three sides of the plot (the 4th side is the wall).

Step 2

area of original garden plot is 12 x 4 = 48 [tex]m^{2}[/tex]

area of new plot = 96    [tex]m^{2}[/tex] (twice the original plot)

96 = (4 + D) (12 + 2D)

Set up equation for the area of the new area of the new plot (double the area of the old garden plot).

Step 3

96 = (4 + D) (12 + 2D)

[tex]96 = 2d^{2}+12d+4(2d+12)[/tex]

[tex]96 = 2d^{2}+12d+8d+48[/tex]

[tex]96 = 2d^{2}+20d+48[/tex]

[tex]96 -2d^2-20d-48 = 0[/tex]

[tex]48-2d^2-20d = 0[/tex]

[tex]-2(d^2+10d-24) = 0[/tex]

d = -12

Now solve for D

Step 4

D = 6 meters

Ignore negative answer because border must be a positive number. So Border is -12 [tex]m^{2}[/tex] (6 m).

Hence the answer is the width of the border is 6 m after digging a border of uniform width on the other three sides.

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Answer:JEROME

Step-by-step explanation:

Answer: 332.6667

Step-by-step explanation: trust

Using operations of fractions, the answer obtained is

There are 5  [tex]1\frac{1}{6}[/tex] in [tex]5\frac{5}{6}[/tex]

What is fraction?

Suppose there is a collection of objects and a part of the collection has to be taken. The part which is taken is called fraction. In other words, part of a whole is called fraction.

The upper part of the fraction is the numerator and the lower part of the fraction is the denominator,

Let there are x  [tex]1\frac{1}{6}[/tex] in [tex]5\frac{5}{6}[/tex]

[tex]1\frac{1}{6} x = 5\frac{5}{6}\\\frac{7}{6}x = \frac{35}{6}\\x = \frac{35}{6} \times \frac{6}{7}\\x = 5[/tex]

There are 5  [tex]1\frac{1}{6}[/tex] in [tex]5\frac{5}{6}[/tex]

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The area of the square is 8 square units.

According to the question,

We have the following information:

Points A and C are two opposite vertices of the ABCD square.

The coordinates of these points are A(3,2), C(7,2).

Now, we will use the distance formula to find AC:

d = [tex]\sqrt{(y2-y1)^{2}+ (x2-x1)^{2} }[/tex]

d = [tex]\sqrt{(2-2)^{2}+ (7-3)^{2} }[/tex]

d = [tex]\sqrt{4^{2} }[/tex]

d = 4 units

Now, when A and C are opposite vertices then AC is a diagonal.

Side of the square = diagonal/[tex]\sqrt{2}[/tex]

Side = 4/√2 units or 2√2 units

Formula to find the area of square:

Side*side

2√2*2√2

4*2

8 square units

Hence, the area of the square is 8 square units.

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x^2 - 5 this will be the equation formed.

An exponent is the number of times a number is multiplied by itself. For example, 2 to the third (written as 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of one is itself.

let the number be x

x^2 - 5 this will be the equation formed

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We are given an estimate equation.

Let the estimate sales volume be "s" and advertising expenditure be "a".

The given equation is:

The company has a target sales of 175,000, which is a value for "s".

To get how much they need to allocate for advertising, we can solve for "a" in the equation and substitute the "s" value with 175,000:

Now we substitute 175,000 into "s":

So, by the equation estimate, the sales manager should allocate $327,239 for advertising.

The ferris wheel cast a shadow of 42 meters Tall.

A man of height 2 meters cast a shadow of 3 meters . The height of the ferris wheel can be computed below

height of the ferris wheel = 28 meters

We will take an example of a rectangle with a scale factor of enlargement by 2.

For example, consider a rectangle with dimensions of 6 cm and 3 cm.

If we increase the scale factor for the initial rectangle by 2, both sides of the rectangle will be doubled. By raising the scale factor, we mean multiplying the present rectangle measurement by the supplied scale factor. We have multiplied the original rectangle measurement by 2 here.

The rectangle's length was originally 6 cm and its width was 3 cm.

After multiplying by two, the length is 12 cm and the width is 6 cm.

Thus, we took an example of a rectangle with a scale factor of enlargement by 2. We consider this for a better understanding.

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SOLUTION

By definition, adjacent angles are (of a pair of angles) formed on the same side of a straight line when intersected by another line.

Vertical Angles are the angles opposite each other when two lines cross.

Going by this above definition, a pair of adjacent angles in the figure in Q1 are:

4 and 2.

Going by this above definition, a pair of vertical angles in the figure in Q1 are:

3 and 2.

We are asked to determine the volume of the cylinder. To do that we will use the following formula:

Where "r" is the radius and "h" is the height. Replacing the values:

Solving the operations:

Therefore, the volume is 502.4 cubic centimeters.

Answer:

See the attached image for work.

1) The slope is 4.

2) The slope is 2.

Answer:

on the first one the rise is 20 and the run is 5. 5 divided by 20 is 4 so the slope is 4. I haven't answered the second one yet, sorry.

Answer:

5

Step-by-step explanation:

((12*3)-(3*1/3))/((4*3-5))=

((36)-(1))/((12-5))=

(35)/(7)=5

Answer: it is going to be 35/7 = 5

The ratio of screamers to runners are 4:6 and 10:15.

Given,

the ratio of customers who screams and customers who run away is 2:3

Let

number of screamers be 'x'

number of runners be 'y'

To find number of screamers we can solve the ratio in proportion,

[tex]2:3::x:6\\\frac{2}{3}=\frac{x}{6}\\ \frac{2*6}{3}=x\\ 4=x[/tex]

Verify: [tex]4:6=2:3[/tex]

To find number of runners we can solve the ratio in proportion,

[tex]2:3::10:y\\\frac{2}{3}=\frac{10}{y}\\ {y}=\frac{3*10}{2}\\ y=15[/tex]

verify:[tex]10:15=2:3[/tex]

Hence, the ratio of screamers to runners are 4:6 and 10:15.

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Answer: Tic is either Toe's brother or sister.

Step-by-step explanation: There's really no explanation. It's just outside the box thinking.

Answer:

Explanation:

There are two possible answers for a tue-false test:

True and False

It is given

We need to find the area of a rectangle. The area of a rectangle is given by:

The rectangular tiles that measure 1.5 feet by 0.8 feet. So the area of each tile is:

Therefore, the number of tiles will be the total area of the floor divided by the area of each tile:

Answer: 5.3

Step-by-step explanation:

[tex]-16t^2 +126t=217\\ \\ 16t^2 -126t+217=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(217)}}{2(16)}\\\\t \approx 5.3 \text{ } (t > 0)[/tex]

The rule for the translated function is:

g(x) = 3*(x + 10)^2 - 7

First, we know that for a function f(x) a horizontal translation of N units is written as:

g(x) = f(x + N)

If N > 0, the translation is to the left.

if N < 0, the translation is to the right.

A translation of 5 units to the left is written as:

g(x) = f(x + 5)

Replacing f(x) we get:

g(x) = 3*(x + 5 + 5)^2 - 7

g(x) = 3*(x + 10)^2 - 7

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In the given line, the length of the line gi is 60 units.

So, the length of gi will be:

We know that,

Now, we can easily see that the given line is:

Therefore, in the given line, the length of the line gi is 60 units.

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Answer:

13

Step-by-step explanation:

65 ÷ 13 = 5

39 ÷ 13 = 3

13 ÷ 13 = 1

(All can be divided by 13 so the GCF is 13)

The width of the rectangle is equal to 3.42 meters

Let the width of the rectangle be represented by the variable x

thus from the question we can say that the length of the rectangle is 3 + x

Given is the area of the rectangle

we know that the area of the rectangle is Length × Breadth

Given area of the rectangle = 22 square meters

thus Area = Length × Breadth

On substituting the value we get

22 = ( 3 + x ) ( x )

x² + 3x = 22

x² + 3x - 22 = 0

b² - 4ac = 9 + 88 = 97

thus - b ± [tex]\sqrt{b^{2} -4ac}[/tex] / 2a

= - 3 ± 9.84 / 2

Thus the two values of x we will get are :

x= -12.84 / 2 = -6.42 which is rejected because width cant be negative

thus the value of x = 6.84 / 2 =3.42 meters

Thus we get values of x as

x =  3.42 meters

Thus the required width of the rectangle = 3.42 meters

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Explanation:

We can see that this is an isosceles triangle, because there are two sides that are 4 units long and the third side is 3 units long.

For isosceles triangles we have the following congruences:

Therefore angle x is congruent to the one that's 66º.

Then we have that the measures of the interior angles of any triangle add up 180º:

Answers:

• x = 66º

• y = 48º

A square pyramid and a square prism have the same length, width, and height. If the volume of the square prism is 900in3 , what is the volume of the square pyramid?

we know that

The volume of the square prism is equal to

where b is the length side of the square base and h is the height of the prism

The volume of the square pyramid is

Remember that

the volume of the square prism is 900in3

so

substitute in the formula of volume of the pyramid