What is the solution to the equation below? Round your answer to two
decimal places.
log₂ x = 2.5

The slope of the line having points (3,135), (5,225), and (7,315) is 45

Slope:

The ratio of how much y grows as x grows by a certain amount is known as a line's slope. The slope of a line indicates how steep it is, or how much y rises as x rises. Anywhere along the line, the slope remains constant (the same).

The formula of slope for a line(m)=[tex]\frac{y2-y1}{x2-x1}[/tex]

Given the points  (3,135) , (5,225) and (7,315)

Consider any two points, Let's say  (3,135) and (5,225).

Slope=[tex]\frac{225-135}{5-3}[/tex]

Slope=45

Therefore, The slope of the line having points (3,135), (5,225), and (7,315) is 45

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Answer:

x = 5

Step-by-step explanation:

5 x 5 = 25

25 - 7 = 18

The number of cabinets that can be placed along the wall is 15.

It should be noted that in this scenario, we simply have to calculate the perimeter.

This will be:

= 2(length + width)

= 2(1 1/2 + 6)

= 2(7 1/2)

= 15

Therefore, the number of cabinets that can be placed along the wall is 15.

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Answer:

y = 1/3x - 3

Answer:

Evan could be thinking of 200,000.

Step-by-step explanation:

The digit 2 in 328,907 has values 20,000 so in Evan's number it has the values 200,000.

Simplifying the given polynomial expression is; -(1/4)x³ - (7/2)x² + (214/16)x + (7/2)

We want to simplify the polynomial expression;

((1/2)x + 2)((1/2) - 2x) + ((1/4)x + (7/2))

Let us expand the first bracket to get;

((1/2)x * (1/2) + (2 * (1/2)) - ((1/2)x * 2x) - (2 * 2x))

⇒ (1/4)x + 1 - x² - 4x

⇒ 1 + (15/4)x - x²

Thus, our expression is now;

(1 + (15/4)x - x²)((1/4)x + (7/2))

This can be multiplied out to give;

(1/4)x + (15/16)x - (1/4)x³ + (7/2) + (105/8)x - (7/2)x²

= -(1/4)x³ - (7/2)x² + (107/8)x + (15/16)x + (7/2)

= -(1/4)x³ - (7/2)x² + (214/16)x + (7/2)

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Answer:

Just plug-in the variable associated with the question.

Step-by-step explanation:
2) w(n) = n² + 5n --> replace the n with 6

4) w(x) = 3x - 1 --> replace the x with -8

6) k(n) = 3n² - 1 --> replace the n with 4

8) g(a) = -2a² + 5 --> replace the a with 9

For example, for number 8, the answer would be -157 if you plug in the value.

g(9) = -2(9)² + 5

        = -2(81) +5

        = -165 + 5

        = -157

The value of the given equation is 19 x 75 + 238 x 33 = 9279.

Addition, subtraction, multiplication, as well as division, are the four fundamental arithmetic operations. The division represents one of the most fundamental procedures in our daily work. A large group is divided into equal smaller groups. For instance, divide 25 by 5. The division fact, in this case, in this case, will be 25/5 = 5.

She hits the bullseye = 19 times.

she hits the 33 point circle 238 times.

Total number of points:

19 x 75 + 238 x 33 = 9279

19 x 75 = 1425

238 x 33 = 7854

So,

The value of the given equation is 19 x 75 + 238 x 33 = 9279.

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I understand that the question you are looking for is:

Cora hits the bullseye (the 75 point circle) 19 times during the archery season she hits the 33 point circle 238 times. What is the total number of points for those hits Complete the equation to model the situation_. Enter the correct numbers in the boxes. _ x 75 + _ x 33 =

In the given function, the Statement B and C are correct.

According to the statement

We have to find that the y-values of the two functions.

So, For this purpose, we know that the

Function is an expression, rule, or law that defines a relationship between one variable and another variable

From the given information:

The given functions are:

f(x) = -5* +2 and g(x)=-5x² +2

In these functions, we see that the when we solve these functions

Then

The maximum y-value of f(x) approaches 2.

And when we solve the function g(x) then g(x) has the largest possible y-value.

Then the statements in the two functions are the Statement B and C correct.

So, In the given function, the Statement B and C are correct.

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Answer:

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes.

Step-by-step explanation:

Answer:

Step-by-step explanation:

white cops

The diameter of the circle whose circumference is 47.1cm comes out to be 15cm

Let us assume the diameter of circle whose circumference be x

The formula for circumference of the circle is 2 r

As we are already been provided with the circumference of the circle in the question as 47.1 cm

The radius of circle is half of the diameter of the circle

So, the radius of the circle is x/2

 2 r = 47.1

We will use the value of as 3.14 as provided in the question

2 3.14 x/2 = 47.1

3.14x= 47.1

X=47.1/3.14

X= 15cm

So, the diameter of the circle whose circumference is 47.1cm comes out to be 15cm

The correct question is What is the diameter of a circle whose circumference is 47.1 cm? use 3.14 for pi and enter your answer as decimal

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Answer:

4.47 OR,. 4 whole 8/17

4 is the whole 8 is remainder and divisor is 17 as well as dividend is 76

Step-by-step explanation:

[tex] \frac{76}{17} [/tex]

By dividing;

=4.47

Answer:

c

Step-by-step explanation:

166% is also equal to 1.66 as a decimal. 1 2/3 as a decimal is 1.6666 repeating. It can't be 166% because they are equal.

7/3 is equal to 2 1/3. Without converting it to a decimal, you already know 2 is bigger than 1, so option c is your answer.

Answer:

C.

Step-by-step explanation:

7/3 = 2.3 > 1 2/3

Answer:

25

______________________________________________________

[tex]\left(19-4\right)^2\div \left(34-5^2\right)[/tex]
First, use good ol' PEMDAS to solve the order of operations!
[tex]=15^2\div \left(34-5^2\right)[/tex]
Then, simplify what's inside the parenthesis.
[tex]=15^2\div \:9[/tex]
Calculate the exponents.
[tex]=225\div \:9[/tex]
Divide.
[tex]225\div \:9=25[/tex]
______________________________________________________
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The value of  ( 19 - 4 )² ÷ (34 − 5²) is 25.

Here,

The expression is;

( 19 - 4 )² ÷ (34 − 5²)

We have to find the value of given expression.

What is Mathematical expression?

The combination of numbers and variables by using operations addition, subtraction, multiplication and division is called Mathematical expression.

Now,

The expression is;

( 19 - 4 )² ÷ (34 − 5²)

To solve, we get;

⇒ ( 19 - 4 )² ÷ (34 − 5²)

⇒ ( 15 )² ÷ (34 − 25)

⇒ 225  ÷ 9

By divide,

⇒ 25

Hence, The value of  ( 19 - 4 )² ÷ (34 − 5²) is 25.

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Answer:

(-9) Simplify is just 9

Step-by-step explanation:

Answer:

[tex]2x^{4} - 3x^{2} + 7x[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

6.92

first of all let's recall that on the negative side of the number line, the closer to 0, the greater, so -1 is much greater than -1,000,000.

well, let's simply try to convert both fractions to the same denominator by multiplying top and bottom by 1 or namely the same value, hmmm let's multiply -2/3 by 2/2 = 1, and -1/2 by 3/3 = 1

[tex]-\cfrac{2}{3}\cdot \cfrac{2}{2}\implies -\cfrac{4}{6}\hspace{5em}-\cfrac{1}{2}\cdot \cfrac{3}{3}\implies -\cfrac{3}{6}[/tex]

well, rats, no much wiggling room there, well, let's simply multiply them again by 1, in this case hmmmm 2/2 for both

[tex]-\cfrac{4}{6}\cdot \cfrac{2}{2}\implies \boxed{-\cfrac{8}{12}}\hspace{5em}-\cfrac{3}{6}\cdot \cfrac{2}{2}\implies \boxed{-\cfrac{6}{12}} \\\\\\ \underset{-\cfrac{2}{3}}{\boxed{-\cfrac{8}{12}}}\hspace{5em} < \qquad -\cfrac{7}{12}\qquad < \hspace{5em} \underset{-\cfrac{1}{2}}{\boxed{-\cfrac{6}{12}}}[/tex]

Answer:

[tex]p ≤6[/tex]

Step-by-step explanation:

Inequality: [tex] - 4p +36 ≥2p[/tex]

Collect like terms

→ [tex] - 4p - 2p≥ - 36[/tex]

→ [tex] - 6p≥ - 36[/tex]

Divide both sides by -6

→ [tex] \frac{ - 6p}{ - 6}≤\frac{ - 36}{ - 6} [/tex]

Therefore: [tex]p ≤6[/tex]

Using it's concept, the average rate of change of the function on the interval [0,2] is of -1.5.

Before going into the average rate of change, the other items are correct.

The average rate of change of a function is given by the change in the output divided by the change in the input. Hence, over an interval [a,b], the rate is given as follows:

[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]

For the interval [0,2], we have that:

Hence the rate is:

r = (0 - 3)/(2 - 0) = -1.5.

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Answer:

B, -6+4

Step-by-step explanation:

By using the distributive property on -(-4) you multiply the negative by -4, which makes it a positive, aka +4

- a negative x a negative = positive

- negative x positive = negative

- positive x positive = positive

Therefore, you get -6+4.

Answer:

to extend over or past and cover a part of The roof shingles overlap each other. 2 : to have something in common with Baseball season overlaps the football season in September. 1 : to occupy the same area in part The two towns overlap.

Step-by-step explanation:

The sampling techniques are given as follows:

a) stratified sample.

b) simple random sample.

c) cluster sample.

d) systematic sample.

e) convenience sample.

Samples may be classified as:

Then:

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The equation:[tex]53 = 8x + 5[/tex]

Get 5 to cross over the = sign so it meets its kind which is 53 and then changes to minus(-) due to the equality sign.

[tex]53 - 5 = 8x⟹ 48 = 8x[/tex]

Now divide both sides of the equation by 8 to find the value of x

[tex] \frac{48 }{8} = \frac{8x}{8} [/tex]

[tex]6 = x[/tex]

Therefore:

[tex]x = 6[/tex]

The length and width of the rectangle is 23 and 11 cm.

Given, perimeter = 68 cm

A rectangle's perimeter P is determined by the equation P=2l+2w, where l is the rectangle's length and w is its width. In the formula A=lw, where l is the length and w is the width, the area A of a rectangle is determined.

let the width of the rectangle be x.

and length of the rectangle be 12 ₊ x

Formula of the perimeter = 2l ₊ 2w

68 = 2(12 ₊ x) ₊  2x

68 = 2x ₊ 24 ₊ 2x

68 ₋ 24 = 4x

44 = 4x

x = 44/4

x = 11

Hence the width of the rectangle is 11 cm and length:

12 ₊ x

= 12 ₊ 11

= 23 cm

Hence we get the length and width of the rectangle as 23 and 11 cm.

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Based on the fact that the model has a scale of 1/12, solving the equation of 12x = 86 to determine the tons of the completed sculpture gives 7 tons.

The model is said to have a scale of 1/12 of the original stone landmark which means that if the original famous landmark weighs 86 tons, the tons of the model can be found by the formula:

12x = 86

When solving for x which is the tons of the completed sculpture, the weight would be:

12x = 86

x = 86 / 12

x = 7 tons

In conclusion, the completed sculpture would weigh 7 tons.

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