You can replace the values in a problem with
___________ so that it's easier to use mental
math to complete the computation.

Since 8>3

[tex]f(8) = 7[/tex]

If  the hexagon is rotated counterclockwise about its center so that the vertex at O is moved to K. The amount of  degrees that the hexagon rotate is: 120°.

Let P represent the center point

First step is to calculate or to determine the central angle

Central angle=360°/6

Central angle=60°

Second step is to calculate the degree that hexagon rotate if it  rotate counterclockwise about its center

Hence,

∠KPO=2×60°

∠KPO=120°

Therefore If  the hexagon is rotated counterclockwise about its center so that the vertex at O is moved to K. The amount of  degrees that the hexagon rotate is: 120°.

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Answer:

y=x-3

Step-by-step explanation:

4x-5=7+4y

Subtract 7 from both sides.

4x-12=4y

Divide 4 from both sides.

x-3=y

y equals x minus 3.

y=x-3

Hope this helps!

Please mark as brainliest if correct!

Answer:

in order from greatest to least, 9.7 times 10^5, 9/7, 7/9, 10^-5

Step-by-step explanation:

if you put them in a graphing calculator you'll get the answers. try desmos

The actual area of the space for Joseph's new grill in square inches is 1280cm².

It should be noted that Joseph uses a scale of 2 cm for every 5 inches.

It should be noted that the drawing is 80inches by 100 inches.. Therefore, the original shape will be:

= 80 × 2/5 = 32

= 100 × 2/5 = 40

Therefore, the area will be:

= Length × Width

= 32 × 40

= 1280cm².

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Jospwh has a drawing of 80 inches by 10 inches. After making several scale drawings,Joseph decides on the best placement for a new grill on his desks.He uses a scale of 2 cm for every 5 in. what is the actual area of the space for Joseph's new grill in square inches?

Explanation:

Each pencil has a profit of Rs 1.25 since [tex]\text{revenue} - \text{cost} = 5.75 - 4.50 = 1.25[/tex]

Multiply that result with 20 to get the final answer shown above in bold.

On the number line, if 'A' lies at 7 then 'B' could lie at -2, 16.

What is a number line?

A number line can be stretched in either direction indefinitely and is commonly displayed horizontally.

The numerals on the number line grow as one goes from left to right and drop as one moves from right to left.

Given, AB = 9 and 'A' lies at 7

So, basically 'B' can be at -2 on the number line which makes the distance between 'A' and 'B' 9 units. The same is possible for B at 16 on the number line.

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CONVERSE = 2

INVERSE= 1

CONTAPOSITIVE=3

Nope, the domain is not centered at any point, let along that this is a linear function.

Answer:

team b by 1.1

Step-by-step explanation:

everything else was wrong when i did it

Answer:

if your asking how to get 29 then here is how

Step-by-step explanation:

Evaluate

3x+16=5x−42

Move the variable to the left side

3x+16−5x=−42

Subtract the terms

−2x+16=−42

Move the constant to the right side

−2x=−42−16

Subtract the terms

−2x=−58

Divide both sides

2x divided by -2

-58 divided by 2

Solution

x=29

According to the scale model, the bus has a real length of 252 inches (21 feet).

Scales are ratio between two lengths, scales are an useful resource to represent systems in affordable dimensions (i.e. The Empire State Building in a piece of paper). In this case, scales are defined by the following formula:

r = l' / l

Where:

If we know that r = 1 / 21 and l' = 12 in, then the real length of the bus is:

l = l' / r

l = 12 in / (1 / 21)

l = 252 in

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Answer:

The xxx-intercept is the point where a line crosses the xxx-axis, and the yyy-intercept is the point where a line crosses the yyy-axis.

Step-by-step explanation:

The two ways to generate fractions equivalent to a given fraction include:

A Multiply the numerator by a nonzero number or divide the denominator by a nonzero number.

B..Multiply or divide the numerator and denominator by the same nonzero number.

It should be noted that equivalent fractions simply means the fractions that are the same when reduced to their lowest terms.

It should be noted that multiplying the numerator by a nonzero number or divide the denominator by a nonzero number as.also.doung the same for the numerator and denominator by the same nonzero number will given an equivalent fraction.

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The number under a radical sign is called the Radicand .

Radicals : A no . of the form [tex]\sqrt[n]{x}[/tex] is called a radical , where x is the radicand and n is the index of the radical . Ex . of radicals [tex]\sqrt[3]{5}[/tex] , [tex]\sqrt{7}[/tex] , [tex]\sqrt[5]{3}[/tex] and so on .

It can be expressed in the form of rational exponent ( [tex]x^{1/n}[/tex] ) . This can be done by keeping the radicand as it is and raising the index to the power of exponent hence , it will be converted to rational exponent .

For ex . [tex]\sqrt{2}[/tex] = [tex]2^{1/2}[/tex] ,  [tex]\sqrt[3]{5}[/tex] = [tex]5^{1/3}[/tex] , [tex]\sqrt[5]{7}[/tex] = [tex]7^{5}[/tex] , and so on .

Hence , the number under a radical sign is called the Radicand .

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The scale factor from shape B to shape A is 4.

Step 1: To determine the scale factor, we need to know the dimensions of the shape before scaling and its dimensions after scaling. From the given diagram, figure A has a base length of 36 units and another base of length  28 units. Figure B has a base length of 9 units and another base length is 7 units.

Step 2: To find the scale factor, we divide a particular dimension from figure B with the same dimension in figure A.

The base length of figure B /the base length of figure A = 36 / 9 = 4

Similarly, the length of another base of figure B / another base of figure A = 28 / 7 = 4

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The complete terms and growth factors are as follows

Given data

a. __,5, 25, __625

-1,__,-36, 216,__

c. 10, 5, __, __0.625

d.__ ,__,36,-108,__

e.__,12,18,27,__

The terms of a geometric sequence is gotten by

a * r = T2

a is the first term

r is the growth factor

T2 is the second term

a. __,5, 25, __625

5 * r = 52

r = 5

growth factor is 5

the complete terms include

1, 5, 25, 125, 625

b. -1,__,-36, 216,__

-36 * r = 216

r = 216 / -36 = -6

r = -6

growth factor is -6

the complete terms include

-1, 6, -36, 216, -1296

c. 10, 5, __, __0.625

10 * r = 5

r = 5 / 10 = 0.5

r = 0.5

growth factor is 0.5

the complete terms include

10, 5, 2.5, 1.25, 0.625

d.__ ,__,36,-108,__

36 * r = -108

r = -108 / 36 = -3

r = -3

growth factor is -3

the complete terms include

6, -18, 36,-108, 324

e.__,12,18,27,__

12 * r = 18

r = 18 / 12 = 1.5

r = 1.5

growth factor is 1.5

the complete terms include

8, 12, 18, 27, 40.5

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If  Mr. Mady opens a savings account with principal P dollars that pays 2.11% interest compounded quarterly. His ending balance after one year algebraically is: A = P(1 + 0.0211/4)^4.

Given:

Rate= 2.11%

Now let express Mr Mady ending balance after one year algebraically by using this formula

A=P(1+r/n)^n

Where:

A = Future value

P=Principal

r= Rate

N=Number of period

Let plug in the formula

A = P(1 + 0.0411/4)^4

Therefore If  Mr. Mady opens a savings account with principal P dollars that pays 2.11% interest compounded quarterly. His ending balance after one year algebraically is: A = P(1 + 0.0211/4)^4.

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Answer:

Step-by-step explanation:

ANSWER:  

about 2.085

Answer:

2 550

Step-by-step explanation:

Total no. of people who already have a decision, as a % =  45%+38% = 83%

No. of people who haven't decided yet, as a % = 100% - 83% = 17%

No. of people who haven't decided = 15 000 x 17/100 = 2 550

ln e³ = 3, by definition and properties of logarithm.

Now,

As seen by the definition of logarithms, [tex]log_b(a)=x[/tex]

In case of natural logarithm, b = e, i.e., [tex]log_e(a)[/tex] = ln (a) = x

In the question, ln (e)³, a = e

By property of logarithms, [tex]log_b(a^m) = m(log_b(a))[/tex] ,

=> 3 (ln (e)) = 3 [tex]log_e(e)[/tex]

Since, [tex]log_e(e)[/tex] = 1, ln (e)³ = 3 (1) = 3.

Hence, ln e³ = 3, by definition and properties of logarithm.

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The coordinates of the sequence of transformations is R' (3, -4), S' (3, -1) and T' (1, -4)

The complete question is added as an attachment

The coordinates of the triangle are given as

R = (-4, 1)

S = (-4, 4)

T = (-2, 1)

The sequence of transformations is given as

The rules of the above sequence of transformations are

When the above transformations are combined, we have

(x, y) = (-x - 1, y - 5)

So, we have

R' = (4 - 1, 1 - 5) = (3, -4)

S' = (4 - 1, 4 - 5) = (3, -1)

T = (2 - 1, 1 - 5) = (1, -4)

Hence, the image of the sequence of transformations is R' (3, -4), S' (3, -1) and T' (1, -4)

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The solution to all parts is shown below.

Simply dividing the total number of values in a data set by the sum of all of the values yields it. The calculation can be performed on unprocessed data or data that has been combined into a frequency table.

1. The value of 5 in 2875 is 5.

2. The product is 360

3. Additive inverse is -1

4. Mode = 4

9. Range = 96 - 12 = 84

10. 1/60

12. -3.45 x -1000 = 3450

13. Number of edges of the cylinder is 2.

14. Faces = 6

16. 3365 x 164 – 2365 x 164

= 164( 3365 - 2365)

= 1640

17. (a) 168.96 /8 = 21.12

(b) 505 ÷ 100 = 50.5

18. 15625 = [tex]5^6[/tex]

19. Mean = 45/5= 9

21. 778,500,000,000 m = 7.7785 x [tex]10^{11[/tex] m

22. length of the garden = 25.3 / 4.4 = 5.75 m

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Values of x are 0, 6 + ✓48i/2 and 6 - ✓48i/2.

3 + [tex]{(4 - x)}^{3/2}[/tex]= 11

Subtracting 3 on both sides of the equation, we get

3 + [tex]{(4 - x)}^{3/2}[/tex]- 3 = 11  - 3

[tex]{(4 - x)}^{3/2}[/tex]  = 8

Squaring both the sides of the equation, we get

[tex] {(4 - x)^{3/2 \times 2} }[/tex] = 8²

(4 - x)³ = 64

Using the identity (a - b)³ = a³ + b³ + 3a²b - 3ab², we get

4³ + x³ + 3×4²x - 3×4×x² = 64

64 + x³ + 48x - 12x² = 64

x³ - 12x² + 48 = 0

Taking x common from the above equation, we get

x(x² - 12x + 48) = 0

x = 0 and x² - 12x + 48

Sovling the quadratic equation x² - 12x + 48, we get

x = -b+✓(b² - 4ac)/2a and  -b-✓(b² - 4ac)/2a

x =  -(-12)+✓((-12)² - 4(1)(48))/2(1) and -(-12)-✓((-12)² - 4(1)(48))/2(1)

x = 12+✓(144-192)/2 and 12-✓(144-192)/2

x = 12+✓-48/2 and  12-✓-48/2

x = 12+✓48i/2 and 12-✓48i/2

x = 6+✓48i/2 and 6-✓48i/2

Thus, the values of x are 0, 6+✓48i/2 and 6-✓48i/2

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The value of the expression (3.5^7/3.5^6)^2 is 12.25

The expression is given as

3.5 raised to the seventh power divided by 3.5 raised to the sixth power, all raised to the second power.

Rewrite properly as

(3.5^7/3.5^6)^2

Apply the law of indices

So, we have

(3.5^7/3.5^6)^2 = (3.5^7-6)^2

This gives

(3.5^7/3.5^6)^2 = (3.5)^2

Evaluate the exponent

(3.5^7/3.5^6)^2 = 12.25

Hence, the value of the expression (3.5^7/3.5^6)^2 is 12.25

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Answer:

x = - 4

Step-by-step explanation:

given a quadratic function in standard form

y = ax² + bx + c ( a ≠ 0 ) then the axis of symmetry is

x = - [tex]\frac{b}{2a}[/tex]

h(x) = 5x² + 40x + 64 ← is in standard form

with a = 5 , b = 40 , then axis of symmetry is

x = - [tex]\frac{40}{10}[/tex] = - 4

The required value up to the nearest hundredth of change of base of the log function is given by1.39.

What is a logarithmic function?

A function which is the inverse of the exponential function is called a logarithmic function. It is depicted by writing a log before any number, variable or function. Log functions are strictly increasing functions in nature.

Calculation of the value of  log₇15  

We know that log₇15 can be written as log15 / log7, using the properties of the logarithmic function, log

Now, log₇15 = 1.1761 / 0.845

= 1.392

Hence, the required value up to the nearest hundredth is given by 1.39.

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The value of x if the value of the perimeter of the figure is equal to the value of the area is 1.5

Area of rectangle = perimeter of rectangle

Length × width = 2(length + width)

6 × 2x = 2(6 + 2x)

12x = 12 + 4x

12x - 4x = 12

8x = 12

x = 12 / 8

x = 1.5

So,

Width of the rectangle = 2x in

= 2(1.5)

= 3 in

Therefore, the length and width of the given rectangle is 6 in and 3 in respectively

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