please help

determine all the unknown values of the figure below.

Answer:

That is the answer step by step in exponents hope that helped

The number of cookbooks = 3.

The number of travel books = 5

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

Cookbook.

Number = x

Cost = $1

Travel book.

Number = y

Cost = $8

Now,

We can make an equation.

Total cost = $43

So,

x + y = 8

x = 8 - y _____(1)

x + 8y = 43 _____(2)

Substituting (1) in (2).

8 - y + 8y = 43

8 + 7y = 43

7y = 43 - 8

7y = 35

y = 5

And,

x = 8 - y

x = 8 - 5

x = 3

Thus,

The number of cookbooks = 3.

The number of travel books = 5

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Answer:

Area= 5,146 yds     Perimeter= 290 yds

Step-by-step explanation:

If you are finding the area it's 5,146 yards. And if you are finding the perimeter, it's 290. Hope this helped

Answer:

x and y are both equal to 115

Step-by-step explanation:

Vertical angles are congruent (x ~= 115)

Corresponding angles are congruent (x ~= y)

The velocity experimented by the car is equal to - 1 feet per second.

Herein we have the graph of the position of the car (y), in feet, versus time (t), in seconds. The graph shows a linear equation, that is, the position is described by a polynomial of the form:

y = m · t + b

Then, the functions for the velocity and acceleration are shown below:

Velocity

dy / dt = m

The slope represents the velocity of the car.

Acceleration

d²y / dt² = 0

Then, the velocity of the car is found by means of the secant line formula:

dy / dt = (0 ft - 10 ft) / (10 s - 0 s)

dy / dt = - 1 ft / s

The velocity of the car is - 1 feet per second.

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The coordinates of the vertices for the image of the triangle U′V′W′ is

U′(1, 1), V′(−4, 0), W′(−1, 4)

To rotate a point 90 ° clockwise about the origin, we can apply the transformation (x, y) → (y, -x)

So applying this transformation to each vertex of triangle UVW we get

U(−1, 1) → U' = (1, 1)

V(0, −4) → V' = ( -4, 0)

W(−4, −1) → W' = (-1, 4)

Therefore the coordinates of the vertices for the image triangle U'V'W' are U′(1, 1), V′(−4, 0), W′(−1, 4)

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Answer:

i) 3/8

ii) -2

Step-by-step explanation:

i) 1/2*3/2/(1/2+3/2)

3/4/2

3/4*1/2

3/8.

ii) 1/2+3/2 / 1/3-3/2

2/-1

-2.

Hope this helps :)

Answer:

500(1/2)^t/2

Step-by-step explanation:

Use the exponential function f(x)=a(b)ct. The initial population, 500, gives the the point (0,500) and leads to coefficient of the exponential function, a=500.

f(t)=2000(b)ct

After 2 hours, the population has decreased by half. This means the common ratio is one-half, b=12. Because it takes 2 hours for the population to be cut in half, we know ct=1 when t=2, therefore c=1t and c=12. This gives the equation:

f(t)f(t)=500(12)12(t)=500(12)t2

Alternate Solution

The situation shows there are two points (0,500) and (2,250). Plugging the first point in, you solve for a=500 as follows:

500a=a(b)0=500

The decay coefficient, b, can be determined by substituting in the value for a and the point (2,250) and the solving as follows:

25025050012(12)12b=500(b)2=b2=b2=b≈0.7071

This gives the final exponential equation:

f(t)=500(0.7071)t

When the exponential function that represents the size of the bacteria population after t hours is = \(500(1/2)\wedge t/2\)

When we Use the exponential function f(x)=a(b)ct. Then, The initial population, 500, Also, gives the point (0,500) and then leads to the coefficient of the exponential function, a is =500.

Then, f(t)=2000(b)ct

After that, for 2 hours, the population decreased by half. Then, This means the common ratio is one-half, b=12. Because it takes 2 hours for the population to be cut in half, Now, we know ct=1 when t=2, therefore c=1t, and c=12. This gives the equation:

Then, f(t)f(t)=500(12)12(t)=500(12)t2

Now, an Alternate Resolution

When The situation shows there are two points (0,500) and (2,250). Plugging the first point in, you solve for a is =500 as follows:

After that, 500a=a(b)0=500

Then, The decay coefficient, b, can be determined by substituting the value for a and the point (2,250) and also the solving as follows:

Now, 25025050012(12)12b =500(b)2=b2=b2=b≈0.7071

So, This gives the final exponential equation:

Therefore, f(t) is =500(0.7071)t

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Answer:

see explanation

Step-by-step explanation:

(1)

4(m + 7) = 4 ( divide both sides by 4 )

m + 7 = 1 ( subtract 7 from both sides )

m = - 6

(2)

let the number be n , then

\(\frac{3}{5}\) n - 2 = 40 ( multiply through by 5 to clear the fraction )

3n - 10 = 200 ( add 10 to both sides )

3n = 210 ( divide both sides by 3 )

n = 70

The required number is 70

(3)

The 4 sides of a square are congruent , then

length of side = 36 cm ÷ 4 = 9 cm

Answer:

y = 3x - 5

Step-by-step explanation:

lmk if you want an explanation

Answer:

you all have to divide by 2

Step-by-step explanation:

602.88÷2= 301.44

A variable is a letter or term that represents an unknown number, value, or quantity. Variables are especially useful in algebraic expressions or algebra.

let a number be x

then "twice the sum of a number be 2x

given

"twice the sum of a number and 7 is negative fifteen"

⇒ 2x + 7 = -15

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Answer: 396

Step-by-step explanation:

Based on the information, the Stafford loan will have a lower balance by $527.14 at the time of repayment

Using the formula for compound interest, the total cost of the loan can be calculated as follows:

Total cost of Stafford loan = $11,650 x (1 + 0.0595/12)^(12*0.5) = $12,652.14

Total cost of PLUS loan = $12,436.41 x (1 + 0.0655/12)^12 = $13,179.28

Therefore, the Stafford loan will have a lower balance at the time of repayment by $527.14 ($13,179.28 - $12,652.14).

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The given statement is false. If a sample is selected using random sampling methods, the primary reason that the sample mean might be different from the corresponding population mean is not that the sample might be biased.

Because random sampling ensures that results obtained from the sample should approximate what would have been obtained if the entire population had been measured. And the simplest random sample allows all the units in the population to have an equal chance of being selected. In this case, the sample might not be biased.

Random sampling is a part of the sampling technique where each sample has an equal probability of being chosen. A sample chosen randomly is meant to be an unbiased representation of the total population.

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Answer: it is an exponential decay function

Step-by-step explanation:

Since 0.3 is less than 1 then increasing the value of the x will lead to the decrease of the value function y

The exponential function that can model the county population, y, x decades after Tiana was born, is:

\(y = 641000(0.99)^x\)

The population will fall below 600,000 in 6.6 decades after Tiana was born.

The definition of the exponential function is presented as follows:

\(y = a(b)^x\)

In which the parameters of the exponential function are presented as follows:

In the context of this problem, the values of these parameters are given as follows:

Hence the function is:

\(y = 641000(0.99)^x\)

The population will fall below 600,000 when y = 600000, hence:

\(y = 641000(0.99)^x\)

\(600000 = 641000(0.99)^x\)

\((0.99)^x = \frac{600000}{641000}\)

\(\log{(0.99)^x} = \log{\left(\frac{600000}{641000}\right)}\)

\(x\log{0.99} = \log{\left(\frac{600000}{641000}\right)}\)

\(x = \frac{\log{\left(\frac{600000}{641000}\right)}}{\log{0.99}}\)

x = 6.6 decades.

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The slope of the function 5x − 3y = −3 is 5/3 and the y-intercept of the function 5x − 3y = −3 is 1.

First, let us understand the slope intercept form;

The slope intercept form is simply a way of writing a line's equation so that the slope (steepness) and y-intercept (where the line crosses the vertical y-axis) are obvious.

We know that the slope intercept form of a line is y = mx + c where m is the slope of the line and b is the y-intercept of the line.

We are given;

5x − 3y = −3

- 3y = -5x - 3

3y = 5x + 3

y = 5/3 x + 1

Compare with y = mx + c, we will get;

m = 5/3

b = 1

So, the slope is 5/3 and the y-intercept is 1.

Thus, the slope of the function y = 2 + 34x is 5/3 and the y-intercept of the function y = 2 + 34x is 1.

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Answer:

the answer is

Step-by-step explanation:

So 12 more than N would be 12 + N.

Answer:

b) 12 + n

Step-by-step explanation:

The statement is,

→ 12 more than a number.

Now equation will be,

→ 12 + n

≈ (or) n + 12

So, option (b) is correct.

Answer:

16 yards

Step-by-step explanation:

Using the formula

A=hb/2

Solving forb

b=2A/hb=2·72

9=16yd

Answer:

For every dog and cat he washes he gets 24 dollars right so he would get 352 MKenya

Step-by-step explanation:

Answer:

4 L 600 mL

Step-by-step explanation:

1 L = 1000 mL

so 27 L 600 mL = 27000 + 600 = 27600 mL

27600/6 = 4600 mL

4 L 600 mL.

as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solving for "y", let's do so.

\(\stackrel{f(x)}{y}~~ = ~~x^3+9\hspace{5em}\stackrel{\textit{quick switcheroo}}{x~~ = ~~y^3+9} \\\\\\ x-9=y^3\implies \sqrt[3]{x-9}=y=f^{-1}(x)\)

The Reflexive Property is a property of equality that states that anything is equal to itself. This property is true for numbers, shapes, angles, and more.

In the context of geometry, the Reflexive Property of Congruence states that any geometric figure is congruent to itself. This includes angles, segments, triangles, and other polygons.

So, when you see "<J ≅ <J", it's saying that angle J is congruent to angle J, which is an application of the Reflexive Property. In other words, any angle is congruent (equal in measure) to itself.

Answer:

350

Step-by-step explanation:

1.333...percent

Hope it helps

Answer:

y=-6

Step-by-step explanation:

just look at the bottom and yahhhh

Answer:

11

Step-by-step explanation:

5l=15.25

1l=3.05

11l=33.55

Answer:

The maximum profit the florist will earn from selling celebration bouquets is $725.

The florist will break-even after one-dollar decreases when her profit is zero. From the graph, this occurs at x = 10. So the florist will break-even after 10 one-dollar decreases.

The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0, 10). This is because the profit is positive for values of x between 0 and 10, and becomes negative after 10.

Step-by-step explanation: