In Exercises 13 - 18 , find the value of x so that the function has the given value. (See Example 3.)

Answer:

closed, or shaded, circle is used to represent the inequalities greater than or equal to (≥) or less than or equal to (≤) . The point is part of the solution. An open circle is used for greater than (>) or less than (<). The point is not part of the solution.

The combined area of a square and 4 semicircles with each semicircle's diameter equal to the side length (15 cm) of the square is approximately 578.42 cm², hence the closest approximation is 580 cm².

To find the closest approximation of the area of a figure that consists of a square and 4 semicircles, where the diameter of each semicircle is equal to the sides of the square (15 cm), we must first calculate the area of the square and then the combined area of the semicircles.

The area of the square (Area_square) is given by the formula:

The area of a full circle with a diameter of 15 cm is:

The total area of the 4 semicircles is:

Add the area of the square to the combined area of the 4 semicircles to obtain the total area:

Based on this calculation, the closest approximation from the options provided is 580 cm².

Answer: 3rd option

Step-by-step explanation: The answer would be the third option. Let's go through each one and explain why it's correct or incorrect. First of all, our function is y = x - 3 so we can plug numbers into our X and Y. If we follow the function y = x - 3, we have 8 = 10 - 3 which is incorrect for the first one so that can't be it. For the nest one, we have 13 = 10 - 3 which also does not make sense. For the third one, we have 7 = 10 - 3 which is correct. And the last one, we have 3 = 10 - 2 which is wrong. Therefore, the third option is the answer.

The "one and a half" is written as 1.5, and "half" is written as 0.5 when using decimal notation.

To write "one and a half" and "half" in numbers, you use the decimal representation. "One and a half" is equivalent to 1.5, and "half" is equivalent to 0.5.

In decimal form, numbers are represented with a whole number portion followed by a decimal point and a fractional portion. The whole number portion is "1" for "one," and the fractional portion is "0.5" for "half." When combined, you get "1.5," which represents "one and a half."

Similarly, for "half," the whole number portion is "0," and the fractional portion is "0.5." When combined, you get "0.5," which represents "half."

To summarize, "one and a half" is written as 1.5, and "half" is written as 0.5 when using decimal notation. These representations are commonly used in mathematics, measurements, and various other contexts for expressing quantities in numeric form.

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The question is:

How do you write one and a half, half in numbers?

The square root of 125 is 11.18 and it lies between 11 and 12.

Square root of 125 falls between which two numbers to be determine.

Square root of number is the fractional power to the values.

Square root of 125
[tex]=\sqrt{125} \\=11.18[/tex]
Here, 11.18 lies between 11 and 12.

Thus, the square root of 125 is 11.18 and it lies between 11 and 12.

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Answer:

y ≤  11x + 17

Step-by-step explanation:

Slope - Intercept form looks like:

y = mx + b, where m is the slope of the line and b is the y-intercept

so, for

11x - y ≥ -17   ( Rearrange, move x-term to other side)

- y ≥ -17 - 11x

- y ≥ - (17 +  11x)     (multiply both sides by -1, remember to flip the inequality)

y ≤ 17 +  11x

y ≤  11x + 17  (answer)

Answer:

6

Step-by-step explanation:

24-{[16-(8-1)]×2}

24-{[16-( 7 )]×2}

24-{[ 16 - 7 ]×2}

24-{[  9  ]×2}

24-{ 9×2 }

24 - 18

6

22,647 inches to m iles will give you 0.35743371 of a mile (this is a repeated decimal since it goes on forever with different numbers.) Using a calculator, 22646.9998656 inches would give 0.35743371 miles (round the inches to the whole number and you will still get the same answer.) Into hundredths, you get 0.36, but changing to tenths would give 0.4.

Hope this helped!

Nate

If we convert 22,647 inches into miles, we can get 0.357433710227 miles.

The mile, sometimes known as the international mile or the statute mile to differentiate it from other miles, is a British imperial unit and a customary unit of distance in the United States; both are based on the older English unit of length equal to 1,760 yards.

Yards are a measurement that is 36 inches long (or wide) in US units.

We have to convert 22,647 inches into miles.

Since 36 inches = 1 yard,

1 inch = 1/36 yards

i.e. 22,647 inches = 22,647/36 yards = 629.08333 yards.

Since 1,760 yards = 1 mile,

1 yards = 1/1760 miles

i.e. 629.08333 yards = 629.08333/1760 miles = 0.357433710227 miles

Therefore if we convert 22,647 inches into miles, we can get 0.357433710227 miles.

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Answer:

B.$216

Step-by-step explanation:

Answer:

B. 2.25×10−^17

Step-by-step explanation:

Answer:

2.25×10−^17

I took the test so im 100% sure

Good luck

Answer:

the growth difference would be -3

Step-by-step explanation:

The final elevation of a fish starts at -9 meters and changes -11 meters is -20 meters.

Integers include all whole numbers and negative numbers. This means if we include negative numbers along with whole numbers, we form a set of integers.

Given that, a fish starts at -9 meters and changes -11 meters.

The fish starts at -9 meter than swims down another 11 meters which results in being -20 meters because it is below sea level.

Therefore, the final elevation of a fish starts at -9 meters and changes -11 meters is -20 meters.

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"Your question is incomplete, probably the complete question/missing part is:"

What’s the final elevation if a fish starts at -9 meters and changes -11 meters?

Simplification of [tex]\frac{\tan 9 x-\tan 5 x}{1+\tan 9 x \tan 5 x}[/tex]  is tan⁡ 4x

Solution:

By using sum-difference formula for tangent,  

Tangent of difference between two angles is written as,

[tex]\tan (x-y)=\frac{\tan x-\tan y}{1+\tan x \tan y}(\text { Equation } 1)[/tex]

By comparing the above equation 1 with [tex]\frac{\tan 9 x-\tan 5 x}{1+\tan 9 x \tan 5 x}[/tex]   ,  

we get x = 9x and y = 5x

By substituting  x =  9x and y = 5x in equation 1,

[tex]\begin{array}{l}{\tan (9 x-5 x)=\frac{\tan 9 x-\tan 5 x}{1+\tan 9 x \tan 5 x}} \\\\ {\tan (4 x)=\frac{\tan 9 x-\tan 5 x}{1+\tan 9 x \tan 5 x}} \\\\ {\text { Therefore, } \frac{\tan 9 x-\tan 5 x}{1+\tan 9 x \tan 5 x}=\tan 4 x}\end{array}[/tex]

Hence by using difference formula for tangent,  [tex]\frac{\tan 9 x-\tan 5 x}{1+\tan 9 x \tan 5 x}[/tex]  is simplified as tan⁡4x

Step-by-step explanation:

In algebraic expressions, we can omit the multiplication sign.

a. 3 · b = 3b

b. n · m = nm

c. 8 · s · t = 8st

d. 2 · q · r · s = 2qrs

Answer:

Option B. d = 5/3t

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

d -----> the distance in meters

t ----> the time in seconds

Looking at the graph we have the point (3,5)

That means ----> For t=3 sec, d=5 m

Find the value of k

[tex]k=d/t[/tex]

substitute the value of y and the value of x

[tex]k=5/3[/tex]

The linear equation is

[tex]d=kt[/tex]

substitute the value of k

[tex]d=\frac{5}{3}t[/tex]

3:80

This is because 80 people out of 83 were in favor of the law. This means that the last three people are against the law. Therefore, your answer is 3:80.

Answer: =41.5

Step-by-step explanation: since she vote for 80 and the total is 83

the ration will be half of her votes pie/2 - any number you want it to solve

pie/2 - 83=41.5

Answer:

D

Step-by-step explanation:

Since the constructed line is a perpendicular bisector of the line AB, then

AC = BC ← substitute values

4x + 12 = 2x + 18 ( subtract 2x from both sides )

2x + 12 = 18 ( subtract 12 from both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Hence

AB = 2AC = 2(4x + 12) ← substitute x = 3

AB = 2(12 + 12) = 2 × 24 = 48 → D

Answer:

$4,182.71

Step-by-step explanation:

$182.71 will be added in interest after 3 years.

Answer:

64

Step-by-step explanation:

The volume of a prism is defined by the product of its length (L) times its width (W) times its Height (H): [tex]Volume= L * W * H[/tex]

So, if these dimensions are increased each by a factor of 4, the volume now becomes:

[tex]Volume= 4L *4 W * 4 H = 64  L*W*H[/tex]

That is 64 times the original volume LWH

Answer:

64

Step-by-step explanation:

4l x 4w x 4h

the additional is 4 x 4 x 4 = 64

C = 2πr

Divide both sides by 2π.

C/2π = r

Done.

[tex]\text{Hey there!}\\\text{What number ten more than 985?}\\\\\text{In order for you to find the number that's 10 more than 985. you can}\\\text{add 10 plus  the number 985}\\\\\text{So, 985 + 10 = ? }\\\\\text{? = the mystery number}\\\\\text 10 + 985 = 995}\\\\\boxed{\boxed{\text{Answer: 995}}}\checkmark[/tex]

[tex]\text{We added because you put the word MORE in the sentence}\\\text{And more can mean GO UPWARD}[/tex]

[tex]\text{If you were to say less than you would have to subtract. Since,}\\\text{you are going downward }[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}\\\\\frak{LoveYourselfFirst:)}[/tex]

Answer:

44.5

Step-by-step explanation:

Multiplying 10 with 4.45 using mental math to find the total cost of 10 items. first multiply 0 with 445 which will yield 000, then multiply 1 with 445 which will yield 445 now put a cross beneath last 0 in 000 and write 445 before it and perform addition which will yield 4450 as the decimal was initially was before the second last digit in 4.45, place it accordingly in 4450 which will yield 44.5.

Answer:

21ax+4a−12

Step-by-step explanation:

Answer:

The faster pipe will take 16 hours to fill the pond alone

Step-by-step explanation:

* Lets explain how to solve the problem

- A sewage treatment plant has two inlet pipes to its settling pond

- One pipe can fill the pond 3 times as fast as the other pipe

∴ The rate of the faster pipe is 3 times the rate of the second pipe

- The rate and the time are inverse proportion because;

 time = job/rate and the job here is constant (fill pool), then

 time × rate = constant

∵ The rate of the faster pipe is 3 times the rate of the second pipe

∴ The time of the second pipe is 3 times the time of the faster pipe

- Assume that the time of the faster pipe is t

∵ The time of the faster pipe is t

∴ The time of the second pipe is 3t

- Together they can fill the pond in 12 hours

∴ [tex]\frac{1}{3t}+\frac{1}{t}=\frac{1}{12}[/tex]

- The L.C.M of 3t and t is 3t

∴ [tex]\frac{1}{3t}+\frac{3}{3t}=\frac{1}{12}[/tex]

∴ [tex]\frac{1+3}{3t}=\frac{1}{12}[/tex]

∴ [tex]\frac{4}{3t}=\frac{1}{12}[/tex]

- By using cross multiplication

∴ 48 = 3t

- Divide both sides by 3

∴ t = 16

∵ t represents the time of the faster pipe

∴ The time of the first pipe is 16  hours

* The faster pipe will take 16 hours to fill the pond alone

Final answer:

The faster pipe will take 6 hours to fill the sewage treatment pond by itself, calculated by setting up and solving a rate problem based on the information provided.

Explanation:

To determine how long it will take for the faster pipe to fill the sewage treatment pond alone, we can set up a rate problem where the pipes are filling the pond at their rates and a combined rate.

Let's define the rate of the slower pipe as 1/x ponds per hour (where x is the number of hours it takes the slower pipe alone to fill the pond). This means that the faster pipe works at a rate of 3/x (since it's three times as fast).

Combined, their rate is 1/12 ponds per hour (because together they fill the pond in 12 hours). Our equation will now look like this: 1/x + 3/x = 1/12.

Solving this equation, we find that x, the time it takes for the slower pipe to fill the pond alone, is 18 hours. Therefore, the faster pipe, being three times as fast, will take 18 hours divided by 3, which equals 6 hours to fill the pond alone.

Answer: Last option.

Step-by-step explanation:

By definition, a relation is a function if each input value (value of "x") has one and only one output value ( value of "y").

Based on this, let's check each relation:

1) {[tex](0, 3), (1, 2), (1, 4), (2, 1)[/tex]}

This is not a function, because the input value 1 has two different output values (2 and 4)

2) {[tex](-1, 3), (0, 2), (3, -1), (3, 2)[/tex]}

This is not a function, because the input value 3 has two different output values (-1 and 2)

3) {[tex](2, -4), (2, -2), (2, 1), (2, 3)[/tex]}

This is not a function, because the input value 2 has four different output values (-4, -2, 1 and 3)

4) {[tex](-4, -3), (0, -3), (1, -3), (4, -3)[/tex]}

This is a function, because each input value has one output value.

Answer:

2a+14

Step-by-step explanation:

2×a+2×7

2a+14

Answer:

[tex]\huge\boxed{\boxed{2a+14}}[/tex]

Step-by-step explanation:

Hello.

All we should do in order to simplify this expression is

multiply a+7 times 2.

Multiply a times 2 and 7 times 2:

2a+14

And we're done!

I hope it helps & have an outstanding day!

~ST2710 :)

I think th answer is $0.82.

Hope this helps

Answer:

$ 0.83 on one pound

Step-by-step explanation:

Given: Martha spent $2.90 on 3 1\2 pounds of bananas.

To Find: How much did she spend on each pound of bananas

Solution:

Amount spent by martha on bananas = [tex]\$[/tex] [tex]2.90[/tex]

Quantity of bananas bought                = [tex]3\frac{1}{2}[/tex] [tex]\text{pound}[/tex]

                                                              = [tex]\frac{7}{2}[/tex] [tex]\text{pound}[/tex]

Now,

Martha spent [tex]\$[/tex] [tex]2.90[/tex] on = [tex]\frac{7}{2}[/tex] [tex]\text{pound}[/tex] of bananas

therefore,

Amount spent by Martha on one pound of banana= [tex]\frac{\text{quantity of banana bought}}{\text{Amount spent on bananas}}[/tex]

                                                                        = [tex]\frac{2.90}{\frac{7}{2}}[/tex]

                                                                        = [tex]\frac{2.90\times2}{7}[/tex]

                                                                        = [tex]\$[/tex] [tex]0.83[/tex]

Hence amount spent by martha on one pound of banana is [tex]\$[/tex] [tex]0.83[/tex]

Answer:

A-(B ⋂ ⋂C)=(A-B) ⋃ ⋃(A-C) If A-B={xlx ∈ ∈A and x ∉ ∉B} A-C={xlx ∈ ∈A and x ∉ ∉C} then (A-B) ⋃ ⋃(A-C)={xlx ∈ ∈A, x ∉ ∉(B and C) Let X=A and Y=(B ⋂ ⋂C) X-Y={xlx ∈ ∈X and x ∉ ∉Y} x ∉ ∉Y x ∉ ∉(B ⋂ ⋂C) x ∉ ∉(B and C) Therefore, A-(B ⋂ ⋂C)=(A-B) ⋃ ⋃(A-C).

Step-by-step explanation:

Answer:

A - True

B - False

Step-by-step explanation:

Looking at option A,

Company B had 3.12 subscribers and earned 119. To find each subscriber's value we divide 119 by 3.12

119/3.12 = 38.14

Looking at Option B,

Company A had 2.45 subscribers and earned 108. To find each subscriber's value, we divide 108 by 2.45

108/2.45 = 44.08

Hence, for Option A, each subscriber paid about $40 is correct because it's close to 38.14

For Option B, each subscriber paid about 30 is incorrect since it's way over, 44.08.

Thus,

A - True

B - False