A rectangle has an area of 90 square centimeters and a height of 12.5 centimeters. What is the length of the base?

A.
7.2 centimeters

B.
72 centimeters

C.
112.5 centimeters

D.
1125 centimeters

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.

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

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:

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:

B.$216

Step-by-step explanation:

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]

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

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:

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 :)

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

Answer:

less than

Step-by-step explanation:

The number the question is referring to is any number that is less than or equal to 24, since one eighth of 24 or any number less than 24 would be less than or equal to 3.

The question is asking for a value which, when divided by 8 (or one eighth of it), results in a number that is less than or equal to 3. This implies a linear inequality. We can solve this by:

So the solution to this inequality is any number less than or equal to 24. In other words, the original number can be 24 or any number less than 24.

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Answer:

203.5 N

Step-by-step explanation:

Force = mass × acceleration

F = ma

F = (55 kg) (3.7 N/kg)

F = 203.5 N

The weight of the Kai on planet mars is 203.5 N.

Weight can be defined as the heaviness of a person. Also, weight is the product of the mass of the object and the acceleration due to gravity (or gravitational field strength).

[tex]\rm{ Weight = mass \times gravitational\ field\ strength[/tex]

[tex]\rm{Kai's\ weight\ on\ Mars = Kai's\ mass \times gravitational\ field\ strength\ on\ Mars[/tex]

                                 [tex]= 55 \times 3.7\\= 203.5\ N[/tex]

Hence, the weight of the Kai on planet mars is 203.5 N.

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The greatest common factor (GCF) of 150, 275, and 420 is 25. It is the highest number that can divide all three numbers without a remainder and is found by identifying the common prime factors among them.

The question is asking for the greatest common factor (GCF) of the numbers 150, 275, and 420. The GCF is the highest number that can divide all three numbers without leaving a remainder. To find the GCF, we can break down each number into its prime factors:

the common factors for 150, 275, and 420 are 5 × 5, since these are the only prime factors that appear in all three prime factorizations. Consequently, the GCF of 150, 275, and 420 is 5 × 5, which equals 25.

Answer:

its 6

Step-by-step explanation:

because

6.6.6= 216

Answer:

6 centimeter is the length of one edge of the boxStep-by-step explanation:

Given  : The volume of a box of earrings is 216 cubic centimeters.

To find : What is the length of one edge of the box.

Solution : We have given

Volume of a cubic box = 216 cubic centimeter .

Volume of cube = (side)³ .

(side)³  = 216 cubic centimeter .

On taking cube root both sides.

side = [tex]\sqrt[3]{216}[/tex].

Side =  [tex]\sqrt[3]{6*6*6}[/tex].

Side=  6 centimeter .

Therefore, 6 centimeter is the length of one edge of the box.

Answer:

6 percent

Step-by-step explanation:

if the 6 was in the tenths place (1 to the left) it would be 60%, however it is in the hundreds place therefore its value is 6%

Final answer:

To convert 0.06 to a percent, multiply it by 100 to get 6%.

Explanation:

To change 0.06 to a percent, you multiply it by 100. Doing this moves the decimal point two places to the right.

Here's the step-by-step calculation:

Start with the decimal: 0.06

Multiply by 100: 0.06 × 100 = 6

The result is: 6%

So, 0.06 as a percent is 6%.

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.

Your Answer Is C. 20%

Answer: 20%

Step-by-step explanation:

Answer:

$4,182.71

Step-by-step explanation:

$182.71 will be added in interest after 3 years.

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

Answer:

[tex]\large\boxed{[0.5;\ \infty)}[/tex]

Step-by-step explanation:

[tex]2(4x-3)\geq-3(3x)+5x\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(2)(4x)+(2)(-3)\geq-9x+5x\\\\8x-6\geq-4x\qquad\text{add 6 to both sides}\\\\8x\geq-4x+6\qquad\text{add}\ 4x\ \text{to both sides}\\\\12x\geq6\qquad\text{divide both sides by 12}\\\\x\geq\dfrac{6}{12}\\\\x\geq\dfrac{1}{2}\to x\in\left[\dfrac{1}{2};\ \infty\right)[/tex]

The question is about solving an inequality, but the actual inequality is not fully provided. General steps have been given to approach solving such problems, with a note that a specific solution requires the complete inequality. The student should provide the full inequality for a precise solution.

The student is asking for help with solving an inequality problem. Without a complete and clear inequality provided, we are unable to give a full step-by-step solution. However, I can provide a general approach to solving linear inequalities:

If the student provides the full inequality, using these steps will lead to the solution, where you would then graph the solution set on a number line and use either parenthesis or brackets to denote whether endpoints are included (for 'greater/less than or equal to') or excluded (for 'greater/less than').

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Answer: Find the lowest common denominator of the 2 denominators

Step-by-step explanation:

The common in both denominator is 15.

3: 3,6,9,12,15,18,21,24,27,30

5: 5,10,15,20,25.30,35,40,43,50

Since 5x3 is 15, 1/5 x 3/3= 3/15

Since 3x5 is 15, 2/3 x 5/5= 10/15

3/15 is equivalent to 1/5 and 10/15 is equivalent to 2/3.

3/15 + 10/15 is equal to 13/15

13/15 can't be simplified because they are both odd numbers and they have less than 2 factors.

Hope this helped! Have a nice day! :D  

Final answer:

To add 1/5 and 2/3, you must find the LCD, which is 15, convert the fractions to have the same denominators, then add them to get the sum of 13/15.

Explanation:

To add the unlike fractions 1/5 and 2/3, we first need to convert them to equivalent like fractions using their Least Common Denominator (LCD).

Prime factorize the denominators: 5 is already a prime number, and 3 is also a prime number.

To find the LCD, we take the product of the different prime factors, which is 5 × 3 = 15.

Convert each fraction by multiplying by an appropriate form of '1' to get the same denominator: 1/5 = (1×3)/(5×3) = 3/15 and 2/3 = (2×5)/(3×5) = 10/15.

With like denominators, we can now add the fractions: 3/15 + 10/15 = 13/15.

The final answer, 13/15, is already in its simplest form and cannot be reduced further.

Answer:

343.

Step-by-step explanation:

7(49)

= 7(40 + 9)

= 7*40 + 7*9

= 280 + 63

= 343.

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)

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:

twenty two point thirty five

Step-by-step explanation:

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:

f(a + 2)= (5 + a) / (a - 1) or f(a+2)= (a+5)/(a-1)

Step-by-step explanation:

f(x)=(3+x)/(x-3)

To evaluate f(a+2), simply replace the x with a+2

f(a+2) = (3 + a+2)/(a+2 - 3)= (a+5)/(a-1)

or

To answer items such as this, we directly substitute the a + 2 to the all the x's in the function:

f(a + 2) = (3 + a + 2) / (a + 2 - 3)

Simplifying the function generated above:

f(a + 2) = (5 + a) / (a - 1)

Step-by-step explanation:

f(x) = 3+x/x-3

Substituting x = a+2, we get

[tex]f(a + 2) = \frac{3 + (a + 2)}{(a + 2) - 3} \\ f(a + 2) = \frac{a + 5}{a - 1} [/tex]

which is the final answer.

Please mark Brainliest if this helps!

Answer:

Both of them are the mode

Step-by-step explanation:

Answer:

The number that appears the most

Step-by-step explanation:

No, you choose the number that appears the most.

(example) What is the mode of these numbers?

4,4,5,5,5,6,6

The mode would be 5 because it comes up the most

Answer:

2.07

Step-by-step explanation: