A warehouse is for rent downtown. The rate is $15 per square foot per month. Space measures 40 ft x 22 ft. How much will it cost to rent this warehouse for a year?

Answers

Answer 1

Answer:

[tex]\$158,400[/tex]

Step-by-step explanation:

step 1

Find the area of the warehouse

[tex]A=(40)(22)=880\ ft^{2}[/tex]

step 2

Remember that one year is equal to 12 months

step 3

Find the cost to rent the warehouse for a year

Multiply the area by $15 per square foot per month and then multiply by 12 months

so

[tex]880(15)(12)=\$158,400[/tex]

Answer 2

Answer:

158,400

Step-by-step explanation:


Related Questions

if a base of a parallelogram is 8 inches long and the altitude to the base is 10 inches what is the area of the parallelogram

Answers

Answer: [tex]80 in^2[/tex]

Step-by-step explanation:

The area of a parallelogram can be calculated with the following formula:

[tex]A=b*h[/tex]

Where "b" is the base and "h" is the height or altitude.

You know that the base of  this parallelogram  is 8 inches long and the altitude to the base is 10 inches, then:

[tex]b=8in\\h=10in[/tex]

You need to substutite these values into the formula.

Therefore, the area the parallelogram is:

[tex]A=(8in)(10in)\\\\A=80in^2[/tex]

A sphere has a surface area of 12 π square inches. What is it’s exact radius?

Answers

Answer:

sqrt(3)

Step-by-step explanation:

Surface area of a sphere = 4pi(r)^2

Solve for r

which statement is true

Answers

The second answer is the true statement
The Second One Is True

Do you think that there is a rule you could use to predict the number of times your heart would beat in 15 seconds after you did 100 jumping jacks? Explain your answer.

Answers

Answer:

Yes

Step-by-step explanation:

The more you jump, the higher your blood flow becomes, since your heart needs to pump more blood to the working areas. This really doesn't belong in math though.

Answer: yes

Step-by-step explanation: but i am not that sure how i can explain it, here look at the guys answer above. Also thank the guy above, not me.

How many solutions can be found for the equation 3x − 2 = 3x + 5?
a)zero
b)one
c)two
d)infinitely manyHow many solutions can be found for the equation 3x − 2 = 3x + 5?

Answers

Answer:

Zero

Step-by-step explanation:

there is no solution the sides are uneven. if you solve for it 3x and 3x cancels out each other leaving you with -2=5

Answer:

Zero

Step-by-step explanation:

Periodt

What is the value of "c" in the quadratic equation 3x2 + 5x + 7 = 0?

Answers

Answer:

Last option: 7

Step-by-step explanation:

The Standard form of a quadratic equation is the following:

[tex]ax^{2}+bx+c=0[/tex]

Where "a" is the quadratic coefficient (This coefficient cannot be 0), "b" is the linear coefficient, "c" is the constant and "x" is the variable.

In this case you have the quadratic equation [tex]3x^2 + 5x + 7 = 0[/tex] which is written is Standarf form. Then, you can identify that:

[tex]a=3\\b=5\\c=7[/tex]

Therefore the value of "c" is 7.

drag each tile to the table to multiply each row heading by each column heading

Answers

Answer:

drag each result in the corresponding box according to the results

Step-by-step explanation:

Hello

The product of two or more powers of equal  base "a" is equal to the power of base  "a" with   exponent equal to the sum of the respective exponents.

[tex]a^{m}*a^{n} =a^{n+m}[/tex]

Step 1

[tex]d*2d^{2}\\[/tex]

[tex]d*2d^{2}=(2*1)d^{(2+1)}\\d*2d^{2}=2d^{3} \\[/tex]

Step 2

[tex]-9*2d^{2}\\[/tex]

[tex]-9*2d^{2}=(-9*2)d^{(2+0)}\\-9*2d^{2}=-18d^{2} \\[/tex]

Step 3

[tex]d*11d\\[/tex]

[tex]d*11d=(1*11)d^{(1+1)}\\11*d^{2}=11d^{2} \\[/tex]

Step 4

[tex]-9 * 11d\\[/tex]

[tex]-9 * 11d = (-9*11)d^{1+0}=-99 d[/tex]

Step 5

[tex]d*-4=-4d[/tex]

Step 6

[tex]-9*-4 = ( -*- ) (9*4)= 36[/tex]

Step 7

Now, drag each result in the corresponding box .

Have a great day

Answer:

Your welcome :)

Step-by-step explanation:

the burj khalifa a building in dubai united arab emirates is about 828 meters tall

Answers

The Burj Khalifa, a building in Dubai, United Arab Emirates, is about 828 meters tall. Brody is making a scale model of this building, using the scale 500 meters : 1 meter.

Answer:

true

Step-by-step explanation:

Historians generally begin forming historical arguments in order to:

Answers

D.

This is because they want to make sure their possible answers are correct, reliable and accurate.

Answer:

D. offer possible answers to historical questions.

Step-by-step explanation:

An argument is a statement which a historian proposes. In order to back up the statement the historian provides proof. The argument is then read by other historians and the proof is analyzed. After the analysis if other historians come to the same conclusion which the statement points to then the argument is accepted.

So, this is the way to offer possible answers to historical questions.

1. What is the slope of the line?


2. What is the slope of the line?

Answers

Answer:

1/4

Step-by-step explanation:

Answer:

[tex]slope =\frac{1}{4}[/tex]

slope is undefined

Step-by-step explanation:

WE need to find the slope of two lines

to find out slope we use formula

[tex]slope =\frac{y_2-y_1}{x_2-x_1}[/tex]

To find slope we pick two points from the line

(-4,0) and (0,1) is (x1,y1) and (x2,y2)

[tex]slope =\frac{1-0}{0+4}=\frac{1}{4}[/tex]

[tex]slope =\frac{1}{4}[/tex]

To find slope we pick two points from the line

(1,0) and (1,1) is (x1,y1) and (x2,y2)

[tex]slope =\frac{1-0}{1-1}=\frac{1}{0}[/tex]

When denominator =0 then the slope is undefined

State the various transformations applied to the base function ƒ(x) = x^2 to obtain a graph of the function g(x) = −2[(x − 1)^2 + 3].

(A) A reflection about the x-axis, a vertical stretch by a factor of 2, a horizontal shift of 2 units to the right, and a vertical shift downward of 6 units.

(B) A reflection about the x-axis, a vertical stretch by a factor of 2, a horizontal shift of 1 unit to the right, and a vertical shift downward of 6 units.

(C) A reflection about the y-axis, a vertical stretch by a factor of 2, a horizontal shift of 1 unit to the right, and a vertical shift downward of 6 units.

(D) A reflection about the y-axis, a vertical stretch by a factor of 2, a horizontal shift of 2 units to the right, and a vertical shift downward of 6 units.

Answers

Answer: Option B

A reflection about the x-axis, a vertical stretch by a factor of 2, a horizontal shift of 1 unit to the right, and a vertical shift downward of 6 units.

Step-by-step explanation:

If the graph of the function [tex]g(x)=cf(h-h) +b[/tex]  represents the transformations made to the graph of [tex]y= f(x)[/tex]  then, by definition:

If  [tex]0 <c <1[/tex] then the graph is compressed vertically by a factor c.

If  [tex]|c| > 1[/tex] then the graph is stretched vertically by a factor c

If [tex]c <0[/tex]  then the graph is reflected on the x axis.

If [tex]b> 0[/tex] the graph moves vertically  upwards b units.

If [tex]b <0[/tex] the graph moves vertically down  b units

If [tex]h> 0[/tex] then the graph of f(x) moves horizontally h units to the left

If [tex]h <0[/tex] then the graph of f(x) moves horizontally h units to the right

In this problem we have the function [tex]g(x) = -2((x - 1)^2 + 3)[/tex] and our parent function is [tex]f(x) = x^2[/tex]

therefore it is true that [tex]c =-2<0[/tex]  and [tex]b =-6 <0[/tex] and [tex]h=-1<0[/tex]

Therefore the graph is reflected on the x axis, stretched vertically by a factor 2. The graph of f(x) moves horizontally 1 units to the right and shift downward of 6 units.

The answer is (B) A reflection about the x-axis, a vertical stretch by a factor of 2, a horizontal shift of 1 unit to the right, and a vertical shift downward of 6 units.

Final answer:

The correct transformations from f(x) = x² to g(x) = −2[(x − 1)² + 3] are a reflection about the x-axis, a vertical stretch by 2, a horizontal shift 1 unit to the right, and a vertical shift 3 units upwards, which is option (B) in the list provided.

Explanation:

The function g(x) = −2[(x − 1)² + 3] has undergone several transformations from the base function f(x) = x^2. These transformations include a reflection about the x-axis due to the negative sign in front of the equation, indicating that a flip has happened vertically. A vertical stretch by a factor of 2 is also evident from the coefficient 2 before the parenthesis.

The term (x - 1) inside the parenthesis indicates a horizontal shift of 1 unit to the right since we subtract from x to move the graph to the right. Lastly, the +3 at the end of the equation signifies a vertical shift of 3 units upwards, which is a change in the y-value of every point on the graph.

Therefore, the correct sequence of transformations to obtain g(x) from f(x) is: a reflection about the x-axis, a vertical stretch by a factor of 2, a horizontal shift of 1 unit to the right, and a vertical shift of 3 units upwards, which corresponds to option (B) provided by the student.

What is the value of x in the equation −x = 4 − 3x + 6?

5
10
−5
−10

Answers

−x = 4 − 3x + 6

Move the -3x to the other side and simplify 4+6.

2x= 10

Divide both sides by 2

x=5.

Answer: First option.

Step-by-step explanation:

Given the equation [tex]-x = 4- 3x + 6[/tex], you need to solve for the variable "x" to find its value.

Add the like terms on the right side of the equation:

 [tex]-x = 10-3x [/tex]

Now you need to subtract 10 from both sides of the equation:

 [tex]-x-10 = 10- 3x -10[/tex]

 [tex]-x-10 =- 3x[/tex]

 The next step is to add "x" to both sides of the equation:

  [tex]-x-10+x = - 3x +x[/tex]

   [tex]-10 = - 2x[/tex]

And finally, divide both side by -2:

[tex]\frac{-10}{-2}=\frac{-2x}{-2}\\\\x=5[/tex]

A company makes glass lawn ornaments with a radius of 9 inches. The glass to make the balls costs the company $0.03 per square inch. To the nearest cent, how much does the company pay for the glass to create one ornament?

Answers

Answer:

$7.63

Step-by-step explanation:

We are given:

r=9 icnhes

We have to find the area of the circular ornament first. The formula for area of circle is:

Area= πr^2

Putting the value of r

Area=3.14*(9)^2

=3.14*81

=254.34 Square inches

As the company pays $0.03 for 1 square inch, for 254.34 square inch the company will have to pay:

=254.34*0.03

=$7.6302

Rounding off to the nearest cent

The cost for one ornament = $7.63

Answer:

$30.52

Step-by-step explanation:

4 x 9^2 x 3.14 x 0.03 = around 30.52

Which set of side lengths forms a right triangle 2,3,13 4,6,10 9,12,18 15,36,39

Answers

Answer:

15,36,39

Step-by-step explanation:

primitive pythag: 5, 12, 13 *3

Answer:

The Answer is D

Step-by-step explanation:

Where does the graph of y = –3x – 18 intersect the x-axis?

Question 16 options:

a)

(6,0)


b)

(-6,0)


c)

(0,-6)


d)

(0,6)

Answers

Answer:

b) (-6, 0)

Step-by-step explanation:

The quickest method to use is to put "0" in for y, then figure out which term for x would make the equation authentic, or genuine.

A line has a slope of -4/5. Which ordered pairs could be points on a line that is perpendicular to this line? Select two options.


(–2, 0) and (2, 5)

(–4, 5) and (4, –5)

(–3, 4) and (2, 0)

(1, –1) and (6, –5)

(2, –1) and (10, 9)

Answers

[tex]\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{4}{5}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{5}{4}}\qquad \stackrel{negative~reciprocal}{+\cfrac{5}{4}\implies \cfrac{5}{4}}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf (\stackrel{x_1}{-2}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{5}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{5-0}{2-(-2)}\implies \cfrac{5}{2+2}\implies \cfrac{5}{4} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{9}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{9-(-1)}{10-2}\implies \cfrac{9+1}{8}\implies \cfrac{10}{8}\implies \cfrac{5}{4}[/tex]

Answer: Im pretty sure it answer options 1 and 5

Step-by-step explanation: 1) (-2,0) and (2,5)      5) (2,-1) and (10,9)

its on edg.

What is the approximate value of x in the equation below.

Answers

Answer: First Option

[tex]x= -3.396[/tex]

Step-by-step explanation:

We have the following expression

[tex]log_{\frac{3}{4}}25 = 3x -1[/tex]

To solve the equation add 1 to both sides of the equality

[tex]log_{\frac{3}{4}}25 +1= 3x -1+1[/tex]

[tex]log_{\frac{3}{4}}25 +1= 3x[/tex]

Divide between 3 to both sides of the equation

[tex]\frac{log_{\frac{3}{4}}25 +1}{3}= x[/tex]

[tex]x= \frac{-11.19 +1}{3}[/tex]

[tex]x= -3.396[/tex]

The answer is the first option

This photo 2 of This question read it and find out what is The difference in feet between The Minimum and Maximum heights of a car on The ferris wheel

Answers

Answer:

From the looks of things, it seems to be 140 ft, the maximum height being 150 ft and the minimum height being 10 ft. Find the difference, and that should be your answer :)

Answer:C 140

Step-by-step explanation:

2 Points
What is the vertex of the graph of the function below?
y = x2 + 10x + 24
O A. (-4,-1)
O B. (-5, -1)
O C. (-5,0)
O D. (4,0)
SUBMIT

Answers

[tex]\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{+10}x\stackrel{\stackrel{c}{\downarrow }}{+24} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left( -\cfrac{10}{2(1)}~~,~~24-\cfrac{10^2}{4(1)} \right)\implies (-5~,~24-25)\implies (-5~,~-1)[/tex]

Final answer:

The vertex of the quadratic function y = x² + 10x + 24 is located at point B. (-5, -1). This is found by using the formula -b/2a for the x-coordinate and substituting the x coordinate into the function for the y-coordinate.

Explanation:

The vertex of a quadratic function (a function in the form of y=ax²+bx+c) is the point that represents the minimum or maximum of the function graph. In this case, we are looking to find the vertex of the function y = x² + 10x + 24. The formula to find the x-coordinate of the vertex of a quadratic function is -b/2a. In this function, a = 1 and b = 10, giving us -10/(2*1) = -5 for the x-coordinate of vertex. We then substitute -5 into the function for x to determine the y-coordinate, resulting in y = (-5)² + 10*-5 + 24 = -1. Therefore, the vertex of the function is (-5,-1). So, the correct choice is B. (-5, -1).

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Please refer to
This kind of transformation can change the
the lengths of some or all of the sides
the area of the shape
both a and b

Answers

Answer:

Both a and b

Step-by-step explanation:

What is the factored form of x^12y^18+1?

Answers

Answer:

[tex](x^{4}y^{6}+1)(x^{8}y^{12}-x^{4}y^{6}+1)[/tex].

Step-by-step explanation:

We want to expand: [tex]x^{12}y^{18}+1[/tex].

We can rewrite this as the sum of two cubes.

[tex](x^{4})^3(y^{6})^3+1=(x^{4}y^{6})^3+1^3[/tex].

Recall and use the sum of cubes identity: [tex]a^3+b^3=(a+b)(a^2-ab+b^2)[/tex]

By comparing our newly rewritten expression to this identity, we have [tex]a=x^4y^6[/tex] and [tex]b=1[/tex].

We substitute into the identity to get:

[tex](x^{4}y^{6})^3+1^3=[x^{4}y^{6}+1][(x^{4}y^{6})^2-(x^{4}y^{6})(1)+1^2][/tex].

We now use this rule of exponents :[tex](a^m)^n=a^{mn}[/tex]  to get;

[tex](x^{4}y^{6}+1)(x^{8}y^{12}-x^{4}y^{6}+1)[/tex].

a scale drawing of a square has a side length of 2 cm. The drawing has a scale of 1cm : 8ft. Find the actual perimeter and area of the square

Answers

Answer: Area: 256 ft squared   Perimeter: 64 feet

Step-by-step explanation: If the scale is 1 cm to 8 ft then if you multiply 1 cm by 2 you get 2 cm. Then you multiply 8 by 2 to get 16 feet. Once you get 16 feet, you can do 16 times 16 to find the area and 16 times 4 to find the perimeter.

Which makes the statement true?

Answers

Answer:

3/11 + 5 5/8 > 5 6/8

Step-by-step explanation:

find the LCD's for both sides of the comparison. After this, add fractions from the same side of the comparison. Then, you must compare the two and check your answer. Have a nice day!

choose all of the perfect squares 196 256 390 484 564

Answers

Answer:

{196, 256, 484}

Step-by-step explanation:

14² = 196;

16² = 256;

19² = 361;   390 lies between 361 and 400, and is thus NOT a perfect square;

20² = 400;

22² = 484

564 lies between the two perfect squares 23² and 24², but is itself NOT a perfect square.

Thus, the perfect squares are {196, 256, 484}

Final answer:

The perfect squares out of the numbers 196, 256, 390, 484, 564 are 196, 256, and 484. A perfect square is a number that can be expressed as an integer multiplied by itself.

Explanation:

The perfect squares from the list you provided are: 196, 256, and 484. A perfect square is a number that can be expressed as the product of an integer with itself. For example, 256 is a perfect square because it can be expressed as 16 times 16, or 16^2. Similarly, 196 and 484 are perfect squares as they can be expressed as 14^2 and 22^2, respectively. On the other hand, numbers 390 and 564 are not perfect squares as they cannot be expressed as the product of an integer with itself.

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What is 726,034 rounded to the nearest ten thousand

Answers

Answer:730000

Step-by-step explanation:

Follow below steps;

To round the number 726,034 to the nearest ten thousand, we must look at the thousands digit, which is 2. Since 2 is less than 5, we do not round up, and thus, leave the ten thousands place as it is.

The number 726,034 rounded to the nearest ten thousand is 720,000. We can see that the thousand's digit is less than 5, so we round down. This process aligns with the rounding rule stating that if the number you are rounding is followed by 0, 1, 2, 3, or 4, you round the number down.

for f(x) equal 3x+1 and g(x) equal x-6 find (f - g) (x)

Answers

Answer:

2x + 7

Step-by-step explanation:

(f - g)(x) = f(x) - g(x)

f(x) - g(x) = 3x + 1 - (x - 6) = 3x + 1 - x + 6 = 2x + 7


Find the area of the shaded region of the trapezoid.

Answers

Answer:

36

Step-by-step explanation:

area of trapezium is (1/2)×(6+9)×8=60

area of triangle is (1/2)×6×8=24

area of shaded =60 - 24 =36

The area of the shaded region of the trapezoid is 36.

area of trapezium is (1/2)×(6+9)×8=60

area of triangle is (1/2)×6×8=24

area of shaded =60 - 24 =36

what is the slope of the line shown below (-3,1) (5,1)​

Answers

Answer:

A. 1/4

Step-by-step explanation:

The line is upwards so slope will be positive. (either A or C will be the answer)

Now to solve for slope to find out

Two coordinate points on graph (-3,-1) ad (5,1)

Slope = (y2 - y1)/(x2 - x1)

Slope = (1 + 1)/(5 + 3) = 2/8 = 1/4

Answer:

[tex]A.\frac{1}{4}[/tex]

Step-by-step explanation:

Hello, I think I can help you  with this

The slope is the inclination of the line with respect to the abscissa axis, if you know two points  it can be calculated using

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}\[/tex]

where

[tex]P1(x_{1},y_{1})\\P2(x_{2},y_{2})[/tex]

Step 1

put the values into the equation

Let

[tex]P1(-3,-1) \\P2(5,1)\\\\m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} } \\m=\frac{1-(-1)}{5-(-3) } \\m=\frac{1+1}{5+3} \\m=\frac{2}{8} \\m=\frac{1}{4}[/tex]

Have a great day

Which of the following best describes a ratio?
A. An expression that contains a radical sign
B. The cross product of two fractions
C. A comparison of two numbers
D. The inverse operation for multiplication

Answers

The best way to describe a ratio is option c, which is 'A comparison of two numbers'.

What is Ratio?

A ratio shows us the number of times a number contains another number. therefore, it helps us to compare two numbers.

Which of the following best describes a ratio?

As we have already discussed the ratio is the comparison of two numbers for a particular.

Hence, the best way to describe a ratio is option c, which is 'A comparison of two numbers'.

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What is the ordered pair of M after point M (5,6) is rotated 90 clockwise

Answers

(x,y) -> (y,-x)

(5,6) -> (6,-5)

Hope this helps!

Final answer:

The ordered pair of M after rotating 90 degrees clockwise is (-6,5).

Explanation:

When a point undergoes a 90-degree clockwise rotation around the origin, a distinct transformation occurs. Specifically, the x-coordinate of the original point becomes the negative value of its original y-coordinate, and the y-coordinate takes on the positive value of the original x-coordinate. This geometric operation is fundamental in transforming coordinates.

Taking point M(5,6) as an example, after the 90-degree clockwise rotation, the new coordinates manifest as (-6,5). This rotation plays a crucial role in various mathematical and geometric applications, contributing to the understanding of spatial transformations and coordinate systems.

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