Mathematics question :)

Answer:

660 ft³

Step-by-step explanation:

The way I'm thinking of it, we can think of it as a triangle and then extruding out from that triangle for the length.

First, the triangle:

area = base * width / 2 = 12 * 10 / 2 = 60 ft²

volume = the triangle for the length

the length is 11 feet,

so we extrude that triangle for 11 feet to get

60 ft² * 11 ft = 660 ft³

we multiply 10 ft by 12 ft by 11 ft. there are 3 instances of ft, so the corresponding exponent is therefore ³.

another way to think of the extrusion is like a rectangular prism, the formula for a rectangular prism's volume is length * width * height. we're extruding from the bottom rectangle for the whole of the height, so we multiply the area of the bottom triangle (length * width) by height.

this might be confusing so let me know if you have any questions!

Answer:

(2, 7)

Step-by-step explanation:

(2, 7) are the coordinate which ordered pair is a solution to the following system of inequalities [tex]y \leq -x^2 + 8x \\[/tex] and [tex]y > x^2 - 3[/tex].

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

we want to find which ordered pair is a solution to the following system of inequalities.

[tex]y \leq -x^2 + 8x \\[/tex]

[tex]y > x^2 - 3[/tex]

The solution of a inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the inequality is the graph of all solutions of the system.

Graph one line at the time in the same coordinate plane and shade the half-plane that satisfies the inequality.

[tex]y \leq -x^2 + 8x \\\\y = -x^2 + 8x\\\\y > x^2 - 3\\\\[/tex]

x = 2 and y = 7

Learn more about inequality ;

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Answer: 6 inches

Step-by-step explanation: the area of a rectangle is width times length, that is [tex]A = w.l[/tex]

In this case we have:

So to get the Lenght l we need to divide  [tex]l = \frac{A}{w}[/tex]

[tex]l = \frac{72}{12}[/tex]

[tex]l = 6[/tex]

Answer:

Median

Step-by-step explanation:

In this data set, there's a huge outlier ($1,120,000) which would skew the results upwards. Using the mean to make an inference about the profits would better represent the whole data set since you'd get $150,000 which is more in line with the rest of the data point.

Answer:

B)   A = (-1, 0),  B = (1, 0)

Step-by-step explanation:

If the transformation of AB to A'B' is (x+4, y-3),

then the transformation of A'B to AB is the reverse: (x-4, y+3)

Given

A' = (3, -3)  →  A = (3-4, -3+3) = (-1, 0)

B' = (5, -3)  →  B = (5-4, -3+3) = (1, 0)

Therefore:

A = (-1, 0),  B = (1, 0)

Answer:

54=x

Step-by-step explanation:

2x+2=3x-52

this is because they are opposite alternating angles so now we can re arrange the equation.

54=x

Step-by-step explanation:

The both angles are vertically opposite angle so

[tex](2x + 2) = (3x - 52)[/tex]

By moving x on left side

[tex]2x - 3x = - 52 - 2[/tex]

So

[tex] - x = - 54[/tex]

Negative sign in both side are canceled so we got

[tex]x = 54[/tex]

Answer:

8 (none of the above)

Step-by-step explanation:

Given that,

→ x = 3

→ y = -2

Let's solve the equation,

→ 2x - y

→ 2(3) -(-2)

→ 6 + 2

→ 8 is the answer.

Answer:

8.3

Step-by-step explanation:

8 square = 6 square + x square

square them

64 = 36 + x square

minus 64 with 36

64 - 36 = 28

cancel the square with square root

x square = 28

square root of 28 is 5.3

5.3 x 5.3 = 28.09

hope this helped you!

The base is 5 units and the height is 9 units.

Base:

-4 to 1

=====

1 -(-4)

5 units

Height:

-1 to 8

=====

8 -(-1)

8 + 1

9 units

Answer:

-3(-2) - 6

6 - 6

= 0

Answer:

0

Step-by-step explanation:

-3a-6=-3×-2-6=6-6=0

Answer: 11

Step-by-step explanation:

x=1

x=2

x=3

Answer:
To find how much money Chase will get in a certain amount of years, set up the following equation:

(7440.93*0.0123)*x = y

Plug in x. "x" stands for how many years Chase keeps the money in his account while earning interest.

Keep "y" unknown, as that stands for what you are trying to solve for, which is how much interest money Chase will make.

Answer:

Yes, since log(2) and log(5) both exist as valid values for the logarithm.

didnt check if ur equation is correct though

Answer:

rea (A)  0.0682

Step-by-step explanation:

The sketch for the region enclosed by the given curves can be found in the image attached below.

From the image below;

The two curves intersect in the area of tan 9x = 2 sin 9x

Recall that:

making x the subject; then:

The subdivision of the domain is in two intervals

where;

Area (A) =

Area (A) = 0.06818

Area (A)  0.0682

Answer:

2

Step-by-step explanation:

Answer:

10 and 19

Step-by-step explanation:

The question is an illustration of ratio, each person will get 1.67 pounds of ground beef

The given parameters are:

Ground beef = 5 pounds

People = 3 i.e. Fred, Janice and Ralph

The amount gotten by each person is:

Share = 5 pounds/3

Evaluate the quotient

Share = 1.67 pounds

Hence, each person will get 1.67 pounds of ground beef

Read more about ratios at:

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Answer:

-56

Step-by-step explanation:

Formula to get determinant is::

[tex]\left[\begin{array}{ccc}a&b\\c&d\end{array}\right] = ad-bc[/tex]

0(0)-8(7)

0 - 56

-56

[tex]\\ \rm\Rrightarrow \left|\begin{array}{ccc}0 &8 \\ 7& 0\end{array}\right|[/tex]

[tex]\\ \rm\Rrightarrow 0-8(7)[/tex]

[tex]\\ \rm\Rrightarrow 0-56[/tex]

[tex]\\ \rm\Rrightarrow -56[/tex]

Domain: All possible x-values

Starting at the left side, the smallest value of the domain is -12. There is a break at x = -6, but there is still a closed circle, which means that there IS a value for -6. The same occurs at x = 6. The largest x-value of this graph is 10.

Therefore, the domain is -12 <= x <= 10

Hope this helps!

Answer:

x = 3/2 or x = -5/4

Step-by-step explanation:

Solve for x over the real numbers:

8 x^2 - 2 x - 15 = 0

Using the quadratic formula, solve for x.

x = (2 ± sqrt((-2)^2 - 4×8 (-15)))/(2×8) = (2 ± sqrt(4 + 480))/16 = (2 ± sqrt(484))/16:

x = (2 + sqrt(484))/16 or x = (2 - sqrt(484))/16

Simplify radicals.

sqrt(484) = sqrt(4×121) = sqrt(2^2×11^2) = 2×11 = 22:

x = (2 + 22)/16 or x = (2 - 22)/16

Evaluate (2 + 22)/16.

(2 + 22)/16 = 24/16 = 3/2:

x = 3/2 or x = (2 - 22)/16

Evaluate (2 - 22)/16.

(2 - 22)/16 = -20/16 = -5/4:

Answer: x = 3/2 or x = -5/4

Answer:

Read explanation

Step-by-step explanation:

1st city.  8.1-(-17) OR 8.1+17 which is 25.1 degrees

2nd city. 3.2+16.8 is 20

3rd city. 33.1-3.9 is 29.2

4th city. -6+29 is 23 degrees

Answer:

875 inches

Step-by-step explanation:

almost 73 feet!

Answer:

All Real Numbers

Step-by-step explanation:

This is a linear function, so the domain is All Real Numbers, or (-∞, ∞). In other words, the all numbers on the x-axis are defined on the graph. We have no points where x is undefined or imaginary. Domain contains all real numbers.

Answer:

[tex]\fbox{625 \: dollars }[/tex]

Step-by-step explanation:

Given:

from circular graph,

Savings by Oliver's = 25% of Total budget

Monthly budget = $ 2500

To find:

How much money does Oliver save?

Solution:

From diagram we came to know that,

Oliver's saving is 25% of total monthly budget.

Hence the money he saves each month will be 25% of $2500(Monthly budget)

To calculate the X percent of any given real number multiply the number with X and divide it by 100.

[tex] \sf \hookrightarrow \: 25  \% \: of \: 2500 \\ \sf \hookrightarrow 2500 \times \frac{25}{100} \\ \sf \hookrightarrow 2500 \times \cancel\frac{25}{100}_4 \\ \sf \hookrightarrow \: \frac{2500}{4} \\ \sf \hookrightarrow \cancel{\frac{2500}{4}} \: ^{625} \\ \sf \hookrightarrow \fbox{625 \: dollars }[/tex]

625$ does Oliver saves each month.

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[tex]~~~~y= \sec^{-1} (14x)\\\\\\\implies \dfrac{dy}{dx} = \dfrac{1}{14x \sqrt{(14x)^2 -1}} \cdot 14\\\\\\\implies \dfrac{dy}{dx}=\dfrac{1}{x\sqrt{196x^2 -1}}\\\\\\\text{At point,}~~ (x_1,y_1) = \left(\dfrac{\sqrt2}{14}, \dfrac{\pi}4} \right), \text{slope of the tangent line,}\\\\\\m = \dfrac{dy}{dx} = \dfrac{1}{\dfrac{\sqrt 2}{14} \sqrt{196 \left(\dfrac{\sqrt 2}{14} \right)^2-1}} \\\\\\~~~~~~~~~~~=\dfrac{14}{\sqrt 2 }\\\\\\~~~~~~~~~~~=\dfrac{7\sqrt 2 \sqrt 2}{\sqrt 2}\\\\\\[/tex]

             [tex]=7\sqrt 2\\\\\\\text{Equation of tangent line,}\\\\\\~~~~~y-y_1 = m(x -x_1)\\\\\\\implies y- \dfrac{\pi}4 = 7\sqrt 2 \left(x - \dfrac{\sqrt 2}{14} \right)\\ \\\\\implies y= 7x\sqrt 2 - 1+ \dfrac{\pi}4[/tex]

Answer:

1/32

Step-by-step explanation:

Basic theory: x ^ (-a) = 1 / x^ (+a)

2^(-5) = 1 / 2^(+5) = 1/ 32

Answer:

23x-y=13

Step-by-step explanation:

we need to find the derivative with respect to x

In(y) =In(10^x)

In(y)=xIn(10)

now we have to take the derivative with respect to x

Therefore, y'=yIn(10)

where y'=10^xIn(10), Chain rule!

note: First derivative function always give us the gradient value when x value is substituted in

Therefore, at x=1, our gradient will be m= 10^1In(10)

Gradient m=23.0 to the nearest tenth

Finding the equation of the line

y-y1=m(x-x1)

y-10=23(x-1)

y-10=23x-23

y-23x=-23+10

y - 23x = -13

so, the equation of the line tangent line is

23x - y =13

Answer:

addition !

Step-by-step explanation:

Answer: subtraction is the reverse operation of Addition

Step-by-step explanation: Hope this helps,