Order of operations, step by step
56-12 / 6+4

Answer:

23%

Step-by-step explanation:

1) Find the area of the container. (20*8*9.9)

2) Divide 359 by 1584 (the area) to find the percent

3) Round up the percent and you get 23%.

The table of values for the functions f(x) = x^2 + 1, g(x) = f(x - 5) and h(x) = f(x+3) is:

[tex]\left[\begin{array}{cccccc}x&f(x)&x&g(x)&x&h(x)\\-2&5&-2&50&-2&2\\-1&2&-1&37&-1&5&0&1&0&26&0&10&1&2&1&17&1&17&2&5&2&10&2&26\end{array}\right][/tex]

The equations of the functions are given as:

[tex]f(x) = x^2 + 1[/tex]

[tex]g(x) = f(x - 5)[/tex]

[tex]h(x) = f(x+3)[/tex]

For function f(x), we have:

f(-2) = (-2)^2 + 1 = 5

f(-1) = (-1)^2 + 1 = 2

f(0) = (0)^2 + 1 = 1

f(1) = (1)^2 + 1 = 2

f(2) = (2)^2 + 1 = 5

For function g(x), we have:

g(-2) = f(-2 - 5) = f(-7) =  (-7)^2 + 1 = 50

g(-1) = f(-1 - 5) = f(-6) =  (-6)^2 + 1 = 37

g(0) = f(0 - 5) = f(-5) =  (-5)^2 + 1 = 26

g(1) = f(1 - 5) = f(-4) =  (-4)^2 + 1 = 17

g(2) = f(2 - 5) = f(-3) =  (-3)^2 + 1 = 10

For function h(x), we have:

h(-2) = f(-2 + 3) = f(1) =  (1)^2 + 1 = 2

h(-1) = f(-1 + 3) = f(2) =  (2)^2 + 1 = 5

h(0) = f(0 + 3) = f(3) =  (3)^2 + 1 = 10

h(1) = f(1 + 3) = f(4) =  (4)^2 + 1 = 17

h(2) = f(2 + 3) = f(5) =  (5)^2 + 1 = 26

Substitute the above values in the blank table.

So, we have:

[tex]\left[\begin{array}{cccccc}x&f(x)&x&g(x)&x&h(x)\\-2&5&-2&50&-2&2\\-1&2&-1&37&-1&5&0&1&0&26&0&10&1&2&1&17&1&17&2&5&2&10&2&26\end{array}\right][/tex]

Read more about tables and functions at:

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[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

The shown pair of angles are Co interior angle pair, therefore the sum of those angles is 180°

[tex]\qquad \sf  \dashrightarrow \: 130 \degree + 7x + 1 \degree = 180 \degree[/tex]

[tex]\qquad \sf  \dashrightarrow \: 131 \degree + 7x = 180 \degree[/tex]

[tex]\qquad \sf  \dashrightarrow \: 7x= 180 \degree - 131 \degree[/tex]

[tex]\qquad \sf  \dashrightarrow \: 7x= 49 \degree [/tex]

[tex]\qquad \sf  \dashrightarrow \: x=49 \degree \div 7[/tex]

[tex]\qquad \sf  \dashrightarrow \: x=7 \degree [/tex]

The required value of x is 7°

If a ray stands on a line, then the sum of two adjacent angles so formed is 180 .

Hope it helps ~

Answer:

1. 18

2. 13.5

3. 3rd choice

4. 2nd choice

5. 18.6

6.3m + 8

7. 5x2 + y

i hope this work for you

Answer:

x=9.6

Step-by-step explanation:

First, we have to find a similarity statement including x with 3 other values. One that we can do is long leg/hypotenuse=long leg/hypotenuse. If we use the small triangle we can get x/12 (x being long leg, 12 being hypotenuse), and using the big triangle we can get 16/20 (16 being long, 12 being hypotenuse). So, if x/12=16/20, we can solve and get that x=9.6

Answer:

.333 pounds hope this helps

Answer:

1 and 2/8 yards of material used

Step-by-step explanation:

Answer:

Jace is correct they can use their loaves of bread to show 1/2 is less than 1/3. Because they have 2 loaves of bread

Answer:

76.201 is greater than 76.187

Answer:

the answer would be one pair

Answer:

Fraction: [tex]2\frac{1}{2}[/tex]

Decimal: 2.5

Step-by-step explanation:

Divide the total number of pizzas by the number of tables.

[tex]\frac{25}{10} = \frac{5}{2} = 2\frac{1}{2} = 2.5[/tex]

The answer is x=-4

I’ve attached my work explaining why below :)

x≤-4 is the inequality represents all the solutions of -2(3x + 6) = 4(x + 7)

Two or more expressions with an Equal sign is called as Equation.

The given equation is -2(3x + 6) = 4(x + 7

We need to find the inequality which represents the solutions of the equation.

Let us solve for x

-2(3x + 6) = 4(x + 7)

Apply distributive property

-6x-12=4x+28

Take the variable terms on one side.

-6x-4x=28+12

-10x=40

Divide both sides by 10

x=-4

Hence, x≤-4 is the inequality represents all the solutions of -2(3x + 6) = 4(x + 7)

To learn more on Equation:

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Answer:

D

Step-by-step explanation:

I hope this helps!

Answer:

B

Step-by-step explanation:

Imagine a mirror at the Y-axis, the two triangles will be mirror-image of each other.  So the CORRECT answer is B. Reflection over the Y axis

Answer: 12.7083333333

Step-by-step explanation: First you turn both numbers into a inproper fraction. Then you subtract and simplify.

The lengths of the three pencils form a right-triangle, and the two-step problem is:

The lengths of the pencils are given as:

6cm, 8cm and 10cm

Using the Pythagoras theorem, we have:

6^2 + 8^2 = 10^2

Evaluate the exponents

100 = 100

Hence, the lengths of the three pencils form a right-triangle

Read more about two-step problem at:

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The function f(x) = x^2 is a quadratic function

The graph is (D) decreasing the increasing​

The function is given as:

f(x) = x^2

From the graph of the function, we can see that the function values decreases then increases.

Hence, the statement that describes the graph is (D) decreasing the increasing​

Read more about functions at:

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Step-by-step explanation:

[tex] \frac{x + 3}{3} = \frac{y + 2}{2} [/tex]

[tex]2(x + 3) = 3(y + 2)[/tex]

[tex]2x + 6 = 3y + 6[/tex]

[tex]2x = 3y[/tex]

[tex] \frac{x}{3} = \frac{y}{2} [/tex]

Answer:

The sum of squares is the sum of the square of variation, where variation is defined as the spread between each individual value and the mean. To determine the sum of squares, the distance between each data point and the line of best fit is squared and then summed up. The line of best fit will minimize this value.

area of circle:

π * radius²

π * 2²

4π in²

area of rectangle:

length * width

20 * 4

80 in²

total area:

4π in² + 80 in²

93 in²

area of triangular prism:

( base length * perpendicular height * length ) ÷ 2

( 12.6 * 1.6 * 10.75 ) ÷ 2

216.72 ÷ 2

108.36 mm³

I think your question seems to be :-

Write the equation of the circle that has a center of (-7, 17) with a radius of √19

So , as we know that the equation of circle with centre at (h,k) and radius r is given by [tex]{\bf{(x-h)^{2}+(y-k)^{2}=r^{2}}}[/tex] . Now , using same concept in this question ;

[tex]{:\implies \quad \sf \{x-(-7)\}^{2}+(y-17)^{2}=(\sqrt{19})^{2}}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{(x+7)^{2}+(y-17)^{2}=19}}}[/tex]

This is the required equation of Circle

Answer:

B

Step-by-step explanation:

Because you will divide U in X the give you correct answer.

Answer:

2.371

Step-by-step explanation:

subtract 8.63 to 11.001

Answer:

$422.50

Step-by-step explanation:

Given the following question:

35% of 650

To find the answer we must first calculate 35% of 650 by using the formula to calculate percentages. Then we will subtract that answer from the original price of the bike, which will give us our answer.

[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{35\times650}{100}[/tex]
[tex]35\times650=22750[/tex]
[tex]22750\div100=227.5[/tex]
[tex]=227.50[/tex]

Now subtract from the original price:
[tex]650[/tex]
[tex]650-227.5=422.5[/tex]
[tex]=422.50[/tex]

The bike after a 35% markdown will cost "$422.50."

Hope this helps.

Answer:

D) I, III, and V

Step-by-step explanation:

Edge

We have the given indefinite integral ;

[tex]{:\implies \quad \displaystyle \sf \int \dfrac{x+1}{x(xe^{x}+2)}dx}[/tex]

We will use substitution hence to solving this integral

Now , put ;

[tex]{:\implies \quad \sf e^{x}=u}[/tex]

So that :

[tex]{:\implies \quad \sf dx=\dfrac{du}{u}\quad and\quad log(u)=x}[/tex]

Now , putting the values in the integral , it can be written as ;

[tex]{:\implies \quad \displaystyle \sf \int \dfrac{log(u)+1}{log(u)\{ulog(u)+2\}}\times \dfrac{du}{u}}[/tex]

Now , we will again use substitution method for making the integral easy. So put ;

[tex]{:\implies \quad \displaystyle \sf ulog(u)+2=v}[/tex]

So that ;

[tex]{:\implies \quad \displaystyle \sf du=\dfrac{dv}{log(u)+1}\quad and\quad ulog(u)=v-2}[/tex]

Now , we have ;

[tex]{:\implies \quad \displaystyle \sf \int \dfrac{\cancel{\{log(u)+1\}}}{log(u)v}\times \dfrac{dv}{\cancel{\{log(u)+1\}}u}}[/tex]

[tex]{:\implies \quad \displaystyle \sf \int \dfrac{dv}{v\{ulog(u)\}}}[/tex]

Now , putting the value of ulog(u) = v - 2

[tex]{:\implies \quad \displaystyle \sf \int \dfrac{dv}{v(v-2)}}[/tex]

Now , using partial fraction decomposition , ths given integral can be further written as ;

[tex]{:\implies \quad \displaystyle \sf \dfrac{1}{2}\int \left(\dfrac{1}{v-2}-\dfrac{1}{v}\right)dv}[/tex]

Now ,as integrals follow distributive property. So ;

[tex]{:\implies \quad \displaystyle \sf \dfrac{1}{2}\left(\int \dfrac{1}{v-2}dv-\int \dfrac{1}{v}dv\right)}[/tex]

[tex]{:\implies \quad \displaystyle \sf \dfrac{1}{2}(log|v-2|-log|v|)+C}[/tex]

[tex]{:\implies \quad \displaystyle \sf \dfrac{1}{2}log\bigg|\dfrac{v-2}{v}\bigg| +C}[/tex]

Putting value of v ;

[tex]{:\implies \quad \displaystyle \sf \dfrac{1}{2}log\bigg|\dfrac{ulog(u)+2-2}{ulog(u)+2}\bigg| +C}[/tex]

Now, putting value of u ;

[tex]{:\implies \quad \displaystyle \sf \dfrac{1}{2}log\bigg|\dfrac{e^{x}log(e^{x})}{e^{x}log(e^{x})+2}\bigg| +C}[/tex]

[tex]{:\implies \quad \displaystyle \sf \dfrac{1}{2}log\bigg|\dfrac{xe^{x}}{xe^{x}+2}\bigg| +C}[/tex]

[tex]{:\implies \quad \therefore \displaystyle \underline{\underline{\int \bf \dfrac{x+1}{x(xe^{x}+2)}dx=\dfrac{1}{2}log\bigg|\dfrac{xe^{x}}{xe^{x}+2}\bigg| +C}}}[/tex]

Answer: 144 square centimeters

Step-by-step explanation:

An area of a triangle is determined by this formula: Area = Length * Height/2. Since 12 x 24 = 288, divide 288 by 2 and you will have 144

Conclusion:

it's 144 square centimeters

[tex]\bold{\huge{\underline{ Solution \:1 }}}[/tex]

Here, we

By using basic proportionality theorem :-

That is,

[tex]\sf{\dfrac{ AT}{RT }}{\sf{=}}{\sf{\dfrac{BT}{ST}}}[/tex]

Subsitute the required values,

[tex]\sf{\dfrac{ 8 }{ 8 + 11 }}{\sf{=}}{\sf{\dfrac{7}{7 +10}}}[/tex]

[tex]\sf{\dfrac{ 8 }{ 19}}{\sf{=}}{\sf{\dfrac{7}{17}}}[/tex]

[tex]\sf{\dfrac{ 8 }{ 19}}{\sf{≠}}{\sf{\dfrac{7}{17}}}[/tex]

Hence, AB is not parallel to RS

Here, we have

By using basic proportionality theorem :-

That is,

[tex]\sf{\dfrac{ AT}{RT }}{\sf{=}}{\sf{\dfrac{BT}{ST}}}[/tex]

Subsitute the required values,

[tex]\sf{\dfrac{ 15 }{ 15 + 5 }}{\sf{=}}{\sf{\dfrac{12}{16}}}[/tex]

[tex]\sf{\dfrac{15 }{ 20}}{\sf{=}}{\sf{\dfrac{12}{16}}}[/tex]

[tex]\sf{\dfrac{ 3}{ 4}}{\sf{=}}{\sf{\dfrac{3}{4}}}[/tex]

Hence, AB is parallel to RS

[tex]\bold{\huge{\underline{ Solution\: 2}}}[/tex]

Here, we have

Part 3 :-

By using basic proportionality theorem,

That is,

[tex]\sf{\dfrac{ AD}{AB }}{\sf{=}}{\sf{\dfrac{AE}{AC}}}[/tex]

Subsitute the required values,

[tex]\sf{\dfrac{ 4}{12 }}{\sf{=}}{\sf{\dfrac{AE}{24}}}[/tex]

[tex]\sf{\dfrac{ 4}{12 }}{\sf{{\times} 24= AE}}[/tex]

[tex]\sf{ AE = 4 {\times} 2 }[/tex]

[tex]\sf{ AE = 8 }[/tex]

Hence, The length of AE is 8

Again , By using Basic proportionality theorem :-

That is

[tex]\sf{\dfrac{ AD}{AB }}{\sf{=}}{\sf{\dfrac{DE}{BC}}}[/tex]

Subsitute the required values,

[tex]\sf{\dfrac{ 4}{12 }}{\sf{=}}{\sf{\dfrac{6}{BC}}}[/tex]

[tex]\sf{\dfrac{ 1}{3 }}{\sf{=}}{\sf{\dfrac{6}{BC}}}[/tex]

[tex]\sf{ BC = 6 {\times} 3 }[/tex]

[tex]\sf{ BC = 18 }[/tex]

Hence, The length of BC is 18 .

Explanation:

Think of the vertical lines as train tracks (the metal rails).

Stuff between the rails are interior angles.

Angles 3 and 6 are one pair of alternate interior angles because they are on alternating sides of the transversal line. The other pair of alternate interior angles are angles 4 and 5.

Alternate interior angles are congruent when we have parallel lines like this.