Find the surface area of the composite figure.

The matrix equation that could show the total books is \(\left[\begin{array}{cc}7&1\\2&6\end{array}\right] + \left[\begin{array}{cc}4&3\\6&1\end{array}\right] = \left[\begin{array}{cc}11&4\\8&7\end{array}\right]\)

The given parameters are the two-way tables attached to the question.

From the tables, we have the following matrices

\(June = \left[\begin{array}{cc}7&1\\2&6\end{array}\right]\)

\(July = \left[\begin{array}{cc}4&3\\6&1\end{array}\right]\)

The sum of these matrices is represented as:

June + July =  Total

So, we have:

\(\left[\begin{array}{cc}7&1\\2&6\end{array}\right] + \left[\begin{array}{cc}4&3\\6&1\end{array}\right]\)

Add the elements at corresponding positions

\(\left[\begin{array}{cc}11&4\\8&7\end{array}\right]\)

Hence, the matrix equation is \(\left[\begin{array}{cc}7&1\\2&6\end{array}\right] + \left[\begin{array}{cc}4&3\\6&1\end{array}\right] = \left[\begin{array}{cc}11&4\\8&7\end{array}\right]\)

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(11x+3)4

it will be 44x +12

Answer: 23

Step-by-step explanation:

Answer:

49 square units

Step-by-step explanation:

\( \frac{1}{2} (7)(3 + 11) = \frac{1}{2} (7)(14) = 49\)

Answer:

49

Step-by-step explanation:

The shape shown in the image is a trapezoid.

The formula for calculating the area of trapezoid is as following:

\( \frac{a + b}{2} \times h\)

\( \frac{3 + 11}{2} \times 7 = 49\)

The area is put in square units so the answer is 49 units²

Answer:

3 OR 8  hope this helps!

Step-by-step explanation:

Answer:

the equation of the line is y = -1/-30 - 3⅙ and the y intercept is -3⅙.

Step-by-step explanation:

Using, the formula y1+y2/x1-x2,

Choosing any two points, make the expression:

1-2/125-155

simplify:

-1/-30

the slope of the equation is -1/-30.

to find y intercept, using the function y=mx+b, plug in the slope and one of the two points that you used:

y would be 2

x would be 155

b is the y intercept

2= -1/-30•155 + b

2=5⅙+b

b = - 3⅙

the equation of the line is y = -1/-30 - 3⅙ and the y intercept is -3⅙.

Alex can create a summary showing the average minimum premium for each state by inserting a PivotTable based on the data in the Premiums table. He should follow the steps below to create the PivotTable: Step 1: Insert a PivotTable On the Ribbon, click any cell within the Premiums table and select Insert > PivotTable.

In the Create PivotTable dialog box, check that the Table/Range is set to "Premiums" and the "New Worksheet" option is selected. Then click OK. A new blank worksheet named "PivotTable1" will be created. Step 2: Set up the PivotTable On the right side of the worksheet, you will see the PivotTable Fields pane. Drag the following fields to the boxes below Values  State Minimum - Change the calculation to Average by right-clicking on the field in the Values box, selecting "Value Field Settings" and selecting "Average" from the list.

Number Format: Currency - To format the State Minimum field as currency, click on the field in the Values box, click on the drop-down arrow and select "Value Field Settings". Then click on the "Number Format" button, select "Currency" and set the Decimal places to 0. Drag the State field to the Rows box and drag it again to the Columns box to create a two-level row label. Step 3: Apply PivotTable Style On the Ribbon, select "Design" tab under the PivotTable Tools. In the "PivotTable Styles" group, select "Light Orange, Pivot Style Medium 13" style. Step 4: Rename and move the worksheet Right-click on the worksheet tab and select "Rename". Type "Premiums Pivot". To move the Premiums Pivot worksheet after the Premiums worksheet, click on the worksheet tab and drag it to the right of the Premiums worksheet.

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Answer:

The answer is C

Step-by-step explanation:

Edge 2022

2x+8 = 22

2x+8-8 = 22-8

2x = 14

2x/2 = 14/2

x=7

Hope this helps :)

Answer:

\(2x+8=22\)

\((2x+8)+(-8)=22+(-8)\)

\(2x+8-8=22-8\)

\(x=7\)

OAmalOHopeO

The angle between the vectors can be found using the dot product. The formula is θ= |A| =√(x12 + y12 + z12) The angle between the vectors -2i + 3j + k and i + 2j - 4k is approximately 137.8 degrees.

v1 • v2 = (-2i + 3j + k) • (i + 2j - 4k)

= -2 - 6 + 1 = -7

|v1| = \(\sqrt{((-2)^2 + 3^2 + 1^2)}\)

=\(\sqrt{(4 + 9 + 1)}\)

=\(\sqrt{14}\)

|v2| = \(\sqrt{((1)^2 + 2^2 + (-4)^2)}\)

= \(\sqrt{(1 + 4 + 16) }\)

= (\(\sqrt{21}\)

θ= |A| (-7/\(\sqrt{14}\)\(\sqrt{21}\))

=  |A| (-7/21*14)

=  |A|(-7/294)

= 137.8 degrees

The angle between two vectors can be found using the dot product formula. This formula isθ= |A| =√(x12 + y12 + z12). In the case of the vectors -2i + 3j + k and i + 2j - 4k, this formula can be used to find the angle between them. The dot product of the two vectors is -2 - 6 + 1 = -7. The magnitude of the first vector, |v1|, can be found using the Pythagorean theorem, which is

\(\sqrt{((-2)^2 + 3^2 + 1^2)}\)

= \(\sqrt{(4 + 9 + 1)}\)

= \(\sqrt{14}\).

The magnitude of the second vector, |v2|, can be found using the Pythagorean theorem, which is

\(\sqrt{((1)^2 + 2^2 + (-4)^2)}\)

= \(\sqrt{(1 + 4 + 16)}\)

= \(\sqrt{21}\)

Once the dot product and magnitudes are known, the angle between the two vectors can be found using the formula .Therefore, the angle between the two vectors is approximately 137.8 degrees.

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Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

if we take 34000(origin amount) to be the 100%, what is 6200 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 34000 & 100\\ 6200& x \end{array} \implies \cfrac{34000}{6200}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{ 170 }{ 31 } ~~=~~ \cfrac{ 100 }{ x }\implies 170x=3100\implies x=\cfrac{3100}{170}\implies x\approx 18.24\)

The inequality to determine the number of runs per inning, p Kim's team could have scored is; 4r + 6 > 17

Let r represent the number of runs per inning. Thus for 4 innings, we have 4r.

The team already has 6 runs. Now add the additional runs to this to get;

4r + 6

The team wants to score more than the other team, this means they need more than 17 and so the inequality required is;

4r + 6 > 17

Subtract 6 from each side to get;

4r + 6 - 6 > 17 - 6

4r > 11

Divide both sides by 4 to get:

r > 2.75

Approximating to a whole number gives;

r > 3

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Answer:

6+4p> 17
3

Step-by-step explanation:

Answer:

a=84.25cm

Step-by-step explanation:

Answer:

\(n=-24\)

Step-by-step explanation:

\(15+n=-9\)

Simplify both sides:

\(n+15=-9\)

Subtract 15 from both sides:

\(n+15-15=-9-15\\n=-24\)

n = -24 is your final answer!

Step-by-step explanation:

15+n=-9

n=-9-15

n=-24

=-24

Answer:

1. Slope=  

2.000

1.000

​  

=0.500

x−intercept=  

2

1

​  

=0.50000

y−intercept=  

−4

1

​  

=−0.25000

2. Slope=  

2.000

1.000

​  

=0.500

x−intercept=  

2

1

​  

=0.50000

y−intercept=  

−4

1

​  

=−0.25000

Hope this helps!

Hey there!

Hope this helps,

Please mark me brainliest

Answer:

Annika is 15 years old and Rohan is 7 years old.

Answer:

Angle C = 60°

Step-by-step explanation:

Since the total degree of a triangle is 180°, and to find x, will have to divide it 180° by 6 because there is a total of 6x in the triangle.

x = 180° ÷ 6 = 30°

Angle C = 2x = 60°

Answer:

A. The slope of a line parallel to m is positive.

Step-by-step explanation:

Answer:

18°

Step-by-step explanation:

Answer:

Stan needs about 50 of the 39 cm x 39 cm tiles

or about 155 of the 18 cm x 27 cm tiles

Step-by-step explanation:

Since we are asked to consider only matters of area, we need to calculate first, the area of the patio:

Patio area = 3 m x 2.5 m = 7.5 m^2

Now we consider what surface (in square meters - m^2) each type of tiles cover:

a) for the 39 cm x 39 cm tiles: 0.39 m x 0.39 m = 0.1521 m^2

b) for the 18 cm x 27 cm tiles: 0.18 m x 0.27 m = 0.0486 m^2

Therefore, to cover the area of the patio, the number of tiles type "a" needed is given by the quotient:

7.5 m^2 / 0.1521 m^2 = 49.3096  (about 50 tiles)

while for type "b" tiles the quotient gives:

7.5 m^2 / 0.0486 m^2 = 154.32  (about 155 tiles)

The output when the given pseudocode is executed with A = 5 and B = 3 will be "25, 16, 9, 4, 1".

The given pseudocode includes a loop that iterates as long as A is greater than or equal to B. In each iteration, the square of A is displayed, and A is decremented by 1. We are asked to determine the output when A is initially 5 and B is 3.

Step 1: Initialization

A is set to 5 and B is set to 3.

Step 2: Iteration 1

Since A (5) is greater than or equal to B (3), the loop executes.

The square of A (5²) is displayed, resulting in the output "25".

A is decremented by 1, so A becomes 4.

Step 3: Iteration 2

A (4) is still greater than or equal to B (3).

The square of A (4²) is displayed, resulting in the output "16".

A is decremented by 1, so A becomes 3.

Step 4: Iteration 3

A (3) is still greater than or equal to B (3).

The square of A (3²) is displayed, resulting in the output "9".

A is decremented by 1, so A becomes 2.

Step 5: Iteration 4

A (2) is still greater than or equal to B (3).

The square of A (2²) is displayed, resulting in the output "4".

A is decremented by 1, so A becomes 1.

Step 6: Iteration 5

A (1) is still greater than or equal to B (3).

The square of A (1²) is displayed, resulting in the output "1".

A is decremented by 1, so A becomes 0.

Step 7: Loop termination

Since A (0) is no longer greater than or equal to B (3), the loop terminates.

Therefore, The output generated by the code execution will be "25, 16, 9, 4, 1" as the squares of A (starting from 5 and decreasing by 1) are displayed in each iteration of the loop.

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Answer:

4.26

Step-by-step explanation:

13/50 = 26/100

26/100 = 0.26

4 + 0.26 = 4.26

Here's the formula written in LaTeX code:

The value of \(\(c\)\) that satisfies the given condition is -3. To find the values of \(\(c\)\)  such that the area of the region bounded by the parabola \(\(y = 4x^2 - c^2\) and \(y = c^2 - 4x^2\)\) is 36, we need to set up the integral to find the area between the two curves and then solve for \(c\).

The area between two curves can be found by integrating the difference between the upper and lower curves with respect to \(\(x\)\).

First, let's set the two equations equal to each other to find the \(\(x\)\)-values where the curves intersect:

\(\[4x^2 - c^2 = c^2 - 4x^2.\]\)

Simplifying this equation, we get:

\(\[8x^2 = 2c^2.\]\)

\(\[x^2 = \frac{c^2}{4}.\]\)

Taking the square root of both sides, we get:

\(\[x = \pm \frac{c}{2}.\]\)

Now, let's set up the integral to find the area:

\(\[\text{{Area}} = \int_{x_1}^{x_2} [f(x) - g(x)] dx,\]\)

where \(\(x_1\) and \(x_2\) are the \(x\)-values where the curves intersect, \(f(x)\) is the upper curve (\(4x^2 - c^2\)), and \(g(x)\) is the lower curve (\(c^2 - 4x^2\)).\)

Using the \(\(x\)\)-values we found earlier, the integral becomes:

\(\[\text{{Area}} = \int_{-\frac{c}{2}}^{\frac{c}{2}} [(4x^2 - c^2) - (c^2 - 4x^2)] dx.\]\)

Simplifying this expression, we get:

\(\[\text{{Area}} = \int_{-\frac{c}{2}}^{\frac{c}{2}} (8x^2 - 2c^2) dx.\]\)

Integrating, we get:

\(\[\text{{Area}} = \left[\frac{8}{3}x^3 - 2c^2x\right]\Bigg|_{-\frac{c}{2}}^{\frac{c}{2}}.\]\)

Evaluating this expression at the limits of integration, we get:

\(\[\text{{Area}} = \left[\frac{8}{3}\left(\frac{c}{2}\right)^3 - 2c^2 \left(\frac{c}{2}\right)\right] - \left[\frac{8}{3}\left(-\frac{c}{2}\right)^3 - 2c^2 \left(-\frac{c}{2}\right)\right].\]\)

Simplifying further, we get:

\(\[\text{{Area}} = \frac{2c^3}{3} - c^3 + \frac{2c^3}{3} - c^3.\]\)

\(\[\text{{Area}} = \frac{4c^3}{3} - 2c^3.\]\)

Now, we can set this expression equal to 36 and solve for \(\(c\)\) :

\(\[\frac{4c^3}{3} - 2c^3 = 36.\]\)

Multiplying through by 3 to clear the fraction, we get:

\(\[4c^3 - 6c^3 = 108.\]\)

Simplifying further, we get:

\(\[-2c^3 = 108.\]\)

Dividing by -2, we get:

\(\[c^3 = -54.\]\)

Taking the cube root of both sides, we get:

\(\[c = -3.\]\)

Therefore, the value of \(\(c\)\) that satisfies the given condition is -3.

In summary, the value of \(\(c\)\) such that the area of the region bounded by the parabolas \(\(y = 4x^2 - c^2\)\) and \(\(y = c^2 - 4x^2\)\) is 36 is \(\(c = -3\).\)

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Answer:

third one is a required answer.

x =2y

or

1/x=y

Answer:

Option 3, where x = 6, y = 3; x = 10, y = 5; x = 14, y = 7

Step-by-step explanation:

Step 1:  Define proportional relationship

According to Khan Academy, "proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other."

Step 2:  Find the proportional relationship

Looking at option 3, we see that x is always 2 times bigger than y.  This means as y increases, x is twice that amount.  So if y is 10, x would be 20 and so on.  Therefore, Option 3 is the correct answer.

Answer:  Option 3, where x = 6, y = 3; x = 10, y = 5; x = 14, y = 7

Vic would think that the amount of butter in Imani's cookies is appropriate since the ratio of flour to butter used in Imani's recipe is the same as the ratio used in Vic's favorite cookie recipe, which is 250:170 grams of flour to butter.

Specifically, in Vic's recipe, there are approximately 1.47 grams of flour for every gram of butter (250/170), while in Imani's cookies, there are approximately ratio 1.19 grams of flour for every gram of butter (750/630). This means that there is relatively more butter in Imani's cookies compared to Vic's recipe. Based on this difference, Vic might expect Imani's cookies to have a richer, denser texture and a stronger buttery flavor than his favorite recipe.

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If he uses 875 kwh per month, he will pay about $81

The correct answer is an option (d)

Current use plan:

6.5 cents/kwh for the first 600 kwh

12 cents/kwh for the next 600 kwh

If the rates go up 1 cent in each category, the new rates would be:

7.5 cents / kWh for the first 600 kWh

13.0 cents / kWh the next 600 kWh

Given that he he uses 875 kwh per month.

We need to find the amount he will pay.

For first 600 kwh he will pay 7.5 cents/ kWh.

Then remaining rates would be 875 kWh - 600 kWh = 275 kWh

so, the expression for the total cost would be,

(600 × 7.5) + (275) × 13.0

= 4500 + 3575

= 8075 cents

= $ 80.75,

≈  $ 81

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The answer to the expression -( 7 4x )= 9 is -7, since subtracting 7 from both sides of the equation leaves us with 4x = 2, and then dividing both sides of the equation by 4 gives us x = -7.

The expression -( 7 4x ) = 9 can be solved by using basic algebraic operations. First, we subtract 7 from both sides of the equation to obtain -4x = 2. This is because when subtracting a number from both sides of an equation, we are essentially adding the opposite of that number to both sides. Then, we divide both sides of the equation by 4 to obtain x = -7. This is because when dividing both sides of the equation by a number, we are essentially multiplying both sides by the inverse of that number. Therefore, the answer to the expression is -7.

-(7 4x ) = 9

-7 - 4x = 9

-4x = 2

x = -7

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Answer:

400 ft^3

Step-by-step explanation:

To find volume you simply do length x width x height

So, 10 x 8 x 5 which equals 400 ft; We make it have a power of 3 (cubed) because it is 3 dimentional object.

Hope this helps!