Each pair of figures is similar. Find the missing side.

Answer:

8. [tex]15m^2-31m+10\\[/tex]

9. [tex]x^2y^2z^2+2xyz-3[/tex]

Step-by-step explanation:

[tex](a+b)(c+d)=ac+ad+bc+bd\\(3m-5)(5m-2)=3m*5m+3m(-2)-5*5m(-2)\\=3m*5m+3m(-2)-5*5m(-2)\\=15m^2-31m+10[/tex]

^#8^

[tex](xyz+3)(xyz-1)=xyzxyz+xyz(-1)+3xyz+3(-1)\\=xyzxyz+xyz(-1)+3xyz+3(-1)\\=x^2y^2z^2+2xyz-3[/tex]

^#9^

The quantity of heat absorbed by the water is 156,750 J.

The quantity of heat absorbed by the water is calculated as follows;

Q = mcΔθ

where;

Q = 500 x 4.18 x (100 - 25)

Q = 156,750 J

Thus, the quantity of heat absorbed by the water is 156,750 J.

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Answer:

3 students want to play kickball.

Step-by-step explanation:

15 divided by 1/5 is 3 because 3x5=15

Let's find slope:-

Slope:-

[tex]\\ \rm\Rrightarrow m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\\ \rm\Rrightarrow m=\dfrac{3-5}{4+9}[/tex]

[tex]\\ \rm\Rrightarrow m=\dfrac{-2}{13}[/tex]

Zalia paid all total for her day at the science museum is $41.43 including all taxes and tips and other expenses.

It is given that

Admission to the museum = $12.50 per person

Number of persons= 2

Sandwich charge = $5.95

Apple charge = $1.25

Drink charge = $1.69

Tax rate = 7.25%

Tip = 15%

The percentage is value per hundred

Total amount without tax and tip(a)= 12.50*2+5.95+1.25+1.69 = $33.89

Tax(b) = 7.25% of $33.89 = 7.25*33.89/1000= $2.457025

Tip(c) = 15% of $33.89 = 15*33.89/100 = $5.0835

Net amount = a+b+c = $41.43

Therefore, Zalia paid all total for her day at the science museum is $41.43

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Answer:

x=4.5, 36/9

step by step explanation: First we find what 4 wholes is (36) and than we see what we are multiplying x by (8) to solve for x we divide 8 by 36 you should get 4.5 now we plug the number into the eqation to see if we were correct.

Answer:The given function is .Minimum or maximum value:At the extremum (maximum or minimum) value, the function will have zero slope. So, differentiate the given function once and equate it to zero to get the extremum point.dy/dx=0Now, check whether the point x=0 is corresponding to the maximum value or minimum value by differentiating the function twice,As  for all value of x, so x=0 is the point corresponding to minima.Put x=0 in the given function to get the minimum value.Domain and range:The function defined for all the values of the independent variable, x.So, the domain is .The range of the function is the possible value of y.The minimum value, for x=0, is y=7.The maximum value, as .Hence the range of the function is .The value of x for which the function is increasing and decreasing:If the slope of the function is negative than the function is decreasing, soThen, from equation (i), the value of x for which dy/dx<0,18x<0Hence, the function is decreasing for  .While if the slope of the function is positive than the function is increasing, soThen, from equation (i), the value of x for which dy/dx<0,18x>0Hence, the function is increasing for 

Step-by-step explanation:hope this helps

[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{1})\qquad \qquad \stackrel{slope}{m}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{2}(x-\stackrel{x_1}{2})[/tex]

Using subtraction of normal variables, it is found that Riley is not correct, as the mean is of 8 - 8 = 0.

The mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

Researching this problem on the internet, it is found that, for both samples, the mean is of 8, hence:

8 - 8 = 0.

Thus, Riley is not correct.

More can be learned about the subtraction of normal variables at https://brainly.com/question/14397951

Answer:

C.

Step-by-step explanation:

Multiply both sides by 15, which gives you r≥-75

Since the graph has to go in the direction of numbers greater than -75, that would be -74, -73, -72, etc. So, it is C.

Answer:

13. 204.49 cm²
14. 15 cm²
15. 36 cm²

Step-by-step explanation:

Area of a square is:
A = a² where a is the side length

A = 14.3² cm

A = 204.49 cm²

Area of a triangle is:
[tex]A = \frac{hb}{2}[/tex] or [tex]A = \frac{1}{2}hb[/tex]  where h is the vertical height and b is the base length

A = (5×6)÷2

A = 30÷2

A = 15

Area of a rectangle is:
A = L×W where l is the length and w is the width

A = 8×4.5

A = 36

Answer:

Step-by-step explanation:

Let number of chocolate cakes = c

Number of lemon cakes = l

Total cakes = 27

c + l = 27 ---------------(I)

Total slices = 170

7c + 6l = 170  ---------------(II)

Multiply equation (i) by (-7) and then add. So, c will be eliminated and we can find the value of  l

(I) * (-7)        -7c - 7l = -189

(II)                7c + 6l = 170     {Now add}

                         - l    = -19

l = 19

Plugin l = 19 in equation (I)

c + 19 = 27

c = 27 - 19

c = 8

Number of chocolate cakes = 8

Number of lemon cakes = 19

Answer:

20 Miles

Step-by-step explanation:

13.50 - 1.50 = 12

12 / 0.60 = 20

20 Miles

Answer:

₹245 is the cost

Step-by-step explanation:

Given:

Cost of the fan = ₹1470

1/6th =  1470/1  × 1/6

(do not cross multiply and simplify)

=  ₹245

Answer:

Rs 1260

Step-by-step explanation:

let x be the cost price , then

x + [tex]\frac{1}{6}[/tex] x = 1470 , that is

[tex]\frac{7}{6}[/tex] x = 1470 ( multiply both sides by 6 to clear the fraction )

7x = 8820 ( divide both sides by 7 )

x = 1260

The cost price was Rs 1260

Answer:

They will have 7 full bags of apples.

Step-by-step explanation:

if you divide the 98 apples into groups of 14 you will have 7 groups (bags) of apples.

Answer:

Tom is incorrect

The cost of using the air pump has increased by 150%

Step-by-step explanation:

Tom is incorrect

percent change = [ (difference between initial and final value) ÷ initial value] × 100

⇒ [ (50 - 20) ÷ 20) × 100 = 150%

Therefore, the cost of using the air pump has increased by 150%

Answer:

13

Step-by-step explanation:

we are looking for 2/3 of 15

15/3=5

5+5=10

10=2/3 of a quarter

2/3+3

10+3=13

The lower bound of this interval is 51.08, and the upper bound is 58.92.

Given:

Mean = 44

Standard deviation = 9

n = 36

The formula for the confidence interval of the sample mean:

Confidence Interval = [tex]X \pm z * (\sigma / \sqrt n)[/tex]

For a 95% confidence level, the z-score is approximately 1.96.

Plugging in the values into the formula, we have:

Confidence Interval = 44 ± 1.96 * (9/ √36)

                                 = 44 ± 1.96 * (9/ 6)

                                 = 44 ± 1.96 * 1.5

                                 = 44 ± 2.94

Therefore, the symmetrical interval that includes 95% of the sample means is (46.94, 41.06).

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Step-by-step explanation:

8). 5 ft² into squared Inches:

=> since 1 ft² = 144 in²

=> 5x144

=> 720 in²

9). 16 000 cm² to m²:

=> since 1 m²= 10 000 cm²

=> 16 000 ÷ 10 000

=> 1.6 m²

10). 90 km/h to m/h

=> since 1000 m= 1 km

=> 90x1000

=> 90 000 m/h

11). 30 m/s to m/min

=> since 60 s= 1 min

=> 30÷60

=> 0.5 m/min

12). 15 rpm into rps

=> since 1 min= 60 s

=> 15x60

=> 900 rps

Answer:

840 cups

Step-by-step explanation:

600x 0.4 = 240 (40% of 600)

600+240 = 840

Answer:

the bakery used 840 cups of sugar this month

Step-by-step explanation:40% of 600 is 240

600+240 is 840 so your answer is 840

Answer:

Exponential growth is a mathematical development based on an exponential function that grows indefinitely. Exponential decay occurs in mathematical functions where the rate of change decreases and must thus reach a limit, which is the horizontal asymptote of an exponential function.

We will see that this circle is centered at the point (-5, -49) and has a radius of 1.

For a circle of radius R centered at the point (a, b), the equation is:

(x - a)^2 + (y - b)^2 = R^2

In this case, we have:

x^2 + y^2 + 10x + 14y + 73 = 0

We can rewrite this as:

(x^2 + 10x) + (y^2 + 14y) + 73 = 0

(x^2 + 2*5*x + 25) + (y^2 + 2*7*y + 49) - 25 - 49 + 73 = 0

(x + 5)^2 + (y + 49)^2 -74 + 73 = 0

(x + 5)^2 + (y + 49)^2 = 1

So we have a circle centered at the point (-5, -49) with a radius equal to 1.

If you want to learn more about circles, you can read:

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To find the area of a circle: [tex]\pi r^2[/tex]

To find the circumference of a circle: [tex]\pi *d[/tex] or [tex]2\pi r[/tex]

The image attached below has more equations for circles.

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!

Stay Brainy!

-[tex]Kallmekris[/tex]

Answer:

$35.56

Step-by-step explanation:

I think.....

;-;

The original price would be $38 before the sale and without the coupon.

Given that Mai offers a $5 off the regular price of one book bag coupon. The store first uses the discount, then deducts 30% off the lowered price.

The percentage is defined as a ratio expressed as a fraction of 100.

Let the original price would be x before the sale and without the coupon.

As per the given condition,

Since Mai pays $23.10 for the bookbag

⇒ (x -5) - 30% (x -5) = 23.10

⇒ (x -5) - 0.30(x -5) = 23.10

Apply the distributive property of multiplication,

⇒ x - 5 - 0.30x + 1.5 = 23.10

Rearrange the likewise terms and apply the arithmetic operation,

⇒ x - 0.30x = 23.10 + 5 - 1.5

⇒ 0.70x = 26.60

⇒ x = 29.60/0.70

⇒ x = 38

Therefore, the original price would be $38 before the sale and without the coupon.

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Hello! In order to solve the first problem, you need to know the properties of a rhombus.

Some basic rules that apply to the problem you should know are:

To be congruent, line segments must be equal in length. The same rule applies to angles, they must be of equal measure.

This being said,

1. HT is congruent to MA

2. ST is congruent to MS

3. AMH is congruent to ATH

4. If angle MHT is 80 degrees, than angle MAT is 80 degrees as they are vertical (opposite) angles. This means they are always congruent.

5. If line MH = 9, then due to congruency AT must equal 9.

A square is 360 degrees. Every line is equal, every angle is equal.

There are four right angles in a square. A right angle equals 90 degrees.

Since every line has the same length, they are all congruent.

1. True

There are no angles less or more than 90 degrees in a perfect square.

2. False

KD and IN are not perpendicular since they do not intercept. They are parallel.

3. False

Every angle in a perfect square is 90 degrees.

4. True

You can draw out lines to get a better perception of KN and ID. They are congruent due to properties of a square.

5. True

Answer:

86.05

Step-by-step explanation:

Its hard to explain but trust me and look at my ranking and see all the people Ive helped :)

Answer:

12x+2

Step-by-step explanation:

Multiplication

Answer:

Graph 7 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.

Answer:

Cut the prism into 2 parts like the picture below

Name the upper part A, and the lower part B

Calculate the volume of part A:

12 - 8 = 4 cm

4 * 5 * 6 = 120 [tex]cm^{3}[/tex]

Calculate the volume of part B:

15 * 8 * 6 = 720 [tex]cm^{3}[/tex]

Volume of the whole prism:

Volume of part A + volume of part B

120 + 720 = 840 [tex]cm^{3}[/tex]

Answer:840 cm squared

Step-by-step explanation: