Evaluate the following expression when x = 30 and y = 28.
12(x - y)3 + 19x - 37

A.
324,533
B.
605
C.
-21,059
D.
629

Answer:

C

Step-by-step explanation:

Answer:

its C

Step-by-step explanation:

Answer:

∠2 = 41°

Step-by-step explanation:

This is because, all three interior angles in a triangle will have a sum of 180 degrees.

So given that we have two angles, 90 degrees(right angle) and 49 degrees, we can replace angle 2 as our unknown value(a variable) and make it equal to 180 degrees then solve for x;

49 + 90 + x = 180

139 + x = 180

-139        -139

x = 41°, ∠2 = 41°

Answer:

p = 12 °

Step-by-step explanation:

p + ( p + 6 ) = p + 41

2p + p = 41 - 6

3p = 35

3p/3 = 35/3

p = 11.6

p = 12 °

Answer:

what situation

Step-by-step explanation:

Answer:

Alex's ride is $15.25

The equation to find this is

1.25m + 4 = cost

m = miles traveled

Answer:

Step-by-step explanation:

The correct statements about the given triangle are : All sides have different lengths, The third angle measures 40°, It is an acute triangle.

A polygon with three vertices, angles and sides is called a triangle.

Given is a triangle with angle measures of 60° and 80°,

We need to choose the correct statement from the given options,

Calculating the 3rd angle, let its measure be x,

60° + 80° + x = 180°

x = 40°

Since, all the angles are different therefore, the sides will also be different,

Also, all the angles are less than 90°, therefore, the triangle is an acute triangle,

Hence, the correct statements about the given triangle are : All sides have different lengths, The third angle measures 40°, It is an acute triangle.

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Answer:

2

Step-by-step explanation:

First, let's solve the inequality.

Step 1: Subtract 6 from both sides.

Step 2: Divide both sides by 5.

Now that we know x has to be less than 2.6, we can easily assume the largest integer value that satisfies the inequality is when x = 2

Problem 5

------------------

Work Shown:

a = 15

b = unknown

c = 25

a^2 + b^2 = c^2

15^2 + b^2 = 25^2

225 + b^2 = 625

b^2 = 625 - 225

b^2 = 400

b = sqrt(400)

b = 20

The rectangle is a = 15 by b = 20 to get an area of ab = 15*20 = 300 square inches.

=======================================================

Problem 6

Answer:

------------------

Work Shown:

Part A)

area = base*height/2

area = 8*12/2

area = 96/2

area = 48

Part B)

a^2 + b^2 = c^2

8^2 + b^2 = 12^2

64 + b^2 = 144

b^2 = 144 - 64

b^2 = 80

b = sqrt(80)

b = sqrt(16*5)

b = sqrt(16)*sqrt(5)

b = 4*sqrt(5)

Therefore,

area = base*height/2

area = a*b/2

area = 8*4*sqrt(5)/2

area = 16*sqrt(2)

=======================================================

Problem 7

------------------

Work Shown:

area = 81

area = x^2

x^2 = 81

x = sqrt(81)

x = 9

The side lengths of the square are 9 cm each.

P = perimeter

P = 4x

P = 4*9

P = 36

=======================================================

Problem 8

------------------

Work Shown:

The horizontal base of 10 is cut in half to get 5.

a = 5 = horizontal side

b = unknown height

c = 20 = hypotenuse

a^2 + b^2 = c^2

5^2 + b^2 = 20^2

25 + b^2 = 400

b^2 = 400 - 25

b^2 = 375

b = sqrt(375)

b = sqrt(25*15)

b = sqrt(25)*sqrt(15)

b = 5*sqrt(15)

area = base*height/2

area = a*b/2

area = 5*5*sqrt(15)/2

area = 12.5*sqrt(15)

Answer:

8

Step-by-step explanation:

24 divided by 3 = 8

The margin of error when the confidence level of 74% is 0.26. Then the correct option is B.

The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.

The mean of a normally distributed population from a sample.

The confidence level of 74%.

Then the margin of error is given as

Margin of error = 1 – α

Margin of error = 1 – 0.74

Margin of error = 0.26

The margin of error when the confidence level of 74% is 0.26. Then the correct option is B.

More about the margin of error link is given below.

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Answer:

0.26 or B

Step-by-step explanation:

Answer:

Step-by-step explanation:

First find the length of the two equal sides. Use Pythagoras.

c^2 = a^2 + b^2

c = ?

a = 7

b = 1/2 48 = 24

c^2 = 24^2 + 7^2

c^2 = 576 + 49

c^2 = 625                Take the square root of 625

√c^2 = √625

c = 25

Both of the equal sides = 25

Perimeter and answer = 25 + 25 + 48 = 98

Answer: 25 + 25 + 48 = 98

Step-by-step explanation:

Answer:

See below, please.

Step-by-step explanation:

[tex]45 \div ( \frac{3}{4} ) = 60[/tex]

Hence, the number is 60.

Answer:

60

Step-by-step explanation:

¾ of X is 45

what is X!???

Answer:

22.2 feet

Step-by-step explanation:

Treat the ladder, building, and the ground between the bottom of the ladder and the building as the legs of a right triangle.

Then, you can use the Pythagorean Theorem.

X^2 + Y^2 = Z^2

The ladder is the "diagonal" side, so it is the hypotenuse, Z.

It doesn't particularly matter whether the building is X or Y; the end result will be the same.

Therefore:

(23)^2 + Y^2 = (32)^2

Y^2 = (1024 - 529) = 495

Y = 22.249; rounded to the nearest tenth, 22.2 feet

I hope this helped! :)

The best ticket deal are illustrations of linear equations

The ticket system is a better deal to the max ticket

From the complete question, we have the following summary:

Charges = $22 per person

Surcharge = $10 per transaction

Charges = $20 per person

Surcharge = $16 per transaction

Assume there would be only one transaction, the linear equations that represent the ticket deals are:

Ticket System: y = 22x + 10

Max Ticket: y = 20x + 16

The costs of ticket for two people in both deals are:

Ticket System: y = 22*2 + 10 = 54

Max Ticket: y = 20*2 + 16 = 56

By comparison;

54 is less than 56

This means that the ticket system is a better deal to the max ticket

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Answer:

Step-by-step explanation:

Answer:

41%

Step-by-step explanation:

It is 41% because it says 0.41 people like math and converting decimals to percents it would be 41% because 0.41 is decimal form for 41%

But don't forget to add my vote for favorite subject is ma ma ama ma ma ma ma ma ma ma ma math.

Hope it helps have a great afternoon:)

Answer:

[tex]x + 1350 \geqslant 1800[/tex]

Step-by-step explanation:

[tex]x + 1350 \geqslant 1800 \\ \\ x = 450 \\ \\ 450 + 1350 \geqslant 1800 \\ \\ 1800 \geqslant 1800 \\ \\ x + 1350 \geqslant 1800 \: (ans)[/tex]

Answer:

The second option is correct.

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

42 + x = 2 (9 +x) (solve for x)

42 + x = 18 + 2x

42 -18 = 2x -x

24 = x

42 + 24 = 66

9 + 24 = 33

When the man turns 66, his son will be 33, or half his age.

Answer:

x>

.

x>\frac{53}{6}

Step-by-step explanation:

12x>140−34

2 Simplify 140-34140−34 to 106106.

12x>106

12x>106

3 Divide both sides by 1212.

x>\frac{106}{12}

Answer:

X= 7 units

Step-by-step explanation:

since the triangles are similar the ratio. of their common sides will be equal so,

BE/BD= BC/BA

(4X-8)/18= 45/22.5

4X -8 = 18×2

4X= 36-8

X= 28/4

X= 7

Function f(x), h(x), k(x) and t(x) will have real roots while function g(x) and p(x) will have imaginary roots.

Given quadratic functions are:

[tex]1) f(x)= x^{2} +6x+8\\2)g(x) = x^{2} +4x+8\\3)h(x) = x^{2} -12x+32\\4)k(x)=x^{2} +4x-1\\5)p(x)=5x^{2} +5x+4\\6)t(x) = x^{2} -2x-15[/tex]

The general form of a quadratic equation is:

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

On comparing [tex]x^{2} +6x+8 =0[/tex] with the general form,

a=1, b=6, c=8

If discriminant D=b²-4ac is greater than zero, the quadratic equation will have two distinct real roots, if D is less than zero, roots will be imaginary.

So, discriminant D for f(x)=0 will be:

[tex]b^{2} -4ac[/tex] = [tex]6^{2} -4*1*8 = 4[/tex] i.e. greater than zero.

So, the quadratic function [tex]f(x) = x^{2} +6x+8[/tex] will have two real distinct

roots.

Similarly, h(x), k(x), and t(x) will have real roots since their discriminants are greater than zero.

Thus, Function f(x), h(x), k(x) and t(x) will have real roots while function g(x) and p(x) will have imaginary roots.

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First, we make the denominators of 1/4 and 3/8 the same as the LCM (= 8)

-> 1/4 = 1 x 2 / 4 x 2 = 2/8
-> 1 - ... = 2/8 + 3/8 = 5/8

The missing fraction = 1 - 5/8 = 3/8.

Answer:

X=100 number of individuals who use public transportation

n =140 number of people surveyed

The estimated proportion is given by:

And that represent 71.4%

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Answer:

G is the true proportion in ∆ABC and ∆DEF

Answer:

G, 4/6 = x/7

Step-by-step explanation:

This is because the two pairs x/7 and 4/6, are corresponding to each other and are formatted in the right order.

Researchers use the visual cliff experiment to determine whether depth perception is innate or learned in infants

The visual cliff experiment is used to test depth perception in babies, by

using an apparent cliff.

The experiment can be used to verify if the perception of depth is an

innate capability or a learned response.

The completed statement is therefore;

Researchers use the visual cliff experiment to determine whether depth perception is innate or learned in infants.

The phrase that completes the statement is depth perception

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take a peek at your Unit Circle, let's notice that in Quadrant IV the cosine is positive and the sine is negative, or namely the adjacent side is positive and the opposite side is negative, so hmmm

[tex]cos(\theta )=\cfrac{\stackrel{adjacent}{4}}{\underset{hypotenuse}{41}}\qquad \impliedby \textit{let's find the \underline{opposite side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases}[/tex]

[tex]\pm\sqrt{41^2-4^2}=b\implies \pm\sqrt{1665}=b\implies \pm 3\sqrt{185}=b\implies \stackrel{IV~Quadrant}{-3\sqrt{185}=b} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill sin(\theta )=\cfrac{\stackrel{opposite}{-3\sqrt{185}}}{\underset{hypotenuse}{41}}~\hfill[/tex]

Answer:

Step-by-step explanation:

I am not sure how much to answer. I'll confine myself to the written question.

Equation

24 students 1 0iece  of pizza each = 25.65

 1 piece of pizza = x

Set up a proportion

24 students are given 24 pieces of pizza -- Cost 25.65

1 student 1 piece of pizza = x

Solution

24 / 1 = 25.65/x               Cross Multiply

24x = 1 * 25.65                Divide both sides by 24

24x/24 = 25.65/24

x  = 1.07 / slice.