what is the median of the data set?

Answer:

CD = 48

Step-by-step explanation:

Find the value of x using the two equations

9x - 15 = 7x - 1

9(7) - 15 = 7(7) - 1

63 - 15 = 49 - 1

48 = 48

Answer: x = 7

Then get the result of both equations

CD = 48

The length of CD is 48 units.

Isosceles triangles are those triangles which has the length of two sides or angles are equal to each other.

Given triangle ABC is an isosceles triangle since the length of sides AB and BC are given to be equal.

BD is the altitude of the triangle from the vertex B.

We know that, altitude of an isosceles triangle from the non equal angle bisect the opposite side, which is base.

So, AC is bisected at D.

AD = CD

9x - 15 = 7x - 1

Solving,

9x - 7x = -1 + 15

2x = 14

x = 7

Length of CD = 7x - 1 = 49 - 1 = 48

Hence 48 units is the length of CD.

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Multiply the starting height (60) by the height of each bounce (3/4) raised to the number of bounces (x)

H = (60)(3/4)^x

The answer to the given expression is:

H = 60(3/4)^x

A number is raised by another number which is called the power/exponent which implies that the number is multiplied by itself for that many number of times.

After every release, it bounces 3/4th of the previously released height.

After 1st bounce H = 60(3/4)

After 2nd bounce, it will be 3/4th of the previous H,

∴ H = 60(3/4)(3/4) = 60(3/4)^2

Similarly, after the 3rd bounce, it will be 3/4th of the previous H,

∴ H = 60(3/4)^2 * (3/4) = 60(3/4)^3

So it goes on like this. After x bounces,

H = 60(3/4)^x

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Answer:

Step-by-step explanation:

The word "opposite" is indicated by the - sign out front. Mathematically, we multiply a -1 into the parenthesis which, not coincidentally, changes the signs of everything inside the parenthesis, making them "opposite". The opposite of this polynomial is

- a - b - c

Answer:345678098321

Step-by-step explanation: I think so lol

Answer:

x+5x=180( adj.suppl.ls)

6x=180

6x÷6=180÷6

x=30

Answer:

Step-by-step explanation:

A term is a combination of letters and/or numbers separated by a + or a - sign. Our polynomial has 5 terms.

A coefficient is a number stuck to a letter...it HAS to be stuck to a letter to be a coefficient. Our coefficients are 1, -198, 5, and -2 (notice I let out the 4).

That's because a constant is a number NOT stuck to a letter. The 4, then, is the only constant in this polynomial.

The leading coefficient is the number that is stuck to the highest-degree variable. Our highest degree variable is a 12 in 5x^12. So the leading coefficient is 5. In order to have a polynomial in standard form, we always list the terms in order of descending powers (highest power to lowest).

The degree is also the same as the highest power in our polynomial. Ours is a 12th degree.

Answer:

Angle 1 - 148

Angle 2 - 32

Angle 3 - 73

Angle 4 - 148

Angle 5 - 105

Step-by-step explanation:

Angle 1 forms a line with angle 32 and equals 180, therefore Angel 1 = 180 - 32 = 148

Angle 2 has the same value as the opposing angle, 32

Angle 3 combined with 32 and 75 equals 180, therefore

Angle 3 = 180 - 32 - 75

Angle 3 = 73

Angle 4 is equal to angle 1

Angle 5 combined with 43 and Angle 2 (32) equals 180

Angle 5 = 180 - 43 - 32

Angle 5 = 105

x = 3

y = 8

(3, 8)

Hope this helps! :)

Answer:

its c

Step-by-step explanation:

If we solve for Y then answer is..

Y=b-4

If we solve for B then answer is..

b=Y+4

Answer:

6 meters

Step-by-step explanation:

Use the area formula, A = lw, where l is the length and w is the width.

Plug in 24 as the area and 4 as the width, then solve for the length (l):

A = lw

24 = l(4)

Divide each side by 4:

6 = l

So, the length of the rectangle is 6 meters

Answer:

6 m

Step-by-step explanation:

Area = width x length

Area= 24m²

Width= 4m

A= wl

24= 4 x l

[tex]\frac{24}{4}[/tex] = l

6m = l

Answer:

A/C

Step-by-step explanation:

Since the sum of the angles in a triangle equals 180°, and angle C is 90°.

That means angles A and B add up to 90°, that is, they are complementary angles. Therefore the cosine of B equals the sine of A.

We saw on the last page that sin A was the opposite side over the hypotenuse, that is, a/c. Hence, cos B equals a/c.

Your welcome! :)

Answer:

c)

Step-by-step explanation:

please don't trust ;-;

Answer:

4 th option

Step-by-step explanation:

Using synthetic division to find the quotient

- 2  |  1    - 4    + 5    - 2

         ↓   - 2     + 12   - 34

      ------------------------------

        1    - 6     + 17      - 36 ← remainder

The quotient is x² - 6x + 17

Then

[tex]\frac{x^3-4x^2+5x-2}{x+2}[/tex] = x² - 6x + 17 - [tex]\frac{36}{x+2}[/tex]

Answer:

[tex]b + 3 + \frac{4}{3b}[/tex]

Step-by-step explanation:

[tex]\frac{3b^2 + 9b + 4}{3b}[/tex]

=> 3b²/3b = b

=> 9b/3b = 3

=> 4/3b = 4/3b

Therefore the final answer would be;

[tex]b + 3 + \frac{4}{3b}[/tex]

Hope this helps!

Answer:

Step-by-step explanation:

Pattern P, the nth term formula:

Pattern Q, the nth term formula:

The difference is:

It shows the difference increase by 6 as the number of terms increase.

According the the difference of nth terms, the correct statement is:

21.7²=17²+13.5²

21.7²=289+182.25

21.7²=471.25

21.7=√471.25

21.7=21.7

22(to the nearest whole number)

Answer:  Yes, it is a right triangle

But only if you rounded everything to the nearest whole number.

Otherwise, it's a bit off (but fairly close).

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

Explanation:

If that was a right triangle, then a^2+b^2 = c^2 would be the case (pythagorean theorem). The a,b,c refers to the sides of the triangle. The 'c' is always the longest side, where 'a' and 'b' can be in any order you want.

We have

Which leads to

a^2+b^2 = c^2

(13.5)^2+(17)^2 = (21.7)^2

182.25 + 289 = 470.89

471.25 = 470.89

We don't get the same thing on both sides, so we don't have a right triangle.

However, your teacher mentions to round the results to the nearest whole number. The 471.25 on the left side becomes 471, while the 470.89 becomes 471.

So while the equation 471.25 = 470.89 is definitely false, both sides are close enough that they round to 471 = 471 which is true.

In other words, this isn't a right triangle but it's close enough to one. Based on this rounding criteria, Brian is correct.

Answer:

7y - 4x

Step-by-step explanation:

Given

- 3(2x - y) + 2y + 2(x + y) ← distribute parenthesis

= - 6x + 3y + 2y + 2x + 2y ← collect like terms

= 7y - 4x

Answer:

A=2πrh+2πr2

Step-by-step explanation:youre welcome

Step-by-step explanation:

πr^2+2πrh

(r= radius, h= height)

Answer:

B. 3 x 3 x 3 x 3 = 81

Step-by-step explanation:

exponential expression 3⁴

This means multiplying 3 four times

= 3 × 3 × 3 × 3

= 81

B. 3 x 3 x 3 x 3 = 81 is the answer

Similarly, if you have 5³

This means you'll multiply 5 three times

5³ = 5 × 5 × 5

= 125

And

3¹ =

3 one time

3¹ = 3

Answer:

One kids ticket is $4.80 and one adult ticket is $9.60

Step-by-step explanation:

Create a system of equations where k is the cost of a kids ticket and a is the cost of an adult ticket:

6k + 2a = 48

k = 1/2a

Solve by substitution by substituting the second equation into the first one:

6k + 2a = 48

6(1/2a) + 2a = 48

Simplify and solve for a:

3a + 2a = 48

5a = 48

a = 9.6

Find the cost of a kids ticket by dividing this by 2, since they are on sale for half the price of adult tickets.

9.6/2

= 4.8

One kids ticket is $4.80 and one adult ticket is $9.60

Answer:

[tex]y = 2.5x + 75[/tex]

Step-by-step explanation:

Answer:

√200 and 5, √125 and 10

Step-by-step explanation:

Let us first find the hieght of the triangle:

= 16² = p² + 8²

= 256 = p² + 64

= 256 - 64 = p²

= √192 = p

= 13.85 = p

Area of equilateral trianglular prism:

= ⅓× l² × h

= ⅓ × 16² × 13.85

= 256 × 13.85 × ⅓

= 1181.86 cm³

= 1182 cm³ (approx)

Answer:

25

Step-by-step explanation:

Lets say it's a 30 day month. Sally really likes oranges so she eats them a lot.

Answer:

(8x + 100) litres

Step-by-step explanation:

According to the question,

Therefore,

Number of water tanks = 8

Rainwater collected by each tank = x litres

∴ Rainwater collected by 8 tanks = 8x litres

But, 100 litres of water was already there in one of the tanks.

Answer:

steak, chicken, and hamburger are meats. 3 meats.

The French fries and mashed potatoes are potatoes. 2 Potatoes.

And Green beans and peas are green vegetables. 2 Vegetables.

I think we just do 3 x 2 x 2 = 12 Meals.

hope that helps bby<3

Answer:

The answer is "[tex]\frac{A}{(x-2)} + \frac{B}{(x+3)}[/tex]"

Step-by-step explanation:

Let the given value is: [tex]\frac{x-6}{x^2+x-6}[/tex]

[tex]\to \frac{x-6}{x^2+x-6}=\frac{x-6}{x^2+(3-2)x-6}\\\\[/tex]

                [tex]=\frac{x-6}{x^2+(3-2)x-6}\\\\ =\frac{x-6}{x^2+3x-2x-6}\\\\ =\frac{x-6}{x(x+3)-2(x+3)}\\\\ =\frac{x-6}{(x+3)(x-2)}\\\\=\frac{A}{(x-2)} + \frac{B}{(x+3)}[/tex]

Answer:

[tex]\displaystyle y-5=-\frac{10}{9}(x+6)[/tex]

Or:

[tex]\displaystyle y+5=-\frac{10}{9}(x-3)[/tex]

Step-by-step explanation:

We want to write the equation of a line that passes through the points (-6, 5) and (3, -5) in point-slope form.

Point-slope form is given by:

[tex]y-y_1=m(x-x_1)[/tex]

Thus, first, we need to find the slope. We can use the slope formula:

[tex]\displaystyle m=\frac{\Delta y}{\Delta x}=\frac{(-5)-(5)}{(3)-(-6)}=\frac{-10}{9}=-\frac{10}{9}[/tex]

Next, we can use either of the two given points. I'll use (-6, 5). So, let (-6, 5) be (x₁, y₁). Substitute:

[tex]\displaystyle y-(5)=-\frac{10}{9}(x-(-6))[/tex]

Or, fully simplified:

[tex]\displaystyle y-5=\frac{-10}{9}(x+6)[/tex]

Using the other point, we will acquire:

[tex]\displaystyle y-(-5)=-\frac{10}{9}(x-(3))[/tex]

Or, simplified:

[tex]\displaystyle y+5=-\frac{10}{9}(x-3)[/tex]

Answer:

5/12

Step-by-step explanation:

Here, we want to select the probability that the selected student is a sophomore given that he is a boy

In this case;

P(B) = P(boy)

P(A) = P(sophomore)

What we know is that the probability for any section is simply the number of that section divided by the total number of students which is 12 + 18 = 30

From the table;

P(B) = 12/30

P(An B) = 5/30

So;

P(A|B) = 5/30 divided by 12/30

= 5/30 * 30/12 = 5/12