An auditorium has 72 rows of seats. The first row contains 70 seats. As you move to the rear of the auditorium, each row has 2 more seats than the previous row. How many seats are in the 24 th row

Answer:

y^2 = 8x

or

x = 1/8 y^2.

Step-by-step explanation:

The general form for this type of parabola is

y^2 = 4ax where the focus is at (a, 0) and the directrix  is x = -a

So the equation is y^2 = 4*2x

that is y^2 = 8x.

Answer:

The answer is A, 20%.

Step-by-step explanation:

If you find 30 out of 150, it is 20%. A simple way to do it is add 30 up until you get 150. So in this case it is 5 times. Then you do 100% divided by 5 which is 20%. Hope this helps!

Answer:

2x³ + 4x² cub. inches

3x³ + 36x² + 105x cub. inches

x³ + 32x² + 105x cub. inches

Step-by-step explanation:

Volume of the small box = x × 2x × (x + 2)

= 2x²(x + 2)

= 2x³ + 4x² cubic inches

Volume of the large box = (x + 5)(x + 7) × 3x

= (x² + 12x + 35) × 3x

= 3x³ + 36x² + 105x cubic inches

Difference between Volume of large box and small box = 3x³ + 36x² + 105x - (2x³ + 4x²)

3x³ + 36x² + 105x - 2x³ - 4x²

x³ + 32x² + 105x cubic inches

Answer:

Yes

Step-by-step explanation:

3003 woooow

Answer:

yes

Step-by-step explanation:

A is divisible by  B, if after dividing them, A ÷ B, the remainder is zero.

Answer

A, B, E.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

5.70

Step-by-step explanation:

[tex] a = \frac{1}{2} bh \\ \frac{ \sqrt{10} \sqrt{13} }{2} \\ \frac{ \sqrt{130} }{2} [/tex]

[tex]a = \frac{11.401}{2} \\ = 5.70[/tex]

Answer:

5.70

Step-by-step explanation:

mark me as brainliest

Answer:

t = 17.5 f = 12

Step-by-step explanation:

If MNOP is a square, you know that each angle is going to be 90°. To solve, let's first set each equation equal to 90°:

[tex]90 = 4t + 20[/tex]

and

[tex]90 = 7f + 6[/tex]

Then solve both equations:

[tex]90 = 4t + 20 \\ 70 = 4t \\ 17.5 = t[/tex]

and

[tex]90 = 7f + 6 \\ 84 = 7f \\ 12 = f[/tex]

I hope that helps!

Answer:

60% increase

Step-by-step explanation:

152 - 95 = -57

57 / 95 = 0.6

0.6 x 100 = 60

Check the picture below.

let's change the decimal values to fractions, say 0.1 to 1/10 and 0.6 to 6/10 = 3/5, so then

[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-\frac{1}{10}}x^2\stackrel{\stackrel{b}{\downarrow }}{+\frac{3}{5}}x\stackrel{\stackrel{c}{\downarrow }}{+8} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)[/tex]

[tex]\left(-\cfrac{~~ \frac{3}{5}~~}{2\frac{-1}{10}}~~,~~8-\cfrac{\left( \frac{3}{5} \right)^2}{4\left(-\frac{1}{10} \right)} \right)\implies \left(\cfrac{~~ \frac{3}{5}~~}{\frac{1}{5}}~~,~~8+\cfrac{\frac{9}{25}}{\frac{2}{5}} \right)[/tex]

[tex]\left( \cfrac{3}{5}\cdot \cfrac{5}{1}~~,~~8+\left[ \cfrac{9}{25}\cdot \cfrac{5}{2} \right] \right)\implies \left(3~~,~~8+\cfrac{9}{10} \right)\implies \stackrel{\stackrel{\textit{maximum height}}{\qquad \downarrow }}{\underset{\underset{\textit{horizontal distance}}{\uparrow \qquad \quad }}{\left( 3~~,~~8\frac{9}{10} \right)}}[/tex]

Answer:

f(x) = 8.917x³ + 2x² + 0.083x - 7

Step-by-step explanation:

f(x)= y

Let the coefficients of x³, x², x be a, b, c and the constant be d

y= ax³ + bx² + cx + d

When y = -65, x = -2

-65= a(-2)³ + b(-2)² + c(-2) + d

-65= -8a + 4b - 2c + d ...eq. 1

When y = -14, x = -1

-14= a(-1)³ + b(-1)² + c(-1) + d

-14= -a + b - c + d ...eq. 2

When y = -7, x = 0

-7= a(0)³ + b(0)² + c(0) + d

-7 = d ...eq.3

When y = 4, x = 1

4= a(1)³ + b(1)² + c(1) + d

4= a + b + c + d ...eq. 4

when y = 78, x = 2

78 = a(2)³ + b(2)² + c(2) + d

78= 8a + 4b + 2c + d ...eq. 5

From eq. 3, d is - 7

putting d as - 7 in equations 1, 2, 4 and 5

In eq. 1,

-65= -8a + 4b - 2c - 7

-58= -8a + 4b - 2c ...eq. 6

In eq. 2

-14= -a + b - c - 7

-7= -a + b - c ...eq. 7

In eq. 4,

4= a + b + c - 7

11= a + b + c ...eq. 8

In eq. 5

78= 8a + 4b + 2c - 7

85= 8a + 4b + 2c ...eq.9

Subtracting eq. 9 from eq. 6

-143 = -16a - 4c... eq 10

subtracting eq. 8 from eq 7

-18= -2a - 2c

9= a + c

a = 9 - c ...eq 11

putting a as 9 - c in eq. 10

-143 = -16(9 - c) - 4c

-143 = -144 + 16c - 4c

1= 12c

c = 1/12 or 0.083

putting c as 1/12 in eq. 11

a = 9 - 1/12

a = 107/12 or 8.917

Putting a as 107/12 and c as 1/12 in eq. 8

11= 107/12 + b + 1/12

multiplying through by 13

132 = 107 + 12b + 1

132 - 108 = 12b

24= 12b

b = 24/12

= 2

Therefore, a= 8.917, b= 2, c= 0.083 and d = -7

f(x) = 8.917x³ + 2x² + 0.083x - 7

Answer:400

Step-by-step explanation:

150 / 3 = 50 so 50 x 8= 400

Answer:

5(37)+10

10(17.5)+5

Step-by-step explanation:

5x+10=180

-10 -10

5x=170

divide by 5

x=37

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

10x+5=180

-5 -5

10x=175

divide by 10

x=17.5

Answer:

1.5

Step-by-step explanation:

4 x 2 = 8, so k x 2 = 3

3 / 2 = 1.5

Answer:

I think this is neither. As you can see the value of x reaches infinity and negative infinity, the value gets infinetly closer to 1.

Answer:

what's your question?  

Answer:

C

Step-by-step explanation:

20% x 950

Calculate 20% x 950 = 190

Match the options one by one and there

Answer:

Step-by-step explanation:

I got it correct on I-ready.

Hope this helps!!

Answer:

please I am tired texting and answering questions.

Answer:

81/7 (11.57, 11 4/7)

Step-by-step explanation:

Lets rewrite these mixed fractions

[tex]40\frac{1}{2}=\frac{81}{2}[/tex]

[tex]3\frac{1}{2} =\frac{7}{2}[/tex]

Here we can do divide these two numbers:

[tex]\frac{\frac{81}{2} }{\frac{7}{2} }=\frac{81}{7}[/tex]

The answer therefore is 81/7, or 11.571 (11 4/7)

Answer:

make me brainlist

Step-by-step explanation: firm sharing profits and losses in the ratio of 3

2. From Ist April, 2020 they decided to share the future profits equally. On this date, the General Reserve

showed a balance of 1,60,000; Revaluation of fixed assets resulted into a gain of "1,02,000 and stock resulted

to a loss of 22,000. On this date, the goodwill of the firm was valued at $3,60.000

Pas necessary journal entries for the above transactions on reconstitution of the form

Bolutions

The answer is 10, by using pemdas you can just either add, subtract, multiply or divide.

10

Hi! When you see problems like this, always refer to PEMDAS!

P - Parenthesis

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

Also note that you go from left to right and parenthesis is always first!

18(2-1)÷3+4

Start with the parenthesis and subtract 2 from 1. That'll leave you with 1.

18(1)÷3+4

Next is multiplication since there are no exponents. Multiply 18 by 1. That'll leave you with 18.

18÷3+4

Now, divide 18 from 3. That'll leave you with 6.

6+4

Finally, you may add the final two. 6 plus 4 is 10.

With that being said, the correct answer is 10.

Answer:

which question ?

Step-by-step explanation:

Answer:

i am going to but 11 bagels but i am going to buy them for a price under 5$

i am also going to buy 4 extra if we are still hungry

Step-by-step explanation:

i dunno you prob need a anwser with little thought like this becuase of auto grading systems hope this helps

Answer: 23,364

Step-by-step explanation:6 x 3000 + 6 x 800 + 6 x 90 + 6 x 4

Answer:

a = 6

Step-by-step explanation:

The opposite sides of a parallelogram are congruent , so

BA = CD , that is

7a - 3 = 3 + 6a ( subtract 6a from both sides )

a - 3 = 3 ( add 3 to both sides )

a = 6

Answer:D

Step-by-step explanation:

I took the test

Answer: 14 hours

Step-by-step explanation: First I found the unit rate of how much money per hour. So, 357 divided by 17 = 21. So know I know that she earns 21$ per hour. Then, I did 237 divided by 17 which would be 13 remainder 16. Since he only get paid if he works for a full hour, I think the answer would be 14.

[tex]\begin{array}{ccll} \$&hrs\\ \cline{1-2} 357&17\\ 237&x \end{array}\implies \cfrac{357}{237}=\cfrac{17}{x}\implies \implies \cfrac{119}{79}=\cfrac{17}{x}\implies 119x=1343 \\\\\\ x = \cfrac{1343}{119}\implies x = \cfrac{79}{7}\implies x = 11\frac{2}{7}\leftarrow \textit{11 hours, 17 minutes and 8 seconds}[/tex]

Answer:

13 1/3 cups of sugar

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

the domain is all the possible numbers that the x can be, so to find this from the graph you find the x-value of the leftmost point, which is -1 in this case, and the x-value of the rightmost point, which is 3. this means the range of values would be -1 <= x <= 3