Nikita's Work

Area of Base = B = 3 bn=(718) = 28 cm?

Volume=Bh= (28)(13) = 364 cm

Where, if any, did Nikita first make a mistake in her work?

Nikita used the wrong formula for the area of the base.

Nikita used the wrong measurements when finding the area of the base.

Nikita used the wrong formula for the volume of the prism.

Nikita did not make a mistake.

Answer:

y+1 = 2(x-6)

Step-by-step explanation:

We have a point (6,-1) and a slope m=2

The point slope form of a line is

y-y1 = m(x-x1)

y- -1 = 2(x-6)

y+1 = 2(x-6)

Answer: y - (-1) = 2(x-6) which is basically y + 1 = 2(x - 6)

Step-by-step explanation:

Disregard my explanation, its in the wrong form

Point-slope form is y = mx + b

They gave us m, 2. And they gave us the coords, (6, -1)

All you have to do is plug this info in to get:

[tex]-1=2(6)+b\\-1=12+b\\b=-13[/tex]

Answer:

B.

Step-by-step explanation:

B.

This answer does not prove anything.

Answer:

Average speed = 100 km/h

Step-by-step explanation:

Given:

Total distance covered = 250 km

Total time taken = 8:30 am - 6:00 am = 2:30 hours = 2.5

Find:

Average speed.

Computation:

⇒ Average speed = Total distance covered / Total time taken

⇒ Average speed = 250 / 2.5

⇒ Average speed = 100 km/h

Answer:

The 1st graph

Step-by-step explanation:

When you graph the equation in a graphing calc, you should be able to see that the graph most similar would be the 1st one.

Answer:

Your graph is supposed to be like this so your answer is C

Step-by-step explanation:

Hope this is correct

HAVE A GOOD DAY

Answer: The midpoint is (1,0)

Step-by-step explanation:

Point B  has the coordinates (-1,-1) and point A has the coordinates (3,1). To find the midpoint point,find the mean average of  the x and y coordinates.

x coordinates.  [tex]\frac{-1+3}{2}[/tex] =  [tex]\frac{2}{2}[/tex] = 1  

y coordinates .   [tex]\frac{-1+1}{2}[/tex] = [tex]\frac{0}{2}[/tex] = 0  

Midpoint: (1,0)

Answer:

68% of jazz CDs play between 45 and 59 minutes.

Step-by-step explanation:

The correct question is: The playing time X of jazz CDs has the normal distribution with mean 52 and standard deviation 7; N(52, 7).

According to the 68-95-99.7 rule, what percentage of jazz CDs play between 45 and 59 minutes?

Let X = playing time of jazz CDs

SO, X ~ Normal([tex]\mu=52, \sigma^{2} =7[/tex])

The z-score probability distribution for the normal distribution is given by;

                                    Z  =  [tex]\frac{X-\mu}{\sigma}[/tex]  ~ N(0,1)

Now, according to the 68-95-99.7 rule, it is stated that;

Here, we have to find the percentage of jazz CDs play between 45 and 59 minutes;

   For 45 minutes, z-score is =  [tex]\frac{45-52}{7}[/tex]  = -1

   For 59 minutes, z-score is =  [tex]\frac{59-52}{7}[/tex]  = 1

This means that our data values lie within 1 standard deviation points, so it is stated that 68% of jazz CDs play between 45 and 59 minutes.

Answer:

(-10, 3)

Step-by-step explanation:

You can do it algebraically (substitution or elimination) or graphically. I will be using substitution to solve this.

Step 1: Rewrite 2nd equation

2y = 6

y = 3

Step 2: Plug in y

7x + 8(3) = -46

7x + 24 = -46

7x = -70

x = -10

Put it in coordinates and we have our final answer!

Answer:

Y=15 when x=5

Step-by-step explanation:

if y= -6 when x= -2

So y=? When x=5

Y=15

Hope this helps

Good Luck

Answer:

you combine like terms by adding them up

Step-by-step explanation:

Answer:

108 pi inches cubed

Step-by-step explanation:

The volume of a cylinder is base area times volume. Since we have our base area of 12 pi, and our height of 9, we have the are as 12* 9 = 108 pi inches cubed. Thus, the answer is D.

Answer:

108

Step-by-step explanation:

Answer:52

Step-by-step explanation:

Use pemdas :D

10^2+4-18+2-7*5-1

100+4-18+2-(7)(5)-1

104-18+2-(7)(5)-1

86+2-(7)(5)-1

88-(7)(5)-1

88-35-1

53-1

52

THE ANSWER TO YOUR PROBLEM!

52

THE ANSWER TO THE ANSWER TO YOUR PROBLEM!

10^2=100

10^2+14=114

10^2+4-18=86

10^2+4-18+2=88

10^2+4-18+2-7=81

10^2+4-18+2-7*5=83

10^2+4-18+2-7*5-1=52!

Hope i helped!-Animefan28

Answer:

SOLUTION SET ={x/x<-4}

Step-by-step explanation:

x+7<3

in order to find the value of x

subtracting 7 on both sides

x+7-7<3-7

x<-4

I HOPE THIS WILL HELP YOU :)

Answer:

The answer is x < -4

Step-by-step explanation:

In order to solve the inequality, you have to subtract 7 to both sides, to make x the subject :

[tex]x + 7 < 3[/tex]

[tex]x + 7 - 7 < 3 - 7[/tex]

[tex]x < - 4[/tex]

Hi,

Sammy has $125.75 in her savings account. She deposits $25.50 into the account each month for the next 6 months.

How much is in Sammy's account at the end of the 6 months?

25.50 × 6 = $153

In 6 months she deposits $153 into the account.

So :

125.75 + 153 = $278.75

At the end of the 6 months Sammy has $278.75 in her savings account.

Step-by-step explanation:

Since 4x + 24 and 7x + 3 are vertical angles, that means they are congruent so we can write:

4x + 24 = 7x + 3

-3x = -21

x = 7°

Since 4x + 24 and z form a linear pair, they are supplementary (meaning they have a sum of 180°) so we can write:

4x + 24 + z = 180

4 * 7 + 24 + z = 180 (Substitute x = 7)

28 + 24 + z = 180

52 + z = 180

z = 128°

Answer: $150

Step-by-step explanation:

Hi, the question says:

Calculate the simple interest produced by $4500 at 5% simple annual interest in 8 months.

To answer this question we have to apply the simple interest formula:  

I = p x r x t  

Where:  

I = interest  

P = Principal Amount  

r = Interest Rate (decimal form)  

t = years  

Since 1 year = 12 months;  

For 8 months:

8/12 = 2/3 years  

Replacing with the values given  

I = 4500 x (5/100) x 2/3

I = $150

Feel free to ask for more if needed or if you did not understand something.  

Answer:

V = 3591.4 cm³

Step-by-step explanation:

Volume of Sphere = [tex]\frac{4}{3} \pi r^3[/tex]

Where r = 9.5 cm

V = [tex]\frac{4}{3} (3.14)(9.5)^3[/tex]

V = [tex]\frac{4}{3} (3.14)(857.4)[/tex]

V = [tex]\frac{10774}{3}[/tex]

V = 3591.4 cm³

Answer:

[tex]3591.4{cm}^{3} [/tex]

Step-by-step explanation:

[tex]v = \frac{4}{3} \pi {r}^{ 3} \\ = \frac{4}{3} \times \pi \times 9.5 \times 9.5 \times 9.5 \\ = 3591.4 \\ [/tex]

Answer:

A

Step-by-step explanation:

Basically when we have x in the denominator, we don't want the denominator to be 0 as the value of f(x) will then be undefined. Therefore the answer is A.

Step-by-step explanation:

First let us suppose the missing number x

I think we will cross multiply

5b2 = bx

5b2/b = bx

5b = x

Answer:

[tex]25[/tex] will go into the box.

Step-by-step explanation:

Square the denominator and the denominator to get the required expression.

[tex]\frac{5}{b}=\frac{5^2}{b^2}=\frac{25}{b^2}[/tex]

Best Regards!

Answer:

x = 19

Step-by-step explanation:

Since CD = DE then Δ CDE is isosceles and the base angles are congruent.

∠ DCE = ∠ DEC = 38° , thus

∠ CDE = 180° - (2 × 38)° = 180° - 76° = 104°

The consecutive angles of a parallelogram are supplementary, thus

∠ BAE + ∠ CDE = 180, that is

4x + 104 = 180 ( subtract 104 from both sides )

4x = 76 ( divide both sides by 4 )

x = 19

Answer:

Step-by-step explanation:

log8 62 = x1

8^x1= 62

8^2 =64 >62 so x1<2

log7 50=x2

7^x2=50

7^2=49<50 so x2>2

we have, x1<2  and 2<x2

x1<2<x2

x1<x2

log8 62<log7 50

Answer:

1/3

Step-by-step explanation:

f(√x+1)= 1/x

for f(2)

2= √x+1 ⇒ 4= x+1 ⇒ x= 3

f(2)= f(√3+1) and f(√3+1) = 1/3

so f(2)= 1/3

Answer:

D. 10(6y - 9 - 2x)

Step-by-step explanation:

We want to factor 60y - 90 - 20x.

We simply have to find the Highest Common Factor of the three numbers and factorize that out of the expression.

10 is common among all three:

10(6y - 9 - 2x)

We have factored it.

Answer:

c

d

Step-by-step explanation:

Answer:

They are equal angles.

Answer:

x = 1 ± √89

Step-by-step explanation:

Step 1: Expand

x² - 2x - 63 = 25

Step 2: Isolate xs

x² - 2x = 88

Step 3: Complete the square

x² - 2x + 1 = 88 + 1

(x - 1)² = 89

Step 3: Square root both sides

√(x - 1)² = ±√89

x - 1 = ±√89

Step 4: Isolate x

x = 1 ± √89

Answer:

[tex]12 \sqrt{2} [/tex]

Step-by-step explanation:

Taking the terms one at a time,

[tex] \frac{14}{ \sqrt{2} } \\ \frac{14 * \sqrt{2} }{ \sqrt{2} * \sqrt{2} } \\ \frac{14 \sqrt{2} }{2} \\ 7 \sqrt{2} [/tex]

[tex] \sqrt{50} \\ \sqrt{25 * 2} \\ \sqrt{25}* \sqrt{2} \\ 5 * \sqrt{2} \\ 5 \sqrt{2} [/tex]

Adding the terms, you have;

[tex]7 \sqrt{2} + 5 \sqrt{2} =(7 + 5) \sqrt{2} = 12 \sqrt{2} [/tex]

Hope it helps!

I'm out!

Answer:

12

Step-by-step explanation:

14/√2 +√50= 14*√2/√2*√2+ √25*2= 7√2+5√2= 12√2

12√2= b√2

b=12

Answer:

Step-by-step explanation:

8 1/6=49/6

49/6*12=49*2=98

if this is the question 81÷6(81/6) ×12

243

EXPLANATION:

Answer:

The weight in ounces of one box = 15ounces

Step-by-step explanation:

We are told the relationship between the number of boxes and the weight of the crackers in the boxes is given as 11boxes and 165ounces respectively.

In order words, 11boxes weigh 165ounces.

To determine the weight, in ounces, of one box, we would divide the weight of the 11boxes by the number of boxes.

Weight of the 11boxes = 165ounces

Number of boxes that gives that weight = 11

The weight of one box = 165/11

The weight of one box = 15ounces

Answer:

(C)

Step-by-step explanation:

I took the quiz

Answer:

I answered this for you already :)