What is the greatest common factor of the numerator and denominator in the expression: 6x+2x^2/9x^2+3x^3?

A. 3+x
B. 3x+x^2
C. x
D. 2/3x

Answer:

336 square units

Step-by-step explanation:

The formula for a triangle is 1/2 * height *base

Answer:

Imma guess around 350 cubic inches

Step-by-step explanation:

I'm just going off of my hand compared to my basketball

Answer:

About 433.526 inches^3

Step-by-step explanation:

Goal: Calculate the volume of a Basketball as accurately as possible. Objective 1: Calculate the volume of a basketball.

Step One: Find the radius of the basket ball inflated at 8 PSI. To do this we used a string to measure the circumference of the basket ball arriving at a measurement of 29 inches. Next we inserted that number into the formula C = 2πR where C= circumference and R= Radius. We found that where C= 29inches, R= 4.615 inches.

Solve with Volume of a ball or sphere = 4/3*pi*radius

Answer:

[tex]\frac{6}{h} = \frac{10}{40}[/tex]

Step-by-step explanation:

Given

The attached image

Required

The proportion of the height of the tree

Represent the height of the tree with h.

To solve for h, we make use of the following equivalent ratio

[tex]40 : h = 10 : 6[/tex]

Express as fraction

[tex]\frac{40 }{ h }= \frac{10 }{ 6}[/tex]

Cross multiply

[tex]40 * 6 = 10 * h[/tex]

Divide by 40h

[tex]\frac{40 * 6}{40h} = \frac{10 * h}{40h}[/tex]

[tex]\frac{6}{h} = \frac{10}{40}[/tex]

Answer:

x = 33 , y = 25

Here's your solution

=> let both number be x and y

=> so, x + y = 58

=> x - y = 8

=> solving both equation { add both }

=> 2x = 66

=> x = 33

=> now putting value of x in equation

=> 33 + y = 58

=> y = 58 - 33

=> y = 25

hope it helps

Answer:

no

Step-by-step explanation:

Zero is Soo's miserly number. It won't give the number four

Answer:

she spend one hour and 43 minutes reading

Step-by-step explanation:

hope you have a great day kee learning

Answer:

0.275

Step-by-step explanation:

1.25-0.975=0.275

Answer:

Angle VUX and angle WXU

are alternate interior angles

hope it helps

Answer:

At 10 percent significance level, there is not enough statistical evidence to suggest that there is a difference between mean

a. The decision rule for 5% level of confidence is;

For test statistic is less than 2.306 we fail to reject the null hypothesis

For a test statistic larger than 2.306 we reject the null hypothesis

b. The test statistic is approximately -1.2008

Step-by-step explanation:

The given data are;

No; 1, 2, 3, 4, 5

East Side Shop; 548, 493, 609, 567, 432

West Side Shop; 523, 721, 695, 510, 532

Therefore, we have;

The mean for the East Side Shop, [tex]\overline x_1[/tex] = 529.8

The standard deviation for the East Side Shop, s₁ = 68.751

The mean for the West Side Shop, [tex]\overline x_2[/tex] = 596.2

The standard deviation for the West Side Shop, s₂ = 102.7701

[tex]t_0=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_1^{2} }{n_{1}}+\dfrac{s{2}^{2}}{n_{2}}}}[/tex]

Therefore, we have;

The null hypothesis is H₀; μ₂ - μ₁ = 0

The alternative hypothesis is Hₐ; μ₂ - μ₁ ≠ 0

[tex]t_0=\dfrac{(529.8-596.2)}{\sqrt{\dfrac{68.751^{2} }{5}+\dfrac{102.7701^{2}}{5}}} \approx -1.2008[/tex]

At degrees of freedom, df = n₁ + n₂ - 2 = 8, we have the critical-t = 1.895

Given that the critical-t is more than test statistic, we do not reject the null hypothesis, therefore, there is not enough statistical evidence to suggest that there is a difference between mean

Required;

a. At 5% level, we have critical-t = 2.306

Therefore, the decision rule for 5% level of confidence is that we fail to reject the null hypothesis when the magnitude of the test statistic is less than 2.306 and we reject the null hypothesis for a test statistic larger than 2.306

b. The test statistic is given as follows;

[tex]t_0=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_1^{2} }{n_{1}}+\dfrac{s{2}^{2}}{n_{2}}}}[/tex]

[tex]t_0=\dfrac{(529.8-596.2)}{\sqrt{\dfrac{68.751^{2} }{5}+\dfrac{102.7701^{2}}{5}}} \approx -1.2008[/tex]

Answer:

1

Step-by-step explanation:

Solution:

The difference of cubes identity is

if a and b are any two real numbers, then difference of their cubes, when taken individually:

a³-b³= (a-b)(a² + ab + b²)→→→Option (D) is

true option.

I will show you, how this identity is valid.

Taking RHS

(a-b)(a² +b²+ab)

= a (a² +b²+ab)-b(a² +b²+ab)

= a³ + a b² +a²b -b a² -b³-ab² Cancelling like terms, we get

= a³-b³

= LHS

Answer:

Kylie drank more water than Valentina

Step-by-step explanation:

I know that Kylie drank more water than Valentina.

I know this because I took 3 pints and found how many fluid ounces that would equal. 1 pint is equivalent to 16 fluid ounces. So, three pints would be equal to 48 fluid ounces. 16x3=48

Valentina drank 24 fluid ounces.

48 is greater than 24, so Kylie drank more water than Valentina.

Answer:

18.9

Step-by-step explanation:

Answer:

y = 3x + 41

Step-by-step explanation:

First, lets set up the slope-intercept form equation, that is...

y = mx + b

m = slope

b = y-intercept

because the y-intercept is a positive value, it cannot be y=-3x-41 or y= 3x-41

now, we know that b = 41, but what is the slope?

Well, here are tips for doing slope

if the line is gradually increasing upwards, then it is a positive slope

if the line is gradually decreasing downwards, then it is a negative slope

because the line in the picture is positive, this proves y=-3x+41 wrong, therefore making y = 3x + 41 the only correct answer

Therefore, your correct answer is y = 3x + 41

Answer:

21

Step-by-step explanation:

so the relationship is that the music is ten times the commercials so, divide 210 by 30 and times that number by 3 210/30= 7, 7'3=21

Answer:

21 minutes of commercials

Step-by-step explanation:

If Hits 96 must play 3 minutes of commercials for every 30 minutes of music played, than the ratio of minutes of commercials to minutes of music is 3:30=1:10.

If 210 minutes of music is played, we can model the situation with the equation [tex]\frac{1}{10} =\frac{x}{210}[/tex]

We can use cross multiply to simplify the equation to [tex]10x=210[/tex]

Dividing each side by 10, we get [tex]x=21[/tex]

So, if 210 minutes of music is played, 21 minutes of commercials is played.

Answer:

3/4 h

Step-by-step explanation:

Answer:

120 students are predicted to like chocolate chip ice cream best.

Step-by-step explanation:

40% = 0.4

Multiply 300 by 0.4 to get 40% of 300.

300 × 0.4 = 120

Answer:

D

Step-by-step explanation:

11 1/4 divided by 3= 3.75 (3 3/4)

Answer:

d) [tex]3\frac{3}{4}[/tex] pounds

Step-by-step explanation:

Hi there!

What we know:

- Sarah has [tex]11 \frac{1}{4}[/tex] pounds of dog food

- Sarah is dividing this into 3 containers

1) Convert [tex]11 \frac{1}{4}[/tex] into an improper fraction

[tex]11 \frac{1}{4}[/tex]

Multiply the whole number by the denominator

11 × 4 = 44

Add 44 to the numerator

44 + 1 = 45

[tex]\frac{45}{4}[/tex]

2) Divide [tex]\frac{45}{4}[/tex] by 3

[tex]\frac{45}{4} / 3[/tex]

Dividing by a number is the same as multiplying its reciprocal

[tex]= \frac{45}{4} *\frac{1}{3}[/tex]

Multiply the numerators and the denominators

[tex]45*1 = 45\\4*3 = 12[/tex]

[tex]= \frac{45}{12}[/tex]

3) Convert [tex]\frac{45}{12}[/tex] into a mixed number fraction

[tex]\frac{45}{12}[/tex] ⇒ [tex]3\frac{3}{4}[/tex]

Therefore, there will be [tex]3\frac{3}{4}[/tex] pounds of food in each container.

I hope this helps!

Answer:

Step-by-step explanation:

First we can write the equation to find the surface area of a rectangular prism[tex]A = 2(w*l+h*l+h*w)[/tex]

Now rewrite filling in variables

[tex]A = 2(3*5+8*5+8*3)[/tex]

Solve. Keep in mind the order of operations

After solving, you should get 158.

Since these measurements were done in inches, we need to add inches/in to the end.

Also, since it is area, we need to add ²

158 in²

Answer:

6.11 or 6.12

Step-by-step explanation:

You will have to divide 116.25 by 19

to find the length Mr.Rice will need to purchase

which is 6.11842105

Answer:

A /  D /  E

Step-by-step explanation:

f (1) = 1

f(2) = 5

f(3) = 9

Step-by-step explanation:

5k×8×20

_______ =800

100

Answer:

≈ 23305

Step-by-step explanation:

The amount A is calculated as

A = P [tex](1+r)^{t}[/tex]

P is the principal

r is the interest rate

t is the time in years

A = 5000 [tex](1+0.08)^{20}[/tex]

   = 5000 [tex](1.08)^{20}[/tex]

   ≈ 23305 ( to the nearest whole number )

Answer:

aeafscgefgdderhgdthdg

Answers:

Open the pdf below and youll find what you need. also do the largest bills you can.

Answer: D: 10 and 11

Step-by-step explanation:

The Sq Rt of 111 is 10.5356537529 which falls between 10 and 11

Answer:

D: 10 and 11

Step-by-step explanation:

10.5356537529 10^11

and in standard notation:

105,356,537,529

Answer:

Impossible

Step-by-step explanation:

Answer:

12.7

Step-by-step explanation:

Remember this rule when rounding 5 and below let it go (ex. 12.32 = 12.3) 6 and above give it a shove (ex. 12.47 = 12.5).

Answer:

n has no value.

There is no solution to this equation

Step-by-step explanation:

let n be the number

In pieces:

sum of the number and 1: (n + 1)

8 times the sum: 8(n + 1)

-7 times a number: -7n

sum of -7 times and...: -7n + 8(n + 1)

number minus 7: n - 7

the same as: =

All together:

-7n + 8(n + 1) = n - 7

-7n + 8(n+1)=n-7

-7n + 8n+8=n-7

0=-15