1. Melany bikes the 5 km to school in 10 minutes. What is her average speed?

Answer:

27,29

Step-by-step explanation:

Answer:

The volume of the soup pot is of 226.19 cubic inches.

Step-by-step explanation:

Format of a soup pot:

A soup pot has a cylindrical format.

Cylinder volume:

The volume of a cylinder, with radius r and height g is given by:

[tex]V = \pi r^2h[/tex]

The soup pot is 8 inches tall with a radius of 3 inches.

This means that [tex]h = 8, r = 3[/tex]

What is the volume of the soup pot?

[tex]V = \pi r^2h = \pi*3^2*8 = 72\pi = 72(3.1415...) = 226.19[/tex]

The volume of the soup pot is of 226.19 cubic inches.

Answer:

D. a = m + 30

Step-by-step explanation:

It's not A, because that would be dividing Malik's score in half to get Alexia's score.

B only works for the first line.

C is adding 10 to Malik's score, and the difference is greater than that...it's 30 points.

Answer:

13

Step-by-step explanation:

The Pythagorean theorem state

a^2 +b^2 = c^2  where a and b are the legs and c is the hypotenuse

5^2 + 12^2 = c^2

25+144 = c^2

169 = c^2

Take the square root of each side

sqrt(169) = sqrt(c^2)

13 = c

Line EB is a diameter which splits the circle in the middle so the arc of EB would be half the circle. The arc goes through B and continues to C making the arc longer than half the circle.

An arc that is longer than half a circle would be a major arc.

The answer is: Major Arc

Answer:

y=4x-8

hope this helps

have a good day :)

Step-by-step explanation:

Solution :

In this case we have to use [tex]$\text{chi square test}$[/tex] for the goodness of fit.

Null hypothesis is : [tex]$H_0 :$[/tex] Data follows the given distribution

Alternate hypothesis is : [tex]$H_a:$[/tex] Data do not follow the given distribution

The level of significance, [tex]$\alpha = 0.05$[/tex]

The test statistics is given by :

Chi square = [tex]$\sum\frac{(O-E)^2}{E}$[/tex]

Here O is the observed frequencies

         E is the expected frequencies

So we have, N = number of the categories = 4

df = degrees o freedom = N - 1

                                        = 4 - 1 = 3

Critical value  = [tex]$7.814727764$[/tex]

Calculating the table for the test statistics are given as :

  Category      prop.     O        E       [tex]$\frac{(O-E)^2}{E}$[/tex]

   A                   0.2     14       20         1.80

   C                   0.3     28       30         0.13

   M                  0.1        6        10          1.60

  P                    0.4      52       40         3.60

Total                  1        100      100        7.13

The test statics = chi square  = [tex]$\sum\frac{(O-E)^2}{E}$[/tex] = 7.13

[tex]$X^2$[/tex] statistics = 7.13

P-value = 0.067767248

P -value > [tex]$\alpha = 0.05$[/tex]

Therefore, we do not reject the [tex]$\text{null hypothesis}$[/tex]. There is sufficient evidence to conclude that the data follows the given distribution. So there is sufficient evidence to conclude the given claim is true.

Answer:

Step-by-step explanation:

we fix tvs

20h+60

electronic depot

40h+0

Answer:

y =74x

Step-by-step explanation:

A proportional relationship is represented by y = kx where x is the independent variable, or input, k is the constant of proportionality, and y is the dependent variable or output.

What do we do to the values in the row for x to get the values in the row of y?

It helps to have x = 1 in this table.

74 = (k)(1)

74 = k

Answer:

Step-by-step explanation:

A

Answer:m

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer: 1/10

Step-by-step explanation:

Answer:

1/10 pound

Step-by-step explanation:

If you set up the equation as 3/5 - 1/2, you'll have to give them a common denominator. Multiply 3/5 by 2 and multiply 1/2 by 5, and now you can rewrite this equation as 6/10 - 5/10. From here, just subtract and you'll get 1/10.

Answer:

8.4753518e+20

Step-by-step explanation:

I used calculator. You should've used a calculator too.

Answer:

B

Step-by-step explanation:

To find [tex](\frac{f}{g} )(x)[/tex] you can write the expression as [tex]\frac{f(x)}{g(x)}[/tex]. We can substitute the f(x) and g(x) into the expression to get: [tex]\frac{\sqrt[3]{4x} }{2x+3}[/tex]. Now we need to find the domain. The numerator is fine, and the domain is all real numbers, but in a fraction, the denominator cannot equal 0. We can write:  [tex]2x + 3\neq 0[/tex] and we can solve it:

[tex]2x\neq -3[/tex]

[tex]x\neq -\frac{3}{2}[/tex]

This is the same as option B.

The required function (f/g)(x) is 3√4x/2x+3 where x ≠ -3/2. Option C is correct

Given the functions

f(x) = 3√4x

g(x) = 2x + 3

We are to find the resulting function (f/g)(x)

(f/g)(x) = f(x)/g(x)

(f/g)(x) = 3√4x/2x+3

Restriction to the function occurs at the point where the denominator is zero.

2x = 3 = 0

2x = -3

x = -3/2

Hence the required function (f/g)(x) is 3√4x/2x+3 where x ≠ -3/2

Learn more here: https://brainly.com/question/11187697

Answer:

A

Step-by-step explanation:

Answer:

x = 11

Step-by-step explanation:

[tex]x-3y=-7[/tex]

[tex]5x=-2y+67[/tex]

=> [tex]x=\frac{1}{5}(-2y+67)[/tex]

=> [tex]x=-\frac{2}{5}y+\frac{67}{5}[/tex]

=> [tex]-\frac{2}{5}y+\frac{67}{5}-3y=-7[/tex]

=> [tex]-\frac{17}{5}y+\frac{67}{5} =-7[/tex]

=> [tex]\frac{-17}{5}y=-\frac{102}{5}[/tex]

=> y = 6

=> [tex]x=-\frac{2}{5} .6+\frac{67}{5}[/tex]

=> x = 11

Answer:

B) 12 +n

Step-by-step explanation:

"More than" is a key word.

Whenever you see more than, you are adding.

Answer:

what does fy mean

Step-by-step explanation:

Step-by-step explanation:

I tell my friends about this and I found that FY means Fiscal year

Answer:

2

Step-by-step explanation:

A quadratic equation has two roots . If we wanna check it from the graph , then , the number of points on which it cuts x axis .

Answer:

[tex]I =\frac{P*R*T}{100} = \frac{10000 * 11 * T}{100} = 1100T[/tex]

Given A =20000

[tex]Amount = Interest + Principal\\20000 = 1100T + 10000\\20000 - 10000 = 1100T\\\\T= \frac{10000}{1100} = \frac{100}{11} = 9.09 years[/tex]

T =9years

Answer:

[tex]NP = 24.18[/tex]

Step-by-step explanation:

Given

[tex]NK = 7x - 1[/tex]

[tex]NM = 10x - 13[/tex]

[tex]KM = 24[/tex]

See attachment

Required

Length of NP

First, calculate the value of x

[tex]NK = NM[/tex]

So:

[tex]7x -1 = 10x - 13[/tex]

Collect like terms

[tex]10x - 7x = 13 - 1[/tex]

[tex]3x =12[/tex]

Solve for x

[tex]x = 4[/tex]

To solve for NP, we consider right triangle [tex]\triangle NKP[/tex]

Where

[tex]NK = 7x - 1[/tex]

[tex]NK = 7 * 4 - 1[/tex]

[tex]NK = 27[/tex]

[tex]KP =\frac{1}{2}KM[/tex]

[tex]KP =\frac{1}{2} * 24[/tex]

[tex]KP =12\\[/tex]

Using Pythagoras theorem, we have:

[tex]NK^2 = KP^2 + NP^2[/tex]

[tex]27^2 = 12^2 + NP^2[/tex]

[tex]729 = 144 + NP^2[/tex]

Collect like terms

[tex]NP^2 = 729 - 144[/tex]

[tex]NP^2 = 585[/tex]

Take square roots

[tex]NP = \sqrt{585[/tex]

[tex]NP = 24.18[/tex]

Answer:

-15

Step-by-step explanation:

When m=3 and n=-4

So, put the values

7(3)+3(3)(-4)

-> -15

Answer:

-15

Step-by-step explanation:

= 7(3) + 3(3)(-4)

= 21 + 3(3×-4)

= 21 + 3(-12)

= 21 + -36

= 21-36

= -15

Answer:

the answer is acute equilateral

Answer:

(0, 9), (0, 0), (0, 1)

Step-by-step explanation:

Hope it helps you in your learning process.

Answer:

D) -3n - 2

Step-by-step explanation:

Hope this helps

Answer: 6,9000

Step-by-step explanation: