A spherical metal object with a mass of 13.0g has a diameter of 1.3cm. Calculate the density of the metal.

Answer: C

Step-by-step explanation:

C. because rate of change is the slope aka y/x. The other answers give off negative slopes when determining y/x.

Answer:

4:3

Step-by-step explanation:

Given function:

Divide similar factor by each term:

Rewrite:

Therefore, the simplest ratio for 8 circles and 6 squares would be 4:3..

Answer:

[tex]Rate = 2[/tex]

Step-by-step explanation:

Given

[tex]f(x) = x^2 + 3[/tex]

Required

Determine the average rate of change from -2 to 4

This is calculated using:

[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]

In this case:

[tex]a = -2[/tex]

[tex]b = 4[/tex]

So, we have:

[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]

[tex]Rate = \frac{f(4) - f(-2)}{4 - (-2)}[/tex]

[tex]Rate = \frac{f(4) - f(-2)}{4 +2}[/tex]

[tex]Rate = \frac{f(4) - f(-2)}{6}[/tex]

Calculate f(4):

[tex]f(x) = x^2 + 3[/tex]

[tex]f(4) = 4^2 + 3[/tex]

[tex]f(4) = 19[/tex]

Calculate f(-2)

[tex]f(x) = x^2 + 3[/tex]

[tex]f(-2) = (-2)^2 + 3[/tex]

[tex]f(-2) = 7[/tex]

So:

[tex]Rate = \frac{f(4) - f(-2)}{6}[/tex]

[tex]Rate = \frac{19-7}{6}[/tex]

[tex]Rate = \frac{12}{6}[/tex]

[tex]Rate = 2[/tex]

The average rate of change is 2.

Answer:

2614 cars will be driven by females, give or take 28.

Step-by-step explanation:

For each Ford vehicle, there are only two possible outcomes. Either it is driven by a female, or it is not. Cars are independent. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Company determined that the probability of a randomly selected Ford vehicle on the road being driven by a female is 0.71.

This means that [tex]p = 0.71[/tex]

If there are 3,682 Ford vehicles in your town

This means that [tex]n = 3682[/tex]

__________ cars will be driven by females, give or take __________.

The mean and the standard deviation complete this. So

Mean: [tex]E(X) = np = 3682*0.71 = 2614[/tex]

Standard deviation: [tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{3682*0.71*0.29} = 28[/tex]

2614 cars will be driven by females, give or take 28.

Answer:

is divisible by((731^3) - (631^3), 100) = True

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formula for a^3 - b^3 = (a-b)(a^2+ab+b^2)

By Substitution, (731-631) ( 731^2 + 731x631 +631^2)

= 100  ( 731^2 + 731x631 +631^2)

Therefore it is divisible by 100

Answer:

(x, y) = (-38/5, -38/5)

Step-by-step explanation:

6y - 9x = 24

-3y + 2x = 7 $\Rightarrow$ -6y + 4x = 14.

Adding the two equtions together, we get:

(6y - 9x) + (-6y + 4x) = 24 + 14.

Simplifying, we get:

-9x + 4x = 38

-5x = 38

x = -38/5.

So, 6y - 9 * (-38/5) = 24

y = -37/5

Answer:

Step-by-step explanation:

6y - 9x = 24

-6y + 6x = 21

-3x = 45

x = -15

-3y - 30 = 7

-3y = 37

y = -37/3

Answer:

Luis leaves home first and he leaves 5 minutes before Bianca

Step-by-step explanation:

dL (distance travelled by Luis) = 900 m

sL(Luis'd speed) = 1.5 m/s

tL = time taken by Luis = dL/sL =  900/1.5 = 600 seconds =  10 mins

So Luis would need to leave home at 8:45 am

dB = 1.5 km = 1500 m

sB = 5 m/s

tB = dB/sB = 1500/5 = 300 seconds = 5 minutes

So Biance would leave home at 8:50 am

Answer:

Kindly check attached picture and explanation

Step-by-step explanation:

A.) The tree diagram is attached in the picture below.

B.) Number less than 3 :

Event A:

A = {1HH, 1HT, 1TT, 1TH, 2H, 2T}

C.)

Event B:

B = {1TT, 3TT, 5TT}

D.)

Event C:

C = {1HT, 1TH, 3HT,3TH,5HT, 5TH}

E.)  

A' = Elements not in A = number ≥ 3

A' = {3HH,3HT, 3TT, 3TH, 4H, 4T, 5HH, 5HT, 5TH, 5TT, 6H, 6T}

Question f and G are not well formatted ;

h. Check attached picture

I) i. Are A and B mutually exclusive? Are A and C mutually exclusive? Are B and C mutually exclusive?

A and B are mutually exclusive if AnB = ∅

Check :

AnB = {1TT}

Hence, A and B are not mutually exclusive

A and C

AnC = {1HT, 1TH}

A and C are not mutually exclusive.

B and C

BnC = ∅

B and C are mutually exclusive

Answer:

−1,−4,−9,−14,-19,-24,-29,-34,-39,-44,-49,-54

Step-by-step explanation:

Sum is 3 then 5

Veremos que la propocición es falsa. La magnitud de un ángulo no tiene dependencia con la longitud de sus lados.

La magnitud de un ángulo depende unicamente de la apertura entre sus lados. Un ejemplo de esto puede ser un par de triangulos equivalentes, donde las figuras son las mismas, pero las dimensiones de los lados no lo son.

En triangulos equivalentes podemos ver que todos los angulos interiores son exactamente igulaes, pese a que la longitud de los lados es diferente, asi vemos que la magnitud de un ángulo no tiene dependencia con el largo de sus lados.

Sí quieres aprender más sobre ángulos, puedes leer:

https://brainly.com/question/15755958

Answer: 7

Step-by-step explanation:

Distribute

3c - 6 = 15

Add 6 to both sides

3c = 21

Divide 3 to both sides

c = 7

the answer will be 16x

1 gallon 16x as constant variable

Answer:

C

Step-by-step explanation:

circumfrence = 2 pi r

= 20* 3.14= 2*31.4= 62.8

or c

if my answer helped please mark as brainliest.

Answer:

62.8

Step-by-step explanation:

If your not aloud to don't but if you look it up there's a really good  calculator.

Answer:

25

Step-by-step explanation:

250/10 = 25

Answer:

It is 25

Step-by-step explanation:

I did the test

Answer:

I cant understand read ur lesson and ask help from ur teacher

#CarryOnLearning

Answer:

Company B

Step-by-step explanation:

Company A charges 25 per window, company b charges 40 per window, and company c charges 35 per window so company b has the highest rate

Answer:

company a the rate per window is $75

Step-by-step explanation:

the graph shows company a charges $75 for 1 window

company b (by the chart) charges $55

company c (using the equation) charges $60

35(1)+25=$60 (1 in the equation is the number of windows)

4, 20, 100, 500, 2500

Answer:

2500

Step-by-step explanation:

multiply by 5 every time

Answer:

x = 18, y = 45

Step-by-step explanation:

4x - 7 + a = 180 (linear pair)

But, a = 6x + 7 (alternate interior angles)

=> 4x - 7 + 6x + 7 = 180

=> 10x = 180

=> x = 18

Now, 3y - 20 = 6x + 7 (vertically opposite angles)

=> 3y - 20 = 6(18) + 7

=> 3y = 108 + 7 + 20

=> 3y = 135

=> y = 45

Hope it helps :)

Please mark my answer as the brainliest

Answer:

x=18, y=45

Step-by-step explanation:

I'm in algebra 2, so i don't remember theorem names anymore. But I think I know how to solve it. M and N are parallel, which means that the angles that form are equal to each other on opposite sides. We also know that a flat line adds up to 180 degrees. 6x+7 + 4x-7 add up to 180. (They are not equal angles) Solve for x.  10x=180 x=18.

Now for the y value. 6x+7 and 3y-20 are equal to each other, because they are opposite angles. 6(18)+7=115. set y equal to 115. 3y-20=115. 3y=135

y=45

Answer:

its 3

Step-by-step explanation:

Answer:

Daniel does have enough money to make this car payment

Step-by-step explanation:

Addition and Subtraction

Daniel has an initial balance of $460.63 on this checking account.

He must pay $85.23 for groceries.

The new balance is $460.63 - $85.23 = $375.40

He then pays $81.34 for his cell phone bill. The balance is now $375.40 - $81.34 = $294.06.

He receives a shopping refund of $52.13 that adds up to this balance that now is: $294.06 + $52.13 = $346.19.

Daniel has to make his $264 car payment. The balance is $346.19, thus:

Daniel does have enough money to make this car payment

Answer:

The sunflower's height when it was planted.

Step-by-step explanation:

The sunflower's height in inches, h, after weeks, is given by the equation :

h=2.5w + 19

We need to tell that what the number 19 represent in the equation.

If we put w=0, we get,

h=2.5(0) + 19

h = 19 inches

It means when the number of weeks is equal to 0, its height is equal to 19 inches i.e. 19 represents the initial height of the sunflower. So, the correct option is (c) "The sunflower's height when it was planted."

Answer:

Hanna is 8 years old.

Step-by-step explanation:

Hanna = x

Tina = 4x

Sum = 40.

Hanna =?

Hanna + Tina = 40

4x + x = 40

5x = 40

x = 40/5

x = 8.

Hanna is 8 years old.

Answer:

b

Step-by-step explanation:

its b because you add the 3.4n +2.5n then you subtract -5.3+2.8

Answer:

27°

Step-by-step explanation:

117-90=27°

27

sorry for bad sketching

Answer:

a) P(0 < X) = 0.5

b) P(0.5 < X) = 0.4375

c) P(-0.5 = X = 0.5) = 0.125

d) P(X< -2) = 0

e) P(X < 0 or X>-0.5) = 1

f) value of x is -0.9654

Step-by-step explanation:

Given that;

f(x) = 1.5x²

Now. the probabilities would be the integral of the given function from (-1 to 1)

a) P(0 < X)

P(X > 0)

⇒ Integral from 0 to 1 of f(x)

= (1/2)x³

= 1/2 - 0

= 0.5

Therefore; P(0 < X) = 0.5

b) P(0.5 < X)

P(X > 0.5)

this will also be done in the same way except that, the limits changes to { 0.5 to 1]

= (1)³/2 - (0.5)³ /2  

= 0.4375

Therefore; P(0.5 < X) = 0.4375

c) P(-0.5 = X = 0.5)

The limits become [-0.5 , 0.5]

= (0.5)³/2 - (-0.5)³/2

= 0.125

Therefore; P(-0.5 = X = 0.5) = 0.125

d) P(X<-2)

since value of f(x) = 0 in that region

Therefore P(X< -2) = 0

e) P(X < 0 or X>-0.5)

= P(X < 0) + P(X > -0.5) - P( -0.5 < X < 0 )

= 0.5 + 0.5625 - 0.0625  

= 1

Therefore; P(X < 0 or X>-0.5) = 1

f) Determine x such that P(x < X) = 0.05.

Let the value be 'a'

Then, integral from -1 to a will = 0.05

a³ - (-1)³ = 0.05 × 2

a³ + 1 = 0.10

a³ = 0.10 - 1

a³ = -0.9

a = ∛-0.9  

a = -0.9654

Therefore, value of x is -0.9654

a) P(0 < X) = 0.5

b) P(0.5 < X) = 0.4375

c) P(-0.5 = X = 0.5) = 0.125

d) P(X< -2) = 0

e) P(X < 0 or X>-0.5) = 1

f) value of x is -0.9654

a) P(0 < X)

P(X > 0)

⇒ Integral from 0 to 1 of f(x)

[tex]= (1\div 2)x^3\\\\= 1\div2 - 0[/tex]

= 0.5

So; P(0 < X) = 0.5

b) P(0.5 < X)

P(X > 0.5)

Now

[tex]= (1)^3\div 2 - (0.5)^3 \div2[/tex]

= 0.4375

Therefore; P(0.5 < X) = 0.4375

c) P(-0.5 = X = 0.5)

The limits become [-0.5 , 0.5]

[tex]= (0.5)^3\div 2 - (-0.5)^3\div 2[/tex]

= 0.125

Therefore; P(-0.5 = X = 0.5) = 0.125

d) P(X<-2)

since value of f(x) = 0 in that region

Therefore P(X< -2) = 0

e) P(X < 0 or X>-0.5)

= P(X < 0) + P(X > -0.5) - P( -0.5 < X < 0 )

= 0.5 + 0.5625 - 0.0625  

= 1

Therefore; P(X < 0 or X>-0.5) = 1

f) Determine x such that P(x < X) = 0.05.

Let us assume the value be 'a'

So, integral from -1 to a will = 0.05

[tex]a^3 - (-1)^3 = 0.05 \times 2\\\\a^3 + 1 = 0.10\\\\a^3 = 0.10 - 1\\\\a^3 = -0.9\\\\a = \sqrt[3]{-0.9}[/tex]

a = -0.9654

Therefore, the value of x is -0.9654

Learn more about the probabilities here: https://brainly.com/question/24710931

Answer:

28

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Gabi has 20

Lauren has 20 * 1 2/5

20*1 2/5 = 20*7/5 = 28

Answer:

1/8

Step-by-step explanation:

2 3/4= 11/4

5 1/2= 11/2

11/2 divided by 11/4 = 1/8