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grin007 [14]
3 years ago
7

Evaluate f(4) = 3(a +2) for a = 4.​

Mathematics
1 answer:
ad-work [718]3 years ago
5 0

Answer: f = 15/4

Step-by-step explanation: hope this helps

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An x-intercept is also known as a _____
djyliett [7]

An x-intercept is also known as a _____horizontal intercept_____

5 0
3 years ago
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Help me find the volume of the composite figure
Butoxors [25]

Answer:

V = 97.911in^3

Step-by-step explanation:

Given

Shapes: Cube and Cone

Required

Determine the volume

First we calculate the volume of the cube

V_1 = l^3

Where

l = side length = 5.1

V_1 = 5.1^3

V_1 = 132.651

Next, calculate the volume of the cone using:

V_2 = \frac{\pi r^2h}{3}

Where

h = 5.1

r = \frac{1}{2} * Diameter

r = \frac{1}{2} * 5.1

r = 2.55

So, we have:

V_2 = \frac{\pi r^2h}{3}

V_2 = \frac{\pi * 2.55^2 * 5.1}{3}

V_2 = \frac{22 * 2.55^2 * 5.1}{7*3}

V_2 = \frac{729.5805}{21}

V_2 = 34.74

The volume of the figure is:

V=V_1 - V_2

V_1 = 132.651

V = 132.651 - 34.74

V = 97.911in^3

8 0
3 years ago
A hiker walks at a speed of 3 2 5 kilometers per hour. How many kilometers will the hiker walk in
Vika [28.1K]

Answer:

  = 2  4/15 km

Step-by-step explanation:

Speed = 3 2/5 km/hour

The units are not the same.  The speeds is in hours and the time is in minutes

Lets convert minutes to hours.  60 minutes = 1 hour

40 minutes * 1 hour/ 60 minutes = 40/60 hours = 2/3 hour

Distance = speed * time

                  = 3 2/5 * 2/3

Change the mixed number to an improper fraction

  3 2/5 = (5*3+2)/5 = 17/5

                   = 17/5 * 2/3

                  = 34/ 15  km

Change this back to a mixed number

 15 goes into 34 2 times  (15*2 = 30)  with 4 left over

                  = 2  4/15 km

3 0
4 years ago
1.Suppose that scores on a knowledge test are normally distributed with a mean of 71 and a standard deviation of 6
Degger [83]

Answer:

a) For this case we can see the distribution in the figure attached is a bell shaped graph and symmetrical around 71

b) z = \frac{76-71}{6}= 0.833

We can see the value of 76 labeled in the second picture attached

c) P(X>76)

And using the z score we have this using the normal standard table or excel:

P(Z>0.833) = 1-P(Z

d) n = 185*0.202= 154.16

We can say that about 154 and 155 students scored higher than Angelica

Step-by-step explanation:

We know that X represent the random variable scores of knowledge test and is given by:

X \sim N (\mu = 71, \sigma =6)

Part a

For this case we can see the distribution in the figure attached is a bell shaped graph and symmetrical around 71

Part b

For this case the z score is given by:

z = \frac{X- \mu}{\sigma}

And replacing we got:

z = \frac{76-71}{6}= 0.833

We can see the value of 76 labeled in the second picture attached

Part c

We want this probability:

P(X>76)

And using the z score we have this using the normal standard table or excel:

P(Z>0.833) = 1-P(Z

Part d

For this case we can find the number desired like this:

n = 185*0.202= 154.16

We can say that about 154 and 155 students scored higher than Angelica

6 0
4 years ago
Find the unknown measure. the are of the rectangle is 64 square feet.
Sedaia [141]

Answer:

16

Step-by-step explanation:

6 0
3 years ago
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