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3 years ago

For f(x) = -4x -9 evaluate for f(6.5)

Mathematics

1 answer:

kolezko [41]3 years ago

7 0

Answer:

f=−35

Step-by-step explanation:

1.Simplify 4×6.5 to 26

f=-26-9

2. Simplify -26-9 to -35

f=-35

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A cone has a radius of 5 ft and a height of 15 ft. It is empty and is being filled with water at a constant rate of 15 15 ft 3 f

kvasek [131]

Answer:

$\frac{dr}{dt}=0.11062ft/sec$

Step-by-step explanation:

From the question we are told that:

Radius $r=5ft$

Height $H=15ft$

Rate $R=15ft/3sec =5ft/s$

Surface Radius $R_{surf}=2.2ft$

Generally the equation for Volume is mathematically given by

$V=\frac{1}{3}\pi*r^2h$

Since radius to height ratio gives

$\frac{r}{h}=\frac{5}{15}$

$\frac{r}{h}=\frac{1}{3}$

$h=3r$

Therefore

$V=\frac{1}{3}\pi*r^2(3r)$

$V=\pi r^3$

Generally the equation for Change of Volume is mathematically given by

$\frac{dv}{dt}=\pi \frac{d}{dt}(r^3)$

$\frac{dv}{dt}=\pi 3*r^2 \frac{dr}{dt}$

$\frac{dv}{dt}=\pi 3*(2.2)^2 \frac{dr}{dt}$

$\frac{dr}{dt}=\frac{5}{45.62}$

$\frac{dr}{dt}=0.11062ft/sec$

3 0

4 years ago

Solve for x: x + 15 = 45 Question 1 options: 30 60 -60 -30

brilliants [131]

Answer: A. 30. x=30/ 30=x *The answer should be the positive sign.*

Step-by-step explanation:

subtraction property of equality is subtracting the same number from both sides of an equation does not change the equation.

a-c=b-c

addition property of equality is adding the same number to both sides of an equation does not change the equation.

a+c=b+c

subtract by 15 both sides of an equation.

x+15-15=45-15

simplify.

45-15=30

30+15=45

45-30=15

x=30 and 30=x

Hope this helps!

Thanks!

Have a great day!

6 0

4 years ago

Find the area of the composite shape below.

arlik [135]

Answer: 1106.13 (2 decimal places)

Step-by-step explanation:

To work out the area of this composite shape you would have to put the two semi circles together to form a circle and work out the area of the circle (they have provided the radius which is 11in), then work out the area of the rectangle separately.

The formula for the area of a circle is πr^2 (pi x radius squared).

So when you put the numbers in the formula the area is πx11^2=380.1327111

Then to work out the area of the rectangle you would do base x height.

The height of the rectangle is the same as the diameter of the circle (the diameter is double the radius of a circle) which is 22in.

To find the area of the rectangle you do 22x33=726

So then to find the area of the whole shape you would have to add the area of the circle and the rectangle together.

726+380.1327111=1106.13 (2 decimal places).

3 0

3 years ago

Marni has 11 ounces of walnuts. She needs 6 ounces for one recipe and \frac {1}{4} 4 1 pound for another. There are 16 ounces

Katena32 [7]

Answer:

Yes she has enough walnuts for her two recipes

Step-by-step explanation:

Total number of walnuts that Marni has = 11 ounces

She has two receipe

First recipe = 6 ounces

Second recipe = 1/4 pounds

Hence,

To find out if she has enough:.we add up the number of ounces from both recipes

The second recipe is in pounds hence, we convert to ounces.

1 pound = 16 ounces

1/4 pound =

Cross Multiply

= 1/4 pounds × 16 ounces/1 pound

= 4 ounces

Hence, we can add up now

First recipe + Second recipe

= 6 ounces + 4 ounces

= 10 ounces.

Since both recipes would require a total of 10 ounces of walnuts and Marin has 11 ounces, we can conclude that Marin has enough ounces of walnuts for her two recipes.

5 0

3 years ago

Read 2 more answers

Are (121 over 11),(23 over 3), and (85 over 5) in simplest form?

Sedaia [141]

Answers:

121/11=11

23/3=23/3

85/5=17

5 0

4 years ago

Read 2 more answers

For f(x) = -4x -9 evaluate for f(6.5)​

For f(x) = -4x -9 evaluate for f(6.5)