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3 years ago

If f(x) = x/2 plus 8 what is f(x) when x = 10

Mathematics

1 answer:

kicyunya [14]3 years ago

5 0

$f(x)=\frac{x}{2}+8$

Given y = f(x)

Substitute x = 10.

$f(10)=\frac{10}{2} +8\\f(10)=5+8\\f(10)=13$

Therefore f(x) = 13 when x = 10

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The sum of their speeds is 180 miles per hour superman is 20mph faster than Desperado how fast is each roller coaster

madreJ [45]

Superman is 100 mph

Desperado is 80 mph

there total speed is 180 mph and Superman is 20 mph faster

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3 years ago

A liquid shake is being served in a cone shaped container with a base diameter of 8 centimeters and a height of 22 centimeters.

zhuklara [117]

Answer:

The container weighs approximately 28 g.

Step-by-step explanation:

In order to solve this problem we first need to calculate the volume of the container, since it's shaped like a cone we must use the following formula:

volume container = (pi*r²*h)/3

Applying the data from the problem:

r = d / 2 = 8/2 = 4 cm

volume container = [pi*(4)²*22]/3

volume container = (pi*16*22)/3

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Since the density is 0.82 g/cm³, we can find the mass of the shake by using the following formula:

density = mass / volume

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Since the container plus shake weighs 330 grams, then the container alone weighs:

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The container weighs approximately 28 g.

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3 years ago

A Petri dish contains 100 bacteria cells. The number of cells increases 5% every minute. How long will it take for the number of

alexandr402 [8]

Using logarithm, the following equation will apply:
Y = P * [1 + z]^x
Where Y = 2000
P = 100
z = 5% = 0.05
x is the quantity we are calculating for
The equation becomes
2000 = 100 * [1+ 0.05]^x
Dividing both side by 100, we have
20 = 10 * [ 1 + 0.05]^x
Taking the log of both sides, we have
Log 20 = Log [1 + 0.05]^x
log 20 = x * log 1.05
x = log 20/ log 1.05 = 61.40
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3 years ago

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2 years ago

Find the value of x that makes lines u and v parallel

gogolik [260]

Answer:

x = 4 for Lines U and V to be parallel

<u>Skills needed: HS Geo, Angle Theorems, Equations</u>

Step-by-step explanation:

1) We see that there are two angle measures given to us. There is an angle marked with the measure of $130$ °, and the other is marked with ( $33x-2$ )°.

First of all, these two angles are categorized alternate interior angles. They are on alternate sides of the transversal, and are within the two lines (not on the outer side of the lines). I will add an image for reference regarding this idea.
If 2 lines are parallel, alternate interior angles are congruent. This means that: $33x-2=130$

2) Solving this equation is fairly straightforward.

$33x-2+2=130+2$ (add 2 to both sides in order to get the $33x$ by itself.
$33x\div33=132\div33$ (to get $x$ by itself)
132 divided by 33 is 4, and 33x divided by 33 is x, so $x=4$

--------------------------------------------------------------------------------------------------------------Hope you understood, have a great day.

7 0

2 years ago