Answer:
A - Exponential
Step-by-step explanation:
Exponential is the best fitting model because there's a $500 raise in salary each year, so $500 is added to the salary of the previous year.
A frustum is formed when a plane parallel to a cone’s base cuts off the upper portion as shown. A cone is shown. The top of the cone is cut off to form a frustum of the bottom portion. The cone has a radius of 3. 5 and a height of 8. The frustum has a height of 11 and a radius of 7. 5. Which expression represents the volume, in cubic units, of the frustum? One-thirdĎ€(7. 52)(11) â€" One-thirdĎ€(3. 52)(8) One-thirdĎ€(7. 52)(11) One-thirdĎ€(3. 52)(8) One-thirdĎ€(7. 52)(19) â€" One-thirdĎ€(3. 52)(8) One-thirdĎ€(7. 52)(19) One-thirdĎ€(3. 52)(8).
The expression that represents the volume of the frustum in cubic units is [tex]\frac{1}{3} \pi (7.5)^2(19) - \frac{1}{3} \pi (3.5)^2(8)\\[/tex][tex]units^3[/tex]
The formula for calculating the volume of a cone is expressed as:
[tex]V=\frac{1}{3} \pi r^2h[/tex]
r is the base radius of the coneh is the height of the coneThe volume of the frustum will be expressed as:
Vf = Volume of the larger cone - Volume of the smaller cone
The volume of the larger cone = [tex]\frac{1}{3} \pi (7.5)^2(11+8)\\[/tex]
The volume of the larger cone = [tex]\frac{1}{3} \pi (7.5)^2(19)\\[/tex]The volume of the smaller cone = [tex]\frac{1}{3} \pi (3.5)^2(8)\\[/tex]Taking the difference in volume:
Volume of the frustum = [tex]\frac{1}{3} \pi (7.5)^2(19) - \frac{1}{3} \pi (3.5)^2(8)\\[/tex]
Therefore the expression that represents the volume of the frustum in cubic units is [tex]\frac{1}{3} \pi (7.5)^2(19) - \frac{1}{3} \pi (3.5)^2(8)\\[/tex][tex]units^3[/tex]
Learn more about volume of frustum here: https://brainly.com/question/1273042
what is the sqare root of 12
Answer:
3.46 but if you simplify it is 3.5
Step-by-step explanation:
Answer:
3.46410161514
Step-by-step explanation:
Noah and his dad went out for lunch. Their meal cost $32. The sales tax rate is 8%. Noahś dad left a 15% tip on the $32. How much did they pay in total
Answer:
$39.36
Step-by-step explanation:
Can find how much the sales tax cost:
32 x 0.08 = $2.56
Can also find out how much he tipped:
32 x 0. 15 = $4.80
Total = $32 + sales tax + tip
Total = $32 + $2.56 + $4.80
Total = $39.36
Answer:
$39.36 in total
Step-by-step explanation:
32×0.08= 2.56
32×0.15= 4.8
4.8+2.56= 7.36
32+7.36=39.36
Define a equilateral triangle
Answer:
All sides are equal
Step-by-step explanation:
Think: equilateral is equal so this must mean that something on the triangle has to be all equal.
Find the slope-intercept equation of the line
that passes through (5, -3) and has a
slope of -1/2
Answer:
y = -1/2x - 1/2
Step-by-step explanation:
lmk if you want an explanation
the students at Walden Middle school are selling tins of popcorn to raise money for new uniforms. they sold 42 tins in the first week. how much money did they make in the first weeks
Answer:
$388.50
Step-by-step explanation:
9.25 * 42 = $388.50
What is the solution to this quadratic equation
No files or links please!
graph y= -4/3 x+2 using the slope and y-intercept
slope: 3
y-intercept: (0,-2)
Calculate the value of x
Answer:
x=15
Step-by-step explanation:
360-330=30
30/2=15
x=15
hope that helps
please mark as brainliest if correct
thank you
A boy stands 12 metres from the foot of the building and observes the angle of elevation of the top of the building. The height is of the building is approximately
Answer:
10.07 meters
Step-by-step explanation:
We are given that the angle of elevation is 40° and the boy is 12 meters from the building.
This means that in order to figure out the height of the building, we must use the tangent function which states that [tex]tan(\theta)=\frac{opposite}{adjacent}[/tex].
The opposite side in this case is the height of the building in relation to the angle and the adjacent side is the distance the boy is away from the building.
Therefore, we can find the height of the building by plugging in our known information and solving for the opposite side:
[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]
[tex]tan(40^\circ)=\frac{x}{12}[/tex]
[tex]12tan(40^\circ)=x[/tex]
[tex]x=12tan(40^\circ)[/tex]
[tex]x\approx10.07[/tex]
Therefore, the height of the building is approximately 10.07 meters.
Solve for h. (h − 8)(h + 2) = 0
Answer:
donwload the gautmaht this is very powerful calculator to math problems
Step-by-step explanation:
make this is helpful too you
Write 25 and 13 as equivalent fractions using a common denominator.
Answer:
25/50 + 13/26
Step-by-step explanation:?????Not sure, please have someone else answer i dont want to be the cause of your incorrect answer:(
7.
Quentin takes piano lessons
each month. Last month, he
took 4 piano lessons and paid
$104. This month, he plans to
take 2 piano lessons. How much
will Quentin pay this month?
Answer:
52$
Step-by-step explanation:
104 / 4 = 26$ per lesson
2 piano lessons = 26 x 2 = 52$
At the gym, Hillary swims every 6 days and runs every 4 days. If she did both activities today, in how many days will she do both activities again on the same day?"
Answer:
we know that
Hillary
swims every 6 days---> Multiples of 6---> 6-12-18-24-30-36-42-48-54
runs every 4 days-----> Multiples of 4----> 4-8-12-16-20-24-28-32-36-40-44-48
cycles every 16 days---> Multiples of 16---> 16-32-48-64
therefore
In 48 days she will do all three on the same day.
the answer is
48 days
Step-by-step explanation:
Do it quickly please for brainliest
Step-by-step explanation:
x/(2x - 4) - (2x - 11)/(x + 2) = 5/8x/(x - 2) - (4x - 22)/(x + 2) = 5/4x(x + 2) - (4x - 22)(x - 2) = 5/4(x + 2)(x - 2)4(x² + 2x - 4x² + 8x + 22x - 44) = 5(x² - 4)4(-3x² + 32x - 44) = 5x² - 20- 12x² + 128x - 176 - 5x² + 20 = 0- 17x² + 128x - 156 = 017x² - 128x + 156 = 0x = (64 ± 38)/17x = 6 or x = 26/17
Pls help: Write 2^100 as a power with the following base. For example: 4^50
1)16 2)32 3)1024
[tex]2^{100} = 16^{25} =32^{20} =1024^{10}[/tex]
P/s: [tex]2^{100} = 2^{4.25} =16^{25}[/tex] ......
ok done. Thank to me :>
Write and solve an equation for the following:
Answer:
x = (180 - [71 + 9]) ÷ 2
Step-by-step explanation:
71 + 9 = 80
180 - 80 = 100°
100° ÷ 2 = 50°
El Club de Matemáticas está horneando pasteles para una venta de
pasteles. La receta del pastel de frutas requiere el doble de melocotones
que nectarinas. Si se necesitan un total de 168 piezas de fruta para todas
las tartas, ¿cuántas nectarinas se necesitan?
Answer:
56
Step-by-step explanation:
El problema se puede transcribir en esta ecuación:
2x + x = 168
siendo x las nectarinas
sumas los términos de x:
3x=168
despejas x:
x = 168 ÷ 3
x = 56
I need help showing work
Answer:
yawa ka ah diyan module tae yan hahaha
don't know sorry mate
what do you do to multiplay 100
x 300
Answer: 30000
Step-by-step explanation:
[tex]100 \times 300\\\\=100 \times 100 \times 3\\\\= 10000\times 3\\\\=30000[/tex]
Help for points! please
Answer:
B 5/12
Step-by-step explanation:
Answer:
its b
Step-by-step explanation:
i just did it
have a nice dayyyyyyyyyyyyyyyy
Write an expression that is equivalent to 21h- 10h + 16 - 9 + 14h + 5
Answer:
25h+12
Step-by-step explanation:
Combine Like Terms:
21h+−10h+16+−9+14h+5
(21h+−10h+14h)+(16+−9+5)
25h+12
Same thing, no difference.
Hope this helped! :)
How do I solve this please look for the x and then the y
Answer:
x + y = 75
Step-by-step explanation:
2x - 5 and 75 are adjacent angles on a straight line and sum to 180° , that is
2x - 5 + 75 = 180
2x + 70 = 180 ( subtract 70 from both sides )
2x = 110 ( divide both sides by 2 )
x = 55
Then
2x - 5 = 2(55) - 5 = 110 - 5 = 105
2x - 5 and 4y + 25 are vertically opposite angles and are congruent, so
4y + 25 = 105 ( subtract 25 from both sides )
4y = 80 ( divide both sides by 4 )
y = 20
Then x + y = 55 + 20 = 75
When a basketball player makes a trip to the free throw line, he takes two consecutive shots. It is often
wondered whether these two shots are independent or dependent does the probability of making the
second free throw depend on whether a player makes the first free throw?
After analyzing data for Lebron James, statisticians determined that his first and second free throws are
entirely independent events. The frequency table below shows the data that analysts used to determine this
independence.
Fill in the missing values from the frequency table.
Answer:
Step-by-step explanation:
Determine the decimal equivalent of 5 over 8
Answer:
3.125
Step-by-step explanation:
We know that
258
is the same as
25÷8
Then using
Long Division for 25 divided by 8
and rounding to a Max of 3 Decimal Places gives us
=3.125
The first three terms of an arithmetic sequence are as follows.
28, 23, 18
Find the next two terms of this sequence.
Answer:
13, 8, 3
Step-by-step explanation:
Subtract 5 from the following terms.
Mark me as the brainliest please, Thank you!
What is the measure of 2C?
30
30
А
30
O A. 60°
O B. 90°
O C. Cannot be determined
D. 30°
Answer:
60
Step-by-step explanation:
All sides are equal, so all angles are equal.
All angles equal 60 because 180 ÷ 3 = 60
I hope this helps!!
NO LINKS PLEASE! AND NO NEGATIVITY!
Find the measure of angle Y.
Answer:
Y = 62°
Step-by-step explanation:
The sum of angles in a triangle is 180°.
W + X + Y = 180°
(4n -9°) + (7n -16°) +(6n -16°) = 180°
17n -41° = 180° . . . . . . . . . . simplify
17n = 221° . . . . . . . . . . add 41°
n = 13° . . . . . . . . . . divide by 17
Then the measure of Y is ...
Y = 6n -16° = 6(13°) -16° = 78° -16°
Y = 62°
_____
The other angles are W = 43°, X = 75°.
Angles of a triangle adds to 180° .
===============================> W + X + Y = 180°
=> (4n-9°) + (7n-16°) + (6n-16°) = 180°
=> 17n-41° = 180°
=> 17n = 180° + 41°
=> 17n = 221°
=> n = 221/17
=> n = 13°
The measure of Y is,=> 6n-16° = 6(13°) -16° = 62°
Y = 62°
How long is a bus journey that starts at 8.55 a.m. and ends at 9.17 a.m.?
Please can you put the answer in minutes?
Answer:
5+17=22 minute
