Answer:
27
Step-by-step explanation:
abby went to the movies and buy a large container of popcorn. The popcorn container can be modeled by a right circular cone with a diameter of 9 inches and a height of 10 inches. Popcorn has a density of 34 ounces per cubic foot. If a continer of popcorn costs $8, what is the price per ounce
Answer:
$1.918
Step-by-step explanation:
The volume of a right circular cone is obtained using the formular :
V = 1/3πr²h
From the question:
Diameter = 9 inches ; height = 10 inches
Radius = diameter /2 = 9/2 = 4.5 inches
V = 1/3*π*4.5²*10
V = 211.95 in³
Volume in ft³ = 211.95 / 1728 = 0.12265625 ft³
Density of popcorn = 34 ounces / ft³
Density of popcorn CONTAINER = x
1 ft³ = 34 ounce
0.12265625 ft³ = x
Cross multiply
x = 34 * 0.12265625 ft³
x = 4.1703125 ounce
Hence, popcorn continer has a density of 4.1703125 ounce
If price per container = $8
The price per ounce = $8 / 4.1703125
= $1.918
Hence, price per ounce is $1.918
5
What are the solutions of the quadratic equation below?
2x - 2x - 9 = 0
ОА.
-119
2
OB. 33/19
2
Oc1/19
2
OD. 1+3 19
2
Reset
Next
(a+4)(a-2) please help
Answer:
a²+2a-8
Step-by-step explanation:
Write the equation of the line that passes through the points (-5, -7) and
(-3,3). Put your answer in fully reduced point-slope form, unless it is a
vertical or horizontal line.
Answer:
f(x)=5x+3
Step-by-step explanation:
The slop is 5 and the y intercept is 3
So if you put that in an equation it makes 5x+3
I used the slope formula to find the slope
Subtract the y values over x values
If the world's population increased exponentially from billion in 1998 to billion in 2008 and continued to increase at the same percentage rate between 2008 and 2012, calculate what the world's population would have been in 2012. Round your answer to two decimal places.
Answer:
The answer is "7.122 billion"
Step-by-step explanation:
Please find the complete question in the attached file.
Using formula:
[tex]\to y=Ce^{kt}[/tex]
[tex]C=5.937\\\\y=6.771\\\\t=10\\\\ k=?6.771=5.937e^{10k}\\\\1.1405=e^{10k}\\\\\ln(1.1405)={10\ k}\\\\0.013={k}\\\\[/tex]
So,
[tex]\to y=5.937e^{.013t}\\\\[/tex]
when it becomes [tex]2012, \ t=14[/tex] so plug the value into the formula
[tex]\to y= 5.937e^{.013(14)} =7.122 \ billion[/tex]
Please select all that apply.
Answer:
option A
Step-by-step explanation:
[tex]x \% \ of \ 25 = 40\\\\\frac{x}{100} \times 25 = 40\\\\\frac{x}{4} = 40\\\\x = 160[/tex]
Answer:
I think its b
Step-by-step explanation:
I looked it up
If you know how to solve this, Please answer it. Thank You
Please show your work and the steps.
The first one to answer the question right, will get Brainlist!
I PROMISE!!!!!
The answer is in the picture. Click on it.
What is the measure of angle AEC?
Answer:
Step-by-step explanation:
90-39=51
Find the quotient 5.4x10^5/1.2x10^2
Show work please! (:
in a mixture of 20 litres,the pure milk is 60%,what quantity of water should be added so that pure milk becomes 40%?
Answer:
4 litres
Step-by-step explanation:
First, we are going to find 60% of 20 litres.
20 × [tex]\frac{60}{100}[/tex] = 12 litres
∴ Pure milk 12 litres.
Now we find 40% of 20 litres.
20 × [tex]\frac{40}{100}[/tex] = 8 litres
To find the quantity of water to be added we subtract the 8 litres from the 12 litres.
12 - 8 = 4 litres
∴ 4 litres of water should be added so that pure milk becomes 40%
Brainliest award: To make lime green paint requires yellow, blue, and white paint in the
ratio of 6:5:1. How much white paint is needed to make 30 gallons of lime green paint? Please explain thoroughly for each step and explain why 30 would be divided by 12.
Answer:
2.5
Step-by-step explanation:
because yellow : blue : white = 6:5:1
so divided into 6+5+1= 12 equal parts
because white = 1 part --> white = 30 : 12 = 2.5
if I simplify the formula -3 (-10)+5(-10)=
Challenge: x(2)+9x+c
:-D
Answer:
×(2)+9×+c
2×+9×+c =
11x+c
Lorena's backpack has a mass of 14,000 grams.
What is the mass of Lorena’s backpack in kilograms?
Lorena's backpack weighs kilograms.
Answer:
14
Step-by-step explanation:
What choices are equivalent to the quotient below ?
OPTION A , C,D
are the correct choices because all of them are equal to √5
What is the ratio 36 to 81 in simplest form?
Answer: 4 : 9
Step-by-step explanation:
36 : 81
Divide each side by 9 to simplify:
4 : 9
Find x.
X=
400
8
Round to two decimals at each step of the problem.
Answer:
6.71
Step-by-step explanation:
→ Find a triangle to use
Tan = Opposite ÷ Adjacent
→ Rearrange to make opposite the subject
Opposite = Tan × Adjacent
→ Substitute in the values
Opposite = Tan (40) × 8
→ Simplify
Opposite = 6.71
What is the least common denominator out of 1/9 and 2/3
Answer:
9
Step-by-step explanation:
9 is a multiple of 3, so it is the least common denominator
9 factors : 9,18,27,36,45,54, ...
3 factors : 3 , 6, 9, 12, 15, 18, ..
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
f(x)= 2x²-3x²+1 find f(3)
Answer:
Step-by-step explanation:
f(3)=2*3^2 - 3*3^2 + 1
=2*9 - 3*9 + 1
=18-27+1
=19-27
=-8
Answer:
f ( 3 ) = -8
Step-by-step explanation:
→ Substitute x = 3 into 2x² - 3x² + 1
2 × ( 3 )² - ( 3 × ( 3 )² ) + 1
→ Simplify
-8
Calculate a positive co-terminal angle for θ=40°
Answer:
400
Step-by-step explanation:
angles that are coterminal with the angle 400? => 4000 and 7600 are two positive coterminal angles.
Kurt had a plate of pancakes at a diner. The bill, with tax, was $6.75. He gave the waiter a tip equal to 20% of the bill. What is the total amount that Kurt spent at the diner? A. $1.35 B. $6.89 C. $6.95 D. $8.10
Answer:
$8.10
Step-by-step explanation:
6.75 ÷ 100 = 0.0675 x 20 = 1.35
1.35+6.75=$8.10
PLEASE HELP!!! ASAP PLEASE !! IM BEGGING !!!!!!!
Answer:143!!
Step-by-step explanation:answer : 143
Joy sells two types of yarn: wool and synthetic. Wool is $12 per skein and synthetic is $9 per skein. If Joy sold 16 skeins of synthetic and collected a total of $432, how many skeins of wool did she sell?
Construct a table of values and a graph
o
t
o
h
for each of the following functions. Be
p
/
m
sure to select at least two values in the
o
c
.
r
interval 0 < x < 1.
2. How did you decide what values to use for x in your table?
3. How did you use the x values to find the y values in the table?
4. What similarities do you see in the graphs?
5. What differences do you observe in the graphs?
6. What is the effect of changing the base on the graph of a logarithmic function?
Answer:
pls edit the question. there seems to be missing information. the function are not there.
in the meantime I hive you as much as possible.
I'll edit when you gave the missing functions.
your table of values could look like this:
x y1 y2
-2
-1
0
0.25
0.5
1
2
3
4
5
2. I did choose some negative integers, some positive and, as the problem requested, 2 values between 0 and 1. this should give some idea of the function when graphed.
3. calculate each scenario by swapping the x in the formula with the value for x from the table.
4. [need the functions for this one, but probably: one has a steeper slope than the other one]
5. [definitely need the graphs for this. I'll graph dem for you then]
6. the common logarithm is to the base 10. that means it answers questions like
[tex] {10}^{x} = 100[/tex]
this would be 2 for the example, so
[tex] log(100) = 2[/tex]
[tex] log_{10}(100) = 2[/tex]
these two are the same
if we change the base to, let's say, 8, it gives answers to problems like
[tex] {8}^{x} = 64[/tex]
this is relatively easy to see 2, so we can write it this way:
[tex] log_{8}(64) = 2[/tex]
Generally speaking, the log asks to wich power some base has to be raised to equal as certain value, like eight to the power of what equals 64.
From her eye, which stands 1.63 meters above the ground, Samantha measures the
angle of elevation to the top of a prominent skyscraper to be 18°. If she is standing at
a horizontal distance of 201 meters from the base of the skyscraper, what is the height
of the skyscraper? Round your answer to the nearest tenth of a meter if necessary.
Answer:66.9 meters
Step-by-step explanation:
tan 18/1=x/201\
20tan18=x
201 tan 18=x
x=65.308858...
65.308858...+1.63= 66.938858...
≈ 66.9 meters tall
The height of the skyscrapers is 66.9 meters.
Given
From her eye, which stands 1.63 meters above the ground, Samantha measures the angle of elevation to the top of a prominent skyscraper to be 18°.
If she is standing at a horizontal distance of 201 meters from the base of the skyscraper,
The angle of elevation;The angle of elevation of the sun is the angle formed between the horizontal line and your line of sight when you look at the sun.
Then,
The height of the skyscrapers is given by;
[tex]\rm Tan\theta=\dfrac{Opposite \ side}{Adjacent \ side}[/tex]
Substitute the values in the formula
[tex]\rm Tan\theta=\dfrac{Opposite \ side}{Adjacent \ side}\\\\\rm Tan18=\dfrac{x}{201}\\\\x = tan18\times 201\\\\x=65.30[/tex]
Therefore,
The height of the skyscraper is;
= 65.30 + 1.63 = 66.9
Hence, the height of the skyscrapers is 66.9 meters.
To know more about the angle of elevation click the link given below.
brainly.com/question/12992313
The lower the standard error: Multiple Choice the more precisely the parameter estimates the true values. the less confident the manager can be that the parameter estimates reflect the true values. the less precisely the parameter estimates the true values. the more confident the manager can be that the parameter estimates reflect the true values.
Answer:
The more confident the manager can be that the parameter estimates reflect the true values.
Step-by-step explanation:
Standard error:
The standard error is a parameter that is direct proportional to the margin of error of a confidence interval, that is, the higher the standard error, the higher the margin of error of the confidence interval.
A lower margin of error leads to a more precise interval, thus, a lower standard error will also mean a higher confidence for the estimate, and thus, the correct option is:
The more confident the manager can be that the parameter estimates reflect the true values.
what is the greatest number that divides 45 and 60 without leaving a remainder
The answer is in the picture. Click on it
Point P is the center of the circle below. What is the exact area
of the shaded sector in terms of pi?
A. 1671 pie units
B. 4877 pi units
C. 1207 pi units
D. 1921 pi units
NEED ANSWER Please, check the picture
Answer:
[tex]Area =192\pi[/tex]
Step-by-step explanation:
Given
[tex]\theta = 120^o[/tex]
[tex]r =24[/tex]
Required
The area of the shaded sector
This is calculated as:
[tex]Area =\frac{\theta}{360} * \pi r^2[/tex]
This gives
[tex]Area =\frac{!20}{360} * \pi *24^2[/tex]
[tex]Area =\frac{1}{3} * \pi *576[/tex]
[tex]Area =\pi *192[/tex]
[tex]Area =192\pi[/tex]
PLEASE HELP IM SO STUCK!
Answer:
x = 30
Step-by-step explanation:
The angle in the bottom right is 120
Call is y
y+60 = 180
y = 180-60
y =120
Opposite angles in a parallelogram are equal so the upper left angle is 120
Call the 3x +z = 120
We also know that 2x+90 +z = 180 since it forms a straight line
Subtract 90 from each side
2x+z = 90
Using 3x+z = 120 and 2x+z =90 and subtracting the second equation
3x+z = 120
-2x-z =-90
------------------
x = 30
Let f(x) = - 10x + 9 and g(x) = x2 + 12
Find f( - 4)/g( - 4)
Answer:
[tex]\frac{49}{28}[/tex]
Step-by-step explanation:
Evaluate g(- 4) and f(- 4) by substituting x = - 4 into g(x) and f(x), that is
f(- 4) = - 10(- 4) + 9 = 40 + 9 = 49
g(- 4) = (- 4)² + 12 = 16 + 12 = 28
Then
[tex]\frac{f(-4)}{g(-4)}[/tex] = [tex]\frac{49}{28}[/tex] = [tex]\frac{7}{4}[/tex]