The cylinder has a radius of 5 feet and height of 20 feet. What is the volume of the cylinder in cubic feet?
Answer:
Well the volume is 1570.8 cubed. but i don't know what it would be in your range of answers.
Step-by-step explanation:
Melinda is selling her paintings. The graph depicits the profit she makes given the selling price of the paintings. What is the approximate average rate of change in profit per dollar selling price, when the selling price yields $0 profit to a selling price that yield the maximum profit
Answer:
The average rate of change is 28.57
Step-by-step explanation:
Given
See attachment for graph
Required
The average rate of change from 0 to maximum profit
At 0, we have:
[tex](x_1,y_1) = (32,0)[/tex]
At maximum, we have:
[tex](x_2,y_2) = (60,800)\\\\[/tex]
The average rate of change (m) is calculatd as:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
So, we have:
[tex]m = \frac{800 - 0}{60 - 32}[/tex]
[tex]m = \frac{800}{28}[/tex]
[tex]m = 28.57[/tex] --- approximated
i have 30 sweets and 15 chocolate in a basket.If i take five sweets out the basket,what is the ratio(in its simplest form)of the number of chocolate th the number of sweets left in the basket?
Answer:
If you take 5 sweet out of the basket, then the ratio of the number of chocolate to the number of sweet left in the basket is. \frac{5} {30 - 5} = 5/25 = 1/5
Step-by-step explanation:
Choose each number that shows 4% as an equivalent fraction, decimal, or percent. Select all that apply.
Answer:
1/4
Step-by-step explanation:
4 divide in half so should be 1/4
which point lies on the line described by the equation below?
( I am pulling an all nighter for high school and this question is really important)
Answer:
F (5,-8)
Step-by-step explanation:
By rearranging,
y= 4x-28
Substitute each of the x values of the answers, eventually you will get to F and discover that when x = 5, y= -8
y= 4(5) - 28
y= -8
So, when x= 5, y= -8,
Point F is (5,-8)
What transformation(s) were made to the original f(x) = x3 graph?
The function was shifted to the right 3 units.
The function was shifted to the left 2 units.
The function was stretched by a factor of 2.
The function was shifted to the right 2 units.
The function was shifted upward 2 units.
The function was stretched by a factor of 0.5.
Answer: it is c which is the function was stretched by all the factor of 2
hope this help
Can you help and do it step by step
Answer:
$4800
Step-by-step explanation:
SI=PRT DIVIDED BY 100..
So it is going to be 400×2×6 divided by 100 which will be 4800
Find f(0) if f (x) = log base 10 of 10 + 9^x + (x - 2)(x - 1)
Answer:
Step-by-step explanation:
find measure of indicated arc please!
Answer:
94 degrees
Step-by-step explanation:
Simplify: -8x +7-5-5x + 5x
A
- 8x + 2
B
-18x+12
-x-5
D
-X+12
Answer:
A) -8x+2
Step-by-step explanation:
-8x + 7 - 5 - 5x + 5x
-8x -5x + 5x + 7 - 5
- 8x+2
Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.
5
60°
10
x
Not drawn to scale
Answer:
D
5 sq.rt. 3
Step-by-step explanation:
use the pythagorean theorem: a^2 + b^2 =c^2
5^2 + x^2 = 10^2
25+ x^2 =100
x^2 = 100 - 25
x^2 =75
x = [tex]\sqrt{75}[/tex]
x = 5 [tex]\sqrt{3}[/tex]
If a equals B andB equals C which statement must be true?
Answer:
A=B=C... wouldn't both B and C be equal to A? Also I can't see the statements.
According to recent reports, Apple Inc. holds 27.6% of the Tablet Computer market. Suppose a consumer research company believes that 27.6% is too high and undertakes a survey to see if their suspicion is supported by the sample data. A random sample was taken of tablet computer purchases and find that of 200 purchases, 52 are Apple tablet computers. The P-value is 0.3064 and the hypothesis is : H:P = 0.276 H:P < 0.276 You would conclude at a significance level of 5%.
There is statistically significant evidence that Apple Inc. holds less than 27.6% of the tablet computer market.
there is a 30.36% chance that Apple Inc. holds at least 27.6% of the Tablet computer market.
we don't have sufficient evidence to support the claim
We have sufficient evidence to suppot the claim, that Apple holds less than 27.6%
Answer:
We don't have sufficient evidence to support the claim
Step-by-step explanation:
Null hypothesis:
[tex]H_0: p = 0.276[/tex]
Alternate hypothesis:
[tex]H_1: p < 0.276[/tex]
The P-value is 0.3064
0.3064 probability of finding a sample proportion lower than the one found.
The p-value is higher than the significance level of 0.05, which means that there is no sufficient evidence to support the claim.
Find the upper 20%of the weight?
Answer:
The upper 20% of the weighs are weights of at least X, which is [tex]X = 0.84\sigma + \mu[/tex], in which [tex]\sigma[/tex] is the standard deviation of all weights and [tex]\mu[/tex] is the mean.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Upper 20% of weights:
The upper 20% of the weighs are weighs of at least X, which is found when Z has a p-value of 0.8. So X when Z = 0.84. Then
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.84 = \frac{X - \mu}{\sigma}[/tex]
[tex]X = 0.84\sigma + \mu[/tex]
The upper 20% of the weighs are weights of at least X, which is [tex]X = 0.84\sigma + \mu[/tex], in which [tex]\sigma[/tex] is the standard deviation of all weights and [tex]\mu[/tex] is the mean.
What conclusion can be determined from the dot plot below? A dot plot showing two dots above 6, 7, 8, 9 and 10 each. (3 points) a The number of observations is 5. b The median of the data set is 5. c The mean of the data set is 8. d The range of the data set is 8.
Answer:
C. The mean of the data set is 8.
Step-by-step explanation:
From the dot plot we can make a frequency table as follows:
Number of books read Frequency
6 2
7 2
8 2
9 2
10 2
Since, the number of dots are 10 or then sum of the frequencies is 10.
Hence, the number of observations are 10.
Also, the median of the set is: 8
Now, the mean is calculated as:
Hence, Mean of the data set is: 8
Now, the range of the data set is the difference between the minimum and the maximum value.
Hence, range=10-6=4
The range of the data set is 4.
Answer:
c
Step-by-step explanation:
Compute using long division: 9,876 divided by 123
Answer:
C 80 R36
Step-by-step explanation:
See attached image for explanation.
Factor 9x2+24x+16
Enter your answer in the boxes.
9x2+24x+16= ( answer here )2
Answer:
(3x + 4)^2
Step-by-step explanation:
9x^2 + 24x + 16
Let's use middle term break method to factor this polynomial.
In Quadratic Factorization using Splitting of Middle Term which is x term is the sum of two factors and product equal to last term. Factor each pair by finding common factors.
we nee two number which give 144 wh3n multiplied and 24 when added.So, 12 and 12 is the number because 12*12=144 and 12+12=24.
9x^2 + (12+12)x +16
9x^2 +12x +12x +16
take common
3x(3x + 4) +4(3x +4)
take (3x + 4) as common
(3x +4)(3x*1 +4*1)
(3x +4)(3x +4)
(3x +4)^2
Answer:
2 (17+12x)
Step-by-step explanation:
See image below:)
PLEASE HELP ME WITH THESE TWO PROBLEMS ASAP !!!!!!! PLS
Answer:
1. 35 degrees
2. 44 degrees
Step-by-step explanation:
1). 35 degree
180-59=121
121+24+ m<1= 180
m<1= 35 degree
2) m<CED= 45 degree
As CED is a right angled triangle, one angle is of 90 degree while other 2 angles are of 45 degree which makes a sum of 180.
Plz send the Venn diagram of this...
Answer:
Step-by-step explanation:
sorry im not sure
c) Determine the location and values of the absolute maximum and absolute
minimum for the given function:
f(x) = (-x + 2)4, where 0 <x<3
Answer:
The absolute maximum on the interval 0 < x < 3 is at x = 2 and f(2) = 0. Since x = 2 can only give an absolute maximum, so there is no absolute minimum.
Step-by-step explanation:
f(x) = (-x + 2)⁴
to find the absolute maximum and minimum values, we differentiate f(x) with respect to x.
So df(x)/dx = f'(x) = 4(-x + 2)³
The maximum and minimum values are obtained when f'(x) = 0
So, 4(-x + 2)³ = 0
⇒ (-x + 2)³ = 0
⇒ -x + 2 = 0
-x = -2
x = 2
Now, f(2) = (-2 + 2)⁴ = 0⁴ = 0
So, the absolute maximum on the interval 0 < x < 3 is at x = 2 and f(2) = 0. Since x = 2 can only give an absolute maximum, so there is no absolute minimum.
Margo borrows $1600, agreeing to pay it back with 3% annual interest after 11 months. How much interest will she pay?
Round your answer to the nearest cent, if necessary.
Answer:
Margo will pay $ 44 in interest.
Step-by-step explanation:
Given that Margo borrows $ 1600, agreeing to pay it back with 3% annual interest after 11 months, to determine how much interest will she pay, the following calculation must be performed:
3/12 x 11 = 0.25 x 11 = 2.75
1600 x 1.0275 = X
1644 = X
1644 - 1600 = 44
Therefore, Margo will pay $ 44 in interest.
Fill in the missing number to make these fractions equivalent 15/25 = ?/5
Answer:
3
Step-by-step explanation:
25 divided by 5 is 5
therefor 15 divided by 5 is 3
15/25 = 3/5
Answer:
3
Step-by-step explanation:
[tex]\frac{15}{25} =\frac{?\\}{5}[/tex] 25 divided by ? = 5? The number 5 so divide 15 as well
15 ÷ 5 = 3
[tex]\frac{15}{25} =\frac{3}{5}[/tex]
Hence, 3 is the answer
Please mark me as brainliest if you can or give me a thanks
Mention any two similarities between rectangle and square.
Use trigonometric identities to verify each expression is equal. sin(x)/1-cos(x)-cot(x)=csc(x)
Answer:
See Below.
Step-by-step explanation:
We want to verify the identity:
[tex]\displaystyle \frac{\sin x}{1 - \cos x} - \cot x = \csc x[/tex]
We can multiply the fraction by 1 + cos(x):
[tex]\displaystyle \frac{\sin x(1+\cos x)}{(1 - \cos x)(1+\cos x)} - \cot x = \csc x[/tex]
Difference of Two Squares:
[tex]\displaystyle \frac{\sin x(1+\cos x)}{1-\cos^2 x} - \cot x = \csc x[/tex]
From the Pythagorean Theorem, we know that sin²(x) + cos²(x) = 1. Rearranging, we acquire that sin²(x) = 1 - cos²(x). Substitute:
[tex]\displaystyle \frac{\sin x(1+\cos x)}{\sin^2 x} - \cot x = \csc x[/tex]
Cancel:
[tex]\displaystyle \frac{ 1 + \cos x}{\sin x}-\cot x = \csc x[/tex]
Let cot(x) = cos(x) / sin(x):
[tex]\displaystyle \frac{ 1 + \cos x}{\sin x}-\frac{\cos x}{\sin x} = \csc x[/tex]
Combine Fractions:
[tex]\displaystyle \frac{ 1 + \cos x - \cos x}{\sin x}= \csc x[/tex]
Thus:
[tex]\displaystyle \frac{1}{\sin x}=\csc x = \csc x[/tex]
Hence proven.
Ray invested $300 in Stock A
and $750 in Stock B. Since then,
the value of Stock A has increased
by 15% each year and the value of
Stock B has decreased by 12% each
year. After 4 years, which statement
is true regarding the value of
his investments?
A) Stock A is worth $55.15 more than Stock B.
(they won a radio contest)
B) Stock A is worth $74.93 more than Stock B.
(they are best friends)
C) Stock B is worth $55.15 more than Stock A.
(they wanted to get attention)
D) Stock B is worth $74.93 more than Stock A.
(they were training for a marathon)
CADRUG
Answer:
i think its b
Step-by-step explanation:
WDYM BY SUBSTITUTION when u get the two proportions, u say "substitute" im giving 100
Answer:
substitute means to use or add in place of something.
Step-by-step explanation:
Example: Substitute 1 for x: therefore x now is equal to 1.
The mean waiting time at the drive-through of a fast food from the time the order is placed to the time the order is recieved is 84.3 seconds. A manager devises a new drive-through system that he believes will decrease the wait time. To test his claim, he initiates the new system at his restaurant and measures the wait time for 45 randomly selected orders and finds the sample mean to be 81.9 and a sample standard deviation of 17.3.
1. Has the wait time significantly decreased?
2. Write the appropriate hypothesis statements for this test.
3. Also what is the t-test and p-value?
Answer:
1.) No ;
2.) - 0.931
3.) 0.1785
Step-by-step explanation:
Given :
μ = 84.3 ; xbar = 81.9 ; s = 17.3
H0 : μ = 84.3
H1 : μ < 84.3
The test statistic :
(xbar - μ) ÷ (s/√(n))
(81.9 - 84.3) / (17.3/√45)
-2.4 / 2.5789317
= - 0.9306
= - 0.931
Using the test statistic, we could obtain the Pvalue : df = n - 1 ; df = 45 - 1 = 44
Using the Pvalue calculator :
Pvalue(-0.9306, 44) = 0.1785
Using α = 0.05
The Pvalue > α
Then we fail to reject H0; and conclude that there is no significant evidence to support the claim that the mean waiting time is less than 84.3
What is the value of k in the linear pair below?
A straight line. A line comes out of the line to form angles 104 degrees and k.
A. 14 degrees
B. 76 degrees
C. 104 degrees
D. 180 degrees
To prove ABC= ADC, To prove which triangle postulate could you use?
SSS
SAS
ASA
AAS
Answer:
ASA
Step-by-step explanation:
..................
To prove ABC = ADC, We use ASA triangle postulate.
What is congruency?We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
The similarity of triangles on the other hand is when the corresponding angles are equal but the corresponding sides are not equal but they have the same common ratio.
From the given diagram a quadrilateral ABCD is given,
Line segment AC divides quadrilateral ABCD into two triangles namely
ABC and ADC, and both have a common side AC.
m∠BAC ≅ m∠DAC and m∠BCA ≅ m∠DAC.
Therefore, Triangle ABC and ADC are congruent by ASA, with two angles and a side included between them.
learn more about congruency here :
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Igor is in high school and got a part time job with every paycheck he has decide 10%will go to short term savings 20%to long term savings and the rest he will use for his current expenses and spending .