Answers
9514 1404 393
Answer:
26.2 in³
Step-by-step explanation:
The formula for the volume of a cone uses the radius of the cone as one of its variables. Here, the diameter is given, so we need to divide it by 2 to find the radius.
r = d/2 = (5 in)/2 = 2.5 in
The volume is ...
V = 1/3πr²h
V = (1/3)π(2.5 in)²(4 in) = 25π/3 in³ ≈ 26.2 in³
The volume of the cone is about 26.2 in³.
Related Questions
Given f(x) = -3x + 1, solve for a when ƒ(x) = −5.
Answers
Clearly f(x) is one-one onto function so it is invertible so ƒ(x) is y + -5 /3.
What one-one onto function ?Each element of one set, let's say Set (A), is mapped with a particular element of another set, let's say Set (B), where A and B are two separate sets. This is known as a one-to-one function or one-to-one mapping. 1-1 is another way to write it. If f(x) = f(y) means that x = y, then f is one to one in terms of function.
Let y = f(x) = -3x + 1
Clearly f(x) is one-one onto function so it is invertible.
⇒y = -3x − 1 ⇒ x = y+1 /-3
∴f (x)= -5
y + -5 /3
Clearly f(x) is one-one onto function so it is invertible so ƒ(x) is y + -5 /3
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Suppose that the function h is defined, for all real numbers, as follows.
h(x) = (x+1)²
{
if x ≤-2
if-2
-x-2 ifx>2
h(-2) = 0
h(-1) = 0
h (3) = 0
Find h(-2), h(-1), and h (3).
0/0
믐
X
3
please help 15 points to whoever does
Answers
In light of this, 1,0,8 is the value of the function h(x) = (x+1)2 where h is defined for all real integers.
what is function ?The subject of mathematics includes quantities and their variations, equations and related structures, forms and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A relationship between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, within functions, and on functions.
given
h(x) = (x+1)²
h(-2) = 1
h(-1) = 0
h(3) = 8
In light of this, 1,0,8 is the value of the function h(x) = (x+1)2 where h is defined for all real integers.
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Parallelogram ABCD has vertices at A (-3, 6.5), B (-1, -1.5), and C (4.5, 0). What are the coordinates of Point D?
Answers
The coordinates of Point D are (2.5, 8).
What is parallelogram?
A parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of equal size.
Given:
Parallelogram ABCD has vertices at A (-3, 6.5), B (-1, -1.5), and C (4.5, 0).
We have to find the coordinates of Point D.
Let its fourth vertex be D(a, b).
Join AC and BD. Let AC and BD intersect at point O.
We know that the diagonals of a parallelogram bisect each other.
So, O is the midpoint of AC as well as that of BD.
Using the midpoint formula,
Midpoint = [tex](\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]
Here, ([tex](x_1, y_1) = (-3, 6.5), (x_2, y_2) = (4.5, 0)[/tex]
⇒ Midpoint of AC = [tex](\frac{-3 + 4.5}{2}, \frac{6.5 +0}{2}) = (\frac{1.5}{2}, \frac{6.5}{2}) = (0.75, 3.25)[/tex]
Now,
Midpoint of BD is = [tex](\frac{-1+a)}{2}, \frac{-1.5+b}{2})[/tex]
⇒
[tex]\frac{-1+a}{2} = 0.75, \frac{-1.5+b}{2} = 3.25 \\ -1 + a = 1.5, -1.5 + b = 6.50\\a = 2.5, b = 8[/tex]
Hence, the coordinates of Point D are (2.5, 8).
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69°F
() Which ordered pairs represent points on the graph of this equation? Select all that apply.
7y = -4x + 28
>
(3, -6)
(5,0)
(0,4)
(-4,-5)
(-5, 1)
(-6, 3)
Answers
Ordered pairs (0,4) stand in for points on the graph created by the equation 7y = -4x + 28.
What exactly is a line equation?A linear equation with a degree of one is referred to as a line equation. Two variables, x and y, are present in the equation of the line. The third parameter is the line's slope, which indicates the line's elevation. Y = mx + c, where m is the slope and c is the intercept cut by y, is the equation of the line in its general form.
given
7y = -4x + 28
For (3,-6)
7(-6) + 4( 3) = 28
-42 + 12 = 28
no
For (5,0)
7(0)+4(5)= 28
= 20
no
For (0,4)
7(4)-0=28
Yes
For (-4,-5)
7(-5)+4( - 4)= 28
no
For (-5, 1)
7(1)+4(-5)=28
No
For (-6,3)
7(-6)+4(3)= 28
No
hence the points (0, 4) on the graph of the equation 7y = -4x + 28 are ordered pairs.
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2. A 2-pint bottle of olive oil costs $2.68. If
the unit price remains the same, how much will
gallons of olive oil cost?
Answers
Answer:
21.44 All you need to do is divide the 2.68 by 2 then multiply it by 16
From a point 235 meters from the base of a cliff, the angle of elevation to the cliff top is 25 degrees. Find the height of the cliff.
please provide a diagram and step by step answers thanks
Answers
Answer:
X=110
Step-by-step explanation:
The height of the cliff is 109.58 meters.
What is Angle of Elevation?Angle of elevation is the angle which is between a horizontal line and the line of sight which is pointed upwards.
Given that,
We get a right angled triangle ABC where A represents the base of the cliff and C is the point of the top of the hill.
B is the point which is at a distance of 235 meters from the base of a cliff.
Length of AB = 235 meters
Angle of elevation to the cliff top, ∠B = 25 degrees
AC represents the height of the cliff. Let it be x.
Using the trigonometric ratio,
tan B = AC / AB
tan 25 = x / 235
x = 235 × tan 25
= 109.58 meters
Hence the height of the cliff is 109.58 meters.
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Solve for the area of the combined shape
Answers
Answer:
47 cm²
Step-by-step explanation:
3(9 - 4) + 8 × 4 = 15 + 32 = 47
the inaugural attendance of an annual film festival is 20,000. The attendance y increases by 5% each year
A. write a function that represents the attendance after t years.
B. about how many people will attend the festival in the fifth year?
Answers
A. A function that represents the attendance after t years can be written as y = 20,000(1 + 0.05t)
What does a math function mean?
a mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).
This function represents the initial attendance of 20,000, multiplied by 1 + 5% increase each year (0.05) times the number of years (t).
B. To find out about how many people will attend the festival in the fifth year, we can substitute t = 5 into the function.
y = 20,000(1 + 0.05 * 5)
y = 20,000(1 + 0.25)
y = 20,000(1.25)
y = 25,000
So, approximately 25,000 people will attend the festival in the fifth year.
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Write an addition equation with three equal fractional parts.
15
4
=
+
+
Answers
Step-by-step explanation:
please refer to the sketch
How many Solutions does the equation 3x -5 = -3 have ?
Answers
Answer:
One solution
Step-by-step explanation:
The only solution is x = 2/3
Answer:
3x-5=-3=19
Step-by-step explanation:
Which expression is the simplest form of 2(4x + y) + 3(x-69) + x??
O A. x2 + 11x – 4y
B. x2 + 11x- 17y
O c. x2 + 11x-16y
O D. x2 + 9x - 17y
SUBMIT
Answers
Help please need to pass!
First image is the answer choices for both
Second image is the questions
Answers
Answer:
1. (-9,-2)
2. (2, -9)
what the first one just swap the coordinates first then change the x coordinate sign .
for the second question while rotating the coordinates along hundred eighty degrees clockwise just change the signs of X and Y coordinates
A size 8 kid's shoe measures 9 2/3 inches. If 5 size 8 shoes are lined end
to end, then how many inches will they cover? *
Answers
Answer:
48 1/3
Step-by-step explanation:
Multiply number of kids shoes lined up (5 pairs) by inches per shoe (9 2/3"). ANSWER: 5 pair of size 8 shoes lined up will be 48 1/3 inches long
Which of the following functions matches this graph?
On a coordinate plane, a parabola opens up and goes through (negative 1.1, 0), has a vertex at (0, negative 4), and goes through (1, 0).
Answers
Answer:
ok so if we were to do this the correct way than we would put th
e a/312 *42 first but inorder to do this we have to put the 123 bacwards from origanal order wich would be 312 so 213 wich is 87 times theaccual length so i have no idea
Step-by-step explanation:
to 2 6/12 simplified
Answers
Answer:
2 1/2 or 2.5
Step-by-step explanation:
I believe it's 1 1/2
Step-by-step explanation:
I think it's either 1/6 or 1/2
Sarah and Bridget have played 45 tennis matches.
Sarah has won 15 times.
Bridget won the rest.
a) Estimate the probability that Sarah wins.
b) Estimate the probability that Bridget wins.
P(Sarah wins)=
P(Bridget wins)=
Answers
Answer:
P(Sarah wins)= 1/3
P(Bridget wins)= 2/3
Step-by-step explanation:
15/45 = 1/3
1 - 1/3 = 2/3
Faith Sherlock received her monthly pension check of $1,445.26. From that amount, she transferred $170 to a savings account and paid the electricity bill for $156.33, the gas bill for $9.38, the water bill for $98.42, and the cable television bill for $52.54. How much (in $) remained of Faith's monthly pension?
Answers
Answer:
170 + 156.33 + 9.38 + 98.42 + 52.54= 486.67
1,445.26 - 486.67= 958.59
Faith has $958.59 left.
-5b + 35 = 85
Help pls
Answers
Answer:
-10
Step-by-step explanation:
-5b + 35 = 85
-5b = 50
-5b/-5 = 50/-5
b = -10
Answer:
B = -10
Step-by-step explanation:
-5b + 35 = 85
work is shown in picture
Select all the correct answers. The manufacturer of a popular brand of markers is planning to release a new color. To determine which color to add, it mailed out surveys to 5,000 of its customers regarding the general color family they prefer. The returned results are shown in this pie chart. A Pie Chart with four sections representing the color preferences Blues, Greens, Yellows, and Pinks Based on the results, one member of the management team says they should choose the new color from the blue family of colors since a majority of people prefer those colors. Another member doesn’t agree and thinks they should do more research. Which statements would support her request? The difference among the percentages is not statistically significant enough to make the claim of majority. A majority of the management team prefers the yellow family of colors. Not all color families were represented in the survey, which could cause a nonresponse bias. The mail-in survey may have resulted in an undercoverage bias. Since only existing customers were surveyed, the results were not random.
Answers
The statements that would support her request include:
The difference among the percentages is not statistically significant enough to make the claim of majority.Not all color families were represented in the survey, which could cause a nonresponse bias.The mail-in survey may have resulted in an undercoverage bias.Since only existing customers were surveyed, the results were not random.How to illustrate the information?A well-known marker brand's manufacturer intends to introduce a new shade. It mailed surveys to 5,000 of its customers asking them which general color family they preferred in order to decide which color to add.
The percentage difference is not statistically significant enough to support the majority claim. The survey did not include families of every color, which might have led to nonresponse bias.
It's possible that the mail-in survey had an undercoverage bias. Also, the results were not random because only current clients were polled.
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Answer: the other guy is correct except for the "since only existing customers...".
Step-by-step explanation:
Just took the test, the others he mentioned were right
Each year, the high school guidance counselors conduct a survey to estimate the proportion of students at the school who cheat on their homework. Based on a random sample of 300 students from the high school, a 99% confidence interval for the proportion of all students at the high school who cheat on their homework is 0.052 to 0.192. Describe how untruthful answers might lead to bias in this survey. Does the stated margin of error account for this possible bias
Answers
Answer:
The stated margin of error would account for the possible bias caused by wrong answers due to the closeness of the confidence interval
Step-by-step explanation:
Random sample = 300
99% confidence interval of student who cheat : 0.052 to 0.192
The confidence interval is too close that it only contains the population parameter, this means that almost every subject in the Given population will have to be measured.
Since This is an impractical approach it will lead to untruthful answers been produced which will cause bias. hence the stated margin of error would account for the possible bias caused by wrong answers.
The piggy bank has 71 dimes and quarters with a
value of 12.35 dollars. How many of each coin are there
Answers
Answer:
35 Quarters and 36 Dimes
Step-by-step explanation:
d + q = 71
10 + 25 = 1235
10 x 36 = 360
25 x 35 = 875
360 + 875 = 1235
Answer:
There are 35 quarters and 36 dimes.
Step-by-step explanation
x = the number of quarters
y = the number of dimes
x + y = 71
0.25x + 0.1y = 12.35 ---> multiply this equation by 100
now...
25x + 10y = 1235
x + y = 71 ----> multiply this equation by -25
25x + 10y = 1235
-25x - 25y = -1775
[tex]\frac{-15}{-15} = \frac{-540}{-15}[/tex]
y = 36 dimes
next step
x + y = 71
x + 36 = 71
- 36 - 36
x = 35 quarters
7. Find the slope and y-intercept of the line given by -6x - 18y = 20.
Answers
Answer:
Given,eqn is -6x-18y=20
or,-18y=6x+20
or,y=6x+20/-18
or,y=6x/-18 +20/-18
or,y= - X/3 -10/9
Comparing above eqn with y=mx +c,we get
m= -1/3 and y-intercept (c)=-10/9
*Mark me brainliest
Answer:
slope: -1/3 y-int: -10/9
Step-by-step explanation:
first step is to turn the equation into slope intercept form (y=mx+b)
-6x-18y=20
+6x +6x
-18y=6x+20
divide -18 on both sides
y=-1/3x-10/9
the m is the slope, and the b is the y-intercept
Please help will mark Brainly
Answers
Let C be the number of children who used the public swimming pool and A be the number of adults.
The total number of people at the pool is given by the equation: C + A = 660
The total cost of admission for all the people at the pool is given by the equation: 1.5C + 2.5A = 1279
Solving the system of equations using substitution, we get:
A = 289 and C = 371
There were 371 children and 289 adults at the public pool on the hot summer's day.
If you shift the cubic parent function, F(x)=x^3, down 9 units, what is the equation of the new function
Answers
Therefore the table values of which represents a linear function are table 2 and table 3
What is linear equation?A linear equation is a first-order (linear) term and a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. A "linear equation of two variables" is what is sometimes referred to here, where y and x are the variables.
Here,
The values shown in table 2 have same constant rate of change of 3 units.
where as,
The values shown in table 3 have same constant rate of change of 5 units.
Therefore the table values of which represents a linear function are table 2 and table 3
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Which r-value is the best estimate of the correlation coefficient for the variables in the scatter plot?
Answers
The best estimate of the r-value of the correlation coefficient for the variables shown in the scatter plot is: C. r = 0.64.
How to Estimate Correlation Coefficient on a Scatter Plot?The farther the points are from each other along the trendline, the closer the r-value is to zero and vice versa.
If the trendline is increasing upwards to your right, the r-value would be positive, and vice versa.
Th scatter plot given shows the trendline is increasing, and the data points are moderately spaced out along the trendline from each other.
Therefore, the best estimate for the r-value is: C. r = 0.64.
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it takes 9 people 40 minutes to clean a hotel lobby. How many minutes would it take 4 people
Answers
Answer:
90 minutes
Step-by-step explanation:
9 people = 40 minutes
4 people = 40/4=10
10 * 9= 90
therefore 4 people will finish the work in 90 minutes
Rico has 1 3/4 feet of rope. He needs 3/4 foot for each craft he is making. How many crafts can he make from his rope? Solve using the standard algorithm. Write your answer in equation form.
NO links or I WILL REPORT AND HAVE YOU BANNED
Answers
Answer:
2 crafts
Step-by-step explanation:
1 3/4 = 7/4
7/4 / 3/4 = 2.5
The question asks for whole crafts, not halves so the answer is not 3 or 2.5 but 2
a parallelogram has sides that are in the ratio of 7:5 the premeter of the parallelogram is 48 how long does the longer side
Answers
Hello there!
Answer:
14
Step-by-step explanation:
Let the smaller side is x. Then the largest side is x * 7/5.
Perimeter is equal to 2 * (x + 7/5 * x) or 48.
2 * (x + 7/5 * x) = 48
5/5 * x + 7/5 * x = 24
12/5 * x = 24
12/5 * 5/12 * x = 24 * 5/12
x = 10.
Tha larger side is 10 * 7/5 = 14.
Step-by-step explanation:
Given ,
Ratio of the sides of a parallelogram are 7:5Perimeter of a parallelogram is 48To Find : Which side is longer
We know the formula to find the perimeter of a parallelogram is,
[tex]P = 2(a+b)[/tex]
We take 'x' to find out which side is longer
[tex]48 = 2(7x+5x)\\48 = 2(12x)\\48 = 24x\\\frac{48}{24} = x[/tex]
[tex]2 = x[/tex]
Side a = 7x = 7 x 2 = 14
Side b = 5x = 5 x 2 = 10
Side a [tex]\geq[/tex] Side b
Hence, side a is longer
A linear relationship is given in the table.
X-2
y-12-7-238
What is the slope of the relationship?
05
0-5
O
-10 12
01/130
5
0_1
5
Answers
The slope of the relation is 1/4
What is the slope of the table?You should know that slope is the rate of change of y with respect to x. slope is denoted by change in y over change in x
The table of values is given as:
x −2 −1 0 1 2
y −13 −9 −5 −1 3
The slope is calculated as:
Slope = y₂ - y₁/x₂ - x₁
So, we have
Slope = 2 - 1/3 + 1
Evaluate the like terms
Slope = 1/4
In conclusion, the slope of the relation is 1/4
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PLEASE HELP!
An architect is designing a circular window to be installed in the
gable of a house. The metal window frame will be 1 foot wide and will be bordered by
the roof above and a wood beam below. The distance from the center of the window to the roof is 3 feet. What will be the circumference of the circular glass pane that will be
needed?
Answers
Exact Circumference = 4pi feet
Approximate Circumference = 12.56 feet (when using pi = 3.14)
======================================================
Explanation:
The larger circle has a 3 foot radius.
The inner circle has a 3-1 = 2 foot radius.
Let's find the circumference of the smaller inner circle, which represents the glass window and ignores the metal frame surrounding it.
C = 2pi*r
C = 2pi*2
C = 4pi
The exact circumference is 4pi feet. This is the perimeter around the circle.
If you wanted, you can use an approximation like pi = 3.14 to find that 4pi = 4*3.14 = 12.56 feet is the approximate circumference.