Answer:
2,799 square cm
Step-by-step explanation:
Volume of cone: (1/3)π(9^2)(40)=1,080π
Volume of cylinder: π(3^2)(21)=189π
1,080π - 189π = 891π = 2799.2 square cm
Two containers designed to hold water are side by side, both in the shape of a
cylinder. Container A has a diameter of 12 feet and a height of 16 feet. Container B
has a diameter of 16 feet and a height of 13 feet. Container A is full of water and the
water is pumped into Container B until Container A is empty.
After the pumping is complete, what is the volume of water in Container B, to the
nearest tenth of a cubic foot?
help plssss
Optimize the equation P = 3x + y using the constraints
x ≥ 0, x ≤ 4, y ≥-1 and y ≤ 5.
What is the maximum?
Answer:
P = 17
Step-by-step explanation:
let's separate this into x and y components
x component: 3x
as x increases, so does the x component. e.g. 0 * 3 = 0, 4 * 3 = 12. therefore, we want x as high as possible
y component: y
as y increases, so does the y component. this is because the y component is literally just y.
therefore, given these two, to maximize P, we want x and y to be as high as possible
in 0 ≤ x ≤ 4, the maximum of x is 4
in -1 ≤ y ≤ 5, the maximum of y is 5
plug these in to get
3(4) + 5 = 17 as our answer
Answer:
17
Step-by-step explanation:
ebrant spends $76 in a gift shop. This is 80% of the money he planned to
spend in the gift shop. How much money, in dollars, did Mr. Hildebrant plan to
spend in the gift shop?
Answer:
Mr. Hildebrant planned to spend $95 in the gift shop.
Step-by-step explanation:
We want to find 80% of $? equals $76.
We can write an equation to help us solve for x, the money that Mr. Hildebrant planned to spend in the gift shop.
.80x = 76Divide both sides of the equation by .80.
x = 95Mr. Hildebrant planned to spend $95 in the gift shop.
15) A, B, C, D, E and F are towns situated as follows. * A is 30 km east of D * C is 20 km east of E * F is 10 km west of B * D is 10 km south of F * A is 10 km north of C How far would you need to travel to get from B to E?
Answer:
Option D: 20km South
Step-by-step explanation:
Lets say A = (0, 0)
Finding B:A is 30km East of D which makes D = (-30, 0)
D is 10km South of F which makes F = (-30, 10)
F is 10km West of B which makes B = (-20, 10)
Finding E:A is 10km North of C which makes C = (0, -10)
C is 20km East of E which makes E = (-20, -10)
Finding the answer:Find distance from B = (-20, 10) to E = (-20, -10)
1. Cancel equivalent values:
x of B = (-20) and x of E = (-20)
Remove x from equation.
2. Solve for answer:
B = 10 and E = (-10)
Find the difference: (-10) - 10 = (-20)
Conclusion:
South translates to negative on a graph making the answer 20km South
Hope this helped :)
Suzie went to the carnival and spent $2.85 on a lemonade and $3.25 on a hot dog. How much money did Suzie spend in total? (3 points)
a
$6.10
b
$6.50
c
$6.85
d
$7.10
Answer:
the answer is A: 6.10
Step-by-step explanation:
well, to find the total money you add the two amounts which are $2.85+$3.25 which will add up to $6.10.
Given f(x)=4x - 7 8x +8
what is the end behavior of the function?
The end behavior of the function f(x) describes the behavior of the function as x approaches the +∞ f(x) approaches to 1/2 and the x approaches the -∞ f(x) approaches to 1/2.
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
[tex]\rm f(x) = \dfrac{4x-7}{8x+8}[/tex]
For the end behavior:
As x → ∞ f(x) → 1/2
And x → -∞ f(x) → 1/2
Thus, the end behavior of the function f(x) describes the behavior of the function as x approaches the +∞ f(x) approaches to 1/2 and the x approaches the -∞ f(x) approaches to 1/2.
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Answer: As x increases to negative infinity, f(x) increases to 0.5; as x increases to infinity, f(x) increases to 0.5.
Proof of validity is shown below.
Enter the values needed to find the
length AB. (Simplify your answer.)
A(-3a, b)
B(3a b)
AB = V([?D2 + (0)2
Cra, 5b)
Distance Formula
Pleases help
The value that can take the place of "?" is -6a. The length of line AB is 6a units.
What is the length of any line on the graph?The distance or length of any line on the graph,
[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
where,
d = distance/length of the line between point 1 and 2,
(x₁ , y₁) = coordinate of point 1,
(x₂ , y₂) = coordinate of point 2,
The length of a line with two points known is written as,
[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Given the coordinate of points A and B are (-3a,b) and (-3a,b), respectively. Therefore, the length of the line AB can be written as,
[tex]AB = \sqrt{(-3a-3a)^2+(b-b)^2}\\\\AB = \sqrt{(-6a)^2+(0)^2}\\\\AB = 6a[/tex]
Hence, the length of line AB is 6a units.
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A. 3.667 inches
B. 5.333 inches
C. 8.125 inches
D. 8.333 inches
A grocery store chain surveys customers on their shopping habits. One question in the survey asks for monthly grocery expense. Another question asks for the number of children in the family.
To compare the monthly grocery expense based on family size, the results are split into two categories:
Families with up to 2 children.
Families with 3 or more children.
The box plots for each category are shown.
image 47edc356579240329edef378a3e37bd0
Which statement is BEST supported by the box plots?
A
The grocery expense for the category of "0-2 Children" is more spread out than the other category. This is most likely due to the median being much lower for the "0-2 Children" category than for the other category.
B
The grocery expense for the category of "3 or More Children" is more spread out than the other category. This is most likely due to families in the "0-2 Children" category having more outlier results.
C
The grocery expense for the category of "0-2 Children" is more spread out than the other category. This is most likely due to the minimum and maximum being closer together in the "0-2 Children" category.
D
The grocery expense for the category of "3 or More Children" is more spread out than the other category. This is most likely due to families in the "3 or More Children category" having more outlier results.
The statement supported by the box plot is D. The grocery expense for the category of "3 or more children" is more spread out than the other category.
What is a box plot?A box plot simply means a standardized way that's used in displaying the dataset.
In this case, the grocery expense for the category of "3 or more children" is more spread out than the other category.
The reason for the above is because the families in the "3 or more children category" having more outlier results.
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Which number can both 6 and 12 be evenly divided by?
A. 2
B. 3
C. 4
D. 6
E. 8
F. 12
Answer:
by 3
Step-by-step explanation:
cuz 2x3=6 right so in the other 3x4=12 so is that good for you :D
The purchasing habits of 1,000 grocery shoppers are noted. No associalion is found between the variables. Fill in the empty portion of the table with values that would support this claim. Explain reasoning.
Here is the completed table that shows the purchasing habits of 1000 grocery shoppers :
bought milk bought no milk Total
bought eggs 422 228 650
bought no eggs 150 200 350
Total 572 428 1000
What is a two-way frequency table?A two-way frequency table is used to display data on the frequencies for two categorical variables.
The total number of people who bought eggs = 422 + 228 = 650
The total number of people who bought no eggs = 1000 - 650 = 350
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Use the digits 1-9 at lost one time each to make the equation true and give the solution.
Please help soon!!
hi what is pi and why do we need pi and math
Answer:
Pi is used to find the area and circumference of a circle. Pi can be used to find an area by multiplying the radius of the circle squared times pi.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Add the quotient of 120 and 3 to the product of 15 and 10.
Answer:
190
Step-by-step explanation:
quotient: 120/3=40
product: 15*10=150
adding them:150+40=190
Answer:
190
Step-by-step explanation:
quotient: 120/3=40
product: 15*10=150
adding them:150+40=190
Find the least positive integer value of p for which the line y = px -2 will meet the curve 4(y - 3) = x².
find m< A
inscribed angles and arcs
Answer: 115 degrees
Step-by-step explanation:
Barbara bought a notebook for $1.40 using 35% of the money she had. How much money did she start with?
Answer:
$4
Step-by-step explanation:
$1.40 is 35% of the money she started with.
The money she started with is 100 * 1.40/35 which is $4.
Answer:
$4
Step-by-step explanation:
[tex]\frac{1.40}{x} =\frac{35}{100}[/tex]
1.40 * 100 = 140
35 * x = 35x
140/35 = 4 (x gets canceled out)
is 2.67034165508… rational or unrational?
Find the area of the kite?
Triangle H N K is shown. Angle H N K is 90 degrees. The length of hypotenuse H K is n, the length of H N is 20, and the length of N K is 9.
Law of cosines: a2 = b2 + c2 – 2bccos(A)
What is the value of n to the nearest whole number?
18
22
29
41
Answer:
B just took the test
Step-by-step explanation:
have a good rest of your day
A cereal box is 9 1/2 inches long, 3 1/2 inches wide, and 12 inches high. What is the volume of the box?
Please help with math problem?
Answer:
KM=41.6
Step-by-step explanation:
[tex]\frac{HJ}{IJ} =\frac{KM}{ML} \\\frac{8}{6} =\frac{KM}{31.2} \\[/tex]
Cross Multiply and Solve for KM.
[tex]6*KM=8*31.2\\KM=\frac{8*31.2}{6} \\KM=41.6[/tex]
Find one value of x that is a solution to the equation:
(x^2-6)^2=-3x^2+18
x=
Answer:
Step-by-step explanation:
find the surface area 10.2 mi 14 mi
Answer:
The surface area = 320.442450666159 mi²Step-by-step explanation:
Formula : ( surface area of a cone )_________________________
The total surface area = The curved surface area + area of the base
____________________________________________________
→The curved surface area = π × r × g = π × r × (√(h2 + r2))
where g is the slant height of the cone and r is the radius of the base
and h is the height of the cone
and g = √(h2 + r2)
→Area of the base = π × r²
We get :
The curved surface area = π × r × (√(h2 + r2))
= π × 5.1 × √(14^2+(5.1)^2)
= 238.729625746288
Area of the base = π × r²
= π × (5.1)^2
= 81.712824919871
Conclusion:
The total surface area = The curved surface area + area of the base
= 238.729625746288 + 81.712824919871
= 320.442450666159
which of the following is written in scientific notation? A. 82,000,00 B. (6.3) (10^6) C. (2874) (10^6) D. (648.5) (10^6)
Answer:
the answer is the C
Step-by-step explanation:
What is the contrapositive of the following statement?
If M is the midpoint of PQ , then PM is congruent to QM .
Answer:
If PM is not congruent to QM then M is not the midpoint of PQ.
Step-by-step explanation:
The contrapositive is written as If not the conclusion then not the hupothesis.
M is the midpoint of PQ is the hypothesis (the statement after "If").
PM is congruent to QM (the statement after "then").
1882-9937?
Please help I'm not smart and may I have a friend? ill give brainliest :)
Step-by-step explanation:
1882 - 9937
the easiest way to do it is to turn it around :
9937 - 1882
= 8055
then you add a subtraction sign at the back
= - 8055
how do you balance ___NaBr + ___Ca--> CaBr2 + Na
Step-by-step explanation:
NaBr 2 102.89
Ca 1 40.08
CaBr2 1 199.89
Na 2 22.99
A teacher has two large containers, A and B, filled with blue, red, and green beads. She wants her students to
estimate the difference (A - B) in the proportion of red beads in each container.
What is the appropriate inference procedure?
• two sample t-test for Ua - Ub
• two sample t-interval for Ua - Ub
• two sample z-test for Pa - Pb
• two sample z-interval for Pa - Pb
Answer:c
Step-by-step explanation:
edge
Write the expression. Then, check all that apply. twice the difference of a number and six A 2-column table with 4 rows. Column 1 is labeled Key Words with entries twice, the difference of, a number, six. Column 2 is labeled Replace with entries 2 times, (minus), n, 6. Replace “a number” with the variable, n. The two operations are multiplication and addition. The two operations are multiplication and subtraction. The constants are 2 and 6. The expression is written as 2(n – 6). The expression is written as 2 × 6 – n.
The expression is 2(n-6), and in these two operations are
multiplication and subtraction with two constants 2, and 6.
What is an arithmetic operation?Arithmetic is an area of mathematics involving the study of numbers and the different operations that can be performed on them. Addition, subtraction, multiplication, and division are the four basic math operations.
We have:
Twice the difference between a number and six
Let's suppose the number is n, then the expression becomes:
= 2(n-6)
The true statements are:
The two operations are multiplication and subtraction.The constants are 2 and 6. The expression is written as 2(n – 6)Thus, the expression is 2(n-6), and in these two operations are
multiplication and subtraction with two constants 2, and 6.
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Answer:
-Replace “a number” with the variable, n
-The two operations are multiplication and subtraction
-The constants are 2 and 6.
-The expression is written as 2(n – 6).
Step-by-step explanation:
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