Answer:
P(7,4)= 840
Step-by-step explanation:
A frozen yogurt shop offers frozen yogurt in the sizes shown.
The cost per cubic inch is $0.10 for each container’s contents. What is the difference between the costs of yogurt in the two containers if each is filled with yogurt? Round to the nearest cent.
Cost of the yogurt in cylinder: $
____
Cost of the yogurt in cone:$
____
Difference in cost:$
____
The cost for the cylindrical container will be $2.8 and for the conical container, $0.94 and the difference is $1.86
What is volume?Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like radius length in the case of cylinders and cones.
Given that:-
The cost per cubic inch is $0.10 for each container’s contentsThe volume of a cylinder:-
V = πr²h
V = π x (1.5)² x 4 = 28.27 cubic inches
So the cost will be = 28.27 x 0.10 = $2.8
The volume of the cone:-
V = (1 / 3 ) πr²h
V = (1 / 3 ) π x ( 1.5 )² x 4 = 9.42 cubic inches
The cost will be = 9.42 x 0.10 = $0.94
The difference between the two costs will be:-
= $ 2.8 - $0.94
= $1.86
Therefore the cost for the cylindrical container will be $2.8 and for the conical container, $0.94 and the difference is $1.86
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Answer: cost for the yogurt cylinder 2.83 cost of the yogurt cone 0.94 different cost 1.89
Step-by-step explanation:
use formula to find the volume
then multply both 0.10
round to the nearest hundredth
then subtract
From his eye, which stands 1.64 meters above the ground, Keshawn measures the angle of elevation to the top of a prominent skyscraper to be 33 degrees. If he is standing at a horizontal distance of 385 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.
The height of the scyscraper will be equal to H=251.66 meters
What is trigonometry?The branch of mathematics set up a relatioship between the angle and the sides of the right angle triangle is called as trigonometry.
Here we have the following data:-
The height of the observer's eye=1.63 meters
The angle which eye is making withe the building=33
The horizontal distance = 385 meters
So the height of the building is calculated as:-
[tex]Tan\theta=\dfrac{P}{B}\\\\\\tan\theta=\dfrac{H-1.64}{385}\\\\ \\\\tan33=\dfrac{H-1.64}{385}\\\\\\\\[/tex]
H=251.66 meters
hence height of the scyscraper will be equal to [tex]H=251.66\ meters[/tex]
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Answer:251.7
Step-by-step explanation:
Which expression has a value of 80?
Type each expression into your calculator. You should find that
[tex](5+3)^2 + 32 \div 2 = 8^2 + 16 = 64 + 16 = 80[/tex]
Showing that choice D is the answer.
Grogg typed the following $1000$ expressions into his calculator, one by one: \[\sqrt{1}, \sqrt{2}, \sqrt{3}, \sqrt{4}, \dots, \sqrt{999}, \sqrt{1000}. \]how many times will grogg's result be an integer?
Since 30² = 900 and 40² = 1600, between 30 and 40 of the numbers Grogg enters will reduce to integers. Now just find which count is correct. We don't have to look far:
31² = 961
32² = 1024
so there 31 of the outputs of √1, √2, √3, ..., √1000 are integers.
Grogg will result to integers with 31 outputs from √1, √2, √3, ..., √1000 .
What are integers?An integer serves as the whole number which can be a positive or negative numbers , such as 6, 9, but it cannot be a fraction.
since, she is starting from √1, √2, √3, up to √1000 , then we know that
31² = 961, then we can find the correct count which is 31. so if she is to input those number into square root one after the other , she will have 31 count.
Therefore, Grogg will result to integers with 31 outputs from √1, √2, √3, ..., √1000 .
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8.EE.1.2
Which expressions have a value that is between 9 and 10. Select all that apply.
A.) √80
B.) √89
C.) √101
D.) 3 √725
E.) 3 √750
F.) 3 √999
G.) 3 √1010
Considering that the square root of 9 is of 81 and of 10 is of 100, we have that the expression that has a value between 9 and 10 is given by:
B.) √89
E.) [tex]\sqrt[3]{750}[/tex]
F.) [tex]\sqrt[3]{999}[/tex]
How the square root of a number is used to solve this question?We suppose numbers n and m, with square roots given, respectively, by n² and m².
Then, the square roots of all numbers between n² and m² have values between n and m.
In this problem, the square roots are given by:
9² = 81.10² = 100.Hence, the square root of all values between 82 and 99 are values between 9 and 10, thus option B is correct.
As for the cubic root, we apply the same logic and have that:
9³ = 729.10³ = 1000.Hence options E and F are also correct, as the values between 730 and 999 have cubic roots between 9 and 10.
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Please! Help
John is collecting data on the number of spots on ladybugs. He records it in this table.
2 7
5 4
3 3
5 5
6 5
The mean of the data is , and the median is .
Answer:
the mean is 4.5
the median is 5
Step-by-step explanation:
How many differnt flags with 3 stripes are possible, using the colours red (R), blue (B) and yellow (Y)? Each colour can be used obly once in each flag.
Answer:
6
Step-by-step explanation:
3 x 2 x 1
first strip you can have 3 options
second only 2 options left
last one, only 1 choice
RBY
RYB
BRY
BYR
YRB
YBR
Answer:
6 flags
Step-by-step explanation:
The flag must have stripes of 3 different colors.
Ways to arrange each stripe :
Stripe 1 = 3Stripe 2 = 3 - 1 = 2Stripe 3 = 1Stripe 1 x Stripe 2 x Stripe 3
3 x 2 x 16 flagsWhat is the scale factor?
Answer:
This is correct answer if it help you please remember me in your pary thanks
A basketball player shoots the ball with an initial velocity of 15.8 ft./sec. at an angle of 43.8° with the horizontal. To the nearest tenth, find the initial horizontal component of the vector that represents the velocity of the ball.
A) 4.4 ft./sec.
B) 10.9 ft./sec.
C) 11.4 ft./sec.
D) 15.2 ft./sec.
The initial horizontal component of the vector which represents the velocity of the ball is; Choice C; 11.4 ft./sec.
What is the horizontal component of the ball's velocity?It follows from the task content that the velocity vector of the ball has magnitude 15.8 ft./sec. and is at an angle of 43.8° with the horizontal.
On this note, it follows from vector resolution that the horizontal component of the ball's velocity is;
V(x) = V cos 43.8⁰
V(x) = 11.4 ft./sec.
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someone help me please help please please help me asap
Answer:
50%
Step-by-step explanation:
The given word :
E A C H
There are 2 vowels.
Probability (vowel) = No. of vowels / Total lettersP (vowel) = 2 / 4P (vowel) = 1/2 = 0.5P (vowel) = 50%helpppppppppppppppppppp
Answer:
see explanation
Step-by-step explanation:
under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
(- 4, - 7 ) → (4, - 7 )
Describe the graph that is produced by the equation (x - 7)2 + (y + 5)2 > 25.
The conic represented by the equation is a(n)
The solution set is
v include the boundary.
The conic section which is represented by the equation is a circle. The solution set of this equation are (7.0),(2.-5),(7.-10),(12.-5).
What is the equation of circle?The equation of the circle is the equation which is used to represent the circle in the algebraic equation form, with the value of center point in the coordinate plane and measure of radius.
The standard form of the equation of the circle can be given as,
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Here (h,k) is the center of the circle and (r) is the radius of the circle.
The given inequality equation is,
[tex](x - 7)^2 + (y + 5)^2 > 25\\(x - 7)^2 + (y + 5)^2 > 5^2[/tex]
This equation is similar to the equation of circle. Thus, the conic represented by the equation is a circle. The center and radius of this circle is,
[tex](h,k)=(7,-5)\\r=5[/tex]
The solution set of this circle is the all the point which lies on this circle. In the attached graph, the solution set is shown which are (7.0),(2.-5),(7.-10),(12.-5).
Thus, the conic section which is represented by the equation is a circle. The solution set of this equation are (7.0),(2.-5),(7.-10),(12.-5).
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Answer:
A circle with a center (7,–5) and d unbounded and does not
Step-by-step explanation:
The conic represented by the equation is a(n)
✔ circle with a center (7,–5)
.
The solution set is
✔ unbounded and does not
include the boundary.
Question 4 of 10
Which of the following is the equation of a line in slope-intercept form for a
a
line with slope = 2/3 and yintercept at (0, -2)?
Answer:
A is in line with slope =2/3 and yintercept at (0,-2)
I currently have a 32% in Math, but assuming I got a 95 on the test we took, what would be my grade?
Answer:
Congratulations you have an A on your test!!!!
Step-by-step explanation: The grade scale :)
A+ 97-100 4.0
A 93-96 4.0
A- 90-92 3.7
B+ 87-89 3.3
B 83-86 3.0
B- 80-82 2.7
C+ 77-79 2.3
C 73-76 2.0
C- 70-72 1.7
D+ 67-69 1.3
D 65-66 1.0
E/F Below 65 0.0
braden scored 9 fewer points on his math test than ava did if ava scored an 86 what was bradens score
Subtract 9 from 86
86 - 9 = 77
Answer : Braden’s score was 77
someome help me plsssssssssssssssssss
need help with this one if someone doesnt mind helping. thank you!
Answer:
wdymm?
Step-by-step explanation:
how do i Solve the inequality:
n/3>1
Answer:
n>3
Step-by-step explanation:
n/3>1
3(n/3)>1(3)
n>3
A 15 oz can of green beans usually costs $0.99. This week, a supermarket chain is advertising 2 cans for $1.70. Is this a bargain? Show your work and explain why or why not it will save money and by how much ?
Answer:
It is a bargain because 0.99 + 0.99 = 1.98 which is more than 1.70. You would be paying less with this deal. It will save you 28 cents
Step-by-step explanation:
what is 100x3856+284 dived by 6 x384
Answer:
179 R 1584
Part 16 × 384
6 × 4 = 24(carry the 2)
6 × 8 + 2 = 50(carry the 5)
6 × 3 + 5 = 23
Put it all together into one number
23 + 0 + 4 = 2,304
Part 23,856 + 284
6 does not add to 4 so it's 0
5 + 8 = 14(carry the 1 and add 1)
8 cannot add onto 2 so use the one you borrowed and carry. = 1
3 + 1 = 4
Put it together
4 + 1 + 4 + 0 = 4,140
Part 3414,000
Simply add the two 0's in 100 to 4,140
Part 4414,000 ÷ 2,304
Turn 4,140 into the thousands place temporarily.
4140
-2304
=1,836
Drop 0 to the result
18360
-16128
=2,232
Drop 0 again
22320
-20736
=1,584
Finally, you have a result.
179, Remainder 1584
Please help with math questions.
What is the surface area of the cylinder with height 3 mi and radius 8mil? Round your answer to the nearest thousandth
Answer:
553.143 mi²
Step-by-step explanation:
Surface Area (Cylinder) :
2πr (r + h)2 x 22/7 x 8 (8 + 3)16 x 22/7 x 11176 x 22/73872/7553.143 mi²Answer:
What is the surface area of the cylinder with height 3 mi and radius 8mil? Round your answer to the nearest thousandth
Step-by-step explanation:
SOLUTION
HEIGHT -3
RADIUS - 8
AREA - 2πr ( r+h)
[tex] 2 \times \frac{22}{7} \times 8(8 + 3) \\ \\16 \times \frac{22}{7} \times 11 \\ \\ 176 \times \frac{22}{7} \\ \\ \frac{3872}{7} \\ = 553.143[/tex]
suppose the ratio of chocolate cupcakes to vanilla cupcakes baked today how many were chocolate and how many were vanilla 30 POINTS
Answer:
Ratio Needed
Step-by-step explanation:
In order to solve this problem, we need the ratio. Please give me the ratio, so that I can help you ASAP. Thanks!
Sadida needed to reorder shirts for her clothing store. She ordered 63 medium shirts and 27 large shirts. What was the ratio of medium to large shirts.
Step-by-step explanation:
the ratio medium to large was
63/27 = 7/3
QUICK PLEASE HELP!FOR 30 POINTS TY Marisol drives 14 miles to a movie theater. She stops after 6.5 miles to pick up
at her house. Then she continues to drive to the movie theater. Marisol wants to know the
distance she and Alicia travel together.
Let y be the distance in miles from Alicia's house to the movie theater.
»Which equations can you solve to find the value of y?
Choose ALL that apply.
y=14-6.5 y +6.5 = 14
O What is the distance from Alicia's house to the movie theater?
? miles
Answer:
equation 1, y = 14 - 6.5
From Alicia's house, the movie theater is 7.5 miles away
Step-by-step explanation:
the total miles is 14
Marisol already drove 6.5 so the remaining amount of miles to the movie theater is 14 - 6.45
Six years after a tree was planted, its height was 7 feet. Nine years after it was planted, its height was 16
feet. Which of the following equations gives the height y, in feet, of the tree after x years if the tree grows
at a constant rate? Check all of the boxes that apply.
y - 6 = 3(x – 10)
y- 16 = 3(x-9)
y = 3x - 11
y=-3x-23
D
DONE
Answer:
(b) y -16 = 3(x -9)(c) y = 3x -11Step-by-step explanation:
You are given a couple of points:
(years, heigh) = (6, 7) and (9, 16)
and asked to write a linear equation that they satisfy. In general, you need to find the slope using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (16 -7)/(9 -6) = 9/3 = 3
__
point-slope equationThe point-slope form of the equation for a line can be used with this information.
y -k = m(x -h) . . . . . . . . line with slope m through point (h, k)
Using the given points, you can write either of the equations ...
y -7 = 3(x -6) . . . . . using the first point
y -16 = 3(x -9) . . . . . using the second point. This matches choice B.
__
slope-intercept equationEither of the point-slope equations can be rearranged to give the slope-intercept equation.
y -16 = 3(x -9)
y = 3x -27 +16 . . . . eliminate parentheses, add 16
y = 3x -11 . . . . . This matches choice C.
__
Additional comment
The first choice has the right slope, but uses a point not on the line (10, 6).
The last choice has the wrong slope and the wrong y-intercept.
Two numbers have a sum of 23 and a difference of 5. What is the smaller of the two numbers.
Answer:
9Step-by-step explanation:
Two numbers have a sum of 23 and a difference of 5. What is the smaller of the two numbers.
x + y = 23
x - y = 5
(23 - 5) : 2 = 9
9 + 5 = 14
check
14 + 9 = 23
14 - 9 = 5
A represents Mr. Mole's altitude relative to the ground (in meters) after t
minutes.
A=-2.3t-7A=−2.3t−7A, equals, minus, 2, point, 3, t, minus, 7
How fast did Mr. Mole descend
Using the slope of the linear function, it is found that Mr. Mole descends 2.3 meters per minute.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, Mr. Mole's altitude in meters after t minutes is given by:
A = -2.3t - 7.
The rate of change is the slope of m = -2.3, hence, Mr. Mole descends 2.3 meters per minute.
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5Look at the picture to the right.
Which relationships have the same constant of proportionality between y and x as in the equation?
Select all that apply
I know from the charts it's C but from the latest tables I don't know.
*Correct Question:
Which relationships have the same constant of proportionality between y and x as the equation 3y=27x?
Answer:
A, B, C
Step-by-step explanation:
Given that [tex]3y=27x[/tex], we can simplify to get a proportionality statement that exists between X and y. Thus
[tex]3y=27x[/tex]
Divide both sides by 3
[tex]\frac{3y}{3}=\frac{27x}{3}[/tex]
[tex]y=9x[/tex]
Thus, we can say, y would always be 9 times the quantity of x.
From the options given, examine which options have this proportionality statement as well.
Option A, y = 9x is same as the statement.
Option B, 2y = 18x, conforms to the same statement. If we simply further, we would have y = 9x
Option C, the graph shows that when x = 1, y = 9. This also confirms to the same constant of proportionality in the given equation.
Option D and E do not have same constant of proportionality.
The right options are A, B, and C.
A cylindrical can of cocoa has the dimensions shown at the right.
What is the approximate area available for the label?
9 2
Answer:
What are the dementions? 9 and 2?
That would be 9*3.14*4 = 133.04
~ 133.04 units cubed
Step-by-step explanation:
