Answers
Related Questions
Ms.jones has a decorative pyramid that sits on her fireplace mantle .the base is an equilateral triangle with an area of 6 square inches. The height of the pyramid is 15 inches. What is the volume?
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.. V = (1/3)Bh
Fill in the given values and do the arithmetic.
.. V = (1/3)(6 in^2)*(15 in)
.. V = 30 in^3
The volume is 30 cubic inches.
Final answer:
To find the volume of Ms. Jones's pyramid with an equilateral triangle base area of 6 square inches and a height of 15 inches, we use the volume formula for a pyramid, V = [tex]\frac{1}{3}[/tex] × base area × height, resulting in a volume of 30 cubic inches.
Explanation:
To calculate the volume of the pyramid, we use the formula for the volume of a pyramid which is V = [tex]\frac{1}{3}[/tex] × base area × height. The base of Ms. Jones's decorative pyramid is an equilateral triangle with an area of 6 square inches, and the pyramid's height is 15 inches. First, we need to find the volume using the given base area and height.
Substituting the values into the formula, we get:
V = [tex]\frac{1}{3}[/tex] × 6 in² × 15 in
V = 2 in² × 15 in
V = 30 in³
Therefore, the volume of Ms. Jones's pyramid is 30 cubic inches.
A pack of six cans of coffee cost 12$ . How much would 15 cans of coffee cost
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The cost for 15 cans of coffee is found by first determining the cost per single can, which is $2, and then multiplying this cost by the number of cans, resulting in a total of $30 for 15 cans.
To calculate the cost of 15 cans of coffee when a pack of six cans costs $12, we first need to find the cost of a single can. To do this, we divide the cost of the pack by the number of cans in the pack:
Cost per can = Total cost of the pack / Number of cans in the pack
Cost per can = $12 / 6 = $2
Now that we know the cost of one can, we can calculate the cost for 15 cans:
Total cost for 15 cans = Cost per can * Number of cans
Total cost for 15 cans = $2 * 15 = $30
A card is drawn at random from a well-shuffled deck of 52 cards. what is the probability of drawing a face card or a 6?
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n(S) = 52
P(E)=n(E)/n(S)
=16/52
=4/13
Write the following statement as an equation and solve. Jake Drewrey, owner of Jake's Landscape Service, knows that one of his fertilizer tanks holds four times as many gallons of liquid fertilizer as a second tank. The two tanks together hold 286 gal. If both tanks are filled to capacity, how many gallons of fertilizer does each tank hold?
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Final answer:
The equation is : x + 4x = 286, where x represents the smaller tank's capacity.
Explanation:
To write the statement as an equation and solve it, let's denote the smaller tank's capacity as x gallons. Therefore, the larger tank would be 4x gallons because it holds four times as much. The problem states that together they hold 286 gallons, which gives us the equation:
x + 4x = 286
Combining like terms, we get 5x = 286. Dividing both sides of the equation by 5 to solve for x, we find:
x = 286 / 5
x = 57.2
Therefore, the smaller tank holds 57.2 gallons, and the larger tank holds 4 times that amount, which is 57.2 * 4 = 228.8 gallons.
Choose the graph of y = four thirdscosthree halvesx
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y = (4/3)* cos (3/2)x----------> y = (4/3)* cos (1.5x)
using a graph tool
the answer
see the attached figure
Anthony wants to buy the same number of hats for 6 of his friends. He has $108 dollars, and each hat cost $8. what is the largest number of hats that Anthony buys for each of his friends?
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13.5 Divided by 6= 2.25
So 2 Hats Each.
What is the volume of this triangular pyramid?
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.. = 12 m^3
Select two fractions that can be written with a denominator of 24.
What answer is it.
1/6 1/5 5/7 9/10 1/9 7/8
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Give a big-o estimate for the number of operations (where an operation is an addition or a multiplication) used in this segment of an algorithm. t := 0 for i := 1to3 for j := 1to4 t := t + ij
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So there are 3*4=12 executions of t:=t+ij.
Assuming two operatiions per execution of the innermost loop, (i.e. ignoring the implied additions in increment of subscripts), we have 12*2=24 operations in all.
Here the number of operations (+ or *) is exactly known (=24).
Big-O estimates are used for cases with a varying scale of operations, governed by a variable (usually n) to indicate the sensitivity of the number of operations relative to a change in the size of n.
Here we do not have a scale, nor n is defined. The number of operations is constant and known at 24. So a variable is required to find the big-O estimate.
Certain kinds of goods tend to have inelastic demand; a good usually has inelastic demand if what?
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because the price fluctuations do not affect the quantity sold.
a good example of that would be milk, if the milk gallon is say $8, and a family needs 1 gallon daily, they buy it for $8.
if the price drops to $7, they might buy 2, but they only need 1 everyday, just in case they may get another.
if the price drops to $4 or even $3, they're not going to get 10 gallons, there's no need for it on an everyday basis, besides is a perishable.
now if the price goes up to $12, they still need it, and will buy it for $12.
Find the general solution of the differential equation x^2y′′+xy′−y=2x for x>0 by first showing that the function yp=−12x+x ln(x)is a particular solution for the differential equation.
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Please the question is on the picture
Halves of the following
12
10
13
15
8
5
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Half of 12 is ____
is a different question than
12 is ____ halves
When you say, "Halves of 12, 10, ..." it looks like you're asking the first version.
One of something is 2 halves. That is, the number of halves is exactly two times the number of "somethings." Hopefully, you can multiply each of these numbers by 2.
12*2 = 24
10*2 = 10
13*2 = 26
15*2 = 30
8*2 = 16
5*2 = 10
IMPORTANT
[how do you]Find sin theta if tan theta = 3/4
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bear in mind that, though the square has two valid roots, one negative and one positive, the hypotenuse is just a radius distance, and therefore is never negative.
You run around the perimeter of a baseball field at a rate of at least 11 feet per second. Which of the following are possible amounts of time that it takes you to run around the baseball field?
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perimeter of the baseball field=2(radius)+lenght of a semicircle.
2(radius)=2(175 ft)=350 ftlenght of a semicircle=40% of a circumference=(40/100)(2πr)
Perimeter of the baseball field=2(175 ft) + (40/100)(2π175 ft)==350 ft + 140π ft=350 ft + 439.82 ft=789.82 ft,
2)Now, we calculate the amounts of time that it takes you to ruan arount the baseball field.
10 ft------------------------1 second789,82 ft----------------- x
x=(789.82 ft * 1 second) / 10 ft=78.98 s≈79 s
Answer: 79 seconds.
PLEASE MARK ME AS THE BRAINLEIST
The correct answer for your question is 79 seconds.
Find the points on the curve y = 2x3 + 3x2 − 12x + 1 where the tangent line is horizontal. (x, y) = (smaller x-value) (x, y) = (larger x-value)
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First, differentiate y.
[tex]y'=6x^2+6x-12[/tex]
Next, find the zeros of y' by factoring.
[tex]6(x^2+x-2)=0 \\ x = -2, x = 1[/tex]
Now, we substitute these x-values into the original equation to find the coordinates.
[tex](-2,21), (1,-6)[/tex]
Please help ASAP plz it due tomorrow
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1. Rule for the sum of interior angles is: S=180°(n-2), where n - numbers of sides of n-gon.
2. using the formula shown above:
7 - 180*11=1980
8 - 180*16=2880
9 - 180*30=5400°
10 - 180*33=5940
11 - 180*5=900
12 - 180*24=4320
13 - 180*8=1440°
14 - 180*21=3780
At middle ave school 1/3 of the students are on the track team.the track coach offered to buy a pizza or subs for everyone on the team.of the students for whom the coach bought good 3/5 ordered pizza.what fraction of the students at middle ave school atenpizza
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Final answer:
To determine how many students at Middle Ave School ate pizza, multiply the fraction on the track team (1/3) by those who ordered pizza (3/5), which equals 3/15 or simplified to 1/5 of the students.
Explanation:
To find out what fraction of the students at Middle Ave School ate pizza, you need to multiply the fractions that represent the students on the track team and those who ordered pizza. Initially, we know that 1/3 of the students are on the track team. Of these students, 3/5 ordered pizza. Multiplying these two fractions gives us the fraction of the entire student body that ordered pizza.
To multiply fractions, you multiply the numerators together and then the denominators together. So, for this problem, you'd multiply 1 by 3 to get the numerator, and then 3 by 5 to get the denominator:
1/3 * 3/5 = 3/15
But 3/15 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 3:
3/15 = 1/5
Therefore, 1/5 of the students at Middle Ave School ate pizza.
The data in the table illustrate a linear function x -3, 0, 3, 6 y -6, -2, 2, 6 what is the slope of the linear function?
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Answer:
[tex]slope=\dfrac{4}{3}[/tex]
Step-by-step explanation:
Given: The table of linear function.
x : -3 , 0 , 3, 6
y : -6 , -2 , 2, 6
Slope=change in y over change in x
[tex]slope=\dfrac{-2+6}{0+3}=\dfrac{4}{3}[/tex]
Passing point: (0,-2)
Point slope form:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y+2=\dfrac{4}{3}(x-0)[/tex]
[tex]y=\dfrac{4}{3}x-2[/tex]
Slope of the linear function [tex]=\dfrac{4}{3}[/tex]
Linear function is [tex]y=\dfrac{4}{3}x-2[/tex]
Hence, The slope of linear function is [tex]\dfrac{4}{3}[/tex]
For Anya's birthday her father gave out colorful birthday hats that were cone shaped. The opening of the bottom of the hat was 3 cm and the height of the cone was 7 cm. Anya fills her hat with candy. What is the exact volume of candy?
J. 65.97 cubic centimeters
K. 20.36 cubic centimeters
L. 16.49 cubic centimeters
M. 56.48 cubic centimeters
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V = (1/3) pi * r^2 h
pi = 3.14
d = 3 cm. (very small)
r = d/2 = 3/2 = 1.5 cm
h = 7 cm
V= (1/3) 3.14 * 1.5^2 * 7
V = 1.04 * 1.5^2 * 7
V = 16.485 cm^3
L <<<<==== answer.
Answer:
Step-by-step explanation:
For the florist problem you would do 6 assistance
Giving brainiest with legit answer is my answers correct?
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The sales tax on a $45 DVD player is $3.38. What is the sales tax rate to the nearest tenth of a percent?
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If mc019-1.jpg and n(x) = x – 3, which function has the same domain as mc019-2.jpg?
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This means
(x-3) + 5 x+2
m(n(x)) = ------------- = --------
(x-3) -1 x-4
The domain of this function is all real numbers - {4}
The function with the same domain is h(x) = 11/x-4
Answer:
It's C to save you time.
Step-by-step explanation:
subtract 1/4 from 7/8
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I hope this helps have a nice day!
7/8 - 1/4
rewrite 1/4 with the same denominator as 7/8
1/4 = 2/8
now you have 7/8 - 2/8 = 5/8
answer is 5/8
What is the period of the function y = 3 csc x?
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The period of the function is 2π.
What is period of the function?The time interval between two waves is known as a Period whereas a function that repeats its values at regular intervals or periods is known as a Periodic Function.
Given:
y = 3 csc x
As, csc(x) carry the reciprocal identity of sin(x).
So, they both have the same period
The period of sin(x) is 2π.
Hence, the period of csc(x) is 2π.
Learn more about period of function here:
https://brainly.com/question/14325171
#SPJ2
Reduce the following fraction -32abc/64a^2bc^3
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-1/(2ac^2)
Tony is building a dog house, and the front view of the roof is shown below
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Answer:
The height is 21 inches.
Step-by-step explanation:
We can find the height by using Pythagoras theorem.
As we know it is an isosceles triangle. So, the base can be divided equally in 2 parts for both triangles.
So, we can take the hypotenuse as 29 inches and base as 20 inches.
Now applying Pythagoras theorem, we get;
[tex]29^{2} =20^{2} +x^{2}[/tex]
[tex]841=400+x^{2}[/tex]
=>[tex]841-400=x^{2}[/tex]
=>[tex]x^{2} =441[/tex]
[tex]x=\sqrt{441}[/tex]
x=[tex]\sqrt{3*7*3*7}[/tex]
=> [tex]x=21[/tex]
Hence, the height is 21 inches.
What are the roots of the polynomial equation x^4 + x^2 = 4x^3 -12x +12 ? Use a graphing calculator and a system of equations. Round noninteger roots to the nearest hundredth.
A)–12
B) –2.73, 2.73
C) –1.73, 1.73
D) 12
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Answer : option C
Explanation:
there will be 4 roots for the given polynomial but in graph you will see 3 points because (2,0) is repeating two times
we can see the root graphically
the points that intersect x-axis are the roots
Here, x-axis is cut at 3 points so, these points will be the root of given polynomial.
please see the attached graph
A recycling box holds 151,875 cm3 of material and has a square base with sides measuring 45 cm. What is the height of the recycling box? a. 33.8 cm b. 75 cm c. 1687.5 cm d. 3375 cm
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Then the height of the box is 151 875 / 2025 = 75 cm
NEED HELP NOW!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
For a game, Tony has a rectangle drawn on a piece of paper that has an area of 18 in.2. What should he do to the dimensions in order to have a similar rectangle that's area is only 2 in.2?
Divide them by nine.
Divide them by six.
Divide them by three.
multiply them by three.
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Answer:
Area of Original rectangle = 18 in²→→Pre image
Area of Rectangle after Dilation =2 in²→→Image
As, Pre image and image will be similar to each other.
And size of rectangle that is image is [tex]\frac{2}{18}=\frac{1}{9}[/tex] of the Original rectangle called Pre image.
So, option A, Divide the area of original rectangle by 9, that is dilation factor of [tex]\frac{1}{9}[/tex] has taken place.
Divide them by nine.
write the standard form of the line that contains a slope of -3/8 and passes through the point (5,-4)