Answer:
A. 904.3 cm³
Step-by-step explanation:
Radius of the ice cream cone (r) = 6 cm
Height of the ice cream cone (h) = 12 cm
Radius of the shape of hemisphere formed by the half scope of ice cream = 6 cm
Total volume of ice cream = volume of cone + volume of hemisphere
= \( (\frac{1}{3} \pi r^2 h) + (\frac{2}{3} \pi r^3) \)
Plug in the values
\( (\frac{1}{3} \times 3.14 \times 6^2 \times 12) + (\frac{2}{3} \times 3.14 \times 6^3) \)
\( (\frac{1}{3} \times 3.14 \times 36 \times 12) + (\frac{2}{3} \times 3.14 \times 216) \)
\( = (1 \times 3.14 \times 12 \times 12) + (2 \times 3.14 \times 72) \)
\( = (452.16) + (452.16) \)
Total volume of ice cream = 904.3 cm³ (nearest tenth)
I WILL GIVE BRAINLIEST Please answer fast please I will give brainliest
im sorry i do not know but heres a tip, if u want people to answer quick put a lotta points. they go crazy
Answer: number 1 is wrong number 2 is I think 4
number 4 is one-twelfth i think and number 3 is 2 i believe
Step-by-step explanation: sorry if I am wrong i'm in middle school
To mix his special energy drink, Jerome uses 8 cups of water and 3 cups of drink mix.
Twenty-two people are running in tomorrow's
Road race and Jerome thinks they will each want two cups of energy drink.
B) how much water and how much drink mix should Jerome use to make enough energy drink for all the runners?
Answer: He needs 32 cups of water and 12 cups of drink mix.
Step-by-step explanation: 8 cups + 3 cups = 11 cups
So we know that 8 cups of water + 3 cups of drink mix = 11 cups of 'special energy drink'. Now, Jerome assumes that each person wants 2 cups so we perform the following equation: 22 people x 2 cups = 44 cups. We know that 8 cups of water and 3 cups of drink mix is equal to 11 cups so we just divide: 44 cups/11 cups = 4. Now we need to multiply 8 and 3 by 4 because he needs 4 x 11 cups, that is why we need to multiply
each of the numbers that make up 11 by 4. 8 cups x 4 = 32 cups,
3 cups x 4 = 12 cups
Answer: He needs 32 cups of water and 12 cups of drink mix.
Step-by-step explanation:
What is 54 divided by 6,539 equal
Answer:
0.00825814344701024621501758678697
Step-by-step explanation:
Use a calculator please<3
A train traveled at the same speed for 9 hours. It went 320.55 miles in all. To the nearest hundredth of a mile per hour, how fast was the train going?
The train's speed was= 56.7 miles per hour
What is unitary method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units.Let's say you go to the store to buy six apples. You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples.Recognizing the units and values is crucial when using the unitary technique to a problem.Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things. We are aware of the quantity of apples and the amount of money in the aforesaid problem.acc to our question-
Entire distance = 210 miles + 130 miles = 340 milesTotal time = 3.5 hours and 2.5 hours = 6 hoursAverage speed = distance/ time = 340 miles/ 6 hours= 56.66666666666 miles per hourRounding to the nearest tenth= 56.7 miles per hourHence, The train's speed was= 56.7 miles per hour
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elena is selling advertisements. the dimensions for one page are 8 inches by 10 inches. she says that must mean that the dimensions of the small advertisement are 8 inches by 1 inch. is elena correct? show your work and explain how you know
Advertising is a form of marketing communication that aims to promote a product, service, idea, or brand to a target audience. Elena is incorrect in her assumption about the dimensions of the small advertisement.
Let me explain why.
The dimensions of the large advertisement are given as 8 inches by 10 inches. This means that the advertisement has a length of 8 inches and a width of 10 inches. Now, if we consider the small advertisement, Elena assumes that its dimensions are 8 inches by 1 inch. However, this assumption is incorrect. The dimensions of the small advertisement are not directly related to the dimensions of the large advertisement.
To find the dimensions of the small advertisement, we need additional information. Without any specific measurements or proportions given for the small advertisement, we cannot determine its dimensions.
Therefore, Elena's statement about the dimensions of the small advertisement being 8 inches by 1 inch is not supported by the given information. We cannot conclude anything about the dimensions of the small advertisement based solely on the dimensions of the large advertisement.
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Elena is not correct in her statement. Let's break it down step by step:
1. Elena is selling advertisements, and the dimensions for one page are given as 8 inches by 10 inches. This means that the page is 8 inches wide and 10 inches tall.
2. Elena assumes that the dimensions of the small advertisement are 8 inches by 1 inch. However, this assumption is incorrect. The dimensions of the small advertisement are not provided in the question.
3. To determine the dimensions of the small advertisement, we need more information. It could be any size as long as it fits within the dimensions of the larger page (8 inches by 10 inches). The width can be less than 8 inches, and the height can be less than 10 inches.
4. For example, the small advertisement could be 4 inches by 5 inches, or it could be 2 inches by 3 inches. As long as it fits within the dimensions of the larger page, the exact dimensions can vary.
In conclusion, Elena is not correct in assuming that the dimensions of the small advertisement are 8 inches by 1 inch. Without additional information, we cannot determine the exact dimensions of the small advertisement.
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Daily high temperatures in St. Louis for the last week were as follows: 92, 92, 93, 95, 95, 86, 95 (yesterday). a) The high temperature for today using a 3-day moving average =____ degrees (round your response to one decimal place).
The high temperature for today using a 3-day moving average is 92 degrees.
To calculate the high temperature for today using a 3-day moving average, we take the average of the temperatures from the past three days, including today.
Given the daily high temperatures in St. Louis for the last week:
92, 92, 93, 95, 95, 86, 95 (yesterday)
To find the 3-day moving average for today's high temperature, we consider the temperatures from yesterday, the day before yesterday, and three days ago.
(95 + 86 + 95) / 3 = 92
Therefore, the high temperature for today, calculated using a 3-day moving average, is approximately 92 degrees Fahrenheit, rounded to one decimal place.
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jim baked sugar cookies and peanut butter cookies he baked 8 sugar cookies and 3 times as many peanut butter cookies. what is the total number of cookies that jim baked?
Answer: 32 cookies
Step-by-step explanation:
8 times 3 is 24
24+8=32 cookies
The polynomial equation x^3−x^2+kx−3=0
has three roots that are all integers.
Find the value of integer k
The value of integer k is -5.
What is polynomial equations ?
Polynomial equations formed with variables, exponents and coefficients .
Since the polynomial has three integer roots, we can express it as:
(x - r1)(x - r2)(x - r3) = 0
where r1, r2, and r3 are the three integer roots.
Expanding the left-hand side, we get:
x^3 - (r1 + r2 + r3)x^2 + (r1r2 + r1r3 + r2r3)x - r1r2r3 = 0
Comparing this with the given polynomial, we see that:
r1 + r2 + r3 = 1
r1r2 + r1r3 + r2r3 = k
r1r2r3 = 3
First we need to find the value of k. From the first equation, we see that one of the roots must be 1, since the sum of three integers that are not 1 cannot be 1. Without loss of generality, assume that r1 = 1. Then we have:
r2 + r3 = 0
r2r3 = 3
Since the roots are integers, the only possibility is r2 = -3 and r3 = 1.
Therefore, we have:
k = r1r2 + r1r3 + r2r3 = 1(-3) + 1(1) + (-3)(1) = -5
Therefore, the value of integer k is -5.
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A researcher's results should be considered fraudulent if Group of answer choices animals were used while conducting experiments. the researcher used any form of survey to collect the data. participants were not debriefed after completion of the study. data were changed in order to support the hypothesis
A researcher's results should be considered fraudulent if data were changed in order to support the hypothesis. This is a serious ethical violation and goes against the scientific method. Overall, it is important for researchers to adhere to ethical standards and maintain the integrity of their research.
Explanation:
A researcher's results should be considered fraudulent if data were changed in order to support the hypothesis. This is a serious ethical violation and goes against the scientific method. Additionally, if animals were used while conducting experiments, the researcher should have followed ethical guidelines and obtained proper approval and care for the animals. If a survey was used to collect data, the researcher should have ensured the survey was properly designed and administered to avoid any biases or errors. Finally, if participants were not debriefed after completion of the study, this could be seen as unethical and potentially harmful to their well-being. Overall, it is important for researchers to adhere to ethical standards and maintain the integrity of their research.
The scientific method requires researchers to conduct experiments in a transparent and objective manner. This means that the researcher should design experiments to test hypotheses, collect data systematically, and analyze data objectively. Any manipulation of data to support a hypothesis undermines the scientific method and is considered unethical. Researchers who intentionally manipulate data can be considered fraudulent and may face disciplinary action.
If animals were used in the experiment, the researcher should have followed ethical guidelines and obtained proper approval and care for the animals. Ethical guidelines ensure that animals are treated humanely, minimize their pain and discomfort, and maximize their welfare. Researchers who violate these guidelines can be considered fraudulent and may face disciplinary action.
If a survey was used to collect data, the researcher should have ensured that the survey was properly designed and administered to avoid any biases or errors. Surveys can be susceptible to various sources of error, including sampling errors, measurement errors, and non-response bias. Researchers who fail to address these sources of error can produce biased or invalid results, which can be considered fraudulent.
Finally, if participants were not debriefed after completion of the study, this could be seen as unethical and potentially harmful to their well-being. Debriefing allows participants to understand the purpose of the study, ask questions, and voice any concerns they may have. Participants who are not debriefed may feel deceived or harmed by the study, which can damage their trust in research and researchers.
In summary, researchers must adhere to ethical standards and maintain the integrity of their research. This includes avoiding data manipulation, following ethical guidelines for animal welfare, ensuring that surveys are properly designed and administered, and debriefing participants after completion of the study. Failure to do so can result in fraudulent research and harm to participants, animals, and the scientific community as a whole.
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first 6,000 digits of pi
Answer: the first 6000 digits of pi are 3.1415926535 8979323846 2643383279
Step-by-step explanation:
Plz help my math class is in a couple of minutes plz plz plz helppp 15 points!!
Answer:
a=it would be the middle section
Step-by-step explanation:
sorry thats all i could do
when the angle of an incline with a block resting on it increases the normal support force? A) decreases B) increases C) stays the same
Answer:
normal force decreases
Step-by-step explanation:
N=mgcosθ, and cosine decreases as theta increases
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Answer:
A) decreases
Step-by-step explanation:
As the angle of the incline increases, the normal force decreases, which decreases the frictional force. The incline can be raised until the object just begins to slide.
True or False: An isosceles triangle is a triangle with no two sides the same length
Answer:
False
Step-by-step explanation:
An isosceles triangle does have at least two equal sides
I hope this helps
if you could, feel free to mark me Brainliest it would be much appreciated :D
A boat heading out to sea starts out at Point
�
A, at a horizontal distance of 1159 feet from a lighthouse/the shore. From that point, the boat’s crew measures the angle of elevation to the lighthouse’s beacon-light from that point to be 16
∘
∘
. At some later time, the crew measures the angle of elevation from point
�
B to be 8
∘
∘
. Find the distance from point
�
A to point
�
B. Round your answer to the nearest foot if necessary.
The distance from point A to point B is approximately 310 feet.
We have,
Let's denote the distance from point A to the lighthouse as d and the distance from point B to the lighthouse as x.
We can set up two right triangles, one with an angle of elevation of 16 degrees and the other with an angle of elevation of 8 degrees,
In the first triangle,
We can use the tangent function to find the height h of the lighthouse above the level of the sea:
tan(16 degrees) = h / d
h = d x tan(16 degrees)
In the second triangle,
We can use the same function to find the height of the lighthouse above the level of the sea at point B:
tan(8 degrees) = h / (d + x)
h = (d + x) x tan(8 degrees)
Since the height of the lighthouse above the level of the sea is the same in both triangles, we can set the two expressions for h equal to each other and solve for x:
d x tan(16 degrees) = (d + x) x tan(8 degrees)
Expanding and rearranging, we get:
x = d x (tan(8 degrees) / tan(16 degrees) - 1)
Plugging in the values, we get:
x = 1159 x (tan(8 degrees) / tan(16 degrees) - 1) ≈ 310.4 feet
Therefore,
The distance from point A to point B is approximately 310 feet.
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Triangle ABC is enlarged with a scale factor of -2 and the origin of the centre to give triangle ABC . WORK OUT THE COORDINATES OF A and B
The coordinates of the triangle A'B'C' are A'(-2, -6), B'(-14, -2) and C'(-2, -2).
What is a dilation?Dilation is the process of resizing or transforming an object. It is a transformation that makes the objects smaller or larger with the help of the given scale factor. The new figure obtained after dilation is called the image and the original image is called the pre-image.
here, we have,
From the given graph, triangle ABC have A(1, 3), B(7, 1) and (1, 1).
Triangle ABC is enlarged with a scale factor of -2 and the origin of the Centre to give triangle A'B'C'.
Now, A(1, 3) → -2(1, 3)→A'(-2, -6)
B(7, 1) → -2(7, 1) → B'(-14, -2)
C(1, 1) → -2(1, 1) → C'(-2, -2)
Therefore, the coordinates of the triangle A'B'C' are A'(-2, -6), B'(-14, -2) and C'(-2, -2).
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The line passing through the points (-2, 10) and (5, -11)
y-intercept = (0, 4)
x-intercept = (3/4, 0)
Step-by-step explanation:1 - Find the slope
\(slope = m = \frac{rise}{run} = \frac{y_2~-~y_1}{x_2~-~x_1} = \frac {-11-10}{5-(-2)} = \frac {-21}{7} = -3\)
2 - Plug the slope into y = mx + b and substitute a point into x and y to find the y-intercept, b, by isolating it.
y = mx + b
y = -3x + b
10 = (-3)(-2) + b
10 = 6 + b
-6 -6
4 = b
y-intercept = (0, 4)
3 - Rewrite the completed formula
y = -3x + 4
4 - Substitute 0 in for y to find the x-intercept
0 = -3x + 4
-4 - 4
-4 = -3x
-4/-3 = -3x/-3
4/3 = x
x-intercept = (4/3, 0)
Can you help me find the area and
centroid of the following function? ∫-1/6π 2/3π 5 sin^2 (θ+π/4) dθ
To find the area of the given function, we need to integrate it over the given limits:
Area = ∫-1/6π to 2/3π 5 sin^2 (θ+π/4) dθ
Using the identity sin^2 θ = (1/2)(1 - cos 2θ), we can write:
Area = ∫-1/6π to 2/3π 5/2 [1 - cos(2θ + π/2)] dθ
= ∫-1/6π to 2/3π 5/2 [1 + sin(2θ)] dθ
= [5/2 θ - (5/4) cos(2θ)]-1/6π to 2/3π
= [5/2 (2/3π + 1/6π) - (5/4) cos(4/3π) + (5/4) cos(1/3π)]
= [5/2 (3/6π) - (5/4) (-1/2) + (5/4) (√3/2)]
= [15/4π + 5/8 + (5/4) (√3/2)]
≈ 6.016
To find the centroid of the function, we need to find the coordinates (r, θ) of the center of mass, where:
r = (1/Area) ∫∫r^2 dA
θ = (1/(2Area)) ∫∫θr^2 dA
Since the function is only defined for r = 5, we can simplify the above equations as follows:
r = (1/Area) ∫-1/6π to 2/3π ∫0 to 5 r^3 sin^2 (θ+π/4) dr dθ
= (5/Area) ∫-1/6π to 2/3π sin^2 (θ+π/4) dθ
θ = (1/(2Area)) ∫-1/6π to 2/3π ∫0 to 5 θr^3 sin^2 (θ+π/4) dr dθ
= (5/(2Area)) ∫-1/6π to 2/3π θ sin^2 (θ+π/4) dθ
We can use the same integrals we found for the area to evaluate these equations:
r = (5/6π + 5/16 + (5/8) (√3/2)) / (6.016)
≈ 1.686
θ = (5/(2(6.016))) [(2/3π)(1/2) - (1/6π)(-1/2) + (√3/2)(1/4π) - (-√3/2)(2/3π)]
≈ 0.193 radians
Therefore, the centroid of the given function is approximately (1.686, 0.193).
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heyy
this easy work(i think)
The tropical rainforest has acidic soil which is bad for plant growth; however, the Rainforest has the most biodiversity. Which abiotic factor increases the biodiversity of the rainforest?
Many of the plants in the rainforest are vines that grow up the trees and don’t need soil.
The Venus fly trap consumes insects to make up for the bad soil.
The days are short in the rainforest, so plants have less sunlight.
The temperature of the rainforest is warm all year round which is good for growing plants.
Answer:
Many of the plants in the rainforest are vines that grow up the trees and don’t need soil. :P
Step-by-step explanation:
Use the information given to enter an equation in standard form. (6, 10) and (5, 7) are on the line.
Answer:
y=3x - 8
Step-by-step explanation:
first find slope
10 - 7/6 - 5 = 3
Point - slope
y = 3(x-6)+10
Simplify
y = 3x-18+10
y=3x - 8
Can someone help me please? Will award 80 pts.
Answer:
x = 1/4
Step-by-step explanation:
To solve, we need to find the constant of proportionality (k) which is defined by the equation:
yx = k
\((68)(1/17) = k\\k = 4\)
Therefore when y= 16,
\(16x = 4\\x= \frac{1}{4}\)
When y varies inversely with x that means mathematically
\(y = \frac{k}{x}\)
k ⇒ is the proportional constant that we need to findWe know for one, that when y = 68 and x = 1/17, that means
\(68 = \frac{k}{\frac{1}{17} } \\68 = 17k\\k = 4\)
Therefore we get the equation of the relationship between y and x as
⇒ \(y = \frac{4}{x}\)
So when y = 16, then
\(16 = \frac{4}{x} \\4 = 16x\\x = \frac{1}{4}\)
Thus the value of x when y = 16 is 1/4 or the third choice.
Hope that helps!
E is the midpoint of DF, DE=6x+1 and EF = 7x-4. Find DE, EF, and DF
The value for the given line DF are-
DE = 31 units.EF = 31 units.DF = 62 unit.What is meant by the mid point of the line?A midpoint is a point in the middle of a line connecting two points. The 2 points of reference are the line's endpoints, and also the midpoint is located between the two.For the points on the coordinate axes, the midpoint formula is defined. Let the endpoints of the a line segment be (x)1, (y)1, and (x)2, (y)2. The midpoint is equal to one-half of the sum of the two points' x-coordinates and half of a sum of the two points' y-coordinates.For the given values in question,
DE = 6x + 1 and EF = 7x - 4.
As, E is the midpoint of DF.
Thus,
DE = EF
Pu the values.
6x + 1 = 7x - 4
On solving.
x = 5
Put the values in the lines.
DE = 6x + 1
DE = 6×5 + 1
DE = 31 units.
EF = 7x - 4
EF = 7×5 - 4
EF = 31 units.
DF = DE + EF
DF = 31+ 31
DF = 62 units.
Thus, the values for the line segment are obtained.
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Find an angle \thetaθ coterminal to -72^{\circ}−72 ∘ , where 0^{\circ}\le\theta<360^{\circ}0 ∘ ≤θ<360 ∘ .
Cotermianl of -72 degree.
360-72=288(subtract 72 from 360 degree)
Hence, 288 is the cotermianl of -72 degree
find the sin in the triangle
Answer:
.324 or 18.9 degrees
Step-by-step explanation:
rule is
sine equals opposite over hypotenuse,
cosine equals adjacent over hypotenuse, and
tangent equals opposite over adjacent
OR
soh cah toa
sine = soh = 12/37 = .324
arcsin(.324) or sin^-1(.324) in DEGREES not radians =
18.9 degrees
11. How many combinations of four can you make from the set?
25 baseball cards
Put your answer in the form [XXXXX]. Please do not insert a comma.
Chayanne baked some cupcakes for her friends.She baked 24 cupcakes.Each cupcake is 2/15 pound.If she packed 6 cupcakes in each box,what is the weight of each box?
Answer:
\(4/5\ or\ 0.8\ pounds\)
Step-by-step explanation:
Chayanne baked some cupcakes for her friends. She baked 24 cupcakes. Each cupcake is 2/15 pound. If she packed 6 cupcakes in each box, what is the weight of each box?
\(6*2/15\\12/15\\4/5\\\)
Each box weighs \(4/5\ or\ 0.8\ pounds\)
Hope this helps!
f(x)=x^(2)(3-3x)^3 find the coordinates of the relative extrema, write in decimals.
The coordinates of the relative extrema for the function f(x) = x^2(3-3x)^3 can be found by taking the derivative of the function, setting it equal to zero, and solving for x.
First, let's find the derivative of f(x). Using the product rule and chain rule, we have:
f'(x) = 2x(3-3x)^3 + x^2 * 3 * 3(3-3x)^2 * (-3)
Simplifying further:
f'(x) = 2x(3-3x)^3 - 27x^2(3-3x)^2
Now, set f'(x) equal to zero and solve for x:
2x(3-3x)^3 - 27x^2(3-3x)^2 = 0
Factoring out common terms:
x(3-3x)^2[(3-3x) - 27x] = 0
Setting each factor equal to zero:
x = 0 or (3-3x) - 27x = 0
Solving the second equation:
3 - 3x - 27x = 0
-30x - 3x = -3
-33x = -3
x = 1/11
Therefore, the relative extrema occur at x = 0 and x = 1/11. To find the corresponding y-values, substitute these x-values back into the original function f(x):
For x = 0:
f(0) = 0^2(3-3(0))^3 = 0
For x = 1/11:
f(1/11) = (1/11)^2(3-3(1/11))^3 = (1/121)(3-3/11)^3 = (1/121)(8/11)^3 ≈ 0.021
Hence, the coordinates of the relative extrema are (0, 0) and (1/11, 0.021).
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Solve. 4x^2=8 The solution(s) is/are x= (Simplify your answer. Type an exact answer, using radicals as needed. Express complex numbers in terms of i. Use a comma to separate answers as needed.)
The solution to the equation 4x^2 = 8 is x = ±√2.
To solve this equation, we need to isolate x. Let's go through the steps:
1. Start with the equation: 4x^2 = 8.
2. Divide both sides of the equation by 4 to simplify: (4x^2)/4 = 8/4, which gives x^2 = 2.
3. Take the square root of both sides to solve for x: √(x^2) = ±√2.
4. Since the square root of x^2 is equal to the absolute value of x, we have |x| = ±√2.
5. Therefore, x can be both positive and negative, giving us two possible solutions: x = ±√2.
Hence, the solutions to the equation 4x^2 = 8 are x = ±√2.
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You have a mortagege of $275,000
after down payment with an interest
rate of 3% for 30 years.
What does P, r,n, and t are equal to?
Answer:
Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this
Step-by-step explanation:
suppose you have a bag of 25 marbles and 3 of the marbles are white.If you choose one without looking, what is the probability you choose a white marble? Write this probability as a percent . Use a word or phrase to describe this probability.
Answer:
3/25
THERE IS AN 11% CHANCE
can i get brainliest
Step-by-step explanation:
Answer:
12%
Step-by-step explanation:
3 is 12% of 25. So you would have a 12 percent chance of getting a white marble.
3 ÷ 25 = 0.12 = 12%
Percent formula
P × V1 = V2
To divide two powers with the same base, (fill the blank)
the exponents.