40.
60 - 20 = 40.
Very simple.
Helpppp please
Arusha decides to build the prism using two cubes with edge lengths of 5 centimeters. She will partially fill the prism with 150 cubic centimeters of sand. What fraction of the prism's volume will bring filled by the sand? Show your work
Using the volume of the cube, it is found that the fraction of the prism's volume will bring filled by the sand is of [tex]\frac{3}{5}[/tex].
What is the volume of a cube?The volume of a cube of edge length l is given by:
V = l³.
In this problem, there are two cubes, each with edge length of l = 5 cm, hence, the total volume is given by:
V = 2 x l³ = 2 x (5 cm)³ = 250 cm³.
150 cm³ will be filled with sand, hence the fraction is given by:
[tex]\frac{150}{250} = \frac{15}{25} = \frac{3}{5}[/tex]
More can be learned about the volume of a cube at https://brainly.com/question/13030328
Ann is flipping a coin and rolling two dice. How many outcomes are possible?
Step-by-step explanation:
The coin can result in one of two possibilities. For each of those . . .
The cube has 6 possibilities.
Total possibilities for the coin and the cube = 2 x 6 = 12
Which to integers is Sqrt 58
between?
A. 7 and 8
B. -8 and -7
C.-6 and -5
D. 5 and 6
Option A
Solution:First, let's find the square root of 58.The square root of 58 is equivalent to:√58≈7,62 (approximately equal to)Now, which two integers is 7.62 between?Is it between 7 and 8? Yes.Is it between -8 and -7? No. 7.62 is positive.Is it between -6 and -5? No.Is it between 5 and 6? No.Therefore, √58 is between 7 and 8.Hope it helps.
Do comment if you have any query.
Place each function below in the appropriate cell to show the transformation from
Answer:
See below ↓↓↓↓
Step-by-step explanation:
Top left box
f(x) = 2x² + 4
g(x) = 2f(x) - 3
g(x) = 2(2x² + 4) - 3g(x) = 4x² + 8 - 3g(x) = 4x² + 5Top right box
f(x) = 2x² + 4
g(x) = 2f(x) + 3
g(x) = 2(2x² + 4) + 3g(x) = 4x² + 8 + 3g(x) = 4x² + 11Bottom left box
f(x) = 2x² - 4
g(x) = 2f(x) - 3
g(x) = 2(2x² - 4) - 3g(x) = 4x² - 8 - 3g(x) = 4x² - 11Bottom right box
f(x) = 2x² - 4
g(x) = 2f(x) +3
g(x) = 2(2x² - 4) + 3g(x) = 4x² - 8 + 3g(x) = 4x² - 5WILL GIVE BRAINLIEST The points Q(0,1), R(-9,-5), s(-7, -8), and T(2,-2) form rectangle QRST. Plot the points then click the "Graph Quadrilateral" button. Then find the area of the rectangle.
well, we know its a rectangle, so hmmm opposite sides are not just parallel but equal, hmmm so the area of this rectangle we can get by Length * Width, in this case that'll be QT * TS
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ Q(\stackrel{x_1}{0}~,~\stackrel{y_1}{1})\qquad T(\stackrel{x_2}{2}~,~\stackrel{y_2}{-2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ QT=\sqrt{[2 - 0]^2 + [-2 - 1]^2}\implies QT=\sqrt{2^2 + (-3)^2}\implies QT=\sqrt{13} \\\\[-0.35em] ~\dotfill[/tex]
[tex]T(\stackrel{x_1}{2}~,~\stackrel{y_1}{-2})\qquad S(\stackrel{x_2}{-7}~,~\stackrel{y_2}{-8})~\hfill TS=\sqrt{[-7 - 2]^2 + [-8 - (-2)]^2} \\\\\\ TS=\sqrt{(-9)^2 + (-8+2)^2}\implies TS=\sqrt{117} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the rectangle}}{\sqrt{13}\cdot \sqrt{117}\implies \sqrt{1521}\implies 39}[/tex]
Select Statistical or Not Statistical to classify each question.
1. How many feet are in 4 yards?
2. How many siblings do you have?
3. How many weeks are in a year?
Answer:
1. Not statistical
2. Statistical
3. Not statistical
Answer:
lol cant belive he could lie like that- anyways here is half the test since you can only post 5 pictures
Step-by-step explanation:
Find a 99% confidence interval for each of the following. Round to the nearest tenth if necessary. 1. x = 75, s = 10, and n =64 2. x = 56,5 = 2, and n= 50. 3. X = 40, s = 3, and n = 36
The 99% confidence interval will be (71.76, 78.23), (55.27, 56.73), and (38.71, 41.29).
How to calculate the confidence interval?The test statistic for 99% confidence interval is 2.58. Therefore, the 99% confidence interval when x = 75, s = 10, and n =64 will be:
= [75 - (10 × 2.58)/✓64, 75 + (10 × 2.58)/✓64,]
= 71.76, 78.23
The 99% confidence interval when x = 56,5 = 2, and n= 50 will be:
= [56 - (2 × 2.58/✓50), 56 + (2 × 2.58/✓50)]
= 55.27, 56.73
The 99% confidence interval when x = 40, s = 3, and n = 36 will be:
= [40 - (3 × 2.58)/✓36, 40 + (3 × 2.58)/✓36]
= 38.71, 41.29
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Which statements about the behavior of f(x) = x2 + 4x − 3 are true? Select all that apply.
A. f has an axis of symmetry at x = –2.
B. The range of f is the set of all real numbers.
C. The maximum value of f is –7 when x = –2.
D. As x approaches infinity, f(x) approaches infinity.
E. As x approaches negative infinity, f(x) approaches negative infinity.
Answer:
A, D
Step-by-step explanation:
Given function: [tex]f(x)=x^2+4x-3[/tex]
Axis of symmetry
[tex]\textsf{Axis of Symmetry formula : }x=-\dfrac{b}{2a}[/tex]
for a quadratic equation in standard form [tex]y=ax^2+bx+c[/tex]
[tex]\implies \textsf{Axis of symmetry}: x=-\dfrac{4}{2}=-2[/tex]
Maximum/Minimum point (vertex)
The max/min point is the turning point of the parabola.
The x-value of the turning point is the axis of symmetry.
[tex]\implies \textsf{Turning point}:f(-2)=(-2)^2+4(-2)-3=-7[/tex]
Turning point (vertex) = (-2, -7)
As the leading coefficient is positive, the parabola opens upwards. Therefore, the turning point (-2, -7) will be a minimum.
Domain & Range
Domain: input values → All real numbers
Range: output values → [tex]x\geq -7[/tex] [as (-2, -7) is the minimum point]
End behavior
As the leading degree is positive and the leading coefficient is positive:
[tex]f(x) \rightarrow + \infty, \textsf{ as } x \rightarrow - \infty[/tex]
[tex]f(x) \rightarrow + \infty, \textsf{ as } x \rightarrow + \infty[/tex]
Can someone help me please
Answer:
Option A
Step-by-step explanation:
To simplify this fraction:
We subtract the powers:
[tex]\frac{6^{3} }{6^{6} } = 6^{3-6}[/tex]
[tex]6^{-3}[/tex] = [tex]\frac{1}{6^{3} }[/tex] = 1/216
These answers I wrote in the last line are options B,C and D.
Therefore Option A is not equivalent.
Estimate the solution to the system of equations.
You can use the interactive graph below to find the solution
y =4x-2
y=x+3
Answer:
[tex]\left(\dfrac53,\dfrac{14}{3}\right)[/tex]
Step-by-step explanation:
Equation 1: y = 4x - 2
Equation 2: y = x + 3
Subtract Equation 2 from Equation 1 and solve for x:
⇒ 0 = 3x -5
⇒ 3x = 5
⇒ x = 5/3
Substitute found value of x into one of the equations and solve for y:
⇒ y = 5/3 + 3
⇒ y = 14/3
Therefore, the solution of the system of equations is:
[tex]\left(\dfrac53,\dfrac{14}{3}\right)[/tex]
State if the two triangles are congruent. If they are, state how you know.
options:
Yes, by SAS
Yes, by SSA
Yes, by AAS
No, not enough information
Answer:
its SAS because u can look at the triangle by the sides and angle
Step-by-step explanation: mark brainliset
helpp!! Please I appreciate it
Answer:
x < -10
Step-by-step explanation:
Solve the inequality.
-2x + 4 > 24 Subtract 4 from both sides
-2x > 20 Divide both sides by -2
x < -10 We must flip the inequality sign because we divided by a negative number in the last step.
When you graph, draw a number line. Then, draw a circle on top of -10. Since x is less than -10, the arrow goes to the left of -10. Additionally, the circle on top of -10 will be an open circle because the inequality sign is a less than, not a less than or equal to.
I hope this helps and please mark me as brainliest!
Which integer in the set has the greatest value (-144, -4, -3, -13)?
O A) -3
OB) -4
OC) -13
OD) -144
HELP PLS HURRY
A. -3
Hope it helps............
The greatest value in the set (-144, -4, -3, -13) is,
⇒ - 3
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The set is,
⇒ (-144, -4, -3, -13)
Now, By the given set we have;
⇒ - 144 < - 13 < - 4 < -3
Therefore, We have;
The greatest value in the set (-144, -4, -3, -13) is,
⇒ - 3
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Carmella just planted seeds for her vegetable garden. Anxious to view the progress of her plants, she checks her garden one afternoon, but sees that 4 weeds she has never seen before are growing in her vegetable garden. After a few weeks, she notices that the number of weeds appears to be tripling each week. If she doesn’t do something, she calculates that there could soon be 972 weeds in her garden. If represents the number of weeks, which equation could be used to determine what week Carmella would expect to find 972 weeds in her garden
Answer: 4(3)^w = 972
50 POINTS! PLEASE HELP ME! ILL GIVE BRAINLIEST!
2. Please complete both Parts A, B, & C below.
a. These triangles are proportional. Identify the corresponding sides for all three sides.
b. Set up fractions with your corresponding sides to show proportionality. Make sure to show your work for all three side pairs demonstrating that the fractions are proportional.
c. Are the triangles similar? If so explain why. If not, explain why not. Your work from Part A & B may help with this.
3 PARTS! Answer all or get deleted
Answer:
Step-by-step explanation:
a. These triangles are proportional. Identify the corresponding sides for all three sides.
40 AB------30 YZ
50 AC-------37.5 XY
60 BC---------45 XZ
b. Set up fractions with your corresponding sides to show proportionality. Make sure to show your work for all three side pairs demonstrating that the fractions are proportional.
Fraction: 3/4
40 x3/4 = 30
50 x 3/4 = 37.5
60 x 3/4 = 45
c. Are the triangles similar? If so explain why. If not, explain why not. Your work from Part A & B may help with this.
The triangles are similar
The Side-Side-Side Similarity Theorem states: “If all three corresponding sides of two triangles are proportional, then the triangles are similar".
Answer:
A. Sides AB, BC, and CA are proportional to YZ, ZX, and XY, respectively.
B. 3/4(AB) = YZ, 3/4(BC) = ZX, 3/4(CA) = XY
3/4 x 40 = 30 3/4 x 60 = 45 3/4 x 50 = 37.5
C. Yes, by SSS
Step-by-step explanation:
a. and b. are self-explanatory, but I will explain c.
When testing if two triangles are similar, they have to have the same except for scaling and flipping or turning. You know triangles are the same if all three sides are equal (SSS), two angles are equal (AA), or if there are two equal sides with an equal angle between them (SAS).
Since similar tringles can be scaled, these rules turn into if all three sides are proportional (SSS), two angles are equal (AA), or if there are two proportional sides with an equal angle between them (SAS).
These two triangles have proportional sides, so SSS applies and they are similar.
Are my wrists skinny? Please answer and I will mark as brainliest answer.
Answer:
yes! they're pretty skinny
Step-by-step explanation:
Pls help me
This figure represents a flower box.
How much soil will it take to fill the flower box?
Enter your answer in the box.
Answer:
2200
Step-by-step explanation:
i think thats the answer, i tried to do the math
Answer:
2200in^3
Step-by-step explanation:
We can split this graph into cuboids and cubes.
(5+20)×9×8=1800in^3
5×10×8=400in^3
1800+400=2200in^3
which expression is equivalent to 60-3y-9
Answer:
Step-by-step explanation:
60 - 3y - 9
= 60 - 9 - 3y
= 51 - 3y.
I need help please 15 points
Problem 2
Write each expression as a multiple of a power of 10.
Expression
As a Multiple of a Power of 10
42300
2000
9200000
Four thousand
80 million
32 billion
Whoever does this quicker gets Brainly and stuff
Answer:
4.23 x 10 to the 4, 2 x 10 to the 3, 9.2 x 10 to the 6, 4 x 10 to the 3, 8 x 10 to the 7, and 3.2 x 10 to the 10.
Step-by-step explanation:
I will explain in the comments to this response
The Scientific notation of the number 42300 is 4.23×10⁴.
What is scientific notation?Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as 1.56×10⁷.
Here, 42300 in Scientific notation as 4.23×10⁴.
2000 in Scientific notation as 2×10³.
9200000 in Scientific notation as 9.2×10⁶.
42300 in Scientific notation as 4.23×10⁴.
4000 in Scientific notation as 4×10³.
80 million=80000000 in Scientific notation as 8×10⁷.
32 billion=32,000,000,000 in Scientific notation as 3.2×10¹⁰.
Therefore, the Scientific notation of the number 42300 is 4.23×10⁴.
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Height of 10th grade boys is normally distributed with a mean of 63. 5 in, and a standard deviation
of 2. 9 in.
The area greater than the z-score is the probability that a randomly selected 14-year old boy
exceeds 70 in.
What is the probability that a randomly selected 10th grade boy exceeds 70 in. ?
Use your standard normal table.
Using the normal distribution, it is found that there is a 0.0125 = 1.25% probability that a randomly selected 10th grade boy exceeds 70 in.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, the mean and the standard deviation are, respectively, given by [tex]\mu = 63.5, \sigma = 2.9[/tex].
The probability that a randomly selected 10th grade boy exceeds 70 in is one subtracted by the p-value of Z when X = 70, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{70 - 63.5}{2.9}[/tex]
Z = 2.24
Z = 2.24 has a p-value of 0.9875.
1 - 0.9875 = 0.0125.
0.0125 = 1.25% probability that a randomly selected 10th grade boy exceeds 70 in.
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Please help me with this question
And I will give you stars. (-:
Please include full explanation and working. Thank you! :-)
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
Total Mini - Easter eggs = 1345
Number of students = 26
So, let's find how many eggs will each student get through division ~
[tex]\qquad \tt \dashrightarrow \: \dfrac{1345}{26} = 51 +remainder= 19[/tex]
So, each student will get 51 mini - Easter egg each.
And there would be 19 remaining eggs in there ~
Drag and drop the answer in the box to correctly complete the sentence.
A probability close to 1 indicates a chance event is ______ occur.
A: very likely to
B: not likely to
C: equally likely and unlikely to
D: not going to
E: going to
please help me....asap
Answer:
a.
Step-by-step explanation:
the study is on teens, and its impossible to survey every teen since they didnt specify how many teens there were. so the answer is a, survey 100 teens.
I need HELPPPPplsssssssssss
Answer:
I have attached a picture of the completed graph.
The equation is k = r + 7
Kyle will be 59 when Ryan is 52.
Explanation:
Kyle's age is always seven years higher than Ryan's age.
Therefore, k (Kyle's age) = r (Ryan's age) + 7 (Number of years different)
Suppose this two-dimensional figure is rotated 360 degrees using the vertical axis
shown. Each small square on the grid represents 1 square inch. What is the volume of
the three-dimensional figure? (2pts)
A. 41.89 in
B. 33.51 in
C. 62.83 in 3
D. 37.70 in3
The volume of the three-dimensional figure formed if the two-dimensional figure is rotated 360 degrees is 37.70 in³
What is volume?Volume is the amount of space occupied by a three dimensional shape or object.
The volume of the three dimensional shape is:
Volume = volume of cylinder + volume of cone = (π(2²) * 2) + [(1/3) * π * (2²) * 3] = 37.70 in³
The volume of the three-dimensional figure formed if the two-dimensional figure is rotated 360 degrees is 37.70 in³
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What is the probability of someone
randomly reaching into a bag of 8 red table
tennis balls and 4 blue table tennis balls and
pulling out a blue table tennis ball?
The probability of pulling out a blue ball is 1/3
What is probability?This is a likelihood or chance that an event will occur. Mathematically:
Probability = Expected/Total outcome
If someone randomly reaching into a bag of 8 red table tennis balls and 4 blue table tennis balls, the total outcome is:
Total outcome = 8 + 4 = 12 balls
If a blue ball is pulled out then the probability of pulling it out is:
Pr(blue ball) = 4/12 = 1/3
Hence the probability of pulling out a blue ball is 1/3
Learn more on probability here: https://brainly.com/question/24756209
The square root of 180 is
between which 2 integers?
Answer:
13 and 14.
Step-by-step explanation:
The square root of 180 is 13.416407865. Therefore, the two integers (or whole numbers) that it falls in between is 13 and 14.
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I hope this helps
-No one
The volume, v, of a cylinder is equal to this area base, b, times it’s height h. if the diameter of the cylinder is 18 feet and it’s height is 2.9 feet, which expression represents v in cubic meters?
The volume of the cylinder in cubic meters is 20.886 m^3
How to get the volume?
We know that the volume is the area of the base times the height.
In this case, the diameter of the base is 18 ft, so the radius (half of that) is:
R = 18ft/2 = 9ft
Then the area of the base is:
B = 3.14*(9ft)^2 = 254.34 ft^2
And the height is 2.9 ft, then the volume is:
V = (2.9 ft)*254.34 ft^2 = 737.586 ft^3
Now, we know that:
1ft = 0.3048 m
if we cube both of these
1 ft^3 = (0.3048 m)^3 = 0.0283 m^3
Now we can change the unis of our volume:
V = 737.586 ft^3 = 737.586*0.0283 m^3 = 20.886 m^3
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2.) Mila completed a half marathon race over the weekend. The full race was
13.1 miles and she jogged the first 4/5 of the race, then walked the remaining
distance.
How many miles did she jog?
Answer:
10.48 miles.
Step-by-step explanation:
That is 4/5 * 13.1
= 10.48 miles.