Answer:
5 and 11/24ths
Step-by-step explanation:
Using the data set below, what is the mode?
4,6,6,7,7,8,8,8,9
A 6
B7
C8
C.8 is the answer.
Step-by-step explanation:
Mode: The number that occurs the highest number of times.
Answer:
The Answer is C). 8
Step-by-step explanation:
bcause there are more 8's then all the other number if that makes sense
Hope this helps!!!
In a class of 40 students, 15 like volleyball, 20 like basketball and 10 like both the games. illustrate it in a Venn diagram and find the number of students who don't like any of the games.
Answer:
25 students didn't like any of the games
Step-by-step explanation:
20-15=5 40-10=30
20-5=25
Find the perimeter. Simplify your answer.
3x+7
3x+7
2x-3
2(3x + 7) + (2x - 3) =
= 6x + 14 + 2x - 3 =
= 6x + 2x + 14 - 3 = 8x + 11 ← the end
1. If the same 1.0 kg book is lifted 0.5 m above the table, but the table top is 1.0 m
above the floor, what would be the potential energy of the book if the reference level we
the floor?
Answer:
Potential Energy = 10J
Step-by-step explanation:
mass of the book = 1.0kg
height = (0.5 + 1)m
acceleration due to gravity = 10m/s²
Potential Energy = mass × acceleration × height
Potential Energy = 1kg × 10m/s² × 1m
Potential Energy = 10J
The town of Todsham currently has a population of 300,000.
Each year, the population of Todsham will reduce by 5%.
How many fewer people will live in Todsham in 6 years compared with
now?
Give your answer to 3 s.f.
TY
The number of fewer people living in Todsham in 6 years compared with now, found using the formula for population growth rate, is about 79,500 people
What is the formula for finding the population growth rate?The formula for finding the population of a town after a specified number of years, where the rate of change of the population, and the number of people in the town are known can be presented as follows;
P = A·(1 - r)ˣ
Where;
P = The current population of the town = The population after the indicated duration
A = The initial population of the town = 300,000
r = The population growth rate = 5%
The population after 6 years is therefore;
P = 300,000 × (1 - 0.05)⁶ ≈ 220,527
The number of fewer people living in Todsam in 6 years = 300,000 - 220,527 = 79473 ≈ 79,500
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Ethan's wallet contains 19 bills totaling to
$114. If Ethan's wallet only contains $20-
bills and $1-bills, how many $20 bills are in
Ethan's wallet
Answer:
he could have five 20 bills at most
Answer:
5
Step-by-step explanation:
You subtract 14 one dollar bills from the unnamed 19 bills to get 5 remaining bills and $100 left in the wallet.
100÷5 = 20
The five remaining bills are the 20 dollar bills
Please give brainliest if I helped! :)
Enlarge shape A by scale factor 3.5 with centre of enlargement (8, -7).
What are the coordinates of the vertices of the image?
Thus, the vertices of the larger square have the following coordinates: (-6, 7), (1, 7),(1, 0), and (-6 ,0).
Explain about the scale factor?The ratio of the scale of an original thing to a new object that is a representation of it but of a variable size is known as a scale factor (bigger or smaller).
The procedures below can be used to increase form A by a scale factor of 3.5 with the centre of enlargement at (8,-7).
Transform the square so that its origin is where the centre of enlargement is (0,0).
To do this, we deduct each vertex's coordinates from the centre of enlargement (8,-7):
A = (4 - 8, -3+ 7) = (-4, 4)
B = (6 -8, -3 + 7) = (-2, 4)
C = (6 - 8, -5 + 7) = (-2, 2)
D = (4 - 8, -5 + 7) = (-4, 2)
Multiply the coordinates of the each vertex by the scaling factor (3.5) to enlarge the translated square:
A = (-14, 14)
B = (-7, 14)
C = (-7, 7)
D = (-14, 7)
By adding those coordinates of the centre of the enlargement (8,-7) to each vertex, move the square from its larger state back to its original one:
A = (-14 + 8, 14-7) = (-6, 7)
B = (-7 + 8, 14-7) = (1, 7)
C = (-7 + 8, 7-7) = (1, 0)
D = (-14 + 8, 7-7) = (-6 ,0)
As a result, the vertices of the larger square have the following coordinates: (-6, 7), (1, 7),(1, 0), and (-6 ,0).
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find the inverse of the one-to-one function f(x)= x 7 x−3. give the domain and the range of f and f−1.
Main Answer: The inverse of the given function f(x) = x7/(x-3) is f^-1(x) = 3x/(x-7). The domain of f is {x|x ≠ 3} and the range of f is {y|y ≠ 7}. The domain of f^-1 is {y|y ≠ 7} and the range of f^-1 is {x|x ≠ 3}.
Supporting Explanation:
To find the inverse of the given function f(x) = x7/(x-3), we need to first replace f(x) with y. So, we have y = x7/(x-3). Next, we need to swap x and y and solve for y. This gives us x = y7/(y-3). Now, we need to solve this equation for y.
Multiplying both sides by y-3, we get xy-3 = y7. Expanding this, we get xy - 3x = y7. Bringing all the y terms to one side and x terms to the other side, we get y7 + 3y - 3x = 0. This is a seventh-degree polynomial equation that can be solved for y using numerical methods. The result is y = 3x/(x-7). This is the inverse function f^-1(x).
The domain of f is the set of all x values for which f(x) is defined. Here, f(x) is undefined only for x = 3. Hence, the domain of f is {x|x ≠ 3}. The range of f is the set of all y values that f(x) can take. Here, f(x) can take any value except 7. Hence, the range of f is {y|y ≠ 7}.
The domain of f^-1 is the set of all y values for which f^-1(y) is defined. Here, f^-1(y) is undefined only for y = 7. Hence, the domain of f^-1 is {y|y ≠ 7}. The range of f^-1 is the set of all x values that f^-1(y) can take. Here, f^-1(y) can take any value except 3. Hence, the range of f^-1 is {x|x ≠ 3}.
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This one is hard can some body help me
can you please help me!
Answer:
2
Step-by-step explanation:
t + 1/t = 2
OK just looking at the equation, if you don't have to show work, if you guess and try t=1 you'll see 1 + 1/1 = 2 works, so t must be 1, and 1^2+1/(1^2) = 2. So the final answer is 2.
If you have to show work, t+1/t=2 is t^2+1=2t, t^2-2t+1=0, solving for t using the quadratic formula, you will get t = 1.
Then you can plug it into t^2 + 1/(t^2) to get 1^2+1/(1^2) = 1+1 = 2.
1. A cosmetologist must double his/her salary before the employer con realize any profit from
his/her work,
Miss, Mead paid Miss, Adams $125,00 per week to start. The first week Miss, Adams' services
amounted to $162.00. How much did Miss, Meod lose on the first week's work of Miss, Adams
a, 384.00 b.$63.00 c. $28.00 d. $75.00
Answer:
Miss Meod lost $88 from Adams' first week of services.
Step-by-step explanation:
Assuming the first sentence stand
As Adams received $125 of wages the break-point is at $250 dollars
which is double of Adams' wage. Below this point the employe cannot realize a gain.
The services performed were $162 we subtract the break even point:
162 - 250 = -88
Durign the first week Miss Adams services generate a variable loss for $88
Please answer the questions in photo ( will mark brainliest )
Answer: 4 =division 5=multiplication6=subsitution
Step-by-step explanation:
Simple rules
Find the volume of a cone with diamter 12 and height 7
What is the solution for the system of linear equations shown in the graph?
answers are in the second image
Step-by-step explanation: The solution to this system of equations will be where the two lines on the graph intersect with each other.
Notice that both of them intersect to the left of the y-axis which means our x - coordinate must be negative.
They also intersect above the x-axis so our y-coordinate must be positive.
So the only option with a negative x-coordinate
and a positive y-coordinate is (-1/4, 3/4).
Pleas help it’s due tomrrow
Answer:
Step-by-step explanation:
K is located at -25
L is located at -15
just move 5 units away from J on both sides
hope this helps <3
Let y = 29 and u = 7 -7 Write y as the sum of two orthogonal vectors, one in Span (u) and one orthogonal to u. y=y+z=+ (Type an integer or simplified fraction for each matrix element. List the terms in the same order as they appear in the original list.
The required sum of two orthogonal vectors is (29, 15).
The expression for y is:
y = 29 And, u is: u = 7 - 7
We need to write y as the sum of two orthogonal vectors, one in Span(u) and one orthogonal to u.
We can define two vectors as:
y = u + z, Where z is the vector orthogonal to u and lies in the plane perpendicular to Span(u).
Let's find the vector z:
Let z = (a,b) be the vector orthogonal to u.
To make it orthogonal to u, it must satisfy:
u · z = 0
(7, -7) · (a, b) = 0
a(7) + b(-7) = 0
a = b
Therefore, z = (a, a)
Now we have :
y = u + z
y = (7, -7) + (a, a) = (7 + a, -7 + a)
The sum of the vectors must be equal to y, which is equal to (29,0).
Thus,
7 + a = 29, a = 22
So, the orthogonal vector is: z = (a,a) = (22,22)
Therefore, y can be written as:
y = u + z
y = (7, -7) + (22,22)
y = (29, 15)
Hence, the required sum of two orthogonal vectors is (29, 15).
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Please help! I will mark as brainliest IF answer is right. <3
Answer:
7x-26
Step-by-step explanation:
Answer:
f(x - 4) = 7x - 26
Step-by-step explanation:
Since the original equation was f(x) = 7x + 2, then to solve the following equation, you need to use the substitution method in relation to the added number (-4). So, if f(x - 4), you would now substitute the (x - 4), in place of the previous (x). Therefore the new problem would be f(x - 4) = 7(x - 4) + 2; after distributing, you would get 7x - 28 + 2. Then further simplifying, this would be 7x - 26, after doing -28 + 2. Finally, the answer would be f(x - 4) = 7x -26.
A parallelogram with a diagonal drawn through it is shown below.
Arlen is trying to prove that RS ≅ TU, but is unable to come up with one of the lines of the proof.
STATEMENTS REASONS
RSUT is a parallelogram Given
∠RST ≅ ∠UTS and ∠RTS ≅ ∠UST If parallel lines are cut by a transversal, alternate interior angles are congruent.
ST ≅ ST Reflexive Property
ΔRST ≅ΔUTS ???
RS ≅ TU Corresponding parts of a congruent triangle are congruent.
What is the missing reason in the proof?
Arlen already established that ΔRST and ΔUTS has two pairs of congruent angles and a pair of congruent included sides, which meet the ASA Congruence Criterion. Therefore:
the missing statement in the proof is: ΔRST ≅ ΔUTSthe missing reason in the proof is: ASA Congruence CriterionWhat is the ASA Congruence Criterion?The ASA Congruence Criterion states that for two triangles to be considered congruent to each other, both triangles must have a pair of congruent included sides and two pairs of congruent angles.
Thus, the two-column proof that shows that RS ≅ TU that Arlen is trying to write, has already established that ΔRST and ΔUTS has the following:
Two pairs of congruent angles - ∠RST ≅ ∠UTS and ∠RTS ≅ ∠UST.
A pair of congruent included sides - ST ≅ S.
These satisfy the ASA Congruence Criterion. Therefore:
the missing statement in the proof is: ΔRST ≅ ΔUTSthe missing reason in the proof is: ASA Congruence CriterionLearn more about the ASA Congruence Criterion on:
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a semi circle sits on top of a rectangle. find its area and perimeter . use 3.14 for pi sides 3in by 4 in
Answer:
Area=14.28 Perimeter= 14.28
Step-by-step explanation:
Area of a circle = (3.14) * r^2
radius = diameter/2
radius = 4/2
r = 2
A = (3.14) * 2^2
A = (3.14) * 4
A = 12.57
since it's a half circle though, 12.57/2 = 6.29
the area of the rectangle is bh, 4*2 = 8
6.29 + 8 = 14.28
area = 14.28
perimeter of a circle, or circumference = 2(3.14)r
C = 2(3.14) * 2
C = 6.28 * 2
C = 12.57
but again, since it's a half circle, 12.57/2 = 6.29
perimeter of a rectangle = 2(l + w)
p = 2(4 + 2)
p = 2(6)
p = 12
but because the perimeter is what's on the outside, we don't count the side connecting to the circle, so it'd be 12 - 4 = 8
6.29 + 8 = 14.28
perimeter = 14.28
what is the quotient to 5984 divided by 32
Answer:
The quotient of 5984 divided by 32 is 187.5
Step-by-step explanation:
Answer:
The quotient of 5984 divided by 32 is 187.
~ ! ANGLE MEASURE ! ~
~Someone please help me out-~
Parallel lines m and n are cut by a transversal t. Which two angles are corresponding angles?
A. ) ∠1 and ∠5
B. ) ∠1 and ∠6
C. ) ∠1 and ∠2
D. ) ∠1 and ∠7
Answer:
1 and5
Step-by-step explanation:
.......?...........
Answer:
Yes! A. 1 and 5, is 100% correct
D. 2.576(5,480/5) What is the margin of error for a 99% confidence interval for the population mean of the sale of Aiskrim Gulapong by the seller? A. 2.326(1,500/5) B. 2.326(5,480/5) C. 2.576(1,500/5)
The margin of error for a 99% confidence interval for the population mean of the sale of Aiskrim Gulapong by the seller is given by option C, i.e. 2.576(1,500/5).
The margin of error for a 99% confidence interval for the population mean of the sale of Aiskrim Gulapong by the seller is given by option C. 2.576(1,500/5).
Margin of error:In statistics, the margin of error is the range of uncertainty that is added or subtracted to an estimate to define an interval that specifies the precision of the estimate.
The margin of error of a statistic is defined as the maximum error that arises due to sample observations when we generalize a population study.
The margin of error for a 99% confidence interval for the population mean of the sale of Aiskrim Gulapong by the seller is given by,Margin of error = z * (σ/√n)wherez = 2.576σ = population standard deviation n = sample size,
Substituting the given values in the formula, we get,Margin of error = 2.576 * (1,500/√5)≈ 1,108.98.
Hence, the margin of error for a 99% confidence interval for the population mean of the sale of Aiskrim Gulapong by the seller is approximately 1,108.98.
The margin of error of a statistic is defined as the maximum error that arises due to sample observations when we generalize a population study. In statistics, the margin of error is the range of uncertainty that is added or subtracted to an estimate to define an interval that specifies the precision of the estimate.
The margin of error for a 99% confidence interval for the population mean of the sale of Aiskrim Gulapong by the seller is given by Margin of error = z * (σ/√n), where z = 2.576, σ = population standard deviation, and n = sample size.
Substituting the given values in the formula, we get Margin of error = 2.576 * (1,500/√5)≈ 1,108.98. Thus, the margin of error for a 99% confidence interval for the population mean of the sale of Aiskrim Gulapong by the seller is approximately 1,108.98.
Thus, we can conclude that the margin of error for a 99% confidence interval for the population mean of the sale of Aiskrim Gulapong by the seller is given by option C, i.e. 2.576(1,500/5).
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which expression is equivalent to -3.5(4x - 3) ? And why?
15a+65b<150
Please help
Answer:a<−13/3
b+10
Step-by-step explanation:
Step 1: Add -65b to both sides.
15a+65b+−65b<150+−65b
15a<−65b+150
Step 2: Divide both sides by 15.
15a
15
<
−65b+150
15
a<
−13
3
b+10
Answer:
a<
−13
3
b+10
Square root of 64 + cube root of 64 is
Answer:
12
Step-by-step explanation:
\(\sqrt{64}\) + \(\sqrt[3]{64}\)
= 8 + 4
= 12
Square root of 64 = \( \sf \sqrt{64} = \sqrt{8 \times 8} = \boxed{\bf 8}\)
Cube root of 64 = \( \sf \sqrt[3]{64} = \sqrt[3]{4 \times 4 \times 4} = \boxed{ \bf4}\)
So,
Square root of 64 + Cube root of 64
\( = \sf \sqrt{64} + \sqrt[3]{64} \\ \sf = 8 + 4 \\ = \boxed{ \bf12}\)
12 is the answer of the question asked.
____________
Hope it helps.
RainbowSalt2222
Tell whether the triangles are similar.
Answer: I think it’s not similar becaus of the size.
It’s also a different number so it’s a no.
Step-by-step explanation:
Blueprints for a new house shows bedroom is 12 feet by 16
scale on the blueprints in
"feet, what diesensions are her room on
the blueprint?
A: 1 inch x 2 inches
B: 2 1/2 inches x 3 inches
C: 1 1/2 inches x 2 inches
D: 3 inches x 4 inches.
PLEASE HELP YALL
Answer:
D = 3/4
Step-by-step explanation:
The ratio must also equal 12/16 = 3/4
Question text The diameter of a hydrogen atom is about \(5\times10^{-11}\) meter. Suppose \(8.4\times10^8\) hydrogen atoms were arranged side by side in a straight line. Multiply these numbers to find the length of this line of atoms. What is the length in scientific notation?
Answer: 4.2 x 10⁻⁴m
Step-by-step explanation: Scientific Notation is a method of writing a very large or very small number. It consists in any real number between 1 and 10 multiplied by any power of 10 (positive or negative).
The diameter of hydrogen is 5x10⁻¹¹m. There are 8.4x10⁸ atoms of hydrogen.
To determine the length of the line of atoms, you could add the diameter the number of atoms or multiply the diameter by the number of atoms:
L = 5x10⁻¹¹ * 8.4x10⁸
As it is multiplication, you can mutiply the numbers and then add the power of 10, since they are in the same base:
L = 42 x 10⁻³m
or moving comma to the left:
L = 4.2 x 10⁻⁴m
The length of the line of hydrogen atoms, in scientific notation is 4.2x10⁻⁴m
Please help need by tomorrow it would be very very very appreciated
The solution of the given system of equations is (8, -1). of the given system of equations is (8, -1).
One method to solve the given system of equations is substitution:
- Solve one of the equations for one of the variables (e.g., x = 9 + y from the second equation).
- Substitute the expression for the variable into the other equation.
- Solve the resulting equation for the remaining variable.
- Substitute the value for the remaining variable back into one of the original equations to find the value of the other variable
Using this method with the given equations
- x - y = 9 -> x = 9 + y
- 3x + 2y = 22 -> 3(9 + y) + 2y = 22
- Simplifying and solving for y: 27 + 5y = 22 -> 5y = -5 -> y = -1
- Substituting y = -1 into x = 9 + y: x = 8
To check this solution, we can substitute these values back into both original equations and confirm that they are true statements.
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PLEASEEE HELP WILLL GIVE BRAINLEAST!!!!!!
Which equation models the trend line?
A. y = –1.3x + 2
B. y = 1.3x + 2
C. y = –1.3x – 2
D.y = 1.3x – 2
Answer:
B. y = 1.3 + 2
Step-by-step explanation:
The slope is positive, and the y intercept is at positive 2.