Answer:
27
Step-by-step explanation:
what I did is used a calculator and did 108 x 0.25 (25% as a decimal)
Using the properties of Integer exponents, match each expression with its equivalent expression.
The -5⁻³ matches with -1/125, (-5⁻³)⁻¹ matches with -125, and (-5⁻³)⁰ matches with 1.
What is integer exponent?In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
5⁻³ = 1/5³ = 1/125
-5⁻³ = -1/5³ = -1/125
(-5⁻³)⁻¹ = (-1/5³)⁻¹ = (-1/125)⁻¹ = -125
(-5⁻³)⁰ = 1 [tex]\rm (a^0 = 1)[/tex]
Thus, the -5⁻³ matches with -1/125, (-5⁻³)⁻¹ matches with -125, and (-5⁻³)⁰ matches with 1.
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Answer:
[tex]\sf{1)\ 5^{-3}={\dfrac{1}{5^3}={\dfrac{1}{125}[/tex]
[tex]\sf{2)\ -5^{-3}={\dfrac{1}{-5^3}=-{\dfrac{1}{125}[/tex]
[tex]\sf{3)\ \left(-5^{-3}\right)^{-1}=\left(-5^{-3\times-1}\right)=-5^{3}=-125}[/tex]
[tex]\sf{4)\ \left(-5^{-3}\right)^{0}=1[/tex]
Step-by-step explanation:
Exponent Property Rules:
⟹ Zero Exponent Property - ex: x⁰ = 1
An integer (excluding 0) with an exponent of zero equals one.
⟹ Negative Exponent Property - ex: x⁻ⁿ = [tex]{\dfrac{1}{x^n}[/tex]
Any number raised to a negative power is equivalent to the reciprocal of the number's positive exponent.
⟹ Power of Product Property - ex: (xy)ⁿ = xⁿ × yⁿ
To find the power of a product, multiply the power of each factor.
[tex]\sf{1)\ 5^{-3}={\dfrac{1}{5^3}={\dfrac{1}{125}[/tex]
[tex]\sf{2)\ -5^{-3}={\dfrac{1}{-5^3}=-{\dfrac{1}{125}[/tex]
[tex]\sf{3)\ \left(-5^{-3}\right)^{-1}=\left(-5^{-3\times-1}\right)=-5^{3}=-125}[/tex]
[tex]\sf{4)\ \left(-5^{-3}\right)^{0}=1[/tex]
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Do a web search to find the sunrise and sunset times for the last year in Osnabrück.
Starting with January 1, calculate the number of daylight hours every 30 days. (You should have 13 items of data.) Convert the time from hours and minutes to the nearest tenth of an hour. For example, if the sunrise time is 0708, write the decimal 7.1, by dividing 8 by 60.
Graph this set of data on graph paper. The horizontal axis will represent the day of the year, and the vertical axis will represent the number of daylight hours. Be sure to title your graph and label the axis.
Draw a regression curve, a curve that best represents your set of data. (This is similar to drawing a line of best fit.)
Answer the following questions about your graph in the box below. Number the responses of your answers as you enter them.
Turn in your set of data and graph to your teacher.
Answer the following questions in the essay box below:
Locate the lowest and highest points on your graph. What is the amplitude?
There are 365 days in a year. Explain this value's relationship to the graph.
What is the vertical shift of the graph?
What is the phase shift of the graph?
Write a sinusoidal function that models the number of daylight hours for the year in this city.
Using your equation, estimate the number of daylight hours in this city on the 220th day of the year. Based on your graph, does this answer seem reasonable? Explain any discrepancy that might occur between the two values.
Answer:
Step-by-step explanation:
A vertical shift is when the graph literally moves vertically, up or down. The movement is all based on what happens to the y-value of the graph. The y-axis of a coordinate plane is the vertical axis. When a function shifts vertically, the y-value changes.
1) Mark is buying 4 chairs for his business. The table shows the prices and the advertised sales for the same type
of chair at 4 chair stores.
Based on the advertised sales, at which store will mark get the lowest price on 4 chairs?
A) Store A: Buy 3 chairs and get the 4th chair free
B) Store B: Buy 4 chairs and receive $150 off the price of each chair
C) Store C: Buy 4 chairs and receive $550 off the total price
D) Store D: Buy 4 chairs and receive 35% off the total price
Quantitative Reasoning
(QR.6) Proportional Relationships
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Answer:
It's Store C
Hope this helps :)
Step-by-step explanation:
Got it right on USA TEST PREP :)
Divide
please help I will mark as brainliest
Answer: Heyaa!
Your Answer Is.. 16
Step-by-step explanation:
A.
Hopefully this helps you!
- Matthew
Answer:
16
Step-by-step explanation:
Dividing 2 fractions is the same as multiplying the fraction in the numerator with the inverse of the fraction in the denominator.
Therefore,
[tex]\frac{-20}{3}[/tex] ÷ [tex]\frac{-5}{12}[/tex][tex]-\frac{20}{3}[/tex] × [tex]-\frac{12}{5}[/tex]Note : -ve signs cancel out, cross multiply 20 and 5 to get 4, and cross multiply 12 and 3 to get 4⇒ 4 x 4⇒ 16Find the values of y in the following figures
(Give your answers correct to 3 significant figures if necessary)
Answer:
A)6
Step-by-step explanation:
First we can create a second traingle show in the picture so we figure out the base is 8 and hypotenuse is 10
so we use pythagerous
10^2-8^2=36
root of 36=6
Therefore x is 6 as they are the same height do to us knowing its a rectangle as it has 90 degree angles
Find fifth roots of 4-4i
Whoever answers first ill mark brainlist
Answer:
∠S = 19°
Step-by-step explanation:
Since all angles in a triangle add up to 180°, we must first find how much is left.
180 - 142 = 38
And since we know that the two lines are congruent, we know that the two other angles will be the same. So we divide the remaining by 2
38 ÷ 2 = 19
So both other angles are 19° meaning that ∠S is 19°
Hope this was helpful!
Answer: m∠S = 19°
Step-by-step explanation:
We know the angles of a triangle add up to 180° (and if you don't, you do now)
-> We are given one angle, 142°
-> We are given the fact this is an isosceles triangle, or one with two congruent sides
[] This means the other two angles are congruent
-> Taking this information, we will set up an equation to solve for x
180° = 142° + 2x°
38° = 2x
19° = x
x = 19°
x = m∠S, so m∠S = 19°
m∠S = 19°
Find each measurement indicated. Round your answer to the nearest tenth.
The measure of the angle B is 30 degree after applying the sin law of triangle.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
We have a triangle shown in the picture:
We can apply the sin law of the triangle to find the angle B
[tex]\rm \dfrac{28}{sin91} =\dfrac{14}{sinB}[/tex]
SinB = 0.499
B = 29.99 ≈ 30 degree
Thus, the measure of the angle B is 30 degree after applying the sin law of triangle.
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DOES ANYONE KNOW THE ANSWER ???? Please I can’t fail this test !
Answer:
The last option
Step-by-step explanation:
You take the middle 2 numbers, add them up, and divide by 2.
I need help with all these asap!!
Answer:
correspondingalternate interiorcorrespondingalternate exterioralternate interioralternate exterioralternate exteriorcorrespondingalternate interioralternate interiorcorrespondingcorrespondingStep-by-step explanation:
hope this will help you
Please help I’m so tired of zearn
Answer:
3
Step-by-step explanation:
At this stage, you have to isolate x. To do this, you must divide by 7 on each side of the equation. 21/7 is 3.
Hope this helped!
What am I supposed to do? Someone please help I frl will Lu.v 697 forever
Answer:
From the given diagram m>2 and m>3 are supplementary angles because they sum upto 180 degrees and m<2 and m<4 are vertically opposite anglesA bag contains 5 pictures of Paris and 7 pictures of London. Determine whether the events of selecting the picture of Paris and another picture of Paris with replacement are independent or dependent. Then identify the indicated probability.
The events of selecting the picture of Paris and another picture of Paris with replacement are independent events.
The probability of picking two Paris pictures is 25/144.
What is an independent event?Independents events are events whose occurrence do not depend on each other. They are random event.
The probability of picking two Paris pictures = (number of Paris pictures / total number of pictures) x (number of Paris pictures / total number of pictures)
5/12 x 5/12 = 25 / 144
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A penny-farthing is a bicycle with a very large front wheel and a much smaller back wheel. Penny-farthings were popular in the 1800s and were available in different sizes. If the front wheel of a penny-farthing has a diameter of 56 inches and the back wheel has a diameter of 14 inches, how many turns does the back wheel make when the penny-farthing travels 100 yards? Use 3.14 for pi.
Answer:
81.9 turns
Step-by-step explanation:
100 yd = 36 × 100 in. = 3600 in.
C = πd
C = 3.14 × 14 in. = 43.96 in.
3600/43.96 = 81.9
Answer: 81.9 turns
common-size analysis is another term used for a ____ analysis
Pls someone
In this diagram, what is the BEST description of the transformation shown?
Answer: B) Rotation
Explanation:
The preimage has been rotated 180 degrees to land on the image.
Proof of this is to note that a point like (2,2) maps to (-2,-2)
The 180 degree rotation rule is [tex](x,y) \to (-x,-y)[/tex]. We flip the signs of each coordinate.
You can accomplish the same thing with two reflections: one over the x axis and the other over the y axis. However, a rotation is more direct.
Look at the given triangles.
triangles
The blue triangle is a right triangle. The vertical leg is labeled with the expression 4 x plus 2. The horizontal leg is labeled with the expression 5 x minus 4. The hypotenuse is labeled with the expression 7 x plus 7.
The red triangle is a right triangle. The vertical leg is labeled with the expression x plus 3. The horizontal leg is labeled with the expression x plus 7. The hypotenuse is labeled with the expression 2 x minus 5.
a. Write an expression in simplest form for the perimeter of each triangle.
b. Write another expression in simplest form that shows the difference between the perimeter of the larger triangle and the perimeter of the smaller triangle.
c. Find the perimeter for each triangle when x = 3
Answer:
Step-by-step explanation:
Blue triangle
a = 4x + 2
b = 5x - 4
c = 7x + 7
-------------------------------------------------
perimeter = a + b + c
4x + 2 + 5x - 4 + 7x + 7
16x + 5
Blue triangle Perimeter = 16x + 5
--------------------------------------------------
Red triangle
a = x + 3
b = x + 7
c = 2x - 5
perimeter = a + b + c
x + 3 + x + 7 + 2x - 5
4x + 5
Red triangle Perimeter = 4x + 5
-----------------------------------------------------
The difference between
Larger triangle -> Blue
Smaller triangle -> Red
(16x + 5) - (4x + 5) = 12x
------------------------------------------------------
Perimeter when x = 3
Blue triangle Perimeter = 16x + 5
16*3 + 5 = 53
Red triangle Perimeter = 4x + 5
4*3 + 5 = 17
Which term should be used in the box?
5(x – 2x + 6x + 10) = 5x – 10x + ? +50
A) 30x
B) 30
C) 11.3
D) 11
Answer:
A) 30x
Step-by-step explanation:
5(x - 2x + 6x + 10)
Distribute:
5(x) + 5(-2x) + 5(6x) + 5(10)
5x - 10x + 30x + 50
Therefore, 5(x - 2x + 6x + 10) is equivalent to 5x - 10x + 30x + 50
Hope this helps!
Answer:
A) 30x
Step-by-step explanation:
Given equation:
5(x – 2x + 6x + 10) = 5x – 10x + ? + 50
Let the "?" be represented as "a". Then,
⇒ 5(x – 2x + 6x + 10) = 5x – 10x + a + 50
[Right hand side] Put all the terms inside a parenthesis (except "a").
⇒ 5(x – 2x + 6x + 10) = 5x – 10x + a + 50
⇒ 5(x – 2x + 6x + 10) = (5x – 10x + 50) + a
Isolate the "a" on one side by subtracting the terms inside the parenthesis.
⇒ 5(x – 2x + 6x + 10) - (5x – 10x + 50) = (5x – 10x + 50) + a - (5x – 10x + 50)
⇒ 5(x – 2x + 6x + 10) - 5x + 10x - 50 = a
[Left hand side] Simplify the distributive property
⇒ 5(x – 2x + 6x + 10) - 5x + 10x - 50 = a
⇒ (5x – 10x + 30x + 50) - 5x + 10x - 50 = a
[Left hand side] Open the parentheses
⇒ (5x – 10x + 30x + 50) - 5x + 10x - 50 = a
⇒ 5x – 10x + 30x + 50 - 5x + 10x - 50 = a
[Left hand side] Combine like terms and simplify
⇒ 5x – 10x + 30x + 50 - 5x + 10x - 50 = a
⇒ x(5 – 10 + 30 - 5 + 10) + (50 - 50) = a
⇒ x(30) = a
[Left hand side] Open the parenthesis and simplify
⇒ x(30) = a
⇒ 30x = a = ?
Therefore, the correct option is A (30x).
A rectangular garden has a length of 6 feet and a width of 3 1/3 feet. Maria wants
to know the area of the garden so she can plan what to plant. Help Maria
determine the area.
Answer:
20 ft²
Step-by-step explanation:
Formula :
Area = length x widthSolving :
Area = 6 x 3 1/3Area = 18 + 2Area = 20 ft²awnser okease quicxkly
Answer:
P': (-9,10)
Q': (-2,10)
R':(-2,0)
S':(-9,0)
Answer:
the answer for all of this question should be.
P=(-9,-10)
Q=(-2,-10)
R=(-2,0)
S=(-9, 0)
so hopefully those are the correct answers and sorry if i get them wrong because i tried my best i could as possible to get them right so have a great day.
Step-by-step explanation:
Which number has a repeating decimal form?
A. the square root of 15
B. 11/15
C. 3/20
D. 2/6
please help me
Determine sin(S) and sin(T).
The ordered pairs in this table lie in the graph of a linear function. Which equation represents the same linear function?
X Y
4 11
0 -1
-2 -7
-5 -16
A. y = x + 2
B. y = 3x – 1
C. y = 3x
D. y = x – 3
The linear equation that represent the pair of points (0, -1) and (4, 11) is y = 3x - 1
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
From the table, using the point (0, -1) and (4, 11), hence:
y - (-1) = [(11 - (-1))/(4 - 0)](x - 0)
y = 3x - 1
The linear equation that represent the pair of points (0, -1) and (4, 11) is y = 3x - 1
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Answer: B
Step-by-step explanation:
Which is the graph of f(x) = x^2 – 2x + 3?
Answer:
The first graph
Step-by-step explanation:
-2x is the key here, when you add a subtraction sign to the x-axis it goes right.
+2x would be the graph on the bottom because it is translated to the left.
So the first graph on your picture is the answer.
Answer+Step-by-step explanation:
x² – 2x + 3 = (x - 1)² + 2
Then
The vertex of the parabola is the point (1 , 2)
then
The graph number 1 (on top) is the one which represents f
Simplify sqrt{5-n}^2 if n<5
The expression √(5 - n)² is a rational expression, and the simplified expression of √(5 - n)² is 5 - n
How to simplify the expression?The expression is given as:
√(5 - n)²
Where n < 5
The inequality n < 5 has no effect on the expression.
So, we have:
√(5 - n)² = 5 - n
Hence, the simplified expression of √(5 - n)² is 5 - n
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Select the correct answer. The graph below shows the height of a seat on a Ferris wheel as the Ferris wheel goes through its rotation. The function describing this graph is a transformation of the parent sine function, y=sin(x). Which value best describes the maximum of the transformed function?
Answer:
105 feet
Step-by-step explanation:
Got it right
Answer:
105
Step-by-step explanation:
correct
Construct a confidence interval using a sample of size 15, with a sample standard deviation of 1.45, a sample mean of 5.3, and a confidence level of 90%. Write your answer EXACTLY as is given by Excel. Do not round.
A confidence interval is the mean of the estimate plus and minus the variation in that estimate.
How to depict the confidence interval?
From the excel, Confidence.T(0.10,1.45,15)
Margin of error = 0.659414066
Lower limit will be;
= mean-0.659414066
= 5.3 - 0.659414066
= 4.640585934
Upper limit will be:
= mean+0.659414066
= 5.3+0.659414066
= 5.959414066
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A cylinder has radius 14 inches and height 12 inches. A cone has the same radius and height.
Round Volume answers to the nearest hundredth.
A) Find the volume of the cylinder. V=
B) Find the volume of the cone. V=
C) What fraction of the cylinder's volume is the cone's volume?
A. The volume of the cylinder is: 7389.03 in.³
B. The volume of the cone is: 2463.01 in.³
C. The volume of the cone is one-third (1/3) of the volume of the cylinder.
What is the Volume of a Cone and a Cylinder?Volume of cone = 1/3πr²hVolume of cylinder = πr²hA. Volume of the cylinder = πr²h = π(14²)(12) = 7389.03 in.³
B. Volume of the cone = 1/3πr²h = 1/3π(14²)(12) = 2463.01 in.³
C. The volume of the cone is one-third (1/3) of the volume of the cylinder.
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Last school year, trent kept track of the amount of time he spent on homework each night. this box plot shows the results. time spent on homework (min.) 20 40 60 80 100 120 what percent of the time did trent spend at least 80 minutes on homework?
The percentage of time spend at least 80 minutes on homework will be 66.66%.
What is the percentage?The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.
Given that:-
The time he spent on homework each night. this box plot shows the results.
The time spent on homework (min.) 20 40 60 80 100 120.
The percentage will be calculated as:-
Maximum time spent = 120 minutes
The percentage for 80 minutes of homework will be:-
= 120 / 80
= 0.66=66 = 66.66%
Therefore the percentage of time spend at least 80 minutes on homework will be 66.66%.
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Answer: 25%
Step-by-step explanation:
The distance traveled by a car traveling at a constant speed is directly proportional to the time spent traveling. If the car went 910 miles in 13 hours, how far will it go in 14 hours
[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{"d" directly proportional to "t"}}{d=kt}\qquad \textit{we also know that} \begin{cases} d=910\\ t=13 \end{cases} \\\\\\ 910=k13\implies \cfrac{910}{13}=k\implies 70=k~\hfill \boxed{d=70t} \\\\\\ \textit{when t=14, what is "d"?}\qquad d=70(14)\implies d=980~miles[/tex]
