Answers
Answer:
1/36
Step-by-step explanation:
(1/4 times 2/3)^2
cancel out greatest common factor (2)
(1/2 times 1/3)^2
multiply
(1/6)^2
1/36
Answer:
[tex]\textsf{B)}\quad \dfrac{1}{36}[/tex]
Step-by-step explanation:
[tex]\textsf{Simplify}\quad \left(\dfrac14\right)^2 \cdot \left(\dfrac23\right)^2[/tex]
[tex]\textsf{Apply exponent rule}\quad \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}:[/tex]
[tex]\implies \left(\dfrac{1^2}{4^2}\right) \cdot \left(\dfrac{2^2}{3^2}\right)[/tex]
[tex]\implies \dfrac{1}{16} \cdot \dfrac{4}{9}[/tex]
[tex]\textsf{Apply the fraction rule}\quad \dfrac{a}{b} \cdot \dfrac{c}{d}=\dfrac{a \cdot c}{b \cdot d}:[/tex]
[tex]\implies \dfrac{1\cdot 4}{16 \cdot 9}[/tex]
[tex]\implies \dfrac{4}{144}[/tex]
[tex]\textsf{Simplify by dividing the numerator and denominator by the GCF of 4}:[/tex]
[tex]\implies \dfrac{4 \div 4}{144 \div 4}[/tex]
[tex]\implies \dfrac{1}{36}[/tex]
Related Questions
Scooby and Shaggy have a new job!
Answers
answer: x < 8
Step-by-step explanation: the inequailty is 100 + 7.55x < 160 if you subtract 100 on both sides you get 7.55x < 60 divide 7.55 you should get 7.947 which rounds up to 8 so your answer would be x < 8
Sanjay called random phone numbers in his state until he reached 1,000 people. Among those who answered the phone, 385 consented to participate in Sanjay's survey.
Is this a random sample of the people in the state?
Answer as Yes or No
Answers
Answer: NO
Step-by-step explanation:
This is because if you think about it, only the people that want to do the survey do it. Those who dont want to do it dont have to. This makes it voluntary. Any time the surveyed person gets to choose if they can do it it is voluntary. Furthermore, If it is voluntary it can usually represent all of the different peoples. But in this case, the shy people dont get a say because they would choose to not survey. So the shy people would not be represented. That is why this isn't random.
100 Points!
Use the function f(x) to answer the questions:
f(x) = 4x2 − 7x − 15
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)
Answers
Part A: x = -5/4, 3 || (-5/4, 0) (3, 0)
To find the x-intercepts, we need to know where y is equal to 0. So, we will set the function equal to 0 and solve for x.
4x^2 - 7x - 15 = 0
4 x 15 = 60 || -12 x 5 = 60 || -12 + 5 = -7
4x^2 - 12x + 5x - 15 = 0
4x(x - 3) + 5(x - 3) = 0
(4x + 5)(x - 3) = 0
4x + 5 = 0
x = -5/4
x - 3 = 0
x = 3
Part B: minimum, (7/8, -289/16)
The vertex of the graph will be a minimum. This is because the parabola is positive, meaning that it opens to the top.
To find the coordinates of the parabola, we start with the x-coordinate. The x-coordinate can be found using the equation -b/2a.
b = -7
a = 4
x = -(-7) / 2(4) = 7/8
Now that we know the x-value, we can plug it into the function and solve for the y-value.
y = 4(7/8)^2 - 7(7/8) - 15
y = 4(49/64) - 49/8 - 15
y = 196/64 - 392/64 - 960/64
y = -1156/64 = -289/16 = -18 1/16
Part C:
First, start by graphing the vertex. Then, use the x-intercepts and graph those. At this point we should have three points in a sort of triangle shape. If we did it right, each of the x-values will be an equal distance from the vertex. After we have those points graphed, it is time to draw in the parabola. Knowing that the parabola is positive, we draw in a U shape that passes through each of the three points and opens toward the top of the coordinate grid.
Hope this helps!
Answer:
Give the other guy brainliest
Step-by-step explanation:
Part A: The x-intercepts are (-5/4, 0) and (3, 0)
0=4x^2-7x-15
0=4x^2-12x+5x-15
0=4x(x-3)+5(x-3)
0=(4x+5)(x-3)
Basic math:
x=-5/4
x=3
Part B: The vertex is going to be minimum because if a>0, then the parabola opens up and it is a minimum (a as in ax^2+bx+c).
In order to find the vertex's coordinates, we can use -b/2a. In the equation, b=-7, and a=4. The formula would look like or 7/8. We now know the x coordinate. We can use that to find the y value.
y=4(7/8)^2-7(7/8)-15=y=18 =-18.0625=289/16
Part C: Graph the x-intercepts found in part A, then graph the vertex found in part B. Then graph a U shape that opens up going through all the points to make the parabola. Because it is positive, the U will face up, not down.
At the bottom is a completed addition problem with all the digits replaced by letters. Every letter represents a single digit and different letters represent different digits. What digit might the letter T represent?
MH+ MH+ MH = TM
Please Help ASAP
BRAINLIEST
Answers
(H=1, M =3)
Step-by-step explanation:
We know MH+MH+MH=TM
MH is a two digit number, and TM is also a
two digit number.
MH+MH+MH=3*MH<100
3M<=9, meaning that M could be 1, 2, or 3.
If M=1,
MH+MH+MH=3(10+H)=30+3H=TM=10*T+1
30+3H=10T+1, so 3H must include 1 in one's
digit.
The only possibility is that 3H = 21, then H = 7
MH+MH+MH=17+17+17=TM=51, T = 5
If M=2.
MH+MH+MH=3(20+H)=60+3H=TM=10T+2
60+3H=10T+2, so 3H must include 2 in one's
digit.
The only possibility is 3H = 12, then H = 4
MH+MH+MH=24+24+24=72, T = 7
IT IM=4,
MH+MH+MH=3(20+H)=60+3H=TM=10T+2
60+3H=10T+2, so 3H must include 2 in one's
digit.
The only possibility is 3H = 12, then H = 4
MH+MH+MH=24+24+24=72. T=7
If M=3.
MH+MH+MH=3(30+H)=90+3H=TM=10T+3
90+3H=10T+3, so 3H must include 3 in one's
digit.
The only possibility is 3H = 3, then H =1
MH+MH+MH=31+31+31=93. T=9 please mark brainiest thanks
The owner of a small store buys coats for $55.00 each.
Part 1
a. sells the coats for $77.00 each. What percent of the purchase price is the sale price?
Answers
Answer:
71.43%
Step-by-step explanation:
$77___100%
$55___x=71.43%
$55*100/$77 = 71.43%
$77—100% is total amount of money
$55—x=71.43%—which is left
Then we times them and divide 100*$55/$77=71.43
Which is our answer! Hope it helps
The following shape has 1 pair of parallel sides.
What is the area of the shape?
Answers
Answer:
57
Step-by-step explanation:
There's three shapes, 2 triangles and 1 rectangle.
1. To find the area of a rectangle multiply the legth x width, so 5*2, which is 10.
2. To find the area of a traingle multiply the length and width, and then divide that by two. For the smaller triangle do 6*5, which is 30, and divide that by 2 for 15.
3. The big triangle shows the length of one side but not on the other. Because the length of the rectangle is the same on both sides, and the length 3 and 5 are on the same line, the other length of the large triangle is 8.
4. 8*8 is 64, and dividing that by 2 is 32.
5. Add all of the numbers: 10+15+32, which is 57.
The area of a 2D form is the amount of space within its perimeter. The total area of the given figure is 57 inches².
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
Let the given figure be divided into three parts. Such that the triangle on the left side or the bigger triangle is represented by A and the triangle on the right side of the smaller triangle is represented by B. The area of the given shape can be written as,
Area of triangle A = 1/2 × Height of triangle A × Base of the triangle A = 1/2 × 8 inches × 8 inches
= 32 inches²
Area of rectangle = Length × Breadth
= 5 inches × 2 inches
= 10 inches²
Area of triangle B = 1/2 × Height of triangle B × Base of the triangle B = 1/2 × 5 inches × 6 inches
= 15 inches²
Further, the total area of the shape can be written as,
Total area = 32 inches² + 10 inches² + 15 inches²
= 57 inches²
Hence, the total area of the given figure is 57 inches².
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brainliest* find the diameter of the circles (show work of all three)
Answers
Answer:
4. 30 ft
5. 4m
6. 32 mm
Step-by-step explanation:
Diameter = 2(radius)
Since they give the radius in all of them, you multiply the radius by 2 for all.
4. 15 * 2 = 30 ft
5. 2 * 2 = 4 m
6. 16 * 2 = 32 mm
Answer:
4. 30 ft 5. 4m 6. 32 mm
Step-by-step explanation:
How many times bigger is 3.45×10⁹ than 0.5×10⁴
Answers
Answer:
It's 50,000 times bigger.
Step-by-step explanation:
3×10¹⁵ ÷ 6×10¹⁰ = (3 ÷ 6)×(10¹⁵÷10¹⁰) = 0.5×10¹⁵⁻¹⁰ = (5×10⁻¹)×10⁵ = 5×10⁻¹⁺⁵ = 5×10⁴ It is 5×10⁴ (= 50,000) times bigger.
0.5 x 10^4= 5000
Then divide
690,000 times bigger?? I’m not sure lmk if I’m wrong
what is reflection and reflected
Answers
Answer:
Reflection is every point is the same distance from a central line
Reflected is a transformation representing a flip of a figure
Step-by-step explanation:
Sorry!!!!
reflected: the new shape you’ve drawn over the line has been reflected
3a-2b=50, 2a+3b=100 what does a equal and what does b equal?
Answers
Answer: I got A is 350 over 13 and B is 400 over -13
Step-by-step explanation:
Hope this helps!
The committee spends $640 dollars on spotlights.
Create an equation that can be used to find x, the number of spotlights the committee rented.
Answers
Answer:
32 spot light
Step-by-step explanation:
lets say each spot light was 20$ the answer would be 32 cuz 32 x 20 = 640 so our equation would be 640 ÷ 20 = x and x = 32
Please help! -The volume inside a rectangular storage room is 2,052 cubic feet. The room is 9 feet high. Find the area of the floor.
Answers
Answer:
volume=Length x width x height
so area is Length x width, therefore you would just take 2,025 and divide by 9 to get 225 sq. ft for the area.
Step-by-step explanation:
Answer:
227 square feet
Step-by-step explanation:
The volume of a rectangular prism is given by the formula ...
V = Bh
where B is the area of the base, and h is the height.
Filling in the given information, we have ...
2043 ft³ = B·(9 ft)
Dividing by the coefficient of B gives its value:
B = (2043 ft³)/(9 ft) = 227 ft²
The area of the floor is 227 square feet.
I hope this helped have a great day
The area of Russia is about 1.71 x 107 square kilometers. The area of Jamaica is about 1.10 x 104 square miles. How many times larger is Russia than Jamaica? Write your answer in scientific notation, and round the decimal part of your answer to two decimal places.
Answers
Answer:
2 x 10^3 times
Step-by-step explanation:
-lukelaws
I hope I helped if I did please mark me brainliest!
can you help please thank you
Answers
Answer:
1) y=3 (0,3)
2) y=7 (4,7)
3) y=8 (5,8)
4) y=9 (6,9)
Step-by-step explanation:
These are the answer because you are just adding 3 to the x coordinate which will be the number for the y coordinate.
James had 25% more paper clips than Andy. Mary had 70 paper clips. If the three of them had 520 paper clips altogether, express Mary's paper clips as a percent of Andy's paper clips.
Answers
Answer:
Percentage is a part of a whole. The percentage change in the number of paper clips is 12.5%.
Given to us
Number of Paper clips Initialy= 72
Number of Paper clips now = 63
We know that the paper clip, in the beginning, was 72 but later on it was reduced to 63. therefore, the paper clips were reduced from the initial value.
\text{Percentage change} =\rm \dfrac{Initial\ value\ - final\ value}{Initial\ value} \times 100Percentage change=
Initial value
Initial value −final value
×100
Substitute the value,
\text{The percentage change in the paperclip } =\rm \dfrac{Initial\ value\ - final\ value}{Initial\ value} \times 100The percentage change in the paperclip =
Initial value
Initial value −final value
×100
\begin{gathered}\begin{aligned}\text{The percentage change in the paperclip } &=\rm \dfrac{72-63}{72} \times 100\\\\&= 12.5\% \end{aligned}\end{gathered}
The percentage change in the paperclip
=
72
72−63
×100
=12.5%
Hence, the percentage change in the number of paper clips is 12.5%.
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Step-by-step explanation:
THIS ANSWER IS CORRECT
BRAIN LESS ANSWER
How many micrometers are in a decimeter and how many millimeters are in a nanometer? The table is shown below with the length of the unit (in meters).
Answers
100000 micrometers
1 nanometer=
1 × 10^-6 millimeter
1 × 10-6= 0.0000001
(HELP)The two numbers rolled can be added to get a sum. Find P (sum is greater than 5)
5/6
13/18
5/18
1/3
Answers
Answer:
13/18
Step-by-step explanation:
im a math teacher at k12 online school
Explanation:
1) Draw a table
+ 1 2 3 4 5 6
1 2 3 4 5 6 7
2 3 4 5 6 7 8
3 4 5 6 7 8 9
4 5 6 7 8 9 10
5 6 7 8 9 10 11
6 7 8 9 10 11 12
2) Then you count how many are above 5 (not in bold). I got 26, so this will be your numerator.
3) Finally, for the denominator, do 6x6 which is 36.
Answer:
Your answer as a fraction will be 26/36 (if asked to simplify, then it's 13/18)
A magician is doing a trick that needs 3 volunteers and he has 100 audience members to choose from. How many different ways can the magician choose his volunteers?
Answers
Answer:
he can use a random sample or a random number generator which is a tool for making or generating numbers with no pattern to make a good representative of that population but it can be more if you want. He can also choose three people or more by asking them to raise their hand who wants to be a volunteer and do not raise their hand if they dont want. So hopefully those are the two ways.
Step-by-step explanation: Sorry if i get it wrong but i tried my best i had.
(do all three and show work) find the circumference of the circle. use 3.14 or [tex]\frac{22}{7}[/tex] for [tex]\pi[/tex]
Answers
Answer: 3: 50.24
Step-by-step explanation: 3: because to find the circumferrence you would do 3.14×8 the radius 25.12×2= 50.24, now with that try the other 2
Suppose the probabilities for the letters on a spinner are known to be: p(A)=1/4 p(B)=1/3 p(C)=5/12 predict the number of times you would land on each letter if you were to spin the spinner 12times
Answers
Answer:
you'd land on A 3 times, on B 4 times, C 5 times
Step-by-step explanation:
you simply have to divide 12 by each of the values
so basically:
A= 12 : 4
B= 12 : 3
C= Well it's 5 out of 12 so the answers already there
Identify an acute angle and give its measure.
Answers
Answer:
k&F 20 degrees
Step-by-step explanation:
hope it helps
GIVING BRAINLIEST AND 100 POINTS!!!
Complete the pattern on the table for the cost of 0, 1, 2, and 3 ice cream treats. Then write the ordered pair for each row.
Answers
Answer:
I need the table, if you give the table ill answer it right away.
Step-by-step explanation:
Math help!
77-999+6 divided by 2 =
Answers
Find the measure of angle six
Answers
If you see an angle that makes a perfect L shape/ looks like the corner of a square it is a right angle which is always 90°
If you see a straight line with no bend in it then it is 180°
The weights (in ounces) of several moon rocks are shown in the table. Find the mean, median, and mode of the weights. Moon Rock Weights (ounces) 2.2 2.2 3.2 2.4 2.8 3.4 2.6 3.0 2.5
Answers
Answer:
the mode that repeats the most is 2.2 becuase to find it you need to find the number that repeats the most in the table. To find the median you add all the numbers and divide them to get the answer that is 2.7 for the mean but to find the median you need to order them from least to greatest and the answer you get for the median is 2.6 so hopefully that is the correct answer for all of them.
Step-by-step explanation: Mark me brainliest please if you want and see you next time :DDDDDDDDD
A table has a wooden support that is in the approximate shape of a cone. The base of the cone has an area of about 201.1 square inches. If the volume of the cone is about 2,144.7 cubic inches, what is the height?
Answer choices:
A)
28 in.
B)
30 in.
C)
32 in.
D)
40 in.
Answers
The height of a cone with a volume and base area of 2,144.7 cubic inches and 201.1 square inches respectively is 32 inches
How to find height of a cone using the volume formula?volume of a cone = 1 / 3 πr²h
where
r = radiush = heightTherefore,
volume of the cone = 2,144.7 cubic inches
Base area = 201.1 square inches.
πr² = Base area
Therefore,
2144.7 = 1 / 3 × 201.1 × h
6434.1 = 201.1 h
h = 6434.1 / 201.1
h = 31.9945300845
h = 32 inches
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Which of these is a pair of adjacent angles?
Answers
Answer:
C.
Step-by-step explanation:
PLEASE HELP ME. PLEASE.
Answers
Answer:
See below ~
Step-by-step explanation:
A)
3(-18)(5)-90(3)-270CorrectB)
(-7)(-3)(10)21(10)210CorrectC)
(4)(-25)(-10)250(4)1,000 CorrectD)
(-3)(-5)(8)15(8)120 ≠ -120IncorrectE)
(-10)(-10)(-10)100(-10)-1,000 ≠ -10,000IncorrectAnswer:
A, B and C are correct
Step-by-step explanation:
[tex](-a)(b)=-ab[/tex]
[tex](-a)(-b)=ab[/tex]
[tex]\sf A) \quad 3(-18)(5)=3(-90)=-270[/tex]
[tex]\sf B) \quad (-7)(-3)(10)=7 \cdot 3 (10)=21(10)=210[/tex]
[tex]\sf C) \quad (4)(-25)(-10)=(4)(25 \cdot 10)=(4)(250)=1000[/tex]
[tex]\sf D) \quad (-3)(-5)(8)=(3 \cdot 5)(8)=(15)(8)=120[/tex]
[tex]\sf E) \quad (-10)(-10)(-10)=(10 \cdot 10)(-10)=(100)(-10)=-1000[/tex]
July bought 16 quarts of vinegar for $10.40. How much did she pay for 1 quart of vinegar?
Answers
Answer:
1.53$
Step-by-step explanation:
Do the equation 16 / 10.40 = 1.53.
pls give brainliest
What is the SURFACE AREA of this TRIANGULAR PRISM? Base:6ft Height:2ft Length:6ft Width:10ft
Answers
Answer:
I think it would be 120
Step-by-step explanation:
6x10x2=120