Select the equivalent expression.
\left(9^{6}\cdot 7^{-9}\right)^{-4}=?(9
6
⋅7
−9
)
−4
=?left parenthesis, 9, start superscript, 6, end superscript, dot, 7, start superscript, minus, 9, end superscript, right parenthesis, start superscript, minus, 4, end superscript, equals, question mark
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
9^{24}\cdot 7^{-36}9
24
⋅7
−36
9, start superscript, 24, end superscript, dot, 7, start superscript, minus, 36, end superscript
(Choice B)
B
\dfrac{9^{24}}{7^{36}}
7
36
9
24
start fraction, 9, start superscript, 24, end superscript, divided by, 7, start superscript, 36, end superscript, end fraction
(Choice C)
C
\dfrac{7^{36}}{9^{24}}
9
24
7
36
start fraction, 7, start superscript, 36, end superscript, divided by, 9, start superscript, 24, end superscript, end fraction
Do this problem
- 2 1/4 - (- 3/4)
-2 1/4 + 3/4
- 9/4 + 3/4
3/4 - 9/4
- 6/4
- 3/2
Find the distance between the following two points: (3, 5) and (4, -4)
A.71
B 102
C 82
D 92
Answer:
option c (82) is the answer
WHAT IS THIS?!?!PLS HELP!!!
Answer:
Step-by-step explanation:
idek
question
how would you solve this problem
the ratio of *name*'s age to his brother's is 2:3. In ten years, the ratio would be 4:5. How old is *name* and his brother now and in 10 years?
also how would you solve it if the ratio changed to something different, ex: 1:3 to 3:5 in 10 years
Answer:
*name* is 10 years old now and brother is 15 years now
In 10 years they would be 20 and 25 respectively
Step-by-step explanation:
Let x = *name*'s age now
let y = brother's age now
The first relationship is that the ratio of their ages now is 2:3 or, in fraction form 2/3
That means x/y = 2/3
Cross multiply => 3x = 2y =>
3x - 2y = 0 [1]
10 years from now x would become x + 10 years, y would become y + 10 years and the new ratio is 4/5
So (x + 10)/(y+10 = 4/5
Cross-multiply
5(x + 10) = 4(y + 10)
5x + 50 = 4y + 40
Subtract 4y from both sides
5x + 50 -4y = 40
and subtract 50 from both sides:
5x - 4y = 40 - 50
5x -4y = -10 [2]
Eliminate y terms by multiplying [1] by 2 and subtracting [1] from that
[1] x 2
=> 2(3x - 2y) = 2 x 0
=> 6x - 4y = 0 [3]
[3] - [2]
6x - 4y - (5x -4y) = 0 - (-10)
6x - 4y -5x + 4y = 10
x = 10
Using equation [1] we get
x/y = 2/3
=> 10/y = 2/3
10 x 3/2 = y
5 x 3 = y
y = 15
So their ages are 10 and 15 now.
In 10 years they would be 20 and 25
If the ratios change we would have a different set of equations to solve for
For example if the current ratio is 1/3
Then we would get x/y = 1/3
or 3x - y = 0 [4]
and if 10 years from now the ratio is 3/5 then
(x + 10)/(y + 10) = 3/5
=> 5(x+10) = 3(y + 10)
=> 5x + 50 = 3y + 30
=> 5x - 3y = -20 [5]
And we would solve these equations to get x and y in a similar mannter
FYI the answers would be
x = 5, y = 15
Please help me
ABC has vertices at A(1, 1), B(2, 3), and C(3, 1). DEF has vertices at D(–1, 1) , E(–2, 4), and F(–3, 1). Is ABC congruent to DEF? Choose the correct response.
PLEASE HELP! FINALSSSS!
Stanley won x raffle tickets at the school carnival. Regina won y raffle tickets. Daphne won image as many raffle tickets as Stanley. Keenan won 3 times as many raffle tickets as Regina.
Which expression represents the total number of raffle tickets Stanley, Regina, Daphne, and Keenan have all together?
A. x − 1/2x + y − 3y
B. 3y − y + x − 1/2x
C. x + y + 1/2x + 3y
D. 3y + y − x + 1/2x
Answer:
The answer is c it's the best answer
Please, I need help with this question
Answer:
12 square units
Step-by-step explanation:
The answer might be a little easier to see if we slide that triangle on the left over to turn this shape into a rectangle! This is a technique you can apply to any parallelogram. Looking at the newly constructed rectangle, we can find its area by multiplying its length (2) and width (6) for an area of 2 · 6 = 12 square units.
Answer:
12 units squared
Step-by-step explanation:
Formula for area of a parallelogram:
A = b • h
The base of the parallelogram is 6 units. The height of the parallelogram is 2 units. Multiply the two numbers together. 6 • 2 = 12 units squared.
consider the table of input and output values shown.drag a number to each box to complete the table of values to represent a function
Answer:
1, 3, 5
Step-by-step explanation:
11 is 1, 15 is 3, 9 is 5
Find the slope = m = ?
Answer:
zero
Step-by-step explanation:
slope = y2-y1 / x2-x1
Answer:
I think 27
Step-by-step explanation:
HELP ANSWER THIS I WILL GIVE TEN POINTS AND THANKS!
REMEMBER TO EXPLAIN STEP-BY STEP! AND GET THE CORRECT ANSWER!
The units and tens digits of one-two digit integer are the tens and units digits of another two- digit integer, respectively. If the product of the two integers is 4930, what is their sum?
Answer:
(10t + u)(10u + t) = 4,930
100tu + 10t^2 + 10u^2 + tu = 4,930
101tu + 10t^2 + 10u^2 = 4,930
10t^2 + (101u)t + (10u^2 - 4,930) = 0
(101u)^2 - 4(10)(10u^2 - 4,930)
= 10,201u^2 - 400u^2 + 197,200
= 9,801u^2 + 197,200
We see that u = 5 gives 442,225.
√442,225 = 665
(10t + 5)(50 + t) = 4,930
500t + 10t^2 + 250 + 5t = 4,930
10t^2 + 505t - 4,680 = 0
2t^2 + 101t - 936 = 0
t = (-101 + √(101^2 - 4(2)(-936)))/(2×2)
= (-101 + √17,689)/4
= (-101 + 133)/4 = 32/4 = 8
So the numbers are 58 and 85.
58 + 85 = 143
In a school, 10% of the students have green eyes. Find
the experimental probability that in a group of 4
students, at least one of them has green eyes.
The problem has been simulated by generating random
numbers. The digits 0-9 were used. Let the number "9"
represent the 10% of students with green eyes. A sample
of 20 random numbers is shown.
7918
7910
2546
1390
6075
1230
2386
2816
6147
3806
9436
Experimental Probability = [?]%
0793
7359
3048
5621
9732
5978
5971
6173
1430
Answer:
7918
7910
2546
1390
6075
1230
2386
2816
6147
3806
9436
Experimental Probability = [?]%
0793
7359
3048
5621
9732
5978
Step-by-step explanation:
what is the height of a rectangular prism that has a volume of 28- meters cubed, a length of 8 meters and a width of 7 meters,
Bonsoir svp aidez moi pour demain merci
AEB un triangle isocèle en point E et C le symétrique de A par rapport à E
1)Construire la figure
2)Montrer que le triangle ABC est rectangle
Answer:
the distance from church to school is 1 . 25km and the distance from school to home is 1 . 52km.how much is it from school to home than from church to school in metres
Viet, quinn, and lucy are going to play bingo B 1-15, I-16-30, N-31-45, G-46-60, O-61-75.
Lucy makes a probability model to determine whether the first number drawn will be even or odd. Compare the different probabilities.
Answer:odd. I don't know if I'm right though.
Step-by-step explanation:
I think it's odd as it be -15 which is odd.
I really hope this helps.
PLEASE HELP!!!!! SEMESTER TEST PART 2 K12 PLEASE ANSWER ALL THE QUESTIONS GETS BRAINLIEST
Answ
Step-by-step explanation:
The scale of the architectural drawing is 2 inches = 5 feet. If a building is 10 inches wide on the drawing, how wide will it be in real life?
A
35 feet
B
20 feet
C
30 feet
D
25 feet
Answer:
The answer is D!
Step-by-step explanation:
Firs you have to do 10 divided into 2, the answer is 5. Now you have to do 5 x 5 that will get you 25. So D is the answer! (25 feet)
If you have any question ask me please! :)
What form of 1 should you multiply 2/3 by to get 8/12 as an answer.
Answer: 4
Step-by-step explanation:
Answer:
You should multiply each side of 2/3 by 4 to get 8/12
Step-by-step explanation:
Tell me if you need any farther explanation
2/3 a - 1/6 = 1/3
answer this math question asap pls
Answer:
a=3/4
Step-by-step explanation:
1. Get 2/3a by itself.
•Turn 1/3 to 2/6 by multiplying 1/3 by 2/2.
•Because you only add and subtract like denominators
This will make it look like:
2/3a - 1/6 = 2/6
Then, add 1/6 to both sides to get 2/3a by itself.
It'll look like this:
2/3a = 3/6
2. Get a by itself.
•Multiply the reciprocal (opposite) of 2/3 to get a alone.
This will look like:
(3/2) • 2/3a = (3/2) • 3/6
a = 18/24
3. Simplify.
Find the largest number that can simplify the equation.
For example, 18 ÷ 3 = 6, and 24 ÷ 3 = 8.
But the largest number you can divide both sides by is 6.
18 ÷ 6 = 3 and 24 ÷ 6 = 4.
3/4.
Given a circle with measures of (C, d, and r) and a circle with measures of (C', d', and r'), find r' if C/C' = 0.25 and d = 6.0.
Answer:
12, r' is 12
Step-by-step explanation:
c/c' = 0.25, so c' is 4 times as much as c, the second circle is 4 times bigger than the first. So r' is 4r, we know that d = 6, and r is 1/2 of d, so r = 3, r' is 4r, so r' is 12
Pls help me answer the whole page
Answer:
Pls give brainliest!!
Step-by-step explanation:
Q 10
A. All trapezoids are parallelogram. True
B. All squares are rhombi. True
C. All kites are quadrilaterals. True.
D. All rectangles are trapezoids. False
Q 11
A is a rhombus
B is a kite
C is a quadrilateral
D is a trapezoid
Q 12
A square is a Parallelogram
A rectangle is a Parallelogram
A trapezoid is a Parallelogram
A rhombus is a Parallelogram
A Kite is NOT a Parallelogram
Angel participated in a local candy bar-eating contest. The graph below shows the number of candy bars he ate. What is Angel's average rate of change?
A. 1 candy bar per 3 minutes
B. 0.5 candy bar per 1 minute
C. 1.5 candy bars per 0.5 minutes
D. 3 candy bars per 1 minute
What is the volume of this shape? Will give brainliest. Middle school geometry
The answer is apparently 144 inches^3 but i don't know how to get that
Answer:
96in³
Step-by-step explanation:
Area of trapezium = ½ X (sum of parallel sides) X distance between them
= 1/2 (4 + 12) X 6
= 1/2 X 16 X 6
= 48.
volume = 2 X 48
= 96in³
This year Yolanda watched 80 movies. She thought that 20 of them were very good. Of the movies she watched, what percentage did she rate as very good?
plz help i dont know this i will mark brainliest if correct answer only
Giving the points it's worth.
Answer:
just double the number each time.
Step-by-step explanation:
so it would be 1, 2, 4, 8, 16, 32, 64, etc.
Please help!
2. A football coach recorded his team’s game scores over a football season. The scores are 21, 45, 21, 14, 21, 28, 24, 14, 24, 28.
(a) Find the mean absolute deviation of the data. Round to the nearest tenth.
(b) Interpret the mean absolute deviation of the data within the context of the problem.
(c) Explain how removing the outlier, 45, affects the mean absolute deviation.
4. Two random samples are shown from two different populations. Sample 1 represents the monthly cost of living for a single person. Sample 2 represents the monthly cost of living for a married couple with one child.
Sample 1: {$1800, $2000, $2200, $2300, $2500, $3000}
Sample 2: {$5400, $5500, $5600, $5600, $5800, $6000}
(a) Calculate the mean and the median of each population.
(b) Draw a conclusion about the populations based on the measures of center.
Answer:
2a. 5.8
2b. On average, a score will be 5.8 points away from the average score.
2c. The score will be about 2 points nearer to the average.
4a1. Sample 1 Mean: $2300; Sample 1 Median: $2250.
4a2. Sample 2 Mean: $5650; Sample 2 Median: $5600.
4b. The monthly cost of living is more expensive for a married couple w/ 1 child than for a single person.
Step-by-step explanation:
2a./2b.
In order to find the mean absolute deviation, we need to first find the mean.
(21 + 45 + 21 + 14 + 21 + 28 + 24 + 14 + 24 + 28)/10
(66 + 35 + 49 + 38 + 52)/10
(101 + 87 + 52)/10
(101 + 139)/10
240/10
The mean of this set is 24.
Now for the deviation.
21 - 24 = -345 - 24 = 2114 - 24 = -1028 - 24 = 424 - 24 = 0For the mean absolute deviation, divide the combined value of the 10 deviation values from before (in absolute value) by 10.
(|-3| + 21 + |-3| + |-10| + |-3| + 4 + |-10| + 4)/10
(3 + 25 + 3 + 10 + 3 + 10 + 4)/10
(28 + 13 + 13 + 4)/10
(41 + 17)/10
58/10
The mean absolute deviation is 5.8. That interpreted would be like this: A score, on average, is 5.8 points away from the average score.
2c.
What I'll do here is the following: subtract 45 from 240, and then subtract 21 from the mean deviations. In both cases, I will now divide by 9.
(240 - 45)/9
195/9
65/3
The mean of the set (without 45) is now 21 2/3.
(58 - 21)/9
37/9
The new mean absolute deviation is 4 1/9, which rounds to 4.1. That's 1.7 points nearer to the average than originally.
So, without 45 as one of the scores, the M.A.D. decreases by about 2. That interpreted would be like this: The scores are about 2 points nearer to the average than before.
4a./4b.
First, I'll find the mean for sample one.
(1800 + 2000 + 2200 + 2300 + 2500 + 3000)/6
(3800 + 4500 + 5500)/6
(8300 + 5500)/6
13800/6
The mean for sample one is $2,300/month.
Now for the median for sample one. Since there are 6 values, add the two middle values and divide by 2.
(2200 + 2300)/2
4500/2
The median for sample one is $2,250/month.
Now for the mean & median for sample two.
Mean:
(5400 + 5500 + 5600 + 5600 + 5800 + 6000)/6
(10900 + 11200 + 11800)/6
(22100 + 11800)/6
33900/6
The mean for sample two is $5,650/month.
Median:
Again, there are 6 values. However, this time they are the same, so there is no need to divide. The median for sample two is $5,600/month.
Looking at the data, the mean & median for sample was larger than sample one. Thus, I can conclude the following: The monthly cost of living is more expensive for a married couple w/ 1 child than for a single person.
Translate the sentence into an equation. Two less than the product of 5 and a number equals 9. Use the variable c for the unknown number.
Answer:
The equation is: \(5c-2=9\)
Step-by-step explanation:
Since 2 less than the product of 5 and a number c is equal to 9, it follows:
\(5c-2=9\)
Estimate the percentage: 6,683 of 20,489
a. 0.3% c. 3%
b. 43.3% d. 33.3%
Trisha is going to make a border of icing around a circular cake with a diameter of 8 inches.
Which of the following represents the amount of icing Trisha will need?
a. 12.56 inches
b. 25.12 inches
c. 18.62 inches
d. 50.24 inches
Answer:
Step-by-step explanation:
la b
Answer:
B.)25.12
Step-by-step explanation:
We are simply finding the perimeter of the cake
.Perimeter: π × diameter
Perimeter: 3.14 × 8
Perimeter: 25.12 inches
The cost of the piece of granite is $137.70. What would you expect to pay for a similar piece of granite that is 108 inches by 60 inches?
Answer:
2203.20
Step-by-step explanation:
The first piece is 15 by 27 = 405 sq in. (as shown in the pic someone else posted.)
$137.70 / 405 = 34 cents per sq in\
A piece that is 108 by 60 = 6480 sq in
6480 x .34 = $2,203.20