Answers
A is 81
7 x 7 x 7 x 7 = 2,401
2,401 x 7 = 16,807
B is 16,807
10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 1000000000
10 x 10 x 10 x 10 x 10 x 10 x 10 = 10000000
1000000000/ 10000000 = 100
C is 100
5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 = 390,625
390,625/ 5 = 78125
D is 78,125
Answer:
see explanation
Step-by-step explanation:
Using the rules of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
[tex]a^{m}[/tex] ÷ [tex]a^{n}[/tex] = [tex]a^{(m-n)}[/tex]
(a)
3² × 3² = [tex]3^{(2+2)}[/tex] = [tex]3^{4}[/tex]
(b)
7 × [tex]7^{4}[/tex] = [tex]7^{(1+4)}[/tex] = [tex]7^{5}[/tex]
c)
[tex]10^{9}[/tex] ÷ [tex]10^{7}[/tex] = [tex]10^{(9-7)}[/tex] = 10²
(d)
[tex]5^{8}[/tex] ÷ 5 = [tex]5^{(8-1)}[/tex] = [tex]5^{7}[/tex]
Related Questions
What is the greatest common factor of 48, 72 and 52? A.2 B.4 C.8 D.16
Answers
the answer is 4 since 4 is common in all the three digits
B).4
ABC is a triangle
AB = AC and BA is parallel to CD
Work out the size of the angle marked x
Answers
Step-by-step explanation:
so as ∆BCE is a right angled triangle
angle BEC = 90°
angle CBE = 22° (given)
apply angle sum property of triangle
so according to that
BCE + CBE + ECB = 180
22° + 90° + ECB = 180
102° + ECB = 180
ECB = 180 - 102
ECB = 78°
and also we know, that exterior angle of a triangle is equal to 2 interior angle of triangle,
so ,
x = 78°
hope this answer helps you dear! take care
What are the values of the two angles?
Answers
Answer:
the angle 3x is 42 degrees, the angle 12x-30=138 degrees
Step-by-step explanation:
first, write an equation to represent the problem.
3x+(12x-30)=180
3x+12x=210
15x=210
x=14
Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day.
We can solve this problem in 2 steps, one being Theory and the second being Solving. I'll start off with Theory.
Theory
There are many theorems in Geometry, from the very simple to the very complex, you also have got the standard information that is usually known by many people.
In this case, we can see that it is a Supplementary Angle. We know that Supplementary Angles add up to 180 degrees and Complementary Angles add up to 90 degrees.
Now that we know that we can solve the problem.
Solving
So, we know that both angles have to add up to 180 degrees because the line is a straight line and that means that the angles on it must be 180 degrees.
Since we know this, we can state the following equation:
[tex]3x+12x-30=180[/tex]
We can say this due to the rule of Supplementary angles adding up to 180 degrees.
We can now use Algebra to simplify the equation:
[tex]3x+12x-30=180\\3x+12x=210\\15x=210\\x=14[/tex]
After doing algebra we can see that x s equal to 14 degrees, we can check our answers by putting that back into the equation.
[tex]3(14)+12(14)-30=180?\\42+168-30=180?\\210-30=180?\\180=180[/tex]
We have proven that our answer is correct, therefore the answer is [tex]x=14[/tex] degrees.
Cheers!
If it takes 7 people 8 days to dig a ditch, how many people would it take to dig the ditch in 1/2 day
Answers
Answer:
112
Step-by-step explanation:
8 days when fitted into a half (1/2) gives you 16
7 times 16 gives the answer of 112 (people needed)
Answer:
112 people to do it in 1/2 of a day
Step-by-step explanation:
7 · 8 = 56
56 ÷ ½ = 112 people to dig a ditch in 1/2 of a day
What is the range
of 98, 99, 100,
90, 98, 100?
Answers
Answer:
10
Step-by-step explanation:
Increasing order:-
90,98,98,99,100,100Range = Highest term - Lowest term
Range = 100 - 90
Range = 10
Hence,
Range of the given term is 10
Answer:
10Step-by-step explanation:
The data set in ascending order:
90, 98, 98, 99, 100It has min = 90, max = 100
The range is the difference between min and max:
100 - 90 = 10Charlie is flying a kite one afternoon and steps on the end of the string to have his
hands free to take a picture. The string is 135 feet long and forms a 68-degree angle
with the ground. How high is his kite at this time? Round to the nearest foot and
enter the number only.
I need the answer quick please!
Answers
Answer:
125.1698 Ft
Step-by-step explanation:
Explain in detail how would you plot the points -1, 5, -2.5, -3, and 2 on the number line. What is the order of the numbers?
PLEASE HELP!!
WILL GIVE BRAINLIEST
ANY WRONG ANSWERS OR LINKS WILL BE REPORTED!!!
Answers
Answer:
-3 -2.5 -1 2 5
Step-by-step explanation:
In order to do this you can look on a number line or you could look at the numbers carefully and the biggest number with a minus is what you start with and end it with a positive number.
Please help I need the answer quickly.
Answers
Answer:
r = ± [tex]\sqrt{q^2-p^4[/tex]
Step-by-step explanation:
p² = [tex]\sqrt{q^2-r^2}[/tex] ( square both sides )
(p² )² = q² - r²
[tex]p^{4}[/tex] = q² - r² ( subtract q² from both sides )
[tex]p^{4}[/tex] - q² = - r² ( multiply through by - 1 )
q² - [tex]p^{4}[/tex] = r² ( take square root of both sides )
± [tex]\sqrt{q^2-p^4}[/tex] = r
What does the y-intercept represent in this situation? The weight of oats, in pounds, in the final mixture. The weight of hay, in pounds in the final mixture. The amount of protein the feed has if no oats are added. The amount of protein the feed has if no hay is added.
Answers
Your welcome!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The y-intercept in the situation given represents: C. The amount of protein the feed has if no oats are added.
What is the Y-intercept of a Linear Function?The y-intercept of a linear function is the initial value or the value of y when x equals 0.
The initial value in this situation is the amount of protein in the feed when the amount of oats added is 0.
Therefore, the y-intercept represents: C. The amount of protein the feed has if no oats are added.
Learn more about the y-intercept on:
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4,00
.
5. Mr. Brown has $410,000 in a retirement account that earns 3.85% interest each year. Find the
amount earned each year by his investment.
Answers
Answer:
9 dollars
Step-by-step explanation:
cuz 9 dollars
A guidance counselor compiles data relating a student's English grade to the number of languages studied. The results are shown in the frequency table below. A 4-column table with 3 rows titled English grade versus number of languages studied. The first column has no label with entries English only, English and another language, total. The second column is labeled 90 or above with entries 15, 110, 125. The third column is labeled lower than 90 with entries 105, 270, 375. The fourth column is labeled total with entries 120, 380, 500. The counselor converts the frequency table to a conditional relative frequency table by column. A 4-column table with 3 rows titled English grade versus number of languages studied. The first column has no label with entries English only, English and another language, total. The second column is labeled 90 or above with entries 0. 12, 0. 88, 1. 0. The third column is labeled lower than 90 with entries 0. 28, 0. 72, 1. 0. The fourth column is labeled total with entries X, Y, 1. 0. What is the value of X? 0. 16 0. 20 0. 24 0. 40.
Answers
Answer:
it's 0.24 because if you do 500/120 in the first data table it gives u 0.24 and bc I just took the test
The frequency table is used to find the relative frequency. The value of x is 0.24. Option C is correct.
How to find the relative frequency?Relative frequency is the ratio of the considered sub-group's count to the total count. (so its frequency of the considered sub group relative to the total frequency).
The given data from the table as follows;
The subgroup count of the column = 120
The total count = 500
Let x be the relative frequency
The relative frequency is found as;
[tex]x = \dfrac{120}{500} \\\\x = 0.24[/tex]
Therefore, the value of x is 0.24. So, Option C is correct.
To learn more about the frequency table;
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Dylan brought his DVD set of The Sleuth in the Shadows Saga to a secondhand store to sell. He was paid cash for all 4 DVDs in the set. Before he left, Dylan used $16.40 of his earnings to purchase a backpack. He had $3.60 remaining. How much did Dylan receive for each DVD in the set?
Answers
Answer: 5$
Step-by-step explanation:
In order to get the total, you would need to add the total spen on the backpack and the amount remaining and then you would divide that by 4 ( for all of the DVDs in the set)
Figure ABCD is transformed to figure A prime B prime C prime D prime, as shown: A coordinate grid is shown from negative 5 to 0 to 5 on both x- and y-axes. A polygon ABCD has A at ordered pair 2, 3, B at ordered pair 4, 4, C at ordered pair 3, 1, D at ordered pair 2, 1. A polygon A prime B prime C prime D prime has A prime at ordered pair negative 1, 3, B prime at ordered pair negative 3, 4, C prime at ordered pair negative 2, 1, D prime at ordered pair negative 1, 1. Which of the following sequences of transformations is used to obtain figure A prime B prime C prime D prime from figure ABCD? Counterclockwise rotation by 90 degrees about the origin followed by a translation to the right by 1 unit Counterclockwise rotation by 90 degrees about the origin followed by a translation to the left by 1 unit Reflection about the x-axis followed by a translation to the left by 1 unit Reflection about the y-axis followed by a translation to the right by 1 unit
Answers
Select the correct answer.
if g(x) = f(1/3x) which statement is true?
OA. The graph of function fis stretched vertically by a scale factor of 3 to create the graph of function g.
ОВ. The graph of function fis stretched horizontally by a scale factor of 3 to create the graph of function g.
oc. The graph of function fis compressed horizontally by a scale factor of 1/3 to create the graph of function g.
Od. The graph of function fis compressed vertically by a scale factor of 1/3 to create the graph of function g.
Answers
Answer:
D
Step-by-step explanation:
It says that f(1/3x)=g(x), so scale factor is 1/3 and it is across the y axis because f(x) is basically y.
The correct statement is that the graph of function f is compressed horizontally by a scale factor of 1/3 to create the graph of function g.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Let us take the function g(x) as f(1/3 x).
This means that g(x) takes the value of f at 1/3 of x's value.
If f(2) = 4, then g(6) = f(1/3×6) = f(2) = 4.
When we replace x with 3x, we are compressing the graph of f horizontally by a factor of 1/3.
This is because every point on the graph of f now has 1/3 of its original x-coordinate.
The point (2, 4) was on the graph of f, it is now on the graph of g as (6, 4).
The scale factor is less than 1 because we are compressing the graph horizontally, which means the x-values are getting smaller.
Therefore, the correct statement is that the graph of function f is compressed horizontally by a scale factor of 1/3 to create the graph of function g.
To learn more on Graph click:
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Given: ΔАВС, m∠ACB = 90° CD ⊥ AB , m∠ACD = 60° BC = 6 cm, find the length of AD
Answers
im not sure sorryyyyyyyyyyyyyyy
Please dont leave any links
Answers
Answer:
a
Step-by-step explanation:
what is the slope?
what is the y-intercept?
is it positive or negative?
Answers
Answer:
A positive y-intercept means the line crosses the y-axis above the origin, while a negative y-intercept means that the line crosses below the origin.
Step-by-step explanation:
Answer:
Slope = m = 2
b = 0
Positive
Step-by-step explanation:
Use formula y=mx+b
y= 2X = 2X+0
m is the number multiplied by X
m = 2
m is greator than zero so the slope is positive
when b is not shown then it is zero
Bonie reduced the size of a photo to a height of 4 in. what is the new width if it was orginally 16 in tall and 8 in wide?
Answers
Answer:
i need help with this one too
Step-by-step explanation:
Answer:
2 inches
Step-by-step explanation:
I hope it helps you!
Find the measures of the interior angles of the triangle.
Answers
Answer:
Imagine that scientists have just discovered a non-bird dinosaur skeleton. They want to know whether the dinosaur was closely related to birds. What features in ...
Step-by-step explanation:
what is the coordinate of the point A?
A) - 0.04
B) - 0.03
C) - 0.02
D) 0
Answers
i just looked at it like a regular number line and thought in between 2 and 4 is 3
so they only correct answer is B
if i can get 4 tastykake snack cakes. 4 for $5.00 how much would it be if i get 2 tastykake snack cakes?
Answers
Answer:
2.50
Step-by-step explanation:
If 4= $5.00
then divided 5.00 by 4=1.25
so 1 = 1.25
1.25x2=2.50
Therefore 2 tastykake snack cakes = $2.50
Answer:
The answer is 2.5
Step-by-step explanation:
5 divided by 4 = 1.25
1.25 times 2 = 2.5
brainliest :)
it takes 3 brick layers 2 hours to build a wall how long would it take 4 brick layers
please show steps in ratio
Answers
Answer:
Ratios are basically proportions so in this scenario
We can make it…
brick layers : hours
We’re given the first one which is
3:2
Whilst the one we need to find is only given for brick
For the unknown hours we can make it “x”
4: x
Now we have 2 ratios
3:2
4:x
Now these are fractions and we can make them equal to each other by
3/2 = 4/x
Now cross multiply to solve for x
3x=8
2 2/3 = x
So 2 2/3 hours
Write your answer as a decimal. If the decimal has more than 2 decimal places, round to 2 decimal places.
Answers
Which pairs of numbers are equivalent?
Select each correct answer.
15/8 and 1 7/8
35/4 and 8 3/4
23/6 and 4 1/6
11/4 and 2 1/2
40/12 and 3 1/3
i need this fast
Answers
Answer:
4 an 5
Step-by-step explanation:
Answer:
15/8 and 1 7/8
35/4 and 8 3/4
40/12 and 3 1/3
Step-by-step explanation:
15/8 and 1 7/8:
Convert the improper fraction into a mixed number: [tex]\frac{8+7}{8}[/tex]
Calculate the sum or difference: [tex]\frac{15}{8}[/tex]
Check equivalency: True
Answer: True
=================================================================
35/4 and 8 3/4
Convert the improper fraction into a mixed number: [tex]\frac{8*4+3}{4}[/tex]
Calculate the product or quotient: [tex]\frac{32+3}{4}[/tex]
Calculate the sum or difference: [tex]\frac{35}{4}[/tex]
Check equivalency: True
Answer: True
================================================================
23/6 and 4 1/6
Convert the improper fraction into a mixed number: [tex]\frac{4*+1}{6}[/tex]
Calculate the product or quotient: [tex]\frac{24+1}{6}[/tex]
Calculate the sum or difference: [tex]\frac{25}{6}[/tex]
Check equivalency: False
Answer: False
===============================================================
40/12 and 3 1/3
Reduce the fraction: 10/3
Convert the improper fraction into a mixed number: [tex]\frac{3*+1}{3}[/tex]
Calculate the product or quotient: [tex]\frac{9+1}{3}[/tex]
Calculate the sum or difference: [tex]\frac{10}{3}[/tex]
Check equivalency: True
Answer: True
================================================================
11/4 and 2 1/2
Convert the improper fraction into a mixed number: [tex]\frac{2*+1}{2}[/tex]
Calculate the product or quotient: [tex]\frac{4+1}{2}[/tex]
Calculate the sum or difference: [tex]\frac{5}{2}[/tex]
Check equivalency: False
Answer: False
Factor the following polynomial completely. x2n – y2n
Answers
Answer:
(x/y)^2n-2n
(x/y)⁰
=1
since any number raised to power of 0 is 1
A yard is 33.22 m long and 17.2 m wide.
(a) What length of fence must be purchased to enclose the entire yard?
(b) What area must be covered if the yard is to be fertilized? PLEASE HELP FOR A TEST
Answers
Answer:
A. = 100.84 m
B. 571.384 cubic m
Step-by-step explanation:
a.
33.22+33.22+17.2+17.2 =100.84m
b.
33.22x17.2 = 571.384 m2
Please help I’m begging you
Answers
Answer:
y = 9
Step-by-step explanation:
The line "y = 9" is parallel to the x-axis and passes through (0,9).
ℎ ℎ 22 2 22 2− 3 +10
Answers
Answer:
wouldn't the answer be 9
Step-by-step explanation:
Answer:
22h^2 + 33 (added) . h⋅h⋅22,2,22,2−3+10 (subtracted)
Step-by-step explanation:
I don't understand what you want so I will list lots of answers hopefully it helps. Please message under my answer for more solutions so I can help you but I hope this started to help you.
Help me slove this -> f(x) = x + 2
f(8) =
Answers
Answer:
f(8)=10
Step-by-step explanation:
f(8) would mean x=8.
So you could replace x with 8 in the equation.
f(8)=8+2
=f(8)=10
I hope this helped!
-3/-4 in simplest form
Answers
3/4
a double negative equals a positive
Answer:
3/4 is your answer
Step-by-step explanation: