Answers
9514 1404 393
Answer:
4^7
Step-by-step explanation:
You know that an exponent signifies repeated multiplication. The value of the exponent is the number of times the base appears as a factor.
You also know that identical factors in the numerator and denominator of a fraction cancel.
The given fraction has 9 factors of 4 in the numerator, and 2 factors of 4 in the denominator. The two in the denominator cancel an equal number in the numerator, leaving a value that has 7 factors of 4:
[tex]\dfrac{4^9}{4^2}=4^{9-2}=\boxed{4^7}[/tex]
Related Questions
If 20% of the students were boys, what fraction were girls?
Answers
Answer:
Girls are 4/5 of the students.
Step-by-step explanation:
boys + girls = 100% of students.
If 20% of the students are boys then 80% are girls
80% = 80/100 = 4/5
The variable r is directly proportional to the square of t, and r = 144 when t = 72.
Write the equation that expresses the relationship between the variables. (Let k represent the variation constant.)
Using the given data, solve for the variation constant k.
Answers
Answer:
k=0.023
Step-by-step explanation:
[tex]r \alpha {t }^{2} \\ r = k {t}^{2} \\ 144 = k \times {72 }^{2} \\ k = \frac{144}{ {72 }^{2} } \\ k = 0.023 \\ the \: eqn \: is \: therefore \\ r = 0.023 \times {t}^{2} [/tex]
The equation that expresses the relationship between the variables is r=kt and the variation constant k=2.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".
Given that, the variable r is directly proportional to the square of t
Now, r∝t
r=kt
Here, r =144 when t =72
Thus, 144=k×72
k=2
Therefore, the equation that expresses the relationship between the variables is r=kt and the variation constant k=2.
To learn more about the proportional relationship visit:
brainly.com/question/12917806.
#SPJ2
Fdgbfrgrth Rheu Hyueheuhuhuhuheeuhuhuhe
Answers
Math is really difficult for my smooth brain
Answers
Answer:
77
try to multiply the 0.85 so u can find a suitable number for the dividend.
The town of Lantana needs $14,000 for a new playground Lantana elementary school raised 5358, Lantana Middle School raised $2,834 and Lantana High school raised $4132. about how much more do they need to raise? Choose the best estimate.
1. 500
2. 2,000
3. 3000
4. they already raised enough money.
Answers
Answer: The answer is actually 1,676. But you can estimate it to 2,000. so the town of Lantana would have about 2,000 dollasrs left to raise to reach there goal.
Step-by-step explanation:
You would first make sure you add all the number like 5,358+2,834+4,132. And once you get you answer you subtract 14,000 from the number you got!
I really hope that helps.
Question 5 - Last night 20 mm of rain fell in 4 h. If it continues raining at the same rate, how
long will it take for 45 cm of rain to fall?
Answers
Answer:
Step-by-step explanation:
45 divided by two
he perimeter of a rectangular field is 342m If the length of the field is 92m what is its width?
Answers
Answer:250
Step-by-step explanation:
342-92
Someone please help me
Answers
Answer:
,
Step-by-step explanation:
all work shown and pictured
Write $1.50 to $12.00 as a ratio in fraction form in lowest terms.
Answers
Answer:
1/8
Step-by-step explanation:
For a project in his Geometry class, Ryan uses a mirror on the ground to measure the height of his school’s football goalpost. He walks a distance of 12.15 meters from the goalpost, then places a mirror on flat on the ground, marked with an X at the center. He then walks 3.4 more meters past the mirror, so that when he turns around and looks down at the mirror, he can see the top of the goalpost clearly marked in the X. His partner measures the distance from his eyes to the ground to be 1.35 meters. How tall is the goalpost? Round your answer to the nearest hundredth of a meter.
Answers
9514 1404 393
Answer:
4.82 m
Step-by-step explanation:
The mirror reflects light at the same angle the light hits it, so the triangles formed by the line of sight, the ground, and the objects involved are similar. This means corresponding lengths are proportional.
height/mirror distance = T/12.15 = 1.35/3.4
Multiplying by 12.15, we find the top of the goalpost to have a height of ...
T = 12.15(1.35/3.4) ≈ 4.82 . . . meters
The goalpost is about 4.82 meters high.
Question 6: 17 pts
Identify the parent function for the function g(x) = x2 - 4 based on its function rule.
Then graph g and identify the transformation of the parent function that it
represents.
linear; translation up 4 units
quadratic; translation up 4 units
quadratic; translation down 4 units
O
linear; translation down 4 units
Answers
Answer:
Parent function is g(x) = x² a quadratic
Step-by-step explanation:
quadratic; translation down 4 units
-4 means the vertex will move down 4
The transformation of the parent function that represents translation down 4 units. Therefore, quadratic; translation down 4 units.
The given function is g(x)=x²-4.
What is the parent function?A parent function is the simplest function that still satisfies the definition of a certain type of function. For example, when we think of the linear functions which make up a family of functions, the parent function would be y = x. This is the simplest linear function.
Quadratic; translation down 4 units:
The parent function of the quadratic family is f(x) = x2. A transformation of the graph of the parent function is represented by the function g(x) = a(x − h)² + k, where a ≠ 0.
The transformation of the parent function that represents translation down 4 units. Therefore, quadratic; translation down 4 units.
To learn more about the parent function visit:
https://brainly.com/question/17939507.
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Complete the equation so that it has one solution.
-2z+3-z=□-4z+2
Answers
answer...
ExplanasionStep-by-step explanation:
Step 1: switch sides and add up.
[tex] z + 1 - x = 0[/tex]
Step 2: switch sides for z is alone
[tex]z = x - 1[/tex]
Note: I used the blank space as x.
Evaluate N2 + 2N + 1 for N = 5.
51
36
21
Answers
Answer:
36
Step-by-step explanation:
N^2 + 2N + 1
Since we are given N = 5, we just substitute N for 5
(5)^2 + 2(5) + 1
25 + 10 + 1
36
Answer: 36
Step-by-step explanation:
5*5 + 5*2 +1 = 25 + 10 + 1 = 36
PLEASE HELP! Economics
Answers
Answer:
B
Step-by-step explanation:
hope it helps, and im finding another question
Answer:
B. a German citizen
Step-by-step explanation:
I think I'm not sure.
PLEASE ANSWER FAST TIMED TEST
Answers
Answer:
0.0000015
Step-by-step explanation:
Please answer right!
Answers
Answer:
Step-by-step explanation:
5x + 2 - 3x - 1 = 3x + 2
5x - 3x - 3x = - 2 + 1 + 2
5x - 6x = 1
-1x = 1
x = 1 / -1
x = -1
June, Gavyn and Alex share some sweets in the ratio 5:3:2. June gets 42 more sweets than Alex. How many sweets does Gavyn get?
Answers
Answer:
42 sweets
Step-by-step explanation:
The ratios are 5 : 3 : 2 = 5x : 3x : 2x (x is a multiplier )
June gets 42 more sweets than Alex , then
5x = 2x + 42 ( subtract 2x from both sides )
3x = 42 ( divide both sides by 3 )
x = 14
Gavyn = 3x = 3 × 14 = 42 sweets
Answer:
42 sweets.
Step-by-step explanation:
First work out the number of parts:
5 + 3 + 2 = 10.
So June gets 5/10 = 1/2 of the sweets.
Alex gets 2/10 = 1/5.
Gavyn gets 3/10.
If the total number of sweets was x, then:
1/2 x - 1/5 x = 42
5/10x - 2/10 x = 42
3/10 x = 42
x = 42*10/3 = 140.
So Gavyn has 3/10 * 140 = 42.
SHEET CAKES
--------------------------------------------
$36 Small (Feeds 12 people)
$46 Medium (Feeds 22 people)
$56 Large (Feeds 32 people)
--------------------------------------------
The new pastry chef at Jackson's Bakery specializes in Sheet cakes for parties. She sold 17 small, 11 medium, and 20 large sheet cakes in one week. How much money did Jackson's Bakery make in one week from sheet cakes?
Answer: $2,245 (I know it for this one but not the next one)
How many people would all of the sheet cakes sold in problem 3 feed?
--------------------------------------------------------------------------------------------------------
(Dont need to tell me the answer just tell the steps I need to do)
Answers
Answer:
The chef sold 17 small sheet cakes. One small sheet cake can feed 12 people, so the small sheet cakes she sold can feed 17*12 people, which is 204 people. Do this for the medium and large sheet cakes as well, and add them up, and you'll get the answer.
Step-by-step explanation:
Hope this helps!
Answer:
1086
Step-by-step explanation:
1. 7x12= 204(small cakes)
2. 11x22=242(medium cakes)
3.20x32=640(large cakes)
4. add all of the products up
so: 204+242+640
= 1086
This should be correct.
The difference between
five-halves of a number and 17 is 48
Answers
Answer:
31, the five halves of is 6.2
Step-by-step explanation:
I really need help on this please
Answers
Answer:
When you simplify you get 5/6. Hence both x can be removed and when divided by the exponents you get x cannot be equal to zero. The Answer is the second.
Step-by-step explanation:
A circle of 5 cm radius is drawn, and another circle 3 cm radius is drawn. What is the radius of a circle that has the same area as the bigger one excluding the cut one?
(a) 2 cm
(b) 3 cm
(c) 4 cm
(d) 5 cm
Answers
Answer:
4 cm
Step-by-step explanation:
find the quotient. (2^4x+4) ÷ (2^x+1)
Answers
Answer:
(16x/2^x+1) + (4/2^x+1
Step-by-step explanation:
the parentheses are there so you know the two arent beside each other
What equals 10³ I need to know
Answers
Answer:
1,000
Step-by-step explanation:
10 x 10 x 10 = 1,000
1000
Step-by-step explanation:
10³
=10×10×10
1000
Give the digits in the hundred thousands place and the ten thousands place.
746,089
Answers
Answer:
Hundred thousands - 7
Ten Thousands- 4
Step-by-step explanation:
if 1 = 33 seconds how much would 1hour be?
Answers
Please answer this question no links please
Answers
Answer:
first I need to know what your question is to be able to answer this question sorry
Answer:
Ummm what is the question?
Step-by-step explanation:
Malachi took cans to the recycling plant and put them into the can-crusher one at a time. After he had already crushed some of the cans, he started recording the number of cans he crushed per minute. This table shows how many cans Malachi put in the can-crusher at different times.
Time (min): 2 , 4 , 6 , 8
Number of cans crushed: 4 , 9 , 64 , 79 , 94
What is the equation that represents Malachi’s situation, where x represents the time and y represents the number of cans crushed?
Answers
Answer:
it is 793
Step-by-step explanation:
Find the volume of the sphere. **30 points**
Either enter an exact answer in terms of pi or with 3.14
Radius=8
Answers
Answer:
The volume of the sphere is 2,143.57
Step-by-step explanation:
The formula for finding the volume of the sphere is
V = [tex]\frac{4}{3}[/tex]π[tex]r^{3}[/tex]
"r" represents the radius of the sphere. So put the value of it in the formula.
V = ([tex]\frac{4}{3}[/tex])(3.14)([tex]8^{3}[/tex])
V = ([tex]\frac{4}{3}[/tex])(3.14)(512)
Multiply all of them and you will get:
2143.57333333 or 2,143.57 which is the volume of the sphere
Angles 1 and 2 are coresponding angles angle 1 is 3x+15 angle 2 is 4x-5 degrees.
what is the value of x
Answers
Answer:
10
Step-by-step explanation:
3x+15+4x-5=180
7x+10=180
7x=170
x=10
A cooking pot holds 35 liters of water. This is 7 times the amount of water a mixing bowl can hold.
How much water can the mixing bowl hold?
A. 5 liters
B. 7 liters
C. 28 liters
D. 245 liters
Answers
Answer is A :) just simply divide 35 and 7 and you get 5!
answer .
5
explanation.
simple just 35 divide by 7
