Which of the following represents the value of x, the missing exponents needed to make the equation a true statement? Explain your reasoning.
(Please answer! I need this ASAP)
Answers
======================================================
Explanation:
The exponent rules are
a^b * a^c = a^(b+c) .... lets call this rule 1(a^b)/(a^c) = a^(b-c) .... lets call this rule 2(a^b)^c = a^(b*c) ......... lets call this rule 3The expression on the right hand side simplifies to c^(-1). We add the exponents to get this. So we're using rule 1 mentioned above.
We'll keep this in mind for later.
------------------
On the left hand side (c^5)^4 becomes c^(20) because we multiply the exponents (rule 3)
Then (c^20)/(c^x) becomes c^(20-x). We subtract exponents here (rule 2).
------------------
After using those exponent rules, the original equation turns into
c^(20-x) = c^(-1)
The bases are both c, so the exponents must be equal
20-x = -1
-x = -1-20
-x = -21
x = 21
Related Questions
What is the whole number quotient and reminder for 32÷6
Answers
Answer: whole number is 5 and remainder is 2
Step-by-step explanation:
six goes into 32 5 times to get 30
32-30=2
X2+3x-4 please do this question ASAP
Answers
Answer: x2+3x−4
Step-by-step explanation: there is no like terms
Answer:
5x-4: x2+3x-4
2x+3x-4
5x-4
Your goal is to take at least 10,000 steps per day. According to your pedometer, you have walked 5274 steps. Write an inequality where x represents the steps you can take to reach your goal.
Answers
Answer:
5,274+x ≥ 10,000
Step-by-step explanation:
We can express that the amount of steps already taken (5,274) plus the amount to go (x) must be at least 10,000.
5,274+x ≥ 10,000
HTH :)
Brainleist!!!!!!
!!!!!!!!!!!!!!!!!
Answers
Answer:
function
Step-by-step explanation:
i have a hunch that is function i need one more brainleist pls
The lifespans of crocodiles have an approximately Normal distribution, with a mean of 18 years and a standard
deviation of 2.6 years. What proportion of crocodiles live less than 14 years?
Find the z-table here.
O 0.0618
O 0.0735
O 0.9265
0.9382
Answers
Answer:
A. 0.0618.
Step-by-step explanation:
14-18= -4
-4/2.6= -1.538
Use the Z-table to find the proportion that aligns with 1.54 (round up because of the 0.008)
The intersection between 1.5 and 0.04 will be 0.0618.
Answer:
A
Step-by-step explanation:
There are
20
%
20%20, percent more goblins than wizards in magic club. There are
120
120120 goblins in magic club.
How many wizards are in the magic club?
Answers
Answer:
100 wizards in magic club
Step-by-step explanation:
20% of 120 is 20 so
120-20=100
A sample of 12001200 computer chips revealed that 53S% of the chips do not fail in the first 10001000 hours of their use. The company's promotional literature claimed that more than 50P% do not fail in the first 10001000 hours of their use. Is there sufficient evidence at the 0.100.10 level to support the company's claim
Answers
Complete Question
A sample of 1200 computer chips revealed that 53% of the chips do not fail in the first 1000 hours of their use. The company's promotional literature claimed that more than 50% do not fail in the first 1000 hours of their use. Is there sufficient evidence at the 0.10 level to support the company's claim
Answer:
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the company's promotional literature claimed that more than 50% do not fail in the first 1000 hours of their use is correct
Step-by-step explanation:
From the question we told that
The sample size is n = 1200
The significance level is [tex]\alpha = 0.100[/tex]
The sample proportion is [tex]\^ p = 0.53[/tex]
The null hypothesis [tex]H_o : p = 0.50[/tex]
The alternative hypothesis is [tex]Ha : p > 0.50[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\^ p - p }{ \sqrt{\frac{p(1 - p )}{n} } }[/tex]
=> [tex]z = \frac{ 0.53 - 0.5 }{ \sqrt{\frac{0.50 (1 - 0.50)}{1200} } }[/tex]
=> [tex]z = 2.078[/tex]
From the z table the area under the normal curve to the right corresponding to 2.078 is
[tex]P(Z > 2.078 ) = 0.018855[/tex]
So
[tex]p-value = 0.018855[/tex]
Generally the value obtained we see that [tex]p-value < \alpha[/tex] , Hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the company's promotional literature claimed that more than 50% do not fail in the first 1000 hours of their use is correct
bithssbsjjsjsnsisjslala
Answers
11. Use the Distributive Property to solve the equation below. Use pencil and paper. Explain why the Distributive Property makes it possible to solve this equation. 37 - (2c + 3) = 4(c + 5) + C
Answers
Answer: C equals 2.
Step-by-step explanation:
37 + (-2c - 3) = 4c + 20 +c (distribute)
34 - 2c = 5c +20 (combine like terms)
14 = 7c (divide)
c = 2
What expression is equivalent to 5 to the 6th power?PlZZZ HElP
Answers
Answer:
125.125
Step-by-step explanation:
i did it trust me
Using exponents, we know that expression (B) 125 × 125 is equivalent to the given expression 5⁶.
What are exponents?Exponentiation is a mathematical process that involves the base b and the exponent or power n. It is represented as bⁿ and is pronounced as "b to the n." The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself. For instance, the number 6 is multiplied by itself four times, yielding 6 6 6 6. You can write this as 6⁴. In this case, the exponent is 4 and the base is 6.So, 5⁶:
We know that 6 = 3 + 3:
Similarly,
5³⁺³We can say that:
5⁶ = 5³⁺³ = 5³ × 5³Now, simplify as follows:
5³ × 5³125 × 125Therefore, using exponents, we know that expression (B) 125 × 125 is equivalent to the given expression 5⁶.
Know more about exponents here:
https://brainly.com/question/11975096
#SPJ2
The complete question is given below:
What expression is equivalent to 5 to the 6th power?
A. 6.5
B. 125.125
C. 25.5.5.5
D. 36.6.6.6
Which function has an inverse that is a function?
b(x) = x2 + 3
d(x) = -9
m(x) = -7x
p(x) = |x|
Answers
Answer:
i aint never seen two pretty bestfriends
Step-by-step explanation:
which scatter plot shows a nonlinear association for the data
Answers
Graph 1 shown in the figure 1 is the scatter plot that shows a nonlinear association for the data.
Non-linear scatter plotWhen the relationship of the scatter plot does not resemble a straight line then that scatter plot is called a Non-linear scatter plot.
How to find the Non-linear scatter plot.In figure 1, the scatter plot of graph 2, graph 3 and graph 4 can resemble a straight line but the graph 1 does not resemble a straight line.
As the slope of that graph also changes.
So, graph 1 is the scatter plot that shows a nonlinear association for the data.
Learn more about scatter plot here- https://brainly.com/question/2655543
#SPJ 2
Evaluate the expression 7+3²× 2
Answers
Answer:
25
Step-by-step explanation:
A _____ has two pairs of parallel sides.
1)Kite
2)Rhombus
3)Trapezoid
Answers
Answer:
3) Trapezoid
It has 4 sides and 2 of the sides are parallel
Answer:
A rhombus
Step-by-step explanation:
The definition of parallel lines is two or more lines that never intersect, are on the same plane, and are the same distance apart no matter what point you measure from. The sides of a rhombus are parallel and the top and bottom of the shape are parallel to each other.
Is -3•-15 positive or negative
Answers
Answer:
positive
Step-by-step explanation:
A negative times a negative is a positive
which property is used in the following? 2(8+9)= 2*8+2*9
a. None of the above
b. Association property
c. Commutative property
d. Multiplication property of zero
Answers
Answer:
A) None of the above
Step-by-step explanation
it's distributive property
25 points if u get it right im in 7th grade so its easy for some ppl
The original price of a chair was $545.00. The store had a sales tax of 4.5%. What is the exact price of the chair, including tax?
Answers
Answer:
569.525 so actually $569.53 probably
Step-by-step explanation:
545*0.045=24.525
24.525+545
Please help
Picture inserted
Multiple choice
Will appreciate it if u help!
Answers
If AB =CD, CD = 9in, BC = 5x, and AD = 53 in. , find x.
35
7
42
6
None of the other answers are correct
Answers
Answer:
Step-by-step explanation:
U right it’s not any of them and if u single I’m here
Answer:
B.
Step-by-step explanation:
AD, the entire segment, is composed of the three segments AB, BC, and CD. In other words:
[tex]AD=AB+BC+CD[/tex]
Since AB=CD, we can substitute:
[tex]AD=CD+BC+CD\\ AD=2CD+BC[/tex]
We know that CD is 9 and BC is 5x. AD is 53. So, substitute:
[tex]53=2(9)+5x[/tex]
Solve for x:
[tex]\begin{aligned} 53&=18+5x \\ 35&=5x \\ 7&=x \end{aligned}[/tex]
The value of x is 7.
Hence, our answer is B.
In the diagram below, \overline{OH} OH start overline, O, H, end overline is parallel to \overline{ID} ID start overline, I, D, end overline. Find the length of \overline{HD} HD start overline, H, D, end overline.
Answers
Answer:
HP=11
Step-by-step explanation:
Now that we have \blueE{HP}HPstart color #0c7f99, H, P, end color #0c7f99, we can find HDHDH, D.
\begin{aligned} HD&=\blueE{HP}+DP \\\\ &=\blueE{2}+9 \\\\ &=11 \end{aligned}
HD
=HP+DP
=2+9
=11
Using the AAA similarity theorem, the length of segment HD in the diagram given is: 11 units.
What is the AAA Similarity Theorem?If all corresponding angles of two triangles are congruent, then, they are similar triangles, based on the AAA similarity theorem.
ΔPOH ~ ΔPID by AAA similarity theorem.
Therefore, their corresponding sides would be proportional. Thus:
PH/PD = PO/PI
Substitute
PH/9 = 6/27
PH = (9 × 6)/27
PH = 2
HD = 2 + 9
HD = 11 units.
Learn more about the AAA similarity theorem on:
https://brainly.com/question/2063552
#SPJ2
A man decides to buy a nice horse. He pays $60 for it, and he is very content with the strong animal. After a year, the value of the horse has increased to $70 and he decides to sell the horse. But already a few days later he regrets his decision to sell the beautiful horse, and he buys it again. Unfortunately he has to pay $80 to get it back, so he loses $10. After another year of owning the horse, he finally decides to sell the horse for $90. What is the overall profit the man makes?
Answers
Answer:
80!
Step-by-step explanation:
Goodluck!
Answer:
Horse Trade
Consider the trade-story as if it describes two separate trades, where:
In the first trade, the man buys something for $60 and sells it again for $70, so he makes a profit of $10.
In the second trade, the man buys something for $80 and sells it again for $90, so he makes again a profit of $10.
Conclusion: The man makes an overall profit of $10 + $10 = $20.
You can also look at the problem as follows: the total expenses are $60 + $80 = $140 and the total earnings are $70 + $90 = $160. The overall profit is therefore $160 - $140 = $20.
Wilt Chamberlin once scored a record 100 points on a combination of 64 foul shots (each worth 1 point) and two-pointers. How many shots of each type did he make? Please show your work!
Answers
Answer:
The answer is 36 two pointers and 64 foul shots.
Step-by-step explanation:
All i did was
100 - 64 = 36
and 36 + 64 = 100
Hope its right :)
Jacob purchased a t-shirt with a price tag of $20.00. After tax he paid $21.60. What was the amount of the sales
tax in dollars?
Answers
Answer:
1.60
Step-by-step explanation:
21.60-20.00= 1.60
Mrs. Jackson earned a $500 bonus for signing a one-year contract to work as a nurse. Her salary is $22 per hour. If her first week’s check including the bonus is $1,204, how many hours did Mrs. Jackson work
Answers
Answer:
32 hours
Step-by-step explanation:
First setup an equation
500 + 22x = 1204 the x represents how many hours she worked an that is what we want to know. So to find out x you do this......
22x + 500 = 1204
1204-500= 704
704/22 = 32
So, X = 32 hours
PLEASE HELPPP!!!!! 15 POINTS
Jose bought 1.5 pounds of apples for $3.60.
How much would 34 of a pound of apples cost?
Enter your answer in the box.
Answers
Answer:
81.6
Step-by-step explanation:
If you do a table and find the unit rate by dividing 3.6/1.5. That gives you 2.4.
Now you multiply 2.4 (the price per pound) by 34 because that's how many pounds you need. You get 81.6
Answer:
$14.28
Step-by-step explanation:
1.5 / 3.60 = 0.42
0.42 * 34 = 14.28
you would divide the pounds by the money because you are trying to find 5e pounds per dollar. So then you get 0.42 the multiply that by 34 and you would get the answer of 34.
Jane has 34 candles leftover from the last craft show and Brianna
has 2 candles. They are making more candles for the next show.
Jane makes 24 candles per hour and Brianna makes 32 candles per
hour. They are also going to use the candles left over from the last
show and want to have the same number of candles at their stalls for
this show. Let h represent the number of hours they need to work
for this.
Answers
Answer:
4 hours
Step-by-step explanation:
Given that the number of leftover candles for Jane = 34
and the number of leftover candles for Brianna = 2
Rate of candle making for Jane = 24 candles/ hour
Rate of candle making for Jane = 32 candles/ hour
As they work for h hours to make candles.
So, in h hours, the number of new candles made by Jane = 24h candles
For Jane, the total number of candles after h houres, including the leftover candles [tex]= 24h+34 \cdots(i)[/tex]
Similarly, in h hours, the number of new candles made by Brianna = 32h candles
For Brianna, the total number of candles after h houres, including the leftover candles [tex]= 32h+2 \cdots(ii).[/tex]
As they want to have the same number of candles at their stalls, so equating the numbers of candles from equations (i) and (ii), we have
[tex]24h+34=32h+2 \\\\\Rightarrow 32h-24h=34-2 \\\\\Rightarrow 8h=32\\\\[/tex]
[tex]\Rightarrow h=32/8=4[/tex] hours.
Hence, both need to work for 4 hours to have the same number of candles.
simplify [tex](3x2y3)3( x3)[/tex]
Answers
The answer is D
The answer is D
the simplified form of (3x²y³/z³)³ is 27 * x⁶ * y⁹ / z⁹. the correct option is A
To simplify the expression (3x²y³/z³)³, we need to apply the power of a power rule. In this rule, we raise each term inside the parentheses to the power outside the parentheses.
So, let's simplify step by step:
(3x²y³/z³)³ = 3³ * (x²)³ * (y³)³ / (z³)³
Simplifying further:
3³ = 27
(x²)³ = x²⁽³⁾ = x⁶
(y³)³ = y³⁽³⁾ = y⁹
(z³)³ = z³⁽³⁾ = z⁹
Combining all the simplified terms, we have:
27 * x⁶ * y⁹ / z⁹
Therefore, the simplified form of (3x²y³/z³)³ is 27 * x⁶ * y⁹ / z⁹. the correct option is A. This expression represents the original expression after raising each term inside the parentheses to the power of 3 and combining them into a single term.
Learn more about expression here
https://brainly.com/question/30717338
#SPJ6
Find the slope of the line through points
(-8,2) and (1,3).
Write your answer in simplest form.
Answers
Answer:
The answer is
[tex] \huge \frac{1}{9} \\ [/tex]
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]
From the question we have
[tex]m = \frac{3 - 2}{1 - - 8} = \frac{1}{1 + 8} = \frac{1}{9} \\ [/tex]
We have the final answer as
[tex] \frac{1}{9} \\ [/tex]
Hope this helps you
With these points, you'll definitely want to answer...BUT ANSWER CORRECTLY OR TO THE BEST OF YOUR KNOWLEDGE
Answers
What is the x-intercept of the graph of - x = 5?
Answers
Answer:
x=-5
Step-by-step explanation:
The x-intercept is x=-5
Answer:-5
Step-by-step explanation:If you draw out the graph, it would be a vertical line at the point -5. Since you are asking for the x intercept, it would be -5