Simplify (5^-2)^4 Please Help i don’t understand

Answers

Answer 1

Answer:

5^ -8  or  1/ 5^8

Step-by-step explanation:

(5^-2)^4

We know that a^b^c = a^(b*c)

(5^-2)^4 = 5^(-2*4) = 5^(-8)

We know that a^ - b = 1/ a^b

5^ -8 = 1/ 5^8


Related Questions

A blueprint of a new house has a scale of 1inch 5 feet The length of the family room on the family room on the drawing is 4/4 inches. How long is the family room

Answers

Answer:87

Step-by-step explanation:

866

if AB = 3, AD= 5, andDE= 6, what is the length of BC?

Answers

Answer:

D. 3.6

Step-by-step explanation:

=> Taking proportionality of the similar sides to find BC

[tex]\frac{AB}{AD}=\frac{BC}{DE}[/tex]

[tex]\frac{3}{5} = \frac{BC}{6}[/tex]

Multiplying 6 to both sides

[tex]BC = 0.6 * 6[/tex]

BC = 3.6

Select the correct answer from each drop-down menu. A quadrilateral has vertices A(11, -7), B(9, -4), C(11, -1), and D(13, -4). Quadrilateral ABCD is a . If the vertex C(11, -1) were shifted to the point C′(11, 1), quadrilateral ABC′D would be a .

Answers

Answer:

Quadrilateral ABCD is a Quadrilateral with four equal sides so either a rhombus or square

But

Quadrilateral ABC'D is a quadrilateral with two adjacent sides equal so it's a kite shape

Step-by-step explanation:

(11, -7), B(9, -4), C(11, -1), and D(13, -4).

Let's take out the values of x and y coordinate with the way they are arranged

X = 11,9,11,13

Y = -7,-4,-1,-4

So we observe that distance of the coordinates on either x is 2 units and y is 3 units.

But when the the value was changed to

C′(11, 1), (11, -7), B(9, -4), C′(11, 1), and D(13, -4).

There was difference of 2 unit and 4 unit making the new shape a kite.

The diagram attached explain better

Answer:

1. rhombus with non-perpendicular adjacent sides

2. kite

Step-by-step explanation:

i just got it right on edmentum.

Please mark as brainliest.

A publisher reports that 41% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is actually less than the reported percentage. A random sample of 320 found that 36% of the readers owned a laptop. Is there sufficient evidence at the 0.05 level to support the executive's claim? Find the value of the test statistic. Round your answer to two decimal places. Specify if the test is one-tailed or two-tailed. Determine the decision rule for rejecting the null hypothesis, H0. Make the decision to reject or fail to reject the null hypothesis. State the conclusion of the hypothesis test.


Step 1 of 6: State the null and alternative hypotheses.

Answers

Answer:

Step-by-step explanation:

Hello!

The objective is to test the claim that less than 41% of the publisher's readers own a laptop.

To do so, a sample of 320 readers was taken and the proportion of readers that own a laptop resulted in 36%

Be X: number of readers that own a laptop.

X~Bi(n;p)

n=320

Sample proportion p'= 0.36

The hypotheses are:

H₀: p ≥ 0.41

H₁: p < 0.41

α: 0.05

[tex]Z=\frac{p'-p}{\sqrt{\frac{p(1-p)}{n} } }[/tex]≈N(0;1)

[tex]Z_{H_0}=\frac{0.36-0.41}{\sqrt{\frac{0.41(1-0.41)}{320} } }= -1.82[/tex]

This test is one-tailed to the left, meaning, that you'll reject the null hypothesis to small values of Z, there is only one critical value that defined the rejection region:

[tex]Z_{\alpha }= Z_{0.05}= -1.645[/tex]

The decision rule is:

If [tex]Z_{H_0}[/tex] ≤ -1.645, reject the null hypothesis.

If [tex]Z_{H_0}[/tex] > -1.645, do not reject the null hypothesis.

The calculated value is less than the critical value, then the decision is to reject the null hypothesis.

So at a 5% significance level, the test is significant. You can conclude that the population proportion of the publisher's readers that own a laptop is less than 41%.

I hope this helps!

Help ?!!!!?!?????????????????

Answers

I believe the answer is A.

What is the value of x in the equation 1.5(x + 4) - 3 = 4.5(x - 2)?

Answers

the answer is b on edge

Two lines intersect and two of the vertical angles measure 37°. What is the measure of the other two vertical angles?

Answers

Answer:

286 degrees and 143 degrees

Step-by-step explanation:

When line intersect the two vertical angle adds up to 180 degrees

To find the other vertical angle:

180 -37=143 degrees

So for two vertical angles

we take (180*2)-(37*2)=286 degrees

DAN Summer 2020
English
Determining an unknown Angle measure
m26 is (2x - 5)' and m 28 is (x + 5)
What is m 23?
1 2
3 4
5 6
78
Dona

Answers

Answer:

m∠3 = 115°

Step-by-step explanation:

Since measure of angle 6 = (2x - 5)°

And measure of angle 8 = (x + 5)°

Since ∠6 and ∠8 are the supplementary angles,

m∠6 + m∠8 = 180°

(2x - 5)° + (x + 5)° = 180°

3x = 180°

x = 60°

Therefore, m∠6 = (2x - 5) = (120 - 5) = 115°

and m∠8 = (x + 5) = 65°

Since angle 6 and angle 3 are interior alternate angles,

Therefore, m∠6 = m∠3 = 115° will be the answer.

Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below. Alissa got a score of 68.568.5; this version has a mean of 60.460.4 and a standard deviation of 99. Morgan got a score of 252.5252.5; this version has a mean of 227227 and a standard deviation of 1717. Norma got a score of 7.967.96; this version has a mean of 6.76.7 and a standard deviation of 0.70.7. If the company has only one position to fill and prefers to fill it with the applicant who performed best on the aptitude test, which of the applicants should be offered the job?

Answers

Answer:

Due to the higher Z-score, Norma should be offered the job

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

Whoever has the higher z-score should be offered the job.

Alissa:

[tex]X = 68.5, \mu = 60.4, \sigma = 9[/tex]

So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{68.5 - 60.4}{9}[/tex]

[tex]Z = 0.9[/tex]

Morgan:

[tex]X = 252.5, \mu = 227, \sigma = 17[/tex]

So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{252.5 - 227}{17}[/tex]

[tex]Z = 1.5[/tex]

Norma:

[tex]X = 7.96, \mu = 6.7, \sigma = 0.7[tex]

So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{7.96 - 6.7}{0.7}[/tex]

[tex]Z = 1.8[/tex]

Due to the higher Z-score, Norma should be offered the job

One week 72 people got a speeding ticket the next week only 36 people get a speeding ticket what is the percentage of change in the speeding tickets

Answers

Answer:

The answer would be 50%

Step-by-step explanation:

You Would get this by dviding 36/72 which would give you .5 and then you convert that to a percentage

Answer:

50%

Step-by-step explanation:

Who failed to support civil rights for freed slaves? (wrong category by mistake, not mathematics)

Answers

Answer:

The Supreme Court.

Step-by-step explanation:

After the end of the Civil War and the enactment of the Thirteenth Amendment in 1865, slavery was officially abolished in the United States. Thus, the millions of African American slaves that inhabited the southern states of the country won their freedom and equality before the law against whites.

Now this situation began to dismember in 1877, when federal troops left the southern states and Reconstruction officially came to an end. From then on, Democratic governors and legislators began to sanction the Black Codes and Jim Crow Laws, aimed at curtailing the civil and political rights of African-Americans.

This situation was tested before the Supreme Court in 1896 in the case Plessy v. Ferguson. But in the ruling of said case, the Supreme Court established that racial segregation was constitutional and therefore neglected African Americans and their rights.

G(x) =19.60 + 1.75x what is the value of g (30) ?

Answers

Answer:

72.1

Step-by-step explanation:

G(x) =19.60 + 1.75x

Let x = 30

G(30) =19.60 + 1.75*30

          =19.60 +52.5

            72.1

A research firm regularly conducts customer satisfaction surveys for an amusement park. A survey of 100 randomly selected park visitors on a weekday in May concluded the average age of visitors to the park was 37 years. When the survey was repeated with 100 randomly selected park visitors on a Saturday in May the average age of visitors to the park was determined to be 17 years
a) What is the population of interest in this situation?
b) How many samples were described?
c) Is the average age of 37 years a parameter or a statistic?
d) Tell whether this information represents a quantitative or qualitative variable? - age of the visitor - whether the visitor has a season pass
e) What possible explanation is there for the large difference in age between the two samples?

Answers

Answer:

(a) The population of interest in this situation is the average age of visitors to the park in MAY during weekdays or weekends.

(b) Two samples are described in the above situation, that is;

A survey of 100 randomly selected park visitors on a weekday in May.A survey of 100 randomly selected park visitors on a Saturday in May.

(c) The average age of 37 years is a statistic.

(d) The above information represents a quantitative variable.

(e) The possible explanation for the large difference in age between the two samples would be that during weekdays most of the teenagers or children below 20 years of age are not able to come to parks because of their schools, coachings or some studies related work.

Step-by-step explanation:

We are given that a research firm regularly conducts customer satisfaction surveys for an amusement park. A survey of 100 randomly selected park visitors on a weekday in May concluded the average age of visitors to the park was 37 years.

When the survey was repeated with 100 randomly selected park visitors on a Saturday in May the average age of visitors to the park was determined to be 17 years.

(a) The population of interest in this situation is the average age of visitors to the park in MAY during weekdays or weekends.

(b) Two samples are described in the above situation, that is;

A survey of 100 randomly selected park visitors on a weekday in May.A survey of 100 randomly selected park visitors on a Saturday in May.

(c) The average age of 37 years is a statistic as it is the sample average age of visitors to the park on a weekday, i.e. [tex]\bar X_1[/tex] = 37 years.

(d) The above information represents a quantitative variable because in this we are concerned about the average age of visitors in the park which is a numeric value and we are not interested in any qualitative aspect.

(e) The possible explanation for the large difference in age between the two samples would be that during weekdays most of the teenagers or children below 20 years of age are not able to come to parks because of their schools, coachings or some studies related work.

But during weekends like Saturday, the schools or coaching institutions are generally closed due to which they are able to come to parks to play and because of this there are large number of children below 20 years of age who visit parks on weekends.

Lisa reads 46 pages and Sunday 15 pages on Monday and 19 pages on Tuesday which of the following is the closest to the mean number of the pages she read over the three dayperiod

Answers

Answer:

80

Step-by-step explanation:

46+15+19 which should give you a total answer of 80

Solve 5x - c = k for x.

Answers

Answer:

Step-by-step explanation:

5x - c = k

Add c  to each side

5x - c+c = k+c

5x = (k+c)

Divide each side by 5

5x/5 = (k+c)/5

x = (k+c)/5

Answer:

x=(k+c)/5

Step-by-step explanation:

5x-c=k (Original Equation)

5x-c+c=k+c (Addition Property of Equality)

5x=k+c (Simplify)

x=(k+c)/5 (Division Property of Equality)

A country commits to decreasing spending for infrastructure in various ways at a rate of 30% per year. At the time of the announcement, the country is spending $12 billion per year. Which graph models the amount of infrastructure spending for future years?

Answers

Answer:

You want the curve to be decreasing from left to right since they are decreasing the amount spent so we can eliminate options 2 and 3. The initial amount (when x = 0) has to be 12 so the answer is the last option.

Point A on a coordinate grid is at (3, 4). What are the coordinates of R y=x (A)?

Answers

Answer:

  A'(4, 3)

Step-by-step explanation:

When a point is reflected across the line y = x, the transformation is ...

  (x, y) ⇒ (y, x)

  A(3, 4) ⇒ A'(4, 3)

The reflected point is (4, 3).

Put this equation into slope-
intercept form.
3x – 2y = 4

Answers

Answer:

y= 3/2x -2

Step-by-step explanation:

make y be on one side by itself ( -2y = -3x + 4 )

divide by negative 2 in order to get y by itself ( -2y/-2 = -3/-2 + 4/-2 )

two negatives make a positive ( y = 3/2 + -2 )

A type of bacterium triples in population every hour. Assuming you start with
90 bacteria, the formula that models the number of bacteria at the beginning
of hour nis:
a(n) = 90.3n-1
How many bacteria will there be at the beginning of hour 5?​

Answers

Answer:

  7290

Step-by-step explanation:

Put 5 in the formula and evaluate.

  a(5) = 90·3^(5-1) = 90·81 = 7290

There will be 7290 bacteria at the beginning of hour 5.


A circle is defined by the equation given below.

x^2+y^2-x-2y-11/4=0

What are the coordinates for the center of the circle and the length of the radius?

Answers

Answer:

(1/2, 1)

2

Step-by-step explanation:

x² + y² − x − 2y − 11/4 = 0

x² − x + y² − 2y = 11/4

Complete the squares.

x² − x + 1/4 + y² − 2y + 1 = 11/4 + 1/4 + 1

(x − 1/2)² + (y − 1)² = 4

The center of the circle is (1/2, 1) and the radius of the circle is 2.

Answer:

Option  A

Step-by-step explanation:

[tex](\frac{1}2} ,1)[/tex], 2 units

Do consumers spend more on a trip to Target or​ Walmart? Suppose researchers interested in this question collected a systematic sample for 84 Target customers and 80 Walmart customers by asking customers for their purchase amount as they left the store. Using the given summary​ statistics, researchers calculated a​ 95% confidence interval for the mean difference between Target and Walmart purchase amounts. The interval was ​($negative 15.05​,$negative 2.95​). Explain in context what this interval means.

Answers

Answer:

Step-by-step explanation:

Confidence interval for the difference between two population means is written in the form,

difference in sample means ± margin of error

The difference in sample means is the point estimate for the difference in population means. In the given scenario, the point estimate is the difference in mean amount spent by the sampled customers on a trip to Target or​ Walmart.

Since the interval was (- $15.05​,$2.95), it means that the lower limit is - $15.05 and the upper limit us $2.95.

Therefore, the 95% confidence interval is providing a range that we are 95% confident that the true difference in mean amount spent by Target customers and Walmart customers falls between - $15.05​ and $2.95

Find the factorization of the polynomial below.
81x2 - 18x + 1

Answers

Answer:

(9x - 1)²

Step-by-step explanation:

If you can tell, the square root of 81 is 9. This should be a clue that the polynomial could be one binomial squared. If you tried factoring starting out with 9x in both parenthesis, you could see that you would get (9x - 1)² as your answer.

Answer:

(9x-1)²

Step-by-step explanation:

81x² - 18x + 1= (9x)²- 2*9x+1²= (9x-1)²

Find the nth term of this number sequence 7,10,13,16

Answers

Answer:

  aₙ = 7 +3(n -1)

Step-by-step explanation:

The numbers in the given sequence have a common difference, so this is an arithmetic sequence. The formula for the n-th term applies.

  aₙ = a₁ +d(n -1)

Application

The first term is 7. The common difference is 10-7 = 3. Using the above formula for the n-th term, we find it to be ...

  aₙ = 7 +3(n -1)

__

Additional comment

This can be simplified to ...

  aₙ = 3n +4

plsss help meeeeeee I would really appreciate it I would be really happy if u help meeee

Answers

[tex]the \: answer \: is \: 22.4 \: cm \\ please \: see \: the \: attached \: picture \\ for \: full \: solution \\ hope \: it \: helps[/tex]

The length of AE is 22.4cm rounded to one decimal place.

Indigo Depot is having a clearance sale of their summer items. A swimsuit that originally cost $120 before any discount is on sale for 15% off. If the swimsuit is then put on clearance for an additional 40% off the sale price, what is the final price? Round your answer to the nearest cent, if necessary.

Answers

Answer:

20

Step-by-step explanation:

Answer:

$61.20

Step-by-step explanation:

15% sale:

$120 - 15%= $120*0.85= $102

40% sale:

$102 - 40%= $102*0.6= $61.20

graph the function f(x)=(x+2)(x-4). Which describes all of the values for which the graph is negative and decreasing?

Answers

Answer:

[tex]x\in(-2,1)[/tex]

Step-by-step explanation:

We are given that a function

[tex]f(x)=(x+2)(x-4)[/tex]

[tex]f(x)=x^2-2x-8[/tex]

Differentiate w.r.t x

[tex]f'(x)=2x-2[/tex]

[tex]f'(x)=0[/tex]

[tex]2x-2=0[/tex]

[tex]2x=2\implies x=\frac{2}{2}=1[/tex]

Therefore, intervals

[tex](-\infty,1),(1,\infty)[/tex]

Interval :[tex](-\infty,1)[/tex]

x=0

[tex]f'(0)=-2<0[/tex]

Decreasing  function.

Interval:[tex](1,\infty)[/tex]

Substitute x=2

[tex]f'(2)=2(2)-2=2>0[/tex]

Function increasing.

From given graph we can see that function is negative for the values of x

-2<x<4

Hence, the graph is negative and decreasing for the values of x

[tex]x\in(-2,1)[/tex]

Answer:the answer is c/ all real values of x where 1<x<4

Step-by-step explanation:

edge 2020

Triangles L O A and L A M share side L A. Angles O L A and A L M are congruent. What additional information is needed to prove that the triangles are congruent using the AAS congruence theorem? LO ≅ LM OA ≅ MA AngleLOA ≅ AngleLMA AngleLAO ≅ AngleLAM

Answers

Answer:

Angle LOA = angle LMA

Step-by-step explanation:

I just took the test

From the diagram, the two triangles have an indication of a pair of

congruent angles.

The additional information needed is; ∠LOA ≅ ∠LMA

Reasons:

The given parameters of ΔLOA and ΔLAM are;

The shared side of the triangles = Side LA

From the attached diagram, we have;

∠ALO = ∠ALM

Required:

The additional information needed to prove that the triangles are congruent using AAS

Solution:

The AAS congruency is an acronym for Angle Angle Side, which states

that, two triangles are similar if two angles and a non included side of one

triangle are equal to two angles and a non included side on another

triangle, then the two triangles are congruent.

The angle on ΔLOA that will make the side LA a non included side is ∠LOA.

Similarly;

The angle on ΔLAM that will make the side LA a non included side is ∠LMA.

Therefore, the additional information needed to prove that the triangle are congruent using the AAS congruency theorem is; ∠LOA ≅ ∠LMA

Learn more about Angle Angle Side, AAS, rule of congruency here:

https://brainly.com/question/17033697

Which equation has two real solutions?

A. x2 = –100
B. 5x2 = 1
C. 6x2 + 17 = 11
D. 7(x2 + 6) = 42

Answers

Answer:

B. 5x² = 1

Step-by-step explanation:

A. x² = –100

This equation has no solution because x² is always positive.

B. 5x² = 1

then x² = 1/5

then x = 1/(√5) or x = -1/(√5)

C. 6x² + 17 = 11

then 6x² = 11 - 17 = -6

then x² = -6/6 = -1  

This equation has no solution because x² is always positive.

D. 7(x + 6) = 42

then x + 6 = 42/7 = 6

then x = 6 - 6 = 0

_____________________

:)

the correct
9. 5(x - 2) = 15
a. 10
b. 5
c. 1​

Answers

Answer:

the answer is 5

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

5x-10=15

5x=25

x=5

13 different cut flowers and I plan on using 7 of them. How many different selections of the 7 flowers are possible?

Answers

Answer:

7/13

Step-by-step explanation:

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