Simplify the expression.
a)1/64
b)2^-30
c)64
d)2^30
[tex]\left(\dfrac{(-1)^5}{(-2)^{-3}} \right)^2\\\\\\=\left(\dfrac{-1}{\dfrac{1}{(-2)^3}} \right)^2\\\\\\=\left(-1 \times -8\right)^2\\\\=8^2\\\\=64[/tex]
Answer:
[tex]\huge\boxed{\bf\:64}[/tex]
Step-by-step explanation:
[tex]\left(\frac{(-1)^{5}}{\left(-2\right)^{-3}}\right)^{2}[/tex]
Now, simplify [tex](-1)^{5} = -1[/tex]. Then,
[tex]\left(\frac{-1}{\left(-2\right)^{-3}}\right)^{2}[/tex]
Calculate: [tex](-2)^{-3} = \frac{1}{(-2)^{3}} = - \frac{1}{8}[/tex].
[tex]\left(\frac{-1}{-\frac{1}{8}}\right)^{2}[/tex]
Divide [tex]-1[/tex] by [tex]- \frac{1}{8}[/tex]. The result will be [tex]8.[/tex]
[tex]\left(-\left(-8\right)\right)^{2} \\= 8^{2}[/tex]
Calculate [tex]8[/tex] to its square which is [tex]64.[/tex]
[tex]8^{2}\\=\boxed{\bf\: 64} \: \:\mathrm{(3^{rd} \: option)}[/tex]
[tex]\rule{150pt}{2pt}[/tex]
F(x)= x^2+2, g(x)= x+1, and h(x) =2x what is f(g(x)) when x= -1
please help me statistic and probability
Answer:
Probability of 15 = 3/10
Probability of 14 = 2/10
Probability of 10 = 2/10
Probability of 12 = 1/10
Probability of 20 = 1/10
Probability of 25 = 1/10
Step-by-step explanation:
→ Find how many numbers there are
2 14's, 3 15's, 2 10's, 1 12, 1 20 and 1 25 ⇒ The x value row will be 14, 15 ,10 ,12, 20 and 25
→ Now divide each front number by the total
Probability of 15 = 3/10
Probability of 14 = 2/10
Probability of 10 = 2/10
Probability of 12 = 1/10
Probability of 20 = 1/10
Probability of 25 = 1/10
Evaluate F ( 3 ) :
F ( 3 ) =
X =
Answer:
f(3) = 1
x = 2
Step-by-step explanation:
f(2) = 3 then x = 2
Please ,Check the illustration I provided.
Describe the ratio of corresponding measures in scale drawing and the actual measure they represent
Answer:
More data needed.
Step-by-step explanation:
jijijijiji
Three same-sized cubes are glued together as shown below.
f the side length of each cube is 4 inches, what is the surface area of the figure?
A.
240 square inches
B.
192 square inches
C.
224 square inches
D.
288 square inches
Answer:
C
Step-by-step explanation:
the surface consists of
3 front squares
3 back squares
2 right side squares
2 left side squares
2 top squares
2 bottom squares
that means we have in total 14 squares.
one square is 4×4 = 16 in²
so the total surface area is
14 × 16 = 224 in²
A rectangular picture with perimeter 27 cm is glued in the center of a rectangular piece of cardboard. There is a 1 cm margin ( of empty cardboard) all around the picture. What is the perimeter of the piece of cardboard.
Answer:
35 cm
Step-by-step explanation:
Each dimension of the picture is increased by twice the width of the margin. If the original picture has dimensions L×W, then the cardboard has dimensions (L+2)×(W+2).
The perimeter formula tells you the perimeter is ...
P = 2(L +W)
__
The cardboard perimeter will be ...
P' = 2((L +2) +(W +2)) = 2(L +W +4)
P' = 2(L +W) +8
P' = P +8
If the original perimeter is 27 cm, the cardboard perimeter is ...
P' = 27 +8 = 35 . . . . cm
The perimeter of the cardboard is 35 cm.
Need help as soon as possible
Answer:
100cm
Step-by-step explanation:
divide the shape into smaller shapes then find the area of each and add them together
Write the algebraic expression that represents the phrase “the quotient of a number and 4?”
Answer:
x/4
Step-by-step explanation:
1) Graph y = f(x) = 3(2)%. Adjust the equation to make the y-intercept (0, -3). Which response is not correct?
A) Replace 3 with -3.
B) Replace x with -x.
C) Add -6 to the right side.
D) Replace x with -x and subtract 6 from the right side.
Using the concept of y-intercept, it is found that the response that is not correct is given by:
B) Replace x with -x.
What is the y-intercept of a function?It is the value of the function when x = 0, hence it is the point (0, f(0)).
In this problem, the function is:
[tex]f(x) = 3(2)^x[/tex]
The y-intercept is given by:
[tex]f(0) = 3(2)^0 = 3[/tex]
If we just replace x with -x, we still have the same expression as above, hence the y-intercept does not change and option B is the answer to this question.
More can be learned about y-intercepts at https://brainly.com/question/24737967
3. What function can be used to model data pairs that have a common ratio? (1 point)
O linear
O quadratic
Oexponential
Onone of the above
Answer:
The function that can be used to model data Paris that have a common ratio is exponential.
All of the following are TRUE about CPR/AED EXCEPT:
A. CPR is used in emergency situations like a heart attack and near drowning.
B. CPR combines chest compressions and rescue breathing to increase the chance of survival.
C. CPR is guaranteed to keep a person alive until medical personnel arrive.
D. The use of an AED helps to restart the heart's natural rhythm.
Answer:
All are true except C. CPR is not a guarantee to keep someone alive till help arrives. Unfortunately some people die before help gets there regardless of the CPR.
What are the prime factors of 700?
O A.2 x 2 x 25 x 7
OB. 350 x 2
OC. 2 x 2 x 2 x 5x5x7
OD 2 x 2 x 5x5x7
Answer:
b. 350x2
Step-by-step explanation:
the answer is 350x2 because if you do 350x2 you will get 700
In the U.S. it is implied that two-year schools (community colleges) are “a bargain” compared to 4-year institutions. Complete a two-sample test. Test that the “average cost of state universities is greater than the average cost of community colleges”. To perform this test, you will use the average cost of in-state tuition from your sample data of state universities. ($10,472) You will also need to find the mean and standard deviation from the random sample of community colleges provided below. To find the mean and standard deviation for the community colleges data, plug the values into L1 and run 1-varstats. The mean is x-bar and make sure to use sample standard deviation, Sx. Assume variances are NOT equal as is done in the example on page 430. Complete a two-sample test at α = 0.05. WRITE AN INTERPRETATION OF YOUR RESULT. use either the p-value decision rule or rejection region. show all work by hand (If you establish in the hypothesis that 1 is the universities and 2 is community colleges make sure that your x-bar 1 and x-bar 2 also reflect those same categories. ) In hypothesis tests, I am looking for the correct conditions, hypotheses, model of either decision rule (draw out the normal distribution with correct shading of either p-value or rejection region), correct formula for the standardized test statistic with all values plugged in correctly, correct decision based on your p-value or standardized test statistic, and correct interpretation of your findings.
In-State Tuition
Amarillo College
2,538.00
Blue Ridge Community College
4,098.00
Bunker Hill Community College
3,384.00
Camden County College
1,650.00
Delta College
2,400.00
Eastern Wyoming College
2,280.00
Ellsworth Community College
3,960.00
Finger Lakes Community College
3,894.00
Granite State College
6,810.00
Massachusetts Bay Community College
3,624.00
Rock Valley College
2,970.00
San Antonio College
3,632.00
Answer: I got the same question, did u get the answer?
Step-by-step explanation:
80, 85 ,53 , 68 , 99, 87 73, 88, 75, 76, 78, 79, 91 , 95 compute mean of the data
Answer:
80.5
Step-by-step explanation:
80 + 85 + 53 + 68 + 99 + 87 + 73 + 88 + 75 + 76 + 78 + 79 + 91 + 95 = 1,127
mean = total sum / numbers of numbers
mean = 1,127 / 14
= 80.5
Rewrite the equation below so that it does not have fractions.
3+ 2/3 x = 2/5
Answer:
3 + 2 divided by 3 = 2 divided by 5
Step-by-step explanation:
Felix buys five vests for $22 each, three pairs of shoes for $50 each, and six hats for $17 each. What is the mean amount that he spent?
A. $34.62
B. $32.81
C. $25.86
D. $22
Answer: C
Answer:
$ 25.86 is the answer
Step-by-step explanation:
Help Me with this please
Answer:
B) Δ+5
Step-by-step explanation:
Means that Austin has $5 more than Mark
Hope this helps
1/4*3/4=what is the answer
Answer:
3 over 8
3
8
=0.375
Step-by-step explanation:
HELP ASAP 20 BRAINLY POINT PLUS USER HELPPP
Answer:
A
Step-by-step explanation:
(m / 3) = (12 / 3) = 4
1/2 x 4 = 2
2 + n = 2 + 3/5 = 2 and 3/5 = 13/5
Answer:
13/5
Step-by-step explanation:
After graduation from college, Justin decided to join a new company. He agreed to a salary which will increase by 3.7% each year and will earn 77,536 for his twelfth year of work.
Part A: To the nearest dollar, what is Justins starting salary?
Using an exponential function, it is found that Justin's starting salary was of $50,137.
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.In this problem, we have that r = 0.037 and A(12) = 77536, hence:
[tex]A(t) = A(0)(1 + r)^t[/tex]
[tex]77536 = A(0)(1.037)^{12}[/tex]
[tex]A(0) = \frac{77536}{(1.037)^{12}}[/tex]
A(0) = 50137.
Justin's starting salary was of $50,137.
More can be learned about exponential functions at https://brainly.com/question/25537936
What is the slope of a line perpendicular to the line whose equation is
5x – 2y = -10. Fully simplify your answer.
PLSSS ANSWER
[tex]\sqrt{28-3(4)}[/tex]
Answer:
[tex]\boxed{\sf{4}}[/tex]Step-by-step explanation:
Use the order of operations to solve this problem.
[tex]\Longrightarrow: \sf{\sqrt{28-3(4)} }[/tex]
Remove parentheses.
→ (4)=4
Rewrite the problem down.
[tex]\Longrightarrow:\sf{\sqrt{28-3*4} }[/tex]
PEMDAS stands for:
ParenthesesExponentsMultiplyDivideAddSubtract→ 28-3*4
Multiply.
→ 3*4=12
→ 28-12
Subtract.
→ 28-12=16
[tex]\Longrightarrow:\sf{\sqrt{16} }[/tex]
[tex]\Longrightarrow\sf{\sqrt{16}=4^2 }[/tex]
Use the radical rule.
[tex]\Longrightarrow: \sf{4^2=\boxed{\sf{4}}[/tex]
Therefore, the correct answer is 4.I hope this helps you! Let me know if my answer is wrong or not.
Answer:
[tex]\±4[/tex]
Step-by-step explanation:
Given expression: [tex]\sqrt{28 - 3(4)}[/tex]
Here, we can see that the terms, 28 and 3(4) are inside the root. Since the two terms are inside the root, we can subtract them. Therefore:
[tex]\implies\sqrt{28 - 3(4)}[/tex][tex]\implies\sqrt{28 - 12}[/tex][tex]\implies\sqrt{16}[/tex]Usually, [tex]\sqrt{16}[/tex] can also be written as [tex]\sqrt[2]{16}[/tex]. Therefore:
[tex]\implies\sqrt[2]{16} = \sqrt[2]{4 \times 4} = \± 4[/tex]Therefore, the simplified expression is ±4.
Learn more about this topic: https://brainly.com/question/20971929
Question - I need more ----- inside of my life
Answer:
Hi, this is not really a question it is a statement but if you really need help with math then you can provide an actual question.
Step-by-step explanation:
Answer:
Then you must improve to get more things in your life
Which of the following steps would you perform to the system of equations
below so that the equations have opposite y-coefficients?
4x+2y - 4
12x - y - 26
O A. Divide both sides of the top equation by 3
O B. Multiply both sides of the top equation by 2
O C. Multiply both sides of the bottom equation by 2
O D. Divide both sides of the bottom equation by 3
Step-by-step explanation:
please mark as brainliest please
What is If a = 3, then 2ª=
Answer:
2^3 = 2 * 2 * 2 which equals 8
Step-by-step explanation:
1 + a to the power 3
[tex]1 + {a}^{3} [/tex]
Among all rectangles that have a perimeter of 172, find the dimensions of the one whose area is largest. Write your answers as fractions reduced lowest terms.
Answer:
43 x 43 units 1849 units^2
Step-by-step explanation:
The largest area will be a square (equla sides)
172 / 4 = 43
a square IS a rectangle
43 x 43
Round your answer to the nearest hundredth.
Answer:
66.42 degrees
Step-by-step explanation:
Cos(angle B) = adj / hyp = 2/5
arc cos (2/5) = angle B = 66.4 2 degrees
High school students across the nation compete in a financial capability challenge each year by taking a National Financial Capability Challenge Exam Students who score in the top 26 percent are recognized publicly for their achievement by the Department of the Treasury. Assuming a normal distribution, how many standard deviations above the mean does a student have to score to be publicly
recognized?
Using the normal distribution, it is found that a student has to score 0.6433 standard deviations above the mean to be publicly recognized.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It 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, which is the percentile of X.The top 26% of the scores are given by scores above the 74th percentile, which corresponds to Z = 0.6433, hence, a student has to score 0.6433 standard deviations above the mean to be publicly recognized.
More can be learned about the normal distribution at https://brainly.com/question/24663213