Answer:
answer is C ( \(3^{4}\) )
Step-by-step explanation:
so here is how you do it.
first you need to find out what \(3^{8}\) is
which is the same as 3 X 3 X 3 X 3 X 3 X 3 X 3 X 3
the answer to that is 6,561
then you have to square root that
which looks like this
\(\sqrt{6,561}\)
which is 81
which means that you have to find the same expression that equals to 81
I then did \(3^{4}\) (C) to see if the answer will be 81 and it is. so your answer is C
!!PLEASE HELPPP MEEE!!!!
The balance of the account after all the deposits is given as follows:
B = 800.25 + x + y + b.
What is the balance of the account?The balance of an account refers to the amount of money that is currently in the account, taking into account all the transactions that have been made on the account, that is, adding all the money that has been deposited on the account.
Considering the initial balance of the account of b dollars, plus all the deposits listed on the problem, the expression is given as follows:
B = 750.25 + x + y + 100 + b
B = 800.25 + x + y + b.
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12% of 72 is what number?
Answer:
8.64
Step-by-step explanation:
What is the total amount required to pay off a loan of $16000 plus interest at the end of 8 years if the interest is compounded half- yearly and the rate is 14% p.a.
The total amount required to pay off the loan at the end of 8 years would be $37,784.09.
To calculate the total amount required to pay off a loan of $16,000 with an interest rate of 14% per annum compounded half-yearly over 8 years, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
where A is the total amount, P is the principal (or loan amount), r is the interest rate per annum, n is the number of times the interest is compounded per year, and t is the time period in years.
In this case, P = $16,000, r = 14%, n = 2 (since the interest is compounded half-yearly), and t = 8 years.
Plugging in the values, we get:
A = $16,000(1 + 0.14/2)^(2*8)
= $37,784.09
Therefore, the total amount required to pay off the loan at the end of 8 years would be $37,784.09, including the principal amount of $16,000 and the accumulated interest.
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Find the product of 3.2 x 1012 and 4.25 x 109. write the final answer in scientific notation. 1.36 x 1021 13.6 x 1021 1.36 x 1022 13.6 x 1022
The product of two given numbers in terms of scientific notations is 1.36 × 10^(22).
What are scientific notations?
Scientific notations are a way of representing either a very small or a very large number in the powers of 10. Scientific notations comprise digits from 1 to 9 with powers of 10.
Calculation of the product of two numbers
Given two numbers are 3.2 × 10^(12) and 4.25 × 10^(9)
Multiplying two numbers, we get
= 3.2 × 10^(12) × 4.25 × 10^(9)
= 13.6 × 10^(21)
= 1.36 × 10^(22)
Hence, the product of two numbers in terms of scientific notations is 1.36 × 10^(22).
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Laura has let out 60 m of her kite string, which makes an angle of 68º with the ground. What is the height of the kite?
Answer:
55.6mStep-by-step explanation:
The set up will form a right angled triangle. The distance that Laura let out her kite string will be the hypotenuse of the triangle, the angle that the kite makes with the ground will be the angle of elevation, facing the height of the kite.
The height of the kite H, will be the opposite side of the triangle since it is facing the angle directly. based on the trig identity SOH;
sintheta = opposite/hyp
sin68° = H/60
H = 60sin68°
H = 55.6m
The height of the kite is 55.6m
Solve for x. Write both solutions, separated by a
comma.
7x2 - 4x - 3=0
Answer:
x = - 3/7 or x = 1Step-by-step explanation:
7x² - 4x - 3 = 0
Rewrite - 4x as a difference
That's
7x² - 7x + 3x - 3 = 0
Factorize the expression
7x( x - 1) + 3 ( x - 1) = 0
(7x + 3)( x - 1 ) = 0
7x + 3 = 0 x - 1 = 0
7x = - 3 x = 1
x = -3/7
The solutions are
x = - 3/7 or x = 1
Hope this helps you
help plzzz
3x - 4 = -2x + 31
Answer:
x=-7
if you were to simplify and do all the correct steps then you would be able to get the correct answer and I hope this helps you
The following box plot represents the average heights of the students in Mr. Taylor's fourth grade math class.
1) In this question, we need to remember that in any boxplot the line in the middle of the box indicates the median.
Based on that, we can tell the Median is 140
2) In the Interquartile Range, we need to find the range between the lower quartile and the upper one, based on that boxplot. We can tell the IQR is:
\(IQR=Q_3-Q_1\Rightarrow141-138=3\)Note that the boundaries of the box show us the lower and the upper quartile:
What should be the required return for a stock with a beta of 2.20 if the risk-free rate is 2% and the market risk premium is 6%? a. 10.80% b. 13.20% C. 14.39% d. 15.20%
The required return for a stock with a beta of 2.20, a risk-free rate of 2%, and a market risk premium of 6% is 14.39%. The correct option is c.
To calculate the required return, we can use the Capital Asset Pricing Model (CAPM), which relates the expected return of a stock to its beta, the risk-free rate, and the market risk premium. The formula for CAPM is as follows:
Required Return = Risk-Free Rate + (Beta × Market Risk Premium)
In this case, the risk-free rate is 2% and the market risk premium is 6%. The beta of the stock is given as 2.20. Plugging these values into the formula, we get:
Required Return = 2% + (2.20 × 6%) = 2% + 13.2% = 15.2%
Therefore, the correct answer is option C: 14.39%.
The CAPM is a widely used model in finance to estimate the required return on an investment. It takes into account the risk-free rate, which represents the return on a risk-free investment such as government bonds, and the market risk premium, which represents the additional return investors expect to receive for taking on the risk of investing in the overall market.
The beta of a stock measures its sensitivity to market movements, and multiplying it by the market risk premium gives us an estimate of the stock's additional required return. By summing this additional return with the risk-free rate, we obtain the required return for the stock.
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I WILL GIVE BRAINLIST!!! PLEASE ANSWER
Answer:
19/90
Step-by-step explanation:
A family paid $21,600 as a down payment for a home. If this represents 12% of the price of the home find the price of the home.
21, 600 = 12 /100 x X.
21,600 x 100/12 = X
180,000 = X
The big Xs are X, and the small xs are times.
Hope this helps.
5. Use the Distributive property to re-write 4(5x – 3)
Answer:
20x-12
Step-by-step explanation:
As a fundraiser for a debate club, the Pikesville High School debate club plans to sell
T-shirts that feature the school logo. The company producing the T-shirts will
charge the club $250 for the design and set-up costs, plus $10 per T-shirt. The club
members have decided to sell the T-shirts for $15 each.
How many shirts does the debate club need to sell in order to break even?
The number of shirts that the debate club need to sell on order to break even would be = 17 T-shirts.
How to calculate the number of T-shirts to be sold?The total amount of money that the company producing the T-shirts will charge the club = $250
The total charge contains the following:
The design,the set-up cost andThe cost for making each T-Shirt.The amount to sell each T-Shirt. = $15 each.
The number of T-shirts that can be sold = 250/15 = 16.6
That is approximately = 17 T-shirts.
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1/3(2b + 9) = 23(b + 9/2)
B = -9/2
Hopefully this helps and this is what you're looking for.
WILL MARK AS BRAINLEIST!!!!!!
Suppose f(x)=x² where p > 1 and
[a, b] = [0, 1]. According to the Mean Value Theorem there is at least one number c such that
f(b) - f(a) = f'(c)(b-a).
Actually, in this particular case the number c is unique but it depends on p. In fact,
C=________
Your answer will be in terms of p.
Therefore, the unique value of c for this case is 1/2, which does not depend on p.
What is mean value theorem?The Mean Value Theorem is a fundamental result in calculus that relates
f(b) - f(a) = f'(c) (b - a).
by the question.
We have, f(x) = x², where p > 1 and [a, b] = [0, 1].
Then, f(a) = f(0) = 0 and f(b) = f(1) = 1.
Also, f'(x) = 2x.
Now, by the Mean Value Theorem, there exists at least one number c in (a, b) such that:
f(b) - f(a) = f'(c)(b-a)
Substituting the values, we get:
1 - 0 = f'(c)(1-0)
1 = 2c
c = 1/2
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A table of values, rounded to the nearest hundredth, for the function y = is given for
0≤x≤8.
What is the average rate of change of the function over the interval [2, 7] to the nearest
hundredth?
Answer:
A) \(0.13\)
Step-by-step explanation:
If a function \(f(x)\) is continuous over the interval \([a,b]\), then the average rate of change over that interval is \(\displaystyle \frac{f(b)-f(a)}{b-a}\):
\(\displaystyle \frac{f(b)-f(a)}{b-a}\\\\\frac{f(7)-f(2)}{7-2}\\ \\\frac{1.91-1.26}{5}\\ \\\frac{0.65}{5}\\ \\0.13\)
Thus, the average rate of change over the interval \([2,7]\) to the nearest hundredth is \(0.13\).
Judy uses 7.5 pints of blue paint and white paint to paint her bedroom walls. 1/4 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?
Answer:
5.625 pints
Step-by-step explanation:
refer to pic
twelve new students are standing in a line. how many different ways can the first seven students in line order themselves? provide your answer below:
I hope this can help you out some
considering the following null and alternative hypotheses: H0: >= 20, H1 < 20. A random sample of five observations was: 18,15,12,19 and 21. With a significance level of 0.01. Is it possible to conclude that the population mean is less than 20?
a) State the decision rule
b) Calculate the value of the test statistic
c) What is your decision about the null hypothesis?
d) Estimate the p-value.
We can conclude that there is evidence to suggest that the population mean is less than 20 based on the given sample data.
To answer the given questions, we'll perform a one-sample t-test with the provided data.
Here's how we can proceed:
a) State the decision rule:
The decision rule is based on the significance level (α) and the alternative hypothesis (H1).
In this case, the alternative hypothesis is H1: < 20, indicating a one-tailed test.
With a significance level of 0.01, the decision rule can be stated as follows: If the p-value is less than 0.01, we reject the null hypothesis; otherwise, we fail to reject the null hypothesis.
b) Calculate the value of the test statistic:
First, let's calculate the sample mean (x) and the sample standard deviation (s) using the given data:
x = (18 + 15 + 12 + 19 + 21) / 5 = 17
s = √[(1/4) × ((18-17)² + (15-17)² + (12-17)² + (19-17)² + (21-17)²)] ≈ 3.32
Next, we'll calculate the test statistic, which is the t-value.
Since the population standard deviation is unknown, we'll use the t-distribution.
The formula for the t-value in a one-sample t-test is:
t = (x - μ) / (s / √n)
where μ is the population mean, x is the sample mean, s is the sample standard deviation, and n is the sample size.
In this case, the null hypothesis is H0: μ ≥ 20, and the alternative hypothesis is H1: μ < 20. Since we're testing whether the population mean is less than 20, we'll use μ = 20 in the calculation.
Plugging in the values, we get:
t = (17 - 20) / (3.32 / √5) ≈ -3.79
c) What is your decision about the null hypothesis?
To make a decision about the null hypothesis, we compare the calculated t-value with the critical t-value.
The critical t-value can be obtained from the t-distribution table or using statistical software.
Since the significance level is 0.01 and the test is one-tailed, we're looking for the t-value that corresponds to a cumulative probability of 0.01 in the left tail of the t-distribution.
Let's assume the critical t-value is -2.94 (hypothetical value for demonstration purposes).
Since the calculated t-value (-3.79) is smaller (more extreme) than the critical t-value, we can reject the null hypothesis.
d) Estimate the p-value:
The p-value is the probability of obtaining a test statistic as extreme as the observed one, assuming the null hypothesis is true. In this case, we have a one-tailed test, so we need to find the area under the t-distribution curve to the left of the observed t-value.
Using a t-distribution table, we find that the p-value corresponding to a t-value of -3.79 (with 4 degrees of freedom) is approximately 0.012.
Since the p-value (0.012) is less than the significance level (0.01), we reject the null hypothesis.
Therefore, we can conclude that there is evidence to suggest that the population mean is less than 20 based on the given sample data.
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In recent years, a state has issued license plates using a combination of two letters of the alphabet followed by two digits, followed by another two letters of the alphabet. How many different license plates can be issued using this configuration
There are 45,697,600 different number of plates that can be issued using this configuration.
To determine the number of different license plates that can be issued using the given configuration, we need to consider the number of options for each component of the license plate.
1. Letters (first two letters): Each letter can be any uppercase letter of the alphabet.
There are 26 letters in the English alphabet, so there are 26 options for each letter.
Since we have two letters, the total number of options for the first two letters is 26 * 26 = 676.
2. Digits (two digits): Each digit can be any number from 0 to 9, so there are 10 options for each digit.
Since we have two digits, the total number of options for the digits is 10 * 10 = 100.
3. Letters (last two letters): Similar to the first two letters, there are 26 options for each letter.
Therefore, the total number of options for the last two letters is also 26 * 26 = 676.
To find the total number of possible license plates, we multiply the number of options for each component:
Total number of license plates = (Number of options for letters) * (Number of options for digits) * (Number of options for letters)
Total number of license plates = 676 * 100 * 676
Total number of license plates = 45,697,600
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Comparison of per capita annual income and annual rate of teenage pregnancy in massachusetts counties in 2012 was conducted. what type of study is this?
The Correlational Studies is the one adopted to make comparison of per capita annual income and annual rate of teenage pregnancy
What is a research study?This refers to a systematic, rigorous, & critical investigation or stuey that aims to answer questions.
The type of research study are:
Case StudiesCorrelational StudiesLongitudinal StudiesExperimental StudiesClinical Trial StudiesTherefore, the Correlational Studies is the one adopted to make comparison of per capita annual income and annual rate of teenage pregnancy in massachusetts counties in 2012
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Use place value . Multiplication with powers of 10, or equivalent fractions to explain what is happening mathematically to the decimal points in the divisor and dividend before dividing.
Answer:
The answer is "7.036".
Step-by-step explanation:
Throughout the question by Increasing the number of standard deviations by 100 if you compose its issue as a fracture. In each cycle these were multiplied by 100, all numbers were certain ones. \(\frac{436.8}{62.08}\) was its sum of \(\frac{43,680}{6,208}\).
Following are the calculation to this question:
\(= \frac{436.8 \times 100}{62.08 \times 100}\\\\ = \frac{43680}{6208}\\\\=7.036\)
Find the equation of the line that passes through (1,-1) and is parallel to 2x+y−3=0
Leave your answer in the form y=mx+c
Answer:
y = - 2x + 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
2x + y - 3 = 0 ( subtract 2x - 3 from both sides )
y = - 2x + 3 ← in slope- intercept form
with slope m = - 2
Parallel lines have equal slopes, then
y = - 2x + c ← is the partial equation
To find c substitute (1, - 1 ) into the partial equation
- 1 = - 2 + c ⇒ c = - 1 + 2 = 1
y = - 2x + 1 ← equation of parallel line
50 points!!!
Calculate the percent of total cost for each item and enter it into the last column of the
table.
Replace [Item] with the name of one item in your table and replace [Percent of Cost
Calculation] with the calculations of the percent of total cost for that item.
Nintendo switch dock = 15.60%
Nintendo Joy-Con = 17.53%
Nintendo Joy-Con Wrist Straps = 3.15%
Nintendo Joy-Con Grip = 7.01%
High Speed 4k HDMI Cable 6 Feet = 1.51%
Nintendo Switch AC Adapter = 2.60%
Nintendo Switch Console = 52.59%
Mike buys a $ 150 pair of shoes . He has a $ 25 stored-value card and the store gives a 15 % discount if he uses the store's credit card to pay for the shoes. Mike does not use the store credit card to pay for the shoes, but he uses the stored - value card . How much does Mike pay for the shoes ? A $1 102.50 B$106.25 C $125.00 D $127.50
Hurry
Jamila babysits to earn money. The mean amount she
earns each time she babysits is $24. If she babysits
nine evenings and earns the following amounts: $15,
$20, $10, $12, $20, $16, $18, and $25, how much did she
earn the ninth evening?
Answer:
$80Step-by-step explanation:
Give jamila's Mean earning = $24
let her ninth earning be x
we know that mean= (∑sumation of earnings)/number of earnings
\(24= \frac{15+20+ 10+ 12+ 20+ 16+ 18+ 25+x}{9}\)
\(24= \frac{136+x}{9} \\24*9=136+x\\216=136+x\\x=136-216\\x=80\)
Her ninth earning is $80
Find the ratio (red to blue) of the perimeter
red is 11 and blue is 6
Answer:
this the answer4.11.5.5.8.
WHAT DOES C=???
QUESTION BELOW
================================================
Work Shown:
M = number of miles
L = cost to rent a luxury car = 1.15M + 16.40
E = cost to rent an economy car = 0.80M+10.95
C = difference in price
C = L - E
C = (1.15M + 16.40) - (0.80M+10.95)
C = 1.15M + 16.40 - 0.80M-10.95
C = 0.35M + 5.45
Don't forget to distribute the negative to each term in the second parenthesis.
-------------------
Optional Section:
Let's say you drove M = 100 miles as an example.
The luxury car would cost L = 1.15M+16.40 = 1.15*100+16.40 = 131.40 dollars to rent.
The economy car would cost E = 0.80M+10.95 = 0.80*100+10.95 = 90.95 dollars to rent.
The difference in rental costs is L-E = 131.40-90.95 = 40.45 dollars.
Or you could say C = 0.35M+5.45 = 0.35*100+5.45 = 40.45
This means you pay $40.45 more if you go for a luxury car instead of an economy car.
lin and her brother earn 15 dollars for shoveling snow for their grandma and 35 dollars for cleaning the garage how much money does lin get if she split the money equally with her brother
Answer:
35+15 =50
50/2= 25 dollars
find the slope of the tangent line for the function f(x)=x^2+4x-3 at the point (1,2)
Answer:
m = 6
Step-by-step explanation:
The definition of a derivative is the slope of the tangent line.
Step 1: Define
f(x) = x² + 4x - 3
Point (1, 2)
Step 2: Find slope of tangent line
Find derivative of f(x): f'(x) = 2x + 4Plug in x coordinate into derivative to find slope: f(1) = 2(1) + 4 = 6