Answer:
Solution :-We know that
V = πr²h
400 = 22/7 × r² × 8
400 × 7 = 22 × 7r²
2800 = 154r²
2800/154 = r²
18 ≈ r²
4.2 = r
During his vacation, Dalyn rents a small boat from a rental service that charges a flat fee of $70 plus $10 per hour (including taxes). The total charge comes to$100 . Which equation can be used to calculate the number of hours ,x , that Dalyn rents the boat?
Answer:
LOL
Step-by-step explanation:
ssssssssssssssss
I need help with this
Step-by-step explanation:
no, not anymore. unbelievable.
AC = AE + EC = 12 + 8 = 20
I need new music
I hate country and I'm a guy
I like chill vibes like joji for example
how old is this guy??????
Ellie makes 12.5% commission through selling makeup. If her total sales last month were $1840, what will be her take-home way?
Answer:
$230 she takes home
Step-by-step explanation:
1840*0.125 = 230
Convert the expression in logarithmic form to exponential form: logo 1000 = 3 Edit View Insert Format Tools Table 0 pts
Log10(1000) = 3 can be expressed as 10³ = 1000 in exponential form.
To convert the given logarithmic expression into exponential form, we use the following formula:
logb(x) = y if and only if x = by where b is the base of the logarithmic expression. Here, the logarithmic expression is log10(1000) = 3Let's substitute the given values into the above formula to obtain the exponential form of the expression.10³ = 1000.Therefore, log10(1000) = 3 can be expressed as 10³ = 1000 in exponential form. The final answer is 10³ = 1000.
Hence, Log10(1000) = 3 can be expressed as 10³ = 1000 in exponential form.
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One morning, the temperature in Oakdale was
–
4°F. By noon, a strong wind had caused the temperature to drop another 3°F.
What was the temperature at noon in Oakdale?
Answer: -7°F
Step-by-step explanation:
if -4 was it's original number and the number has dropped means subtraction and by that means subtracting 3 to -4.
in a school of 30 students 10% are boys how many are boys
Answer:
3
Step-by-step explanation:
30 ×10%/100%=3
percentage is always out of 100 that's why 10%over 100%
hope this will help mate
Jessica collects stamps. She has 26 stamps that represent countries and 45 stamps that represent famous people. Write a ratio in the simplest form that represents the number of stamps she has of famous people to the number of stamps she has in total.
Answer:
Step-by-step explanation:
26:45
Three different coins are tossed. What is P(tail, head or tail, head, or tail)
Answers:
Probability of landing all three coins on head: \(\frac{1}{8}\)
Probability of landing all three coins on tail: \(\frac{1}{8}\)
Probability of landing two coins on head and one on tail: \(\frac{3}{8}\)
Probability of landing two coins on tails and one on head: \(\frac{3}{8}\)
Step-by-step explanation (Read Carefully):
-How to calculate this is that there are three possible outcomes when tossing the three coins. So, if you group all the possible outcomes of heads and tails when tossing the three coins in one event, you’ll get eight events. Let’s take a look at it:
-A way to organize this is to have:
H = heads
T = tails
-Total of eight events, where each event is the probability of the three coins being tossed (possible events with equal probability, and order matters):
HHH
HHT
HTH
HTT
THH
THT
TTH
TTT
Now, let’s apply some questions:
⇒ Probability of landing all three coins on heads: \(\frac{1}{8}\)
Explanation: Look at the events above. How many times (out of the eight events) that all three coins land on heads? Well, you can see that there is only one possible event that has HHH. So, the probability of landing all three coins on heads (out of the eight events) is \(\frac{1}{8}\).
⇒ Probability of landing all three coins on tails: \(\frac{1}{8}\)
Explanation: Look at the events above. How many times (out of the eight events) that all three coins land on tails? Well, you can see that there is only one possible event that has TTT. So, the probability of landing all three coins on tails (out of the eight events) is \(\frac{1}{8}\).
⇒ Probability of landing two coins on heads and one on tails: \(\frac{3}{8}\)
Explanation: Look at the events above. How many times (out of the eight events) where two coins land on heads and one on tails? Well, you can see that there are three possible events that include HHT, HTH, THH. So, the probability of landing two coins on heads and one on tails (out of the eight events) is \(\frac{3}{8}\).
⇒ Probability of landing two coins on tails and one on heads: \(\frac{3}{8}\)
Explanation: Look at the events above. How many times (out of the eight events) where two coins land on tails the one on heads? Well, you can see that there are three possible events that include HTT, THT, TTH. So, the probability of landing two coins on tails and one on heads (out of the eight events) is \(\frac{3}{8}\).
I hope you understand and that this helps with your question! :)
PLEASE PLEASE PLEASE HELP ME WITH THIS ASSIGNMENT ASAP: For the birds- Wildlife Management Algebra 2
any list of five real numbers is a vector in r 5
Yes, any list of five real numbers can be considered a vector in R^5. This is because a vector in R^5 is simply an ordered list of five real numbers, where the first number represents the position along the x-axis, the second represents the position along the y-axis, the third represents the position along the z-axis, and so on.
In other words, a vector in R^5 is simply a point in five-dimensional space, and any list of five real numbers can be thought of as representing the coordinates of that point. For example, the list (1, 2, 3, 4, 5) can be thought of as a vector in R^5 whose x-coordinate is 1, y-coordinate is 2, z-coordinate is 3, and so on.
Therefore, any list of five real numbers can be considered a vector in R^5, and vice versa. This is an important concept in linear algebra and other areas of mathematics, as vectors in higher-dimensional spaces are often used to represent complex systems and data sets.
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Bobby is buying ribs for his 4th of July cookout. The ribs are on sale for $3. 50 per pound. If Bobby buys 5. 5 pounds of ribs, how much does he spend?
Using simple mathematical operations, we know that Bobby buys 5.5 pounds of ribs for $19.25.
What are mathematical operations?Indicates a mathematical operation, akin to the superposition principle, where the action on the sum of two functions is equal to the sum of the actions of the operation on each function (e.g., differentiation, multiplication by a constant).
So, we know that:
The ribs are for sale at $3.50 per pound.
Bobby buys 5.5 pounds of ribs.
Then, the amount bobby spends on ribs will be:
5.5 * 3.50
$19.25
Therefore, using simple mathematical operations, we know that Bobby buys 5.5 pounds of ribs for $19.25.
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for which (if any) of the three dependent variables in this data set (gender, age, ethnicity) would you report the standard deviation?
Gender and ethnicity are categorical variables and therefore, the standard deviation cannot be calculated for variables.
The standard deviation is a measure of the spread or dispersion of the data around the mean. In other words, it tells us how far each data point in a set is from the average of the set.
When we analyze data, it's important to understand how much variation there is in the data, and the standard deviation is one way to do this.
When it comes to the three dependent variables in the data set (gender, age, and ethnicity), it is important to understand that the standard deviation is only calculated for numerical data.
However, age is a numerical variable, and the standard deviation can be calculated for it.
To find the standard deviation of the ages, we need to first find the mean of the ages and then subtract each age value from the mean and square the result.
Next, we add up all the squared deviations and divide by the number of ages minus one. Finally, we take the square root of the result, and that gives us the standard deviation of the ages in the data set.
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Simplify the following expression.
(38x+61y) - (3x- 11y)
Answer:
35x+72y
Step-by-step explanation:
\((38x+61y)-(3x-11y)\\38x+61y-3x+11y\\35x+72y\\\)
Brainliest if it helped you!
Answer:
please see the picture above
STEP BY STEP EXPLANATION PLS :-
Answer:
854mm2
Step-by-step explanation:
Area of a trapizium =Sum of parallel sides÷2 × height
(45+16)÷2=30.5
30.5×28 =854mm2
Ex. 900. x(t)= C0 + C1*sin(w*t+theta1) + C2*sin(2*w*t+theta2)
x(t)= A0 + A1*cos(w*t) + B1*sin(w*t) + A2*cos(2*w*t) + B2*sin(2*w*t)
A0= 2, A1=-8, B1=-7, A2=-2, B2=-7, w=600 rad/sec.
Express all angles between plus and minus 180 degrees.
Determine C0, C1, theta1 (deg), C2, theta2 (deg)
The final values of the angles are:
C0 = A0 = 2
C1 = B1 = -7
theta1 = 0 degrees
C2 = B2 = -7
theta2 = 0 degrees
Here, we have,
To determine the values of C0, C1, theta1 (in degrees), C2, and theta2 (in degrees), we need to match the given expressions for x(t) with the given values for A0, A1, B1, A2, B2, and w.
Comparing the expressions:
x(t) = C0 + C1sin(wt+theta1) + C2sin(2wt+theta2)
x(t) = A0 + A1cos(wt) + B1sin(wt) + A2cos(2wt) + B2sin(2w*t)
We can match the constant terms:
C0 = A0 = 2
For the terms involving sin(wt):
C1sin(wt+theta1) = B1sin(w*t)
We can equate the coefficients:
C1 = B1 = -7
For the terms involving sin(2wt):
C2sin(2wt+theta2) = B2sin(2wt)
Again, equating the coefficients:
C2 = B2 = -7
Now let's determine the angles theta1 and theta2 in degrees.
For the term C1sin(wt+theta1), we know that C1 = -7. Comparing this with the given expression, we have:
C1sin(wt+theta1) = -7sin(wt)
Since the coefficients match, we can equate the arguments inside the sin functions:
wt + theta1 = wt
This implies that theta1 = 0.
Similarly, for the term C2sin(2wt+theta2), we have C2 = -7. Comparing this with the given expression, we have:
C2sin(2wt+theta2) = -7sin(2w*t)
Again, equating the arguments inside the sin functions:
2wt + theta2 = 2wt
This implies that theta2 = 0.
Therefore, the final values are:
C0 = A0 = 2
C1 = B1 = -7
theta1 = 0 degrees
C2 = B2 = -7
theta2 = 0 degrees
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The Sum of the first 21 terms of the progression, -18, -15,-12........ is _____
Answer:
3
Step-by-step explanation:
18,15,12,..........
S
n
=45=
2
n
[2a+(n−1)d]
=>
2
n
[2×18+(n−1)(−3)]=45
=>
2
n
[36−3n+3]=45
=>n(39−3n)−90=0
=>39n−3n
2
−90=0
=>3n
2
−39n+90=0
=>n
2
−13n+30=0
=>n
2
−10n−3n+30=0
=>n(n−10)−3(n−10)=0
=>(n−10)(n−3)=0
=>n=10 or n=3
can someone help me on this question please
Answer:
61m^2
Step-by-step explanation:
1. Split the shape into squares or rectangles
5x9 Rectangle, 8x2 Rectangle
2. Find Area of Each Individual Shape
45, 16
3. Add Areas Together
45+16=61
4. Add Units Squared to the final answer
61m^2
2x-5y=20
What is y and what is x
Answer:
x=10 and y=4
Im not sure if this is correct but I looked it up and it said it was right
Answer:
x = 5/2y + 10y = 2/5x - 4(if you're looking for intercepts then: x = 10, y = -4)
Step-by-step explanation:
\(\sf{2x - 5y = 20\)
\(\sf{Finding~x:\)
\(2x - 5y = 20\)
\(+ 5y = + 5y\)
↪ 2x = 5y + 20
\(\frac{2x}{2} = \frac{5y}{2} + \frac{20}{2}\)
x = 5/2y + 10\(\sf{Finding~y:}\)
\(2x - 5y = 20\)
\(-2x~ = ~~~~-2x\)
↪ -5y = -2x + 20
\(\frac{-5y}{-5} = \frac{-2x}{-5} + \frac{20}{-5}\)
y = 2/5x - 4--------------------
Hope this helps!
You are 65 years old and about to retire. You have $100,000 saved in a retirement account and would like to withdraw it in equal annual amounts so that nothing is left after 12 years. How much can you withdraw each year if the account earns 6% interest each year? You have credit card debt of $3,000 at 24% APR compounded monthly. If you charge no more purchases to the card and make monthly payments of $425, how many months will it take you to payoff your debt? Your employer provides a 401(k) plan with a matching contribution of 7% of your salary if you put in at least 5% of your salary. If your monthly salary is $3250 and you contribute just enough to get the match, then how much money will be added to your account in total over one year? As a self-employed worker you pay FICA taxes at the rate of 15.3% of your earnings. You earned $48186 this year. How much must you pay as your FICA contribution?
You can withdraw approximately $11,426.49 each year for 12 years to exhaust your $100,000 retirement account. You must pay approximately $7,374.80 as your FICA contribution. It will take approximately 8.35 months to pay off the credit card debt.
1. To calculate the annual withdrawal amount, we can use the formula for the present value of an annuity:
PV = PMT * (1 - (1 + r)^(-n)) / r
Where:
PV = Present value ($100,000)
PMT = Annual withdrawal amount (unknown)
r = Annual interest rate (6% or 0.06)
n = Number of years (12)
Substituting the given values into the formula:
$100,000 = PMT * (1 - (1 + 0.06)^(-12)) / 0.06
Solving for PMT:
PMT ≈ $11,426.49
Therefore, you can withdraw approximately $11,426.49 each year for 12 years to exhaust your $100,000 retirement account.
2. To determine the number of months it will take to pay off the credit card debt, we can use the formula for the number of periods in compound interest:
n = -(1/30) * log(1 - (d * r) / p) / log(1 + r)
Where:
n = Number of periods (unknown)
d = Monthly payment ($425)
r = Monthly interest rate (24% APR or 0.24/12)
p = Principal amount ($3,000)
Substituting the given values into the formula:
n ≈ 8.35 months
Therefore, it will take approximately 8.35 months to pay off the credit card debt.
3. If you contribute 5% of your monthly salary to the 401(k) plan, the employer's matching contribution will be 7% of your salary. Therefore, the total contribution to your account over one year would be:
Total contribution = (5% + 7%) * 12 * $3,250
Total contribution = $7,020
Therefore, $7,020 will be added to your 401(k) account over one year.
4. To calculate the FICA contribution, we multiply the earnings by the FICA tax rate:
FICA contribution = $48,186 * 0.153
FICA contribution ≈ $7,374.80
Therefore, you must pay approximately $7,374.80 as your FICA contribution.
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Which of the following rational algebraic equations is transformable to a quadratic equation? A. (m+2)/(2)-(m+2)/(7)=7 C. (2b-1)/(3)-(1)/(2)=(3b)/(4) B. (2)/(r)-(3)/(r+1)=7 D. (3)/(k-2)+(4)/(k+2)=(7)/
The rational
algebraic
equation that is transformable to a quadratic equation is the option B `(2)/(r)-(3)/(r+1)=7)`.
A rational algebraic equation is said to be in
quadratic form
when it can be transformed into a quadratic equation by applying the quadratic formula or by making a substitution to reduce it to the form of a quadratic equation.
For the above option B, to transform it to quadratic form:
`2/(r) - 3/(r+1) = 7` can be rewritten as `2(r+1)-3(r)/r(r+1) = 7`.
By multiplying both sides by `r(r+1)`, the equation becomes:
`2(r+1)r(r+1)/r(r+1) - 3(r)(r+1)/r(r+1) = 7r(r+1)`2(r+1)r - 3(r)(r+1) = 7r² + 7r.
Distribute and simplify
2r² + 2r - 3r² - 3r = 7r² + 7r - 0
Simplifying by adding like terms -r² - r = 7r² + 7r
Rearranging the terms yields a quadratic equation:8r² + 8r = 0
Thus,option B `(2)/(r)-(3)/(r+1)=7)`is the rational algebraic equation which is transformable to a quadratic equation.
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Please Help Asap!!!
Given: , ∠ADB ≅ ∠CBD
Prove: ∆ADB ≅ ∆CBD
Look at the proof. Name the postulate you would use to prove the two triangles are congruent.
A) AAA Postulate
B) SSS Postulate
C) SAS Postulate
one can of waterproofer covers 100 square feet. you want to apply two coats of waterproofer to the wooden crates. How many cans of waterproofer do you need?
Answer:
Hello! its 1
Step-by-step explanation:
23. Frank has a batting average of .310. Write this decimal as a fraction in simplest form. (1 point)
29/100
3/10
8/25
31/100
Answer:
31/100
Step-by-step explanation:
0.310=0.31
Since the number ends in the hundredths place as a fraction it would be 31/100
Hope this helps! :)
Answer:
31/100
Step-by-step explanation:
Use desmos
Use the distributive property to evaluate the following expression: 9(4 + 9) Show your work in your answer. I NEED THE WORK
The value of the expression 9(4 + 9) using the distributive property is 117.
To evaluate the expression 9(4 + 9) using the distributive property, we need to distribute the 9 to both terms inside the parentheses.
First, we distribute the 9 to the term 4:
9 * 4 = 36
Next, we distribute the 9 to the term 9:
9 * 9 = 81
Now, we can rewrite the expression with the distributed values:
9(4 + 9) = 9 * 4 + 9 * 9
Substituting the distributed values:
= 36 + 81
Finally, we can perform the addition:
= 117
Therefore, the value of the expression 9(4 + 9) using the distributive property is 117.
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A study on students drinking habits wants to determine the true average number of alcoholic drinks all UF underclassmen students have in a one week period. We know from preliminary studies that the standard deviation is around 2.8. How many students should be sampled to be within 1.5 drink of population mean with 90% probability?A. 14B. 15C. 9D. 10
Since we cannot have a fraction of a student, we need to round up to the nearest whole number.
Therefore, the required sample size is 10 students.
Hence correct answer is D. 10.
To determine the sample size required for this study, we can use the formula for sample size estimation in a population with known standard deviation.
The formula is:
n = (Z * σ / E)^2
where:
n = sample size
Z = Z-score corresponding to the desired confidence level (90% in this case)
σ = standard deviation of the population (2.8)
E = margin of error (1.5 drinks)
First, we need to find the Z-score corresponding to the 90% confidence level.
Since we want a two-tailed probability, we will look up the Z-score for 95% (adding 5% to each tail of the distribution).
The Z-score for 95% is approximately 1.645.
Next, we plug the values into the formula:
\(n = (1.645 * 2.8 / 1.5)^2\)
\(n = (4.606 / 1.5)^2\)
\(n = 3.071^2\)
\(n = 9.43\)
So, the correct answer is D. 10.
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h-1-7-g=1 and h=12 please help me I’m so confused
Answer:
g = 3
Step-by-step explanation:
12−1−7−g=1
Step 1: Simplify both sides of the equation.
12−1−7−g=1
12+−1+−7+−g=1
(−g)+(12+−1+−7)=1(Combine Like Terms)
−g+4=1
−g+4=1
Step 2: Subtract 4 from both sides.
−g+4−4=1−4
−g=−3
Step 3: Divide both sides by -1.
−g /−1 = −3 /−1
g=3
Answer
if h=12 and g=1 the equation would be 12-1-7-1=3
Step-by-step explanation:
The chi-square distribution is symmetric and its shape depends on the degrees of freedom. True False 32 2 points Blocking does which of the following? Allows you to increase the effect of a nuisance variable Separates each treatment into a different block Turns the nuisance influence into a factor in the design Both A & C
The chi-square distribution is symmetric and its shape depends on the degrees of freedom. The statement is True.
Chi-Square Distribution is a continuous probability distribution that is widely used in statistical inference. Chi-Square Distribution has two types:1. Chi-Square Distribution for Goodness of Fit Test.2. Chi-Square Distribution for Test of Independence.Chi-Square Distribution curve depends on the degrees of freedom (df), where df refers to the number of independent observations in a data sample. A chi-square distribution is always positive and it has an asymmetric form. The shape of the curve depends on the degrees of freedom (df) parameter.In statistics, degrees of freedom refer to the number of values that can vary freely without violating any restrictions that are imposed. If we increase the degrees of freedom, the chi-square distribution curve becomes symmetrical. So, the statement given in the question is true.
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Does anybody know this? ill give brainliest to anyone to answers it correctly.
Answer:
36/125
Step-by-step explanation:
Which shows the simplified expressions ordered from least to greatest by the value of the exponent?
Answer:
Step-by-step explanation:
theres no information
Answer:
none because there are no numbers there I'll help you when you add the numbers
Step-by-step explanation:
but have a good rest of your day :) ❤