Answer: 1296π
Step-by-step explanation:
To find the surface are if a square, we have to use the formula:
= 4πr²
= 4 × π × 18²
= 4 × π × 324
= 1296π
Therefore, the surface area of the sphere is 1296π
Answer:
C
Step-by-step explanation:
I did the test right
2. Two boxes are being shipped at a facility. One
box weighs 25.09 pounds, and the other box
weighs 25.018. Which box weighs more? Explain
and prove your answer.
Answer:
i think 25.09 weighs more
Step-by-step explanation: well simply 25.018 has more decimal places down therefore making it a smaller number
sorry if you get it wrong :c
The total number of people that went to the out of town tournament was 42. How many players in chaperones went on the trip?
Answer:7 jogadore participaram do jogo
1.Draw Angle POQ of measure 75° and find its line of symmetry
Pls answer with steps
Step-by-step explanation:
you need too look somewhere else
PLEASE HELP ME OUT CCCCCCCCCCCCCCCCCC;
Answer:
I think it's the last to they sound way more independent!!!
In 1976, a certain model of car cost $5,000. What would be the cost of that car in 2012 dollars? Express your answer rounded to the nearest cent
Answer:
The cost of that car in 2012 dollars is $20,755
Step-by-step explanation:
We take a look at inflation values of the dollar to solve this question.
100 dollars in 1976 are equivalent to 469.48 dollars in 2021.
100 dollars in 2012 are worth 113 dollars today.
So, to find the 2012 equivalent, we divide 469.48 by 113/100 = 1.13. So
469.48/1.13 = 415.5.
That is, 100 dollars in 1976 are equivalent to 415.5 dollars in 2012, that is, 1 dollar in 1976 was worth 4.155 dollars in 2012.
In 1976, a certain model of car cost $5,000. What would be the cost of that car in 2012 dollars?
Multiplying by 4.155
5000*4.155 = 20,755
The cost of that car in 2012 dollars is $20,755
Cary earned $56 for 7 hours of babysitting
What is Cary's unit rate for babysitting?
Answer:
$8 an hour
Step-by-step explanation:
56/7= 8
Answer:
$8 per hour.
Step-by-step explanation:
56/7=8
A person invested $150 in an account growing at a rate allowing the
money to double every 13 years. How much money would be in the
account after 22 years, to the nearest dollar?
Answer:y=485
y=a(2)^t/d
a=150 d=13 t=22
Step-by-step explanation: y=150(2) 22/13
y=484.759843209
y=485
The rate of the interest on the account is 5.48%. Then the amount of money after 22 years is $485.10.
What is compound interest?Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.
A person invested $150 in an account growing at a rate allowing the money to double every 13 years.
Then the rate will be
[tex]\begin{aligned} 300 &= 150 (1 + r)^{13}\\\\13 \log (1 + r) &= \log 2\\\\\log (1 + r) &= 0.023156\\\\1 + r &= 1.054766\\\\r &= 0.054766 \approx 0.0548 \end{aligned}[/tex]
Then the amount of money after 22 years will be
[tex]\rm Amount = 150(1 + 0.0548)^{22}\\\\Amount = 150 \times 3.234\\\\Amount = \$ \ 485.1[/tex]
More about the compound interest link is given below.
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tn=2n-5n, find t7=
A)93
B)21
C)75
D)54
Answer:
Step-by-step explanation:
Select all equations that match the tape diagram.
Answer:
6x+8=35
35=8+6x
Step-by-step explanation:
id.k about 35=8+x+X+X+x+X+x
After a party, 1/3 of a pizza
remains. Rachel eats 1/2 of the
remaining pizza. What fraction of a
pizza does she eat?
The required fraction of the pizza Rachel eat is 1 / 6.
Given that,
After a party, 1/3 of a pizza remains. Rachel eats 1/2 of the remaining pizza. What fraction of a pizza she eat is to be determined.
The technique in mathematics to perform and solve the expression to make the expression simple or more understandable is called simplifying and the process is called simplification.
What is the Ratio?The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
Here, remaining pizza = 1 / 3
Rachel eats 1 /2 of the remaining pizza so,
= 1 / 2 * 1 / 3
= 1 / 6
Thus, the required fraction of the pizza Rachel eat is 1 / 6.
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an object is 279.4 centimeters wide. if you divide the object into 10 equal parts, how wide will each part be?
Given the frequency table, what percentage of the students in grades 9–10 like rap music? Round to the nearest whole percent.
Band Preference for School Dance
Rap Rock Country Row totals
Grades 9–10 40 30 55 125
Grades 11–12 65 20 35 120
Column totals 105 50 90 245
40%
38%
32%
16%
Answer: 32%
Step-by-step explanation:
Number of students in grade 9-10 who likes rap = 40
Total number of students in grade 9-10 = 125
The percentage of the students in grades 9–10 who like rap music will be:
= Number of students in grade 9-10 who likes rap / Total number of students in grade × 100
= 40/125 × 100
= 0.32
= 32%
Answer:
32%
Step-by-step explanation:
Which set of ordered pairs represents a function?
o {(-7, -1), (7, -1), (-9,3), (–9, 2)}
{(3,5), (7,9), (4,4), (3,3)}
O {(3,-2), (-7,6), (-5, -8), (3, -6)}
O {(0,2), (-9,7), (-6, -1), (-2,2)}
Answer:
The final set of ordered pairs represents a function.
Step-by-step explanation:
Each X value corresponds to exactly one y- value. Essentially, none of the x values are the same in the final set.
A rectangular auditorium seats 1302 people. The number of seats in each row exceeds the number of rows by 11. Find the number of seats in each row
The cost of manufacturing a printer is $35. The retailer has a markup of 150%. What is the selling
price of the printer?
Answer:
$87.50
Step-by-step explanation:
35 is the original price. we are increasing it by 150% i like to break it up
100 percent increase would just be adding another 35 to it. so 35+35=70
then we have a 50% increase 35/2=17.50
70+17.50=87.50
TIMED QUESTION HELP FAST
Answer:
D
Step-by-step explanation:
A and B cannot be the right answers, because the left part of the graph is inclusive (so the right answer has to include [tex]x\leq 1[/tex] instead of [tex]x<1[/tex]).
C can also not be the right answer, because for [tex]x=0[/tex], [tex]y=-1[/tex] instead of [tex]2(0)^2 = 0[/tex].
So D is the correct answer by elimination.
A rectangular garden has an area of 3/5 square miles. If its length is 7/8 miles, what is its
width?
Input your answer as a fraction.
Answer:
[tex]\frac{24}{35}mi[/tex]
Step-by-step explanation:
Area = length • width
area = [tex]\frac{3}{5}mi^{2}[/tex]
length = [tex]\frac{7}{8} mi[/tex]
width = x
[tex]\frac{3}{5} = \frac{7}{8} x[/tex] multiply both sides by [tex]\frac{8}{7}[/tex] (the reciprocal of [tex]\frac{7}{8}[/tex])
[tex](\frac{8}{7})(\frac{3}{5}) = x[/tex]
x = [tex]\frac{24}{35}[/tex]
Answer:
24/35 is your answer
Divide 3/5 by 7/8 to get the answer of 24/35
Lisa ran 3 1/2 miles in 21 minutes at that rate how long will it take her to run 5 miles
Answer:30
Step-by-step explanation: please
Lisa take approximately 30 minutes(time) to run 5 miles at the same rate she ran 3 1/2 miles in 21 minutes.
To find out how long it will take Lisa to run 5 miles at the same rate, we can set up a proportion using the distance and time data.
Let's denote the time it will take her to run 5 miles as "t" (in minutes).
The proportion can be set up as follows:
(3.5 miles) / (21 minutes) = (5 miles) / (t minutes)
Now, cross-multiply and solve for "t":
3.5 × t = 21 × 5
3.5t = 105
Divide both sides by 3.5 to isolate "t":
t = 105 / 3.5
t = 30
So, it will take Lisa approximately 30 minutes to run 5 miles at the same rate she ran 3 1/2 miles in 21 minutes.
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An electronic office product contains 5100 electronic components. Assume that the probability that each component operates without failure during the useful life of the product is 0.999, and assume that the components fail independently. Approximate the probability that 2 or more of the original 5100 components fail during the useful life of the product. Use normal approximation. Round your answer to 3 decimal places.
Answer:
The probability that 2 or more of the original 5,100 components may fail during the useful life of the product is:
= 0.001
Step-by-step explanation:
Probability of operating without failure = 0.999
The probability of failed component = 0.001 (1 - 0.999)
The number of components of the electronic office product = 5,100
The number of components that may fail, given the above successful operation = 5.1 (0.001 * 5,100).
Therefore, the probability that 2 or more of the original 5,100 components may fail during the useful life of the product = 0.001
Probability of component failure is the likelihood that a component fails during the useful life of the product. It is expressed as the number of likely failed components divided by the total number of components. This result can be left in decimal form or expressed as a percentage.
Following are the solution to the given expression:
[tex]\to \text{p = p (failure)} = 1 -0.999 = 0.001 \\\\[/tex]
We employ the binomial approximation of the normal distribution with mean.
[tex]\to \mu = np = 5100(0.001) = 5.1 \\\\ \to \text{standard deviation} \ (\sigma) = \sqrt{np(1-P)}[/tex]
[tex]= \sqrt{5100(0.001)(1-0.001)} \\\\ = \sqrt{5.1 \times (0.999)} \\\\= \sqrt{5.0949 } \\\\= 2.2572[/tex]
It require [tex]p(x\geq 2)[/tex] but we find [tex]p(x \geq 1.5)[/tex], because of [tex]0.5[/tex] correction.
Here
[tex]\to z = \frac{X-\mu}{\sigma }[/tex]
[tex]=\frac{1.5-5.1}{2.2572} \\\\ =\frac{-3.6}{2.2572} \\\\ = -1.59 \\\\[/tex]
Calculating the required probability:
[tex]\to p(z \geq -1.59)[/tex]
[tex]=1+ p(z< 1.59) \\\\= 1+ 0.9440826[/tex] , by standard normal table
[tex]= 1.9440826 \approx 1.944[/tex]
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6(x - 1) = 6x - 1
what’s the answer ^^
Answer:
this is an identity which is true for all x values
Step-by-step explanation:
Perform the indicated multiplication. We get:
6x - 1 = 6x -1
and see that this is an identity which is true for all x values.
When a commodity is sold for x dollars per item, the number of items sold is f(x). The item costs 5 dollars to make. The item costs 3 dollars to make.
Required:
a. Express the total profit P in terms of x (the answer has been partially filled in for you).
b. What is the rate of change of the total profit as x changes?
c. If 3000 items sell when the price is 45 dollars and if the number of items that are sold decreases by 600 for every 1 dollar increase in price, find the rate of change of the profit when the item price is 45 dollars.
In this exercise we will use the differential equations to calculate finances, we find that:
a) [tex]Profit = (x - 3)f(x)[/tex]
b) [tex]P' = f(x) + (x - 1) f'(x)[/tex]
c) [tex]P' = 29400[/tex]
The cost of producing the items is the total expenses of production while the revenue is the amount of money generated from selling the item.
a)Then using the given formula and substituting for the known values we find that;
[tex]Cost = \ cost \ of \ producing \ one \ item * number \ of \ items \ produced\\Cost = $3 * f(x) = 3f(x)\\Revenue = selling \ price \ of \ one \ item * number \ of \ items \ produced\\Revenue = x * f(x) = xf(x)\\Profit = Revenue - Cost = xf(x) - 3f(x)\\Profit = (x - 3)f(x)[/tex]
b) Applying knowledge of differential equations we find that:
[tex]P' = d/dx(xf(x) - 3f(x) )\\P' = f(x) + xf'(x) - f'(x)\\P' = f(x) + (x - 1) f'(x)[/tex]
c)Substituting the known values into the formula given above, we find that:
[tex]f(x) = 3000, x = $45, f'(x) = -600 items / 1$\\P' = 3000 + (45 - 1)(-600)\\P' = 3000 + 26400\\P' = 29400[/tex]
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One line passes through the points (0, 2) and (3, 4). Another line passes through the
points (3,5) and (5,2). Are they parallel or perpendicular?
Hi please help me as soon as possible:
Rimo spends £588 on a plane ticket and $130 on airport tax. Using £1 = $1.34, what percentage of the total cost does Rimo spend on airport tax?
Give your answer rounded to 1 dp.
PLEASE HURRY I'VE POSTED THREE TIMES THIS QUESTION BUT NO ANSWERS ONLY WATCHERS
Answer:
Percentage = 14.2%
Step-by-step explanation:
Given the following data;
Cost of plane ticket = £588
Airport tax = $130
£1 = $1.34
To find the percentage of the total cost spent on airport tax;
First of all, we would convert the ticket cost in pounds (£) to dollars ($).
Cost of plane ticket = £588 to $ = 588 * 1.34 = $787. 92
Total cost = Cost of plane ticket + Airport tax
Total cost = 787. 92 + 130
Total cost = $917.92
[tex] Percentage \; cost = \frac {130}{917.92} * 100 [/tex]
[tex] Percentage = 0.1416 * 100 [/tex]
Percentage cost = 14.16 to 1 d.p = 14.2%
Therefore, the percentage of the total cost spent on airport tax by Rimo is 14.2 percent.
The height of sunflowers is Normally distributed with mean 50 inches and standard deviation 8 inches. Use your calculator's statistical functions to find the percent of all sunflowers that are between 35 and 40 inches tall. Be sure to write your answer as a percent, but don't put the percent symbol. Once in percent form, round to 2 places after the decimal.
Answer:
7.57
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
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.
The height of sunflowers is Normally distributed with mean 50 inches and standard deviation 8 inches.
This means that [tex]\mu = 50, \sigma = 8[/tex]
Percent of all sunflowers that are between 35 and 40 inches tall.
As a proportion, this is the pvalue of Z when X = 40 subtracted by the pvalue of Z when X = 35. So
X = 40
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{40 - 50}{8}[/tex]
[tex]Z = -1.25[/tex]
[tex]Z = -1.25[/tex] has a pvalue of 0.1057
X = 35
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{35 - 50}{8}[/tex]
[tex]Z = -1.88[/tex]
[tex]Z = -1.88[/tex] has a pvalue of 0.03
0.1057 - 0.03 = 0.0757
As percent: 0.0757*100% = 7.57%
please help, this is due soon!
Answer:
289 meters I believe.
Step-by-step explanation:
Question 2 What is the correct order of operations to complete a math problem?
What is the percent of increase from 75 to 87?
Answer:
16 percent
Step-by-step explanation:
y = x + 6
y = -2x - 3
Answer:
(x,y)=(-3,3)
Step-by-step explanation:
To prepare for a lab experiment, Ted is making a solution that uses two types of concentrations of HCI ( hydro boric acid) 80 ml of 50% HCI solution, and 120 mlL of 20% HCI solution. What is the HCI concentration of the mixes solution
Answer:
32%
Step-by-step explanation:
50% of the first solution is HCL, so it has
80 ml x 50% = 80 ml x 0.5 = 40 ml of HCL
Similarly the second solution has 20% of HCL, so
120 ml x 20% = 120 ml x 0.2 = 24 ml of HCL
The combined solution will have 40 ml + 24 ml = 64 ml of HCL.
The total volume of the 2 solutions is 80 ml + 120 ml = 200 ml.
We can now calculate the concentration of HCL in the mixed solution, by dividing the volume of HCL by the total volume of the solution,
64 ml / 200 ml = 0.32 = 32%
Pictured below is quadrilateral QRST. Which statement is NOT sufficient to prove that QRST
is a rectangle?
Answer:A
Step-by-step explanation: The letters are not in the correct order on letter A and the rest of the answers can prove it.