Answer:
118
Step-by-step explanation:
We need to calculate the surface square of the cylinder. The formula for that is S=2*pi*r*(r+h). r is radius of the cylinder which is diameter/2=3/2=1.5. The formula becomes: S=2*pi*1.5(1.5+11)=37.5pi=~117.5 which is approximated to 118 since if the decimal you're approximating is 5 or higher it just increments the previous one, so here we just add 1 to 117
for each of the three plots, identify the strength of the relationship (e.g. weak, moderate, or strong) in the data and whether fitting a linear model would be reasonable.
These following answers are correct
We are given residual plots
In given(a) plot there is weak relationship between scatter points
we see curved relationship in this residual plot therefore model is unreasonable .
Note - This model is reasonable when this plot should look approximately normal and scatterplot of residuals should show random
scatter. In these plots we see weak relationship and line as model is unreasonable
2)We are given residual plot.
Given 2nd (c) plot there is strong relationship between scatter points we see positive straigh line relationship in this plot therefore model is resonable.
Also these model look approximately normal land scatterplot of residuals show random scatter.
In these plot we see strong relationship and linear model is reasonable
Therefore, these statements are correct.
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A sports shop sells tennis rackets in 4 different weights, 2 types of string, and 3 grip sizes. How many different rackets
could they sell?
O 32
O 18
0 24
0 9
Answer: C) 24
Step-by-step explanation:
first we take down the information given to us
sports shop sells rackets in
4 different weights
2 types of strings
3 grip sizes
Now to get the number of different rackets they could sell, you simply take the multiplication of the number of racket gripe sizes, the types of strings and different weights they sell
so
4 * 2 * 3 = 24
therefore the sport shop could sell up to 24 different rackets .
Answer:
24
Step-by-step explanation: got it right on my test
The jones family plans a trip to the amusement park and purchase a family package for $128.00. They also want to buy lunch and souvenir cups. The chicken platter costs $8.50 each and the burger platter costs $9.50 each. The souvenir cups each cost $10.00, which includes unlimited refills. Mr. and Mrs. Jones have a budget and are trying to decide who will order which platter and who will buy a souvenir cup. Let x represent the number of chicken platters, y represent the number of burger platters and z represent the number of souvineer cups. Which of the following algebraic expression can be used to describe the amount of money the jones family will spend, before sales tax, based on the number of each meal and souvineer cups they purchase
Answer:
Step-by-step explanation:
The answer must include the package, and how much of each item added to that original price. This is what C shows.
The original 128 dollars.
The price of the Chicken platters times how many they ordered.
The price of the Burger platters times how many they ordered.
The price of the Souvenir cups times how many they ordered.
In ASTU, mZS = (6x – 15)°, mZT = (2x − 2)°, and
mZU = (4x – 7)º. What is the value of x?
Answer:
x = 17
Step-by-step explanation:
all three expressions should be added together and set equal to 180 degrees
6x - 15 + 2x - 2 + 4x - 7 = 180
now combine like terms
12x - 24 = 180
add 24
12x = 204
x = 204/12
x = 17
If your base pay is 10000 your commission rate is 40% you sell 15 cars and you earn 40000 how much does each car cost
Answer: $4,000
Step-by-step explanation:
If the total earnings were $40,000 and the base pay was $10,000, then the commission earned would be $40,000 - $10,000 = $30,000.
Since the commission rate is 40%, we can set up the equation:
40% x Total Sales = Commission Earned
We know that the commission earned is $30,000, and we also know that 15 cars were sold. Therefore, we can solve for the average price of each car:
40% x Total Sales = Commission Earned
40% x (15 x Price per Car) = $30,000
6 x Price per Car = $30,000
Price per Car = $5,000
However, this is just the average price per car. Since the commission is based on the total sales, we need to calculate the actual commission earned on each car:
Commission per Car = 40% x Price per Car
Commission per Car = 40% x $5,000
Commission per Car = $2,000
Therefore, the total earnings of $40,000 divided by the number of cars sold (15) gives the amount earned per car:
Amount earned per Car = Total Earnings / Number of Cars Sold
Amount earned per Car = $40,000 / 15
Amount earned per Car = $4,000
Eva’s daughter is 15 years younger than her son. Eva’s son is 22 years old. How old is her daughter?
Answer:
7
Step-by-step explanation:
22-15=x
x=7
Convert 3207 nine to a numeral in base ten.
What is the domain of the square root function graphed below?
On a coordinate plane, a curve open up to the right in quadrant 4. It starts at (0, negative 1) and goes through (1, negative 2) and (4, negative 3).
x less-than-or-equal-to negative 1
x greater-than-or-equal-to negative 1
x less-than-or-equal-to 0
x greater-than-or-equal-to 0
Mark this and return
The domain of the square root function is x greater-than-or-equal-to 0, since the function is defined for all non-negative x-values or x-values greater than or equal to zero.
The domain of the square root function graphed below can be determined by looking at the x-values of the points on the graph.
From the given information, we can see that the curve starts at (0, -1) and goes through (1, -2) and (4, -3).
The x-values of these points are 0, 1, and 4.
Since the square root function is defined for any non-negative x-values or x-values more than or equal to zero, its domain is x greater-than-or-equal-to 0.
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classify the following differential equation s given in both standard and differential form. Q5 only
Mike reads 10 pages of a novel on night 1.
Each night after that, he reads three pages
more than the night before. At this rate,
Mike thinks he can finish reading his 219
page novel in 10 days. His brother says it
will take 22 days. Who is right? Explain.
Answer:
Thus at this rate, Mike would be able to finish reading the 219 novel in 10 days. Mike is right.
Step-by-step explanation:
Total number of pages of the novel = 219.
1st night, he reads 10 pages.
2nd night, he reads 13 pages.
3rd night, he reads 16 pages.
4th night he reads 19 pages.
5th night, he reads 22 pages.
6th night, he reads 25 pages.
7th night, he reads 28 pages.
8th night, he reads 31 pages.
9th night, he reads 34 pages.
10th night, he reads 37 pages.
Total number of pages read after 10 nights = 235
Thus at this rate, Mike would be able to finish reading the 219 novel in 10 days. Mike is right.
How many liters are in 4 quarts of milk? Round to the nearest tenth if needed. 1 quart = 0.95 liters.
Answer:
3.8
Step-by-step explanation:
4 x 0.95 = 3.8
Last month you spent 40$ on clothing. This month you spend 160% of what you spent last month. Set up a percent equation to model this situation. How much did you spend this month.
Choose correct answer below
A. 160%=percent•40
B. part=160%•40
C. 40=160%•whole
Answer:
part = 160% *40
Step-by-step explanation: I say this because the question asks how much you spent this month. This month you 160% OF WHAT you spent last month so 160% * 40 = what you spent this month
In the first 1/3 hour of a snow storm, 1/12 of an inch or snow fell. If the snow continues to fall at the same rate, how many inches of snow will fall in 2 hours?
Answer: 1/2 inch
Step-by-step explanation:
1/3 of an hour 1/12 inches fell
in one hour 3/12 or 1/4 inches fell
in 2 hours 2/4 or 1/2 inches fell
26. Tyler has been saving his winning lottery tickets. He has 23 tickets that are worth a total of $175. If each ticket is worth either $5 or $10, how many of each does he have?
I don’t need steps I just need answers to check my work
We will have the follwoing:
\(-6x\ge36\Rightarrow x\le-6\)So, the graph that represents the problem is graph D.
The solution set is:
\((-\infty,6\rbrack\)5 Now, perform each of the calculations indicated. Please refer to the financial formulas section of the instructions for Major Assignment 3, where you will find the equations for the Compound Interest Formula,
Future Value of Periodic Payments Formula, and Loan Payment Formula to use for the final calculation in the Sponsorship, Fundraising, and Loan Payment sections below, respectively. Important Note: for these
calculations, you MUST use direct calculation formulas, and you MAY NOT use built-in Excel functions to calculate these values.
Format all amounts (in the gold-shaded cells) as Currency with the $ symbol and 2 decimal places, and all n and t entries (in the green-shaded cells) as Number with 0 decimals.
Bring your 5-year projected budget total
forward from the Project Budget and Projection
sheet
8 Loan Payment (determine the
5-year projected budget total is brought forward from the Project Budget and Projection sheet, using an Excel formula.
How can you determine a recurring payment's future value?
P is equal to PMT [((1 + r)n - 1)/r]
Taking into account a certain amount of compounded interest earnings that progressively accumulate during the measurement period, this figure represents the sum that a stream of future payments will increase to.
One of the financial functions, FV, determines the investment's future value using a constant interest rate. Future Value (FV )can be used with either a series of regular, recurring payments or a single, one-time payment. To determine the future worth of a sequence of payments, use the Excel Formula Coach.
Your interest rates correctly match the corresponding entries from the table for theyears and months given.Your 5-year projected budget total is brought forward from the Project Budget andProjection sheet, using an Excel formula.
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The electric potential as a function of position y in a region of space is given by the equation V(y)=4y2 - 3y. Which of the following is correct for the magnitude of the electric field at position (2,6)?
The electric field is the derivative of the electric potential with respect to position. So we can find the electric field by finding the derivative of V(y) with respect to y.
What does a math function mean?
a mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variablevariable).
dV/dy = 8y - 3
So, at position y=6, the electric field is E = dV/dy = 8*6 - 3 = 45
Therefore, the magnitude of the electric field at position (2,6) is 45 N/C.
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Can someone please provide a step-by-step explanation for the answer? I would really appreciate it.
Let f(x)= 2(x-1) / x²-2x-3 - 1/ x-3, x ЄR, x > 3.
(a) Show that f(x) = 1/ x+1
(b) Find the inverse function of ƒ (x).
(c) Find the domain of ƒ−¹(x).
(d) Given that g(x) = 2x² – 3, where x Є R. Solve (ƒ o g)(x) = 1/8.
b) The inverse function of ƒ(x) is given by: ƒ⁻¹(x) = (1 - x) / x
c) The domain of ƒ⁻¹(x) is all real numbers except for 1.
d) The solutions for (ƒ o g)(x) = 1/8 are x = √5 and x = -√5.
(a) To show that f(x) = 1 / (x + 1), we need to simplify the expression f(x) and demonstrate that it is equivalent to 1 / (x + 1):
f(x) = [2(x - 1) / (x² - 2x - 3)] - (1 / (x - 3))
f(x) = [2(x - 1) / (x - 3)(x + 1)] - (1 / (x - 3))
f(x) = [2(x - 1) - (x + 1)] / (x - 3)(x + 1)
f(x) = [2x - 2 - x - 1] / (x - 3)(x + 1)
f(x) = (x - 3) / (x - 3)(x + 1)
f(x) = 1 / (x + 1)
Therefore, we have shown that f(x) = 1 / (x + 1).
(b) To find the inverse function of ƒ(x), we interchange the roles of x and y and solve for y:
x = 1 / (y + 1)
xy + x = 1
xy = 1 - x
y = (1 - x) / x
Therefore, the inverse function of ƒ(x) is given by:
ƒ⁻¹(x) = (1 - x) / x
(c) The domain of ƒ⁻¹(x) can be determined by looking at the domain of the original function f(x), which is x > 3.
For ƒ(x), the range is all real numbers except for 1 (since f(x) = 1 / (x + 1)).
Therefore, the domain of ƒ⁻¹(x) is all real numbers except for 1.
(d) Given g(x) = 2x² - 3, we are asked to solve (ƒ o g)(x) = 1/8.
(ƒ o g)(x) means we need to substitute g(x) into ƒ(x):
ƒ(g(x)) = 1 / (g(x) + 1)
Substituting g(x) = 2x² - 3:
ƒ(2x² - 3) = 1 / (2x² - 3 + 1)
ƒ(2x² - 3) = 1 / (2x² - 2)
1 / (2x² - 2) = 1 / 8
8 = 2x² - 2
2x² = 10
x² = 5
x = ±√5
Therefore, the solutions for (ƒ o g)(x) = 1/8 are x = √5 and x = -√5.
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How can i calculate the sales tax of 5% on $120 without using a calculator
Answer:
I found this! I hope this helped!
To calculate the sales tax of 5% on $120 without using a calculator, you can use the following method:
1- Multiply the cost of the item ($120) by the percentage of the sales tax (5%) expressed as a decimal.
$120 x 0.05 = $6
2- Add the sales tax amount to the original cost of the item.
$120 + $6 = $126
So the total cost with the sales tax would be $126
A large garden has a set of underground sprinklers. Suppose the center of the garden is located at the origin of a grid with intervals measured in feet. One sprinkler is positioned at (2, 4) and reaches a radius of 8 feet. The second sprinkler is positioned at (–6, –4) and reaches a radius of 6 feet. The system of inequalities represents this scenario.
Which location is in the region for plants receiving the maximum amount of water?
(–3, –1)
(–7, 1)
(1, –5)
(2, 1)
Answer:
D
Step-by-step explanation:
Got it right edge2021
Answer:
a
Step-by-step explanation:
(-3,-1)
Find the measure of the angle marked with a guestion mark using inverse trig
functions. Round your answer to the nearest degree, Enter the number only,
Answer:
37°
Step-by-step explanation:
1. Label the sides: the hypotenuse (the longest, slanted side) is 5 and the adjacent is 4. This means that we are using cosine (CAH)
2. Write out the equation: cosine or cos (?) = adjacent ÷ hypotenuse
3. Substitute in the values: cos (?) = 4 ÷ 5
4. Simplify: cos (?) = 0.8
5. Type this into a calculator to find ?: \(cos^{-1}(0.8)\)
? = 36.86989... ≈ 37°
Hope this helps!
Quadrilateral ABCD is dilated by a scale factor of 2 centered around (2,2).
Which statement is true about the dilation?
Answers:
B’D’ will run through (2,2) and will be shorter than BD
B’D’ will run through (2,2) and will be longer than BD
B’D’ will be parallel to BD and will be shorter than BD
B’D’ will be parallel to BD and will be longer than BD
Answer:
B’D’ will run through (2,2) and will be longer than BD
Step-by-step explanation:
B'D' will be twice as long as BD and run through (2, 2).
Can you please tell me the sum of the question
Answer:
B) \(4i\sqrt{2}\)
Step-by-step explanation:
\(\sqrt{-2}=i\sqrt{2}\\\sqrt{-18}=i\sqrt{18}=i\sqrt{9*2}=3i\sqrt{2}\\\\\sqrt{-2}+\sqrt{-18}=i\sqrt{2}+3i\sqrt{2}=4i\sqrt{2}\)
¿De qué número 64 es el 80%?
After training for and running a marathon, an athlete wants to reduce her daily run
by half each day. The marathon is about 26 mi. How many days will it take after the
marathon before she runs less than a mile a day? Show your work.
Answer:
6 days
Step-by-step explanation:
This question becomes much easier when written out per day (shown below). The question tells us that she is reducing her run by half every day, so all we need to is divide the previous day by 2 to get the current day. She starts out with 26 miles so this is our day 1 value.
Day 1 = 26 miles
Day 2 = 13 miles (26÷2=13)
Day 3 = 6.5 miles (13÷2=6.5)
Day 4 = 3.25 miles (6.5÷2=3.25)
Day 5 = 1.625 miles (3.25÷2=1.625)
Day 6 = 0.8125 miles (1.625÷2=0.8125)
We can see that by day 6, her total running amount is less that 1 mile, so the final answer is 6 days.
A planner assembles party favor bags filled with glow sticks and temporary tattoos for a client. There are 24 glow sticks and 30 temporary tattoos to divide evenly among the bags.
If there are no leftover items, what is the greatest number of bags the planner can assemble
Answer: The greatest number of bags is 6.
Step-by-step explanation:
In each bag, there would be 4 glow sticks and 5 tattoos, which is the greatest number that can be put in each bag without having any left.
2x-3\(\geq\) 0
Answer:
x ≥ 1.5
Step-by-step explanation:
2x - 3 ≥ 0 ( add 3 to both sides )
2x ≥ 3 ( divide both sides by 2 )
x ≥ 1.5
Find m and c for this line
Y+3x=1
Answer:
m = -3 ; c = 1
Step-by-step explanation:
y = -3x + 1
y = mx + c
m = -3
c = 1
You pick a marble, roll a die, and pick a card. How many outcomes are possible?
The total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.
How to determine How many outcomes are possibleTo determine the number of possible outcomes, we need to consider the number of outcomes for each event and then multiply them together.
1. Picking a marble: Let's assume there are n marbles to choose from. If there are n marbles, then the number of outcomes for this event is n.
2. Rolling a die: A standard die has 6 sides numbered 1 to 6. Therefore, the number of outcomes for this event is 6.
3. Picking a card: A standard deck of cards has 52 cards. Hence, the number of outcomes for this event is 52.
To find the total number of possible outcomes, we multiply the number of outcomes for each event together:
Total number of outcomes = (number of outcomes for picking a marble) × (number of outcomes for rolling a die) × (number of outcomes for picking a card)
Total number of outcomes = n × 6 × 52
Therefore, the total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.
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Write each decimal in words. 1) 96.241= 2) 105.36= 3) 7.4 = 4) 84.12 = 5) 5.75 =
Answer:
1) Ninety-six and two hundred forty one thousandths.
2) One hundred five and thirty-six hundredths.
3) Seven and four tenths.
4) Eighty four and twelve hundredths.
5) Five and seventy-five hundredths.
Step-by-step explanation:
Example:
123.456
1 is in the hundreds place
2 is in the tens place
3 is in the ones place
4 is in the tenths place
5 is in the hundredths place
6 is in the thousandths place
One hundred twenty three and four hundred fifty-six thousandths.