Answers
Answer:
Can't see number 10 but #11=4100
Step-by-step explanation:
#11-
10x5=50
10x5=50
50-10=40
40x100=4000
4000+100=4100
Related Questions
1. The height of a right triangular prism is 1 5/6 inches. Each side of the triangular base measures 10 inches, and the height of the base is 8 2/3 inches. The triangular prism is placed atop a cube whose side measures 10 inches so that one of the triangular prism’s bases lies completely on one side of the cube.
What is the surface area of the solid formed?
100 POINTS!!! IF YOU DRAW AN ACCURATE DIAGRAM TOO, YOU WILL BE AUTOMTIC BRAINLIEST!!!!!!
Answers
If the height of a right triangular prism is 1⁵/₆ inches. The surface area of the solid formed is 598.33 in².
What is surface area?The surface area of a solid object is a measure of the total area that the surface of the object occupies.
A three-dimensional solid form with six faces, including rectangular bases, is called a rectangular prism. A rectangular prism also refers to a cuboid. A cuboid and a rectangular prism have the same cross-section.
First step:-
Right triangular prism=1⁵/₆ inches= 11/6 inches
Height of the base=8²/₃ inches = 26/3 inches
Second step:-
Surface area = 5(10× 10) + (0.5÷ 10 × 26/3) + 3(10× 11/6)
Surface area = 5(100) +43.33+ 3(18.33)
Surface area = 500) +43.33 + 55
Surface area = 598.33 in²
Therefore the surface area of the solid formed is about 598.33 in²
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Eric Shotwell borrows $24,600 from a certain bank. The interest charge amounts to $8,592. What equal monthly payments (in $) must Eric make in order to pay back the loan, with interest, in 36 months?
Answers
Answer:
He will pay $922 Eve month where
$238.6667 is the interest in the payment
Step-by-step explanation:
Eric Shotwell borrows $24,600 from a certain bank. The interest charge amounts to $8,592 to be paid back in 36 months monthly.
Total money to be paid back
= 24600+8592
Total money to be paid back
= $33192
Now for each month in 36 months, a certain amount must be paid
That amount= 33192/36
= $922
But if the interest wasn't added
He'll pay= 24600/36
=$683.333
So the interest amount in the payment every month= 922-683.333.
= $238.6667
He will pay $922 Eve month where
$238.6667 is the interest in the payment
The calculation is as follows:Total money to be paid back
= 24600+8592
= $33192
Now for each month in 36 months, a certain amount must be paid
That amount= \(33192\div36\)
= $922
Now in the case when the interest wasn't added
He'll pay= \(24600\div 36\)
=$683.333
So the interest amount in the payment every month is
= 922-683.333.
= $238.6667
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Decide whether the following statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning. Mike is the president of a large company with 12 divisions. He plans to use an apportionment method to decide how many staff support persons to assign to each division. Choose the correct answer below. A. The statement does not makes sense. Mike is not dividing up available seats among the states. B. The statement does not makes sense. There is no apportionment method that can be used in a fair manner. C. The statement does not makes sense. There is the population paradox because there are only 12 divsions. D. The statement makes sense.
Answers
If he plans to use an apportionment method to decide how many staff support persons to assign to each division, then the correct option is (D) The statement makes sense.
The statement that Mike, the president of a large company with 12 divisions, plans to use an apportionment method to decide how many staff support persons to assign to each division makes sense. Apportionment is a fair method of allocating resources among multiple entities based on their respective sizes or needs.
In this case, the divisions likely have different sizes and needs, so using an apportionment method would help ensure fairness and equity in the allocation process. Therefore, it is a reasonable and practical approach for Mike to use to make decisions about how to allocate staff support persons to each division.
Therefore, the correct option is (D) The statement makes sense.
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if the earthquake has stronger magnitude what does it mean
Answers
Answer:
Step-by-step explanation:
The magnitude of an earthquake is a measure of the amount of energy released during the earthquake. A stronger magnitude generally means a more powerful earthquake.
At a pastry store they sell chocolate dipped strawberries.the pastry store owners shop at their local market for the strawberries which are sold for $2.78 per pound.to prepare some chocolate dipped strawberries they bought $265 worth of strawberries how many pounds of strawberries did they buy?
Answers
Answer: 5.43
Step-by-step explanation:
So you are trying to find out how many pounds of strawberries they bought. First, you have to change the number 265 into a decimal, which would be 2.65, so then you would ave to add 2.78 + 2.65, and adding them up will give you 5.43.
So, your answer would be:
They bought 5.43 pounds of strawberries.
Give an example from daily life that shows a binomial distribution and explain why it is binomial.
Answers
The example of flipping a coin is a classic illustration of the binomial distribution in daily life.
What is a normal distribution?An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range, while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the center
A classic example of binomial distribution in daily life is flipping a coin. The possible outcomes of a coin flip are either heads or tails, and each flip is independent of the previous flips.
For example, let's say you want to know the probability of getting heads exactly 3 times in 5 flips of a fair coin.
The probability of getting heads on any one flip is 0.5, and since the flips are independent, the probability of getting heads exactly 3 times in 5 flips can be calculated using the binomial distribution formula:
P(X=3) = (5 choose 3) * (0.5)³ * (0.5)² = 0.3125
where "X" is the number of times we get heads, "choose" is the binomial coefficient function, and (0.5)³ and (0.5)² represent the probability of getting heads and tails, respectively.
This example satisfies the conditions of a binomial distribution, which are:
There are a fixed number of trials (in this case, 5 flips)Each trial has only two possible outcomes (heads or tails)The probability of success (getting heads) is constant for each trial (0.5 in this case)The trials are independent of each other (the outcome of one flip does not affect the outcome of the next flip)Therefore, the example of flipping a coin is a classic illustration of the binomial distribution in daily life.
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Angles 1 and 2 are supplementary. Angle 2 measures 50 degrees
MORE THAN angle 1. What is the measure of angle 2?
Answers
Answer: 115 degrees
Step-by-step explanation:
Give me the brainliest plz!
The three sides of a triangle are 4cm, 6cm and 8cm.
(a) find the cosine of the largest angle
(b) show that the area of the triangle is 3√15cm²
(c) find the length of the shortest altitude of the triangle
Answers
Answer:
In bold below.
Step-by-step explanation:
(a) The largest angle is opposite the largest side.
So by the Cosine Rule:
8^2 = 4^2 + 6^2 - 2*4*6 cos x
cos x = (8^2 - 4^2 - 6^2) / (-2*4* 6)
= -0.25.
x = 104.48 degrees.
(b) Area of the triangle = 1/2 * 4 * 6 sin 104.48
= 11.62
= 3 √15.
(c) The shortest altitude will have the longest sides as the base.
Area = 1/2 * altitude * base
3√15 = 1/2 * 8 * a
a = 3√15 / 4 cm
= 0.75√15 cm.
The cosine of the largest angle is 104.48 degrees
The area of the triangle is 3√15cm² is 3 √15
The length of the shortest altitude of the triangle is 0.75√15 cm.
What is the triangle?
A triangle can be defined as a figure that has three lines. It can be of various dimensions it can a scale as Pythagoras or an isosceles triangle. They all have different properties.
(a)
With the help of the Cosine Rule:
\(8^2\) = \(4^2 + 6^2 - 2 \times 4\times6 cos x\)
cos x = \((8^2 - 4^2 - 6^2) / (-2 \times 4 \times 6)\))
= -0.25.
x = 104.48 degrees.
(b)
Area of the triangle
=\(1/2 \times 4 \times 6 sin 104.48\)
= 11.62
= 3 √15.
(c)
Area =\(1/2 \times altitude \times base\)
3√15 = 1/2 * 8 * a
a = 3√15 / 4 cm
= 0.75√15 cm.
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find the inverse of the following function f(X)=12X-4
Answers
Answer:
y=(x+4)/12
Step-by-step explanation:
f(x)=12x-4
To find the inverse follow these steps:
1.) Make f(x) y so y=12x-4
2.) Switch x and y
so, x=12y-4
3.) solve for y
add 4 to the other side and then divide by 12 to get y by itself.
1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 QUESTION 1 [24] Gavin Pillay is employed at Maritzburg Engineering, a Steel manufacturing company in Pietermaritzburg. Below is a copy of his Payslip. 1. 3201 Company Maritzburg Engineering cc 21 Halsted Road Pietermaritzburg Employment No 105 Id Number Income Basic Salary Overtime M Gross Salary Maritzburg Engineering cc Employee Name Gavin Pillay Period 31/05/2023 Sex Male 790128514088 R8700 R1200 A Status Married Deductions PAYE UIF Total Deductions Net Pay 1200 87 B C Name the Employee? What does UIF stand for? Show by calculation that the UIF paid by Gavin is calculated correctly Which month is this Payslip for? Calculate the missing values A to C How old is Gavin this year? Give the address of Gavin's work place. Gavin would like to contribute towards a Pension fund (7,5% of his Basic Salary). H would this affect his net salary?
Answers
If Gavin contributes towards a Pension fund (7,5% of his Basic Salary), then his net salary will be reduced by the amount he contributed towards pension fund i.e. R652.5.
1.1 Name of employee is Gavin Pillay. 1.2 UIF stands for Unemployment Insurance Fund. UIF is a benefit to provide short-term relief to workers who lose their jobs, or can't work due to illness, maternity or adoption leave. 1.3 The UIF paid by Gavin is calculated correctly.
Firstly, we need to calculate Gross Salary of Gavin, which is given as: Basic Salary + Overtime + M = R8700 + R1200 + R3201 = R13101Then, calculate total deductions from gross salary.
Total Deductions = PAYE + UIF = R1200 + 87 = R1287Hence, Gavin's net salary = Gross salary - Total Deductions = R13101 - R1287 = R11814Therefore, UIF paid by Gavin is calculated correctly as R87.1.4 This payslip is for the month of May i.e.
31/05/2023.1.5 Basic salary of Gavin = R8700. Deduct 7.5% of his basic salary to calculate his pension fund contribution. Pension Fund Contribution = 7.5/100 x R8700 = R652.5.1.6
Total deductions of Gavin includes PAYE, UIF and pension fund contribution.
Therefore, Total Deductions = PAYE + UIF + Pension Fund Contribution = R1200 + R87 + R652.5 = R1939.5.1.7
Gavin's age can not be determined as his date of birth is not provided.1.8 Address of Gavin's workplace is 21 Halsted Road, Pietermaritzburg?
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If administrative assistants at Bookworm Publications make phone follow-ups after textbook reviews, more colleges and universities will adopt a new statistics book. The x + 600 publisher noticed that new book sales varied in the second year according to S(x) = A0 - , where S is total sales and x is the number of phone calls made to colleges which have adopted the book. Ao denotes the sales from the previous year. x2 Assuming A0 = 2600, what sales can Bookworm Publications expect if they make 50 follow-up phone calls? Round your answer to two decimal places if necessary. Answer Keypad Keyboard Shortcuts $I
Answers
Bookworm publications can expect 2599.74 sales. The solution has been obtained by using arithmetic operations.
What are arithmetic operations?
It is believed that the four fundamental operations, often known as "arithmetic operations," may explain all real numbers. The four mathematical operations that produce the quotient, product, sum, and difference are division, multiplication, addition, and subtraction.
We are given that the sales in second year vary according to
S(x) = A₀ - (x + 600) / x²
Now, we are given that A₀ = 2600 and x = 50.
On substituting these values in the equation, we get
⇒S(50) = [2600 - (50 + 600)] / 50²
⇒S(50) = 2600 - (650 / 2500)
⇒S(50) = 2600 - 0.26
⇒S(50) = 2599.74
Hence, Bookworm publications can expect 2599.74 sales.
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What is the x-intercept of the graph of Y= 4x-36
Answers
y = 4x - 36
The y is your y-intercept.
The 4x is your slope. (4/1)
The -36 is your x-intercept.
The x - intercept of the line is at Point X(9, 0).
We have the following equation of a straight line -
y = 4x - 36
We have to find the x - intercept of the of this line.
What is the general equation of a straight line ?The general equation of a straight line is as follows -
y = mx + c
where -
m - slope of line
c - intercept of line on y - axis.
According to the question, we have -
y = 4x - 36
Now, comparing this line with the general equation of line - y = mx + c, we get -
m = 4
c = - 36
for the x - intercept of the line, substitute y = 0. We get -
0 = 4x -36
4x = 36
x = 9
Hence, the x - intercept of the line is at Point X(9, 0).
Refer to the graph attached for more clarity.
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Frank invested $30,000 at 4% simple interest. How much interest will he earn each year?
Answers
Answer:
$1200 interest
Step-by-step explanation:
$30,000 divided by 100 = 300 , 300 multipled by 4 = 1200 , thats how to find what 4% would be
The graphs of g(x) has only one x-intercept and is an odd function. The points (0,0), (1,3), and (3,1) are on the graphs of g(x). If g(x) is translated one unit right, what are the new intercepts. EXPLAIN WHY THE ANSWER IS WHAT IT IS.
Answers
Using translation concepts, it is found that the new intercepts are given as follows:
x-intercept: (1, 0).y-intercept: (0, -3).What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
In this problem, the function was shifted one unit right, hence the rule for the translated function is given by:
(x,y) -> (x + 1, y).
The y-intercept is given by f(0), hence for the shifted function it will be f(-1). We have that f(x) is an odd function and f(1) = 3, hence f(-1) = -f(1) = -3.
The x-intercept is given by x when f(x) = 0, hence:
(0,0) -> (0 + 1, 0) = (1,0).
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Solve for y.
−2y+5=−11
Responses
y = 8
y, = 8
y = 3
y, = 3
y=−3
y equals negative 3
y=−8
Answers
Answer:
8
Step-by-step explanation:
bResponses
y = 8
y, = 8
y = 3
y, = 3
y=−3
The graph below is on a semi-log scale, as indicated.
Find an equation for the graph shown
Answers
Answer:
y(x)= -2x - 2
Step-by-step explanation:
Which of these is the correct ratio of strawberries to blueberries for the fruit salad?
A. 8 strawberries: 30 blueberries
B. 8 strawberries: 8 blueberries
C. 4 strawberries: 30 blueberries
D. 32 strawberries: 30 blueberries
Answers
The ratio of the strawberries to the blueberries is 32 strawberries: 30 blueberries (option d).
What is the ratio?
Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s). The sign that is used to represent ratio is :.
The ratio of strawberries to blueberries - total number of strawberries : total number of blueberries.
(8 x 4) : 30
32 : 30
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Answer: A. 8 strawberries: 30 blueberries
Step-by-step explanation:
Hi, can you help me answer this question please, thank you
Answers
Based on the data given, we have a small size as a sample since n = 11.
Other given data are the mean = 58, sample SD = 17.9, and a population mean of 81.2. With a sample size small and unknown population standard deviation, the test statistic appropriate for this would be t-test. The formula is:
\(t=\frac{\bar{x}\text{ }-\mu}{\frac{s}{\sqrt[]{n}}}\)Knowing the data given above, let's apply it to the formula.
\(t=\frac{58-81.2}{\frac{17.9}{\sqrt[]{11}}}=\frac{-23.2}{5.39705}\approx-4.299\)The test statistic is -4.299 and a p-value of 0.0008. (one-tail)
The counting number just before C5F sixteen is
Answers
the counting number just before C5F16 is 3,072.
Please help me with this
Answers
Answer:
96 cards
Step-by-step explanation:
each peice of paper makes 4 card, multiply that by the amount of paper, boom 96
Let (1=1,2,3, 4, 5, 6, 7, 8, 9, 10
Answers
The list of elements in the sets are as follows:
A. A ∩ B = {2, 9}
B. B ∩ C = {2, 3}
C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}
D. B ∪ C = {2, 3, 5, 7, 9, 10}
How to find the elements in a set?Set are defined as the collection of objects whose elements are fixed and can not be changed.
Therefore,
universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10}
A = {1, 2, 7, 8, 9}
B = {2, 3, 5, 9}
C = {2, 3, 7, 10}
Therefore,
A.
A ∩ B = {2, 9}
B.
B ∩ C = {2, 3}
C.
A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}
D.
B ∪ C = {2, 3, 5, 7, 9, 10}
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A football club is the only one in its region and is therefore able to behave like a monopolist. It sells tickets to Adults (a) and Juniors (j), whose demand curves are given by:
Pa = 200 − Qa
Pj = 160 − Qj
Additionally, the club’s total costs are given by = 20Qi
The club hires an economist to consider its pricing strategy and receives the advice that it should charge different prices to each type of supporter. Find the prices it sets in both markets, the sales (output) in each and its overall level of profit and illustrate profit maximising outputs and prices of each consumer type on a graph (one graph for each type of consumer). Calculate consumer surplus in this case.
Answers
Answer:
Adult market
price: 110sales: 9900profit: 8100consumer surplus: 9000Junior market
price: 90sales: 6300profit: 4900consumer surplus: 5600Total profit: 13000
Total consumer surplus: 14600
Step-by-step explanation:
Given Adult (a) and Junior (j) demand equations Pa = 200 -Qa and Pj = 160 -Qj, and cost equation C = 20Q, you want to find the price in each market that maximizes profit, the sales in each market, and the consumer surplus, and a graph of profit-maximizing sales and prices.
RevenueEach demand equation is of the form P = Pmax -Q, where P is the price that will result in sales of Q tickets. The revenue (R) in each case is the product of numbers of tickets sold (Q) and the price at which they are sold (P).
R = QP = Q(Pmax -Q)
ProfitThe profit is the difference between revenue and cost.
Profit = R - C = Q(Pmax -Q) -20Q
Profit = Q(Pmax -20 -Q)
Writing the demand equation in terms of P, we find ...
Q = Pmax -P
Substituting this into the Profit equation gives ...
Profit = (Pmax -P)(Pmax -20 -(Pmax -P))
Profit = (Pmax -P)(P -20)
The profit function describes a downward-opening parabolic curve with zeros at P=Pmax and P=20. The maximum profit is on the line of symmetry of this curve, halfway between these values of P:
Price for maximum profit = (Pmax +20)/2 = Pmax/2 +10
PricesIn the adult market, Pmax = 200, so the profit-maximizing ticket price is ...
Pa = 200/2 +10 = 110 . . . . price for maximum profit in Adult market
In the Junior market, Pmax = 160, so the profit-maximizing ticket price is ...
Pj = 160/2 +10 = 90 . . . . price for maximum profit in Junior market
SalesUsing the revenue equation, we find the sales in each market to be ...
Qa = 200 -Pa = 200 -110 = 90
Ra = Qa·Pa = 90(110) = 9900 . . . . sales in Adult market
Qj = 160 -Pj = 160 -90 = 70
Rj = Qj·Pj = 70(90) = 6300 . . . . sales in Junior market
Overall ProfitThe profit in each market is ...
Adult market profit = 90(110 -20) = 8100
Junior market profit = 70(90 -20) = 4900
The overall profit will be the sum of the profits in each market:
Overall profit = 8100 +4900 = 13000
Consumer surplusThe consumer surplus in each market is the area below the demand curve and above the price point. It is half the product of the maximum price and the quantity actually sold.
CSa = (1/2)(200)Qa = 100(90) = 9000
CSj = (1/2)(160)(Qj) = 80(70) = 5600
The total consumer surplus is ...
CS = CSa +CSj = 9000 +5600 = 14,600 . . . . total consumer surplus
Graph
The first attachment shows the sales (output) in each market (red=Adult, purple=Junior) as a function of ticket price. It also shows the corresponding profit (orange=Adult, blue=Junior). The profit-maximizing price point is marked on each curve. You will note that it is different from the output-maximizing price point.
The second attachment illustrates the consumer surplus in each market. That graph has price on the vertical axis, and quantity on the horizontal axis. The colors correspond to the colors on the graph in the first attachment.
What is the next number in the series: 4, 5, 9, 25, 89, ___
Answers
Answer:
345
Step-by-step explanation:
1 + 4 = 5
4 + 5 = 9
16 + 9 = 25
64 + 25 = 89
1, 4, 16, and 64 are powers of 4. The next power of 4 is 256.
256 + 89 = 345
The answer is 345 (don’t ask why)
Write a rule for g(x)=f(x+2) when f(x)=x4+1
. Then describe the graph of g
as a transformation of the graph of f.
Answers
The rule for function g is:
g(x) = (x + 2)⁴ + 1
And this is a translation of 2 units to the left of f(x).
How to write the rule for g(x)?Here we know that the function f(x) is:
f(x) = x⁴ + 1.
And function g is written as:
g(x) = f(x + 2)
Replacing f(x) we will get:
g(x) = (x + 2)⁴ + 1
That is the rule for g(x).
Now let's identify the transformation.
We know that a horizontal shift of N units is written as:
g(x) =f(x + N)
if N > 0 the shift is to the left.
if N < 0 the shift is to the right.
Here we have:
g(x)=f(x+2)
So this is a shift of 2 units to the left.
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PLS HELP EMERGENCY!!!
Answers
Answer:
\(P(t) = 29816591(1.025)^{t-5}\)
Step-by-step explanation:
Equation:
The equation for the population of California, in t years after 1990, is given by:
\(P(t) = 29816591(1.025)^t\)
In which 29816591 is the initial population, that is, the population in 1990.
From 1995:
First, we have to find the population in 1995(5 years after 1990), which is P(5), which we will consider as the initial value in the equation.
So
\(P(5) = 29816591(1.025)^5 = 33734736\)
So
Since t is still given in years after 1990, we have to subtract t by 1995 - 1990 = 5 in the exponent. So
\(P(t) = 29816591(1.025)^{t-5}\)
Suppose a computer chip manufacturer rejects 2% of the chips produced because they fail presale testing. What's the probability that the fifth chip you test is the first bad one you find?
Answers
The probability that the fifth chip you test is the first bad one you find is given as 1.845%
How to solve for the probabilityWe have the following details to solve this problem with
Probability p = 0.02
We have q defined which is 1 - p
1 - 0.02 = 0.98
x = 5 because it says the fifth the chip
The formula with which we are to solve the problem is given as
\(p(x) = q^{x-1} p\)
when we put in the values into the formula we would have
p(x) = 0.98⁵⁻¹(0.02)
= 0.98⁴ (0.02)
= 0.01845
= 1.845%
The probability is given as 1.845%
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while working at the school store, john sold a jacket for $40.00 and notebooks for $1.50 each.If he collected $92.50, how many notebooks did he sell?
Answers
Answer:
35 Notebooks
Step-by-step explanation:
$1.50x35=52.5
$52.5+$40=$92.5
or $92.50 - 40=$52.5
35x1.5=52.5
Answer:
35 notebooks
Step-by-step explanation:
let notebook as be 'x'
here, $40.00+x($1.50)=$92.50
x($1.50)=$92.50-$40.00
x($1.50)=$52.50
x=$52.50/$1.50
x=35
An initial amount of $40,000 increases by 8% per year. In how many years will the amount reach $60,000?
Answers
Find 1% of 40,000. 400
Multiply by 8. 3200
Divide by 20,000. 6.25
Answer:
6.25 Years
Step-by-step explanation:
First, find 8% of 40,000 which is 3,200 which represents how much the initial amount increases per year.
Next, find out how much you need to increase by subtracting 40,000 from 60,000 which means you need 20,000 more dollars.
Next, divide how much money you need by how much it increases to see how many years it will take.
20,000 divided by 3,200 is 6.25
Choose the equation that is modeled by the graph below:
A - y=4x
B - y=−2.33333x+4
C - y=4x−2.33333
D - y=−42.33333x+4
Answers
Answer:
B - y=−2.33333x+4 I think
At a local print shop, 14 copies can be made for $4. At this rate, how how many copies could be made for $8?
Full explanation (No links)
Answers
Answer:
28
Step-by-step explanation:
the ratio is written as copies/dollars.
14/4=x/8
since we can multiply 4 by 2 to get 8, multiply 14 by 2 as well.
14/4=28/8
The reason that’s correct is because $8 is 2 times more than $4. So we would do 14 (which is the amount of copies that are made for $4) x 2 = 28 copies