Answer:
D) Obtuse triangle
Step-by-step explanation:
Obtuse triangles have an angle greater than 90 degrees, and this triangle has an angle of 105.
At a Halloween sale, every item in the store is advertised as one-fourth off the original price. If an item is marked with a sale price of $150, what was its original price? Show or explain how you got your answer.
Answer:
$200.00
Step-by-step explanation:
We are asking what is 75% of what number is 150. If we take off 1/4 or 25% we are leaving on 3/4 or 75%
.75 x = 150 Divide both sides by .75
\(\frac{.75x}{.75}\) = \(\frac{150}{.75}\)
x = 200
Check:
200 x .25 = 50 To find the discount.
200 - 50 = 150 Subtract the discount from the original price to find the sale's price.
Helping in the name of Jesus.
which of the following reflective symmetries apply to the hexagon?
The line y = -7x/3 is a line of symmetry to the given hexagon while the line y=x is not a line of symmetry to it
This makes the answer to the first statement Yes and the second statement No. That is
Reflective symmetry over the line y=-7x/3 -------------------Yes
Reflective symmetry over the x-axis ------------------------------------No
Find the slope of the line passing through the points (6, 4) and (6, -3).
Answer:
undefined
Step-by-step explanation:
slope = (y_2 - y_1)/(x_2 x_1)
slope = (-3 - 4)/(6 - 6)
slope = -7/0
Since division by zero is undefined, this line has undefined slope.
12v+4=-64 please include steps
Answer:
17.3
Step-by-step explanation:
Answer:
v=-17/3
Step-by-step explanation:
12v+4=-64
subtracting 4 from both sides we get
12v=-68
dividing by 12 on both sides we get
v=-68/12
simplifying we get
v=-17/3
hope that helps if it does please mark my answer as brainliest
Pls help I need a good grade
Answer:
mean dear I cannot get the question??
Suppose you have $1300 deposited at 4.75% compounded monthly. About long will it take your
balance to increase to $3200?
Answer:
20 months
Step-by-step explanation:
Let's write an equation to describe the compound increase:
C = 1300 * 1.0475^t (where C = money in account, t = number of months)
Now, we need C to equal 3200, so let's do that:
3200 = 1300 * 1.0475^t
Divide both sides by 1300:
32/13 = 1.0475^t
This part is tricky, but to isolate t we can use logarithms. Here's an example:
2^x = 8 (2 to the power of what is 3?)
x = \(log_{2} (8)\) = 3 (take note that the 2 goes in subscript, whereas the 8 goes in the brackets)
Now to apply this to our problem:
t = \(log_{1.0475}(\frac{32}{13})\) = ~19.411
We need to round up here, as we cannot pass only a fraction of a month and 19 months is not enough (you will have $3,139.57), so the answer is 20 months.
In parallelogram RELA you are given that the measure of angle R = 110 degrees. Find the measure of angle A.
Answer:
May I ask why you are you doing this math in college?
Step-by-step explanation:
A 20-question multiple choice quiz has five choices for each question. Suppose that a student just guesses, hoping to get a high score. The teacher carries out a hypothesis test to determine whether the student was just guessing. The null hypothesis is p = 0.20, where p is the probability of a correct answer.
a. Which of the following describes the value of the z-test statistic that is likely to result? Explain your choice.
i. The z-test statistic will be close to 0.
ii. the z-test statistic will be far from 0.
b. Which of the following describes the p-value that is likely to result? Explain your choice.
i. The p-value will be small.
ii. The p-value will not be small.
Answer:
a) i. The z-test statistic will be close to 0, as the sample mean and the tested proportion are expected to be close values.
b) ii. The p-value will not be small, as the z-statistic is close to 0.
Step-by-step explanation:
The null hypothesis is p = 0.20
The teacher carries out a hypothesis test to determine whether the student was just guessing.
Test if the proportion is different from 0.2. So the alternate hypothesis is:
\(H_{a}: p \neq 0.2\)
Five choices for each question, one of which is correct.
Probability of having a correct answer is \(X = \frac{1}{5} = 0.2\)
The test statistic is:
\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)
In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.
a. Which of the following describes the value of the z-test statistic that is likely to result?
In this question, \(X = p = \mu\), which meas that the numerator of the z-statistic will be close to 0, which means that the z-test statistic will be close to 0.
b. Which of the following describes the p-value that is likely to result?
pvalue is 2 multiplied by the pvalue of Z(if negative), or 1 subtracted by the pvalue of Z(if positive).
Since the value of Z is close to 0, either the pvalue of Z or 1 subtracted by the pvalue of Z is close to 0.5, and multiplied by 2 will be close to 1. So, as Z is close to 0, the pvalue will not be small.
What is the area of the circle above?
Answer:
201.6
i think
Answer: I am pretty sure its A
Step-by-step explanation:
Simplify please:
4x8=13-7
Answer:
This statement is false
Step-by-step explanation:
4*8=13-7
48=6
Hence, this equation is false
Answer:
False, as the sides are not equal.
Explanation:
4 x 8 = 13 -7
32 = 6
False, the statement is False
Please awnser asap I will brainlist
Answer:
V = 180 (vans)
S = 90 (small trucks)
L = 40 (large trucks)
Step-by-step explanation:
Set up the variables: Let V represent the number of vans, S represent the number of small trucks, and L represent the number of large trucks.
Write the equations:
V + S + L = 310 (total number of vehicles)
V = 2S (twice as many vans as small trucks)
35,000V + 70,000S + 60,000L = 15,000,000 (total cost of the vehicles)
Substitute equation 2) into equation 1):
2S + S + L = 310
3S + L = 310
Simplify equation 3) by substituting V = 2S:
70,000S + 70,000S + 60,000L = 15,000,000
140,000S + 60,000L = 15,000,000
Set up a system of equations:
3S + L = 310
140,000S + 60,000L = 15,000,000
Eliminate L by multiplying equation 1) by 60,000:
60,000(3S + L) = 60,000(310)
180,000S + 60,000L = 18,600,000
Subtract equation 2) from the new equation:
(180,000S + 60,000L) - (140,000S + 60,000L) = 18,600,000 - 15,000,000
40,000S = 3,600,000
Solve for S:
S = 90
Substitute the value of S into equation 1) to solve for L:
3(90) + L = 310
270 + L = 310
L = 40
Substitute the values of S and L into equation 2) to solve for V:
V = 2S
V = 2(90)
V = 180
The final answer is:
V = 180 (vans)
S = 90 (small trucks)
L = 40 (large trucks)
Answer:
180 Vans 90 Small trucks and 40 Large trucks
Step-by-step explanation:
Mrs. Darby would like to determine if the cafeteria should sell snacks during non lunch periods.
Determine the x- and y- intercepts for the graph defined by the given equation.
y = x + 8
a.
x-intercept is (0, 8)
y-intercept is ( -8, 0)
c.
x-intercept is ( -8, 0)
y-intercept is (0, 8)
b.
x-intercept is (0, -8)
y-intercept is ( 8, 0)
d.
x-intercept is ( 8, 0)
y-intercept is (0, -8)
Please select the best answer from the choices provided
Answer:
c
Step-by-step explanation:
To find the x-intercept, we set y to 0 and solve for x:
0 = x + 8
x = -8
Therefore, the x-intercept is -8.
To find the y-intercept, we set x to 0 and solve for y:
y = 0 + 8
y = 8
Therefore, the y-intercept is 8.
Hopes this helps
Part C
Find the average and margin of error for each of the following: the entire sample, 1950s records, 1960s records, 1970s records, Company A records, Company B records, and Company C records.
Part D
An oil embargo in the 1970s made vinyl more expensive, which some collectors say caused a decrease in average vinyl weight from 1970 onward. Do the data support this claim? Why or why not? Be sure to discuss averages, margins of error, and anything else that is relevant in your answer.
The average is 40 and the margin of error is 10.95.
What is margin of error?
The margin of error is a statistic expressing the amount of random sampling in the result of a survey.
Average (A) = sum of all the value/ given set.
A = (51+ 41 + 28)/3 = 40
margin of error = 100/square root of 120 = 10.95.
Therefore, the average is 40 and the margin of error is 10.95.
Learn more about margin of error here:
https://brainly.com/question/31154636
#SPJ1
The sides of a triangle are 21 ,29 , and 11 . Use the Pythagorean Theorem to determine if the triangle is right, acute, or obtuse. The triangle is because the square of the largest side the sum of the squares of the other two sides.
The triangle is obtuse because 11^2 + 21^2 does not equal 29^2.
The Pythagorean Theorem states that the sum of the squares of the two shorter sides of a triangle must equal the square of the longest side in order for the triangle to be a right triangle.
We can use this theorem to determine the type of triangle by calculating the square of the longest side (29^2), and then comparing it to the sum of the squares of the other two sides (11^2 + 21^2). Since 11^2 + 21^2 does not equal 29^2, the triangle is obtuse.
The Pythagorean Theorem states that the sum of the squares of the two shorter sides of a triangle must equal the square of the longest side in order for the triangle to be a right triangle.
Learn more about triangle here
https://brainly.com/question/2773823
#SPJ4
Event A, Event B, and Event C are provided. Event A and Event B aremutually exclusive. Event A and Event C are not mutually exclusive.P(A) = 0.45P(B) = 0.30P(C) = 0.25What is the probability of the complement of Event A [Find P(A')] ?Be sure to show your work and/or explain your reasoning.
If two events are mutually exclusive this means they cannot occur at the same time and do not over lap
If two events are mutually inclusive this means they can occur at the same time and they over lap
Event A and Event B are mutually exclusive
Event A and event C are not mutually exclusive
To find the complement of event A (A'), which is the part of the universal set of events not in A
We use the formula
\(1\text{ - P(A)}=P(A^{\prime})\)P(A) = 0.45
substituting this into the equation yields
\(\begin{gathered} 1-\text{ 0.45 = P(A')} \\ P(A^{\prime})\text{ = 0.55} \end{gathered}\)P(A') = 0.55
What is the equation to solve how many centimeters in 14.72 inches. There are 2.54cm in an inch
The equivalent of 14.72 inches in centimeter is 37.3888 cm
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The conversion from inches to cm is given by:
1 in = 2.54 cm
Hence:
14.72 in = 14.72 in * 2.54 cm per in = 37.3888 cm
The equivalent of 14.72 inches in centimeter is 37.3888 cm
Find out more on equation at: https://brainly.com/question/13763238
#SPJ1
TRUE OR FALSE : artificial selection takes a relatively long time to occur while natural selection takes a relatively short time to occur.
Artificial selection takes a comparatively longer time to occur while natural selection takes a comparatively shorter time to occur.
Thus, the given statement is False.
Artificial selection takes a very short time related to natural selection. The time taken to choose the individual having the required character and then making them produce the offspring is the only time needed for the entire process.
Artificial selection can be demonstrated as the series of steps for selecting the required character and making the individuals having those character to produce the offspring having the desired character.
To know more about Artificial Selection, please refer:
https://brainly.com/question/905676
#SPJ4
≥≥↔≡⇒mjfjch hfxcfhdskjlhvhjgfcvnfhju,b
Answer:
$1620.00
Step-by-step explanation:
A train is traveling at a constant rate of 70 miles per hour.
How long will it take the train to travel 175 miles?
Answer:
2.5 hours
Step-by-step explanation:
Time is distance divided by speed.
Therefore, you'd have to do 175/70
175/70 = 2.5
Help please! I’ll give brainliest!
Answer:
y= -2(-6) +5
y= 12+5
y= 17
y= -2(-3) +5
y= 6 +5
y= 11
y= -2(0) +5
y= 0+5
y=5
y= -2(3) +5
y= -6 +5
y= -1
PLEASE HELP ILL GIVE BRAINLIEST
Answer:
A. Combination.
B. 17020
Step-by-step explanation:
A. Determination whether it is permutation or combination.
From the question given above, we were told that the student body of 185 students wants to elect two (2) representatives.
This is clearly combination because it involves a selecting process (i.e selecting 2 out of 185).
NOTE: Combination involves selecting while permutation involves arranging.
B. Determination of the combination.
Total number of people (n) = 185
Number of chosen people (r) = 2
Number of combination (ₙCᵣ) =?
ₙCᵣ = n! / (n – r)! r !
₁₈₅C₂ = 185! / (185 – 2)! 2!
₁₈₅C₂ = 185! / 183! 2!
₁₈₅C₂ = 185 × 184 × 183! / 183! 2!
₁₈₅C₂ = 185 × 184 / 2!
₁₈₅C₂ = 185 × 184 / 2 × 1
₁₈₅C₂ = 34040 / 2
₁₈₅C₂ = 17020
PLEASE AM N MDDLE SCHOOL!
Y varies directly as x, and y = 22.5 when x = 0.9. Write a direct variegation equation for this situation
Answer:
\(y=25x\)
Step-by-step explanation:
Function Models
There are times where we are interested in expressing data sets into mathematic models. One of the most commonly used is the linear model, where the dependent variable has a linear relation with the independent variable. A special case of a linear model is the direct relation or proportion, where the variables relate in the form:
\(y=kx\)
Where k is an arbitrary constant.
We know y=22.5 when x=0.9. This can be used in the equation above to find the value of k:
\(22.5=k(0.9)\)
Solving for k:
\(\displaystyle k=\frac{22.5}{0.9}=25\)
The equation that models the relation is:
\(\boxed{y=25x}\)
Express using exponents and simplify any numerical coefficients.
Answer:
2×2×y¹+¹+¹+¹
that is 4y⁴
marke as brainliest pls
I believe that the answer would be to count up the y's and the 2's. so in this case it would be 4 • 4y
Pittman Company is a small but growing manufacturer of telecommunications equipment. The company has no sales force of its own; rather, it relies completely on independent sales agents to market its products. These agents are paid a sales commission of 15% for all items sold.
Barbara Cheney, Pittman’s controller, has just prepared the company’s budgeted income statement for next year as follows:
Pittman Company
Budgeted Income Statement
For the Year Ended December 31
Sales $ 17,500,000
Manufacturing expenses:
Variable $ 7,875,000
Fixed overhead 2,450,000 10,325,000
Gross margin 7,175,000
Selling and administrative expenses:
Commissions to agents 2,625,000
Fixed marketing expenses 122,500*
Fixed administrative expenses 1,860,000 4,607,500
Net operating income 2,567,500
Fixed interest expenses 612,500
Income before income taxes 1,955,000
Income taxes (30%) 586,500
Net income $ 1,368,500
*Primarily depreciation on storage facilities.
As Barbara handed the statement to Karl Vecci, Pittman’s president, she commented, “I went ahead and used the agents’ 15% commission rate in completing these statements, but we’ve just learned that they refuse to handle our products next year unless we increase the commission rate to 20%.”
“That’s the last straw,” Karl replied angrily. “Those agents have been demanding more and more, and this time they’ve gone too far. How can they possibly defend a 20% commission rate?”
“They claim that after paying for advertising, travel, and the other costs of promotion, there’s nothing left over for profit,” replied Barbara.
“I say it’s just plain robbery,” retorted Karl. “And I also say it’s time we dumped those guys and got our own sales force. Can you get your people to work up some cost figures for us to look at?”
“We’ve already worked them up,” said Barbara. “Several companies we know about pay a 7.5% commission to their own salespeople, along with a small salary. Of course, we would have to handle all promotion costs, too. We figure our fixed expenses would increase by $2,625,000 per year, but that would be more than offset by the $3,500,000 (20% × $17,500,000) that we would avoid on agents’ commissions.”
The breakdown of the $2,625,000 cost follows:
Salaries:
Sales manager $ 109,375
Salespersons 656,250
Travel and entertainment 437,500
Advertising 1,421,875
Total $ 2,625,000
“Super,” replied Karl. “And I noticed that the $2,625,000 equals what we’re paying the agents under the old 15% commission rate.”
“It’s even better than that,” explained Barbara. “We can actually save $80,500 a year because that’s what we’re paying our auditors to check out the agents’ reports. So our overall administrative expenses would be less.”
“Pull all of these numbers together and we’ll show them to the executive committee tomorrow,” said Karl. “With the approval of the committee, we can move on the matter immediately.”
Required:
1. Compute Pittman Company’s break-even point in dollar sales for next year assuming:
a. The agents’ commission rate remains unchanged at 15%.
b. The agents’ commission rate is increased to 20%.
c. The company employs its own sales force.
2. Assume that Pittman Company decides to continue selling through agents and pays the 20% commission rate. Determine the dollar sales that would be required to generate the same net income as contained in the budgeted income statement for next year.
3. Determine the dollar sales at which net income would be equal regardless of whether Pittman Company sells through agents (at a 20% commission rate) or employs its own sales force.
4. Compute the degree of operating leverage that the company would expect to have at the end of next year assuming:
a. The agents’ commission rate remains unchanged at 15%.
b. The agents’ commission rate is increased to 20%.
c. The company employs its own sales force.
Use income before income taxes in your operating leverage computation.
Answer: 1a. Break-even point assuming 15% commission rate:
Contribution margin per dollar of sales = Sales - Variable expenses = $17,500,000 - $7,875,000 = $9,625,000
Break-even point = Fixed expenses ÷ Contribution margin ratio
Contribution margin ratio = Contribution margin ÷ Sales = $9,625,000 ÷ $17,500,000 = 0.55
Break-even point = $4,607,500 ÷ 0.55 = $8,377,273
1b. Break-even point assuming 20% commission rate:
Contribution margin per dollar of sales = Sales - Variable expenses = $17,500,000 - $7,875,000 = $9,625,000
New commission rate = 20% of sales
New commission expense = 0.20 × $17,500,000 = $3,500,000
New contribution margin = $9,625,000 - $3,500,000 = $6,125,000
Break-even point = Fixed expenses ÷ Contribution margin ratio
Contribution margin ratio = Contribution margin ÷ Sales = $6,125,000 ÷ $17,500,000 = 0.35
Break-even point = $4,607,500 ÷ 0.35 = $13,164,286
1c. Break-even point assuming own sales force:
Contribution margin per dollar of sales = Sales - Variable expenses = $17,500,000 - $7,875,000 = $9,625,000
Fixed expenses increase by $2,625,000
The contribution margin decreases by $2,625,000 due to the elimination of agent commissions.
New contribution margin = $9,625,000 - $2,625,000 = $7,000,000
Break-even point = Fixed expenses ÷ Contribution margin ratio
Contribution margin ratio = Contribution margin ÷ Sales = $7,000,000 ÷ $17,500,000 = 0.40
Break-even point = ($4,607,500 + $2,625,000) ÷ 0.40 = $18,057,500
Sales required to generate the same net income as the budgeted income statement with 20% commission rate:
Net income = $1,368,500
Fixed expenses = $4,607,500 + $612,500 = $5,220,000
Contribution margin per dollar of sales = Sales - Variable expenses = $17,500,000 - (0.20 × $17,500,000) - $7,875,000 = $5,750,000
Required sales = (Fixed expenses + Net income) ÷ Contribution margin ratio
Contribution margin ratio = Contribution margin ÷ Sales = $5,750,000 ÷ $17,500,000 = 0.33
Required sales = ($5,220,000 + $1,368,500) ÷ 0.33 = $22,518,182
Sales at which net income would be equal regardless of sales method:
Net income = $1,368,500
Fixed expenses = $4,607,500 + $612,500 = $5,220,000
Contribution margin per dollar of sales for own sales force = $17,500,000 - $7,875,000 - $2,625,000 = $6,000,000
Contribution margin per dollar of sales for agents with 20% commission rate = $17,500,000 - (0.20 × $17,500,000) - $7,875
Compute the degree of operating leverage that the company would expect to have at the end of next year assuming:
a. The agents’ commission rate remains unchanged at 15%.
Contribution margin = Sales - Variable expenses
= $17,500,000 - $7,875,000
= $9,625,000
Contribution margin ratio = Contribution margin ÷ Sales
= $9,625,000 ÷ $17,500,000
= 0.55
Fixed expenses = $2,450,000 + $2,625,000 + $1,860,000 + $612,500
= $7,547,500
Operating income = Contribution margin - Fixed expenses
= $9,625,000 - $7,547,500
= $2,077,500
Degree of operating leverage = Contribution margin ÷ Operating income
= $9,625,000 ÷ $2,077,500
= 4.63
b. The agents’ commission rate is increased to 20%.
Contribution margin = Sales - Variable expenses
= $17,500,000 - $7,875,000
= $9,625,000
Fixed expenses = $2,450,000 + $3,500,000 + $1,860,000 + $612,500
= $8,422,500
Operating income = Contribution margin - Fixed expenses
= $9,625,000 - $8,422,500
= $1,202,500
Degree of operating leverage = Contribution margin ÷ Operating income
= $9,625,000 ÷ $1,202,500
= 7.99
c. The company employs its own sales force.
Contribution margin = Sales - Variable expenses
= $17,500,000 - $7,875,000
= $9,625,000
Fixed expenses = $2,450,000 + $2,625,000 + $109,375 + $656,250 + $437,500 + $1,421,875 + $80,500
= $7,780,750
Operating income = Contribution margin - Fixed expenses
= $9,625,000 - $7,780,750
= $1,844,250
Degree of operating leverage = Contribution margin ÷ Operating income
= $9,625,000 ÷ $1,844,250
= 5.22
Therefore, the degree of operating leverage would be 4.63, 7.99, and 5.22 if the agents' commission rate remains unchanged at 15%, is increased to 20%, and if the company employs its own sales force, respectively.
Step-by-step explanation:
5/2 as a mixed number
Answer:
2½
Step-by-step explanation:
2 goes into 5 2 times and leaves ½ remaining. put the 2 and ½ together for the answer of 2½.
Answer:
Step-by-step explanation:
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
A cone has an apex. True False
Answer:
True, a cone has an apex which is the point where the sides of the cone meet to form a tip.
Give your answer in scientific notation using only WHOLE numbers.
The number of pennies weighing as much s earth is 193 × 10²⁴
What are index forms?Index forms are described as described as those forms that are used to represent numbers that are too large or small in more proper ways.
Other names for index forms are scientific notation and standard forms.
What is ratio?Ratio is described as the comparison of numbers or variables on the basis of their size.
It shows how many times one number contains another.
From the information given, we have that;
The earth weighs = 5. 972 × 10 ²⁴ kilograms
The penny weighs = 3.1 × 10 ⁻³ kilograms
Divide the values
= 5. 972 × 10 ²⁴/3.1 × 10 ⁻³
= 1.93 × 10 ²⁶
= 193 × 10²⁴
Learn about index forms at: https://brainly.com/question/15361818
#SPJ1