Step-by-step explanation:
a. 8 × -1 = -8 or -2 × 4 = -8
8 ÷ -1 = -8 or 32 ÷ -4 = -8
b. -3 × 5 = 15 or 15 ×(-1) = -15
45 ÷ -3 = -15 or 225 ÷ -15 = -15
please rate brainliest if helps and follow
100 people went to a picnic. 32 people got sick with food poisoning. The Public HealthDepartment narrowed it down to either the chicken salad or the cream pie. They determined that80 people ate chicken salad, 75 people ate cream pie, 33 people ate chicken salad cream pie anddid not get sick, 5 ate neither food and did not get sick, 40% of the people who ate chicken saladgot sick, and 36% of the people who are cream pie got sick. Was it the chicken salad or thecream pie
Answer:
It was the chicken salad.
Step-by-step explanation:
If you multiply each amount of people that ate one or the other and how many got sick, you get:
Chicken salad: 32
Cream pie: 27
And 32 people got sick so it must be the chicken salad.
pls help I appreciate anyone that helps me
Answer:
The slope is (8) positive, so the amount should be positive.
I opened a savings account with $110 worth of birthday money and I make $8 a month.
Step-by-step explanation:
The slope is 8 so a positive number
Evaluate each indefinite integral. SHOW STEPS
1. integrate 75x ^ 4 * cos(5x ^ 5 - 3) dx
Integral by substitution
2. integrate 3cos u du
Isolate the coefficient
3 * integrate cos u du
Evaluate the integral
4. 3sin u
Simplify and add the C
= 3sin(5x ^ 5 - 3) + C
Answer
3sin(5x ^ 5 - 3) + C
hope this will help u
please mark me as a brainliest
Answer:
\(3sin(5x^{5} -3) + C\)
Step-by-step explanation:
\(\frac{d}{dx}[sin (ax^{n}+b)] = [anx^{n-1}cos(ax^{n} + b)]\)
a and b are constants
∴\(\frac{d}{dy} sin(5x^{5} -3) = [(5)(5)x^{5-1}-0] cos(5x^{5} -3)\)
= \(25x^{4} cos(5x^{5} -3)\)
\(\int\ {75x^{4}cos(5x^{5} -3)} \, dx\)
Rewriting the above by applying algebraic manipulation:
\(\int\ (3)(25){x^{4}cos(5x^{4} -3)} \, dx\)
=\(3[\int\ 25{x^{4}cos(5x^{5} -3)} \, dx]\)
= \(3sin(5x^{5} - 3) + C\)
C is a constant, which is added to the above integration because there are no limits set. In other words, this is an indefinite integral.
Please help me with this question.
A sales presentation aims to attract and compel the audience to whom the presentation is made.
How do you create a sales presentation?Creating a sales presentation involves several steps:
Define the goal and audience of the presentation: Before creating the presentation, it is important to understand the goal of the presentation, and the target audience it is meant for. This will help you tailor the content of the presentation to the specific needs and interests of the audience.
Research the product or service: Understand the product or service you are selling inside and out. This will help you answer any questions that may come up during the presentation and show that you are an expert on the subject.
Create an outline: Once you have a clear understanding of your audience and the product or service, create an outline for the presentation. This will help you organize your thoughts and stay on track during the presentation.
Create compelling content: Use persuasive language and storytelling to create content that is engaging and easy to understand. Use statistics, testimonials, and visual aids to support your points.
Design the visual aids: Use charts, graphs, images, and other visual aids to supplement the text of your presentation. Make sure that the visual aids are clear and easy to understand, and that they support the points you are making.
Rehearsal: Practice the presentation several times before delivering it. This will help you build confidence and ensure that the presentation flows smoothly.
Delivery: During the presentation, engage with the audience and be responsive to their questions and feedback. Make sure that you are well-prepared and that you stay on track.
Follow-up: After the presentation, make sure to follow up with the audience and address any remaining questions or concerns they may have.
Learn more about sales presentation:https://brainly.com/question/6902477
#SPJ1
Please answer this correctly
Answer:
50%
Step-by-step explanation:
Even numbers on a 6-sided die are 2, 4, and 6.
3 numbers out of 6 are even.
3/6 = 1/2
0.5 = 50%
If possible, find AB, BA, and A2.
First product:
\(AB=\begin{bmatrix}3&-3\\-7&0\\2&4\end{bmatrix}\begin{bmatrix}1&0\\0&1\end{bmatrix}=\begin{bmatrix}\begin{bmatrix}3&-3\end{bmatrix}\begin{bmatrix}1\\0\end{bmatrix}&\begin{bmatrix}3&-3\end{bmatrix}\begin{bmatrix}0\\1\end{bmatrix}\\\begin{bmatrix}-7&0\end{bmatrix}\begin{bmatrix}1\\0\end{bmatrix}&\begin{bmatrix}-7&0\end{bmatrix}\begin{bmatrix}0\\1\end{bmatrix}\\\begin{bmatrix}2&4\end{bmatrix}\begin{bmatrix}1\\0\end{bmatrix}&\begin{bmatrix}2&4\end{bmatrix}\begin{bmatrix}0\\1\end{bmatrix}\end{bmatrix}=\begin{bmatrix}3&-3\\-7&0\\2&4\end{bmatrix}\)
Notice how multiplying A by B produces A again, because B is an identity matrix.
The second product cannot be carried out because A has more columns that B has rows.
The third product also cannot be computed because A is not a square matrix.
Consider right triangle ABC with C = 90°.
If b = 20 and c = 29, find a.
Can someone answer this question?
The graph of the polynomial function y = f(x) in the xy plane could be the first graph.
Given a polynomial function f.
Range of the polynomial function is the set of all the real numbers less than or equal to 4.
So y values are y ≤ 4
So the vertex of the function will be at y = 4 and other value are less than 4.
So parabola is downwards.
Two options are there with the parabola folded downwards.
Now the zeroes of f are at -3 and 1.
Zeroes of f are the values of x where the function touches the X axis.
Hence the correct graph is first one.
Learn more about Polynomials here :
https://brainly.com/question/11325213
#SPJ1
Find two positive numbers whose difference is 28 and whose product is 2720.
Answer:
68 and 40
Step-by-step explanation:
x - y = 28
x * y = 2720
x = 28 + y
(28+y)y = 2720
28y+y^2 = 2720
y^2 + 28y - 2720 = 0
discriminant = 28^2 - 4(-2720) = 784 + 10 880 = 11 644
we are searching only the positive value
y = (-28 + 108)/2 = 80/2 = 40
x = 28 + 40 = 68
answer the following questions and round your answer to 2 decimal places 72% of all students at the college still need to take at least another math class.of 38 students are randomly selected find the probability that
The probability and binomial distribution are solved and the selected student will need to attend the math class
Given data ,
Let's denote the probability that a randomly selected student still needs to take another math class as "p".
Given that 72% of all students still need to take another math class, we have p = 0.72.
From the binomial distribution , we get
P(X=k) = C(n, k) * p^k * (1-p)^(n-k)
where:
P(X=k) is the probability of exactly k successes in n trials
C(n, k) is the number of ways to choose k items from n items, also known as "n choose k"
p is the probability of success on a single trial
k is the number of successes
n is the total number of trials
Let's use this formula to solve the questions:
a)
Exactly 29 of them still need to take another math class:
Here, k = 29, n = 38, and p = 0.72
P(X=29) = C(38, 29) * 0.72^29 * (1-0.72)^(38-29)
P ( X = 29 ) = 0.1257
b)
Fewer than 27 of them still need to take another math class:
Here, we need to find the probability of having 0, 1, 2, ..., 26 successes, and then add them together:
P(X<27) = P(X=0) + P(X=1) + P(X=2) + ... + P(X=26)
P ( X < 27 ) = 0.5096
c)
More than 25 of them still need to take another math class:
Here, we need to find the probability of having 26, 27, 28, ..., 38 successes, and then add them together:
P(X>25) = P(X=26) + P(X=27) + P(X=28) + ... + P(X=38)
P ( X > 25 ) = 0.7537
Hence , the binomial distribution is solved
To learn more about binomial distribution click :
https://brainly.com/question/29350029
#SPJ1
The complete question is attached below :
Answer the following questions and round your answers to 3 decimal places. 72% of all students at the college still need to take at least another math class. If 38 students are randomly selected, find the probability that
1. Exactly 29 of them still need to take another math class.
2. Fewer than 27 of them still need to take another math class.
3. More than 25 of them still need to take another math class.
find the total surface area of the following prism
5cm
6cm
8cm
4cm
Answer:
The total surface area of the given prism is 152 square centimeters.
Explanation:
I'm very brainly.
Answer: its 152 squared cm
Step-by-step explanation:
i just used a app to answer
Dana is making bean soup. The recipe she has makes 10 servings and uses
3/4
of a pound of beans. How many total pounds of beans does she need to make 5 servings of soup?
She has
1/16
of a pound of beans in one container and
1/4
of a pound of beans in another container. How many more pounds of beans does Dana need to make the 5 servings of soup? Show your work or explain your answer.
Each character in a password is either a digit [0-9] or lowercase letter [a-z]. How many valid passwords are there with the given restriction(s)? Length is 13. No character repeats.
Answer:
2310789600
Step-by-step explanation:
10 digits + 26 letters = 36
₃₆C₁₃ = 2310789600
Hope this helps, although i am not 100 percent sure its right.
I came across a question in the pigeonhole principle that – Let S be a set of n integers. Show that there is a subset of S, the sum of whose elements is a multiple of n by pigeonhole.
How do I solve this question??
In this case the difference is a multiple of n and as you see the difference is still a sum of some integers subset from 1 to n
What is subset?
If every element of set A is also an element of set B, then set B is a superset of set A and set A is a subset of set B. A and B could be equal; if they are not, then A is a legitimate subset of B. Include refers to the property that one set is a subset of another.
Consider the set{a1,a1+a2,a1+a2+a3,...,a1+a2+...+an}You have a set of n elements .If all remainders in dividing by n, are different, one of the remainders is 0 and we are done .Otherwise two remainders are the same.
In this case the difference is a multiple of n and as you see the difference is still a sum of some integers from 1 to n However I think it would be natural to consider the set{0,a1,a1+a2,a1+a2+a3,…,a1+a2+⋯+an}of n+1 elements, so that there is only one case instead of two.
Learn more about subset :
brainly.com/question/13265691
#SPJ4
Below are the jersey numbers of 11 players randomly selected from a football team. Find the range, variance, and standard deviation for the given sample data. What do the results tell us?
20 82 57 94 44 28 46 15 49 55 34
Answer:
Variance: 589.0545454545456
Standard Deviation: 24.270445926157716
Range: 79
Step-by-step explanation:
First, I added up all of the numbers:15 + 20 + 28 + 34 + 44 + 46 + 49 + 55 + 57 + 82 + 94 = 524
I squared the total, and then divided the number of items in the data set524 x 524 = 274576
274576 / 11 = 24961.454545454544
I took my set of original numbers from step 1, squared them individually this time, and added them all up:(15 x 15) + (20 x 20) + (28 x 28) + (34 x 34) + (44 x 44) + (46 x 46) + (49 x 49) + (55 x 55) + (57 x 57) + (82 x 82) + (94 x 94) = 30852
I subtracted the amount in step 2 from the amount in step 3:30852 - 24961.454545454544 = 5890.545454545456
I subtracted 1 from the number of items in my data set:11 - 1 = 10
I divided the number in step 4 by the number in step 5:5890.545454545456 / 10 = 589.0545454545456
This is my Variance!
Finally, I took the square root of the number from step 6 (the Variance),
√(589.0545454545456) = 24.270445926157716
This is my Standard Deviation!
yall im almost done pls HELP
Answer:
61 degrees
Step-by-step explanation:
==>Given ∆MNO,
MO = 18,
MN = 6
m<O = 17°
==>Required:
Measure of <N
==>SOLUTION:
Use the sine formula for finding measure of angles which is given as: Sine A/a = Sine B/b = Sine C/c
Where,
Sine A = 17°
a = 6
Sine B = N
b = 18
Thus,
sin(17)/6 = sin(N)/18
Cross multiply
sin(17)*18 = sin(N)*6
0.2924*18 = 6*sin(N)
5.2632 = 6*sin(N)
Divide both sides by 6
5.2632/6 = sin(N)
0.8772 = sin(N)
sin(N) = 0.8772
N = sin^-1(0.8772)
N ≈ 61° (approximated)
To pay for a home improvement project that totals $20,000, a homeowner is choosing between two different credit card loans with an interest rate of 9%. The first credit card compounds interest quarterly, while the second credit card compounds monthly. The homeowner plans to pay off the loan in 10 years.
Part A: Determine the total value of the loan with the quarterly compounded interest. Show all work and round your answer to the nearest hundredth. (4 points)
Part B: Determine the total value of the loan with the monthly compounded interest. Show all work and round your answer to the nearest hundredth. (4 points)
Part C: What is the difference between the total interest accrued on each loan? Explain your answer in complete sentences. (2 points)
Please only responded if you know how to do it, will give the brainiest to however answers it correctly
The total value of the loan with quarterly compounded interest is approximately $45,288.38, while the total value of the loan with monthly compounded interest is approximately $45,634.84. The difference in total interest accrued is approximately $346.46.
Part A: To determine the total value of the loan with quarterly compounded interest, we can use the formula for compound interest:
A = P(1 + r/n)^(nt),
where:
A is the total value of the loan,
P is the principal amount (initial loan amount),
r is the interest rate (in decimal form),
n is the number of times interest is compounded per year,
and t is the number of years.
Given:
P = $20,000,
r = 9% or 0.09,
n = 4 (quarterly compounding),
t = 10 years.
Substituting the values into the formula, we have:
A = 20000(1 + 0.09/4)^(4*10).
Calculating this value, we find:
A ≈ $45,288.38.
Therefore, the total value of the loan with quarterly compounded interest is approximately $45,288.38.
Part B: To determine the total value of the loan with monthly compounded interest, we follow the same formula but with a different value for n:
n = 12 (monthly compounding).
Substituting the values into the formula, we have:
A = 20000(1 + 0.09/12)^(12*10).
Calculating this value, we find:
A ≈ $45,634.84.
Therefore, the total value of the loan with monthly compounded interest is approximately $45,634.84.
Part C: The difference between the total interest accrued on each loan can be calculated by subtracting the principal amount from the total value of each loan.
For the loan with quarterly compounding:
Total interest = Total value - Principal
Total interest = $45,288.38 - $20,000
Total interest ≈ $25,288.38.
For the loan with monthly compounding:
Total interest = Total value - Principal
Total interest = $45,634.84 - $20,000
Total interest ≈ $25,634.84.
The difference between the total interest accrued on each loan is approximately $346.46.
for such more question on compounded interest
https://brainly.com/question/20406888
#SPJ8
A store is having a 25% off sale on all shirts. Show TWO different ways to calculate the sale price for a shirt that normally costs $24.00
Answer:
Find 10% Then half it to find 5%. Times what 10% is by 2 and then add the 5%. Or find out what goes into 24 4 times as it's 25% off and 25 goes into 100 4 times.
Step-by-step explanation:
The radius of a cirdle is (x+ 4)cm. Find the area of the circle in
terms of the variable x Leave the answer in term of π
Answer:
50.24 cm
Step-by-step explanation:
50.24 cm
2
Explanation:
Using the formula,
Area
=
π
×
r
2
Here
π
is a button on your calculator you can find, but is also generally known as
3.14
, you can use either one, but teachers usually prefer you use the
π
button.
r
=
the radius, in your case, it's
4 cm
So
Area
=
π
×
r
2
=
π
×
(
4 cm
)
2
=
16
π
cm
2
≈
50.24 cm
2
The bar graph above shows the number of T-shirts of different colors sold by a store one week. The following
week, the store had a sale, and sales of each color T-shirt sold increased by about 50 percent from the
previous week. Of the following, which is closest to the number of green T-shirts sold the week of the sale?
0 15
0 20
045
0 60
The number of green t-shirts sold are 45.
Given that a bar graph showing the sell of t-shirts of 4 different colour,
It is saying that the sell has increased by 50% next week, we need to find the number of green t-shirts to be sold in next week,
So, the number of green t-shirts sold in previous week = 30
So this week the sell should have been increased by 50%
Therefore, the number of green t-shirts sold this week = 150/100 × 30
= 1.5 × 30 = 45
Hence the number of green t-shirts sold are 45.
Learn more about bar graphs click;
https://brainly.com/question/31158559
#SPJ1
What type of property is 8x-8x-12=9x-8x-36
Answer:
The Subtraction Property of Equality.
Step-by-step explanation:
The Subtraction property of equality refers to balancing an equation by using the same mathematical operation on both sides.
-----------------------------------------------------------------------------------------------------------------
Hope I Helped, Have a Nice Day!
-Aadi x
Shopping at super sales day, martha buys her children 3 shirts and 2 pairs of pants for $85.50. She returns during the sale and buys 4 shirts and 3 more pairs of pants for $123. what was the sale price of the shirts and pants?
Answer:
Shirt costs $10.50, pants cost $27Step-by-step explanation:
Set equations as follows3s + 2p = 85.54s + 3p = 123Solve the system by eliminationMultiply the first equation by 4 and the second one by 3 and subtract equations
4(3s + 2p) - 3(4s + 3p) = 4(85.5) - 3(123)12s + 8p - 12s - 9p = 342 - 369- p = - 27p = 27Find the value of s
3s + 2*27 = 85.53s + 54 = 85.53s = 85.5 - 543s = 31.5s = 31.5/3s = 10.5Jenna bought a jacket at the sale price of $47. The original cost of the jacket was $125. What percent represents the discount that Jenna received when buying the jacket? (round to the nearest percent)
What is the answer of this triangle congruence question.
The value of x in the triangles are 9.
What is a quadratic equation?For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.
Given:
The triangles are congruent.
That means, their corresponding angles are also congruent.
In ΔJKL,
the sum of all the angles of the triangle is 180°.
So,
x²-2x + x + 29 + 3x + 52 = 180
x² + 2x - 99 = 0
Solving the quadratic equation,
x² +11x - 9x - 99 = 0.
x (x + 11) -9 (x + 11) = 0
x = 9 and x = -11
Here, we take x = 9.
Therefore, the value of x is 9.
To learn more about the quadratic equation;
https://brainly.com/question/17177510
#SPJ1
The mapping diagram represents a relation where x represents the independent variable and y represents the dependent variable. A mapping diagram with one circle labeled x values containing values negative 3, negative 1, 1, 3, and 5 and another circle labeled y values containing values 0, 2, and 5 and arrows from negative 3 to 0, negative 1 to 2, 1 to 0, 3 to 2, and 5 to 5. Is the relation a function? Explain. No, because for each input there is not exactly one output No, because for each output there is not exactly one input Yes, because for each input there is exactly one output Yes, because for each output there is exactly one input
Yes, because for each input there is exactly one output. Therefore, the relation represented by the mapping diagram is a function.
To determine if the relation represented by the given mapping diagram is a function, we need to check if each input (x value) has exactly one output (y value) associated with it.
From the given mapping diagram, we can see that:
The input value -3 is associated with the output value 0.
The input value -1 is associated with the output value 2.
The input value 1 is associated with the output value 0.
The input value 3 is associated with the output value 2.
The input value 5 is associated with the output value 5.
As we can see, each input value has exactly one output value associated with it. Therefore, the relation represented by the mapping diagram is a function.
for such more question on mapping diagram
https://brainly.com/question/27991506
#SPJ11
show that a) cos3∅=cos²∅-3cos∅sin²∅
The correct proof of the equation is cos3θ =cos(2θ + θ) = cos²θ - 3cosθsin²θ (Proved)
Solving trigonometry identity
Given the trigonometry identity below:
cos3∅=cos²∅-3cos∅sin²∅
We are to prove that both sides of the equation are equal.
cos 3θ = cos(2θ + θ)
Using the double angle formula for cosine, we can expand the first term:
cos(2θ + θ) = cos2θ cos θ - sin2θ sinθ
Since cos2θ = cos²θ - sin²θ
cos(2θ + θ) = cos²θ - sin²θ - 2cosθsinθsinθ
cos(2θ + θ) = cos²θ - sin²θ - 2cosθsin²θ
On simplifying, we can see that;
cos3θ =cos(2θ + θ) = cos²θ - 3cosθsin²θ (Proved)
Learn more on trigonometry here: https://brainly.com/question/7331447
#SPJ1
Matrix M has x-rows and (11-x) columns. Matrix N has y-rows and (y+5) columns. If MN and NM both are defined, find the values of x and y
Answer:
\(x=8, y=3\)
Step-by-step explanation:
Recall that if a matrix multiplication of two matrices is defined, then the number of columns of the first matrix is equivalent to the number of rows of the second matrix.
Since matrix M has (11-x) columns and matrix N has y rows, and MN is defined, so it follows:
\(y=11-x----(1)\)
Since matrix N has (y+5) columns and matrix M has x rows, and NM is defined, so it follows:
\(y+5=x----(2)\)
Substitute (1) into (2):
\(11-x+5=x\\2x=16\\\therefore x=8--(3)\)
Substitute (3) into (1):
\(y=11-8=3\)
Area of 4 yd 9yd 12yd
Area of the shape is 133.12 yd²
What is area of shape?The area of a shape is the space occupied by the boundary of a plane figures like circles, rectangles, and triangles.
The shape consist of two other shapes; Rectangle and semi circle
Area of the shape = area of rectangle + area of semi circle
area of rectangle = 9× 12 = 108 yd²
area of semi circle = πr²/2
= 3.14 × 4²/2 = 25.12 yd²
area of the shape
= 108 + 25.12
= 133.12 yd²
Therefore the area of the shape is 133.12 yd²
learn more about area of shape from
https://brainly.com/question/25965491
#SPJ1
Which best describes the relationship between the line that passes through the points (6, -1) and (11, 2) and the line that passes through the
points (5-7) and (8-2)?
Answer:
D. Neither perpendicular nor parallel
Step-by-step explanation:
Let's find the slope (m) of both lines:
✔️Slope (m) of the line that passes through (6, -1) and (11, 2):
Slope (m) = change in y/change in x
Slope (m) = (2 -(-1))/(11 - 6) = 3/5
✔️Slope (m) of the line that passes through (5, -7) and (8, -2)
Slope (m) = change in y/change in x
Slope (m) = (-2 -(-7))/(8 - 5) = 5/3
✅The slope of both lines are not the same, therefore they are not parallel nor same line.
Also, the slope of one is not the negative reciprocal of the other, therefore they are not perpendicular.
find the inverse of f(x)= x-3/2
i dont understand this
Answer:
the correct answer is shown below
Step-by-step explanation:
hope this helps