Answers
Answer:
30
Step-by-step explanation:
in order to do this we have to look at the ratio and so in order to get from 10 to 60 on the denominator we multiply by 6 so what you do to the bottom you must also do to the top so we multiply the 5 by 6 and we get our answer of 30
Related Questions
write a quadratic function f whose only zero is 11
Answers
\(\qquad\qquad\huge\underline{{\sf Answer}}\)
Here's the solution ~
To write a quadrilatic function, we have to use its roots, like we have to subtract the roots from x and multiply them ~ then we will get our required function !
Since our only root is 11 here, we have to do t double
\(\qquad \sf \dashrightarrow \:(x - 11)(x - 11)\)
\(\qquad \sf \dashrightarrow \: {x}^{2} - 11x - 11x + 121 \)
\(\qquad \sf \dashrightarrow \: {x}^{2} - 22x + 121\)
That's our required function ~ I hope you understood the whole thing !
Hayden has three number cards. The
minimum of his three cards is 36, the
range is 41 and the median is 46.
What is the mean of Hayden's three
cards?
Answers
Answer:
Mean = 53.
Step-by-step explanation:
The median is the middle value so the 3 cards are
36, 46, x where x is to be found.
The range is 41, so:
x - 36 = 41
x = 41 + 36
x = 77.
Therefore, the mean is
(36+46+77) / 3
= 159/3
= 53.
Need help quick please
Answers
Answer:-1/6
Step-by-step explanation:
Draw a line out in the 2nd quadrant.
Your y=\(\sqrt{35}\) hypotenuse=6 use pythagorean theorem to solve for x
6² = 35 + x²
x=1
so
cosΘ = -1/6
Paul wants to center a 20-inch wide picture above the mantle on his fireplace which is 6 feet, 712 inches wide. How far in feet and inches should the edge of the picture be from the side of the fireplace?
Answers
math math math math math math math
Answers
The angle m∠JIX is 90 degrees.
How to find angles in line intersection?IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.
IG bisect CIJ. Hence,
m∠CIG ≅ m∠GIJ
Therefore,
m∠CIX = 150 degrees
Hence, let's find m∠JIX.
Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.
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The measure of angle m∠JIX is estimated to be 90⁰.
How to find the angles?You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.
IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.
Frim the given parameters,
IG⊥CIJ.
But; m∠CIG ≅ m∠GIJ
⇒ m∠CIX = 150⁰
Hence, let's find m∠JIX.
Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.
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Complete the left-hand column of the table below following the steps indicated in the right-hand column to show that "sin a sin b = 1/2[cos(a-b)-cos(a+b)]" is an identity. Use the definitions of sum and difference formulas for cosine.
Answers
The equations which completes the left-hand column of the table are;
\( \frac{1}{2} \cdot \left(cos(a - b) - cos(a + b) \right)\)
cos(a - b) - cos(a + b) = (cos(a)•cos(b) + sin(a)•sin(b)) - (cos(a)•cos(b) - sin(a)•sin(b))sin(a)•sin(b) = (1/2)•(cos(a - b) - cos(a + b))Which equations and identities complete the left-hand column of the table?The given expression on the right is written as follows;
First row;
\( \frac{1}{2} \cdot \left(cos(a - b) - cos(a + b) \right)\)
The definition of the sum and difference of cosine are;
cos(a - b) = cos(a)•cos(b) + sin(a)•sin(b)
cos(a + b) = cos(a)•cos(b) - sin(a)•sin(b)
Therefore;
Second row;
cos(a - b) - cos(a + b) = (cos(a)•cos(b) + sin(a)•sin(b)) - (cos(a)•cos(b) - sin(a)•sin(b))cos(a - b) - cos(a + b) = 2•sin(a)•sin(b)
Which gives;
\( sin(a) \cdot sin(b) = \frac{1}{2} \cdot \left(cos(a - b) - cos(a + b) \right)\)
Third row;
sin(a)•sin(b) = (1/2)•(cos(a - b) - cos(a + b))Learn more about trigonometric functions here:
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Find the product.
y4 · y6
Answers
The answer is \(y^{4+6}\) = \(y^{10}\)
4(w + 5) =——w+——
PLEASE HELP I WILL MARK AS BRAINLIEST IF CORRECT
Answers
Answer:
4(w+5) = 4w+20
Step-by-step explanation:
use distributive property and you get your answer :)
4*w = 4w
4*5=20
I hope this helps :))
Find an equation of the tangent line to the graph of
y = g(x) at x = 4 if g(4) = −3 and g'(4) = 2.
(Enter your answer as an equation in terms of y and x.)
Answers
Answer:
\( y- y_o = m(x-x_o) \)
For this case m represent the slope and is given by \(m= g'(4) = 2\) and from the other condition given we know that \( x_o = 4, y_o =-3\). And replacing we got:
\( y -(-3) = 2 (x-4)\)
And if we reorganize the terms we have:
\( y+3 = 2x -8\)
And subtracting 3 in both sides we got:
\( y = 2x -11\)
Step-by-step explanation:
For this case we have the following function y=g(x) and we want to find the tangent line to this function using the conditions: \( g(4) =-3, g'(4)=2\)
So we need a function like this one:
\( y- y_o = m(x-x_o) \)
For this case m represent the slope and is given by \(m= g'(4) = 2\) and from the other condition given we know that \( x_o = 4, y_o =-3\). And replacing we got:
\( y -(-3)=2(x-4)\)
And if we reorganize the terms we have:
\( y+3 = 2x -8\)
And subtracting 3 in both sides we got:
\( y = 2x -11\)
The area of a rectangular wall of a barn is 110 square feet. Its length is 12 feet longer than twice its width. Find the length and width of the wall of the barn.
width= =feet
Answers
The length and width of the rectangular wall of a barn given the area is 22 feet and 5 feet respectively.
What is the length and width of the wall of the barn?Area of the rectangular wall of a barn = 110 square feet
Width of the barn = w
Length of the barn= 2w + 12
Area of a rectangle = length × width
110 = (2w + 12) × w
110 = 2w² + 12w
equate to 0
2w² + 12w - 110 = 0
w² + 6w - 55 = 0
using factorization method of solving quadratic equation
w² + 11w - 5w - 55 = 0
w(w + 11) - 5(w + 11) = 0
(w - 5) (w + 11) = 0
w = 5 or w = -11
The width of the rectangular barn cannot be negative
Therefore,
Width of the barn = w
= 5 feet
Length of the barn= 2w + 12
= 2(5) + 12
= 10 + 12
= 22 feet
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Is this equation a true statement when x = 6?
-2 + 11 - 5x = 5 -6x
Answers
Answer:
False
Step-by-step explanation:
Since we already know the value of x lets plug it in and multiply it
-2+11-5(6)=5-6(6)
-2+11-30=5-36
Now lets put them together
9-30=5-36
-21 = -31
Making x=6 false
Natalie borrowed money from her parents to pay for a trip.
Natalie will pay her parents in equal amounts every week until she pays back the entire amount she borrowed.
The table below shows the amount of money Natalie still owes her parents at the end of every two weeks for the first eight weeks.
Number of Weeks Natalie Has Paid,
�
w
Amount Natalie Still Owes,
�
d
0
0
$
180
$180
2
2
$
162
$162
4
4
$
144
$144
6
6
$
126
$126
8
8
$
108
$108
Part A
How much does Natalie pay her parents each week?
$
per week
Part B
Write a function that shows the relationship between the amount Natalie still owes,
�
d, and the number of weeks she has paid,
�
w.
Answers
Natalie will pay her parents $9 each week, and the initial amount she still owed was $180.
We can see that Natalie is reducing the amount she owes by $18 every two weeks.
Therefore, the amount she owes after 2 weeks is $180 - $18 = $162, after 4 weeks is $144, after 6 weeks is $126, and after 8 weeks is $108.
This means that after n weeks, the amount she still owes is:
$180 - $18n
Since she will pay the same amount each week, let's call the weekly payment P. After one week, she will owe:
$180 - P
After two weeks, she will owe:
($180 - P) - P = $180 - 2P
After four weeks, she will owe:
($180 - 2P) - P - P = $180 - 4P
After six weeks, she will owe:
($180 - 4P) - P - P = $180 - 6P
And after eight weeks, she will owe:
($180 - 6P) - P - P = $180 - 8P
We can set up an equation using the information we have:
$180 - 8P = $108
Solving for P, we get:
P = $9
Therefore, Natalie will pay her parents $9 each week, and the initial amount she still owed was $180.
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The complete question:
Natalie borrowed money from her parents to pay for a trip. Natalie will pay her parents in equal amounts every week until she pays back the entire amount she borrowed. The table below shows the amount of money Natalie still owes her parents at the end of every two weeks for the first eight weeks. How much does Natalie pay her parents each week? What is the initial amount Natalie still owes?
Week 0 = $180
Week 2 = $162
Weeks 4 = $144
Week 6 = $126
Week 8 = $108
Help help help help math math
Answers
Answer:
Your answer is D.Divide
Step-by-step explanation:
Please mark as brainliest
Hope you have a great day!
The sum of two integers is 5. Their difference is 3. What are
the two integers?
4 and 1
B-1 and 3
C -7 and 12
-6 and 1
Answers
Answer:
x+y=5
x-y=3
x=3+y
(3+y)+y=5
2y+3=5
2y=2
y=1
x=4
The answer is 1 and 4
Step-by-step explanation:
Cam anyone answer these 4 questions?
Answers
Answer:
The first one is correct
Step-by-step explanation:
ITs all good
15 more than three times a number is equal to 75
Also please give me the step by step
Answers
Answer:
x=20
Step-by-step explanation:
15+3x=753x+15=753x+15+15=75+153x=60\(\frac{3x}{3} =\frac{60}{3}\) x=20I hope this explanation was helpful.
Step-by-step explanation:
soln,
15+3x=75
or, 3×15=75
or,3×15+15=75+15
or,3x÷3=60÷3
or,x=20
ans= 20
Write a quadratic equation that fits each set of points.
10. (0.-8), (2, 0), and (-3, -5)
Answers
The quadratic equation that fits each set of points (0.-8), (2, 0), and (-3, -5) is -3x² + 10x - 8 = 0
Quadratic equation:
Quadratic equation refers algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.
Given,
Here we have the set of points (0.-8), (2, 0), and (-3, -5).
Now, we have to find the quadratic equation for this points.
We know that the standard form of the quadratic equation is,
y = ax² + bx + c
Here we have to use each point value in order to find the value of a, b and c to find the quadratic equation of the points,
First we have to take the point (0, -8) and apply it on the formula, then we get,
-8 = a(0)² + b(0) + c
-8 = c
Now, use the point (2,0), then we get,
0 = a(2)² + b(2) + c
0 = 4a + 2b + c --------------------(1)
Finally, take the point (-3, -5), then we get the equations,
-5 = a(-3)² + b(-3) + c
-5 = 9a - 3b + c --------------------(2)
Now, apply the value of c as -8, then we get,
4a + 2b = 8 ----------------(3)
9a -3b = 3 -----------------(4)
Divide equation (4) by 3 and equation (3) by 2 on both sides then we get,
2a + b = 4
3a - b = 1
When we subtract these equation then we get the value of
a = -3
Then the value of b is
2(-3) + b = 4
b = 4 + 6
b = 10
Therefore, the quadratic equation is -3x² + 10x -8 = 0
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use the distributive property to rewrite each expression (2+g)8
Answers
Answer:
16+8g
Step-by-step explanation:
Just multiple everything by 8
Hope this helps (:
Answer:
8g+16
Step-by-step explanation:
I guess it can be kind of confusing when the number outside of the parentheses is on the right side of the equation? I don't know lol, but the same rules apply.
If it helps, rewrite it as: (2+g)8 --> 8(2+g)
Now multiply: (8*2)+(8*g)
Simplify: 16+8g or 8g+16 (however you want to write it)
Use the histogram to answer the following questions.
Frequency
The frequency of the class 90-93 is
The frequency of the class 94-97 is
This means that a total of
5.5
5
4.5
Your answers should be exact numerical values.
The frequency of the class 86-89 is
86
94
90
Duration of Dormancy (minutes)
dormancy periods were recorded.
Answers
The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.
The total number of periods is given as follows:
5 + 6 + 4 = 15.
The frequency of each class is given as follows:
86 - 89: 5/15 = 1/3.90 - 93: 6/15 = 2/5.94 - 97: 4/15.Learn more about the concept of probability at https://brainly.com/question/24756209
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Need help answering question 5
Answers
Answer:
Step-by-step explanation:
If a polynomial has one root in the form a+√b , it has a second root in the form of a_√b
Answers
Answer:
Step-by-step explanation:
a+√b
a-√b
The volume of a cylinder is 72 pie cm3. If the radius is 3cm, what is the height of the cylinder?
Answers
Answer:
A
Step-by-step explanation:
maybe
Answer:
Step-by-step explanation:
2.55cm
Todd rolled a 12-sided die marked with the numbers 1 to 12. These are his experimental probabilities.
P(odd number) = 18/48
P(greater than 8) = 16/48
P(9) = 12/48
1. Which experimental probability matches the theoretical probability exactly?
2. Which experimental probability is farthest from the theoretical probability?
Answers
The experimental probability farthest from the theoretical probability is P(greater than 8). The theoretical probability of rolling a 9 is 1/12 because there is one 9 out of twelve total possible outcomes.
Experimental probability refers to the probability of an event based on data acquired from repeated trials or experiments.
Theoretical probability is the probability of an event occurring based on logical reasoning or prior knowledge. In Todd’s case, he rolled a 12-sided die marked with the numbers 1 to 12.
The probabilities are as follows:P(odd number) = 18/48P(greater than 8) = 16/48P(9) = 12/48To answer the questions:1. Which experimental probability matches the theoretical probability exactly?The theoretical probability of rolling an odd number is 6/12 or 1/2 because there are six odd numbers out of the twelve total possible outcomes.
The experimental probability Todd obtained was 18/48. Simplifying 18/48 to lowest terms gives 3/8, which is equal to 1/2, the theoretical probability.
Therefore, the experimental probability that matches the theoretical probability exactly is P(odd number).2. Which experimental probability is farthest from the theoretical probability? The theoretical probability of rolling a number greater than 8 is 3/12 or 1/4 because there are three numbers greater than 8 out of twelve total possible outcomes.
The experimental probability Todd obtained was 16/48. Simplifying 16/48 to lowest terms gives 1/3, which is not equal to 1/4, the theoretical probability.
The experimental probability Todd obtained was 12/48. Simplifying 12/48 to lowest terms gives 1/4, which is not equal to 1/12, the theoretical probability.
However, the difference between the experimental probability and the theoretical probability for P(9) is smaller than that of P(greater than 8). Therefore, P(greater than 8) is the experimental probability that is farthest from the theoretical probability.
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Question
Consider the following two loans for Po = $15,000.
• Loan A: 5 year loan, annual interest rate of 8%, monthly repayments of $304.15.
Loan B: 3 year loan, annual interest rate of 11%, monthly repayments of $491.08.
Calculate the absolute difference between the total interest paid on both loans. Give your answer to the nearest ten dollars.
Do not include the dollar sign in your answer
Answers
Answer:
570
Step-by-step explanation:
570
The absolute difference that is between the loans paid as 570
How to solve for the absolute differenceWe have the following details:
Po = $15000
loan a 5 year loan, interest = 8 percent and repayments = 304.15 dollars
Loan b
3 year loan, interest = 11 percent repayments = $491.08
Total number of repayments = 5 x 12 = 60
Total repayments = 304.15 dollars x 60
= $18249
The total interest that is paid for A would be
$18249 - $15000
= $3249
For the second loan
Total number of repayments = 3 x 12 months = 36
Total repayment = 36 x 491.08 = $17678.88
The total interest for the loan B would be: $17678.88 - $15,000
= $2678.88
Then the absolute difference between the paid loan would be
$3249 - $2678.88 = 570.12
Hence we would have the absolute difference that is between the loans paid as 570.
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HELP ME RIGHT NOW ISTG
Answers
choose the equation of the graphed function
Answers
Answer:
Its option j.
Step-by-step explanation:
The graph is the graph of y = |x| moved 1 unit to the right,
Can u solve this one attached below
Answers
Answer:
\(\angle 6, \angle 4\)
Step-by-step explanation:
\(\angle 1\ and\ \angle 2\ are\ remote\ interior\ angles\ of\ \angle 6\ as\ they\ are\ opposite\ to\\ its\ linear\ pair\ \angle 3.\\\angle 2\ and\ \angle 3\ are\ remote\ interior\ angles\ of\ \angle 4\ as\ they\ are\ opposite\ to\\ its\ linear\ pair\ \angle 1.\)
All the applicants chose at least one of the three countries Egypt, Ghana and South Africa. A total of 2417 applicants chose Egypt as their favorite destination; 3500 applicants chose Ghana or South Africa as their favored destination. Of those that chose Egypt, 1233 also chose Ghana. 1031 applicants chose Ghana and South Africa, while 2014 chose Egypt or South Africa but not Ghana. Only 565 applicants indicated their preference for Egypt and Ghana but not South Africa. If 1803 did not indicate Egypt as their preferred destination, obtain the following:
The total number of applicants assessed. (5 marks)
The number of applicants who chose each of the three destinations only. (3 marks)
The most popular of the three destinations. (2 marks)
Answers
Answer:
hard quiz
Step-by-step explanation:
Calculate the volume of a book with the following dimensions
Answers
A book is a rectangular prism.
The volume of a rectangular prism is:
\(V=\text{Length}\cdot\text{Width}\cdot\text{Height}\)Then, the volume of the book is: 2303.62 cubic centimetres
\(\begin{gathered} V=28.3\operatorname{cm}\cdot22\operatorname{cm}\cdot3.7\operatorname{cm} \\ V=2303.62\operatorname{cm}^3 \end{gathered}\)Rounded:
\(V=2303.6\operatorname{cm}^3\)plsss hurry Solve the application problem. Find the perimeter of a pantry shelf that measures 3 yards by 5/8 yard.
A. 1 7/8 yd
B. 7 1/4 yd^2
C. 1 7/8 yd^2
D. 7 1/4 yd