Answer:
it became 1.9 times larger
Step-by-step explanation:
What steps would I take to solve this question?
9514 1404 393
Answer:
arc FG = 115°
arc EG = 165°
Step-by-step explanation:
The first step is to understand how these arcs are arranged on a circle. The next step is to realize the whole is the sum of the parts. Arcs have the same measure as their central angle. A circle totals 360°.
arc EF + arc FG = arc EFG . . . . parts of an arc add to give the whole arc
80° + arc FG = 195°
arc FG = 115° . . . . . . . . . subtract 80°
__
Similarly, parts of a circle add to give the whole circle.
arc EFG + arc EG = 360°
195° + arc EG = 360°
arc EG = 165° . . . . . . . . . subtract 195°
James used 30% of his savings to buy video games. If he had $60 dollars saved. How much does he have left
Answer: $42 left
Step-by-step explanation:
30% of 60 = 18 60-18 leaves $42
Just wanted to make sure I got the right answer
Answer:
D
Step-by-step explanation:
- 9 (1/2x - 3) somone. Help me plz
Identify the functions that exhibit a removable discontinuity.
Answer:
h(x) and k(x)
Step-by-step explanation:
The functions that exhibit a removable discontinuity are function i(x) and function k(x)
What is a quadratic equation?"An equation of the form ax² + bx + c = 0 is a quadratic equation."
What is a function?"It defines a relation between input and output values."
What is discontinuous function?"This function has a discontinuity at one or more values mainly because of the denominator of a function is being zero at that."
What is removable discontinuity?"If adjusting the function's value at the point of discontinuity will render the function continuous, then such discontinuity is called removable discontinuity."
What is non-removable discontinuity?"If adjusting the function's value at the point of discontinuity will not render the function continuous, then such discontinuity is called non-removable discontinuity."
For given question,
1) Consider a function [tex]f(x)=\frac{x^{2} +4x-21}{x^{2} -13x+42}[/tex]
If we factorize the quadratic equation at numerator and denominator then the given function would be,
[tex]f(x)=\frac{(x-3)(x+7)}{(x-7)(x-6)}[/tex]
We can observe that the function f(x) is discontinuous at x = 7 and x= 6.
So, the function f(x) has non-removable discontinuity.
2) Consider a function [tex]g(x)=\frac{2x^{2} -5x+12}{2x+3}[/tex]
We can observe that the function g(x) is discontinuous at x -3/2.
We cannot factorize the quadratic equation at numerator.
So, the function g(x) has non-removable discontinuity.
3) Consider a function [tex]h(x)=\frac{x-3}{x^{2} -9}[/tex]
If we factorize the quadratic equation at denominator then the given function h(x) would be,
[tex]\Rightarrow h(x)=\frac{(x-3)}{(x-3)(x+3)}\\\\\Rightarrow h(x)=\frac{1}{x+3}[/tex]
We can observe that the function h(x) is discontinuous at x = -3
So, the function h(x) has non-removable discontinuity.
4) Consider a function [tex]i(x)=\frac{x^{2} -8x+15}{x-5}[/tex]
If we factorize the quadratic equation at numerator then the given function would be,
[tex]\Rightarrow i(x)=\frac{(x-5)(x-3)}{x-5}\\\\ \Rightarrow i(x)=x-3[/tex]
We can observe that the function i(x) is a continuous function.
So, the function i(x) has removable discontinuity.
5) Consider a function [tex]j(x)=\frac{x+4}{-2x+8}[/tex]
We can observe that the function j(x) is discontinuous at x = 4
And the function j(x) has non-removable discontinuity.
6) Consider a function [tex]k(x)=\frac{2x^{2} +x-15}{2x-5}[/tex]
If we factorize the quadratic equation at numerator then the given function would be,
[tex]\Rightarrow k(x)=\frac{(x+3)(2x-5)}{(2x-5)}\\\\ \Rightarrow k(x)=x+3x^{2}[/tex]
We can observe that the function k(x) is a continuous function.
So, the function k(x) has removable discontinuity.
Therefore, the functions that exhibit a removable discontinuity are function i(x) and function k(x)
Learn more about the removable discontinuity here:
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cos2a=cos2a-sin2a for all values of a. true or false
[tex] \huge {\star }\: Answer[/tex]
The above equation is applicable for each and every value of a,
So, Correct option is A. True
_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
Suppose that a committee is studying whether or not there is a waste of time in our judicial system. It is interested o the mean amount of time individuals waste at the courthouse waiting to be called for jury duty. The committee randomly surveyed 81 people who recently served as jurors. The sample mean wait time was 8 hours with a sample standard deviation of 4 hours.
i. ¯x=
ii. sx=
iii. n=
iv. n−1=
Answer:
i. ¯x= 8
ii. sx= 4
iii. n= 81
iv. n−1= 80
Step-by-step explanation:
i. ¯x=
This is the sample mean, which is 8 hours.
ii. sx=
Standard deviation of the sample, which is of 4 hours.
iii. n=
Size of the sample, which is 81.
iv. n−1=
Degrees of freedom(sample size subtracted by 1), which is 81 - 1 = 80
Consider the two rules for numerical patterns given below.
Pattern A: Start at 0, add 4
Pattern B: Start with O, add 12
Which statement describes the relationship between the corresponding terms of
the two patterns?
A Each term of Pattern B is three times the corresponding term of Pattern A.
B Each term of Pattern A is three times the corresponding term of Pattern B.
с Each term of Pattern A is 12 more than the corresponding term of Pattern B.
D Each term of Pattern B is 8 more than the corresponding term of Pattern A.
Answer:
The answer is A there you go the other person tricked you he just said easy so he can have enough words to get the points next time do not be fooled :)
i need an answer to this question
Mika is a local farmer who is interested in how often residents in her town go to a farmer's market each month. She surveys 124 families and finds that, on average, those families visit a farmers' market 4.2 times per month with a sample standard deviation of 1.3. If Mika wants to be 99% confident (z=2.58) using this sample, what should her margin of error be and what does it mean?
Answer:
The margin of error is of 0.3012, and it means that we should be 99% confident that the population mean would be within 0.3012 of the sample mean.
Step-by-step explanation:
Margin of error
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
Standard deviation of 1.3
This means that [tex]\sigma = 1.3[/tex]
She surveys 124 families
This means that [tex]n = 124[/tex]
Margin of error and meaning:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]M = 2.58\frac{1.3}{\sqrt{124}}[/tex]
[tex]M = 0.3012[/tex]
The margin of error is of 0.3012, and it means that we should be 99% confident that the population mean would be within 0.3012 of the sample mean.
Divide. Write your answer in the following form:
F(x)= Q + R/D
PLEASE HELP!!!!!!!
Answer:
are those synthetic division?
The gas consumption of a vehicle varles directly as the distance traveled. If a
certain vehicle uses 15 gallons to travel 263 mlies, how many miles would it travel
on 9 gallions of gas?
Answer:
It would travel 157,8 miles with 9 gallons of gas.
Step-by-step explanation:
15 gallons / 263 miles
= 3 gallons / 52,6 miles
= 9 gallons / 157,8 miles.
Construct a histogram for the following data set: 11, 17, 13, 2, 22, 18, 16, 14, 16, 21, 17, 9, 9, 7, 3
HELP ME PLEASEEEEEEEEEEE
Answer:
The correct answer is 6
Step-by-step explanation:
42 = 7r
R = 42/7 = 6
Answer:
r=6
Step-by-step explanation:
Divide both sides of the equation by the same term
simplify
HELP ASAP BOX AND WHISKEE PLOTS! WILL MARK BRAINLIEST!
Answer:
True
Step-by-step explanation:
What is the perimeter of this shape? Use numbers only.
Answer:
30 m
Step-by-step explanation:
You simply add the lengths of all the sides. 3 m is not needed for this.
Answer:
10+5+4+6+5 = 30m
Step-by-step explanation:
Solve x^2−2x=5 by completing the square. Round your answer to the nearest hundredth.
Answer: i dont see a square
Step-by-step explanation:
What is the area of this trapezoid?
Answer:
are of trapezoid =1/2×height(a+b)
Step-by-step explanation:
A=1/2×8(10+20)
=4×30
=120cm*
Solve -5 1/2 + 6 3/4 + (-4 1/4) =
Answer:
the answer is -3
Step-by-step explanation:
What is the value of B for the following triangular prism? 5.6 cm 2 52.5 cm 2 5.25 cm 2 56 cm 2
Answer:
5.25 cm
per a tr
iangle
solve the following equation 1÷x=2
Answer:
Your answer would be x = 1/2
Step-by-step explanation:
1/x = 2
You would divide x on both sides...then they would cancel each other out.
But now you're left with...
1 = x•2
So, re-order the terms so constants are on the left
1 = 2x
Divide 2 on both sides...
Now you're left with
1/2=x or more practically it would be x = 1/2
Hope this helps!
In a pile of coins, there are 7 more quarters than nickels. If there is a
total of $2.65 in coins, how many total coins are there? How many
of each type of coin is in the pile? Guess, check, and revise to solve
Answer:
Step-by-step explanation:
Let x = to the number of nickels.
Let x + 7 = the number of quarters.
So multiply x by .05 to find out how much the nickles are worth and
multiply x + 7 by .25 to find out how much the quarters are worth.
Then add them together to get the total and solve.
.05x + .25(x + 7) = 2.65
.05x + .25x + 1.75 = 2.65
.30x + 1.75 = 2.65
Subtract 1.75 from each side of the equation.
.30x = .90
x = 3
x + 7 = 10
So 10 is the number of quarters.
Answer:
Step-by-step explanation:
we only have to have 7 more quarters than nickels.. so put one nickel and 8 quarters
that's $2.05
now make up the rest to make 2.65
add 6 dimes and you've got it :)
1 nickel
6 dimes
8 quarters
Please answer the question CORRECTLY with a logical explanation.
Answer:
point B
Step-by-step explanation:
1/5 as a decimal is 0.2 so 3/5 as a decimal is 0.6 and 0.6 is between 0.5 and 0.75 on the number line.
Henry wants to get a job this summer. He can either mow lawns or work in the local library. What is the opportunity cost if he decides to mow lawns? A. the librarian employing another person B. the chance to earn by working in a library C. the chance to earn by mowing lawns
Answer:
b
Step-by-step explanation:
plato
If Henry decides to mow lawns then the opportunity cost would be - the chance to earn by working in a library
The correct answer is an option (B)
What is opportunity cost?"It is the value of what you lose when choosing between two or more options.""It is the value of the next best option."We know that,
the opportunity cost is the cost of the alternative that we waive when we make a certain decision, including the benefits that we could have obtained from having chosen the alternative option.It is referred to as "the value of the best option not selected".The opportunity cost is the values that are lost while choosing one alternative in place of others.This value may or may not be measured in money.It is the value of what you have to give up in order to choose something else.Henry wants to get a job this summer.
He can either mow lawns or work in the local library.
if he decides to mow lawns, he would lost the chance to earn by working in a library.
This means, the opportunity cost is - the chance to earn by working in a library
Therefore, if Henry decides to mow lawns then the opportunity cost would be - the chance to earn by working in a library
The correct answer is an option (B)
Learn more about the opportunity cost here:
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Theo wants to use a cookie recipe
that makes 36 cookies, but he wants
to increase the number of cookies to
54. If the recipe calls for 2 cups
of sugar, how much sugar should
he use?
Answer:
3 cups of sugar
Step-by-step explanation:
you increase it as per ratio,in this case ratio is 1.5
find the number of terms in the series for the series given below.
to spend to much traveling and country the day she arrived the exchange rate was 1.4 country a dollars Per country B dollars if she exchange 500 country B dollars when she arrived how many country eight dollars she receive
Answer:
She receives 700 country A dollars.
Step-by-step explanation:
This question is solved by proportions, using a rule of three.
1.4 country a dollars Per country B dollar
She exchanges 500 country B dollars, so:
1.4 country A dollars - 1 country B dollar
x country A dollars - 500 country B dollars
Applying cross multiplication:
[tex]x = 1.4*500 = 700[/tex]
She receives 700 country A dollars.
-4(x+3)=8 show work please
Answer:
x = -5
Step-by-step explanation:
-4(x+3)=8
(-4)(x)+(-4)(3)=8 (distribute)
-4x - 12 = 8
-4x - 12 + 12 = 8 + 12
-4x = 20
-4x/-4 = 20/-4 =
x = -5
-Elaina <3
plzzzzzzzzz help
20.41 rounded to the nearest hundredth
Answer:
20.41
20=nearest whole number
20.4=nearest tenth
20.41=nearest hundredth
hope this helps
have a good day :)
Step-by-step explanation:
Answer: 20.40
Step-by-step explanation:
20.41
| (Hundreth place)
=20.40 because 1 is smaller than 5 thus you round down.
two girls want to share 1 1/2 granola bars so that each one gets the same amount. how much will each girl get.
Answer:
3/4
Step-by-step explanation:
Each one of them will get 3/4 or 0.75
Answer:
3/4 or 0.75
Step-by-step explanation:
1 1/2 divided by 2 is 3/4 or 0.75
Check:
3/4+3/4=6/4=1 1/2
Hope this helps! Have a nice day :)