Answer:
A small bar of gold measures 40 mm by 25 mm by 2 mm. One cubic millimeter of gold weighs about 0.0005 ounce. Find the volume in cubic millimeters and the weight in ounces of this small bar of gold.
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°
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 :)
sora
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[tex](secx - 1 \secx + 1) [/tex]
Answer:
[tex] \frac{ \frac{1}{ \cos(x) } - 1 }{1 + \frac{1}{ \cos(x) } } = \frac{ \frac{1 - \cos(x) }{ \cos(x) } }{ \frac{1 + \cos(x) }{ \cos(x) }} = (1 - \cos(x)) \times (1 + \cos(x)) = 1 - { \cos(x) }^{2} = { \sin(x) }^{2} [/tex]
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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simplify the expression cosxcotx+sinx
Answer:
I might be wrong but I think it is c²o²stx²+nsxi
9(6k + 3r)=
A) 15k+12r
B) 54k+27r
C) 6(3k+0r
D) 3(18k+9r
Answer:
B
Step-by-step explanation:
9*6k+9*3r
54k+27r so the answer is B
Helpppp please prettty please this is timed. NO LINKS OR I WILL REPORT YOU. I WILL MARK brainliest. PLEASE I WILL GIVE 30 POINTS please give explanation. The question is asking “Vocabulary How is a rhombus related to a parrallelogram? How does finding the area of a rhombus compare to finding area of parallelogram? Select all the statements that are true.
A: A rhombus is a parallelogram with equal sides
B:The area of a rhombus is found using the formula A=B*H.
C:The area of a rhombus is less than the area of a parallelogram with equal dimensions.
D: A parrelogram is always a rhombus
E: The area is found the same way for both a rhombus and a parallelogram
Answer:
A, B, and E
Step-by-step explanation:
Those are all true the ones I picked.
Solve -5 1/2 + 6 3/4 + (-4 1/4) =
Answer:
the answer is -3
Step-by-step explanation:
Simplify: [3(2a)3/2]2
Answer:
the correct answer would be the first one, 72a^3
Answer:
the first one
Step-by-step explanation:
Which statement is true about the graph y = - 3x + 2
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]y = -3x + 2[/tex]
Required
The true statement
The question is incomplete, as no option is given.
I will solve generally, as follows;
A linear equation is represented as:
[tex]y =mx+b[/tex]
Where
[tex]m \to[/tex] slope
[tex]b \to[/tex] y intercept
So, by comparison:
[tex]m = -3[/tex]
[tex]b = 2[/tex]
Hence, the graph has a slope of -3 (a negative slope)
And the y intercept of 2
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:
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
Determine the independent and dependent variable from the following equations:
1. y = 3x - 5
2. 9 = -16s + 6
3. p= 7+39
4. m = 2 - 4n
Answer:123 because 1 is before 2
Answer:
I don't know what I have already asked for record
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.
Write the equation for a parabola with a focus at (7, 2) and a directrix at y = -2.
y =
Answer:
(x-7) squared over 8
Step-by-step explanation:
[tex]y=\frac{(x-7)^{2} }{8}[/tex]
Pls help me,
Answer choices are :
A. 7
B. 30
C. 28
D. 49
find the number of terms in the series for the series given below.
- 9 (1/2x - 3) somone. Help me plz
Convert:
2 tons 15,000 ounces =
ounces
-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
Solve the equation
2x - 1/ 4
+ x/3 = 2
Answer:
= 2 7 /2 8
Step-by-step explanation:
Answer:
x = 1 1/8
Step-by-step explanation:
2x - 1/4 + x/3 = 2
2x + x/3 = 2 1/4 (added 1/4 to both sides)
6x = 6.75 (multiplied both sides by 3)
x = 1 1/8, or 1.125
:-)
Find the midrange for the group of data items.
2, 2, 5, 5, 8, 8, 10
Answer:
5
Step-by-step explanation:
Answer:5
Start striking off the numbers one from the left and then from the right continuously until you're left with a number in the middle
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
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
It takes Gloria 3 hours to rake the leaves in her yard. If Gloria rakes the leaves 4 times each
fall for 5 years, how many hours will she rake leaves over the five year period?
A 60 hours
CB 75 hours
C 120 hours
D 160 hours
Just wanted to make sure I got the right answer
Answer:
D
Step-by-step explanation:
Which form allows you to identify the y-intercept?
A.) vertex
B.factored
C.Standard
Elizabeth has a loyalty card good for a 20% discount at her local hardware store.
What would her total In dollars and cents be, after the discount and before tax, if the
total cost of all the items she wants to buy is $19.20? Round to the nearest cent.
Answer:15.36
Step-by-step explanation:
Took the test
Help it’s important!!
Answer:
The answer is going to be letter B.
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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