Given the expression:
\(\frac{j^3k^{}}{h^0}\)Where,
h = 8
j = -1
k = -12
Let's plug in the values to the expression:
\(\frac{j^3k^{}}{h^0}\)\(\frac{(-1)^3(-12)^{}}{8^0}\)Recall: Any number that is raised to the power of zero is always equal to 1.
We get,
\(\frac{(-1)^3(-12)^{}}{8^0}\text{ = }\frac{(-1)(-12)}{1}\text{ = (-1)(-12)}\)Recall: When multiplying integers of the same sign, the product is always a positive integer.
We get,
\((-1)(-12)\text{ = 12}\)Therefore, the answer is 12, letter A.
g(x) + (-g(x)) =a. 2g(x)b. -2g(x)c. 0
Let's think of g(x) as a variable, it could be called for example y, then by replacing y for g(x), then we get:
y + (-y)
Since adding -y is equivalent to subtracting y, then we can rewrite the expression like this:
y-y
which equals 0, y - y = 0
Then, the correct answer is option c
What is the reduced price of a $60 raincoat after a discount of 10%, 10%, and 30%?
Answer:
$34.02
Step-by-step explanation:
10% of 60 is 6, 60-6= $54
10% of 54 is 5.4, 50-5.4= $48.6
30% of 48.6 is 14.58, 48.6-14.58= $34.02
Amanda simplifies the following expression and shows her work below. What mistake did Amanda make that resulted in an incorrect answer?
34−8÷2 + 3∙4
34−4 + 3∙4
37 – 7 ∙ 4
34−28
6
a
She added before multiplying
b
She multiplied before dividing
c
She subtracted before adding
d
She added before dividing
Answer:
A, She added before multiplying.
Step-by-step explanation:
First, start off by using GEMDAS.
Grouping
Exponents
Multiply
Divide
Add
Subtract
You work from left to right - so you obviously divide first, which Amanda did successfully. Then, you multiply, which is exactly where Amanda went wrong. She was supposed to multiply before adding the 3 with 4.
Not sure if this made sense,
Find the LCM of A= 3^2 x 5^4 x 7 and B= 3^4 x 5^3 x 7 x11
The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.
Given are two numbers which are showed in the prime factorized form.
A = 3² × 5⁴ × 7
B = 3⁴ × 5³ × 7 × 11
Prime factorization is the factorization of a number in terms of prime numbers.
In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.
A = 3² × 5³ × 5 × 7
B = 3² × 3² × 5³ × 7 × 11
Bring down the primes in each column.
LCM = 3² × 3² × 5³ × 5 × 7 × 11
= 3898125
Hence the LCM is 3898125.
Learn more about LCM here :
https://brainly.com/question/6756370
#SPJ1
BIKING Talula got a new bicycle lock that has a four-number combination. Each number in the combination is from 0 to 9.
a. How many combinations are possible if there are no restrictions on the number of times Talula can use each number?
b. How many combinations are possible if Talula can use each number only once? Explain.
x2+10x+=()2
step by step
The value of the expression x² + 10x, when x = 2 is 24.
In the expression x² + 10x, x represents a variable, which is a placeholder for a value that can change. We are given that x = 2, which means we substitute 2 for x in the expression:
x² + 10x = 2² + 10(2)
Here, 2² means 2 raised to the power of 2, which is 2 multiplied by itself: 2² = 2 x 2 = 4.
10(2) means 10 multiplied by 2, which is 20.
So we can substitute these values in the expression:
x² + 10x = 2² + 10(2)
= 4 + 20
= 24
Therefore, when x is equal to 2, the value of the expression x² + 10x is 24.
To learn more about the expression;
brainly.com/question/24242989
#SPJ1
The complete question:
Evaluate the expression x² + 10x, when x = 2.
how many integers between 2023 and 5757 have 12, 20, and 28 as factors
Answer:
9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.
Step-by-step explanation:
An integer that has 12, 20, and 28 as factors must be divisible by the least common multiple (LCM) of these numbers. The LCM of 12, 20, and 28 is 420. So we need to find the number of integers between 2023 and 5757 that are divisible by 420.
The first integer greater than or equal to 2023 that is divisible by 420 is 5 * 420 = 2100. The last integer less than or equal to 5757 that is divisible by 420 is 13 * 420 = 5460. So the integers between 2023 and 5757 that are divisible by 420 are 2100, 2520, ..., 5460. This is an arithmetic sequence with a common difference of 420.
The number of terms in this sequence can be found using the formula for the nth term of an arithmetic sequence: an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, d is the common difference, and n is the number of terms. Substituting the values for this sequence, we get:
5460 = 2100 + (n - 1)420 3360 = (n - 1)420 n - 1 = 8 n = 9
So there are 9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.
X divided by 6/7 = 3 and 2/5
The correct value of x is 29.14 or x divided by 6/7 = 3 and 2/5 is 29.14.
Here:
X divided by 6/7 = 3 and 2/5.
x ÷ 6/7 = 3 and 2/5,
To convert into fraction.
x/1 ÷ 6/7, reciprocal of 6/7 is 7/6.
x/1 × 7/6 = 7 x/6,
3 and 2/5 = 17/5.
(7 x/6) = 17/5
x = (6 × 17)/7 × 5
x = 29.19
Therefore X divided by 6/7 = 3 and 2/5 or the value of x is 29.19.
Learn more about value of x here:
https://brainly.com/question/15143048
#SPJ6
A direct mail appeal for contributions from a university’s alumni and supporters is considered to be too costly if less than 28%
28
%
of the alumni and supporters provide monetary contributions. To determine if a direct mail appeal is cost effective, the fundraising director sends the direct mail brochures to a simple random sample of 165
165
people on the alumni and supporters mailing lists. They receive monetary contributions from 36
36
people. Does this evidence demonstrate that the direct mail campaign is not cost effective? Use a 0.05
0.05
level of significance.
Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.
The test statistic is given as follows:
z = -1.77.
As the test statistic is less than the critical value for the left-tailed test, this evidence demonstrates that the direct mail campaign is not cost effective.
How to obtain the test statistic?
The equation for the test statistic is given as follows:
\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)
In which:
\(\overline{p}\) is the sample proportion.p is the proportion tested at the null hypothesis.n is the sample size.The parameters for this problem are given as follows:
\(p = 0.28, n = 165, \overline{p} = 0.2182\)
The critical value for a left tailed test with a significance value of 0.05 is given as follows:
z = -1.645.
The test statistic is then given as follows:
\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)
\(z = \frac{0.2182 - 0.28}{\sqrt{\frac{0.28(0.72))}{165}}}\)
z = -1.77.
More can be learned about the z-distribution at https://brainly.com/question/25890103
#SPJ1
7. What do you know about the hypotenuse of triangle XYZ?
Answer:
Step-by-step explanation:
it is the diameter AB.
An artist's canvas has sides measuring 3x + 5 and 2x + 1 inches.
What is the area of the canvas? Show all work.
The artist laid the canvas flat on the floor and poured some paint in the center. The paint flows at a rate of r(t) = 2t where t represents time in minutes and r represents how far the paint is spreading on the canvas. The area of the paint can be expressed as A[r(t)]= rur?. What is the area of the circle created by the paint?
If the artist wants the circle to be at least 300 in?, will it be that large in 5 minutes? Support your answer with your work.
The area of the circle created by the paint is given by the expression 4πt².
The area of the circle is 100π, which is approximately 314.16 in².
The circle will be at least 300 in² in 5 minutes. Yes.
To find the area of the canvas, we multiply the lengths of its sides:
Area = (3x + 5) × (2x + 1)
Expanding the expression:
Area = 6x² + 3x + 10x + 5
Combining like terms:
Area = 6x² + 13x + 5
The area of the canvas is given by the expression 6x² + 13x + 5.
Now, let's find the area of the circle created by the paint.
The area of a circle is given by the formula A = πr², where r represents the radius.
The radius is given by the spreading of paint, which is r(t) = 2t.
Substituting the value of r(t) into the formula, we have:
A[r(t)] = π(2t)²
Simplifying:
A[r(t)] = π(4t²)
A[r(t)] = 4πt²
Now, let's determine if the area of the circle will be at least 300 in² in 5 minutes.
Substitute t = 5 into the area formula:
A[r(5)] = 4π(5)²
A[r(5)] = 4π(25)
A[r(5)] = 100π
Since 314.16 in² is larger than 300 in², the circle created by the paint will be larger than 300 in² in 5 minutes.
For similar questions on area of the circle
https://brainly.com/question/12269818
#SPJ8
Which inequality is shown in the graph?
Answer:
The answer is "A" i think not 100% sure
tell me if wrong
F
G
H
J
If the diameter of a circle is 16 cm and the
intercepted arc length is 6m, what is the
measure of the central angle in radians?
3
8
3
7T
3
T
3²7
The measure of the central angle is 0.75 radians
How to solve an equation?An equation is an expression that can be used to show the relationship between two or more numbers and variables using mathematical operators.
The area of a figure is the amount of space it occupies in its two dimensional state.
The length of an arc with an angle of Ф is given by:
Length of arc = (Ф/360) * (π * diameter)
The diameter is 16 cm and intercepted arc length is 6 cm, hence:
Length of arc = (Ф/360) * (π * diameter)
6 = (Ф/360) * (π * 16)
Ф = 42.97°
Ф = 42.97° * π/180 = 0.75 radian
The measure of the central angle is 0.75 radians
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Using a breakeven analysis, determine how long it would take for the following options in auto insurance deductibles / premiums to break even.
Option 1: $500 deductible comes with a $775 annual premium.
Option 2: $1,000 deductible comes with a $650 annual premium.
How many years without a claim would it take for the two options to break even?
Answer: It would take 4 years without a claim for Option 2 to break even with Option 1. After 4 years, the savings from the lower premium on Option 2 would offset the higher deductible, resulting in lower total cost.
Step-by-step explanation: To calculate the break-even point, we need to determine the point at which the savings from the lower premium on Option 2 offset the higher deductible.
Option 1:
Annual Premium = $775
Deductible = $500
Option 2:
Annual Premium = $650
Deductible = $1000
Let x be the number of years without a claim.
For Option 1, the total cost over x years would be:
Total Cost = $775x + $500
For Option 2, the total cost over x years would be:
Total Cost = $650x + $1000
To find when the two options break even, we need to set these two equations equal to each other and solve for x:
775x + 500 = 650x + 1000
125x = 500
x = 4
Therefore, it would take 4 years without a claim for Option 2 to break even with Option 1. After 4 years, the savings from the lower premium on Option 2 would offset the higher deductible, resulting in lower total cost.
Which ordered pair is a solution of the equation shown? A.-3/4,- 1/2 B. 0,3/4 C.4/3, 1/2 D. 4, 3/2
pls hurry = 50 point
Answer:
the answer is b, c, d, a, respectively
SIX LESS THAN TWICE A NUMBER, X, IS 38 WHAT IS THE VALUE OF X
Answer:
17
Step-by-step explanation:
first write the equation:
twice a number x is 2x
six less is -6
so equation is 2x - 6 = 38
solve for x:
2x = 34
x = 17
Answer:16
Step-by-step explanation:
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Isabella sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
105 visitors purchased no costume.
41 visitors purchased exactly one costume.
8 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase one or more costumes as a decimal to the nearest hundredth.
The probability that the next person will purchase one or more costumes can be found by dividing the number of visitors who purchased one or more costumes by the total number of visitors.
The total number of visitors is 105 + 41 + 8 = 154.
The number of visitors who purchased one or more costumes is 41 + 8 = 49.
So the probability that the next person will purchase one or more costumes is 49/154, which is approximately 0.32 to the nearest hundredth.
2. Two lines intersect at E. Find the value of x
Helpppp I will give Brainly
Answer:
38
Step-by-step explanation:
Please help. 8th grade math homework
Completing the table using the rounded values showing the relative frequencies is as follows:
Column Relative Frequency Table
Men Women Total
January - June 25% 25% 25%
July - December 75% 75% 75%
Total 100% 100% 100%
What is the relative frequency?Relative frequency shows the quotient between the number of events and the total number of possible events occurring.
The quotient of relative frequency is expressed over 100 to show the result in percentage terms.
Frequency Table
Men Women Total
January - June 21 19 40
July - December 62 58 120
Total 83 77 160
Column Relative Frequency Table
Men Women Total
January - June 25% (21/83) 25% (19/77) 25% (40/160 x 100)
July - December 75% (62/83) 75% (58/77) 75% (120/160 x 100)
Total 100% 100% 100% (160/160 x 100)
Learn more about relative frequencies at https://brainly.com/question/26177128.
#SPJ1
749/d * d/749 = 1
d=?
Answer:
D=1
Step-by-step explanation:
1. Combine multiplied terms into a single fraction
2. Cancel terms that are in both numerator and denominator
3. Divide by 1
Answer:
I honestly don't know but I think its all real numbers but not zero
Step-by-step explanation:
Help me out please please
Answer:
490000
Step-by-step explanation:
Substituting \(x=40\),
\(I=-425(40)^2 + 45500(40) - 650000=490000\)
center =
3. A diameter of a circle has endpoints P(-7,-4) and Q (3,2).
a. Find the center of the circle (hint use midpoint formula)
b. Find the radius. If your answer is not and integer, express in radical form. (hint use
distance formula)
c. Write an equation for the circle.
17
radius=
equation of the circle:
work:
< 2/3
I
>
a. The center of the circle is (-2, -1).
b. The radius of the circle is √136.
c. The equation of the circle is (x + 2)^2 + (y + 1)^2 = 136.
a. To find the center of the circle, we can use the midpoint formula, which states that the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is given by:
Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
In this case, the endpoints of the diameter are P(-7, -4) and Q(3, 2).Applying the midpoint formula:
Midpoint = ((-7 + 3)/2, (-4 + 2)/2)
= (-4/2, -2/2)
= (-2, -1)
Therefore, the center of the circle is at the coordinates (-2, -1).
b. To find the radius of the circle, we can use the distance formula, which calculates the distance between two points (x1, y1) and (x2, y2). The radius of the circle is half the length of the diameter, which is the distance between points P and Q.
Distance = √\([(x2 - x1)^2 + (y2 - y1)^2]\)
Using the distance formula:
Distance = √[(3 - (-7))^2 + (2 - (-4))^2]
= √\([(3 + 7)^2 + (2 + 4)^2]\)
= √\([10^2 + 6^2\)]
= √[100 + 36]
= √136
Therefore, the radius of the circle is √136.
c. The equation for a circle with center (h, k) and radius r is given by:
\((x - h)^2 + (y - k)^2 = r^2\)
In this case, the center of the circle is (-2, -1), and the radius is √136. Substituting these values into the equation:
\((x - (-2))^2 + (y - (-1))^2\) = (√\(136)^2\)
\((x + 2)^2 + (y + 1)^2 = 136\)
Therefore, the equation of the circle is (x + 2)^2 + (y + 1)^2 = 136.
For more such questions on center visit:
https://brainly.com/question/30396931
#SPJ8
Corentine Company had $157,000 of accounts payable on September 30 and $135,000 on October 31. Total purchases on credit during October were $286,000. Determine how much cash was paid on accounts payable during October.
To determine how much cash was paid on accounts payable during October, we need to calculate the change in accounts payable from September 30 to October 31.
Change in accounts payable = Accounts payable on October 31 - Accounts payable on September 30
Change in accounts payable = $135,000 - $157,000
Change in accounts payable = -$22,000
The negative sign indicates a decrease in accounts payable, meaning that cash was paid on accounts payable during October.
Therefore, the amount of cash paid on accounts payable during October is $22,000.
The cash paid on accounts payable for Corentine Company during October was $308,000.
Explanation:To determine how much cash was paid on accounts payable during October, we need to calculate the change in the accounts payable balance from September 30 to October 31. The formula for this is:
Change in Accounts Payable = Ending Accounts Payable - Beginning Accounts Payable
Therefore, the change in accounts payable for Corentine Company is:
Change in Accounts Payable = $135,000 - $157,000 = -$22,000
A negative value indicates a decrease in accounts payable.
To determine the amount of cash paid on accounts payable during October, we need to subtract the change in accounts payable from the total purchases on credit during October:
Cash Paid on Accounts Payable = Total Purchases on Credit - Change in Accounts Payable
Therefore, the cash paid on accounts payable for Corentine Company during October is:
Cash Paid on Accounts Payable = $286,000 - (-$22,000) = $308,000
https://brainly.com/question/29954174
#SPJ2
Rewrite 0,88 as a common fraction
Answer: 22 / 25
Step-by-step explanation:
I know this because I know everything.
Answer:
\( \frac{22}{25} \)
operación de calculo 40+30+18=
40 + 30 + 18
= 70 + 18
= 88
Answer:
88
Step-by-step explanation:
40+30+18=70+18=88
prove that, given a nonnegative integer , there is a unique nonnegative integer such that m^2 < sqrt n < (m 1)^2
It is proved that m = √n.
To prove that given a nonnegative integer n, there is a unique nonnegative integer m, we just need to take the square root of the given equation:
m^2 ≤ n < (m + 1)^2.
So, after taking the square root, it will be:
m ≤ √n < m + 1
From that we can see m = √n is the unique m.
What is a nonnegative integer?A nonnegative integer is an integer which is either positive or zero. It is the union of the natural numbers and the number zero. Occasionally, it is referred to as Z*, and it can be described as the set {0, 1, 2, 3, 4, 5, …}. In other words, nonnegative integers are integers that are not negative.
Learn more about nonnegative integer at: https://brainly.com/question/13684481
#SPJ4
Although part of your question is missing, you might be referring to this full question: Prove that given a nonnegative integer n, there is a unique nonnegative integer m such that m^2 ≤ n < (m+1)^2.
4. Choose one other career to compare with your original choice. Then complete one table for each career.
Expenses wοuld be same and in bοth cases there expenses wοuld exceed, but in career 1 the οver expense wοuld be $500 while in career 2 the οver expense wοuld be $1000.
Define prοfit and lοss?Tο determine whether a cοntract is lucrative οr nοt, the phrases prοfit and lοss are utilised. These wοrds are frequently used in οrdinary cοnversatiοn. If the selling price exceeds the cοst price, the difference between the twο amοunts is knοwn as the prοfit. The difference between the cοst price and the selling price, if the selling price is less than the cοst price, is referred tο as a lοss. A prοduct's cοst price is the cοst at which it is purchased. The selling price οf a thing is the cοst at which it is sοld. In this essay, let's study mοre abοut prοfit and lοss.
Expenses Career Choice 1 Career Choice 2
Monthly income $10,000 $20,000
Rent: 30%* $3,000 $6,000
Utilities: 10%* $1,000 $2,000
Car Insurance: 5%* $500 $1,000
Cell Phone: 10%* $1,000 $2,000
Occasional Spending: 10%* $1,000 $2,000
Savings: 10%* $1,000 $2,000
Food: 15%* $1,500 $3,000
Car Loan: 10% $1,000 $2,000
Entertainment: 5% $500 $1,000
Total: $10,500 $21,000
Thus, after comparing both the careers, we have come to find that expenses would be same and in both cases there expenses would exceed, but in career 1 the over expense would be $500 while in career 2 the over expense would be $1000.
To know more about profit & loss, visit:
brainly.com/question/13934673
#SPJ1
help me out please
Answer:
\(\huge\boxed{\text{(D)} \ 2.25}\)
Step-by-step explanation:
In order to find another way to represent the fraction \(2 \frac{1}{4}\), we need to find different ways to represent fractions as a whole. One way to write fractions are as decimals.
We know that 2 as a decimal is just 2. We can leave that be for now.
We also know that \(\frac{1}{4}\) as a fraction will just be \(1 \div 4\), which is 0.25. Therefore, combining 2 and 0.25 we get 2.25.
Hope this helped!
(2×10⁴)+(7×10⁵)-(6×10³)
Step by step explanation
Answer:
(2×10⁴)+(7×10⁵)-(6×10³)= 714000
Demonstrate the deference types of equipment that can be used to introduce numeracy to young children
Introducing numeracy to young children can be done through various types of equipment and resources that engage their senses and make learning math concepts more interactive and enjoyable.
Here are some different types of equipment commonly used to introduce numeracy to young children:
Counting blocks: Colorful blocks that children can use to physically count and group numbers.Number rods: Wooden rods or bars of different lengths that help children understand number values and comparisons.Counting bears: Small bear-shaped counters that children can use for counting, sorting, and basic addition and subtraction.Number puzzles: Jigsaw puzzles or manipulative puzzles with numbers, helping children recognize and order numerals.Math storybooks: Books that incorporate mathematical concepts into stories, making math more relatable and enjoyable for children.Picture books with numeracy themes: Books that use illustrations and visuals to introduce and reinforce numeracy concepts.Thus, by incorporating a variety of equipment and resources, educators and parents can create a rich learning environment that supports children's numeracy development and fosters a positive attitude towards math.
For more details regarding numeracy, visit:
https://brainly.com/question/32253551
#SPJ1