Answer:
A.0.25
Step-by-step explanation:
Answer: C 0.27
Step-by-step explanation:
Part A: The area of a square is (4a2 − 20a + 25) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points) Part B: The area of a rectangle is (9a2 − 16b2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)
Answer:
(2a -5)²(3a -4b)(3a +4b)Step-by-step explanation:
There are a couple of factored forms that are used here:
(a +b)² = a² +2ab +b² . . . . the sign of "2ab" will match the sign of b
a² -b² = (a -b)(a +b)
__
Part A:
Since this trinomial is known to be a perfect square, you can find the binomial(s) by looking at the roots of the first and last terms.
√(4a²) = 2a
√25 = 5
The factoring is ...
4a² -20a +25 = (2a -5)²
__
Part B:
This is the difference of perfect squares, so the terms of the factors can be found as in the previous part.
√(9a²) = 3a
√(16b²) = 4b
Using the above factored form, we have ...
9a² -16b² = (3a -4b)(3a +4b)
Find the greatest common factor of 16m^3 and 20a^4.
Answer:
4
Step-by-step explanation:
16 m^3 =4*4 * m^3
20 a^4 = 4*5*a^4
The greatest common factor is 4
Answer:
4
Step-by-step explanation:
16m³: 2⁴ × m³
20a⁴: 2² × 5 × a⁴
GCF: 2² = 4
PLEASE HELP ME!!!!!!!! I CANT GET IT! PLEASE HELP QUICKLY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The length of a rectangle is four times its width. The width of this rectangle is 9 inches less than its length. Find the length and the width of the rectangle.
You answer would be 27, if I did my maths correct.
You get 27 by doing:
9*4=36
36-9=27
Correct me if I am wrong thank you!
Answer:
At first I got 39 but then I redid it and got 27!
A rectangular prism. A rectangle has a base of 7 inches and height of 3 inches. Another rectangle has a base of 7 inches and height of 4 inches. Another rectangle has a base of 7 inches and height of 5 inches. 2 triangles have a base of 3 inches and height of 4 inches. What is the area of one of the triangular faces? in.2
Answer:
6 in.2Step-by-step explanation:
1. Which money market account will earn the most interest?
(33 puntos)
$500 principal at 0.5% monthly for 10 years.
$200 principal at 1% monthly for 20 years.
$1,000 principal at 3% monthly for 2 years.
$100 principal at 8% monthly for 1 years.
A pair of jeans is on sale for 25% off the original price of $75. What is the
new price?
Answer:
$56.25 is the new price
Step-by-step explanation:
75 - 18.75 = 56.25 dollars
Answer:
56.25
Step-by-step explanation:
75*.25=18.75
75-18.75=56.25
The amount of tomato sauce in an 8 oz. can of tomato sauce has a normal distribution with a mean of
8.15 oz. and a standard deviation of 0.07 oz. Which of the following is the 2-score for 7.90 oz.?
Answer:
The z-score for 7.90 oz. is -3.57
Step-by-step explanation:
Data
mean: 8.15 oz.standard deviation, sd: 0.07 oz.value of interest, x = 7.90 oz.From definition of z-score:
Z = (x - mean)/sd
Replacing with data:
Z = (7.9 - 8.15)/0.07
Z = -3.57
Harper just drank a cup of coffee to help her stay awake. The coffee had 140 milligrams of caffeine in it. If her body processes 5% of the caffeine every hour, how much will be left in 8 hours?
Answer:
84 milligrams of caffeine
Step-by-step explanation:
5% of 140 is 7, and if its 5% every hour then you take away 7 for every hour, if there are 8 hours then its 7*8=56. You then subtract that number from 140 which is equal to 84
HELP ASAP 100 POINTS!!!!
You start with $1000 and every day you will receive the previous day’s total plus an additional $1000 a day for 30 days. How much money will you have after 30 days?
Answer: After 30 days, you would have $30,000
Step-by-step explanation: The question clearly gives us a progression which is best described as an arithmetic progression, that is, every term (or every day's amount of money) is determined by adding a fixed amount to what you already have from the previous term (or previous day).
In order to determine the amount earned after a given number of days, we will begin by determining a formula that can be suited for calculating all through any given number of days.
The first amount is fixed already, and we shall call that a. So a equals 1000. The amount added to that is 1000, so for day 2, you shall have 1000 plus 1000 which gives you 2000. The amount added we shall call d, so for day one you earned 1000, for day two you earned 1000 plus 1000. For day three you will earn 2000 plus 1000, which gives you 3000.
Having taken day one as a, and each successive 1000 as d, observe the following trend;
Day 1 = a
Day 2 = a + d
Day 3 = a + (3 - 1)d which gives you a + 2d
Since the first day has been represented by a, the third day shall be less by one common difference which is d. Hence the formula for day n can be expressed as follows;
Day ₙ = a + (n - 1)d
Where n is the number of days, the nth day shall be less by 1 since the term already includes day 1, which is the first term, hence every term shall always be less by 1. In other words, the 30th day (or 30th term) shall be less by 1 shown as follows
Day 30 = 1000 + (30 - 1) 1000
Day 30 = 1000 + (29 x 1000)
Day 30 = 1000 + 29000
Day 30 = 30000
Answer:
You would get 1000 everyday because you would get the previous day, you would have 30,000
Step-by-step explanation:
SDRTYUK243567Iaqwertyh.
Answer
B, i think
Step-by-step explanation:
Look at the pic in the corner it’s math
Answer:
The third one
Step-by-step explanation:
Its because we need to find the number that it has grown.
so we add the number that it grew to the size it was before.
Answer: 1.85 + x = 5.30
Step-by-step explanation: If we know that Ethan planted a tree that was 1.85 meters tall from the start and several years later it's 5.30 meters tall, we know that something must have been added to the 1.85 in order to get 5.30 meters tall. Since we don't know what that value is, we can use x.
X is an example of a variable. A variable is just a letter that represents any number so in this case, it represents how much the tree has grown over a time period of several years.
So we can write this as 1.85 + x = 1.30.
Moore's law states that the maximum number of transistors that can fit on a silicon chip doubles every two years. The function f(x)= 42(1.41) to the X power model the number of transistors, in millions, that can fit on a chip, where X is the number of years since 2000. Using this model, in what year can a chip hold 1 billion transistors?
Answer:
multiply 42 m by 1.41 = 59.22
59.22 x 59.22 = 3507.0084
3507 = 3 billion
59.22 x 20 = 1 billion
Step-by-step explanation:
Rewrite using only positive exponents.
Jackson at the collectibles fair. He has exactly $8 and will purchase a collectible from a vendor for $5. What percent of his money will Jackson spend on the purchase?
Answer:
62.5%
Step-by-step explanation:
Total money with Jackson = $8
Money spent for buying collectible = $5
__________________________________________________
Percentage of any number A with respect to another number B is calculated by multiplying fraction A/B with 100
Numerically A as percentage of b will be expressed as (A/B)100 %
It means that if there are 100 items instead of B item then what will be the value of A.
______________________________________________________
Percentage of money spent = (Money spent for buying collectible /Total money with Jackson)
Substituting the total money and money spent for buying collectible
we have
Percentage of money spent = 5/8 * 100 = 0.625*100 = 62.5%
Thus, 62.5% percent of his money will Jackson spend on the purchase of collectible.
If cos omega =
3
5
find tan omega
Answer:
mmm 30
Step-by-step explanation:
Help asap pleaseee!
A climber is on a hike. After 2 hours, he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change?
200 ft per hour
105 ft per hour
300 ft per hour
75 ft per hour
Answer:
75
Step-by-step explanation:
700-400=300
6-2=4
300/4=75
Answer:
75 ft per hour.
Step-by-step explanation:
because
6% of it is 27
I need help. Someone please give me a explanation of how to do this.
Answer:
You take 6% of a number and the resulting number is 27.
To do this you need to change the percent into a fraction.
6% = 6/100
This is the number you need to multiply to the number you need to find, A.
6/100 A = 27
Solve for x
6 A = 27x100
A= 2700/6
A = 450
Check your answer:
6/100 (A) = 27
6/100 (450) = 27
(6x450) /100 = 27
2700 / 100 = 27
27 = 27
Step-by-step explanation:
Lee sells electronics. He earns a 5% commission on each sale he makes. A. 5 points
Determine the constant of proportionality and write it as a decimal. B. If
Lee wants to make $100 on commission, what is the dollar amount of
electronics he must sell?
WE
Send me a copy of my response.
Submit
Let c represent amount of commission and s represent amount of sales.
We have been given that Lee sells electronics. He earns a 5% commission on each sale he makes.
A. We are asked to find the constant of proportionality.
First of all, we will write our given equation as direct proportion. We know that two proportional quantities are in form [tex]y=kx[/tex], where y is directly proportional to x and k represents constant of proportionality.
We can represent our given information in an equation as:
[tex]c=\frac{5}{100}s[/tex]
[tex]c=0.05s[/tex]
Therefore, constant of proportionality is [tex]0.05[/tex].
B. To find amount of electronics sold by Lee, we will substitute [tex]c=100[/tex] in our equation an solve for s as:
[tex]100=0.05s[/tex]
[tex]\frac{100}{0.05}=\frac{0.05s}{0.05}[/tex]
[tex]2000=s[/tex]
Therefore, Lee must sell $2000 of electronics to make $100 commission.
Rewrite the expression with a positive rational exponent simpmplify if possible 8^-5/3
Answer:
Step-by-step explanation:
hello : here is an solution
Select the correct answer.
Which statement describes the situation shown in the graph?
Answer:
there is no photo??where are the graphs??
Change these times to the 12-hour clock.
07:10
17:30
Answer:
7:10 am
5:30 pm
I have no access at 6 pm
Answer:
A and E
Step-by-step explanation:
I would plug in N as any number just to see if they are equal. I did 5.
A. 28(5)-35= -105
B. 28(5-35)= -840
C. 28(5-7)= -56
D. 7(4*5-35)= -105
E. 7(4*5-5)= 105
For the inverse variation equation p = StartFraction 8 Over V EndFraction, what is the value of V when p = 4?
One-eighth
One-half
2
32
Answer:
2
Step-by-step explanation:
The equation is p = 8/v.
If p = 4, then p = 4 = 8/v
Inverting both sides, we get
1/4 = v/8
Multiplying both sides by 8, we get:
2 = v
If the value of p is 4, then the value of V will be 2. Then the correct option is C.
What is the solution of the equation?The solution of the equation means the value of the unknown or variable.
The equation is given below.
p = 8/V
If the value of p is 4, then the value of V will be
4 = 8 / V
V = 8 / 4
V = 2
Then the correct option is C.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ5
PLEASE HELP! The density of atmosphere (measured in kilograms/meter) on a certain planet is found to decrease as altitude increases (as measured from
the planet's surface). What type of relationship exists between the altitude and the atmospheric density, and what would the atmospheric
density be at an altitude of 1.291 kilometers?
Answer:
The relationship that exist between the altitude and the atmospheric density is an inverse relationship.
[tex]D = \frac{k}{1291} kg/m^3[/tex]
Step-by-step explanation:
since the density of the atmosphere decreases as the altitude increases, the relationship that exist between the altitude and the atmospheric density is an inverse relationship. This can be represented by:
[tex]D = \frac{k}{H}[/tex], where k is the constant, H is the altitude in meters and D is the atmospheric density in kg/m.³
When the altitude is 1.291 km, i.e H = 1.291 km = 1291 m,the atmospheric density D is:
[tex]D = \frac{k}{1291} kg/m^3[/tex]
I need help with this please, I’m not sure if I should use the a^2+b^2=c^2
Answer:
yes, use the Pythagorean theorem
Step-by-step explanation:
it would be 6^2+15^2=c^2
Choose the function that is graphed below
A. Y=9^x
B. Y=3*3^x
C. Y=3^x
Answer:
B
Step-by-step explanation:
For every penny Sam puts into his bank, Tara puts 4 pennies into her bank. If Sam puts 4 pennies into his bank, how many pennies does Tara put into her bank?
Answer:
bruh its 16 pennies
Step-by-step explanation:
1 penny from same=4 pennies from tara
multiply both sides by 4
sam puts in 4 pennies and tara puts in 16
1x4=4
4x4=16
Write a problem that could be modeled with y = 200(0.9)^x
Answer:
Step-by-step explanation:
A new TV sells for $200. Every year, the TV loses 10% of the initial value.
If 50% of an item is 22.00 what is the original price ?
Answer:
$44
Step-by-step explanation:
Answer:
44
Step-by-step explanation:
line q goes through points (-3,3) and (-5,-3). At what point does line q cross the y-axis
Answer:
(0,12)
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
