Answer:
D. For a ratio of 3:2, divide AB into 5 equal parts. Each equal part is 2 units, so the point that divides AB into a 3:2 ratio is 2.
Step-by-step explanation:
The complete question is:
Point A is at –4 and point B is at 6. Which describes one way to find the point that divides AB into a 3:2 ratio?
In a 3:2 ratio there are 3 + 2 = 5 equal parts.The distance between points A and B is: 6 - (-4) = 6 + 4 = 10 units.Each equal part is 10/5 = 2 units.Point 2 is at 2 - (-4) = 6 units from -4Point 2 is at 6 - 2 = 4 units from 6Ratio 6:4 is equivalent to ratio 3:2If f(x) = 4 - 2x^2 and g(x) = 2√x what is the value of f(g(x))? (The thing after the number 2 for g(x) is square root of x) A) 4-16x B) 4-8x C) 4-4x D) 4-2x E) 4-x
Answer:
B) 4-8x
Step-by-step explanation:
[tex]f(x) = 4 - 2x^2 \\ g(x) = 2\sqrt{x} \\ f(g(x)) = ?\\First - find- g(x)\\f(2\sqrt{x} )\\4-2(2\sqrt{x})^{2} \\4-2(4x)\\4-8x\\f(g(x))= 4-8x = B[/tex]
Solve 54 - 10x< 20 + 7x.
O A. x 2
O B. XS-2
O c. xs2
O D. XX-2
Answer:
I think b :)
Step-by-step explanation:
What is the inverse of the function f(x)= 6x-5/x+9
Answer:
To find the inverse, interchange the variables and solve for
y .
f ^− 1 ( x ) = − 9 − x − √ (x ^2 − 18 x + 201 )) /(12 ) , (− 9 − x + √ (x ^2 − 18 x + 201)) / (12 )
Which best explains why the equation 7x + 3 = 7x+-3 has infinitely many
solutions?
A. The equation has a variable on goth sides.
B. The equation is true for any value of x.
O c. The equation is not true for any value ofr.
Simplify the expression by combining like terms.
15 + 12x – 5x + 4y - 7
(A) 11xy + 8
(B) 7x + 4y + 8
(C) 7x + 4y - 7
(D) 15 + 11xy - 7
John invested $700, at an interest rate of 2.5%, for 6 months. Find the interest earned.
Answer:
I think 10,500.
Step-by-step explanation:
700 multiplied by 2.5=1750
x 6
10,500
examine the number patter below 3,5,7,9,11,13,15,17
Answer: Add 2. Step-by-step explanation:If you look closely, you can see that the numbers are increasing by 2 each time.
If x = y, then xz = yz represents the __________ property of equality. answers : multiplication addition division subtraction
Answer:
I believe the answer is multiplication property of equality.
I hope I helped, please correct me if I'm wrong!
Scott opened a savings account with $5000 and was paid simple interest at an annual rate of 3%. When Scott closed the account, he was paid $450 in interest. How long was the account open for, in years?
Thanks.
Answer: The account has been open for 3 years.
Step-by-step explanation:
yes
HELP ASAP PLZZZ, dhrbfjjdhehf
Answer:
45
Step-by-step explanation:
<1 and <2 are supplementary so <1+<2= 180 degrees
135+<2=180
<2= 45
Prove : Cos^4A+sin^4A=1/4(3+cos4A)
Answer:
1 = (sin^2 A + cos^2 A)^2 = sin^4 A + cos^4 A + 2 sin^2 A cos^2 A
so
sin^4 A + cos^4 A
= 1 - 1/2 sin^2 2A
= 1 - 1/4 (1- cos 4A)
= 1/4 (3+cos 4A)
Step-by-step explanation:
hope I helped
Four data sets are shown below.
Set 1: {10, 19, 38, 50, 513
Set 2: {5, 21, 26, 39, 51}
Set 3: {9, 38, 50, 50, 513
Set 4: {5, 28, 28, 28,513
Which data set has the largest standard deviation?
For these given four sets of data, Set: 4 has the largest standard deviation.
What is standard deviation for a data set?"Standard deviation is a measure of the amount of variation or dispersion of a set of values.
A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range."
Set: 1 {10, 19, 38, 50, 513}
Number of terms = 5
Mean = (10 + 19 + 38 + 50 + 513)/5 = 630/5 = 126
Standard deviation
= [√{(10 - 126)² + (19 - 126)² + (38 - 126)² + (50 - 126)² + (513 - 126)²}/5]
= [√(13456 + 1149 + 7744 + 5776 + 149769)/5]
= 188.62
Set: 2 {5, 21, 26, 39, 51}
Number of terms = 5
Mean = (5 + 21 + 26 + 39 + 513)/5 = 604/5 = 120.8
Standard deviation
= [√{(5 - 120.8)² + (21 - 120.8)² + (26 - 120.8)² + (39- 120.8)² + (513 - 120.8)²}/5]
= [√(11193.64 + 9960.04 + 8987.04 + 6691.24 + 153820.84)/5]
= 195.27
Set: 3 {9, 38, 50, 50, 513}
Number of terms = 5
Mean = (9 + 38 + 50 + 50 + 513)/5 = 650/5 = 130
Standard deviation
= [√{(9 - 130)² + (38 - 130)² + (50 - 130)² + (50 - 130)² + (513 - 130)²}/5]
= [√(14641 + 8464 + 6400 + 6400 + 146689)/5]
= 191.1
Set: 4 {5, 28, 28, 28,513}
Number of terms = 5
Mean = (5 + 28 + 28 + 28 + 513)/5 = 602/5 = 120.4
Standard deviation
= [√{(5 - 120.4)² + (28 - 120.4)² + (28 - 120.4)² + (28 - 120.4)² + (513 - 120.4)²}/5]
= [√(13317.16 + 8537.76 + 8537.76 + 8537.76 + 154134.76)/5]
= 196.5
Therefore, Set: 4 has the largest standard deviation.
Learn more about standard deviation here: https://brainly.com/question/12402189
#SPJ3
Use the distance formula to find the distance between (-3, 5) and (3,1).
d = StartRoot (x 2 minus x 1) squared + (y 2 minus y 1) squared EndRoot
Answer:
About 7.2
Step-by-step explanation:
Answer = [tex]\sqrt{52}[/tex]
look at image attached
QUESTION 3 What is the area of the parallelogram?
Answer:
C. 275.88 m squared
24.2 * 11.4 = 275.88 m squared
Compare the repeating decimals shown with their equivalent fractions. Describe the pattern. 0.111...(repeating)= 1/9, −0.555...(repeating)= −5/9, −1.222...(repeating)= −1 2/9, 5.888...(repeating)= 5 8/9
PLEASE SONEONE HELP ME!!!!!!!!!
Answer:
The pattern in decimal expressions is that the decimal numbers are repeated immediately after the decimal point.
The pattern in the equivalent fraction is that 9 is on all fractions
Step-by-step explanation:
All the cases (0.111..., −0.555..., −1.222... and 5.888...) are solving by the following procedure (only one example is shown):
x = 0.111111...
10x = 1.11111...
10x - x = 1.11111... - 0.111111...
9x = 1
x = 1/9
which is equivalent to express the decimal part as the tenth divided by 9. Then:
−0.555...= −5/9,
−1.222...(repeating)= −1 2/9,
5.888...(repeating)= 5 8/9
What is Five thousand, three hundred one and ninety-six thousandths
Answer:
500030196000
Step-by-step explanation:
Five thousand = 5000
Three hundred one = 301
Ninety-six thousandths = 96000
In numbers:
500030196000
Hope this helps.
Add 3 5/12 + 2 5/9 . Simplify the answer and write as a mixed number.
If you want to buy an item in a store that costs $45.50 and is on sale for 10% off, then how much would the item actually cost you after the discount? Round to the nearest cent.
Answer:
$40.95
Step-by-step explanation:
Multiply 45.50 by 0.10 and get 4.55. 4.55 is the discount. Then subtract 4.55 from 45.50 and get 40.95
Answer:
$40.95
Move the decimal over to the left once and you get 10% off the all you do is subtract that from the original cost.
The least common denominator of 1/2, 1/6, and 1/9 is:
Answer:
18
Step-by-step explanation:
Find the factors of each denominator
2 = 1*2
6 = 2*3
9 = 3*3
The least common multiple is
2*3*3 = 18
The least common denominator is 18
Answer:
The LCD is 18.
Step-by-step explanation:
2 = 2
6 = 2*3
9 = 3 * 3
The Least Common Multiple = 2 * 3* 3 = 18 (because there is 1 pairs of 2's and 1 pair of 3's in the factors, so only 1 of each appear in the calculation).
Which of the following coordinate points represents the x-intercept of the equation 2x + 3y = 10?
A. (5, 0)
B. (0, 0)
C. (–4, 0)
D. (–2, 0)
Answer:
A
Step-by-step explanation:
take out the 'y' and the equation is left to 2x=10 and you divide 2x and 10 by 2
use diagram to answer 3(x+6)=30
Answer:
Step-by-step explanation:
3x + 18 = 30
3x + 18 -18 = 30 - 18
3x = 12
x = 4
one more last one help
Answer:
C 24
Step-by-step explanation:
Can someone help me I was doing good and then I got stuck on this question what I can’t figure out is how you get the voltage when you only have the watt and resistance .
A 60.0 Watt lightbulb has an operating resistance of 220 Ω.
Calculate the operating voltage of this lightbulb.
Answer:
114.89 V
Step-by-step explanation:
Watts are a measure of power, and there is an equation that relates power, voltage, and resistance. It goes like this:
P=(V^2)/R
Now to find the voltage you want to solve for V
PR = V^2
V = [tex]\sqrt{PR}[/tex]
Now substitute your numbers into the equation and you get your answer
V = [tex]\sqrt{(60)(220)}[/tex]
V = [tex]\sqrt{13200}[/tex]
V = 114.89 V
The local farmer wants to know how many gallons of water his new watering through holds solve
Answer:
35
Step-by-step explanation:
7x5= 35
i think pls correct me if im wrong
Answer:
see below
Step-by-step explanation:
We need to find the volume of the cylinder
V = pi r^2 h
V = pi * 7^2 * 5
V = pi (245)
V = 245pi ft^3
Using 3.14 as an approximation for pi
V =769.3 ft^3
If we use the pi button
V = 769.6902001 ft^3
The coordinates of points A and B are (2, 4) and (-2,-4)
respectively. What is the slope of the line that connects the two
points?
A. 2
B. 1/2
C. 1
D. 1/4
Answer:
A
Step-by-step explanation:
slope= [tex] \frac{y1 - y2}{x1 - x2} [/tex]
Thus, slope of the line
[tex] = \frac{4 - ( - 4)}{2 - ( - 2)} \\ = \frac{4 + 4}{2 + 2} \\ = \frac{8}{4} \\ = 2[/tex]
The right answer is 2.
look at the attached picture
Hope it helps
Good luck on your assignment
What are the opposites of 9, −3.6, 2.25, and 9 1 2 ? Enter the answers in respective order, each separated by comma.
Answer:
-9, 3.6, -2.25, and -9 1 2
Step-by-step explanation:
6t^{2} – 13 when t = 2
Answer:
11
Step-by-step explanation:
6t^2 - 13
Let t=2
6 * 2^2 -13
powers first
6 *4 -13
Multiply
24 -13
subtract
11
Answer:
[tex] = 11[/tex]
Step-by-step explanation:
[tex]6 {t}^{2} - 13[/tex]
[tex]t = 2[/tex]
[tex]6 {t}^{2} - 13 \\ 6 \times 2 \times 2 - 13 \\ 24 - 13 \\ = 11[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Find the midpoint of (6, 4), and (0,2).
Answer:
(3,3)
Step-by-step explanation:
Using the midpoint formula:
[tex]m=\left( \dfrac{6+0}{2},\dfrac{4+2}{2} \right)=\left( \dfrac{6}{2},\dfrac{6}{2} \right)=(3,3)[/tex]
Hope this helps!
if y varies directly as x and y=32 when x=4 find the value of y when x=5
Answer:
y=40
Step-by-step explanation:
32 divided by 4 equals 8. And 5 times 8 equals 40.
1. It cost Nike $55 to make the "Kyrie 5", but it is selling for $130.19. Calculate the markup/percent Increase for the shoe.
2. The state tax is 8%. Calculate how much you will pay in taxes on the Kyrie 5.
3. You just found a coupon for 35% off! What is the new price of the shoe before taxes?
4. On Amazon, you found the same shoe for $108. What is the percent difference between the price of the original and the price of the amazon shoe?
Answer:
1)The markup/percent Increase for the shoe is 136.709%
2)Amount of tax on the Kyrie 5 is $4.4
3)The new price of the shoe before taxes is $35.75
Step-by-step explanation:
1) Cost price of Kyrie 5 = $55
Selling price = $130.19.
Difference = 130.19-55=75.19
So, Percentage increase =[tex]\frac{Change}{CP} \times 100[/tex]
Percentage increase =[tex]\frac{75.19}{55} \times 100 =136.709\%[/tex]
2)The state tax is 8%
So, Amount of tax on the Kyrie 5. = [tex]8\% \times 55[/tex]
=[tex]\frac{8}{100} \times 55[/tex]
= 4.4
So, You will pay $4.4 in taxes on the Kyrie 5.
3)You just found a coupon for 35% off!
New price of the shoe before taxes =[tex]55-35\%(55)[/tex]
=35.75
So,the new price of the shoe before taxes is $35.75
