Simplify the following expression. 3^2/5 x 3^(-7/5) A. 1/243 B. -14/25 C. 1/3 D. -3
Answer:
C
Step-by-step explanation:
3^2/5 x 3^-7/5
We know that a^b* a^c = a^(b+c)
3^(2/5 -7/5)
3^ (-5/5) = 3^ -1
We know that a^-b = 1/ a^b
3^-1 = 1 / 3
identify an equation in point slope form for the line perpendicular to y=-2x+8 that passes through (-3,9)
Answer:
y - 9 = 1/2(x + 3)
Step-by-step explanation:
find the slope that is perpendicular to line y = -2x + 8, which is the negative reciprocal slope: 1/2
substitute the new slope 1/2 and the given/known point (-3, 9) into the point-slope form:
=> y - 9 = 1/2(x - (-3)) => y - 9 = 1/2(x + 3)
point-slope form:
Solve for r. Show your work!
12 = r - (34 - 2)
Answer:
44
Step-by-step explanation:
12 = r - (34 - 2)
12 = r - 32
12+32 = r
r=44
Answer:
yEE-
Step-by-step explanation:
the original piece of a book is $25. the book is on sale for 30% off. what percent are we paying? what is the price you will pay for the book
show work please and thank you :)
Answer:
$17.50
Step-by-step explanation:
multiply 25 and 30, the divide the answer by 100, the deduct that result from the original price
What is the area of this parallelogram? Show your work in detail.
helppp MEEEEE
Answer:
Parallelogram area = (height × base)
Parallelogram area = 3 * 10 cm
Area = 30 square centimeters
Source: http://www.1728.org/quadpar.htm
Step-by-step explanation:
If x=3 and y=7, evaluate the following expression: 100 − 3 ( 3 − 4x )
Answer:
[tex]100 - 3(3 - 4x) \\ = 100 - 3(3 - 4 \times 3) \\ = 100 -27 \\ = 73[/tex]
Answer:
873
Step-by-step explanation:
100 - 3 ( 3- 4x ) 97 ( 3 - 4×3 )97 (3 - 12 ) 97 × 9 873What is the slope of the line given by the equation y=-3X?
Answer:
The slope is -3
Step-by-step explanation:
y=mx+b
m=slope
m=-3
slope=-3
hope this helps!
The length of a rectangle is twice its width. The perimeter is eighty-four inches. Find the length and width. The length is inches. The width is inches.
Help me with 6 and 7
Answer:
6 b 7 d give me brainlest
Step-by-step explanation:
A А
С
D
14
5
B
AD = [?]
Enter the number that belongs in
the green box
Enter
Answer:
CD = 14
Step-by-step explanation:
here's your solution
=> In ∆ ABD and ∆ CBD
=> AB = CB
=> Angle ABD = Angle CBD
=> DB = DB
=> hence, both triangle are congurent
By ASA (criteria)
=> so, AD = CD (by C.P.C.T)
=> CD = 14
=> AD = 14
hope it helps【◆◆】
Answer:
14
Step-by-step explanation:
AD and DC are equal
You saved $180 on your new laptop because you bought it online. If this was a 20% savings from the original price, find the original cost of the laptop.
Answer:
$900
Step-by-step explanation:
$180 divided by 0.20 is $900
A percentage is a way to describe a part of a whole. The original cost of the laptop is $900.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Let the original cost of the laptop be represented by x.
Given that you saved $180 on your new laptop, which is a 20% saving from the original price. Therefore, the percentage can be written as,
20% of original price = $180
(20/100) × x = $180
x = ($180×100)/20
x = $900
Hence, the original cost of the laptop is $900.
Learn more about Percentages here:
https://brainly.com/question/6972121
#SPJ2
Which property does this represent: (19 x 5) x 2 = 19 x (5 x 2)
Answer:
Associative Property of Multiplication
Step-by-step explanation:
The associative property of multiplication means that no matter where you put the parenthesis in the equation, the answer will remain the same.
Hope this helps! :)
There are 8 people seated, equally spaced, along a counter. If each person has 1 3/8 feet of counter space, how long is the counter?
Answer:
8+(13-8)=13 pls Point pls
2. One pound of pineapples costs $4.80. Jessica bought
3/4 pounds. How much did Jessica spend on pineapples?
Answer:
$3.60
Step-by-step explanation:
A statistician wants to know the average height of all men in the United States (US) ages 18-30. Select all the
sentences that correctly identify the population and sample.
The population is all men in the US.
The population is all men in the US ages 18-30.
The population is all people in the US ages 18-30.
A sample is a selected group of male professional basketball players in the US ages 18–30 from which their
heights were measkred.
A sample is a selected group of men from the top 50 occupations in the US ages 18-30 from which their heights
were measured.
Answer:
The answer on ed 2021
Step-by-step explanation:
B: The population is all men in the US ages 18–30.
and
E: A sample is a selected group of men from the top 50 occupations in the US ages 18–30 from which their heights were measured.
Brian opened a bank account that compounded continuously. The amount, y, in Brian's account can be modeled by this equation.
y=nekt
Where n is the initial amount deposited,
t is the time in years, and
k is the growth constant.
Brian deposited $500 initially and did not make any more deposits or withdrawals. After 8 years, Brian's account has a balance of $625.
What is the value of k?
O A k =
In(.8)
8
O c. k=
In(500)
5000
O B. k=
In(625)
4000
O D. k=
In(1.25)
8
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Answer:
D. k = In(1.25)/8
Step-by-step explanation:
Solve the equation for k. Maybe you want to put the numbers in first.
[tex]y=n\cdot e^{kt}\\\\625=500e^{8k}\qquad\text{use the given values}\\\\1.25=e^{8k}\qquad\text{divide by 500}\\\\\ln{(1.25)}=8k\qquad\text{take the natural log}\\\\\boxed{k=\dfrac{\ln(1.25)}{8}}\qquad\text{divide by 8}[/tex]
_____
That's about 2.7893%
3.
A man has 6 packages. Their average weight is 18 kg. Find the total
weight of the 6 packages.
Answer:
108 kg for all 6 packages
Step-by-step explanation:
Answer:
=108
Step-by-step explanation:
18 × 6 will give you 108
Which statement describes ?
The series diverges because it has a sum of 4.
The series converges because it has a sum of 4.
The series diverges because it does not have a sum.
The series converges because it does not have a sum.
Answer: B
The series converges because it has a sum of 4.
Step-by-step explanation:
The convergence or divergence of a series depends on the sum of the series and its common ratio. The series converges because its sum is b
The series is given as:
[tex]\sum\limits^{\infty}_{n=1} 2 (\frac{2}{3})^n[/tex]
A geometric series is given as:
[tex]T_n = ar^{n-1}[/tex]
So, we rewrite the series as follows:
[tex]\sum\limits^{\infty}_{n=1} 2 (\frac{2}{3})^n = \sum\limits^{\infty}_{n=1} 2 (\frac{2}{3})^n[/tex]
Apply law of indices
[tex]\sum\limits^{\infty}_{n=1} 2 (\frac{2}{3})^n = \sum\limits^{\infty}_{n=1} 2 (\frac{2}{3})^{n-1} \times (\frac{2}{3})[/tex]
Rewrite
[tex]\sum\limits^{\infty}_{n=1} 2 (\frac{2}{3})^n = \sum\limits^{\infty}_{n=1} 2 \times (\frac{2}{3})(\frac{2}{3})^{n-1}[/tex]
[tex]\sum\limits^{\infty}_{n=1} 2 (\frac{2}{3})^n = \sum\limits^{\infty}_{n=1} \frac{4}{3}(\frac{2}{3})^{n-1}[/tex]
So, we have:
[tex]T_n = \frac{4}{3}(\frac{2}{3})^{n-1}[/tex]
Compare the above series to: [tex]T_n = ar^{n-1}[/tex]
[tex]a = \frac{4}{3}[/tex]
[tex]r = \frac{2}{3}[/tex]
The sum of the series to infinity is:
[tex]S_{\infty} = \frac{a}{1 - r}[/tex]
So:
[tex]S_{\infty} = \frac{4/3}{1 - 2/3}[/tex]
[tex]S_{\infty} = \frac{4/3}{1/3}[/tex]
[tex]S_{\infty} = 4[/tex]
i.e. [tex]\sum\limits^{\infty}_{n=1} 2 (\frac{2}{3})^n = 4[/tex]
Also:
The common ratio (r)
[tex]r = \frac{2}{3}[/tex]
[tex]r = \frac{2}{3}[/tex] [tex]< 1[/tex]
When common ratio is less than 1, then such series is convergent.
Hence, (b) is true because it has a sum of 4
Read more about series at:
https://brainly.com/question/10813422
-> What is the remainder of 46 divided by 48?
the answer would be 0.9583
3. Which of the following expressions is
equivalent to 6(9 + 4)? (Lesson 7.8)
Answer:
D
Step-by-step explanation:
6(g + 4)
we distribute the 6 to the terms in the parenthesis.
(6 × g) + (6 × 4)
(6g) + (24)
6g + 24
Write down and simplify expression of the perimeter of the shape below.
Simplified Please !
Answer:
[tex]P = 4x+4[/tex]
Step-by-step explanation:
Given
The attached triangle
Required
Determine the perimeter (P)
This is calculated by adding the measure of the three sides.
So, we have:
[tex]P = 2x-3 + x + 5 +x + 2[/tex]
Collect like terms
[tex]P = 2x +x +x-3 + 5 + 2[/tex]
[tex]P = 4x+4[/tex]
Factorize
[tex]P = 4(x+1)[/tex]
Hence, the perimeter is 4x + 4 or 4(x + 1)
what shape is that? Please don't answer the question, i just need to know the shape.
Answer:
Rectangle.
Step-by-step explanation:
It has 4 sides.
Answer:
It is a Wedge
Step-by-step explanation:
Because if you were to compare it to a rectangle which it look like it is a 3D figure and it gets slightly skinnier at the top so it is indeed a wedge
If g(x) = 1/4X-4 find
g(-4) = [g1]
g(12) = [g2]
Answer:
G1 = -5 G2 = -1
Step-by-step explanation:
plug in the values given into X and solve
g1= 1/4(-4) -4
g1 = -1 -4
g1 = -5
g2= 1/4(12) -4
g2= 3 -4
g2= -1
What is the value of x?
Enter your answer in the box.
x =
$\text{Basic}$
$x$$y$$x^2$$\sqrt{ }$$\frac{x}{ }$
$x\frac{ }{ }$
$x^{ }$$x_{ }$$\degree$$\left(\right)$$\abs{ }$$\pi$$\infty$
The figure shows 2 right triangles, triangle A B C with right angle B and triangle B D C with right angle D. The measure of angle B A C is 45 degrees. The measure of angle D B C is 60 degrees. The length of side C A is 6 square root 2. The length of side B D is x.
Answer:
That did not make sense
Answer:
x = 3
Step-by-step explanation:
Verified correct with test results.
Just had to delete the jibberish to find the actual question for this problem:
The figure shows 2 right triangles, triangle A B C with right angle B and triangle B D C with right angle D. The measure of angle B A C is 45 degrees. The measure of angle D B C is 60 degrees. The length of side C A is 6 square root 2. The length of side B D is x. What is the value of x?
Graph the line passing through (4, -1) whose slope is m = 4/3
9514 1404 393
Answer:
graph is attached
Step-by-step explanation:
With the given slope, the intercepts will not be at integer values. The best way to graph this by hand is to start at the point (4, -1) and use the slope to identify other points on the line.
The slope of 4/3 tells you the graph will rise 4 units for each 3 units to the right. So, another point will be (4, -1) + (3, 4) = (7, 3). A point in the other direction will be (4, -1) -(3, 4) = (1, -5). These points are sufficient for you to draw the desired line.
Which expression is equivalent to 4/9 × 7
key:
1. 9÷4×7
2. 4×7÷9
3. 4÷7×9
4. 7×9÷4
Thank you :)
Ana is baking cookies for her family reunion. Her recipe uses 3/4 cup sugar and has a yield of 24 cookies. How many cups of sugar will Ana need if she wants to bring 10 dozen cookies? (1 dozen = 12).
9514 1404 393
Answer:
3 3/4 cups
Step-by-step explanation:
The yield from 3/4 cup of sugar is 2 dozen cookies. Multiply that by 5 and you get: the yield from 15/4 cups of sugar is 10 dozen cookies.
As a mixed number 15/4 = 3 3/4.
Ana will need 3 3/4 cups of sugar for 10 dozen cookies.
Answer:
Solution given:
recipe use 3/4 cup of sugar for 24 or 2 dozen Cooke's
now
we have
2 dozen=3/4 cup of sugar
10dozen=3/4×10/2=15/2 cup of sugar is needed
If you have 10 tennis players in a round-robin tournament. How many games will they need to play before each player has played every other player?
Answer:
6
Step-by-step explanation:
i just had the same question :)
CE and FH are parallel lines.
Which angles are supplementary angles?
Answer:
<CDG and <CDB are supplementary angles.
Answer:
hff
Step-by-step explanation:
< CDG and <CDB are supplementary angles.
msm555 is correct
hope it is helpful to you ☺️☺️☺️
HELPP FAST PLEASEEEE
Answer:
30%
Step-by-step explanation:
because I have answered this one and for it right