Answer:
Total length of the first swing=64 m
Step-by-step explanation:
The total length of all four swings can be expressed as; Total length of all 4 swings=Length of first swing+length of second swing+length of third swing+length of fourth swing
where;
Total length of all 4 swings=175 m
Length of first swing=x
Length of second swing=75% of length of first swing=(75/100)×x=0.75 x
Length of third swing=75% of length of second swing
Length of third swing=(75/100)×0.75 x=0.5625 x
Length of fourth swing=75% of length of third swing
Length of fourth swing=(75/100)×0.5625 x=0.421875 x
replacing;
Total length of all 4 swings
175=x+0.75 x+0.5625 x+0.421875 x
2.734375 x=175
x=175/2.734375
x=64
Total length of the first swing=x=64 m
Find the volume of this cylinder. Give your answer to 1 decimal place when the radius is 11 cm and the length is 14 cm
Answer:
5324
Step-by-step explanation:
volume of cylinder=πr^2l=22/7×11^2×14=5324
Which of the following rational function is graphed below?
multiply. write the result in scientific notation. (2.3x10^1)(7x10^6)
[tex] (2.3 \times 10^1) \times (7 \times 10^6)[/tex]
[tex](2.3 \times 7) \times (1 {0}^{1} \times {10}^{6} )[/tex]
[tex]16.1 \times {10}^{1 + 6} [/tex]
[tex]16.1 \times {10}^{7} [/tex]
The product of the given numbers is 1.61 × 10⁸.
What is meant by Scientific Notation?Scientific notation is a way of writing a large number or small number with many digits in a simpler form using the power of 10.
For example, 30,000 can be written as 3 × 10⁴.
Given that,
We have to multiply the numbers (2.3 x 10¹) (7 x 10⁶).
The numbers in scientific notation uses exponents.
So we have to use the product rule of exponents here.
(2.3 x 10¹) (7 x 10⁶) = (2.3 × 7) × (10¹ x 10⁶)
= 16.1 × (10¹ x 10⁶)
We have the product rule, xᵃ . xᵇ = xᵃ⁺ᵇ
So the product is,
(2.3 x 10¹) (7 x 10⁶) = 16.1 × (10¹⁺⁶)
= 16.1 × 10⁷
= 1.61 × 10⁸
Hence the product in scientific notation is 1.61 × 10⁸.
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The expression 10x + 25 can represent the area of the figure below. Which answer choice shows this expression when factored correctly?
Pls help!
Answer:
the correct answer would be 5(2x+5)
Step-by-step explanation:
Find the greatest common factor to divide the two numbers by. That would be 5.Divide the two numbers by 5 and then put the five outside some parenthesis. 5(2x+5). And then there you have it. That's the answer.what is 10 1/3 x 1/4? that is, what is ten and one third times one fourth?
answer
2 1/2
2 1/12
10 1/12
2 7/12
Answer:
[tex]2[/tex] [tex]\frac{7}{12}[/tex]
Step-by-step explanation:
1) Make the first term an improper fraction
10 1/3 = [tex]\frac{31}{3}[/tex]
2) Multiply
[tex]\frac{31}{3}[/tex] × [tex]\frac{1}{4\\ }[/tex]
When multiplying fractions, multiply the numerators together and the denominators together. This leaves you with....
[tex]\frac{31}{12}[/tex]
3) Convert back into a mixed fraction
[tex]\frac{31}{12}[/tex] = [tex]2[/tex] [tex]\frac{7}{12}[/tex]
I hope this helps!
Which equation represents the relationship shown in the table?
Answer:
y=x+1.5
Step-by-step explanation:
Y is always 1.5 more than x.
Translate the statement into an equation. Then solve the equation.
The sum of 8 and 3 times a number is 23.
3x - 8 = 23; 5
8+ 3x = 23,5
3x = 8+23; 10
(8 + 3)x = 23; 2
Aubrey is making cone-shaped hats for a birthday party. She mistakenly thinks that she will need about 104 square inches of paper for each hat.
Answer:
I dont know
Step-by-step explanation:
I dont know sorry
Answer:
70
Step-by-step explanation:
Find a numerical value of one trigonometric function of x for cscx = sinx tanx + cosx
Answer:
Step-by-step explanation:
we have
[tex]cscx = sinx tanx + cosx\\\\\frac{1}{sinx}=sinx.\frac{sinx}{cosx} +cosx\\\\\frac{1}{sinx}.sinx.cosx= sinx.\frac{sinx}{cosx}.sinx.cosx+cosx.sinx.cosx\\ cosx= (sinx)^{3} +sinx.(cosx)^{2} \\cosx= sinx[(sinx)^{2}+(cosx)^{2})\\ cosx=sinx.1\\cosx=sinx\\tanx=1\\x=\frac{\pi}{4} +k\pi,k-integer.[/tex]
Answer:
cot x=1
Step-by-step explanation:
got it right
Elias writes the numbers 1 through 20 on separate slips of paper. There are 16 white slips of paper and four yellow slips of paper. There are eight odd numbers on white slips, and the rest of the odd numbers are on yellow slips. Are the events "odd” and "yellow” independent?
Answer:
odd
Step-by-step explanation:
Answer:
yes, because the probability of choosing an odd number is equal to the probability of choosing an odd number given that the slip is yellowStep-by-step explanation:
EDGEEE 2022
HELP HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The first one dividing the number by 100
Step-by-step explanation:
(QUICK ANSWERS) Which expression is equivalent to -3(2m-1)- n
Answer:
Choose the fourth option
Step-by-step explanation:
This is a simple distribution.
[tex]-3(2m-1)-n\\-6m+3-n\\-6m-n+3[/tex]
It's the last option.
Answer:
D. -6m-n+3
Step-by-step explanation:HOPES THIS HELPS!
Suzy is shopping at a book sale. The table shows prices for paperbacks.
A two-column table with 3 rows. Column 1 is labeled Books (x) with entries 4, 6, 8. Column 2 is labeled Cost (y) with entries 6, 9, 12.
These points are graphed. Notice the pattern of the points. What is the rate?
The cost is $
for every 2 books.
Answer:
3 bucks
Step-by-step explanation:
The rate of change is 2 and the cost of two books is $3.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + C = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given, Suzy is shopping at a book sale. The table shows prices for paperbacks.
The points are, (4, 6), (6, 8), and (8, 12).
Slope(m) = (12 - 8)/(8 - 6).
Slope(m) = 4/2.
Slope(m) = 2.
Now, 4 books cost $6, hence 2 books cost $3.
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Which of these groups of values plugged into the TVM Solver of a graphing calculator will return the amount of a 20-year loan with an APR of 19.2%, compounded monthly, that is paid off with monthly payments of $510? site:brainly.com
Answer:
my answer was B.
Step-by-step explanation:
I chose C and i got it wrong
Nathan is buying a camera that regularly
costs $400.00. It is on sale for 25% off. If
the tax rate is 10%, what is the final cost
of the GoPro?
Find the slope of this line: y=2x+7
Answer:
The slope is 2
Step-by-step explanation:
Y = mx+b y = mx+b is the shape of the slope-intercept where m is the slope.
Answer:
Slope = 2
Step-by-step explanation:
y=mx+b, in which m is the slope. Whatever number is paired with x is the slope.
The angle 01 is located in Quadrant III, and cos(01) = -30/13
What is the value of sin(01)
Answer:
sin(01) = -32.70/13Step-by-step explanation:
Given cos(01) = -30/13 where angle 01 is located in quadrant III. In the third quadrant, both cos and sin are negative. only tan is positive.
To calculate sin(01), we will apply the trigonometry expression as shown below;
cos(01) = -30/13
According to SOH CAH TOA;
cos(01) = adjacent/hypotenuse = -30/13
sin(01) = opposite/ hypotenuse
To get the hypotenuse, we will use the pythagoras theorem
[tex]hyp^{2}=opp^{2}+adj^{2} \\opp^{2}= hyp^{2}-adj^{2}\\opp^{2}= 13^{2} -(-30^{2} )\\opp^{2} = 169+900\\opp^{2}=1069\\opp = \sqrt{1069} \\opp = 32.70\\[/tex]
sin(01) = 32.70/13
Since sin is also negaitve in the third quadrant, the value of
sin(01) = -32.70/13
[tex]01 = cos^{-1}- 30/13[/tex]
PLEASE HELP OUT! The lengths of two sides of a right triangle are given. Find the length of the third side. Round to the nearest tenth if necessary.
legs: 25 in. and 11 in.
A. 25.2 in.
B. 21.6 in.
C. 27.3 in.
D. 22.4 in.
Which expression is equivalent to ? Assume that the denominator does not equal zero.
Answer:
A) 4ab^2
Step-by-step explanation:
19*4 = 76
(a^2*b^3)/(a*b) = a*b^2
Implies, option A.
Pls answer quickly, this is due today !!!!!!
Mrs. Rappa has decided to take her $2,000 and go check out the savings accounts at Circle Bank of PI Haven. She picks up a flyer in the lobby. There are a couple of savings accounts to choose from. Look at the copy of the information from the flyer below. Write a letter to Mrs. Rappa and offer your advice to her about her options. Be sure to tell Mrs. Rappa your reasoning (using sentences and showing calculations for each account) to decide which account is best. If you have additional advice for Mrs. Rappa about the number of years she is investing her funds - you may do so.
Savings Accounts Interest Rate Years in account
Sleepy Savings 5% 7
Centsational Savings 10% 3
Answer:
Step-by-step explanation:
Dear Mrs.Rappa,
I don't know much about this but i do know that saving accounts are risky and she should just set up a checking. Because it's proven that you'll take the risk of losing value in your money. And you take a risk, but to help you more i need to know about what the 5% 7 means. if i do know what it's means, but the 5% is good, it's compound interest which means you get more money on that interest It grows, but as far as the 7 goes, IDK. but the saving %"s are good like yay money, but she takes the risks. So why the risk is there is because of the stock market, and also because the bank takes other clients money for them to pay other client's. So a risk in 7yrs.
Sincerely,
First name Last name Here
What factors do 6 and 12 have in common?
Answer:
6x^2 im pretty sure thats whats its asking for
Step-by-step explanation:
Find the value of x.
Answer:
x=8
Step-by-step explanation:
5x+8
5x8=40
x=40
Answer:
x = 25.6
Step-by-step explanation:
1. Both angles towards the bottom equal 48 degrees, so the angle on the left (already shown) and across on the right equal 48. Add/multiply both of them
48 * 2 = 96
Now, like triangles, figures with 4 sides add up to a certain number of degree. Four sided figures or quadrilaterals (the ”fancy” math word for it) add up to 360 degrees.
2. Adding up to 360 degrees means that all four angles have to be evenly split, you already know that the corners are 48 degrees, the bottom corners, you don’t know yet, therefore, we subtract 360 by 96 and divide the difference.
360 - 96 = 264
264/2 = 132
3. From the explanation above, you now know that the bottom corners will equal 132 degrees, therefore you will set the equation to be equal to 132 degrees.
5x + 8 = 132
5x = 128
x = 25.6
The answer is x = 25.6, I hope this explained everything, there are some theorems which make remembering these steps a lot easier, and alternative approaches you could have taken, but this is my approach.
Please help with this
Answer:
[tex]\frac{\sqrt{8} }{\sqrt{10} }[/tex]
Step-by-step explanation:
A perfect square is a number that has two identical factors, meaning it can be square rooted. The numbers 64 and 100 are an example:
8 · 8 = 64
10 · 10 = 100
So when you take the square root of [tex]\frac{64}{100}[/tex], you get:
[tex]\frac{\sqrt{8} }{\sqrt{10} }[/tex]
It doesn't say to simplify, so we can just leave it at that.
The base diameter and the height of a cone are both equal to x units. Which v expression represents the volume of the cone, in cubic units? Piex^2 2piex^2 1/3 pie x^2 1/12 pie x^2. Edgu
Answer:
1/12piX^3
Step-by-step explanation:
Simplify the expression. 3⁹ x 3⁶ x 3⁶
Answer:
I might be wrong but I think this is the answer 10460353203
Step-by-step explanation:
Answer:
[tex]3^{21}[/tex]
Step-by-step explanation:
We have [tex]3^9 * 3^6 * 3^6[/tex].
Use the Product Rule for exponents: [tex]a^x *a^y=a^{x+y}[/tex]
[tex]3^9*3^6*3^6 =3^{9+6+6} = 3^{21} \\\\\text {So: }\\\\\boxed {3^9*3^6*3^6 = 3^{21}}[/tex]
The answer is also 10460353203, but [tex]3^{21}[/tex] is the best way to express this.
Brainilest Appreciated.
Select ALL the correct answers.
Select all the expressions that will include a remainder.
2112
251 - 4
31 + 4
(65x – 26) = -13%
-1512 + 45 + 96
31 – 8
-1212 + 281 + 48
3.12 - 71 + 12
(-78r2 + 12x) = 6x
HELP
Answer:
All the expressions that will include a remainder:
65x – 26 = -13%
3.12 - 71 + 12
(-78r2 + 12x) = 6x
Step-by-step explanation:
If you calculate all the answers, you only get a remainder with the following three:
65x – 26 = -13%
65x = 26 - 0.13
x = 25.87 / 65
x = 0.398
So this expressdion includes a remainder.
3.12 - 71 + 12
= -55.88
So this expressdion includes a remainder.
(-78r2 + 12x) = 6x
12x - 6x = 78r2
6x = 78r2
x = (78r2)/6
So this expressdion includes a remainder.
Find the volume of the cone whoever answers first gets brainiest!
Answer:
Exact Form: 6 π
Decimal Form: 18.8495559
Step-by-step explanation:
Answer: V= 1/3πr^2*h
Step-by-step explanation:
. A cone has a radius (r) and a height (h)
V= 1/3*base*h
and the base is πr^2
HERE IS THE WHOLE THING FOR 50 PTS
START AT THE RED BOX AND NAVIGATE TO THE END BOX
THANK YOU SO MUCH
YOU'RE THE BRAINLIEST :)
Answer:
Step-by-step explanation:
there iss no photo :<
If a cross section was cut that was parallel to the base of a triangular prism below a shape with that cross section be ?
A. Square
B. Triangle
C. Parallelogram
D. Rectangle
Someone please explain these questions
Answer: You find it by using slope
Step-by-step explanation
If the graph is rising from left to right, like climbing a hill, the slope is positive (on a graph, you could count up y units divided by right x units). If it is going down from left to right (like sliding down a hill), the slope is negative (on a graph you have to count down y units and right x units).
ex: y = 5x + 3 is an example of the Slope Intercept Form and represents the equation of a line with a slope of 5 and and a y-intercept of 3. y = −2x + 6 represents the equation of a line with a slope of −2 and and a y-intercept of 6.
