Simplify (3xy^6)^2(x^3y^2)^4
answer
9x14y20
reason
A flagpole is 20 feet tall is casting a shadow that is 8.2 feet long at what angle is the sun hitting the ground
Answer:
∅ = 67.71°
Step-by-step explanation:
The flag pole is 20 ft tall is casting a shadow that is 8.2 ft long .At what angle is the sun hitting the ground. The illustration forms a right angle triangle.
The right angle triangle has an hypotenuse, opposite and adjacent sides. The flag height forms the opposite side. The shadow forms the adjacent side . The angle the sun is hitting the ground can be using SOHCAHTOA principle.
using Tan
tan ∅ = opposite / adjacent
tan ∅ = 20/8.2
tan ∅ = 2.4390243902
∅ = tan⁻¹ 2.4390243902
∅ = 67.7063708403
∅ = 67.71°
what is 4a^2 +1/4a^2 if 2a+1/2a = 8
Answer:
after cross multiplying is when u get 5a=16....then u divide by 5 throughout...also its best to convert 3.2 into fraction since the question is in fraction.....but whichever is still correct
hope its understood
A Ferris wheel can accommodate 35 people in 25 minutes. How many people can ride that Ferris wheel in 4 hours? What is the rate per hour? Please I need help
Answer:
336
Step-by-step explanation:
Number of people divide by minutes
35/25 =1.4
Then Change the 4 Hours to minutes.
Knowing that there 1 Hour = 60 Minutes
Thus, 4 x 60 = 240
Then 1.4 x 240 = 336
Hence, 336 people can ride that Ferris wheel in 4 hours.
[RevyBreeze]
What is the decimal form of 19/20
Answer: 0.95 or 95%
Step-by-step explanation:
Answer:
0.95
Step-by-step explanation:
The quantities x and y are proportional Find the constant of proportional (r) in the equation y=rx
x y
11 1 2/9
21 2 1/3
45 5
Answer:
It’s 7 or I could be 1/9
Step-by-step explanation:
Which equation matches the table of values?
Leonard makes a $3000 deposit for 15 years at a simple interest rate of 3%. What is the amount of interest earned?
Answer:
Options?
Step-by-step explanation:
Answer:
1350
Step-by-step explanation:
The formula says
Interest earned=deposited amount ×interest rate × time
Interest earned=3,000×0.03×15=1350
Which of the following slopes show that the set of points C(1, 1), D(3, -4), E(5, 8) are not collinear? 1/3, -5/3, -2/5 1/2, 3, 5 -1, 1/2, -3/5 6, -5/2, 7/4
Answer:
6, -5/2, 7/4
Step-by-step explanation:
The required slope that shows given points are not collinear is 6, -5/2, and 7/4.
What is the slope of the line?
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
m = (y₂ - y₁) / (x₂ - x₁) - - - - (1)
Substitute points C(1, 1), and D(3, -4) in the above equation 1,
m = -4 -1 / 3 - 1
m = -5/2
Substitute points D(3, -4) and E(5, 8) in the above equation 1,
m = 8 + 4 / 5 - 3
m = 12 / 2
m = 6
Substitute points C(1, 1) and E(5, 8) in the above equation 1,
m = 8 - 1 / 5 - 1
m = 7 / 4
Thus, the required slope that shows given points are not collinear are 6, -5/2, and 7/4.
Learn more about slopes here:
https://brainly.com/question/3605446
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1. Write the ratio in the simplest form. (1 point)
45:15
9:3
3:1
1:3
4:1
Answer:
45:15=9:3=3:1
9:3=3:1
3:1 stays the same.
1:3 stays the same.
4:1 stays the same.
The simplify ratios such as 45:15 and 9:3. The simplified form of 45:15 and 9:3 is 3:1. The correct option is B.
To write the ratio 45:15 in the simplest form, you have to divide both numbers by their greatest common divisor (GCD), which in this case is 15.
So, 45 divided by 15 is 3, and 15 divided by 15 is 1, which gives us the simplified ratio of 3:1.
[tex]\frac{45}{15} = \frac{3}{1}[/tex]
For the ratio 9:3, again, we divide both numbers by their GCD, which is 3, resulting in the simplified ratio 3:1.
The ratio 3:1 is already in its simplest form.
1:3 is the simplest form and 4:1 is the simplest fraction.
A dad buys a ball and a team cup for each of the 10 players on the dodgeball team. Each team cup costs $8.50. The dad spends a total of $279 for the balls and team cups. Write an equation that models the situation with u, the cost of one ball.
I don't know if its 279 = 8.50 + 10u Help
Step-by-step explanation:
shhhhh I don't want to go back into this country and climate it all in the world and bottom of all the sun and the world in which I am a place to go for a long period
You discovered 1000 grams of an unknown element called Coolium 23 that has a half life 23 days. How long will it take for you to have 600 grams remaining.
Answer:
13.8 days
Step-by-step explanation:
In this case we can solve it by means of a rule of three, knowing the amount of life for 1000 grams, it must be proportional for 600 grams, like this:
grams days
1000 23
600 x
x = 600 * 23/1000
x = 13.8
which means that for the 600 grams it would be an average life of 13.8 days.
What is a universal set
Answer:a universal set is the set containing all objects or elements and of which all other sets are subsets.
Step-by-step explanation:
Answer:
A set containing all objects or elements and of which all other sets are subsets.
Step-by-step explanation:
Out of the 30 days in June, you run 13 days and swim 6 days. You lift weights 7 days and ride a bike 4 days. If you make a pie chart to show this data, how many degrees of the circle should represent swimming?
Answer:
3. 72 degrees
Step-by-step explanation:
We can convert the values to percentage values and since a circle is 360°, we can multiply the percentages with 360° to get the degrees. The total of day is all the the things added up:
= 13+6+7+4=30
Percent swimming:
=(6/30) times 360= 72
Answer is 72 degrees
Answer:
Step-by-step explanation:
swim = 6/30= 0.2 -> 0.2*360 = 72 degree
run = 13/30= 0.433 -> 0.4333 *360 = 156 degree
lift weight = 7/30 = 0.23333 -> 0.23333 *360 = 84 degree
ride bike = 4/30 = 0.133333 -> 0.133333 *360 = 48 degree
Câte diagonale are un poligon cu 5 laturi, dar cu 6 laturi?
Your question isn't clear. But I infer this is the clear rendering of it;
How many diagonals does a polygon have with 5 sides, but with 6 sides?
Answer:
a. For 5 sides= 5
b. For 6 sides= 9
Step-by-step explanation:
Remember, this is the formula to calculate the number of diagonals of a polygon;
n (n-3) / 2 where n is the sides.
Thus,
for 5 sides= 5 (5-3) /2
= 5 (2) /2 = 10/2= 5
for 6 sides= 6 (6-3) /2
= 6 (3) /2 = 18/2= 9
To save for a car when he turns 18, Pascale deposited $500 each year into a savings account with a 7.5% interest rate compounded annually.
Using the formula A = P (1 + r) Superscript t, what is the value of the account at the end of the fifth year?
A.$3,071.92
B.$3,122.00
C.$3,851.77
D.$4,140.65
Answer:
$3122.00
Step-by-step explanation:
Since we have been given that
Initial amount deposited into a savings account each year = $500
Rate of interest compounded annually = 7.5%
Number of years = 5 years
So, Amount in the account at the end of the fifth year would be:
A = P( 1+r )^5} - 1
500{(1+7.5/100) - 1 }÷ ( 7.5/100)} (1+7.5/100)
500{( 1.075^5 -1/0.075} × 1.075
500( 1.4356 -1/0.075) × 1.075
500( 0.4356/0.075) × 1.075
500(5.80839)×1.075
= 3122.01
$3122.00
What is the solution to the equation below?
5 - n/2 = 12
Step-by-step explanation:
5 - n/2 = 12
10/2 - n/2 = 12
n = (12 × (-2)) + 10
n = (-24) + 10
n = -14
Let's prove it :
[tex]5 - ( - \frac{14}{2} ) \\ = \frac{10}{2} + \frac{14}{2} \\ = \frac{24}{2} \\ = 12[/tex]
Conclusion :
5 - n/2 = 12
5 - (-14/2) = 12
and
n = -14
Which Pythagorean identity is correct?
Answer:
2nd one is the correct answer
Step-by-step explanation:
[tex] { \tan}^{2} ( \theta) + 1 = { \sec}^{2} ( \theta) \\ [/tex]
Answer:
b
Step-by-step explanation:
What is the missing dimension of the reduced rectangle if the original rectangle is 17/8 by 11/6 and the reduced rectangle is 17/20 by x
Answer:
11/15
Step-by-step explanation:
Answer:
11/15
Step-by-step explanation:
Have a good day! <33333
Solve for X Tysm!! I need help ASAP
X-4/3 <= 5
Multiply both sides by 3:
X-4 <= 15
Add 4 to both sides:
X <= 19
The answer is the third one.
Eff scored a 23/25 on his math test, Maria scored 21/24 on her math test and Jake scored 17/20 on his math test. Who had the highest score? Explain how you know.
Answer:
Eff
Step-by-step explanation:
Fraction is a part of a whole, telling us how many parts of a whole we have. It can be converted to percentage or decimal.
Eff scored a 23/25 on his math test. Converting to percentage, eff score = 23/25 * 100% = 92%
Maria scored 21/24 on her math test. Converting to percentage:
Maria score = 21/24 * 100% = 87.5%
Jake scored 17/20 on his math test, converting to percentage:
Jake score = 17/20 * 100% = 85%
The person with the highest score has the highest percentage which is Eff with 92%.
Answer:
Eff had the highest score.
Step-by-step explanation:
The approach to determine who get the same score is converting each fraction to an arbitrary scale, which is 100 for this problem. Now, the conversions are presented below:
Eff
[tex]x = \frac{23}{25}\times 100[/tex]
[tex]x = 92[/tex]
Maria
[tex]x = \frac{21}{24}\times 100[/tex]
[tex]x = 87.5[/tex]
Jake
[tex]x = \frac{17}{20}\times 100[/tex]
[tex]x = 85[/tex]
Eff had the highest score.
solve 1/2n + 3 < 5 ??
Answer:
n<4
Step-by-step explanation:
Answer:
[tex]n < 4[/tex]
Step-by-step explanation:
[tex] \frac{1}{2} n + 3 < 5 \\ subtract \: 3 \: from \: both \: sides \\ \\ \frac{1}{2} n < 2 \\ divide \: both \: sides \: by \: \frac{1}{2} \\ \\ n < 4[/tex]
10% of 5000 is......
And 5% of 5000 is.....
Step-by-step explanation:
• 10% of 5000
[tex] = 10\% \times 5000 \\ = \frac{10}{100} \times 5000 \\ = 10 \times 50 \\ = 500[/tex]
So, 10% of 5000 is 500
• 5% of 5000
[tex] = 5\% \times 5000 \\ = \frac{5}{100} \times 5000 \\ = 5 \times 50 \\ = 250[/tex]
So, 5% of 5000 is 250
10% of 5000 is 500, and 5% of 5000 is 250. These calculations are done by converting the percentages into decimals and then multiplying by the total amount.
Write the percentage as a decimal: 10% = 0.10.Multiply the decimal by the total amount: 0.10 * 5000 = 500.Therefore, 10% of 5000 is 500.
To calculate 5% of 5000, you can take half of the 10% value or multiply 5000 by 0.05:
Write the percentage as a decimal: 5% = 0.05.Multiply the decimal by the total amount: 0.05 * 5000 = 250.Therefore, 5% of 5000 is 250.
Please answer CORRECTLY !!! Will mark brainliest !!!
Answer:
2
いたち うちあ
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
f(x) = 5x-3
Let x = 5
f(5) = 5*5-3
f(5) = 25-3
= 22
Pete is a very good student . The probability that he studies for his test and then passes it is 7/10 If the probability that Pete studies is 7/8 find the probability that Pete passes his test? given that he studied.
Answer:
The probability that Pete passes his test given that he studied = (8/10) = (4/5) = 0.80
Step-by-step explanation:
Let the event that Pete studies be S.
Let the event that Pete passes the test be P.
The probability that he studies for his test and then passes it is P(S n P) = 7/10
The probability that Pete studies is P(S) = 7/8
The probability that Pete passes his test given that he studied = P(P|S)
The conditional probability, P(A|B) is given mathematically as
P(A|B) = P(A n B) ÷ P(B)
So, the required probability, P(P|S) will be
P(P|S) = P(P n S) ÷ P(S)
P(P n S) = P(S n P) = (7/10)
P(S) = (7/8)
P(P|S) = P(P n S) ÷ P(S)
= (7/10) ÷ (7/8)
= (7/10) × (8/7)
= (8/10) = (4/5) = 0.80
The probability that Pete passes his test given that he studied = (8/10) = (4/5) = 0.80
Hope this Helps!!!
Y=1/2x-6
X=-4
What is the solution to the system of equations
A. (-8,-4)
B.(-4,-8)
C.(-4,4)
D.(4,-4)
Answer:
B. (-4, -8)
Step-by-step explanation:
Put -4 into the first equation where x is, then evaluate. You will find ...
y = (1/2)(-4) -6 = -2 -6 = -8
Then the point that satisfies both equations is ...
(x, y) = (-4, -8) . . . . matches choice B
___
You can eliminate choices A and D, because they don't have -4 for the x-value.
A quiz has eight multiple choice questions with four options for each ( A B C & D ) how many ways are there to answer the question
Answer:
1680 ways.
Step-by-step explanation:
This question is solved using Permutation formula.
Permutation formula is given as
nPr = n! / (n -r)!
In the above question we are to find how many ways we can answer 8 multiple choice questions with 4 options(A, B,C,D)
Therefore,
n = 8 multiple choice questions
r = 4 options
nPr = n! / (n - r)!
8P4 = 8! / ( 8 - 4) !
8P4 = 8! / 4!
8P4 = (8 × 7 × 6 × 5 × 4 × 3 × 2 × 1) / (4 × 3 × 2 × 1)
8P4 = 40320 / 24
8P4 = 1680 ways
Therefore, the number of ways to answer 8 multiple choice questions with 4 options (A, B, C, D) for each is 1680 ways.
Answer:
65,536 ways.
Step-by-step explanation:
The Fundamental Counting Principle states that:
"If decision M can be made m ways and decision N can be made n ways, then the two decisions can be made m⋅n ways"
Therefore, we can create a model of the eight questions by drawing eight blanks:
_ _ _ _ _ _ _ _
Then, filling in each "question" with the number of options for each, which is four:
4 4 4 4 4 4 4 4
And finally, we can multiply the fours together, which would be 4⋅4⋅4⋅4⋅4⋅4⋅4⋅4 or 4⁸, which is equal to 65,536.
I hope this helps! :D
— 3 — 5 — 6g = 11 – 3g
Answer:
- (19/3)
Step-by-step explanation:
-3-5-6g=11-3g
-8-6g=11-3g
-3g=19
g= - (19/3)
why is completing the square called 'completing the square'?
Answer:
I'm not too sure, since I'm doing the same thing in math now too. I think it's since you're adding another number that is a perfect square in order to factor the quadratic equation.
Step-by-step explanation:
Help please.........
Answer:
37
Step-by-step explanation:
The cosine of an angle is the length of the adjacent side, in this case x, divided by the length of the hypotenuse, in this case 85. So you can set up the following equation:
[tex]\cos 64.2^{\circ}=\dfrac{x}{85}[/tex]
[tex]x\approx 37[/tex] units
Hope this helps!