Answer:
32 × 10^(10k)
Step-by-step explanation:
y = 16 x 10^8k
y^5/4 = ⁴√y^5
= ⁴√16^5 x 10^40k
= ⁴√2^20 x 10^40k
= 2^5 × 10^10k
= 32 x 10^(10k)
A cylinder has a base diameter of 10centimeters and a height of 7 centimeters. What is its volume in cubic centimeters, to nearest tenths place
Answer:
549.85cm^3
Step-by-step explanation:
Given data
Diameter=10cm
radius= 5cm
Height= 7cm
The expression for the volume of cylinder is given as
Volume= πr^2h
Substitute
Volume= 3.142*5^2*7
Volume= 3.142*25*7
Volume= 549.85cm^3
Hence the volume of the cylinder is 549.85cm^3
I want the answer fast I don’t have time please
Answer:
The difference is 4.
Step-by-step explanation:
The median of the box and whisker plot is always the line found inside of the box.
In class A, the median is 56.
In class B, the emdian is 52.
Subtract one from the other:
56-52=4
So the difference of medians is 4.
Hope this helps!
GI = 15, HI = 5b +10, GH = 2b - 5.
Find the value of b and the length of HI
Step-by-step explanation:
we cannot see any graphic or so.
no clue, what these sides (?) are, and how they are related to GI and to each other.
so, it is not possible to give you an answer.
Classify the following triangle. Check all that apply.
A. Isosceles
B. Equilateral
C. Obtuse
D.Right
E Scalene
F. Acute
Answer:
I will list main feature for each property and you can choose. You can comment if you want to check or have questions
Step-by-step explanation:
Isosceles - two sides are equal
Equilateral - all sides are equal
Obtuse - one angle is greater than 90 degrees
Right - one angle is equal to 90 degrees
Scalene - none of the sides is equal
Acute - all angles are less than 90 degrees
Go down the list and see if it's true or false about the given triangle
a rectangular prism has a length of 12.5 ft, and a width of 9ft , and a height of 6.5 feet. what is the volume of the prism
Answer:
731.25
Step-by-step explanation:
12.5 times 9 times 6.5 =
731.25
What is the length of PQ⎯⎯⎯⎯⎯?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
UPDATE- IT'S 5.2
Answer: ≈ 5.2
Step-by-step explanation:
You're gonna want to use the Law of Cosines to solve:
c² = a² + b² -2abcos(R)
c² = 6² + 9² - 2(6)(9)cos(34°)
c² = 36 + 81 - 108cos(34°)
c² = 117 - 108(.82904)
c² = 27.46368
√c² = √27.46368 => 5.2405 = 5.2
If line segment PB = 12 cm, the area of sector ACB = ? cm2 (rounded
to the nearest cm2).
Answer:
:)
Step-by-step explanation:
PB , radius = 12cm
[tex]Area = \pi r^2 \frac{\theta}{360}[/tex]
[tex]= \pi \times 12^2 \times \frac{74}{360}\\\\=92.99 \ cm^2\\= 93 \ cm^2[/tex]
20 increased by ??? is 35
options are
125%
200%
75%
150%
Answers? Please Fast
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9. Rent in a stand-alone store is $1,050 per month. If the projected customer traffic per
month is 7,400, what is the rent per customer
Answer:
8,450
Step-by-step explanation:
7.400
[tex]+[/tex]1,050
8 , 4 5 0
Urgent I need help please
36°
Step-by-step explanation:
because b is not a number
Answer:
D) 54°
Step-by-step explanation:
b + 36 = 90(bc of the right angle sign)
=> b = 90 - 36
=> b = 54°
Mrs. C loans Mr. R $50 000 to start his magic shop. She charges him 20% interest compounded anually. how much will he own her in FIVE years? Show your work including the formula for calculating compound interest.
Answer:
2,000
Step-by-step explanation:
Answer: it should be 100,000
Step-by-step explanation:
If I am doing this right than 20% of 50,000 is 10,000. That will be 50,000. So 50,000+50,000=100,000.
Help me solve this for geometry!!
Answer:
The chord is drawn below
Step-by-step explanation:
A mattress store in Stafford purchased a mattress at a cost of $255 and marked it up 100%. Later on, Cassie bought the mattress. If the sales tax in Stafford is 11%, how much did she pay in all?
Answer: 278.18
sorry if it's wrong
Step-by-step explanation: if you divide 255 by 11 you get 23.18181818181
so if you simplify you get 23.18 so that is the tax plus the original payment which is 278.18
Answer: The correct answer is $566.10
Step-by-step explanation: IXL
5.
What is the solution of -17 = -2y + 13 – 8y?
Answer:
3
Step-by-step explanation:
-17 = -2y + 13 - 8y
-17 = -10y + 13
-30 = -10y
3 = y
y = 3
Answer:
y = 3
Step-by-step explanation:
- 17 = - 2y + 13 - 8y
- 10y + 13 = - 17
- 10y + 13 - 13 = - 17 - 13
- 10y = - 30
- 10y ÷ - 10 = - 30 ÷ - 10
y = 3
Calculate cos0 to two decimal places.
3.
Find the value of x. If necessary, round to the nearest tenth.
A. 6.9 in.
B. 11.7 in.
C. 13.7 in.
D. 9.7 in.
Answer:
D. 9.7 in.
Step-by-step explanation:
the picture in the attached figure
we know that
area of the triangle is equal to
in this problem
A=47 in²
b=x
h=x
so
therefore
the answer is
x=9.7 in
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
What number makes the expression a perfect square? X squared -12x +
Answer:
36
Step-by-step explanation:
x²-12x+36 = (x-6)(x-6)
There are
15
apples in a basket.
6
of these apples are green. The rest of them are red.
(a) What is the ratio of all apples in the basket to red apples?
(b) What is the ratio of red apples to green apples?
Answer:
3/5 3/2
Step-by-step explanation:
6 Green and 9 Red
a.
Out of 15, 6 are green, rest are red.
No. of red apples = 15 - 6 = 9
Ratio of all apples in the basket to red apples
= Total no. of apples : No. of apples that are red
= 15 : 9
= 5 : 3
b.
No. of apples that are green = 6
No. of apples that are red = 9
Ratio of red apples to green apples
= No. of apples that are red : No. of apples that are green
= 9 : 6
= 3 : 2
Helppppppppppppppppppp I’ll mark you brainlist don’t respond if you’re going to put something random I will report you :)
Answer:
slop:1
y-intercept: (0,6)
Step-by-step explanation:
don't mind that other stuff!!
Simplify 6f+5g-3f+3g
Answer:
3f+8g
Step-by-step explanation:
Answer:
3f + 8g
Step-by-step explanation:
6f + 5g - 3f + 3g
Combine like terms. In essence, if the term has the same variable (letter part) then perform the operation between two coefficients. The final answer should compose of two parts, each with a different variable.
6f + 5g - 3f + 3g
Organize this expression such that the like terms are next to each other,
6f - 3f + 5g + 3g
Simplify,
3f + 8g
Since the terms are unlike, one cannot simplify any further.
Select the correct answer.
What is the value of g(2)
Answer:
1
answer is D
Step-by-step explanation:
we must calculate it from this equation :
x³ -9x²+27x-25 then
[tex] {2}^{3} -( 9 \times 4 )+ (27 \times 2) - 25 = 1[/tex]
x^2+y^2-11-10x=0 is the equation of a circle, which is the equation in standard form?
Answer:
3) (x-5)^2+y^2=36
Step-by-step explanation:
What is the width of the rectangular
sheet of paper, given its length is 10
cm? Use =
22
7
Solve for the value of x.
Answer : y=8[tex]\sqrt{3}[/tex] ; x=16
Step-by-step explanation: in a triangle with 30,60,90 gr, there is the property of the smallest cathet A(opposite the angle 30 ) and the other cathet (opposite the angle 60 )A√3 and the hypotenuse is 2A ) then in our case a =8 of which y=a√3=8√3 and x=2a=16
Paul wants to buy a car. He needs to take out a loan for $7000. The car salesman offers him a loan with an interest rate of 8%, compounded annually. Paul considers two options to repay the loan.
Option 1: Pay $200 each month, until the loan is fully repaid
Option 2: Make 24 equal monthly payments.
a. Use option 1 to calculate
the number of months it will take for Paul to repay the loan.
b. Use option 1 to calculate the total amount that Paul has to pay.
c. Use option 2 to calculate the amount Paul pays each month.
d. Use option 2 to calculate the total amount that Paul has to pay.
e. Give a reason why Paul might choose option 1.
f. Give a reason why Paul might choose option 2.
Answer:
a. It will take approximately 40 months
b. The total amount Paul has to pay is approximately $8,000
c. The amount Paul pays each month is approximately $316.59
d. The amount Paul has to pay is approximately $7,598.16
e. Lower monthly payment
f. Lower total payment amount (amount to be paid)
Step-by-step explanation:
a. The loan amount, PV = $7,000
The annual interest rate, r = 8%
Option 1; The amount of equal monthly payment to repay the loan = $200
Option 2; The number of equal monthly payment to repay the loan = 24
The formula for the present value of an annuity is given as follows;
[tex]PMT = \dfrac{\dfrac{r}{12} \times PV}{1 - \left (1 + \dfrac{r}{12} \right)^{-n}}[/tex]
Where;
PMT = The monthly payment
n = The number of months
Where PMT = $200, we have;
[tex]200 = \dfrac{\dfrac{0.08}{12} \times 7,000}{1 - \left (1 + \dfrac{0.08}{12} \right)^{-n}}[/tex]
[tex]1 - \dfrac{\dfrac{0.08}{12} \times 7,000}{200} = \left (1 + \dfrac{0.08}{12} \right)^{-n}[/tex]
[tex]1 - \dfrac{7}{30} = \dfrac{23}{30} = \left ( \dfrac{151}{150} \right)^{-n}[/tex]
[tex]-n = \dfrac{ ln \left(\dfrac{23}{30} \right)}{ln\left(\dfrac{151}{150} \right) } \approx -39.988[/tex]
∴ The number of months it will take for Paul to repay the loan, n ≈ 39.988 ≈ 40 months
b. The total amount Paul has to pay, A = PMT × n
Therefore, b plugging in the values of PMT, and 'n', we get;
A ≈ $200 × 40 = $8,000
c. Using option 2, we have;
n = 24
Therefore;
[tex]PMT = \dfrac{\dfrac{0.08}{12} \times 7,000}{1 - \left (1 + \dfrac{0.08}{12} \right)^{-24}} \approx 316.59[/tex]
The monthly payment, PMT ≈ $316.59
d. The total amount Paul has to pay using option 2, A ≈ 316.59 × 24 = 7,598.16
The total amount Paul has to pay using option 2, A ≈ $7,598.16
e. A reason why Paul might choose option 1 is that option 1 offers lower monthly payment
f. A reason why Paul may choose option 2 is that option 2 offers a lower total amount that he has to pay.
A) It will take 48 months for Paul to repay the loan.
B) Paul will have to pay $ 9,523.42.
C) Paul should pay $ 340.20 per month.
D) Paul will have to pay $ 8164.80.
E) Paul might choose option 1 because his monthly payments would be lower and, therefore, more accessible.
F) Paul might choose option 2 because his total payout would be much less than option 1.
Since Paul wants to buy a car, and he needs to take out a loan for $ 7000, and the car salesman offers him a loan with an interest rate of 8%, compounded annually, and Paul considers two options to repay the loan (Option 1: Pay $ 200 each month, until the loan is fully repaid, and Option 2: Make 24 equal monthly payments), for:
A) Use option 1 to calculate the number of months it will take for Paul to repay the loan. B) Use option 1 to calculate the total amount that Paul has to pay. C) Use option 2 to calculate the amount Paul pays each month. D) Use option 2 to calculate the total amount that Paul has to pay. E) Give a reason why Paul might choose option 1. F) Give a reason why Paul might choose option 2.
The following calculations must be performed:
A) 7000 x 1.08 ^ 4 = 9,523.42
200 x 12 x 4 = 9600
Therefore, it will take 48 months for Paul to repay the loan.
B) Paul will have to pay $ 9,523.42.
C) 7000 x 1.08 ^ 2 = 8,164.80
8,164.80 / 24 = 340.20
Therefore, Paul should pay $ 340.20 per month.
D) Paul will have to pay $ 8164.80.
E) Paul might choose option 1 because his monthly payments would be lower and, therefore, more accessible.
F) Paul might choose option 2 because his total payout would be much less than option 1.
Learn more about maths in https://brainly.com/question/26050723
Jaxon is traveling from Portland, Oregon to Denver, CO. If he were traveling by car, he would drive 1000 miles east and 575 miles south. What distance, to the nearest tenth of a mile, would he travel if he took a direct flight from Portland to Denver?
1153.5 miles
1575 miles
425 miles
818.2 miles
Answer:
1153.5 miles (first answer choice)
Step-by-step explanation:
'1000 miles east' is the change in x ('the run'), and '575 miles south' is the change in x (the 'rise'). Since these two vectors form a right angle, we can immediately apply the Pythagorean Theorem without worrying about signs:
d = √(1000² + 575²) = 1153.5 miles (first answer choice)
Given that f(x) = 4x + 5 and g(x) = x2 - 2x - 2, find (f + g)(x).
A) (f + g)(x) = x2 + 2x+3
B) (f + g)(x) = x2 + 6x+ 3
C) (f + g)(x) = -x2 + 6x + 7
D) (f + g)(x) = – x2 + 2x - 7
Answer:
A
Step-by-step explanation:
We are given the two functions:
[tex]f(x)=4x+5\text{ and } g(x)=x^2-2x-2[/tex]
And we want to find:
[tex](f+g)(x)[/tex]
This is equivalent to:
[tex]=f(x)+g(x)[/tex]
Substitute:
[tex]=(4x+5)+(x^2-2x-2)[/tex]
Rearrange:
[tex]=(x^2)+(4x-2x)+(5-2)[/tex]
Combine like terms. Hence:
[tex](f+g)(x)=x^2+2x+3[/tex]
Our answer is A.
What is the coefficient in the following expression? 5a2-7
Answer:
coefficient = 5
Step-by-step explanation: