ISF YOU GET IT RIGHT I WILL NAME YOU BRAINLIST.
A sequence can be generated using a, = 60(1/2)"-1. What are the first four terms in the sequence? A 60, 120, 240, 480 B 60, 30, 15, 7.5 C С 60, 120, 180, 240 60, 90, 135, 202.5 ОА B. D
Answers
Answer:
C
Step-by-step explanation:
You just plug in the # in the sequence you wanna find,
n=1
60((1)/(2))^(1-1) = 60 (1st term)
--
n=2
60((1)/(2))^(2-1) = 30 (2nd term)
--
n=3
60((1)/(2))^(3-1) = 15 (3rd term)
--
n=4
60((1)/(2))^(4-1) = 7.5 (4th term)
Related Questions
A triangle has sides with lengths 8, 15, and 17.
1. Verify this is a Pythagorean Triple
2. Approximate the acute angles in this triangle
Answers
Yes, the given set of the sides of a triangle follows the Pythagorean Triple and the acute angles are 61.92° and 28.08°.
What is the Pythagorean Triple?Pythagorean triples are a²+b² = c² where a, b and c are the three positive integers. These triples are represented as (a, b, c). Here, a is the perpendicular, b is the base and c is the hypotenuse of the right-angled triangle.
Given that, A triangle has sides with lengths 8, 15, and 17.
1) Checking for Pythagorean triples;
17² = 289
8²+15² = 225+64 = 289 = 17²
∴ 17² = 8²+15²
Since, they are following the Pythagoras theorem so, they are Pythagorean triples.
2) Calculating the acute angles:- [please refer to attached figure]
Let 15 be the perpendicular, 8 be the base and 17 is the hypotenuse,
sinC = 15/17 (sine of an angle is ratio of perpendicular to hypotenuse)
∠ C = sin⁻¹(15/17)
∠ C = 61.92°
∠ A = 90°-61.92°
∠ A = 28.08°
Hence, the given set of the sides of a triangle follows the Pythagorean Triple and the acute angles are 61.92° and 28.08°.
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Please help me.......
Answers
Answer:
456 unit I hope it is a right answers
help the question is
"Which expression represents the area, in square feet, of the recreation room in terms of x?"
Answers
Answer:
vebjsjjssjvtjkskskkskskkkk
Step-by-step explanation:
yzuduudjizjdayayay ayayay ayayay
Which measurement has the LEAST capacity?
2 gallons
7 quarts
19 pints
30 cups
Answers
Answer:
30 cups
Step-by-step explanation:
only equal to 15 pints
Choose the linear Inequality that describes the graph. The gray area represents the shaded region.
Answers
Answer:
3
Step-by-step explanation:
the y axis
Grace is going to invest in an account paying an interest rate of 3.8% compounded
continuously. How much would Grace need to invest, to the nearest cent, for the
value of the account to reach $46,000 in 13 years?
PLEASE HELP ME URGENT
Answers
Answer:
P≈28068.32
Step-by-step explanation:
Grace needs to invest, to the nearest cent, for the value of the account to reach $46,000 in 13 years is 27705.78944.
We have given that,
Grace is going to invest in an account paying an interest rate of 3.8% compounded continuously.
We have to determine how much would Grace need to invest, to the nearest cent, for the value of the account to reach $46,000 in 13 years.
What is the formula of a compounded continuously?
[tex]A=Pe^{rt}[/tex]
A=46000, t=13 ,r=0.038
[tex]Pe^{0.039\left(13\right)}=46000[/tex]
[tex]Pe^{0.039\left(13\right)}=46000[/tex]
[tex]\frac{Pe^{0.039\cdot \:13}}{e^{0.507}}=\frac{46000}{e^{0.507}}[/tex]
[tex]P=\frac{46000}{e^{0.507}}[/tex]
[tex]\quad P=27705.78944[/tex]
Therefore, Grace needs to invest, to the nearest cent, for the value of the account to reach $46,000 in 13 years is 27705.78944.
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Please help
Due today
Answers
Answer:
sorry I've confused myself now and I don't want to give you a wrong answer
Step-by-step explanation:
Can I have help with number 5
Answers
Answer:
1
Step-by-step explanation:
2a-21 / b
2(4)-21/3
8-7=1
Answer:
1
Step-by-step explanation:
(FIRST THING FIRST REMEMBER PEMDAS)
First you rewrite the number sentence with the clues you got.
2 x 4 - 21 / 3
Then you do 2x4 to get 8, then you rewrite the # sentence again
8 - 21 / 3
Next you divide 21 / 3 to get 7 and rewrite the sentence again
8-7
FINALLY you subtract 8-7 to get 1
by what percent would a number change if it increased by 5% and the result was also increased by 5%
Answers
Answer:
10.25%
Step-by-step explanation:
imagine the number is 100. Increase that by 5% so multiply 100 by 105%. This equals 105. Then increase 105 by 5% so multiply 105 by 105%. This equals 110.25. The original number was 100 so 110.25-100= 10.25. 10.25/100= 10.25%
Hope this is correct :) I'm rly not sure now
Answer:
10%
Step-by-step explanation:
find the value of x
a. 31
b. 46
c. 52
d. 107
Answers
4x-101=2x+3
2x =104
X=52
#2) Which of the following would be considered a financial advantage of renting a
house or apartment?
Renters receive no federal income tax benefits.
Renters do not have the maintenance costs associated with home ownership.
Renters do not build equity on the house they rent.
O None of the above
Answers
Home owners have to pay for all costs & repairs needed which can be $$$$
Renters do not have the maintenance costs associated with home ownership. Therefore, option B is the correct answer.
What is tax?In mathematics, the tax calculation is related to the selling price and income of taxpayers. It is a charge imposed by the government on the citizens for the collection of funds for public welfare and expenditure activities. There are two types of taxes: direct tax and indirect tax.
Both renting and buying have their financial advantages, and owning a home isn’t right for everyone.
Unlike homeowners, renters have no maintenance costs or repair bills and they don't have to pay property taxes.
Amenities that are generally free for renters aren't for homeowners, who have to pay for installation and maintenance.
Renters do not have the maintenance costs associated with home ownership.
Home owners have to pay for all costs & repairs needed.
Therefore, option B is the correct answer.
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Find the number that belongs
in the green box.
322
7
125°
[?]
Round your answer to the nearest tenth.
Answers
Answer:
2.7
Step-by-step explanation:
322/7=46
46*125=2.71739
round off
2.7
Patrick will borrow $4300 at 11.5% APR. He will pay it back over 5 years.
What will his monthly payment be? (Use the table.)
$94.56
$96.79
$123.21
$141.81
Answers
Answer:
94.56
Step-by-step explanation:
because 94,56 x 11.5 x 5 =4300
Answer:
Step-by-step explanation:
Equal installments can be found by
I=P((r-1)/(r^n-1)+(r-1)) (note monthly rate is r/12, r is about 1.00958)
I=4300((1.00958-1)/(1.00958^60-1)+0.00958)
I=$94.56
IN 2013 The number of students in a small school is 284. it is estimated that the student population will increase by 4% every year. write formula for student population and estimate student population in 2020
Answers
Answer:
Amount = Initial value × (1 + rate of interest)^years and 374
Step-by-step explanation:
The formula to determine the student population and the estimated student population is given below:
As we know that
Amount = Initial value × (1 + rate of interest)^years
= 284 × (1 + 0.04)^7
= 284 × 1.04^7
= 373.72
= 374
PLEASE HELP ME :’)
determine the value of X
Answers
Answer:
x = 26degrees
Step-by-step explanation:
The sum of all angles in any triangle is 180degrees. The given figure is a triangle, therefore, one can apply this property to the given triangle. Form an equation using this given information,
(2x) + (3x) + (50) = 180
Simplify,
5x + 50 = 180
Inverse operations,
5x + 50 = 180
-50 -50
5x = 130
/5 /5
x = 26
A tree initially measures 40 1/2 feet tall. Over the next 7 1/2 years, it grew to a final height of 57 feet. During those 7 1/2 years, what was the average yearly growth rate of the height of the tree?
Answers
Answer:
OK I will dot this after getting 10 followers
Answer:
deez
Step-by-step explanation:
Copper costs £5 per kilogram.
Zinc costs £3.20 per kilogram.
Copper and zinc are mixed in the ratio 4:1 to make brass.
Work out the cost of 7 kilograms of brass
Answers
Answer:
4x(5)+1×(3.20)= 20+3.20=23.20
Step-by-step explanation:
The cost of 7kg of brass is £32.48.
What is ratio?
A ratio is a comparison of two or more numbers that indicates their sizes in relation to each other.
According to the given question.
Cost of one kg of copper = £5
Cost of one kg of zinc = £3.20
Also, copper and zinc are mixed in the ratio 4:1.
Let the quantity of copper be 4x and the quantity of zinc 1x.
Weight of brass = 7kg
⇒ 4x + 1x = 7
⇒ 5x = 7
⇒ x = [tex]\frac{7}{5}[/tex]
⇒ x = 1.4
Weight of copper, 4x = (1.4)(4) = 5.6kg
Weight of zinc, 1x = (1) ×(1.4) = 1.4kg
Therefore,
The cost of 7kg of brass
= (5.6)×(£5) + (1.4)(£3.20)
= 28 + 4.48
= £ 32.48
Therefore, the cost of 7kg of brass is £32.48
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193 students are attending the next reward trip. There are eight drives available and two types of vehicles,
school buses and minivans. The school buses seat 51 people each and the minivans seat 8 people each. How
many buses and minivans will be needed?
Answers
Answer:
3 busses and 5 vans
Step-by-step explanation:
3 x 51 = 153
193 - 153 = 40
40 / 8 = 5
If the length of a rectangle is decreased by 6 cm and the width is increased by 3 cm, the result will be a square, the area of which will be 27 cm^2 smaller than the area of the rectangle. Find the area of the rectangle. PLZZZZZZ HELP WILL MAKE BRAINLIEST!!!
Answers
Answer:
Step-by-step explanation:
L-6=W+3
L=W+9
LW-(L-6)(W+3)=27, using L from above makes this
W(W+9)-(W+9-6)(W+3)=27
W^2+9W-(W+3)(W+3)=27
W^2+9W-W^2-6W-9=27
3W-9=27
3W=36
W=12, since L=W+9
L=12+9=21
A=LW
A=21(12)
A=252 cm^2
The area of the rectangle is 252 cm^2.
Calculation of the area of the rectangle:Since
If the length of a rectangle is decreased by 6 cm and the width is increased by 3 cm.
So it can be like
L-6=W+3
L=W+9
Now
LW-(L-6)(W+3)=27
So,
W(W+9)-(W+9-6)(W+3)=27
W^2+9W-(W+3)(W+3)=27
W^2+9W-W^2-6W-9=27
3W-9=27
3W=36
Also,
W=12, since L=W+9
L=12+9=21
So,
A=LW
A=21(12)
A=252 cm^2
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Reduce to simplest form -9/11 - (-7/4)
Answers
Answer:
74 is already in the simplest form. It can be written as 1.75 in decimal form (rounded to 6 decimal places).
Step-by-step explanation:
Suppose you fill the cone with water and empty the water into the cylinder. How many times will you empty the water from the cone into the cylinder.
A.3 TIMES B.6 TIMES C.9 TIMES
Answers
Answer:
I believe around 3 times
Step-by-step explanation:
Because if we round we would get
150÷50=3
Hope this helps!!
3.6 + t = 4.5
please answer this
Answers
Answer: t= 0.9
Step-by-step explanation:
3.6+t=4.5
Subtract 3.6 from both sides
This is hella easy got more like these if so keep em coming
PLS PLS PLS PLSSSSS HELPPP
Answers
Answer:
The regular bottle holds 9 fl oz of sun screen
Step-by-step explanation:
75% of 12 = 9
Select the correct answer.
Which statement about the function represented by this graph is true?
A. The function has an inverse because it passes the vertical line test.
B. The function does not have an inverse because it never crosses the x-axis
C. The function has an inverse because it passes the horizontal line test.
D. The function does not have an inverse because it does not pass the horizontal line test.
Answers
Answer:
your answer will be C. The function has an inverse because it passes the horizontal line test.
bye have a nice day ^_^
C. The function has an inverse because it passes the horizontal line test.
What is function ?A function is a rule or a relation that associates each element of a non-empty set A, to at least a single element of another non-empty set B.
The relation f from a domain set to co-domain set is called function.
Example : f = {(x, y) | for all x∈X & y∈Y}
A relation becomes function when every element of domain has one and only one image in co-domain.
What is inverse of function ?If f is a function which is one-one as well as on-to, i.e, if the function is bijective, then the inverse of this function exists and the inverse is then denoted by [tex]f^{-1\\}[/tex]
Inverse function of a function always undoes the operations of the function f.
f(a) = b if and only if f⁻¹ (b) = a , where a is from domain & b is from co-domain set.
Which is the correct option ?From the above descriptions, we can see that, since the function passes through the horizontal line, so it has an inverse.
Hence the option C is the correct one.
C. The function has an inverse because it passes the horizontal line test.
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PLEASE HELP!!!!!!!!! I NEED IT
The angle of elevation from a point on the ground to the top of a tower is 18°. The base of the tower is 100 feet from the point on the ground. Find the height of the tower. Round to the nearest tenth of a foot.
Answers
Answer:
32.5 feet
Step-by-step explanation:
This situation forms a right triangle. We are given the distance from the base of the tower (long leg of the triangle) and are asked to find the height (short leg of the triangle).
With this information, we can use the tan ratio, opposite over adjacent, to find the height of the tower.
tan 18 = [tex]\frac{x}{100}[/tex]
Multiply each side by 100:
(100) tan 18 = x
Simplify and round to the nearest tenth:
32.49 = x
32.5 = x
So, the height of the tower is approximately 32.5 feet
Bro pls help em bro pls help me bro
Answers
Answer:
Step-by-step explanation:
Which two types of lines only meet inside the triangle?
Answers
Answer:
angle bisectors and opposite side perpendiculars
Step-by-step explanation:
15) Volume of a cuboid with base area 500 m2 and height 4m is. with steps
Answers
Answer:
Volume of cuboid = 2000 m³
Step-by-step explanation:
Given the following data;
Base area = 500 m²
Height = 4m
To find the volume of a cuboid;
The volume of a cuboid is given by the formula;
Volume of cuboid = length * breadth * height
But remember, base area = length * breadth
Therefore, the volume of the cuboid becomes;
Volume of cuboid = base area * height
Substituting into the equation, we have;
Volume of cuboid = 500 * 4
Volume of cuboid = 2000 m³
A local hamburger shop sold a combined total of 486 hamburgers and cheeseburgers on Sunday. There were 64 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Sunday?
Answers
Answer:
Step-by-step explanation:
h and c are the numbers of hamburgers and cheeseburgers, respectively.
“a combined total of 486 hamburgers and cheeseburgers”
h + c = 486
“64 fewer cheeseburgers sold than hamburgers”
c = h - 64
Substitution:
h + (h-64) = 486
2h = 550
h = 275
275 hamburgers were sold
What is the measure of ∠UVW in the triangle shown?
Question 19 options:
A)
140°
B)
50°
C)
60°
D)
10°
Answers
Answer:
50°
Step-by-step explanation:
Given that a triangle measures 180°.
∠U =40°
∠W=90°
Sum:130°
180°-130°=50°