Given:
Initial amount = 8
To find next week's amount, we multiply this week's amount by 4.
To find:
A formula that gives the amount A after T weeks.
Solution:
We have,
Initial amount = 8
According to the question,
Amount of next week = 4 × Amount of this week
Amount after one week is
[tex]A=4\times 8[/tex]
Amount after two week is
[tex]A=4\times (4\times 8)[/tex]
[tex]A=4^2\times 8[/tex]
Amount after T week is
[tex]A=4^T\times 8[/tex]
[tex]A=8(4)^T[/tex]
Therefore, the required formula that gives the amount A after T weeks is [tex]A=8(4)^T[/tex].
A football team loses 2 yards every 5 minutes. How many yards did the team lose after 15 minutes?
Write a recursive formula and an explicit formula for the following arithmetic sequence: -1,6,13,20,27
Answer:
Recursive formula is: [tex]a_1=-1 ; \ \ a_n=a_{n-1}+7[/tex]
Explicit formula is: [tex]a_n=7n-8[/tex]
Step-by-step explanation:
We need to find recursive formula and explicit formula for arithmetic sequence -1,6,13,20,27
In the given sequence First term a₁= -1
Common difference d = 7
Finding Recursive Formula
The recursive formula is of type:[tex]a_1= First \ term[/tex] and [tex]a_n=a_{n-1}+d[/tex]
Since the First term a₁ is -1 and common difference d is 7 so, the recursive formula for given arithmetic sequence will be:
[tex]a_1=-1 ; \ \ a_n=a_{n-1}+7[/tex]
Finding Explicit Formula
The explicit formula is of type: [tex]a_n=a_1+(n-1)d[/tex]
We have
First term a₁= -1
Common difference d = 7
So, explicit formula will be:
[tex]a_n=-1+(n-1)7\\a_n=-1+7n-7\\a_n=7n-8[/tex]
So, explicit formula is: [tex]a_n=7n-8[/tex]
Which equation represents Which equation represents the vertical line passing through (1,-9)?
A.
x = -9
B.
x= 1
C.
y=-9
D. y=1
Equation x = 1 represents the vertical line passing through (1 ,-9).
What is equation of line ?" Equation of a line is defined as an algebraic expression which is represented by linear equation in two variables with highest degree 1. Minimum two coordinates required to draw a line."
According to the question,
Coordinates in the plane represented by (x, y)
We have
Line passing through the point = (1 ,-9)
x = 1 for different values of y represents a line perpendicular to x-axis.
Therefore,
Vertical line passing through (1, -9) is equals x = 1.
Hence, Option(B) is the correct answer.
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Identify the like terms in the expression below: 6w2+11w+8w2−15w
Answer:
14w 2 − 4w
Step-by-step explanation:
anju plots points showing equivalent ratios on the coordinate plane below
Answer:
15
Step-by-step explanation:
y = 3x. How do you graph it???
Answer:
If you go to desmos.com, select the graphing calculator, and enter in y = 3x you should be able to see how it's graphed! Hope this helps!
Answer:
(0, 0) and (1, 3)
happy to help!
An employee earned $21,871 this year. This was a raise of 4% over last year. What was his salary last year? Round to the nearest dollar, if necessary.
O A. $21,784
O B. $21,030
OC. $21,867
OD. $20,996
O E. None of these
Answer:
D
Step-by-step explanation:
21,871 x 0.96 = 20,996
The sum of half of a number and 49 is 2 whole 1/4 0f the number. Find the number. *
3 points
a) 28
c) 24
b) 26
choose the correct answer from the given choices
Answer:
28
Step-by-step explanation:
let the missing number be x
x÷2+49=2¼x
49=9/4x-x/2
lcm=4
9x-2x/4
49=7x/4
49×4=7x
196=7x
divide both sides by 7
196/7=x
therefore 28=x
The manufacturer of a certain brand of lightbulbs claims that the variance of the lives of these bulbs is 4100 square hours. A consumer agency took a random sample of 26 such bulbs and tested them. The variance of the lives of these bulbs was found to be 5900 square hours. Assume that the lives of all such bulbs are (approximately) normally distributed. Test at the 20% significance level whether the variance of such bulbs is different from 4100 square hours. a)The value of the test statistic x is 15.743; we fail to reject the null hypothesis. b)The value of the test statistic x is 32.859; we fail to reject the null hypothesis. c)The value of the test statistic y is 32.859; we reject the null hypothesis. d)The value of the test statistic is 35.976; we fail to reject the null hypothesis. e)The value of the test statistic is 15.743; we reject the null hypothesis. f)The value of the test statistic x is 35.976; we reject the null hypothesis.
Answer:
124345
Step-by-step explanation:
A local hamburger shop sold a combined total of 762 hamburgers and cheeseburgers on Friday. There were 62 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Friday?
Answer:
1586
Step-by-step explanation:
If the area of the rectangle is(xA^3−4x^2−15x+21) and the width is (x-6), what is the length?
Answer:
hmm, imma have to do the problem
Step-by-step explanation:
6 3/4 plus 2 1/4 divided by 7/8
Answer: 72 over 7
Step-by-step explanation: Hoped this helped you
Answer:
[tex]6 \frac{3}{4} + 2 \frac{1}{4}[/tex] × [tex]\frac{8}{7}[/tex]
Decimal Form: 9.32
Step-by-step explanation
Please help its important!!
Triangle ABC in the figure above represents the area serviced by a shipping company that plans to build a distribution center at the incenter of the triangle located at point E. A circle is constructed to represent the location of the center. The diameter of the circle is 28 miles. The existing road is perpendicular to the incenter and the company is looking to build 2 more perpendicular roads but connecting the other 2 sides of the triangle. How many more miles of road will be needed?
Select one:
A. 28
B. 34
C. 43
D. 56
Answer:
A. 28
Step-by-step explanation:
A. 28
step 1.
We know that the diameter of the circle inscribed within the triangle is 28 miles, and we know that E is the incenter of triangle ABC.
step 2.
Next, we learned that the perpendicular legs from the incenter to the sides of the triangle are congruent, and we know that the radius of a circle is 1/2 of the diameter of the circle.
step 3.
Since the diameter of the circle is 28, we know the distance of segment DE is 14. Next, we know the perpendicular legs are equal to segment DE. Thus, we can solve for the amount of additional miles of road by writing 14 + 14 = 28.
PLEASE HELP!!!
Which expression is equivalent to 4sin^2(x) - 8sin^2(x/2)
Answer:
4(sin^2(x) -2sin^2(x/2))
Step-by-step explanation:
Matter of factorising
Answer:
It is 4(cos(x)-cos^2(x))
Step-by-step explanation:
I used an app on chegg and found that this is the only answer that is equivalent
A rectangle is constructed with its base on the x-axis and two of its vertices on the parabola yx. What are the dimensions of the rectangle with the maximum area? What is that area?
Answer:
The answer is below
Step-by-step explanation:
The question is not complete, the complete question is:
A rectangle is constructed with its base on the x-axis and two of its vertices on the parabola y 81-x², what are the dimensions of the rectangle with the maximum area? what is the area?
Solution:
Given the parabola:
y = 81 - x²
Let the points (a,0) and (-a, 0) be points on the axis, this points touch the parabola at (a, 81 - a²) and (-a, 81 - a²).
Points (a,0), (-a, 0), (a, 81 - a²), (-a, 81 - a²) form the rectangle.
The length of rectangle = distance between (a,0) and (-a, 0) or between (a, 81 - a²) and (-a, 81 - a²) = 2a
The breadth of rectangle = distance between (a,0) and (a, 81 - a²) or between (-a, 0) and (-a, 81 - a²) = 81 - a²
Area of rectangle (A) = length × breadth = 2a × (81 - a²) = 162a - 2a³
A = 162a - 2a³
The maximum area is at dA / da = 0
dA / da = 162 - 8a² = 0
162 - 6a² = 0
6a² = 162
a² = 27
a = 5.2 units
Length = 2a = 2(5.2) = 10.4 units
Breadth = 81 - a² = 81 - 5.2² = 54 unit
Area = length × breadth = 54 × 10.4 = 561 unit²
Multiply 8674 x 678 is what
Answer:
5880972
hope it helps..
What are steps I need to take to find a? Please include working out ❤️❤️
Multiply: 1/ 3 × 2 /5 To find the product, the numerators and the denominators. The product is . Divide: 2/ 5 ÷ 3/ 5 To divide, multiply by the . The quotient is .
Multiply: 1
3
× 2
5
To find the product,
✔ multiply
the numerators and
✔ multiply
the denominators.
The product is
✔ 2/15
.
Divide: 2
5
÷ 3
5
To divide, multiply by the
✔ reciprocal
.
The quotient is
✔ 2/3
.
Edg 2020 :)))))))
The multiplication result to 2/15 and division result to 2/3.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
1/ 3 × 2 /5
Now, to multiply we have multiply numerator and denominator.
1/ 3 × 2 /5
=(1 x 2)/ ( 3 x 5)
= 2 /15
Now, 2/ 5 ÷ 3/ 5
We have to divide the fraction.
Fraction does not support division.
So,2/ 5 ÷ 3/ 5
= 2/5 x 5/3
= 2/3.
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fill in the blanks thanks
Answer:
Um threre is no blanks or there is no question.
Step-by-step explanation:
I NEED HELP ASAP PLZ!!!!
A bag is filled with small and large marbles. The ratio of small to large marbles is 1:3.
There are eight more large marbles than small marbles. How many total marbles are in the bag? [Type your answer as a number.]
Answer:
There would be four small marbles and twelve large marbles so your answer should be sixteen marbles in total
Step-by-step explanation:
Which statement is true about the expression
x + 0.05x
It is equivalent to 1.05x
It is equivalent to 1.05x
it is equivalent to 1.5x
it is equivalent to 1.5x
it is equivalent to 1.005x
it is equivalent to 1.005x
it is equivalent to 1.55x
Rip king Von pop smoke quando rondo timmie and yea
Points and brainlest help me out on my question !!
Answer:
RIP to all those kings!!
Step-by-step explanation:
If a vector that is 1cm long represents a velocity of 10 km / h, what velocity does a vector 2 m long drawn to the same scale represent?
Answer:
V = 2000 km/h
Step-by-step explanation:
Recall that you need to follow proportionality here, and the ratio involved is: 10 km / 1 cm
then if the vector is 2 m long, then it is 200 cm long (converting it from meters to the same units as our scale which is in cm)
then we have to solve the following proportion to obtain the velocity "V":
10 km/h / 1 cm = V / 200 cm
multiply both sides by 200 to solve for V:
V = 2000 km/h
Solve for n: n/3 > 66 2/3
Answer: The 2 answers are inequality form and interval notation: n>200, and (200, ∞).
Step-by-step explanation: To solve for n, you’ll need to simplify the both sides of the inequality, and then isolating the variable.
Put brackets in the expression to make the following true. 4 - 7 - 8 + 6 = -17
HONORS INLY:
5. Find the measurements of the angles
marked with x, y and z.
(Isosceles triangle theorem
Answer:
x = 55°
y = 70°
z = 125°
Step-by-step explanation:
Based on the Isosceles triangle theorem, since two sides of the triangle are congruent, therefore, the angles opposite to each of the equal sides are congruent.
Thus:
x = 180° - 125° (angles on a straight line/linear pair)
x = 55°
If x = 55°, the other base angle will also be 55°.
Therefore,
y = 180° - (55° + 55°) (sum of ∆)
y = 70°.
z = x + y (exterior angle of a ∆ theorem)
z = 55° + 70° (substitution)
z = 125°
HURRY PLEASE!! I NEED TO TURN THIS IN TODAY!!
I WILL GIVE YOU BRAINLIEST!
i need the equation you solved it with too.
Answer:
I cant tell you the answer but multiply 3x1 then 137 by 2 then add the 3x1 and the 137 x 2 all together and you get the answer
The original price of a shirt was 20$. It decreased to 15$. what is the percent decrease of thee price of this shirt ?
Will mark as brainless if you answer correctly
Answer:
ans=10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
10(4-7) / -(4 - 1)
10(-3) / -(3)
-30 / -3 =
10
PLEASE ITS EASY I FOGOT HOW TO DO IT
Answer:
x> -1
Step-by-step explanation:
Open circle means > or <
