Answer:
a(n) = 1(2.5)^(n - 1)
Step-by-step explanation:
The geometric sequence is 1, 2.5, 6.25, 15.625, and so on; the first term is 1. The common ratio is 2.5; each new term is 2.5 times the previous term.
The explicit formula desired is thus a(n) = 1(2.5)^(n - 1)
Answer:
ITS CCCCCCC (2.5)
HURRY FIRST GETS BRAINLLEST The diagram below shows a circular pizza with a diameter of 14 inches. The pizza is in a square box with side lengths of 16 inches. In square inches, how much of the box is empty? Use π = 3.14 and round your answer to the nearest hundredth.
Answer:
pls do mark my answer as the brainliest..........
Step-by-step explanation
portion of square empty = 256 - 153.86 = 102.14cm^2
If water flows 12 feet in 9 seconds through the turbine, how far will the water flow in 54 seconds? If the water continues to flow at this rate, how long will it take the water to travel 54 feet?
Answer:
40.5 sec
Step-by-step explanation:
The flow rate is (12 ft) / (9 sec), or 4/3 ft/ sec.
In 54 sec, the water will have moved
(4/3 ft/sec)(54 sec) = 72 ft.
If the flow rate is 4/3 ft/sec and the distance covered is 54 ft, we divide
54 ft by (4/3 ft/sec) to determine how long it takes the water to flow 54 ft:
54 ft
---------------- = 40.5 sec
(4/3 ft/sec)
What is the sum of x?
Answer:
the answer is 40
Step-by-step explanation:
x+60
x=60-20
x=20
Which formula can be used to describe the sequence? –81, 108, –144, 192, ...
Answer:
a(n) = -81(-4/3)^(n - 1)
Step-by-step explanation:
The first term is -81. From -81 we obtain the next term, 108, by multiplying -81 by -4/3. Note how (-4/3)(108) = -144 as anticipated.
Thus, the common ratio is -4/3.
The explicit function for this geometric series is
a(n) = -81(-4/3)^(n - 1)
Answer:
C
Step-by-step explanation:
Each statement describes a transformation of the graph of y= In x. Which statement correctly describes the graph of y= In(x - 7) + 3?
Α.
It is the graph of y = In x translated 3 units up and 7 units to the left.
B.
It is the graph of y= In x translated 7 units down and 3 units to the right.
C.
It is the graph of y = In x translated 7 units up and 3 units to the right.
D.
It is the graph of y=In x translated 3 units up and 7 units to the right.
Answer:Answer: THE ANSWER IS
A)
The baker makes54 biscuits in the morning. Then he makes 26 more in the afternoon.
Answer:
80 biscuits
Step-by-step explanation:
The question is not a whole question so I am just assuming that the question is how many biscuits were baked the whole day
Hope this helps :)
Write an equation (in slope-intercept form) of a line whose slope is 10 and y-intercept is (0,-20)
Answer:
The answer is
y + 20 = 10( x - 0)Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
From the m is 10
Equation of the line using point ( 0 , - 20) is
y + 20 = 10( x - 0)Hope this helps you
Complete the table to determine the effect of the number of compounding periods when computing interest. Suppose that is19,000 invested at 3.5% interest for 10yr under the following compounding options. Round answers in the second column to the nearest whole number. Round answers in the last column to the nearest cent.
Answer: 26801.38
Step-by-step explanation:
The following parameters are given:
The money invested which is
The principal P = 19000 dollars
The rate R = 3.5 %
Period t = 10 years
The formular for amount of money after 10 years will be
A = P( 1 + R% )^t
Substitute all the parameters into the formula
A = 19000( 1 + 3.5/100 )^10
A = 19000 ( 1 + 0.035 )^10
A = 19000 ( 1.035 )^10
A = 19000 × 1.41059
A = 26801.376
A = 26801.38 dollars
Three kids,Nicole,oluwatomi and muna shared 500 in the ratio of 3:2:x respectively.If nicole share is 150,find the value of x
Answer: X= 5
Step-by-step explanation:
The ratio 3:2:x may also be written as Nicole:oluwatomi:muna which means that Nicole is 3y olwatomi is 2y and muna is xy. We also know that all their values together add up to 500
Using the information above we can set up an equation:
3y+2y+xy=500. If’s you simplify this equation you get 5y+xy=500
Going onto the next step we know that Nicole’s share is 150. We can set up an equation using this information:
150=3y. After simplifying we know that y=50
So if we go back to our first equation: 5y+xy=500 we can substitute y with 50.
5*50+x*50=500 after we solve this equation we can get the result X=5
Chelsey puts twelve colored pieces of chocolate candy in a bag. Three pieces are green, four pieces are yellow, two pieces are purple, and three pieces are red. She draws one piece of candy from the bag at a time and eats it.
A. What is the probability that Chelsey will draw out three pieces of candy in this order: red, green, yellow?
B. What is the probability that Chelsey will draw out three pieces of candy in this order: green, yellow, red?
C. What is the probability that Chelsey will draw out three pieces of candy in this order: yellow, red, green? D. Make a conclusion about how the order in which she draws out the red, green, and yellow pieces affects the probability.
The probabilities are as follows A.3/10, B. 1/5, C. 1/10, D. 2/5
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Letitia tells her son, Evan, to close his eyes and pick out one piece of candy from the package. Calculate the probability of selecting each colour of candy.
The probability will be calculated as:-
The probability that Chelsey will draw out three pieces of candy in this order: red, green, yellow
3/10
The probability that Chelsey will draw out three pieces of candy in this order: green, yellow, red
1/5
The probability that Chelsey will draw out three pieces of candy in this order: yellow, red, green
1/10
The order in which she draws out the red, green, and yellow pieces affects the probability.
2/5
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Amina sees a discount of 5% on a laptop. She can calculate the amount she has to pay for the laptop using the expression where b is the price of the laptop before the discount. If the price after discount is $494, which number from the set {500, 505, 510, 520, 525} is the value of b? A. $500 B. $505 C. $510 D. $520 E. $525
Answer:
D. $520
Step-by-step explanation:
A 5% discount means you are paying 95% of the original price.
494 divided by 0.95 = 520
Answer:
d 520
Step-by-step explanation:
a good trick when you have these multiple choice questions especially with percentages with tips and discounts just multiply each answer option by what ever percentage you have and subtract or add what you got on the calculator
Find the value of x in each case:
Answer:
45°
Step-by-step explanation:
The sum of a triangle's angles is 180°.
Let's take the triangle FIG and try to express its angles in function of x.
● < F :
< F +3x = 180 => <F = 180 -3x
● < G :
IK and GH are paralell. IG is crossing them.
x and G are interior alternate angles so they have the same size.
< G = x
● < I :
We khow that < F = 180 -3x and < G = x
< I = 180-(< F + < G )
< I = 180 - ( 180-3x +x)
< I = 180 -(180-2x)
< I = 180 -180 +2x
< I = 2x
■■■■■■■■■■■■■■■■■■■■■■■
< F = 180 -3x
< G = x
< I = 2x
< I + > I + x + 2x = 360
2x + 180-x +3x = 360
4x + 180 = 360
4x = 180
x = 45°
●●●●●●●●●●●●●●●●●●●●●●●
Let's verify :
< F = 180 - 3*45 = 45 °
<G = x = 45°
< I = 2x = 90°
90° +45°+45° = 180°
So it's true.
Please help with these
Answer: Problem 3. angle 1=78, angle 2=102
Step-by-step explanation:
Every straight line has 180 degrees. 40 +62=102. 180-102 is 78. The unmarked angle in the triangle is 78 degrees. Using that, you can find angle 1. Every triangle has 180. You know two of the angles (78 and 58) so 78+58+angle 1=180. 78+58=136. The missing angle equals 180-136. Angle 1 is 44.
To solve angle 2, keep in mind that there are 180 degrees in a straight line. Angle 1 and 2 make a straight line. Because we know angle 1 is 78, 180-78 equals angle 2. Angle 2 is 102 degrees
Sorry i only did problem 3 but i hope this helped you
describe the y-intercept in terms of knots and rope length
Answer:
what is the y-intercept sorry i can't help there isn't enough information
Step-by-step explanation:
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. y=-x^2+72x-458 We need to sell each widget at $ ___ in order to make a maximum profit of $ ____
Answer:
x = $36 , y = $ 838
Step-by-step explanation:
Solution:-
The company makes a profit of $y by selling widgets at a price of $x. The profit model is represented by a parabola ( quadratic ) equation as follows:
[tex]y = -x^2 + 72x -458[/tex]
We are to determine the profit maximizing selling price ( x ) and the corresponding maximum profit ( y ).
From the properties of a parabola equation of the form:
[tex]y = ax^2 + bx + c[/tex]
The vertex ( turning point ) or maximum/minimum point is given as:
[tex]x = -\frac{b}{2a} \\\\x = -\frac{72}{-2} = 36[/tex]
The profit maximizing selling price of widgets would be x = $36. To determine the corresponding profit ( y ) we will plug in x = 36 in the given quadratic model as follows:
[tex]y ( 36 ) = - ( 36 )^2 + 72 ( 36 ) - 458\\\\y ( 36 ) = -1296 + 2592 - 458\\\\y ( 36 ) = 838[/tex]
The maximum profit would be y = $838
Paul creates the diagram to help him factor 4x2 + x – 5 by using double grouping. His diagram is incomplete. A 2-column table with 2 rows. The labels for the columns and rows are blank. First column entries are 4 x squared, M Subscript 2 Baseline. Second column entries are M Subscript 1 Baseline, negative 5. Which terms should Paul write in squares M1 and M2? 5x and −4x –5x and 4x –2x and 10x 2x and −10x
Answer:
5x and -4x
Step-by-step explanation:
Paul wants M₁ and M₂ to have a total that is +x, and a product that is -20x². The values of M₁ and M₂ that will do that are ...
5x and -4x
Answer:
A. -5x and 4x
:)
Hope this helps!
Good luck yalls
Which an equation of a line that has a y-intercept at (0,0) (create your own slope)
Answer:
y = 3x
Step-by-step explanation:
Assume a slope of 3
The y intercept is 0
The slope intercept form of the equation is
y= mx+b where m is the slope and b is the y intercept
y =3x+0
y = 3x
let f(x)= 8x³ + 16x² -15 and g(x) = 2x+1. f(x)/g(x).
4x²+6x-3+12/2x+1. 4x²+6x+3+12/2x+1. 4x²+6x-3-12/2x+1. 4x²+6x+3-12/2x+1
Answer:
f(x)/g(x) = 4x^2+6x-3 remainder -12
or
f(x)/g(x) = (4x^2+6x-3)/(2x+1) + (-12)/(2x+1)
or
((4x²+6x-3)-12)/(2x+1)
Step-by-step explanation:
f(x)= 8x³ + 16x² -15
g(x) = 2x+1.
Using long division,
f(x)/g(x) = 4x^2+6x-3 remainder -12
What is the simplified expression for 5 to the power of negative 3 multiplied by 2 to the power of 2 multiplied by 5 to the power of 6 whole over 2 to the power of 3 multiplied by 5 to the power of 2?
Answer
the third(5/2)
Step-by-step explanation:
[(5^(-3))*(2^2)*(5^6)]/[(2^3)*(5^2)]
=[(5^3)*(2^2)]/[(2^3)*(5^2)]
=[5^(3-2)]*[2^(2-3)]
=5*(1/2)
=5/2 or 2.5
Answer:
5/2
Step-by-step explanation:
Hope it helps!!
Btw it was right on the test!!
Point A is (-6,-5) Point C is (4,0) Find the coordinates of point B on AC such that the ratio of AB to BC is 2:3.
Answer:
(-2, -3)
Step-by-step explanation:
x coord. from -6 to 4 is 10 units / 5 parts = 2
point B is 2 units * 2 from point A, so x = -2
y coord. from -5 to 0 is 5 units / 5 parts = 1
point B is 2 units * 1 from point A, so y = -3
Answer:
(-2,-3)
Step-by-step explanation:
khan acdemy
Suppose that a population begins at a size of 100 and grows continuously at a rate of 200% per year. Give the formula for calculating the size of that population after t years. Question 3 options: A) A = 100 + 2et B) A = 100e2t C) A = 100 + te2 D) A = 100 + e2t
The formula for calculating the size of the population after t years using continuous growth is [tex]A = 100e^{2t}[/tex], making option B the right choice.
Continuous growth in the initial amount P, after time period t, and at the rate of r per time period gives the final amount as: [tex]A = Pe^{rt}[/tex]
In the question, we are asked to suppose that a population begins at a size of 100, and grows continuously at a rate of 200% per year, and are asked for the formula for calculating the size of that population after t years.
The given case can be shown as a continuous growth, with:
Initial population, P = 100,
Rate of growth, r = 200% = 2, and,
The time period, t years.
Thus, the formula for calculating the size of that population after t years can be shown using the formula: [tex]A = Pe^{rt}[/tex], as:
[tex]A = 100e^{2t}[/tex].
Hence, the formula for calculating the size of the population after t years using continuous growth is [tex]A = 100e^{2t}[/tex], making option B the right choice.
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Given: P∈ BC , Pabc = 45, Pabp = 30, Papc = 35. Find AP.
Answer:
10
Step-by-step explanation:
Pabp = AB +BP +AP
Papc = AP +PC +CA
So the sum of perimeters of the two smaller triangles is ...
Pabp +Papc = AB +BP +AP + AP +PC +CA
= (AB +BP +PC +CA) +2AP
= Pabc +2AP
Filling in numbers, we have ...
30 +35 = 45 +2AP
20 = 2AP . . . . subtract 45
10 = AP . . . . . . divide by 2
The length of AP is 10 units.
PLEASE HURRY! ANSWER ASAP
Which two grids can be combined to get 140%?
Square A) A grid model with 100 squares with 1 square shaded.
Square B) A grid model with 100 squares with 15 squares shaded.
Square C) A grid model with 100 squares with 40 squares shaded.
Square D) A grid model with 100 squares with 100 squares shaded
A and B
A and C
B and D
C and D
Scanning the road can be thought of as a
A. way to improve your mileage
B. way to reduce your mileage
C. comprehensive drive test
D. systematic search process
Answer:
D
Step-by-step explanation:
Well scanning the road for mileage wouldn't be the correct formula for "scanning" but looking for a gas station sounds more right.
Answer: d
Step-by-step explanation: i did it and got it right
What is the length of AB, given that figure ABCD is a rhombus?
A. 12
B. 4
C. 16
D. 8
Answer:
c
Step-by-step explanation:
Which of the following theorems verifies that WXY=PME?
A. HA
B. HL
C. LA
D. AA
HL = hypotenuse leg
We see that WX = PM are the congruent legs (they are the same length due to the similar single tickmark). Also, XY = ME is the congruent pair of hypotenuses. The HL rule only works for right triangles, as the term "hypotenuse" would not apply for a non-right triangle.
The theorem used is HL.
What is theorem?
A theorem is a statement which has been proved true by a special kind of logical argument called a rigorous proof.
Given:
In both triangles
XW = MP (given)
XY = ME (given)
As, hypotenuse of both triangle is equal and leg of one right triangle are congruent to the hypotenuse.
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hi there plz help me
Answer:
for every 3 tomato plants there will be 1 squash plants
Step-by-step explanation:
9 divided by 3 = 3. That will find the tomatoes
then you have to divide all the other plants by 3. Squash will be the only one with 1 plant per 3 tomato plants.
The answer is B
Answer:
B. Squash
Step-by-step explanation:
There are 9 tomato plants and there are 3 squash plants.
9 ÷ 3 = 3
3 tomato plants = 1 squash plants
3 × 3 = 1 × 3
9 = 3
9 tomato plants = 3 squash plants
There were some people on a train. 19 people got off the train at the first stop. 17 people get on the train. Now there is 63 people on the train. How many people were on the train to begin with?
Answer:
65 people.
Step-by-step explanation:
We have to work backwards.
We end with 63 people, and at the stop we lost 19 people and gained 17.
[tex]x - 19 + 17 = 63\\[/tex]; if x = # people at the beginning
[tex]x - 19 + 17 = 63\\x - 2 = 63\\x = 65[/tex]
There were 65 people on the train to begin with.
Answer:
65 people
Step-by-step explanation:
Well, we need to work backward,
63 on the train and 17 got on so we do 63 - 17 = 46
Then 19 got off so 46 + 19 = 65
Hence, 65 people were on the train on the first stop.
Which equation results from adding the equations in this system? 11 x minus 3 y = negative 17. Negative 4 x + 3 y = negative 18. Negative 7 x = negative 35 Negative 7 x = 35 7 x = negative 35 7 x = 35
Answer:
7x = -35
Step-by-step explanation:
11x -3y = -17
-4x + 3y = -18
Add the two equations together
11x -3y = -17
-4x + 3y = -18
--------------------------
7x + 0y = -35
7x = -35
Answer:
7x=-35
Step-by-step explanation:
Does anyone know this one! Thanks
Answer: 22.4 cm!
Step-by-step explanation:
If you have the measurements of one side of an equal sided octagon, then you multiply that number (which in this case is 2.8) by 8. Hope this helps!