Answer: the 100th term of the sequence =-273 (1)
Step-by-step explanation:
Since the first term = 222
and d (common difference )=-5 Then we are talking about an arithmetic progression
The nth term of an Arithmetic progression is given as
Tn=a + (n - 1)d
Therefore given that n =100
Tn=a + (n - 1)d = 222 +(100-1)-5
222+ (99)-5
222-495=-273
A store manager earns $ 24.00 per hour. If the manager works 8 hours one day and donates 1 10 of the day's earnings to charity, how much of the earnings are left?
PLEASE HELP ME ASAP!!!
Answer:
5x6x7=210x2=420
Step-by-step explanation:
Which property is demonstrated below?
(a+b)+c=(b+a)+c
A. Commutative property of addition
B.Associative property of addiction
C.Identity property of addition
D.Distributive property
Answer:
Associative property of addition
Answer:
B.Associative property of addiction
Step-by-step explanation:
One banana cost $30 how many do 80 bananas cost
Answer:2400 ...
Step-by-step explanation:
PLEASE HELP FAST I WILL GIVE BRAINLIST AND EXTRA POINTS FOR YOU TO DRAW THE GRAPH
Answer:
literally straight on the x axis
Analyze the following situations that represent a relationship between x and y. Which situations can be modeled by the equation y = 0.23x? Select two that apply.
Answer:
I think it's A and D
Step-by-step explanation:
For option A, y would be the height or total growth, and x would be time or months and total height = 0.23 feet × 7.5 months
for option D, y would be the total amount of money spent and x would be the number of granola bars bought. total money spent = $0.23 × number of granola bars bought
Options B and C don't work because we don't know the initial values and an initial value would be represented in the equation.
In option E, 0.23 represents the total growth in 7 days, so it would be the total instead of the rate of change
Mr. Johnson bought 1.8 pounds of grapes for $2.20 per pound. How much did the grapes cost Mr. Johnson to purchase?
A. $3.96
B.$3.80
C.$0.40
D.$5.40
Answer:
A. $3.96
Step-by-step explanation:
$2.20 × 1.8 pounds = $3.96
Helpppp plzzz I will mark brainliestttt
Sekhar gives a quarter of his sweets to Renu and then gives 5 sweets to Raji. He has
7 sweets left. How many did he have to start with?
Answer:
16 sweets
Step-by-step explanation:
Number of sweet that Sekhar had = x
Sweets given to Renu = (1/4) of x = [tex]\frac{1}{4}x[/tex]
Sweets given to Raji = 5
Remaining sweets = 7
[tex]x = \frac{1}{4}x +5 + 7\\\\x -\frac{1}{4}x = 12\\\\\frac{4*x}{1*4}x-\frac{1}{4}x = 12\\\\\frac{4x}{4}-\frac{1}{4}x= 12\\\\\frac{3x}{4}=12\\\\x = 12*\frac{4}{3}\\\\x=4*4\\\\x=16[/tex]
In a card game, one of the players wants to draw two DIAMONDS in a row from a newly shuffled deck. (Recall a deck of cards has 52 total cards
and 13 of each symbol, including 13 diamonds.)
Create a tree diagram.
What is the probability ONE of the two cards is a diamond?
What is the probability the second card is a diamond, GIVEN the first card drawn was a diamond?
(CLICK YOUR ANSWER FROM THE OPTIONS BELOW. DON'T TYPE YOUR ANSWER IN.)
Word Bank:
382.59.235.254.191 25.559 231
Blank 1:
Blank 2:
Part A
The probability of getting diamonds on the first draw is 13/52 since we have 13 diamonds out of 52 total.
The probability of getting a non-diamond card on the second selection is 39/51 since we have 39 non-diamond cards out of 52-1 = 51 cards left over. Whatever card that was selected first is not put back. In this scenario, we are picking exactly one diamond card.
The probability of both events occurring is (13/52)*(39/51) = 13/68. I skipped a few steps but hopefully you can see how I arrived at that fraction.
The same probability shows up if we had a non-diamond card drawn first followed by a diamond card. This is because we compute (39/52)*(13/51) = 13/68.
So overall, the answer as a fraction is 13/68 + 13/68 = 26/68 = 13/34
The answer in decimal form is roughly 13/34 = 0.3824 which converts to 38.24%
---------------
Answer in fraction form = 13/34Answer in decimal form = 0.3824 (approximate)Answer in percent form = 38.24% (approximate)============================================================
Part B
We're told that "given the first card drawn was a diamond" so we only need to worry about the second card.
We have 13-1 = 12 diamonds left out of 52-1 = 51 total.
The probability of picking another diamond is 12/51 = 0.2353 approximately. This converts to 23.53%
-----------------
Answer in fraction form = 12/51Answer in decimal form = 0.2353 (approximate)Answer in percent form = 23.53% (approximate)–3y9 number of terms
Answer and Step-by-step explanation:
[tex]-3y^{9}[/tex]
This value above is ONE term. Even though it is made up of more values and stuff, it is all one term BECAUSE they are all connect, so the -3 is with the y by multiplication, and the 9 is with -3y as an exponent of y.
#teamtrees #PAW (Plant And Water)
Here is a right square pyramid. Round answers on this problem to the nearest tenth if necessary. what is the height of the pyramid? what is the volume of the pyramid?
Answer:
height = 6
volume = 60 in³
Hope this helps!
Answer:
Height = 4
Volume = 48 units ^3
Step-by-step explanation:
Using logarithm table evaluate the
[tex] \frac{ \sqrt[3 ]{1.376} }{ \sqrt[4]{0.007} } [/tex]
By using the logarithm table, the value of the expression is approximately written as 5.796.
To begin, let's use the properties of radicals and logarithms to rewrite the expression:
[tex]\frac{\sqrt[3]{1.373} }{\sqrt[4]{0.007} } = 1.373^{1/3} \times 0.007^{-1/4}[/tex]
Now, we can utilize logarithm tables to evaluate each term separately. Using logarithms, we can convert the above expression into a more manageable form:
=> 1.373 ¹/₃ = 1.092,
=> 0.007⁻¹/₄ = 5.311
Finally, we can substitute the approximated values back into the original expression:
≈1.092×5.311≈5.796.
To know more about logarithm here
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Find the missing side
Answer:
20
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2, where a and b are the sides and c is the hypotenuse
15^2 + b^2 = 25^2
225 + b^2 = 625
b^2 = 625 -225
b^2 =400
Take the square root of each side
sqrt(b^2) = sqrt(400)
b = 20
what is the common ratio? {250, 50, 10, 2...}
Answer:
5
Step-by-step explanation:
The common ration can be found by dividing the 2nd number from the 1st number:
250 / 50
which equals 5
250 / 50 = 5
you can do this by any number, for example:
50 / 10 =5
10 / 2 = 5
Can someone please answer this for me
Answer:
3.5
Explanation:
Take any two points of the line and simply use the formula slop = y2-y1/x2-x1
Two points that I consider
(x1, y1) = (5,0)
(x2,y2) = (7,7)
Now using the above mentioned formula,
y2-y1/x2-x1 = 7-0/7-5 = 7/2= 3.5
Hence slop of line is 3.5
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Which of the following choices shows the equation solved for y
7x + 2y = 10
1. y = -7/2x + 5
2. y = 7/2x +10
3. y = 7/2x + 5
4. y = -7x + 10
Answer:
#1; [tex]y = -\frac{7}{2}x+5[/tex]
Step-by-step explanation:
[tex]7x+2y=10[/tex]
[tex]2y = -7x + 10[/tex]
[tex]\frac{2y}{2} = -\frac{7x}{2} + \frac{10}{2}[/tex]
[tex]y = -\frac{7}{2}x + 5[/tex]
Probability of drawing one yellow ball from a box containing 20 blue balls, 15 white balls and 10 yellow
Answer:
[tex]\frac{2}{9}[/tex]
Step-by-step explanation:
The probability of an event is calculated by dividing the number of successful outcomes by the number of total outcomes. In an algebraic expression, that would be [tex]\frac{successful}{total}[/tex].
In this case, there are a total of [tex]20+15+10=45[/tex] ways to choose any ball, since there are [tex]45[/tex] balls in the box. However, only [tex]10[/tex] are yellow, so there are [tex]10[/tex] ways to successfully choose a yellow ball. Therefore, the probability of choosing a yellow ball is [tex]\frac{10}{45}=\frac{2}{9}[/tex]. Hope this helps!
What is the product of a,b, and c?
Answer:
[tex] abc = - \frac{16}{3} [/tex]
Step-by-step explanation:
[tex] {x}^{ - 2} {y}^{3} \sqrt[3]{ 64{x}^{5} {y}^{3} } = a {x}^{b} {y}^{c} \\ \\ {x}^{ - 2} {y}^{3} \times 4 \times {x}^{ \frac{5}{3} } \times y= a {x}^{b} {y}^{c} \\ \\ 4 {x}^{ \frac{5}{3} - 2 } {y}^{3 + 1} = a {x}^{b} {y}^{c} \\ \\ 4 {x}^{ \frac{5 - 6}{3} } {y}^{4} = a {x}^{b} {y}^{c} \\ \\ 4 {x}^{ \frac{ - 1}{3} } {y}^{4} = a {x}^{b} {y}^{c} \\ \\ equating \: like \: terms \: on \: both \: sides \\ \\ a = 4 \\ \\ b = - \frac{1}{3} \\ \\ c = 4 \\ \\ abc = 4 \times ( - \frac{1}{3} ) \times 4 \\ \\ = 16 \times ( - \frac{1}{3} ) \\ \\ abc = - \frac{16}{3} [/tex]
Which is larger, 9 kilograms or 8,500 grams?
Answer: 9 kilograms
Step-by-step explanation:
9 kilograms is larger because the kilogram, or kilogramme, is the base unit of weight in the Metric system. It is the approximate weight of a cube of water 10 centimeters on a side. While a gram is a unit of weight equal to 1/1000th of a kilogram. A gram is the approximate weight of a cubic centimeter of water.
what is the surface area of the figure?
Answer:
96
Step-by-step explanation:
first off you know that it is a square pyramid, so you can assume that all base lengths are 6.
i am going to find the base first. it is 36 because 6*6-36 save this in your mental memory
next, we have to find the 4 triangles
we know that they are 5 by 6 but you have to divide them by 2
so 30/2=15 and there are 4 of them
15*4=60
now add together 60 and 36 and you get 96
hope this helps!
Which other expression has the same value as (-14 ) - 8? Explain your reasoning
a(-14) + 8
b14 - (-8)
c14 + (-8)
d (-14) + (-8)
What is the slope of the line?
What is the y-intercept?
Write the equation of the line
Answer:
slope is 2
y-intercept is 3
equation y=2x+3
Step-by-step explanation:
Answer:
slope=4/2 or 2
y-intercept=3
equation=y=2x+3
the slope would be 4/2 because if you do the triangle method you see that the vertical distance of y is 4 and the horizontal distance of x is 2 so that gives you 4/2 the y intercept is where the line starts at 0 which you can see is 3. if the equation is y=mx+b you plug in the slope which is 4/2 or 2 and plug in the y-intercept which is 3 which gives you y=2x+3
Find the volume of the cylinder. Round your answer to the nearest tenth.
V =
Answer:
1526.81
Step-by-step explain
v=[tex]\pi[/tex]*radius^2*Hight
38 is 90 percent of what
Answer:
42.22 (2 repeating)
Step-by-step explanation:
When you are given percentage problems, you deal with the percent (%), base (amount you are starting with), and the amount.
Starting with the most basic equation,
Percent * Base = Amount
In this problem, you are given the amount (38) and the percent (90)
So to find the base, you can do
Base = Amount / Percent
As always, convert the percent to a decimal by dividing by 100.
38/ 0.9 = 42.222 repeating
Answer:
38 is 90 Percent of What Number?
42.22
Step-by-step explanation:
The square root of 14641 will have how many digits
Answer:
3 digits
Step-by-step explanation:
Hopefully that helps.
Answer:
3 digits
Step-by-step explanation:
Using a calculator, we find √14641 = 121, which has 3 digits.
If a car travels 825 miles in 15 hours and the car travels at an constant rate how many miles does the car travel in 1 hour?
Answer:
55 miles
Step-by-step explanation:
Given data
DIstance = 825 miles
Time = 15 hours
Speed= distance/time
Speed= 825/15
Speed= 55 miles per hour
Given that we want to find the distance traveled in 1 hour, we have
Distance= Speed*time
Distance= 55*1
Distance= 55 miles
Hence the car will travel 55 miles in 1 hour
vertex (0,0) focus (0,-1)
A) y=1/4 x^2
B) y=-1/4x^2
C) y=1/16x^2
D) y=-1/16x^2
Answer:B
Step-by-step explanation:
The diagram shows two campsites on opposite ends of a lake and two triangles formed by intersecting segments from the campsites.
Campsites F and G are on opposite sides of a lake. A survey crew made the measurements shown on the diagram. What is the distance between the two campsites? The diagram is not drawn to scale. The triangles are proportional.
Answer:
x=42.3m
Step-by-step explanation:
x/47=82.8/92
92x=3891.6= 42.3m is the distance
Given that the triangles formed are similar, the distance between the two campsites is: 42.3 m.
What are Similar Triangles?Triangles that are similar to each other always have the same shape but different sizes, and the ratio of their corresponding sides are equal (proportional).
The two triangles formed are similar triangles. Therefore:
47/FG = 82/73.8
Cross multiply
FG = (47 × 73.8)/82
FG = 42.3 m
Therefore, given that the triangles formed are similar, the distance between the two campsites is: 42.3 m.
Learn more about similar triangles on:
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In a computer catalog, a computer monitor is listed as being 25 inches. If the height of the screen is 15 inches, what is the area of the screen to the nearest inch?
Answer: 20inch
Step-by-step explanation:
Using the Pythagoras theorem:-
25^2 = 15^2 + x^2 where x = the width of the screen.
625 = 225 + x^2
x = √(625 - 225) = √400
= = 20 ins