What is the 25th term of this arithmetic sequence?
{8, 5, 2,-1,-4, ...}
Type the correct answer in the box. Use numerals instead of words.
Answer:
Continue the pattern 24 more times by multiplying 24 terms with 3 subtracted per term
24x3=72
subtract 72 to find the term
8-72=-64
Should be -64 but we will still continue the pattern to double check
8,5,2,-1,-4,-7,-10,-13,-16,-19,-22,-25,-28,-31,-34,-37,-40,-43,-46,-49,-52,-55,-58,-61,-64
-64 is the 25th term
Hope this helps
Step-by-step explanation:
Solve: 3x
+ 4 = 5x - 4x - 8
Answer:
3x = - 18
Step-by-step explanation:
1. Simplify this equation in terms of what is already provided:
3x + 4 = 5x - 4x - 8 ⇒ 3x + 4 = x - 8
2. Now subtract 3x from either side, at the same time adding 8 to either side: 3x + 4 = x - 8 ⇒ 4 = -2x - 8 ⇒ 12 = -2x
3. Divide -2 on either side to isolate the x, and recieve it's value:
12 = -2x ⇒ x = 12/-2 ⇒ x = -6
4. The question demads for the value of 3x, so simply multiply the known value of x by 3, as such: x = -6 ⇒ 3x = -6 * 3 = -18
Please help
The lengths of pregnancy terms for a particular species of mammal are nearly normally distributed about a mean pregnancy length with a standard deviation of 17 days. About what percentage of births would be expected to occur within 51 days of the mean pregnancy length?
Answer:
About 99.7% of births would be expected to occur within 51 days of the mean pregnancy length
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Standard deviation = 17.
About what percentage of births would be expected to occur within 51 days of the mean pregnancy length?
51/17 = 3.
So, within 3 standard deviations of the mean.
About 99.7% of births would be expected to occur within 51 days of the mean pregnancy length
Jonas is buying a three-day supply of camping snacks. An energy bar costs $1.50, and a bag of dried
mangoes costs $3.00. Jonas plans to have 7 snacks per day and can spend up to $45.00.
If p is the number of energy bars he can buy, and m is the number of bags of mangoes he can buy,
which system of equations and inequalities can be used to represent the possible number of each
snack he can buy?
p+m
21
=
21
p+m = 45
1.5p + 3m
p> 0
m >0
1.5p + 3m < 45
p> 0
m 2 0
1.5p + 3m
3p + 1.5m
p20
m 20
p+m = 21
8p + 1.5m
p> 0
m >0
Answer:
P+m=21
1.5p + 3m < 45
p > 0
m > 0
Step-by-step explanation:
Part A - find the diameter of the circle?
Part B - Find the circumference of the circle ?
Answer:
A) 16 cm
B) 50.24 cm
Step-by-step explanation:
Part A:
The diameter is double the radius
The radius is half of the diameter
To work out the diameter you would simply multiply the radius of 8 cm by 2, this gives you 16 cm. This is because the radius is half of the length of the diameter.
1) Multiply 8 by 2.
[tex]8*2=16 cm[/tex]
Part B:
The formula for the circumference of a circle is : [tex]\pi *diameter[/tex]
To work out the Circumference you would multiply the diameter of 16 cm by pi, this gives you 50.24 cm. This is because if you were to substitute the value of the diameter into the formula you would get the same result.
1) Multiply pi by 16.
[tex]\pi*16=50.24[/tex]
Pi in this case is 3.14
Solve for c.
6c + 14 = -5c + 4 + 9c
Answer:
C equal -5
Step-by-step explanation:
Look at the attachment
7.5% of what is 7.38?
Answer:
What =98.4
Step-by-step explanation:
Of means multiply and is means equals
7.5% * What = 7.38
Change to decimal form
.075 * what = 7.38
Divide each side by .075
.075 What /.075 = 7.38/.075
What =98.4
Answer:
the answer for this question is 98.4
x^2+(x-8)^2-3(x+2) = 2(x+9)
Answer:
There are two solutions:
x = 5/2 = 2.500
x = 8
Step-by-step explanation:
At Pizza Pi, 80% of the pizzas made last week had extra cheese. If 16 pizzas had extra
cheese, how many pizzas in all were made last week?
Answer:
20 pizzas in total
bro now i want pizza
Step-by-step explanation:
16 pizzas = 80%
8 pizzas = 40%
4 pizzas = 20%
Kono Dio Da!!!
subtract 6066 from 294
Answer:
-5772
Step-by-step explanation:
294-6066=-5772
Answer:
The answer would be 2,772
Step-by-step explanation:
6,066 - 294 = 2,272
I hope that helps!!:)
Please help me I’m stuck on this.
Oliver wants to play the gone fishing game at the carnival.He will use the graph to find the total cost (Y) to play a couple of games.If Oliver wants to play 4 games,how much will he pay?
If u need more information tell me in the comments :)
Answer:
The cost of the game is $7 .
Step-by-step explanation:
By looking at the graph, the line at x = 4 is equals to y = 7
Mrs. Miller pays $56 for 8 pounds of salmon. What is the price of pound per salmon?
Answer:
A pound of salmon costs 7 dollars.
Step-by-step explanation:
Let's use a ratio:
pounds : $$$
8 : 56
4 : 28
2 : 14
1 : 7
A pound of salmon costs $7
Answer:
Step-by-step explanation:
56 divided by 8 is 7 so the answer is 7$ for one pound of salmon
A rectangular animal pen will be built using 200 meters of fencing. If one side of the fence is 60 meters, find the area of the pen?
Answer:
Area=LW=(60m)(40m)=2400 m^2
Step-by-step explanation:
The area of the rectangular pen is 2400 square meters.
What are the area and parameters of a rectangle?The region that a rectangle occupies in a two-dimensional space is referred to as the area of a rectangle. The quantity of square units required to entirely fill a rectangle is another way to describe its area. The whole distance encircling a rectangle's outside is referred to as its perimeter.
Given, A rectangular animal pen will be built using 200 meters of fencing. If one side of the fence is 60 meters. Hence,
Parameter of rectangle = 200
2(length + width ) = 200
given length of the pen is 60 meters
2(60 + width) = 200
width = 100- 60 = 40
Area of the rectangle = length * width = 60* 40 = 2400
Therefore, 2400 square meters will be the area of the given rectangular pen.
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A sculpture sits on a pedestal in the shape of a square prism. The side lengths of a base of the prism are 3 feet. The height of the prism is 4 feet. The museum director wants to cover all but the underside of the pedestal with foil that costs $0.22 per square foot. How much will the foil cost?
Answer:
Total cost of covering the pedestal is $12.54.
Step-by-step explanation:
The pedestal is a square prism so top and bottom are of square shape.
Hence, we have here length = width
We know that the Total Surface Area of a Prism is:
[tex]\text{Total Surface Area = } 2 (l\times w+ w \times h+ h \times l)[/tex]
Where l is length,
w is width and
h is height of prism
We know that here w = l = 3 feet
and h = 4 feet
Also, underside of pedestal is not to be covered.
The underside of pedestal is square type.
So,
[tex]\text{Required Total Surface Area = } l\times w+ 2\times w \times h+2\times h \times l[/tex]
[tex]\Rightarrow 3 \times 3 + 2 \times 3 \times 4 + 2 \times 3 \times 4\\\Rightarrow 9 + 24 + 24\\\Rightarrow 57\ ft^{2}[/tex]
Cost of cover per square foot = $ 0.22
Total cost of [tex]57\ ft^{2}[/tex] [tex]\Rightarrow 0.22 \times 0.57 = \$12.54[/tex]
3x+20=5x how many Solutions does it have
Answer:
one
Step-by-step explanation:
3x + 20 = 5x
20 = 5x - 3x
20 = 2x
x = 10
one solution
Cody paid $24.00 to join an online music service. If she purchases 15 songs each month at a cost of $1.25 per song, what will be the total amount she has spent after 6 months?
15 songs x 1.25 per song = $18.75 per month for songs.
18.75 per month x 6 months = $112.50
112.50 + 24.00 = $136.50 total
Some Field Experience in the use of an Accelerated Method in Estimating 28-Day Strength of Concrete" considered regressing y =28-day standard-cured strength (psi) against x =accelerated strength (psi). Suppose the equation of the true regression line is y =1800 +1.3x.
a.What is the expected value of 28-day strength when accelerated strength= 2500? (2 marks)
b.By how much can we expect 28-day strength to change when accelerated strength increases by 1 psi? (4 marks)
c. Answer part (b) for an increase of 100 psi. (2 marks)
d. Answer part (b) for a decrease of 100 ps
Answer:
(a) 5,050 psi.(b) 5,051.3 psi.(c) 5,180 psi.(d) 4,920 psi.Step-by-step explanation:
The given function is
[tex]y=1800+1.3x[/tex]
Where [tex]x[/tex] represents the accelerated strength in psi, and [tex]y[/tex] represents 28-day standard-cured strength in psi.
Part a is about finding the y-value for [tex]x=2500[/tex]
[tex]y=1800+1.3(2500)=1800+3250=5,050[/tex]
Therefore, the expected value of 28-day strength when accelerated strength is 2,500, is 5,050 psi.
Part b is about the y-value for [tex]x=2501[/tex]
[tex]y=1800+1.3(2501)=1800+3251.3=5,051.3[/tex]
Part c is about the y-value for [tex]x=2600[/tex]
[tex]y=1800+1.3(2600)=1800+3380=5,180[/tex]
Part d is about the y-value for [tex]x=2400[/tex]
[tex]y=1800+1.3(2400)=1800+3120=4,920[/tex]
A store display shows two red shirts, one blue shirt, and three shirts with red and white stripes. The display also shows two pairs of blue jeans, one pair of white pants, and one pair of white shorts. What is the probability of randomly selecting an item with white or red on it?
A) 1/4 B) 3/10 C)1/2 D) 7/10
Answer:
its 7/10
Step-by-step explanation:
The probability of randomly selecting an item with white or red on it is 3/10.
What is the probability?Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.
A store display shows two red shirts, one blue shirt, and three shirts with red and white stripes.
The display also shows two pairs of blue jeans, one pair of white pants, and one pair of white shorts.
The probability of randomly selecting an item with white or red on it is given by;
[tex]\rm Probability=\dfrac{Total \ number \ of \ items}{Total \ red \ or \ white \ items}\\[/tex]
Total items = 2 + 1 + 3 + 2 + 1 + 1 = 10 itens.
Substitute all the values in the formula
[tex]\rm Probability=\dfrac{Total \ number \ of \ items}{Total \ red \ or \ white \ items}\\\\\rm Probability=\dfrac{3}{10}\\\\[/tex]
Hence, the probability of randomly selecting an item with white or red on it is 3/10.
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KARLA has spent $33 on food. She bought milk, cheese, and meat. The milk cost half as much as the cheese and the meat cost four times as much as the cheese. Which equation will help you find the cost of the cheese?
Whats is the 6+8-16
Answer:
-2
Step-by-step explanation:
6+8 equals 14. 14-16 equals -2
Answer: The importance of learning is that it helps the individual to acquire the necessary skills through learning and knowledge so that he can achieve his set goals. An important fact about learning is that it is a means to improve knowledge and gain skills that will help in reaching specific goals
Step-by-step explanation:
The importance of learning is that it helps the individual to acquire the necessary skills through learning and knowledge so that he can achieve his set goals. An important fact about learning is that it is a means to improve knowledge and gain skills that will help in reaching specific goals
Element X decays radioactively with a half-life of 14 minutes if there are 680 grams of element X how long to the nearest 10th of a minute would it take the element to decay 17 grams
Answer:
It would take 74.5 minutes for the element to decay 17 grams.
Step-by-step explanation:
The amount of element X after t minutes is given by the follwoing equation:
[tex]X(t) = X(0)e^{rt}[/tex]
In which X(0) is the initial amount of the substance and r is the decay rate.
Half life of 14 minutes.
This means that [tex]X(14) = 0.5X(0)[/tex]
So
[tex]X(t) = X(0)e^{rt}[/tex]
[tex]0.5X(0) = X(0)e^{14r}[/tex]
[tex]e^{14r} = 0.5[/tex]
[tex]\ln{e^{14r}} = \ln{0.5}[/tex]
[tex]14r = \ln{0.5}[/tex]
[tex]r = \frac{\ln{0.5}}{14}[/tex]
[tex]r = -0.0495[/tex]
So
[tex]X(t) = X(0)e^{-0.0495t}[/tex]
There are 680 grams of element X
This means that [tex]X(0) = 680[/tex]
[tex]X(t) = X(0)e^{-0.0495t}[/tex]
[tex]X(t) = 680e^{-0.0495t}[/tex]
How long would it take the element to decay 17 grams
This is t for which X(t) = 17. So
[tex]X(t) = 680e^{-0.0495t}[/tex]
[tex]17 = 680e^{-0.0495t}[/tex]
[tex]e^{-0.0495t} = \frac{17}{680}[/tex]
[tex]e^{-0.0495t} = 0.025[/tex]
[tex]\ln{e^{-0.0495t}} = \ln{0.025}[/tex]
[tex]-0.0495t = \ln{0.025}[/tex]
[tex]0.0495t = -\ln{0.025}[/tex]
[tex]t = -\frac{\ln{0.025}}{0.0495}[/tex]
[tex]t = 74.5[/tex]
It would take 74.5 minutes for the element to decay 17 grams.
A tennis ball machine shoots 21 forehands 25 backhands and 9 lobs if a player missed 6 forehands 17 backhands and 2 lobs how many balls were hit
Answer:
30
Step-by-step explanation:
55 - 25 = 30
what are three segments from this figure?
Answer:
AD, DA, ED, DE
Step-by-step explanation:
Today a shoe store it’s at 20% of the price of a pair shoes and for the next three days it will take 20% of the previous days price if the price of a pair of shoes yesterday was $200 what will be the price of the pair of shoes three days from now
A.160.00
B.128.00
C.102.40
D.81.92
If the price of the shoe yesterday was $200 and on this day 20 percent has been taken thus it will have $160. In the next 3 days if another 20 percent will be taken out from the previous $160 then the final answer is $128.
ps.. can u give brainly pls :3
Peter rolls a fair dice 114 times. How many times would Peter expect to roll a number greater than 1?
Answer:
A dice of six faces has 5 numbers bigger than 1 (from 2 to 6).
Then, the number Peter is expecting is : 114 x (5/6) = 95 (times)
Hope this helps!
:)
In the diagram below, point P is circumscribed about quadrilateral ABCD. What is the value of x? (Pls answer I give lot of point)
Answer:
D. 50
Step-by-step explanation:
130+x=180
x=50
the price increase of a set of golf clubs is from $250 to $750. What is the percent increase?
Answer:
300%
Step-by-step explanation:
3 times 250 is 750
After flooding damaged much of the crop, the cost of a head of lettuce jumped from $0.92 to $2.26. What percent of increase is this? Round to the nearest one percent.
Answer:
146%
Step-by-step explanation:
[tex] percent~change = \dfrac{new~price - old~price}{old~price} \times 100% [/tex]
If the percent change is positive, it is a percent increase.
If the percent change is negative, it is a percent decrease.
Your numbers are
old price = $0.92
new price = $2.26
Plug in the numbers in the formula above and evaluate the expression.
percent change = ($2.26 - $0.92)/($0.92) * 100%
percent change = ($1.34)/($0.92) * 100%
percent change = 1.4565 * 100%
percent change = 146%
Since the percent change is a positive number, it is a percent increase.
Answer: The percent increase is 146%.
Brainliest for anyone if they get this CORRECT.
hello
it is c
hehehehe hope it helps
Answer:
The option c. (x-6)(x-1)
Step-by-step explanation:
x^2 - 7x +6
S=-7
P=6
x^2-1x-6x+6
x(x-1)-6(x-1)
(x-6)(x-1)
HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing. Check ALL that apply