The first term of an Ap are x, 2x +1, and 5x+1 Find
x and the sum of the
l0 terms
first
Answer:
145/2
Step-by-step explanation:
d=[2x+1-x] = [5x+1 -(2x+1)]
x+1=3x
x-3x=-1
-2x=-1
x=1/2
therefore first term is 1/2
second term is 2(1/2)+1= 2
common difference d is 2-1/2=3/2
sum of first n terms is n/2 [2a+(n-1)d] where n=10
sum of first 10 terms= 10/2[2×1/2+(10-1)3/2]
=5[1+(9)3/2] =5[1+27/2] = 5[29/2] =145/2
3x+2>29. solve for x
Answer:
x>9
Step-by-step explanation:
3x+2−2>29−2
3x>27
divide by 3
3x/3>27/3
For every 4 teaspoons of water is one cup of powder how many cups of powder do I need for 16 teaspoons
Answer:
4
Step-by-step explanation:16 divided y 4 is 4
Which fraction is greater?
Answer:
1/2
Step-by-step explanation:
Which of the following has the ability to line- item veto a law? A Governors b. The president C. Mayors can you help me please
find the value of each variable using sine and cosine. round your answers to the nearest tenth
Answer:
x=9.5 and y=15.3
Step-by-step explanation:
to find x you do sine of 32 = x/18 because the sine is opposite/hypotenuse
you put in a calculator sine (32) x 18 and get 9.538546756
so x equals 9.538546756 but it says to round to the nearest tenth so x equals 9.5
to find y you do the cosine of 32 = y/18 because cosine is adjacent/hypotenuse
cosine of (32) x 18 = 15.26486573 so you equals 15.26486573 but since you have to round to the nearest tenth y = 15.3
The value of x is 9.54.
The value of y is 15.3.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = Perpendicular / Hypotenuse
Cosec = Hypotenuse / Perpendicular
Cos x = Base / Hypotenuse
Sec x = Hypotenuse / Base
Tan x = Perpendicular / Base
Cot x = Base / Perpendicular
We have,
From the figure,
Sin 32 = x / 18
Cos 32 = y / 18
Now,
Sin 32 = 0.53
Cos 32 = 0.85
Now,
0.53 = x / 18
Multiply 18 on both sides.
x = 0.53 x 18
x = 9.54
0.85 = y / 18
Multiply 18 on both sides.
y = 0.85 x 18
y = 15.3
Thus,
The value of x is 9.54.
The value of y is 15.3.
Learn more about trigonometric identities here:
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In August, a grocery store averaged about 620 customers per day. In September, the average number of customers per day at the store was 1075. What was the approximate percent increase in the average number of customers per day from August to September?
255%
73%
70%
59%
A bag of garden soil weighs 38 pounds and holds 4 cubic feet. Find the weight of 15 bags in kilograms and the volume of 15 bags in cubic yards.
Answer:
The weight of 15 bags is 258.21 kilograms.
The volume of 15 bags is 2.222 cubic yards.
Step-by-step explanation:
Dimensionally speaking, a pound equals 0.453 kilograms and a cubic yard equals 27 cubic feet. We proceed to calculate the weight and the volume of 15 bags by following conversions:
Weight
[tex]x = 15\,bags \times \frac{38\,lb}{1\,bag}\times \frac{0.453\,kg}{1\,lb}[/tex]
[tex]x = 258.21\,kg[/tex]
The weight of 15 bags is 258.21 kilograms.
Volume
[tex]x = 15\,bags \times \frac{4\,ft^{3}}{1\,bag} \times \frac{1\,yd^{3}}{27\,ft^{3}}[/tex]
[tex]x = 2.222\,yd^{3}[/tex]
The volume of 15 bags is 2.222 cubic yards.
Step 6: Show how the masses of the objects affect the gravitational force between them.
a) Create a slide titled How the Masses of Objects Affect the Gravitational Force between
Them.
b) Include this table on your slide:
Mass of Object 1
(kg)
Mass of Object 2 (kg) Gravitational Force
(N)
1 x 1020 1 x 1020 1 x 1040
G
3 x 1020 1 x 1020 3 x 1040
G
2 x 1020 2 x 1020 4 x 1040
G
3 x 1020 4 x 1020 12 x 1040
G
c) Use the table to explain how the masses of Objects 1 and 2 relate to the gravitational force
between them
Answer:
134(47)√45
Step-by-step explanation:
46+24=12 dkkf
fjskkf
Answer:
ik this is late so sry but um hope this helps someone else in the future?
Step-by-step explanation:
We’re going to see how the masses of objects affect the gravitational force between them. Since gravitational force between two objects depends on the mass and distance between them, as you can see in the chart, as the mass of the objects multiplies, so does the gravitational force between them. To find the actual gravitational force between the two objects, you take the mass of both objects and multiply them. Let’s try and find the gravitational force between them. First, we have to find the mass of the object, so we’ll take the mass of objects 1 and 2 in the first equation. So let’s start with object 1, 1x10 to the 20th power which equals 10 to the 20th power, now object 2, 1x10 to the 20th power which equals 10 to the 20th power. Now we multiply the masses to get the gravitational force of 10 to the power of 40.
Hope you have a wonderful day and sry again that this is late
Which fraction has a value less than 5-7?
Answer:
3/4
Step-by-step explanation:
For the experiment of rolling an ordinary pair of dice, find the probability that the sum will be less than 4 or greater than 8.
Answer:
the probability is 3/6 or 1/2
Step-by-step explanation:
Markus receives dollar bills from his grandfather for one week. On The first day he received a one dollar. On the second day he received two dollars on the third day he received four dollars and on the fourth day he received eight dollars if continues how much money will Markus have by the end of the week.
Answer:
he will have $127 by the end of the week
A jacket was sold for $81 and was on sale for 10% off. What was the original price of the jacket before the sale?
Answer:
que no se hablar inglés o tu idioma por como hablé te ayudaria pero como no hablas español ps nd ps......bay
Multiply (x+5)(x-2).
Answer:
x^2+3x−10
Step-by-step explanation:
X^2+3x-10
First multiply x with (x-2)Next multiply 5 with (x-2) with + sign between them
x(x-2)+5(x-2)
X^2–2x+5x-10
X^2+3x-10
Answer: x^2-2x+5x-10
Step-by-step explanation:
multiply x1 by x2 which equals x^2 then x1 by -2 which is -2x then multiply 5 by x2 which is positive 5x then multiply 5 by -2 which is -10
Jeff Bezos, who owns Amazon, has a net worth of approximately $143.1 billion (as of mid-2018). An employee in the Amazon distribution center earns about $13 an hour. The estimated lifespan of the employee is 71 years. If the employee worked 24 hours a day, every day of the year from the moment of his birth, how many lifespans would it take for him to earn wages equivalent to Jeff Bezos' net worth? Round the answer to the nearest whole number.
Answer:
Lifetimes=17,698.39
Step-by-step explanation:
The number of hours, H, in the employee's lifetime is
H=24(365)(71)=621960
At 13/hour, this is lifetime wages of
13(621960)=8,085,480
Divide this into 143,100,000,000 to get
Lifetimes=17,698.39
Note that this does NOT imply that the employee is underpaid.
The zoo charges $14.50 for each visit, or you can buy a membership for $100
Answer:
Step-I’m going to need more information
Answer:
ill rather buy the membership
Step-by-step explanation:
Because its less money for more times to go to the zoo.
Word problem please help thank you
Answer:
The equation would be P(t) = 280t + 3310
The estimated number of moose in 2008 would be 8350 moose.
Step-by-step explanation:
First we will have to find out by how much will the number of moose increase each year. In order to do that we the number by which the population of moose increase, by the difference between 1991 and 1999. And so we get...
[tex]\frac{5830-3590 }{1999 - 1991} = \frac{2240}{8} = 280[/tex]
Now that we know by how much the number of moose increases each year, we can make the following equation...
Let "t" be the number of years from 1990, then...
P(t) = 280t + 3310
(if you are wondering why is it 3310, it is because you have to put in the number of moose that was there in 1990 and you can get that number by substracting 280 from the number of moose in 1991).
Based on the linear relation we figured out, the number of moose in 2008 would be predicted to be...
P(t) = 280t + 3310
P(2008 - 1990) = 280(2008 - 1990) + 3310
P (18) = 280(18) + 3310
P(18) = 8350
To begin a bacteria study, a petri dish had 2800 bacteria cells. Each hour since, the number of cells has increased by 7.2%. Let t be the number of hours since the start of the study. Let y be the number of bacteria cells. Write an exponential function showing the relationship between y and t.
We want to cover the poster with small stamps. We don't have any to begin with and we can't buy partial bags of stamps. Each bag of stamps 110.5 in covers . How many whole bags of stamps will we need to buy in order to completely cover the poster?
Answer:
2243.7?
Step-by-step explanation:
Answer:
not right i think
Step-by-step explanation:
Ms. Gonzalez buys folders for her office. She buys 4 small folders for every 1 large
folder. She buys 15 folders in all. Small folders cost $0.75, and large folders cost
$1.25. How much more money does Ms. Gonzalez spend on small folders than
large folders? Show your work.
Answer:
Step-by-step explanation:
The amount of money that Ms. Gonzalez spends on small folders than large folders will be $12.75.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Ms. Gonzalez buys folders for her office. She buys 4 small folders for every 1 large folder. She buys 15 folders in all. Small folders cost $0.75, and large folders cost $1.25.
Let 'x' be the number of small folders and 'y' be the large folders. Then the equations are given as,
x + y = 15 ...1
y = 4x ...2
From equations 1 and 2, then we have
x + 4x = 15
5x = 15
x = 3
Then the value of 'y' is given as,
3 + y = 15
y = 12
The cost of the small folder is given as,
⇒ $0.75 × 3
⇒ $2.25
The cost of the large folder is given as,
⇒ $1.25 × 12
⇒ $15
The difference is given as,
⇒ $15 - $2.25
⇒ $12.75
The amount of money that Ms. Gonzalez spends on small folders than large folders will be $12.75.
More about the solution of the equation link is given below.
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Classify each special right triangle in the length ratio of (Side1 : Side2 : hypotenuse)
Answer: i added a pic of the answers
Step-by-step explanation:
bro helppppppppppppp
Answer:
1. 2 and 2 is c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
14
Step-by-step explanation:
what is the sum of213,857?
Answer:
1079
Step-by-step explanation:
213
+857= 1070
sum means addition .
A school psychologist notes that the average number of times that students are disruptive during class is 1.4 [μ=1.4] times per day. Following recent classroom policy changes, the psychologist tests if the number of disruptions during class has changed. He records the following number of disruptions observed during a class day: 2, 4, 3, 5, 1, 1, and 4.
A. Test the hypothesis that the number of complaints has increased or decreased using a .05 level of significance.
B. Compute effect size using estimated Cohen's d.
Answer:
Reject the Null ;
0.928
Step-by-step explanation:
Given the data: 2, 4, 3, 5, 1, 1, 4
Sample mean = (2 + 4 + 3 + 5 + 1 + 1 + 4) / 7 = 2.857
Standard deviation, s = 1.57 ( using calculator)
The hypothesis :
H0 : μ = 1.4
H1 : μ ≠ 1.4
Since sample size is small, use T test
Test statistic :
Tstatistic = (x - μ) / s/sqrt(n)
Tstatistic = (2.857 - 1.4) / 1.57/sqrt(7)
Tstatistic = 1.457 / 0.593 = 2.455
Two tailed test at α = 0.05
Tcritical at df = 7-1 = 6 ; α = 0.05 = 2.447
Tstatistic > Tcritical ; reject the null
Since ;
2.455 > 2.447 ; we reject the null ;
There is significam evidence that Number of complaints has changed.
Effect size ;
d = (x - μ) / s
d = (2.857 - 1.4) / 1.57
d = 1.457 / 1.57
d = 0.928
what is 1+1 This isn't a trick question
Answer:
2
Step-by-step explanation:
Please help me with this word problem thank you
Answer:
10 miles per hour
Step-by-step explanation:
122-52= 70
70 miles/ 7 hours
10 miles per hour
HELPPP I NEED THIS BY 2:30
You bought a book for $5 and four bookmarkers. You spent a total of $13. How much did each bookmarker
cost?
*show work*
Answer:
they each costed $2
Step-by-step explanation:
all you do is take 5 and count how many fingers u have left then u get 2
Answer:
Each book mark is 2 dollars
Step-by-step explanation:
You subtract the $5 from the $13 and that is equal to 8 dollars. Then you divide 8 by the 4 bookmarks and the answer is 2 dollars.
which state ment correctly identifies the line of reflection
Help plz:)))I’ll mark u Brainliest
Step-by-step explanation:
The angle where the shadow ends is
[tex] \tan(x) = \frac{48}{60} \\ x = 38.66[/tex]
The distance from the tree to the angle of end shadow equal (60-20)=40ft
So the tall of tree is
[tex] \tan(38.66) = \frac{x}{40} \\ x = 40 \times \tan(38.66) \\ x = 32ft[/tex]
A right triangle has legs e and fand hypotenuse h. The value of e = 10. The angle opposite legfis
35º. Which expression can be used to find the length of the hypotenuse?
Answer:
[tex]hyp=\frac{10}{cos(35^o)}[/tex]
Step-by-step explanation:
The trigonometric function that uses the value of the angle, the value of the adjacent side (e) and the hypotenuse is the cosine of the angle as shown below:
[tex]cos(35^o)=\frac{adj}{hyp} =\frac{10}{hyp} \\hyp=\frac{10}{cos(35^o)}[/tex]
