Answer:
3 cubic inches
Step-by-step explanation:
v= 1/2 * b*h
v = 1/2 * 3*3
v =3 cubic meters
( only 70 % sure)
Write the recursive, arithmetic and explicit formula for the nth term of the sequence:
8, 1, -6, -13,... Then find the 10th term
Recursive Formula
[tex]\begin{cases}a_1 = 8\\a_n = a_{n-1}-7\end{cases}[/tex]
The top row says the first term is 8
The bottom row says that to get the nth term, we subtract 7 from the (n-1)th term. So basically we subtract 7 from each term to get the next term.
Note the subscripts tell us which term we're working with.
======================================================
Arithmetic Formula
We have a = 8 as the first term and d = -7 as the common difference.
a(n) = a + d(n-1)
a(n) = 8 + (-7)(n-1)
a(n) = 8 - 7n + 7
a(n) = -7n+15
The nth term arithmetic formula is a(n) = -7n+15
If you plug in n = 1, you should get a(n) = 8
If you plug in n = 2, you should get a(n) = 1
and so on.
=======================================================
Finding the 10th term
Plug in n = 10 to get
a(n) = -7n+15
a(10) = -7(10)+15
a(10) = -70+15
a(10) = -55
The 10th term is -55
la siguinete tabla mustran la correspondencia entre dos variables. Determina si es funcion o relacion
Answer:
where's the table. on és la taula?
Step-by-step explanation:
expand and simplify
(7 + √6)^(2). Give your answer in the form b+c√6
Step-by-step explanation:
[tex](7 \: + \: \sqrt{6} ) ^{2} [/tex]
[tex](7 + \sqrt{6)} (7 + \sqrt{6} )[/tex]
[tex]49 + 14 \sqrt{6} + 6[/tex]
[tex]55 + 14 \sqrt{6} [/tex]
The expanded and simplified answer is 55 + 14√6.
How to find the simplified form of an expression?The simplified form can be found by carrying out mathematical operations that are pending in the expression. Like the addition, subtraction, multiplication, or division of any number in the expression.
The given expression is expanded and simplified:Given: (7 + √6)^(2)
First, we have to square the expression and expand it.
(a + b)^2 = a^2 +2ab b^2
Similarly we can open the brackets of the given expression:
(7 + √6)^(2) = 49 + 2*7*√6 + 6
= 55 + 14√6
This is similar to the format b+c√6. Here b would be 55 and c would be 14. The given expression was expanded and written in the form of b+c√6.
Therefore, we have expanded and simplified the given expression as 55 + 14√6.
Learn more about the simplified form here: https://brainly.com/question/1698314
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answer the question below yoyoyoyoyoyoyo
What is the standard deviation of this data set? Use a calculator to help you.
Round your answer to the nearest tenth.
11,16, 22, 28, 29, 30, 31, 34, 37, 38, 43, 49, 56, 78,99
Answer:
23.2
Step-by-step explanation:
The sample standard deviation measures the spread of a data distribution of the sample. It is usually used to estimate the population standard deviation
23.2
The standard deviation of the given data set, with a mean of 40.06, is approximately 23.2 (rounded to the nearest tenth).
Option B is the correct answer.
We have,
Find the mean:
Mean = (11 + 16 + 22 + 28 + 29 + 30 + 31 + 34 + 37 + 38 + 43 + 49 + 56 + 78 + 99) / 15
= 601 / 15
= 40.06
Subtract the mean and square the differences:
(11 - 40.06)² = 844.48
(16 - 40.06)² = 578.8836
(22 - 40.06)² = 326.1636
(28 - 40.06)^² = 145.4436
(29 - 40.06)² = 122.3236
(30 - 40.06)² = 101.2036
(31 - 40.06)² = 82.0836
(34 - 40.06)² = 36.7236
(37 - 40.06)² = 9.3636
(38 - 40.06)² = 4.28
(43 - 40.06)² = 8.6436
(49 - 40.06)² = 79.92
(56 - 40.06)² = 254.0836
(78 - 40.06)² = 1439.4436
(99 - 40.06)² = 3473.9236
Calculate the mean of the squared differences:
The mean of squared differences.
= 7506.9632/15
= 500.4642
Take the square root of the mean squared differences:
Standard deviation = √(500.4642)
Standard deviation ≈ 23.223
Therefore,
The standard deviation of the given data set, with a mean of 40.06, is approximately 23.2.
Learn more about standard deviations here:
https://brainly.com/question/29115611
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A photo collage consists of seven equal-sized square photos arranged in a row to form a rectangle. If the total area of the collage is 567 square inches, what is the length of the collage? __ inches
Given:
Seven equal-sized square photos arranged in a row to form a rectangle.
Total area of the collage is 567 square inches.
To find:
The length of the collage.
Solution:
Let the side of each square be x inches.
Seven equal-sized square photos arranged in a row to form a rectangle.
So, length of rectangle is 7x and width is x.
Area of rectangle is
[tex]Area=Length\times width[/tex]
[tex]567=7x\times x[/tex]
[tex]567=7x^2[/tex]
[tex]\dfrac{567}{7}=x^2[/tex]
[tex]81=x^2[/tex]
Taking square root on both sides, we get
[tex]x=\pm \sqrt{81}[/tex]
[tex]x=\pm 9[/tex]
Side cannot be negative. So, x=9 inches.
Now,
Width = 9 inches
Length = 7(9) = 63 inches
Therefore, the length of the rectangle is 63 inches.
DO YOU KNOW THE ANSWER???
Answer: I think it is D x=8(k+c)
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
Isolate the variable by diving each side by factors that don't contain the variable, which is 8.
Factor x^2 + 9x + 14
Answer:
(x+2)(x+7)
Step-by-step explanation:
Factor out the expression and simplify if needed.
Answer:
(x+2)(x+7)
Step-by-step explanation:
what adds to 9: 2 and 7
what multiplies to 14: 2 and 7
Double bubble, put x in both of the bubbles, and positive 2 and 7, that is in factored form.
Explain Long division in your own words using at least 3 sentences.
Answer:
form of devision that takes longer bc it a fraction or decimal. first you want to get rid of the decimals. then devide the numbers from the lowest to the highest
I may be wrong been for ever since I did it on paper
Answer:
arithmetical division in which the divisor has two or more figures, and a series of steps is made as successive groups of digits of the dividend are divided by the divisor, to avoid excessive mental calculation.l
hope it helps
What is the slope of the line that passes through the points (-6,-4) and
(-12, –4)? Write your answer in simplest form.
Answer:
0
Step-by-step explanation:
Use slope intercept form: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\frac{-4-(-4)}{-12-(-6)}[/tex] = [tex]\frac{0}{-6}[/tex] = 0
What is the y-intercept of the graph of the linear function?
Three years ago Jolene by $800 worth of stock in a software company since in the value of her purchase has been increasing average rate of 12 1/2 cent per year how much is the stock worth now
Answer:
The value of stock now = $966.35Step-by-step explanation:Given in question as, Three ... Three years ago, Jolene bought $800 worth of stock in a software company. Since then the value of her purchase has been increasing at an average rate of 6.5% per year.
Step-by-step explanation:
Answer:
£1464.84 is your answer
Step-by-step explanation:
Depending on whether you use simple or compound interest. I would think the stock would be worth:
$
750
×
1.25
=
$
937.50
at the end of one year,
$
937.50
×
1.25
=
$
1171.88
at the end of two years, and
$
1171.88
×
1.25
=
$
1464.84
at the end of three years.
Or, if you want to compute it in one shot,
$
750
×
1.25
3
=
$
1464.84
.
A hiker cycles 9 miles in 2/3 of an hour. Make a chart and fill it in to show how far he will bike if he maintains the same pace for 2 hours, 3hours, 3.5 hours.
Answer:
2 hours: 27 miles, 3 hours: 40.5 miles, 3.5 hours: 47.25 miles
Step-by-step explanation:
1.) If a hiker hikes 9 miles in 2/3 of an hour, he will hike 4.5 (Half of 2/3 is 1/3 and half of 9 is 4.5) miles in 1/3 of an hour and 13.5 miles per hour. (1/3 times 3 gives us a whole and 4.5 times 3 is 13.5)
2.) 2 hours: 13.5 * 2 = 27 miles
3.) 3 hours: 13.5 * 3 = 40.5 miles
4.) 3.5 hours: 13.5 * 3.5 = 47.25 miles
9 miles in 2/3 of a hour.
in 1 hour = 9 X 3/2 = 18.2 miles
In 2 hrs = 27 miles
in 3 hrs = 54.6 miles
in 3.5 hrs = 63.7 miles
YO CORRECT ANSWER FOR BRAINLIEST AND 45 POINTS
Answer: NO SOLUTION
This equation has no solution
explain how multiplying 4/10 and 3/10 is similar to multiplying 0.4 and 0.3 (please only answer if you for sure know the answer!!)
Pls help this is already past due
Answer:
Step-by-step explanation:
-5400/-450
12 minutes
Answer:
12 minutes
Step-by-step explanation:
If the rate of the plane is -450 meters per minute, then you have to use the "division" operation in order to know how much time it takes for the plane to reach an altitude of -5,400 meters.
-5,400 meters ÷ -450 meters/minute = 12 minutes
It will take 12 minutes for the plane to reach an altitude of -5,400 meters.
Let's check:
-450 meters x 12 minutes = -5,400 meters
PLEASE HELP 15 POINTS...PLEASE HELP
Answer:
-3/3
Step-by-step explanation:
Answer:
100
Step-by-step explanation:
The double number line shows that 555 pounds of avocados cost \$9$9dollar sign, 9.
Based on the ratio shown in the double number line, what is the cost for 111 pound of avocados?
Answer:
1 pound of avocado costs $1.8
Step-by-step explanation:
Allow me to rewrite your question for a better understanding and hope it ill fit the original one:
The double number line shows that 5 pounds of avocados cost $9. Based on the ratio shown in the double number line, what is the cost for 1 pound of avocados?
Here is my answer:
Given that:
5 pounds avocados = $9
They want to find out:
cost of 1 pound of avocado
So we use division to solve this problem:
$9:5 pounds = $1.8/pound or:
1 pound of avocado costs $1.8
Hope it will find you well
Thank you.
can i get brainliest by any chance i need 2 more
Work out the area of Triangle ABC
Just to confirm, these are the numbers,
Bottom right: √2cm
Bottom Left: 3√2cm
Middle right: 2√5cm
The main idea is using the Pythagorean formula to find the length of line segment [tex]DB[/tex].
Alr so you use the formula [tex]A^2 + B^2 = C^2[/tex]
[tex]C^2[/tex] is already given and is [tex]2\sqrt{5}[/tex]
and [tex]A^2[/tex] is [tex]3\sqrt{2}[/tex]
So using algebraic rules you'll get [tex]B[/tex] as:
[tex]\sqrt{2}[/tex]
Now using the formula: [tex]\frac{1}{2} b * h[/tex], you can find the area of tri ABD and CBD which would be [tex]3[/tex] and [tex]1[/tex] so add them up and you get [tex]4[/tex]!
what is the slope of ( -4,-1) , (8 - -7)
8n+16.2=1.6 what is the variable n
Answer:
n= -1.825
Step-by-step explanation:
S= CB-7, for C.
What is the Answer to this?
Answer:
C = (S + 7) / B
Step-by-step explanation:
S = CB - 7
S + 7 = CB
C = (S + 7) / B
Hope this helps!
PLEASEE HELP ASAP!!
WHAT IS THE SLOPE OF THIS GRAPH
Answer:
Step-by-step explanation:
(-4,0) (-2, -3)
(-3-0)/(-2+4)= -3/2
Kayla is 9 years younger than Jay. The sum of their ages is 73. How old is Kayla?
Kayle is 27 Jay is 46
Answer:
63
Step-by-step explanation:
Just subtract.
Which of the following results in the expression 0.86 x 22?
Answer: 18.92
Step-by-step explanation: Multiply
22 by 0.86
Answer:
18.92
Step-by-step explanation:
Multiply 0.86 times 22
Ms. Johnson has 8 children in her preschool class. She
would like to give each student an equal number of
chocolates. If each child got 18 chocolates, how many
did she start with?
total number of students = 8
each student = 18 chocolate
so, total number of chocolates = 18×8 = 144 chocolate s
Holly says 4.131131113... is a rational number. Which of the following best describes whether Holly is correct and why??
Holly is correct. Repeating decimals are always rational numbers.
Holly is correct. The number is positive and all positive numbers are rational.
Holly is incorrect. The decimal does not terminate, so it cannot be a rational number.
Holly is incorrect. The decimal part follows a pattern but does not actually repeat.
Answer:
D. Holly is incorrect. The decimal part follows a pattern but does not actually repeat.
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
.) Freddy is 6 years older than twice his nephew's age. The sum of their ages is
57. How old are Freddy and his nephew?
Answer:
Freddy is 40
his nephew is 17
Step-by-step explanation:
6+2n +n=57 6+2n or 6+2(17
6+3n=57 6+34
3n=51 40
n=17 f=40
cam wants to find 509-106. which steps can he use to find the difference
Answer:
C.
Step-by-step explanation:
the answer is 403
Answer:
C
Step-by-step explanation:
It wouldn't be A since 5 - 1 you would get 4 hundred not 4 tens. It wouldnt be B because 9 - 6 you would get 3 ones not 3 hundreds and 5-1 you would get 4 hundreds not 4 ones. It wouldnt be D because 9-6 would be 3 ones not 3 tens. Hope I helped ! Good luck !
A punch recipe calls for 3/4 cups of Sprite for 1 and 1/4 cups of juice. How much Sprite is needed for 5 cups of juice?
the answer is 3
could I get brainlisted?