Answer: n=-2
Step-by-step explanation:
Given
The length of the football field is [tex]300\ ft[/tex]
In the mile, it can be expressed as [tex]5.7\times 10^n\ mile[/tex]
Also, [tex]5280\ ft=1\ mile[/tex] or
[tex]1\ ft=\dfrac{1}{5280}\ miles\\\\1\ ft=1.893\times 10^{-4}\ miles[/tex]
converting [tex]300\ ft[/tex] to miles
[tex]\Rightarrow 300\times 1.893\times 10^{-4}\\\Rightarrow 5.68\times 10^{-2}\approx 5.7\times 10^{-2}[/tex]
Comparing it with the given value [tex]5.7\times 10^n\ mile[/tex]
we get [tex]n=-2[/tex]
In a cookie jar, ¼ of the cookies are chocolate chip, and ½ of the rest are peanut butter. What fraction of all the cookies is peanut butter?
3 |3 - 5x| - 8= -8
How many solutions does this Absolute Value Equation have? *
Please!!!!!
Answer:
3 |3 - 5x| - 8= -8
x = 3/5
Answer:
one solution at 0.6
Step-by-step explanation:
3|3-5x| = 0
|3-5x| = 0
3-5x = 0
-5x = -3
x = 3/5 or 0.6
John wants to rent some office space for 8 years. The lease states that the annual rent is $62,000 for the first year and will increase by 4% each additional year of the lease. What will the total rent be for the entire 8-year lease? Round your answer to the nearest hundredth.
Group of answer choices
$496,000.00
$84,851.28
$571,282.03
$515,840.00
Answer:
The correct answer is $515,840.00
Step-by-step explanation:
Answer:
The total rent for the entire 8-year lease to the nearest hundredth is $84,851.28.
Step-by-step explanation:
The increment is 4% each year.
What is increment?
Increment is the amount or degree by which something changes especially the amount of positive or negative change in the value of one or more of a set of variables.
What is lease?
A lease is a legal, binding contract outlining the terms under which one party agrees to rent property owned by another party.
What is hundredth?
In arithmetic, a hundredth is a single part of something that has been divided equally into a hundred parts.
We use the formula,
[tex]A=P(1+\frac{R}{100})^{n}[/tex]
[tex]=62000(1+\frac{4}{100}))^{8} \\=62000(\frac{104}{100})^{8}\\ =84851.28[/tex]
The total rent for the entire 8-year lease to the nearest hundredth is $84851.28.
To know more about lease, hundredth, increment here
https://brainly.com/question/14804073
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plz help will mark brainlist
Answer:
1. 1/7
2. 1/4
Step-by-step explanation:
maths
Find the volume of the regular prism
Answer:
64
Step-by-step explanation:
Here is why:
The formula for Volume is Length * Width * Height
In this case 4*8*2.
Any Questions?
The correct answer is 64 square cm.
The formula to find the volume of a rectangular prism is length x height x width (i.e., lwh).
Input the values first:
4 x 8 x 2
Then calculate the expression:
4 x 8 x 2 = 64
I hope this helps; have a wonderful day!
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SA=240sq.cm
have an amazing day <3
HELP ME PLS PLS PLS OH PLS
Answer:
49 - 49 = 0
Step-by-step explanation:
PLEASE MARK AS BRAINLIEST
Find the distance between the two points.
(12, 5), (−12, −2)
Answer:
25
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
use the formula
√(x2 - x1)² + (y2 - y1)²
here x2 = -12 , x1 = 12 , y2 = -2 and y1 = 5
so just substitute in the formula like this
√ ( -12 -12)² + (-2 - 5)²
√(-24)² + (-7)²
√ 576 + 49
√625
25
Find m<1, m<2, and m<3
Answer:
<1 = 113
<2 = 67
<3 = 113
Step-by-step explanation:
m<2 = 67 (because of vertical angles)
<1 + 67 = 180
<1 = 113
<1 = <3 because of vertical angles
Mr. Glass solved a system of equations using substitution and got the following result:
12= -4
What should he write as his final answer?
Answer: no solution
Step-by-step explanation:
How much time does it take for a bird flying at a speed of 45km/h to travel a distance of 1800km?
Answer:
40 hours
Step-by-step explanation:
Time=Distance/Speed
Time=1800/45
Time=40 hrs
Answer:
[tex]40h[/tex]
Step-by-step explanation:
[tex]speed = \frac{distance}{time} \\ time = \frac{d}{s} \\ = \frac{1800km}{45kmh ^{ - 1} } \\ = 40h[/tex]
hope this helps you.
Can I have the brainliest please?
Have a nice day!
Can someone help me with this problem? Its due today plz i need help! I will give brainlist if it is right!
Answer:
A (-4,0), B (0,3) and C (-6,5)
Step-by-step explanation:
The coordinates for A are (-4,-3) B (0,0) and C (-6,2)
From there just add 3 to all theY values
The coordinates of the translated triangle would be A (-4,0), B (0,3) and C (-6,5)
Hope that helps!
which relation is not a function? A. {(2, 3), (4, 5), (10, 12), (15, 16) B. {(-5, 20), (6, 13), (8,20),(11,8) C. {(0, 8), (0, -4), (7, 4), (12, 1) D. {(4, 1/4), (9, 1/9), (17, 1/7), (18, 1/8)
please help
Answer:
C. {(0, 8), (0, -4), (7, 4), (12, 1)
Step-by-step explanation:
hope it help
good luck
HELP!(WILL GIVE BRAINLIEST) I ALSO HAVE LOTS OF POINTS IN MY PROFILE.
Julie Fargus deposits $450 in a savings account at City Bank. The account pays an annual interest rate of 3.125 percent. She makes no other deposits or withdrawals. After nine months the interest is calculated. How much simple interest does her money earn?
Answer:
$10.55
Step-by-step explanation:
Which item is discounted by more than 15%
A. $199.99 smartphone on sale for $167.99
B. $28,100 car on sale for $24,750
C. $58 jeans on sale for $50
D. $1.99 song download on sale for $1.75
Answer:
A
Step-by-step explanation:
Joe jumped 60 inches. Omar jumped 4 feet, 10 inches. Who jumped farther?
Explain your thinking.
Answer:
Joe jumped farther because 60in is greater than 58in
Step-by-step explanation:
First you need to convert 4ft 10in into just inches in order to compare distances:
there are 12in per foot so 4(12)= 48 add the 10 in =58in
Joe jumped 60in and Omar jumper 58in
Solve for x.
One side = 10
Another side = 9
One side = x
(It's a right triangle.)
Answer:
x = 4.3588989435406
I hope it's helps you
A cylinder has a height of 17 inches and a radius of 8 inches what is the use π = 3.14 and round your answer to the nearest hundredth
Answer:
3418.05
Step-by-step explanation:
330 six graders were asked what their favorite sport is. 20% said baseball, how many students said baseball
Answer:
66
Step-by-step explanation:
10% of 330 = 33
another 10% of 330 = 33
therefore, 20% of 330 = 66
Is (–3, –10) a solution to this system of inequalities? y ≥ 7x − 2 y < 4x + 7
Answer:
No, it is not a solution
Step-by-step explanation:
Given the inequality y ≥ 7x − 2 and y < 4x + 7, they can be combined and written as;
7x-2≤y<4x+7
Equate both values of y, the point of intersection occurs when;
7x-2 = 4x+ 7
7x - 4x = 7 + 2
3x = 9
x = 9/3
x = 3
Substitute x = 3 into y = 7x - 2
y = 7(3) - 2
y = 21 - 2
y = 19
Hence the possible solution will be at (3, 19). Hence the solution (-3, -10) is incorrect
Someone help plz make sure it’s right will mark brainiest if it is :)
Answer:
23
Step-by-step explanation:
Give brainliest! F (x) = x³ + x² - x + 2 and G (x) = x² + 5 What is (FG)(x)?
Answer:
Step-by-step explanation:
My guess is x^5+x^4-X+7
Answer:
(F ° G)(x) = x⁶ + 16x⁴ + 84x² + 147
Step-by-step explanation:
Assuming that (FG)(x) = F ° G (x) = F(G(x))(F ° G) (x) = f(g(x)) = (x² + 5)³ + (x² + 5)² – (x² + 5) + 2
_________________________________
(a + b)³ = a³ + 3a²b + 3ab² + b³
(a + b)² = a² + 2ab + b²
_________________________________
(F ° G) (x) =
((x²)³ + 3(x²)²(5) + 3(x²)(5)² + (5)³) + ((x²)² + 2(x²)(5) + (5)²) + (-x² – 5) + 2 =
(x⁶ + 15x⁴ + 75x² + 125) + (x⁴ + 10x² + 25) + (-x² – 5) + (2) =
x⁶ + 16x⁴ + 84x² + 147
Baking flour mixture was made by combining 4 ounces of bleached flour which costs $8 per
ounce with 16 ounces of unbleached flour which costs $3 per ounce. What is the cost per ounce
of the mixture?
4 ounces x $8 per ounce = $32
16 ounces x $3 per ounce = $48
4 ounces + 16 ounces = 20 total ounces
$32 + $48 = $80 total cost
$80 / 20 ounces = $4 per ounce cost
In a right triangle, the base is 12 m and the hypotenuse is 15 m. What is the length of height?
A. 81m
B. 9 m
C. 12 m
D. 19.2 m
HELP NOW PLEASE
Answer:
L = Hyp²-B²
L=15²-12²
L =225 - 144 = 81
L= √81=9
L= 9mA shipping crate is packed with unit cubes the length of the crate is four units the width is two units and a height is four units find the volume of the shipping crate
Answer:
32 unit cubes
Step-by-step explanation:
Volume = length x width x height
Volume = 4 x 2 x 4
Answer:
32 unit cubes
Step-by-step explanation:Volume = length x width x height
Volume = 4 x 2 x 4
solve the following
x^2-2x-24=0
X^2-11+18=0
Answer:
x=-11
Step-by-step explanation:
8X=35
WHAT IS THE VALUE FOR X THAT MAKES THE EQUATION TRUE?
Answer:
x= 35/8 or 4 3/8
Step-by-step explanation:
8X=35
/8 /8
x= 35/8
x= 4 3/8
4.The number 840 and 8316, written as the products of their prime factors, are 840 = 2 x 3 x 5x 7 and 8316 = 22 x 33 x 7 x11. Hence, find the i. `Smallest whole number that is divisible by both 840 and 8316 ii. Greatest whole number that will divide both both 840 and 8316
Answer:
a) 83160
b) 12
Step-by-step explanation:
The prime factors of 840 are 2 x 3 x 5x 7*2*2
Prime factors of 8316 are 2*2*11*3*3*3
a) `Smallest whole number that is divisible by both 840 and 8316
We are supposed to find the LCM of the two numbers which is equal to
2*2*11*5*7*3*3*3*2 = 83160
b) Greatest whole number that will divide both both 840 and 8316
2*2*3 = 12
Study the function below and then answer the questions that follow. Equation What is the domain of f(x)? What is the range of f(x)?
Answer:
(a) Domain: All real numbers except -2
(b) [tex]f(x) > -4[/tex]
Step-by-step explanation:
Given
See attachment for f(x)
Solving (a): The domain
From the attached image, we have:
[tex]f(x) = -x - 2, x <-2[/tex]
[tex]f(x) = -x^2, -2 < x < 0[/tex]
[tex]f(x) = x, x \ge 0[/tex]
To get the domain, we consider the inequalities attached to each of the piece-wise function
[tex]x < -2[/tex]
This implies that the values of x is less than -2 i.e.
[tex]x = \{.......,-4,-3\}[/tex]
[tex]-2< x<0[/tex]
This implies that x is greater than -2 and less than 0 i.e.
[tex]x = \{-1\}[/tex]
[tex]x \ge 0[/tex]
This implies that x is greater than or equal to 0 i.e.
[tex]x =\{0,1,2,3,....\}[/tex]
If these values of x are merged, we have:
[tex]x = \{.......,-4,-3,-1,0,1,2,3.....\}[/tex]
[tex]x = \{-\infty,..,-4,-3,-1,0,1,2,3,...,\infty\}[/tex]
-2 is not included in the above values of x.
Solving (b): The range
From the attached image, we have:
[tex]f(x) = -x - 2, x <-2[/tex]
[tex]f(x) = -x^2, -2 < x < 0[/tex]
[tex]f(x) = x, x \ge 0[/tex]
Substitute the greatest value of x in each piece-wise function.
[tex]f(x) = -x - 2, x <-2[/tex]
[tex]x=-2[/tex]
So;
[tex]f(-2) = -2-2 = -4[/tex]
[tex]f(x) = -x^2, -2 < x < 0[/tex]
[tex]x = -2[/tex]
So:
[tex]f(-2) = -2^2 = -4[/tex]
[tex]f(x) = x, x \ge 0[/tex]
[tex]x = \infty[/tex]
So;
[tex]f(\infty) = \infty[/tex]
We have:
[tex]f(-2) =-4[/tex]
[tex]f(-2) =-4[/tex]
[tex]f(\infty) = \infty[/tex]
The smallest value of f(x) is -4
Hence, the range is:
[tex]f(x) > -4[/tex]
Answer:
Domain is
B)
(-infinity, -2) U (-2, infinity)
Range is (-4, infinity)
Step-by-step explanation:
go it correct
edge2022
sin^2A-cos^2B=sin2^B-cos^2A
Answer:
see explanation
Step-by-step explanation:
Using the trig identity
sin²x + cos²x = 1 , then
sin²x = 1 - cos²x
cos²x = 1 - sin²x
Consider the left side
sin²A - cos²B
= (1 - cos²A) - (1 - sin²B) ← distribute parenthesis
= 1 - cos²A - 1 + sin²B
= sin²B - cos²A
= right side , thus verified