The most reasonable value of n n = -2.
We have given that the length of the football field = 300 feet
It can also be expressed as approximately [tex]5.7\times 10^{n}miles[/tex]
What is the value of one mile in feet?Also, 1 mile = 5280 feet....(1)
We have to find 1 feet so divide both side of equation (1)by by 5280 we get,
[tex]1feet=\frac{1}{5280}[/tex]
Now, for 300 feet is,
[tex]300feet=\frac{1}{5280}(300)[/tex]
[tex]300 feet=0.056818181=0.057miles[/tex]
In scientific notation we have,
[tex]300 feet=5.7\times 10^{-2}miles[/tex]
Therefore we get n = -2.
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Please Help!!!!!!!
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Answer:
○ [tex]\displaystyle x^2 + 4x + 13[/tex]
Step-by-step explanation:
Sinse this expression is unfactourable with rational quantities, use the Quadratic Formula:
[tex]\displaystyle -B ± \frac{\sqrt{B^2 - 4AC}}{2A} = x\\ \\ -4 ± \frac{\sqrt{[-4]^2 - 4[1][13]}}{2[1]} = x \hookrightarrow -4 ± \frac{\sqrt{16 - 52}}{2} = x \hookrightarrow -4 ± \frac{\sqrt{-36}}{2} = x \hookrightarrow \frac{-4 ± 6i}{2} = x \\ \\ \boxed{-2 - 3i, -2 + 3i = x}[/tex]
I am joyous to assist you at any time.
a box contains 576 marbles of six different colors if there are 254 boxes how many marbles are in all the boxes
-3.5 divided by 1.25
Answer:
-2.8
Step-by-step explanation:
[tex] \frac{ - 3.5}{1.25} = - 2.8[/tex]
Find g (x) for each x- value in the table
Answers: 0.125, 1, 8, 64, 512
Step-by-step explanation: Hope this helps! :)
[tex]8^{-1} = 0.125[/tex]
[tex]8^{0} = 1[/tex]
[tex]8^{1} = 8[/tex]
[tex]8^{2} = 64[/tex]
[tex]8^{3} = 512[/tex]
. Niara goes bowling.
• She has $25.00 to spend.
• She spends $4.25 to rent shoes.
• She spends $2.50 for each game she bowls.
Which inequality can Niara use to determine x, the greatest number of games she can bowl?
Answer:
Step-by-step explanation:She can bowl 8 games and what I did was subtract the $4.25 from the $25and thethen divide the rest by the 2.52.50
The owner expects that you hand wash each coffee pot before the
coffee shop opens. You spend 72 minutes cleaning the coffee pots.
It takes you 4 1⁄2 minutes to clean a coffee pot. How many coffee
pots are there?
Step-by-step explanation:
it's simply going to be total time divided by the time to was one pot
What is the area of the rectangle 150 yards 200 yards
Answer:
30,000 square yards
Step-by-step explanation:
What is the ratio of the length of DĚ to the length of BC?
Answer: 1.4
Step-by-step explanation:
factor the following expression.
x^2 + 14x + 8
Answer:
Answer:
(x+12) (x+2)
Step-by-step explanation:
x^2+14x+24
24x^2. factors= +12, +2
(x+12) (x+2)
Please help quick!!!!!!
Answer:
A
Step-by-step explanation:
the sides s of a cube are congruent
the volume (V) of a cube is calculated as
V = s³ = 2³ = 8 ft³
What is the 9 th term of the sequence: 24, 12, 6, 3..
Answer:
24, 12, 6, 3, 1.5, 0.75,0.375, 0.1875, 0.09375
The BOLD number is your answer, and the other ones are the sequence. oof, that was a lot of calculating!
Thanks!
Answer:
0.046875
Step-by-step explanation:
Each number is being divided in half each time.
24 / 2 = 12
12 / 2 = 6
6 / 2 = 3
3 / 2 = 1.5
1/5 / 2 = 0.75
0.75 / 2 = 0.375
0.375 / 2 = 0.1875
0.1875 / 2 = 0.09375
0.09375 / 2 = 0.046875 <--- This is the ninth term of the sequence.
the distance traveled,d, and the speed,s which is dependent and which is the independent variable
Step-by-step explanation:
Speed is independent and distance is dependent
Distance depends on the speed
Speed influences the distance
The length of the base of an isosceles triangle is x. The length of a leg is 5x - 7. The perimeter of the triangle is 151. Find X.
Answer:
137/11 or approx. 12.45
Step-by-step explanation:
Footware manufacturing is projected to decrease output by 8. 4% from 2006 to 2016. If footware manufacturing had 1. 8 billion dollars of output in 2006, approximately how much output is expected in 2016? a. $1. 95 billion b. $2. 64 billion c. $1. 55 billion d. $1. 65 billion Please select the best answer from the choices provided A B C D.
can someone please help me with this
Answer:
The sine of an angle is equal to the cosine of its complementary angle, and the cosine of an angle is equal to the sine of its complementary angle.
Step-by-step explanation:
so the answer is D.
Please help if you can. Thanks!
Answer:
85 Square Units
Step-by-step explanation:
We need to start by finding the area of the triangle:
(base*height)/2
[tex]\frac{17*10}{2} =85[/tex]
Then we find the area of the rectangle:
Height*Width= 170
Then we finally take the area of the rectangle (170) and subtract the area of the triangle (85) and we get the answer of 85.
You and a friend are playing a game by tossing two coins. If both coins land on heads,
you win. If both land on tails, your friend wins. Otherwise, nobody wins. The table shows
the possible outcomes.
Is this a fair game?
Answer:
I'm not 100% sure but i think its a
Step-by-step explanation:
Both have 2 heads and 2 tails so that's 4 and it's a fair game and b is wrong and you will eliminate c.
The game is fair because there is an equal chance of winning an losing the game.
What is probability?Probability is simply how likely something is to happen.
Probability formula[tex]P(E )=\frac{Number\ of \ favorable\ outcomes }{Total\ number \ of outcomes}[/tex]
Where,
P(E) is the probability of an event.
What is the fair game?A fair game is the game in which there is an equal chance of wining or losing.
According to the given question.
Two coins are tossed.
[tex]\implies sample\ space= \{ HH, HT, TH, TT\}[/tex]
[tex]\implies total\ number \ of outcomes = 4[/tex]
Therefore,
The probability that you win is given by
[tex]P(E_{1} )=\frac{Number\ of \ favorable\ outcomes }{Total\ number \ of outcomes}[/tex]
[tex]\implies P(E_{1} )= \frac{1}{4}[/tex] (getting HH is a favorable outcome)
[tex]\implies probability\ of\ losing\ the\ game = 1-\frac{1}{4} =\frac{3}{4}[/tex]
And, the probability that your friend wins the game is given by
[tex]P(E_{2}) = \frac{Total\ number\ of\ favorable\ outcomes\ }{Total\ number\ of\ outcomes}[/tex]
[tex]\implies P(E_{2} )=\frac{1}{4}[/tex] (getting TT is the favorable outcome)
[tex]\implies probability\ of\ losing\ the\ game = 1-\frac{1}{4} =\frac{3}{4}[/tex]
Hence, the game is fair because there is an equal chance of winning an losing the game.
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Consider the function. Which conclusions can be drawn about f–1(x)? Select two options. F–1(x) has a slope of. F–1(x) has a restricted domain. F–1(x) has a y-intercept of (0, –36). F–1(x) has an x-intercept of (–36, 0). F–1(x) has a range of all real numbers.
The required function is [tex]y = -\frac{3}{2} x -36[/tex] having domain and range as R and y-intercept is -36.
Given function
y=f(x) = [tex]-\frac{2}{3} x -24[/tex]
What is an inverse function?An inverse function is a function that returns the original value for which a function has given the output. If f(x) is a function that gives output y, then the inverse function of y, i.e. f-1(y) will return the value x.
In order to get inverse function [tex]f^-1x[/tex] let us arrange the given function
[tex]y+24 = -\frac{2}{3} x[/tex]
[tex]x = -\frac{3}{2} y-36[/tex]
Now, replace x with y and vice versa.
[tex]y = -\frac{3}{2} x -36[/tex]........(1)
or, [tex]f^-1x = -\frac{3}{2} x -36[/tex]
(1) will be the inverse function of the given function.
For x-intercept put y = 0 and for y-intercept put x=0 in eq(1)
x-intercept = -24
y-intercept = -36
The domain and range of f⁻¹x = set of all real numbers since f⁻¹x is a straight line equation, domain, and range of which is set of all real numbers.
Therefore, the required function is [tex]y = -\frac{3}{2} x -36[/tex] having domain and range as R and y-intercept is -36.
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Answer:
d and e
Step-by-step explanation:
did the test
What’s the midpoint of a line segment joining the points (5,-4) and(-13,12)?
Great question! A midpoint is exactly what it sounds like; the point in the middle of two objects (in this case it's the middle of these two coordinates). Another way to think of the middle of something in math is by using the average. To find the midpoint of two points, we just find the average of the x-values and the average of the y-values:
((x1 + x2)/2 , (y1 + y2)/2)
((5 + -13) / 2 , (-4 + 12) / 2)
( -8 / 2 , 8 / 2)
(-4 , 4)
F=9/5c+32 Is there a proportional relationship between c and f why?
Answer:
that looks hard
Step-by-step explanation:
thx for the points
Noetic Math Challenge
Maggie is celebrating her mom's 37th birthday. After Maggie placed
7 candles on the cake, she realized there weren't enough candles.
She decided to replace some candles on the cake with number 7
candles. If each number 7 candle represents 7 years and each
regular candle represents 1 year, how many regular candles on the
cake should Maggie replace with number 7 candles so that all the
candles on the cake add up to exactly 37 years? ?
Answer:
Step-by-step explanation:
maggie should get 37 candles in order for the 37 birthday
M is directionally proportional to r^3. when r=4, M=160. work out value of M if r=2
Answer:
M = 20
Step-by-step explanation:
given M is directly proportional to r³ then the equation relating them is
M = kr³ ← k is the constant of proportion
to find k use the condition when r = 4, M = 160 , then
160 = k × 4³ = 64k ( divide both sides by 64 )
[tex]\frac{160}{64}[/tex] = k , then
k = 2.5
M = 2.5r³ ← equation of proportion
when r = 2 , then
M = 2.5 × 2³ = 2.5 × 8 = 20
Write a function rule for the table.
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
The expression above can also be written in the form Val
For this expression, a
and c
[tex]\\ \rm\Rrightarrow 7^{\frac{9}{4}}[/tex]
[tex]\\ \rm\Rrightarrow 7^{9\times \frac{1}{4}}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt[4]{7^9}[/tex]
Done!
Jackson went to the mall and found a pair of jeans on sale at American Eagle. The original price of the jeans was $45.50, but they were on sale for 40% off. What was the amount of the discount?
Answer:
The discount is $18.20 which changes the price of the jeans to $27.30.
the product of 982.311 and 2.43
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Beth is working in the concession stand during a football game. Each hot dog sells for $6 and a soda is $4. At the end of the first half, Elizabeth sold 46 items, and made $118. How many hot dogs and sodas did she sell?
Write your answer in a complete sentence.
Use systems of equations to find your answer.
Both equations are correct - 4 points
Math to get answer is all shown and is correct - 4 points
Sentence answer - 2 points
Answer:
Straightforward: 70 + 48 or 72 + 46
With other ways: below ↓
Make a ratio and increase.
6:4
Find the least common multiples.
72:48
Next, take these 2 out of ratio form and add them together.
72
+48
120
Since the closest we get is 120...
We must change the LCM'S to get the true number. Either way, it will work if you reduce 48 by 2, or 72 by 2. Same answer.
[tex]120-2=118dollars\\72 - 2\\48 - 2[/tex]
Therefore,
Our problem answer can be seen as the original ratio, but modified, 72:48 or simply 70 + 48. For the ratio to be correct, you would have to factorize the least common multiples and re-add. I would not recommend this.
The first three steps of completing the square to solve the quadratic equation x² + 4.0 - 6 = 0 are shown
below.
Step 1: x2 + 4x = 6
Step 2: x² + 4x + 4 = 6+4
Step 3: (x + 2)2 = 10
What are the next 3 steps?
Answer:
The next 3 steps are:
#1: [tex]\sqrt{ (x+2)^{2}} =\sqrt{10}[/tex] -- Using the square root method, we're going to find the square root of both sides.
#2: [tex]x+2 = \frac{+}{} \sqrt{ 10 }[/tex] -- When finding the square root of 10 it has to be + and minus.
#3: [tex]x + 2 = \frac{+}{}\sqrt{10} \\ -2 \ \ \ \ \ \ \ -2\\[/tex] -- Subtract 2 on both sides
#4 (solution): [tex]x = -2 \frac{+}{} \sqrt{10}[/tex]
elimination method steps
Answer:
Remarks:The method used in solving the example above is called the elimination method, because we eliminate one variable first, to get a linear equation in one variable. In the example above, we eliminated y. We could also have eliminated x. Try doing it that way. 2. You could also have used the substitution, or graphical method, to solve this problem. Try doing so, and see which method is more convenient.
steps of elimination method: Step 1:First multiply both the equations by some suitable non-zero constants to make the coefficients of one variable (either x or y) numerically equal. Step 2: Then add or subtract one equation from the other so that one variable gets eliminated. If you get an equation in one variable, go to Step 3. If in
Step 2:we obtain a true statement involving no variable, then the original equations has infinitely many solutions. If in Step 2, we obtain a false statement involving no variable, then the original pair of equations has no solution, i.e., it is inconsistent.
Step 3:Solve the equation in one variable (x or y) so obtained to get its value.
Step 4:Substitute this value of x (or y) either of the original equations to get the value of the other variable.
Step-by-step explanation:
hope it helps you<3What is the solution to this system of equations?
Answer:
(1, 3) depending if it counts as 1 2 3 4 5... not 1...5...10
Step-by-step explanation:
so i think the solution was where the two lines cross?
Answer:
(-1,3)
Step-by-step explanation:
The solution to the system of equations is where the two graphs intersect.
The two lines intersect at x=-1 and y = 3
(-1,3)