The table shows the length and width of Florida at its most distant points.
Determine the prime factorization of the length . Use "^" for the exponent and "x" for the multiplication.
Measurement. Distance (mi)
Length. 500
Width. 160
An example of prime factorization is the following:
Find prime factorization of 50.
1st find the factors of 50 until you only have prime numbers.
1x50
2x25=2x5x5
So the prime factorization of 50 is: 2x5^2
Answer:
5*10^2
Step-by-step explanation:
Length = 500
500= 5 *100
100=10^2
500= 5 *10^2
the diagonal of a square has a length of 10. what is the area of the square?
Answer:
50
Step-by-step explanation:
Diagonal of square = 10
Use special triangles to find the area because a square's diagonal divides the 90 degree angles into 45 degrees
45-45-90 triangle
x : x : x√2
1 : 1 : 10
10=x√2
10/√2=x, rationalize denominator and you get 5√2 as the square's side length
Area is s^2, s being the length of a side
(5√2)^2=25*2=50
I'm always forgetting how to do mean absolute deviation. Can someone remind me what the process is please?
Answer:
Take each number in the data set, subtract the mean, and take the absolute value. Then take the sum of the absolute values. Now compute the mean absolute deviation by dividing the sum above by the total number of values in the data set. Finally, round to the nearest tenth.
Step-by-step explanation:
Evaluate this expression if x = -4, y = 5, and z = -13.
x - (-z)
Answer:
-17
Step-by-step explanation:
x - (-z)
Subtracting a negative is like adding
x+z
x = -4 and z = -13
-4 + -13
-17
Answer:
[tex]-17[/tex]
Step-by-step explanation:
Step 1: Evaluate the expression
[tex]x - (-z)[/tex]
[tex]-4 - (-(-13))[/tex]
[tex]-4 - (13)[/tex]
[tex]-4 - 13[/tex]
[tex]-17[/tex]
Answer: [tex]-17[/tex]
find three consecutive integers for which 3 times the sum of the first and third integers is -342? show step by step
Answer: The integers are -58, -57, -56.
Step-by-step explanation:
The difference between two consecutive integers is 1.
If you let the smallest of the three consecutive integers equal x, then the next greater one is x + 1, and the greatest of the three is x + 2.
Integers: x, x + 1, x + 2
The sum of the first and third is: x + x + 2
3 times the sum of the first and third is: 3(x + x + 2)
That product equals -342.
3(x + x + 2) = -342
3(2x + 2) = -342
Divide both sides by 3.
2x + 2 = -114
Subtract 2 from both sides.
2x = -116
Divide both sides by 2.
x = -58
x + 1 = -57
x + 2 = -56
The integers are -58, -57, -56.
If x is an integer, what is the least possible value for x that satisfies the inequality?
-5x - 12 < 33
A. -10
B. -9
C. -8
D. 9
E. 10
Answer:
C. -8
Step-by-step explanation:
We have to solve the inequality by isolating x.
-5x - 12 < 33
Add 12 to both sides.
-5x < 45
Divide both sides by -5 (remember to flip the sign when dividing by a negative).
x > -9
The least possible value for x that satisfies this inequality is -8.
1. Rút gọn biểu thức A(x) = (x+2)(x+3)(x+5) - (x-1)(x+4)(x+7). Từ đó tìm tất cả các giá trị x sao cho A(x) = 0.
x = -29/7
Step-by-step explanation:
A(x) = (x^2 + 5x + 6)(x + 5) - (x^2 + 3x - 4)(x + 7)
= (x^3 + 10x^2 + 31x + 30) - (x^3 + 10x^2 + 17x - 28) = 14x + 58
A(x) = 0 => 14x + 58 =0 => x = -58/14 = -29/7
Answer:
778744
Step-by-step explanation:
387t98878989890
Please help
Quadrilateral ABCD is a parallelogram. Let E be a point on AB, and let F$\ be the intersection of lines DE and BC The area of triangle EBF is 1, and the area of triangle EAD is 9. Find the area of parallelogram ABCD.
Answer:
24
Step-by-step explanation:
Solve the equation -10(g - 6) = 65.
Answer:
g = -1/2
Step-by-step explanation:
-10(g - 6) = 65
Distribute
-10g +60 = 65
Subtract 60 from each side
-10g+60-60 = 65-60
-10g = 5
Divide by -10
-10g/-10 = 5/-10
g = -1/2
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{-10(g - 6) = 65}\\\\\rightarrow\large\textsf{-10g + 60 = 65}\\\\\large\text{SUBTRACT 60 to BOTH SIDES}\\\\\large\textsf{-10g + 60 - 60 = 65 - 60}\\\\\large\text{CANCEL out: 60 - 60 because that gives you 0}\\\\\large\text{KEEP: 65 - 60 because that helps you solve for your g-value}\\\\\large\textsf{65 - 60 = \bf 5}\\\\\large\text{DIVIDE -10 to BOTH SIDES}\\\\\mathsf{\dfrac{-10g}{-10}=\dfrac{5}{-10}}\\\\\large\text{CANCEL out:: }\mathsf{\dfrac{-10}{-10}}\large\text{ because that gives you 1}[/tex]
[tex]\large\text{KEEP: }\mathsf{\dfrac{5}{-10}}\large\text{ because that gives you the g-value answer}\\\\\large\textsf{g = }\mathsf{\dfrac{5}{-10}}\\\\\large\textsf{g =}\mathsf{\dfrac{5\div5}{-10\div5}}\\\\\large\textsf{g = }\mathsf{\bf - \dfrac{1}{2}}\\\\\\\\\boxed{\boxed{\large\textsf{Therefore, your answer is: g = }\mathsf{- \bf \dfrac{1}{2}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\\\\\frak{Amphitrite1040:)}[/tex]
What is the value of the independent variable at point A on the graph?
Answer:
6
Step-by-step explanation:
The independent value refers to the x values of a graph. Point A is located at (6, 3). Therefore, the value of the independent variable is 6.
The value of the independent variable at point A on the graph is 6.
What is Independent Variable?The cause is the independent variable. Its value is unaffected by the other study variables.
In an experimental study, an independent variable is one that you change or alter to examine its effects. It is named "independent" because it is unaffected by any other study variables.
Given:
We have two quantities from the graph one is mass in grams and another is time.
as, the masses totally depends on growth of bay with time.
So, the dependent variable is Mass and independent variable is Time.
Now, the coordinates for Point A is (6, 3).
Hence, the value of point A is 6.
Learn more about Independent variable here:
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Rewrite using a negative exponent.
1/3^2
Answer:
1/9 or 3^-2
Step-by-step explanation:
Ignore the value of 1/3 for now and just focus on the 3^2.
Find 3^2:
3*3 = 9
Now 9 is the denominator, therefore our answer would be 1/9 once you reassemble the fraction.
Because 1/9 is our new fraction, we can use a negative exponent to create the same result. This is because the negative exponent rule tells us that a number with a negative exponent should be put to the denominator. Therefore we can then use 3^-2.
Answer:
3^-2
Step-by-step explanation:
Each floor of a parking garage can hold 90 cars. When all of the floors are full, there are 450 cars in the garage altogether. What fraction of the cars is parked on the ground floor?
90 cars out of 450
90 / 450 = 1/5
I guess the number of floors is 5
Find the simple interest on \$5,000 at 4% interest for 3years.
In triangle JKL, JKL is a right angle, KM and is an altitude. JL=25 and JM=5, find KM
Answer:
50
Step-by-step explanation:
Mr. Jack conducted a survey among the students in his class to see what the most popular color was. The results of his survey are displayed in this table. Which statistic(s) can be used to represent the most popular color? A. the mean B. the median C. the mode D. the median and the mode
Answer:
i guess that was
CITS ATTICUS
Answer:
the answer is c
Step-by-step explanation:
hope it helps pls give brainliest
Look at the picture below for the info
Answer:
x = -3/14
Step-by-step explanation:
1/2(2x-1) = -1/7 -4/7
Combine like terms
1/2(2x-1) = -5/7
Multiply each side by 2
2*1/2(2x-1) = -5/7*2
2x-1 = -10/7
Add 1 to each side
2x-1+1 = -10/7 +1
2x = -10/7 +7/7
2x = -3/7
Divide by 2
2x/2 = -3/7 *1/2
x = -3/14
Ms. Lopez drew parallelogram M with a height of 6 inches and a base of 6 inches, and parallelogram N with a height of 4 inches and a base of 8 inches. Which parallelogram has the greater area, M or N? help plz
Answer:
It is the parellogram M
Step-by-step explanation:
In order to find the area of a parellogram we need do base x height so we compare 6x6 and 8x4 thus making 36>32
Answer:
t is the parellogram M
In order to find the area of a parellogram we need do base x height so we compare 6 x 6 and 8 x 4 thus making 36 > 32
Step-by-step explanation:
I don't understand this math question! The pictures provided and I'd love if someone can explain it to me
Answer:
Hello,
Step-by-step explanation:
The first number is
[tex]\dfrac{8}{12}[/tex]
The second number is
[tex]\dfrac{9}{12}[/tex]
Their sum is:
[tex]\dfrac{8}{12} +\dfrac{9}{12} =\dfrac{8+9}{12}=\dfrac{17}{12}[/tex]
Answer:
67
Step-by-step explanation:
POINTS IF HELP!!! Please help me?
Simplify -4|-5| - [2(-17)]
1. 54
2. 14
3. -14
Add an explanation on how you got the answer
54 is the answer of -4(-5)-(2(-17))
Answer:
1 . 54
Step-by-step explanation:
1. 4 < 7 Multiply both sides by 3, then by 2, then by 4, then by 9
2. 11 > -2 Add 3 to both sides, then add 3, then add (-4)
3. -2 < -2 Subtract 6 from both sides, then 8, and then 2
4. -4 < 8 Divide both sides by -4, then by -2
5. Write a short explanation of the effects of the above operations. Did this affect the inequality sign? Was it still true? Why or why not?
Answer:
1. 864 < 1512
2. 12 > 0
3. question 3 is wrong -2 = -2
4. -0.5 < 1
5. In the above operations, they did not effect the inequality sign because the same operation is being done to both sides, therefore the inequality sentences all remained true.
Step-by-step explanation:
1. (3)(4) < (7)(3)
(2)12 < 21(2)
(4)24 < 42(4)
(9)96 < 168(9)
= 864 < 1512
2. 3+11 > -2+3
3+ 13 > 1 + 3
-4+16 > 4-4
= 12 > 0
3. -2 = -2 (question 3 is wrong)
4. -4/-4 < 8/-4
1/-2 > -2/-2
= -0.5 < 1
What is the Leading Coefficient of 3x^6-2x^9+5x-12 when written in Standard Form?
ASAP!!!!
Answer:
-2
Step-by-step explanation:
3x^6-2x^9+5x-12
Write from highest power of x to lowest power
-2x^9+3x^6+5x-12
The leading coefficient is the number in front of the highest power of x
-2
i have 30 coins. some of them are dimes, and some of them are quarters. in total, i have $4.05. how many of each coin do i have?
Answer: 23 dimes & 7 quarters
Step-by-step explanation:
Dimes = 10¢ = $0.10Quarters = 25¢ = $0.25Number of dimes = xNumber of quarters = yYou can create two equations:
[tex]\left \{ {{x + y = 30} \atop {0.10x + 0.25y =4.05}} \right.[/tex]
Rearrange x + y = 30:
[tex]y=30-x[/tex]
Substitute it into the x-value of the other equation & solve:
[tex]0.10x + 0.25y =0.10x + 0.25(30-x)=4.05\\0.10x+7.5-0.25x=4.05\\0.10x-0.25x=4.05-7.5\\-0.15x=-3.45\\x=\frac{-3.45}{-0.15} =23[/tex]
With the x-value, substitute it back to the original equation to find y-value:
[tex]y=30-x=30-23=7[/tex]
Therefore, there are 23 dimes & 7 quarters.
There are 23 dimes and 7 quarters.
Given that, the total number of coins=30.
How to convert dimes to dollars?To convert dimes to dollars we need to multiply the number of dimes by 0.1.
Let the number of dimes be x, and then the number of quarters will be 30-x.
Now, x×0.1+(30-x)×0.25=4.05
⇒-0.15x=-3.45
⇒x=23
30-x=7
Hence, there are 23 dimes and 7 quarters.
To learn more about equations visit:
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Help me pleaseeeeeee
Answer:
B
it's a recurring number therefore it's irrational
Fill in the blanks.
(image attached)
Answer:
Add 14 to each side to undo the -14. Divide both sides by 6 to undo the 6x, and simplify to get 5.
Step-by-step explanation:
at McDonald's, you get a $1 coupon for every 3 fries you buy. What is the least number of fries you could buy in $10 in coupons?
Answer:
You must buy at least 30 fries to get 10 dollar ins coupons
Step-by-step explanation:
We can write a ratio to find the minimum
1 dollar 10 dollars
--------------- = -------------
3 fries x fries
Using cross products
1 *x = 10 * 3
x = 30
You must buy at least 30 fries to get 10 dollar ins coupons
a - 6 - 6a = 4
find the value of a
Answer:
-2
Step-by-step explanation:
a - 6 - 6a = 4
a-6a=10
-5a=10
a=10/-5
a=-2
Answer:
a = -2
Step-by-step explanation:
Add like terms:
a - 6 - 6a = 4
-5a - 6 = 4
Solve for a:
-5a = 10
a = -2
So, a = -2
solve the following equation. answer in terms of a mixed number. 7(2x+6)=1
Answer:
[tex]7(2x + 6) = 1 \\ 14x + 42 = 1 \\ 14x = - 41 \\ x = - 2 \frac{13}{14} [/tex]
PLEASE HEEELPPP 15 POINTS PLESSEE
What is the missing number in the input output table
Input: 3, 5, ? 17
Output: 16, 22, 31, 58
Answer:
input is 3 5 9 17 so hope you get the answer thanks