Answer:15 ft
Step-by-step explanation:
Given
The total perimeter needed is [tex]40\ ft[/tex]
The available width of the room is [tex]w=5\ ft[/tex]
Suppose l is the length of the room
So, the perimeter of a rectangle-shaped room is [tex]2(l+w)[/tex]
Putting values
[tex]\Rightarrow 40=2(l+5)\\\Rightarrow l+5=20\\\Rightarrow l=15\ ft[/tex]
Question 2 of 10
If data set A has a larger standard deviation than data set B, data set A is
more spread out than data set B.
A. True
B. False
SUB
It is true that if data set A has a larger standard deviation than data set B, data set A is more spread out than data set B.
How to determine the true statement?The standard deviation is a measure of spread.
And the more the standard deviation, the more the spread
This means that if the dataset A has a larger standard deviation than the dataset B, then the dataset A is more spread out than B
Hence, the given statement is true
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Saraid is dividing 14 pound of cashews into 5 plastic bags. What fraction of a pound of cashews will be in each plastic bag?
Answer:
Each bag gets 2 4/5 pounds of cashews
Step-by-step explanation:
14 ÷ 5 = 2.8
2.8 ( 2 4/5)
If 2x – 7y = 10 is a true equation, what would be the value of 2 + 2x – 7y?
Answer:
I believe that would be 12 because
Step-by-step explanation:
if 2x - 7y = 10
then if you were to add two to that it would be 12
Does anyone know? Thank you!
Answer:
4/3
if you put all of the fractions in decimal form 4/3 is the most because it equals 1.25
please helps
Which function represents this sequence?
A.
f(n) = 4 ∙ 2n-1
B.
f(n) = 4n-1
C.
f(n) = 2 ∙ 4n-1
D.
f(n) = 2n-1
Answer: A. f(n) = 4 ∙ 2n-1
Step-by-step explanation:
because the 1st term is 4 according to your image, and then you will have to multiply that by its common difference and using your table, to get from 4 to 8 then 8 to 16 you would multiply by 2, and you would finally multiply that by n or known as the number of terms and 1 making the equation. f(n) = 4 ∙ 2n-1 I hope this is very helpful for everyone.
Two sides of a right triangle measure 222 units and 444 units. What is the area of the square that shares a side with the third side of the triangle?
Answer:
the area of the square = x² = 147,852 ft²
Step-by-step explanation:
Given;
two sides of a right triangle, = 222 units and 444 units
let the third side of the right triangle that shares a side with a square = x
the third side is obtained by applying Pythagoras theorem, and assuming the third side to be either adjacent or opposite side.
x² = 444² - 222²
x² = 147,852
x = √147,852
x = 384.52 ft
Therefore, the area of the square = x² = 147,852 ft²
Answer:
20 = x^2
Step-by-step explanation:
to find c^2 you need to do:
a^2 + b^2 = c^2
so- 2x2 + 4x4 = 4+16= 20
20 = x^2 and since x is squared you do not find the square root
solve 3(2x + 1) in standard form
Answer:
3(2x+1)= 6x+3
Step-by-step explanation:
Since all you do is multiply 3 and 2x and 3 and 1 which is 6x+3
Alright fam, help me out here with these angles thanks!
Answer:
m∠3 = 127°
Step-by-step explanation:
From the given picture,
Two parallel lines have been given.
Angle 3 and another angle measuring 53° are located on a point of a straight line.
Therefore, both the angles will be supplementary.
m(∠3) + 53° = 180° [Property of supplementary angles]
m(∠3) = 180° - 53°
= 127°
It cost $730 to put on a school play . How many tickets must be sold at $6 a piece in order to make a profit
Answer:
122
Step-by-step explanation:
if you do 730 divided by 6 the answer is 121.6666667 so you round it up to 122
trigonometry please help! work need to be shown
Answer:
x = 5.56
Step-by-step explanation:
Apply trigonometric function to find x
Reference angle = 46°
Hypotenuse = 8
Adjacent length = x
Apply CAH:
Cos 46 = Adj/Hyp
Cos 46 = x/8
8 × Cos 46 = x
5.55726696 = x
x = 5.56 (nearest hundredth)
Which equation has infinitely many solutions?
5(2x + 4) = 10x – 12
5(2x + 4) = 10(x + 2)
5(2x + 4) = 12x
5(2x + 10) = 20(x + 1)
Answer:
5(2x + 4) = 10(x + 2)
Step-by-step explanation:
answer is 0 so it has infinite solutions
Julio had 20 minutes to do a three-problem quiz. He spent 11 1 4 minutes on question A and 5 4 5 minutes on question B. How much time did he have left for question C?
Answer:
2 19/20 minutes
Step-by-step explanation:
Julio had 20 minutes to do a three-problem quiz. He spent 11 1 /4 minutes on question A and 5 4 /5 minutes on question B. How much time did he have left for question C?
The total number of minutes =
Number of minutes spent doing question (A + B + C)
Hence,
Hence, the number of minutes he had left for Question C is calculated as:
20 minutes - ( 11 1/4 + 5 4/5) minutes
20 minutes - ( 11 + 5 ( 1/4 + 4/5))
Lowest common denominator = 20
20 minutes - ( 16 + ( 5 + 16/20)
20 minutes - ( 16 + 21/20) minutes
20 minutes - (16 + 1 1/20) minutes
20 minutes - 17 1/20 minutes
= 2 19/20 minutes
Therefore he had 2 19/20 minutes left for Question C
HELP QUICK PLEASE I BEG Grace invested $14985 in an account paying an interest rate of 9% compounded
monthly. Assuming no deposits or withdrawals are made, how much money, to the
nearest cent, would be in the account after 3 years? (Do not use commas in your
answer)
PLEASE HELP QUICK
Which value for p makes the expressions 9p−5 and (3+p)5 equivalent?
a.7
b.6
C.5
D.4
Answer:
5
Step-by-step explanation:
9p-5
9(5)-5
45-5
40
(3+p)5
(3+5)5
(8)5
40
A culture of bacteria has an initial population of 330 bacteria
and doubles every 8 hours.
what is the population of bacteria in the culture after 17 hours,
to the nearest whole number?
Answer:
1439.4702≈1439
HELP
Write an equation of the line in slope intercept form using the graph below.
Factorise the exprssions
x^2-ax-bx+ab
[tex](x - a)(x - b)[/tex]
Step-By-Step Explanations:
1) Factor out the common term in the first two terms, then in the last two terms.
[tex]x(x - a) - b(x - a)[/tex]
2) Factor out the common term x - a.
[tex](x - a)(x - b)[/tex]
Therefor, the answer is ( x - a ) ( x - b ).
what is a reasonable estimate of the probability that the next tucker family vacation lasts less than 3 days?
Answer:
i cant estimate it but i think 4
The official all-time high temperature in Osoyoos, B.C., was 43°C in July 1998. The official all-time low temperature was –21°C in February 1996. What is the difference between the two temperatures? Please show all your work.
Answer: 64°C
Step-by-step explanation:
Official all-time high temperature = 43°C
Official all-time low temperature = –21°C
The difference between the two temperatures will be calculated by subtracting the low temperature from the high temperature. This will be:
= 43°C - (-21°C)
= 43°C + 21°C
= 64°C
To lease his car, Greg had to pay a $1000 down payment, plus $250 per month. Write an equation that represents the total amount paid. DO NOT PUT ANY SPACES IN YOUR ANSWER.
Answer:
250x+1000
Step-by-step explanation:
The linear equation that represents the total amount paid is 1000 + 250x.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
A formula known as an equation uses the same sign to denote the equality of two expressions.
As per the given,
Amount of down payment = $1000
Per month payment = $250
For x number of months = $250x
Total paid = 1000 + 250x
Hence "The linear equation that represents the total amount paid is 1000 + 250x".
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csc(x) = 2
solve this
Answer:
mathpapa.com
Step-by-step explanation:
Mr. Ford Invested $12,450 in a bank at 7.25% per annum simple interest for 6 years. calculate the interest he was paid
Answer:
If my calculations are correct, $5415.75 of interest was paid throughout 6 years.
Step-by-step explanation:
7.25% of 12,450 is 902.625.
If the interest being paid was the 7.25% of 12,450 throughout the 6 years then the answer is 902.625 x 6 ( the amount of years ) = $5415.75.
In other cases such as 7.25% of the new number of invested money after the loss of 902.625 then this answer is wrong, but I solved as I understood.
Hope this helps.
factorise p-q-x(q-p)
Answer:
(1 + x)(p - q)
Step-by-step explanation:
Given
p - q - x(q - p) ← distribute parenthesis by - x
= p - q - qx + px ← rearrange terms in p and terms in q
= p + px - q - qx ( factor first/second terms and third/fourth terms )
= p(1 + x) - q(1 + x) ← factor out (1 + x) from each term
= (1 + x)(p - q)
Find the area of the shaded region.
Answer:
B. x^2-10
Step-by-step explanation:
Your are trying to find the shaded region
You can see that the x by x square would be "full" if not for the 2 by 5 chunk that has been taken out of it
Therefore you can find the area by subtracting the 2 by 10 "chunk" out of the total area of the x by x square
Equation:
(x*x)-(2*5)
x^2-10
The answer is B
How would I right subtract 1.9 from the product of 7.4 and 3
Answer:
24.1
Step-by-step explanation:
7.4x3=22.2
22.2+1.9=24.1
A number is selected, at random, from the set 1, 2, 3, 4, 5, 6, 7, 8. Find: p(odd)
25%
50%
100%
Answer:
50%
Step-by-step explanation:
Half of the numbers in the sequence are odd, so there's a 50% to have gotten an odd number randomly. Therefore, P = 50%
Solve for x.
x^2 + 6x + 9 = 12
x= -3+2V3
x = -3+4V3
x= -9 + 4V3
x=-9 + 2V3
Answer:
5. x=2v^3-9 and 2.x=3 + 2v3
10) 3x + x + x + x - 3 - 2 = 7 + x + x
In the equation above, what is the value of x?
Answer:
Step-by-step explanation:
x=3
PLEAS HELP ASAP 30 POINTS!!!
An incomplete proof of cosθsinθ/1+sinθ=tanθ(1-sinθ) is shown.
Which of the following expressions could be used to complete the third step pf the proof?
Answer:
C
Step-by-step explanation:
Take a look at the RHS of the 2nd step, the denominator -- 1-sin²∅ = cos²∅
We come up to the conclusion of C
Find the modes of this data set.
Answer:
1, 2
Step-by-step explanation:
the mode is the ones that appear the most in a data set, so since 1 and 2 appear 4 times each, they are the two modes.
