Answer:
Let's assume that Susan's graph is linear. Then, we can do linear interpolation. Let y be the amount charged for 10 hours of work done:
(7-10)/(7-11) = (168-y)/(168-264)
y = $240
For Jim's Lawn care, let's find the constant slope using points (1,20) and (2,40):
m = (20 - 40)/(1-2) = 20
Then, since the y-intercept is zero, the linear equation is:
y = 20x
Substituting x = 10 hours,
y = 20(10) = $200
The difference between the two would then be:
Difference = $240 - $200 = $40
An insurance company receives nine claims per week, on average. Use this information to answer the next two questions. What is the probability that exactly 7 claims will be received in one week
Answer:
P(X = 7) = 0.11712
Step-by-step explanation:
From the information given:
Average no. of claims received per week λ = 9
The required probability that exactly 7 claims will be received is determined by applying the Poisson distribution formula:
[tex]P(X=x) = \dfrac{\lambda ^x e^{-\lambda}}{x!}[/tex]
[tex]P(X=7) = \dfrac{9 ^7 e^{-9}}{7!}[/tex]
[tex]P(X=7) = \dfrac{4782969 \times1.23409804 \times 10^{-4}}{5040}[/tex]
[tex]P(X=7) = \dfrac{590.2652672}{5040}[/tex]
P(X = 7) = 0.11712
Find the HCF and LCM of 28 and 40
Step-by-step explanation:
The HCF of 28 and 40 is 4, and the LCM is 280.
Step-by-step explanation:
this is the answer..........
Connor used 2/3 inch of wire to make a small hook. How many hooks can he make
with 16 inches of wire?
Answer:
24
Step-by-step explanation:
you divide 16 by the decimal form of 2/3 (0.66666666666666666666666...) and you get your answer, 24.
I hope this helped :))
Answer:
24
Step-by-step explanation:
you divide 16 by the decimal form of 2/3
you get 24.
a local elementary school is marking rectangular areas for different stations during their spirit week. each area has a width of 5 yards and a diagonal distance of 13 yards. what is the length, in yards, of each area?
Answer:
12 yards
Step-by-step explanation:
side b = √(diagonal^2 - side a^2)
Which expression is represented by the set of algebra tiles below?
O x+6
O x-6
O 6-X
O 6x- 1
Answer:
The answer is B
Step-by-step explanation:
Lol I just had this same question on edge 2021 (◕‿◕✿)
Answer:
It Is B, x-6.
Step-by-step explanation:
I Just Did The Unit Test Review (ﾉ◕ヮ◕)ﾉ*.✧
A certain CD has a mass of 10 grams. How many of these CDs would you need to equal a total mass of 2 kg?
write the number of CDs needed in the box.
Answer:
200 CDs
Step-by-step explanation:
1000 g = 1 kg
2 kg = 2000 g
2000 / 10 = 200 CDs :D
Helpppppppppppppp asappppp
Answer:
[tex]B.\ 3[/tex]
Step-by-step explanation:
Given
[tex]x^3 + \frac{1}{3}x^3 +6x + 5[/tex]
Required
Power of term with coefficient of 1
First, we need to identify the variable in the given polynomial
The variable is x
Each term has the following format:
[tex]mx^n[/tex] where [tex]n \ge 0[/tex] and m is the coefficient
In this case, we are to look for n where m = 1
Looking at each term of the polynomial, we have the following match:
[tex]mx^n = x^3[/tex]
Substitute 1 for m
[tex]1 * x^n = x^3[/tex]
[tex]x^n = x^3[/tex]
By comparison:
[tex]n = 3[/tex]
Hence, the solution to this question is (B)
how do find M and N
Answer:
option D
Step-by-step explanation:
In the right angled triangle , one vertex angle is 60° . The other vertex angle will be = 180 - (90+60) = 30°
Hypotenuse = m ; Perpendicular = n ; Base = 4
Side opposite to 60° = Base
Side adjacent to 60° = Perpendicular
Side opposite to 30° = Perpendicular
Side adjacent to 30° = Base
So,
[tex] \sin(60) = \frac{opposite}{hypotenuse} = \frac{4}{m} [/tex]
[tex] = > \frac{ \sqrt{3} }{2} = \frac{4}{m} [/tex]
[tex] = > m = \frac{4 \times 2}{ \sqrt{3} } = \frac{8}{ \sqrt{3} } [/tex]
Rationalising the value of m gives [tex] \frac{8 \sqrt{3} }{3} [/tex]
Also,
[tex] \tan(30) = \frac{opposite}{adjacent} = \frac{n}{4} [/tex]
[tex] = > \frac{1}{ \sqrt{3} } = \frac{n}{4} [/tex]
[tex] = > n = \frac{4}{ \sqrt{3} } [/tex]
Rationalising the value of n gives [tex] \frac{4 \sqrt{3} }{3} [/tex]
A bank advertises that they will pay 1.5% simple annual interest on new savings accounts. Lorenzo puts $400 in a new account. If he does not deposit or withdraw any money, how much will he have altogether after one year?
Answer:
$406
Step-by-step explanation:
The formula for simple interest is I=prtI=prt where II is the amount of interest earned, pp is the initial deposit, rr is the annual interest rate, and tt is the number of years.
It is given that he deposits p=$400p=$400, the bank pays r=1.5%= 0.015r=1.5%=0.015 in annual interest, and t=1t=1 year. The amount of interest he will earn is then I=prt=400(0.015)(1)=$6I=prt=400(0.015)(1)=$6.
His total balance after one year will then be p+i=$400+$6=$406p+i=$400+$6=
$406
.
Round each addend to the nearest whole number and estimate the sum.
19.43 + 11.5 + 3.08
35
36
33
34
Step-by-step explanation:
a fraction of it and the regular answer it is 33.
Answer:
34
Step-by-step explanation:
19.43 will round to 19
11.5 will round to 12 and
3.08 will round to 3
I hope this helps
Determine which of the following sets of side lengths represents the side lengths of a night triangle. Select all that
apply
11, 12
2. 13. 15
1,1,2
7. 24. 25
3.4.5
2.3.3
Answer:
7,24,25
3,4,5
Step-by-step explanation:
1. Let assume the three sides of a right triangle are A,B and C, and C is the longest side
2. For the definition of a right triangle, [tex]C^{2}[/tex]=[tex]A^{2}[/tex]+[tex]B^{2}[/tex]
3. For all the sets listed, only these two sets meet the definition.
Answer:
3.4.5, 2.3.3, and7. 24. 25
Step-by-step explanation:
PLEASE HELP I WILL GIVE BRAINLIEST AND THANKS IF CORRECT!!!!
Which table does not represent a proportional relationship?
A 2-column table with 3 rows. Column 1 is labeled x with entries 9, 6, 3. Column 2 is labeled y with entries 3, 2, 1.
A 2-column table with 3 rows. Column 1 is labeled x with entries 16, 18, 20. Column 2 is labeled y with entries 4, 4.5, 5.
A 2-column table with 3 rows. Column 1 is labeled x with entries 12, 18, 22. Column 2 is labeled y with entries 2, 3, 4.
A 2-column table with 3 rows. Column 1 is labeled x with entries 5, 7, 9. Column 2 is labeled y with entries 10, 14, 18.
Random answers shall be reported
Answer:
A 2-column table with 3 rows. Column 1 is labeled x with entries 12, 18, 22. Column 2 is labeled y with entries 2, 3, 4.
Step-by-step explanation:
cv
The length of a rectangle is 6 metres more than its breadth. the perimeter of the rectangle is 60 metres . find the length and breadth of the rectangle.
Given :
Length of rectangle is 6m more than breadthPerimeter of rectangle = 60 mTo find :
The Length and the BreadthSolution :
As it is given that the length of rectangle is 6 m more than the breadth.
Thus, let us consider the Breadth as ''x''.
Then the Length will be ''x+6''.
We know that,
Perimeter of rectangle = 2(l + b)
According to Question,
➠Perimeter of rectangle = 2(x+6+x)
➠60 = 2(x+6+x)
➠60 = 2(x+x+6)
➠60 = 2(2x + 6)
➠60 = 4x + 12
➠60 - 12 = 4x
➠48 = 4x
➠48/4 = x
➠12 = x
______________________
∴ We got the Value of Breadth as 12 m, because we have let the breadth as x.
And the Length of the rectangle will be,
↠x + 6
↠12 + 6
↠18 m
Hence,
Length = 18 mBreadth = 12 m▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
The table shows the scores for four students on a math test. Who earned the highest grade?
Student. Score
Jim 17/20
Sarah. 84%
Ben. 0.86
Mary. 22:25
A.Jim
B. Sarah
C. Ben
D. Mary. Help please
Had three thfk DJ back finding
6-√8 divide √2-1
this is rationalising surd question I did it and my answer is not right so could someone do this to me and show your working out
thanks
Answer:
4[tex]\sqrt{2}[/tex] +2
Step-by-step explanation:
[tex]\frac{6-\sqrt{8}}{\sqrt{2}-1}[/tex]
=[tex]\frac{6-\sqrt{8}}{\sqrt{2}-1}[/tex] ×[tex]\frac{\sqrt{2}+1}{\sqrt{2}+1}[/tex]
=[tex]\frac{(6-\sqrt{8})(\sqrt{2}+1)}{2-1}[/tex]
=6[tex]\sqrt{2}[/tex] + 6 -[tex]\sqrt{8}\sqrt{2}[/tex] - [tex]\sqrt{8}[/tex]
=6[tex]\sqrt{2}[/tex] + 6 - 4 - [tex]\sqrt{8}[/tex]
=6[tex]\sqrt{2}[/tex] + 2 - [tex]\sqrt{8}[/tex]
=6[tex]\sqrt{2}[/tex] + 2 - 2
=4[tex]\sqrt{2}[/tex] +2
for [tex]\sqrt{8}[/tex] = 2[tex]\sqrt{2}[/tex] ,
[tex]\sqrt{8}[/tex] = [tex]\sqrt{2*2*2}[/tex]
= ([tex]\sqrt{2}[/tex])^2 × [tex]\sqrt{2}[/tex]
=2 ×[tex]\sqrt{2}[/tex]
simplify 4(x + 2y)-(3x-8y)
Answer: x + 16y
Step-by-step explanation:
multiply 4 to x+ 2y
4x + 8y - 3x + 8y (open the bracket)
x + 16y
Answer:
x+16y
Step-by-step explanation:
4(x+2y)-(3x-8y)
we open the brackets and the sign of the second bracket changes
4x+8y-3x+8y
we group x's and y's
x+16y
in how many ways 5 passengers can sit in a compartment having 16 vacant seats
9514 1404 393
Answer:
524,160
Step-by-step explanation:
Assuming order matters, it is the number of permutations of 16 things taken 5 at a time:
16P5 = 16!/(16-5)! = 16·15·14·13·12 = 524,160
_____
The first passenger can pick any of 16 seats; the second can pick any of 15 remaining seats; and so on until all 5 passengers have chosen a seat. The number of possible different arrangements is the number shown above.
H=156-8t-16t^2 in seconds
Answer:If you use quadratic formula the answer is (rounded) 2.88s
Step-by-step explanation:
Answer:
2.882491 seconds
Step-by-step explanation:
H=156-8t-16t²
-16t²-8t+156=0
16t²+8t-156=0
4t²+2t-39=0
t=2.882491 seconds ................
Evaluate each expression. 9 5 + 3 4
What is the value of n in this equation?
(2.4 × 10³) × (3 × 10^n) = 7.2 × 10⁹
Answer:
n = 6
Step-by-step explanation:
[tex](2.4 \times {10}^{3} ) \times (3 \times {10}^{n} ) = 7.2 \times {10}^{9} \\ \\ (2.4 \times 3 \times {10}^{3 + n} ) = 7.2 \times {10}^{9} \\ \\ 7.2 \times {10}^{3 + n} = 7.2 \times {10}^{9} \\ \\ {10}^{3 + n} = {10}^{9} \\ \\ 3 + n = 9 \\ \\ n = 9 - 3 \\ \\ n = 6[/tex]
The ground temperature at an airport is 11 °C. The temperature decreases by 6.4 °C for every increase of 1 kilometer above the ground. What is the temperature outside a plane flying at an altitude of 5 kilometers?
Answer:
-21°C
Step-by-step explanation:
Since the plane is flying at an altitude of 5 kilometers, then we have to multiply 6.4 by each kilometer that the plane's altitude increased (5). After that, we will end up with 32°C that we have to subtract from the ground temperature of 11°C. Once we do that, we get -21°C which means that the temperature at an altitude of 5 kilometers is -21°C.
(sorry if this is confusing but I hope this helped)
the equation d= 2/5 t describes the distance d, in yards, an object travels in t minutes. How long does it take the object to travel 1 4/5 yards?
Answer:
t = 4.5
Step-by-step explanation:
1.8 = 0.4(t) solve for t
y=-|x+3| domain and range
Answer:
the domain is that x is a set of real numbers.
the range is y ≤ -3
Step-by-step explanation:
y = -|x + 3|
y is either positive or equal to zero.
Now, x is all real numbers because any value of x used will yield a valid value of y.
Thus, we can say that the domain is that x is a set of real numbers.
Now, for the range:
The minus sign in front of the absolute value indicates that the function has a maximum value.
Thus, the range is y ≤ -3
What's the ratio equivalent to 15 to 60.
Answer:
1:4
Step-by-step explanation:you can simplify the ratio by finding the LCM on both sides and dividing the number by the lcm in which this case is 15.
15/15=1
60/15=4
so 1:4
The answer to the question is 1:4
Step-by-Step explanation:
We have to divide each number over here by the LCF of 15.
The LCF (Least Common Factor) of 15 is 5.
Given the LCF of 15 is 15, we will divide both given numbers by 15.
[tex]\text {60 / 15 = 4 and 15 / 15 = 1}[/tex]
We will put the numbers back in order from least to greatest.
The ratio we find is 1:4, and the answer to your question is 1:4.
Carry on Learning!
Aisha has 8 coins worth 50¢. If the coins are all dimes and nickels, how many dimes and nickels does she have?
Answer:
4 dimes
2 nickels
Step-by-step explanation:
Answer:
4 dimes 2 nickels
Step-by-step explanation:
Bill bought a shirt for $35.80 plus he paid an additional 7% in sales tax. What was the final cost?
Answer:
$38.66
Step-by-step explanation:
I need help on this question
Answer: Capitalism
Step-by-step explanation:
hope it helps
Please help pleaseeeee
Answer:
200 pages
Step-by-step explanation:
( number of pages) ×(2/5) = 80
Number of pages = 80 ÷(2/5)
Number of pages = 200
what are you finding when you are asked what is 60% of 175? the part, the whole or the precent
Answer:
105 is the part.
Step-by-step explanation:
175 is the whole
60% is the percent
x is the part
175 * 0.60 = 105