Four inches every four and a half pounds
The average rate of change of the length of the spring as the load varies from 5 pounds to 9 pounds is 0.5 inches per pound.
What is average?It is a measure of how much the function changes per unit, on average, over the given interval.
We have,
5 pounds loaded on a spring:
The length of the spring is 6 inches.
9 pounds loaded on a spring:
The length of the spring is 8 inches.
The average rate of change in the length of the spring as the load varies:
= (8 - 6) / (9 - 5)
= 2 / 4
= 1 / 2
= 0.5 inches per pound
Thus the average rate of change of the length of the spring as the load varies from 5 pounds to 9 pounds is 0.5 inches per pound.
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Whats the answers 1-7?
Answer:
I don't know
Step-by-step explanation:
i don't know the answer sorry I just need point to post a question lol
There is 10 inches of water in a bucket. The water is leaking out of the bucket at a rate of 1 inch per hour. How many hours will it take for the bucket
to fully empty?
Type your answer...
Solve the inequality.
p + 14 ≥ 2
Answer:
p [tex]\geq[/tex] -12
Step-by-step explanation:
Subtract 14
p [tex]\geq[/tex] -12
The solution to the inequality from the information given is p ≥ -12
What is inequality?Inequality shows the relationship between two expressions and this relationship is identified by using the inequality signs (<, >, ≤, ≥).
The solution to the inequality p + 14 ≥ 2 can be determined by having the variables on one side and the numbers on the other side. To do that:
Let us subtract 14 from both sides of the equation we have:
p + 14 - 14 ≥ 2 - 14
p ≥ -12
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-10x-3y=-18
-7x-8y=11 solve system using elimination
Answer:
(-7) (-10x - 3y = -18)
(10) (-7x - 8x = 11)
--------------------------
70x + 21y = 126
+ -70 - 80x = 110
---------------------------
-59x = 236
x = -4
Answer
[tex] \huge{ \boxed{ \text{(3 \:, - 4)}}}[/tex]
✑ [tex] \underline{ \underline{ \text{First ,\: let's \: know \: about \: elimination \: method}}}[/tex] :
☇ In this method , we add or subtract the given equations to eliminate one of the two variables by making their coefficients equal. Then , a single equation with one variable so obtained is solved to find the value of the variable. The value of the variable is substituted to any one equation to find the value of the eliminated variable.
☯ [tex] \underline{ \underline{ \text{Let's \: solve}}} : [/tex]
[tex] \underline{ \text{Original \: system}} : [/tex]
[tex] \text{ - 10x - 3y = - 18 - - - - Equation\: (i)}[/tex]
[tex] \text{ - 7x - 8y = 11 - - - - Equation \: (ii)}[/tex]
[tex] \text{Step \: 1} : [/tex] Take L.C.M ( Lowest Common Multiple ) of 10 and 7. For this , find the prime factors of each number. Then, take out the common prime factors and other remaining prime factors and multiply them.
prime factors of 10 = 1 × 2 × 5prime factors of 7 = 1 × 7L.C.M = Common factors × Remaining Factors
= 1 × 2 × 5 × 7
= 70
[tex] \text{Step \: 2} : [/tex] Multiply equation ( i ) by 7
[tex] \text{7( - 10x - 3y ) = - 18 * 7}[/tex]
⇢ [tex] \text{ - 70x - 21y = - 126 - - - - equation \: (iii)}[/tex]
[tex] \text{Step \: 3} : [/tex]Multiply equation ( ii ) by 10
[tex] \text{10( - 7x - 8y) = 11 \: * \: 10}[/tex]
⇢ [tex] \text{ - 70x - 80y = 110 - - - - equation \: (iv)}[/tex]
[tex] \text{Step \: 4} : [/tex] Subtract equation ( iv ) from equation ( iii ) :
Also Remember that while subtracting , sign of each term of the second equation changes. Here , we are eliminating x . So to make the coefficient of y same , equation ( i ) is multiplied by 7 and equation ( ii ) is multiplied by 10.⇩
[tex] \text{ - 70x - 21y = - 126}[/tex]
[tex]\text{+70x + 80y = - 110}[/tex]
___________________
[tex] \text{ \: \: \: \: \: \: 59y = - 236}[/tex]
Solve :
⇢ [tex] \text{59y/59 = - 236/59}[/tex]
⇢ [tex] \boxed{ \bold{ \text{y = - 4}}}[/tex]
[tex] \text{Step \: 5} : [/tex]
Substitute the value of y into equation ( iii ) , we get :
[tex] \text{ - 70x - 21y = - 126}[/tex]
➳ [tex] \text{ - 70x - 21( - 4) = - 126} [/tex]
➳ [tex] \text{ - 70x - ( - 84) = - 126} [/tex]
➳ [tex] \text{ - 70x + 84 = - 126}[/tex]
➳ [tex] \text{ - 70x = - 126 - 84}[/tex]
➳ [tex] \text{ - 70x = - 210}[/tex]
➳ [tex] \text{ - 70x/ - 70 = - 210/ - 70}[/tex]
➳ [tex] \boxed{ \bold{ \text{x = 3}}}[/tex]
[tex] \bold{ \underline{ \text{Hence ,\: x = 3 \: and \: y = - 4}}}[/tex]
Hope I helped!
♡ Have a wonderful day / night ツ
~ [tex] \sf{TheAnimeGirl} [/tex] ♪
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Answer:
What dose this mean
Step-by-step explanation:
Thx for the free points
what the answer?please tell me
12 points
Step-by-step explanation:
[7 + (-2)] * (-3)
= 7(-3) + (-2)(-3)
= -21 + 6
= -15. (C)
Answer:
C. -15
Step-by-step explanation:
Hope this helped have an amazing day!
i am not sure
look at the screenshot for question
Answer:
X equals 3 y equals 1
Step-by-step explanation:
15x 5 y
is 3π/9 irrational or rational
Answer:
irrational
Step-by-step explanation:
Since π is an irrational number, it would make 3π/9 an irrational number too since multiplying or dividing by pi makes the answer an irrational number.
find the angle measure of minor arc MP.
Step-by-step explanation:
Angle at center = 2 * Angle at circumference.
Angle MNP = 2 * Angle MQP = 30°.
Hence the angle measure of minor arc MP is 30°.
Answer:
30 degrees
Step-by-step explanation:
arc measure in degrees is twice the measure of the inscribed angle
I need help with mathematics and I have to ask a couple questions about it
Answer:
Sure. What are the questions?
I WILL MARK BRAINLIEST ! Please help!! Solve for x in the parallelogram below.
Answer:
x = 3
Step-by-step explanation:
Angle D is congruent to angle B.
Angles E and B are supplementary.
180 - 101 = angle B
B = 79
Solve for x.
79 = 27x - 2
81 = 27x
x = 3
22.00+27.51+21.33+22.95=
please show me how you got that answer
asap plz help 50 points
Answer:
93.79
Step-by-step explanation:
22.00 + 21.33 = 43.33
22.95 + 27.51 = 50.46
43.33 + 50.46 = 93.79
99+99x=0 how to solve this
Step-by-step explanation:
99+ 99x = 0
99 = - 99x
x = - 99/99
x = -1
Hope it helps :)
Answer:
X = -1
Step-by-step explanation:
99 + 99x = 0
99x = -99
x = -99/99
x = -1
Solve 1/3k+80=1/2k+120
Answer:
k=-240
Step-by-step explanation:
Answer:
k = -1200
Step-by-step explanation:
Darnelle has a $10,000, three-year loan with an APR of 5%. She uses the table on page 159 to compute information on the loan,
a. What is her monthly payment?
b. What is the total of all her monthly payments?
c. What is the total finance charge?
HELP
Her monthly payment would be $180.56, the total of all her monthly payments would be $13,000 and the total finance charge is $3000.
What is the expression of simple interest?The expression for the final amount for simple interest is
A = p(1+rt)
Given data
Principal = $10,000
Rate= 5 %= 0.05
Time = 6years (Assume)
A = p(1+rt)
A = 10,000(1+0.05×6)
A = 10,000(1+0.30)
A = 10,000(1.30)
A = 13,000
So the final amount for simple interest is $13,000
To determine her monthly payment
Given that it is spread over 6 years
There are 12×6 months= 72months
So monthly pay = 10000/72 = $180.56
The total of all her monthly payments would be $13,000 which is equal to the final amount.
The finance charge is equal to the interest.
⇒ $13,000 - $10,000 = $3000
So the finance charge would be $3000.
Therefore, her monthly payment would be $180.56, the total of all her monthly payments would be $13,000 and the total finance charge is $3000.
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Match each multiplication expression with the number of decimal places in its product
Answer:
Step-by-step explanation:
Digits after the decimal in a number decide the number of decimal places.
If there are 1 digit after the decimal, decimal place will be one decimal place.
Similarly, 2 digits after the decimal, decimal place will be two decimal place.
1). 4.2(0.938) = 3.9396 (Four decimal places)
2). 0.9(29.3) = 26.37 (Two decimal places)
3). 18(5.75) = 103.50 (Two decimal places)
4). 0.48(12.19) = 5.8512 (Four decimal places)
5). 3.21(2.4) = 7.704 (Three decimal places)
6). 50.7(14.06) = 72.842 (Three decimal places)
Answer:
The person above me is right.
Step-by-step explanation:
I did it on edge and got it right.
What is the solution to the system of polynomials graphed below?
Answer:
Step-by-step explanation:
A(-1,6)
the solution is the intersection of the 2 graph because in that point both equations are true
monke good? yes yes yes
Answer:good
Step-by-step explanation:
monke
Answer:
monkey good
good monkey
Step-by-step explanation:
2 - 20
16) Solve the problem.
Use the Associative Property of Addition to find the equivalent expression. Replace the
variable with the given number to prove the expression is equivalent.
* + (4 + 6) = ---
I = 5
Answer:
The answer is 15=15
Step-by-step explanation:
go to math
way, which is a website
and put your question in and the answer waill come to you!
Does any one knows the scale factor?
Please I need help!!! The Hiking Club plans to go camping in a State park where the probability of rain on
any given day is 0.18. What is the probability that it will rain on at least four of the
five days they are there? Round your answer to the nearest thousandth.
Answer:
give me a call when you get a chance can you send me the link to the video is too much for me to do you have a car you have a car you have a car you have a car you have a car you have a car you have a car you have a car you have a car ☺️☺️ good morning ☺️☺️☺️ to be there ☺️☺️☺️ you are teaching until I have a few more questions about the link ☺️☺️☺️ get many you had f I am a little bit of time
Answer:
The sum:0.0049 =0.004. so the answer is 0.004
Find the value of x. 15 30 120 60
Answer: There isnt a question here
Step-by-step explanation:
the measure of the angle is..
Answer:
149
Step-by-step explanation:
149 and the angle beside b are supplementary (Let's call it A)
180-149=A=31
180-31=149
149=B
The quotient of 5 plus a number w and negative 5 is 36
155 i think this is correct if not its 205
de acuerdo con la siguiente figura calcula el ancho del río y la distancia del árbol a la lancha.
Zoe creates a spreadsheet to make simple interest calculations. The user input values for the principal, rate, and time in years in row 2. Write each formula. Remember to include the = symbol
Answer:
a. For A2 to compute the interest.
b. For B2 to compute the principal.
c. For C2 to compute the interest rate.
d. For D2 to compute time in years, given the interest, rate, and the principal.
e. For E2 to compute the time in months, given the time in years.
a) A2 = B2 x C2 x D2
b) B2 = A2/ (C2 x D2)
c) C2 = A2/ (B2 x D2)
d) B2 = A2/ (C2 x D2)
e) E2 = 12 x D2
I know they only asked for principle, I just added for imformation lol
A veterinarian prescribes Benadryl for a dog with allergies. The recommended dosage is 3 mg per kg per day to be given in two doses. If your golden retriever weighs 67 lbs., how much Benadryl should he get in each dose? Round to nearest milligram.
Answer:
Each dose should be of 5.05 milligrams.
Step-by-step explanation:
To solve the present problem, it is necessary to first establish the equivalence between pounds and kilograms. Thus, 1 pound is equal to 0.453 kilograms. Therefore, the dog weighs about 30.35 kilograms (67 x 0.453), with which, since 3 milligrams must be applied for each kilogram of the animal's weight, 10.1 milligrams of Benadryl (30.35 / 3) should be applied.
Now, since Benadryl is applied in two doses, each of these doses should be 5.05 milligrams (10.1 / 2).
How many Rubles are 40 cents? I will give Brainliest to the correct answer
Answer:
30.34
Step-by-step explanation:
Answer:
40 cents = 30.34 rubles
Step-by-step explanation:
1 us $ is 75.86 RUB ₽
0.40 * 75.86 = 30.34
The point (–5, 6) is located in which quadrant?
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
Answer:
Quadrant 2
Step-by-step explanation:
Step-by-step explanation:
4th quadrant cause x is positive and y is negative
help please! 16 points
Answer:
3
Step-by-step explanation:
divide the top number by the bottom to always find the constant of proportionality :D
Answer:
3
Step-by-step explanation:
y is being multiplied by 3 to get the x values. Hope this helped you!! Give brainliest.