Answer:
$162.75
Step-by-step explanation:
150 * 1.085 = 162.75
What is the average rate of change of the function f(x)=4x^2+3x on the interval [1,5]
Answer:
7, though I don't know if it's 100% correct. I tried to help.
Step-by-step explanation:
f(x) = 4x^2 + 3x interval [1,5]
f(1) = 4(1)^2 + 3(1)
f(1) = 4 + 3
f(1) = 7
Answer:
[tex]\boxed {\boxed {\sf 27}}[/tex]
Step-by-step explanation:
The average rate of change is the change in the output from one input to another. Essentially, it is the change in y over the change in x.
[tex]\frac {\Delta y}{\Delta x} = \frac { f (x_2)- f(x_1) }{x_2-x_1}[/tex]
Let's assign 1 to x₁ and 5 to x₂.
[tex]\frac {f(5)-f(1)}{5-1}[/tex]
We must find the outputs f(5) and f(1). Substitute the value in for each x in the function.
f(x)= 4x² + 3x
f(5) = 4(5)² + 3(5) f(5)= 4(25) + 15 f(5) = 100 + 15 =115f(1)= 4(1)² + 3(1) f(1)= 4(1) + 3 f(1)= 4+ 3 =7
Now we can find the average rate of change. We know the outputs and we know the inputs.
[tex]\frac {f(5)-f(1)}{5-1}[/tex]
[tex]\frac {115 -7}{5-1}[/tex]
[tex]\frac {108}{4}[/tex]
[tex]27[/tex]
The average of change of the function f(x) = 4x² + 3x on the interval [1,5] is 27.
Can someone help me plzzzzz
hihii who knows the answer to this question??
Part A
x = some unknown number
2x = doubling that number
2x+11 = adding on eleven
Answer: 2x+11 = 25=============================================================
Part B
If we knew what x was, then we can compute 2x+11 using the order of operations PEMDAS. Because x is unknown, we follow PEMDAS in reverse to isolate x.
So we'll undo the addition first by subtracting 11 from both sides. Then we undo the multiplication by dividing both sides by 2.
2x+11 = 25
2x+11-11 = 25-11 ..... subtract 11 from both sides
2x = 14
2x/2 = 14/2 ...... divide both sides by 2
x = 7
The number the person thought of was 7. Double 7 to get 14. Add on eleven to get 14+11 = 25.
Answer: x = 7A pool is being filled at the rate of 66 gallons per hour. ?hours = 22gallons 1.5hours = ?gallons
Answer:
1/3 hours : 22 gallons
1.5 hours : 99 gallons
Step-by-step explanation:
set a proportion fo all of them
x hours : 22 gallons:
66 22
--- = ---
60 x
22/66 = 0.3333333333333 x 60
= 20 and convert to fraction
20/60 simplified is 1/3
1.5 hours : x gallons
66 x
-- = ---
1 1.5
1.5 / 1 = 1.5
1.5 x 66 = 99
x = 99
Noah’s recipe for one batch of sparkling orange juice uses 4 liters of orange juice and 5 liters of soda water. If someone uses 400 liters of orange juice, how much soda water would they need? And how many batches would that make?
Answer:
They would need 500 liters of soda water and this would make 100 batches of the sparkling orange juice.
Step-by-step explanation:
hope this helps. . . <3
good luck! uωu
Answer:
500 soda water, 100 batches, just a guess so sorry if im wrong
Step-by-step explanation:
I need help..............
Explanation:
The commutative property of addition is A+B = B+A. We can add two numbers in any order. For example: 2+3 = 3+2 since both sides result in 5.
The idea applies to fractions as well. In choice D, the fractions 3/5 and 2/3 swap places so that we can group the 1/3 and 2/3. From there, the 1/3 and 2/3 combine to 1 and that's how we end up with the mixed number 1 & 3/5.
4y-10+3.14=180
value of y
Answer:
The value of y is 46.715
Step-by-step explanation:
4y-10+3.14 = 180
4y = 180 + 10 - 3.14
4y = 186.86
4y ÷ 4 = 186.86 ÷ 4
y = 46.715
what is the degree measure of the missing angle? 84 34 114 24
Answer:
24°
Step-by-step explanation:
We are given that m∠EFG is a right angle, and that m∠EFH = 66°
m∠EFH + m∠HFG = m∠EFG
Substitute values and solve.
66 + m∠HFG = 90
m∠HFG = 24°
write a recursive formula for this sequence
2.3, 2.8, 3.3, 3.8, ...
Answer: 2.3
Step-by-step explanation: 3.8-3.3 =3.3-2.8=2.8-2.3=0.5 (common difference)of arithmetic sequence
a recursive formula for the sequence is : An+1=An +0.5
A number pattern was created by subtracting 28 from the previous term. If the starting value for the pattern was 117, which of the following shows the resulting pattern?
A.
117, 89, 61, 5...
B.
117, 89, 61, 33...
C.
117, 89, 63, 5...
D.
117, 89, 63, 33..
Answer:
B. 117, 89, 61, 33...Step-by-step explanation:
Starting point is 117 and common difference is - 28.
The first 4 terms are:
117117 - 28 = 8989 - 28 = 6161 - 28 = 33Correct sequence is B
40. If f(x) = -3x + 7 and g(x) = -7x+3, what is the value of f(-3) - g(3)?
Answer:
34
Step-by-step explanation:
f(-3) = -3(-3) +7
f(-3) = 16
g(3) = -7(3) +3
g(3)= -18
16 -(-18) = 34
Answer:
34
Step-by-step explanation:
f(x) = -3x + 7
f(-3) = -3(-3) + 7
= 9 + 7 (two negatives make a positive)
= 16
g(x) = -7x + 3
g(3) = -7(3) + 3
= -21 + 3
= -18
16 - (-18)
16 + 18 (two negatives make a positive
= 34
Hope this helps!
How do you solve this and find x?
Answer:
fraction form
x= 2 + ln(30)/ln(7)
decimal form
x= 3.74786969
Step-by-step explanation:
What I like to call the logarithmic equation solver.
Bring it down turn it around.
First bring down the 7 to a ㏒7 and the x-2 so that ㏒7(x-2)=30
Then change the constants from on another so then it would look like
㏒7(30)=x-2
solve for x
to solve do the log base finder equation ㏒(30)/ln(7)
and add 2
16. Colton has a $6 credit balance on his credit card. He uses the credit card to
pay $9 for lunch. Use the number line to subtract $9 from Colton's credit
balance, and complete the equation.
ucation
6
8
10
12
14
text: Oppo...
16
Answer:
He uses the credit card to pay $9 for lunch. Use the number line to subtract $9 from Colton's credit balance, and complete the equation. ucation
Step-by-step explanation:
ummmm help me cause i am the queen ya know
Answer:
80 square units
Step-by-step explanation:
I am in a rush so this might not be right but probably is
how can i Find the volume of the following cylinder that the Radius of 1 cm Height of 8 cm
Answer:
Okay first you need to use the formula: V=[tex]\pi r^{2} *h[/tex]
All you need to do is plug in those numbers.
Like this: V= [tex]\pi *1^{2}*8[/tex]
which is = 25.13 [tex]cm^{3}[/tex]
Ta-da!! lol. Have a great day!
What is the square root of r^64
Answer:
the answer is 8
Step-by-step explanation:
because the (8)²is 8×8is 64
Write an equation representing how much Tristan paid.
After Gwen, Tristan, and Keith finish exercising, they go to the fair. At the fair, they each pay the entry fee and also buy tickets they can use for food or rides. Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30. Tristan pays the entry fee and buys 15 tickets. It costs him a total of $40. Keith pays the entry fee and buys 10 tickets. It costs him a total of $30. In this task, you will create a system of equations and find the cost of each ticket. Let x represent the entry fee and y represent the cost of each ticket in dollars.
Answer:
These are the equations
Step-by-step explanation:
Gwen's equation = x + 10y = 30
Tristan's equation= x + 15y = 40
Keith's equation = x + 10y = 30
Write the given equation of a line that passes through the given point (-2,-1) and (0,-5)
Step-by-step explanation:
2x+y+5=0 is the required equation of the line
The length of the base of an isosceles triangle is x. The length of a leg is 4x - 7. The perimeter of the triangle is 31. Find x.
Answer:
x= 5
Step-by-step explanation:
am isosceles triangle has 2 sides equal i.e the legs.
What is the quotient of 4/5 divided by 1/3?
:
Answer:
2.4
Step-by-step explanation:
4/5 / 1/3
4/5 x 3/1
4/5x3/x1 = 12/5
22/5
12/5 = 2.4
Two legs of a right triangle are each 70 cm. If one leg grows at the rate of 3cm/min and the other
shrinks at the rate of 5 cm/min.
A)how fast is the hypotenuse of the triangle changing 2 minutes later?
B)how fast is the area of the triangle changing 2 minutes later?
Answer: Let x = length (in cm) of the decreasing leg at time t seconds
Step-by-step explanation: I hope this was any help ϵ( ‘Θ’ )϶
easy one for you folks.
Answer:
2/5
Step-by-step explanation:
Six out of 15 are full.
[tex]\dfrac{6}{15}=\dfrac{2*3}{5*3}=\dfrac{2}{5}[/tex]
Solve the equation-10 +1 +7x =37
Answer:
Answer in Explanation
Step-by-step explanation:
-10 + 1 + 7x = 37
-9 + 7x = 37
Add 9 on both sides to leave 7x alone
7x = 46
Divide by 7 to leave x alone
x = 46/7 or 6.57
If the equation is positive 10 at the beginning instead of -10 then this is the answer for that:
10 + 1 + 7x = 37
11 + 7x = 37
Subtract 11 from both sides to leave 7x alone
7x = 26
Divide by 7 to leave x alone
x = 26/7 or 3.7
18 is 120 percent of what number
Answer:
18 is 120 percent of 15Step-by-step explanation:
100/120 = 15
15/100, which means that 18/120 as a percentage is 15%.
hope this helps :)
Twenty-five friends share equally the cost of buying a $200 gift. How much money does each person contribute?
Answer:
Each friend contributes 8 dollars
Step-by-step explanation:
200 ÷ 25 = 8 dollars
so each friend contributes 8 dollars
Answer:
Each person contributes $8
Step-by-step explanation:
200/25= 8
Find the 75th term of the arithmetic sequence -21, -10, 1
Answer:
793
Step-by-step explanation:
Arithmetic sequences are basically linear equations, so as input increase by one output always increases by the same amount. In sequences this is called common difference. To find it, just subtract one term by the term right before it.
So, -10--21=11 and also 1--10=11
so common difference is 11
now we will use the formula Asubn=Asub1+d(n-1)
D is Common difference and n is the term you're solving for. The n-1 is a result of the first term being in the formula. When one is plugged into n-1 you get zero and then multiply d by zero and you get zero and are left with Asub1
Anyways, Asub75=-21+11(75-1)=793
Mrs. Burns purchased 12 ears of corn for $5.76. What is the price per ear of corn?
Answer: 0.48
Step-by-step explanation: 5.76 divided by 12 equals 0.48 because that determined how much an ear of corn costs.
Camilla thinks that -5 is less than -7 because 5 is smaller than 7.explain why Camilla is correct
Think of a vertical number line. The positive values count down as we move down this number line. The negative numbers count up, so to speak, as we move down the number line. So we have -1, -2, -3, ... as we move down. This indicates that -5 is not smaller than -7.
Diagram is below.
how do i turn
[tex] \frac{63}{56} [/tex]
to a mixed fraction?
Step-by-step explanation:
63/56 = 9/8 = 1⅛.
hope this helps you.
Answer:
1 1/8.
Step-by-step explanation:
First divide 63 by 56 .
This gives 1 with a remainder of 7.
So we can write the mixed number as 1 7/56.
This simplifies to 1 1/8.
Arrange the following in ascending order b) 3.14, 31.4, 0.314, 3 2/4, 3.141
c) 2.0867, 0.28677, 28.067, 0.2867, 2.867
Step-by-step explanation:
b) 3.14, 31.4, 0.314, 3 2/4, 3.141
3.14, 31.4, 0.314, 3.5, 3.141
0.314, 3.14, 3.141, 3.5, 31.4
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