7. Solve. *
Tommy had 3 pounds of peanuts. If he split the peanuts up between himself
and his three friends, how many pounds of peanuts would each person gets
Answer:
0.75 is what they each get.
Step-by-step explanation:
You need to divide 3 by 4.
The copy machine at the library made a copy of Leslie 3 page essay in just 1/10 of a minute what is the speed of the copy machine
Answer:
30 pages/min
Step-by-step explanation:
a certain manufacturer can produce f(x,y)= 20(6x^3+y^2) units of goods by utilizing x units of labor and y units of capital. Which of the following gives the marginal productivity of labor when x=10 and y=20
Answer:
e
Step-by-step explanation:
e
given the equation 3x-2y=-10, identify the slope and the y-intercept
Answer:
3/2 is the slope and (0,5) is the y-intercept
Step-by-step explanation:
We need slope-intercept form for this question, so we simplify the equation into:
-2y=-10-3x which is just
y=5+3/2x =
y=3/2x+5
When we compare this to y=mx+b, we see that 3/2 is the slope and (0,5) is the y-intercept.
Answer: The slope is [tex]\frac{3}{2}[/tex] and the y-intercept is 5.
Step-by-step explanation:
The equation is 3x - 2y = -10
We need to turn 3x - 2y = -10 into slope intercept form.
y = mx + b → slope-intercept form
m = the slopeb = the y-intercept3x - 2y = -10
-3x -3x
-2y = -3x - 10
Divide the whole equation by -2
y = [tex]\frac{3}{2}[/tex]x + 5
The slope of the equation is [tex]\frac{3}{2}[/tex] and the y-intercept is -2.
The set of all numbers less than or equal to -1
Answer:
-10,-100,-8,-7,-2,-4,-5,-20,-6,-3,-7
NEED HELP ASAP! TYSM IF YOU DO
Which of the following equations represents the greatest value of x?
Equation 1
x^2 = 17
Equation 2
x^2 = 26
Equation 3
x^3 = 64
Equation 4
x^3 = 27
Answer:
Equation 2 represents the greatest value of x!
Step-by-step explanation:
Let's solve each equation for x.
Equation 1; x = 4.1 (about)
Equation 2: x = 5 (about)
Equation 3: x = 4 (exact)
Equation 4: x = 3 (exact)
Hope this helps. :)
a fingernail grows about 0.1 millimeter eachday how much does a fingernail grow in 90 days
Answer:
9 mm
Step-by-step explanation:
90*0.1=9
Find the Solution in the Interval [0,2 pi]
tan(theta/7)+ square root3= 0
9514 1404 393
Answer:
no solution
Step-by-step explanation:
The solutions to the equation are ...
tan(θ/7) +√3 = 0
tan(θ/7) = -√3
θ/7 = arctan(-√3) +nπ . . . . . . . for integer n
θ = 7(-π/3 +nπ) = 7π(n -1/3)
For n=0, θ = -7π/3 -- not in the required interval.
For n=1, θ = 14π/3 -- not in the required interval.
There are no solutions in the required interval.
Is y=1/2x+7 a function
Write the ratio as a ratio of whole numbers using fractional notation.
39 days to 15 days
Solution:
[tex] \frac{39 \: \: days}{15 \: \: days} \\ = \frac{39}{15} \\ dividing \: \: \: both \: \: \: numerator \: \: \: and \: denominator \: \: \: by \: \: \: 3 \\ = \frac{13}{5} \\ = 13 : 5[/tex]
Answer:
13:5
Hope it helps.
Do comment if you have any query.
Nate worked for 12 hours last week. He took out $33 to put in his savings account and still had $99 to spend. Write an equation to find how much money Nate made per hour.
Answer:
Do 99 / 12 = 8.25 Then to check if it works, do the opposite operation and multiply 8.25 x 4 = 33 so it works. The unit rate is $8.25 per hour.
99 / 12 = p or 99 / 12 = 8.25
Step-by-step explanation:
BRAINLIEST?
Answer:
33+99=132 132/12=11
Step-by-step explanation:
Find the missing measurements
Answer:
O = 16.7 degrees
A = 73.3 degrees
Step-by-step explanation:
used a triangle calculator
A scientist begins with 50 milligrams of a radioactive substance that decays exponentially. After 40 hours, 25 mg of the substance remains. How many milligrams will remain after 59 hours? Round to the nearest milligram.
Based on the information given, the number of milligrams that will remain after 59 hours will be 13.125 milligrams.
Since after 40 hours, 25 mg of the substance has been removed, therefore, the rate per hour will be:
= 25/40 = 0.625.
The amount that will be removed in 59 hours will be:
= 59 × 0.625 = 36.875
The number of milligrams that will remain will be:
= 50 - 36.875 = 13.125 milligrams
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I know that x + 2 is a factor of P(x) = 2x^{3} + 5x^{2} + 5x + 6, but I just don't know how to do the second half
Answer:
explain it again
Step-by-step explanation:
i don't understand
Read the short scenario and answer the question that follows.
Lisa's credit card balance this month is $969.16. Her APR (annual percentage rate) is 15.24 %. The minimum payment due is $20.00.
If she pays only the minimum each month and does not add any more charges, how long will it take her to pay off the entire balance?
Choose the correct answer below.
A.
about 10 years
B.
about 6 years
C.
about 3 years
D.
about 1 year
Answer:
B
Step-by-step explanation:
Use the amortisation formula:
A = P (r(1+r)^n)/((1+r)^n - 1)
swap in your numbers
p = 969.16
A = 20
n = 0.1524/12
20 = 969.16((0.1524/12) (1+(0.1524/12))^n) / ((1+(0.1524/12))^n - 1)
Then solve for n
n = 72 months
n = 6 years
Write a possible equation for a polynomial with zeros at -4, -5, 0, 1/3.
[tex]\begin{cases} x = -4\implies &x+4=0\\ x=-5\implies &x+5=0\\ x = 0\implies &x=0\\ x=\frac{1}{3}\implies &x -\frac{1}{3}=0\\ &3\left( x -\frac{1}{3} \right)=3(0)\\ &3x-1=0 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ (x+4)(x+5)(x)(3x-1)=\stackrel{\textit{original equation}}{0} \\\\\\ (x^2+9x+20)(x)(3x-1)=y\implies (x^3+9x^2+20x)(3x-1)=y \\\\\\ (3x^4+27x^3+60x^2)+(-x^3-9x^2-20x)=y[/tex]
[tex]3x^4+27x^3+60x^2-x^3-9x^2-20x=y \\\\[-0.35em] ~\dotfill\\\\ ~\hfill 3x^4+26x^3+51x^2-20x=y~\hfill[/tex]
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=38(1.108)^x
what is the % increase
Can anyone help me with this question?
Answer: Here you go
Explanation:
Raduis is 2.5cm
Diameter 5cm
Circumference 15.70796cm or 16 rounded up because 2 times pie time 2.5 because 2.5 is the radius which if you calculate is 15.7 because 2 x 3.1415 x 2.5 = 15.7
geomtry plzzzz help 15 points
Step-by-step explanation:
RV = QV but also = PV = 26
because RVQ and RVP are both isoceles triangles.
TR = QR/2 = 24/2 = 12
because T is the middle point of RQ.
Find the exact valueFind sin theta:/2
See picture. Show steps
Answer:
Step-by-step explanation:
Use the half angle formulas
sin(θ/2) = ±√((1 - cosθ)/2)
sin(θ/2) = ±√((1 - (3/5))/2)
sin(θ/2) = ±√((2/5)/2)
sin(θ/2) = ±√(1/5)
knowing θ is in the 4th quadrant, θ/2 will be in the second quadrant where sines are positive.
sin(θ/2) = +√(1/5) = √0.2
For a certain company, the cost function for producing x items is C(x)=30x+150 and the revenue function for selling x items is R(x)=−0.5(x−90)2+4,050. The maximum capacity of the company is 130 items.
The profit function P(x) is the revenue function R(x) (how much it takes in) minus the cost function C(x) (how much it spends). In economic models, one typically assumes that a company wants to maximize its profit, or at least make a profit!
Answers to some of the questions are given below so that you can check your work.
Assuming that the company sells all that it produces, what is the profit function?
P(x)=
Preview Change entry mode .
Hint: Profit = Revenue - Cost as we examined in Discussion 3.
What is the domain of P(x)?
Hint: Does calculating P(x) make sense when x=−10 or x=1,000?
The company can choose to produce either 60 or 70 items. What is their profit for each case, and which level of production should they choose?
Profit when producing 60 items =
Number
Profit when producing 70 items =
Number
Can you explain, from our model, why the company makes less profit when producing 10 more units?
Profit, revenue and cost are related, and can be calculated from one another.
The profit function is [tex]\mathbf{P(x) =-0.5(x -90)^2 - 30x + 3900}[/tex]The domain of the profit function is x > 0The profit when producing 60 items is 1650The profit when producing 70 items is 1600The cost function is given as:
[tex]\mathbf{C(x) =30x + 150}[/tex]
The revenue function is given as:
[tex]\mathbf{R(x) =-0.5(x -90)^2 + 4050}[/tex]
(a) Calculate the profit function
This is calculated using:
[tex]\mathbf{P(x) = R(x) - C(x)}[/tex]
So, we have:
[tex]\mathbf{P(x) =-0.5(x -90)^2 + 4050 - 30x - 150}[/tex]
Evaluate like terms
[tex]\mathbf{P(x) =-0.5(x -90)^2 - 30x + 3900}[/tex]
(b) The domain of the profit function
When profit is 0 or less, then it becomes no profit.
Hence, the domain of the profit function is x > 0
(c) The profit for 60 and 70 items
Substitute 60 and 70 for x in P(x)
[tex]\mathbf{P(60) =-0.5(60 -90)^2 - 30 \times 60 + 3900}[/tex]
[tex]\mathbf{P(60) =1650}[/tex]
The profit when producing 60 items is 1650
[tex]\mathbf{P(70) =-0.5(70 -90)^2 - 30 \times 70 + 3900}[/tex]
[tex]\mathbf{P(70) = 1500}[/tex]
The profit when producing 70 items is 1600
(d) Why producing 10 more units less profit
When a function reaches the optimal value, the value of the function begins to reduce.
This means that, producing 10 more units takes the profit function beyond its maximum point.
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2.
Which of the following describes the parabola with the equation y = x2 + 2x + 1?
A. The axis of symmetry is x = −1 and the vertex is (−1, 0).
B. The axis of symmetry is x = 0 and the vertex is (0, 1).
C. The axis of symmetry is x = 1 and the vertex is (1, 4).
D. The axis of symmetry is x = 1 and the vertex is (1, 2).
Answer:
The answer is A. The axis of symmetry is x= -1 and the vertex is (-1,0)
Step-by-step explanation:
Answer: x=1
A. The axis of symmetry is x = −1 and the vertex is (−1, 0).
Step-by-step explanation: graph{x^2+2x+1 [-10, 10, -5, 5]}
Explanation:
This is a quadratic equation so it makes a Parabola on a graph.
Information:
x-intercept: (1,0)
y-intercept: (0,1)
vertex: (1,0)
line of symmetry: x=1
...............................................................................................................................................
The answer is option a via completing the square
y= x^2+2x+1
y= (x+1)^2+1
so it will have an aos of -1 and a vertex of (-1,0)
...............................................................................................................................................
it will have an aos of -1 and a vertex of (-1,0)
Step-by-step explanation:
made a 100%
MTH208 Graded Assignment Unit 5 Test, Part 2. Relationships of Right Triangles, Including Trigonometry
(Score for Question 3:
of 5 points)
3. What are the exact measures of the other two sides of the triangle? Use special right triangles ratios and
show your work
А
30
14 cm
B
Answer:
PLEASE HELP do. Not comment just to get points.
Answer: 14 cm
Step-by-step explanation: A right triangle is an isosceles triangle.
What is the value of x?
Answer:
41º
Step-by-step explanation:
As this is an isosceles B and D are congruent.
The sum of the angles in a triangle is 180º
Therefor
2x = 180 - 98
2x = 82
x = 41º
A company produces electric insulators. The strength of the insulators is important since a broken insulator may cause a short circuit. Unfortunately, the strength varies significantly due to the material. Because of the expense, only a limited number of insulators could be tested. The engineers sampled 25 insulators (From a production run of 200), and conducted a destructive test to determine the force that was required to break the insulators. The mean value of this force was 1723 lbf with a sample standard deviation of 90 lbf. You may approximate the population standard deviation with the sample standard deviation for the following questions.
a. Determine if the population is large enough or if a finite population correction (FPC) factor is needed. If so, what is the FPC factor?
b. For 95% confidence, determine the margin of error (+ lbf)
c. For these conditions, estimate the range of the probable population mean. Provide lower and upper values. For 95% confidence, determine the margin of error ( Assume the same mean and sample standard deviation. What is one advantage and one disadvantage of using 50 insulators instead of 25 insulators?
d. lbf) if 50 insulators were tested.
Answer:
A company produces electric insulators. The strength of the insulators is important since a broken insulator may cause a short circuit. Unfortunately, the strength varies significantly due to the material. Because of the expense, only a limited number of insulators could be tested. The engineers sampled 25 insulators (From a production run of 200), and conducted a destructive test to determine the force that was required to break the insulators. The mean value of this force was 1723 lbf with a sample standard deviation of 90 lbf. You may approximate the population standard deviation with the sample standard deviation for the following questions. a. Determine if the population is large enough or if a finite population correction (FPC) factor is needed. If so, what is the FPC factor? b. For 95% confidence, determine the margin of error (+ lbf) c. For these conditions, estimate the range of the probable population mean. Provide lower and upper values. For 95% confidence, determine the margin of error ( Assume the same mean and sample standard deviation. What is one advantage and one disadvantage of using 50 insulators instead of 25 insulators? d. lbf) if 50 insulators were tested.
Step-by-step explanation:
Please help me quickly thank you!
Answer:
i think it is a if its wrong sorry
Step-by-step explanation:
Answer:
its 115
Step-by-step explanation:
if you take the angle and look at the end if the triangle it shows the end of the angle as 50. if 50 is the top and right angle and you see another angle that looks like that spliting it in half it is 115. its 115 tho because the right side of the missing angle is bigger than the left. hopefully this helps
Each day, a restaurant serves x meals that consist of 1/4 of a chicken each. It also makes soup
using 1/2 of a chicken each day. The chef expresses the number of chickens she uses each day
1/4x+1/2. How many chickens does she use in three days?
Answer:
2 1/4
Step-by-step explanation:
Write in simplest radical form.
Step-by-step explanation:
i think this is the answer if its wrong im sorry
: Two manufacturers supply paper cups to a catering service. Manufacturer A supplied 100 packages and 5 were damaged. Manufacturer B supplied 50 packages and 3 were damaged. If a package is damaged, find the probability that it came from Manufacturer A.1 I.e., Find probability P(Manu
If a package is damaged, the probability that it came from Manufacturer A is 62.5%.
Given that two manufacturers supply paper cups to a catering service, and manufacturer A supplied 100 packages and 5 were damaged, while Manufacturer B supplied 50 packages and 3 were damaged, to determine, if a package is damaged, the probability that it came from Manufacturer A, the following calculation must be performed:
5 + 3 = 100 5 = X 5 x 100/8 = X 62.5 = X
Therefore, if a package is damaged, the probability that it came from Manufacturer A is 62.5%.
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A. Determine the value of each function
1. For p(x)=-2x + 5, determine:
a. p(5)
b. p(0)
c. p(-1/2)
Answer:
a= -5
b=5
c=6
substitue each value as x