Answer:
The answer is: 2 * 8n * 8n * 8n * 8n
Step-by-step explanation:
8. John is looking for a job after graduation. The salary which he is satisfied with must be
$3000 with a tolerance of $500. Choose the salary John would accept.
A $3.478
B. $3.792
C. $2,489
D. $2,256
Answer:
A
Step-by-step explanation:
Becuase he wanted more then 3000
What is the cost of 2 bags of sugar if 3 bags cost $5.25 and the unit price for each bag is the same.
Answer:
$3.50
Step-by-step explanation:
5.25/3 = 1.75
1.75 x 2 = 3.5
What is the measure of M?
Answer:
<M = 50
Step-by-step explanation:
The sum of the angles of a triangle is 180
52+ 78+x = 180
Combine like terms
130 +x = 180
Subtract 130 from each side
130+x-130 =180-130
x = 50
Answer:
50°
Step-by-step explanation:
180 is the total of all the angles added together.
so if you subtract the 2 you already know from the total, you’ll have the size of the angle M.
180 - (52+78) = 180 - 130 = 50°
Prove that 11n-4n is divisible by
7 for all positive integers.
There are 25 questions in a quiz, what is the minimum score you can get
Answer:
7/25
Step-by-step explanation:
From randomly guessing, it depends on how many you think you got right and how many you really don't know. You could get all 25 wrong, but more likely at random get 7 right.
Answer:
The minimum score you can get is 0.
Step-by-step explanation:
Please help!!!!!!!!!!
Answer:
406%
Step-by-step explanation:
cuz google says so
Need help on this question ASAP!!!!!!!!!!
Write an equation in standard form.
Answer:
[1,2]; m = 7
Step-by-step explanation:
Consider a limousine that gets m(v)= (120 - 2v) / 5 miles per gallon at speed v , whose chauffeur is paid $15/hour, and gas costs $3.5/gallon.
a. Write the function that finds the cost per mile at speed v
b. What speed results in the most inexpensive driving speed?
Answer:
(17.5 / 120 - 2v) + (15 / v)
Step-by-step explanation:
Given : m(v)= (120 - 2v) / 5 miles per gallon at speed v ,
chauffeur is paid $15/hour
gas cost = $3.5/gallon.
Gasoline cost per mile :
Cost per gallon = $3.5
Cost per gallon * 1/(m(v))
$3.5 * 1 / (120 - 2v) / 5
$3.5 * 5 / 120 - 2 v
= 17.5 / 120 - 2v
Time = distance / speed
Chauffeur cost = 15 per hour / v
Hence ;
Total cost :
Cost of gasoline + Cost of chauffeur
(17.5 / 120 - 2v) + (15 / v)
Answer would be - (17.5 / 120 - 2v) + (15 / v)
First Given : m(v)= (120 - 2v) / 5 miles per gallon at speed v , The chauffeur is paid $15/hour. Then gas cost = $3.5/gallon. Gasoline cost per mile : Cost per gallon = $3.5 Cost per gallon * 1/(m(v)) When, $3.5 * 1 / (120 - 2v) / 5 $3.5 * 5 / 120 - 2 vThen result will be = 17.5 / 120 - 2v
Time = distance / speed Chauffeur cost = 15 per hour / v
Hence ;
The total cost will be : Cost of gasoline + Cost of chauffeur
(17.5 / 120 - 2v) + (15 / v)
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a tree casts a 26 ft shadow. a boy standing nearby casts a 10 foot shadow, forming similar triangles. his height is 4 ft. how tall is the tree
Answer:
he would be 22 ft smaller than the tree
franklin school has 3 boys for every 4 girls in the fifth grade. there are 140 students in the 5th grade. How many boys are there. How many girls are there.
Answer:
There are 60 boys and 80 girls in Franklin School.
Step-by-step explanation:
"franklin school has 3 boys for every 4 girls in the fifth grade." means that the ratio of boys to girls is: 3:4
It can also be written as 3/4
Also given
Total number of students: 140
We will use ratios to find the number of boys and girls in shool.
First of all, we have to calculate the sum of ratio which is: 3+4 = 7
Let b be the number of boys and g be the number of girls
Then
[tex]b = \frac{Ratio\ of\ boys}{Sum\ of\ ratio} * Total\ students\\= \frac{3}{7} * 140\\= 3*20\\=60\\g = \frac{Ratio\ of\ girls}{Sum\ of\ ratio} * Total\ students\\g = \frac{4}{7}*140\\= 4*20\\=80[/tex]
Hence,
There are 60 boys and 80 girls in Franklin School.
The manager of a football team is keeping track of the yards
gained or lost on each play of a football game. On the first
play, the team gained 4 yards. On the second play, the team
lost 33 yards. On the third play, the team gained 11 yards.
What was the position of the ball relative to its starting point
after the first three plays of the game?
Answer: -48 yd
Step-by-step explanation:
Help help help help help
Answer:
Option 2: [tex]f^{(-1)}(x) = -\frac{3}{4x}[/tex] is the correct answer.
Step-by-step explanation:
Given function is:
[tex]f(x) = -\frac{3}{4x}[/tex]
There are few steps to find inverse of a function. We will apply them one by one onto the function
Step 1: Replacing f(x) with y
[tex]y = -\frac{3}{4x}[/tex]
Step 2: Replacing y with x and x with y
[tex]x = -\frac{3}{4y}[/tex]
Step 3: Solving the equation in step 2 for y
[tex]x = -\frac{3}{4y}\\y = -\frac{3}{4x}[/tex]
Step 4: Replacing y with inverse of f
[tex]f^{(-1)}(x) = -\frac{3}{4x}[/tex]
Hence,
Option 2: [tex]f^{(-1)}(x) = -\frac{3}{4x}[/tex] is the correct answer.
Find the mean of the list of data.
49, 65, 41, 38, 87, 55, 95, 106
I can’t find the answer
Answer:
67.
Step-by-step explanation:
First we find the mean:
Mean is add up everything and divide by how much numbers there are.
The numbers are:
[tex]49, 65, 41, 38, 87, 55, 95, 106[/tex].
So we add them up which is 536.
Then we divide by how much numbers there are.
There are 8 numbers so 536/8 which is 67.
Hope this helps :D
Please help with math
Mrs. Robert’s vegetable garden is 6 feet wide and 8 feet long. A drawing of the garden has a scale of 1 inch 2 feet. What is the area of the garden on the scale drawing? a. 192 in b. 12 in c. 7 in d. 28 in
Answer:
Step-by-step explanation:
It’s 24
Answer:
b.12 inch squared
Step-by-step explanation:
6 feet become 3 inches and 8 feet becomes 4 inches 3×4 = 12
A ratio can be expressed as a _______________ description, with a _______________, or as a _______________. I need help filling in the blanks.
Answer:
A ratio can be expressed as a word description, with a colon or as a fraction.
Step-by-step explanation:
A ratio can be expressed as a word description, with a colon or as a fraction.
Quantitatively, a ratio is a number representing a comparison between two named values. It is the relative magnitude of two quantities usually expressed as a quotient.
Thus, a ratio can be expressed as a word description between two quantities, for example:
four to five.
It can be represented with a colon. i.e 4:5
Or as a fraction i.e. [tex]\dfrac{4}{5}[/tex]
Hurry Please!!!
True or False
The graph of y=2x is similar but also different from the graph
of y=2x−7.
True
False
Explain the reasoning of your answer above.
Answer:
True
Step-by-step explanation:
The lines has the same slope but y=2x-7 is lower than y=2x
1. Simplify the expression.
9m - 5n + m - 2n
2.Simplify the expression.
3 - 1 v + 7v - 1
Answer:
1. 10m - 7n
2. 6v - 1
Step-by-step explanation:
9m - 5n + m - 2n
10m - 7n ( combine like terms).
2. - 1 v + 7v - 1
6v - 1 (combine like terms)
Answer:
1. 9m-7m
2. 6v+2
Step-by-step
Im pretty sure that the answer
Colin gets £x wages each week. After he pays his tax of £T then, he pays his rent of £250. he then shares what's left between himself and his wife. how much do they both get?
Answer:
(£x - £T - £250) / 2
Step-by-step explanation:
Colin's total wages = £x
Tax = £T
Rent = £250
Total amount remaining = Total wages - tax - rent
= £x - £T - £250
he then shares what's left between himself and his wife. how much do they both get?
He and his wife = 2 people
Each person gets = Total amount remaining / number of people
= (£x - £T - £250) / 2
Or
= 1/2 (£x - £T - £250)
Addison has a balance of $3,450 on her credit card that has an APR of 18%. She currently pays the minimum monthly payment of $86.25. If Addison wants to pay off her balance in 24 months, determine the monthly payments she would need to make. Choose the following modification with the least cuts to her current expenses that will allow Addison to pay off her balance in 24 months.
Income
WAgES
$2,278.00
EXPENSES
Rent
$950.00
Utilities
$232.45
Food/Clothes
$445.00
Entertainment
$270.00
Car
$200.00
Credit Card
$86.25
Cell Phone
$77.89
Net Income $16.41
a.
Addison can eliminate $73 from Food/Clothes and $100 from Entertainment.
b.
Addison can eliminate $45 from Food/Clothes and $41 from Entertainment.
c.
Addison can eliminate $25 from Food/Clothes and $22 from Entertainment.
d.
The minimum payment is enough to pay off the balance within 24 months.
ANSWER IS B)Addison can eliminate $45 from Food/Clothes and $41 from Entertainment.
Answer: (B) Addison can eliminate $45 from Food/Clothes and $41 from Entertainment.
Based on the information given, Addison should eliminate $45 from the money budget for Food/Clothes ($445.00) and $41 from Entertainment ($270.00).
Given the following data:
Balance = $3,450.APR = 18%.Monthly payment = $86.25.Time = 24 months (2 years).How to calculate monthly payment.Mathematically, the monthly payment for a credit card can be calculated by using this formula:
[tex]M=P(\frac{r}{1-(1+r)^{-nt}} )[/tex]
Where:
P is the principal.r is the interest rate.M is the monthly payment.t is the time.n is the number of times it's compounded.In this scenario, Addison should eliminate $45 from the money budget for Food/Clothes ($445.00) and $41 from Entertainment ($270.00) because they are the least cuts to her current expenses and they would avail her an opportunity to pay off her balance in 24 months (2 years).
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Sample Work Suppose you are constructing a LEGO Technic Land Rover Defender with a total of 2573 pieces. You have already put together 253 pieces. Every minute you add 5 more pieces. Part A Is the relationship linear? How do you know?
Answer:
The relationship is linear.
Step-by-step explanation:
A linear relationship is a trend in the data that can be modeled using a straight line, such that a relationship between two variables x and y is linear if the rate of change is constant. That is, whenever x increases by 1, and it always increases by the same constant.
The constant by which y increases as x increases by 1 is called the slope and is denoted by the letter m. Being b the y-intercept, the linear relationship is modeled by the expression:
y=m*x + b
In this case x represents the minutes and y is the total number of pieces put together, so that each time x (minutes) increases by 1, "y" increases by 5 pieces. So knowing that you have already collected 253 pieces, the expression of the linear relationship is:
y=5*x + 253
The relationship is linear.
Pizza time: A local pizza parlor is offering a half-price deal on any pizza with one topping. There are nine toppings from which to choose. In addition, there are three different choices for the size of the pizza, and two choices for the type of crust. In how many ways can a pizza be ordered?
Answer:
You can order pizza in 56 ways.
Step-by-step explanation:
A pizza can be ordered in 56 ways
Step-by-step explanation:
From the information that the problem gives to us, we have that:
For each topping, there are four different choices for the size of the pizza.
For each size of pizza, there are two possible choices of crust.
There are seven toppings for us to choose.
So
4*2*7 = 56
A pizza can be ordered in 56 ways
Graph the line that contains the point (-2,6) and has a slope of -1/3
Answer : Graph the line that contains the point (-2,6) and has a slope of -1/3
Answer:
[tex]y = - \frac{1}{3} x - \frac{20}{3} [/tex]
Step-by-step explanation:
Use the following equation [tex]y - y_{1} = m(x - x_{1})[/tex]your x1 and y1 are from the point you're given, so the ( -2 , 6 ) will be x1 = -2 and y1 = 6m is the slope, so m = -1/3Then we just substitute into the equationso [tex]y - (6) = - \frac{1}{3} ( x - ( - 2)) \\ y - 6 = - \frac{1}{ 3} (x + 2) \\ y - 6 = - \frac{1}{3} x - \frac{2}{3} \\ y - 6 + (6) = - \frac{1}{3} x - \frac{2}{3} + 6 \\ y = - \frac{1}{3} x - \frac{20}{3} [/tex]So that's our equationFind the sale price of the item. Round to two decimal places if necessary.
Original price: $224.97
Markdown: 73%
The sale price is $
Use a standard inch ruler to answer this question
A class has 48 minutes available to hear reports from 15 students. if the time is to be divided equally, how long may each student have?
Answer:
No, every student will have 3.2 minutes
Answer:
Each student has approximately 3 minutes and 12 seconds.
Step-by-step explanation:
You divide the total amount of minutes by the total amount of students. 48/15=3.2
After you get your answer, you convert to minutes. There are 3 minutes and the .2 converts to 12 seconds
6.4 meters + 14.7 - 23.2 = ?
Answer:
-2.1
Step-by-step explanation:
Answer:
-2.1
Step-by-step explanation:
answer the geometry questions attached :) (you need to also find c)
Answer:
a = 18
b = 6√3
Step-by-step explanation:
WE can see in the diagram that there are two right angled triangles formed.
One with 45° angle as other interior angle and other with 60° interior angle.
So we will take the triangles one by one to find the required values.
As a is used in both triangles, first we will find the value of a using the left triangle.
In the triangle,
Hypotenuse = h = 18√2
θ = 45°
Using trigonometric ratio:
[tex]sin\ 45 =\frac{Perpendicular}{Hypotenuse}\\\frac{1}{\sqrt{2}}= \frac{a}{18\sqrt{2}}\\a = \frac{1}{\sqrt{2}} * 18\sqrt{2}\\a = 18[/tex]
Now in the right side triangle
θ1 = 60°
Perpendicular = a = 18
Base = b = ?
So,
[tex]tan\ 60 = \frac{perpendicular}{base}\\\sqrt{3} = \frac{\sqrt{18}}{b}\\b = \frac{18}{\sqrt{3}}\\b = \frac{6*3}{\sqrt{3}}\\b = \frac{6*\sqrt{3}*\sqrt{3}}{\sqrt{3}}\\b = 6\sqrt{3}[/tex]
Hence,
a = 18
b = 6√3
For the equation given below, evaluate y′ at the point (2,2).
xe^y−4y=3x−14+2e^2.
Answer:
[tex]y'\approx -0.41[/tex]
Step-by-step explanation:
Implicit Derivatives
When it's not possible to express one variable as an explicit function of the other, we use implicit derivatives and solve for y'.
Find y' in the equation given below:
xe^y - 4y = 3x - 14 + 2e^2
Taking derivatives with respect to x, recalling y'=dy/dx, and dx/dx=1:
(xe^y)' - (4y)' = (3x)' - (14 + 2e^2 )'
Using the product rule for the first derivative, and simple rules for the rest:
e^y + xe^yy' - 4y' = 3 - 0
Recall the derivative of a constant is zero.
Group terms with y' in the left side and the rest in the right side:
xe^yy' - 4y' = 3 - e^y
Factoring y':
y'(xe^y - 4) = 3 - e^y
Solving:
[tex]\displaystyle y'=\frac{3 - e^y}{xe^y - 4}[/tex]
Evaluating for x=2, y=2:
[tex]\displaystyle y'=\frac{3 - e^2}{2e^2 - 4}[/tex]
Calculating:
[tex]\mathbf{y'\approx -0.41}[/tex]