Answer:
Mr watts needs 7 weeks
Step-by-step explanation:
The average expense per presentation = $20,000
Since Mr. Watts can give about 7 presentations per week, hence the average expense per presentation for a week = $20000 × 7 = $140000
Also the cost of meals, motels, jet travel, and support personnel total $60,000 per week. Hence the total cost per week is:
Total cost = $140000 + $60000 = $200000
The revenue gotten is $40 per person and can take 1000 people per each presentation. Hence:
Revenue per week = $40 per person × 1000 people × 7 days = $280000
Let assume the number of weeks needed to earn $560000 be x. Hence:
280000x - 200000x = 560000
80000x = 560000
x = 7
The length of a rectangle is 4 more than the width. The area is 357 square centimeters.
Find the length and width of the rectangle
Answer:
17*21 = 357
Step-by-step explanation:
Firstly, set up your equation.
x*(x+4)=357
Multiply X by (x+4)
x^2+4x=357
You then subtract 357 from both sides
x^2+4x-357=0
Simplify using the quadratic formula shown, if you need assistance on solving this equation put it into a online calculator, or photomath as it shows the steps taken to solve it.
[tex]\frac{-4+\sqrt{4^2-4\cdot \:1\cdot \left(-357\right)}}{2\cdot \:1}\\[/tex]
The formula κ(x)= f′′(x) 1+f′(x)23/2 expresses the curvature of a twice-differentiable plane curve as a function of x. Use this formula to find the curvature function of the following curve. f(x)=−5x2 The curvature function is κ(x)=nothing.
Answer:
K(x) = [tex]\frac{-10}{[1 + (-10x)^2]^{\frac{3}{2} } }[/tex] ( curvature function)
Step-by-step explanation:
considering the Given function
F(x) = [tex]-5x^2[/tex]
first Determine the value of F'(x)
F'(x) = [tex]\frac{d(-5x^2)}{dy}[/tex]
F'(x) = -10x
next we Determine the value of F"(x)
F"(x) = [tex]\frac{d(-10x)}{dy}[/tex]
F" (x) = -10
To find the curvature function we have to insert the values above into the given formula
K(x) [tex]= \frac{|f"(x)|}{[1 +( f'(x)^2)]^{\frac{3}{2} } }[/tex]
K(x) = [tex]\frac{-10}{[1 + (-10x)^2]^{\frac{3}{2} } }[/tex] ( curvature function)
scientists are studying a population of 20 bugs and tracking the population, y, as it grows over time, t, in weeks. If the population grows by at least 6.1% each week, which system of inequalities represents the scenario?
Answer:
I am pretty sure it is
y >_ 20(0.061)^t
t >_ 0
Step-by-step explanation:
PLSSSS HELLPPPP MEEEEEEE ASAPPPP I WIILL GIVE BRAINLIEST!!!!!!!!! PLS SHOW WORK STEP BY STEP
Answer:
y = -3x + 3
Step-by-step explanation:
Slope = -3
y-intercept = 3
Substitute values into slope intercept form :
y=mx + b
Where :
m= Slope
b = y-intercept
[tex]y = - 3x + 3[/tex]
Help meeee pleaseeeeee
Answer:
B.
Step-by-step explanation:
I think its B because the Y comes before the slope
Human hair has an average diameter of about 0.000017 meters. Write this measurement in scientific notation
Answer:1.7 x 10 ^ -5
Step-by-step explanation:
Answer:1.7 x 10-5
hope this helps
I don’t understand what this means
Answer:
This means that if you have that amount of those and you do whatever the rest of the question is.
Step-by-step explanation:
Answer:
120 different ways
Step-by-step explanation:
So Fundamental Counting Principle helps understand probability. So for this question, they are asking how many different ways there are.
To do that, we have to split into sets.
Set A: 4 Theme Parks
Set B: 6 Passes
Set C: 5 Food Options
Now we have to multiply the sets.
4 x 6 x 5 = 120
Therefore, the answer is 120 different ways.
Plz help Plz help
Ella played a math game and had the five cards shown.
7 0 -4 -10
Her score was the sum of the numbers on these five cards. What was Ella’s score?
3
⊝
23
−5
⊝
Not here
Answer:
-7 (Not here)
Step-by-step explanation:
1. A negative plus a negative equals a negative/ a negative minus a positive equals a negative so: -10 -4 = -14
2. -14 + 7 = -7 so your answer is -7 and it's not an answer choice so you would select "Not here"
Lines l and m are parallel lines cut by the transversal line t. Which angle is congruent to ∠7?
Answer:
<3, <2 or <6
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
i had it in usatestprep
a child walks 3/10 of a mile in 1\5 hour. At this rate, how far will the child walk in 1 hour
Answer:
1½ mile
Step-by-step explanation:
Given
3/10 mile = ⅕ hour
Required
Determine the distance in 1 hour
Since rate is constant, we have:
3/10 mile = ⅕ hour
Multiply both sides by 5
5 * 3/10 mile = ⅕ hour * 5
15/10 mile = 5/5 hour
3/2 mile = 1 hour
1½ mile = 1 hour
Hence,the child will walk 1½ mile in 1 hour
AT&T charges a connection fee of 35 cents and 3 cents per minute. Verizon charges a connection fee of 45 cents and 2 cents per minute. At how many minutes does a call cost the same no mater what company you use?
Answer:
10 Minutes
Step-by-step explanation:
At&t = 3x+35
Verizon = 2x+45
2x+45=3x+35
-2x -2x
45=x+35
-35 -35
x=10
Consider the accompanying set of dependent and independent variables. The variable x3 is qualitative with H=High, M=Medium, and L=Low. Complete parts a and b below.
y 63 53 77 53 38 43 34 20 13
x1 45 42 40 37 27 24 20 14 12
x2 74 62 80 53 42 48 35 16 13
x3 H H L M H M L L M
Required:
a. Using technology, construct a regression model using all three independent variables.
b. Complete the regression equation for the model below, where x3 represents the dummy variable Cond1, and x4 represents the dummy variable Cond2.
y= ____ + (____)x2+ (____)x3 + (____)x4
Answer:
Y = 6.6406 + 0.2068x2 + 0.7995x3 - 3.607x4
Step-by-step explanation:
y 63 53 77 53 38 43 34 20 13
x1 45 42 40 37 27 24 20 14 12
x2 74 62 80 53 42 48 35 16 13
x3 H H L M H M L L M
For regression analysis : all variables must be quantitative ;
X3 variable may be represented as thus;
L = 1 ; M = 2 ; H = 3
Hence ;
X3 = 3 3 1 2 1 2 1 1 2
y= ____ + (____)x2+ (____)x3 + (____)x4
Using the online multiple regression calculator :
Y = 6.6406 + 0.2068x2 + 0.7995x3 - 3.607x4
From the general formular of a linear model:
y = w1x1 + w2x2 +... + wnxn + c = 0
Where c = intercept
w1,.. wn = weight of explanatory variable
Hence, the weights of x2 = 0.2068
Weight of x3 = 0.7995
Weight of x4 = - 3.607
Intercept = 6.6406
The graph shows the cost C in dollars of W pounds of blueberries a proportional relationship. select all the true statements
A 1 pound of blueberries cost $2.75
B 2.75 pounds of blueberries cost $1
C 5pounds of blueberries cost $15
D 12 pounds of blueberries cost $33
E The point (3,9) is on the graph of the proportional relationship
Answer:
A, D
Step-by-step explanation:
Cost ($) = C
lbs (Blueberries) = W
One pound of blueberries costs $2.75 because to find how much 1 lb is you need to divide by 6.
6 is the number of pounds at that point in the graph, so you divide both the pounds and cost by 6 to find how much 1 lb is.
To find how much 5 lbs costs, multiply both the cost and number of pounds ($2.75 to 1 lb) by 5.
2.75 * 5 is 13.75 (This means C is wrong)
Do the same but with 12 for D
2.75 * 12 is 33, so D is correct
You could do the same method as above for E, but the easier way to do this is to see that the relationship of 3:9 is equal to a 1:3 ratio, which is the same as what the pounds to cost ratio is (which is 1:2.75)
Hope this helps! ^_^
A linear graph is represented by a straight line
The true options are:
A. 1 pound of blueberries cost $2.75 D. 12 pounds of blueberries cost $33The points on the graph are:
[tex]\mathbf{(x_1,y_1) = (0,0)}[/tex]
[tex]\mathbf{(x_2,y_2) = (6,16.50)}[/tex]
The slope (m) of the graph is:
[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]
So, we have:
[tex]\mathbf{m = \frac{16.50 - 0}{6-0}}[/tex]
[tex]\mathbf{m = \frac{16.50}{6}}[/tex]
[tex]\mathbf{m = 2.75}[/tex]
The above means that: 1 pound of blueberries costs $2.75
Hence, (a) is true, and (b) is false
Multiply 2.75 by 5, to get the cost of 5 blueberries
[tex]\mathbf{C(5) = 2.75 \times 5=13.75}[/tex]
This means that: (c) is false
Multiply 2.75 by 12, to get the cost of 12 blueberries
[tex]\mathbf{C(12) = 2.75 \times 12=33}[/tex]
This means that: (d) is true
(e) is false, because:
[tex]\mathbf{\frac{9}{3} \ne 2.75}[/tex]
Hence, the true options are: (a) and (d)
Read more about linear graphs at:
https://brainly.com/question/11804653
3.A normal bus carries x passengers.
A large bus will carry twice as many passengers than the normal bus
A small bus will carry 8 passengers less than the normal bus.
Altogether the buses carry 128 passengers.
(a) Form a simplified equation in terms of x
Answer: A) 4x -8 = 128
Step-by-step explanation:
We will represent the amount that the normal bus carries by n= x
We will represent the amount that the large bus carries by l = 2x
We will also represent the amount that the small bus carries by s = x-8
Now add them to equal to 128.
x + 2x + x -8 = 128
4x -8 = 128
plssssssssssssssssssssssss help for test
Your math class is collecting canned food for a local food drive. The goal is to collect at least 130 cans but no more than 250 cans due to space limitations. There are 24 students in your math class and your teacher has promised to bring in 10 cans. Select which inequalities represent the possible numbers n of cans that each student should bring in.
the first thing we must do is define variables.
We have then:
n: number of cans that each student must bring.
We know that:
The teacher will bring 5 cans
There are 20 students in the class
At least 105 cans must be brought, but no more than 205 cans
Therefore the inequation of the problem is given by:
105 < 20n + 5 <205
Answer:
the possible numbers n of cans that each student should bring in is: 105 < 20n + 5 < 205
mental math again 60x40x2
Answer:
the answer is 4800
Answer:
What is mental math?
Mental math is definitely what it sounds like—doing math in your head. But it’s also more nuanced than that. Being good at mental math tricks doesn’t mean that you’re able to solve 8974387 x 396 in your head instantly; while cool, that wouldn’t be very practical for daily life. So what does mental math mean?
It really just means being able to calculate in your head. It doesn’t mean you can solve every type of problem every time, nor is it a skill that you either “have” or “don’t have”; it’s a skill that you can learn, practice, and improve so that you can solve a bigger range of problems. And mental math certainly doesn’t have to be entirely in your head, either. Jotting down the numbers you need to remember to give you a head start (no pun intended), or writing down your solutions at each “step,” does not negate the “mental”-ness of the math.
Is mental math useful?
Ask this question again next time you’re trying to figure out a tip or doing any kind of construction or home improvement project! And, in addition to handy practical uses, knowing how to do mental math can also just keep your brain sharp and curb your reliance on calculators. Because, come on, doesn’t it feel good to reach for a calculator only to realize, “Wait, I don’t need it!” and figure out the answer in your head? (Spoiler: It does!) Not to mention knowing how to mentally solve small, simple math problems can save you some steps and help you out if you do need to solve a more complicated, difficult problem. There are always going to be some math problems that it would be silly to not solve with a calculator, but, yes, mental math is useful. And if you’re wondering if math itself is useful, math lessons you’ll actually use in real life.
Step-by-step explanation:
Barb’s Grandma is always creating math problems for her to solve. In one problem she gave Barb a store receipt that listed 72 identical items, each the same price, for a total cost of $*67.9* Barb’s grandma covered the first and last digits of the total price on the receipt with stars. Determine the value of the digits that Barb’s Grandma covered.
9514 1404 393
Answer:
367.92
Step-by-step explanation:
72 = 9·8
In order for the total cost to be divisible by both 8 and 9, it must meet a couple of requirements:
The sum of the digits must be divisible by 9. The last three digits must be divisible by 8.In order for the sum of digits to be divisible by 9, the first and last digits must total 5 or 14. (The total of existing digits is 22. The sum needs to be 27 or 36.)
In order for the last three digits to be divisible by 8, the last digit must be 2*. So, the first digit must be 5-2=3.
The first digit is 3; the last digit is 2.
The total cost is 367.92. Each item price is 367.92/72 = $5.11.
_____
* 790/8 = 98.75, so (790 + 2)/8 will be 99. 792 is the only number starting with 79 that is divisible by 8.
The bowling lanes charge an hourly fee for bowling and $2 to rent shoes for the day. Gerry rented shoes and bowled for 2 hours and was charged $12
Which equation represents the cost, f(x), of bowling as a function of x, the number of hours of bowling?
O f(x) = 4x + 3
Of(x) = 2x + 2
Of(x) = 5x - 2
Of(x) = 5x + 2
Answer:
d) f(x) = 5x + 2
Step-by-step explanation:
First we need to identify the variables and how they fit into the equation. in this case we know that the equation is f(x) = mx + b where f(x) is the total cost, m is the hourly cost, x is the number of hours bowled, and b is the price of the shoes.
Now, we need to solve for the hourly cost, so to do this we plug in all the known information to get 12 = m(2) + 2
To solve we need to isolate the variable by first subtracting 2 on both sides to get 10 = m(2) and then dividing both sides by 2 to get 5 = m.
Finally, since we now know that the hourly cost is $5 we can plug this information back into the equation to get f(x) = 5x + 2
write an equation that represent the table
Answer:
y equals 5x + 20
Find the distance between each pair of points in the coordinate plane.
(3,-2) and (2,-1)
Answer:
1.41
Step-by-step explanation:
What is the opposite of -9
Answer:
positive 9
Step-by-step explanation:
Answer:
the answer is positive 9
Step-by-step explanation:
just positive 9
please help
Select the correct answer.
In 14 days, the daily high temperature in Cedar Hills dropped by 16.8 degrees Fahrenheit. What is the average daily rate of change in the high temperature in degrees Fahrenheit?
A.
+2.2
B.
+1.2
C.
+1.1
D.
-1.2
E.
-2.2
Answer:-1.2 Degree Fahrenheit.
Step-by-step explanation:
Since,
The average daily changes, total changes/number of days
Here,
The total changes = - 16.8° F ( - sign shows the decreasing )
And, the number of days = 14
Hence,
⇒ The average daily rate of change in the high temperature in degrees Fahrenheit is -1.2° F.
-16.8 / 14 = - 1.2 per day
Deandre pays $15.20 for a pack of 8 towels.
Find the unit price in dollars per towel.
If necessary, round your answer to the nearest cent.
Please help
Answer: Each towel costs $1.90
Step-by-step explanation:
$15.20 divided by 8 = $1.90
Mr. Clopu buys an 18-month CD that pays 434% simple interest for $5,000. Find the value of the CD at the end of its term.
Answer:
FV= $5,325.8
Step-by-step explanation:
Giving the following information:
Mr. Clopu buys an 18-month CD that pays 4.34% simple interest for $5,000.
To calculate the future value, we need to use the following formula:
FV= (P*r*t) + P
P= $5,000
r= 0.0434/12= 0.00362
t= 18
FV= [(5,000*0.00362)*18] + 5,000
FV= $5,325.8
The value of the CD at the end of its term is $39,060
Given:
Time = 18 month
Principal = $5000
Interest rate = 434%
Future value = ?
Future value = Principal × Rate × Time
= 5,000 × 434% × 18
= 5000 × 434/100 × 18
= 5000 × 4.34 × 18
= 39,060
Therefore, the value of the CD at the end of its term is $39,060
Read more:
https://brainly.com/question/12164462
if you can help i’d appreciate it
Answer:
B- 44
Step-by-step explanation:
87.5 divided by 2 is 43.75. Since it's a square wall, the length and height are both the same, and since length times height is area, if you divide the area by two, you can get a length of one of the sides. Out of all the answers, 44 is the closest to 43.75.
hope this helped! -brooke :))
Simplify [tex]\frac{14^{15} }{14^{5} }[/tex]:
A. [tex]1^{3}[/tex]
B. [tex]1^{10}[/tex]
C. [tex]14^{3}[/tex]
D. [tex]14^{10}[/tex]
Answer:
The answer is D 14^10
Answer:
A
Step-by-step explanation:
Need help Fast Inputs & outputs : equation
Answer:
-3
Step-by-step explanation:
-9t-4=23
-9t=27
t=-3
Answer ASAP: What is the smallest positive number that can be added to 55 so that the resulting number and 45 have 9 as their greatest common factor?
Answer:
55 + 45 = 90
90 divided by 45 = 2
90 divided by 9 = 10
Step-by-step explanation:
How do you do this question?
Answers:
[tex]\displaystyle \lim_{n \to \infty} \frac{a_n}{b_n} = 6[/tex]
Based on the limit comparison test, the series is convergent
========================================================
Explanation:
As n gets really large, the terms [tex]3^n[/tex] and [tex]3^n-2[/tex] are effectively the same. Taking the limit to infinity of the ratio leads to 1.
In other words,
[tex]\displaystyle \lim_{n \to \infty} \frac{3^n}{3^n-2} = \lim_{n \to \infty} \frac{3^n}{3^n} = 1[/tex]
That -2 doesn't really play a role when n gets very large.
This result is then multiplied by the 6 in the [tex]a_n[/tex] sequence, getting 6 as the final limit we want.
So,
[tex]L = \displaystyle \lim_{n \to \infty} \left(a_n \div b_n\right)\\\\\\L = \displaystyle \lim_{n \to \infty} \left(\frac{6}{3^n-2} \div \frac{1}{3^n}\right)\\\\\\L = \displaystyle \lim_{n \to \infty} \left(\frac{6}{3^n-2} \times \frac{3^n}{1}\right)\\\\\\L = \displaystyle \lim_{n \to \infty} \left(\frac{6*3^n}{3^n-2}\right)\\\\\\[/tex]
[tex]L = \displaystyle 6*\lim_{n \to \infty} \left(\frac{3^n}{3^n-2}\right)\\\\\\L = \displaystyle 6*\lim_{n \to \infty} \left(\frac{3^n}{3^n}\right)\\\\\\L = \displaystyle 6*\lim_{n \to \infty} (1)\\\\\\L = \displaystyle 6*1\\\\\\L = \displaystyle 6\\\\\\[/tex]
Since the limiting value is positive and not infinity, this means that both series [tex]\sum a_n[/tex] and [tex]\sum b_n[/tex] converge or they both diverge.
----------------------------
If we plug n = 2 into the [tex]b_n[/tex] sequence, we get
[tex]b_n = \frac{1}{3^n}\\\\b_2 = \frac{1}{3^2}\\\\b_2 = \frac{1}{9}[/tex]
The first term is a = 1/9
If we plugged n = 3, we would get [tex]b_3 = \frac{1}{27}[/tex]
This shows that the common ratio is r = 1/3
Because -1 < r < 1 is true, we know that the infinite geometric series converges. Therefore, [tex]\sum b_n[/tex] converges. We don't need to find the converging value.
Going back to the limit comparison test, we stated that both [tex]\sum a_n[/tex] and [tex]\sum b_n[/tex] either diverge together or converge together.
We've shown that the b series converges, so the 'a' series must converge as well.
Please Help Me With This Math ;(