He would have 4 pieces of rope
13. The function y = 40(x - 1) + 70 can be used to determine the cost in dollars
for renting a trampoline park for a birthday party for x hours. What is the rate of
change of the cost in dollars to rent the trampoline park with respect to time?
A
$30 per hour
$40 per hour
B
с
$60 per hour
D
$110 per hour
Step-by-step explanation:
the function actually is
y = 40(x - 1) + 70 = 40x - 40 + 70 = 40x + 30
still, the slope (the factor of x) is 40.
that means y (the cost) increases by 40 for every additional hour (x increases by 1).
so, the rate of change (slope) is 40/1 = $40 per hour.
Suppose there is a 1.4 drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 52.8, what will be the temperature when the plane reaches an altitude of 11,000?
Answer:
37.4
Step-by-step explanation:
1.4 times 11 and subtract that from 52.8
. There are 11 boys and 5 girls that tried out to
sing a duet in a chorus concert. If the
director must choose two, what is the
probability that both students chosen are
boys?
We want to find the probability that the two students chosen for the duet are boys. We will find that the probability that both students chosen for the duet are boys is 0.458
If we assume that the selection is totally random, then all the students have the same probability of being chosen.
This means that, for the first place in the duet, the probability of randomly selecting a boy is equal to the quotient between the number of boys and the total number of students, this is:
P = 11/16
For the second member of the duet we compute the probability in the same way, but this time there is one student less and one boy less (because one was already selected).
Q = 10/15
The joint probability (so both of these events happen together) is just the product of the individual probabilities, this will give:
Probability = P*Q = (11/16)*(10/15) = 0.458
So the probability that both students chosen for the duet are boys is 0.458
If you want to learn more, you can read:
https://brainly.com/question/1349408
If G&M Foods issues a $1,000 bond with an interest rate of 3.5 percent and a maturity date of January 1, 2025, G&M is agreeing to pay the bondholder __________ interest each year until January 1, 2025, when it must repay the full $1,000.
G&M is agreeing to pay the bondholder the interest amount of $35 each year until January 1, 2025.
Using this formula
Interest=Bond amount× Interest rate
Where:
Bond amount=$1,000
Interest rate=3.5% or 0.035
Let plug in the formula
Interest=$1,000×0.035
Interest=$35 each year
Inconclusion G&M is agreeing to pay the bondholder the interest amount of $35 each year until January 1, 2025.
Learn more about interest rate here:https://brainly.com/question/25545513
What is the equation for the graph shown?
Answer: y=2/3x+4
Step-by-step explanation:
this will be written out in y=mx+b form. M stands for the slope, and b stands for the y-intercept, or where the line intersects with the y-axis.
going left to right, the line slopes upward, therefore it is a positive slope. This means that the “m” part of the equation will be a positive number. When finding the slope, we use rise over run. On your graph, if you take one point and rise 2, then run right 3, you will find another point! We have now found that the slope is 2/3x.
let’s plug this into our equation. Y=2/3x +b
lastly, we find the y-intercept. This is simply where the line intersects with the y-axis. In this case, it is positive 4. So the y-intercept is 4.
our final equation is: y=2/3x +4
i hope this is helpful.
how do I do this problem?
Answer:
Yes
Step-by-step explanation:
4 is greater then or equal to -6+5
4 is greater then -1 so the equation is true
Help help math math please pelsss
Answer:
116°
Step-by-step explanation:
together both angles equal 180 because they are on a straight line and are opposite of each other.
180 - 64 = 116
I hope this helps!!
classyfying triangles unit 4
Answer:
What do you mean by that?
Step-by-step explanation:
Answer:
Is there more to the question? or a link/ picture you forgot to add?
Step-by-step explanation:
if h(x) =5 for the function h(x) =2x+1, what is the value of x?
12
11
2
Answer:
2
Step-by-step explanation:
5=2x+1
5-1=2x
2x=4
x=2
Answer:
x = 2
Step-by-step explanation:
2x+1 = 5
-1 -1
-------------
2x = 4
x = 2
hope this helps! :D
have a miraculous day, and brainliest is immensely appreciated!! <3
Justin is buying tickets to a concert online from Ticketmaster. He buys 3 tickets that all have the same price.
There is also a service charge, since he is buying it from Ticketmaster, for $5 per ticket. The total cost of his
order was $138.
Answer:
I don't know if your asking for the price for each ticket, but if you are, it's $41 each.
Step-by-step explanation:
5 x 3 = 15(price of the service charge)
138 - 15 = 123(price with out service tax)
123/3 = 41
Hope this was helpful
2. The table shows the elevation of four lakes.
Elevations of Bodies of Water
Lake
Lake Clipson
Lake Roney
Lake Harney
Lake Campbell
Elevation (ft)
117
66
81
97
Which lake has the highest elevation?
A Lake Clipson
® Lake Roney
© Lake Harney
0 Lake Campbell
IT SUPPOSED THE BE LAKE CLIPSON
Kripa’s father is 35 years younger than her grandfather, and 40 years older than her. If the sum of the ages of the three is 160 years, let’s find her grandfather’s age?
Answer:
90 years
Step-by-step explanation:
if Kripa's age = x
Father's age = x + 40
Grandfather's age = (x + 40) + 35 = x + 75 (father is 35 years younger than grandfather i.e. grandfather is 35 years older than father)
x + x + 40 + x + 75 = 160
=> 3x = 160 - 115
=> x = 45/3 = 15
grandfather's age = x + 75 = 90 years
Answer:
90 yearsStep-by-step explanation:
x + x + 40 + x + 75 = 160
=> 3x = 160 - 115
=> x = 45/3 = 15
Grandfather's age = x + 75 = 90 years
2. A bakery makes muffins and cookies. Muffins are sold 18 to a box and cookies are sold 25 to a bag. They do not sell individual muffins or cookies. (a) On Saturday, the bakery made 1020 muffins. How many full boxes did the bakery use for the muffins they plan to sell on Saturday? Show your work. (b) On Monday, the bakery made 2820 cookies. How many full bags did the bakery use for the cookies they plan to sell on Monday? Show your work. (c) Look at your work from Part (a) and (b). What do the remainders represent in each problem?
Can the sum or multiplication of two palindromic numbers be another palindromic number?
Answer: No.
Step-by-step explanation:
If you multiply 1001 by 1001 it's not another palindromic number.
I Was Not That Day On College, I Don't Have The Formulas To Study
Answer:
check online for more information
Greg is a novice cook trying to perfect his baked potato recipe. He decides to put
many. potatoes in the oven and invites all his friends over. Every few minutes he
takes a potato out of the oven and asks some friends to rate its taste on a scale
from 1 to 10, where 10 is excellent.
For each taste, Greg writes down the number of minutes the potato spent in the
oven, x, as well as its rating from 1 to 10, y.
The least squares regression line of this data set is:
y = 0.109x + 1.437
What rating does this line predict for a potato spending 67.11 minutes in the oven?
Round your answer to the nearest integer,
(−3, −1), (−1, 5) Find the slope of the line that passes through the pair of points.
[tex]slope = \frac{ 5 - ( - 1)}{ - 1 - ( - 3)} \\ [/tex]
[tex]slope = \frac{5 + 1}{ - 1 + 3} \\ [/tex]
[tex]slope = \frac{6}{2} \\ [/tex]
[tex]slope = 3[/tex]
Write 3,408,000 in expanded form.
Answer:
3.408 × 10 ^6
Step-by-step explanation:
opposite = 1.5.
adjacent = 4.
find the acute angle
Answer:
Step-by-step explanation:
tanθ = opp/adj
θ = arctan(1.5 / 4)
θ = 20.55604521958346...
θ = 20.6°
Answer
20.56
Step-by-step explanation:
tan∅=opposite/adjacent
=1.5÷4
=0.375
then to get ∅ find the tan inverse of 0.375 you'll get 20.55604...
put it in two decimal point...20.56°
which values of x are solutions to the equation below?
Answer:
-5,5
Step-by-step explanation:
move the constant to the right to make it
3x^2=33+42
3x^2=75
divide both sides by 3
x^2=25
sq root of 25 is 5 and -5
How do you rationalize the denominator of a radical expression that has two terms in the denominator? (For example, the denominator is 1+√5.)
Answer:
A / (1 +√5) = A (1 - √5) / (1 - 5) = -A (1 - √5) / 4
Multiply numerator and denominator by (1 - √5)
10. Saul works two part-time jobs. Last week, he worked 14 hours at a shoe store, and 19
hours as a telemarketer. His total pay was $240.30. The week before, he made
$300.00 for 19 hours at the shoe store and 22 hours telemarketing. Find his hourly
wage for each job
Answer:
shoe store $7.80/hour
telemarketer: $6.90/hour
Step-by-step explanation:
Let s = hourly salary at the shoe store.
Let t = hourly salary as a telemarketer.
14s + 19t = 240.3
19s + 22t = 300
Multiply both sides of the first equation by 19. Multiply both sides of the second equation by -14. Then add them.
266s + 361t = 4565.7
(+) -266s - 308t = -4200
----------------------------------------
53t = 365.7
t = 6.9
Substitute 6.9 for t in the first equation and solve for s.
14s + 19(6.9) = 240.3
14s + 131.1 = 240.3
14s = 109.2
s = 7.8
Answer:
shoe store $7.80/hour
telemarketer: $6.90/hour
Question is in image below
A lamppost is 6 feet high and casts and 8 foot shadow. At the same time of day, a flagpole near the lamppost cast a 20 foot shadow. Using the properties of similar triangles, find the height, H, of the flagpole
Answer:
15 ft.
Step-by-step explanation:
I will assume that either both objects are standing straight. We can use similar triangles.
We can see that the side 8 is similar to the side 20, since they are both shadows. Therefore, we can set up an equation:
[tex]\frac{6}{8} =\frac{x}{20}[/tex]
we can cross multiply and get:
8x=120
solve for x:
x=15
Therefore, the lamppost must be 15 feet tall (unless it fell down but we won't talk about that)
find the slope and y-intercept of line x÷a+y÷b=1
Answer:
slope:
-b/a
y-intercept:
1
What is the circumference of the circle shown below? Use
3.14 for it, round your answer to the nearest tenth.
A) 4.4 yd
B) 8.8 yd
C) 43.9 yd
D 87.9 yd
Answer:
Its B
Step-by-step explanation:
Gemma and Leah are both jewelry makers, Gemma made 106 beaded necklaces. Leah
made 39 more necklaces than Gemma.
Each necklace they make has exactly 104 beads on it. How many beads did both
Jewelers use altogether while making their necklaces? How many necklaces did Gemma and Leah each make
Answer:
Gemma made $34 more than Leah.
Step-by-step explanation:
Gemma made number of beaded necklaces = 106
Leah made 39 more necklaces than Gemma.
Leah made number of beaded necklaces = 106 + 39 = 145
a. There are 104 beads on each necklace.
The total number of beads used altogether
= (106 × 104) + (145 × 104)
= 11,024 + 15,080
= 26,104
b. Gemma sold her 106 necklaces for = $14
Total price of her necklaces = 106 × 14
= $1,484
Leah sold her 145 necklaces for = $10
Total price of her necklaces = 145 × 10
= $1,450
Difference in Gemma and Leah's amount = 1484 - 1450 = $34.00
Therefore, Gemma made $34.00 more money than Leah.
I have a Statistics question
Answer:
okayyyyyyyyyyyyyyyy
Step-by-step explanation:
have a nice day
What is the slope of the line tangent to the graph of y = (9x^2)/(x+2) at x = 1 ?
Using derivatives, it is found that the slope of the line tangent to the graph of y at x = 1 is of 5.
The equation is:
[tex]y(x) = \frac{9x^2}{x + 2}[/tex]
The slope of the line tangent to the graph of y at x = 1 is [tex]y^{\prime}(1)[/tex].
Applying the quotient rule, we have that:
[tex]y^{\prime}(x) = \frac{[9x^2]^{\prime}(x + 2) - [x + 2]^{\prime}(9x^2)}{(x + 2)^2}[/tex]
[tex]y^{\prime}(x) = \frac{18x(x + 2) - 9x^2}{(x + 2)^2}[/tex]
[tex]y^{\prime}(x) = \frac{9x^2 + 36x}{(x + 2)^2}[/tex]
Then, when x = 1:
[tex]y^{\prime}(1) = \frac{9(1)^2 + 36(1)}{(1 + 2)^2} = \frac{45}{9} = 5[/tex]
The slope of the line tangent to the graph of y at x = 1 is of 5.
You can learn more about the use of derivatives to find the slope of a tangent line at https://brainly.com/question/10580177
what is the answer to this question?
posted a picture for better understanding:)
Answer:
-1.5 + 27
25.5
Step-by-step explanation:
-1.5 + 1 + 1.5 + 2 + 2.5 + 3 + 3.5 + 4 + 4.5 + 5
If you live 1.5 miles from school and you walk at a rate of 3mph, when should you leave home in order to arrive at school by 9:00?
Work Shown:
time = distance/speed
time = (1.5 miles)/(3 mph)
time = (1.5/3) hours
time = 0.5 hours
time = 30 minutes
It takes 30 minutes to walk to school, so you should leave a half hour before 9:00. Subtracting 30 minutes from 9:00 gets you to 8:30. If anything, you should start a little bit before 8:30 just in case something might slow you down for one reason or another.