Answer:Santiago is playing a game on his computer and is designing a ramp that bikers will jump off to land in a foam pit. His designs are shown below. Use the designs to answer each question. RAMP FOAM PIT 24 ft 21.7 ft 8.5 ft 12 ft 99 wa 20 ft 1. What is the total surface area of the ramp? 2. Santiago wants the lateral surfaces of the ramp to be painted red. How many square feet of the ramp will be painted red? 3. The material Santiago will use to build the tamp costs $2.20 per square foot. What will the total cost of building the ramp be? 4. The foam pit is a rectangular prism, but the top of the pit will be open. What is the total surface area of the foam pit? 5. The lateral surfaces of the foam pit will be lined with extra padding. How many square feet will be lined with extra padding? 6. The total cost of materials to build the foam pit is $1,285.20. What is the cost of materials per square foot? 7. Santiago's total budget for the materials to build the ramp and the foam pit is $3,000. With his current design, will be he over budget or under budget, and by how much?
Step-by-step explanation:
Santiago is playing a game on his computer and is designing a ramp that bikers will jump off to land in a foam pit. His designs are shown below. Use the designs to answer each question. RAMP FOAM PIT 24 ft 21.7 ft 8.5 ft 12 ft 99 wa 20 ft 1. What is the total surface area of the ramp? 2. Santiago wants the lateral surfaces of the ramp to be painted red. How many square feet of the ramp will be painted red? 3. The material Santiago will use to build the tamp costs $2.20 per square foot. What will the total cost of building the ramp be? 4. The foam pit is a rectangular prism, but the top of the pit will be open. What is the total surface area of the foam pit? 5. The lateral surfaces of the foam pit will be lined with extra padding. How many square feet will be lined with extra padding? 6. The total cost of materials to build the foam pit is $1,285.20. What is the cost of materials per square foot? 7. Santiago's total budget for the materials to build the ramp and the foam pit is $3,000. With his current design, will be he over budget or under budget, and by how much?
Wendy and Connor each deposit $8,300 into accounts that earn 3. 5% interest for 25 years. Wendy's account earns annual simple interest and Connor's account earns annual compound interest.
How much more interest will they earn?
Write a proof for the statement.
If a quadrilateral is a square, then the quadrilateral is a rectangle.
Divide: 1 / 3 by 6
what is the answer?
Answer:
hi
Step-by-step explanation:
Can you help me this the workings and the answer?
Thanks a bunch!!
Answer:
(multiply both sides by 6)
6×[tex]\frac{4h+4}{6}[/tex]-10×6=-2h×6
(simplify)
4h+4-60=-12h
4h-56=-12h
(move constant to the right side and variable to the left)
4h+12h=56
16h=56
(divide both sides by 16)
h=7/2
Number 7. Please asap.
7a)
[tex]\frac{n(n - 3)}{2} = 665\\n(n - 3) = 665 \cdot 2\\n(n - 3) = 1330\\n^2 - 3n = 1330\\n^2 - 3n - 1330 = 0\\n = \frac{-(-3) \pm \sqrt{(-3)^2 - 4 \cdot 1 \cdot (-1330)}}{2 \cdot 1} = \frac{3 \pm \sqrt{9 + 5320}}{2} = \frac{3 \pm \sqrt{5329}}{2} = \frac{3 \pm 73}{2}\\n_1 = \frac{3 + 73}{2} = \frac{76}{2} = 38\\n_2 = \frac{3 - 73}{2} = \frac{-70}{2} = -35[/tex]
If n is the amount of sides then there's 38 sides in a polygon with 665 diagonals
7b)
We do the same as 7a) but with 406. We get that [tex]n_1 = 30.04[/tex] and [tex]n_2 = -27.04[/tex]. A polygon cant have 30.04 sides
Answer: A. 38 sides
B. When solved, you get -27.04 sides or 30.04 sides. Neither of these are possible because the number of sides cannot be negative or a decimal.
Step-by-step explanation: Part A:
If the polygon has 665 diagonals, set your original n-sided polygon equal to it.
n(n - 3)/2 = 665
Multiply both sides by 2 so it’s not in the denominator.
n(n - 3) = 1330
Distribute n and subtract 1330 from both sides so it is equal to zero.
n² - 3n - 1330 = 0
Factor it:
(n - 38)(n * 35) = 0
Solve for n by setting it equal to zero:
n = 38 & n = -35
The number of sides cannot be negative, therefore, the answer to Part A is 38 sides.
Part B:
Set your original n-sided polygon equal to 406 and solve to prove that a polygon cannot have 406 diagonals.
n(n - 3)/2 = 406
Multiply both sides by 2 so it’s not in the denominator.
n(n - 3) = 812
Distribute n and subtract 812 from both sides so that it is equal to zero.
n² - 3n - 812 = 0
This cannot be factored, so plug it into the Quadratic Formula. Here are the values you need for the Quadratic Formula based on the polynomial above:
a = 1
b = -3
c = -812
When you solve this, you will get:
n = -27.04 and n = 30.04
A polygon cannot have negative sides and it cannot have decimal sides. It has to be a positive integer (positive whole number).
A Super Lemon currently weighs 100 kg and is increasing by 4 kg per day. The price for Super Lemon’s
is currently $8.90 per kg but is decreasing at $0.30 per day. The cost to grow the lemon is $0.80 per
day.
Determine how many days from now the lemon should be sold to maximize profit and what the
maximum profit will be.
The lemon should be sold 3 days from now to maximize profit, which would be $894.80.
Profit calculationGiven that a Super Lemon currently weighs 100 kg and is increasing by 4 kg per day, and the price for Super Lemon’s is currently $8.90 per kg but is decreasing at $0.30 per day, and the cost to grow the lemon is $0.80 per day, to determine how many days from now the lemon should be sold to maximize profit and what the maximum profit will be, you should perform the following calculation:
Initial profit = $890(100 + 4x1) x (8.90 - 0.30x1) - (0.80x1) = 893.6(100 + 4x5) x (8.90 - 0.30x5) - (0.80x5) = 884(100 + 4x2) x (8.90 - 0.30x2) - (0.80x2) = 894.8(100 + 4x3) x (8.90 - 0.30x3) - (0.80x3) = 893.6Therefore, the lemon should be sold 3 days from now to maximize profit, which would be $894.80.
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You randomly draw a marble out of a bag that contains 20 total marbles. 12 of the marbles in the bag are are blue.
What is the possibility of a blue marble
Answer:
3/5
Step-by-step explanation:
blue marbles in the bag is 12. the total marbles in the bag including the blue marbles is 20. so, take 12 over 20 and then simplify/divide it with 2, the first answer you'll get is 6/10, then simplify/divide it again with two and you'll get 3/5
Which of the expressions below can be factored using the difference of
squares method?
A. 17x^2+23y^2
B. 25x^2+64y^2
C.25x^2-64y^2
D.17x^2-23y^2
Answer:
C
Step-by-step explanation:
A difference of squares can be factored in general as
a² - b² = (a - b)(a + b)
We are looking for 2 terms separated by a - and perfect squares on either side. The only one meeting this criteria is
25x² - 64y²
= (5x)² - (8y)²
= (5x - 8y)(5x + 8y) ← in factored form
need help with thiss
Answer:
10n^2 + 2n + 16
Step-by-step explanation:
Rectangles have the same length and same width. So we can deduce that the top side is 5n^2 - 1, and the left side is n + 9.
Now all we need to do is add all 4 sides up:
(5n^2 - 1) + (5n^2 - 1) + (n + 9) + (n + 9)
or
2(5n^2 - 1) + 2(n + 9)
= 10n^2 - 2 + 2n + 18
= 10n^2 + 2n + 16
Consider the function represented by the table.
What is f(0)?
4
5
6
7
Answer:
f(0) = 4
Step-by-step explanation:
just trust me on this one
Answer:
a on edge.
Step-by-step explanation:
f(0) = 4
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Step-by-step explanation:
I wrote the steps step-by-step for you
I hope you understand...
Answer:
Step-by-step explanation:
3x^2 + 8x - 16 - SOMETHING = x^2 - 4
Re-arranging left and right:
SOMETHING = 3x^2 + 8x - 16 - x^2 + 4
= (3x^2 - x^2) + 8x - 16 + 4
= 2x^2 + 8x - 12
The speed limit on a road is 45 mph. you want to clock the speed of a random sample of cars to test the hypothesis that the average speed of cars is greater than the speed limit. what kind of test would you use?
The test that we would use to test the hypothesis that the average speed of cars is greater than the speed limit is: One sample t-test
When do we use one sample t-test?When we want to find out from the sample if the unknown population mean is different from some specific value, then we can use one sample t-test.
The test statistic is:
[tex]t = \dfrac{\overline{x} - \mu_0}{s/\sqrt{n}}[/tex]
where we have:
[tex]\overline{x}[/tex]= mean of the samples = sample standard deviation[tex]\mu_0[/tex] = the specific value we're comparing population mean with.n = sample sizedegree of freedom = n - 1For this case, we want to test the hypothesis that the average speed of cars is greater than the speed limit.
That means we want to know if
unknown population mean (the average speed of cars) > speed limit (45).
symbolically, we want to test if [tex]\mu > 45[/tex] (in miles per hour)
Thus, the test that we would use to test the hypothesis that the average speed of cars is greater than the speed limit is: One sample t-test
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Answer: Right-tailed test
Step-by-step explanation:
I just got it right on edu
List the range for set p={1,2,3,4,5} and set Q={1,4,9,16,25,26}
Answer:
Set p =4
Set q=25
Step-by-step explanation:
Range is highest value minus lowest value
Set P=5-1=4
Set Q=26-1=25
Please help,
with capital held constant, when zane employs one additional worker, the marginal product of labor decreases by 5 units. which economic concept best characterizes zane’s production process
The economic concept that best characterizes zane’s production process is diminishing marginal product.
What is diminishing marginal product?Diminishing marginal product is an economic concept which states that says as more quantities of a variable input in the production process is added to a fixed factor used in production, output might increase initially but after a point total output would increase at a decreasing rate and marginal product would begin to decrease.
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In the figure, c ∥ d. What are the measures of ∠1 and ∠2? Enter your answers in the boxes.
AlternativeText
m∠1 = °, m∠2 =
Angle 1 is 105 degree
Angle 2 is 75 degree
Can anyone help me with my homework, it would be greatly appreciated.
Answer:
The answer is 2.8 because it is the same length as the other side
Step-by-step explanation:
Sandy can rake 20 bags of leaves in 4 hours. Sarah can rake 28 bags in 4 hours. If they work together, how long will it take to rake 54 bags of leaves?
(A) 4 1/2 hours
(B) 4 hours
(C) 3 3/4 hours
(D) 2 hours
Answer:
A
Step-by-step explanation:
hope you get it
1. An object is propelled off of a platform that is 75 feet high at a speed of 45 feet per second (ft./s). The height of the object off the ground is given by the formula h(t) = -16t^2 + 45t + 75, where h(t) is the object's height at time (t) seconds after the object is propelled. The downward negative pull on the object is represented by -16t^2. Solve for t.
Directions:
Read each problem carefully. Solve each quadratic equation for the variable(s) specified. Be sure to show all of your work. Explain in two to three sentences what the meaning of the solution(s) are in relation to the problem situation
Answer:
3.987923694
Step-by-step explanation:
Quadratic formula and plug in the numbers:
T = (-45 +-(sqrt(2025+4800)))/-32
the object will be at a height of 0 feet 0.97 seconds and 4.53 seconds after it is propelled.
How do we calculate?h(t) = -16t² + 45t + 75
-16t² + 45t + 75 = 0
using the quadratic formula:
t = (-b ± √(b² - 4ac)) / (2a)
a = -16, b = 45, and c = 75.
We then Substitute these values into the quadratic equation
t = (-(45) ± √((45)² - 4(-16)(75))) / (2(-16)
t = (-45 ± √(2025 + 4800)) / (-32)
t = (-45 ± √6825) / (-32)
We find the value of t using both the positive and negative square root:
t₁ = (-45 + √6825) / (-32)
t₂ = (-45 - √6825) / (-32)
t₁ =0.97 seconds
t₂= 4.53 seconds
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#SPJ2
47 = 2(x + 3) + 3(x - 3)
what's the answer to this ?
[tex]47 = 2(x + 3) + 3(x - 3)[/tex]
[tex]47 = 2x + 6 + 3x + - 9[/tex]
[tex]47 =(2 x + 3x) + (6 + - 9)[/tex]
[tex]47 = 5x + - 3[/tex]
[tex]47 = 5x - 3[/tex]
[tex]5x - 3 = 47[/tex]
[tex]5x = 47 + 3[/tex]
[tex]5x = 50[/tex]
[tex]x = \frac{50}{10} [/tex]
[tex]x = 10[/tex]
Let us check whether or not we have found out the correct value of x by placing 10 in the place of x .
So :-
[tex]47 = 2(10 + 3) + 3(10 - 3)[/tex]
[tex]47 = (20 + 6) + (30 - 9)[/tex]
[tex]47 = 26 + 21[/tex]
[tex]47 = 47[/tex]
LHS = RHSAs the left hand side of the equation is equal to the right hand side of the equation , we have found out the correct value of x .
Therefore , 47 = 2 ( 10 + 3 ) + 3 ( 10 - 3 ) and x = 10 .
A cone has a radius of 6 inches and a height of 20 inches.
What is the EXACT volume of the cone?
Answer:
753.98224
Step-by-step explanation:
v=pie r^2 h/3=piex6^2x20/3=753.98224
Anna does sit-ups to get ready for her first triathlon. When she starts, she does a sit-up every 222 seconds. But, as she gets tired, each sit-up takes longer and longer to do. Is the number of sit-ups Anna does proportional to the time she spends doing them? Choose 1 answer: Choose 1 answer: (Choice A) A Yes (Choice B) B No
Answer:
Choice B) No.
Step-by-step explanation:
When she starts , she does a sit-up every 222 seconds.
But as she gets tired, each sit-up takes longer and longer to do.
It means, each sit-up takes more time than she did at beginning.
So, it is NOT proportional to the time.
If it is proportional, she should take constant number of sit-ups even she get tired.
Answer:
No
Step-by-step explanation:
Khan
please help thanks. ☺️
May someone tell me why is this wrong?
Answer:
ummm maybe because you used [ instead of ( ?
Step-by-step explanation:
i feel like yours should be correct though since its including -3
PLEASE ANSWER QUICK On a number line, a segment has endpoints of -2.5 and 4.5. What is the midpoint?
Answer: 2
Step-by-step explanation: See all you have to do is have 4.5 + -2.5 and the answer from that is your midpoint
Edit: This is for a number line
Find the mode of the data set. 11, 19, 16, 12, 19, 16, 11, 12, 16, 13
Answer:
mode is 16
Step-by-step explanation:
because there are 3 16s which is the most common number in this data set
Answer:
16
Step-by-step explanation:
Your mode would be 16
Your mode is 16 because the mode is the number that appears most in the data set and 16 appears 3 times in the data set.
Here is some extra answers just incase.
median=14.5
Because median is the middle number and because 13,16 are the middle numbers then you split that in middle and plus you also have to sort it least to gretest.
Mean=14.5 also because mean is the average of all the numbers in the data set.
range is 8
Range is the highest number subtracting lowest number so 19-11=8
Minimum is 11
The minimum is the lowest number and the data set so 11
maximum is 19
Maximum is the highest number in the data set.
Hope it helps have a great day:)
pls help and please give a serious and right answer thx :D
Answer:
AC=16
Step-by-step explanation:
6x+2=5x+3
6x-5x=3-2
X=1
——-
6(1)+2+5(1)+3=16
HELP A GORL OUT PLEASE
Answer:B
Step-by-step explanation:
who’s is combined thickness of these shims: 0.008, 0.125, 0.15, 0.185 and 0.005 cm?
0.338 is the answer
hope this helped
Based on the information, the combined thickness will be 0.3338.
From the information given, we are told to find the combined thickness of these shims: 0.008, 0.125, 0.15, 0.185 and 0.005 cm.
This simply means that we need to add the decimals. This will be:
= 0.008 + 0.125 + 0.15 + 0.185 + 0.005
= 0.3338 cm
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What is the equation of the function that is graphed as line a?
y=-3x-2
y=3 x + 2
y=- 1/3 x - 2
y=1/3- x2
GEOMETRY, help asap please!
Answer:
A
Step-by-step explanation:
It’s the opposite