You are jumping off the 12-foot diving board at the municipal pool. You bounce up at 6 feet per second and drop to the water. Your height (h) in feet above the water in terms of (t) seconds is given by h = -16t^2 + 6t + 12. What is the first step in determining the maximum height that you reach during your dive?
Answer:
h_max = 12.56 units
(the exercise does no specify the units)
Step-by-step explanation:
You have the following function:
[tex]h(t)=-16t^2+6t+12[/tex] (1)
To calculate the maximum height reach by you, you first derivative the function h(t) respect to t:
[tex]\frac{dh(t)}{dt}=-32t+6[/tex]
Next, you equal the result of the derivative to zero and you obtain t:
[tex]-32t+6=0\\\\t=\frac{6}{32}=\frac{3}{16}[/tex]
Then, you replace this value of t in the equation (1) and you obtain the maximum height:
[tex]h(t)=-16(\frac{3}{16})^2+6(\frac{3}{16})+12[/tex]
[tex]h(t)=12.56[/tex]
hence, the maximum height is 12.56 units
If the length of a rectangular television screen is 20 inches and its height is 15 inches, what is the length of its
diagonal
Answer:
25 inches
Step-by-step explanation:
Using the Pythagorean theorem;
20^2 + 15^2 = C^2
C= 25
Answer:
its 25
Step-by-step explanation:
there right
This is the last one!!!
Answer:
B
Step-by-step explanation:
the mean goes up more than the median
Mabel is the costume manager for a large theater company. She has 20 different hats,
including 4 pork pie hats.
What is the probability that a randomly chosen hat from Mabel's inventory will be a pork pie
hat?
Write your answer as a fraction or whole number.
P(pork pie hat) =
Submit
Answer:
4/20 or 1/5 being simplified
Step-by-step explanation:
1/4 (8x - 20) - 16 = 10x + 51
Answer:
The answer is -9 (If your looking for x)
Step-by-step explanation: I would suggest using the app Photomap for this kind of stuff. You take a picture of an equation and it gives you a step by step explanation and the answer. Glad I could help!
A police officer recorded the speeds of 100 cars in a 50-mile-per-hour zone. The results are
in the box plot shown. How many cars were going between 40 and 48 miles per hour?
Answer:
25 cars
Step-by-step explanation:
The number of cars were going between 40 and 48 miles per hour is 25. Therefore, option C is the correct answer.
What is a box and whisker plot?A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum. In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median.
From the given box plot, we have
Minimum value = 37
Maximum value = 69
First quartile = 40
Third quartile = 55
Mean = 47
The distance between Q1 and the median is 25%.
The number of cars between 40 and 48 miles per hour is therefore 25% of the total.
= 100 × 25%
= 25 cars
Therefore, option C is the correct answer.
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Which set of angles can form a triangle?
A: 2 acute and 1 right
B: 1 acute and 2 obtuse
C: 1 acute and 2 right
D: 1 acute, 1 right and 1 obtuse
Answer:
A: 2 acute and 1 right
Step-by-step explanation:
A triangle is a polygon that has 3 sides as well as three angles
Triangles can be can be classified based on their three sides as well as their three angles.
Based on their sides, we have 3 types of triangles.
1. Equilateral triangle: This means they have 3 equal sides.
2. Isoceles triangle: They have only 2 equal sides.
3. Scalene triangle: The 3 sides are not equal
Based on their angles, we have 3 triangles.
a. Acute triangle
b. Obtuse triangle
c. Right angle triangle.
One of the way by which we can form a triangle, is by forming it with 2 acute angles and 1 right angle.
Answer:
The correct option is;
A: 2 acute and 1 right
Step-by-step explanation:
Here we have the definitions of the angles as follows;
The sum of angles in a triangle = 180°
An acute angle is an angle less than 90°
An obtuse angle is an angle more 90 ° but less 180°
A right angle triangle is an angle equal to 90°
∴ A right angle triangle is an angle = 90°
Therefore, we compare each of the options
A: 2 acute and 1 right = <90 +<90 +90 < 180 =180 or >180 Possible
B: 1 acute and 2 obtuse = 1<90 + > 90 +>90 > 180°
C: 1 acute and 2 right = <90 + 90 + 90 > 180
D: 1 acute + 1 right + 1 obtuse = <90 + 90 + >90 > 180
Therefore, the only possible correct option is A.
Find the sum: 4√3+11√12
15√15
15√3
26√3
48√3
Answer:
26√3
Step-by-step explanation:
4√3+11√12
We know that sqrt(ab) = sqrt(a) sqrt(b)
4√3+11[tex]\sqrt{4} \sqrt{3}[/tex]
4√3+11*[tex]2 \sqrt{3}[/tex]
4√3+22 [tex]\sqrt{3}[/tex]
Combine like terms
26√3
Answer:
[tex]26\sqrt{3}[/tex]
Step-by-step explanation:
Simplify them:
[tex]11\sqrt{12} = 22\sqrt{3}[/tex]
[tex]22\sqrt{3}+4\sqrt{3}=26\sqrt{3}[/tex]
If I have 21 cone shaped hats with a diameter of 16in and height of 9in. How much paper do I need to cover the hats?
Answer:
10584 inches of paper
Step-by-step explanation:
to find the surface area of a cone the formula you use is A= πr(r+h2+r2) *you need to divide 16 by two to find the radius 16 is the diameter*
and this subsituted is π8(8+9(2)+8(2)) and this equals 504 inches and you then multiply by 21 to get enough paper to cover all 21 cones and that equals 10584 inches
A cylinder has a height of 14 inches and a radius of 5 inches. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
1099 inches
Step-by-step explanation:
We know that formula for volume of a cylinder is:
[tex]V=\pi r^2h[/tex]
[tex]V=\pi 5^2*14[/tex]
[tex]V=\pi 25*14[/tex]
[tex]V=\pi 350[/tex]
[tex]V=3.14*350[/tex]
[tex]V=1099[/tex]
Answer:
1099
Step-by-step explanation:
Use your ruler to draw a rectangle that measures
by 4 1/2 by 2 3/4 inches, and find its area.
Answer:
Area of rectangle, [tex]A=\dfrac{99}{8}\ \text{inch}^2[/tex]
Step-by-step explanation:
We have,
A rectangle that measures [tex]4\dfrac{1}{2}\times 2\dfrac{3}{4}[/tex].
It is required to find the area of the rectangle
The product of length and breadth of a rectangle is called its area. It can be calculated as :
[tex]A=4\dfrac{1}{2}\times 2\dfrac{3}{4}\\\\A=\dfrac{9}{2}\times \dfrac{11}{4}\\\\A=\dfrac{99}{8}\ \text{inch}^2[/tex]
So, the area of the rectangle is [tex]\dfrac{99}{8}\ \text{inch}^2[/tex].
I need help immediately with middle school
Answer:
5*7=35 square units
Step-by-step explanation:
area of parrelogram =B×h
plzz mark me brainliest
You and two friends go to eat pizza there are two deals 10% off of 1 pizza or 30% off of 3 pizzas. Do you want to each pay separately and get 10% off of your bill or do you want to spl it the bill 3 wa
Answer:
Step-by-step explanation:
Assuming the price of 1 pizza is $x. Total number of pizzas is 3.
Considering the first deal,
10% off your pizza is 10/100 × x = 0.1x. The amount that you will pay is x - 0.1x = 0.9x
The cost of the remaining two pizzas is 2 × x = 2x
The total amount to be paid is
2x + 0.9x = $2.9x
Considering the second deal, 30% off the bill would be
30/100 × 3x = 0.9x
The amount to be paid is
3x - 0.9x = $2.1x
Therefore, I prefer the second deal
15 POINTS! will be selecting Brainliest!
How do I do this? Please give step-by-step answers + "work"- will be selecting Brainliest!
Find the area of the composite figure.
a.) 364 sq ft
b.) 796 sq ft
c.) 800 sq ft
d.) 980 sq ft
Answer:
B. 796 sq ft
Step-by-step explanation:
All of these shapes are rectangles.
The formula for the area of a triangle is length x width.
Dining Room
26 x 14 = 364
Bedroom
14 x 8 = 112
Enclosed Porch
20 x 16 = 320
Then you add all of the products.
364 + 112 = 476
476 + 320 = 796
find the value of c that creates a perfect square trinomial
Answer:
C equals 64
Step-by-step explanation:
To find the missing value you have to take B divide it by two and then square it. So 16/2 ----> 8 -----> 8 squared =64. Hope this helped
What is the solution to
2x-y=1
Зу + 3 = 6x
Using system of equations
Answer:
infinitely many solutions
Step-by-step explanation:
Reduce the second equation by dividing all three terms by 3: y + 1 = 2x. Then compare this result to the first equation 2x - y = 1. Noe that these two equations are identical. Thus, the two lines coincide. There are "infinitely many solutions."
Amy has 2 crayons. Cameron gives her 5 more crayons. How many crayons does Amy have now?
Answer:
Amy now has 7 crayons.
Step-by-step explanation:
2 crayons + 5 crayons = 7 crayons.
Answer:
Amy has 7 crayons now
Step-by-step explanation:
2+5=7
a system of equations is shown.
Answer:
x=4 , y=1
Step-by-step explanation:
y = 2x-7
y = -x +5
Set them equal to each other
2x-7 = -x+5
add x to each side
2x+x-7 = -x+x+5
3x-7 = 5
Add 7 to each side
3x-7+7 = 5+7
3x = 12
Divide by 3
3x/3 = 12/3
x=4
Now find y
y = -x+5
y = -4 +5
y = 1
Jasmine and her brother Nat are saving to buy a digital camera that costs $135. Jasmine earns $15 per week for babysitting and spends $5 of it. Nat earns $18 per week for walking dogs and spends $7 of it. Which expression can be used to find how many weeks it will take to save for the digital camera?
Answer:
7 weeks
Step-by-step explanation:
Jasmine=$10
Nat=$11
10+11=$22 each week
135/22=6.14
at least 7 weeks
Let a be a rational number and b be an irrational number. Is a + b rational or irrational?
Answer:
irrational
Step-by-step explanation:
because an irrational number goes on forever so no matter what number is added to it it will always be irrational.
Answer:
Rational
Step-by-step explanation:
Johann borrows money from his parents to purchase a bike. He makes weekly payments to his parents to repay the money
borrowed. The total amount of money repaid at the end of week n can be represented using the recursive formula
a,- 10+ an-1. At the end of the fourth week, Johann had repaid his parents a total of $55. What is the total amount Johann
had repaid his parents at the end of the first week?
Answer:
C
Step-by-step explanation:
Edge 2020
Answer:
C
Step-by-step explanation:
2) On average, 75% of the planes leave on time. If 120 planes left on time
yesterday, how many total planes were there?
Answer:
Step-by-step explanation:160
Mark wanted to find out which types of movies students in his grade at school preferred. He divided the list of student names in his grade into boys and girls and then from each group, drew names from a hat so that the number in each group was proportional to the total number of boys and girls in his grade. Will this sample represent the population, and if so, which type of sampling method did Mark use? A. Yes, simple random sampling. B. Yes, systematic random sampling. C. Yes, stratified random sampling. D. No, this was not a random sample.
NOT"C"
Answer:
the answer is not b
Step-by-step explanation:
The random sampling used is stratified random sampling
What is simple random sampling ( SRS )?The most accurate type of probability sampling is random sampling. Each person in a population has an equal probability of getting selected for the sample thanks to this method of sampling.
This kind of sampling is perfect for highly controlled investigations where it is unacceptable to have human bias in the selection of the sample.
Each sampling unit in a population has an equal probability of being included in the sample when using simple random sampling (SRS). As a result, each potential sample has an equal probability of being chosen.
Given data ,
Mark used a stratified random sampling method by dividing the list of students into boys and girls and drawing from each group in proportion to their numbers in the population. This method helps ensure that the sample is representative of the population in terms of gender.
Hence , the sample is likely to represent the population. Answer: C. Yes, stratified random sampling.
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What is the distance between (-3, 4) and (-3, 10)?
Answer:
6 is the the distance between the points
The required distance between coordinates (-3, 4) and (-3, 10) is 6 units.
Given that,
The distance between the coordinates (-3, 4) and (-3, 10) is to be determined.
Coordinate, is represented as the values on x - axis and y - axis of the graph. where the values of the x-coordinate are called abscissa and the values of y coordinate are called ordinate.
Let the distance between two points be C.
Tio determined the distance between two points [tex](x_1, y_1)[/tex] and ([tex]x_2,y_2[/tex]) is given by the distance formula
C = √(x_1-x_2)^2(y_1-y_2)^2}
Putting the given coordinate in the above formula.
C = (-3+3)^2+(4 -10)^2}
C = {(0)^2+(6)^2}
C = √36
C = 6
The required distance between points is 6 units.
Thus, the required distance between coordinates (-3, 4) and (-3, 10) is 6 units.
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How much water will it take to fill the aquarium?
Please anawer this question. Will put as brainliest if i get an answer
Answer:
4096
Step-by-step explanation:
You multiply 32 in. by 8 in. by 8 in.
Answer:
4096
Step-by-step explanation:
to find volume you can just multiply length, width, and height together :) Hope this helps!!! ❤
Solve the following inequality for hh. Write your answer in simplest form.
h-8>4h+5
Answer:
h<-13/3
Steps:
Move variable to the left side and change its sign
h-4h-8>5
Move constant to right and change its sign
h-4h>5+8
Collect like terms
-3h>5+8
Add the numbers
-3h>13
Divide both sides of the inequality by -3 and flip the inequality sign
h<-13/3
See the question above.
A) 96 ft2
B) 24 ft2
C) 48 ft2
D) 38 ft2
Answer:
C. 48 [tex]ft^2[/tex]
Step-by-step explanation:
The formula for finding the area of a triangle is:
[tex]\frac{1}{2}bh[/tex]
The "[tex]b[/tex]," is the base (10), and the "[tex]h[/tex]," is the height (9.6), so plug it in:
[tex]\frac{1}{2} (10)(9.6)\\[/tex]
[tex]\frac{1}{2} (96)[/tex]
48 [tex]ft^2[/tex]
A function g(x) has x-intercepts at (5,0) and (6, 0). Which could be g(x)?
g(x) = 2(x + 1)(x + 6)
g(x) = (x + 6) (2x - 1)
g(x) = 2(x-2)(x-6)
g(x) = (x + 6) (x + 2)
Answer:
g(x) = a(x-5) ( x-6)
Step-by-step explanation:
A function g(x) has x-intercepts at (5,0) and (6, 0)
g(x) = a(x-5) ( x-6)
If you mistyped and the x intercepts are at 2 and 6
g(x) = 2(x-2)(x-6)
25POINTS!!!
In ΔFGH, h = 7.1 cm, f = 6.7 cm and ∠G=103°. Find the length of g, to the nearest 10th of a centimeter.
Answer:
10.8 cm
Step-by-step explanation:
Using cosine law
g² = 7.1² + 6.7² - 2(7.1)(6.7)cos(103)
g² = 116.7018433
g = 10.80286274
Answer:
10.8
Step-by-step explanation:
deltamath
