Answer:
i) The maximum height of the ball 'x' = 1.5 seconds
ii) The maximum height = 42
Step-by-step explanation:
Step(i):-
Given h(x) = - 16 x² + 48 x +6 ...(i)
Differentiating equation (i) with respective to 'x'
[tex]h ^{l} (x) = - 16 (2 x) +48 (1)[/tex] ...(ii)
Equating Zero
- 3 2 x + 4 8 = 0
- 32 x = - 48
x = 1.5
step(ii):-
The maximum height of the ball 'x' = 1.5
Again Differentiating equation (ii) with respective to 'x'
[tex]h ^{ll} (x) = - 16 (2 x) < 0[/tex]
The maximum height 'x' = 1.5
h(x) = - 16 x² + 48 x +6
h(1.5) = - 16 (1.5)² +4 8 (1.5) +6
= 42
The maximum height at x = 1.5 is = 42
Final answer:-
i) The maximum height of the ball 'x' = 1.5 seconds
ii) The maximum height = 42
Harry bought a sweater that only cost $5 when it normally costs $35. What percent was the discount? Provide an explanation. A. 16.7% B. 14.3% C. 30.0% D. 85.7%
Answer:
D. 85.7%
Step-by-step explanation:
its figuring out the percentage decrease
so you would go
35-5= 30
30/35 x 100 = 85.7
Answer:
Step-by-step explanation:
Discount = 35 - 5 = 30
Percentage of discount = (30/35) * 100
= 85.7 %
*WORTH 15 POINTS!!!*
please answer this (photo attached - question below)
( the “<“ have _ under them in the real questions sorry if that’s confusing)
PART A:
the domain of the function is _____ < x < ______
PART B:
the range of the function is _____ < f(x) < _____
PART C:
the function decreases from _____ < x < _____
Answer:
what is this I don't kno!
Solve for x pls hurry !
Answer:
x = 7
Step-by-step explanation:
7x + 68 = 2x + 103
5x = 35
x = 7
Help!!!
Point A(-5,8) is reflected across the line y = x. What are the coordinates of A’?
Show your work an explain!
Answer:
(8, -5)
Step-by-step explanation:
When you reflect across the line y = x, you switch the two numbers in the coordinate. The point (a, b) turns into (b, a).
Express the series using sigma notation. 6 + 9 + 12 + 15.
15
Σ 40
n=6
explanation; add all the numbers to get 40
6 is the first number and 15 is the last number
Answer: D on edg
Step-by-step explanation:
determine the value of x in the diagram with explanation plz
A bicycle tire is 28 inches in diameter. Approximately how far does the bicycle move forward
each time the wheel goes around? (Use as an approximation for 7r.)?
Answer: 88 inches
Step-by-step explanation:
So the radius of the tire is computed by dividing it in half. We know that in one round of the wheel, the wheel moves to a distance equal to the circumference of the wheel. So each time the wheel goes around, the bicycle moves about 88 inches 88 i n c h e s forward.
Answer:
The answer would be=
88 Inches!
Step-by-step explanation:
I hope you do well!
Could anyone plz help me with this question ?
Answer:
45
Step-by-step explanation:
b and c are part of an 180 degrees angle.
You already have a 90 degrees angle
180-90=90
And since there are 2 angles
90/2=45
And b and c are vertical angles
Divide 24.71/13 to 3 decimal place
Step-by-step explanation:
1.901
hope this helps.
Answer:
1.900769231
In three decimal places is 1.901
Step-by-step explanation:
HAVE A GOOD DAY!
Mountain climber Joe climbed to a mountain peak that was1200 feet above its base and 1500 feet east of its base. Mountain climber Bob climbed to a mountain peak that was 900 feet above its base and 1000 feet east of its base.
Who climbed a steeper mountain? Explain.
Answer:
Joe’s mountain had a rise of 1200 and a run of 1500, making the slope of the mountain 4/5. Bob’s mountain had a rise of 900 and a run of 1000, making the slope of the mountain 9/10. Since 9/10 is larger than 4/5, the slope of Bob’s mountain is steeper than the slope of Joe’s mountain.
Step-by-step explanation:
edge 2020
Answer:
Sample Answer: Joe’s mountain had a rise of 1200 and a run of 1500, making the slope of the mountain 4/5. Bob’s mountain had a rise of 900 and a run of 1000, making the slope of the mountain 9/10. Since 9/10 is larger than 4/5, the slope of Bob’s mountain is steeper than the slope of Joe’s mountain.
Step-by-step explanation:
The frequency distribution of weights (in kg) of 40 persons is given below.
Weights (in kg)
30 - 35
35 - 40
40 - 45
45 - 50
50 - 55
Frequency
6
13
14
4
3
(a) What is the lower limit of fourth-class interval?
(b) What is the class size of each class interval?
(c ) Which class interval has the highest frequency?
(d) Find the class marks of all the class intervals?
Answer: (a) 4
(b) 5
(c) 14
(d)
Class interval Class mark
30 - 35 [tex]\dfrac{35+30}{2}=32.5[/tex]
35 - 40 [tex]\dfrac{35+40}{2}=37.5[/tex]
40 - 45 [tex]\dfrac{40+45}{2}=42.5[/tex]
45 - 50 [tex]\dfrac{45+50}{2}=47.5[/tex]
50 - 55 [tex]\dfrac{50+55}{2}=52.5[/tex]
Step-by-step explanation:
The data of 40 persons is given as :
Weights (in kg) Frequency
30 - 35 6
35 - 40 13
40 - 45 14
45 - 50 4
50 - 55 3
(a)
Lower limit is the lowest number in a class interval .
So, is the lower limit of fourth-class interval (45 - 50) is 4.
(b)
Class size = Upper limit - lower limit
So, Class size of first class interval = 35-30=5
Thus , class size of each interval is 5. [ class size remains same]
(c)
Highest frequency in table = 14 which is corresponding to 40 - 45 .
Thus , 40 - 45 is the class interval has the highest frequency.
(d)
Class mark is the mid value of each class interval.
Class interval = [tex]\dfrac{(\text{Upper limit+Lower limit})}{2}[/tex]
Class interval Class mark
30 - 35 [tex]\dfrac{35+30}{2}=32.5[/tex]
35 - 40 [tex]\dfrac{35+40}{2}=37.5[/tex]
40 - 45 [tex]\dfrac{40+45}{2}=42.5[/tex]
45 - 50 [tex]\dfrac{45+50}{2}=47.5[/tex]
50 - 55 [tex]\dfrac{50+55}{2}=52.5[/tex]
I only need to know is it 360 or 180?
Answer:
So we know that all angles add up to 360. We first subtract it by 81
Now we have 279 as an answer. But since 2w + 81 cant be 360 because it doesn't add up because you have to spaces in between them. It adds up to 180 not 360
From your question its 180A.nswer:
The answer is 180.
Step-by-step explanation:
Mark me brainiiest✌✌
all addition must be simplified before any subtraction
Answer:
True
Step-by-step explanation:
Sophia wants to find out whether people like a new airport .she surveyed 20 people who work at the airport one morning in March to find their opinion of the airport . Write down two ways Sophia could improve her data collection method.
Answer:
By asking a larger quantity of people.
Changing the time/date of when she went and asked the questions
Answer:
by asking more people because then she can get a more diverse answer
Step-by-step explanation:
Which multiplication equation can be used to solve
1/6 divided by 5
Answer: 1/6x1/5
You have to remember the method keep, change, flip. keep 1/6 change the division sign to the multiplication sign and flip the 5 to 1/5.
Hope this helps <3
-Carrie
Be sure to mark brainliest
:)
equation of a line pass through origin in called
The equation of a straight line with gradient m passing through the origin is:
[tex]\displaystyle y=mx[/tex]
The line passes through the origin, so the y-intercept is [tex]0[/tex]
[tex]\displaystyle y=mx+b[/tex]
[tex]\displaystyle y=mx+0[/tex]
[tex]\displaystyle y=mx[/tex]
Help ! Help ! Help ! Fast
Answer:
The answer iis d
Step-by-step explanation:
what is the vertex of y=1/2(x+4)^2+1
What is 3 to the tenth power
Answer: 59049
Step-by-step explanation: 3 to the power of 10 = 310 = 59049.
( I hope this helped <3 )
The number 3 raised to the power of 10 (that is [tex]3^{10[/tex]) is calculated as: 59,049.
How to find the tenth power of a number?The step-by-step calculation for 3 to the tenth power ([tex]3^{10[/tex]) is shown and explained below:
Start with the base number, which is 3.
Multiply the base number by itself to the power of 1:
[tex]3^1[/tex] = 3
Continue multiplying the result by the base number for each subsequent power:
3² = 3 × 3 = 9
3³ = 3 × 3 × 3 = 27
[tex]3^4[/tex] = 3 × 3 × 3 × 3 = 81
[tex]3^5[/tex] = 3 × 3 × 3 × 3 × 3 = 243
[tex]3^6[/tex] = 3 × 3 × 3 × 3 × 3 × 3 = 729
[tex]3^7[/tex] = 3 × 3 × 3 × 3 × 3 × 3 × 3 = 2,187
[tex]3^8[/tex] = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 = 6,561
[tex]3^9[/tex] = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 = 19,683
[tex]3^{10[/tex] = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 = 59,049
Therefore, 3 raised to the power of 10 is equal to 59,049.
Learn more about powers on:
https://brainly.com/question/29006727
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Which choice is equivalent to the fraction below
Answer:
C
Step-by-step explanation:
a fraction will almost always be division
Answer:
C
Step-by-Step explanation:
6/17 = 0.35
What is the surface area of the prism, in square centimeters?
Answer:
182
Step-by-step explanation:
2( \frac{1}{2} \times 4 \times 6 ) + 2( 5 \times 10 ) + ( 6 \times 10 )
= {182cm}^{2}
The area of a 2D form is the amount of space within its perimeter. The total surface area of the prism is 184 cm².
What is an area?
The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
The surface area is the sum of the area of the 5 faces of the triangular prism, therefore, we can write,
Surface area = sum of the Area of the rectangular faces + 2(Area of the triangle base)
Now, the Area of a rectangular face is,
Area = (5cm × 10cm) + (5cm × 10cm) + (6cm × 10cm)
= 160 cm²
The area of the triangle base,
Area = 0.5 × 4cm × 6cm = 12 cm²
Further, the total area of the Prism will be,
Total surface area = 160cm² + 2(12cm²) = 184cm²
Hence, the total surface area of the prism is 184 cm².
Learn more about Area:
https://brainly.com/question/1631786
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Which graph has a slope of ? A coordinate plane with a straight line. The line starts at (negative 5, negative 4) and passes through points at (0, 1) and (4, 5). A coordinate plane with straight line. The line starts at (negative 5, negative 2) and passes through points at (negative 1, 0) and (4, 5). A coordinate plane with straight line. The line starts at (negative 5, negative 1) and passes through points at (negative 2, 0) and (3, 2). A coordinate plane with straight line. The line starts at (negative 4, negative 5) and passes through points at (0, 0) and (4, 5).
Answer:
slope of the first line: 1
slope of the second line: 0.778
slope of the third line: 0.375
slope of the fourth line: 1.25
Step-by-step explanation:
Given two points (x1, y1) and (x2, y2), the slope of a line is computed as follows:
slope = (y2 - y1)/(x2 - x1)
Therefore,
slope of the first line: [5 - (-4)]/[4 - (-5)] = 1
slope of the second line: [5 - (-2)]/[4 - (-5)] = 0.778
slope of the third line: [2 - (-1)]/[3 - (-5)] = 0.375
slope of the fourth line: [5 - (-5)]/[4 - (-4)] = 1.25
Answer:
this the question and answer i have and i-d-k what the other person is solving l.o.l
Step-by-step explanation:
Write (2y^2)^3 without exponents.
Answer:
Step-by-step explanation:
(2y²)³=2³×y^6=8y^6
=8×y×y×y×y×y×y
Triangle Q R S is shown. Line R Q extends through point P. Angle Q S R is 35 degrees. Angle S R Q is 58 degrees. Exterior angle S Q P is x degrees. What is the value of x? [Art not to scale.]
x = 23
x = 35
x = 58
x = 93
Answer:
x = 93
Step-by-step explanation:
Given
<QSR = 35
<SRQ = 58
<SQP = x
Required
Find x
To find the value of x, a triangle needs to be drawn (See attachment).
From the attachment;
<SQP + <SQR = 180 ----------Angle on a straight line (Equation 1)
<SQR + <QSR + <SRQ = 180 ----------- Sum of angles in a s triangle (Equation 2)
Substitute <QSR = 35 and <SRQ = 58 in equation 2
<SQR + 35 + 58 = 180
<SQR + 93 = 180
Subtract 93 from both sides
<SQR + 93 - 93 = 180 - 93
<SQR = 87
SUbstitute 87 for <SQR in Equation 1
<SQP + 87 = 180
Subtract 87 from both sides
<SQP + 87 - 87 = 180 - 87
<SQP = 93
Recall that <SQP = x
So, x = 93
Answer:
x = 93
Step-by-step explanation:
cuz it is
Need Help ASAP will give brainliest!!!
Answer:
216 ft²
Step-by-step explanation:
For this question, first find the area of the outsides of the square walls.
Since the cube has side lengths of 6, we can simply find the area of each wall. Remember, for a square, A = s².
A = 6²
A = 36. This is the area for each side of the wall. Since she is painting 4 walls, we can multiply this by 4.
36 ×4 = 144.
To find the area of the ceiling, we will need to use the formula for the area of a triangle : A = 1/2(bh). The base in the figure would be 6, and the height is also 6.
A = 1/2(6 ·6)
A = 1/2 (36)
A = 18. Therefore, each part of the ceiling is 18. Since the base is a square shape, there are 4 triangles that make up the ceiling. Multiply this by 4, giving you:
18 × 4 = 72.
Add the two areas from the walls and the ceiling:
144 + 72 = 216 ft²
Answer:
Ok, so i got 216
Step-by-step explanation:
mulityply 6✖️6✖️6=216 the rest of the numbers are tricking you hopefully this helps.
Which statement is true?
Answer:
B
Step-by-step explanation:
The notation ⊥ means the 2 lines are perpendicular, which by definition means they intersect at a 90 degree angle.
Find the Surface Area of this triangular prism.
Answer:
408 squared units
Solve -8(x+6)-1=5(x-2) for x
The value of X is -3.
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Answer:
[tex]x = - 3[/tex]
Step-by-step explanation:
[tex] - 8(x + 6) - 1 = 5(x - 2) \\ - 8x - 48 - 1 = 5x - 10 \\ - 8x - 5x = 48 + 1 - 10 \\ - 13x = 39 \\ \frac{ - 13x}{ - 13} = \frac{39}{ - 13} \\ x = - 3[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Which cylinder has the greatest volume?
1.a cylinder with a height of 9 cm and a radius of 9 cm
2.a cylinder with a height of 12 cm and a radius of 6
3.a cylinder with a height of 6 cm and a radius of 12
cm
4.a cylinder with a height of 15 cm and a radius of 3
Answer:
3
Step-by-step explanation:
because the raidus of 12 and 6 cancel
A car travels on a highway at a constant speed of 67 miles per hour. Which equation and table shows the correct relationship between , the number of hours, and , the distance traveled
Answer:
distance ÷ 67 = how many hours took to ride that much
you can use a normal table that looks like the ones on google when you search up "tables in math"
I'm sorry for this short answer! I'm in a rush but I hope this helped!