Given:
Consider the function is:
[tex]h(t)=-16t^2+100t+5[/tex]
This function is used to calculate how far the potato will be from the ground at any given second (t).
To find:
The value of h(0) and its meaning in the context of the problem.
Solution:
We have,
[tex]h(t)=-16t^2+100t+5[/tex]
At t=0,
[tex]h(0)=-16(0)^2+100(0)+5[/tex]
[tex]h(0)=0+0+5[/tex]
[tex]h(0)=5[/tex]
Therefore, the value of h(0) is 5. It means the potato is 5 feet from the ground at the time of shooting.
DUE TODAY HELP
It is not possible to plagiarize in math when the questions are multiple choice since
you don't have to write out your work.
True
False
PLSSSSSSS HELP MEHHHHHH REWARD BRAINLIESTTTT
Answer:
y=f(x)
Step-by-step explanation:
This means it falls under x axis
Q2. f(x) moves to the left
Q3. moves to the right
A soccer game is 60 minutes long. Forty-one minutes of the game
have been played. Write and solve an equation to find the number
of minutes m that remain. Enter your answer as m=?
After 3 hours, Ronald had travelled 195 miles. If he travels at a constant speed, how far in miles did Ronald drive per hour?
Answer:
65 miles per hour
Step-by-step explanation:
195 ÷ 3
= 65
Write an equation for the data in the table. Identify your variables.
First find the slope m. slope formula: [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
Let's use (0, -20) for x1 and y1; and (2, 10) for x2 and y2
[tex]\frac{10-(-20)}{2-0}[/tex] = [tex]\frac{30}{2}[/tex] = [tex]15[/tex]
Now find the y-intercept: the point where the graph crosses the y-axis. The y intercept always has an x value of 0. So -20 is the y-intercept
Use the slope formula [tex]y = mx + b[/tex]. Slope=m, y-intercept = b
y = 15x - 20
y is the money in the bank account in dollars
x is the day
PLEASE HELP +10 pts BUT BETTER SHOW WORK ON HOW U GOT THE ANSWER! No links. Plz.
I’ll report if u don’t answer the question I literally need help with this is no joke.
The new school copy machine makes 3,480 copies per hour. How many copies does the machine make per minute? How did you get your answer?
what’s the distributive property for 3(2x -1)*
Answer:
6x-3
Step-by-step explanation:
remove breceket
3×2 =6
3×-1= -3
answer is 6x-3
Gary draws this sequence of patterns of white and grey squares. The sequence is continued. How many grey squares will there be with 16 white squares?
Answer:
20 gray squares
Step-by-step explanation:
Given
See attachment for squares
Required
Number of gray squares when white = 16
First, we calculate the equation that represents both squares.
The white squares
[tex]a = 2[/tex] --- initial
[tex]d = 4 - 2 = 6 - 4[/tex]
[tex]d = 2[/tex] -- difference between successive gray squares
So, the nth term is:
[tex]W_n = a + (n - 1)d[/tex]
[tex]W_n = 2 + (n - 1)*2[/tex]
[tex]W_n = 2 + 2n - 2[/tex]
[tex]W_n = 2n[/tex]
The gray squares
[tex]a = 6[/tex] --- initial
[tex]d = 8-6=10-8[/tex]
[tex]d = 2[/tex] -- difference between successive gray squares
So, the nth term is:
[tex]G_n = a + (n - 1)d[/tex]
[tex]G_n = 6 + (n - 1) *2[/tex]
[tex]G_n = 6 + 2n - 2[/tex]
[tex]G_n = 4 + 2n[/tex]
When the white squares is 16
[tex]W_n = 16[/tex] --- Calculate n
[tex]W_n = 2n[/tex]
[tex]16 = 2n[/tex]
[tex]8 = n[/tex]
[tex]n = 8[/tex]
To get the number of gray squares;
Substitute [tex]n = 8[/tex] in [tex]G_n = 4 + 2n[/tex]
[tex]G_n = 4 + 2 * 8[/tex]
[tex]G_n = 20[/tex]
Enter the correct answer in the box
The number of cups of sports drink that can be filled from a cooler varies inversely with the capacity of each cup. If each cup holds
6 ounces, 128 cups can be filled.
Write an equation that can be used to find the number of cups, c, of sizes ounces that can be filled from the cooler.
Answer:
the equation should be c=768/s or c s=768.
Step-by-step explanation:
This situation involves inverse variation, so the equation will either take the form c=6/3 or the form cs=k.
To write a general equation for this situation, find the value of k. Use the form cs=k and the point (128,6) since the container can fill 128 cups holding 6 ounces each.
cs=k
(128)x(6)=k
768=k
Using 768 for k, the general equation is c=768/s or cs=768.
The equation for the number of cups for a specific size can be written as c = 768/x.
What is a Linear equation?A linear equation is a equation that has degree as one.
To find the solution of n unknown quantities n number of equations with n number of variables are required.
The amount of drinks carried by each cup is 6 ounces.
And, the total number of cups are 128.
Then,the total amount of drink is 128 × 6 = 768 ounces.
Suppose the number of cups be c.
And, the size of each cup be x.
The following equation can be written for the number of cups as,
c = 768/x
Hence, the equation that describes the number of cups for the given case is c = 768/x.
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What is the distance between the points (5, 13) and (-8, -9) on a coordinate plane rounded to the nearest tenth unit?
Answer:
25.6
Step-by-step explanation:
Use the distance formula.
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\d = \sqrt{(-8 - 5)^2 + (-9-13)^2}\\d = \sqrt{(-13)^2 + (-22)^2}\\d = \sqrt{169 + 484}\\d = \sqrt{653}[/tex]
The distance between the points (5, 13) and (-8, -9) is 25.6 units after using the distance formula.
What is a distance formula?It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.
The distance formula can be given as:
[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have two points (5, 13) and (-8, -9)
[tex]\rm d=\sqrt{(-8-5)^2+(-9-13)^2}[/tex]
d = √(169+484)
d = 25.55 units ≈ 25.6 units
Thus, the distance between the points (5, 13) and (-8, -9) is 25.6 units after using the distance formula.
Learn more about the distance formula here:
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pls answer this asap
Answer:
y = - [tex]\frac{3}{2}[/tex] x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (2, 0) ← 2 points on the line
m = [tex]\frac{0-3}{2-0}[/tex] = - [tex]\frac{3}{2}[/tex]
The line crosses the y- axis at (0, 3 ) ⇒ c = 3
y = - [tex]\frac{3}{2}[/tex] x + 3 ← equation of line
which should i pick?
Answer:
5 X 4 is the correct answer.
Step-by-step explanation:
I don't know exactly what the question is asking, but there are 5 sections of 4 squares, which makes 24, so that would seem like the best answer to choose.
A floor tile is shaped like a regular hexagon. The side lengths are 4 cm and the apothem 2√3 cm.
What is the area of the hexagonal floor tile?
Enter your answer as a decimal to the nearest hundredth.
area = cm2
Answer:
Area of regular hexagon[tex] \approx 41.57 \: {cm}^{2} [/tex]
Step-by-step explanation:
Area of regular hexagon
[tex] = 6 \times area \: of \: one \: triangle \\ \\ = 6 \times \frac{1}{2} \times 4 \times 2 \sqrt{3} \\ \\ = 24 \sqrt{3} \\ \\ = 41.5692194 \: {cm}^{2} \\ \\ \approx 41.57 \: {cm}^{2} [/tex]
Answer:
41.57
Step-by-step explanation:
took the test
20/50 divide by 85/50
Answer:
Decimal form:0.23529411764
Fraction form:
Step-by-step explanation:As a decimal fraction:
23529411764/100000000000
The Greatest Common Factor
of 23529411764 and 100000000000 is:4
Simplify the fraction:
23529411764 / 4
100000000000 / 4
Simplified:
5882352941/25000000000
Lexy and Lonnel applied to the same university. They looked up the average SAT score of students admitted to that university. Lexy’s SAT score was 30 points above the average score. Lonnel’s SAT score was 270 points below the average score. Which expression represents the difference in their scores?
❘-270 - 30❘
❘30 - 270❘
-❘30 - ❘270❘
-❘30❘ + ❘-270❘
9514 1404 393
Answer:
(a) ❘-270 - 30❘
Step-by-step explanation:
One score is -270 and the other is +30. The difference is either of ...
|30 -(-270)|
or
|-270 -30| . . . . . . matches choice A
The points (4, -6) and (r, 6) lie on a line with slope 3. Find the missing coordinate r.
Answer:
r = 8
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to 3
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (4, - 6) and (x₂, y₂ ) = (r, 6)
m = [tex]\frac{6+6}{r-4}[/tex] = [tex]\frac{12}{r-4}[/tex] , then
[tex]\frac{12}{r-4}[/tex] = 3 ( multiply both sides by (r - 4))
12 = 3(r - 4) ← divide both sides by 3
4 = r - 4 ( add 4 to both sides )
8 = r
HELP HELP ME PLZ !!!
Answer:
GK=JK
Step-by-step explanation:
SSS congruency is side-side-side congruency. We are given that GH=JH and KH=KH, which are both sides.
For SSS, we need 3 pairs of congruent sides. We already have 2 pairs.
The options are:
<G=<J
<H=<H
GK=JK
the first two options, <G=<J and <H=<H are talking about congruent angles. We don't need to know about congruent angles for SSS
GK=JK is talking about a pair of congurent sides. Then, we would have 3 pairs of congruent sides, satisfying the criteria needed for SSS. Therefore, we must know that GK=JK.
Hope this helps!
Please help fast
The graph below shows a company's profit f(x), in dollars, depending on the price of goods x, in dollars, being sold by the
company:
Part A: What do the x-intercepts and maximum value of the graph represent?
prefent? ?
Part B: What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and
profit?
Part C: What is an approximate average rate of change of the graph from x = 1 to x = 3, and what does this rate represent?
WILL GIVE BRAINLIEST!
Write the expression as a difference of squares.
25x2 − 4
Factor the difference of squares.
25x2 − 4
Answer:
(5x-2)(5x+2)
Step-by-step explanation:
Differences of squares is basically (a2-b2) = (a-b) (a+b)
a = 5x and b = 2 in this case
Brainliest is appreciated :)
Find the value of y from the above rhombus
A. 2
B. 3
C. 7
D. None of these
Answer:7
Step-by-step explanation:
Two straight lines are shown.
Answer:
(3,20)
Step-by-step explanation:
so O must be 0,0 and A is a midpoint of OB
This means B must be (14,12)
B is the midpoint of TS.
This means that the distance of SB is equal to the distance of BT.
This must mean that the coordinate of T must be (3,20)
O: (0,0) x coordinate increases by 7. y coordinate increases by 6.
A: (7,6)
B: (14,12)
S: (25,4) x coordinate decrease by 11. y coordinate increases by 8.
B: (14,12)
T: (3,20)
The coordinates of T are (3, 20).
What is Straight Line?A straight line is an endless one-dimensional figure that has no width.
From the figure, A is the midpoint of OB and B is the midpoint of TS
The coordinates of O are (0, 0) and Coordinates of A are (7,6)
We can find coordinate of B.
(7, 6)=(0+x/2, 0+y/2)
(7,6)=(x/2, y/2)
x/2=7 and y/2=6
x=14 y=12
So the coordinates of B are (14, 12)
Now we can find the coordinates of T.
(14, 12)=(X+25/2, Y+4/2)
X+25=28
x=3
Y+4=24
Y=20
So the coordinates of T are (3, 20)
Hence, the coordinates of T are (3, 20).
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Pls Help asap thx alot
Answer: 52.5cm²
Step-by-step explanation:
Firs, you have to split this composite shape into two separate shapes; a rectangle and triangle.
To work out the area of the rectangle you would have to do 8x5=40.
To work out the area you would have to find out the height of it first. So, to do this you would have to do 1+2=3 then do 8-3=5. Now we know the height is 5.
Then you have to use the formula base times height divided by 2 (b×h/2). So 5×5=25 then 25÷2=12.5
To then find the total area of this composite shape you would have to add the two areas together. So 40+12.5=52.5cm²
Hope this helps :)
In the accompanying diagram of rectangle ABCD, diagonal AC is drawn, DE = 8, DE 1 AC, and m2 DAC = 55. Find the area of rectangle ABCD to the nearest integer.
Answer:
sin (55) = DE / AD
AD = DE / sin (55)
AD = 8 / sin (55)
And
tan (55) = DC / AD
tan (55) = DC / [8 / sin (55) ]
DC = 8 tan (55) / sin (55)
AD * DC =
[8 /sin (55) ] [ 8 tan (55) / sin (55) ] = 136 units^2
Step-by-step explanation:
f
10. Which equations could be used to solve
for x? Circle all that apply.
Answer: B and D
Step-by-step explanation:
The options are
27.65
55.3
62.35
124.7
Answer:
Angle BAC = 62.35
Step-by-step explanation:
Here, we want to get the angle marked BAC
From the diagram, we have the angle ABC as 90
This is because angle at the center is twice the angle at the circumference
Furthermore, using the arc angle relationship;
angle ACB is half arc AB
so ACB angle is 55.3/2 = 27.65
mathematically;
Angle BAC + 27.65 + 90 = 180
This is because sum of angles in a triangle is 180
Thus;
angle BAC = 180-90 - 27.65
angle BAC = 62.35
What is the slope of this line??
Answer:
3/2
Step-by-step explanation:
Answer:
m= 8/5
Step-by-step explanation:
Points on the graph: ( -4, -4) and (1, 4)
Slope:
m=(y2-y1)/(x2-x1)
m=(4+4)/(1+4)
m= 8/5
2x + 6
96
solve for x using an algebraic equation
Answer:
v
Step-by-step explanation:
HELP ASAP 20 POINTS BRAINLIEST
So the arrow goes through (-2 and -2) so your answer would be -4
-2+-2=-4
Hope this helps
Which statement could be used to explain why the function h(x) =3 has an inverse relation that is also a function
Correct Question is:
Which statement could be used to explain why the function h(x) = x3 has an inverse relation that is also a function?
1. The graph of h(x) passes the vertical line test.
2. The graph of the inverse of h(x) is a vertical line.
3. The graph of the inverse of h(x) passes the horizontal line test.
4. The graph of h(x) passes the horizontal line test.
Step-by-step explanation:
Answer is Option 2: The graph of the inverse of h(x) is a vertical line.
A given expression in x i.e. y = f(x) will be a function if and only if there exists only one value of y that is true for every value of x. We will do the vertical line test for verification if the inverse of a function is a
If we plot f(x) and draw a straight line parallel to y-axis from a point x belonging to its domain and this line meets the curve at only one point then f(x) will be a function. This test is called vertical line test.
So if the graph of inverse of h(x) passes the vertical line test then the inverse of h(x) is also a function.
