Answer:
The correct numbers are;
1) 0
2) 25
3) 1.25
4) 2.5
When the ball is hit at 0 seconds, it has a height of 0 feet. The ball's height increases until it reaches its maximum height of 25 feet after 1.25 seconds. The ball's height then decreases until it reaches the ground 2.5 seconds after it was hit
Step-by-step explanation:
The given equation for the height of the ball, h(t), in feet, is given as follows
h(t) = 40·t - 16·t²
Therefore;
1) When the ball is hit at 0 seconds, it has a height of h(0) = 40×0 - 16×0² = 0 feet
2) The time to reach maximum height by the ball is found by taking the derivative (slope) of the function for the height of the ball and noting that at maximum height, the derivative (slope) = 0
Therefore;
h'(t) = 40 - 2 × 16·t = 0
40 - 32·t = 0
t = 40/32 = 5/4 seconds = 1.25 seconds
3) The maximum height is then found from the value of the function at t = 5/4 seconds as follows;
h(5/4) = 40×5/4 - 16×(5/4)² = 50 - 25 = 25 feet
4) The time in which the ball reaches the ground where h(t) = 0 is given from the formula for the height of the gulf ball as follows;
h(t) = 0 = 40·t - 16·t²
40·t - 16·t² = 0
(40 - 16·t)·t = 0
Therefore;
t = 0 seconds or t = 40/16 = 2.5 seconds
(40 - 16·t) = 0/t = 0
t = 40/16 = 2.5 seconds
Therefore, the filling the blanks with the correct numbers gives;
When the ball is hit at 0 seconds, it has a height of 0 feet. The ball's height increases until it reaches its maximum height of 25 feet after 1.25 seconds. The ball's height then decreases until it reaches the ground 2.5 seconds after it was hit
PLEASE HELP THIS IS DUE IN LIKE AN HOUR
What is the slope of the line that passes through the points shown in the table?
I THINK the slope is y=2/1-3 or y=2/1+(-3) if you're looking for slope intercept form. but I for sure know the slope is positive. this is what the lines look like. hope this helps
I need help asap please
Answer:
y=3x+6, y=5x,
Step-by-step explanation:
If K is the midpoint of JL , JK = 6x + 11 and KL = 16x +1, find JL.
Pls I need help
Since K is the midpoint of JL and we know that JK and KL are separate segments of JL, JK and KL are equal to each other.
6x + 11 = 16x + 1
Subtract 6x and 1 from both sides
10 = 10x
Divide both sides by 10
1 = x
We also know that:
JL = JK + KL = 6(1) + 11 + 16(1) + 1 = 6 + 11 + 16 + 1 = 34
2log50+2log2 sederhanakan dengan caranya
Answer:
4
Step-by-step explanation:
log(50×50)×log(2×2)
log (2500)×log(4)
log(2500×4)
log(10000)
log(10^4)
=4
A line passes through the points (1,-6) and (4,3) What is the Y intercept of this line?
Answer: b=-9
Step-by-step explanation:
To find the y-intercept of the line, we can use the points given to make an equation. To find the slope, you use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].
[tex]m=\frac{3-(-6)}{4-1} =\frac{9}{3} =3[/tex]
Now that we know the slope, we can fill in what we know and solve for y-intercept.
y=3x+b
We can plug in any point to solve for y-intercept.
3=3(4)+b [multiply]
3=12+b [subtract both sides by 12]
b=-9
Now, we know that the y-intercept is b=-9.
Construct a square whose area is
36 cm²
Simplify 7(exponent 6) multiplied by 7 (exponent 5)
ALGEBRA QUESTION THAT NEEDS ANSWER ASAP
A) 11.7
Step-by-step explanation:
sin 20/4=sin 87/c
sin 87×4=sin 20c
3.9945=0.3420c
c=3.9945/0.3420
c=11.7
What is the pattern ?
0, 1, 8, 27, 64,
Answer:
Step-by-step explanation:
1 (=1×1×1)
8 (=2×2×2)
27 (=3×3×3)
64 (=4×4×4)
what are the steps to simplifying radical expressions?
Answer:
Step 1: Find the prime factorization of the number inside the radical.
Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind.
Step 3: Move each group of numbers or variables from inside the radical to outside the radical. In this case, the pair of 2’s and 3’s moved outside the radical.
Step 4: Simplify the expressions both inside and outside the radical by multiplying.
Step-by-step explanation:
plz help will mark brainliest
PLz hurry i really need this okay
Answer:
Step-by-step explanation:
perfect squares=9,64,49
non perfect squares=24,88,6
Explain, in your own words, how to solve two-step equations.
WILL GIVE 15 POINTS
What is
2
- ---- x times 15
3
If you are asking what 2/3 times 15 is its 10
What are the reasons?
Given: 3x + 1 = -14; Prove: x = -5
Statements
Answer:
x=-5
Step-by-step explanation:
Statement Reason
3x+1 =-14 Given
3x=-15 Subtraction Property of Equality
x=-5 Division Property of Equality
i need help ordering this from least to greatest
Solving Absolute Value Equations: Solve 4|x+7|+8=32
Convert this rational number
to its decimal form and round
to the nearest thousandth.
Answer:
.857
Step-by-step explanation:
6/7 = about .8571
rounded to thousandth is .857
Point O is on line segment NP. Given OP = 10, NP = 2x, and NO = x + 7,
determine the numerical length of NO.
Answer:
Step-by-step explanation:
?
Answer:
Its 24
Step-by-step explanation:
The area of a square is given by A = 82, where s is the length of each side of the square.
If the area of a square room is 81 square meters, what is the length of 1 side of the room,
in meters?
Answer:
The area of the square being 81 sq m, each side will be 81^0.5 = 9 m. The perimeter is thus 4 times the side = 4*9 = 36 m. The sides of the square are the square root of the area (81m^2), which is 9m.
Step-by-step explanation:
Hope dis helps
What is the distance between -5 and 2?
units
———- units
Answer:
7
Step-by-step explanation:
5+2 is the difference between the two numbers
Answer:7
Step-by-step explanation:
hope its help thanks for seeing my answe bye
to
What is mZXYZ
57
147
33
123
Answer:
57°
Step-by-step explanation:
[tex]\angle XYZ \: and \: \angle NOP \: are \: complementary. \\
\therefore m\angle XYZ + m\angle NOP = 90\degree \\
\therefore m\angle XYZ + 33 \degree = 90\degree \\
\therefore m\angle XYZ = 90\degree - 33 \degree \\
\huge \orange {\boxed {\therefore m\angle XYZ = 57\degree}}
[/tex]
Equations: -5n=1 n+15= (-10) n/5 = -1/5 n-13= -12 Solutions n= -25 n= -1/5 n= -1 n=1 Match each equation with it's solution
Answer:
-5n = 1 ⇒ n = -¹/₅ n+15 = (-10) ⇒ n = 25 n/5 = -1/5 ⇒ n = -1 n-13= -12 ⇒ n = 1Step-by-step explanation:
-5n = 1
÷(-5) ÷(-5)
n = -¹/₅
n + 15 = (-10)
-15 -15
n = -25
n/5 = -1/5
×5 ×5
n = -1
n - 13 = -12
+13 +13
n = 1
Answer:
-5n = 1 : n = -¹/₅
n+15 = (-10): n = -25
n/5 = -1/5 : n = -1
n-13= -12: n = 1
Mai wants to make a scale drawing of her kitchen. her kitchen is a rectangle with length 6m and width 2m. She decides on a scale of 1 to 40. Mal's Kitchen door is 1.2 m wide. How wide should the door be on the scale drawing?
How wide should the door be on the scale drawing?
cm
Explain how you know
Type your response in the box below.
c. Mai's kitchen table measures 4 cm by 2.5 cm on the scale drawing.
What are the actual measurements of her kitchen table?
Type your answers in the boxes below.
Answer:
Her door should be 3cm on scale
The actual dimension of the kitchen table is
[tex]Length = 1.6m[/tex]
[tex]Width = 1m[/tex]
Step-by-step explanation:
Given
[tex]Scale= 1 : 40[/tex]
[tex]Kitchen\ Dimension= 6m\ by\ 2m[/tex]
[tex]Door\ Width = 1.2m[/tex]
Solving (a): The width of the door on the scale
Represent the scale width with x
So, we have:
[tex]1 : 40[/tex]
and
[tex]x : 1.2[/tex]
Equate both ratios
[tex]1 : 40 = x : 1.2[/tex]
Represent as fraction
[tex]\frac{1}{40} = \frac{x}{1.2}[/tex]
Solve for x
[tex]x = \frac{1.2}{40}[/tex]
[tex]x = 0.03m[/tex]
[tex]x = 3cm[/tex]
Hence, her door should be 3cm on scale
Solving (b): Actual Dimension of the kitchen table
To solve this, we simply multiply the scale dimensions by 40
[tex]Length = 4cm * 40[/tex]
[tex]Length = 160cm[/tex]
[tex]Length = 1.6m[/tex]
[tex]Width = 2.5cm * 40[/tex]
[tex]Width = 100cm[/tex]
[tex]Width = 1m[/tex]
Hence:
The actual dimension is
[tex]Length = 1.6m[/tex]
[tex]Width = 1m[/tex]
h(x) = 3x + 3
g(x)=-4x + 1
Find (h+ g)(10)
How to solve this ?
Answer:
h(x ) = 3 x+ 3
g ( x ) = − 4 x + 1
( h +g ) ( x ) = 3 x + 3 − 4 x + 1 = − x + 4
( h + g ) ( 10 )
= − 10 + 4
= − 6
Step-by-step explanation:
I don’t know know to do this... Someone please help
I’ve done this with single numbers before, but not with the equations. I’m not sure how to navigate through the problem with all of the equations and numbers....
Answer:D
Step-by-step explanation:
IL MARK AS BRAINLIEST PPL
Answer:
3/4 AND 4/5 are greater than 11/20
Step-by-step explanation:
multiply 3/4 by 5 and u get 15/20
milptiply 4/5 by 4 and u get 16/20
your finding the LCM and LCD
A muffin recipe uses 1/3 cup of milk per batch. Which model shows how many batches can be made with 3 cups.
Answer: 1/3
Step-by-step explanation:
PLZZZZZZ ANSWER
ASAP
READ QUESTIONS CAREFULLY
Answer:
7
Step-by-step explanation:
Amber earned $14.50 babysitting on Saturday. On Sunday, she spent $6.95 when she purchased a movie ticket. She needed to borrow money from a friend to complete her purchase of a snack. How much money did Amber pay for the snack if she owes her friend $5?
(sorry for the second question in a short time loll, first to answer gets brainliest)
Answer:
$12.55
Step-by-step explanation:
14.50-6.95=7.55
7.55 for the snacks which is what was left over after the ticket and she owes her friend 5 so u add that on
7.55+5=$12.55