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
Write each sentence using mathematical symbols
The quotient of x and 7 is 5 more than three times
Answer:
36
Step-by-step explanation:
so basically thats the answer
Mr. Smith is a lawyer who charges the same amount for each hour. He charges $576 for 8 hours of work. How much will he charge for 5 hours?
Math WILL GIVE BRAINLIEST A. How many different outcomes are represented in your tree diagram?
B. Suppose the three primary colors are red, yellow, and blue. How many outcomes contain at least one primary color?
Step-by-step explanation:
hello just came here to get likes
Pleaseeee help !! I made this a 50 point question
The angle "b" and the angle "d" are both the same angle measure. In other words, they are opposite angles that share the black dot in the middle. Angle "a" and angle "c" are both opposite angles which make them the same. They can also be called congruent angles. Even if they are facing a different direction, they are the same.
Therefore, the answer is 130 degrees
Best of Luck!
answer:
130 degrees
explanation:
the angles "a" & "c" are opposite (also called congruent) so they are the same.
What is the hypothesis of the statement?
"I will cook dinner, if I get home before 5:00."
I will cook dinner.
If I get home after 5:00.
I will not cook dinner.
If I get home before 5:00.
Answer:
if i get home after 5:00
Step-by-step explanation:
there is an IF
A Machine can produce six yards of yarn in two minutes. How many yards of yarn can it produce in one hour
Answer:180
Step-by-step explanation:
X square + 5 x + 6
Step-by-step explanation:
We can simplify the polynomial x² + 5x + 6 as (x + 2)(x + 3)
Let me know what are you looking for regarding this polynomial!
Answer:
(x+2)(x+3)
Step-by-step explanation:
x^2+5x+6
x^2+(2+3)x+6
x^2+2x+3x+6
x(x+2)+3(x+2)
(x+2)(x+3)
A square patio has an area of 135 square feet.How ling is each side of the patio to the nearest tenth?
Answer:
[tex]\boxed {\tt 11.6 \ feet}[/tex]
Step-by-step explanation:
The area of a square can be found using the following formula.
[tex]A=s^2[/tex]
We know the area of the patio is 135 square feet. Substitute 135 ft² in for A.
[tex]135 \ ft^2=s^2[/tex]
We want to find the side length. We must isolate the variable, [tex]s[/tex]. on one side of the equation.
s is being squared. The inverse of a square is a square root. Take the square root of both sides of the equation.
[tex]\sqrt{135 \ ft^2} =\sqrt{s^2}[/tex]
[tex]\sqrt{135 \ ft^2} =s[/tex]
[tex]11.61895 \ ft =s[/tex]
Round to the nearest tenth. The 1 in the hundredth place tells us to leave the 6 in the tenth place.
[tex]11.6 \ ft \approx s[/tex]
Each side of the patio is about 11.6 feet.
Find the distance between the points (4,10) and (0,0) the answer must be a whole number
Answer:
d = [tex]2\sqrt{29}[/tex]
Step-by-step explanation:
[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d= \sqrt{(0-4)^2+(0-10)^2}\\d= \sqrt{(-4)^2+(-10)^2}\\d= \sqrt{16+100}\\d= \sqrt{116}\\d=2 \sqrt{29}[/tex]
Jamine has a half-sheet cake. If she has six friends, how much will each one get?
Answer:
1 12th (1 over 12)
Step-by-step explanation:
If she had a whole cake it would be 1 6th (1 over 6) of the cake. To get the answer for this do fraction for the amount of food then multiply that by 1 as the numerator and the number of people as the denominator (1 over the # of people). Then the fraction you get as your answer from multiplying that is the fraction or answer to your question. Note this only works with these types of questions. I really hope this helps.
a cookie recipe calls for 2/3 cup of brown sugar. sarah is making 1/4 of the recipe. how much brown sugar will she need
Answer:
She will need 1/6 of a cup of sugar to make 1/4 of the recipe.
Step-by-step explanation:
Write and solve an equation of ratios. On the left side we have the ratio of the fraction of the recipe and on the right that of the amount of sugar in each case:
1 recipe 2/3 cup
------------- = -------------
1/4 recipe x
Cross multiplying gives us:
1x = (1/4)(2/3), or
x =2/12 or 1/6
She will need 1/6 of a up of sugar to make 1/4 of the recipe.
Carey correctly graphs a linear function. The slope of the function is –1. The y-intercept is 3. Which is Carey’s graph?
On a coordinate plane, a line goes through points (0, 3) and (3, 0).
On a coordinate plane, a line goes through points (negative 3, 0) and (0, 3).
On a coordinate plane, a line goes through points (0, negative 1) and (1, 2).
On a coordinate plane, a line goes through points (negative 1, 2) and (0, negative 1).
Answer:
graph A in the right answer.
Step-by-step explanation:
I just took the test :)
Answer:
its A.
Step-by-step explanation:
just took the quiz
I need help with math
Answer:
E) |g-540|
Step-by-step explanation:
E) |g-540|
If it weighed a bit over, say 545, you would get |545-540|=|5|=5
If it weight a little under, say 535, you would get |535-540|=|-5|=5
Either way, it tells you how far away from 540 the package is in grams from the desired weight.
Name the sets of numbers to which each number belongs
find If g(x) = x2 + 2, find g(3). 9 8 11 6
Answer: 11
Step-by-step explanation: replace x for 3 and solve.
The area of a rectangular rug is 25.5 square meters. The width of the rug is 3.75 meters. Found the length of the rug by dividing its area by its width. What is the length in of the rug?
I need help on this mathematical equation B is the Midpoint of AC.
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
B is the midpoint of AC so AB = BC.
AB + BC = AC
AB + AB = AC
2(AB) = AC
[tex]2\left(3\left(3x-1\right)\right)=5\left(2x+2\right)[/tex]
Expand:
[tex]2\times3\left(3x-1\right)=5(2x+2)[/tex]
[tex]6\left(3x-1\right)=5(2x+2)[/tex]
[tex]6\times3x-6\times1=5\times2x+5\times2[/tex]
[tex]18x-6=10x+10[/tex]
Add 6 to both sides:
[tex]18x-6+6=10x+10+6[/tex]
[tex]18x=10x+16[/tex]
Subtract 10x from both sides:
[tex]18x-10x=10x+16-10x[/tex]
[tex]8x=16[/tex]
Divide both sides by 8:
[tex]\frac{8x}{8}=\frac{16}{8}[/tex]
[tex]x=2[/tex]
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
First, we know that the entire segment adds up to 5(2x+2). In other words:
[tex]AB+BC=5(2x+2)[/tex]
Now, since B is the midpoint of AC, by the definition of midpoint, AB and BC are equivalent. So:
[tex]AB=BC[/tex]
Since we know that, let's substitute BC for AB in the first equation:
[tex]AB+BC=5(2x+2)\\[/tex]
This is equivalent to:
[tex]AB+AB=5(2x+2)[/tex]
Combine like terms:
[tex]2AB=5(2x+2)[/tex]
And since we know that AB is 3(3x-1), substitute:
[tex]2(3(3x-1))=5(2x+2)[/tex]
Now, solve for x.
Distribute the left side:
[tex]6(3x-1)=5(2x+2)[/tex]
Distribute both sides:
[tex]18x-6=10x+10[/tex]
Add 6 to both sides:
[tex]18x=10x+16[/tex]
Subtract 10x from both sides:
[tex]8x=16[/tex]
Divide both sides by 8:
[tex]x=2[/tex]
So, the value of x is 2.
And we're done!
Notes:
You didn't particularly state what you need to find. If you want to length of AB or BC, it would be:
[tex]AB=BC=3(3(2)-1)=15[/tex]
And the entire length AC is:
[tex]AC=2(15)=30[/tex]
The ordered pair (1,0) is a solution to the inequality y
Please select the best answer from the choices provided
T
F
Simplify the expression using the distributive property. 16m + 4(3m – 2a)+32
Answer:
16m + 12m - 8a + 32
Step-by-step explanation:
16m + 4(3m) - 4(2a) + 32. distribute the number (4) among the numbers inside of the parenthesis
16m + 12m -8a + 32. multiply
Which set of numbers is included in the solution set of 8 - 5x > 23
Answer:5
Step-by-step explanation: because i had this question before
Use the distributive property to find the product
Answer:
14mn-12m
Step-by-step explanation:
Find the midpoint between each pair of points.
(7,-2) and (-4,2)
Answer:
Midpoint: [tex](\frac{3}{2} ,0 )[/tex]
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
Step 1: Define variables
x₁ = 7
x₂ = -4
y₁ = -2
y₂ = 2
Step 2: Plug into midpoint formula
[tex](\frac{7-4}{2} ,\frac{-2+2}{2} )[/tex]
Step 3: Simplify/Evaluate
[tex](\frac{3}{2} ,\frac{0}{2} )[/tex]
[tex](\frac{3}{2} ,0 )[/tex]
Abigail is driving on a long road trip she currently has 13 gallons of gas in her car each hour that she drives her car is up 1 gallon of gas how much gas would be in the tank after driving for two hours how much gas will be left after T hours
Step-by-step explanation:
Well, if 1 gallon of gas = 1 hour then
2 hours would be 2 gallons so only 11 gallons of gas would be left in the tank and
13 hours would be 13 gallons, so 0 gallons of gas would be left in the tank
4(1 - 4r) + 5(r - 7)
Answer -11r - 31
First you have to multiply the 4 to the numbers on parenthesis and also the 5 to the numbers of parenthesis.
What value of a makes the equation true?
3(a + 1.5) = -1.5
Answers: 2, -2 ,-1 ,1 PLS HELPPO
What is the exact number of hundreds in 4,575?
Answer:
45
Step-by-step explanation:
3rd from the left and over r considered 100s
What is 3.680 divided by 7.86??
Answer:
The answer is 0.5 since we are rounding to the tenths place
Answer:
0.47 or 0.468 whichever one is better
Step-by-step explanation:
just divide with a calculator
Which equation represents a line that is parallel to y = -4x + 3 and passes through the point (-3,2)?
a. y= -4x - 10
b. y=-4x + 2
c. y= -4x + 5
d. y= 1/4x - 7/2
e. y= 1/4x + 11/4
Answer:
a
Step-by-step explanation:
y-2/x+3= -4
-4x-12=y-2
y=-4x-12+2
y=4x-10
Please do this for me I need to finish everything else by the end of tonight and I don’t have that much time so please help me out and do this for me
a2+(b−c); a=−8, b=17, c=21
Answer:
-20
Step-by-step explanation:
a2 + ( b-c)
rewrite the equation
2 * a + ( b - c )
a = -8
b = 17
c = 21
substitute in the given values
(-8) 2 + ( (17) - (21) )
simplify and solve
-16 + ( 17-21)
= -16 + (-4)
= -16 -4
=-20