Answer:
1/3
Step-by-step explanation:
2/6 which is 1/3
5 and 6 is greater than 4
The height of an acrobat who jumps from a trampoline to a large mat on the ground can be modeled by f(x)=-8x^2+16x+10, where x is the time in seconds after the acrobat jumps.
How high is the trampoline off the ground?
Find the maximum height of the acrobat and the time it takes to reach this height.
The trampoline is 10 units off the ground.
The maximum height of the acrobat is 18 units, and it takes 1 second to reach this height.
We have,
To find the height of the trampoline off the ground, we need to determine the value of f(x) when x is equal to zero.
This is because at the moment the acrobat jumps (x=0), the height of the acrobat is the height of the trampoline.
Given the function f(x) = -8x² + 16x + 10, we substitute x=0 into the function:
f(0) = -8(0)² + 16(0) + 10
f(0) = 0 + 0 + 10
f(0) = 10
Now,
To find the maximum height of the acrobat and the time it takes to reach this height, we can observe that the function f(x) is in the form of a quadratic equation in the form of ax² + bx + c, where a = -8, b = 16, and c = 10.
The maximum height of the acrobat occurs at the vertex of the quadratic function.
The x-coordinate of the vertex is given by:
x = -b / (2a)
Substituting the values, we have:
x = -16 / (2 * -8)
x = -16 / -16
x = 1
The time it takes to reach the maximum height is 1 second.
To find the maximum height, substitute the value of x back into the function:
f(1) = -8(1)² + 16(1) + 10
f(1) = -8 + 16 + 10
f(1) = 18
Therefore,
The trampoline is 10 units off the ground.
The maximum height of the acrobat is 18 units, and it takes 1 second to reach this height.
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Solve the equation using the inverse operation .. \
z + 13 = 28
z = ?
Thanks a lot -virtual smiles- :)
Answer:
15
Step-by-step explanation:
28 - 13 = 15
what is 16789 plus 1313333
Answer:
1,330,122
Step-by-step explanation:
16789+1313333= 1,330,122
f(x) = -2x^2 – 5x+1
h(x) = 3(x+3)^2 – 11
h(f(-1)) =
I hope this helps you
1. If Salwa constructs a triangle using her protractor, and the first two
angles she constructed were 55° and 105°, what will the third angle be
when she is done?
80°
30°
20°
55
Answer: 20°
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
Angle 1 = 55°
Angle 2 = 105°
The sum of the three interior angles of a triangle is always 180°.
So:
180 = 55+105 + x
Where x is the missing angle.
Solving for x:
180-55-105 =x
20°=x
Feel free to ask for more if needed or if you did not understand something.
PLEASE HELP ME ASAP!!!! A circle fits in a square with sides of 12 inches. What is the approximate area of the shaded region between the square and
the circle? (Use 3.14 for x and round to the nearest whole number.)
12 inches
12 inches
31 in?
68 in 2
108 in 2
125 in 2
Answer:
Depending on the shaded area, it will be less than 113 in², so not the last option
Step-by-step explanation:
Area of a circle is A= πr²
if it fits in 12 inch sides, 12 i the diameter and 6 is the radius
A= 3.14(6)²
A= 113 in²
Then, find what the shaded area is
there are 12 gumballs in a gumball machine . there is 1 red, 6 yellow, 2 green, and 3 blue gumballs. what is the color that is most likely to come out of the machine next .
Answer:
Yellow
Step-by-step explanation:
As the ratios of all gum all’s in a comparison yellow has the most
Solve each Multi-Step equation.
-6(-6n + 2)=-228
Answer:
-6
Step-by-step explanation:
-6(-6n + 2)=-228
distribute -6
36n -12 = -228
add 12
36n= -228+12
36n= -216
divide 36
n = -6URGENT PLEASE
Identify the constant difference for a hyperbola with foci (−3, 0) and (3, 0) and a point on the hyperbola (7, 0).
Answer:
6
Step-by-step explanation:
By definition, the constant difference for a hyperbola is:
d = |PF1 - PF2|
where PF1 is the distance between points P and F1, and PF2 is the distance between points P and F2
Let's call F1 to (-3, 0), F2 to (3, 0) and P (7, 0). Then, the distances are:
PF1 = √[(-3 - 4)² + (0 - 0)²] = 7
PF2 = √[(3 - 4)² + (0 - 0)²] = 1
And the the constant difference is:
d = |7 - 1| = 6
What is a reasonable range for the given function?
If m∠CBD = 148°, what is m∠ABE?
Answer:
show the diagram so l can help you to solve it
Answer:
its 148
Step-by-step explanation:
i just answered it, you're welcome.
Express in exponential form.
log327 = 3
Answer:
3^3 = 27
Step-by-step explanation:
How you right ANY log in Exponential form is like this:
Log_x Z = y
x^y = Z
So...
Log_3 27 = 3
3^3 = 27
4b2 + 5b - 27
Which of the following describes 4 in the expression above?
A.sum
B. product
C. coefficient
D. quotient
Answer:
The answer is C, the coefficient.
Select the factored form of the expression. If it
cannot be factored, select "already in factored
form."
4x2 - 24x + 36
A.already in factored
form
B.(2x – 6)(2x - 6)
C.(2x - 6)(2x + 6)
D.(4x – 24)(x + 1)
Answer:
work is shown and pictured
1. An integer is 3 less than 5 times another. If the product of the two integers is 36, then find the integers
Answer:
-6 x -6
Step-by-step explanation:
2 negatives equal a positive
What is the equation, in slope-intercept form, of the line that contains the points (1, -4) and (2, 1)?
X Y
1 -4
2 1
Answer
y-1=5(x-2)
Step-by-step explanation:
1-(-4) =5
2-1=1
y/x = 5/1 =5
(2,1)
y-1=5(x-2)
A bag has 5 blue marbles, 1 pink marble and 2 red marbles. I draw a blue marble, put it back and draw again. What is the probability that the second marble is blue?
(A) 1/2
(B) 4/7
(C) 5/8
(D) 5/7
Answer:
C
Step-by-step explanation:
If you do 5+1+2=8 then it has to be out of 8. The only option that is out of 8 is c, and if you have 5 blue then the probability is 5 blue/8 marbles in the bag.
The probability of that second marble is blue is 5/8.
What is probability?
Probability is "possibility that deals with occurrence of random events".
According to the question,
Number of blue marbles = 5
Number of pink marbles = 1
Number of red marbles = 2
Total number of marbles = 5 + 1 + 2 = 8
Formula for Probability P(E) = [tex]\frac{Number of favourable events }{Total number of events}[/tex]
Probability of getting that second marble is blue = 5/8.
Hence, the probability of that second marble is blue is 5/8.
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Please help me quick
Answer:
93 degrees
Step-by-step explanation:
Any correct answers would be super helpful!
Answer:
74 ft
Step-by-step explanation:
[tex]-4^{2}[/tex] + 19(4) + 14
-16 + 76 + 14
74
Which expression can be used to find the surface area of the following square pyramid?
Answer:
Step-by-step explanation:
Surface area = 2bs + b^2
b = base
s = slant height
Answer:
Surface area = 2bs + b^2
Step-by-step explanation:
What is the value of x
Answer:
X=14
Step-by-step explanation:
A quadrilateral has angles that measure 125°, 1150, and 65º.
What is the measure of the fourth angle?
Answer:
If the Angles are 125 + 150+ 65 then the missing angle is 20.
Step-by-step explanation:
All angles need to add up to 360 degrees.
1 Which of the following statements is true?
Answer: a
Step-by-step explanation:
Will give brainliest :)
Using the graph, what is one solution to the equation f(x) = g(x)?
Graph of function f of x equals 4 times x minus 3. Graph of function g of x equals x cubed minus x squared minus 4 times x plus 4.
x = −2.8
x = 0.5
x = 2
x = 3
Answer: 0.5
( f + g ) (x) = –2x + 6
( f – g ) (x) = 8x – 2
( f × g ) (x) = –15x2 + 2x + 8
g
f
)(x)=
4−5x
3x+2 f (2) = 2(2) = 4
g(2) = (2) + 4 = 6
h(2) = 5 – (2)3 = 5 – 8 = –3
Now I can evaluate the listed expressions:
(f + g)(2) = f (2) + g(2)
= 4 + 6 = 10
(h – g)(2) = h(2) – g(2)
= –3 – 6 = –9
(f × h)(2) = f (2) × h(2)
= (4)(–3)= –12
(h / g)(2) = h(2) ÷ g(2)
= –3 ÷ 6 = –0.5
Step-by-step explanation:
By looking where the functions intercept, we conclude that the correct option is x = -2.8.
What is one solution to the equation f(x) = g(x)?
Here we have:
f(x) = 4x - 3g(x) = x³ - x² - 4x + 4To find a solution of f(x) = g(x), we can graph both equations on the same axis, and see where the curves intercept.
The graph can be seen below:
There, we can see that we have intercepts at:
x = -2.8
x = 0.8
x = 2.9
From these, the only one that appears in the options is the first one, so that is the correct option.
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PLS HELP HURRY ASP BEST ANSWER GETS BRAINLESST!
Answer:
Hi there!
The following answers:
3. 7 c > 3 (1/4) pt 4. 5 gal > 18 qt
5. 45 cm = 450 mm 6. 4.5 km < 5000 m
Step-by-step explanation:
There are 2 cups in one pint.
There are 4 quarts in one gallon.
One kilo meter is 1000 meters.
In the science lab Shad found that a candle
used 60 out of 270 ml of trapped air before
going out. What percent of the air did the
candle use?
I’m
Answer:
22.22%
Step-by-step explanation:
60/270times 200%
Which expression is equivalent to 3(6m)+m ?
A
19m
B
21m
C
7m+3
D
18m+6m2 please help me :C
Answer:
A. 19m
Step-by-step explanation:
3(6m) + m
Distribute:
18m + m
Add like terms:
19m
A net of a three-dimensional figure is shown.
5 ft
10 ft
6 ft
pls help me it is due in 6 minutes
Mary can type six letters in 20 minutes, Maggie can type five letters in 20 minutes, and Su Ying can type two letters in 20 minutes. Working together, and assuming that each letter is of the same length, how many minutes will it take them to type 45 letters?
Answer:
Step-by-step explanation:
After 20 minutes, will all of them working together, they would have typed 13 letters. Then after another 20 minutes, it would be 26. Then 39. But after that is gets tricky. Mary types a letter every 3 minutes. Maggie types a letter every four minutes. and Su Ying types a letter every 10 minutes. After 6 minutes, the total would go to 42 letters. Then another 3 minutes it would be 44 letters. And finally, Su Ying finishes it. Taking a total of 70 minutes, or 1 hour and 10 minutes.
Mark Brainliest Please, And I'm Glad I Could Help. (If I Did) :) Have A Good Day!