Answer:
B. 4
Step-by-step explanation:
The University of Washington Huskies tried throwing one of the longest Hail Marys in history—about 73 yards! For this pass, the ball's height over time was modeled by the function h(t) = -16t2 + 64t + 6, where was the height in feet and was the time in seconds. a) How long does it take for the football to reach its maximum height? b) What is its maximum height? c) How long will the football be in the air? It takes a good college football player about 8 seconds to run 73 yards. If the quarterback waited 4 seconds after the snap, does the receiver have a chance of catching the ball?
Answer:
See belowStep-by-step explanation:
Given function:
h(t) = -16t² + 64t + 6a)
The maximum height is the vertex. The x-coordinate of the vertex is -b/2a:
t = - 64/2*(-16) = 2It takes 2 seconds
b)
Maximum height is at vertex:
h(2) = -16(2²) + 64(2) + 6 = 70 ydc)
The ball is in the air between zero's of the equation or approximately double the time it reaches the vertex:
2*2 = 4 secondsThe receiver doesn't have a chance to catch the ball, since the ball is only 4 seconds in the air.
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Answer:
A. 8
Step-by-step explanation:
We are given the functions:
[tex]f(x)=\sqrt{x}\\\\g(x)=7x+b[/tex]
We are told that on a standard (x, y) coordinate plane that y = f(g(x)) passes through the point (4, 6). In order to solve for b, we need to figure out what f(g(x)) is equal to.
As with a regular function like the two above, f(g(x)) means you are substituting x with g(x) in function f. The problem gave us the two functions, so I will demonstrate what I mean.
[tex]f(g(x))=\sqrt{(7x+b)}[/tex]
The problem again tells us that y = f(g(x)) goes through (4, 6). Substitute those values for their respective variables and solve for b.
[tex]y=f(g(x))\\\\y=\sqrt{(7x+b)}\\\\6=\sqrt{(7(4)+b)}\\\\6=\sqrt{(28+b)}\\\\(6)^2=(\sqrt{(28+b)})^2\\\\36=28+b\\\\36-28=28+b-28\\\\8=b[/tex]
Therefore, the value of b is equal to 8.
A box of baseballs costs $66. 12. Which equation represents the cost, c, of n boxes?
Answer:
C
Step-by-step explanation:
cost=price of one box (number of boxes)
:))
Write each decimal as a mixed number or fraction in simplest form.
24. 1.4
25. 0.33
26. 0.24
27. 4.44
28. 2.8
29. 0.05
30. 0.005
31. 7.32
How do you show that x=6 is an true equation ?
x = 6 can be represented on the number line and hence it is real
Step-by-step explanation:
by simply plugging in 6 for x thus
x=6 becomes 6=6 which is true
What are the solutions of the equation x4−10x2+9=0? Use u substitution.
Group of answer choices
x = 3 and x = 1
x = 3i, x = -3i, x = i, x = -i
x = -3, x = 3, x = 1, and x = -1
x = -3 and x = -1
Answer:
Step-by-step explanation:
X^4 - 10X^2 + 9 =0 This factors. It just looks odd.
(x^2 - 1)(x^2 - 9) = 0
x^2 - 1 = (x + 1)(x - 1) = 0
x = 1 and x = - 1
x^2 - 9 = (x + 3)(x - 3) = 0
x = 3
x = -3
The correct answer is C (third one down).
1. The width of a rectangle is x centimeters and its length is (x + 5) cm.
(x + 5)
Diagram not drawn to scale
(a) Write down an expression for the perimeter of the rectangle, giving your
answer in its simplest form.
The perimeter of the rectangle is 62 cm.
(b) Work out the length of the rectangle.
Step-by-step explanation:
perimeter=2(l+b)
check the picture for more clarification
Find the solution of the system of equations.
−
10
x
−
9
y
=
−10x−9y=
10
10
8
x
+
9
y
=
8x+9y=
10
10
Answer:
sitting ai week few ai is
2x-y=5
2x-5y=-31
elimation method
Answer:
y=9, x=7
Step-by-step explanation:
2x-y=5 --> equation 1
2x-5y=-31 --> equation 2
change signs of equation 1
-2x+y=-5
solving method
-2x+y=-5 (cut -2x and 2x because -2x+2x =0)
2x-5y=-31 (likewise +y-5y and -5-31)
-4y= -36 (since -4 is multiplying on right side it will divide)
y= -36/-4 (cut negative with negative and simplify equation)
y= 9
put value of y in equation 1
2x-y=5
2x-9=5
2x= 14
x=14/2
x=7
Please help me please help mee
Help snsnsnansnsnsnsns
Answer:
answer is 420-69
Step-by-step explanation:
because those numbers are great
what is the right answer
Answer:
C. The third option
Step-by-step explanation:
square root of 3 = 1.73
2/6 = 0.333
254% = 2.54
I hope that this helps!
algebra 2 is really difficult please help me no bogus answers please
#1
Discount is 40%=0.04xSo the function is
e(s(x))=0.04x#2
[tex]\\ \tt\hookrightarrow( f\circ g)(x)[/tex]
[tex]\\ \tt\hookrightarrow f(x)g(x)[/tex]
[tex]\\ \tt\hookrightarrow (3x-1)(4x^2+9)[/tex]
[tex]\\ \tt\hookrightarrow 12x^3+27x-4x^2-9[/tex]
A line passes through the point (0, -3/2) and has a slope of 1/2. what is the eqaution of the line?
Answer:
y = 1/2x - 3/2
Step-by-step explanation:
We apply our knowledge of slope intercept form:
y = 1/2 x + b
therefore, we plug in the values for x and y getting
-3/2 = 0 + b
so b = -3/2, plug it back into the equation getting
y = 1/2x - 3/2
which one is correct and if you chose a,b,c,d explain why
a
b
c
d
Answer:
A. √150
Step-by-step explanation:
12² = 144
13² = 169
The only value of any of the options falling between 12 and 13 is √150
Find the next two numbers in the pattern -96, 48, -24, 12,...
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The given sequence is a geometric ~
let's find the common ratio (r) first ~
[tex] \dfrac{48}{ - 96} [/tex][tex] - \dfrac{1}{ 2} [/tex]And the first term (a1) of the sequence is ~ -96
let's find the 5th and 6th term.
The value of 5th term is ~
[tex]a_1{(r )}^{n - 1} [/tex][tex] - 96{ \bigg( - \dfrac{1}{2} \bigg) }^{5 - 1} [/tex][tex] - 96 { \bigg( - \dfrac{ 1}{2} \bigg) }^{4} [/tex][tex] - 96 \times \dfrac{1}{16} [/tex][tex] - 6[/tex]The value of 6th term is ~
[tex]a_1{(r )}^{n - 1} [/tex][tex]- 96{ \bigg( - \dfrac{1}{2} \bigg) }^{6 - 1} [/tex][tex]- 96{ \bigg( - \dfrac{1}{2} \bigg) }^{5 } [/tex][tex] - 96 \times - \dfrac{1}{32} [/tex][tex]3[/tex]Select two numbers that make the inequality true.
1/2x<10
Answer:
Any numbers below 20
Step-by-step explanation:
1/2x<10
Hope this helps :)
I’m stuck pls help thanks
Answer:
[tex](C) \ a=\frac{1}{b}.[/tex]
Step-by-step explanation:
(a+b)²=a²+b²+2;
a²+2ab+b²=a²+b²+2;
2ab=2;
ab=1
HELP ASAP!!! What is the measurement of where it says 41? I’m not sure if it’s in Feet or meters
Answer:
inches
Step-by-step explanation:
pretty sure that says 41 inches because at 36 it says 3 feet and 12 inches = 1 feet, so 36 inches equal 3 feet. The measurement would be inches.
Rotate the point (-3,-4) around the origin 180 degrees clockwise. State the image of the
point.
Answer:
(3,4)
Step-by-step explanation:
There are rules for rotations that make it really easy to find the images of any given point for any given rotation. In this case, we have an 180° clockwise rotation, and to find the image of any point rotated this way, we just have to make the x-values and y-values negative.
In this case, we have (-3,-4). Let's make each value negative: (-(-3), -(-4)). Our negative signs cancel out and we get (3,4). And that's the image of the point (-3,-4) at a 180° clockwise rotation about the origin.
Hopefully that's helpful! :)
Malika went shopping for a new pair of pants. Sales tax where she lives is 4%. What number should she multiply the price of the pair of pants by to find the total plus tax in one step?
Answer:
[tex]\frac{104}{100}[/tex]
Step-by-step explanation:
You would multiply 104/100 to the price because it would be 100%, (basically the price), plus the 4/100, the tax.
{Find the number that is missing from the equation}
Question 1 →3 + __________ = (-7)
Question 2 → Solve : (-9) + 18 + (-2) + (-5) + 9.
Answer:
-10
and I think it's 11 or 7
if you help ill mark you brilliant
Answer:
8/5
Step-by-step explanation:
hope this helps :D
If the cube shown is 4 inches on all sides, what is the length of the diagonal, x, of the cube?
A) 3 square root 2 inches.
B) 3 square root 3 inches.
C) 3 square root 4 inches.
D) 4 square root 3 inches.
Answer:
Step-by-step explanation:
Correct answer:
3√3
Explanation:
General formula for the diagonal of a cube if each side of the cube = s
Use Pythagorean Theorem to get the diagonal across the base:
s2 + s2 = h2
And again use Pythagorean Theorem to get cube’s diagonal, then solve for d:
h2 + s2 = d2
s2 + s2 + s2 = d2
3 * s2 = d2
d = √ (3 * s2) = s √3
So, if s = 3 then the answer is 3√3
Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers.
Brad and Laura are playing a board game. In the game, a player rolls two standard number cubes to move his or her game piece along
a path on the board. On the first three turns in the game, both number cubes land on six each turn.
The theoretical probability of rolling a six on both number cubes three times in a row is 1/?
(are/ are not)
Based on the probability of rolling a six on both number cubes three times in a row, Brad and Laura
likely using unfair number cubes.
Answer:
1/46,656 and Brad and Laura ARE like using unfair number cubes.
Step-by-step explanation:
9y?+21yz -8y?
hey, cansomebody help me? we've to factorize.
The factor of the expression 9y² + 21yz⁴ - 8y² will be y and (y + 21z⁴).
What is factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ 9y² + 21yz⁴ - 8y²
Simplify the expression, then we have
⇒ 9y² + 21yz⁴ - 8y²
⇒ y² + 21yz⁴
Factorize the expression, then we have
⇒ y² + 21yz⁴
⇒ y(y + 21z⁴)
The factor of the expression 9y² + 21yz⁴ - 8y² will be y and (y + 21z⁴).
More about the factorization link is given below.
https://brainly.com/question/6810544
#SPJ2
Please please help meee please help meeee
Answer:
i. $3000
ii. $9000
Step-by-step explanation:
25%=1/4, so we find one fourth of 12000, which is 3000, which is how much he lost, and remove that from the price he bought it, and we get the selling price, $9000.
find the slope of the line, given the points (0,2) and (3.6,2) show all your work
Answer:
There is no slope because the slope is zero. The line has no slope because it's a vertical line.
Step-by-step explanation:
Slope = [tex]\frac{2-2}{3.6-0} = \frac{0}{3.6} =0[/tex]
Slope = 0
The line has no slope.
Which number is greater explain your reasoning .375 or 3/8? help!
Answer: Neither is greater, they are perfectly equal. Or If it's a trick question, 0.375
Step-by-step explanation:
3 divided by 8 equals 0.375, no rounding or anything. I'm not sure if it is more of a trick, brain melting question, then in that case 0.375 because I suppose it could be a rounded number that represents numbers such as 0.3751, 0.3752, etc.
3x+5y=-9
-6x-10y=18
elimantion substuion method
Answer:
Infinitely many solutions
Step-by-step explanation:
2(3x + 5y = -9)
6x + 10y = -18
-6x - 10y = 18
0 = 0