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nekit [7.7K]
3 years ago
5

The height of an object after it is released can be modeled by the function mc016-1.jpg, where t is the number of seconds after

the object is released, v is the upward speed at release, and s is the starting height. If a quarterback throws a ball from his hand 6 feet in the air at a speed of 25 feet per second, how much time does his teammate have to catch the ball?
A)about 1.45 seconds
B)about 1.77 seconds
C)about 6 seconds
D)about 25 seconds
Mathematics
2 answers:
zzz [600]3 years ago
6 0
The correct answer is b.
Klio2033 [76]3 years ago
6 0
The answer is b
Hope this helps
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-(6-4p)<br> Can someone please help me. Thank you
Luden [163]
-(6-4p) \\ \\ GCF = 2 \\ \\ 2( \frac{6}{2} +  \frac{-4p}{2}) \ / \ factor \ the \ GCF \ out \\ \\ -2(3 - 2p) \ / \ simplify \\ \\

The final result is -2(3 - 2p).
4 0
3 years ago
Work out m and c for the line:<br> 2x + 3y +1=0 <br><br>m=<br>c =​
Sergio [31]

Answer:

m = - \frac{2}{3} , c = - \frac{1}{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 )

Given

2x + 3y + 1 = 0 ( subtract 2x + 1 from both sides )

3y = - 2x - 1 ( divide terms by 3 )

y = - \frac{2}{3} x - \frac{1}{3} ← in slope- intercept form

with m = - \frac{2}{3} and c = - \frac{1}{3}

4 0
3 years ago
A company interested in lumbering rights for a certain tract of slash pine trees is told that the mean diameter of these trees i
brilliants [131]

Answer:

97.6% of the trees will have diameters between 7.6 and 18.6 inches.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 12 inches

Standard Deviation, σ = 2.2 inches

We are given that the distribution of diameter of tree is a mound shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(diameters between 7.6 and 18.6 inches)

P(7.6 \leq x \leq 18.6) = P(\displaystyle\frac{7.6 - 12}{2.2} \leq z \leq \displaystyle\frac{18.6-12}{2.2}) = P(-2 \leq z \leq 3)\\\\= P(z \leq 3) - P(z < -2)\\= 0.999 - 0.023 = 0.976= 97.6\%

P(7.6 \leq x \leq 18.6) = 97.6\%

97.6% of the trees will have diameters between 7.6 and 18.6 inches.

8 0
3 years ago
Solve the equation by factoring. 8x^2+10x-7=0<br><br> What is the solution set?
nydimaria [60]

Answer:

\large \text{$x_1$}=-\dfrac{7}{4}, \large \text{$x_2$}=\dfrac{1}{2}

Step-by-step explanation:

Given: 8x² + 10x - 7 = 0

<u>When factoring trinomials of the form ax² + bx + c</u>:

  • multiply the leading coefficient and the last term.
  • find the product factors that add to give you the coefficient of the middle term.
  • rewrite the polynomial with those factors replacing the middle term.

1. Split the middle term:

⇒ 8 × -7 = -56 [multiply the leading coefficient and the last term]

⇒ 14, -4 [find the product factors that add to the middle term's coefficient]

⇒ 8x² + 14x - 4x - 7 = 0 [rewrite with those factors replacing the middle term.]

2. Factor by grouping:

⇒ 8x² + 14x - 4x - 7 = 0 [factor out 2x]

⇒ 2x(4x + 7) - 4x - 7 = 0 [factor out -1 or the negative sign]

⇒ 2x(4x + 7) -1(4x + 7) = 0 [factor out 4x + 7]

⟹ (4x + 7)(2x - 1) = 0

3. Separate into 2 cases:

  1. 4x + 7 = 0
  2. 2x - 1 = 0

 

<u><em>Case 1:</em></u>

⇒ 4x + 7 = 0 [subtract 7 from both sides]

⇒ 4x + 7 - 7 = 0 - 7

⇒ 4x = -7 [divide both sides by 4]

⇒ 4x ÷ 4 = -7 ÷ 4

⟹ x = \bold{-\dfrac{7}{4}}

<u><em>Case 2:</em></u>

⇒ 2x - 1 = 0 [subtract 1 from both sides]

⇒ 2x - 1 + 1 = 0 + 1

⇒ 2x = 1 [divide both sides by 2]

⇒ 2x ÷ 2 = 1 ÷ 2

⟹ x = \bold{\dfrac{1}{2}}

Solutions:

\large \text{$x_1$}=-\dfrac{7}{4}, \large \text{$x_2$}=\dfrac{1}{2}

Learn more about quadratic equations here:

brainly.com/question/27750885

brainly.com/question/27739892

brainly.com/question/27638369

7 0
2 years ago
Read 2 more answers
A cone-shaped tent has a diameter of 12 ft and a height of 6 ft.
HACTEHA [7]
Volume should be 226.08 
volume of a cone= 1/3 pi radius squared multiplied by height 
6x6=36 multiply by height 36x6=216  divide by 3=72 now multiply by pi =226.08 
your answer is 226.08
7 0
3 years ago
Read 2 more answers
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