The table below provides the values of the functions g(t) and h(t) for
several values of t.

Which of the following is a solution to the equation f(t)=h(t)

Using the vertex, it is found that the maximum height of the punt is of 27.7 feet.

The height of the punt, after x seconds, is given by:

[tex]f(x) = -0.0152x^2 + 1.25x + 2[/tex]

It is a quadratic equation with coefficients [tex]a = -0.0152, b = 1.25, c = 2[/tex].

The maximum value is the value of the function at the vertex, hence:

[tex]f_V = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}[/tex]

Applying the coefficients:

[tex]f_V = -\frac{b^2 - 4ac}{4a} = -\frac{(1.25)^2 - 4(-0.0152)(2)}{4(-0.0152)} = 27.7[/tex]

The maximum height of the punt is of 27.7 feet.

A similar problem is given at https://brainly.com/question/16858635

Answer:

124.409

Step-by-step explanation:

sana makatulong sa inyong lahat

Answer:

363/20,000

.................................................................................

Answer:

24

Step-by-step explanation:

Let the number be " x ".

11 % of x = 4

( 11 / 100 ) * x = 4

x = 4 * ( 100 / 11 )

x = 400 / 11

66 % of that number

= 66 % of x.

= 66 % of 400 / 11

= ( 66 / 100 ) x ( 400 / 11 )

= ( 66 x 400 ) / ( 100 x 11 )

= 6 x 4

= 24

Answer:

0.08

Step-by-step explanation:

the orange circle is all people who like iced coffee, since we want the probability of liking only iced coffee, we need to look at the part of the orange circle not overlapping with the blue circle. this is 0.08

Step-by-step explanation:

Volume of cylinder = πr²h

42mi = 221760 ft .

The correct alternative that, matches the correct value of this expression is the letter A. That is, the answer will be 35.

To find the value of this expression, let's eliminate the parentheses, and add the numbers, where the signs are equal.

_ When the signs are the same: just add them up.

_ When the signs are different: just subtract.

[tex]\large \sf =27-(-8)[/tex]

[tex]\large \sf =27+8[/tex]

[tex]\boxed{\boxed{\large \sf \ 35 \ }}[/tex]

So, the numeric value of this numeric expression will be 35.

Answer:

3.75

Step-by-step explanation:

trust me

The Venn Diagram B, C and D, all represents two sets with common elements.

In B, the circle F is inside the circle G, so F share all of its elements with G. It is like a baby inside the belly of her mother :)

In C, F and G circles intersect and the intersection is their common space, and

the D is like the B.

But A reprents two sets F and G with no common elements. So the answer is A.

Good Luck

Answer:

3x²–6x–5

Step-by-step explanation:

3x²–2x+1–4x–6

collect like terms

3x²–2x–4x–6+1

3x²–6x–5

Answer:

274900

Step-by-step explanation:

Convert a number to and from scientific notation, e notation, engineering notation, standard form, and real numbers. Enter a number or a decimal number or scientific notation and the calculator converts to scientific notation, e notation, engineering notation, standard form and word form formats.

To enter a number in scientific notation use a carat ^ to indicate the powers of 10. You can also enter numbers in e notation. Examples: 3.45 x 10^5 or 3.45e5.

Order of magnitude will also be identified for the calculated standard form. The order of magnitude when written in standard form, is the nth power of 10. For example, 3.4 x 10^5 has an order of magnitude of 5 since 10 is raised to the 5th power.

Answer:

Yes it is written in scientific notation.

Step-by-step explanation:

Scientific notation is --> a x 10^b.    where a and b are certain values. This value follows that pattern, so yes it is in scientific notation.

Answer:

x=pi/4, 5pi/4

Step-by-step explanation:

cot x = cos x / sin x, csc x = 1/sin x, so we have 2 cos x / sin x = 1/ sin^2 x. multiply both sides by sin^2 x to get 2 cos x * sin x = 1, divide both sides by 2 to get cos x sin x = 1/2, this would work for angles pi/4 and 5pi/4 (3pi/4 and 7pi/4 would make cos x sin x = -1/2) since cos x = sin x = sqrt(2)/2

Proportional relationships are used to represent direct variation

The number of calories in 14 brownies is 233, and the proportional relationship is [tex]\mathbf{c = \frac{50b}{3}}[/tex]

Let b represents brownies and c represents calories.

So, the relationship is given as:

b : c = 3 : 50

Express as fractions

[tex]\mathbf{\frac bc = \frac{3}{50}}[/tex]

Multiply both sides by c

[tex]\mathbf{b = \frac{3}{50}c}[/tex]

When the number of brownies is 14, we have:

[tex]\mathbf{14 = \frac{3}{50}c}[/tex]

Multiply both sides by 50/3

[tex]\mathbf{14 \times \frac{50}{3} = c}[/tex]

[tex]\mathbf{233 = c}[/tex]

Rewrite as:

[tex]\mathbf{c = 233 }[/tex]

Make c the subject in [tex]\mathbf{b = \frac{3}{50}c}[/tex]

[tex]\mathbf{c = \frac{50b}{3}}[/tex]

Hence, the number of calories in 14 brownies is 233, and the proportional relationship is [tex]\mathbf{c = \frac{50b}{3}}[/tex]

Read more about proportional relationships at:

https://brainly.com/question/24312388

Answer:

a) 5.25m^2

b) 1 can

Step-by-step explanation:

a)

area of a triangle = bh/2

=(4.2 x 4.5)/2

=18.9/2

=9.45m^2

area of a rectangle = 2(l+w)

=2 x (0.6 + 1.5)

=4.2m^2

9.45-4.2 = 5.25m^2

b) 1 can, you can't have a partial can of paint

Answer: 2/3 of 30.5 is 20.3333333333

Answer:

Step-by-step explanation:

x = 180 - 117 = 63°

y = 360 - 63 - 86 - 98 = 113°

Sum of angles along a line about a point on the line is 180°

Sum of internal angles on a quadrilateral is 360°

Answer:

1.$2.89

Step-by-step explanation:

1/3 off $ 0.38 $ 0.25

2 for 1 at $ 5.78 $ 2.89

Step-by-step explanation:

x = traveled hours

when multiplying miles/hour by hours, this gives

hours × miles / hours

so, the dimension hours is eliminated on top and bottom of that fraction (or ratio) leaving only miles.

therefore,

468 = 95x + 85x = 180x

x = 468/180 = 2.6 hours or 2 6/10 hours = 2 hours and 6×6 minutes = 2 hours and 36 minutes

remember,

1 hour = 60 minutes

1/10 hour = 60/10 = 6 minutes

Answer:

Step-by-step explanation:

2.6 h

Answer:

KN be better

sons of if his

Answer: 180 students

Step-by-step explanation:

Answer:

$15540 is 2.1% of 740,000 which is the same percent as the 920,000 which was 2.1 percent so your answer is $15540

Step-by-step explanation:

Answer:

x = -4 and y = -15

Hope This Helps!!!

Answer: just simply add them and you get 11000

b. four fifths plus two fourths

Step-by-step explanation: Change the fractions to their equivalents in 20ths-- like finding the common denominator.

Divide the original denominator into 20, then multiply the result by the original numerator to get the new numerator.

4/5  20/5 = 4    4×4 = 16   so 4/5 is equivalent to 16/20

2/4   20/4 = 5    5×2 = 10   so  2/4 is equivalent to 10/20  

Add:    16/20 + 10/20 = 26/20

brainliest me

Answer:

Point slope form: y − 7 = 3 4 ( x − 3 ) Slope intercept form: y = 3 4 x + 19 4 or y = 3 4 x + 4 3 4

Step-by-step explanation:

hope this helps, have a nice day/night! :D

if it helped, please mark this as brainliest!

Answer:

Slope = 1

Step-by-step explanation:

Slope = change in y / change in x

Slope = 6 - (-4)/7 - (-3)

Slope = 10/10

Slope = 1

-Chetan K

Answer:

50,000(1+0.09)^8

50000(1.99256)

A=99,628.13

Answer:

On the LHS:

Frequency is measured in rad/s, or [tex]s^-^1[/tex];.

On the RHS: [tex]1/2\pi[/tex] is a-dimensional, forces are measured in newton, or [tex]kg\cdot m\cdot s^-^2[/tex]; masses are measured in kg, distances in m.

[tex][s^-1] = (\frac{[kg \cdot m\cdot s^-^2]}{ [kg \cdot m]}) ^\frac12 \\{[s^-^1]} = [s^-^1][/tex]

Answer:

X = 7/3y - 10/3

Step-by-step explanation:

Add - 7y to both sides = -3x + 7y = 10 - 7y

= -3x = 10 - 7y

Divide both sides by -3

-3x/-3 = 10/-3 - 7y/-3

x = 7/3y - 10/3