7.
A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function h=-16t^2+36t+9. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary. What is the ball’s maximum height?

A. 1.13 s; 69.75 ft

B. 1.13 s; 29.25 ft

C. 2.25 s; 9 ft

D. 1.13 s; 31.5 ft

Answer:

Step-by-step explanation:

9x+[tex]\frac{1}{3}[/tex]=x-13

9x*3+1/3=x-13

27x+1/3=x-13

27x+1=3(x-13)

27x+1=3x-39

27x-3x=-39-1

24x=-40

x=-5/3

x=-5/3

Answer:

x = - [tex]\frac{5}{3}[/tex]

Step-by-step explanation:

Given

9x + [tex]\frac{1}{3}[/tex] = x - 13 ( multiply through by 3 to clear the fraction )

27x + 1 = 3x - 39 ( subtract 3x from both sides )

24x + 1 = - 39 ( subtract 1 from both sides )

24x = - 40 ( divide both sides by 24 )

x = [tex]\frac{-40}{24}[/tex] = - [tex]\frac{5}{3}[/tex]

Answer:

20%

Step-by-step explanation:

Answer:

29 times

Step-by-step explanation:

Given :

Society X ;

Population = 100

Number of facts known = 10

Average fact known per person = known fact / population = 10 / 100 = 0.1

Society X:

Population = 19

Common fact known by 9 = 5

Specialized fact, known by 10 = 5 * 10 = 50

Total facts = common + specialized = 55

Average fact known per person = 55 / 19 = 2.8947368 fact per person

Number of times society Z is better :

2.8947368 / 0.1 = 28.947 times

Approximately 29 times

Answer:

21

Step-by-step explanation:

Algebraic Method: Find Z-Score for Exam A

[tex]z=\frac{x_A-μ_A}{σ_A}[/tex]

​[tex]z=\frac{510-550}{40}[/tex]

​[tex]z=\frac{-40}{40}[/tex]

[tex]z=-1[/tex]

Addison scored 1 standard deviation below the mean.

Plug Z into formula for Exam B:

[tex]-1\frac{x_B-26}{5}[/tex]

[tex]-5=x_B-26[/tex]

[tex]21=x_B[/tex]

Addison would have to score 21 on Exam B

Answer: 336.80 miles, [tex]15.85^{\circ}[/tex] North of east

Step-by-step explanation:

Given

Plane lands at a point 324 miles east and 92 miles north

Distance is given by using Pythagoras theorem

[tex]\Rightarrow d=\sqrt{324^2+92^2}\\\\\Rightarrow d=\sqrt{113,440}\\\\\Rightarrow d=336.80\ \text{miles}[/tex]

Direction is given by using figure i.e.

[tex]\Rightarrow \tan \theta=\dfrac{92}{324}\\\\\Rightarrow \tan \theta=0.2839\\\\\Rightarrow \theta=15.85^{\circ}[/tex]

Direction is [tex]15.85^{\circ}[/tex] North of east

Answer:

x +(2x + 3) = 33

Step-by-step explanation:

two equations can be derived from the question

c = 3 + 2x equation 1

c + x = 33 equation 2

where :

c =  cappuccinos

x =  lattes

make c the subject of the formula in equation 2

c = 33 - x equation 3

equate 3 and 1

x +(2x + 3) = 33

Answer:

6

Step-by-step explanation:

A = 4 cm * 3 cm/2

A = 6 cm^2

Answer:

6

Step-by-step explanation:

Answer:

C f=9

Step-by-step explanation:

isolate f on one side so you subtract 5 from both sides to get 3f=27 and then divide by 3 on each side to get f=9

Answer:

The value of F is 9

Step-by-step explanation:

3f+5=32

3f=32-5

3f=27

f=27/3

f=9

B. [tex]2( \sqrt{x} + \sqrt{x - 2} )[/tex] ✅

Step-by-step explanation:

[tex] \frac{4}{ \sqrt{x} - \sqrt{x - 2} } \\\\ = \frac{4}{ \sqrt{x} - \sqrt{x - 2} } \times \frac{ \sqrt{x} + \sqrt{x - 2} }{ \sqrt{x} + \sqrt{x - 2} } \\ \\ = \frac{4( \sqrt{x}) + 4( \sqrt{x - 2} )}{( { \sqrt{x} )}^{2} - { (\sqrt{x - 2} })^{2} } \\ \\ [∵(a + b)(a - b) = {a}^{2} - {b}^{2} ] \\ \\ = \frac{4 \sqrt{x} + 4 \sqrt{x - 2} }{x - (x - 2)} \\ \\ = \frac{4 \sqrt{x} + 4 \sqrt{x - 2} }{x - x + 2} \\ \\ = \frac{4( \sqrt{x} + \sqrt{x - 2} ) }{ 2} \\ \\= 2( \sqrt{x} + \sqrt{x - 2} )[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

Answer:

x=12, 11

Answer:Its  the last one to the left up

Step-by-step explanation:

Answer:

78.5 square feet

option b

Step-by-step explanation:

area = pi*r^2

a = 3.14*5^2

a = 3.14*25

a = 78.5

Answer:

67.5

Step-by-step explanation:

The sum of the interior angles is 540, therefore

540 = 90 + 4y

540 - 90 = 4y

450 = 4y

450 / 4 = y

112.5 = y

X and Y together equal 180, therefore

180 = x + 112.5

180 - 112.5 = x

67.5 = x

Answer:

ok so we know that it order 85 shirts for each of its 22 stores so we can multiply 22 by 85 which is 1870. so the company order 1870 shirts and they pay 20$ for each so we can multiply 1870 by 20 which is 37400. so top shoppe pays 37400 for the shirts.

A=37400

B=I don't know what the order was so i dont know

C= also there is nothing about the size of the shirts

D=1870

so the most important variable is probity A but there could be an argument made about the importance of D.

Your Welcome

BIFFY OUT!!!

Answer:

Step-by-step explanation:

p=8 cm

one side=8/4=2 cm

edge of black square=2/4=1/2 cm=0.5 cm

area of one square=(0.5)²=0.25 cm²

total area of two black squares=2×0.25=0.5 cm²

length of white rectangle=2/2=1 cm

width=2/4=1/2 cm=0.5 cm

area of one rectangle=1×0.5=0.5 cm²

area of two rectangles=2×0.5=1 cm²

total area=0.5+1=1.5 cm ²

Answer:

y = 2/5x - 4

Step-by-step explanation:

y = mx+b  where m is the slope and b is the y intercept

y = 2/5x - 4

Answer:

Step-by-step explanation:

answer below

Answer: 4/15

Step-by-step explanation: Total Cars to be produced in three Shifts = 210

Fraction of total cars to be produced in First Shift = 2/5

Fraction of total cars to be produced in second Shift = 1/3

Summation of all the fractions of total cars to be produced in all the three shifts should be equal to 1

Hence, fraction of total cars to be produced in third Shift = 1- (2/5) - (1/3)

= ( 15 - 6 - 5)/15 ( taking LCM of 5&3)

= 4/15

Answer:

10

Step-by-step explanation:

<3

6(f+4) + 2(f+4)

Use the distributive property:

6f+24 + 2f + 8

Now combine like terms:

8f +32

The answer is 8f + 32

Answer:

8 f + 32

Step-by-step explanation:

6 ( f + 4 ) + 2 ( f + 4 )

Distribute

6 × f + 6 × 4 + 2 × f + 2 × 8

6 f + 24 + 2f + 8

Collect like terms

6 f + 2 f + 24 + 8

Add the numbers

8 f + 32

Answer:

y=1.24

Step-by-step explanation:

cross multiply 21=17y

divide, y=21/17

Answer:

35 cm

Step-by-step explanation:

A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs

Characteristics of a trapezoid

It has 4 vertices and edges

If both pairs of its opposite sides of a trapezoid are parallel, it becomes a parallelogram

Area of a trapezoid =   x (sum of the lengths of the parallel sides) x height

h = 147x2 / (5.3 + 3.1) = 35cm

Answer: The value of [tex]\angle B[/tex] is [tex]30^o[/tex], the length of BC and AC is 28 units and 25 units respectively.

Step-by-step explanation:

To calculate the value of each part of the triangle, we use:

1) Angle sum property

2) Law of sines

Starting with 1:

Calculating [tex]\angle B[/tex] by angle sum property:

[tex]\angle A+\angle B+\angle C=180^o\\\\34^o+\angle B+116^o=180^o\\\\\angle B=(180^o-116^o-34^o)=30^o[/tex]

Applying 2:

The Law of sines relates the length of the side with the sines of the angle opposite to it.

[tex]\frac{\sin 34^o}{BC}=\frac{\sin 116^o}{45}\\\\BC=\frac{\sin 34^o\times 45}{\sin 116^o}\\\\BC=28units[/tex]

Similarly,

[tex]\frac{\sin 30^o}{AC}=\frac{\sin 116^o}{45}\\\\AC=\frac{\sin 30^o\times 45}{\sin 116^o}\\\\AC=25units[/tex]

Hence, the value of [tex]\angle B[/tex] is [tex]30^o[/tex], the length of BC and AC is 28 units and 25 units respectively.

Answer:

[tex]6^{-5}[/tex]

Step-by-step explanation:

lmk if its right :)

Answer:

a

Step-by-step explanation:

follow the proportions

Answer:

A

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

Answer:

mate im just here for the b coins

mate im just here for the b coins

mate im just here for the b coins

mate im just here for the b coins

mate im just here for the b coins

mate im just here for the b coins

vmate im just here for the b coins

Step-by-step explanation:

mate im just here for the b coins

mate im just here for the b coins

mate im just here for the b coins

mate im just here for the b coins

Answer:

3,2

Step-by-step explanation:

Answer:

(3,1)

Step-by-step explanation:

If you moved two units left you would be at (3,2) the move one down you would be at (3,1)

Answer:

C)

E)

F)

D)

Step-by-step explanation:

These are all questions and answer that can be graphed, are represented on a data display. For example, the number of tomatoes on each plant can vary, and get changes through time. This is a statistical question.

Note:

Pls notify me if my answer is incorrect for the other users that will see this response. Thank you.

-kiniwih426

Answer:

false negatives - 2%

false positives - 3%

Step-by-step explanation:

Here is the complete question :

A test to detect an infection gives a positive result 98% of the time when an infection is present. It is 97% accurate when an infection is not present.

% of results will be false negatives, and % of results will be false positives.

False negative means a negative result which in actuality it is positive

False negative = 100% - percent of positive result

100% - 98% = 2%

False positive result means a positive result which in actuality is negative

False positive = 100% - percent of false positive

100 - 97 = 3%

Answer:

There is no common difference

Step-by-step explanation:

     4      9      13      18

diff     5      4       5

Because the difference between 9 and 13 is 4

and the difference in the other terms is 5

there is no common differeence

Answer:

5cm

Step-by-step explanation:

Since the pencil would only fit diagonally, the diameter would have to be half its length. The pencil is 10 centimeters long and 5 centimeters would be half of it.

Note:

Pls notify me if my answer is incorrect for the other users that will see this message. Thank you.

-kiniwih426