The speed (S) an object falls varies directly with time. If the speed is 49.0 m/s after 5 seconds, then what is the speed after 3 seconds?

S= 16.3 m/s
S=29.4 m/s
S= 3.3 m/s
S= 81.6 m/s

Answer: x= 6 +/- root of 7

Step-by-step explanation:

1. Expand the left hand side: e.g, 3^2 = 3×3 =9

(x-6)(x-6) = 7

2. Multiply the brackets first by "separating" one of them, and take 7 to the left hand side:

x(x-6) - 6(x-6) =7

x^2 - 6x -6x +36-7=0

Simplify by adding like terms

x^2 -12x +29=0

3.Now your equation is in the form ax^2+bx + c =0, it means you can use the quadratic formula which is x= [-b +/- root of (b^2 - 4ac)]÷ 2a

Then SUBSTITUTE where:

a=1

b= -12

c=29

Therefore, x should be 6+ root of 7 OR 6- root of 7

Answer:

uhhhh okay thank you for removing my answer

Step-by-step explanation:

507 - 30 =  477

477 / 0.4 = 1192.5

1192.4 / 8 = 149.0625 miles or 150 miles

i don't know if this is right cause the answer seems so absurd

Answer:

3x+ 7 =49

Step-by-step explanation:

49-7= 42

42 divided by 3 = 14

her daughter is 14 years old

I truly hope this helped, it makes sense to me. I wasn't sure whether or not you needed a more detailed equation, but that's one.

have a great day!

Answer:

9. Hypotenuse = √(19.1²+11.3²) = √492.5 = 22.2 m²

10. Area = (34×40)/2 + (17²×π/2)

= 680 + 453.96

= 1133.96 cm²

Answered by GAUTHMATH

Answer:

At 2

Step-by-step explanation:

I think it is because it slants down instead of going up. That is the reason why I say my answer is at 2.

HOPE THIS HELPED

Answer:

Approximately 17 stars

Answer:

Step-by-step explanation:

The central angle of a hexagon is 60 degrees. Drop a line from the center to the middle of the side marked 7.

Use the  tan of the angle so formed (which is 30 degrees)

Tan(30)= opposite / height (which is the line you just drew).

Tan(30) = 3.5 / h

Tan(30) = 0.5774

Tan(30) = 3.5 / h                multiply both sides by h

h*Tan(30) = 3.5                  Divide by tan30

h = 3.5 / Tan(30)

h = 3.5 / 0.5774

h = 6.062

Now from both ends of the given side, draw 2 lines to the center. Find the area of that triangle.

Area of 1 triangle = 1/2 * b * h

area of 1 triangle = 1/2 * 7 * 6.062

Area of 1 triangle = 21.2176

There are 6 such triangles so multiply that number by 6

Answer:  6 * 21.2176

Answer:  127.31

Answer:

3x + 11

Step-by-step explanation:

1) Remove Parentheses:

x + 4 + 2x + 7

2) Combine Like Terms:

(2x + x) and (4 + 7)

3) Simplify:

3x + 11

Hope this helps, good luck! Have a good day. :)

Answer:

0.85y

Step-by-step explanation:

Cost of the wrist watch = $y

Present percentage = 100%

Percentage Loss = 15%

Selling price = (Present percentage - Percentage Loss) * Cost of the wrist watch

= (100% - 15%) * y

= 85% * y

= 85/100 * y

= 0.85 * y

= 0.85y

Selling price = 0.85y

[tex]\\ \sf\longmapsto 2 \sqrt{75} - \sqrt{108} + 5 \sqrt{48} \\\\ \sf\longmapsto 2 \sqrt{25 \times 3} - \sqrt{36 \times 3} + 5 \sqrt{16 \times 3} \\ \\ \sf\longmapsto 2 \times 5 \sqrt{3} - 6 \sqrt{3} + 5 \times 4 \sqrt{3} \\ \\ \sf\longmapsto 10 \sqrt{3} - 6 \sqrt{3} + 20 \sqrt{3} \\ \\ \sf\longmapsto (10 - 6 + 20) \sqrt{3} \\ \\ \sf\longmapsto 24 \sqrt{3} [/tex]

Answer:

24aprtment3

Step-by-step explanation:

Answer:

y = -x+3

Step-by-step explanation:

Slope intercept form of a line is

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

y = -1x +b

Using the point for x and y we can calculate b

-2 = -1(5)+b

-2 = -5+b

Add 5 to each side

-2+5 = b

3 = b

y = -x+3

Answer:

X = 32, y = 16

Step-by-step explanation:

Cos 30 = (16√3) ÷ x

x = (16√3) ÷ cos 30

x = 32

Sin 30 = y ÷ 32

y = 32 sin 30

y = 16

Answer:

c

Step-by-step explanation:

Profit = 4.5 (240)-1080 = 0

the maximum profit would occur when u sell all 350 tickets,

profit = 4.5(350)-1080 = 495 (not a nor b)

Answer:

The statement that is true is C

Answer:

(I don't have the complement sign of sets, so I've used "©" to denote compliment)

L.H.S.

(B-A)∪C

= (B∩A©)∪C

= (B∪C)∩(A©∪C)

= (B∪C)∩(A-C)©

= (B∪C)-(A-C) = R.H.S.

(Proved)

Answer:

Gloves = 11 pairs

Socks = 4 pairs

Step-by-step explanation:

Given that :

Time taken to knit pair of socks = 3 hours

Time taken to knit pair of gloves = 7 hours

Total time taken to knit 15 pairs of gloves and socks = 89 hours

Let :

number of socks = x and number of gloves = y

x + y = 15 - - - - (1)

3x + 7y = 89 - - - (2)

From (1):

x = 15 - y

Put x = 15 - y in (2)

3(15 - y) + 7y = 89

45 - 3y + 7y = 89

45 + 4y = 89

4y = 89 - 45

4y = 44

y = 44/4

y = 11

From :

x = 15 - y

x = 15 - 11

x = 4

Answer:

1 significant figure: 50,000 2 significant figures: 52,000 3 significant figures: 51,800

Step-by-step explanation:

FIrst, a significant figure is basically a non-zero digit (at least in your case). Basically, the 1 significant figure in your case would be to the nearest 10 thousand, which would be 50,000. Now, for 2 significant figures. This would be the nearest thousand, 52,000. Finally, 3 significant figures is to the nearest hundred, aka 51,800. Note: If you find a problem like this again 0 in between two digits that aren't 0 is a significant digit, aka the 0 in 51809. Hope this helped!

Answer:

Đáp án:

60km

Step-by-step explanation:

30 phút

=

1

2

giờ

Ô tô đi từ A đến B rồi từ B về A mất số thời gian là:

10

−

6

−

1

2

=

3

,

5

giờ (không tính thời gian nhận hàng)

Gọi độ dài quãng đường AB là

x

(km)

Ta có:

Thời gian đi từ A đến B là

x

40

(quãng đường chia vận tốc)

Thời gian đi từ B đến A là

x

30

Ta có phương trình:

x

40

+

x

30

=

3

,

5

⇔

x

=

60

(km)

Vậy quãng đường AB là 60km.

Answer:

24

Step-by-step explanation:

We need to find 60% of 40

60% * 40

.60 *40

24

He makes 24 shots

Step-by-step explanation:

60%/100%×40

60%/10%×4 (0 is cancelled)

6×4 (60 and 10 Cancelled)

24 Answer

Answer:

let f(m) = u

multipling both sides by 2

We have 2f(m)=m

therefore m=2

Answer:

The overall range is 20

Step-by-step explanation:

Given

The above dataset

Required

The overall range

Range is calculated as

[tex]Range = Highest - Lowest[/tex]

The highest of the dataset is 22, and it can be found in  Milkweed.

The lowest of the dataset is 2, and it can be found in  Daisy

So, the range is:

[tex]Range = 22 - 2[/tex]

[tex]Range = 20[/tex]

Answer:

96 dollars and 50 cents

Step-by-step explanation:

2x-y = 0

=============================================

Work Shown:

x = (1/2)y

2x = y ... multiply both sides by 2

2x-y = 0 ... subtract y from both sides

This is in standard form Ax+By = C, where A,B,C are integers. In this case, A = 2, B = -1, C = 0.

Answer:

5.3 cents

Step-by-step explanation:

85/16

because all 16 ounces cost 85 cents

Answer:

5.3 cents.

Step-by-step explanation:

Answer:

The father is 40 years old, and his daughter is 10 years old.

Step-by-step explanation:

Given that a father is four times the age of his daughter, and after 5 years, he would be 3 times of daughter's age, then further after 5 years, to determine how many times he would be of his daughter's age, the following calculation must be done:

F = 4D

F + 5 = 3D

F = 40

D = 10

40 + 5 = 3 x (10 + 5)

45 = 45

Therefore, the father is 40 years old, and his daughter is 10 years old.

Answer:

A = 96 inches ^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 ( b1+b2)h  where b1 and b2 are the bases and h is the height

A = 1/2( 14+10)*8

A = 1/2(24)*8

A = 12*8

A = 96 inches ^2

The area of trapezoid is given

A = 1/2 (b1+b2)h where b1 and b2 is base and h is height

A = 1/2 (14+10)*8

A = 1/2 (24)*8

A = 12 * 8

Answer:

a²-7ab+7b²-2

Step-by-step explanation:

3a²-5ab+7b²+3 - ( 2a²+2ab+5 ) = 3a²-5ab+7b²+3 - 2a²-2ab-5 = a²-7ab+7b²-2

Answer:

substitute for v, when v = -2.9

Step-by-step explanation:

[tex]-1.98=5.2v+13.1[/tex]

subtract 13.1 on both sides.

[tex]-15.08=5.2v[/tex]

divide by 5.2 to isolate v

[tex]\frac{-15.08}{5.2} = \frac{5.2v}{5.2}[/tex]

[tex]-2.9=v[/tex]

substitute for v

[tex]-1.98=5.2(-2.9)+13.1[/tex]

[tex]-1.98=-15.08+13.1[/tex]

[tex]-1.98=-1.98[/tex]

Answer:

540 is the answer

Step-by-step explanation:

hope u liked!