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Sliva [168]
3 years ago
10

Find an equivalent fractions for each given fraction 70/10

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
6 0
7/1 is an equivalent fraction for 70/10
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A soccer player uses her head to hit a ball up in the air from a height of 2 meters with an initial vertical velocity of 5 meter
ozzi

Answer:

The ball will hit the ground in 1.33 s if no one touches it. The equation has 2 real solutions.

Step-by-step explanation:

The ball will hit the ground when its height is equal to 0 meters, therefore using this value in the expression and solving for "t" will give us the correct solutions.

h = -4.9*t^2 + 5*t + 2\\\\-4.9*t^2 + 5*t + 2 = 0\\\\t_{1,2} = \frac{-5 \pm \sqrt{5^2 - 4*(-4.9)*(2)}}{2*(-4.9)}\\\\t_{1,2} = \frac{-5 \pm \sqrt{64.2}}{-9.8}\\\\t_{1,2} =\frac{-5 \pm 8.0125}{-9.8}\\\\t_1 = \frac{-5 - 8.0125}{-9.8} = 1.33 \text{ s}\\\\t_2 = \frac{-5 + 8.0125}{-9.8} = -0.3 \text{ s}

The ball will hit the ground in 1.33 s if no one touches it. The equation has 2 real solutions.

8 0
3 years ago
Brainliest to correct answer
qwelly [4]

Answer:

  • y = 0.35x

Step-by-step explanation:

<u>Janet ⇒ 3 postcards ⇒ $1.05 </u>

  • Cost of postcard: 1.05/3 = $0.35

<u>Rosi ⇒ 5 postcards ⇒ $1.75 </u>

  • Cost of postcard: 1.75/5 = $0.35

<u>Tanya ⇒ 8 postcards ⇒ $2.80</u>

  • Cost of postcard: $2.80/8 = $0.35

<u>We see in all 3 cases cost of postcard is same, the cost and numbers are proportional and the relationship is:</u>

  • y = 0.35x

8 0
3 years ago
Read 2 more answers
Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by
11111nata11111 [884]

Answer:

The dimension of the open rectangular box is 8.216\times 4.216\times 1.392.

The volume of the box is 8.217 cubic inches.

Step-by-step explanation:

Given : The open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by cutting congruent squares from the corners and folding up the sides.

To find : The dimensions and the volume of the open rectangular box ?

Solution :

Let the height be 'x'.

The length of the box is '11-2x'.

The breadth of the box is '7-2x'.

The volume of the box is V=l\times b\times h

V=(11-2x)\times (7-2x)\times x

V=4x^3-36x^2+77x

Derivate w.r.t x,

V'(x)=4(3x^2)-2(36x)+77

V'(x)=12x^2-72x+77

The critical point when V'(x)=0

12x^2-72x+77=0

Solve by quadratic formula,

x=\frac{18+\sqrt{93}}{6},\frac{18-\sqrt{93}}{6}

x=4.607,1.392

Derivate again w.r.t x,

V''(x)=24x-72

Now, V''(4.607)=24(4.607)-72=38.568>0 (+ve)

V''(1.392)=24(1.392)-72=-38.592 (-ve)

So, there is maximum at x=1.392.

The length of the box is l=11-2x

l=11-2(1.392)=8.216

The breadth of the box is b=7-2x

b=7-2(1.392)=4.216

The height of the box is h=1.392.

The dimension of the open rectangular box is 8.216\times 4.216\times 1.392.

The volume of the box is V=l\times b\times h

V=8.216\times 4.216\times 1.392

V=48.217\ in.^3

The volume of the box is 8.217 cubic inches.

5 0
3 years ago
Kylie starts with $145 in her piggy bank. Each month she adds $20.
djverab [1.8K]

Kylie's first month collection, a1= $ 145

Second month collection , a2= $145+ 20

Third month collection, a3  = $145 +2*20

.

.

.

.

so for n months collection = an-1+20

We get an= 20 + an-1  and a1=145


4 0
4 years ago
Help please <br> help ..............................................
postnew [5]
Rs 9600 pls give Brainlyest
4 0
3 years ago
Read 2 more answers
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