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4 years ago

An object with a mass of 2000 g accelerates 8.3 m/s² when an unknown force is applied to it. What is the amount of force?

Mathematics

1 answer:

DanielleElmas [232]4 years ago

5 0

Answer:

f=16,600

Step-by-step explanation:

force=mass time acceleration or f=ma

f=2000(8.3)

f=16600

hope this helps

please give me brainliest, it would help(✿◠‿◠)

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B. What is the radius of a ball that uses one-half of the amount of rubber coating used to cover the 16-inch ball? Write your an

liberstina [14]

Answer:

The radius, r₂, of the ball that uses one-half the amount of rubber coating used to cover the 16-inch ball is approximately 4.66 inches

Step-by-step explanation:

The dimension of the ball with known radius = 16-inch

The surface area of the ball with 16-inch radius = 4×π×r² = π·D² = π×16² = 804.24772 in.²

Given that the ball uses one-half the rubber material coating used to cover the 16-inch ball, we have the surface area of the ball = 804.24772 in.²/2 = 402.12386 in.²

The radius, r₂ of the new ball is found as follows;

402.12386 in.² = 4×π×r₂²

r₂² = 402.12386 in.² /(4×π) ≈ 32

r₂ = √32 = 4·√2 ≈ 4.66 inches

The radius, r₂, of the ball that uses one-half the amount of rubber coating used to cover the 16-inch ball ≈ 4.66 inches.

7 0

3 years ago

Bullco blends silicon and nitrogen to produce two types of fertilizers. Fertilizer 1 must be at least 40% nitrogen and sells for

leva [86]

Answer:

Maximize

z = 70(Xs1 + Xn1 ) + 40(Xs2 + Xn2 ) - 10 (Xs1 + Xs2 ) - 15(Xn1 + Xn2 )

Subject to the constraints

Xs1 + Xs2 ≤ 100

Xn1 + Xn2 ≤ 80

Xn1 ≥ 0.4 ( Xs1 + Xn1 )

Xs2 ≥ 0.7 ( Xs2 + Xn2 )

All Variables ≥ 0

Step-by-step explanation:

Firstly lets consider Xs1 and Xs2 to be the number of pounds of silicon used in fertilizer1 and fertilizer2 respectively

Also let Xn1 and Xn2 be the number of pounds of nitrogen used in fertilizer1 and fertilizer2 respectively

We know that the objective is to maximize the profits of Bullco.

z = [(Selling price of fertilizer1) (Amount of silicon and nitrogen used to produce fertilizer1) + (Selling price of fertilizer2) (Amount of silicon and nitrogen used to produce fertilizer2) - (Cost of silicon) (Amount of silicon used to produce fertilizer I and 2) - (Cost of nitrogen) (Amount of nitrogen used to produce fertilizer I and 2)]

z = 70(Xs1 + Xn1 ) + 40(Xs2 + Xn2 ) - 10 (Xs1 + Xs2 ) - 15(Xn1 + Xn2 )

Now

Constraint 1; At most, 100 lb of silicon can be purchased

Amount of silicon used to produce fertilizer 1 and 2 ≤ 100

Xs1 + Xs2 ≤ 100

Constraint 2; At most, 80 lb of nitrogen can be purchased

Amount of nitrogen used to produce fertilizer 1 and 2 ≤ 80

Xn1 + Xn2 ≤ 80

Constraint 3; Fertilizer 1 must be at least 40% of nitrogen

Amount of nitrogen used to produce fertilizer 1 ≥ 40% (fertilizer 1)

Xn1 ≥ 0.4 ( Xs1 + Xn1 )

Constraint 4; Fertilizer 2 must be at least 70% of silicon

Amount of silicon used to produce fertilizer 2 ≥ 70% (fertilizer 2)

Xs2 ≥ 0.7 ( Xs2 + Xn2 )

so the formulization of the given linear program is,

Maximize

z = 70(Xs1 + Xn1 ) + 40(Xs2 + Xn2 ) - 10 (Xs1 + Xs2 ) - 15(Xn1 + Xn2 )

Subject to the constraints

Xs1 + Xs2 ≤ 100

Xn1 + Xn2 ≤ 80

Xn1 ≥ 0.4 ( Xs1 + Xn1 )

Xs2 ≥ 0.7 ( Xs2 + Xn2 )

All Variables ≥ 0

8 0

3 years ago

What’s the solution to 4a-5<3a+2

Ksivusya [100]

Answer:

a<7

Step-by-step explanation:

Move all like terms to one side:

4a-3a<2+5

Simplify:

a<7

~Happy Holidays~ :)

6 0

4 years ago

Read 2 more answers

2x^2+3x=(2x-1)(x+1) Pls do explain

Serggg [28]

<h3>Answer:</h3>

$x=-\frac{1}{2}$

<h3>Step-by-step explanation:</h3>

You could solve this problem by either: Factoring or by using the Quadratic Formula.

SOLVING BY FACTORING STEPS

STEP 1: Move (2x−1)(x+1) to the left side of the equation by subtracting it from both sides.

$2x^2+3x-(2x-1)(x+1)=0$

STEP 2: Simplify 2x^2+3x−(2x−1)(x+1).

$2x+1=0$

STEP 3: Simplify each term.

$2x^2+3x-2x^2-x+1=0$

STEP 4: Simplify by adding terms.

$2x+1=0$

STEP 5: Subtract 1 from both sides of the equation.

$2x=-1$

STEP 6: Divide each term by 2 and simplify.

$x=-\frac{1}{2}$

SOLVE BY USING THE QUADRATIC FORMULA STEPS

STEP 1: Move all terms to the left side of the equation and simplify.

$2x+1=0$

STEP 2: Subtract 1 from both sides of the equation.

$2x=-1$

STEP 3: Divide each term by 2 and simplify.

$x=-\frac{1}{2}$

5 0

3 years ago

Read 2 more answers

4 (b - 3 ) = 6 steps in order from first to last

Amiraneli [1.4K]

Answer:

B= 9/2 Hope this helped <3

Step-by-step explanation:

Let's solve your equation step-by-step.

4(b−3)=6

Step 1: Simplify both sides of the equation.

4(b−3)=6

(4)(b)+(4)(−3)=6(Distribute)

4b+−12=6

4b−12=6

Step 2: Add 12 to both sides.

4b−12+12=6+12

4b=18

Step 3: Divide both sides by 4

8 0

4 years ago

Read 2 more answers