31) Write the point-slope form of an equation of the line through the points (-4, 7) and (5, -3).
A. y−5=−109(x+3)
B. y−7=−109(x+4)
C. y+3=−109(x+5)
D. y+4=−109(x−7)

Answer:

Step-by-step explanation:

the integers are -8,-7,-6,-5,-4,-3,

Answer:

Equation is;

(D/8) + (D/4) = 1600

D = 4266.67 ft

Step-by-step explanation:

We are told that the bee flies at a rate of 8ft/sec directly to a flowerbed from its hive. Thus,

speed during this stage is; v1 = 8ft/sec

Time during this stage is; t1

The bee stays at the flower bed for 1200 seconds.

Thus, time at this stage is; t2 = 1200 s

It flies directly back to the hive at 4ft/sec.

Speed at this stage; v2 = 4 ft/s

Time at this stage; t3

We are told that it was away for a total of 2800 seconds.

Thus; t1 + t2 + t3 = 2800

Since t2 = 1200 s, then;

t1 + 1200 + t3 = 2800

t1 + t3 = 2800 - 1200

t1 + t3 = 1600

Now, during time t1, the speed was 8ft/sec, since distance is equal to speed × time, then we have;

D = 8t1

t1 = D/8

During time t3, the speed was 4ft/sec. Thus; D = 4t3

t3 = D/4

Thus,since t1 + t3 = 1600

Then;

(D/8) + (D/4) = 1600

Multiply through by 8 to get;

D + 2D = 1600 × 8

3D = 12800

D = 12800/3

D = 4266.67 ft

Step-by-step explanation:

Performance appraisal is the answer

Answer:

18225

Use the formula: .

A = final amount

P = initial amount invested

r = annual interest rate

t = time (in years)

Insert all values in appropriate places.

Simplify.

A=16200(1+(0.025)(6))

Answer:

£18,225

Step-by-step explanation:

2.5% of £16,200 = £405

10% of £16,200 = £1,620

5% of £16,200 = £810

5 years: 16,200 + 5 x 405 = £18,225

Answer:

5

Step-by-step explanation:

when dividing number by fractions,we can simply multiply the number by the reciprocal of the decimal

so,4÷1/5=4 ×(reciprocal of 1/5 )

A reciprocal of a number is the same no.written under 1 aka.1divided by that number which simply is flipping

numerator and denominator .

reciprocal of 1/5 is 5/1 =5

so 4÷1/5 = 4×5

so answer is 5

hope this is helpful

Answer:

I think it's my choice. ;-)))

Answer:

Step-by-step explanation:

Use the ratio to solve:

Cross multiply and solve for x:

The answer is $42.42

Here,

At the neighborhood grocery,

4.5 pounds of steak cost= $47.25

So,1 pounds of steak cost=[tex]\bold{\dfrac{47.25}{4.5}\$ }[/tex]

According to the question,

4.04 pounds of steak cost=

[tex]\bold{\dfrac{47.25}{4.5}×4.04 }[/tex]

[tex]\bold{\dfrac{\cancel{47.25}}{\cancel{4.5}}×4.04}[/tex]

[tex]\bold{ 10.5×4.04 }[/tex]

[tex]\bold{ 42.42 }[/tex]

so,

42.42$ would it cost to buy 4.04 pounds of steak.

Answer: It's the third one down

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

180-35-25=120

or

35+25=60

180-60=120

Answer:

BC = 200/7 ≈ 28.57

Step-by-step explanation:

Set up a proportion to solve for the missing side length.

BC/CD = FE/EG

BC/25 = 16/14

BC = 16/14 · 25

BC = 200/7 ≈ 28.57

Answer:

Step-by-step explanation:

21 bro

Answer:19

Step-by-step explanation:

Answer:

part A: 17 weeks sorry if its wrong

part b: 120 hours sorry if its wrong

Step-by-step explanation:

Math

Answer:

y =2x

Step-by-step explanation:

Answer:

2x+5y=103

Step-by-step explanation:

x=price per box of grapefruit

y=price per box of oranges

Answer:

1. F(12)

2. F(m) = 2,500

3. F(v) ≥ 3,000

4. 0.9F(30)

Answer:

There are many answers to this one. Look at the step-by-step explanation.

Step-by-step explanation:

1. The top one (the amount, in dollars, raised by volunteers) matches with F(12).

2. The next one down (the amount, in dollars, raised by m volunteers is $2,500) matches with F(m) = 2,500.

3. The second to last one down (the amount, in dollars, raised by v volunteers is at least $3,000) matches with F(v) ≥ 3,000.

4. The very last one at that bottom (90 percent of the amount, in dollars, raised by 30 volunteers) matches with 0.9F(30).

Hope this helps! Please vote me as Brainliest. Let me know if you need more of an explanation. Hope it's not too late. Good luck with whatever you are doing! Have an amazing day!

Answer:

50/50

Step-by-step explanation:

Answer:

42.14

Step-by-step explanation:

First find the area of the square:

14x14=196

Then find the area of the circle:

It has a diameter of 14 so divide it by 2 to get the radius.

Then use the formula πr²

7²=49

49x3.14=153.86

Then subtract

196-153.86=42.14

The answer is 65

Step-by-step explanation:

all you had to do was divide

Answer:

y = |x| + 3

Step-by-step explanation:

The point moved up the y-axis positive 3 units.

Answer:

what?????????????????

Answer:

304

Step-by-step explanation: x/760 40/100=

760x40=30,400

30,400 divided by 100=304

Answer:

[tex]\dfrac{5^6}{5^2}[/tex] = [tex]5{\cdot}5{\cdot}5{\cdot}5[/tex]

Step-by-step explanation:

The given expression is :

[tex]\dfrac{5^6}{5^2}[/tex]

We need to find this expression is equal to what.

[tex]\dfrac{5^6}{5^2}=\dfrac{5^4\times 5^2}{5^2}\\\\=5^4\\\\=5\times 5\times 5\times 5\\\\\text{or}\\\\=5{\cdot}5{\cdot}5{\cdot}5[/tex]

Hence, [tex]\dfrac{5^6}{5^2}[/tex] is equal to [tex]5{\cdot}5{\cdot}5{\cdot}5[/tex]. Hence, the correct option is (c).

The factored form of the expression x² - 4x is,

⇒ x (x - 4)

We have to given that,

To find the factored form of the expression x² - 4x.

We can find the factored form as,

⇒ x² - 4x

Take x as common,

⇒ x (x - 4)

Therefore, The factored form of the expression x² - 4x is,

⇒ x (x - 4)

Learn more aboput the multiplication visit:

brainly.com/question/10873737

#SPJ6

Answer:

1/13

Step-by-step explanation:

y is proportional to x ⇒ y = kx

Plug in (26,2) and solve for k:

2 = k·26

k = 2/26 = 1/13

Answer:

The quadratic formula is derived from a quadratic equation in standard form when solving for x by completing the square. The steps involve creating a perfect square trinomial, isolating the trinomial, and taking the square root of both sides. The variable is then isolated to give the solutions to the equation.

(a) For some given x, A(x) gives the signed area under f(t) on the interval [a, x]. Since f(t) is simple to integrate, and with a = 2, you can compute it exactly:

A(x) = ∫₂ˣ f(t) dt

A(x) = ∫₂ˣ (3t + 2) dt

A(x) = (3/2 t ² + 2t ) |₂ˣ

A(x) = 3/2 x ² + 2x - 10

which is parabolic and easy to graph.

(b) Differentiating A(x) is also easy if you use the "closed" form above:

A'(x) = (3/2 x ² + 2x - 10)'

A'(x) = 3x + 2

and this function tells you how the area under f(t) changes as you adjust the size of the integration interval.

You can get the same result using the fundamental theorem of calculus:

A'(x) = d/dx ∫₂ˣ f(t) dt = f(x) = 3x + 2