Suppose the depth of a lake can be described by the function y = 323(0.976)x, where x represents the number of weeks from today. Today, the depth of the lake is 323 ft. What will the depth be in 6 weeks? Round your answer to the nearest whole number. The depth of the lake will be ft. in 6 weeks

Answer:

Hope this helps!

Step-by-step explanation:

Area = π · r2 = 3.14 · 2.62 = 21.24 square inches.

Answer:

[tex] { ({x}^{3}) }^{3} = {x}^{n} [/tex]

[tex] {x}^{27} = {x}^{n} [/tex]

[tex]n = 27[/tex]

Answer:

[tex]10\sqrt{2}[/tex]

Step-by-step explanation:

so lets do triangle NML

its a 30 60 triangle so it has a rule (image)

line NL is 2x5 = 10

Now we have that length for triangle NLK

now triangle NLK is a 45 45 triangle what also has a rule (image)

Now using the rule 10[tex]\sqrt{2}[/tex]

Answer:

p=133.866667

Step-by-step explanation:

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

0.75p=0.4+100

Step 1: Simplify both sides of the equation.

0.75p=0.4+100

0.75p=(0.4+100)(Combine Like Terms)

0.75p=100.4

0.75p=100.4

Step 2: Divide both sides by 0.75.

0.75p/0.75 = 100.4/0.75

p=133.866667

Answer:

p=133.866667

285.7

Step-by-step explanation: trust me bro, no really trust me

Answer:

9 in.

Step-by-step explanation:

Area = L x H

3 x 3 = 9

Answer:

9 in²

Step-by-step explanation:

A=l^2 so A=3^2 so area= 9 in²

because squares area is in in²

Answer:

24

Step-by-step explanation:

√(16 * 36) =

√576 =

24

Answer:

6x^6

Step-by-step explanation:

I got it correct om edg

Answer:

10.16 cm.................

....

Answer:

8 - 12 + 6x

-4 + 6x

or

6x - 4

Step-by-step explanation:

Step-by-step explanation:

Given that,

Distance covered by a trucker, d = 500 miles

Average speed of the trucker, v = 600 mph

A trucker drove 500 miles in h hours. We need to write the linear equation used to find the number of hours that the trucker drove. Average speed is given by :

[tex]v=\dfrac{d}{t}[/tex]

t is time in hours

[tex]t=\dfrac{d}{v}\\\\t=\dfrac{500\ miles}{60\ mph}[/tex]

If t is h hours,

[tex]h=\dfrac{500\ miles}{60\ mph}\\\\500=60h[/tex]

On solving, h = 5 hours.

Hence, this is the required solution.

98 - 0.17(98)

98 - 16.66

81.34

The stock is now worth $81.34.

Hope this helps!! :)

Answer:

Intersections

It has the highest number out of the four options given

Answer:

34/69

Step-by-step explanation:

2 are jelly-filled

5 are lemon-filled

17 are custard-filled

Total: 24

First drawing:

There are 24 donuts in total, 17 of which are custard filled.

p1(custard filled) = 17/24

Second drawing:

There are now a total of 23 donuts, 16 of which are custard filled.

p2(custard) = 16/23

The two drawings are independent events, so the overall probability is the product of the individual probabilities.

Overall probability of drawing two custard filled donuts:

p(2 custard filled) = p1 * p2 = 17/24 * 16/23 = 17/3 * 2/23 = 34/69

Answer:

Risk transfer is a risk management and control strategy that involves the contractual shifting of a pure risk from one party to another. One example is the purchase of an insurance policy, by which a specified risk of loss is passed from the policyholder to the insurer.

Step-by-step explanation:

hope this helps!

Given:

The radius of given fig = 2.2 unit

The height of the cylindrical part = 8.7 unit

The slant height of the cone = 10.2 unit

To find the total surface area of the given figure.

Formula

The given figure consists of a cylinder and a cone.

So, the surface area of the fig

[tex]SA = \pi r l+2\pi r h+\pi r^{2}[/tex]

Where, r be the radius

h be the height

l be the slant height

Now,

Putting,

r=2.2, h = 8.7, l=10.2 and π=3.14 we get,

[tex]SA = (3.14)(2.2)(10.2)+2(3.14)(2.2)(8.7)+(3.14)(2.2^{2} )[/tex] sq unit

or, [tex]SA = 70.4616+120.1992+15.1976[/tex] sq unit

or, [tex]SA = 205.8584[/tex] sq unit

or, [tex]SA = 205.86[/tex] sq unit

Hence,

The total surface area of the given figure is 205.86 sq unit.

Answer:

y - 5 = 3(x - 4)

y - 5 = 3x - 12

y = 3x - 7

Step-by-step explanation:

Answer:

m = 5.33

Step-by-step explanation:

First we need to calculate angle N.

Sum of angles in a triangle is 180°

∠L + ∠M + ∠N = 180°

108°+25°+∠N = 180°

∠N = 180°-(108°+25°}

∠N = 180°-133°

∠N = 47°

Given side l = 12, to get m, we will use the sine rule.

l/sinL = m/sinM = n/sinN

12/sin108° = m/sin25°

m × sin108°= 12sin25°

m = 12sin25/sin108°

m = 5.071/0.951

m = 5.33

Answer: I think the table has the greater rate of change because to find the greater rate of change we have to find the rate of change for both function. So, for this we have to find two points for both and then using the slope formula we have to solve for it.

for the first one: (4,6)(6,9)

9-6/6-4

3/2

For the second function: (4,5)(5,10)

10-5/5-4

5/1

5

so as we see that 3/2 is not greater than 5 so the function 3 has the greater one.

I don't know how to solve the first one. I am sorry but hope this helps you!

Answer:

Explanation:

You can set a system of two equations.

1. Variables

2. Cost

          x + 0.5y = 220 ↔ equation (1)

3. There were 80 more pencils than pens

Then:

  pencils  =      80   +   pens

       ↓                               ↓

       y        =      80   +      x        ↔ equation (2)

4. Solve the system

i) Substitute the equation (2) into the equation (1):

ii) Solve

iii) Substitute x = 120 into the equation (2)

Solution: 120 pens and 200 pencils ← answer

Answer:

B: 4 inches

Step-by-step explanation:

I got it right on usatestprep!

Hope this helps!

From: Aug1e

Answer:

121

22/2 = 11

[tex]11^{2}[/tex] = 121

Answer:

  B.  14 quarts

Step-by-step explanation:

1 quart = 2 pints

1 gallon = 4 quarts = 8 pints

__

Chris's recipe in quarts is ...

  5 quarts cranberry juice

  1 1/2 gal = 6 quarts orange juice

  6 pints = 3 quarts pineapple juice

Then the total number of quarts of juice Chris is making is ...

  5 + 6 + 3 = 14 . . . quarts of punch

Answer:

18. D Similar

19.  D

20.  C 2/3

21. --1/3 (I can't see answer choices)

22.  D 36

23. D 20

24.  7 meters

Step-by-step explanation:

Answer:

Sales tax is calculated by multiplying the cost of a good or service by the appropriate sales tax rate The answer is B  (purchase price) (percent sales tax); then d. (purchase price) (percent sales tax). Hope it helps!:)

Answer:

B - 59 degrees

Step-by-step explanation:

In total there is 360 degrees, 131 + 170 = 301, 360 - 301 = 59

Answer:

B

Step-by-step explanation:

131+170=360

301=360

59

Answer:

3² and 4²

Step-by-step explanation:

Note

3² = 9 and 4² = 16

Thus 15 is between 3² and 4²

9 < 15 < 16

Answer:

120 ounces of milk for $3 is a better buy

Step-by-step explanation:

Divide the total number of ounces by the price to find the price per ounce:

120 ÷ 3 = 40 cents per ounce

600 ÷ 13 = 46.15 cents per ounce

Answer:

the slope is [tex]-\frac{1}{2}[/tex]

the y-intercept is [tex](0,-1.5)[/tex]

Step-by-step explanation:

(the website i used to graph it is called desmos)

After you graph the line, the y-intercept is the point on the line where it passes through the y-axis. On this line, that point is [tex](0,-1.5)[/tex]

To find the slope, an easy way would be to use "rise over run"

Find two points on the line and plug them into this equation: [tex]\frac{y_{1} -y_{2} }{x_{1} -x_{2} }[/tex], for this i used the points [tex](5,-4)[/tex] and [tex](7,-5)[/tex]

[tex]\frac{-4+5}{5-7} = -\frac{1}{2}[/tex]

so the slope is [tex]-\frac{1}{2}[/tex]

Given:

A composite shape consisting of three rectangles with different lengths and widths.

To find:

The area of the composite shape.

Solution:

To find the area of the composite shape we must add the areas of all the three rectangles.

The upper rectangle has a length of 8 inches and a width of 4 inches.

The area of a rectangle [tex]= (l)(w).[/tex]

The area of the upper rectangle [tex]=(8)(4)=32[/tex] in².

The middle rectangle has a length of [tex]8-4=4[/tex] inches and a width of [tex]10-4-1.5=4.5[/tex] inches.

The area of the middle rectangle [tex]=(4)(4.5) = 18[/tex] in².

The lower rectangle has a length of 8 inches and a width of 1.5 inches.

The area of the lower rectangle [tex]= (8)(1.5)=12[/tex] in².

The area of the composite shape [tex]= 32+18+12 = 62[/tex] in².

The composite shape has an area of 62 in² which is option 3.

Answer: you have to do 62

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

hope this helps for you today

Answer:

x=4

Step-by-step explanation:

4x-x=9+3

3x=12

x=4

Answer:

96

Step-by-step explanation:

The area of one side is 4 x 4 = 16

You need to find the area of all the sides then add them

16 x 6 sides = 96

Hope this helped