The number of trees in a forest follows the logistic growth function , where t is the time in years. According to the growth model, how many trees will there be after 50 years? A. 14,285 b. 18,092 c. 20,874 d. 21,386

Step-by-step explanation:

It means every cake needs 2 eggs and 1 cup of sugar

So first we will multiply 21 by 2 to get the number of eggs = 21 ×2 = 42

So answer is 21 cups and 42 eggs

Answer:

-7

Step-by-step explanation:

In y = mx + c,

m is the slope

m is the coefficient of x

in y = -7x,

m = -7

Answer:

x =1

Step-by-step explanation:

Solve the equation:

8 - 2x = -8x + 14

Collect like terms

8 - 14 = -8x + 2x

-6 = -6x

x = -6/-6

x = 1

Answer:

x=1

Step-by-step explanation:

i did the quiz

Answer:

The area of a circle is : π (Pi) times the Radius squared : A = π r 2 or, when you know the Diameter: A = (π /4) × D 2 or, when you know the Circumference: A = C 2 / 4 π

Answer:

[tex]1,43 m[/tex]

Step-by-step explanation:

1) Vamos reescrevê-la já que há dois termos do 1º grau e portanto, admite simplificação:

[tex]d(x)=\frac{-0,4x}{2}+1,6x+2\\d(x)=\left ( \frac{-0,4+3,2}{2} \right )x+2\\d(x)=\frac{2,8}{2}x+2\\d(x)=1,4x+2[/tex]

2) Agora, vamos fazer uma leitura mais atenta da função na qual d, indica "distância" e x

Considerando que José está em cima do muro, e jogou a boa a distância é calculada

[tex]0=1,4x+2\\x=\frac{-2}{1,4}\\x\approx -1.43\\[/tex]

Como distância é um valor absoluto, isto é não existem distâncias "negativas" então |-1,43|=1,43

3)

Answer: 30

Step-by-step explanation:

Answer:

30+55+100=185

Step-by-step explanation:

Answer:

(B)This is a perfect cube.

(D)The side length is 4.

(E)Taking the cube root of the volume will determine the side length.

Step-by-step explanation:

Given a cube with a volume of 64 cubic centimeters.

The following conclusions can be reached:

(B)This is a perfect cube.

64=4 X 4 X4

(D)The side length is 4.

Volume of a Cube =[tex]s^3[/tex]

4 X 4 X4 =64 cubic centimeters.

(E)Taking the cube root of the volume will determine the side length.

[tex]\sqrt[3]{64}=4 cm[/tex]

These are not valid conclusions.

(A)The expression [tex]s^2[/tex], where s represents the side length, was used to solve for the volume.

(C)The side length is 8.

Answers on edugenuity

B

D

E

Answer:

A

Step-by-step explanation:

Essentially, if we plug in any of the given choices into the function and we get 0, then that's our answer.

A) (-3)^2 + 2 * (-3) - 3 = 9 - 6 - 3 = 0  -  correct

B) (-1)^2 + 2 * (-1) - 3 = 1 - 2 - 3 = -4  -  incorrect

C) 0^2 + 2 * 0 - 3 = -3  -  incorrect

D) 2^2 + 2 * 2 - 3 = 4 + 4 - 3 = 5  -  incorrect

So, the answer is A.

The alternative, more "formal" way of doing this problem is to factor the quadratic: x^2 + 2x - 3 = (x + 3)(x - 1) = 0

Then set each of these equal to 0: x + 3 = 0 and x - 1 = 0

We get the values of x = -3 and x = 1. Only -3 is one of the answer choices, so A is correct.

Hope this helps!

Answer:

a) -3

Step-by-step explanation:

Zero of a function is the x-value where y = 0

x² + 2x - 3 = 0

x² + 3x - x - 3 = 0

x(x + 3) - (x + 3) = 0

(x - 1)(x + 3) = 0

x = 1, -3

Answer: x = 8

Step-by-step explanation: Solve for the equation x - 9 - 2x + 2 = 1.

Step 1: x - 9 - 2x + 2 = 1

Step 2: x + (-2x) - 9 + 2

Step 3: x - 7 = 1

Step 4: x - 7 + 7 = 1 +7

Step 5: x = 8

Answer:

Step-by-step explanation:

Step 1: List the known quantities and plan the problem.

Known

have 1 Banana (B)

4 Strawberries (St)

1 Yoghurt (Y)

3 Ice cubes (Ic)

Therefore, the equation for our smoothie is shown below:

B+4St+Y+3Ic→BSt4YIc3

Step 2: Conversion factor to show relationship between ice cubes and smoothie

3Ic = BSt4YIc3 (conversion factor)

Step 3: Number of strawberries required to make 12 smoothies

4St = BSt4YIc3 (conversion factor)

12BSt4YIc3 * (4St/BSt4YIc3) = 48St

Answer:

A ;w ;

Step-by-step explanation:

Did the assignment

Answer: (1) Leslie will need 2,380,525 square tiles (1 foot by 1 foot each)

(2) She will have to spend $1,785,393.75 to cover her patio.

Step-by-step explanation: Please refer to the picture attached.

The rectangular patio has been designed and as shown in the diagram has on side measuring 2135 ft and the other side measuring 1115 ft. This means, in order to cover the entire patio, she would have to cover an entire area defined as 2,135 feet into 1,115 feet. If one tile measures 1 foot long by 1 foot wide, the total number of tiles to cover the patio can simply be derived as;

Area = L x W

Where the length is 2135 and the width is 1115,

Area = 2135 x 1115

Area = 2380525

**Having in mind that one tile measures 1 ft by 1 ft, the area of each tile is given as

Area = L x W

Area = 1 x 1

Area = 1 square foot**

(1) The above calculation shows that Leslie would be using up a total of 2,380,525 square tiles to completely cover her patio.

(2) Having been told that each square foot of tile costs 75 cents ($0.75), the total amount spent to cover her patio would be calculated as follows;

Cost = Area x cost per tile

Cost = 2380525 x 0.75

Cost = 1785393.75

The total cost therefore is $1,785,393.75

Leslie needs [tex]\( 2380025 \)[/tex] square feet of tile, and it will cost her [tex]\( \$1785018.75 \)[/tex] to cover her patio.

1. Calculate the area of the patio:

  [tex]\[ \text{Area} = 2135 \times 1115 = 2380025 \text{ square feet} \][/tex]

2. Calculate the total cost of tiles:

[tex]\[ \text{Total cost} = 2380025 \text{ square feet} \times \$0.75/\text{sq ft} = \$1785018.75 \][/tex]

Therefore, Leslie needs [tex]\( 2380025 \)[/tex] square feet of tile, and it will cost her [tex]\( \$1785018.75 \)[/tex] to cover her patio.

Answer:

12/70

Step-by-step explanation:

expand brackets

16x-112 + 13 = 4x-27

16x - 99 = 4x-27

16x= 4x + 70

12x=70

x = 12/70

Answer:

8!

Step-by-step explanation:

find numbers for school bus and car by multiplying percentages in decimal form 40% turns into .40 and 30 into .30

0.4x80 and 0.3x80 = 32 and 24. 32-24=8

Answer: 8!

Step-by-step explanation:

Answer:

I believe it’s x but i’m not 100% sure. hope this helps :)

Step-by-step explanation:

Answer:

it’s x  hope this helps :)

Step-by-step explanation:

Answer:

After 12 days

Step-by-step explanation:

4×3

Answer:

x = 100

Step-by-step explanation:

The sum of the angles of a triangle are 180 degrees

x+ 42+ 38 = 180

Combine like terms

x + 80 = 180

Subtract 80 from each side

x+80-80 = 180-80

x = 100

Answer:

Easy!

Step-by-step explanation:

First, we have to know that:

The Sum of All Angles in a Triangle is 180 Degrees

(Self-explanatory, really)

This means that 42, 38, and x added together will equal 180 degrees, thus me set up our equation:

[tex]42+38+x=180\\x=100[/tex]

See? Simple.

Hope this helps!

FYI Remember that x= 100 Degrees

9514 1404 393

Answer:

  square pyramid

Step-by-step explanation:

The description fits that of a square pyramid.

Answer:

V = integral of [ 0.116e^(-2.3r) * 2πr (10^3) ] dr with upper limit of 5 and lower limit of 0. Unit in m^3.

Step-by-step explanation:

H(r) = 0.116e^(-2.3r)

H(r) = millimeters

r = kilometers

We'll use Riemann's sum to approximate the total area underneath the region of the integral.

Using Riemann's sum, we break the region into rings of radius r and width ∆r.

Area of rings = πr^2

Area of the rings with radius r and width ∆r, then becomes=

π(r+ ∆r)^2 - πr^2

On expanding:

Area = π[ r^2 + 2r∆r + (∆r)^2] - πr^2

= πr^2 + 2πr∆r + π(∆r)^2 - πr^2

= 2πr∆r + π(∆r)^2

Area = ∆r(2πr + π∆r)

Area/∆r = 2πr + π∆r

At lim ∆r tends to zero

Area/∆r = 2πr + 0 = 2πr

Area = 2πr∆r

Volume = Area * depth

= Area * H(r)

∆V approximately equal to:

2πr∆r * H(r)

Sum of the contribution for all the rings for the volume (total volume):

V approximately sum of [H(r) *2πr∆r]

V ≈ ∑H(r)· 2πr∆r.

Taking the limit as ∆r tends to zero,

V = integral of [ 0.116e^(-2.3r) * 2πr ] dr with upper limit of 5 and lower limit of 0.

The term H(r) and Area are not in the same unit. We would convert both to meters.

H(r) = mm = 10^(-3)m

Area = km^2 = km*km

= (10^3)m * (10^3)m = (10^6)m^2

V = integral of [(10^-3m) *  0.116e^(-2.3r) *2πr (10^6m^2) dr] with upper limit of 5 and lower limit of 0.

V = integral of [ 0.116e^(-2.3r) * 2πr (10^3) dr ] with upper limit of 5 and lower limit of 0. Unit in m^3.

Answer:

19

Step-by-step explanation:

Solve for the value of w.

3w - 4 = 8

Isolate the variable, w. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 4 to both sides:

3w - 4 (+4) = 8 (+4)

3w = 8 + 4

3w = 12

Divide 3 from both sides to fully isolate the variable, w:

(3w)/3 = (12)/3

w = 12/3

w = 4

Plug in 4 for w in the first expression & solve:

5w - 1

5(4) - 1

20 - 1

19

19 is your value.

~

Answer:

19

Step-by-step explanation:

First, we need to solve for w by isolating it

3w-4=8

Add 4 to both sides

3w=12

Divide both sides by 3

w=4

Now we know w and can plug 4 in for w and solve

5w-1

5(4)-1

20-1

19

The rental's total charge that includes insurance, represented by T(m), is the sum of the standard charge function C(m) and the insurance charge I, as in the equation T(m) = C(m) + I.

The question provided is incomplete as the functions for the standard charge and the insurance charge are not specified. However, assuming the functions are given by C(m) for the standard charge, where m is the number of miles driven, and I for the insurance charge, the total charge would be represented by the function T(m). The equation that relates the total charge to both the standard charge and the insurance charge would therefore be T(m) = C(m) + I. Simplifying the equation does not apply in this case as the individual functions are not provided for further manipulation.

Answer:

whoa this hard its almost liek you can use a calculator smh

Step-by-step explanation:

Answer:

178

Step-by-step explanation:

456 - 278 = 178

The sum of 13/20 and 0.72 when expressed in decimal form gives us the answer as; 1.37.

We want to find the sum of ¹³/₂₀ and 0.72

This is expressed as;

¹³/₂₀ + 0.72

Now, we want to express the fraction as a decimal. Thus, let us convert to decimal as; ¹³/₂₀ = 0.65

Thus, we now have the decimal expression;

0.65 + 0.72 = 1.37

Thus, we can conclude that the sum of 13/20 and 0.72 when expressed in decimal form gives us 1.37.

Read more about Fraction to decimal at; https://brainly.com/question/1284106

The sum of 13 / 20 and 0.72 when expressed in decimal form gives us the answer as; 1.37.

To find the sum of 13 / 20 and 0.72, we can first convert 13/20 to a decimal by dividing 13 by 20.

This is expressed as;

13 / 20 + 0.72

Now, we want to express the fraction as a decimal. Thus, let us convert to decimal as; 13 / 20 = 0.65

Thus, we now have the decimal expression;

0.65 + 0.72 = 1.37

Thus, we can conclude that the sum of 13 / 20 and 0.72 when expressed in decimal form gives us 1.37.

Learn more about Fraction to decimal here

brainly.com/question/1284106

#SPJ3

Answer:

20

Step-by-step explanation:

subtract 5 from 85 then divide by 4

85-5=80

80/4=20

Answer:

2x+2y=310

x-y=55

multiply seond equation by 2 and adding to first equation

2x-2y=110

add

2x-2y=110

2x+2y=310 +

4x+0y=420

4x=420

divide 4

x=105

sub

x-y=55

105-y=55

minuse 105

-y=-50

mult -1

y=50

the numbers are 105 and 50

Answer:

The Volume is decreasing at a rate of [tex]156\pi[/tex] [tex]cm^3[/tex] per minute.

Step-by-step explanation:

Given a cone of radius r and perpendicular height h

Volume of the cone, [tex]V=\frac{1}{3}\pi r^2 h[/tex]

Since the height of the cone is fixed, the rate of change of the volume of the Cone, [tex]\frac{dV}{dt}[/tex] is given as:

[tex]V=\frac{1}{3}\pi r^2 h \\\frac{dV}{dt}=\frac{h\pi}{3} \frac{d}{dt} r^2\\\frac{dV}{dt}=\frac{2rh\pi}{3} \frac{dr}{dt}[/tex]

We are to determine the rate of change of the Volume, V when:

The radius is decreasing at a rate of 2 cm per minute,  [tex]\frac{dr}{dt} = -2 cm/min[/tex]

Height, h=9 cm

Radius = 13cm

[tex]\frac{dV}{dt}=\frac{2rh\pi}{3} \frac{dr}{dt}\\=\frac{2*13*9\pi}{3}* ( -2)\\\frac{dV}{dt}=-156\pi \:cm^3/min[/tex]

The Volume is decreasing at a rate of [tex]156\pi[/tex] [tex]cm^3[/tex]  per minute.

Answer:

24 feet

Step-by-step explanation:

According to the question, Patricia needs 10 yards of fabric to make curtains for her bedroom she also needs 3 yards of fabric to make a cover for her storage bench

So, she needs 13 yards

converting into feet

1 yard = 3 feet

13 yards x 3 = 39 feet

Now, she already has  15 feet of fabric.

Finding out the difference : 39 - 15= 24 feet

Therefore, she needs 24 feet more of fabric

Answer:

She needs an additional 24 feet of fabric.

Step-by-step explanation:

In order to solve this problem we first need to calculate how many yards of fabric Patricia needs. This will be given by the sum of the fabric needed for the curtains and the fabric required to cover the storage bench. As seen bellow:

required fabric = 10 + 3 = 13 yards

We need to convert this value to feets, so the units are the same. To do that we multiply by 3.

required fabric = 13*3 = 39 feet

To know how many more fabric she needs we have to subtract the required fabric for the task by the total she already has. This is shown bellow:

needed fabric = 39 - 15 = 24 feet

She needs an additional 24 feet of fabric.

Answer:

The answer is around 190°

Step-by-step explanation:

You use A= (central angle/ 360) x πr²

Substitute the values you have and solve:

59.66 yd² = [tex]\frac{x}{360}[/tex] x π x (6)²

59.66 yd² = [tex]\frac{x}{360}[/tex] x π x 36

Solve for x and you get 189.9036781 ≈ 190°

Answer:

around 190°

Step-by-step explanation:

Answer:

43.96

Step-by-step explanation:

you get pi which is 3.14 times 7 and then times 2

Answer:

43.98 inches

Step-by-step explanation:

The circumference of a circle can be found using:

[tex]c=2r\pi[/tex]

We know r, or the radius is 7, so we can substitute that in

[tex]c=2*7(\pi )[/tex]

[tex]c=14\pi[/tex]

c=43.9822972

or, about

43.98 inches

Answer:

19.8% is the percent error of the baker's prediction.

Step-by-step explanation:

We are given the following in the question:

Total number of cupcakes sold in 1 day = 101

Predicted number of cupcakes sold = 81

We have to find the percent error of the baker's prediction.

Percentage error =

[tex]=\dfrac{\text{Actual value - Predicted value}}{\text{Actual values}}\times 100\%[/tex]

Putting values, we get

[tex]=\dfrac{101-81}{101}\times 100\%\\\\=19.8\%[/tex]

Thus, 19.8% is the percent error of the baker's prediction.