Find the area of the green triangle

At the end of the third year the population of beetles will be 11,576beetles

The standard form of an exponential function is given as:

y = ab^t

Given the following parameters

initial population 'a" = 10,000 beetles

Time = 3 years

rate b = 1.05

Substitute into the formula

y = 10,000(1.05)^3

y = 10,000(1.1576)
y = 11,576 beetles

Hence at the end of the third year the population of beetles will be 11,576beetles

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Answer:

[tex]t^{3}[/tex]

Step-by-step explanation:

cubed means to the power of 3

The number of cubic centimeters that are in the volume of the cone is 12.5π cm³ OR 39.27 cm³

From the question, we are to determine the volume of the cone

The volume of a cone can be calculated by using the formula,

[tex]V = \frac{1}{3} \pi r^{2} h[/tex]

Where V is the volume

r is the radius

and h is the height

From the given information,

radius, r = 2.5 cm

slant height, l = 6.5 cm

First, we will determine the height of the cone

By Pythagoras' theorem

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

Where [tex]l[/tex] is the slant height

r is the radius

and h is the height of the cone

Then, we can write that

[tex]6.5^{2} = 2.5^{2} + h^{2}[/tex]

[tex]42.25 = 6.25 + h^{2}[/tex]

[tex]h^{2}=42.25 - 6.25[/tex]

[tex]h^{2} =36[/tex]

[tex]h = \sqrt{36}[/tex]

∴ h = 6 cm

Now, putting the parameters into the equation for the determining the volume of a cone, we get

[tex]V = \frac{1}{3}\times \pi \times 2.5^{2} \times 6[/tex]

[tex]V = \pi \times 6.25\times 2[/tex]

[tex]V = 12.5 \pi[/tex] cm³ OR 39.27 cm³

Hence, the number of cubic centimeters that are in the volume of the cone is 12.5π cm³ OR 39.27 cm³

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Answer:

Cos 0 = 15/17

Step-by-step explanation:

.................................................

Answer:

[tex]a^{4}-2a^{2} -24[/tex]

Step-by-step explanation:

We do FOIL to solve this

Answer:

638.29

Step-by-step explanation:

This is the answer because 29 percent of 899 is somewhere around 260.71

Substract that and you get 638.29

Answer:

3.6%

Step-by-step explanation:

This is an example of dependent events. When events are dependent, you have to multiply the probability of each event that happens after each other. Probability is desired outcome over all possible outcomes. For the milk chocolate, there are 5 pieces we can pick out of 16, so it's 5/16. Next, the probability of dark chocolate is 3/15 (There is one less piece of chocolate overall now). For the white chocolate, the possibility is 8/14. So now we have to multiply:

5*3*8             120           1

______   =  _____  =  ___ = (about) 0.036

16*15*14        3360        28

So, that's 3.6%

Hope this helps!

Answer:

First question (on left) f(x) = 5x-3. second question (on right) f)x) = 1/2*x

Step-by-step explanation:

rise(left) 4. run (left) 20.

rise(right) 8. run(right) 4.

Answer:

Make use of the fact that as long as [tex]\sin(\theta) \ne 0[/tex] and [tex]\cos(\theta) \ne 0[/tex]:

[tex]\displaystyle \tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)}[/tex].

[tex]\displaystyle \csc(\theta) = \frac{1}{\sin(\theta)}[/tex].

[tex]\sin^{2}(\theta) + \cos^{2}(\theta) = 1[/tex].

Step-by-step explanation:

Assume that [tex]\sin(\theta) \ne 0[/tex] and [tex]\cos(\theta) \ne 0[/tex].

Make use of the fact that [tex]\tan(\theta) = (\sin(\theta)) / (\cos(\theta))[/tex] and [tex]\csc(\theta) = (1) / (\sin(\theta))[/tex] to rewrite the given expression as a combination of [tex]\sin(\theta)[/tex] and [tex]\cos(\theta)[/tex].

[tex]\begin{aligned}& \csc^{2}(\theta) \, \tan^{2}(\theta) - 1\\ =\; & \left(\frac{1}{\sin(\theta)}\right)^{2} \, \left(\frac{\sin(\theta)}{\cos(\theta)}\right)^{2} - 1 \\ =\; & \frac{\sin^{2}(\theta)}{\sin^{2}(\theta)\, \cos^{2}(\theta)} - 1\\ =\; & \frac{1}{\cos^{2}(\theta)} - 1\end{aligned}[/tex].

Since [tex]\cos(\theta) \ne 0[/tex]:

[tex]\displaystyle 1 = \frac{\cos^{2}(\theta)}{\cos^{2}(\theta)}[/tex].

Substitute this equality into the expression:

[tex]\begin{aligned}& \csc^{2}(\theta) \, \tan^{2}(\theta) - 1\\ =\; & \cdots\\ =\; & \frac{1}{\cos^{2}(\theta)} - 1 \\ =\; & \frac{1}{\cos^{2}(\theta)} - \frac{\cos^{2}(\theta)}{\cos^{2}(\theta)} \\ =\; & \frac{1 - \cos^{2}(\theta)}{\cos^{2}(\theta)}\end{aligned}[/tex].

By the Pythagorean identity, [tex]\sin^{2}(\theta) + \cos^{2}(\theta) = 1[/tex]. Rearrange this identity to obtain:

[tex]\sin^{2}(\theta) = 1 - \cos^{2}(\theta)[/tex].

Substitute this equality into the expression:

[tex]\begin{aligned}& \csc^{2}(\theta) \, \tan^{2}(\theta) - 1\\ =\; & \cdots \\ =\; & \frac{1 - \cos^{2}(\theta)}{\cos^{2}(\theta)} \\ =\; & \frac{\sin^{2}(\theta)}{\cos^{2}(\theta)}\end{aligned}[/tex].

Again, make use of the fact that [tex]\tan(\theta) = (\sin(\theta)) / (\cos(\theta))[/tex] to obtain the desired result:

[tex]\begin{aligned}& \csc^{2}(\theta) \, \tan^{2}(\theta) - 1\\ =\; & \cdots \\ =\; & \frac{\sin^{2}(\theta)}{\cos^{2}(\theta)}\\ =\; & \left(\frac{\sin(\theta)}{\cos(\theta)}\right)^{2} \\ =\; & \tan^{2}(\theta)\end{aligned}[/tex].

Answer:

Write properties of function:

x intercept/zero: [tex]x_{1} =-1;x_{2} =7[/tex]

Step-by-step explanation:

x² - 6x - 7 = x² - 7x + x - 7

⇒ x(x - 7) + 1(x - 7)

⇒ (x + 1) (x - 7)

Thus, x³ - 5x² - 13x - 7 = (x + 1)(x + 1)(x - 7)

[tex]~~~~~~~~x^3 -5x^2 -13x -7=0\\\\\implies x^3 +x^2 -6x^2 -6x-7x-7=0\\\\\implies x^2(x+1) -6x(x+1) -7(x+1)=0\\\\\implies (x+1)(x^2 -6x -7) = 0\\\\\implies (x+1)(x^2 +x -7x-7)=0\\\\\implies (x+1) [x(x+1) -7(x+1)]=0\\\\\implies (x+1)(x+1)(x-7) = 0\\\\\implies (x+1)^2 (x-7) = 0\\\\\implies x = -1,~ x = 7\\\\\text{Hence, the roots are}~ -1~ \text{and}~ 7[/tex]

Answer:

12 inches.

Step-by-step explanation:

You have to use the pythagorean formula. The measurements you stated form a right angle. Therefore, a^2 + b^2 = c^2. In this equation, we know c=13, and b=5. So therefore c^2 - b^2 = 144. We have to solve for a, so square root 144 to get 12.

Answer:12 in

Step-by-step explanation:

Wrong answer sorry. Hope you find it!

Answer:

-5 5/6

Step-by-step explanation:

convert 2/3 into 4/6 and when u subtract a positive from a negative u add it instead  

Answer:

[tex]f(2)=\frac{7}{4}[/tex]

Step-by-step explanation:

Step 1:  Input 2 for x and solve

[tex]f(x) = \frac{2x + 7 - x^2}{4}[/tex]

[tex]f(2) = \frac{2(2) + 7 - (2)^2}{4}[/tex]

[tex]f(2)=\frac{4+7-4}{4}[/tex]

[tex]f(2)=\frac{7}{4}[/tex]

Answer: [tex]f(2)=\frac{7}{4}[/tex]

The rate of change of the linear function whose graph passes through points (-5, -2) and (-2, 6) is: 2.7.

The rate of change of a linear function is given as change in y over change in x.

Given the points:

(-5, -2) and (-2, 6)

Change in y = 6 -(-2) = 8 units

Change in x = -2 -(-5) = 3 units

Rate of change = 8/3 = 2.7.

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Step-by-step explanation:

i just answered this.

the average change rate is the change of the functional result in a given interval relative (= divided by) to the length of the interval of the input variable.

in short

( f (interval upper limit) - f (interval lower limit) ) /

(interval upper limit) - (interval lower limit)

upper limit = 0

lower limit = -2

the functional values (y) are 6 and 10 at these points.

so, we get

(6 - 10) / (0 - -2) = -4 / 2 = -2

Answer:

you did not even show the answer

Step-by-step explanation:

you have to post it lol;)

Travis cuts 125 whole 2/5 inches wide strip if the percent of error was 10% the actual length of the strips he needs to cut was 114 inches

It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.

We have:

The length Travis needs to cut = 114 inches

Percent of error = 10%

Let's assume he cuts x inches wide strip

So from the percent of error formula:

[tex]\rm \dfrac{x-114}{114} = \dfrac{10}{100}[/tex]

[tex]\rm x = \dfrac{114}{10}+114[/tex]

[tex]\rm x = \dfrac{1254}{10}\Rightarrow \dfrac {627}{5}[/tex]  or

[tex]\rm x = 125\dfrac{2}{5} \ inches[/tex]  

Thus, Travis cuts 125 whole 2/5 inches wide strip if the percent of error was 10% the actual length of the strips he needs to cut was 114 inches

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Answer:

it’s 1 3/8 I don’t know what dude it’s talking about

Step-by-step explanation:

Answer:

D. 60 ft²

Step-by-step explanation:

Area formula :

Solving :

Answer:

D. 60 ft2

Step-by-step explanation:

Area of a parrelleogram:

bxh

base x hieght

The base is 10ft, the height is 6 ft

(it cannot be 8ft because that line is slanted)

10x6=60ft2

Answer:

$36.3 

Step-by-step explanation:

The total cost of the Green coffee beans is $7.25.

Total cost (TC) is the minimum cost of producing some quantity of output. This is the total economic cost of production and is made up of variable cost, which varies according to the quantity of a good produced and includes inputs such as labor and raw materials, plus fixed cost.

Here, Green coffee beans cost $0.58 for each ounce.

Amina and her mother buy 12.5 ounces of green coffee beans

Total cost = cost each ounce X Number of ounces

  TC = 12.5 X 0.58

  TC = $ 7.25

Thus, the total cost of the Green coffee beans is $7.25.

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Explanation:

The triangular face has area of base*height/2 = 4*10/2 = 40/2 = 20 square cm.

Multiply this prism base area by the depth of the prism to get 20*2 = 40 cubic cm.

It might help to place the triangular prism so the triangular face is along the ground, so you can think of that face as the floor of this triangular room. The volume of this room is equal to the floor area times the height of the room.

volume of the room = (floor area)*(height of the room)

volume of the prism = (base area)*(height of the prism)

For any prism, the base faces are always parallel and congruent to each other.

Answer:

x^2+5x-36-7/x

Step-by-step explanation:

assuming x^3 and 5x^2

A rectangular prism is a shape that has six faces which are rectangular.

Your information is incomplete as the diagram of the rectangular prism isn't given. Therefore, an overview will be given.

It should be noted that a rectangular prism simply means a three dimensional sold shape that has six faces that are rectangles.

The formula that's used to calculate the volume of a rectangular prism will be:

= Length × Width × Height

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Least Common Multiple = (x-3) (x+5) (x+4)

Step-by-step explanation:

First we solve for x² + x-12

=> x² + 4x - 3x - 12

=> x ( x+4 ) - 3 (x+4 )

=> (x-3) (x+4)

Now we will solve for x² + 2x - 15

=> x² + 5x - 3x - 15

=> (x-3) (x+5)

we see here (x-3) is common in both the equations so We write it only 1 time as we have to find least common multiple .

Ans. Lest common multiples are = (x-3) (x+5) and (x+4)

Answer:

Shade 10 of the pieces.

Step-by-step explanation:

Answer:

x-3+2x+3+2x = 5x

x+8+4x-3x-4 = 2x+4

4x+x-11-5X+25+4x = 4x+14

3x+5-2x-5x+9+8x = 4x+14

5+9x-7-4X-3x+6 = 2x+4

6x-9-5x+4-x+5x+5 = 5x

Step-by-step explanation:

Simplified by adding like terms

Answer:

I think the answer is b ill look into it a Lil more