Simplify : 5c + 3 – 12c – 8

In the next 10 years there will be 398 racoons in the state park

The annual increase in the population size is defined as a sum of differences: the difference between births less deaths and the difference between immigrants less emigrants, in a given country, territory or geographic area at a given year.

Using the formula

p(t) = p(o) e^ kt

k = 3.5/100 = 0.035

t = 10 years

p(t) = 280 e^ 0.035 ×10

p(t) = 280e^0.35

p(t) = 280 × 1.42

p(t) = 398( nearest whole number)

therefore be after 10 years there will be 398 racoons in the state park.

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Therefore , the solution of the given problem of volume comes out to be a)   \(\int\limits^{2\pi }_0 \int\limits^a_0\) \(e^{-r^{2}\)(r) drdθ  , b) V = π ( 1- \(e^{-a^{2} }\) ) and   \(\lim_{a \to \infty} V\) = π .

the amount of space something occupies in three dimensions. Consider how much water might be present. known also as capacity .

The volume = area * height in this instance is equal to 200 units (10 x 4 x 5). 3 Volume units consist of:• Metric units: liters, cubic centimeters (cm3), and cubic meters (m3)

• US Standard: ounces, pints, gallons, cubic inches, and cubic feet

Here,

Given : z=e−x^2−y^2

and  x^2+y^2≤a2 where a>0.

Thus ,

volume  = \(\int\limits\int\limits\) \(e^{-x^{2} -y^{2} }\) dxdy

=>  \(\int\limits^{2\pi }_0 \int\limits^a_0\) \(e^{-r^{2}\)(r) drdθ

and

b)  volume    =  \(\int\limits^{2\pi }_0 \int\limits^a_0\) \(e^{-r^{2}\)(r) drdθ

let \(r^{2}\) = t

2rdr =dt

rdr = 1/2 dt

then,

V = 2π * 1/2 * \(\left \{ {{a^{2} } \atop {0}} \right.\) - \(e^{-t}\)

=> V = π * - \(e^{-a^{2} }\) + \(e^{0}\)

=> V = π ( 1- \(e^{-a^{2} }\) )

c) \(\lim_{a \to \infty} V\) = >    \(\lim_{a \to \infty}\)(π ( 1- \(e^{-a^{2} }\) ))

=>  π ( 1- \(e^{-\infty }\) )

=> π ( 1- 1/ \(e^{\infty }\) )

= > π ( 1- 0 )

=>   \(\lim_{a \to \infty} V\) = π

Therefore , the solution of the given problem of volume comes out to be a)   \(\int\limits^{2\pi }_0 \int\limits^a_0\) \(e^{-r^{2}\)(r) drdθ  , b) V = π ( 1- \(e^{-a^{2} }\) ) and   \(\lim_{a \to \infty} V\) = π .

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Answer:

-9.16666666667

Step-by-step explanation:

there

Answer:-9.16666666667

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

detailed explanation showed in the diagram above

Answer:

-1854

hope this helps<3

Answer:

see below

Step-by-step explanation:

second one

fourth one

To convert 2 ml to tsp, divide 2 by 5, which would give you 0.40 tsp.

To convert between milliliters and teaspoons, you can use the conversion factor of 1 tsp = 5 ml.

"ml" stands for milliliters, and "tsp" stands for teaspoons. These are both units of measurement for volume, which is the amount of space that an object takes up. 2 milliliters is equal to 0.40 teaspoons. So, to convert 2 ml to tsp, you would divide 2 by 5, which would give you 0.40 tsp. It's important to note that these conversions can be useful in various situations, such as cooking or measuring medication. It's also worth noting that when converting measurements, it's important to be precise and use accurate conversion factors to ensure that your final result is accurate.

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Answer:

121

Step-by-step explanation:

5x-54=3x+16

5x-3x=16+54

2x=70

x=35

-------

mAB= 5x-54= 5*35-54= 175-54= 121

Answer:

D. 6m

Step-by-step explanation:

Ap3x

The height of a cone with a diameter of 12 m whose volume is 226 m^3 is 6 m

The height of a cone is calculated using the formula:

h = 3V/πr 2

Where h = height of the cone

V = volume of the cone

r = Radius of the cone

But note that radius, r = diameter divided by 2

r = 12 ÷ 2 = 6m

Volume = 226 m^3

Substitute the values into the formula

h = 3 × 226 ÷ 3.14 × 6 × 6

h = 678 ÷ 113. 04

h = 6m

Therefore, the height of a cone with a diameter of 12 m whose volume is 226 m^3 is 6m

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Answer:

A

Step-by-step explanation:

\(P(B|A)=\frac{A ~and~B}{P(A)} \\0.5=\frac{P(A and B)}{0.6} \\P(A~and~B)=0.5 \times 0.6=0.30\)

Answer:

800

Step-by-step explanation:

Answer:

C.  800

Step-by-step explanation:

p = 1.50n - 500

700 = 1.50n - 500

1200 = 1.50n

n = 800

Based on the quantity equation, if y = 4,000, p = 3, and v = 4, then

m = $3,000.

The quantity equation states that changes in market price affect money supply. It is evaluated with the equation: MV = PT, where M is the money supply, V is the velocity of money, P is the average price level, and T is the volume of economic transactions.

Using quantity equation

MV = PT

M = PT/V

M = (4000 × 3) / 4

M = 12000/4

M = 3000

Therefore,

Based on the quantity equation, if y = 4,000, p = 3, and v = 4, then

m = $3,000.

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Answer:

5.35?

Step-by-step explanation:

use a calculator and check it

Answer: Let x be the number of points scored by each girl and y be the number of points scored by each boy.

We know that:

3x + 2y = 27 (the total number of points scored by the 3 girls and 2 boys)

3x - 2y = 15 (the difference between the number of points scored by the girls and the number of points scored by the boys)

We can use the second equation to find the value of one of the variables and substitute it into the first equation.

3x - 2y = 15

3x = 15 + 2y

Substitute this into the first equation:

(15 + 2y) + 2y = 27

2y = 12

y = 6

Now that we know that each boy scored 6 points, we can substitute that back into the second equation to find the number of points each girl scored:

3x - 2y = 15

3x - 2(6) = 15

3x = 27

x = 9

So each girl scored 9 points and each boy scored 6 points.

Step-by-step explanation:

On a team have 3 girls and 2 boys

Let say  each girl points scored=x

Let say  each boy points scored=y

Total scored by 3 girls and 2 boys =27

                                              3x +2y=27----------1

The difference between points of  3 girls and 2 boys =15

                                               3x-2y=15---------2

Solve equation 1 and 2

From 2nd equation

we can rewrite as :

                          3x=15+2y---------3

Submit 3rd equation in 1st equation.

             15+2y+2y=27

                          4y=27-15

                          4y=12

                            y=3

Therfore, each boy points scored=3

For find each girl scored points

Submit y=3 in 1st equation.

                     3x+2(3)=27

                              3x=27-6

                              3x=21

                                x=7

Therfore, each girl points scored=7

Therfore,number of points each boy scored by =3points

Therfore,number of points each girl scored by =7points

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If the function is discontinuous state the type of discontinuity option A. Discontinuous; Infinite

The problem asks us to determine the type of discontinuity of a given function. Before we can do that, we need to understand what a discontinuity is. A discontinuity is a point where the function fails to be continuous. In other words, the function has a "break" at that point.

There are three main types of discontinuities: infinite, removable, and jump.

The problem states that the function is discontinuous, so we know that it has at least one point of discontinuity.

We are given four choices for the type of discontinuity: infinite, removable, jump, or the function is continuous. Since the function is discontinuous, we can eliminate the last option.

Therefore, the correct option is (a).

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Answer:

7% per year

Step-by-step explanation:

The formula for Simple Interest rate is given as:

r = (1/t)(A/P - 1)

Where:

t = time in years = 9 years

P = Initial amount invested = $2300

A = Total amount after t years

= Interest + Principal

= $2300 + $1449

= $3749

r = (1/9) × ($3749/$2300 - 1)

r = 0.07

Converting r decimal to R a percentage

R = 0.07 * 100 = 7%/year

Answer:

1+1=2....................

1 + 1 = 2

If we have one apple and get another apple, then we now have 2 apples.

We can also do the reverse to confirm our answer:

1 = 2 - 1

1 = 1

Which is true.

It is also not a matter of easy or not, this may be easy for us but hard for a baby.

I hope this helps! :)

Answer: \(\frac{15}{64}\) or A

Step-by-step explanation:

Step-by-step explanation:

BBC sport football r madhava warrier the same the same the

Answer:

your answer will be option B) 5

Step-by-step explanation:

have a nice day!!

34% of the data in a normal distribution is more than 1 standard deviation above the mean.

In a normal distribution, about 68% of the data falls within one standard deviation above or below the mean. This means that roughly 34% of the data falls one standard deviation above the mean.

To be more precise, we can use the empirical rule or the 68-95-99.7 rule, which states that:

Approximately 68% of the data falls within one standard deviation of the mean.

Approximately 95% of the data falls within two standard deviations of the mean.

Approximately 99.7% of the data falls within three standard deviations of the mean.

Therefore, if we assume that the normal distribution is perfectly symmetrical, we can estimate that roughly 34% of the data falls more than one standard deviation above the mean.

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Answer:

C 10 in

Step-by-step explanation:

side of P is \(\sqrt{36}\) = 6

side of Q is \(\sqrt{64}\) = 8

for missing side use Pythagorean theorem

\(r^{2}\) = \(6^{2} + 8^{2}\)

r^{2} = 36 + 64

r^{2} = 100

r = 10 in

Answer:

34/40

Step-by-step explanation:

85/100 cross multiply x/40

100x/100=3400/100

x=3400/100

3400/100=34

x=34

Picture included

(Sorry about my handwriting)

Hope this helps!! :)

Stay safe and have a wonderful day/night!!!!!

Brainliest?!?!

For the given equation

a)The maximum height of the ball is 12 meters.

b)The horizontal distance of the ball from the kicker is 20 meters.

c)The ball travels approximately 32.85 meters horizontally.

An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides, the left-hand side (LHS) and the right-hand side (RHS), separated by an equal sign (=). The equation can contain variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. Solving an equation means finding the value(s) of the variable(s) that make the equation true.

a) The equation is in vertex form, where the maximum height is the y-coordinate of the vertex. We can see that the vertex is at (20, 12), so the maximum height of the ball is 12 meters.

b) The horizontal distance of the ball from the kicker when it reaches its maximum height is the x-coordinate of the vertex. In this case, the vertex is at (20, 12), so the horizontal distance of the ball from the kicker when it reaches its maximum height is 20 meters.

c) To find the distance the ball travels horizontally from when it is kicked until it hits the ground, we need to find the value of d when h(d) = 0. This is because the ball hits the ground when its height is 0. Setting h(d) = 0, we get:

0 = -0.025(d – 20)2 + 12

Solving for d, we get:

(d – 20)2 = 480

d – 20 = ±√480

d = 20 ± 4√30

Since the ball is kicked when it is on the ground, we only consider the positive value of d:

d = 20 + 4√30

Therefore, the ball travels approximately 32.85 meters horizontally from when it is kicked until it hits the ground.

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Answer:

0.76

Step-by-step explanation:

Since C= 0.24 input that into the equation

1 - 0.24 = 0.76

Options :

Iman has at least $12.

Iman has more than $12.

Iman has less than $12.

Iman has no more than $12

Answer:

Iman has at least $12.

Step-by-step explanation:

The inequality x ≥ 12 represents the amount of money, x that Iman has :

The inequality statement can be interpreted as ;

x greater than or equal to 12, since x represents the amount Iman has ;

The the amount of money Iman has is $12 or more

Could also be interpreted as, ; Iman has at least $12

value of variable x on the parallel line is 12.

In geometry, a co exterior angle is an angle that is formed outside of a geometric figure by extending one of its sides. More specifically, a co exterior angle is formed when a transversal intersects two parallel lines, and it is an angle that is located outside of the parallel lines and on the same side of the transversal as one of the angles formed by the intersection.

Given

m ║n

8x+6 and 9x-30 are co exterior angle

8x+6+9x-30=180°

17x-24=180°

x=12

hence, value of variable x on the parallel line is 12.

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Answer: A just got it on edge

Answer:

Step-by-step explanation:

ya know thats a hard question but i think its c

The equation of the line is y = (-1/5)x + 7.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

5y + x = 10

5y = -x + 10

y = (-1/5)x + 10  _____(1)

This is in the form of,

y = m(1)x + c

This means,

m(1) = (-1/5) ______(2)

The equation that is parallel to (1) can be assumed as a general equation as,

y = m(2)x + c _______(4)

Since (1) and (4) are parallel.

From (4) and (3)

m(1) = m(2)

So,

m(2) = (-1/5) _____(5)

And,

y-intercept = 7 _____(6)

Now,

From (4), (5) and (6)

y = (-1/5)x + 7

Thus,

The equation of the line is y = (-1/5)x + 7.

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