The population of a mosquito population obeys the law of uninhibited growth.If there are 500 mosquito initially and there are 800 after 1 day. How long is it until there are 7000 mosquito?Round your answer to the nearest tenth.

Answer: Width = 4.7 meters, Length = 6.7 meters

Step-by-step explanation:

Let the width be [tex]w[/tex]. It follows that the length is [tex]w+2[/tex].

[tex]w(w+2)=32\\\\w^2+ 2w-32=0\\\\w=\frac{-2 \pm \sqrt{2^2 -4(1)(-32)}}{2(1)}\\\\w \approx 4.7 \text{ } (w > 0)\\\\\implies w+2 \approx 6.7[/tex]

We are asked to determine the volume of the cylinder. To do that we will use the following formula:

Where "r" is the radius and "h" is the height. Replacing the values:

Solving the operations:

Therefore, the volume is 502.4 cubic centimeters.

2.

slope: rise(precipitation) / run (time)

In the real world, the slope means the relationship between time and precipitation.

3. AS the time increases, the precipitation increases. Is a linear function.

4. The y-intercept (0,y) means the amount of precipitation when no time passed since tracking.

Both y-intercepts have the same meaning.

We are given an estimate equation.

Let the estimate sales volume be "s" and advertising expenditure be "a".

The given equation is:

The company has a target sales of 175,000, which is a value for "s".

To get how much they need to allocate for advertising, we can solve for "a" in the equation and substitute the "s" value with 175,000:

Now we substitute 175,000 into "s":

So, by the equation estimate, the sales manager should allocate $327,239 for advertising.

Answer:

13

Step-by-step explanation:

65 ÷ 13 = 5

39 ÷ 13 = 3

13 ÷ 13 = 1

(All can be divided by 13 so the GCF is 13)

At least 36.05 games should be played for the owner to make at least $75.

Let the number of games played = g

According to question,

Cost of each game = $7

Cost of g games = 7g

Prizes awarded to the winner costs the owner = $177.35

To make at least $75, the equation is

7g - 177.35 ≥ 75

7g ≥ 75 + 177.35

7g ≥ 252.35

 g ≥ 252.35 / 7

 g ≥ 36.05

Hence, at least 36.05 games should be played.

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the answer is below Learm!!!

Step-by-step explanation:

maybe if u learn in school u would get the answer bum

The width of the rectangle is equal to 3.42 meters

Let the width of the rectangle be represented by the variable x

thus from the question we can say that the length of the rectangle is 3 + x

Given is the area of the rectangle

we know that the area of the rectangle is Length × Breadth

Given area of the rectangle = 22 square meters

thus Area = Length × Breadth

On substituting the value we get

22 = ( 3 + x ) ( x )

x² + 3x = 22

x² + 3x - 22 = 0

b² - 4ac = 9 + 88 = 97

thus - b ± [tex]\sqrt{b^{2} -4ac}[/tex] / 2a

= - 3 ± 9.84 / 2

Thus the two values of x we will get are :

x= -12.84 / 2 = -6.42 which is rejected because width cant be negative

thus the value of x = 6.84 / 2 =3.42 meters

Thus we get values of x as

x =  3.42 meters

Thus the required width of the rectangle = 3.42 meters

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Answer:

<C=75.5⁰

Step-by-step explanation:

<C=<E

<C+<E+<D= 180⁰

<C+<E= 180⁰-29⁰

<C+<C= 151⁰

2<C= 151⁰

<C= 151⁰/2

<C= 75.5⁰

Answer:JEROME

Step-by-step explanation:

The area of the square is 8 square units.

According to the question,

We have the following information:

Points A and C are two opposite vertices of the ABCD square.

The coordinates of these points are A(3,2), C(7,2).

Now, we will use the distance formula to find AC:

d = [tex]\sqrt{(y2-y1)^{2}+ (x2-x1)^{2} }[/tex]

d = [tex]\sqrt{(2-2)^{2}+ (7-3)^{2} }[/tex]

d = [tex]\sqrt{4^{2} }[/tex]

d = 4 units

Now, when A and C are opposite vertices then AC is a diagonal.

Side of the square = diagonal/[tex]\sqrt{2}[/tex]

Side = 4/√2 units or 2√2 units

Formula to find the area of square:

Side*side

2√2*2√2

4*2

8 square units

Hence, the area of the square is 8 square units.

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The ratio of screamers to runners are 4:6 and 10:15.

Given,

the ratio of customers who screams and customers who run away is 2:3

Let

number of screamers be 'x'

number of runners be 'y'

To find number of screamers we can solve the ratio in proportion,

[tex]2:3::x:6\\\frac{2}{3}=\frac{x}{6}\\ \frac{2*6}{3}=x\\ 4=x[/tex]

Verify: [tex]4:6=2:3[/tex]

To find number of runners we can solve the ratio in proportion,

[tex]2:3::10:y\\\frac{2}{3}=\frac{10}{y}\\ {y}=\frac{3*10}{2}\\ y=15[/tex]

verify:[tex]10:15=2:3[/tex]

Hence, the ratio of screamers to runners are 4:6 and 10:15.

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Answer:

See the attached image for work.

1) The slope is 4.

2) The slope is 2.

Answer:

on the first one the rise is 20 and the run is 5. 5 divided by 20 is 4 so the slope is 4. I haven't answered the second one yet, sorry.

Answer:

10.5 miles per minute

Step-by-step explanation:

630/60=10.5

SOLUTION

By definition, adjacent angles are (of a pair of angles) formed on the same side of a straight line when intersected by another line.

Vertical Angles are the angles opposite each other when two lines cross.

Going by this above definition, a pair of adjacent angles in the figure in Q1 are:

4 and 2.

Going by this above definition, a pair of vertical angles in the figure in Q1 are:

3 and 2.

The rule for the translated function is:

g(x) = 3*(x + 10)^2 - 7

First, we know that for a function f(x) a horizontal translation of N units is written as:

g(x) = f(x + N)

If N > 0, the translation is to the left.

if N < 0, the translation is to the right.

A translation of 5 units to the left is written as:

g(x) = f(x + 5)

Replacing f(x) we get:

g(x) = 3*(x + 5 + 5)^2 - 7

g(x) = 3*(x + 10)^2 - 7

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Answer: 5.3

Step-by-step explanation:

[tex]-16t^2 +126t=217\\ \\ 16t^2 -126t+217=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(217)}}{2(16)}\\\\t \approx 5.3 \text{ } (t > 0)[/tex]

Explanation:

We can see that this is an isosceles triangle, because there are two sides that are 4 units long and the third side is 3 units long.

For isosceles triangles we have the following congruences:

Therefore angle x is congruent to the one that's 66º.

Then we have that the measures of the interior angles of any triangle add up 180º:

Answers:

• x = 66º

• y = 48º

EXPLANATION

Given the point (1,-6) and the slope 9 the equation in point-slope form is given by the following form:

Where m is the slope and (x_1,y_1)=(1,-6)

Replacing terms:

Applying the subtraction property:

Answer: 332.6667

Step-by-step explanation: trust

The ferris wheel cast a shadow of 42 meters Tall.

A man of height 2 meters cast a shadow of 3 meters . The height of the ferris wheel can be computed below

height of the ferris wheel = 28 meters

We will take an example of a rectangle with a scale factor of enlargement by 2.

For example, consider a rectangle with dimensions of 6 cm and 3 cm.

If we increase the scale factor for the initial rectangle by 2, both sides of the rectangle will be doubled. By raising the scale factor, we mean multiplying the present rectangle measurement by the supplied scale factor. We have multiplied the original rectangle measurement by 2 here.

The rectangle's length was originally 6 cm and its width was 3 cm.

After multiplying by two, the length is 12 cm and the width is 6 cm.

Thus, we took an example of a rectangle with a scale factor of enlargement by 2. We consider this for a better understanding.

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Answer:

Explanation:

There are two possible answers for a tue-false test:

True and False

It is given

We need to find the area of a rectangle. The area of a rectangle is given by:

The rectangular tiles that measure 1.5 feet by 0.8 feet. So the area of each tile is:

Therefore, the number of tiles will be the total area of the floor divided by the area of each tile:

Answer: Tic is either Toe's brother or sister.

Step-by-step explanation: There's really no explanation. It's just outside the box thinking.

A square pyramid and a square prism have the same length, width, and height. If the volume of the square prism is 900in3 , what is the volume of the square pyramid?

we know that

The volume of the square prism is equal to

where b is the length side of the square base and h is the height of the prism

The volume of the square pyramid is

Remember that

the volume of the square prism is 900in3

so

substitute in the formula of volume of the pyramid

Hence, the slope is [tex]-59[/tex] and the y-intercept is [tex]216[/tex].

What is the slope?

The slope or gradient of a line is a number that describes both the direction and the steepness of the line.

Here given that,

Javier has a balance of $[tex]216[/tex] on his game store gift card. He spends $[tex]59[/tex] on each game he buys from the store.

So, the equation is of the form

[tex]y=-59x+216[/tex]

But we know line of equation is

[tex]y=mx+c[/tex]

where [tex]m[/tex] is the slope and [tex]c[/tex] is the intercept.

i.e,

slope is [tex]-59[/tex]

[tex]y[/tex] int is [tex]216[/tex]

Hence, the slope is [tex]-59[/tex] and the y-intercept is [tex]216[/tex].

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x^2 - 5 this will be the equation formed.

An exponent is the number of times a number is multiplied by itself. For example, 2 to the third (written as 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of one is itself.

let the number be x

x^2 - 5 this will be the equation formed

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