WILL GIVE BRAINLIEST!!!!!
A bacteria grows exponentially so that it doubles every 12 days. There are 500 bacteria initially. Write a function that models the number of bacteria after t days.

Note is is NOT doubling every day! Careful.

Find the number of bacteria after 60 days.

Enter only a number.

Answer:

-2/5, -1/2, -3/4

Step-by-step explanation:

You have to have the same denominator.

-10/20, -15/20, -8/20

Hope this helps!

Answer:

i know the top ones its 75, and 100

Step-by-step explanation:

The width of the rectangular walkway is 3 feet around.

The walkway has a uniform width around the rectangle.

Let the width of walkway be x

The total length of the garden and walkway will be (12+2x) feet

The total width of the walkway and garden would be (8+2x) feet

Area of the garden and the walkway together are 252 square

Let’s express this mathematically:

(8+2x)(12+2x) = 252

Let’s open the brackets;

96+ 16x+ 24x + 4x^2 = 252

4x^2 + 40x + 96 = 252

4x^2 + 40x + 96-252 = 0

4x^2 + 40x - 156 = 0

Let’s divide all through by 10. We have;

x^2 + 10x -39 = 0

X^2 +13x-3x-39 = 0

x(x + 13) -3(x+ 13) = 0

(x-3)(x + 13) = 0

x -3 = 0 or x + 13 = 0

x = 3 or -13

We ignore x = -13 since width cannot be negative in size

Therefore, the width of the rectangular walkway is 3 feet around.

To learn more about area refer here

https://brainly.com/question/25292087

#SPJ4

On solving the provided question we can say that  the equation of the line will be  y+11 = 0.

The slope of a line is how steeply it slopes from left to right. The slope of a line is determined by dividing its rise (vertical change) by its slope, which is its horizontal change. Regardless of whatever two locations on the line you pick, the slope of the line is always constant (it never changes).

To find the coordinates of two points on the line, choose two. Find the difference between these two locations' y-coordinates (gradients). Find the difference between these two places' x coordinates (runs). Divide the change in the y coordinate by the difference in the x coordinate (slope/history or slope).

Here,

slope, m= 0 as these are parallel line.

so the equation of the line will be

y-y1 = m(x-x1)

y+11 = 0

To know more about slope visit:
https://brainly.com/question/3605446

#SPJ1

Answer:

It would be plotted in between 5 and 6 but closer to 6.

Step-by-step explanation:

5 and 6 are multiples to perfect squares. EX: \(5^{2}\) and \(6^{2}\) are perfect squares.

To find out which is closer you must solve these exponents.

\(6^{2} = (6)(6) = 36\)    \(5^{2} = (5)(5) = 25\)

As you can see 36 is closer to 35

(The other person who answered just wanted points)

The random variable that has a distribution that can be approximated by a binomial distribution is the number of college-bound students among the 100 high school graduates who took the SAT test.

Since approximately 45% of all high school graduates took the test, we can assume that the probability of a high school graduate being college-bound and taking the test is 0.45. Therefore, the number of college-bound students among the 100 high school graduates who took the test follows a binomial distribution with parameters n=100 and p=0.45.
Your question involves the terms "college-bound students," "100 high school graduates," and "binomial distribution." In this scenario, the random variable that can be approximated by a binomial distribution is the number of high school graduates who took the SAT out of the randomly selected 100 high school graduates.
To explain further, a binomial distribution is used when there are a fixed number of trials (in this case, 100 high school graduates), with only two possible outcomes (either a graduate took the SAT or did not take the SAT), and each trial is independent with the same probability of success (45% in this case). The random variable of interest, the number of students who took the SAT, meets these criteria, and thus can be approximated by a binomial distribution.

Visit here to learn more about binomial distribution:

brainly.com/question/31197941

#SPJ11

Let's differentiate betweeen cos, sec and tan.

The cos, sec and tan are trigonometri functions

• cos

Cos is the short form for cosine.

The cosine of an angle can be said to be the complementary of the angle.

The complement of an angle is the angle subtracted from 90 degrees.

It can also be said to be the ratio of the side adjacent to an acute angle to the hypotenuse in rigt triangle.

• Sec.

Sec is the short form for Secant.

It is the reciprocal of cosine.

Given that cosine is the ratio of the adjacent to the hypotenuse, the secant will be the ratio of the hypotenuse to the adjacent.

• tan:

tan is the short form for tangent.

Tangent is the ratio of the side opposite the angle to the adjacent side in a right triangle.

Total number of straight lines are 45 and it can be found out using combination.

Combination:

In mathematics, a combination is a selection of elements from a set with different members, so the order of selection does not matter (unlike permutations). For example, given his three fruits, such as apples, oranges, and pears, there are three binary combinations that can be drawn from this set. An apple and a pear. apples and oranges. Or pear and orange. More formally, a k-combination of a set S is a subset of the k distinct elements of S. Two combinations are identical only if each combination has the same members. (The order of the members of each set is not important.) If the set has n elements, there are k number of combinations, equal to the binomial coefficient.

Now,

Given:

Total points = 10

we need to find no three lie on the same straight line.

so , to find we can select 2 lines out of 10 and assume packing them together so  no 3 points lie on a line .

selection of 2 points out of 10.

C(10,2)  = ¹⁰C₂  

            = 10!/2!8!

            = 10*9/2

            = 45 lines.

Hence ,Total number of straight lines are 45 .

Learn more about Straight line:

https://brainly.com/question/29223887

#SPJ4

Answer:

11

Step-by-step explanation:

H =V/(LxW)/3

H = 297/(9x9)/3

H = 297/(81)/3

H = 297/27

H = 11

Therefore, the height of the pyramid is 11ft square

The distances between the surveyors are approximately a) Distance between Surveyor A and Surveyor B (AB): 1,615.13 feet. b) Distance between Surveyor B and Surveyor C (BC): 1,647.63 feet.

To find the distances between the surveyors, we can use the law of sines.

a) Distance between Surveyor A and Surveyor B (AB):

Using the law of sines, we have:

AB / sin(∠B) = AC / sin(∠A)

Given that AC = 1,359.2 feet, ∠B = 68°, and ∠A = 55°, we can solve for AB:

AB / sin(68°) = 1,359.2 / sin(55°)

AB = (1,359.2 * sin(68°)) / sin(55°)

Using a calculator, we find that AB ≈ 1,615.13 feet.

b) Distance between Surveyor B and Surveyor C (BC):

Again, using the law of sines:

BC / sin(∠C) = AC / sin(∠B)

Given that AC = 1,359.2 feet, ∠C = 57°, and ∠B = 68°, we can solve for BC:

BC / sin(57°) = 1,359.2 / sin(68°)

BC = (1,359.2 * sin(57°)) / sin(68°)

Using a calculator, we find that BC ≈ 1,647.63 feet.

The complete question is:

Three surveyors have placed themselves at three locations around the edge of a canyon, measuring the angles between them. Surveyor A and Surveyor C are 1,359.2 feet apart.

surveyor B 68°

surveyor A 55°

surveyor C  57°

a) What is the distance between Surveyor A and Surveyor B?

b) Surveyor B and Surveyor C?

To learn more about Distance click:

brainly.com/question/15172156

#SPJ4

Answer:

\(x=0\) and \(x=4\)

Step-by-step explanation:

The roots of a function (also known as "x-intercepts" or "zeroes") are defined where y=0. Therefore, we will solve the quadratic:

\(2x^2-8x=0\)

\(2x(x-4)=0\)

\(x=0\) and \(x=4\)

Step-by-step explanation:

In total there is 6 cups of soup.

So lets put that in /8 form

48/8 and do the same to the other 27/8

So when you see it takes 27/8 for one you know she can only do one full serving.

21/8 is what's left

So 2 5/8 is left

She is 6/8 off of one more serving

I'm sorry this is all I can do. I hope you can use this info to answer

Step-by-step explanation:

may nag answer na paano na yan

Answer:

Equation of Perpendicular Line: 4x-3y=22

Equation of parallel line:3x+4y+4=

The total number of samples will be 1109 .

Given ,

Margin of error 0.02

Here,

According to the formula,

\(Z_{\alpha /2} \sqrt{pq/n}\)

Here,

p = proportions of scientist that are left handed

p = 0.09

n = number of sample to be taken

Substitute the values,

\(Z_{0.01} \sqrt{0.09 * 0.91/n} = 0.02\\ 2.33 \sqrt{0.09 * 0.91/n} = 0.02\\\\\\\)

n ≈1109

Thus the number of samples to be taken will be approximately 1109 .

Know more about proportions,

https://brainly.com/question/31548894

#SPJ4

Answer:

for This you have to find the value of x.

Step-by-step explanation:

just add both of them the equation formed will be

22x - 26 = 19x -17

so you can calculate x

which is x = 3

so put the value in 14x -15

so TU will be 27

if you have any doubt you can comment it.

thankyou .

Answer:

Hey there!

1 person can fix 1/3 of the road in 5 hours.

1 person can fix 1/15 of the road in 1 hour.

4 people can fix the road in 15/4, or 3.75 hours.

This is equal to 225 minutes.

Let me know if this helps :)

3 people - 5 h

4 people - x h

\(4\cdot x=3\cdot 5\\4x=15\\\\x=\dfrac{15}{4}=3,75\)

3.75 h

Answer:

8 5/18

Step-by-step explanation:

3 5/6 + 4 4/9

Get a common denominator of 18

3 5/6*3/3 = 3 15/18

4 4/9 * 2/2 = 4 8/18

3 15/18 + 4 8/18

7 23/18

7 + 18/18 + 5/18

7+1+5/18

8 5/18

Answer:

\(8\frac{5}{18}\)

Step-by-step explanation:

\(3\frac{5}{6} +4\frac{4}{9}\)

6 = 2 × 3

9 = 3 × 3

LCM of 6 and 9

LCM = 2 × 3 × 3

LCM = 18

\(3\frac{15}{18} +4\frac{8}{18}\)

\((3+4)+(\frac{15}{18} +\frac{8}{18})\)

\(7+\frac{15+8}{18}\)

\(7+\frac{23}{18}\)

\(7+1\frac{5}{18}\)

\(8\frac{5}{18}\)

Answer:

put 3/5 for (a)

Step-by-step explanation:

The trigonometric expression that represents the value of x is sin⁻¹(3/5), which is equal to 36.87°.

Trigonometric expressions are ratios of the sides of a right triangle.

In the question, we are asked to write the trigonometric expression expressing the value of x.

We know that in the given right triangle,

sin x = 3/5 {∵ sin θ = perpendicular/hypotenuse}

Therefore, we can write x = sin ⁻¹ (3/5).

or, x = 36.87°.

Thus, the trigonometric expression that represents the value of x is sin⁻¹(3/5), which is equal to 36.87°.

Learn more about trigonometric expressions at

https://brainly.com/question/11967894

#SPJ2

114.52 is the answer

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

Answer:

16.125 is the perimeter

Step-by-step explanation:

Multiply 15.375 × 3 because a triangle has three sides and is equilateral.

15.375 × 3 = 16.125

Have a great day!

It is false as the left and right ends of the normal probability distribution extend indefinitely, approaching but never touching the horizontal axis.

The statement is false because the left and right ends of the normal probability distribution do not extend indefinitely. In reality, the normal distribution is defined over the entire real number line, meaning it extends infinitely in both the positive and negative directions. However, as the values move further away from the mean (the center of the distribution), the probability density decreases. This means that although the distribution approaches but never touches the horizontal axis at its tails, the probability of observing values extremely far away from the mean becomes extremely low. Thus, while the distribution theoretically extends infinitely, the practical probability of observing values far from the mean decreases rapidly.

To know more about normal probability distribution,

https://brainly.com/question/33601330

#SPJ11

Complete Question

En una piscina con forma rectangular mide 10 metros de largo y 4 metros de

ancho y se sabe que para llenar la piscina se necesitan 100 000 litros de agua.

a) ¿Cuál es el volumen de la piscina?

b) ¿Cuál es la profundidad de la piscina?

Answer:

a) ¿Cuál es el volumen de la piscina?

= 100 m³

b) ¿Cuál es la profundidad de la piscina?

= 2.5m

Step-by-step explanation:

a) Se nos da la cantidad de litros de agua necesarios para llenar la piscina = 100000 litros

Conversión a cm³

1 litro = 0.001 m³

100000 litros = x

x = 100000 × 0.001 m³

x = 100 m³

b) La profundidad de la piscina se calcula como:

Volumen de la piscina ÷ (Largo × Alto)

Longitud = 10 m

Altura = 4 m

Por eso,

100 m³ ÷ (10 m × 4 m)

100 m³ ÷ 40 m²

= 2.5 m

Respuesta:

a) 1000m³

b) 25m

Explicación paso a paso:

Pregunta completa;

Piscina de forma rectangular, mide 10 metros de largo por 4 metros de alto.

de ancho y se sabe que se necesitan 100.000 litros de agua para llenar la piscina.

a) ¿Cuál es el volumen de la piscina?

b) ¿Cuál es la profundidad de la piscina?

Dado que 1m³ = 1000litros

x = 100.000 litros

Cruz multiplicar

100.000 * 1 = 1000x

100.000 = 100x

x = 100.000 / 100

x = 1000

Por lo tanto, el volumen de la piscina es de 1000 m³.

Voume = largo * ancho * profundidad

1000 = 10 * 4 * d

1000 = 40 días

d = 1000/40

d = 25

Por lo tanto, el tanque tiene 25 m de profundidad.

The first law of thermodynamics is a fundamental principle in physics that states energy cannot be created or destroyed, only converted from one form to another. It can be expressed in terms of heat and work through the equation:

ΔU = q - w

where ΔU represents the change in internal energy of a system, q represents the heat added to the system, and w represents the work done on or by the system.

Now, let's address when the quantities q and w would be negative numbers.

1) When q is negative: This occurs when heat is removed from the system, indicating an energy loss. For example, when a substance is cooled, heat is extracted from it, resulting in a negative value for q.

2) When w is negative: This occurs when work is done on the system, decreasing its energy. For instance, when compressing a gas, work is done on it, leading to a negative value for w.

In both cases, the negative sign indicates a reduction in energy or the transfer of energy from the system to its surroundings.

In summary, the first law of thermodynamics can be expressed as ΔU = q - w, and q and w can be negative numbers when energy is lost from the system through the removal of heat or when work is done on the system.

know more about first law of thermodynamics states.

https://brainly.com/question/31275352

#SPJ11

The volume V of solid S is e - 1 cubic unit.

What is Volume?

Volume refers to the measure of three-dimensional space occupied by an object or a region. It quantifies the amount of space enclosed by the boundaries of an object or contained within a given region. In mathematical terms, volume is often calculated by integrating the cross-sectional areas of the object or region along a particular axis. Volume is typically expressed in cubic units, such as cubic meters (m^3) or cubic centimeters (cm^3). It is an essential concept in geometry, physics, engineering, and other scientific fields where the measurement of three-dimensional space is involved.

To find the volume of solid S, we need to integrate the areas of the cross sections perpendicular to the x-axis along the interval \([e, \infty).\)

The area of each square cross-section is equal to the square of the side length, which in this case is \(y = \sqrt{\ln(x)}.\)

Therefore, the volume V of solid S can be calculated as:

\(V = \int_{e}^{\infty} (\sqrt{\ln(x)})^2 dx\)

To evaluate this integral, we can simplify the expression:

\(V = \int_{e}^{\infty} \ln(x) dx\)

Using integration by parts, we let \(u = \ln(x)\)and dv = dx:

\(du = \frac{1}{x} dx\\v = x\)

Applying the integration by parts formula:

\(V = [uv] - \int v du= [x \ln(x)] - \int x \left(\frac{1}{x}\right) dx= x \ln(x) - \int dx= x \ln(x) - x + C\)

Evaluating the definite integral:

\(V = [x \ln(x) - x]_{e}^{\infty}= (\infty \cdot \ln(\infty) - \infty) - (e \cdot \ln(e) - e)= \infty - 0 - (1 - e)= e - 1\)

Therefore, the volume V of solid S is e - 1 cubic unit.

To learn more about volume:

https://brainly.in/question/17575802

#SPJ4

Info given

We have a total of people given (82). We also know that we have 54 children of under 12 years and under some children were under 3 years

We define x as the number of children under 3 years.

We want to find C for the total cost. We don't have the unitary prices but we can assume it as C1 (over 3 and lower than 12) and C2(adults) for children and adults.

Solution:

With C the total amount collected and C1 and C2 described above.