PLEASE HELP VERY IMPORTANT TEST WILL MARK BRAINLIST
1. Write the equation of the line in slope-intercept form that has a slope of 2 and a y-intercept of -4.

2. Write the equation of the line in point-slope form that has a slope of 2 and goes through the point (-1, -5).

3. Write the equation of the line in slope-intercept form of the statement where y represents how much candy Olivia has left over. Olivia has 40 candies and eats 2 candies per day.

Answer:

Its in my explanation

Step-by-step explanation:

The math is simple and it will only take a few seconds to figure out. Just take your desired millionaire age (when you want to have saved $1 million) and subtract your current age. So, if you want to reach $1 million at age 65 and you're currently 30, you have 35 years to save.

The age of Lisa and Myra now is 35 years old and 5 years old, respectively.

To determine how old each person now, use algebraic expression and equation.

Let x = current age of Lisa

y = current age of Myra

If the sum of Lisa's age and Myra's age is 40, then we can express it as:

x + y = 40

x = 40 - y

If in 10 years, Lisa will be 3 times as old as Myra, then we can express it as:

x + 10 = 3(y + 10)

x + 10 = 3y + 30

x - 3y = 20

Substitute the equation for x into the 2nd equation and solve for y.

x - 3y = 20

(40 - y) - 3y = 20

40 - 4y = 20

4y = 20

y = 5

Substitute the value of y into the equation for x and solve.

x = 40 - y

x = 40 - 5

x = 35

Therefore, Lisa is 35 years old while Myra is 5 years old.

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Answer:

31.5 m

Step-by-step explanation:

Let w represent the width of the pool.

Since the length is 15 m greater than the width, it can be represented by w + 15.

Use the perimeter formula, p = 2l + 2w. Plug in the perimeter, and w + 15 as l into the formula:

p = 2l + 2w

96 = 2(w + 15) + 2w

96 = 2w + 30 + 2w

96 = 4w + 30

66 = 4w

16.5 = w

So, the width of the pool is 16.5 m. Add 15 to this to find the length:

16.5 + 15

= 31.5

The length of the pool is 31.5 m

Let the width be w

Length = w + 15

Now

Perimeter = 2(l + w)

96 = 2(w + 15 + w)

96/2 = w + 15 + w

48 = 2w + 15

48 - 15 = 2w

33 = 2w

33/2 = w

16.5 = w

Then,

Length = w + 15

Length = 16.5 + 15

Length = 31.5 m

\( \\ \)

The standard deviation of both the data are the same which is 3.67 and adding the same constant c to each data value results in the standard deviation remaining the same.

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

We have a data set:

8, 16, 14, 8, 16

As we know the formula for standard deviation is:

\(\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}\)

Here σ is the standard deviation

xi is each value from the data set

X is the mean of the data set

n is the number of observation in data set.

X = (8+16+14+8+16)/5 = 12.4

n = 5

After calculating the standard deviation will be:

σ = 3.67

Add 8 to each data value to get the new data set 16, 24, 22, 16, 24.

New standard deviation:

σ(new) = 3.67

The standard deviation of both the data are same we can say the standard deviation does not change when we add a constant to each data value.

Adding the same constant c to each data value results in the standard deviation remaining the same.

Thus, the standard deviation of both the data are the same which is 3.67 and adding the same constant c to each data value results in the standard deviation remaining the same.

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The required probability that students able to correctly answer in exams is given by 0.01625.

Total number of list of problems received by class = 20

Number of problems student knows how to solve = 15

Number of problems student does not know how to solve = 5

Number of question upcoming in exams = 10

The number of ways to select 10 questions out of 15 is equal to,

¹⁵C₁₀

= ( 15! ) / ( 15 - 10 )!10!

= ( 15! ) / ( 5)!10!

= 3003

The probability that the student will be able to correctly answer all 10 questions on the exam is equal to,

= 3003/ ²⁰C₁₀

= 3003 / 184756

=0.01625

Therefore, the probability of selecting correct answers of all 10 questions is 0.01625.

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Answer:

Heres how to do it

(i know you arent using macbook)

Step-by-step explanation:

The answer must be standard

The interval for which the function constant is (10, 13).

A function is an expression that shows the relationship between the independent variable and the dependent variable.

The interval of a function is the set of all real numbers for which the function is defined and has a defined value.

To find the interval at which the function constant. By examining to the graph of the function, the interval at which the value of the function does not change will be the interval at which the function is constant.

This can easily be detected by looking at the horizontal portion of the curve (See the attached image). You will notice that from 10 to 13 (blue dash), the value of the function remain the same (i.e. 4).

Therefore, the interval for which the function constant is (10, 13).

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If each has 6 hours to spend baking, Katrina can produce 60 pizzas and 90 loaves of bread, while David can produce 48 pizzas and 96 loaves of bread.

To find out how many pizzas and loaves of bread each person can produce in 6 hours, we can multiply their hourly production rates by 6.
For Katrina:
In one hour, Katrina can produce 10 pizzas. So in 6 hours, she can produce 10 * 6 = 60 pizzas.
In one hour, Katrina can also produce 15 loaves of bread. So in 6 hours, she can produce 15 * 6 = 90 loaves of bread.
For David:
In one hour, David can produce 8 pizzas. So in 6 hours, he can produce 8 * 6 = 48 pizzas.
In one hour, David can also produce 16 loaves of bread. So in 6 hours, he can produce 16 * 6 = 96 loaves of bread.

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Step-by-step explanation:

\( \frac{dA}{dx} = 3 {(x - 1)}^{2} \\A = ∫3 {(x - 1)}^{2}dx \\ = ∫3 {x}^{2} - 6x + 3 \: dx \\ = \frac{3 {x}^{3} }{3} - \frac{6 {x}^{2} }{2} + 3x + c \\ = {x}^{3} - 3 {x}^{2} + 3 + c\)

Now substitute in A=10 and X=3, to find the value of c

\(10 = {3}^{3} - 3 {(3)}^{2} + 3(3) + c \\ c = 1\)

Hence,

\(A = {x}^{3} - 3 {x}^{2} + 3x + 1\)

Answer:

66 hours.

Step-by-step explanation:

6 cars x 34 hours per car = 204

6 cars x 23 hours per car= 138 hours

now subtract:

204 - 138 = 66

therefore, it took Theo 66 hours longer to wash all the cars last week than last week.

Answer:

It might be the the 1st or the 4th :)

Step-by-step explanation:

I HOPE IT HELPED!!!!

Use the exponential growth formula to find the initial size. The initial size of the bacteria culture was approximately 457.

To determine the initial size of the bacteria culture, we can use the exponential growth formula: \(N(t) = N_0 * (2^{(t/d)})\), where N(t) is the population at time t, N₀ is the initial population, t is the time elapsed, and d is the doubling period.

Given that N(15) = 800 and N(30) = 1700, we can set up two equations:

\(800 = N_0 * (2^{(15/d)})\\1700 = N_0 * (2^{(30/d)})\)

To solve these equations, we can take the ratio of the second equation to the first equation:

\(1700/800 = (2^{(30/d)}) / (2^{(15/d)})\)

Simplifying the equation, we have:

2.125 = 2^(30/d - 15/d)

Taking the logarithm of both sides, we get:

log₂(2.125) = 30/d - 15/d

Simplifying further, we have:

0.0833d = 15

Solving for d, we find that d ≈ 180 minutes.

Substituting d = 180 minutes into one of the original equations, we can solve for N₀:

\(800 = N_0 * (2^{(15/180)})\)

Simplifying, we find that N₀ ≈ 457.

Therefore, the initial size of the bacteria culture was approximately 457.

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The complete question is:

The count in a bacteria culture was 800 after 15 minutes and 1700 after 30 minutes. Assuming the count grows exponentially, what was the initial size of the culture?  

Answer:

600 + 40 + 8 + .2 + .09 + .007 = 648.297

SSS congruence rules states that if three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.

The SSS (Side-Side-Side) congruence rule states that if three sides of one triangle are equal to the three sides of another triangle, equal, and the two triangles share the same dimensions then the two triangles are congruent. This means that all of the angles and sides of the two triangles are In order for two triangles to be congruent according to the SSS congruence rule, the lengths of the three corresponding sides of the two triangles must be equal. If all three of these conditions are met, then the two triangles are congruent and can be used to solve a variety of geometric problems.

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The SSS congruence rule is rule that is used to prove two triangles congruent . Its full form is Side-Side-Side Congruence .

The Two Triangles can be called as  Congruent Triangles if their sides have same length and the angles also have the same measure.

One of the 4 rules in proving the triangles congruent is SSS .

The SSS Congruence Rules also called as (Side-Side-Side) Rule means that if all the three sides of one triangle are equal to the corresponding three sides in the other triangle ,

then we can say that the two triangles are congruent by SSS (Side-Side-Side) Rule .

Therefore , The SSS Congruence rule means Side-Side-Side Congruence .

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Answer:

\( \displaystyle 2 \sin(x) + 2x \cos( \alpha ) + \rm C\)

Step-by-step explanation:

we would like to integrate the following integration:

\( \displaystyle \int \frac{ \cos(2x) - \cos(2 \alpha ) }{ \cos(x) - \cos( \alpha ) } dx\)

notice that you can simplify the integrand

recall that,

\( \displaystyle \cos(2 \theta) = 2 \cos(\theta) ^{2} - 1\)

thus substitute:

\(\displaystyle \int \frac{ 2\cos^{2} (x)- 1 - \{2\cos ^{2} (\alpha ) - 1 \} }{ \cos(x) - \cos( \alpha ) } dx\)

remove parentheses:

\(\displaystyle \int \frac{ 2\cos^{2} (x)- 1 - 2\cos ^{2} (\alpha ) + 1}{ \cos(x) - \cos( \alpha ) } dx\)

\(\displaystyle \int \frac{ 2\cos^{2} (x) - 2\cos ^{2} (\alpha ) }{ \cos(x) - \cos( \alpha ) } dx\)

factor out 2:

\(\displaystyle \int \frac{ 2(\cos^{2} (x) - \cos ^{2} (\alpha )) }{ \cos(x) - \cos( \alpha ) } dx\)

we can use algebraic identity i.e

a²-b²=(a+b)(a-b) to factor the denominator

\(\displaystyle \int \frac{ 2(\cos^{} (x) + \cos ^{} (\alpha ))( \cos(x) - \cos( \alpha ) ) }{ \cos(x) - \cos( \alpha ) } dx\)

reduce fraction:

\(\displaystyle \int \frac{ 2(\cos^{} (x) + \cos ^{} (\alpha ))( \cancel{\cos(x) - \cos( \alpha ) ) }}{ \cancel{\cos(x) - \cos( \alpha ) }} dx\)

\( \displaystyle \int 2( \cos(x) + \cos( \alpha ) )dx\)

distribute:

\( \displaystyle \int 2 \cos(x) + 2\cos( \alpha ) dx\)

use sum integration formula:

\( \rm \displaystyle \int 2 \cos(x) dx+ \int2\cos( \alpha ) dx\)

recall integration rules:

\( \displaystyle 2 \sin(x) + 2x \cos( \alpha ) \)

and we of course have to add constant of integration

\( \displaystyle 2 \sin(x) + 2x \cos( \alpha ) + \rm C\)

Answer:

Step-by-step explanation:

Theres no picture

Answer:

Can you show the picture real quick use ctrl shift s to screen shot or window  F11

Step-by-step explanation:

The standard deviation of the number of individuals expected to be overweight, out of a random sample of 100 individuals from the population, is approximately 4.305.

The standard deviation of the number of individuals expected to be overweight, out of a random sample of 100 individuals from a population where 27% are overweight, can be calculated using the formula for the standard deviation of a binomial distribution, which is the square root of the product of the sample size, the probability of success, and the probability of failure.

In this case, the probability of success is 27% or 0.27 (the proportion of individuals in the population who are overweight), and the probability of failure is 1 minus the probability of success, which is 1 - 0.27 = 0.73. The sample size is 100.

The formula for the standard deviation of a binomial distribution is given by:

σ = √(n * p * q)

where σ is the standard deviation, n is the sample size, p is the probability of success, and q is the probability of failure.

Plugging in the values, we have:

σ = √(100 * 0.27 * 0.73) ≈ 4.305

Therefore, the standard deviation of the number of individuals expected to be overweight, out of a random sample of 100 individuals from the population, is approximately 4.305.

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(a) The total cost of producing 200 units is approximately $6103.53.

(b) Producing approximately 2641 units will result in total costs of $8500.

(a) To find the total cost of producing 200 units, we can substitute x = 200 into the cost function C(x) = 875 ln(x + 10) + 1600 and evaluate it.

C(200) = 875 ln(200 + 10) + 1600

C(200) ≈ 875 ln(210) + 1600

C(200) ≈ 875 × 5.347 + 1600

C(200) ≈ 4503.525 + 1600

C(200) ≈ 6103.525

Therefore, the total cost of producing 200 units is approximately $6103.53.

(b) To find the number of units that will result in total costs of $8500, we can set the cost function equal to $8500 and solve for x.

875 ln(x + 10) + 1600 = 8500

875 ln(x + 10) = 8500 - 1600

875 ln(x + 10) = 6900

Next, we can divide both sides of the equation by 875 and take the exponential of both sides to eliminate the natural logarithm:

ln(x + 10) = 6900 / 875

ln(x + 10) ≈ 7.8857

Taking the exponential:

e^(ln(x + 10)) ≈ e^7.8857

x + 10 ≈ 2650.579

x ≈ 2640.579

Rounding to the nearest whole number, producing approximately 2641 units will result in total costs of $8500.

Therefore, producing approximately 2641 units will give total costs of $8500.

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Answer:

{100}

Step-by-step explanation:

To find out how many houses have been sold this year, we need to calculate 5/6 of the total number of houses built. We can do this by multiplying 120 by 5/6:

\(120 * (5/6) = 120 * (5/6)\)

\(= 20 * 5\)

\(=100\)

So, 100 houses have been sold this year.

Answer:

The baker bought 8 pounds of apples and 4 pounds of bananas.

Step-by-step explanation:

a+b=12.

0.75a+1.05b=10.20

First, multiply 2 my 10.

75a+105b=1020.

Then multiply 1 by 75.

75a+75b=900.

Then subtract.

75a+105b=1020

75a+75b=900.

75a-75a+105b-75b=1020-900

30b=120

b=4

Substitute into (1)

a+4=12

a=8.

Hope this helps :)

Answer:

10/12 I believe

Step-by-step explanation:

have a great day!

Answer:

The surface area of the cylinder is 251.2cm²

Step-by-step explanation:

To solve this problem we have to calculate the circle area and the lateral area

radius = half of diameter

r = 10/2 = 5cm

To calculate the area of ​​the circle we use the following formula

a = area

r = radius = 5cm

π = 3.14

a = π * r²

we replace with the known values

a = 3.14 * (5cm)²

a = 3.14 * 25cm²

a = 78.5cm²

The area of the circle is 78.5cm²

To calculate the lateral area of ​​the cylinder we use the following formula

a = area  =

h = heighti = 3cm

r = radius = 5cm

π = 3.14

a = 2 * π * r * h

we replace with the known values

a = 2 * 3.14 * 5cm * 3cm

a = 6.28 * 15cm²

a = 94.2cm²

The lateral area of ​​the cylinder is 94.2cm²

Now we add the lateral area of ​​the cylinder with 2 times the area of ​​the circle and obtain the area of ​​the cylinder

94.2cm²  + (2 * 78.5cm²) = 251.2cm²

The surface area of the cylinder is 251.2cm²

Proportion of pregnancies that last fewer than 276 days is approximately 0.7340 or 73.40%.

Given, mean (μ) = 266 days and standard deviation (σ) = 16 days.

Let X be the length of pregnancies, then X follows the normal distribution with mean (μ) = 266 and standard deviation (σ) = 16.

We need to find the probability that a pregnancy lasts fewer than 276 days i.e. P(X < 276).

To find this probability, we standardize the variable X using the standard normal distribution formula:

z = (x - μ) / σ

where z is the standard normal random variable.

Substituting the given values, we get:

z = (276 - 266) / 16 = 0.625

Using a standard normal distribution table or calculator, we can find that the probability of a standard normal random variable being less than 0.625 is approximately 0.7340.

Therefore, the proportion of pregnancies that last fewer than 276 days is approximately 0.7340 or 73.40%.

Explanation: This means that out of 100 pregnancies, around 73 pregnancies will last fewer than 276 days.

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Answer:

Step-by-step explanation:

f(x) = 2x+1

g(x) = x² - 7

To find (f-g)(x) subtract g(x) from f(x)

That's

(f-g)(x) = 2x + 1 - ( x² - 7)

Remove the bracket

We have

(f-g)(x) = 2x + 1 - x² + 7

Simplify

We have the final answer as

Hope this helps you

Answer:

7.616

Step-by-step explanation:

Hope this helps.

Answer:

7.61

Step-by-step explanation:

Hazards can come in many forms, from natural disasters such as earthquakes and hurricanes, to man-made events like fires and explosions.

Regardless of the type of hazard, these events can cause significant damage to both people and property. In order to survive in these situations, it's important to be prepared and have a plan in place. This includes having emergency supplies such as food, water, and first aid kits, as well as understanding evacuation routes and procedures. Additionally, staying informed through local news and emergency alerts can help individuals make informed decisions during a hazardous event. By being proactive and prepared, people can increase their chances of surviving and minimizing the effects of hazards.

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Answer:

Slope = 3

Step-by-step explanation:

Take two points and find the slope:

\(m=\frac{y_1-y_2}{x_1-x_2}\\\\m=\frac{3-0}{-1-(-2)}\\\\m=\frac{3}{1}=3\)