Someone help meeee !!

Step-by-step explanation:

Since AC : CD  is  7:13   AD = 20    ( or a multiple of)

AB:BD is  1:4     multiply by 4

AB:BD is  4 : 16     which shows again AD = 20

then

AB = 4    BC goes from  4 TO 7    So      BC = 3     and    CD is 13   (given)

AB:BC:CD is then   4:3:13      (Which again totals 20)

The general solution of the given differential equation dy/dt = -ty + 3, where lower case c represents a constant, is y = (3 ± C\(e^{(-t)}\))/t

To find the general solution of the given differential equation dy/dt = -ty + 3, we can use the method of separation of variables.

Let's start by separating the variables:

dy/(-ty + 3) = dt

Now, let's integrate both sides with respect to their respective variables:

∫(1/(-ty + 3)) dy = ∫dt

To integrate the left side, we can use a substitution. Let u = -ty + 3, then du = -tdy, and the integral becomes:

-∫(1/u) du = ∫dt

-ln|u| = t + C1

-ln|(-ty + 3)| = t + C1

To remove the absolute value, we can rewrite the equation as:

-ty + 3 = ±\(e^{(-t - C1)}\)

Now, let's solve for y:

y = (3 ± \(e^{(-t - C1)}\))/t

We can simplify the expression further by combining the constants:

y = (3 ± C\(e^{(-t)}\))/t

Where C = ±\(e^{(-C1)}\) is the constant of integration. Therefore, the general solution of the given differential equation is:

y = (3 ± C\(e^{(-t)}\))/t

Here, the lower case c is represented by the constant C.

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Answer:

sorry but i don't understand.

Step-by-step explanation:

Two non-vertical lines in the same plane are said to be parallel if they have the same slope. No two parallel lines will ever cross. A set of non-vertical lines within the same plane are considered to be perpendicular if they meet at a right angle.

Perpendicular lines and parallel lines both meet at 90 degrees, although parallel lines never do. Lines are perpendicular if the slope of one line is equal to the reciprocal of the second line's negative slope.

Lines that have the same slope are therefore said to be parallel, and if the slope of one line is equal to the negative reciprocal of the slope of the other, the two lines are said to be perpendicular; otherwise, they are just intersecting lines.

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Altitude and perpendicular bisector of a side are always perpendicular to a side of a triangle.

How do triangles work?

A triangle is a three-sided polygon with three vertices. The angles of the triangle are formed by the three sides' end-to-end connections at a point.

               The triangle's three angles add up to a total of 180 degrees.

In a triangle, what is the altitude?

The perpendicular line drawn from a triangle's vertex to its opposite side is the definition of a triangle's altitude.

                       The altitude forms a right-angle triangle with the base and is also referred to as the triangle's height.

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Step-by-step explanation:

The line representing the equation 7x1 + 4x2 = 28 goes through the points (4,0) and (0,7).

Given that the plane was 2200 feet above the ground and the jump lasted 95 seconds, we need to determine the skydiver's altitude 60 seconds after jumping.

To find the skydiver's altitude 60 seconds after jumping, we can use the concept of a linear relationship between altitude and time. Let's consider the initial altitude of the plane, which is 2200 feet above the ground. We know that the jump lasted 95 seconds, so we need to calculate the rate of descent or the change in altitude per second.

To determine the rate of descent, we divide the initial altitude by the duration of the jump: 2200 feet / 95 seconds ≈ 23.16 feet/second.

Since the relationship between altitude and time is linear, we can use this rate of descent to find the altitude 60 seconds after the jump. We multiply the rate of descent by the time elapsed (60 seconds) and subtract the result from the initial altitude:

Altitude = Initial Altitude - (Rate of Descent × Time)

        = 2200 feet - (23.16 feet/second × 60 seconds)

        ≈ 2200 feet - 1389.6 feet

        ≈ 810.4 feet.

Therefore, the skydiver would be approximately 810.4 feet above the ground 60 seconds after jumping.

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Answer:

square root of 17, 4 2/3, 5.2, square root of 32

Step-by-step explanation:

square root of 17 = 4.123105625617661

Square root of 32 = 5.656854249492381

4 2/3 = 4.66.....

Answer:

$14.50

Step-by-step explanation:

To calculate the cost for manufacturing a standard cereal box, we must take in account its surface area. The volume will be used to estimate the amount of cereal, the box can contain. The box is a cuboid as standard cereal boxes are cuboid.

So, we will consider the surface area. Given are:

Length- 8 inches

Width- 3 inches

Height- 11 inches

We will find the surface area as : 2lw + 2wh +2lh

= (2x8x3) + (2x3x11) + (2x8x11)

= 48 + 66 + 176 = 290 square inches

Given is - the cost of manufacturing the box is $0.05 per square inch.

So, cost of manufacturing the box with 290 square inches area =

0.05 x 290 = $14.50

The answer is $14.50

Answer:

irrational

rational

irrational

rational

rational

Step-by-step explanation:

1. π is irrational, so a multiple of π is also irrational.

2. -30.22 is a terminating decimal, so it is rational.

3. -sqrt(23): sqrt(16) = 4; sqrt(25) = 5. sqrt(23) is between 4 and 5 and irrational.

4. 70.95 is a repeating decimal, so it is rational.

5. √49 = 7 and is rational.

The probability that the next toss will be heads is 0.465.

Conditional probability is the probability of one event occurring with some relationship to one or more other events

Let A be the event that represents the result of  heads from the 60 coin tosses.

Using the Naive Definition of the Probability.

Experimental probability on an event A is (number of outcomes favorable to A) / (number of outcomes) = s(A) / s(Ω)

P(A) = 60 / 129 = 0.465

Therefore, the probability that the next toss will be heads is 0.465.

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Using Pascal's triangle the expansion of the expression \((5x+5)^3\) is \(125x^3+375x^2+375x+125\).

What is Pascal's triangle?

The triangle can be used to calculate the coefficients of the expansion of  \((a+b)^n\) by taking the exponent n and adding 1. The coefficient will correspond with line n+1 of the triangle.

Here for \((5x+5)^3\) , n= 3 so the coefficient of the expansion will correspond with line 4.

The expansion follow the rule ,

\((a+b)^n=c_{0}a^nb^0+c_{1}a^{n-1}b^1+c_{n-1}a^1b^{n-1}+c_{n}a^0b^n\)

The values of the coefficients, from the triangle, are 1-3-3-1.

=> \(1a^3b^0+3a^2b+3a^1b^2+1a^0b^3\)

Here substitute a=5x and b=5 then,

=> \(1(5x)^35^0+3(5x)^25+3(5x)^25^2+1(5x)^15^3\)

=> \(125x^3+375x^2+375x+125\)

Hence the expansion of the expression \((5x+5)^3\) is \(125x^3+375x^2+375x+125\).

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The year it will take Mussman to reach a population of 27,000 resident is 10.7 years

Population growth is the increase in the number of people in a population or dispersed group.

We use exponential function when calculating increase in population per time

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

27000 = 13500 e^0.065t

e^0.065t = 27000/13500

0.065t = ln 2

0.065t = 0.693

t = 0.693/0.065

t = 10.7 years

therefore it will take 10.7years for the resident of Mussman to reach a population of 27000

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We can use a sorting algorithm such as Insertion Sort, Selection Sort, Merge Sort, or Quick Sort to sort the array in increasing order. This will convert the array into a non decreasing array.

1. Initialize a sorting algorithm of your choice.

2. Compare two adjacent elements and swap them if they are not in the desired order.

3. Repeat step 2 until the array is sorted.

4. After sorting, the array will be in non decreasing order.

We can use a sorting algorithm such as Insertion Sort, Selection Sort, Merge Sort, or Quick Sort to sort the array in increasing order. This will convert the array into a non decreasing array.

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Answer:

-4

Step-by-step explanation:

7 + (-11) basically translates to 7 - 11.  Since the bigger number has the negative sign here, you just have to subtract 11-7 and then add the negative onto the answer.

Answer:

-4

Step-by-step explanation:

7-11

-4

if it is a number + a negative number you remove the +and just subtract

Xavier's average speed is 1 kilometer per minute.

To calculate Xavier's average speed, we need to determine the total time it took him to reach Terminal B and the distance traveled.

Given that Henry had completed 3/4 of the journey when Xavier reached Terminal B, it means Xavier took 1/4 of the total time for the journey. Since Xavier reached Terminal B 30 minutes earlier than Henry, we can infer that Xavier took 30 minutes for his part of the journey.

Since Henry was 30 km away from Terminal B when Xavier reached it, we can assume that Xavier traveled the remaining 30 km to reach Terminal B.

Therefore, Xavier's average speed can be calculated as the distance divided by the time:

Average Speed = Distance / Time = 30 km / 30 minutes = 1 km/minute.

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The solution to the given differential equation 2xy(dy/dx) = y², with the initial condition y(2) = 3, is y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\).

To solve the given differential equation

2xy(dy/dx) = y²

We will use separation of variables and integrate to find the solution.

Start with the given equation

2xy(dy/dx) = y²

Divide both sides by y²:

(2x/y) dy = dx

Integrate both sides:

∫(2x/y) dy = ∫dx

Integrating the left side requires a substitution. Let u = y², then du = 2y dy:

∫(2x/u) du = ∫dx

2∫(x/u) du = ∫dx

2 ln|u| = x + C

Replacing u with y²:

2 ln|y²| = x + C

Using the properties of logarithms:

ln|y⁴| = x + C

Exponentiating both sides:

|y⁴| = \(e^{x + C}\)

Since the absolute value is taken, we can remove it and incorporate the constant of integration

y⁴ = \(e^{x + C}\)

Simplifying, let A = \(e^C:\)

y^4 = A * eˣ

Taking the fourth root of both sides:

y = (A * eˣ\()^{1/4}\)

Now we can incorporate the initial condition y(2) = 3

3 = (A * e²\()^{1/4}\)

Cubing both sides:

27 = A * e²

Solving for A:

A = 27 / e²

Finally, substituting A back into the solution

y = ((27 / e²) * eˣ\()^{1/4}\)

Simplifying further

y = (27 *  e⁽ˣ⁻²⁾\()^{1/4}\)

Therefore, the solution to the given differential equation with the initial condition y(2) = 3 is

y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)

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Answer:

x=3

Step-by-step explanation:

log (x^2 - 1) - log (2x + 2) = 0

Add log (2x + 2) to each side

log (x^2 - 1) = log (2x + 2)

Since the logs with the same base are equal the x^2 -1 must equal 2x+2

x^2 -1 = 2x+2

Subtract 2x+2 from each side

x^2 -1 -2x-2 = 2x+2 -2x-2

x^2 -2x-3 = 0

Factor

What number multiplies to -3 and adds to -2

-3 *1 =-3

-3+1 =-2

(x-3) (x+1) =0

Using the zero product property

x-3 =0   x+1 =0

x=3  x=-1

Check to see if solutions are valid

x = -1

log ((-1)^2 - 1) - log (2*-1 + 2) = 0

log(0) - log 0 = 0

Log 0 is undefined  x =-1 not a valid solution

x = 3

log ((3)^2 - 1) - log (2*3 + 2) = 0

log(8) - log 8 = 0

valid

Salik and Maya are discussing a project that examines the relationship between the number of siblings someone has and their household income. Maya predicts that those with more siblings will have a higher household income. Salik questions whether the number of siblings is a categorical variable since it is a whole number. Our response can be : "In order to conduct this project, we need to choose two quantitative variables, which are variables that can be measured and expressed as numbers. The number of siblings is not a categorical variable because it is a continuous variable that can take on any whole number value."

The number of siblings is a quantitative variable because it can be expressed as a whole number. Household income is also a quantitative variable because it can be measured and expressed as a numerical value. Categorical variables are variables that can be divided into distinct categories or groups, such as gender, race, or occupation. The number of siblings is not a categorical variable because it is a continuous variable that can take on any whole number value.

To examine the relationship between the number of siblings and household income, Maya and Salik could use statistics to analyze their data. They could calculate descriptive statistics such as the mean and standard deviation for each variable, as well as the correlation coefficient to determine the strength and direction of the relationship between the two variables. They could also use probability theory to make predictions about the likelihood of certain outcomes, such as the probability that someone with more siblings will have a higher household income.

The complete question is:

Our classmates, Maya and Salik, are talking about the variables they want to study and how they plan to collect their samples. Here is part of their conversation. Respond in the places that say “your response.”

Double-check that both of their variables are quantitative.

Maya: I want to look at the relationship between the number of siblings someone has and the household income. I predict that those with more siblings have a higher household income.

Salik: We need two quantitative variables for this project. Wouldn’t number of siblings be categorical since it is whole numbers?

Your response:.........

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Options:

A.) Jane should multiply volumes, not areas.

B.) Jane should also subtract the areas of six hidden surfaces.

C.) Jane should also add the areas of six hidden surfaces.

D.) Jane is correct.

Answer:

B.) Jane should also subtract the areas of six hidden surfaces.

Step-by-step explanation:

When three-dimensional solids are joined together to form a solid, some surfaces will be visible while others won't.

When calculating the surface areas of such shapes, we only consider the visible parts (i.e. the areas of the hidden parts will be subtracted from the total areas of the individual shapes).

Since the sculpture is not attached to this question, we can assume that there are 6 hidden surfaces (as suggested by the options). The areas of these 6 hidden surfaces must be subtracted to get the actual surface area.

Answer:

Jane should also subtract the areas of six hidden surfaces.

Step-by-step explanation:

I just did it on Imagine Math

The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x. The cab charges $0.88 for a ride of 2 miles. And the cab charges $1.72 for a trip of 8 miles.

a. The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x

b. To find the number of miles for a cab ride that costs $0.88, we can set up the equation:

$0.88 = $0.60 + $0.14 * x

Subtracting $0.60 from both sides, we get:

$0.88 - $0.60 = $0.14 * x

$0.28 = $0.14 * x

Dividing both sides by $0.14, we find:

x = $0.28 / $0.14

x = 2 miles

Therefore, the cab charges $0.88 for a ride of 2 miles.

c. To calculate the cost of a trip of 8 miles, we can substitute x = 8 into the equation:

Cost = $0.60 + $0.14 * 8

Cost = $0.60 + $1.12

Cost = $1.72

Therefore, the cab charges $1.72 for a trip of 8 miles.

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Answer:

Step-by-step explanation:

To convert a fraction to a decimal, you divide the numerator by the denominator. The line in the middle of a fraction is essentially a large division sign.

Let's check Jackie's work

1/200 = 0.005

3/10 = 0.3

7/8 = 0.875

4/5 = 0.8

Jackie listed 7/8 as 0.625, which is incorrect. 7/8 is 0.875

So, 0.625 is your answer.

In this scenario, we are interested in testing a hypothesis about the proportion of first-year college students who are undecided about their major. The claimed proportion is 0.47, but the researcher believes this value is too high. To test this hypothesis, the researcher surveys a random sample of 450 first-year college students and finds that 189 of them are undecided about their major.

To find the p-value in this problem, we need to conduct a hypothesis test. Let's define the terms first:

1. Proportion: The proportion of first-year college students who are undecided about their major, claimed to be 0.47.
2. Hypothesis: We are testing if the claimed proportion (0.47) is too high.
3. Sample: A random sample of 450 first-year college students, with 189 undecided about their major.

Now, let's follow the steps of a hypothesis test:

Step 1: Define the null hypothesis (H0) and alternative hypothesis (H1).
H0: p = 0.47 (The proportion is equal to 0.47)
H1: p < 0.47 (The proportion is less than 0.47)

Step 2: Calculate the test statistic.
Test statistic = (Sample proportion - Claimed proportion) / Standard error
Sample proportion = 189 / 450 = 0.42
Standard error = sqrt[(0.47 * (1 - 0.47)) / 450] ≈ 0.0229

Test statistic = (0.42 - 0.47) / 0.0229 ≈ -2.18

Step 3: Find the p-value using the test statistic from a Z-distribution table or calculator.
The test statistic is -2.18, which corresponds to a p-value of approximately 0.0146.

Step 4: Compare the p-value to the chosen significance level (alpha).
The p-value is between 0.01 and 0.05.

Therefore, the answer is: C. between 0.01 and 0.05.

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Answer:

b is the answer.

-7+3

change the middle sign -7-3

change the wnd number -7--3

since you can subtract a negative from a negative you add them -7+-3

Answer:

\(\bold{\frac{3}{16} }\)

Explanation:

1 / 16 (3)

= (1 / 16) (3 / 1)

= (1)(3) / (16)(1)

= 3 / 16