please help me !!!!!!!

Answer:

slope = \(\frac{5}{9}\) , y- intercept = - 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

5x - 9y = 45 ( subtract 5x from both sides )

- 9y = - 5x + 45 ( divide through by - 9 )

y = \(\frac{-5}{-9}\) x + \(\frac{45}{-9}\) , that is

y = \(\frac{5}{9}\) x - 5 ← in slope- intercept form

with slope m = \(\frac{5}{9}\) and y- intercept c = - 5

Answer:

18 freshmen, 18 sophomores, 30 juniors, 30 seniors

Step-by-step explanation:

Given ratio

  freshman : sophomores : juniors : seniors

= 320 : 300 : 500 : 510

320 ≈ 300  and  500 ≈ 510

Therefore, 300 : 300 : 500 : 500

Ratio of 300 : 500 = 18 : 30

So  18 : 18 : 30 : 30 best represents the population

Given nos

Ratio:-

Round out

Option A

Answer:

so it would be 5+20

Step-by-step explanation:

Answer:

the answer is B

Step-by-step explanation:

The number of miles the penguin swam in one hour is 2.4 miles / hour.

Given that, a group of penguins swam 4/5 miles in 1/3 hour.

The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time.

Now, put distance = 4/5 miles and time = 1/3 hour is speed formula.

That is, speed = 4/5 ÷ 1/3

= 4/5 × 3/1

= 12/5

= 2.4 miles / hour

Therefore, the number of miles the penguin swam in one hour is 2.4 miles / hour.

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Answer:

Tu divises 3.50$ par 24 cookies donc environ 14 centimes

The original principal was RM 200 when rate of interest was 5% p.a. for 180 days amounted to RM205.

What is Simple interest?

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest.

Although some mortgages employ this calculation approach, this kind of interest typically relates to auto loans or short-term loans.

Given, time period = 180 days.

Time ( T) in years = 180/365 year

Amount (A) = RM 205

Rate of interest (R) = 5% p.a. = 0.05

The formula to calculate amount (A) with respect to principal (P) is:

A = P(1+RT)

⇒ 205 = P(1 + 0.05*180/365)

⇒ 205 = P(1.025)

⇒ P = 205/1.025

⇒ P = 200

Hence, principal comes out as RM200.

The original principal was RM 200 when rate of interest was 5% p.a. for 180 days amounted to RM205.

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Using Simple Interest, The original principal was RM 200 when rate of interest was 5% p.a. for 180 days amounted to RM205.

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest.

Although some mortgages employ this calculation approach, this kind of interest typically relates to auto loans or short-term loans.

Given, time period = 180 days.

Time ( T) in years = 180/365 year

Amount (A) = RM 205

Rate of interest (R) = 5% p.a. = 0.05

The formula to calculate amount (A) with respect to principal (P) is:

A = P(1+RT)

⇒ 205 = P(1 + 0.05*180/365)

⇒ 205 = P(1.025)

⇒ P = 205/1.025

⇒ P = 200

Hence, principal comes out as RM200.

The original principal was RM 200 when rate of interest was 5% p.a. for 180 days amounted to RM205.

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Answer:

4(1unit)

3(2unit)

2(3unit)

1(4unit)

-----------

total 10 line segmant  

Step-by-step explanation:

Answer:

Option 2

Step-by-step explanation:

1/4 is equal to .25 or 25/100

Answer:

C

Step-by-step explanation:

The percentage of the shaded region of the circle is 75%.

Option C is the correct answer.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

The circle can be in 4 parts.

Three parts are shaded.

Now,

The percent of the shaded region.

= (Shaded parts / Total parts) x 100

= 3/4 x 100

= 75%

Thus,

75% is shaded.

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Answer: 71 people per year

Step-by-step explanation:

8210 - 7500 = 710

710 ÷ 10 = 71.

Rate of growth in people per year for those 10 years = 71 people per year.

The equation is y = 7500 × (1.00908)ˣ. Then the rate of growth in people per year for those 10 years is 1.00908.

Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.

A town's population grew from 7500 people to 8210 over the span of 10 years.

We know that the equation is given as

\(\rm y = ab^x\)

We have

y = 8210

a = 7500

x = 10

Then the value of b will be

\(\begin{aligned} \rm 8210 = \rm 7500\times b^{10}\\\\\rm b^{10} = 1.09467 \\\\\rm b = \sqrt[10]{1.09467}\\\\\rm b =1.00908\end{aligned}\)

Then the rate of growth in people per year for those 10 years is 1.00908.

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Answer:

44

Step-by-step explanation:

11/4 gallons = 2.75 gallons there are 16 cups in a gallon that men's there's 32 cups for 2 gallons and 12 cups for .75 gallons 32+12=44 cups

\(\color{plum}m∠ABC = 71° \)

Which means :

m∠ABC = ∠ADC (opposite angles of a parallelogram)

m∠ABC :

= 37° + 34°

= 71°

Thus, the measure of ∠ABC = 71°

Let us find the measures of the other angles as well :

m∠BCD + m∠ADC = 180°

m∠BCD + 71 = 180°

m∠BCD = 180 - 71

m∠BCD = 109°

Thus, the measure of∠BCD = 109°

m∠BCD = ∠BAD (opposite angles of a parallelogram)

m∠BAD = 109°

Thus, the measure of ∠BAD = 109°

Therefore, m∠ABC = 71°

Answer:

Step-by-step explanation:

Given isosceles trapezoid AB = CD

Angles B and C are congruent and angles A and D are congruent.

A and B, as well as C and D sum to 180 as supplementary angles, therefore:

Answer:

the percentage of the company works on the weekend is 50%

Step-by-step explanation:

The computation of the percentage of the company works on the weekend is shown below:

= Total number of employees working on weekends ÷ number of employees in a company

= 250 employees ÷ 500 employees

= 0.50

= 50%

hence, the percentage of the company works on the weekend is 50%

Using the binomial distribution, it is found that approximately 156 cards must be drawn from the deck before players' tokens move forward 50 times.

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected number of trials until q successes is:

\(E_s(X) = \frac{q}{p}\)

In this problem, the parameters are given as follows:

q = 50, p = 0.32.

Hence:

\(E_s(X) = \frac{50}{0.32} = 156\)

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Answer:

5) a)(-4,-6) b) (4,2)  c) (2,6)     6) (3,2)

Step-by-step explanation:

5) the solution is the points where the lines meet.

6) graphed the lines; the picture of the graph is attached below

Answer:

21 cm

Step-by-step explanation:

The computation of the radius is shown below:

As we know that

The volume of the cone = \(\frac{1}{3} \pi r^2h\)

where

Volume of the cone is 16.632 cm^3

height = 36 cm

So, the radius of the cone is

\(16.632 cm^3 = \frac{1}{3} \times \frac{22}{7} \times r^2 \times 36\\\\16.632 cm^3 = \frac{22}{7} \times 12 \times r^2\\\\16.632 cm^3 = \frac{264}{7} \times r^2\\\\r = \sqrt{441} \\\\r = 21 cm\)

Answer:

B. 0

Step-by-step explanation:

Answer:

correct B) 0

Step-by-step explanation:

e2021

Answer:

its greater than 10 but lesser than 100 because simplifying them in fractional form indeed informs u that its greater than 10

Their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.

To determine the day of the week on which Kai and Finley's exam was scheduled, we need to consider the information provided about the trail being closed on Mondays, Wednesdays, and weekends.

If they had planned to hike to the log cabin for two days after the exams, and the trail is closed on weekends, it means they cannot start hiking on Saturday or Sunday.

Since they cannot start hiking on Saturday or Sunday, the two possible options for the exam day would be Monday or Wednesday, as they have not specified whether the hike starts immediately after the exams or the day after.

However, we can conclude that their exam was not scheduled on Monday, as the trail is closed on Mondays, and they had planned to hike immediately after the exams.

Therefore, their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.

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The expression for the total number of packets of crisps that Jane buys is given as follows:

p + c.

The amounts of packets of crisps purchased are given as follows:

The expression for the total number of packets of crisps that Jane buys is given by the addition of these two amounts.

Hence the expression for the total number of packets of crisps that Jane buys is given as follows:

p + c.

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The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.

If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:

1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.

2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.

3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.

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Answer:

there is no picture but m∠EBD = m∠EBD would be one of the best one as a guess to what the photo might be

Step-by-step explanation:

Point E is added to the given figure so that point E lies on segment BD and it is exactly halfway between points B and D

Answer:

\(\mathbf{\dfrac{e^{2t}}{36} + \dfrac{e^{3t}}{18} + \dfrac{e^{4t}}{12} +\dfrac{e^{5t}}{9} + \dfrac{5e^{6t}}{36} + \dfrac{7e^{7t}}{6} + \dfrac{5e^{8t}}{36} + \dfrac{e^{9t}}{9} + \dfrac{e^{10t}}{12} + \dfrac{e^{11t}}{18} + \dfrac{e^{12t}}{36} }\)

Step-by-step explanation:

The objective is to find the moment generating  function of  \(M_{X+Y}(t) \ of \ X+Y\).

We are being informed that the fair die is rolled twice;

So; X to be the value for the  first roll

Y to be the value of the second roll

The outcomes  of X are:  X = {1,2,3,4,5,6}

Where ;

\(P (X=x) = \dfrac{1}{6}\)

The outcomes  of Y are:  y = {1,2,3,4,5,6}

Where ;

\(P (Y=y) = \dfrac{1}{6}\)

The outcome of Z = X+Y

\(= \left[\begin{array}{cccccc}(1,1)&(1,2)&(1,3)&(1,4)&(1,5)&(1,6)\\ (2,1)&(2,2)&(2,3)&(2,4)&(2,5)&(2,6)\\ (3,1)&(3,2)&(3,3)&(3,4)&(3,5)&(3,6) \\ (4,1)&(4,2)&(4,3)&(4,4)&(4,5)&(4,6) \\ (5,1)&(5,2)&(5,3)&(5,4)&(5,5)&(5,6) \\ (6,1)&(6,2)&(6,3)&(6,4)&(6,5)&(6,6) \end{array}\right]\)

= [2,3,4,5,6,7,8,9,10,11,12]

Here;

\(P (Z=z) = \dfrac{1}{36}\)

∴ the moment generating function \(M_{X+Y}(t) \ of \ X+Y\)is as follows:

\(M_{X+Y}(t) \ of \ X+Y\) = \(E(e^{t(X+Y)}) = E(e^{tz})\)

⇒ \(\sum \limits^{12}_ {z=2 } et ^z \ P(Z=z)\)

= \(\mathbf{\dfrac{e^{2t}}{36} + \dfrac{e^{3t}}{18} + \dfrac{e^{4t}}{12} +\dfrac{e^{5t}}{9} + \dfrac{5e^{6t}}{36} + \dfrac{7e^{7t}}{6} + \dfrac{5e^{8t}}{36} + \dfrac{e^{9t}}{9} + \dfrac{e^{10t}}{12} + \dfrac{e^{11t}}{18} + \dfrac{e^{12t}}{36} }\)

Answer:

Step-by-step explanation:

The slope:

The y -intercept:

The equation off the line:

The slope:

The y -intercept:

The equation off the line:

As we see they get same slopes but different y-intercepts.

Correct choice is B

Answer:

B) They will have the same slopes but different y-intercepts.

Step-by-step explanation:

I got 100% :>

Answer:

-2

Step-by-step explanation:

We have the graph of \(y=f(x)\).

We want to find \(f(-6)\).

In other words, what is the value of the graph when \(x=-6?\)

We can see that when \(x=-6\), our graph \(f(x)\) is at the point B(-6, -2).

Therefore, \(f(-6)=-2\)

So, our answer is -2.

Answer:

-1/2

Step-by-step explanation:

We know

The dilation of K(-2,4) equals K'(1,-2)

To get from -2 to 1, we time -1/2

To get from 4 to -2, we time -1/2

So, the scale factor used for the dilation is -1/2

when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one.  Check the picture below.

\(\cfrac{a}{18}=\cfrac{32}{a}\implies a^2=(32)(18)\implies a=\sqrt{(32)(18)}\implies a=24 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{b}{50}=\cfrac{32}{b}\implies b^2=(32)(50)\implies b=\sqrt{(32)(50)}\implies b=40\)