branliest if correct

The graph of g and f have equal intercepts while the slope of the graph of f is 5 times larger than the slope of the graph of g

Given: f(x) = 2x-5 and g(x)=2(0.2x)-5

To compare the two graphs, we can make use of the equation of a line:

The general form of the equation of a line is y = mx + c

Where m is the slope and c is the intercept

So we will compare two the functions with the equation of a line:

Comparing f(x) = (2x-5) with y = mx + c

The slope(m) of the line = 2 and the intercept(c) = -5

Also, comparing g(x) = 2(0.2x)-5 with y = mx + c

The slope(m) of the line = 2(0.2) = 0.4 and the intercept(c) = -5

Since the slope of f(x) = 2 and the slope of g(x) = 0.4. Thus:

slope of f(x) / slope of g(x)  = 2/0.4 = 5

So we can say the slope of  f(x) is  5 times the slope of g(x)

Therefore, the graph of g and f have the same intercept. But the slope of f(x) is  5 times the slope of g(x)

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Answer:

Choices given as \(2^{16}, 4^8\) and \(16^4\) are correct.

Step-by-step explanation:

Given expression is,

\((4^5)(4^3)\)

By applying law of exponents in the given expression,

\((4^5)(4^3)=4^{5+3}\)

            \(=4^8\)

\((4^5)(4^3)=(2^2)^5(2^2)^3\)

            \(=(2^{2\times 5})(2^{2\times 3})\)

            \(=2^{10}\times 2^6\)  

            \(=2^{16}\)

            \(=(2^4)^4\)

            \(=(16)^4\)

Therefore, choices given as \(2^{16}, 4^8\) and \(16^4\) are correct.

Answer:

60 units^2

Step-by-step explanation:

In order to find the area of a triangle, you do baseXheight/2. However, we don't have the height. So, we use the pythagorean theorem to solve for the missing side.

8^2+x^2=17^2

64+x^2=289

x^2=225

x=15

So, now we can solve for the area.

15*8=120

And divide by 2 we get 60

The formula the capital gains yield = (pt 1 â pt)/dt is false.

The proper equation for  capital gains yield

return on investment = (pt - pt-1)/pt-1

where pt= cost of the resource at the conclusion of the holding period and pt-1 = cost at the start of the holding period.

 This equation communicates the rate increment (or diminish) within the cost of a resource over the holding period and could be a degree of speculation return due to changes within the cost of the resource. 

The term 'dt' in the original formula is not well defined and is not typically used in the context of calculating return on investment.  yield = (pt 1 â pt)/dt is false.

The proper equation for return on investment is:

return on investment = (pt - pt-1)/pt-1

where pt= cost of the resource at the conclusion of the holding period and pt-1 = cost at the start of the holding period.

 This equation communicates the rate increment (or diminish) within the cost of a resource over the holding period and could be a degree of speculation return due to changes within the cost of the resource. 

The term 'dt' in the original formula is not well defined and is not typically used in the context of calculating return on investment. 

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This season, there will only be 24 episodes. So, the Lily spend 12 hours to watching this season of Captain' Cove.

Given that,

30 episodes ⇔ 15 hours

1 episode ⇔ 1/2 hours

Given,

There are 24 episodes in one season so,

Time takes to watch 1 season = 24 x (1/2) = 12 hours.

Hence the number of hours takes to watch Captain's Cove will be 12 hours.

Hours are a unit of time that is commonly used to measure the duration of an event or the amount of time someone spends doing a certain task. A hour is divided into 60 minutes and is widely recognized as a standard unit of measurement around the world. It is widely used in work schedules, appointments, class schedules, and other daily activities to help keep track of the amount of time spent on a specific task or activity.

Hours are often used to calculate the amount of time spent working in a day, week, or year. This information is used to determine the amount of pay an individual will receive for their work. In addition, hours can also be used to determine the availability of a service or the operating hours of a business.

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Complete Question: -

Lily's favorite show is Captain' Cove. Lily watched all 30 episodes last season. Altogether, he spent 15 hour watching it! This season, there will only be 24 episodes. How many hour will Lily spend watching this season of Captain' Cove?

Answer:

hope this helps

Step-by-step explanation:

Let the number of psychology books be 'x'.

and that of sociology books be 'y'.

x + y = 317 (given)

Number of sociology books sold was 89 less than that of psychology books.

y = x - 89

Which means,

x + x - 89 = 317

2x = 317 + 89

2x = 406

x = 406/2 = 203

y = 203 - 89 = 114

Hence, 203 psychology books and 114 sociology books were sold.

The probability P(n < 10 | n is prime) is 4/6, which simplifies to 2/3 or approximately 0.67 (rounded to the nearest hundredth).

To find the probability P(n < 10 | n is prime), we need to determine the number of prime integers less than 10 and divide it by the total number of integers from 1 to 15 that are prime.

The prime numbers less than 10 are 2, 3, 5, and 7. So, there are 4 prime numbers less than 10.

The total number of integers from 1 to 15 that are prime is 6 (2, 3, 5, 7, 11, and 13).

As a result, the chance P(n 10 | n is prime) is 4/6, which can be expressed as 2/3 or, rounded to the nearest hundredth, as around 0.67.

Thus, 0.67 is the answer.

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Step-by-step explanation:

X = 10 (use pyth)

Y = 11.18(use pyth)

Answer:

C) -1 7/12

Step-by-step explanation:

-6 1/3 divided by 4=-19/12

reduce:

-1 7/12

Answer:

Slope of 2

Step-by-step explanation:

First thing is to look at the change in x and y from the points. You can do this by subtracting the x valie from the other value and the same for the y values. So you would do 2-0=2.

So we know the change in x between the points, so now we find the change in y. 5-1=4.

Now that we know the change in x and y, we use the expression below to solve for the slope.

\( \frac{rise}{run} \: or \: \frac{y}{x} \)

We can insert what we found and then solve for the equation

\( \frac{4}{2} \)

So we solve for that, which is 2. Now we know the slope is 2.

Answer:

given us,

(x1y1)= (2,5)

(x2y2)= (0,1)

here,

(y-y1)= (y2-y1)/ (x2-x1)× (x-x1)

or, (y-5)=(1-5)/(0-2)× (x-2)

or, y-5= -4/-2 ×(x-2)

or,y-5= 2(x-2)

or, y-5/ x-2= 2

or,y-5= 2x-4

or, 2x-y= -4+5

:. 2x-y= 1

Step-by-step explanation:

2x-y= 1

Answer:

21% decrease

Step-by-step explanation:

just took 75 _ 54 and came up with 21 and juat added the % to it

Answer:

1) x = 55°

2) x = 30°

3) x = 68°

Step-by-step explanation:

In the given set of questions where it requires to find the unknown value of x to prove that v ||w:

The Consecutive Interior Angles Theorem states that for any given two parallel lines cut by a transversal, the measures of a pair of consecutive interior angles have a sum of 180°. Hence, the pair of consecutive interior angles are supplementary.

1.)  In the given diagram, the two consective interior angles are m ∠70° and m ∠ 2x°.  As defined by the Consecutive Interior Angles Theorem:

m ∠70° + m ∠ 2x° = 180°

Solve for x algebraically:

70° + 2x° =  180°

Subtract 70° from both sides:

70° - 70° + 2x° =  180° - 70°

2x° =  110°

Divide both sides by 2 to solve for x:

\(\LARGE\mathsf{\frac {2x^{\circ}}{2}\:=\:\frac{110^{\circ}}{2}}\)

x = 55°

Verify whether the value for x is valid:

70° + 2x° =  180°

70° + 2(55)° =  180°

70° + 110° =  180°

180° =  180° (True statement).

2) In the given diagram, the two consective interior angles are m ∠2x° and m ∠ 4x°.  As defined by the Consecutive Interior Angles Theorem:

m ∠2x° + m ∠ 4x° = 180°

Solve for x algebraically:

2x° + 4x° =  180°

Add like terms:

6x° = 180°

Divide both sides by 6 to solve for x:

\(\LARGE\mathsf{\frac {6x^{\circ}}{6}\:=\:\frac{180^{\circ}}{6}}\)

x = 30°

The Consecutive Interior Angles Theorem still applies in this question. The two consective interior angles are m ∠90° and m ∠ (x + 22)°.  As defined by the Consecutive Interior Angles Theorem:

m ∠90° + m ∠ (x + 22)° = 180°

Solve for x algebraically:

90° + x° + 22 =  180°

Combine like terms:

112° + x° = 180°

Subtract 112° from both sides to isolate x:

112° - 112° + x° = 180° - 112°

x = 68°

Verify whether the value for x is valid:

90° + x° + 22 =  180°

90° + 68° + 22 =  180°

180° =  180° (True statement).

Answer:

(2×1+2)+(2×2+2)+(2×3+2)+(2×4+2)

=28

Answer:

A

Step-by-step explanation:

To find the volume we do 2 * 1.25 * 1.5 (i rewrote the fractions as decimals) which is 3.75 or 3 and 3/4 cubic inches.

Answer:

V = \(3 \frac{3}{4}\)

Step-by-step explanation:

Hey there!

Well the volume "v" of a rectangular prism is,

V = l•w•h

Fill in

\(V = 2* 1 \frac{1}{4} * 1 \frac{1}{2}\)

V = \(3 \frac{3}{4}\)

Hope this helps :)

Sophia did Calculus test better ompared to the rest of her class, as her z-score for Statistics  was lower than her z-score for Calculus

We know that the formula for the z-score is: \(z=\frac{x-\mu}{\sigma}\)

where x is the observed value

μ is the mean of the sample

σ is the standard deviation of the sample

Sophia got a 95% on her statistics. The grades had a mean of 87%, with a standard deviation of 7%

So, her z-score for statistics would be:

\(z_s=\frac{95-87}{7}\\\\z_s=1.14\)

She got a 91% on her calculus mid-term. The grades had a mean of 85%, with a standard deviation of 47%

So, her z-score for statistics would be:

\(z_c=\frac{91-85}{4}\\\\z_c=1.5\)

Since her z-score for Statistics  was lower than her z-score for Calculus,  she did Calculus test better.

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Answer:

5 dollars per week

Step-by-step explanation:

20 ÷ 4 = 5

30 ÷ 6 = 5

I believe that is your question.

In Algebra, when representing data on two quantitative variables, you can create a scatter plot to visually display the relationship between these variables. The scatter plot consists of points that represent individual data points, with one variable on the x-axis and the other on the y-axis.

In algebra, one important skill is being able to represent data on a scatter plot. This involves plotting two quantitative variables and visually analyzing how they are related.

The variables can be any numerical data points such as height and weight, age and income, or any other pair of quantitative measurements.

By analyzing the scatter plot, we can determine whether the variables have a positive or negative correlation, or whether they are independent of each other.

Understanding how to represent data on a scatter plot and analyzing the relationship between variables is an essential skill in algebra and in many other fields that use data analysis.

By examining the scatter plot, you can determine if there's a positive, negative, or no correlation between the variables, as well as identify any outliers or trends in the data.

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The median of the following set of numbers  (18, 26, 29, 18, 44) is 26. The correct option to this question is option A

To find median of the following sequence (18, 26, 29, 18, 44) we will arrange them in ascending order

                            18 , 18 , 26 , 29 , 44   . . . . . .  . . . .(1)

Since the number of terms is odd we will apply the formula

                     Median  = \(\frac{(n+1)}{2} th\) term . . . . . . .(2)

       Here n = number of terms

As per question the n = 5

Therefore putting in equation 2 we get

                      Median = \(\frac{(5+1)}{2} th\) term

                      Median = \(\frac{6}{2} th \\\)  term

                      Median = 3 term

Hence the third term from the sequence ( shown in 1 ) we get the median that is 26

Hence the median of the following set of numbers (18, 26, 29, 18, 44) is 26 .

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The median is:

26

Explanation:

First, we will arrange the numbers from least to greatest.

18, 26, 29, 18, 44

Rearrange

18, 18, 26, 29, 44.

Now, the median is the number in the middle, which is 26.

The number of ways can the selection be made is 84.

Given:

an executive hires 3 office workers from 8 applicants.

a ) .

Number of ways = C ( 8 , 3 )

C ( n , r ) = n! / ( n - r ) ! r!

C ( 8 , 3 ) = 8! / ( 8 - 3 ) ! 3!

= 8! / 5! * 3 !

= 8 * 7 * 6 * 5! / 5! * 3!

= 56 * 6 / 3!

= 56 * 6 / 3 * 2 * 1

= 56 * 3 / 2 * 1

= 28 * 3 / 1

= 28 * 3

= 84 ways

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The length of the model jet is 150 inches.

The scale given is 1 in. : 2 ft., which means that every 1 inch on the model represents 2 feet in real life.

Given that the length of the actual jet is 300 ft, we can find the length of the model by setting up a proportion:

Length of model / Length of actual jet = Scale ratio

Let's assign the length of the model as "x".

x / 300 ft = 1 in. / 2 ft

To solve for x, we can cross-multiply and solve the equation:

2 ft * x = 1 in * 300 ft

2x = 300

Dividing both sides by 2:

x = 150

Therefore, the length of the model jet is 150 inches.

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Step-by-step explanation:

Angle c + angle d = 180° ( linear pair)

given,

angle c = 5x + 9

angle d = 5x - 6

now,

5x + 9 + 5x - 6 = 180

10x + 3 = 180

10x = 180 - 3 = 177

10x = 177

x = 177/10 = 17.7

so,

angle C = 5x + 9 = 5(17.7) + 9 = 97.50°

angle D = 5x - 6 = 5(17.7) - 6 = 82.50°

Hope this answer helps you dear! take care!.

The answer is H0: At the 10% significance level, we conclude that the CFA designation is more lucrative than an MBA.

a. Set up the hypotheses to test if a CFA designation is more lucrative than an MBA at the 10% significance level.

The null hypothesis is: H0: μ1 ≤ μ2

The alternative hypothesis is: H1: μ1 > μ2So, the answer is (c) H0: μ1 − μ2 ≤ 0; HA: μ1 − μ2 > 0. b-1. Calculate the value of the test statistic.

The formula to find the test statistic is given by,

\[{\rm{T}} = \frac{{\left( {{\overline X _1} - {\overline X _2}} \right) - \left( {{\mu _1} - {\mu _2}} \right)}}{{\sqrt {\frac{{{\rm{s_1}^2}}}{n} + \frac{{{\rm{s_2}^2}}}{n}} }}\]Substituting the given values,\[{\rm{T}} = \frac{{\left( {146 - 133} \right) - \left( 0 \right)}}{{\sqrt {\frac{{{{\left( {53} \right)}^2}}}{41} + \frac{{{{\left( {26} \right)}^2}}}{52}} }} = 2.417\]

So, the value of the test statistic is 2.417.b-2. Find the p-value.

We need to find the p-value for a one-tailed test at a 10% significance level.

Since the alternative hypothesis is μ1 > μ2, the p-value is the area to the right of the test statistic.

Using a t-distribution table with 91 degrees of freedom (rounded to the nearest integer), we get the p-value as 0.010.

Since the p-value is less than the significance level, we reject the null hypothesis and conclude that the CFA designation is more lucrative than an MBA.

Therefore, the answer is H0: At the 10% significance level, we conclude that the CFA designation is more lucrative than an MBA.

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Answer:

I dont know that try asking one of the tutors one here

The worth of the investment after 4 years is approximately $13,953.95.

The formula accrued amount in a compounded interest is expressed as;

A = P( 1 + r/n )^( n × t )

Where A is accrued amount, P is principal, r is interest rate and t is time.

Given that the data in the question;

First, convert R as a percent to r as a decimal.

r = R/100

r = 13.6/100

r = 0.136

Now, plug the given values into the above formula and solve for A.

A = P( 1 + r/n )^( n × t )

A = $8,100( 1 + 0.136/365 )^( 365 × 4 )

A = $8,100( 1 + 0.136/365 )^( 1460 )

A = $13,953.95.

Therefore, the accrued amount is $13,953.95.

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The gallons of paint that Beth used is 6 gallons.

The first step is to convert pint to gallon:

1 pint = 0.125 gallon

The second step is to multiply 0.125 by 48 : 0.125 x 48 = 6 gallons

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Answer:

D?

Step-by-step explanation:

The probability of making a sum of 9 in one roll of a pair of dice is 1/9.

To calculate the probability of making a sum of 9 in one roll of a pair of dice, we need to find all the possible ways to get a sum of 9 and divide it by the total number of possible outcomes.

There are four possible ways to get a sum of 9:

(3,6)

(4,5)

(5,4)

(6,3)

There are a total of 36 possible outcomes when rolling a pair of dice (6 possible outcomes for each die), so the probability of getting a sum of 9 is:

P(sum of 9) = number of ways to get a sum of 9 / total number of outcomes

= 4 / 36

= 1/9

Therefore, the probability of making a sum of 9 in one roll of a pair of dice is 1/9.

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Answer:

4 metters por el significado

Answer:

\(\frac{1}{5}\)

Step-by-step explanation:

\(\frac{25}{125} /25 = \frac{1}{5}\)