Find an equation for the line that passes through the points (5,-4) and (1,2)

Answer:300,000

Step-by-step explanation:

Ap3x

The total initial deposit of the bank is $ 300000.

Percentages, one of the most frequent ways to show the statistics is by percentage. Percent simply means "per hundred" and the symbol used to express percentage is %.

Here, Let the total initial deposit be x

         Bank receives amount = $ 30,000

         Bank reserve requirement = 10 %

Now, 10% of total = 30,000

    x = 30000 /0.1

  x = 300000

Thus, he total initial deposit of the bank is $ 300000.

Learn more about Percentage from:

https://brainly.com/question/14979505

#SPJ2

Answer:

Maybe two inches

Step-by-step explanation:

The number of inches the drawing of his head be from top to bottom is 2 inches.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Given that, the measure of head of adult male is 1/8 of the total height.

The full drawn height of a 6-foot man is 16 inches

So, the measure of head in the drawing is

1/8 ×16

= 2 inches

Therefore, the number of inches the drawing of his head be from top to bottom is 2 inches.

To learn more about the fraction visit:

brainly.com/question/1301963.

#SPJ2

Answer:

0.5 X 3 equals 1.5. So it would take One and a half buckets of paint to paint the walls

If an indifference curve is bowed in toward the origin, the marginal rate of substitution is different for each bundle along the indifference curve.

So, the correct option is D.

Marginal rate of substitution is the maximum amount of a commodity that can be given up in exchange for a unit of another commodity, without affecting the level of satisfaction provided by the total consumption bundle.The marginal rate of substitution (MRS) is defined as the amount of one good a consumer is willing to forgo to gain an additional unit of another good while maintaining the same level of satisfaction. It is the ratio of the marginal utility of the two goods. MRS is not constant along an indifference curve because it diminishes as the consumer moves down an indifference curve towards the corner. For any two bundles of goods, the MRS is the slope of the indifference curve at the point where the bundle is located on the graph.If the indifference curve is bowed in towards the origin, then it will have a different marginal rate of substitution (MRS) for each bundle along the curve, and it will not reflect the relative value of the goods. Therefore, the answer is (d) different for each bundle along the indifference curve.

For more such questions on Marginal rate

https://brainly.com/question/14390716

#SPJ11

You would need to complete 8095.238095 marathons in order to equal 340000, divided by 42.  so, radius(r) = 384000 km .Circumference = 2r=42340000 =42340000 =8095.23 km is the result.

How fast must you go from Earth to the moon in order to get there in three days?

The distance between Earth and the Moon is typically 384,000 kilometers (238600 miles). This calculation indicates that it would take 72 hours to go directly to the Moon at the a speed of 5334 km/h (1481 m/s or 3314 mph).

In contrast, that is not how orbital mechanics operates. Gravity is an ever-present force that has an impact on how objects move through space. Unlike earthbound vehicles, spacecraft move on curved paths. Since they truly visited the Moon, the Apollo missions serve as a strong illustration.

To know more about radius click here

brainly.com/question/28946570

#SPJ4

Answer:

$16.98

Step-by-step explanation:

First you have to multiply the amount of letters and postcards by the amount each stamps costs:

12x0.79=9.48

25x0.30=7.50

Then add those values together to get the total:

9.48+7.50=16.98

$16.98 is your answer

Hope this helps!

Answer:

14:250 15:2800

Step-by-step explanation:

14: 32%=80 dividing both sides by 8 we get 4% = 10. multiply both sides by 25 and we get 100%=250

15: same strategy, 2%=56 so 1%=28. multiply by 100 to get 100%=2800

Answer:

Step-by-step explanation:

if the ratio of red to blue circles is 1:3 how many more red circles need to be added to make it a ratio of 3:1

add 8 red =

9/3 = 3/1

The first three terms of the Taylor series are :f(x) ≈ 6 ln(5.1) / ln(4) + (6(4) / (ln(4)(5.1)))0.352 - (3(4)² / [ln(4)(5.1)²])0.352²= 0.319approx.

The function given is f(x) = 6log4(ax + b). In order to obtain the Taylor series representation of the function f(x) = 6log4(ax + b), we must first find the derivatives of the function :

Let y = ax + b, then f(x) = 6log4(y) Since loga(u) = ln(u) / ln(a), f(x) = 6(ln(y) / ln(4)) = 6/ln(4) ln(y) Using the chain rule, we get that the first derivative is: f '(x) = (6 / ln(4)) (1/y) (dy/dx) Since y = ax + b, dy/dx = a Therefore, f '(x) = 6a / (ln(4) (ax + b))

Using the quotient rule for logarithms, the second derivative is : f ''(x) = - 6a² / [ln(4) (ax + b)²]Using the quotient rule for logarithms twice, the third derivative is: f '''(x) = (6a³) / [ln(4) (ax + b)³]

The Taylor series expansion of f(x) = 6log4(ax + b) around x = 0 is: f(x) ≈ f(0) + f'(0)x + (f''(0) / 2!) x² + (f'''(0) / 3!) x³+ ...

Where f(0) = 6 log4(b) = 6 ln(b) / ln(4),

f'(0) = 6a / (ln(4)b),

f''(0) = - 6a² / [ln(4)b²], and

f'''(0) = 6a³ / [ln(4)b³]

Therefore, the first three terms of the series are: f(x) ≈ 6 ln(b) / ln(4) + (6a / (ln(4)b))x - (3a² / [ln(4)b²])x² + ... If a = 4, b = 5.1, and x = 0.352, we can substitute these values into the series to find an approximation of f(x):f(x) ≈ 6 ln(5.1) / ln(4) + (6(4) / (ln(4)(5.1)))0.352 - (3(4)² / [ln(4)(5.1)²])0.352²= 0.319approx.

To know more about Taylor series refer here:

https://brainly.com/question/31140778

#SPJ11

Answer:

english pls :)

Step-by-step explanation:

Answer: Hi I'm Jimin!

English: 5(x-2)

Step-by-step explanation:

Answer:

5(x-2)

Step-by-step explanation:

5x-10 turns into 5(x-2)

The probability of Julie winning the game by flipping 3 coins and getting heads all three times is 1/8, or 12.5%.

In the given tree diagram, there are three levels representing the three coin flips. At each level, there are two branches, one for heads and one for tails. Since Julie needs to get heads on all three flips to win, we follow the branch that leads to heads at each level.

Starting at the first level, there is a 1/2 chance of getting heads. Moving to the second level, there is another 1/2 chance of getting heads. Finally, at the third level, there is yet another 1/2 chance of getting heads.

To calculate the overall probability, we multiply the probabilities of each individual event:

1/2 * 1/2 * 1/2 = 1/8.

This means there is a 1 in 8 chance of Julie winning the game by flipping all three coins and getting heads each time.

In percentage terms, 1/8 can be expressed as 12.5%. Therefore, the probability of Julie winning the game is 12.5%.

Learn more about the probability here:

https://brainly.com/question/30034780

#SPJ11

The domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis

Given:

The domain of the graph is the x- input values.

So, domain = (-∞, ∞)

and, the range is y- input values.

range =  (-∞, ∞)

and, the equation of line is

y - 0 = -4/5 (x - 10)

y= -4/5(x-10)

So, at x=5

f(5) = -4/5(5-10)

f(5) = -4/5 (-5)

f(5) = 4

Learn more about domain and range here:

https://brainly.com/question/28135761

#SPJ1

The measure of angle a is 15 degrees and this can be determined by using the properties of the isosceles triangle.

In geometry, interior angles are formed in two ways. One is inside a polygon, and the other is when parallel lines cut by a transversal. Angles are categorized into different types based on their measurements.

Given:

The following steps can be used in order to determine the measure of angle a:

Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.

Step 2 - Apply the sum of interior angle property on triangle PQR.

\(\angle\text{Q}+\angle\text{P}+\angle\text{R}=180\)

\(\angle\text{Q}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-60\)

\(\angle\text{R}=60^\circ\)

Step 3 - Now, apply the sum of interior angle property on triangle PSR.

\(\angle\text{P}+\angle\text{S}+\angle\text{R}=180\)

\(\angle\text{S}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-90\)

\(\angle\text{R}=45^\circ\)

Step 4 - Now, the measure of angle a is calculated as:

\(\angle\text{a}=60-45\)

\(\angle\text{a}=15\)

The measure of angle a is 15 degrees.

For more information on interior angles, refer to the link given below:

https://brainly.com/question/28795639

Therefore, the number of ways a student can work 7 out of 10 questions on the exam is 120, which corresponds to option (D).

The number of ways a student can work 7 out of 10 questions on an exam can be calculated using the concept of combinations.

The formula for combinations is given by:

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

Where n is the total number of items and k is the number of items chosen.

In this case, the student is choosing 7 questions out of a total of 10, so we have:

C(10, 7) = 10! / (7!(10 - 7)!) = 10! / (7!3!)

Simplifying:

10! = 10 * 9 * 8 * 7!

3! = 3 * 2 * 1

C(10, 7) = (10 * 9 * 8 * 7!) / (7! * 3 * 2 * 1)

The 7! terms cancel out:

C(10, 7) = (10 * 9 * 8) / (3 * 2 * 1)

C(10, 7) = 120

To know more about number of ways,

https://brainly.com/question/29120104

#SPJ11

Answer:

430 cm^2

thankuhh

have a nice day

Answer:8(10+2)

8(10+2)

8×10=80

8×2=16

I hope this is good enough:

uMMMMMMMM I don't know

The cost of an afternoon ticket is $12.

An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question.

Let x = cost of an afternoon ticket

If a ticket to an evening performance of a play costs $3 more than a ticket to an afternoon performance, then

cost of an evening ticket = 3 + x.

If 8 evening tickets is the same price as 10 afternoon tickets, then

8(3 + x) = 10x.

Simplify the equation and solve for the value of x.

8(3 + x) = 10x

24 + 8x = 10x

2x = 24

x = 12

cost of an afternoon ticket = $12

Learn more about algebraic expression here: brainly.com/question/4344214

#SPJ4

Answer:

Step-by-step explanation:

Converting to decimal (nearest hundredth if needed)

Hey there!

Convert to decimals,

1/4 = 0.25

1/5 = 0.20

1/2 = 0.50

1/9 = 0.11

2/11​ = 0.18

Greatest to least = 1/2 > 1/4 > 1/5 > 2/11 > 1/9.

Greatest = 1/2

Least = 1/9

Hope this helps ya!

Answer:

Step-by-step explanation:

ratio and proportion:

28 photos    =    21  photos

8 min                     x min.

21 (8) = 28 (x)

x = 168 / 28

x = 6 min.

Reading a list of data and answering questions related to comparisons, percentages, and proportions involves analyzing the given information and calculating relevant metrics based on the data.

To determine "how many more" or the difference between two values, you subtract one value from the other. For example, if you are comparing the sales of two products, you can subtract the sales of one product from the other to find the difference in sales.

To calculate "what percentage of" a specific value, you divide the specific value by the total and multiply it by 100. This will give you the percentage. For instance, if you want to find the percentage of customers who rated a product positively out of the total number of customers, you divide the number of positive ratings by the total number of customers and multiply it by 100.

To determine "what proportion of" a group falls into a specific category, you divide the number of individuals in that category by the total number of individuals in the group. This will give you the proportion. For example, if you want to find the proportion of customers who prefer a certain brand out of the total number of customers surveyed, you divide the number of customers preferring that brand by the total number of customers.

By applying these calculations to the given data, you can provide accurate answers to questions regarding comparisons, percentages, and proportions.

Learn more about customers here: brainly.com/question/31192428

#SPJ11

Answer:

x = 22.5

Step-by-step explanation:

→ Remember how many degrees the point to a radius is

90°

→ Set up an equation

x + 3x = 90

→ Simplify

4x = 90

→ Divide both sides by 4

x = 22.5

The sample standard deviation is approximately 0.83.

Sample size \(($n$)\) = 36

Population mean \(($\mu$)\) = 50

Population standard deviation \(($\sigma$)\) = 5

The sample standard deviation, denoted as \($s$\) can be estimated using the formula:

\(\[ s = \sqrt{\frac{\sum_{i=1}^{n}(x_i - \bar{x})^2}{n-1}} \]\)

where:

\($x_i$\) represents the individual data points in the sample

\($\bar{x}$\) is the sample mean

In this case, since we don't have individual data points, we can use the population standard deviation as an estimate for the sample standard deviation when the sample size is relatively large (as in this case \($n = 36$\)). This approximation is known as the standard error of the mean.

Therefore, the sample standard deviation can be approximated as:

\(\[ s \approx \frac{\sigma}{\sqrt{n}} \]\)

Substituting the given values:

\(\[ s \approx \frac{5}{\sqrt{36}} = \frac{5}{6} \] = 0.83\)

Hence, the sample standard deviation is approximately 0.83.

Learn more about sample standard deviation: https://brainly.com/question/18567452
#SPJ11

Answer: 2.5 Degree of Polymerization

The degree of polymerization (DP or Xn) is defined as the number of monomer units in the polymer. It is calculated as the ratio of molecular weight of a polymer and molecular weight of the repeat unit. Number average DP and weight average DP are the two main types used for measuring the DP.

Step-by-step explanation:

Brainliest pls:)

In a case whereby Last school year the enrollment of Genoa Middle School was 465 students and this year the enrollment is 525, then The amount of change is 60 and the  percent of change is 13%, increase.

The percentage of change and percentage of increase be calculated below as:

The amount of change  can be calculated as ( 525-465)=60

Then the percentage of increase will be calculated as (60/465) =0.13= 13%.

Therefore, In a case whereby Last school year the enrollment of Genoa Middle School was 465 students and this year the enrollment is 525, then The amount of change is 60 and the  percent of change is 13%, increase.

Learn more about percentage of increase at https://brainly.com/question/668723

#SPJ1