Find the area of a triangle with the given vertices.

Part I: Graph the following points on the coordinate grid below.
(1, -3), (3, -1), (5, -3)

Part II: Find the area of the triangle. Show your work.

Answer:

Coefficient of determination = 0.149769  

Step-by-step explanation:

We are given the following in the question:

Coefficient of correlation, r = -0.387

We have to find the coefficient of determination.

Coefficient of determination =

[tex]r^2 = (-0.387)^2 = 0.149769 = 14.98\%[/tex]

Coefficient of determination:

Answer:

Step-by-step explanation:

Let x represent the amount invested at 6.25%. Then the total interest earned is ...

  0.0625x + 0.0600(150,000 -x) = 9212.50

  0.0025x = 212.50 . . . . . . subtract 9000, collect terms

  x = 212.50/0.0025 = 85,000

  150,000 - 85,000 = 65,000 . . . . amount invested at the lower rate

$85,000 is invested at 6.25%; $65,000 is invested at 6%.

Answer:

Step-by-step explanation:

25 gallons of milk for $56

We would need to determine the unit rate for a gallon of milk in this particular store.

If 25 gallons of milk for $56

Then 1 gallon of milk would cost

56/25 = 2.24

Target sells 15 gallons of milk for 32.05 dollars

We would also to determine the unit rate for a gallon of milk in this particular store.

If 15 gallons of milk for $32.05

Then 1 gallon of milk would cost

32.05/15 = 2.137

The unit cost of a gallon of milk at target provides a better deal because it has a lower unit cost than the other

Answer:

  5 mph

Step-by-step explanation:

The relation between speed, distance, and time is ...

  speed = distance/time

Filling in the given values, we find the speed to be ...

  speed = (1/4 mi)/(1/20 h) = (1/4)(20/1) mi/h = 5 mi/h

Elena's speed is 5 miles per hour.

Answer:

-1.2

Step-by-step explanation:

Given that the designer also programs a bird with a path that can be modeled by a quadratic function.

The bird starts at the vertex of the path at (0, 20) and passes through the point (10, 8).

If we treat this curve as line joining these two points then we can find the slope by the formula

Slope = change in y coordinate/change in x coordinate

Here the points given are

(0,20) and (10,8)

[tex]Change in y coordinate = 8-20 = -12\\Change in x coordinate = 10-0 = 10\\Slope = -1.2[/tex]

Slope of the line that represents the turtle's path

=-1.2

Answer: 0.8

Step-by-step explanation: i got it right on edg

second part to the question is

h= 0

k= 20

a= -0.12

third part is letter B

Answer:

Step-by-step explanation:

In general, wherever a function is tending from the upper left to the lower right, it is decreasing; wherever a function is tending from the lower left to the upper right it is increasing.  Constant functions are horizontal lines.

Our function is tending from upper left to lower right on negative infinity to an x-value of -4.  Then it runs as a horizontal line from x values of -4 to +4.  Then it tends from lower left to upper right from +4 to infinity.

Answer:

5y = -× + c

Step-by-step explanation:

If two lines are perpendicular, the product of their gradient equals -1.

We should note that the general equation of a line is y = mx + c, where m is the gradient.

For the line y = 5x - 2 , the slope is 5. The line that will be perpendicular to this line will have a slope of -1/5.

A line like 5y = -x + c fits the description

Standard deviation = √(n * p * q)

You are given n and p

q = 1 - p

q = 1 -0.2 = 0.8

Standard deviation = √(21 * 0.2 * 0.8)

=√3.36 = 1.83

The answer is A.

The standard deviation for a given binomial distribution [tex]n[/tex] and [tex]p[/tex] would be the following:

[tex]\sigma=\sqrt{n \times p \times q}[/tex]

The variable [tex]q[/tex] is equivalent to [tex](p-1)[/tex]

[tex]=\sqrt{n\times p\times(p-1)}[/tex]

Substitute the values of [tex]p[/tex] and [tex]n[/tex] into the equation

[tex]=\sqrt{21\times0.2\times(1-0.2)}[/tex]

[tex]=\sqrt{21\times0.2\times0.8}[/tex]

Use a calculator to solve for this square root since it would be too hard and complicated to do by hand

[tex]=1.83303027798...[/tex]

Round this to the nearest hundredths place since all answer choices are rounded like that

[tex]=1.83[/tex]

Thus, the answer is choice A. Let me know if you need any clarifications, thanks!

~ Padoru

The researcher's prediction of an interaction between training and gender is true. An interaction occurs when the effect of one variable on an outcome depends on the level of another variable.

The researcher's prediction of an interaction between training and gender is True.

An interaction occurs when the effect of one variable on an outcome depends on the level of another variable. In this case, the researcher predicts that the training course will have a different effect on females compared to males.

For example, if the researcher conducts a study where both males and females participate in the training course, and finds that females benefit significantly from the course while males do not, this would support the researcher's prediction of an interaction between training and gender.

Answer:

First  quartile  list of number median is 23

Step-by-step explanation:

List of numbers = 42,24, 30 , 22 , 26, 19, 33, 35

Arrange them in a sequence:

List of numbers = 19, 22, 24, 26, 30, 33, 35, 42

The median of {19, 22, 24, 26, 30, 33, 35, 42} is= 26+30/2 = 28

Numbers that are less than the median are { 19 , 22 , 24 , 26}

then

median of the list = 22+24/2 = 23

So the first  quartile  list of number median is 23.

The median of the first quartile list is 23.

The given set of numbers {42, 24, 30, 22, 26, 19, 33, 35} can be arranged in ascending order as follows:

{19, 22, 24, 26, 30, 33, 35, 42}.

The median of this sequence is calculated as (26 + 30) / 2, resulting in 28.

The numbers less than the median are {19, 22, 24, 26}.

Next, the median of this subset is found by taking (22 + 24) / 2, yielding 23. Therefore, the median of the first quartile list is 23.

for such more question on median

https://brainly.com/question/26177250

#SPJ6

Answer:

176 199 pounds

Step-by-step explanation:

To answer this it is first useful to find the proportionality constant.

F= kx

8080 pounds = k.88 in

k = 91.81 pound/inch

So what force is required to stretch the spring to 1919 inches?

F = kx

  = 91.81 pound/inch * 1919 inches

  = 176 199 pounds

It is worth noting that this force seems rather large and the spring might have long reached its elastic limit

Answer:

The proof is completed below

Step-by-step explanation:

1) Definition of info given

We have the function that we want to maximize given by (1)

[tex]P(L,K)=bL^{\alpha}K^{1-\alpha}[/tex]   (1)

And the constraint is given by [tex]mL+nK=p[/tex]

2) Methodology to solve the problem

On this case in order to maximize the function on equation (1) we need to calculate the partial derivates respect to L and K, since we have two variables.

Then we can use the method of Lagrange multipliers and solve a system of equations. Since that is the appropiate method when we want to maximize a function with more than 1 variable.

The final step will be obtain the values K and L that maximizes the function

3) Calculate the partial derivates

Computing the derivates respect to L and K produce this:

[tex]\frac{dP}{dL}=b\alphaL^{\alpha-1}K^{1-\alpha}[/tex]

[tex]\frac{dP}{dK}=b(1-\alpha)L^{\alpha}K^{-\alpha}[/tex]

4) Apply the method of lagrange multipliers

Using this method we have this system of equations:

[tex]\frac{dP}{dL}=\lambda m[/tex]

[tex]\frac{dP}{dK}=\lambda n[/tex]

[tex]mL+nK=p[/tex]

And replacing what we got for the partial derivates we got:

[tex]b\alphaL^{\alpha-1}K^{1-\alpha}=\lambda m[/tex]   (2)

[tex]b(1-\alpha)L^{\alpha}K^{-\alpha}=\lambda n[/tex]   (3)

[tex]mL+nK=p[/tex]   (4)

Now we can cancel the Lagrange multiplier [tex]\lambda[/tex] with equations (2) and (3), dividing these equations:

[tex]\frac{\lambda m}{\lambda n}=\frac{b\alphaL^{\alpha-1}K^{1-\alpha}}{b(1-\alpha)L^{\alpha}K^{-\alpha}}[/tex]   (4)

And simplyfing equation (4) we got:

[tex]\frac{m}{n}=\frac{\alpha K}{(1-\alpha)L}[/tex]   (5)

4) Solve for L and K

We can cross multiply equation (5) and we got

[tex]\alpha Kn=m(1-\alpha)L[/tex]

And we can set up this last equation equal to 0

[tex]m(1-\alpha)L-\alpha Kn=0[/tex]   (6)

Now we can set up the following system of equations:

[tex]mL+nK=p[/tex]   (a)

[tex]m(1-\alpha)L-\alpha Kn=0[/tex]   (b)

We can mutltiply the equation (a) by [tex]\alpha[/tex] on both sides and add the result to equation (b) and we got:

[tex]Lm=\alpha p[/tex]

And we can solve for L on this case:

[tex]L=\frac{\alpha p}{m}[/tex]

And now in order to obtain K we can replace the result obtained for L into equations (a) or (b), replacing into equation (a)

[tex]m(\frac{\alpha P}{m})+nK=p[/tex]

[tex]\alpha P +nK=P[/tex]

[tex]nK=P(1-\alpha)[/tex]

[tex]K=\frac{P(1-\alpha)}{n}[/tex]

With this we have completed the proof.

The Answer is C) Inches

Answer:

  a_n = 2^n + 3

Step-by-step explanation:

The first differences have a geometric progression, so the explicit definition will be an exponential function. (It cannot be modeled by a linear or quadratic function.) The above answer is the only choice that is an exponential function.

__

First differences are ...

  (7-5=)2, 4, 8, 16

Answer: [tex]a_n = 2^n + 3\ \ \ \, n=1,2,3,4,5...[/tex]

Step-by-step explanation:

The given sequence = 5, 7, 11, 19, 35,....

[tex]7-5=2\\11-7=4=2^2\\19-11=8=2^3\\35-19=16=2^4[/tex]

Here , it cam be observe that the difference between the terms is not common but can be expressed as power of 2.

We can write the terms of the sequence as

[tex]2^1+3=5\\2^2+3=4+3=7\\2^3+3=8+3=11\\2^4+3=16+3=19\\2^5+3=32+3=35[/tex]

Then , the required explicit definition that defines the sequence will be

[tex]a_n = 2^n + 3\ \ \ \, n=1,2,3,4,5...[/tex]

Answer:

The answer to your question is  x - 5 or x = 5

Step-by-step explanation:

                                           [tex]\frac{x^{2} -3x - 10}{x + 2}[/tex]

1.- Factor the numerator

                                       x² - 3x - 10

    find 2 numbers that added equal -3 and multiply equal -10.

    These numbers are -5 and + 2

                                     (x - 5)(x + 2)

2.- Simplify

                                     [tex]\frac{(x - 5)(x + 2)}{x + 2)}[/tex]

Delete (x +2) in both numerator and denominator

3.- Result                       x - 5

                                      x = 5

Answer:

f(c) = 3c + 5

Step-by-step explanation:

c is independent variable, p is dependent variable, so p = f(c)

6c = 2p -10

3c = p - 5

p = 3c + 5

f(c) = 3c + 5

Answer:

F(c) = 3c +5  

Step-by-step explanation:

6c=2p-10

If c is considered to be as the independent variable, then p is the dependent variable

So we will clear and solve for variable p

6c = 2p-10

Dividing both sides by 2. We will have  

6c/2 = 2(p-5)/2

3c= p-5  

Adding 5 on both sides

3c+5= p

So p =3c+5

By writing the above equation in the functional notation form  

F(c) = 3c +5  

Answer:

x-intercepts: -2; 1; 5

Average rate of change: 1.8

Step-by-step explanation:

x- intercepts as per graph are:

Average rate of change over the interval (-1, 4) is:

The radius of the bowl R as a function of the angle theta is [tex]\mathrm{R}=\frac{3}{1-\sin \theta}[/tex]

Solution:

The figure is attached below

If we consider the centre of hemisphere be A

The radius be AC and AD

According to question,  

A bowl in the shape of a hemispere is filled with water to a depth h=3 inches .i.e. BC = h = 3 inches

And radius of the bowl is R inches .i.e. R = AD =AC

Now , using  trigonometric identities in triangle ABD we get

[tex]\sin \theta=\frac{\text { Perpendicular }}{\text { Hypotenuse }}=\frac{A B}{A D}[/tex]

[tex]\begin{array}{l}{\sin \theta=\frac{A B}{R}} \\\\ {A B=R \sin \theta}\end{array}[/tex]

Since , AC = AB + BC

R = R Sinθ + 3

R - R Sinθ = 3

R (1 – Sinθ ) = 3

[tex]\mathrm{R}=\frac{3}{1-\sin \theta}[/tex]

Which is the required expression for the radius of the bowl R as a function of the angle theta

Using the Poisson distribution to determine the probability that a page contains exactly 2 errors is 0.0163

Given that, a book contains 400 pages.

There are 80 typing errors randomly distributed throughout the book,

We have to use the Poisson distribution to determine the probability that a page contains exactly 2 errors.

The Poisson distribution formula is given as:

[tex]\text { Probability distribution }=e^{-\lambda} \frac{\lambda^{k}}{k !}[/tex]

Where, [tex]\lambda[/tex] is event rate of distribution. For observing k events.

[tex]\text { Here rate of distribution } \lambda=\frac{\text { go mistakes }}{400 \text { pages }}=\frac{1}{5}[/tex]

And, k = 2 errors.

[tex]\begin{array}{l}{\text { Then, } \mathrm{p}(2)=e^{-\frac{1}{5}} \times \frac{\frac{1}{5}}{2 !}} \\\\ {=2.7^{-\frac{1}{5}} \times \frac{\frac{1}{5^{2}}}{2 \times 1}} \\\\ {=\frac{1}{2.7^{\frac{1}{5}}} \times \frac{\frac{1}{25}}{2}}\end{array}[/tex]

[tex]\begin{array}{l}{=\frac{1}{\sqrt[5]{2.7}} \times \frac{1}{25} \times \frac{1}{2}} \\\\ {=\frac{1}{50 \sqrt[5]{2.7}}} \\\\ {=0.0163}\end{array}[/tex]

Hence, the probability is 0.0163

Answer:

Answer is

=950

Answer:

65

Step-by-step explanation:

Answer:

A. decreases if banks increase their desired reserve ratio

Step-by-step explanation:

Since, the money multiplier is the amount of money produced by banks with each dollar of reserves,

In other words,

It estimates, how an initial deposit can lead to a bigger final increase in the total money supply.

For example :

If a commercial bank gains deposits of 1 crore and this leads to a final money supply of 10 crore, the money multiplier would be 10.

That is,

[tex]\text{Money multipliers}=\frac{1}{\text{Reserve ratio}}[/tex]

[tex]\implies \text{Money multipliers}\propto \frac{1}{\text{Reserve ratio}}[/tex]

Therefore, the money multiplier decreases if banks increase their desired reserve ratio

The money multiplier decreases when banks increase their desired reserve ratio, as they lend out less money, reducing the multiplier effect.

The money multiplier is a key concept in understanding how the banking system can increase the money supply within an economy. It is defined as the quantity of money that the banking system is able to generate from each dollar of bank reserves. The question relates the behavior of the money multiplier in response to changes in the reserve ratio and the currency drain ratio.

Answering the student's query, the money multiplier decreases if banks increase their desired reserve ratio because as they keep more reserves relative to deposits, they can lend out less money, effectively reducing the multiplier effect. Conversely, when banks decrease their reserve ratio, they can lend out a larger proportion of their deposits, which leads to an increase in the money multiplier. Therefore, the correct option is A: decreases if banks increase their desired reserve ratio.

Answer:

Pounds of apple to be used for a pie = 3 lb

Step-by-step explanation:

Given the bag contains apples weighting  = 5 lb

To make a pie [tex]\frac{3}{5}[/tex] of the apples in the bag is used.

To find the pounds of apples to be used to make a pie we will have to find the  [tex]\frac{3}{5}[/tex]th part of 5 lb of apples.

In order to do that we multiply the fraction to the total weight of apples.

Pounds of apple to be used to make a pie

⇒ [tex]\frac{3}{5}\ of\ total\ pounds\ of\ apple[/tex]

⇒ [tex]\frac{3}{5}\times 5[/tex]

⇒ [tex]3[/tex]

∴ Pounds of apple to be used for a pie = 3 lb

Answer: 2.33, 1.87, 3.6, 7.1

Step-by-step explanation:

2.33, 1.87, 3.6, 7.1 is not arranged from smallest to the largest. Arranging the number will be 1.87, 2.33, 3.6, 7.1.

Answer:

B. 2.33, 1.87, 3.6, 7.1

Step-by-step explanation:

This option is not in order from smallest to largest.

Hope it helped!

Answer:

d) 4(s + 4.5) and (s + 4.5) + (s + 4.5) + (s + 4.5) + (s + 4.5)

Step-by-step explanation:

since  you know that one side is (s+4.5) and a square has 4 congruent sides the answer would be 4(s + 4.5) and (s + 4.5) + (s + 4.5) + (s + 4.5) + (s + 4.5)

Answer:

The correct answer is D

Step-by-step explanation:

Step one :

The perimeter of a square is the sum of all four sides given a side as

(s+4.5)+(s+4.5)+(s+4.5)+(s+4.5)

Or

Step 2:

(s+4.5)+(s+4.5)+(s+4.5)+(s+4.5)

Opening bracket we have

s+4.5+s+4.5+s+4.5+s+4.5

Summing all "s'" terms

(4s+18)

4(s+4.5)

Divide the total cards by 18:

236 / 18 = 13.111

Use the whole number and multiply by 18:

13 x 18 = 234

This means 234 cards would be in storage boxes.

236 - 234 = 2 cards would be left over.

To find the maximum value of f(x) = xa(1−x)b, use calculus to find the derivative of f(x), set it equal to 0, and solve for x to find the critical points. Evaluate f(x) at the critical points and the endpoints of the interval to find the maximum value.

To find the maximum value of f(x) = xa(1−x)b, we can use calculus. First, find the derivative of f(x) with respect to x: f'(x) = a(1 - x)b - bx(1 - x)b-1. Set the derivative to 0 and solve for x to find the critical points. The maximum value of f(x) occurs at one of these critical points or at the endpoints of the interval [0, 1]. Plug the values of x into f(x) to find the corresponding maximum values.

https://brainly.com/question/33560599

#SPJ12

To find the maximum value of f(x)=xa(1−x)b, where a and b are positive numbers and 0≤x≤1, we need to find the critical points by finding when the derivative of the function is equal to zero or does not exist. Then, we evaluate the function at the critical points and the endpoints to determine the maximum value.

To find the maximum value of the function f(x)=xa(1−x)b, where a and b are positive numbers and 0≤x≤1, we need to determine when the function reaches its maximum. This can be done by finding the critical points, which occur when the derivative of the function is equal to zero or does not exist.

First, let's find the derivative of f(x):

f'(x) = a(1-x)^{b-1}(bx - (b-1)x -1).

To find the critical points, we set f'(x) = 0 and solve for x.

Solving the equation, we find that the critical point occurs when x = \frac{b}{2b-1}.

Next, we evaluate f(x) at the critical point x = \frac{b}{2b-1} and also at the endpoints x = 0 and x = 1. The maximum value of f(x) will be the largest value among these.

Finally, we compare the values to find the maximum value.

https://brainly.com/question/5722003

#SPJ11

Answer:2097

Step-by-step explanation: it is that it the answer plz trust me

ADD me on fortnite @RaZrtNZT

The value of x in the given triangle is equal to 2097 ft by calculating through trigonometric ratios.

These are ratios which are expressed as the ratio of sides of a right angled triangle.

In the given triangle the hypotenuse is 3750 and x is the perpendicular of the triangle.

We have to use sin to calculate because it expresses the ratio of perpendicular and hypotenuse.

sin34°=x/3750

0.5591=x/3750

x=  2096.625

x=2097 approx.

Hence the value of x in the given right angled triangle is 2097 ft.

Learn more about trigonometric ratios at https://brainly.com/question/24349828

#SPJ2

To pay off a $8500 credit card balance with a 15.99% APR in 3 years, you would need to make monthly payments of approximately $293.12.

To determine the monthly payment needed to pay off a credit card balance of $8500 with an APR of 15.99% in 3 years, you can use the formula for calculating monthly payments on a fixed-rate loan. The formula is:

[tex]\[ M = P \times \frac{r(1+r)^n}{(1+r)^n-1} \][/tex]

where:

- [tex]\( M \)[/tex] is the monthly payment,

- [tex]\( P \)[/tex] is the principal balance (credit card balance),

- [tex]\( r \)[/tex] is the monthly interest rate (annual interest rate divided by 12 and converted to decimal),

- [tex]\( n \)[/tex] is the total number of payments (number of months).

First, convert the annual interest rate to a decimal: [tex]\( 15.99\% = 0.1599 \).[/tex]

Next, calculate the monthly interest rate: [tex]\( r = 0.1599 / 12 = 0.013325 \).[/tex]

Now, plug in the values into the formula:

[tex]\[ M = 8500 \times \frac{0.013325(1+0.013325)^{3 \times 12}}{(1+0.013325)^{3 \times 12}-1} \][/tex]

After performing the calculations, the monthly payment [tex](\( M \))[/tex] is approximately $293.12.