if three consecutive vertices of parallelogram are A (-1,-3) B (4,2) C (-7,5) find the fourth vertex ​

Answer:

The center is (2,6) and the radius is 8

Step-by-step explanation:

The answer is center: (2,6); radius: 8

Answer:

  108 square feet

Step-by-step explanation:

When you say "triangular prism" it means the base is a triangle and the lateral faces are all rectangles. It doesn't matter which side is lying on the ground.

So, we see this is a triangular prism with a 3-4-5 right triangle as a base, and a "height" of 8 feet.

Its total surface area is the area of the two triangle bases plus the area of the three rectangular faces:

  A = 2(1/2)(4·3) +8(3 +4 +5) = 12 +96 = 108 . . . . . square feet

Answer:

its C

Step-by-step explanation:

Answer:

12, 13, 14, 15, 16

Step-by-step explanation:

Let the five consecutive integers be (x - 2), (x - 1), x, (x + 1) & (x + 2)

According to the given condition:

[tex](x - 2) + (x - 1) + x + (x + 1) + (x + 2) = 70 \\ 5x = 70 \\ x = \frac{70}{5} \\ x = 14 \\ \implies \\ (x - 2) = (14 - 2) = 12 \\ (x - 1) = (14 - 1) = 13 \\ x = 14 \\ (x + 1) = (14 + 1) = 15 \\ (x + 2) = (14 + 2) = 16\\ [/tex]

Answer:

Rewrite the division problem as -9/2 (4,3)

 the quotient: -6

Step-by-step explanation:

Answer:Simplifying

5(x + 2) = 3(x + 8)

Reorder the terms:

5(2 + x) = 3(x + 8)

(2 * 5 + x * 5) = 3(x + 8)

(10 + 5x) = 3(x + 8)

Reorder the terms:

10 + 5x = 3(8 + x)

10 + 5x = (8 * 3 + x * 3)

10 + 5x = (24 + 3x)

Solving

10 + 5x = 24 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

10 + 5x + -3x = 24 + 3x + -3x

Combine like terms: 5x + -3x = 2x

10 + 2x = 24 + 3x + -3x

Combine like terms: 3x + -3x = 0

10 + 2x = 24 + 0

10 + 2x = 24

Add '-10' to each side of the equation.

10 + -10 + 2x = 24 + -10

Combine like terms: 10 + -10 = 0

0 + 2x = 24 + -10

2x = 24 + -10

Combine like terms: 24 + -10 = 14

2x = 14

Divide each side by '2'.

x = 7

Simplifying

x = 7

Step-by-step explanation:

Answer:

D. (4x - 1)(4x + 1)​

Step-by-step explanation:

16 is a perfect square, with its two identical factors being 4. 1 is also a perfect square, with its two factors being 1, but in this case, it's a -1, so we need a positive 1 and a negative 1:

(4x + 1) (4x - 1)

Answer:

62%

Step-by-step explanation:

The proportion of those infected who are caucasian is is the number of caucasians infected divided by the total number of infected.

The percentage is the proportion multiplied by 100.

We have that:

641,628 caucasians

1,034,884 people infected

641,628/1,034,884 = 0.62

0.62*100 = 62%

Answer: You add 9 each time

Step-by-step explanation:

19 + 9 = 28 + 9 = 37 + 9 = 46 + 9 = 55

hope this helps mark me brainliest if it did

Answer:

Step-by-step explanation:

It is assumed the first winner is part of the second drawing as well

There are 4 people and two prizes

The probability of each person to win is 1/4

The first winner has 1/2 probability to get a mug

The second winner, if it is Jack, gets either prize

The combined probability is:

Answer:

The probability is 37.5%

Step-by-step explanation:

There are eight total outcomes, but we only need to focus on three. Ang winning a mug and Jack winning either a t-shirt or a mug, that makes three. Write that as a fraction: 3/8, and then divide. 3 divided by 8 gives us 0.375. But we need a percent so multiply that by 100, that now gives us 37.5.

So, the probability that either Ang wins and is given a mug, or Jack wins is 37.5%. If it makes you feel more confident in this, I put the same exact answer for my assessment and I got it correct.

Also, “The monks named me aOng.”

Answer:

1128cm

Step-by-step explanation:

The diagram of the problem is annotated and attached.

In the diagram, we are required to find the distance between Aliaa and the far corner, b.

In Triangle ABC

[tex]\angle A+\angle B+\angle C=180^\circ\\53^\circ+100^\circ+\angle C=180^\circ\\\angle C=180^\circ-153^\circ\\\angle C=27^\circ[/tex]

Using Law of Sines

[tex]\dfrac{b}{sin B} =\dfrac{c}{sin C} \\\dfrac{b}{sin 100} =\dfrac{520}{sin 27}\\b=(520 X sin 100)\div sin 27\\b=1127.997\\b\approx 1128$ cm (to the nearest centimeter.)[/tex]

Therefore, Aliaa should hit the ball a distance of 1128cm so that it lands perfectly in the far corner of the court.

x = amount (in L) of 0.04% solution

y = amount (in L) of 0.2% solution

x + y = 1

Each liter of p% salt solution contributes 0.01*p L of salt to the mixture. In the new solution, the lab tech wants to end up with a concentration of 0.12%, which comes out to 0.0012 * (1 L) = 0.0012 L of salt:

0.0004x + 0.002y = 0.0012

Solve for y in the first equation:

y = 1 - x

Substitute this into the other equation and solve for x, then y:

0.0004x + 0.002(1 - x) = 0.0012

0.0008 = 0.0016x

x = 0.5 L

y = 1 - 0.5 = 0.5 L

Answer:

0.83% probability that he actually typed them in alphabetical order.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The number of ways in which n terms can be arranged is given by:

[tex]A_{n} = n![/tex]

Desired outcomes:

Only one outcome in which the five entries are in alphabetical order, so [tex]D = 1[/tex].

Total outcomes:

We want to arrange 5 entries. So

[tex]T = A_{5} = 5! = 120[/tex]

Probability:

[tex]p = \frac{D}{T} = 0.0083[/tex]

0.83% probability that he actually typed them in alphabetical order.

Answer:

ok

Step-by-step explanation:

Answer:

As you say

Step-by-step explanation:

Answer: rectangular prism

Step-by-step explanation:

Answer:

Slope is -3, equation is y=-3x+b, where b can be any number but not 7.

Step-by-step explanation:

Parallel lines have the same slope, so the slope of a line parallel to this is also -3.

An example of a parallel line to this is y=-3x+2, or y=-3x-4.

Answer:

Step-by-step explanation:

Usually in a problem of this sort you must supply one point through which the new line passes; here you have not yet done that.    

Let's suppose that the new line, which is parallel to y=−3x+7, passes through the point (0, 2).  Remembering that parallel lines have the same slope, we

write the new line as y = mx + b and replace m with -3; we also replace x with 0 and y with 2:

2 = -3(0) + b.  Solving for b, we get b = 2.  Thus, the desired equation of the line parallel to y=−3x+7 and passing through (0, 2) is

y = -3x + 2

Answer: -18h^2 + 85h - 18

Step-by-step explanation:

(-2h+9)(9h-2)

Open brackets

(-2h x 9h) + (-2h x -2) + (9 x 9h) + (9 x -2)

-18h^2 + 4h + 81h - 18

Add like terms 4h + 81h

-18h^2 + 85h - 18

Answer:

The solution

[tex]Y (s) = 9( -1 +3 t + e^{-3 t} ) + 7 e ^{-3 t}[/tex]

Step-by-step explanation:

Explanation:-

Consider the initial value problem y′+3 y=9 t,y(0)=7

Step(i):-

Given differential problem

                           y′+3 y=9 t

Take the Laplace transform of both sides of the differential equation

                L( y′+3 y) = L(9 t)

 Using Formula Transform of derivatives

                L(y¹(t)) = s y⁻(s)-y(0)

   By using Laplace transform formula

              [tex]L(t) = \frac{1}{S^{2} }[/tex]

Step(ii):-

Given

             L( y′(t)) + 3 L (y(t)) = 9 L( t)

            [tex]s y^{-} (s) - y(0) + 3y^{-}(s) = \frac{9}{s^{2} }[/tex]

            [tex]s y^{-} (s) - 7 + 3y^{-}(s) = \frac{9}{s^{2} }[/tex]

Taking common y⁻(s) and simplification, we get

             [tex]( s + 3)y^{-}(s) = \frac{9}{s^{2} }+7[/tex]

             [tex]y^{-}(s) = \frac{9}{s^{2} (s+3}+\frac{7}{s+3}[/tex]

Step(iii):-

By using partial fractions , we get

[tex]\frac{9}{s^{2} (s+3} = \frac{A}{s} + \frac{B}{s^{2} } + \frac{C}{s+3}[/tex]

  [tex]\frac{9}{s^{2} (s+3} = \frac{As(s+3)+B(s+3)+Cs^{2} }{s^{2} (s+3)}[/tex]

 On simplification we get

  9 = A s(s+3) +B(s+3) +C(s²) ...(i)

 Put s =0 in equation(i)

   9 = B(0+3)

   B = 9/3 = 3

  Put s = -3 in equation(i)

  9 = C(-3)²

  C = 1

 Given Equation  9 = A s(s+3) +B(s+3) +C(s²) ...(i)

Comparing 'S²' coefficient on both sides, we get

  9 = A s²+3 A s +B(s)+3 B +C(s²)

  0 = A + C

put C=1 , becomes A = -1

[tex]\frac{9}{s^{2} (s+3} = \frac{-1}{s} + \frac{3}{s^{2} } + \frac{1}{s+3}[/tex]

Step(iv):-

[tex]y^{-}(s) = \frac{9}{s^{2} (s+3}+\frac{7}{s+3}[/tex]

[tex]y^{-}(s) =9( \frac{-1}{s} + \frac{3}{s^{2} } + \frac{1}{s+3}) + \frac{7}{s+3}[/tex]

Applying inverse Laplace transform on both sides

[tex]L^{-1} (y^{-}(s) ) =L^{-1} (9( \frac{-1}{s}) + L^{-1} (\frac{3}{s^{2} }) + L^{-1} (\frac{1}{s+3}) )+ L^{-1} (\frac{7}{s+3})[/tex]

By using inverse Laplace transform

[tex]L^{-1} (\frac{1}{s} ) =1[/tex]

[tex]L^{-1} (\frac{1}{s^{2} } ) = \frac{t}{1!}[/tex]

[tex]L^{-1} (\frac{1}{s+a} ) =e^{-at}[/tex]

Final answer:-

Now the solution , we get

[tex]Y (s) = 9( -1 +3 t + e^{-3 t} ) + 7 e ^{-3t}[/tex]

Answer:

square feet

Step-by-step explanation:

1/2 a feet is the full square is half

Answer:4 and 5

Step-by-step explanation:

√(20) is approximately 4.5 so it is between 4 and 5

Answer:

1 is B

2 is B

3 is D

4 is C

Step-by-step explanation:

Dont care enough to explain all of them

Answer:

The true statements are:

The cost of 9 magnets is $3.

The cost of 6 magnets is $2.

The cost of 3 magnets is $1.

Step-by-step explanation:

equivalents ratios are two or more ratios that express the same relationship between the numbers involved. In order to calculate the equivalent ratios that are equal, when the numbers involved are divided, they ought to give the same result. In the answer chosen above the ratios in each case are equivalent because:

if the cost of 9 magnets is $3;

9 magnets = $3

∴ 1 magnet = 3/9 = $ 1/3 = 1:3

if the cost of 6 magnets is $2;

6 magnets = $2

1 magnet = 2/6 = $1/3 = 1:3

if the cost of 3 magnets is $1;

3 magnets = $1

∴ 1 magnet = $ 1/3 = 1:3

From the answers obtained, the equivalent ratio of 1 : 3 is the same in all case.

Answer:

$3900.

Step-by-step explanation:

If retirement is taken at the age of 67 years, income  = $1300 per month.

% Loss, if retirement taken at the age of 62 years = 25% per month

Loss in dollars per month if retirement taken at the age of 62 years = 25% of Monthly income if retirement is taken at the age of 67 years

[tex]\Rightarrow \dfrac{25}{100} \times 1300\\\Rightarrow \dfrac{1300}{4}\\\Rightarrow 325 \$[/tex]

We know that there are 12 months in an year.

So, annual loss in total annual income over one year:

Loss in dollars per month [tex]\times[/tex] 12 :

325 [tex]\times[/tex] 12 = 3900$

Answer: $3,900

Step-by-step explanation:

What you usually make:

$1300 * 12 months = $15600

What you make with the cut:

$1300 * 0.75 = $975

* 12 months = $11700

15600-11700 = $3900

Answer:

it is d

Step-by-step explanation:

idk just brainlyest

Answer:

D...............

Step-by-step explanation:

Answer:

e = 10

Step-by-step explanation:

In this problem we are told to solve for e. This means we need to isolate the variable e, leaving it completely by itself on one side of the equation.

9e + 4 = -5e + 14 + 13e

We can do this multiple ways, but I will show you how I would do it.

First I would subtract 4 from both sides.

9e + 4 = -5e + 14 + 13e

9e = -5e + 14 + 13e - 4

We can simplify the right side of the equation down by subtracting four from 14.

9e = -5e + 10 + 13e

Next, let's simplify our algebraic expressions. We can subtract 5e from 13e (or add -5e to 13e whatever tickles your fancy)

-5e + 13e = 8e

9e = 8e + 10

Now we subtract algebraic expression 8e from both sides

9e - 8e = 10

All of our expressions with the variable e are now on one side but we aren't done yet. Compute 9e - 8e.

9e - 8e = 10

1e = 10

or

e = 10

We have isolated e! Our final answer is e = 10

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. Let μemployed(μ1) be the sample mean of students who are employed and μnot employed(μ2) be the sample mean of students who are not employed

The random variable is μ1 - μ2 = difference in the mean of the employed and unemployed students.

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 < μ2 H1 : μ1 - μ2 < 0

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(μ1 - μ2)/√(s1²/n1 + s2²/n2)

From the information given,

μ1 = 3.22

μ2 = 3.33

s1 = 0.475

s2 = 0.524

n1 = 172

n2 = 116

t = (3.22 - 3.33)/√(0.475²/172 + 0.524²/116)

t = - 1.81

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [0.475²/172 + 0.524²/116]²/[(1/172 - 1)(0.475²/172)² + (1/116 - 1)(0.524²/116)²] = 0.00001353363/0.00000005878

df = 230

We would determine the probability value from the t test calculator. It becomes

p value = 0.036

Since alpha, 0.05 > than the p value, 0.036, then we would reject the null hypothesis.

Therefore, at a 5% significant level, this information support the hypothesis that for students at this university, those who are not employed have a higher mean GPA than those who are employed

Answer:

  $51,862.50

Step-by-step explanation:

... the product of the number of shares and the price:

  (900)($57 5/8) = $51,862.50

Answer:

51 862.5

Step-by-step explanation:

If the share cost 57 5/8 per share

It means 900 share would cost

900 * 57 5/8

900 * 461/8 = 51 862.5

Answer: 5/11

Step-by-step explanation:

The probability of picking a dime is [tex]\frac{2}{11}[/tex].

The measure of happening or non-happening of the outcomes of a random experiment is called probability.

P(E) = Number of favorable outcomes/ total number of outcomes

Where,

P(E) is the probability of an event.

According to the given question.

Total number of quarters coins = 5

Total number of dimes coins = 2

Total number of pennies coins = 4

Therefore,

The total number of coins in a bag = 5 + 4 + 2 = 11

⇒ Total number of outcomes = 11

So, the probability of picking a dime coin is given by

P(E) = total number of dime coins/ total number of coins in a bag

⇒[tex]P(E) = \frac{2}{11}[/tex]

Hence, the probability of picking a dime is [tex]\frac{2}{11}[/tex].

Find out more information about probability here:

https://brainly.com/question/11234923

#SPJ3

Answer:

C. (x + 8) (x + 7)

Step-by-step explanation:

To factor this trinomial, you must split the middle term (15x) into two terms that can be added to get 15x, and multiplied to get 56:

[tex]x^2 + 15x + 56[/tex]

[tex]x^2 + 7x + 8x + 56[/tex]

Group:

[tex](x^2 + 7x) (8x + 56)[/tex]

Take out the GCF (Greatest Common Factor):

x(x + 7)  8(x + 7)

(x + 8) (x + 7)