Answer 5,6,&7 for brainliest and 20 points!!!

The congruence theorem that proves that △LON ≅ △LMN is: A. SSS congruence theorem

According to the SSS congruence theorem, if all three corresponding sides of two triangles are congruent, then both triangles are congruent.

here, we have,

In the image given, we have:

ON ≅ MN

LO ≅ LM

LN ≅ LN (reflexive property)

This means all three corresponding sides are congruent, therefore, the congruence theorem that proves both triangles are congruent is:

A. SSS.

Learn more about the SSS congruence theorem on:

brainly.com/question/2102943

#SPJ2

Inequality to show the shaded region in the graph:

x + 3y > -15

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Given equation of the line

x + 3y = -15

Shaded region is above the line

Which can be expressed as inequality

x + 3y > -15

Hence, x + 3y > -15 is the inequality to show the shaded region in the graph.

Learn more about inequality here:

https://brainly.com/question/30228778

#SPJ1

Answer:

Step-by-step explanation: The above answer is only partially right.  Due to the fact that the line with the arrows is solid, the sign is greater than or equal to.

So, the side with (0,0) is the side where x+3y>−15 and the shaded region (which contains (0,0)) shows the solutions of the inequality x+3y>−15.

Notice that since the boundary line is graphed with a solid line, the inequality includes the equal sign.

The graph shows the inequality x+3y≥−15.

Answer:

BELOW

Step-by-step explanation:

Assuming no compounding

 then interest = prt = 2000 * .1 * 30 = 6000

    add original deposit to get    8000 total at end of 30 years

Assuming annual compounding

   amount = 2000 ( 1+ .1)^30 = 34 898.80 dollars

     Which definitely shows the POWER of COMPOUNDING !

Tomando cocientes veremos que:

a) La probabilidad es 0.84

b) En este caso es 0.16

Primero queremos encontrar la probabilidad de que una bolsa tenga el peso correcto, la probabilidad esta dada por el cociente entre el numero de bolsas con el peso correcto y el numero total de bolsas analizadas, entonces tendremos:

P  = 2100/2500 = 0.84

b) Ahora lo mismo, pero con una bolsa de peso menor o mayor, tenemos:

125 que pesan mas

275 que pesan menos

Por un total de 125 + 275 = 400

Entonces la probabilidad es:

P = 400/2500 = 0.16

Aprende más sobre probabilidad en:

https://brainly.com/question/25870256

#SPJ1

La pregunta completa es:

En una empresa de papas fritas una máquina automática debe llenar las bolsas manteniendo una determinada cantidad de gramos, sin embargo, en algunas ocasiones los paquetes de papas pueden pesar más o menos del peso establecido. Se revisaron 2500 bolsas de los últimos días, en las cuales 2100 bolsas tuvieron el peso correcto, 275 tuvieron un peso menor y 125 tuvieron un peso mayor

a) ¿Cuál es la probabilidad de que tenga el peso correcto?

b) ¿Cuál es la probabilidad de que tenga un peso menor o mayor?​

Probability has values between 0 and 1.

What is the Probability?

The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.

0 represents an impossible event and 1 represents a certain event.

A probability of 0 means that an event will not occur, and a probability of 1 means that an event will certainly occur.

Probabilities between 0 and 1 represent the likelihood of an event occurring, with values closer to 1 indicating a higher likelihood of the event occurring and values closer to 0 indicating a lower likelihood.

Hence, Probability has values between 0 and 1.

To learn more about Probability visit,

https://brainly.com/question/24756209

#SPJ1

Digoxin has a half-life of 35 hours, so it takes 70 hours for the toxic plasma concentration to decline to a therapeutic plasma concentration of 2ng/ML.

Digoxin has a half-life of 35 hours, which means it takes 35 hours for the quantity of digoxin in the body to be decreased by half. The dangerous plasma concentration of 8ng/ML must be decreased to a therapeutic plasma concentration of 2ng/ML in this circumstance.

To calculate how long this will take, we need to use the formula:

Time = (Toxic Concentration - Therapeutic Concentration) / (0.5 x Half-Life)

Time = (8ng/ML - 2ng/ML) / (0.5 x 35hrs)

Time = 6ng/ML / (17.5hrs)

Time = 0.342hrs

Time = 70hrs

As a result, the dangerous plasma concentration of 8ng/ML will take 70 hours to decrease to a therapeutic plasma concentration of 2ng/ML.

To know more about digoxin, visit

brainly.com/question/15180878

#SPJ1

The answer is,

(iii) (3,-5), and (1,2) Slope of line [tex]$=\frac{y_2-y_1}{x_2-x_1}=\frac{2-(-5)}{1-3}=\frac{7}{-2}=\frac{-7}{2}$[/tex]

(i) (-3,2) and (1,4) Slope of line [tex]$=\frac{y_2-y_1}{x_2-x_1}=\frac{4-2}{1-(-3)}=\frac{2}{4}=\frac{1}{2}$[/tex]

(ii) [tex]$\left(a_1^2, 2 a_1\right)$[/tex] and [tex]$\left(a t_2^2, 2 a_2\right)$[/tex] Slope of line

[tex]& \frac{y_2-y_1}{x_2-x_1}=\frac{2 a t_2-2 a t_1}{a t_2^2-a t_1^2} \\[/tex]

[tex]& =\frac{2 a\left(t_2-t_1\right)}{a\left(t_2-t_1\right)\left(t_2+t_1\right)}=\frac{2}{t_2+t_1}[/tex]

(iii) (3,-5), and (1,2) Slope of line [tex]$=\frac{y_2-y_1}{x_2-x_1}=\frac{2-(-5)}{1-3}=\frac{7}{-2}=\frac{-7}{2}$[/tex]

The complete question is,

Find the slope of a line passing through the following points:

(i) (-3,2) and (1,4)

(ii) [tex]$\left(a t_1^2, 2 a_1\right)$[/tex]and [tex]$\left(a t_2^2, 2 \mathrm{at}_2\right)$[/tex]

(iii) (3,-5), and (1,2)

To learn more about slope refer to:

https://brainly.com/question/16949303

#SPJ1

Answer:

The statement Cov(aX + b, cW) = ac Cov(X,W) is true.

Step-by-step explanation:

Starting with the definition of covariance:

Cov(aX + b, cW) = E((aX + b) - E(aX + b))(cW - E(cW))

Using linearity of expectation:

Cov(aX + b, cW) = E(a(X - E(X)) + (b - E(b)))(c(W - E(W)))

Expanding and rearranging the product:

Cov(aX + b, cW) = acE(X - E(X))(W - E(W)) + E(b - E(b))E(c(W - E(W)))

Since the expectation of a constant is the constant itself and E(b - E(b)) = 0, the above expression simplifies to:

Cov(aX + b, cW) = ac Cov(X,W)

To calculate the proportion of the optimal risky portfolio that should be invested in stock A, we need to use the formula for a two-stock portfolio.

Let x be the proportion of the portfolio invested in stock A, then [tex](1 - x)[/tex]is the proportion invested in stock B.

The expected return of the portfolio,[tex]E(Rp)[/tex], can be calculated as:

[tex]E(Rp) = x * E(Ra) + (1 - x) * E(Rb)[/tex]

The standard deviation of the portfolio, σp, can be calculated as:

[tex]σp = sqrt(x^2 * σa^2 + (1 - x)^2 * σb^2 + 2x * (1 - x) * σa * σb * ρab)[/tex]

where σa is the standard deviation of stock A, [tex]σb[/tex] is the standard deviation of stock B, and [tex]ρab[/tex] is the correlation coefficient between the returns of A and B.

Substituting the given values, we get:

[tex]E(Rp) = x * 0.12 + (1 - x) * 0.08 = 0.1σp = sqrt(x^2 * 0.18^2 + (1 - x)^2 * 0.03^2 + 2x * (1-x) * 0.18 * 0.03 * 0.50)[/tex]

The optimal risky portfolio is the one that has the maximum Sharpe ratio, which is defined as:

Sharpe ratio =[tex](E(Rp) - Rf) / σp[/tex]

where Rf is the risk-free rate of return.

By equating the derivative of the Sharpe ratio to zero and solving for [tex]x[/tex], we can find the optimal proportion of the portfolio to be invested in stock A. So, the proportion of the optimal risky portfolio that should be invested in stock A is 56%.

To know more about standard deviation

brainly.com/question/23907081

#SPJ4

Youth unemployment rate change from April to July is 25%.

Youth labor force participation rate in July is 7.27%.

Rate of change is the speed at which the variables changes with respect to time.

From April to July​ 2015, the number of employed youth​ 16- to​ 24-years old rose by 2.1 million to 20.3 million

Youth unemployment increased from 2.1 million to 2.8 million.

In​ July, the youth labor force grew by 2.8 million to a total of 23.1 million.

Youth population was 38.5 million.

[tex]labor force rate =\frac{labor force}{adult population} *100[/tex]

                       = [tex]\frac{2.8}{38.5} *100[/tex] = 7.27%

[tex]unemployment rate = \frac{number of unemployment}{labor force} *100[/tex]

                              = [tex]\frac{2.8-2.1}{2.8} *100[/tex]=25%

Hence, youth unemployment rate change from April to July is 25%.

Youth labor force participation rate in July is 7.27%.

Learn more about Rate of change here:

https://brainly.com/question/16202639

#SPJ1

Answer:

6s

Step-by-step explanation:

2+2+3+S+9-10

first we can put these in different group to find out, like number to number, variable to variable. so it will be 2+3+2+9-10=6

second they only one s, so answer is 6s

i hope is helpful

On the basis of x-value at x = 0 function is left continuous  and at x = 2 function is continuous from left and right both.

Function 'f' is continuous from the right, or from the left, or neither:

x = 0 (smaller value )

[tex]\lim_{x \to 0-} f(x)[/tex]

= [tex]\lim_{x \to 0-}[/tex] ( 1 + x² )

= 1+ 0

= 1

[tex]\lim_{x \to 0+} f(x)[/tex]

= [tex]\lim_{x \to 0+}[/tex] ( 2 - x)

= 2 - 0

= 2

[tex]\lim_{x \to 0} f(x)[/tex]

= f(0)

= 1 + 0²

= 1

[tex]\lim_{x \to 0-} f(x)[/tex] = f(0)

It is left continuous.

x = 2 (larger value )

[tex]\lim_{x \to 2-} f(x)[/tex]

= [tex]\lim_{x \to 2-}[/tex] ( 2 - x )

= 2 - 2

= 0

[tex]\lim_{x \to 2+} f(x)[/tex]

= [tex]\lim_{x \to 2+}[/tex] ( x - 2)²

= ( 2- 2)²

= 0

[tex]\lim_{x \to 2} f(x)[/tex]

= f(2)

= 2 - 2

= 0

[tex]\lim_{x \to 2-} f(x) = \lim_{x \to 2+} f(x)[/tex] = f(2)

It is continuous from both right and left.

Therefore, the function is continuous from left at x= 1 and x = 2 it is continuous from both left and right side.            

The above question is incomplete ,the complete question is:

Find the x-value at which f is discontinuous and determine whether f is continuous from the right, or from the left, or neither.

f(x) = 1 + x² if x ≤ 0

        2 − x if 0 < x ≤ 2

        (x − 2)² if x > 2

x = (smaller value)

continuous from the right, or continuous from the left, or neither

x = (larger value)

continuous from the right, or continuous from the left, or neither.

Learn more about continuous here

brainly.com/question/24898810

#SPJ4

Answer:

below

Step-by-step explanation:

Need the diagram......

Answer: 55+ (8* M)

Step-by-step explanation: I think that's the answer

Answer:

observational study to see honestly but this is correct but I don't know the exact reason

The probability that a person surveyed gets the news by reading the paper, given that he or she is under 40 is 10%. The Option A is correct.

We are given that number of people who read paper and under 40 is 4 and number of people who are under 40 is 40.

We need to find the probability that a person surveyed gets the news by reading the paper given that he or she is under 40.

We will use the "Conditional probability": P (Person that read the paper given that he or she is under 40) is given by:

= P(read the paper and under age 40) / P(person who are under age 40)

= 4 / 40

= 0.1

= 10%

Full questions"A survey asked people of different ages whether they get their news by reading the paper. What is the probability that a person surveyed gets the news by reading the paper, given that he or she is under 40? If necessary, round your answer to the nearest percent. A.10% B.14% C.5% D.90%

Read more about probability

brainly.com/question/24756209

#SPJ1

Answer: Expanding the expression:

(2x * 2^+3) * (4x + 5) - 8x * (x^2^-2)

Start with the first set of parentheses:

2x * 2^+3 = 2x * 8 = 16x

Next, the second set of parentheses:

16x * (4x + 5) = 16x * 4x + 16x * 5 = 64x^2 + 80x

Finally, the third set:

-8x * (x^2^-2) = -8x * x^2^-2 = -8x * (1/x^2) = -8/x

So the final expanded form is:

64x^2 + 72x - 8/x

Step-by-step explanation:

Answer:

y= 3 y =0

Step-by-step explanation:

find the derivative

The linear speed of the bicycle is 20891.59 inches / min

The bike moving in 19.78 mph

As per the given data:

A bicycle with 20-in.-diameter wheels

Determine the speed that needs to be determined either angular or linear. Determine the given speed and radius.

Determining the linear speed is the task at hand. The indicated angular speed is 190 rpm.

To find the linear speed when the angular speed and the radius of the circular object are given, k revolutions per minute [tex]$ =\frac{k \text { revolutions }}{1 \text { minute }} \times \frac{2 \pi}{1 \text { revolution }} \\[/tex]

[tex]$=\frac{2 \pi k}{\text { minute }}[/tex]

For every cycle of the 7-inch sprocket, the 4-inch goes around

[tex]$\frac{7}{4}$[/tex] = 1.75 times.

Therefore 190 × 1.75+ π × 20 = 20891.59 inches / min

Therefore the linear speed of the bicycle is 20891.59 inches / min

Now, determine how fast the bike is moving in mph.

[tex]$\frac{20891.59}{12} \times \frac{60}{5280}$[/tex]

= 19.78 mph

Bike moving in 19.78 mph.

For more questions on linear speed

https://brainly.com/question/19568162

#SPJ4

A bicycle with 20-in.-diameter wheels has its gears set so that the chain has a 7-in. radius on the front sprocket and 4-in. radius on the rear sprocket. the cyclist pedals at 190 rpm.

Find the linear speed of the bicycle (correct to at least two decimal places) in/min

How fast is the bike moving in mph (to two decimal places)?

(b) The number of people to be selected from those who responded "yes" in the stratified random sample is 14.

(c) A statistical advantage of using the stratified random sample instead of the simple random sample is that it ensures a proportional representation of each stratum (in this case, "yes" and "no" responses) in the sample, reducing the risk of bias and increasing the accuracy of the results.

The calculation is determined by dividing the total number of samples (20) by the number of strata (2) plus 1, then multiplying by the number of samples for each stratum. The result of 20 / (2 + 1) * 2 is

20 / 3 * 2

= 40 / 3

= approximately 13.33, which is rounded up to 14 people.

In a simple random sample, the individuals selected may not accurately reflect the proportions of the two responses in the population. This can result in incorrect conclusions and decision-making. With the stratified random sample, the proportions of "yes" and "no" responses in the sample are maintained, providing a more accurate representation of the population.

Additionally, stratified random sampling allows for separate analysis of each stratum, which can provide additional insights into the population. Overall, stratified random sampling is a more robust method for obtaining accurate and representative results in a survey setting.

Learn more about simple random samples here:

https://brainly.com/question/13219833

#SPJ4

If you read the decimal version of 4.8 out loud, it should be "four and eight-tenths."  This will always give you a good place to start when changing a decimal into an equivalent fraction.

Now, this is a mixed number: 4 and 8/10. To further simplify it as a mixed number, we can leave the 4 alone and reduce the fraction (8/10).  Both the numerator and denominator are divisible by 2, so we can conclude (8/10) = (4/5).  A correct answer in mixed number form is 4 and (4/5).

However, to change 4 and (4/5) to a single (improper) fraction, you first multiply the denominator (5) by the large number out front on the left (4) and ADD this product to the numerator (4).  This number is your new numerator and it will still have the same denominator as before.

Here, 4 and (4/5) = [(5)*(4) + 4]/5 = (20+4)/5 = 24/5.

24 and 5 have no common factors, so this fraction is already in reduced form.

4.8 = 4 8/10 = 4 4/5

Answer:

Step-by-step explanation:

Harry winston dillan paul

[tex]-\sqrt{9y^2} = -1\cdot \sqrt{9}\cdot \sqrt{y^2}[/tex]

I assume you're good with [tex]\sqrt{9}=3[/tex], so this gives us:

          [tex]= -3\cdot \sqrt{y^2}[/tex]

Now the trick on the variable portion is that since y<0, when you square y, you turn it from being a negative number into a positive [tex]y^2[/tex] value.  And when you take the square root of that, you keep the positive value.  So effectively, [tex]\sqrt{y^2} = |y|[/tex], since it just makes the negative number become positive.

          [tex]= -3|y|[/tex]

On using the formula for compound interest the amount of time it will take until the account of Gracie has a balance of $0 is 4 years.

What is Compound Interest?

The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest. Compound interest is commonly abbreviated C.I. in mathematics.

The initial deposit made by Gracie is P = $30,000

The rate at which the interest is earned r = 3.1% = 3.1/100 = 0.031

The withdrawal amount is W = $150

The number of times interest is compounded n = 52 weeks

The formula for compound interest becomes -

P = W[1 - {1 + (r/n)}^(-nt)] / (r/n)

Substitute the values into the equation -

30000 = 150[1 - {1 + (0.031/52)}^(-52)t] / (0.031/52)

Divide both sides with 150 and simplify -

200 = [1 - ({1 + 0.00059}^(-52)t)]/0.00059

200 = [1 - (1.00059)^(-52)t)]/0.00059

Multiply both sides with 0.00059 -

0.118 = 1 - (1.00059)^(-52)t

(1.00059)^(-52)t = 1 - 0.118

(1.00059)^(-52)t = 0.882

Using one to one property, and power property -

-52t log 1.00059 = log 0.882

t = (log 0.882/log 1.00059) / -52

t = (-0.0545/0.000256) / -52

t = -212.890625/ -52

t = 4.09 ≈ 4

Therefore, the time value is obtained as 4 years.

To learn more about compound interest from the given link

https://brainly.com/question/28020457

#SPJ1

Answer:

ggggghhytyhhh

Step-by-step explanation:

ghdhb

Each person get 4/5 of the e leftover bag of beads.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.

From the question,

The total number of leftover beads is 1/5

4 people are to share the leftover beads

so,

the ratio will be 1/5 ÷ 1/4

1/5 x 4

=4/5

Hence, each person will get 4/5 of the beads

Learn more about ratio at:https://brainly.com/question/2914376

#SPJ1

Original loan amount was 270,384 and if paid a total of 360,000 then the interest rate of loan is, 6.6%

Simple interest is an amount which is calculated for a certain period of time and for a certain rate, in simple interest calculation there are three factors which we consider: principal amount(P), rate(R) and time(T).

Every time we calculate simple interest the principal values will be the same unlike compound interest.

Formula;    Simple Interest(I) =  P × R × T/100

Given that,

Original loan amount = 270,384

Total amount paid = 360,000

Interest  = 89616

Suppose, time duration = 5 years

Interest rate = ?

I =  P × R × T/100

89616 = (270,384 x R x 5)/100

R = 6.62

Hence, the interest rate is 6.6 %

To know more about Interest check:

brainly.com/question/29480777

#SPJ1

The required interest paid against the loan of the Original loan amount was 270,384.

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan.

Amount = Principal [1 + rate×time]

Here,
The original loan amount was 270,384 you paid a total of 360,000.
Interest paid can be evaluated by subtraction of the original amount from the paid amount,
interest paid =  paid amount - the original amount
interest paid = 360,000 - 270,384
interest paid = 89,616

Thus, the required interest paid against the loan of the Original loan amount was 270,384.

Learn more about simple interests here:

https://brainly.com/question/26457073

#SPJ1