The Perimeter of the scalene triangle is 54.6cm

Which equation can be
used to find the value of b if side a measures 8.7 cm?

a 8.7+b=54.6
b 17.4+ b = 54.6
c 26.1 + b = 54.6
d 34.8+b =54.6

Answer:

p > -2

Step-by-step explanation:

2p + 8p > -20

10p > -20

10/10p > -20/10

p > -2

p is greater than -2

Answer:

(-5,-25)  that is the image

Step-by-step explanation:

Answer:

85.0 Europe  

Step-by-step explanation:

He’ll get the prize of dollar 10000, then the consumption after adding dollar 1500 is:  $10000 + $1500 = $11500

a) the derive equation is 50000 + 10000 + x

jack has maximum amount of wealth = $50,000

When he participated in a jujitsu competition  then the prize amount = 10,000

Then we will take a variable x for derive the equation which will depend on that he will win and loose :

Here,

the equation is = 50000 + 10000 + x

b) His consumption after not purchasing medical insurance is $15000.

if, he does not purchase medical insurance  then he has no coverage of insurance and

He’ll lose the tournament and he’ll have to pay medical expenses dollar 5000 and also the prize amount $10000

So, his consumption after not purchasing medical insurance is:

$10000 + $5000 = $15000

c) when he will purchase medical insurance then his total consumption is $3500

his consumption if he purchase medical insurance, he will give dollar1 for medical insurance and will get in return dollar .3 ,

When he will have to pay for medical insurance $5000, then he’ll get the coverage on medical insurance:

0.3 * 5000 = $1500

Now, subtracting the amount of medical insurance which he’ll have to pay:

$5000 - $1500 = $3500

He’ll get the prize of dollar 10000, then the consumption after adding dollar 1500 is:

 $10000 + $1500 = $11500

learn more about of equation here :

brainly.com/question/27822778

#SPJ4

Answer:

x = 7

Step-by-step explanation:

the given angles are vertically opposite and are congruent , then

4x - 5 = x + 16 ( subtract x from both sides )

3x - 5 = 16 ( add 5 to both sides )

3x = 21 ( divide both sides by 3 )

x = 7

Answer:

The shorter side is 6.

The perimeter is 26.4 inches.

The area is 43.2 inches\(^{2}\)

Step-by-step explanation:

The ratio 5;6 and the given longer side is 7.2 in.

Since it is the longer side, the '6' in the ratio is 7.2 in.

Let x be the shorter side

5:6 = x : 7,2

Divide 7.2 to 6.

7.2 ÷ 6 = 1.2

Then multiply 1.2 to 5.

1.2 * 5 = 6

So the shorter side is 6.

L = 7.2

W = 6

Now to find the perimeter, let's use the formula

P = 2L + 2W

Let's put the values in the formula

P = 2(7.2) + 2(6)

P = 14. 4 + 12

P = 26.4

The perimeter is 26.4 inches

To find the area, let's use the formula

A = LW

A = (7.2)(6)

A = 43. 2 inches\(^{2}\)

Answer:

shorter side= 6

p= 26.4  

a= 43.2

Step-by-step explanation:

The values of b and a for the logarithmic function in this problem are given as follows:

The logarithmic function in the context of this problem has the format given as follows:

\(y = b\log_3{x + a}\)

The vertical asymptote is at x = -4, hence:

\(y = b\log_3{x - 4}\)

When x = 5, y = -1, hence the parameter b is obtained as follows:

\(-1 = b\log_3{5 - 4}\)

0.477b = -1

b = -1/0.477

b = -2.1.

More can be learned about logarithmic functions at https://brainly.com/question/24160402

#SPJ1

s ≤ $20,000 represents the yearly earnings (in dollars) of a student eligible for financial aid

An inequality is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions e.g 2x > 4

To represent the yearly earnings (in dollars) of a student eligible for financial aid using the variable s, you can write the following inequality:

s ≤ $20,000

This inequality states that the variable s, which represents the yearly earnings of a student, must be less than or equal to $20,000 in order for the student to be eligible for financial aid.

Learn more about inequality on:

brainly.com/question/25275758

#SPJ1

Answer:

B. 1/4T

Step-by-step explanation:

A student club started a fundraising effort to support animal rescue organizations. The club sent an information flyer home to the n students in the school. It says, "We welcome donations of any amount, including any change you could spare!" Their goal is to raise T dollars, and to donate to a cat shelter and a dog shelter.

What expression, equation, or inequality that describes The dollar amount the club would have if they reached one-fourth of their goal

A. 3/4n × 1/2

B. 1/4T

C. T - 1/4n

D. 1/4n

Their goal is to raise T dollars

The T dollars will be donated to a cat shelter and a dog shelter.

One - fourth = 1/4

Their goal =T

one-fourth of their goal

= 1/4 * T

= 1/4T

The correct answer is B. 1/4T

∫ 8 (x+a)(x+b) dx = (8/3)x³ + 4x²(a+b) + 8x(ab) + c

The antiderivative of 8 (x+a)(x+b) with respect to x is (8/3)x³ + 4x²(a+b) + 8x(ab) + c.

To evaluate the integral, we can use the distributive property to expand the expression in the integrand:

8 (x+a)(x+b) dx = 8(x² + (a+b)x + ab) dx

We can then integrate each term separately using the power rule of integration:

∫ 8(x² + (a+b)x + ab) dx = (8/3)x³ + 4(a+b)x² + 8abx + c

We can simplify this result by factoring out the constant 8/3 from the first term and using the distributive property to factor out the common factor of 4x from the last three terms:

(8/3)x³ + 4(a+b)x² + 8abx + c = (8/3)x³ + 4x²(a+b) + 8x(ab) + c

We can check our answer by taking the derivative of the result to see if it matches the original integrand. The derivative of (8/3)x³ is 8x², the derivative of 4x²(a+b) is 8x(a+b), the derivative of 8x(ab) is 8ab, and the derivative of the constant c is 0. Adding these terms together, we get the original integrand of 8(x+a)(x+b) dx, so our answer is correct.

Learn more about integral here: brainly.com/question/18125359

#SPJ4

Complete question:

Evaluate the integral. (assume a ≠ b. remember to use absolute values where appropriate. use c for the constant of integration.) 8 (x+a)(x+b) dx

Answer:

x ≥20

Step-by-step explanation:

Answer:

watxha doing

Step-by-step explanation:

Answer:

A. 2:17 p.m.

Step-by-step explanation:

7 minuets more than 10 minuets is 17.

Answer:

A 2:17

7 minutes plus 10 is 17 so it would be 2:17

The area of the sector formed by the arc of the circle is 14 square feet.

A sector of a circle is a pie-shaped section of a circle formed by the arc and its two radii. A sector is formed when a portion of the circle's circumference (as well known as an arc) and two radii cross paths at both endpoints of a arc. A sector of a circle has the shape of a pizza slice or even a pie.

Now, according to the question;

Length of a sector is estimated by the formula = ∅×r

where ∅ is the angle formed by sector in radians and r is the radius of the circle.

Thus,

∅ = Length of a sector/r

The radius is r = 7 ft

The value of length of a sector = 4 ft

∅ = 4/7

∅ = 0.57 radians

Now, estimate the area of the sector.

area of a sector = (∅/2)×r²

Substituting the values.

area of a sector = (4/7/2)×7²

                          = (4/14)×49

area of a sector = 14 ft²

Therefore, the area of the sector is calculated as 14  ft².

To know more about the sector of the circle, here

https://brainly.com/question/22972014

#SPJ4

The complete question is-

In a circle with a radius of 7 feet, the radian measure of the central angle subtended by an arc with a length of 4 feet is . The area of the sector formed by the arc is square feet. Assume π = 3.14, and round your answers to the nearest hundredth.

The future receipt is discounted at an interest rate of 12% and its present value is $210,018 in 7 years is the $520,000 received.

The formula for calculating present value is:

PV = FV / (1 + r)^n

Where:

PV = Present Value

FV = Future Value

r = Interest Rate

n = Number of years

Rearranging the formula to solve for 'n' (number of years):

n = log(FV / PV) / log(1 + r)

Plugging in the given values:

PV = $210,018

FV = $520,000

r = 12% or 0.12

n = log(520,000 / 210,018) / log(1 + 0.12)

Using a calculator, we can find the approximate value of 'n':

n ≈ 7.2 years

Therefore, in approximately 7.2 years, the $520,000 will be received. Rounding to the nearest whole number, the answer is (c) 7 years.

learn more about year from given link

https://brainly.com/question/10196617

#SPJ11

The square root x^4= x^2

For the probability density function, \(f(x) = \[ \begin{cases} \frac{10}{x²}& x ≥10 \\ 0 & x< 10\end{cases} \] \),

a) The probability that the device will last more than 20 hours is equals to \(= \frac{1}{2} \).

b) The cumulative distribution function (CDF) of X is \(F(x) = \[ \begin{cases} 1- \frac{10}{x}& x ≥10 \\ 0 & x< 10\end{cases} \]\).

c) The probability that of 6 such type of devices at least 3 will function at least 15 hours is equals to 0.31960.

d) The average lifetime of such type of device is infinity.

e) The expected value and variance is 1.25 and 2.066 respectively.

The probability density function is integrated to compute the cumulative distribution function. We have a probability density function (pdf) of X, for lifetime of a certain type of electronic device, \(f(x) = \[ \begin{cases} \frac{10}{x²}& x ≥10 \\ 0 & x< 10\end{cases} \]\).

We have answer the following questions,

a) The probability that the device will last more than 20 hours, P( X> 20) \(= \int_{20}^{\infty } \frac{ 10}{x²} dx\)

\(= [ \frac{- 10}{x} ]_{20}^{ \infty } \ \)

\(= [\frac{-10}{\infty}-\frac{(-10)}{20}]\)

\(= \frac{1}{2} \)

b) The cumulative distribution function (CDF) of X, is represented as, \(= \int_{10}^{x}\frac{10}{y²}dy\)

\(= - 10 [ \frac{ 1}{y} ]_{10}^{ x } \)

\(= [ \frac{ -10}{x } + \frac{10}{10} ]\)

\(= 1- \frac{ 10}{x } \)

\(F(x) = \[ \begin{cases} 1- \frac{10}{x}& x ≥10 \\ 0 & x< 10\end{cases} \]\).

c) The probability that of 6 such type of devices at least 3 will function at least 15 hours, \(P( X>15) = \int_{15}^{\infty} ( \frac{10}{x²}) dx\)

= \( \frac{2}{3}\)

Now, \(P( X ≥ 3) = P(X= 0) + P( X=1) + P( X = 2) + P( X = 3) \\ \)

\( = ⁶C₀( \frac{2}{3})⁰( \frac{2}{3})⁶+ ⁶C₁( \frac{2}{3})¹ (\frac{1}{3} )⁵ + ⁶C₂(\frac{2}{3})²(\frac{1}{3})⁴ +⁶C_3(\frac{2}{3})³(\frac{1}{3})³ \\ \)

= 0.001371 + 0.01646 + 0.08230 + 0.21947

= 0.31960

So, the probability is 0.31960.

d) the average lifetime of such type of device, \(E(X) = \int_{10}^{\infty} \frac{10}{x} dx\)

\(=10[ln(x) ]_{10}^{\infty}\)

\(=\infty\)

e) Let X be a random variable with pdf, f(x) = \(f(x) = \[ \begin{cases} \frac{ {x}^{2} }{3}& - 1 < x < 2 \\ 0 &otherwise\end{cases} \]\)

The expected value, \(E(X) = \int_{-1}^{2}\frac{x³}{3}dx\)

\(= [\frac{x⁴}{12}]_{-1}^{2} \)

= 1.25

The variance value of g(X) = 3−4X

\( {X^2}= \int\limits_{ - 1}^2 {\dfrac{{{x^4}}}{3}} dx = (\frac{x^5}{15})_{ - 1}^{2} \\ \)

= 2.066

For more information about probability density function, visit:

https://brainly.com/question/30717978

#SPJ4

Complete question :

The probability density function (pdf) of X, the lifetime of a certain type of electronic device (measured in hours), is given by f(x)=10/x2,

x≥10, 0, x <10.

a. Find the probability that the device will last more than 20 hours.

b. What is the cumulative distribution function (CDF) of X?

c. What is the probability that of 6 such type of devices at least 3 will function at least 15 hours?

d. What is the average lifetime of such type of device?

e. Let X be a random variable with pdf

f(x)=x2/3,−1<x<2, 0 otherwise

Find the expected value and variance of g(X)=3−4X

The value of "x" is the unknown number that, when multiplied by 12, gives a result of 72. By solving the equation, we find that the unknown number is 6.

Let's call the unknown number "x". The statement "When 12 is multiplied by a number, the result is 72" can be represented mathematically as:

12 * x = 72

This equation states that when we multiply 12 by the unknown number "x", we obtain a product of 72. To find the value of "x", we need to solve this equation.

To solve for "x", we can divide both sides of the equation by 12:

(12 * x) / 12 = 72 / 12

Simplifying, we have:

x = 6

Therefore, the equation that fits the given statement is:

12 * x = 72

Where "x" is equal to 6.

In this equation, the value of "x" is the unknown number that, when multiplied by 12, gives a result of 72. By solving the equation, we find that the unknown number is 6.

Learn more about equation here

https://brainly.com/question/17145398

#SPJ11

The left one is for 56 and the other one is for 55

Answer: B

Step-by-step explanation: Im Sorry if Im Incorrect Thats What I Think It Is :)

Answer:

I think Option A is your answer ☺️☺️☺️

Hi there! :)

Answer:

a = -9

Step-by-step explanation:

Starting with:

2/3a = -15 - a

Solve for 'a' by isolating the variable:

2/3a = -15 - a

On the right-hand side of the equal sign, make 'a' have a common denominator of 3 to make the simplifying easier:

2/3a = -15 - 3/3a

Add 3a/3 to both sides:

5/3a = -15

Divide both sides by 5/3, or multiply by its reciprocal (3/5)

5/3a(3/5) = -15(3/5)

a = -9

Answer:

No . Natural numbers are a subset of whole number. Negative numbers are entire numbers but not natural. And any set that contains it. For example, the set {1, 2.3, 2.236067977} or {-79000, pi, 2.236067977, sin(47)} or all real numbers, etc

Step-by-step explanation:

The total time taken to make combined 60 cookies by Larry and Mary is equal to 75.79 minutes.

Rate at which each person can make cookies

Time to make one batch of 3 cookies made by Larry = 8 minutes

⇒Number of cookies per minute = 3/8 cookies

Time to make one batch of 5 cookies made by Mary = 12 minutes

⇒Number of cookies per minute = 5/12 cookies

Combined rate at which they make cookies,

= 3/8 + 5/12

= 9/24 + 10/24

= 19/24 cookies per minute

Together they can make 19/24 cookies per minute.

To make a total of 60 cookies,

Let 't' be the time in minutes required to make 60 cookies.

⇒ (19/24) t = 60

⇒ t = (60)/(19/24)

⇒ t  = 75.79 minutes (rounded to two decimal places)

Therefore, total time taken by  Larry and Mary approximately 75.79 minutes to make a combined total of 60 cookies.

Learn more about time here

brainly.com/question/29275293

#SPJ4

Answer:

Y=x(600-x)

Step-by-step explanation:

How many trees?

500

Answer:

\(a_{n}\) = 7\(a_{n-1}\)

Step-by-step explanation:

A recursive formula allows a rem in the sequence to be found by multiplying the previous term by the common ratio r

For this sequence

r =  \(\frac{a_{2} }{a_{1} }\) = \(\frac{-21}{-3}\) = 7 , then recursive formula is

\(a_{n}\) = 7\(a_{n-1}\)

Answer:

a.Rs 191

b.Rs 285.5

c.total amount =Rs 422.6

return amount=500-422.6

=Rs 77.4

d.chicken momo and cold drink=210.25+40.50

=Rs 250.75

left amount=300-250.75

=Rs 49.25