Based on the diagram below, which is notdrawn to scale, which two lines are parallel?a65°110°70°b115°Line ais parallel toLine c:: Line b:: Lined:: Line e

Answer:

The answer is 2.11~! I hope I helped <3

Step-by-step explanation:

3.5x2=7   7+9=16   1.4x2=2.8   10.4-2.8=7.6   16/7.6=2.10526315789

but we simplify so, 2.10526315789 rounded to the nearest hundredth is 2.11~!

Answer:

2.11

Step-by-step explanation:

I got it correct on the test

Answer:

When f(x) equals 17, x is equal to 8.

Step-by-step explanation:

\(f(x) = 3x - 7\\17 = 3x - 7\\3x = 17 + 7\\3x = 24\\x = 24/3\\x = 8\)

Answer:

the middle 50% of most lengths of pregnancies ranges between 255.62 days and 274.38 days

Step-by-step explanation:

Given that :

Mean  = 265

standard deviation = 14

The formula for calculating the z score is \(z = \dfrac{x -\mu}{\sigma}\)

x = μ + σz

At middle of 50% i.e 0.50

The critical value for \(z_{\alpha/2} = z_{0.50/2}\)

From standard normal table

\(z_{0.25}=\) + 0.67  or -0.67  

So; when z = -0.67

x = μ + σz

x = 265 + 14(-0.67)

x = 265 -9.38

x = 255.62

when z = +0.67

x = μ + σz

x = 265 + 14 (0.67)

x = 265 + 9.38

x = 274.38

the middle 50% of most lengths of pregnancies ranges between 255.62 days and 274.38 days

Answer:

88.89%

Step-by-step explanation:

Step one:

given

a man buys eggs at RS 9.60 per dozen

what is the unit cost of the dozen of eggs?

unit cost = 9.60/12

= $0.8 per egg

He sold 20 eggs for RS 18

the unit selling price = 18/20

=$0.9 per egg

the percent gain is

=0.8/0.9*100

=0.888*100

=88.89%

Answer:

False

Step-by-step explanation:

The volume of a cone will be 209.41 yard³.

What is volume of cone?

The area or volume that a cone takes up is referred to as its volume. Cones are measured by their volume in cubic units such as cm3, m3, in3, etc. By rotating a triangle at any of its vertices, a cone can be created. A cone is a robust, spherical, three-dimensional geometric figure.. Its surface area is curved. The perpendicular height is measured from base to vertex. Right circular cones and oblique cones are two different types of cones. While the vertex of an oblique cone is not vertically above the center of the base, it is in the right circular cone where it is vertically above the base.

So the

V = (1/3)πr²h.

Given, data r = 5yards

h = 8 yards

Volume = 1/3 * π * r ²* h

= 1/3 * 3.141*25*8

=209.41 yard³

Hence, the volume of a cone will be 209.41 yard³.

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Answer:

1) 0.99348

2) 0.55668

Step-by-step explanation:

Assume that men’s weights are normally distributed with a mean given by  = 172lb and a standard deviation given by  =29lb. Using the Central Limit Theorem to solve the following exercises

When given a random number of samples, we use the z score formula:

z-score is z = (x-μ)/σ/√n where

x is the raw score

μ is the population mean

σ is the population standard deviation.

(1) If 36 men are randomly selected, find the probability that they have a mean weight greater than 160lb.

For x > 160 lb

z = 160 - 172/29/√36

z = 160 - 172/29/6

z = -2.48276

Probability value from Z-Table:

P(x<160) = 0.0065185

P(x>160) = 1 - P(x<160) = 0.99348

(2) If 81 men randomly selected, find the probability that they have a mean weight between 170lb and 175lb.

For x = 170 lb

z = 170 - 172/29/√81

z = 170 - 172/29/9

z = -0.62069

Probability value from Z-Table:

P(x = 170) = 0.2674

For x = 175 lb

z = 175 - 172/29/√36

z = 175- 172/29/6

z = 0.93103

Probability value from Z-Table:

P(x = 175) = 0.82408

The probability that they have a mean weight between 170lb and 175lb is calculated as:

P(x = 175) - P(x = 170)

0.82408 - 0.2674

= 0.55668

A. The solution of  linear equation is (x, y) = (-3, 8).

B. The solution is (x, y) = (3/4, -1).

C. The solution is (x, y) = (-31/8, 3/8).

D. The solution is (x, y) = (55/7, -117/14).

A. 3x - y = -11 --- (1)

-x + y = 5 --- (2)

From equation (2), we can write y = x + 5, and substitute it in equation (1):

3x - (x + 5) = -11

2x = -6

x = -3

Substituting x in equation (2):

-y = -8

y = 8

Therefore, the solution of the system is (x, y) = (-3, 8).

To check the solution, we substitute the values of x and y in the original equations:

3(-3) - 8 = -11 (True)

-(-3) + 8 = 5 (True)

So, the solution is correct.

B. -2y + 3 = 4x + 2 --- (1)

6x + 4y = 1 --- (2)

From equation (1), we can write 4x + 2 = -2y + 3, and substitute it in equation (2):

6x + 4y = 1

6x - 4y = 8 (rearranging)

12x = 9

x = 3/4

Substituting x in equation (1):

-2y + 3 = 4(3/4) + 2

-2y + 3 = 5

-2y = 2

y = -1

Therefore, the solution of the system is (x, y) = (3/4, -1).

To check the solution, we substitute the values of x and y in the original equations:

-2(-1) + 3 = 4(3/4) + 2 (True)

6(3/4) + 4(-1) = 1 (True)

So, the solution is correct.

C. 32y - x = -25 --- (1)

5x = 100 + x - 8y --- (2)

From equation (2), we can write 4x = 100 - 8y, and substitute it in equation (1):

32y - x = -25

32y - (100 - 8y) = -25

40y = 75

y = 3/8

Substituting y in equation (1):

32(3/8) - x = -25

x = -31/8.

Therefore, the solution of the system is (x, y) = (-31/8, 3/8).

To check the solution, we substitute the values of x and y in the original equations:

32(3/8) - (-31/8) = -25 (True)

5(-31/8) = 100 + (-31/8) - 8(3/8) (True)

So, the solution is correct.

D. To solve the system of equations:

2y + 3x = 6 --- (1)

4x + 5y + 20 = 0 --- (2)

We can rearrange equation (2) to isolate one of the variables:

4x + 5y = -20 (subtracting 20 from both sides)

5y = -4x - 20 (subtracting 4x from both sides)

y = (-4/5)x - 4 (dividing both sides by 5)

Substituting this value of y in equation (1):

2((-4/5)x - 4) + 3x = 6

(-8/5)x - 8 + 3x = 6

(-8/5)x + 3x = 14

(-8/5 + 3)x = 14

(-8/5 + 15/5)x = 14

(7/5)x = 14

x = 10

Substituting this value of x in the equation for y:

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

y = -12.

Therefore, the solution of the system is (x, y) = (10, -12).

To check the solution, we substitute the values of x and y in the original equations:

2(-12) + 3(10) = 6 (True)

4(10) + 5(-12) + 20 = 0 (True)

So, the solution is correct.

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Answer:

i dont get it

Step-by-step explanation:

Answer: 3x-3 needs to be done first, and then 4x+7, and then multiply and whatever you get will be your answer

Step-by-step explanation:

The  expression that is equivalent to 2.1 raised to the fifth power divided by 0.9 raised to the fourth power all raised to the third power is; A: 2.1 raised to the fifteenth power divided by 0.9 raised to the twelfth power

We want to find the expression that is equivalent to 2.1 raised to the fifth power divided by 0.9 raised to the fourth power all raised to the third power.

This can be written as;

(2.1⁵/0.9⁴)³

Now according to laws of exponents;

(a²)³ = a^(2 * 3) = a^(6)

Thus;

(2.1⁵/0.9⁴)³ = [(2.1)⁵*³]/(0.9)⁴*³

= 2.1¹⁵/0.9¹²

Thus, the  expression that is equivalent to 2.1 raised to the fifth power divided by 0.9 raised to the fourth power all raised to the third power is; A: 2.1 raised to the fifteenth power divided by 0.9 raised to the twelfth power

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Answer:

B

Step-by-step explanation:

Answer:

f(8) = 216

Step-by-step explanation:

f(x) = (2x −10)³

f(8) = (2(8) −10)³

     = (16 - 10) ^3

     =  6^3

     = 216

f(8) = 216

The value of the equation f ( 8 ) when f ( x ) = ( 2x - 10 )³ is f ( 8 ) = 216

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

f ( x ) = ( 2x - 10 )³

To calculate the value of f ( 8 ) , substitute the value of x as x = 8 in the equation , we get

f ( x ) = ( 2x - 10 )³

On simplifying the equation , we get

f ( x ) = ( 2x )³ - ( 10 )³ - 3 ( 2x )²( 10 ) + 3 ( 2x ) ( 10 )²

So , the equation is

f ( x ) = 8x³ - 1000 - 120x² + 600x  

So , the equation is

f ( x ) = 8x³ - 120x² + 600x - 1000

Now ,  substituting x = 8 ,

f ( 8 ) = 8 ( 8 )³ - 120 ( 8 )² + 600 ( 8 ) - 1000

f ( 8 ) =  4096 - 7680 + 4800 - 1000

On simplifying the equation , we get

f ( 8 ) = 216

Therefore , the value of f ( 8 ) = 216

Hence ,

The value of the equation f ( 8 ) when f ( x ) = ( 2x - 10 )³ is f ( 8 ) = 216

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Step-by-step explanation: Well to begin, you take 15$ and multiply it by 4, since he wants to buy 4 of those tickets, which is 60$. Then, take the 10$ and multiply it by 2 since he wants 2 of those tickets, which is 20$, you then apply 10% to 60 and 20 by taking 10 percent of 60, then adding  it to 60 once have that, which is 66, you take the 3% and find 3% of 66, then add the answer of that to 66, which is 67.98$, you then do the same thing to the 20$.

Sorry if this didnt help, im sure it didnt because im a very bad explainer, but i tried..

Answer:

z= 2.38

P = 0.008656

Step-by-step explanation:

Here n= 500 and p~= 464/500= 0.928 and q`= 1- 0.928 = 0.072

We formulate our null and alternate hypothesis as

H0 =  0.9 ;       H0 > 0.9

The degree of confidence = 90%

z₀.₀₅ = 1.645 for  α= 0.05

We use the test statistic

z=  x- np/√npq

z= 466-500 *0.9/ √500 * 0.9(1-0.9)

z= 466- 450/ √45

z= 16/6.7082

z= 2.38

As the calculated value of z= 2.38  is greater than α =1.645 so we reject H0.

If H0 is true the P value is calculated as

P = 1- Ф( 2.38)

P = 1-0.991344=0.008656

9514 1404 393

Answer:

  JKT, JLT, KLT

Step-by-step explanation:

Each of the given bisectors is the altitude of an isosceles triangle. Those triangles are ...

  JKT

  JLT

  KLT

While problem and solution essays are considered expository (writing that exposes facts) in nature, they are persuasive in nature because they call for a solution to a problem.

What is the problem?

A mathematical problem is one that can be modeled, examined, and potentially resolved using mathematical techniques. This can be a practical issue, like figuring out the orbits of the planets in our solar system, or a more theoretical issue, like Hilbert's problems.

The expository essay is a type of essay that calls for the student to research a topic, assess the evidence, elaborate on the topic, and present an argument about the topic in a clear and succinct manner. This can be done by using examples, definitions, comparisons, cause and effect analyses, and more.

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The measure of the minor arc m∡rv = 111°

Recall that according to the principle of angle of intersecting secants, (a-b)/2 = c

Where a = ∡RV
b = ∡SU = 37°:

and c = ∠T (the angle between intersecting secants.

Thus, if (a-b)/2 = c, and b = c = 37 degrees, then we can substitute these values into the equation to get:

(a - 37) / 2 = 37

Multiplying both sides by 2 gives:

a - 37 = 74

Adding 37 to both sides gives:

a = 111

Therefore, a is equal to  m∡rv = 111°.

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The number of gallons of  8% butterfat is 139 and the number of gallons of 3% butterfat milk is 146.

An equation is a statement that two mathematical expressions have values that are equal. Simply said, an equation proves that two things are equal. It is denoted by the equals sign, or "=."

Given:

A dairy needs 285 gallons of milk containing 6% butterfat,

The other milk is 8% butterfat and milk containing 3% butterfat,

Assume, the number of gallons of 8% butterfat milk is M then,

The number of gallons of 3% butterfat milk is = 285 - M,

Write the equation as shown below,

M × 8% + (285 - M) × 3% = 6% × 258

Solve for the value of M as shown below,

0.08 M + 8.55 - 0.03 M = 15.48

0.05 M = 6.93

M = 138.6 or 139

The number of gallons of 3% butterfat milk is = 285 - 139 = 146

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Answer:

-19.8

Step-by-step explanation:

-9 * 2.2

Forget about the - for now.

Multiply 2.2 by 9

The answer is 19.8

So the when the signs are different the answer is always a negative number after multiplying.

So the answer automatically becomes -19.8

HOPE IT HELPED

Answer:

0.0263

Step-by-step explanation:

Answer:

2(v-8)=6

Step-by-step explanation:

you have to follow the instructions written and then plug the values

The set of ordered pairs of the polygon is:

(0.75, -0.75), (-1, 0.5), (0, 1.25)

Option B is the correct answer.

We have,

From the figure,

We have,

The polygon has three points.

The points are in ordered pairs.

We see that,

Each number has four units.

So,

1 unit = 0.25 units

Now,

The coordinates of the polygon are:

(3 units, -3 units) = (0.75, -0.75)

(0, 5 units) = (0, 1.25)

(-4 units, 2 units) = (-1, 0.50)

Thus,

The set of ordered pairs of the polygon is:

(0.75, -0.75), (-1, 0.5), (0, 1.25)

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The polynomial function of least degree with rational coefficients so that P(x) = 0 has the given roots.x= -2, x=7 ,will be P(x)=x²-5x+14

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

\(\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n\)

It is given that the zeroes of the polynomial are, x= -2, x=7

The polynomial expression is obtained as,

=(x+2)(x-7)

=x²-7x+2x+14

=x²-5x+14

Thus, the polynomial function of least degree with rational coefficients so that P(x) = 0 has the given roots.x= -2, x=7 ,will be P(x)=x²-5x+14.

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Answer: i think hes correct

Step-by-step explanation:

Only so many prints could be made, each sent to one theater at a time.

Thus, option (C) is correct.

Before the blockbuster era, movie distribution was limited by the number of physical film prints that could be made. Each film had a limited number of copies, and these prints had to be physically shipped to individual theaters. This process took time and limited the number of theaters that could screen a movie simultaneously.

As a result, it was harder for pre-blockbuster-era moviegoers to see movies as soon as they were released because the films were not as widely available in theaters right after their release.

This distribution constraint was a significant factor in controlling the release and accessibility of movies in the pre-blockbuster era.

Thus, option (C) is correct.

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Answer:

60 min from 16° to -8°

Step-by-step explanation:

given that the temperature at bedtime was 20° . And 10minutes later it was 16° .

Change in temperature= 20-16 = 4°

time = 10min

rate of change of temperature= 4°/10min

again , initial temperature= 16°

final temperature= -8°

change in temperature= -8 -16 = -24°

time taken= 24 / 4 * 10 min = 60min

and we are done!

Answer:

If the temperature continues to change at the same rate, it will take a further 60 minutes until it reaches -8 degrees.

Step-by-step explanation:

To find the rate of change in temperature, divide the change in temperature by the time:

\(\implies \sf Rate\;of\;change=\dfrac{16^{\circ}C-20^{\circ}C}{10\;min}=-0.4^{\circ}C/min\)

Therefore, the rate of change is a decrease of 0.4 degrees per minute.

To calculate how many minutes it takes for the temperature to reach -8 degrees:

\(\implies \sf Rate\;of\;change=\dfrac{temperature\;change}{time}\)

\(\implies \sf -0.4^{\circ}C/min=\dfrac{-8^{\circ}C-16^{\circ}C}{time}\)

\(\implies \sf Time=\dfrac{-8^{\circ}C-16^{\circ}C}{-0.4^{\circ}C/min}\)

\(\implies \sf Time=\dfrac{-24^{\circ}C}{-0.4^{\circ}C/min}\)

\(\implies \sf Time=60\;min\)

Therefore, if the temperature continues to change at the same rate, it will take a further 60 minutes until it reaches -8 degrees.

Answer:

(2a^3a^4)^5 simplifies to 32a^35.

Step-by-step explanation:

To simplify (2a^3a^4)^5, we can use the properties of exponents which states that when we raise a power to another power, we can multiply the exponents. Therefore, we can rewrite the expression as:

(2a^3a^4)^5 = 2^5 * (a^3a^4)^5

Next, we can simplify the expression inside the parentheses by multiplying the exponents:

a^3a^4 = a^(3+4) = a^7

Substituting this into our expression, we get:

(2a^3a^4)^5 = 2^5 * (a^3a^4)^5 = 2^5 * a^35

Finally, we can simplify this expression by using the property of exponents that states that when we multiply two powers with the same base, we can add their exponents. Therefore, we can rewrite the expression as:

2^5 * a^35 = 32a^35

Therefore, (2a^3a^4)^5 simplifies to 32a^35.