Use the diagram shown. There are two lines which intersect each other and making angles 1 and 2. The opposite angles to 1 is 3, and 2 is 4. Which statements are true? Select all that apply. A. m∠2 + m∠3 = 180° B. m∠3 + m∠4 = 180° C. m∠2 + m∠3 = m∠3 + m∠4 D. m∠1 + m∠3 = m∠2 + m∠4

The equivalent expression of 4b+13/2 is (8b+13)/2.

Given an expression be 4b+13/2.

We are required to find the equivalent of the expression 4b+13/2.

Expression is combination of numbers, symbols, fractions, coefficients, determinants, indeterminants. In an expression we do not find any equal to sign. It shows some relationship. In this expression b is the only variable that exists. If we have been given some value of th expression at some point then we can get the value of variable.

The expression is 4b+13/2.

Taking LCM first.

The LCM of any two numbers is basically the value that is evenly divisible by the two given numbers.

=(8b+13)/2

Hence the equivalent expression of 4b+13/2 is (8b+13)/2.

Learn more about expressions at https://brainly.com/question/723406

#SPJ1

Answer:

C. -2

Step-by-step explanation:

Use A-P-E-X

How I solved it:

3/4(1/5÷3/5)(-8)

3/4(1/5×5/3)(-8)

3/4(1/3)(-8)

1/4(-8)=-2

Hope this helps!

If not, I am sorry.

Answer:

a=8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

7 * 8 = 56

56 + 5 = 61

The true statements are:

1) The relationship is proportional

2) y = -3x is equation of the line.

3) The slope is negative.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction

A graph of the line is given.

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

And line passes through the points (4, -12) and (6, -18).

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

m = -3

The slope is negative.

Then the equation of the line is,

y + 12 = -3(x -4)

y + 12 = -3x + 12

y = -3x

This equation shows the proportional relationship.

Therefore, all the required values are given above.

To learn more about the slope;

brainly.com/question/3605446

#SPJ6

Based on the number of members and the ratio in which they chose the types of film, the number who chose Action in the second week more than the first week is 6 people.

Assuming that the number of members is 99 members, the number who chose Action on the second week were:

= (7 / (5 + 7 + 6)) x 99

= 39 people

The number who chose Action in the first week:

= (5 / (2 + 5 + 8)) x 99

= 33

The difference is:

= 39 - 33

= 6 people

Find out more on ratios at https://brainly.com/question/12024093

#SPJ1

Answer:

z = 1

Step-by-step explanation:

z + 5 = 6

z = 6 - 5

z = 1

Topic: Algebraic equations

If you would like to venture further into mathematics, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

z equals 1 so 1 + 5= 6

z+5 = 6

-5 -5

z = 1

Answer:

12 is the answer because of its solution

Answer:

8+8=E+2

16=E+2

16-2=E

14=E

______________

Additional comment

If you find this answer helpful, please mark Brainliest! :)

Answer:

7.3

Step-by-step explanation:

11.6 - 4.3 = 7.3

Helping in the name of Jesus.

Answer:

27

Step-by-step explanation:

whats the question. I just added both the numbers for free points. Thanks you S H M U C K.

The average rate of change during those 6 hours was 12/6 = 2 inches per hour.

To find the constant rate of change, we need to determine how much the water level increased per hour.

From noon to 1:00 pm, the water level rose by 2 inches, so the rate of change during that hour was 2 inches. From 1:00 pm to 7:00 pm, or over a period of 6 hours, the water level rose by 14 - 2 = 12 inches. So, the average rate of change during those 6 hours was 12/6 = 2 inches per hour.

We can conclude that the constant rate of change for the water level of the pond was 2 inches per hour, which means that the water level was rising at a steady pace throughout the period from noon to 7:00 pm.

To know more about rate of change refer to-

https://brainly.com/question/29518179

#SPJ11

Answer: 1.2 tons

Step-by-step explanation:

Answer:  1,777

Step-by-step explanation:

The Diwali occurred on 0.408 or 40.8% of the year in 2017.

To find the fraction of the year that Diwali occurred in 2017, we need to divide the number of days between Diwali and the start of the year by the total number of days in the year.

Diwali occurred on Thursday, October 19, 2017. The start of the year 2017 is January 1, 2017 which is a Sunday.

There are 365 days in a non-leap year. Since 2017 is not a leap year, there are 365 days in that year.

So the fraction of the year that Diwali occurred in 2017 can be calculated as: (days between Diwali and the start of the year) / (total days in the year) = ( 19 + 31 + 30 + 31 + 30 + 19 ) / 365 = (148) / 365 = 0.408

So, the Diwali occurred on 0.408 or 40.8% of the year in 2017.

Therefore, Diwali occurred on 0.408 or 40.8%

To learn more about fractions,

Visit; brainly.com/question/10354322

#SPJ4

Answer:

(b) reduce the variability of the poll result.

Step-by-step explanation:

when the sample size of an opinion poll is increased, more data will be gathered about the population, and when there is enough data present, The estimates that is made afterward base on the gathered data will be more accurate compare with when there is small sample size. It should be noted that when the sample size of an opinion poll is increased, it will reduce the variability of the poll result.

Answer:

11

Step-by-step explanation:

using pi ×r²×h=area

3.14×r²×h= 3419.46

basic algebra

The integral test, the series \(\sum(n=1 \to \infty) 2^(3n)/(5^n)\) also diverges.

The integral test can be applied to the series if the following conditions are met:

For the series \(\sum(n=1 \to \infty) 2^{(3n)/(5^n)}\), we have:

The terms of the series are non-negative, since \(2^{(3n)}\) and \(5^n\) are both positive for all n.

The terms of the series are decreasing, since the ratio of consecutive terms is:

\(2^{(3(n+1))}/(5^{(n+1)}) \div 2^{(3n)/(5^n)} = (2^{3/5}) < 1\)

Therefore, the terms are decreasing.

The series has infinitely many terms, since n can take any positive integer value.

To apply the integral test, we need to find a function f(x) that is positive, continuous, and decreasing on the interval [1, ∞) and such that f(n) = \(2^{(3n)/(5^n)}\) for all n.

We can take \(f(x) = (2^3/5)^{(x-1)}\), which satisfies these conditions.

Then, the integral test states that the series converges if and only if the improper integral \(\int(1 \to \infy) f(x) dx\) converges. We have:

\(\int (1 \to \infty) f(x) dx = \int(1 \to \infty) (2^3/5)^(x-1) dx\)

\(= [1/(ln(2^3/5))] lim (t \to \infty ) [(2^3/5)^t - (2^3/5)]\)

\(= [1/(ln(8/5))] lim (t \to \infty) [(8/5)^t - 8/5]\)

The limit \((8/5)^t\)approaches infinity as t approaches infinity, so the integral diverges.

Therefore, by the integral test, the series \(\sum(n=1 \to \infty) 2^(3n)/(5^n)\) also diverges.

Learn more about convergence or divergence of series

brainly.com/question/15415793

#SPJ11

No, molar mass is a constant and does not depend on pressure or temperature.

Molar mass is a physical property of a substance and is the mass of one mole of a given substance. It is a constant value that represents the amount of grams of a substance that contains 022 x 1023 atoms or molecules. Since molar mass is a constant, it does not depend on pressure or temperature. Pressure and temperature can affect the physical and chemical properties of a substance, but they do not have an effect on the molar mass. The molar mass of a substance can be useful in determining molecular and empirical formulas, as well as calculating densities and molar concentrations.

Learn more about temperature here

https://brainly.com/question/29768169

#SPJ4

Answer: WY = 27

Step-by-step explanation:

Due to WX being a Perpendicular Bisector WY = WZ

4x - 5 = 2x + 11

Add 5 to both sides

4x = 2x + 16

Subtract 2x from both sides

2x = 16

Divide by 2

x = 8

So 4x - 5 of x = 8

4*8 = 32 - 5 =27

Answer:

27

Step-by-step explanation:

WY = WZ because XZ = XY

\(2x + 11 = 4x - 5\\(2x + 11) - 11 = (4x - 5) -11\\2x = 4x - 16\\-2x = -16\\x = 8\\\\WY = 4x - 5\\WY = 4(8) -5\\WY = 32 - 5\\WY = 27\)

Answer:

\( \frac{16 \sqrt{2} }{3} \)

Step-by-step explanation:

\(2 \times \sqrt{8} \times 4 \div 3 = \frac{ 16 \sqrt{2} }{3} \)

=====================================

Work Shown:

\((\text{x}-7)^2 = 36\\\\\sqrt{(\text{x}-7)^2} = \sqrt{36}\\\\\text{x}-7 = \pm\sqrt{36}\\\\\text{x}-7 = \pm6\\\\\text{x}-7 = 6 \ \text{ or } \ \text{x}-7 = -6\\\\\text{x} = 6+7 \ \text{ or } \ \text{x} = -6+7\\\\\text{x} = 13 \ \text{ or } \ \text{x} = 1\\\\\)

-------------

Check:

Plug in x = 13

\((\text{x}-7)^2 = 36\\\\(13-7)^2 = 36\\\\(6)^2 = 36\\\\36 = 36 \ \ \checkmark\\\\\)

This confirms x = 13

Now check x = 1

\((\text{x}-7)^2 = 36\\\\(1-7)^2 = 36\\\\(-6)^2 = 36\\\\36 = 36 \ \ \checkmark\\\\\)

The value x = 1 is confirmed as well.

Both solutions are confirmed.

Answer:

21 gallons

Step-by-step explanation:

4 quarts = 1 gallon

16 quarts = 4 gallons

25 gallon - 4 gallons = 21 gallons

4 pounds of the 20% walnut trail mix and 8 pounds of the 35% walnut trail mix to form a 12-pound mix that is 30% walnuts.

Let's call the amount of the 20% walnut trail mix "x" and the amount of the 35% walnut trail mix "y".

We can start by setting up two equations based on the information given:

Equation 1: x + y = 12 (since the total amount of trail mix is 12 pounds)

Equation 2: 0.20x + 0.35y = 0.30(12) (since we want the final mix to be 30% walnuts)

Simplifying Equation 2, we get:

0.20x + 0.35y = 3.6

Now we can use substitution or elimination to solve for x and y. Let's use substitution:

From Equation 1, we know that x = 12 - y. We can substitute this into Equation 2:

0.20(12 - y) + 0.35y = 3.6

2.4 - 0.20y + 0.35y = 3.6

0.15y = 1.2

y = 8

Now we can use Equation 1 to solve for x:

x + 8 = 12

x = 4

Therefore, to make a 12-pound trail mix with 30% walnuts, a combination of two types of trail mix, one with 20% walnuts and another with 35% walnuts, is needed.

Specifically, 4 pounds of the 20% walnut trail mix and 8 pounds of the 35% walnut trail mix should be used.

Learn more bout types of trail mix

brainly.com/question/11767517

#SPJ11

we have the equation

the equation in slope-intercept form is

y=mx+b

so

Isolate the variable y in the given equation

step 1

subtract x both sides

step 2

Multiply by -3 both sides

Answer:

The answer is the last answer choice (D).

Step-by-step explanation:

f(x) = \(x^{3} +2x^{2}\)

When you factor, you get the values 0 and -2, 0 have a multiplicity of 2 and -2 having a multiplicity of 1.

Answer:

Step-by-step explanation:

Heeyyyyyy hope that person that answered that was right!!!!

Future value (FV) is the value of an asset at a specified date in the future that is equivalent in value to a specified sum today.

The future value is calculated using the following formula: FV = PV (1 + r)^n, where PV is the present value, r is the interest rate and n is the number of periods. Future value (FV) is the value of an asset at a specific date. It measures the nominal future sum of money that a given sum of money is “worth” at a specified time in the future taking into account inflation, investments, and other factors. The formula for calculating the future value (FV) of a single sum is FV = P (1 + i)^n, where P is the present value, i is the interest rate, and n is the number of compounding periods. For example, if you have $1000 today with an interest rate of 5% that compounds annually over 5 years, the future value would be FV = $1000 * (1 + 0.05)^5 = $1276.28. For example, if you have $1000 today and the interest rate is 7% per year, and you want to know the future value after 5 years, then the calculation would be: FV = 1000 (1 + 0.07)^5 = $1,402.35. The future value is $1,402.35, which is $402.35 more than the initial investment.

Learn more about future value here:

https://brainly.com/question/29140663

#SPJ4  

The required width of the aquarium is 7 inches.

A vivarium of any size with at least one transparent side is known as an aquarium. In an aquarium, aquatic animals or plants are kept and displayed. Aquaria are used by fishkeepers to keep aquatic plants, invertebrates, amphibians, aquatic reptiles like turtles, and fish.

Let's denote the width of the aquarium by "w".

We know that the aquarium can hold 595 cubic inches of water, so we can set up an equation:

length x width x height = 595

Substituting the given values, we get:

17 x w x 5 = 595

Simplifying, we get:

85w = 595

Dividing both sides by 85, we get:

w = 7

Therefore, the width of the aquarium is 7 inches.

To know more about Volume visit:

brainly.com/question/12237641

#SPJ1

A) The decimal 2.256 in expanded form and word form are respectively;  2 + 0.2 + 0.05 + 0.006;  Two and three hundred fifty six one - thousandths

B) The decimal 24.09 in expanded form  and word form are respectively; 20 + 4 + 0 + 0.09; Twenty four and 9 one - hundredths.

The expanded form used when writing decimals is the mathematical expression that shows the sum of the values of each digit in the given number.

A) We are given the decimal 2.256

Thus, in expanded form, the given decimal can be expressed as;

2 + (2/10) + (5/100) + (6/1000)

= 2 + 0.2 + 0.05 + 0.006

In word form, we can write the decimal as;

Two and three hundred fifty six one - thousandths

B) We are given the decimal 24.09

Thus, in expanded form, the given decimal can be expressed as;

20 + 4 + (0/10) + (9/100)

= 20 + 4 + 0 + 0.09

In word form, we can write the decimal as;

Twenty four and 9 one - hundredths.

Read more about writing decimals at; https://brainly.com/question/26205415

#SPJ1

The simplified form is 7x - 2y.

Distributive property: What Is It?

This property states that multiplying the total of two or more addends by a number will produce the same outcome as multiplying each addend by the number separately and then adding the results together.

According to question,

5x-4y+2(y+x)

5x-4y+2y+2x

7x-2y

Hence, simplified form is 7x - 2y.

Learn more about simplified form on:

https://brainly.com/question/10764460

#SPJ1

If the expression 1/2x was placed in the form ax^b where a and b are real numbers, then a + b equal to option (4) -1/2

The given expression is 1/(2x), which can be rewritten as:

1/(2x) = 1/2 × (1/x)

Here, we can see that the expression can be written in the form of ax^b, where a = 1/2 and b = -1.

To see why a = 1/2, notice that 1/2 is the coefficient of (1/x). And to see why b = -1, note that x^(-1) is the exponent on the variable x

So, we have:

1/(2x) = (1/2) × x^(-1)

And, a + b = (1/2) + (-1)

Add the numbers

= -1/2.

Therefore, the correct option is (4) -1/2.

Learn more about exponent here

brainly.com/question/219134

#SPJ4

Answer:

49243

Step-by-step explanation:

Given that the population of rabbits on an island is growing exponentially.

Let the population, \(P=P_0e^{bt}\)

where, \(P_0\) and b are constants, t=(Current year -1994) is the time in years from 1994.

In 1994, t=0, the population of rabbit, P=9600, so

\(9600=P_0e^{b\times 0}\)

So, \(P_0=9600\)

and in 2000, t=2000-1994=6 years and population of the rabbit, P=18400

\(18400=9600 \times e^{b\times 6} \\\\\frac{18400}{9600}=e^{b\times 6} \\\\\)

\(\ln(23/12}=6b \\\\\)

\(b = \frac{\ln{1.92}}{6} \\\\\)

b=0.109

On putting the value of P_0 and b, the population of the rabbit after t years from 1994 is

\(P=9600 \times e^{0.109\times t}\)

In 2009, t= 2009-1994=15 years,

So, the population of the rabbit in 2009

\(P=9600 \times e^{0.109\times 15}=49243\)

Hence, the population of the rabbit in 2009 is 49243.