Find the common difference or ratio.
20, 10,__,2.5,__

Answer:

11xy+2x

Step-by-step explanation:

x(11y + 2)

11y(x)+2(x)=11xy+2x

Hope this helps!

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Answer:

[tex]11xy + 2x[/tex]

Step-by-step explanation:

Using the distributive property means that we multiply everything that is inside the brackets with everything that is outside the brackets.

For this question that means that we will multiply [tex]x[/tex] with both [tex]11y[/tex] and 2:

[tex]x(11y + 2)[/tex]

⇒ [tex]x \times 11y + x \times 2[/tex]

⇒ [tex]11xy + 2x[/tex]

Therefore [tex]x(11y + 2)[/tex] rewritten using the distributive property is [tex]11xy + 2x[/tex].

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If a line is perpendicular to one of two parallel lines, then it is perpendicular to the other.

We know that when a transversal cuts two parallel lines, then the corresponding angles are equal.

We know that parallel lines never intersect each other. When a third line is perpendicular to one of the parallel lines, then the third line must be perpendicular to another line as well.

To prove if AD is perpendicular to MN, it is also perpendicular to OP

ABN=90o

( Since AD is perpendicular to MN)

BCP=ABN=90o

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The value of x after solving the exponential equation ln [e^{5x-3} - 2 ] = ln [10,476] is x = 0.6.

What is the exponential function ?

An exponential function is one that has the formula f (x) = a^(x) , where x is a variable and a constant and it must be greater than 0.

It is given that exponential equation is e^{5x-3}-2=10,476.

Let's solve this to find the value of term x.

So , we will take natural log on both sides.

This meant ;

ln [e^{5x-3} - 2 ] = ln [10,476]

We know that logarithm of a natural number is 0 and ln (e^ x) = x , so let's apply this to above equation.

ln (e^(5x - 3)) - ln 2 = 0

or

5x - 3 - 0 = 0

or

5x - 3 = 0

So , let's solve this to get the value of x ,

5x = 3

x = 3 / 5

or

x = 0.6

Therefore , the value of x after solving the exponential equation ln [e^{5x-3} - 2 ] = ln [10,476] is x = 0.6.

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Jorge's drawing of the triangle is greater than the first drawing.

Scales are ratios between two lengths, herein we find an example of scales, defined as ratios of real length to reduced length from drawings. In a nutshell, we have a case of augmentation scales. Mathematically speaking, each scale is represented by the corresponding formulas:

x / y = 30            (1)

x / z = 10             (2)

By (1) and (2) we find the relationship between the two lengths of the two drawings:

30 · y = 10 · z

z = 3 · y

Jorge's drawing of the triangle is greater than the first drawing.

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The possibility of the outcomes of third coin turn up a head is 2⁹.

Probability:

Probability is the calculated by dividing the favorable outcome by the total number of outcomes.

Given,

Ten coins are tossed simultaneously.

Here we need to find the how many of the outcomes will the third coin turn up a head.

Here we know that,

The third coin must be a head.

So, that means the rest of the coins can be heads or tails.

Therefore, possibility of these can be written as,

2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 2⁹

different outcomes for the rest of the coins.

Which means the rest of the coins can be either head or tail but the third one is head.

Therefore, the possibility of getting third coin as head is 2⁹.

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He typically work each day for 10 hours.

According to the question, the expression can be written as:

The time taken to stretch the fingers = (1/2)t

Similarly, the time taken to smashed toes = (1/5)t

Total time = 7 hours

Now, the final expression can be written as:

(1/2)t + (1/5)t = (7)

(7/10)t = 7

t = 10 hours

Hence, he typically work each day for 10 hours.

What is time and work?

The time and work represents the problems deals with the time either with the individual or the group of the people to complete the piece of work. And the efficiency taken by each individual.

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Answer:

A

Step-by-step explanation:

The line travels through the plane and its intersection point is labeled C

The value of f(-1) according to the function f(x) given is; 6.

It follows from the task content that the function, f(x) = 2x² + 4.

On this note, to evaluate the value of f(-1), we must substitute -1 for x in the function given as follows;

f(-1) = 2(-1)² + 4

f(-1) = (2×1) +4

f(-1) = 6.

Ultimately, f(-1) = 6.

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Answer:

6.08

Step-by-step explanation:

since 2 is lower than 5 we will use two to round it up

the number 7 will be used

making the 2 to be called 1 add it to 7 making it

8

Rounding 6.027 to the nearest hundredth gives us 6.03.

To round 6.027 to the nearest hundredth,

Since we know that,

Changing a number's digits so that it approximates a value is known as rounding.

In other words, when rounding numbers, we substitute an approximated value for the original number, which is a shorter and simpler representation of the original number. Finding the estimated value of the supplied decimal number up to 2 decimal places is known as rounding to the nearest hundredth.

we first need to identify the second digit after the decimal point, which is 2.

If this digit is less than 5, the number rounds down to 6.02.

If it is 5 or greater, the number rounds up to 6.03.

Since 7 is greater than 5, we round down to 6.03.

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Answer:

43

Step-by-step explanation:

divide 10 3/4 by 1/4

Answer:

12

Step-by-step explanation:

12 divided by 2 = 6

and
6 - 4 = 2

Answer:12

Step-by-step explanation:

Your welcome!

The statement "angles 4 and 6 are alternate interior angles" is true

Given,

The statement " Angles 4 and 6 are alternate interior angles"

Here,

∠4 and ∠6 are lie opposite sides of the the transversal and both are nonadjacent interior angles .

So, ∠4 and ∠6 are alternate interior angles

Hence, the statement "angles 4 and 6 are alternate interior angles" is true.

The complete question is:

State whether the sentence is true or false. If false, replace the underlined word or number to make a true sentence.

Angles 4 and 6 are alternate interior angles.

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The linear equation applicable for the statement is a w = 8m+3.

According to the statement

We have to find that the linear equation related to the statement.

So, For this purpose, we know that the

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

From the given information:

Bill's spelling list is 3 words long at the start of the school year. Each month, his teacher adds 8 words to the list.Let m represent the number of months since school began and w represent the total number of spelling words.

Then

Total number month when words have been added = m

Total number of words after m month = w

At starting the number list = 3

Then

The linear equation become

w = 8m+3

This is the linear equation.

So, The linear equation applicable for the statement is a w = 8m+3.

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Answer: -1/4

Step-by-step explanation:

(-7+3)/(7+9)

-4/16

-1/4

The translation is show below

What is translation in mathematics?

A translation is a sort of transformation that involves sliding each point in a figure the same distance in the same direction. When executing a translation, the original object is referred to as the pre-image, and the item following the translation is referred to as the image.

Let the coordinates be L (2, 5), M (4, 6), N (3, 7)

Follow the translation rule as (x-2, y+4), which shifts the triangle LMN to L'M'N' as L' (0, 9), M' (2, 10), N' (1, 11).

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The jungle was 4.8 miles away.

So,

The formula of, Distance = Speed × Time

Therefore, the jungle was 4.8 miles away.

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Answer:

a. 3/5

b. 270 girls

c 450 students.

3 450 13350

_ x ___ = ______ = 270 =270 girls

5 1 5

Answer:

i didn't understand please write it in a clearer way so I can help

Answer: given clear information about the question

Step-by-step explanation:

What I can advise is, Please look for the "X or Y" carefully, work on it step by step!!

The probability of the whole batch getting selected or marked as okay is 0.9030 (most likely).

Probability is the possibility of an event occurring. We can scale the probability of an event between 0 and 1. 0 refers to an improbable event, and 1 refers to an event with the highest possibility.

Now in the given problem statement that in order to evaluate the batch of a product, a sample is selected at random. The sample will be evaluated called the acceptance sampling and if the sample turns out to be undefective, production will be marked okay.

The purpose here is to find the probability that the entire batch will be selected, and it is only possible for all the three random products that are selected to turn out to be okay.

Now we will list down the given data and then solve it,

Total products manufactured = 4500 CDs

Defective pieces = 150 CDs

Good/Undefective CDs = Total products - Defective pieces

= 4500-150

Good/Undefective CDs = 4350

Now the three samples are chosen at random;

P (first good) = 4350/4500 if not replace....

then (one less choice and one less good)

P (the second one is not defective, but it is not)

= 4350/4499

If you don't replace...

If (2 less to choose from and 2 less non-defective)

P(3rd is not defective (1st AND 2nd is not defective ))

= 4350/4498

Just multiply these 3 fractions

(4350 ( 4349 > ) (4348) ) / (4500 (4499) (4498) ) )

= 0.9030

So the probability of the whole batch to get selected or marked as okay is 0.9030 (most likely).

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The two equations that represent the candy mix are:

b + w = 40

2.25b + 3.85w =   (3.45 x 40)

In order to determine the candy mix that will be sold, two equations would be formed. These equations would be solved together, simultaneously and thus are known as simultaneous equations. The methods used to solve simultaneous equations are:

The form of the equations would be :

pound of candy bears + pounds of candy worms = total pounds

(pound of candy bears x cost of candy bears) + ( cost of candy worms x pounds of candy worms) = (total cost  of the mix per pound x total pounds)

b + w = 40

2.25b + 3.85w =   (3.45 x 40)

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Arithmetic progression AP is the given sequence of 3,7,11,15, ............ The common difference is found to be (d = 4).

The difference between two numerical orders in Arithmetic Progression (AP) is a constant value. Another name for it is Arithmetic Sequence.

Then we'd come across some key terms in AP, which are denoted as:

Some AP formulas are as follows:

Now, for the given sequence is   3,7,11,15, ...........

Let us suppose the first term is'a₁' = 3.

Let us suppose 'a₂' = 7 is the second term.

Let us suppose the third term is 'a₃' = 11.

Let us suppose the fourth term be 'a₄' = 15.

d = a₂ - a₁      

Substitute the values;

d = 7 - 3 = 4     ........(equation 1)

Now consider the other set;

d = a₃ - a₂    

d = 11 - 7 = 4      .......(equation 2)

As a result, both equations are equal. It means that the common difference is the same, which is (d = 4).

Therefore, the asserted sequence is discovered to be in AP, and the value of a common difference is discovered to be (d = 4).

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Answer:

m

------- <------ fraction bar means divide too

z + u

Hope this helps :)

The quadratic equation of the form 5x² + 4x - 20 = 0 then the values of x1 = 1.64 and x2 = -2.44.

The quadratic equation of the form ax² + bx + c = 0.

The form is called the standard form of the quadratic equation.

Let the quadratic equation be 5x² + 4x - 20 = 0

a = 5, b = 4 and c = -20

ax² + bx + c = 0

5x² + 4x - 20 = 0

The quadratic equation be

[tex]$x=\frac{-b\pm \sqrt{b^2-4\cdot \:a\left(c\right)}}{2\cdot \:a}[/tex]

a = 5, b = 4 and c = -20

substitute the value of a, b and c in the above equation, we get

[tex]$x_{1,\:2}=\frac{-4\pm \sqrt{4^2-4\cdot \:5\left(-20\right)}}{2\cdot \:5}[/tex]

simplifying the equation, we get

[tex]$x_1=\frac{-4+4\sqrt{26}}{2\cdot \:5}[/tex]

[tex]$x_2=\frac{-4-4\sqrt{26}}{2\cdot \:5}[/tex]

The values of x1 = 1.64 and x2 = -2.44

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When a graph crosses the y-axis, that location is known as the y-intercept. It is, in other words, the value of y at x=0.

When a graph crosses the y-axis, that location is known as the y-intercept. It is, in other words, the value of y at x=0. In addition to being the length of the perpendicular that is drawn from the point to the x-axis, it is the value of y at the coordinates (x, y). It is, in other words, the vertical distance between the point and the x-axis.

An address that aids in locating a spot in two dimensions of space are the X and Y coordinates. Any point in the coordinate plane is denoted by the coordinates (x, y), where the x value represents the point's location in relation to the x-axis and the y value represents its position in relation to the y-axis.

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The payment she gets after 22 hours of working is $187.

According to the statement

We have to find that the total amount she earned.

So, For this purpose, we know that the

Straight-time pay is the total amount of money you earn in a given pay period.

From the given information:

Sally Barrett, a banjo player for a local band, earns $8.50 per hour.What is her straight-time pay for a week in which she worked 22 hours?

Then

The amount she get as a rate per hour = $8.50

And

The time for which she works =  22 hours

Then

Pay she get after the work of the 22 hours = $8.50 * 22

Then

Pay she get after the work of the 22 hours = $8.50 * 22

Now multiply these to get the answer

Pay she get after the work of the 22 hours = $187

So, The payment she gets after 22 hours of working is $187.

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Answer:

length=12

width=7

Step-by-step explanation:

I tried random numbers like 6+6+11+11 then tried another one 8+8+13+13. After that I found out the pattern and worked out the answer

Answer: The answer should be A.

Step-by-step explanation: 1/2 x -16 = -8

Option 2, 8.3% p.a. compounded quarterly will provide the best return on the investment over a time period of 5 years.

Let's say you want to invest Rs 8000.

The formula for compound interest is given as:

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Where P is the principal amount, r is the interest rate, n is the number of times interest is applied, and t is the number of time periods elapsed.

For option 1,

P = 8000

r = 8.2% = 0.082

As the interest compounded annually.

n = 12

t = 5 years

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

[tex]A=8000( 1 + \frac{0.082}{12})^{12 \times 5}[/tex]

[tex]A=8000(1+0.00683)^{60}\\A = 8000(1.00683)^{60}\\A=8000 \times 1.5047\\[/tex]

A = Rs. 12037.74

For option 2,

8.3% compounded quarterly.

Quarterly means once three months.

There are four quarters in one year.

Therefore, n = 4 × 5 = 20

P = 8000

r = 8.3% = 0.083

t = 5

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

[tex]A=8000(1+\frac{0.083}{20})^{20 \times 5}\\[/tex]

[tex]A=8000(1+0.00415)^{100}\\A=8000(1.00415)^{100}\\A=8000 \times 1.51307\\[/tex]

A = Rs. 12104.566

Hence, option 2 will provide you with the best return on your investment.

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[tex]10\frac{2}{3}[/tex]  cups of liquid fertilizer is needed to make 80 gallons of spray.

It is given that 1 cup of liquid fertilizer to make [tex]7\frac{1}{2}[/tex] gallons of spray.

On simplifying the gallons , we get

    [tex]7\frac{1}{2}=\frac{7\times2+1}{2} \\\\7\frac{1}{2}=\frac{15}{2}[/tex]

Using unitary method , we get

[tex]\frac{15}{2}[/tex] gallons of spray makes = 1 liquid fertilizer

1 gallons of spray makes =  [tex]\frac{2}{15}[/tex] liquid fertilizer

80 gallons of spray [tex]=\frac{2}{15} \times80\\[/tex]

                                [tex]=\frac{160}{15} \\\\=\frac{32}{3}[/tex]

Which can be written as [tex]10\frac{2}{3}[/tex]

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Answer:

(1, -2).

Step-by-step explanation:

The robot is at the point (-3, -2).

Just add 4 to the x-coordinate/