Angle A is 12x - 37 and angle B is 7x + 15. If these angles are vertical, what is the value of x?
x=?

CAN ANYONE HELP ME PLEASEEEE????????????????????????//

Answer:

25.

SEE THE IMAGE FOR SOLUTION

The remainder when h(x) is divided by (x+1) is 69.

We have:

h(-1) = 2(-1)^4 - 17(-1)^3 + 30(-1)^2 + 64(-1) + 10 + 69 = 54

To evaluate the polynomial h(x) at x=-1 using the remainder theorem, we need to find the remainder when h(x) is divided by (x+1).

We can use polynomial long division or synthetic division to perform this division. Here's the polynomial long division:

          2x^3 - 19x^2 + 49x - 59

   ---------------------------------

x + 1 | 2x^4 - 17x^3 + 30x^2 + 64x + 10

   - (2x^4 + 2x^3)

     ---------------

           -19x^3 + 30x^2

           + (-19x^3 - 19x^2)

           -------------------

                       49x^2 + 64x

                       + (49x^2 + 49x)

                       -------------

                                   -59x + 10

                                   - (-59x - 59)

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

                                                69

Therefore, the remainder when h(x) is divided by (x+1) is 69.

Hence, we have:

h(-1) = 2(-1)^4 - 17(-1)^3 + 30(-1)^2 + 64(-1) + 10 + 69 = 54

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Answer: 5 pounds

Step-by-step explanation:

The value of expression is,

⇒ x ÷ 12

We have to given that;

The algebraic expression is,

⇒ x divided by 12

Hence, We can formulate;

The value of correct expression is,

⇒ x ÷ 12

⇒ x / 12

Thus, The value of expression is,

⇒ x ÷ 12

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Answer:

36,600

Step-by-step explanation:

Hope this is correct but I multiplied 30 by 1,320

Answer:

110 miles

Step-by-step explanation:

Answer:110

Step-by-step explanation:

When two finite populations are connected by migration , then (b) Fst decreases to 0 .

The Fixation Index denoted as Fst ,  is a measure of population differentiation, which is used to quantify the level of genetic differentiation between two populations.

The Fst ranges from 0 to 1, where 0 indicates complete gene flow between two populations and 1 indicates complete genetic isolation.

If the migration rate is 2% per organism per generation, over time this will lead to a reduction in genetic differentiation between the populations, and the Fst value will decrease towards 0.

This is because the exchange of genetic material will reduce the amount of variation that is unique to each population, which leads to an increase in the genetic similarities between the populations.

The given question is incomplete , the complete question is

What happens to Fst when two finite populations are connected by migration (say 2% chance of migration per organism per generation, and no selection) ?

(a) Fst increases to 1

(b) Fst decreases to 0

(c) Fst stays moderate, near 0.5

(d) Fst wanders around randomly between 0 and 1 forever  .

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Here we have a program written in C++ language. Each // symbol is a relative comment explaining the reason for each command line (and is not included during the program execution).

The Program:

#include <iostream>

//c++ build in library

using namespace std;

//main code body starts here

int main()

{

 //declare variable to store phone numbers,its area code, prefix and line    number.

long pnumber;   //declare long variable

int ac, prefix, lnumber;

 //declare integer variables, where ac: Area Code and lnumber is the Line Number

cout<<"Enter a 10-digit Phone Number: "<<endl;

 //cout command prints on screen the desired message

 cin>>pnumber;

 //cin command enables the user to interact with the programm and enter information manually

//main body to obtain the desired output starts below

 //each 'division' is used to allocate the correct value at the correct

 //since prefix is used to get the desired output of ( )    -

 ac = pnumber/10000000;

 prefix = (pnumber/10000)%1000;

 lnumber = pnumber%10000;

 //main body ends here

 cout<<"Based on your 10-digit number"<<endl;

 cout<<"below you have (AreaCode), Prefix, and - line number "<<endl;

 cout<<"("<<ac<<")"<<""<<prefix<<"-"<<lnumber<<endl;

 //Prints on screen the desired output of the long 10 digit Number

 return 0; //ends program

}

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

The Output Sample:

Enter a 10-digit Phone Number:

8019004673

Based on your 10-digit number

below you have (Area Code), Prefix, and - line number

(801) 900-4673

....Programm finished with exit code 0

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Answer:

\(6 \frac{1}{12}\)

Step-by-step explanation:

1) Use Least Common Denominator or (LCD)

LCD = 12

2) Make the denominators the same as the LCD.

\(5 + \frac{1 times 4 }{3 times 4 } + \frac{3 times3}{4times 3}\)

3) Simplify. Denominators are now the same.

\(5 + \frac{4}{12} +\frac{9}{12}\)

4)  Join the denominators.

\(5+ \frac{4+9}{12}\)

5)  Simplify.

\(5+\frac{13}{12}\)

6) Convert 13/12 into a mixed number.

\(5+ 1 \frac{1}{12}\)

7)  Simplify.

\(6 \frac{1}{12}\)

Decimal Form: 6.083333

Answer:

Is there more to this question?

For the first inequality, x > -1

For the second inequality, x < -1

Step-by-step explanation:

5x - 29 > -34

add 29 to both sides

5x > -5

divide both sides by 5

x > -1

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

2x + 31 < 29

subtract 31 from both sides

2x < -2

divide both sides by 2

x < -1

The simple interest is $6,240.00.

The term simple interest refers the interest that is only calculated on the initial sum borrowed or deposited.

Here we need to find  the simple interest on $6000 from 16 may 2010 to 9 October 2010 at 10% per annum.

While we looking into the given question, we know te following values,

Principal amount = $6000

Time period = 16 may 2010 to 9 October 2010

The number of days between 16 may 2010 to 9 October 2010 is

=> 146 days.

Here we have the interest for 1 year,

So, the time period is written as,

And then we have to put time into years for simplicity,

146 days / 365 days/year = 0.4 years.

And the interest rate = 10%

Here we have to convert R percent to r a decimal

r = R/100 = 10%/100 = 0.1 per year.

Now, we have to apply the values on the formula, then we get by solving our equation:

A = 6000(1 + (0.1 × 0.4)) = 6240

A = $6,240.00

Therefore, the total amount accrued, principal plus interest, from simple interest on a principal of $6,000.00 at a rate of 10% per year for 0.4 years (146 days) is $6,240.00.

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Answer:

900 ml of milk

Step-by-step explanation:

the scale is 1:1 so just multiply by 3

Answer:

B and C

Step-by-step explanation:

The function that represents exponential growth among the given options is y = 35(1.35)ˣ. As x increases, the value of y grows exponentially due to the base (1.35) being greater than 1.

To determine which function represents exponential growth among the given options, let's analyze each function and identify the exponential growth pattern.

f. y = 35x¹.³⁵: This function includes a power of x, but the exponent (1.³⁵) is greater than 1. In exponential growth, the exponent should be greater than 0 and less than 1. Therefore, function f does not represent exponential growth.

g. y = 35(0.35)ˣ: This function represents exponential decay rather than growth. The base (0.35) is between 0 and 1, indicating a decreasing trend over time.

h. y = 35(1.35)ˣ: This function represents exponential growth. The base (1.35) is greater than 1, indicating an increasing trend over time. As x increases, the function's value grows exponentially.

i. y = 35 ÷ (1.35)ˣ: This function represents exponential decay rather than growth. The base (1.35) is between 0 and 1, suggesting a decreasing pattern over time.

Therefore, among the given options, the function that represents exponential growth is:

h. y = 35(1.35)ˣ

In this function, as x increases, the value of y grows exponentially, demonstrating the characteristic of exponential growth.

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(a) Using the logarithm rule, log zxy can be simplified as log z + log x + log y, which states that the logarithm of a product is equal to the sum of the logarithms of the individual factors.

(b) Similarly, log zx^3y can be simplified as 3log x + log z + log y, applying the logarithm rule for exponents.

(c) log yx can be rewritten as (1/log x) * log y, utilizing the change-of-base formula, which states that the logarithm of a number in one base can be expressed as the logarithm of the same number in a different base divided by the logarithm of the new base.

(d) log yzx can be rearranged as log y + log z + log x, using the commutative property of addition for logarithms.

(e) log x^3y^21 can be simplified as 3log x + 21log y, applying the logarithm rule for exponents and multiplication.

(f) log2xy^3 can be expressed as log2 + 3log x + log y, utilizing the logarithm rule for exponents and the logarithm of the base 2.

(g) Taking the derivative of 2x^3 + 3x with respect to x, we obtain 6x^2 + 3, applying the power rule and the constant rule for derivatives.

(h) The derivative of 4x with respect to x is 4, applying the power rule and the constant rule for derivatives.

(i) The derivative of log(cx^b) with respect to x is (b/x) * log(cx^b), applying the chain rule and the logarithmic differentiation rule.

(j) Taking the partial derivative of xyz with respect to x, we obtain yz, as x is treated as a constant.

(k) Similarly, the partial derivative of x^2y(z^4 + z^2 + 113) with respect to x is 2xy(z^4 + z^2 + 113), as x^2 and y are treated as constants.

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Answer:

24 buckets

Step-by-step explanation:

Given that :

Dimension of rectangular block = 45 m by 38 m

A bucket of paint will cover 72m² of floor

Total area of floor : Length * Width

Total Area = (45m * 38m) = 1710 m²

Buckets of paint required :

Total area / Area per bucket

= 1710m² / 72m²

= 23.75 buckets

= 24 buckets

Using the elimination method, the price of one t-shirt is $30 and one key-chain is $11.

In the given question, Elizabeth's family went to NYC for their vacation.

At the gift shop on Liberty Island, Valerie bought three t-shirts and four key chains for $134, and Jennifer bought four t-shirts and five key chains for $175.

We have to find the price of each item.

Let the price of one t-shirt = $x

Let the price of one Key chain = $y

According to question

Price of three t-shirts and four key chains = $134

So the equation is

3x + 4y = $134……………….(1)

Also,

Price of four-shirts and five Key chains = $175

So the equation is

4x+5y = $175……………………..(2)

Now solving the equation using the elimination method.

Multiply Equation (1) by 5 and Equation (2) by 4, we get

15x+20y = 670....................(3)

16x+20y = 700......................(4)

Subtract equation 4 and 3, we get

x = 30

Now put the value of x in equation 1,

3*30 + 4y = $134

90+4y=$134

Subtract 90 on both side, we get;

4y = 44

Divide by 4 on both side, we get;

y = 11

Hence, the price of one t-shirt is $30 and one key-chain is $11.

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(1) The graph shows Sam's payments in blue while that of Carmen is shown in orange color.

(2) The graph shows that the rate of change is negative because it slopes downwards from left to right, which means as the weeks go by, the amount paid decreases. The amount paid is on the y axis while the weeks is on the x axis. As y moves up in the positive direction, x moves towards the left in the negative direction.

(3) I Sam decides to pay in two equal weekly payments, then his payment plan would be $62.5 per week and hence the graph of his payment plan would be steeper than the two currently on the coordinate grid.

Answer:

around 65 boxes of canvases

Step-by-step explanation:

well 3,204 - 478 - 384 = 2,342 people left who wanted to paint on canvases

2,342/36 = 65.05 boxes of canvases:)

Answer:

Represent the thickness of the frame by x.

Framing the mirror will increase both its length and width by 2x. The area of the mirror with the frame is the product of the length and width which can mathematically be expressed as,

A = (3+2x)(2+2x) = 8

The equation above can be simplified into 4x^2 + 10x -2=0.

This equation can still be further simplified by dividing it by 2. However, it will give an answer which is not found on the choices. Thus, the answer is the third choice.

Answer:

The correct option would be C

Step-by-step explanation:

I hope this helps, if it doesn't then just message me and ill be more than happy to help :)

The distance from the beaver dam back to its starting point is 4.1 miles

The Pythagoras theorem is a mathematical statement that specifies the connection of the sides of a right triangle. It asserts that "the  length of the hypotenuse squared is equal to the sum of the length of the opposite and the adjacent squared."

Mathematically;

hyp² = opp² + adj²

From the image attached below, the distance from the beaver dam back to the starting point is the hypotenuse of the triangle formed.

Thus;

hyp² = 2.3²  + 3.4²

hyp² = 5.29 +  11.56

hyp = √16.85

hyp = 4.1

Therefore, we can conclude that the distance from the beaver dam back to its starting point is 4.1 miles.

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The expected gain or loss of an experiment over the long run is called the expected value.

The expected value is the weighted average of all possible outcomes, where the weights are the probabilities of those outcomes occurring. It is calculated by multiplying each possible outcome by its probability of occurring and then adding up these products. The expected value can be used to make decisions and assess risk in various fields, including finance, economics, and gambling. If the expected value is positive, it means that, on average, the experiment will result in a gain, while a negative expected value indicates a loss.

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In how many ways can 5 different novels, 3 different mathematics books, and 1 biology book be arranged on a bookshelf if the mathematics books must be together and the novels must be together?

To find the number of ways, in which 5 different novels, 3 different mathematics books, and 1 biology book can be arranged on a bookshelf if the mathematics books must be together and the novels must be together, we can use the concept of permutation formulae.

Permutation formulae is the formula used to find out the number of ways in which a set of things can be arranged or ordered without repetition of the arrangement. Here, the mathematics books must be together and the novels must be together. Therefore, we can group the mathematics books together as one book and the novels together as one book. That is, we have two groups, one of size 3 (mathematics books) and one of size 5 (novels).

Therefore, the problem now reduces to finding the number of ways in which two groups of books can be arranged on a shelf. This can be done by using the permutation formulae as follows:

First, we find the number of ways to arrange the two groups on the shelf, ignoring the order within the groups. There are two ways to arrange the two groups: either the mathematics books can come first or the novels can come first.

Second, we find the number of ways to arrange the mathematics books within their group. There are 3! = 6 ways to arrange the 3 mathematics books within their group.

Third, we find the number of ways to arrange the novels within their group. There are 5! = 120 ways to arrange the 5 novels within their group.

Therefore, the total number of ways to arrange the books is given by the product of the number of ways to arrange the two groups, the number of ways to arrange the mathematics books within their group, and the number of ways to arrange the novels within their group.

Thus, the number of ways to arrange the books is:2 x 6 x 120= 1440.

Answer: 1440 words

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Answer:

Justin worked 25 hours and 45 minutes.

25 3/4 hours total

First add the hours together.  

12 + 13 = 25

Then add the minutes together.  

4 + 41 = 45

So 25 hours and 45 minutes

or

25 3/4 hours

45 minutes is also 3/4 of an hour

Answer:

x = 20

Step-by-step explanation:

c^2 = a^2 + b^2

a = 12

b = 16

c = ?

c^2 = 12^2 + 16^2

c^2 = 144 + 256

c^2 = 400

sqrt(c^2) = sqrt(400)

c = 20

Answer: The volunteers are unaware of which surgery they receive.

Step-by-step explanation:

Answer:

x=-5/3

y=-4/3

Step-by-step explanation:

Given:

x+y=-3

y=2x+2

Substitute y into the first equation

x+2x+2=-3

combine like terms

3x+2=-3

subtract 2 from both sides

3x=-5

divide both sides by 3

x=-5/3

Substitute in x for the second equation:

y=2(-5/3)+2

y= -4/3

Hope this helps! :)

Answer:

B) -1.6

Step-by-step explanation:

As you can see there is a pattern of 5 dashes, meaning that each dash would increase by 0.2

So, the dash behind the -1 equals to -1.2. The one two dashes behind the -1 would be -1.4. Sequentially, the dash E would be -1.6.

Am I correct?

Answer:

The regular polygon that has an interior angle sum of 2,340 is a regular polygon with 15 sides. so your answer is 15.