I WILL MARK YOU AS BRAINLIEST IF YOU SOLVE THIS FOR ME
Consider the line -7x - 5y = -1
What is the slope of a line parallel to this line?

What is the slope of a line perpendicular to this line?

On solving the provided question, we can say that the probability of guessing the sequence 2^99 possible combinations.

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true.

As soon as you realize there are more heads than tails, you realize you require at least 50 of them, and you ask 100 people to select 50 locations for them to go.

Considering that you have 250 options for the remaining coins, there are a total of (100 pick 50) + 250 combinations that are feasible.

There are 299 potential options if you simply inquire as to whether the first coin will land on heads.

Asking whether there are more heads than tails is preferable because, according to Wolfram Alpha, 299 is larger than (100 pick 50) + 250.

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Answer: x = 1

Step-by-step explanation: 4(1-x) = 6(x-1)

 -  4-4x = 6x-6

 -  6x-4x = 6-4

 -  2x = 2

 - x= 1

The sequence will be; 8/49, 14/49, 20/49, 26/49

A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.

We are given that the sequence as;

8/49, 2/7, 20/49, 26/49

so, we can see the pattern as the denominator is the multiple of 7.

So multiply the second term by 7.

2/7 = 14/49

therefore, the sequence will be;

8/49, 14/49, 20/49, 26/49

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Answer: 4.2

Step-by-step explanation: First, you'd need to re-arrange the decimals so, you can get 4.65.........

Then, you round up to get about 4.7

Another way is to round up the decimals, so your new equation:

[tex]\frac{21}{5}[/tex]

Then, you'd divide to get 4.2. This way is more of an estimate than the 1st way; the 1st way is an exact answer [rounded] I hope this helped.

Answer:

  4.64

Step-by-step explanation:

You want an estimate of the quotient 21.4/4.6.

Multiplication and division by 5 are simplified by the relation ...

  5 = 10/2

Here, the denominator is about 5, so the quotient is about ...

  21.4 × 2/10 = 42.8/10 = 4.28 ≈ 4.3 . . . . . a first estimate; known to be low

We notice that 4.6 is 0.4 less than 5, which is 0.8/10 = 0.08, or 8% less. That means the actual quotient will be on the order of 8% more than 4.3.

A closer estimate would be ...

  4.3 + 0.08 · 4.3 = 4.3 +0.344 ≈ 4.64

An estimate of the quotient is 4.64.

__

Additional comment

To compute our "error correction," we rounded 4.28 up to 4.3, about 2 parts in 400, making that number (4.3) be about 0.5% high. The estimate of 1/0.92 ≈ 1.08 turns out to be about 0.7% low. This means an even better estimate would add 0.2%, or about 0.009, to the estimate we have, making it about 4.653. These second-order corrections are also slightly off. The actual quotient rounds to 4.652.

Doubling a number is so easy that we elected to keep all of the digits of the numerator when we did the division by 5. This gave a more satisfying 4.3 instead of 4 as the first estimate.

Naturally, the task did not require the values of the two variables.Each tree costs $47 and each bush is $23.

Although I don't have subtotals for the bushes and trees, I could try to add the bushes and trees to get 19 bushes and 6 trees, but this wouldn't help me at all.

So I'll choose two variables ("b" for the quantity of bushes and "t" for the quantity of trees) and construct an equational structure:

13b + 4t = 487 is the first order.

second order: 6b plus 2t equals 232.

When I divide the second row by -2, I obtain:

13b + 4t = 487

-12b – 4t = –464

Therefore, b must equal 23.

Using back-solving, I discover that t = 47.

Naturally, the task did not require the values of the two variables.

The answer, when translated back into English, is:

Each tree costs $47 and each bush is $23.

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The trigonometrical ratios of the triangle are:

sin∠X = x/z

cos∠X = y/z

tan∠X = x/y

sin∠Y = y/z

cos∠Y = x/z

tan∠Y = y/x

We will use trigonometrical ratios to solve this problem. Below are the definitions of the trigonometrical ratios:

sin = opposite/hypotenuse

cos = adjacent/hypotenuse

tan = opposite/adjacent or tan = sin/cos

The opposite is the side the angle of consideration is facing

The hypotenuse is the side the right angle  is facing

The adjacent is the side left after determining the opposite and hypotenuse

Thus, we have the following trigonometric ratios in the triangle:

sin∠X = x/z

cos∠X = y/z

tan∠X = x/y

sin∠Y = y/z

cos∠Y = x/z

tan∠Y = y/x

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If a randomly selected purchaser has an extended warranty the probability that he or she has a basic model is 0.3940.

By employing the criteria that certain events have occurred, the Bayes Theorem allows us to determine the posterior probability. 

Given that,

E: Purchaser has extended Warranty.

A: He chooses a basic model.

B: He chooses a deluxe model.

P(A) = 0.42

P(B) = 0.58

P(E/A) = 0.44

P(E/B) = 0.49

The probability that a randomly selected customer has an extended warranty is given by:

P(E)= P(E/A)*P(A)+P(E/B)*P(B) = 0.44*0.42 + 0.49*0.58= 0.469

If a randomly selected purchaser has an extended warranty the probability that he or she has a basic model is given by:

P(A/E)= P(E/A)*P(A)/P(E) = 0.44*0.42/0.469 = 0.3940

Thus, If a randomly selected purchaser has an extended warranty the probability that he or she has a basic model is 0.3940.

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On solving the provided question we can say that the polynomial is x² + 6x + 8  by factorization are x(x-5) - 1(x-5) ⇒ (x-1)(x-5) ⇒ x = 5, 1

A number or other mathematical object is factored, or written as the product of numerous factors—typically smaller or simpler things of the same kind—in mathematics. For instance, the integer 15 is factorized as 3 5, which is the factorization of the polynomial x2 – 4. Factorization in mathematics refers to the breakdown of a number into smaller numbers that are multiplied together to produce the original number. Factorization is the division of a number into its factors or factors. 12 is multiplied by 3 and 4 as an example.

the polynomial is

by factorization are

x(x-5) - 1(x-5)

(x-1)(x-5)

x = 5, 1

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Answer:

Just put

a)

b)

c)

in the first column.

Next, substitute the values in the respective places.

For example, next to the a) and -3, put the value of y = x² + 1

In this case, 9 + 1 or 10

So, put 10 in the top left of the white spaces.

Hope you know what to do now.

Thanks

Answer:

Step-by-step explanation:

Answer:

The total boxes would be 625,000

Step-by-step explanation:

5,000,000÷8=625,00

If you have 5,000,000 toys and each box holds 8 toys, you need to divide the number of toys that will fit into a box from the total number of toys

Answer:

There are several ways to write a proof, depending on the level of rigor and formality required. Some common methods include:

1- Direct proof: A direct proof is a logical argument that begins with the premises and uses logical deduction to arrive at the conclusion.

2- Proof by contradiction: A proof by contradiction starts by assuming the opposite of what needs to be proven and then showing that this leads to a contradiction.

3- Proof by contrapositive: A proof by contrapositive is a proof that starts by assuming the negation of the desired conclusion and then showing that this leads to the negation of the premises.

4- Proof by induction: A proof by induction is a proof that starts by showing that a statement is true for the first few natural numbers, and then showing that if it is true for a particular natural number, it must also be true for the next natural number.

5- Proof by construction: A proof by construction is a proof that shows the existence of a mathematical object by giving an explicit construction of it.

6- Proof by exhaustion: A proof by exhaustion is a proof that considers all possible cases and shows that in each case the statement is true.

7- Proof by casework: A proof by casework is a proof that is split into several cases, each of which is considered separately.

8- Proof by diagram: A proof by diagram is a proof that uses a visual representation to show that a statement is true.

These are some of the common ways of writing proof, and there could be other ways as well. It is important to use the most appropriate method for the problem at hand, and to clearly explain and justify each step of the proof.

The 3rd-degree polynomial has at least one or three real roots.

Yes, a third degree polynomial can have all real roots. This is because a third degree polynomial has at least one real root, as it is the lowest degree polynomial that can have an imaginary root. The other two roots can be real or imaginary, depending on the coefficients of the polynomial. If the discriminant of the polynomial is greater than or equal to zero, the polynomial will have all real roots. In a cubic polynomial, only one or three real roots are present. Polynomials having odd degrees have at least one real root. A cubic equation's graph must at least once cross the x-axis, giving you at least one real root. Only a quadratic polynomial has two real roots. Quadratic polynomials are those having a degree of two. Polynomials can be represented on the graph, on that basis we can determine whether the roots are real or not.

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On solving the provided question, we can say that the linear equation, will be  10.50x + 12.50y = 4 => x = 23.1 => y = 3.21

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

a large pizza costs =  $10.50 with no toppings other than cheese

Jason wants 4 toppings on his pizza for a cost of =  $12.10

the linear equation, will be

10.50x + 12.50y = 4

x = 23.1

y == 3.21

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The value of a and b is 1.

The probability that Nate places the disk so that it is touching an equal number of shaded and unshaded squares is ab, where a and b are integers.

To find the value of a and b, we need to determine the total number of ways Nate can place the disk (the denominator of the probability fraction) and the number of ways he can place the disk so that it touches an equal number of shaded and unshaded squares (the numerator of the probability fraction).

Since the center of the circle must be at the meeting point of four squares, the only possible places for the center are the points where four squares meet. Since the grid is made of 2 cm x 2 cm squares, there are 4 shaded squares and 4 unshaded squares. So, there are 4 centers that could be placed on a shaded square and 4 centers that could be placed on an unshaded square.

So the denominator of the probability fraction is 8.

Now, to calculate the numerator, we need to determine the number of ways Nate can place the disk so that it touches an equal number of shaded and unshaded squares.

As the center of the circle is at the meeting point of four squares, the center of the circle is placed at the intersection of 2 shaded and 2 unshaded squares.

So, the numerator of the probability fraction is 8.

Therefore, the probability that Nate places the disk so that it is touching an equal number of shaded and unshaded squares is 8 ÷ 8 =1.

So the value of a and b is 1.

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The value of x from the triangle is x = 30

The relationship between a triangle's sides and angles is provided by the Law of Sines. Trigonometry's law of sines can be expressed as a/sinA = b/sinB = c/sinC, where a, b, and c are the lengths of the triangle's sides, and A, B, and C are the triangle's respective opposite angles.

Law of Sines :

a / sin A = b / sin B = c / sin C

Given data ,

Let the triangle be represented as ABC

Now , the length of the side b = x

The length of the side a = x + 2

The measure of sin A = 4/5

The measure of sin B = 3/4

So , to find the value of x , we use the law of sines

a / sin A = b / sin B

Substituting the values in the equation , we get

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

On simplifying the equation , we get

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

Multiply by 3 on both sides of the equation , we get

15 ( x + 2 ) / 4 = 4x

Multiply by 4 on both sides of the equation , we get

15 ( x + 2 ) = 16x

15x + 30 = 16x

Subtracting 15x on both sides of the equation , we get

x = 30

Therefore , the value of x is 30

Hence , the value of x is 30

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Answer:

-8

Step-by-step explanation:

(-2)^3 X (-2)^7 / 3X 4^6

= (-8) X (-128) / (3 X 4096)

= 1024 X -128 / 12288

= -128/12

= -8/1

So the final answer is -8

Answer:

1.398101×10^6

Step-by-step explanation:

(-2)^3×(-2)^7/3 ×4^6

=4194304/3

=1.398101×10^6

We may calculate the corresponding value of z = 1.476 using a conventional normal right-tailed z-table.

Find the value corresponding to one decimal place of the z-score by first looking at the left side column of the z-table (e.g. whole number and the first digit after the decimal point). It is 1.0 in this instance. We then look up the last number, which in our example is 0.09, from across table (on top).

The amount of standard deviations a scoring or value (x) is from the mean is the number of Z scores (Z value). Z-score quantifies data dispersion in other terms. Z-score, informally, indicates however many standard deviations a number (x) is below or above population mean (µ).

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Answer:

the first one

Step-by-step explanation:

using the vertical line rule, we can see that a vertical line would intersect the first graph more than once at any point to the right of the vertex. this cannot be said for the other graphs

Answer:

x = 1/2

y = 7/2

Step-by-step explanation:

Mate, you almost solved the question there by yourself.

You were at the last step.

-6x + 3 = 0

Add 6x on both sides,

-6x + 3 + 6x = 6x

3 = 6x

Divide 6 on both sides,

3/6 = 6/6 x

1/2 = x

So, y = 7x

y = 7/2

Answer:

Francesca

Step-by-step explanation:

Four complex numbers are present. fulfilling the following equations of a sequence of complex numbers is √3, - √3, √15 i, - √15 i .

A sequence is an arrangement of numbers, or "terms." Terms like 2, 5, and 8 are examples. By taking advantage of a specific pattern some sequences use, they can be made to go on forever. To continue the sequence, add 3 and use the example of 2,5,8. In a succession of words, there exist formulas that show where to look. In mathematics, a sequence is a collection of items that are arranged in some manner (or events). Because it has parts, it is similar to a set (also called elements or terms). The length of the sequence is defined as the total, possibly unlimited number of ordered objects. arranging two or more elements in a sensible sequence. Chronological.

given

Complex conjugation refers to the real line's reflection of the complex plane. Z or z can be used to represent the complex conjugate of z. Similar real and imaginary parts exist in the complex conjugate, but with the opposite sign on the imaginary portion.

This means that z=a+ib follows from z=a+ib.

Four complex numbers are present. fulfilling the following equations of a sequence of complex numbers is √3, - √3, √15 i, - √15 i .

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The possible values for f and g are -2, 2, -4, 4, -1, 1.

What is inequality?

A solution for an inequality in x is a number such that when we substitute that number for x we have a true statement. So, 4 is a solution for example 1, while 8 is not. The solution set of an inequality is the set of all solutions.

If fg^2 = 32, then either fg = ±4, ±2, or ±1. If f < 20 and g < 20, then the possible values for f and g are:

f = 2, g = 4

f = 4, g = 2

f = 1, g = 4

f = 4, g = 1

f = 2, g = 2

f = 1, g = 1

Hence, the possible values for f and g are -2, 2, -4, 4, -1, 1.

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Answer: x = 3

Step-by-step explanation: Plug g(x) in to get 11 = 3x+2. Do algebra and you get x = 3

A student at Big Sky Middle School are more likely to get a t-shirt than a student at High Peaks High School.

(a) To calculate the probability of getting a t-shirt if you are a student at the middle school, we divide the number of t-shirts being given away by the number of students at the school.

Probability of getting a t-shirt at the middle school = 40 / 350 = 4/35 = 0.114 or 11.4%.

(b) To calculate the probability of getting a t-shirt if you are a student at the high school, we divide the number of t-shirts being given away by the number of students at the school.

Probability of getting a t-shirt at the high school = 75 / 800 = 3/32 = 0.094 or 9.4%.

(c) From the above calculations, it is clear that you are less likely to get a t-shirt if you are a student at the high school (9.4%) than at the middle school (11.4%).

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Answer:

1000

Step-by-step explanation:

\log _{10}\left(5\right),\:500,\:2\log _{10}\left(5\right),\:2+\log _{10}\left(4\right),\:32+\log _{10}\left(4\right),\:8

Your adjusted gross income (AGI) consists of the total amount of income and earnings you made for the tax year minus certain adjustments to income. The dollar amount on line 10 is calculated by subtracting the standard deduction and personal exemptions from the taxable income.

Line 10 on the 1040EZ form is labeled "Taxable income" and is used to calculate the amount of taxes owed to the IRS. Line 11, labeled "Tax," is used to enter the amount of taxes already paid, either through withholding or estimated payments.

If $4184 is on line 11 and the taxpayer will neither receive a refund nor owe the IRS, that means that the amount of taxes already paid, $4184, is equal to the amount of taxes owed, which is calculated on line 10.

Therefore, the dollar amount on line 10 would also be $4184. This indicates that the taxpayer's taxable income and their taxes already paid are equal, resulting in no additional taxes owed or refund due.

It's worth noting that the dollar amounts on line 10 and line 11 are not directly related, the dollar amount on line 10 is calculated by subtracting the standard deduction and personal exemptions from the taxable income.

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As per the given ratio, the diameter for the circle A is 8 cm.

The term diameter in math is defined as a straight line that goes from one side to the other side of a circle, passing through the center

Here we have given that Circle A is in the interior of circle B. The diameter of circle B is 16 cm.

And we need to find  the diameter of circle A in which the ratio of the shaded area to the area of circle A is 3:1.

While we looking into the given diagram, here we know that the area of the shaded region plus the area of circle A equals the Area of Circle B.

As we know that since the shaded area of the circle, 3:1,

And here we also have

=> 3x + x = 64π

When we simplify this one then we get,

=> 4x = 64π,

Then the value of x = 16π.

Here we have to directly we get

=> π x p² = 16π,

Then the value of

=> r² = 16

=> r = 4.

Here we must know that length can't be negative!

Therefore the diameter of circle A is

=> 4* 2 = 8 cm.

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Since X, Y, and Z are independent random variables, the probability of one event occurring has no bearing on the likelihood of the other events. In this instance, the probabilities of X, Y, and Z are 30%, 40%, and 20%, respectively.

We must take into account the possibility that both events could occur simultaneously when determining the likelihood that either X or Y will occur. The occurrences where both X and Y occur would be doubly counted if we just added the probabilities of X and Y. To circumvent this, we employ the following formula for the chance of two events occurring together:

P(X or Y) = P(X) + P(Y) - P (X and Y)

This formula takes into account the fact that we must deduct the probability of X and Y's intersection (i.e., the likelihood that they both occur) from the total of each variable's individual probabilities.

Given that X and Y are independent events, P(X and Y) = P(X) * P(Y) = 0.3 * 0.4 = 0.12 is known.

P(X or Y) is therefore equal to P(X) + P(Y) - P(X and Y) = 0.3 + 0.4 - 0.12 = 0.68 = 68% 

 So, according to option most approximately option is A.

Therefore, 70% would be the most accurate response.

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