Two numbers have a sum
of 12. The same two numbers have difference of 4. What are the two numbers?

The appropriate numerical values to fill out Melissa's table using the area of the square are:

(A) 13√2 or 18.384776 ft.

(B) 42.25 square ft.

(C) 12.13466 ft.

(D) 49 square ft.

The area is the total amount of space that an object's shape or a flat (2-D) surface occupies.

Create a square on paper by using a pencil.

Two dimensions make it up.

A shape's area on paper is the space it takes up.

Imagine that your square is made up of smaller unit squares.

So, the area of the square:

A = x²

By changing the parameters in the formula, we obtain:

338 = x²

x = √338

x = √2 × √169

x = 13√2 or 18.384776 feet.

Following is row 2:

A = 6.5²

A = 42.25 square feet.

The following is row 3:

147.25 = x²

x = √147.25

x = 12.13466 feet.

Regarding row 4, we have:

A = 7²

A = 49 square feet.

Therefore, the appropriate numerical values to fill out Melissa's table using the area of the square are:

(A) 13√2 or 18.384776 ft.

(B) 42.25 square ft.

(C) 12.13466 ft.

(D) 49 square ft.

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Correct question:
Melissa wants to make a table representing the area of her vegetable garden for a variety of different lengths of the tomato patch. she uses her area expression to create the table. complete the table by typing the correct answer in each box. use numerals instead of words. do not round your decimal answers.

Answer:24.90

Step-by-step explanation: My brain

Answer: X = 5

Step-by-step explanation:

4x - 2 = 18

    +2    +2

4x = 20

/4     /4

x = 5

4(5) -2 =18

20 - 2 =18

18=18

Answer:

2

Step-by-step explanation:

we replace x with -3

f(-3)=2(-3)+8

f(-3)=-6+8

f(-3)=2

hopes this helps please mark brainliest

Hugo needs 15 weeks to pay back his brother completely if he pays $2 a week.

What is an equation?

An equation is written in the form of variables and constants separated by the operation of multiplication and division.

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

According to the given question:

Hugo decided to pay $2 a week to his brother to buy a bicycle.

The equation y - 10 = - 2(x – 10) models the amount of money he owes for the bike, where x is the number of weeks and y is the amount of money he still needs to pay.

To pay back to the brother he must owe no money which is y = 0.

∴ The weeks needed is,

0 - 10 = -2(x - 10).

- 10 = -2x + 20.

2x = 30.

x = 15.

He needs 15 weeks to pay back completely.

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Answer: [tex]\{4, 5, 6\}[/tex]

Step-by-step explanation:

The range of a function is the set of outputs (which is the set of [tex]y[/tex]-coordinates).

Answer:

[tex]\begin{gathered} \sf - 21 \div (2 - 5) + ( - 14) + 6 \times (8 - 4 \times 3) = \\\sf- 21 \div (2 - 5) + ( - 14) + 6 \times (8 - 12) = \\ \sf- 21 \div( - 3) + ( - 14) + 6 \times ( - 4) = \\ 7 + ( - 14) +( - 24) = \\ \sf 7 - 14 - 24 = \\ \sf - 7 - 24 = \\ \sf \green{ - 31}\end{gathered}[/tex]

When we solve combined calculations, we must first separate into terms when there is an addition or a subtraction.

Then, we solve the operations respecting the hierarchical order of the operations:

If the calculation has grouping signs, they must be solved in the following order:

Merry Christmas and Happy New Year

Answer:

negative 36

Step-by-step explanation:

You will useva method known as BODMAS its a principle of combined operations like the one above in mathematics.

B-brackets

O-Of (multipliction) ;commonly used when fractions are involved

D- division

M- multiplication

A- addition

S- subtraction

Working out:

first we will solve the brackets then rewrite the question with the answer obtained

-2-5=-7

8-4×3= minus 4

new question :

-21÷-7+-14+6×minus 4

Next is division since there is no of

-21÷-7=3

Negative divided by negative equals positive

3+minus 14 +6×minus 4

Now do multiplication 6×minus 4= minus24

3+ minus 14+minus 24=minus 36

The solution to the given inequality 2(2.1z + 4.5) < 21.6 to solve for the unknown value of z is z < 3

Inequality refers to a statement that is of two quantities in which one is specifically less than (or greater than) another.

The symbols of inequality includes;

2(2.1z + 4.5) < 21.6

open parenthesis

4.2z + 9 < 21.6

substract 9 from both sides

4.2z < 21.6 - 9

4.2z < 12.6

divide both sides by 4.2

z < 12.6 / 4.2

z < 3

Hence, z < 3 satisfies the value of z in the inequality 2(2.1z + 4.5) < 21.6

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Answer: (0,2)

Step-by-step explanation:

to find the y intercept, solve for f(x) when x = 0

f(0) = 2(3)^0 = 2(1) = 2

therefore the coordinates of the y intercept are (0,2)

Answer:

4(10+x)

Step-by-step explanation:

find the gcf: 4

divide everything by the gcf: 4(10+x)

Answer:There are 3 answers 4(10+x), 4(10)+4(x), 40+4x

The approximate percentage of women with platelet count between 3 and 4.1 is 350

We should know that platelet deals the cells that are found in our body which assemble together when they discover bad blood in the cells.

The range of women is given as 3-4.1

The average of the women is [tex]\frac{3+4.1}{2}=\frac{7.1}{2}[/tex]

Simplifying the expression we have

= 3.5

The appromimate percentage is 3.1*100=350 women

In conclusion the approximate percentage of women with blood platelet is 350 women

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The answer for all 3 of the boxes is 3. The number of observations for each class interval of a variable is shown in group frequency distributions.

DISTRIBUTION OF GROUPED FREQUENCIES

The greatest score is H, while the lowest is L.

By dividing the range by a number of groupings or classes, you can estimate the class width w.

Establish the class intervals.

Add up the scores for each period in the appropriate number.

The shopping time (in minutes) of the nine shoppers are:

15, 16, 18, 20, 22, 25, 27, 28, 29 (just to make it easier to read, I rearranged  everything from least to greatest.)

We can see, that 3 shoppers shopped for 15-20 minutes.

And, 3 shoppers shopped for 21-26 minutes.

And finally, 3 shoppers shopped for 27-32 minutes.

So the answer for all 3 of the boxes is 3.

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Answer:

Step-by-step explanation:

The slope of a line is defined as the change in y-coordinate divided by the change in x-coordinate between two points on the line. In this case, the change in y-coordinate between the two points is -11 - (-1) = -10, and the change in x-coordinate is 0 since both points have the same x-coordinate. Therefore, the slope of the line that passes through the points (-8, -1) and (-8, -11) is -10/0, which is undefined.

Step-by-step explanation:

2 1/4 = 9/4

9/4 ÷ 4

9/4 x 1/4

9/16

so neither of these answers?

By using exponent, it can be calculated that

[tex](-2ab)^3 (-a^2b)[/tex] = [tex]8a^5b^4[/tex]

What are exponent?

Exponent tells us how many times a number is multiplied by itself.

For example : In [tex]2^4 = 2 \times 2 \times 2 \times 2[/tex]

Here, 2 is multiplied by itself 4 times.

If [tex]a^m = a \times a \times a .... \times a[/tex] (m times), a is the base and m is the index.

The laws of indices are

[tex]a^m \times a^n = a^{m + n}\\\\a^m\div a^n = a^{m - n}\\\\(ab)^m = a^mb^m\\\\(\frac{a}{b})^m = \frac{a^m}{b^m}\\\\a^0 = 1\\\\(a^m)^n = a^{mn}[/tex]

Now,

The given expression is

[tex](-2ab)^3 (-a^2b)[/tex] =

[tex](-8a^3b^3)(-a^2b)\\[/tex]

[tex]8a^{3+2}b^{3+1}[/tex]

[tex]8a^5b^4[/tex]

So, the expression [tex](-2ab)^3 (-a^2b)[/tex] is simplified [tex]8a^5b^4[/tex]

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Answer:

2 per day

Step-by-step explanation:

Seven to the one third is the  power all raised to the third of the  power equals seven to the one of the third times three of  power equals to seven.

Power is the amount that is  the energy of to transferred or the converted per the unit.

Applying Power of a Power Property,

(X^a)^b= x^a×b

i.e. a power to the power, multiply by the exponents  as

7^1/3 =√7

√7=7^1/3

We have given, seven to the  one third power equals to  the cube root of seven of

7^1/3=√7

√7= 7^1/3

Raise to the third power,

[7^1/3]^3

Applying the property ,

7^3/3=7^1 =7

i.e. seven to the one thirdly power all of the raised to the thirdly power equals to  seven to the one of  third times of  three power equals to the  seven.

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-17 can be expressed as the sum of its integer and decimal parts.

-6.75+(-10.25)

Remove parentheses: (-a)=-a

=-6.75-10.25

Subtract the numbers: -6.75-10.25=-17

=-17

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers.

An integer, pronounced "IN-tuh-jer," is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. The following numbers are examples of non-integer numbers: -1.43, 1 3/4, 3.14,.09, and 5,643.1.

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Answer:

The radius of the cylindrical base (and of the hemisphere) is 10.2 ft.

Answer: The new price for a hot pretzel is 1.50

Step-by-step explanation: 200*75/100=150

3360, 8 digit codes could she make using the digits in her birthday.

What is the 4 digit code?

A quick, thorough, and evidence-based method for diagnosing the full range of outcomes seen in people who have had prenatal alcohol exposure is the 4-Digit Code.

Given the date:

Birth date = 12/24/2002       06/10/1961

Number of digits = 8 = 8! = (8*7*6*5*4*3*2*1) = 40320

Repeated digits :

digit 6 = 2 times = 2! = 2*1 = 2

digit 1 = 3 times = 3! = 3*2*1 = 6

Therefore the number of 8 digit codes that can be formed is :

8! / (2! * 3!)

40320 / (2 * 6)

40320 / 12

= 3360

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The local maxima is(1,0) , local minima is indefinite and the saddle point is (1,0).

As per given in the question ,

f(x,y)=[x2+1 ]

          [-2y   ]

The critical points are therefore (1,0) and (1,0).

The Hessian is currently

∇²f(x,y)=[−2x     0

               0     −2]

2 and 2 are the eigenvalues of the function 2f(1,0).

As a result, (1,0) is a saddle point and 2f(1,0) is indefinite.

Two and two are the eigenvalues of 2f(1,0).

As a result, (1,0) is a maximum and 2f(1,0) is negative definite.

Critical point: If f (p) = 0, then a point p U is f's critical point.

In light of this, the tangent plane to z = f when f is differentiable (x) at (p, f (p)) is horizontal.

Theorem: Assume that f exists and possesses a local extremum at position p. Then, p is a f critical point, with the result that f (p) = 0.

Example: Take into account f (x, y) = x 2 y 2. Once again demonstrating that (0, 0) is the only crucial point of f, fx = 2x = 0 and fy = 2y = 0

However, (0, 0) is not a f local maxima.

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Therefore the equation for the the graphed line's parallel, which also passes through (4, 1), is y = -2*x + 9

Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For instance, the formulas 3x + 5 and 14 make up the equation 3x + 5 = 14, with the word "equal" between them.

Here,

If two lines have the same slope, they are considered to be parallel.

This will allow us to determine the equation for the line that is perpendicular to the graphed line and goes through the points (4, 1): y = -2*x + 9.

Let's try to locate the line as follows:

Finding the graphed line's slope is the first step towards locating the line.

Keep in mind that a generic statement is anything like:

y = a*x + b

where a represents the slope and b the y-intercept

If the line does indeed travel through the points (x1, y1) and (x2, y2), then the slope of that line can be expressed as follows:

[tex]m=\frac{y_{2}- y_{1}}{x_{2} -x_{1} }[/tex]

As seen below, the graphed line crosses (-3, 3) and (-2, 1). The slope will therefore be:

[tex]m=\frac{1- 3}{2 -(-3) }[/tex]

Since the parallel line's slope is likewise 2, it will look somewhat like this:

y = -2*x + c

Using the knowledge that this line passes through, we may determine the value of c. (4, 1).

Thus, y = 1 must exist when x = 4.

When we swap these out in the line equation, we get:

-2*4 + c = 1

-8 + c = 1

1 + 8 = c = 9

Therefore the equation for the the graphed line's parallel, which also passes through (4, 1), is y = -2*x + 9

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1/34 is the probability of cards are not returned to the deck.

What does the math term "probability" mean?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out.

                                   Statistics is the study of events subject to probability.

A = the first card of ace.

B = Drawing two ace from a standard deck

P(AB) = ²C₄ / ²C₃₂

P(A) = ¹C₄ ¹C₅₁ / ²C₃₂

P(B/A) =P(AB)/P(A)

           = ²C₄ /  ²C₃₂ *  ²C₃₂ /  ¹C₄ ¹C₅₁

            = ²C₄ /¹C₄ ¹C₅₁

             = 1/2 * 17

             = 1/34

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Answer: To find the value of f(5), we need to substitute 5 for x in the expression f(x) = 8x+5. This gives us:

f(5) = 8*5+5 = 45

So, the value of f(5) is 45.

There are 15 two-point questions and 5 four-point questions.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Let x be two-point questions and y be four-point questions. We know that there are 20 questions so the number of two-point questions plus the number of four-point questions equals 20. So x + y = 20. We also know that the total number of points is 50, so 2x + 4y = 50.

Solving the system:

1) x + y = 20

2) 2x + 4y = 50

Isolate x in 1) to get x = 20-y, then plug into 2)

2(20-y) + 4y = 50

2y=10  

y = 5,

It means that there are 5 four-point questions. Plug y = 5 into either equation to get x = 15 so there are 15 two-point questions.

x + y = 20

x + 5 = 20

x = 15

Hence, there are 15 two-point questions and 5 four-point questions.

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Answer:

Step-by-step explanation:

the test ha 65 questions worth points and 5 questions worth 4 points

Ummi's quotients in this situation represent the unit rates of the advertisement

You will not be able to draw a straight line through the points

From the question, we have the following quotients parameters that can be used in our computation:

2.90/10 = 0.29/1 3.48/12 = 0.29.1 4.48/16 = 0.28.1

These can be rewritten as

2.90/10 = 0.29/1

3.48/12 = 0.29/1

4.48/16 = 0.28/1

The quotients mean that

Unit rate = Total amount spent/Number of adverts

So, the quotient expressions represent the unit rate

Recall that

2.90/10 = 0.29/1

3.48/12 = 0.29/1

4.48/16 = 0.28/1

The values of the quotients are not equal

This means that it is not possible to draw a straight line through the points

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Yes, the triangle formed by joining the points A (1, 9), B (7, 1), and C (−5, 1) isosceles

Having three sides, three angles, and three vertices, a triangle is a closed, two-dimensional object.

A polygon also includes a triangle.

Triangles have three sides.

Triangles have three sides. The sides of the triangle ABC are AB, BC, and CA.

The angle of a triangle is represented by the symbol and represents the angle created by any two of its sides.

Three angles make compose a triangle. The triangle ABC has the following three angles: ABC, BCA, and CAB. The names of these angles are B, C, and A, respectively.

The point of intersection of any two sides of a triangle is known as a vertex.

A triangle's vertex is the location where any two of its sides cross. The vertices of a triangle are three. The vertices of the triangle ABC are A, B, and C.

Hence, Yes, the triangle formed by joining the points A (1, 9), B (7, 1), and C (−5, 1) isosceles.

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Answer:

Step-by-step explanation:

If x equals -2 then you multiply 3 times -2 which equals -6 then add 1. Your total then is -5. Y equals -5