What does total change in math
mean ?

Answer:

C

Step-by-step explanation:

If x = -5 or x = 2 the function doesn’t exist

If x = 0  , y = 0

Answer:

3 cups

Step-by-step explanation:

let's assume that sari made pancake batter in a jar.

1 jar is equivalent to 4 cups

so if 1 cup of batter is left, it can be concluded that Sari uses 3 cups of batter in making pancakes.

If the digits are reversed, the sum of the new number and the original number is 143. The original number is 94.

Let x represent the unit digit of the original number

Let  tens digit =2x+1

Let the number = 10(2x+1)+x=21x+10

Assuming the digits are reversed

Tens digit = x

Unit digit =2x+1

Reversed number = 10x+2x+1=12x+1

So,

(21x+10)+(12x+1)=143

Collect like terms

33x+11=143

33x=132

Divide bot side by 33x

x = 143/33

x=4

Original number:

Original number =21×4+10

Original number = 84 +10

Original number =94

Therefore the original number is 94.

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Answer:

(1,3)

Step-by-step explanation:

The solution to a system of equations graph is the point of intersection of the two lines.

In this case the point where both lines meet is at x = 1 and y = 3

hence the answer being (1,3)

Answer: 1/3

Step-by-step explanation: 4/5 + 3/15 is equal to 12/15 + 3/15

12/15 + 3/15 = 1

1/1 - 2/3 is equal to 3/3 - 2/3

3/3 - 2/3 = 1/3

Answer:

152°

Step-by-step explanation:

the sum of the exterior angles of a polygon = 360°

let x be the measure of the fifth exterior angle , then

92° + 73° + 63° + 104° + x = 360°

332° + x = 360° ( subtract 332° from both sides )

x = 28°

then

interior angle + exterior angle = 180° , that is

interior angle + 28° = 180° ( subtract 28° from both sides )

interior angle = 152°

the exterior angles of a polygon is 360°

92 + 73 + 63 + 104 = 332

360 - 332 = 28° is the measure of the fifth interior angle.

[tex] - b + |b| - 4ac[/tex]

x = 8

Step-by-step -e-x-p-l-a-n-a-t-i-o-n- below

The angles shown are vertical angles

Vertical angles are congruent (equal to each other)

This means that 8x + 36 = 5x + 60

Using this equation we can solve for x

8x + 36 = 5x + 60  

==> subtract 36 from both sides

8x = 5x + 24

==> subtract 5x from both sides

3x = 24

==> divide both sides by 3

x = 8

Answer:

[tex]\huge\boxed{\sf x = 8}[/tex]

Step-by-step explanation:

8x + 36 = 5x + 60 (Vertically opposite angles are equal)

Subtract 5x to both sides

8x - 5x + 36 = 60

3x + 36 = 60

Subtract 36 to both sides

3x = 60 - 36

3x = 24

Divide 3 to both sides

x = 24/3

[tex]\rule[225]{225}{2}[/tex]

The probability of a student playing a sport but not playing an instrument is around 0.4286.

The likelihood of a student not playing an instrument, provided they play a sport, is:
[tex]Probability=\dfrac{Number\ of\ students\ who\ play\ a\ sport\ but\ do\ not\ play\ an\ instrument​}{Number of \students\ who\ play\ a\ sport}[/tex]

It is known that 14 students participate in a sport, while 8 students do not engage in either a musical instrument or a sport. Thus, the number of students who play a sport but do not play an instrument is:

Number of students who play a sport but do not play an instrument = 14- 6
                                                                                                                 = 6
Now, let's calculate the probability:

Probability = 6/14
                  = 0.4286

Rounded to four decimal places, the likelihood of a student playing a sport but not playing an instrument is approximately 0.4286.

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​

The total student increases by 10.85% from last year.

A relative value indicating hundredth parts of any quantity is called percentage.

Given that, last there were 125 boys and 50 girls, and it increased by 12% and 8% next year,

Total students last year = 125+50 = 175

Boys increased = 125x112/100 = 140

Girls increased = 50x108/100 = 54

Total students current year = 140+54 = 194

Percentage increase = (194-175)/175x100 = 10.85%

Hence, The total student increases by 10.85% from last year.

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The standard error is 153.125

The population mean's likelihood to deviate from a sample mean is indicated by the standard error of the mean, or simply standard error. It reveals how much the sample mean would change if the research were to be repeated with fresh samples drawn from a single population.

The standard error is a measure of variability, just as the standard deviation. Standard error, on the other hand, reflects variability over numerous samples of a population, whereas standard deviation describes variability within a single sample.

being that

The sample size is 256.

The average is $35,420.

And $2,450 is the standard deviation.

We must ascertain the standard error.

The fact that

= random sample standard deviation

= 2450 ÷ √256

= 2450 ÷ 16

= 153.125

Consequently, 153.125 is the standard error.

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Answer:

1.5,3

Step-by-step explanation:

Hope this helps it's all I could find I'm sorry

Ooo! It's fall and Thanksgiving time! I gotta get ready for Thanksgiving and for my friends to come over! Fun! - Ash the Fox

Answer:

U MEANS UNION

{-8,-4,0,4,8,12,16,20}  U {-3,-2,-1,0,1,2,3,4,5,6} BECOMES

{0, 1, 2, 3, 4, 5, 6, 8, 12, 16, 20, -1, -8, -4, -3, -2}

happy learning!

Answer:

Ann’s work is correct

Step-by-step explanation:

The amount owed at the end of the 6 years duration is $10865

The given parameters about the compound interest are

Principal Amount, P = $5300

Interest Rate, R = 8%

Time, t = 6 years

To calculate the amount owed, we make use of the following formula

A = P + CI

Where

Compound interest, CI = P(1 + R)^t - P

So, the equation becomes

A = P + P(1 + R)^t - P

Evaluate the like terms

A = P(1 + R)^t

In this question, the formula is given as

A = P(1 + r/n)^nt

Where

n = 12, i.e compounded monthly

Substitute the known values in the above equation

A = 5300 * (1 + 8%/12)^(6*12)

Express 8% as decimal

A = 5300 * (1 + 0.08/12)^(6*12)

Evaluate the sum

A = 5300 * (1.01)^(6*12)

Evaluate the exponent

A = 5300 * 2.05

Evaluate the product

A = 10865

Hence, the value of the amount after 6 years is $10865

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The solution for the system of equations shown in this graph is (-2, 1)

In this question, we need to determine the solution for the system of equations shown in this graph.

From given graph of system of equations we can observe that the  system of equations represent lines intersected at point.

This means that the system of equations has a solution.

The point of intersection of given line is (-2, 1)

Therefore, the solution for the system of equations shown in this graph is (-2, 1)

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The perimeter of the triangle is 64 when the triangle is ZTW.

Given that,

In the picture we have a triangle ZWT.

The U and V are mid points of WT and Y and X are midpoints of ZW.

We have to find the perimeter of the triangle.

We get the sides

ZT=22

We have,

TU/ZY= UV/YX= VW/XW  (Thales theorem)

6/8= a/12= 3/b

3/4=a/12= 3/b

Take,

3/4=a/12

a=3/4×12

a=3×3

a=9

Take,

3/4=3/b

b=3×4/3

b=4

The side TW=6+9+3=18

The side ZW=8+12+4=24

The perimeter of the triangle is sum of the sides.

The perimeter of the triangle=ZT+ZW+TW

The perimeter of the triangle= 22+24+18

The perimeter of the triangle= 64

Therefore, The perimeter of the triangle is 64 when the triangle is ZTW.

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By using properties of triangle, it can be calculated that

RS = 1.183 RT

What is a triangle?

A triangle is a three sided two dimensional figure. A triangle has three sides and three interior angles

By using properties of triangle,

[tex]\frac{RT}{sin \angle S} = \frac{RS}{sin \angle T}\\\\ \frac{RT}{sin 50} = \frac{RS}{sin 65}\\\\ \frac{RT}{0.766} = \frac{RS}{0.906}\\\\ RS = \frac{0.9606}{0.766}RT\\RS = 1.183RT[/tex]

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Answer:

4x²

Step-by-step explanation:

2x × 3x - 2x²

= 6x² - 2x²

= 4x²

In the coordinate axis the point D is located at the position of (5,-2) .

In the given graph of the coordinate axis , we can see that the four points A,B,C and D are located

The coordinates of each point are :

A (-5,-2)

B (-2,5)

C (2,-5)

D (5,-2)

Therefore using the given abscissae and ordinate of the points the point that is located at (5,-2) is D.

A coordinate system in geometry is a way to use one or more integers, or coordinates, to determine the exact placement of points or other geometrical objects on a manifold, such Euclidean space.

The order of the coordinates is crucial, and they are frequently identified by their position in an ordered tuple or by a letter, such as "the x-coordinate." The coordinates are often real values in elementary mathematics, but they could also be complex numbers or parts of a more abstract system, such a commutative ring.

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The required point-slope form of the equation of the line is y - 5 = -4(x + 1).

Given that, To determine an equation in point-slope form for the line that passes through the point with the given slope. point: (-1, 5) and m=-4.

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,

The point-slope of the equation of the line is given by,

y - y₁ = m(x - x₁)

Put the values in the above equation of the line

y - 5 = -4 (x - (-1))

y - 5 = -4 (x + 1)

Thus, the required point-slope form of the equation of the line is y - 5 = -4(x + 1).

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The probability that the sample mean falls between 4800 psi and 5200 psi is 0. 0.9973.

Probability refers to the numerical descriptions of how likely an event is to occur. For the given information, the mean µ = 5000 psi and standard deviation σ = 400 psi.

For a random sample, n = 36, in order to determine the probability that the sample mean falls between 4800 psi and 5200 psi, the z test statistics for the range must be calculated.

z = (x - µ)/ (σ/√n) = (4800 - 5000)/ (400/√36) = -3

z = (x - µ)/ (σ/√n) = (5200 - 5000)/ (400/√36) = 3

Hence, the probability that the sample mean falls between 4800 psi and 5200 psi would be p ( -3< z < 3).

From the table,

p ( -2.4 < z < 2.4) = 0.9973

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Answer:

10

Step-by-step explanation:

If y is three, add 2+3, then multiply by 2, so the answer would be ten.

The length of one slice of a large pizza is 8 inches.

A circle is a two-dimensional figure with a radius and circumference of 2 x pi x r.

The area of a circle is given as πr².

We have,

A large pizza:

Diameter = 16 inches

Radius = 8 inches

Area of the pizza.

= π x 8 x 8

= 3.14 x 8 x 8

= 200.96 square inches

Pizza cut into S slices.

The area of each slice = 25.12 square inches.

The number of slices.

= 200.96 / 25.12

= 8

Now,

The length of each slice of the pizza will be its radius.

So,

Length = 8

Thus,

The length of one slice of a large pizza is 8 inches.

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Caroline leaves her house and walks north 6 blocks. She turns and heads east 8 blocks until she reaches mattie’s house.

The shortest distance between Caroline’s and Mattie’s house is 10 blocks.

If we assume this as a right angle triangle then height(BA) is 6 blocks long and base(BC) is 8 blocks

long.

Then, the shortest distance between Caroline’s and Mattie’s house will be the hypotenuse(AC) of this

triangle.

So, by applying Pythagoras theorem:

(AC)² = (BA)² + (BC)² = (6)²+(8)² = 36+64 = 100

Thus, AC = √100 = 10 block

Hence, the shortest distance we can take from Caroline’s house to reach Mattie’s house is 10 blocks.

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The value of the x is 39.

Given equation is x-4 / 5 - x+1 / 6= 1/3.

Now, to solve this we have to take the L.C.M for both the fraction s which is 30.

Multiply the equation with 30 and we will get the :

30(x-4)/5 - 30(x+1)/6 = 30/3,

6(x-4) - 5(x+1) = 10 ,

6x - 24 -5x -5 = 10,

x -29 = 10, adding 29 on both sides

x = 39

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If D is the midpoint of the segment BC then 2(BM + MD) = 2DC.

Geometry is one of the oldest branches of mathematics, along with arithmetic. It is concerned with spatial qualities such as figure distance, shape, size, and relative position. A geometer is a mathematician who works in the field of geometry.

In the given image we have a triangle in which line BC is cut into two halves at point D. This Means that D is the mid-point of line BC.

Here if segment BC is divided by point D into two halves then,

BM + MD = DC

The value of 2DC will be,

2DC = 2 (BM + MD)

Therefore, the value of 2DC will be equal to 2(BM + MD).

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Answer:

1/4

Step-by-step explanation:

[tex] \frac{1}{2} ( \frac{1}{10} + \frac{2}{5} )[/tex]

[tex] \frac{1}{2} ( \frac{1}{10} + \frac{4}{10} ) = \frac{1}{2} ( \frac{5}{10} ) = \frac{1}{2} ( \frac{1}{2} ) = \frac{1}{4} [/tex]

We can use proportional reasoning to describe that when the two quantities multiplied equal a constant.

Hence, Option (C) is correct.

What is a proportion?

A proportion is a type of ratio in which the denominator also contains the numerator. For example, the proportion of male deaths would be deaths to males divided by deaths to males plus deaths to females (i.e. the total population).

Let 'x' be the numerator and 'y' be denominator,

then one ratio is 'x/y' and its reciprocal by using the proportion would be 'y/x'

and then their multiplication will be

                               [tex]=\frac{x}{y}*\frac{y}{x} \\\\\=1[/tex]

Multiplication gave us '1', which is a constant.

Hence option (C) is the correct answer.

We can use proportional reasoning to describe that when the two quantities multiplied equal a constant.

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Answer:

[tex](x - 6)^2 + y^2 = 25[/tex]

Step-by-step explanation:

The standard form of a circle is [tex](x - x_1)^2 + (y - y_1)^2 = \text{R}^2[/tex], where [tex](x_1\text{, }y_1)[/tex] is the center point of the circle, and [tex]\text{R}[/tex] is the circle's radius.

We're given the center of our circle is (6, 0) and its radius is 5, therefore, the circle's equation in standard form is:

[tex](x - 6)^2 + (y - 0)^2 = 5^2\\\to (x - 6)^2 + y^2 = 25[/tex]

Answer:

(x - 6)² + y² = 25

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² +(y - h)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (6, 0 ) and r = 5 , then

(x - 6)² + (y - 0)² = 5² , that is

(x - 6)² + y² = 25