Write the equation of a line that is perpendicular to y=14x - 4 and passes through the point (28, 16)

Answer:

3p^3 (-p^4 + 1)

Step-by-step explanation:

The common factor of both -3p^7 and 3p^3 is 3p^3

Divide -3p^7 by 3p^3 and get -p^4

Divide 3p^3 by 3p^3 and get 1

So the factorisation is 3p^3 (-p^4 + 1)

The ratio is 1:4, which means for every 1 butterfly, there are 4 caterpillars.

This ratio represents the relationship between the number of butterflies and the number of caterpillars. In this case, the ratio is saying that for every 1 butterfly, there are 4 caterpillars. This could mean that for every butterfly that is observed, there are 4 caterpillars that are also present or for every butterfly that is caught, there are 4 caterpillars that are also caught.

This ratio may also indicate that for every butterfly that is born, 4 caterpillars are also born. It could also indicate the population ratio of butterflies to caterpillars in a specific habitat.

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The meaning of the 4! ( factorial ) in mathematics is equal to                    ( 4 × 3 × 2 × 1 ).

As given in the question,

Given expression in mathematics is written as :

4! ( factorial )

In standard form meaning of the n! ( factorial ) is given by multiplication of all the terms in decreasing order till 1.

It is expressed as:

n! = n × ( n - 1 ) × ( n - 2 ) × ( n - 3 ) × ........× 3 × 2 × (n - (n - 1) ).

Apply this formula for 4! ( factorial ) we get,

4! ( factorial )

= 4 × ( 4 - 1 ) × ( 4 - 2 ) ×( 4 - 3)

= 4 × 3 × 2 × 1

= 12

Therefore, the meaning of 4! ( factorial ) in mathematics is given by

4 × 3 × 2 × 1 .

The above question is incomplete , the complete question is :

What does 4! ( factorial ) mean in mathematics?

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Answer: solving by forming simple algebra equation

Step-by-step explanation:

8x (x is the cost of 1 volleyball)
6y (y is the cost of 1 basketball)

We know that cost of 8 volleyballs is = cost of 6 basketballs
i.e. 8x = 6y

& total money spent to buy 8 volleyballs and 6 basketballs is $960
so we can write;
8x + 6y = 960
= (6y) + 6y = 960
= 12y = 960
= y or cost of 1 basketball is (960/12) = $80

& if we want to know the value of x (cost of 1 volleyball)
8x = 6y
= 8x = 6(80)
& x = 6(80/8)
      = 6 (10) = 60

so the cost of basketball is $80 & 1 volleyball is $60

Hope it helps :)

p.s. that the equation I formed were made as if I was making an assumption & the conditions were kept uniform from the beginning, this is very applicable in day to day scenario; for e.g. when you go out with you friends to eat and have to split the bill - this assumption and division is called algebra - so value this education!

Answer:

p + s = 45

s = 2p + 5

Step-by-step explanation:

Let s = number of students.

Let p = number of parents.

p + s = 45

s = 2p + 5

Ms. Wickham folded 200 report cards and Ms. Cho folded 300 report cards, giving Ms. Cho an average of 100 report cards.

Ms. Wickham and Ms. Cho together folded 500 report cards.

Ms. Wickham folded 200 report cards

(200/500 = 2/5)

Ms. Cho folded 300 report cards

(300/500 = 3/5)

Mr. Leiva and Mr. Gamory folded 300 report cards.

Ms. Cho folded more report cards than Ms. Wickham, by

100 (300 - 200 = 100).

Ms. Wickham and Ms. Cho together folded 500 report cards, with the ratio of Ms. Wickham's report cards to Ms. Cho's being 2:3. Ms. Wickham folded 200 report cards, while Ms. Cho folded 300. At the end of the day, Mr. Leiva and Mr. Gamory folded an average 300 report cards. This meant that Ms. Cho folded more report cards than Ms. Wickham, by 100. Therefore, Ms. Cho folded 400 report cards in total, while Ms. Wickham only folded 300.

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The outer perimeter of the figure will be 62.3 ft.

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

We have to given that;

The figure is shown in figure.

Now, The total outer perimeter is,

⇒ Outer perimeter of triangle = 12.2 ft + 6 ft

                                              = 18.6 ft

And, Outer perimeter of rectangle = 14 ft + 14 ft

                                                     = 28 ft

And, Outer perimeter of semicircle = πr

                                                      = 3.14 × 10 / 2

                                                      = 3.14 × 5 ft

                                                      = 15.70 ft

Thus, The total outer perimeter is = 18.6 ft + 28 ft + 15.70 ft

                                                    = 62.3 ft

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The linear expression that is not equivalent to the other three is D) (-5x-1)+(6x + 7).

A linear expression is an algebraic expression which is composed of constants, variables, and coefficients that are related by only addition and multiplication operations. It usually takes the form of ax + b, where 'a' and 'b' are constants and 'x' is a variable. Linear expressions can be used to describe various mathematical and physical phenomena, such as the slope of a line or the volume of a cylinder.

This linear expression is not equivalent to the other three because it does not have the same coefficient for the x terms and the constant terms. The other three expressions all have the same coefficients for the x terms and the constant terms, making them equivalent.

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The perimeter of the parallelogram with the given vertices is 33.

The complete length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges.

Given that:

A = (3, 6)

B = (-5, 6)

C= (6 , -1)

D = (-2, -1)

The length of side is given by the formula:

[tex]L = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Substitute the values in the formula to find the sides of the parallelogram.

[tex]AB= \sqrt{(-5 -3)^2 + (6-6)^2} = 8\\ \\BC = \sqrt{(6+5)^2 + (-1 - 6)^2} = 13\\\\CD= \sqrt{(-2+6)^2 + (-1 +1)^2} = 4\\\\\DA= \sqrt{(3+2)^2 + (6+1)^2} = 8[/tex]

The perimeter is obtained by adding all the sides of the given two-dimensional shape.

P = 8+13+4+8

P = 33

Hence the perimeter of the parallelogram is 33.

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The greatest number of classrooms is 4, Joanne can distribute materials

5 flyers and 4 buttons.

The greatest number that can divide the numbers in equal parts.

It is called as greatest common factor or GCF.

Given:

Joanne is campaigning for class president and plans to distribute some campaign materials.

20 flyers and 16 buttons.

She wants each classroom to receive an identical set of campaign materials, without having any materials left over.

In order to find the greatest number of classrooms, Joanne can distribute materials:

We have,

the number of flyers = 20.

Number of buttons = 16

We need to find the GCF.

GCF of 16 - 1,2,4,8,16

GCF of 20-1,2,4,5,10,20

Clearly, 4 is the GCF.

Therefore, total number of classrooms = 4

Number of flyers distributed to each classroom

= Total number of flyers / Total number of classroom

= 20/4

= 5

Number of buttons distributed to each classroom

= Total number of buttons/ Total number of classrooms

= 16/4

= 4

Therefore, the Joanne can distribute 5 flyers and 4 buttons to each classroom.

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The appropriate scale for a drawing are-

The appropriate scale for a drawing that fits on a regular sheet of paper

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The correct question is attached-

The value of all four numbers will be 91, 98, 105, 112 respectively.

Let the first multiple be 7x

As the multiple of any number can be determined by simply multiplying the given number by the natural number or the counting numbers.

So, the value of the second multiple of 7 will be 7(x+1)

The value of third multiple of 7 will be = 7(x+2)

The value of fourth multiple of 7 will be = 7(x+3)

As all the multiple are consecutive so we have taken the multiplying factor as x, (x+1), (x+2) and (x+3)

From the data given in the question:

Sum = 7x+7x+7+7x+14+7x+21 = 406

=>28x+42=406

=>28x=364

=>x=(364/28)=13

So, the value of first multiple = 7x = (7*13) =91

So, the value of the second multiple of 7 will be 7(13+1)=98

The value of third multiple of 7 will be = 7(x+2)=7(13+2)=105

The value of fourth multiple of 7 will be = 7(x+3)=7(13+3)=112

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The percentage of people who are satisfied with the car are 60%.

In mathematics →

Given is that in a survey of 2000 people who owned a certain type of​ car, 1200 said they would buy that type of car again.

The percentage of people who are satisfied with the car are -

{x}% = (1200/2000) x 100

{x}% = (12/20) x 100

{x}% = 12 x 5

{x}% = 60

Therefore, the percentage of people who are satisfied with the car are 60%.

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The 40 50 90 triangle can be solved using Pythagoras theorem.

A triangle in which both legs are congruent, and the length of the hypotenuse is the length of a leg times the square root of 2.

Given:

We have 40 50 90 triangles.

A triangle with two equal legs whose hypotenuse measures one leg's length multiplied by the square root of two.

Because the length of the hypotenuse in the triangle above equals the length of one of its legs times sqrt(2), which is 3, the triangle is a 40-50-90 triangle.

So, Such type of Triangles can be solved using Pythagoras theorem.

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Answer:

Grace will be 32 years old in 2027.

Answer: she will be 32 years old.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given: Polynomial y = 5x²+3x⁶-10x-8

here, 5 is the coefficient of x², 3 is the coefficient of x⁶, -10 is the coefficient of x and -8 is the constant term.

option (D)

Answer:

down there.

Step-by-step explanation:

Look for a term that has no variables with it. Once you've found it you've found ur constant. The only such term is -8 so the constant is -8 or choice d.

hence choice d

a) Attached at the end.

b) Strong positive linear correlation.

c) The length of time is 220 minutes.

A set of dots plotted on a horizontal and vertical axis is known as a scatter plot. Because they can demonstrate the degree of connection, if any, between the values of observed quantities or events, scatter plots are crucial in statistics (called variables).

Given:

a) The Scatter plot Associated with data is attached below.

b) The Scatter plot shows the positive linear correlation between number of pieces in a jigsaw puzzle and time required for a person to complete it.

c) To complete the puzzle with 650 pieces it will take 220 minutes.

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Answer:

a)  See attachment.

b)  Strong positive correlation.

c)  247 minutes

Step-by-step explanation:

Plot the points from the given table on the given coordinate plane.

Draw a line of best fit.

(See attachment).

As the line of best fit has a positive gradient, the two variables are positively correlated.

As the line of best fit lies close to most of the points, this indicates there may be a strong correlation.

To predict the length of time it will take Dave to complete a 650-piece puzzle, locate 650 on the x-axis of the scatter plot, trace up to the line of best fit and read the y-value:

Therefore, it will take Dave approximately 247 minutes to complete a 650-piece puzzle.

As you can see, we turned the fraction 10100 into its decimal representation, 0.1, in a single simple computation.

Any number of equal portions, or parts of a whole, are described by fractions. Fractions in standard English indicate the number of pieces of a specific size. 8, 3/4 of .Part of an entire is a fraction. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. When a fraction is true, its numerator is smaller than its denominator.

With 100 as the denominator, decimal fractions in the hundredth place are written. We shall discover how each square is split into 100 equal sections in this section. A tenth is a portion that is just partially shaded. The fraction is expressed as 1/100 in decimal form.

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Answer:   The mystery number is 5.5

5.5 converts to the fraction 11/2.

=================================================

Explanation:

The phrasing "subtract 10 from the number, then square the result" leads to the expression [tex](\text{x}-10)^2[/tex]

The phrasing "Square the number, then subtract 10 from the result" means we have [tex]\text{x}^2-10[/tex]

Set those expressions equal to one another so we can solve for x like shown in the steps below.

[tex](\text{x}-10)^2 = \text{x}^2-10\\\\\text{x}^2-20\text{x}+100 = \text{x}^2-10\\\\-20\text{x}+100 = -10\\\\-20\text{x} = -10-100\\\\\text{x} = -110/(-20)\\\\\text{x}=11/2\\\\\text{x} = 5.5[/tex]

The x^2 terms cancel out in the third step (since we subtract x^2 from both sides).

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

Check:

[tex](\text{x}-10)^2 = \text{x}^2-10\\\\(5.5-10)^2 = (5.5)^2-10\\\\(-4.5)^2 = (5.5)^2-10\\\\20.25 = 30.25-10\\\\20.25 = 20.25[/tex]

The answer is confirmed.

The value of x in its simplest radical form is (25)^1/3

When a given number is in the form of a whole number, it is said to be an integer. Thus it can not be in the form of a fraction or does not have a decimal part. Examples include: 20, 345, 10, etc.

Radical form is a type of number which is expressed with a square root. This it could give a whole number or a number with a decimal part as the final answer.

To solve for x in either as an integer or in its simplest radical form;

-42 = 8 - 2x^3

-42 - 8 = -2x^3

- 50 = -2x^3

divide through by -2 to have;

x^3 = 25

find the cube root of both sides,

x = 25^1/3

Therefore in it simplest radical form, the value of x is 25^1/3

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Answer:180 degrees

Step-by-step explanation: add the angles

Considering  the given triangle, the information given helped to apply similar triangle principle to determine v to be 3.9

This is a term used in geometry to mean that the respective sides of the triangles are proportional and the corresponding angles of the triangles are congruent

Hence assuming the corresponding angles of the triangle are congruent then the side should be in proportions

Examining the figure shows that pair of equivalent sides are

TS and TR , SU and QR

The solution is worked out using sides WX and XV, WY and YU

TS / TR = SU / QR

TS / TR = 1/2 since it is a mid segment

1 / 2 = (19v - 38) / (-5v + 96)

-5v + 96 = 2 * (19v - 38)

-5v + 96 = 38v - 72

96 + 72  = 38v + 5v

168 = 43v

v = 3.9

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Solving for x and y intercepts when given an equation:

X-intercept:

[tex]2x-5(0)=20[/tex]

[tex]2x=20[/tex]

[tex]x=10[/tex]

x-intercept occurs at (10,0)

Y-intercept

[tex]2(0)-5y=20[/tex]

[tex]-5y=20[/tex]

[tex]y=-4[/tex]

y-intercept occurs at (0,-4)

Using the provided values and the conditions, The inequality equations required are : [tex]x+y \leq 20[/tex] and [tex]450x+200y \geq 4800[/tex].

An equation is a mathematical statement in which two expressions are set equal to each other. It is typically written using an "=" sign, with the expressions on either side of the sign representing equivalent values. For example, the equation 2 + 2 = 4 states that the value of 2 plus 2 is equal to the value of 4. Equations can be used to express relationships and to solve problems.

An inequality is a mathematical statement that compares two values or expressions. It is similar to an equation, but instead of using the "=" sign to indicate that the two sides are equal, it uses one of the following symbols: ">", "<", "≥", "≤" to indicate that the two sides are not equal. For example, the inequality 2 + 2 > 4 states that the value of 2 plus 2 is greater than 4. Similarly, the inequality 2 + 2 < 4 states that the value of 2 plus 2 is less than 4. Inequalities can be used to express constraints in a problem or to define a range of solutions. They can also be represented graphically by using a number line.

x= number of tables sold

y= number of chair sold

max furniture in a day = 20

so, [tex]x+y \leq 20[/tex].

least selling amount = 4800

so, [tex]450x+200y \geq 4800[/tex]

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The confidence interval is (22.68,29.52).

In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts. Therefore, it can be concluded that there is a 95% probability that the true value falls within that range if a point estimate of 10.00 is produced using a statistical model with a 95% confidence interval of 9.50 - 10.50.

n = 10

x = 26.1

s = 4.2

Two-sided confidence interval :

CI = [tex](x-\frac{z*s}{\sqrt{n}},x+\frac{z*s}{\sqrt{n} } )[/tex]

    = [tex](26.1-\frac{2.576*4.2}{\sqrt{10}},26.1+\frac{2.576*4.2}{\sqrt{10}} )[/tex]

    = (26.1−3.42,26.1+3.42)

    = (22.68,29.52)

Hence, the confidence interval is (22.68,29.52).

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On solving the provided question, we can say that the slope's the intersection points are: (20.698, 42.197) and (43.998,16.527), the transmitter is within range between those to points along the line.

A line's slope determines how steep it is. A mathematical equation for the gradient is called "gradient overflow" (the change in y divided by the change in x). The slope is the ratio of the vertical change (rise) between two points to the horizontal change (run) between those same two spots. When a straight line's equation is written as y = mx + b, the slope-intercept form of an equation is employed to express it. The y-intercept is located at a location where the line's slope is m, b is b, and (0, b). For instance, the slope of the equation y = 3x - 7 and the y-intercept (0, 7).The line's slope is m. b is b at the point where the y-intercept is, and (0, b). As an illustration, the equation y = 3x - 7 has a slope of 3, and its y-intercept is (0, 7).

city - north at (0,65)

city-east at (59,0)

Slope is m=(-65/59)

[tex]B= y - mx = 65 - (-65/59)(0) = 65[/tex]

The equation of the line between the cities is y = (-65/59)x + 65

[tex]x^2 + ( (-65/50)x + 65) )^2 = 47^2[/tex]

the intersection points are:

(20.698, 42.197) and (43.998,16.527)

The transmitter is within range between those to points along the line.

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Answer:

Step-by-step explanation:

In addition and subtraction, the identity is 0. In multiplication and division, the identity is 1. That means that if 0 is added to or subtracted from n, then n remains the same. Also, if n is multiplied or divided by 1, then n remains the same  

ORRRRRRRRR

Five Properties of Addition

Closure property of Addition.

Commutative property of Addition.

Associative property of Addition.

Additive identity property of Addition.

Additive inverse property of Addition.

On solving the provided question we can say that - area of the given triangle will be A = 60 cm sq.

Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is the name given to a triangle with vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is a polygon that has three sides and three corners. The spots where the three sides join end to end make up the triangle's corners. Three triangle angles added together equal 180 degrees.

here,

B = 8cm

H = 15 cm

A = 1/2 BH = 1/2 X 8 X 15 = 60cm sq.

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Vivian and her dad travelled for a total distance of 12 miles

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

Time taken = 4 hours

Rate of travel = 3 miles per hour

The distance travelled can be calculated using the following equation

Distance = Rate of travel * Time taken

Substitute the known values in the above equation, so, we have the following representation

Distance = 3 miles per hour * 4 hours

Evaluate the product

So, we have the following representation

Distance = 12 miles

Hence, the distance is 12 miles

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Complete question

Vivian and her dad drive 4 hours to the rock and roll hall of fame in Cleveland, Ohio. if they drive at the same rate how far do they travel if the rate is 3 miles per hour