Find the equation of a line that passes through the point (1, -5) and is perpendicular to a line that passes through the points (2, 4) and (3, -4). Write the equation in slope intercept
form.

Answer:

JKL = 117

Step-by-step explanation:

63 and JKL form a straight line and their sum is 180

63+ KJL = 180

Subtract 63 from each side

63+ KJL - 63 = 180-63

JKL = 117

Step-by-step explanation:

here's your answer hope it helps you

Answer:

-18w^2 + 6w - 4

Explanation:

Given the expression (6w — 11w^2)-(4+7w^2)

Open the bracket

6w — 11w^2 - 4 - 7w^2

= -11w^2-7w^2 + 6w -4

= -18w^2 + 6w - 4

Hence the required expansion is -18w^2 + 6w - 4

The rate, in inches per minute, at which the radius of the sphere is changing when the radius is 4 inches is 2.83

What is the Volume of a Sphere?

The capacity of a sphere is its volume. It is the area that the sphere occupies. Cubic measurements of a sphere's volume include m3, cm3, in3, etc. The sphere has a circular, three-dimensional form. Its form is determined by three axes: the x, y, and z axes. Sports like basketball and football are all instances of spheres with volume.

Since the cross-section of the sphere is a circle, the volume in this case is dependent on the diameter of the sphere's radius. The area or region of a sphere's outer surface is known as its surface area. We may use the following formula to get the volume of a sphere whose radius is "r":

Here, In the question, It is given that:

Radius = 4inch.

Rate of increase = 569 cubic inches;

So, using the Volume of Sphere, formula:

\(\begin{aligned}v=\frac{4}{3} \pi r^3 \\\frac{d v}{d t} &=\frac{d}{d t}\left[\frac{4}{3} \pi r^3\right] \\&=\frac{4 \pi}{3}\left(3 r^2\right) \frac{d r}{d t} \\\frac{d v}{d t} &=4 \pi r^2 \frac{d r}{d t}\end{aligned}\)

\(\begin{aligned}&\frac{d r}{d t}=\frac{\frac{d v}{d t}}{4 \pi r^2}\\&\left.\frac{d r}{d t}=\frac{569}{(4 \pi)(4)^2}=\frac{d}{d t}_{r=4}^{d r^2}=569\right]\\&\frac{d v}{d t}=\frac{569}{64 \pi} \sim 2.83\end{aligned}\)

Hence,  the rate, in inches per minute, at which the radius of the sphere is changing when the radius is 4 inches is 2.83

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The prime factors of 87 are 3 and 39. This can be found out by using prime factorisation method.

An integer that evenly splits a number, leaving no remainder, is referred to as a factor. Using division principles and divisibility rules, one can identify a number's factors.

The numbers that divide 87 without leaving a remainder are known as the factors of 87. In other terms, we can say that it will be completely divided by the factors of 87.

Although 87 can be divided into positive and negative components, it cannot be divided into decimals or fractions. The result of splitting 87 by its factor yields a quotient that is also a factor of 87.

A factor tree can be used to find out the prime factors of 87. It can be written as,

87 = 3 × 29

Consequently, 3 and 29 are the prime factors of 87.

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Step-by-step explanation:

such an equation is a simple linear function :

y = ax + b

b is in this case the flat fee, and a (the slope) drives the incline of the function for various numbers of students x.

our job is now to find the correct a and b values.

we do this by using the informative we have and create 2 equations for a and b, and then we solve this system.

132.5 = a×25 + b

145 = a×30 + b

now, we can use a little trick and simply subtract the whole first equation from the second equation.

145 = a×30 + b

- 132.5 = a×25 + b

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

12.5 = a×5 + 0

5a = 12.5

a = 2.5

with this we go into one of the original equations, e.g. the second one :

145 = 2.5×30 + b = 75 + b

70 = b

so, it full equation is

y = 2.5x + 70

the costs for 85 students are

y = 2.5×85 + 70 = 212.5 + 70 = $282.50

In June 2010, the Boston Red Sox's opponents scored an normal of3.26 runs.

The mean, generally appertained to as the computation mean or average, is a statistical measure of central tendency that's calculated by dividing the sum of a collection of figures by the total number of the figures in the set.

Mean = ( Sum of all the compliances Total number of compliances)

The middle number in a sorted list of figures is appertained to as the standard. By arranging the figures, the middle number can be discovered. thrusting order is used to arrange the figures. The middle number in the ordered set of figures is appertained to as the data set's standard.

The fleck plot for the handed data is shown then

0 • •

1 •

2 • • • • • • •

3 • •

4 • • • •

5 • •

6 •

8 •

9 •

11 •

We add up all the values and peak by the total number of values to determine the mean

4 4 9 0 2 4 1 2 11 8 2 2 5 3 2 5 6 4 0 = 62

We divide the total by 19 because there are 19 values

62/ 19 ≈3.26

Hence, the Boston Red Sox's opponents scored an normal of3.26 runs in June 2010 against them.

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Answer:

Hope it helps!~ (Sorry if you get it wrong or I got it wrong-)

Step-by-step explanation:

the state of being oriented. an introduction, as to guide one in adjusting to new surroundings, employment, activity, or the like: New employees receive two days of orientation. Psychology, Psychiatry. the ability to locate oneself in one's environment with reference to time, place, and people. This or ,

the determination of the relative position of something or someone (especially oneself).

"the child's surroundings provide clues to help in orientation"

the relative physical position or direction of something.

plural noun: orientations

"two complex shapes, presented in different orientations"

This-

~The Confuzzeled homan

The correct option for the midpoint of the line segment , where (-1,-2) and (4,-2), is  (1.5,-2).

To find the midpoint of a line segment, we use the midpoint formula, which states that the coordinates of the midpoint (M) are the average of the coordinates of the endpoints.

The midpoint formula is given by:

M = ((x1 + x2) / 2, (y1 + y2) / 2)

Let's apply this formula to find the midpoint of the line segment AB:

x1 = -1, y1 = -2 (coordinates of point A)

x2 = 4, y2 = -2 (coordinates of point B)

Using the midpoint formula:

M = ((-1 + 4) / 2, (-2 + (-2)) / 2)

 = (3 / 2, -4 / 2)

 = (1.5, -2)

Therefore, the midpoint of the line segment , with endpoints (-1,-2) and (4,-2), is (1.5, -2).

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Answer:

$20,000.00

Step-by-step explanation:

90% = 0.90

18000/0.90 = $20,000

CHECK

0.90 x $20,000 = $18,000

Answer:

36.08 seconds

Step-by-step explanation:

The team's competition time is 36.08 seconds so option (B) will be correct.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given the times for each racer

The fastest runners will have the lowest time

So,

Lowest to highest time (time is increasing order) →

11.85 + 12.03 + 12.2 = 36.08

Since,

The team's competition time is given by the total of the three fastest runners

Hence "The team's competition time is 36.08 seconds so option (B) will be correct".

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Answer: (3,2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

sdfasdfffffffffff sdf sdf sdf sdf sdf sdf sdf

Answer:

Step-by-step explanation:

Anyas rate per hour = 40 ÷ 5 = 8

Lionel rate per hour = 14 ÷ 2 = 7

So the cheapest is Lionel

There were total 276 guests in the wedding that Joy organised.

Given,

fraction of the guest that chose beef = 1/3

fraction of the guest that chose chicken = 5/12

fraction of the guest that chose vegetarian = 1  - 1/3 - 5/12 = 1/4

we are asked to find the total number of guests in the wedding:

guests that chose vegetarian = 1/4

guests that chose vegetarian = 69

1/4 of the guest = 69

4/4 of the guest = 69 x 4 = 276

Hence there are total 276 guests in the wedding.

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Answer:

B

Step-by-step explanation:

ita only b .............

The equations that are equivalent to (5x + 6)2 = 3-(4x +12) is (5x+6)2=−4x−9.

Option B is correct.

The very first thing to do is to solve the expression in the given question.

SO,

(5x + 6)2 = 3-(4x +12)

Open brackets

Collect like terms

x = -21/14

Now, we will solve each of the given options to determine which one corresponds to the solution to the expression above.

Starting with Option (a)

5x + 6 = 3 - (4x + 12)

Open brackets

Option (a) is incorrect

b.

(5x + 6 )2  = -4x - 9

Open brackets

Option (b) is correct

(c.)

52x + 3 = 3 - (4x + 12)

Open brackets

Option (c) is incorrect

(d)

(5x + 6)2 = -4x + 15

Open brackets

Option (d) is incorrect

(e)

5x + 6 = -8x - 18

Collect like terms

Option (e) is incorrect

Therefore, we can conclude that the correct equation equivalent to the given expression in the question can be seen in Option b.

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Key takeaways of Cross Tab and Scatter plots (Reflecting on visual models):

We can develop insights and knowledge about our world by manipulating and visualizing data, in particular by finding patterns. Cross Tab is a powerful method of data analysis that helps to compare the relationship between two or more variables. The scatter plot is one of the most effective tools to visualize two-variable data.

The main takeaways from cross-tabulation and scatter plots include:

In conclusion, both cross-tabulation and scatter plots are effective tools for data analysis that can help to identify patterns and relationships between variables. When investigating two columns of data we can observe patterns of different values that move together (are correlated). We cannot know for certain the cause of the correlation.

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Answer:

A function is a relation in which each possible input value leads to exactly one output value. We say “the output is a function of the input.” The input values make up the domain, and the output values make up the range.

Answer:

Step-by-step explanation:

y 1 = StartFraction log x Over log 0.5 EndFraction, y 2 = StartFraction log 2 Over log 3 EndFraction + x

If the MSbetween (Mean Square Between) is lower than the MSwithin (Mean Square Within), the F value will be less than 1.

The F value is calculated by dividing the variance between groups (MSbetween) by the variance within groups (MSwithin). It is used in analysis of variance (ANOVA) to test for significant differences among group means. The F value follows an F-distribution, and its magnitude determines the statistical significance of the differences between groups.

When the MSbetween is lower than the MSwithin, it indicates that the variability between groups is smaller compared to the variability within groups. This suggests that the differences observed among the group means are not substantial or meaningful. In other words, there is more similarity within the groups than between them.

Since the F value is calculated as the ratio of MSbetween to MSwithin, if the numerator (MSbetween) is smaller than the denominator (MSwithin), the F value will be less than 1.

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Answer:

  88 : 132 : 44

Step-by-step explanation:

You want 264 divided into parts in the ratio 2 : 3 : 1.

The ratio units add up to 2+3+1 = 6. So, the part represented by 1 ratio units is 264/6 = 44. The 2 ratio units represent 88, and 3 represent 132.

The division is ...

  2 : 3 : 1 = 88 : 132 : 44

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The Values corresponding to the ratio 2:3:1 for a total value of 264 are 88, 132, and 44, respectively.

To divide 264 in a ratio of 2:3:1, we need to find the respective parts that correspond to each ratio.

Let's break down the total value of 264 into three parts based on the given ratio of 2:3:1.

Step 1: Find the total number of parts in the ratio

The total number of parts in the ratio 2:3:1 is 2 + 3 + 1 = 6.

Step 2: Calculate the value of each part

To find the value of each part, we divide the total value (264) by the total number of parts (6):

Value of each part = Total value / Total number of parts

                  = 264 / 6

                  = 44

Step 3: Determine the value for each ratio component

Now, we can calculate the value for each component of the ratio:

- For the ratio component 2, the value is 2 parts * 44 = 88.

- For the ratio component 3, the value is 3 parts * 44 = 132.

- For the ratio component 1, the value is 1 part * 44 = 44.

Therefore, the values corresponding to the ratio 2:3:1 for a total value of 264 are 88, 132, and 44, respectively.

In summary, when dividing 264 in a ratio of 2:3:1, the values corresponding to each ratio component are 88, 132, and 44, respectively.

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The linear two-variable equation that represents the graph is y = -2x + 4.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

Two coordinates from the graph:

(0, 4) and (1, 2)

m = (2 - 4) / 1 = -2/1 = -2

Now,

y = mx + c

(0, 4) = (x, y)

4 = 0 + c

c = 4

Now,

y = -2x + 4

Thus,

The equation that represents the graph is y = -2 + 4.

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Product of polynomials can be done by using distributive property of multiplication over addition. The needed product is: Option

Suppose a, b and c are three numbers. Then we have:

\(a(b + c) = a\times b + a\times c\)

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

Those terms which have same variables raised with same powers.

For example, \(5x^3\) and \(x^3\) are like terms since variable is same, and it is raised to same power 3.

For example \(x^3\) and \(4x^4\) are not like terms as the variables are same but powers aren't same.

For the given case, the expression is \(2x^4(3x^2 +4x +1)\)

Using the distributive property of multiplication over addition, we get the product result as:

\(2x^4(3x^2 +4x +1) = 6x^{4+2} + 8x^{4+1} + 2x^4 = 6x^6 + 8x^5 + 2x^4\)

(when like terms are multiplied, powers are added of the variables (same variable) due to property  \(a^b \times a^c = a^{b+c}\) )

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Answer:

It is 6x to the power of 6  +8x to the power of 5  +2x4

Step-by-step explanation:

Answer:

The answer is A simple must be a group of people who are the target of the survey question

Step-by-step explanation:

Answer:

1.1x

Step-by-step explanation:

Here's the answer, goodluck

Answer:

Step-by-step explanation:

n=7

When Allie owns 40 stuffed animals and 30 percent of these stuffed animals are dogs, the number of dogs is 12.

It should be noted that from the information, Allie owns 40 stuffed animals and it was stated that 30 percent of these stuffed animals are dogs .

Therefore, the number of stuffed animal dogs that Allie owns will be:

= Percentage × Total animals

= 30% × 40

= 0.3 × 40

= 12

Therefore, when Allie owns 40 stuffed animals and 30 percent of these stuffed animals are dogs, the number of dogs is 12.

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Answer:

-28

Step-by-step explanation:

Remember the order of operations: pemdas (parenthesis, exponent, multiply, divide, add, subtract). Just simplify the expression.

22 - 53 + 3

(22-53) + 3

-31 + 3

-28

Answer:

Your answer is: -28

Simplify the expression.

Step-by-step explanation:

Hope this helped : )