Find parametric equations for the line passing through the points p(2, 4, 2) and q(5, 5, 3).

Answer:

a

Step-by-step explanation:

From the given properties of the functions,

Functions given in the picture are 'f', 'g' and 'h'.

From the graph given for function 'f',

y - intercept = 1

Increasing in the interval → (-∞, -0.8] and (0.6, ∞)

Decreasing in the interval → [-0.8, 0.6]

From the table given for the function 'g',

Decreasing in the interval → [-2, 2]

y-intercept = -1

For function 'h',

h(x) = 4x³ + 3

Table of the input-output values for function will be,

x           h(x)

-2         -29

-1            -1

0            3

1             7

2           35

Therefore, function 'h' will increase in the interval → (-∞, ∞)

y-intercept → y = 3

Therefore, from these properties of the functions we conclude,

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Answer:

C. As the fat increases, the calories increase too

Answer:

c

Step-by-step explanation:

The brand that will have the lower lifetime cost is that the Brand U will be $976.92 cheaper than Brand V. The correct option is B.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Cost of operating Brand U,

Cost of Brand U = $2,250

Number of days in 24 years = (6×366) + (18×365) = 8766

Operational cost = 8766 × $0.16 = $1,402.56

Total cost for 24 years = $3,652.56

Cost of operating Brand V,

Cost of Brand U = 3 × $725 = $2,175

Number of days in 24 years = (6×366) + (18×365) = 8766

Operational cost = 8766 × $0.28 = $2,454.48

Total cost for 24 years = $4,629.48

Further, the difference between the cost of operation and buying will be,

Difference

= Total cost for 24 years for Brand V - Total cost for 24 years for Brand U

= $4,629.48 - $3,652.56

= $976.92

Hence, the brand that will have the lower lifetime cost is that the Brand U will be $976.92 cheaper than Brand V.

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Answer:

17.2x + 16.4

Step-by-step explanation:

→ Perimeter = All sides added together

8.6x + 3 + 8.6x + 3 + 5.2 + 5.2

→ Simplify

17.2x + 6 + 10.4

→ Simplify further

17.2x + 16.4

Answer: $147

Step-by-step explanation:

The boots were sold at a 40% discount of the regular price of $245.

The price they were sold at is therefore:

= Price * ( 1 - discount)

= 245 * ( 1 - 40%)

= 245 * 60%

= $147

Applying proportions, the decimal value is given by:

B. 32.064.

Santo got the wrong answer because he counted 6 and 4 as the tenths and hundredths digits, instead of hundredths and thousandths.

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using a rule of three, that can be either direct(cross multiplication) or inverse(line multiplication), deriving from proportional relationships. One example of application of proportions is for digit values in a number.

For this problem, we just have to apply the digit values of the number to find the decimal value, adding the factors, hence:

Hence:

30 + 2 + 0.06 + 0.004 = 32.064.

The decimal value is given by:

B. 32.064.

Santo got the wrong answer because he counted 6 and 4 as the tenths and hundredths digits, instead of hundredths and thousandths.

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The measure of angle 1 can be found using the Triangle Exterior Angles Theorem, which states that the measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles. Thus, m<1 = 180 - 123 = 57 degrees.

The measure of angle 1 can be found using the Triangle Exterior Angles Theorem, which states that the measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles. Thus, m<1 = 180 - 33 - 90 = 57 degrees.

Part A: The value of y can be found using the Vertical Angles Theorem, which states that vertical angles are congruent, and the Triangle Angle-Sum Theorem, which states that the sum of the measures of the angles in a triangle is 180 degrees. Part B: Using the Vertical Angles Theorem, we know that x = 100. Using the Triangle Angle-Sum Theorem, we can set up an equation: x + 40 + y = 180. Substituting x = 100, we get 140 + y = 180, which gives y = 40.

The measure of angle 1 can be found using the Triangle Exterior Angles Theorem, which states that the measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles. Thus, m<1 = 180 - 57 = 123 degrees.

The two theorems that could be used to find m<1 in the previous question are the Triangle Exterior Angle Theorem and the Vertical Angles Theorem.

Let x be the measure of the smallest angle. Since the sum of the angles in a triangle is 180 degrees and one angle is 90 degrees, we have x + 2x + 90 = 180, which gives 3x = 90 and x = 30. Thus, the measures of the two acute angles are 30 degrees and 60 degrees.

Let the measures of the other two angles be 3x and 4x. Since the sum of the angles in a triangle is 180 degrees, we have 40 + 3x + 4x = 180, which gives 7x = 140 and x = 20. Thus, the measures of the other two angles are 60 degrees and 80 degrees.

In an equilateral triangle, all three angles have the same measure. Since the sum of the angles in a triangle is 180 degrees and there are three angles, each angle measures 60 degrees.

Using the Exterior Angle Theorem, we know that the measure of angle 1 is equal to the sum of the measures of angles 2 and 3. Thus, 5x + 10 = 180, which gives 5x = 170 and x = 34. Therefore, the value of x is 34.

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Answer:

D

Step-by-step explanation:

when x=1, y should = 2

2(1)=2

so y=2x is correct

1, 4, & 5 are quadratic expressions in vertex form

The length of CE is 7cm

To determine the length, we need to consider the properties of a rectangle, we have;

From the information given, we have that;

AB = 7cm

AD = 17cm

Then, line CE = line AB

But line AB = 7cm

CE = 7cm

Hence, the length is 7cm

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Answer:

If x+y=4×-y =6 then what is the question

Answer:

f(x)=500+60x

So, B.

Step-by-step explanation:

Opening balance =500

Deposits= 60__ monthly

Write as a function

Represent the number of months with x and the balance at any month with f(x)

f(x) is calculated as thus:

Opening Balance + Deposits * Number of Months

So, we have:

f(x)=500+60*x

So, f(x) = 500+60x

Answer:

34 i think i got it really wrong but...

Step-by-step explanation:

To solve this problem use the Pythagorean theorem

c^2 = a^2 + b^2

c= 13

a = 5

b = y

13^2 = 5^2 + y^2

y^2 = 13^3 - 5^2

y^2 = 169 - 25

y^2 = 144

y = 12

The only valid solution for a triangle to be both isosceles and acute. is c) largest angle = 75°; smallest angle = 30°.

Since the triangle is isosceles, two of its angles must have the same measure. Let's call this measure "x". Therefore, the other angle of the triangle (the one that measures 30°) must be different from "x".

Since the triangle is also acute, all three of its angles must be less than 90°.

Let's consider two cases:

Case 1: The angle that is different from "x" is smaller than "x". In this case, the smallest angle of the triangle is 30°, and it is equal to the angle that is different from "x". The other two angles are both "x". We know that the sum of the angles of a triangle is 180°, so we can write:

30 + x + x = 180

Simplifying the equation, we get:

2x + 30 = 180

2x = 150

x = 75

Therefore, the largest angle of the triangle is also "x", which is 75°.

Answer: c) largest angle = 75°; smallest angle = 30°

Case 2: The angle that is different from "x" is larger than "x". In this case, the largest angle of the triangle is 90° (because the triangle is acute), and it is equal to the angle that is different from "x". The other two angles are both "x". We know that the sum of the angles of a triangle is 180°, so we can write:

x + x + 90 = 180

Simplifying the equation, we get:

2x = 90

x = 45

However, this solution is not valid because it implies that one angle of the triangle is 90°, which contradicts the fact that the triangle is acute.

Therefore, the only solution is c) largest angle = 75°; smallest angle = 30°.

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Answer:

-3

Step-by-step explanation:

Finding the Equation of a Line Given Two Points:

Most people when asked, “What is the equation of a line?”, will answer, “y = mx + b”. This is the

equation of a line in what is called slope-intercept form where “m” is the slope and “b” is the y-

intercept. So, how do you find the equation of a line? There are several different ways that you can find

the equation of a line. I find the equation of a line everytime by following the same three steps:

Step 1: Find the slope of the line.

Step 2: Use the slope to find the y-intercept.

Step 3: Use steps 1 and 2 to write the answer.

I will explain these steps by looking a several examples. Please understand that there are often several

different ways to complete each math problem, but I have found through the years that students are most

successful when the do problems the same way each and every time they attempt the problem. If you

know a different way to find the answer that is great, but I am going to show how to do the problem one

way and use the same technique everytime I see this problem.

Example 1: Find the equation of the line passing through the points (–1, –2) and (2, 7).

Step 1: Find the slope of the line.

To find the slope of the line passing through these two points we need to use the slope

formula:

( )

( )

So the slope of the slope of the line passing through these two points is 3.

Step 2: Use the slope to find the y-intercept.

Now that we know the slope of the line is 3 we can plug the slope into the equation and

we get:

y = 3x + b

Next choose one of the two point to plug in for the values of x and y. It does not matter

which one of the two points you choose because you should get the same answer in either

case. I generally just choose the first point listed so I don’t have to worry about which

one I should choose.

(–1, –2) → –2 = 3(–1) + b Multiply to simplify the problem.

–2 = –3 + b Solve for b and you will have the y-intercept. b=1

Step 3: Write the answer.

Using the slope of 3 and the y-intercept of 1, the answer is:

y = 3x + 1

Answer:

Width is \(1 \frac{1}{4} m\) or 1.25m

Step-by-step explanation:

\(\frac{5}{6}\) ÷ \(\frac{2}{3}\) = 5/6 x 3/2 = 5/4

Answer:

the posibility for both of these answers are 5/10 or a 5 in ten chance that it would be a or n because in this there is 5 or these letters  

Step-by-step explanation:

There are 56 servings in a 28 pound bag of dog food.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Each day Fei yen's dog eat dog food = 8 ounces

Fei yen bought a 28 pound bag of dog food.

And we know that 1 pound = 16 ounces

Then ,the food in ounces

= 28 x 16

= 448 ounces

Now, the number of 8 ounces servings are in a 28 pound bag of dog food

= 448 / 8

= 56

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The perpendicular bisector of AB will fall at is (8, 8) and (8, 2)

From the question, the coordinates of the points are given as

A = (4, 10), B = (12, 6), and C = (8, 2).

Remove the coordinates of point C

So, we have the remaining coordinates to be

A = (4, 10) and B = (12, 6)

The perpendicular bisector of AB is the midpoint of endpoints AB

The coordinates of this perpendicular bisector is then calculated using the following midpoint formula

Midpoint = 1/2 * (x₂ + x₁, y₂ + y₁)

Where

(x, y) = (4, 10) and B = (12, 6)

Substitute (x, y) = (4, 10) and B = (12, 6) in Midpoint = 1/2 * (x₂ + x₁, y₂ + y₁)

Midpoint = 1/2 * (4 + 12, 10 + 6)

Evaluate the sum

So, we have

Midpoint = 1/2 * (16, 16)

Evaluate the product

So, we have

Midpoint = (8, 8)

Hence, the point of the perpendicular bisector of AB is (8, 8)

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Answer:

21.

Step-by-step explanation:

M a t h .

\( \frac{30}{25} = \frac{4x - 4}{20} \\ \)

\( \frac{5 \times 6}{5 \times 5} = \frac{4x - 4}{20} \\ \)

\( \frac{6}{5} = \frac{4x - 4}{20} \\ \)

Multiply both sides by 20

\(20 \times \frac{6}{5} = 20 \times \frac{4x - 4}{20} \\ \)

\( \frac{5 \times 4 \times 6}{5} = 4x - 4 \\ \)

\(24 = 4x - 4\)

Add both sides 4

\(24 + 4 = 4x - 4 + 4\)

\(28 = 4x\)

Switch sides

\(4x = 28\)

Divide both sides by 4

\( \frac{4x}{4} = \frac{28}{4} \\ \)

\(x = 7\)

There you go...

Have a great day ❤

In statistics, a post-hoc test is a follow-up statistical test that is performed after obtaining a significant result in an ANOVA or a similar test. A post-hoc test is warranted when the F is significant and we have more than two groups.

Post-hoc tests are used to determine which specific groups are significantly different from each other, and to identify the direction of those differences.

In the given options, option A is correct. A post-hoc test is warranted when the F is significant and we have more than two groups. This is because the ANOVA only tells us whether there are differences among the groups, but it does not tell us which specific groups are different from each other. In order to determine the differences between the groups, we need to perform a post-hoc test.

Option B is incorrect. If we fail to reject the null hypothesis in an ANOVA, then there is no need for a post-hoc test, because we have not found any significant differences among the groups.

Option C is also incorrect. If we reject the null hypothesis in an independent-groups t test, then we have already found significant differences between two groups, and there is no need for a post-hoc test.

Option D is also incorrect. An a priori prediction is made before the experiment is conducted, and it is used to determine which statistical test to use. A post-hoc test, on the other hand, is used after the experiment is conducted and a significant result is obtained.

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Answer:

True

Step-by-step explanation:

When displaying any sort of data, it is important to make the table or chart as easy to understand and read as possible without compromising the data. In this case, it is simpler to understand the pie chart if we use as few slices as possible that still makes sense for displaying the data set.

Answer:

= 1/2

Step-by-step explanation:

From the question: 1 bag contains

4 cotton candy lollipops

3 cherry lollipops

6 butterscotch lollipops

1 orange lollipops

Total number of possible outcomes =

14

The probability of randomly choosing a cotton candy or orange lollipops is calculated as:

P(Cotton candy) + P(Orange)

= 4/14 + 3/14

= 7/14

= 1/2