ANSWER FAST ILL GIVE BRAINLIEST
1. is -50.1 rational or irrational
2. is -50/2 rational or irrational

To find the equation of the line that passes through the point (5,-8) and is perpendicular to the line 5x-4y=16, we need to follow these steps:

1: Rewrite the given equation in slope-intercept form:

5x - 4y = 16

-4y = -5x + 16

y = (5/4)x - 4

So the slope of the given line is 5/4.

2: The slope of a line perpendicular to this line will be the negative reciprocal of 5/4, which is -4/5.

3: Use the point-slope form of the equation of a line, y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line, to find the equation of the line:

y - (-8) = (-4/5)(x - 5)

y + 8 = (-4/5)x + (4/5)*5

y + 8 = (-4/5)x + 4

y = (-4/5)x - 4

Therefore, the equation of the line that passes through the point (5,-8) and is perpendicular to the line 5x-4y=16 is y = (-4/5)x - 4.

In conclusion  the values of p that satisfy this inequality are p = 11, p = 12, p = 13, etc.  The equation showing that Elena saves exactly $20 is:

5 + (1.5)p = 20

Why it is?

The expression for how much money Elena saves after selling p pens is:

Total money saved = 5 + (1.5)p

The equation showing that Elena saves exactly $20 is:

5 + (1.5)p = 20

Solving the equation:

5 + (1.5)p = 20

(1.5)p = 15

p = 10

We notice that the value of p is a whole number, which makes sense since Elena cannot sell a fractional number of pens.

If Elena wants to have some money left over, we can write the inequality:

5 + (1.5)p > 20

Some values for p where Elena would have money left over are p = 11, p = 12, p = 13, etc.

To describe the values of p where Elena would be able to buy the t-shirt and still have money left over, we can write the inequality:

5 + (1.5)p > 20

(1.5)p > 15

p > 10

Therefore, the values of p that satisfy this inequality are p = 11, p = 12, p = 13, etc.

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When the trinomial 3x² - x - 10  is factored completely, one of its factors is 3x+5.

Solving the given trinomial 3x² - x - 10.

=>3x² - 6x+5x - 10

=>3x(x-2)+5(x-2)

=>(3x+5)(x-2)

The two factors of the given trinomial 3x² - x - 10 is (3x+5) and (x-2), but according to the given options, the correct answer is option C - 3x+5.

Thus, When the trinomial 3x² - x - 10  is factored completely, one of its factors is 3x+5.

Complete question: 3x² - x - 10

When this trinomial is factored completely, one of its factors is

A) x + 2

B) x - 5

C) 3x + 5

D) 3x - 2

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Answer:

1.50 liter/hr

Step-by-step explanation:

using;

\( \frac{6 - 3}{4 - 2} \)

=3/2= 1.50 liter/hr

The graph of the piecewise function in this problem is given by the image presented at the end of the answer.

A piecewise function is a function that has different definitions, based on the input of the function.

The intervals of the piecewise function for this problem are given as follows:

For the first interval, the function is a constant horizontal line at y = -3.

For the second interval, we have a linear function with a slope of 1, hence two points are given as follows:

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Therefore, the rank of matrix 'a' in this case would be 5.

To find the rank of a matrix, we need to perform row reduction to obtain its row echelon form (REF) or reduced row echelon form (RREF). However, since the matrix 'a' is not provided, I cannot perform the calculations or determine its rank.

The rank of a matrix is equal to the number of non-zero rows in its row echelon form or reduced row echelon form. If the system of equations 'ax = 0' has a two-dimensional solution space, it means that the rank of matrix 'a' is less than the number of columns (6) but greater than 4 (since the solution space is two-dimensional).

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Answer:

(4x4) + (6x11) = 82 for area

4+4+10+11+7+6= 42

Step-by-step explanation:

You can calculate this by calculating the two squares separately, and on the bottom line, it is 10, so just subtract 4 to make the rectangle on the right, separate from the square on the left. (for area)

Answer:

218.57

Step-by-step explanation:

Since it is an isoceles triangle, the sides are 32, 32, and 14.

Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2,  we can calculate the area.

(A+B+C)/2  = (32+32+14)/2=39.

A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.

Hope this helps have a great day :)

Check the picture below.

so let's find the height "h" of the triangle with base of 14.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)

Work Shown:

y = 15.6 - 3.8x

y = 15.6 - 3.8*3

y = 4.2

The average rate of change of the graph at (-2, 1) is determined as 0.

option A.

The average rate of change of graph of the cubic function describes the rate of change of y values to x change of x values.

The given points

(x₂, y₂) = [-2, 1]

The change in y values is calculated as follows;

Δy = y₂ - y₁

Let's choose x₁ = 0 and y₁ = 1

Δy = 1 - 1 = 0

The change in x values is calculated as follows;

Δx = x₂ - x₁

Δx = -2 - 0 = -2

The average rate of change of the graph is calculated as follows;

slope = Δy /Δx

slope = 0/-2 = 0

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The answer double will be of 8 is 16, by multiplication.

What is the arithmetic operation?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.

The fundamental concept of repeatedly adding the same number is embodied in the process of multiplication. The outcome of multiplying two or more numbers is known as the product of those numbers, and the factors that are multiplied are referred to as the factors. The process of repeatedly adding the same number is made easier by multiplication.

So the double of 8 means adding 2 two times. Or multiplying 8 with 2

8*2 = 16

Hence, double will be of 8 is 16

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Answer:

well the eqaution is c=2pie r

the answer is 9.42

Step-by-step explanation:

hope this helpsss

Step-by-step explanation:

C=2πr

=2×22/7×1.5

=44/7×1.5

=9.42857143

Using formula, the possible combinations for base and height are (4,12), (6,8), (8,6) and (12,4) for the area \(24 cm^2\)

To find possible base and height measurements for a triangle with an area of\(24 cm^2\), you can use the formula for the area of a triangle:
Area = (1/2) × base × height

Since the area is given as 24 cm², you can set up the equation:
24 = (1/2) × base × height

Now, we need to find possible values for base and height. Let's list some possible pairs:

1. base = 4 cm, height = 12 cm
(1/2) × 4 × 12 = 24

2. base = 6 cm, height = 8 cm
(1/2) × 6 × 8 = 24

3. base = 8 cm, height = 6 cm
(1/2) × 8 × 6 = 24

4. base = 12 cm, height = 4 cm
(1/2) × 12 × 4 = 24

These are just a few examples of possible base and height measurements that would result in an area of 24 cm² for a triangle. Keep in mind that there are many other possible combinations, including non-integer values.

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Answer: Cost to distributer $3.38

Cost to retailer $4.73

Step-by-step explanation: First find 35 percent of $2.50

2.50 x 0.35 = 0.875 this is 35% of 2.50

Then add this amount to 2.50

2.50 + 0.875 = 3.375 or $3.38

Then to find the cost to the retailer repeat this process with 40%

3.38 x 0.40 = 1.352

1.352 + 3.38. = 4.732 or $4.73

Answer:

The angles are supplementary.

x = 31

Step-by-step explanation:

The way the two angles lay together and make a straight line shows that they are supplementary. Supplementary means that they add up to 180°

Use this idea to write an equation.

2x + 3x + 25 = 180

combine like terms

5x + 25 = 180

subtract 25

5x = 155

divide by 5

x = 31

Answer:

x = 31

Step-by-step explanation:

(3x + 25) and 2x are a linear pair and are supplementary, that is

3x + 25 + 2x = 180

5x + 25 = 180 ( subtract 25 from both sides )

5x = 155 ( divide both sides by 5 )

x = 31

The model used by Victor in the linear equation is incorrect,

The parameters are that;

Victor saved: $89.25

Cost of the bicycle = $129.85

Thus, to find the amount extra that he will need to purchase the bicycle, the equation model should be;

$89.25 + x = $129.85

This can be expressed in words as;

The amount of money he already has saved + the amount of money he still requires = the total price of the bike.

An equation that correctly represents this problem can show the sum of the amount of money he already has and the amount of money he needs equals the total cost of the bicycle

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Complete question is;

Victor has saved $89.25 for the bicycle that he wants. The bicycle costs $129.85. Victor writes the equation below to help him determine the additional amount that he needs to solve to have enough to buy the bicycle.

89.25 + 129.85 = x

Does Victor's equation correctly model the problem?

Answer: 3/2

Step-by-step explanation:

Let's start with what we know. For a slope to be perpendicular it is the - reciprocal. So:

-2/3's negative reciprocal is

3/2

Answer:

\(\frac{3}{7}\)

Step-by-step explanation:

I hope this helps!

Qualitative data depicts qualities or characteristics. This type of data is qualitative and nominal.

Qualitative data are the conceptual and descriptive findings gathered by surveys, interviews, or observation. We can explore concepts and provide more context for quantitative findings by analyzing qualitative data.

Qualitative data exist as measures of "types" and can be represented by a name, symbol, or number code, whereas quantitative data exist as information on numerical variables (such as how many, how much, or how frequently).

Numbers are used to expressing measures of values or counts in quantitative data. Binary, nominal, and ordinal are the three primary forms of qualitative data.

Qualitative data comes in a wide variety of forms, including those used in statistics, work, and research. This type of data is qualitative and nominal.

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The slope of a line shows the distance of that line. This means it tells us how far the line moves each time you move over one unit on the x-axis for that line.

The slope of a line can be defined a number that describes the direction and steepness of the line.

It is also known as gradient

It is denoted by the letter 'm'

Thus, the slope of a line shows the distance of that line. This means it tells us how far the line moves each time you move over one unit on the x-axis for that line.

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To find the vector projv u, you can use the formula: (v⋅u / |v|²) * v.

To find v⋅u (the dot product of v and u), you can multiply the corresponding components of v and u and then add the results.

To find |v| (the magnitude or length of v), you can use the Pythagorean theorem. Square each component of v, add the results, and take the square root of the sum.

Similarly, to find |u| (the magnitude or length of u), you can use the same process as above.

To find the cosine of the angle between v and u, you can use the dot product formula: cosθ = (v⋅u) / (|v| * |u|).

To find the scalar component of u in the direction of v, you can use the formula: (v⋅u) / |v|.

Lastly, to find the vector projv u, you can use the formula: (v⋅u / |v|²) * v.

Remember to plug in the values for v and u to get the specific results for each exercise.

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Answer:

\(p_{1} = -\frac{4}{7}\), \(p_{2} = 6\)

Step-by-step explanation:

\(7p^{2} - 38p - 24 = 0\)

\((7p + 4) (p - 6) = 0\)

\(7p + 4 = 0\)

\(p_{1} = -\frac{4}{7}\)

\(p - 6 = 0\)

\(p_{2} = 6\)

Answer:

\(p = 6 \: \: or \: \: p = - \frac{4}{7} \)

Step-by-step explanation:

7p^2-38p-24=0

\(7p ^{2} - 38p - 24 = 0\)

\(7 {p}^{2} - 38p = 0 + 24\)

\(7 {p}^{2} - 38p = 24\)

7p^2-38p-24=0

\(7p {}^{2} - 42p + 4p - 24 = 0 \)

\(7p(p - 6) + 4(p - 6) = 0\)

\((p - 6)(7p + 4) = 0\)

\(p - 6 = 0 \: \: \: or \: \: 7p + 4 = 0 \)

\(p = 6 \: \: or \: \: p = - \frac{4}{7} \)

Answer:

6 + 4 + 2 + 3 + (6-2) + (4+3) = 10 + 5 + 4 + 7

= 15 + 11 = 26

The correct sentences that represent the inequality are as follows;

The sum of 2.1 and –1.2 times a number is at least 8.

The sum of 2.1 and –1.2 times a number is greater than or equal to 8.

The sum of 2.1 and –1.2 times a number is a minimum of 8.

Inequality; \(\rm 2.1 + (-1.2x) \geq 8\)

When two real numbers or two algebraic expressions are represented with symbols like <, > or ≤, ≥ they can be called an inequality.

Inequality; \(\rm 2.1 + (-1.2x) \geq 8\)

The correct sentences that represent the inequality are as follows;

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Answer:

The interest rate is 20%.

Step-by-step explanation:

In order to calculate the interest rate, we need to compute how many percents the value he recieves is related to the total he invested. In this case he recieves 40 every year and he invested 200, to calculate that we will apply a rule of three. We have:

$200 -> 100%

$40 -> x%

200/40 = 100/x

200*x = 40*100

200*x = 4000

x = 4000/200 = 20

The interest rate is 20%.

The area of the similar triangle named ∆DEF is; 4 square centimeters.

We are given that ∆ABC is similar to ∆DEF.

The perimeter of ∆ABC is five times the perimeter of ∆DEF.  Thus;

(Perimeter of ΔABC) = 5(Perimeter of ΔDEF)

Thus;

(Perimeter of ΔABC)/(Perimeter of ΔDEF) = 5

Thus, we can say that;

Scale factor, K = 5.

Since the area of ∆ABC is 100 square centimeters, Then;

(area of ∆ABC)/(area of ∆DEF) = K²

100/(area of ∆DEF) = 5² = 25.

(area of ∆DEF) = 100/25 = 4.

Thus, the area of ∆DEF is 4 square centimeters.

Complete Question is;

∆ABC is similar to ∆DEF. The perimeter of ∆ABC is five times the perimeter of ∆DEF. The area of ∆ABC is 100 square centimeters. The area of ∆DEF is square centimeters

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The number of cups of vinegar that Mike used lies between the whole numbers 2 and 4

If Mike used one cup of vinegar for each salad dressing recipe, then he used a total of 3 cups of vinegar (1 cup x 3 recipes = 3 cups).

However, the question states that he used "a cup of vinegar" in each recipe, which could mean that he used slightly less than one cup, exactly one cup, or slightly more than one cup.

Assuming that Mike used at least 3/4 cup of vinegar in each recipe (which is still close to "a cup"), then he used a minimum of 2 and 1/4 cups of vinegar in total (3/4 cup x 3 recipes = 2 and 1/4 cups).

Assuming that Mike used at most 1 and 1/4 cups of vinegar in each recipe (which is still close to "a cup"), then he used a maximum of 3 and 3/4 cups of vinegar in total (1 and 1/4 cups x 3 recipes = 3 and 3/4 cups).

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