Consider the table of restaurants in the country.Restaurant QuantitySubway25,549McDonald's14,146KFC22,621Pizza Hut18,431Total Stores80,747A. Calculate the ratio of Subway restaurants to McDonald's restaurants as a decimal to the thousandths place andwrite a meaningful sentence. Is this part-to-part or part-to-whole?B. Calculate the KFC restaurants to the total restaurants ratio as a decimal to the thousandths place and write ameaningful sentence. Is this part-to-part or part-to-whole?

9514 1404 393

Answer:

  61.5°

Step-by-step explanation:

The tangent relation is useful here. The angle is opposite the vertical side and adjacent to the horizontal side of the right triangle.

  Tan = Opposite/Adjacent

  tan(α) = 35/19

  α = arctan(35/19) ≈ 61.5°

The angle made by v and the positive x-axis is 61.5°.

The solution to the inequality 1 + 3r > 10 is r > 3.

This means that any value of r greater than 3 will satisfy the inequality.

To solve the inequality 1 + 3r > 10, we need to isolate the variable r on one side of the inequality sign.

Let's begin by subtracting 1 from both sides of the inequality:

1 + 3r - 1 > 10 - 1

This simplifies to:

3r > 9

Next, we can divide both sides of the inequality by 3 to solve for r:

(3r)/3 > 9/3

This simplifies to:

r > 3

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The quadratic parent function, f(x) = x², represents the most basic form of a quadratic function.

f(x) = x² is called the "parent" or "standard" form because it serves as a template or starting point for other quadratic functions.

In this function, x represents the input or independent variable, and f(x) represents the output or dependent variable.

The function takes any real number as an input, squares it, and produces the corresponding output.

By modifying the quadratic parent function with additional terms or coefficients, we can create different variations of quadratic functions that result in shifts, stretches, or compressions of the parabola, as well as changes in its orientation or vertex position.

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Answer:

$480

Step-by-step explanation:

Assuming that you have worked 10 hours and have done 3 policies in the equation 18h+100p, you want to plug in the said hours and policies into the variables to get this 18 (10) + 100 (3).  You should get $480 as a result.

Answer:

below

Step-by-step explanation:

'x' cannot be zero because you would then have an illegal fraction with a zero denominator

the only interval listed that does not include zero  is  ( 1, +inf)

Answer:

D.

Step-by-step explanation:

f(x) = |x|

|x| = x for x > or = 0

|x| = -x for x < 0

At x = 0

Left limit = Right limit = Function value = 0

|x| = is continuous at x = 0.

Left derivative (at x = 0) = -1

Right derivative (at x = 0) = 1

Answer:

First: we expand

6x-(6-9x)

Then we simplify

6x-6+9x

Collect like terms

(6x+9x)-6

Simplify:

15x-6

The answer is 15x-6

Answer:

Step-by-step explanation:

This equation represents the relationship between the exponential functions y = e^x and y = (10^(x-1)). These two functions are equal to each other for all values of x. This can be shown by taking the natural logarithm of both sides of the equation, which gives us:

ln(e^x) = x-1

In this equation, ln(e^x) is equal to x, since the natural logarithm of an exponential expression with a base of e is the exponent. Therefore, we can simplify the equation by taking the natural logarithm of both sides:

ln(10^(x-1)) = x-1

e^(x-1) = 10^x

The two functions e^x and 10^(x-1) are the same function with different bases, so they follow the same pattern. The fact that these two functions are equal to each other for all values of x can also be shown by graphing the two functions and seeing that they overlap perfectly.

Answer:  Range is \(y \ge 9\)

Explanation:

The range of \(f(x) = \sqrt{x}\) is  \(y \ge 0\)

In other words, it's the set of nonnegative real numbers.

We only focus on the y values. We go from y to y+9, which means we shift each (x,y) point 9 unit sup.

Since we shifted 9 units up, we add 9 to each y value and that effectively moves the lowest point in the range (0) up nine units.

So we go from \(y \ge 0\) to \(y \ge 9\)

If you need the range in interval notation, then you would write \([9, \infty)\). Note the square bracket next to the 9 so we include this as part of the range.

Answer:

any equation that include y = -2x

Step-by-step explanation:

if the equation has something like y = -2x + 4 or y = -5 - 2x is parallel

parallel lines have the same slope, the y intercept is not really important

Using trigonometric identities, we found that sec Φ = -7/(2√10), sin Φ = 3/7, tan β = √11/5, and sin β = √11/6 for the given values of csc Φ, cot Φ, and sec β.

1. We can start by using the Pythagorean identity to find the values of sin Φ:

\(sin^2\) Φ + \(cos^2\) Φ = 1

Since csc Φ = 1/sin Φ, we can substitute and solve for sin Φ:

1/(7/3) = sin Φ

sin Φ = 3/7

Next, we can use the fact that cot Φ = cos Φ/sin Φ:

cot Φ = cos Φ/(3/7) = - (2√10)/(3)

Simplifying this expression, we get:

cos Φ = - (2√10)/(3) * (3/7) = - 2√10/7

Finally, we can use the fact that sec Φ = 1/cos Φ:

sec Φ = 1/(- 2√10/7) = -7/(2√10)

2. We can use the fact that sec β = 1/cos β to find the value of cos β:

sec β = 6/5

cos β = 5/6

Next, we can use the Pythagorean identity to find the value of sin β:

\(sin^2\) β + \(cos^2\) β = 1

sin β = √(1 - \(cos^2\) β) = √(1 - 25/36) = √(11/36) = √11/6

Finally, we can use the fact that tan β = sin β/cos β:

tan β = (√11/6)/(5/6) = √11/5

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The pyramid's surface area is = 409.6 cm2.

The provided pyramid's surface area is equal to its square base plus its lateral sides.

The square base's area is given by (Side)2

= (8)2

= 64 cm2.

Area of the lateral side = 1/2 (Lateral height)(Base)

= √4² + (9.2)

2 [By applying Pythagoras theorem]

82.81+36

= √100.64

= 10.8 cm

Area of the lateral side = (8)(10.8)

= 86.4 cm²

The provided pyramid's surface area is calculated as follows:

Area of the base + 4(Area of one lateral side)

= 64 + 4(86.4)

= 409.6 cm2.

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Answer:

angle b

Step-by-step explanation:

let's assume the triangle is a right angle triangle . either angle a or c can be equal to 60 degree

Answer:

Formulae can be searched for confirmation : compounding interest with regular payments

Step-by-step explanation:

Calculations do it by yourself

Answer:

clchjtdjgdtklgdlnajajhbshsjzsnnjdndmqjsnsn him

Answer:

No I do not agree with Andre says that 3 divided by 2/3 Solving for 3 ÷ 2/3

3 ÷ 2/3

= 3 × 3/2

= 9/2

= 4 1/2

Therefore, 3 divided by 2/3 is 4 1/2

Andre's reasoning is wrong.

Step-by-step explanation:

It is incorrect

Let's divide and compare the sum

3 : 2/3 = 3*3/2 = 9/2 = 4 1/2

and

There are four 2/3 fractions and one 1/3 fraction

The 1/3 fraction is 1/2 of 2/3 fraction so instead of counting 1/3 as 1/3 it should be counted as 1/2

Answer: $10

Step-by-step explanation:

original price = 25

40% = 0.4

25 * 0.4= 10

According to the information, the volume of the three-dimensional rhombus is 61.92 cm³.

The three-dimensional rhombus is a geometric solid in the shape of a prism whose lateral faces are rhombuses and the bases are parallelograms. To calculate its volume, the area of the base must be multiplied by the height of the prism.

In this case, the height of the prism is 3 cm and the dimensions of the base rhombus are 5.2 cm wide and 8 cm long. Since the rhombus has two diagonals of equal length, its area can be calculated using the formula (major diagonal x minor diagonal) / 2.

First, the length of the diagonals of the base rhombus must be calculated using the Pythagorean theorem, since its width and length are known:

Then, the area of the base rhombus can be calculated:

Finally, the volume of the prism can be calculated:

Therefore, the volume of the three-dimensional rhombus is 61.92 cm³.

Note: This question is incomplete. Here is the complete information:

Find the volume of the prism

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Answer:

B. 10x -40

Step-by-step explanation:

To rewrite the expression 5(2x-8) using the distributive property, we need to separate the expression inside the parentheses and then multiply the two expressions by 5. The answer is: 10x-40.

The polynomials completely factorized have the following expressions;

50). x³ - 3x² - 26x - 12 = (x - 6)(x + 1)(x + 2)

51). x³ - 12x² + 12x + 80 = (x - 10)(x + 2)(x - 4)

52). x³ - 18x² + 95x + 126 = (x - 9)(x - 2)(x - 7)

53). x³ - x² + 21x + 45 = (x + 5)(x - 3)(x - 3)

For the polynomial x³ - 3x² - 26x - 12 divisible by x - 6;

(x³ - 3x² - 26x - 12)/(x - 6) = x² + 3x + 2

x² + 3x + 2 = (x + 1)(x + 2)

so;

x³ - 3x² - 26x - 12 = (x - 6)(x + 1)(x + 2)

For the polynomial x³ - 12x² + 12x + 80 divisible by x - 10;

(x³ - 12x² + 12x + 80)/(x - 10) = x² - 2x - 8

x² - 2x - 8 = (x + 2)(x - 4)

so;

x³ - 12x² + 12x + 80 = (x - 10)(x + 2)(x - 4)

For the polynomial x³ - 18x² + 95x + 126 divisible by x - 9;

(x³ - 12x² + 12x + 80)/(x - 9) = x² - 9x + 14

x² - 9x + 14 = (x - 2)(x - 7)

so;

x³ - 18x² + 95x + 126 = (x - 9)(x - 2)(x - 7)

For the polynomial x³ - x² + 21x + 45 divisible by x + 5;

(x³ - x² + 21x + 45)/(x + 5) = x² - 6x + 9

x² - 6x + 9 = (x - 3)(x - 3)

so;

x³ - x² + 21x + 45 = (x + 5)(x - 3)(x - 3)

Therefore, by complete factorization the expressions (x - 6)(x + 1)(x + 2), (x - 10)(x + 2)(x - 4), (x - 9)(x - 2)(x - 7), and (x + 5)(x - 3)(x - 3) are the factors of their respective polynomial.

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Answer:

4.4=-4

Step-by-step explanation:

just solving maths

Answer:

x=3

(26x+50degreese) = 134 degreese

Step-by-step explanation:

The value of c in the triangle is (b) 5 units

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

The right triangle

The length c is the hypotenuse of one of the triangles and can be calculated using the following Pythagoras theorem

c² = sum of squares of the legs

Using the above as a guide, we have the following:

c² = 3² + 4²

Evaluate

c² = 25

Take the square roots

c = 5

Hence, the hypotenuse of the right triangle is 5

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Answer:

18

Step-by-step explanation:

The total number of cookies that were made

35+30 = 65

The cookies that were eaten is 47

65-47 =18

There were 18 cookies left

Answer:

$18

Step-by-step explanation:

35+30=65

65-47=18

Answer:

3×4

Step-by-step explanation:

12 +12=24 so that how you do it bye

Answer:

The center of this circle is at \((-3,\, 2)\). The radius of this circle is \(3\).

Step-by-step explanation:

A circle with center \((a,\, b)\) and a radius of \(r\) (\(r > 0\)) could be expressed as:

\((x - a)^{2} + (y - b)^{2} = r^{2}\).

(In other words, a point is on this circle if and only if the distance between that point and the center is equal to the radius.)

Rearrange this equation using binomial expansion to match the equation given in this question:

\((x^{2} - 2\, a\, x + a^{2}) + (y^{2} - 2\, b\, y + b^{2}) = r^{2}\).

\(x^{2} + (-2\, a)\, x + y^{2} + (-2\, b)\, y = -a^{2} - b^{2} + r^{2}\).

The equation in this question is:

\(x^{2} + 6\, x + y^{2} + (-4)\, y = -4\).

Match up the coefficients of \(x\) and \(y\) in the two equations.:

Thus, \(a = (-3)\) and \(b = 2\).

The constants of the two equations should also match up:

\((-a^{2} - b^{2} + r^{2}) = (-4)\).

Substitute in \(a = (-3)\) as well as \(b = 2\) and solve for \(r\):

\(r^{2} = 9\).

\(r = 3\) (since \(r > 0\).)

Therefore, the center of this circle is \((-3,\, 2)\). The radius of this circle is \(3\).

The value of side length x in diagram a) is 4.3mm and side length x in diagram b) is 309.7 m.

The figures in the image are right triangles.

A)

angle D = 17 degree

Adjacent to angle D = 14 mm

Opposite to angle D = x

To solve for the missing side length x, we use the trigonometric ratio.

Note that: tangent = opposite / adjacent

Hence:

tan( 17 ) = x/14

x = tan( 17 ) × 14

x = 4.3mm

B)

angle Z = 82 degree

Adjacent to angle Z = 43.1 m

Hypotenuse = x

Using trigonometric ratio,

cosine = adjacent / hypotenuse

cos( 82 ) = 43.1 / x

x = 43.1 / cos( 82 )

x = 309.7 m

Therefore, the measure of x is 309.7 meters.

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Answer:

(8,-43)

(4,-22)

Step-by-step explanation:

In order for the ordered pair to be a solution of the inequality, you must be able to plug in the y-value of the ordered pair and it must be less than or equal to 0.

For example:

(4,-22)

x=4 ; y=-22

Plug y into the inequality

y≤0

-22≤0

Since the statement is true, I know that (4,-22) must be a solution to the inequality.

Another way to solve this problem is by graphing. If an ordered pair is in the shaded region, it is a solution to the inequality. Attached is a graph of both the inequality and ordered pairs plotted.

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Have a GREAT day!!!

Answer:

Step-by-step explanation:

To determine whether each ordered pair is a solution to the inequality y ≤ 0, we need to check if the y-coordinate of each pair is less than or equal to zero.

Let's check each ordered pair:

(8, -43):

The y-coordinate is -43. Since -43 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(4, -22):

The y-coordinate is -22. Since -22 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(-3, 25):

The y-coordinate is 25. Since 25 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

(-7, 45):

The y-coordinate is 45. Since 45 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

So, the solutions to the inequality y ≤ 0 are:

(8, -43) and (4, -22).

Answer:

19 6/8 or 19 3/4

I’m not sure if you want the smallest possible fraction or not. If you don’t know just put the second one. K.

According to the information, the perimeter of the triangle is ≈ 31.18

To find the distance between two points, we can use the distance formula:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Let's label the coordinates as follows:

Point 1: (-2, 3)

Point 2: (3, -2)

Now we can substitute these values into the distance formula:

distance = sqrt((3 - (-2))^2 + (-2 - 3)^2)

distance = sqrt((5)^2 + (-5)^2)

distance = sqrt(25 + 25)

distance = sqrt(50)

distance ≈ 7.07

Therefore, the distance from (-2, 3) to (3, -2) is approximately 7.07 units.

To find the perimeter of the triangle, we need to find the length of all three sides of the triangle and then add them up.

Using the distance formula, we can find the length of the sides:

Side 1: (-2,3) to (3,-2)

d = √[(3 - (-2))^2 + (-2 - 3)^2]

= √[5^2 + (-5)^2]

= √50

= 5√2

Side 2: (3,-2) to (-7,-2)

d = √[(-7 - 3)^2 + (-2 - (-2))^2]

= √[(-10)^2 + 0^2]

= 10

Side 3: (-7,-2) to (-2,3)

d = √[(-2 - (-7))^2 + (3 - (-2))^2]

= √[5^2 + 5^2]

= 5√2

Therefore, the perimeter of the triangle is:

5√2 + 10 + 5√2 = 15√2 + 10 ≈ 31.18 (rounded to two decimal places)

An two of the three sides are equal, so it is an isosceles triangle.

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