A cyclist rode 2.75 miles in 0.4 hours.How fast was she going in miles per hour.At this rate, how long will it take her to go 5.5 miles?​

Answer:

The length of the rectangle: 3x

The width of the rectangle: x

Theres 2 lengths and 2 widths for every rectangle.

So the full perimeter is 3x+x+3x+x = 8x

8x;

= perimeter

= 40 inches

8x=40

x=40/8

x=5 inches

Length is 3x, substitute in for x

l = 3(5)

l = 15

Answer:29

Step-by-step explanation:

The values of all 3 angles are:

So, we know that ∠AOB is s straight angle (180°).

Then,

Now, solve for straight angle ∠DOC with x = 95°:

Similarly, solve for straight angle ∠AOB with z = 115°:

Therefore, the values of all 3 angles are:

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The correct statement that describes the relationship between the number of hours spent working/playing video games is given by:

Greater hours worked, fewer hours spent playing video games.

From the dots given, when the value of x(hours worked) increases, the value of x(hours playing video games) decreases, hence the variables are inverse proportional the correct option is given by:

Greater hours worked, fewer hours spent playing video games.

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Answer:

1

Step-by-step explanation:

Factors of 6 and 35:

6  =  1, 2, 3, 6

35  =  1, 5, 7, 35

The only common factor in both numbers is 1

The highest common factor is 1.

GCF = 1

Answer:

1

Step-by-step explanation:

Prime factorizations:

6 = 2 × 3

35 = 5 × 7

There are no factors in common, so the GCF is 1.

The expression (g∘f)(0) evaluates to 4.

To evaluate the expression (g∘f)(0), we need to find the composition of functions g and f, and then evaluate it at x = 0.

In function composition, the output of one function becomes the input for the other. In this case, we start with function f and then apply function g to its output. Looking at the given graphs, we can determine the values of f(x) and g(x) at various points.

Let's start with function f. By following the graph, we can see that when x = 0, f(x) = 2. So the output of f at x = 0 is 2.

Next, we need to apply function g to the output of f at x = 0. From the graph of g, we can see that when x = 2, g(x) = 4. Therefore, we substitute 2 as the input for g and obtain g(2) = 4.

Finally, we have (g∘f)(0) = g(f(0)) = g(2) = 4.

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Answer:

3x - y +5=0

Step-by-step explanation:

Slope:-

=> m = 2-8/-1-1 = -6/-2

=> m = 3

Using point slope form :-

=> y - 2 = 3 ( x - (-1))

=> y - 2 = 3x + 3

=> 3x - y +5 = 0

Answer:

y=3x+5

Step-by-step explanation:

first find the gradient

m=y2-y1/x2-x1

from the coordinates you are given x one is -1,x two is1,y one is 2,y two is 8

8-2/1-(-1)

=3

therefore the gradient is 3

after finding the gradient use the equation

y-y1=m(x-x1)

substitute x1,y1 and the gradient..y and x are constant

y-2=3(x-(-1))

y-2=3x+3

y=3x+3+2

y=3x+5

An equation of a line can be written by using the standard form of the equation of line y = mx + b,

What is the equation of a line?

The general equation of a straight line is y = mx + c, where m is the gradient, and y = c is the value where the line cuts the y-axis.

An equation of a line can be written in the form y = mx + b, where m is the slope of the line and b is the y-intercept.

To find the equation of a line that is perpendicular to another line, you will need to find the negative reciprocal of the slope of the original line.

For example, suppose you have a line with the equation y = 3x + 2.

The slope of this line is 3, so the slope of a line that is perpendicular to it would be the negative reciprocal of 3, which is -1/3.

The equation of the perpendicular line would be y = -1/3x + b, where b is the y-intercept.

To find the y-intercept of the perpendicular line, you can plug in the coordinates of a point on the original line into the equation of the perpendicular line.

For example, if you know that the original line passes through the point (4, 14), you can substitute these values into the equation y = -1/3x + b to find the value of b.

This gives you the equation -1/3x + b = 14, so b = 14 + 1/3x.

Substituting x = 4 gives you b = 14 + 1/3(4) = 14 + 4/3 = 18/3, so the equation of the perpendicular line is y = -1/3x + 18/3.

Hence, An equation of a line can be written by using the standard form of the equation of line y = mx + b,

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Answer: Angle LPO

Step-by-step explanation:

Answer:

the first option

Step-by-step explanation:

well, 9 +(-6) = 3

so the equations last part is changed, but the rest stays the same

The  range of (f + g)(x) is (f + g)(x) > 3 for all values of x.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Gives are two function, f(x) = |XI + 9 and g(x) = -6, we need to find the range of (f + g)(x),

f(x)=|x|+9 and g(x)= -6

Taking the sum of the functions:

f(x) + g(x) = |x|+9  + (-6)

f(x) + g(x) =  |x|+9 - 6

f(x) + g(x) =   |x|+3

Due to the modulus of x which is positive,

Hence (f + g)(x) is greater to 3 for all values of x

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When the cosine of an angle (0) is 3/5 and the angle lies in quadrant 4, the exact value of the sine of that angle is -4/5.

To find the exact value of sin(0), we can utilize the Pythagorean identity, which states that \(sin^2(x) + cos^2(x) = 1,\) where x is an angle in a right triangle. Since the terminal side of the angle (0) is in quadrant 4, we know that the cosine value will be positive, and the sine value will be negative.

Given that cos(0) = 3/5, we can determine the value of sin(0) using the Pythagorean identity as follows:

\(sin^2(0) + cos^2(0) = 1\\sin^2(0) + (3/5)^2 = 1\\sin^2(0) + 9/25 = 1\\sin^2(0) = 1 - 9/25\\sin^2(0) = 25/25 - 9/25\\sin^2(0) = 16/25\)

Taking the square root of both sides to find sin(0), we have:

sin(0) = ±√(16/25)

Since the terminal side of (0) is in quadrant 4, the y-coordinate, which represents sin(0), will be negative. Therefore, we can conclude:

sin(0) = -√(16/25)

Simplifying further, we get:

sin(0) = -4/5

Hence, the exact value of sin(0) when cos(0) = 3/5 and the terminal side of (0) is in quadrant 4 is -4/5.

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Note the correct and the complete question is

Q- Find the exact value of sin(0) when cos(0) =3/5 and the terminal side of (0) is in quadrant 4​ ?

The final result is 16. The equation to show the entire two-step process: 2x3 - 2 = 16.

To model each two-step operation by drawing algebra tiles 2x3 = 5, we can follow these steps:

Step 1: Draw two rectangles, each with three tiles along one edge and two tiles along the other edge. Arrange the rectangles so they form a long, rectangular array.

There should be six tiles in each row, and the array should have three rows.

Step 2: Count the total number of tiles in the array. The array contains 18 tiles, so the expression 2x3 is equal to 18.

Step 3: Remove two tiles from the array so that there are only 16 tiles remaining.

This represents the second step in the problem, which is to subtract 2 from the result of the first step.

The final result is 16.

Step 4: Write the equation to show the entire two-step process:

2x3 - 2 = 16.

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Answer:

Step-by-step explanation:

(14 - 7x)/7 =

[7(2-x)]/7 =

2-x

Notice that

85 = 43 + 3•14

1 = 43 - 3•14

so that if \(1 \le X \le 85\), then \(X\) is within 3 standard deviations of the mean. The given rule then says

\(\mathrm{Pr}(1 \le X \le 85) \approx \boxed{0.997}\)

In supply and demand problems, "y" represents the quantity of items produced or bought, while "x" represents the price per item. Understanding the relationship between price and quantity is crucial in analyzing market dynamics, determining equilibrium, and making production and pricing decisions.

In supply and demand analysis, "x" represents the price per item, and "y" represents the corresponding quantity of items supplied or demanded at that price. The relationship between price and quantity is fundamental in understanding market behavior. As prices change, suppliers and consumers adjust their actions accordingly.

For suppliers, as the price of an item increases, they are more likely to produce more to capitalize on higher profits. This positive relationship between price and quantity supplied is often depicted by an upward-sloping supply curve. On the other hand, consumers tend to demand less as prices rise, resulting in a negative relationship between price and quantity demanded, represented by a downward-sloping demand curve.

Analyzing the interplay between supply and demand allows economists to determine the equilibrium price and quantity, where supply and demand are balanced. This equilibrium point is critical for understanding market stability and efficient allocation of resources. It guides businesses in determining the appropriate production levels and pricing strategies to maximize their competitiveness and profitability.

In summary, "x" represents the price per item, and "y" represents the quantity of items supplied or demanded in supply and demand problems. Analyzing the relationship between price and quantity is essential in understanding market dynamics, making informed decisions, and achieving market equilibrium.

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Answer:

One out of four chance. ( 1/4)

It is one fourth because on a six sided die, there are only 4 that are smaller then 5.

Answer:

X is 26

Step-by-step explanation:

Hahahah don't be mad

One straight line is 180°

So

2x-10+5x+8 = 180

7x = 180-8+10

X = 26

The volume of the remaining portion of the sphere is 2.096 cubic units.

Let's take the volume of the remaining portion of the sphere = V

The volume of the sphere = \(\frac{4}{3}\) * π * \(r^3\)

The volume of the sphere with radius 1  = 4/3 * π

The volume of the cylinder = π * \(r^2\) * h

The volume of the cylinder with height 2 and radius 1 = π * \(r^2\) * h = 2 * π.

The difference between the volume of the sphere and the cylinder is

V = 4/3 * π - 2 * π = 4/3 * π - 2 * π = 2/3 * π.

By taking π = 3.14

V = \(\frac{2}{3}\) * 3.14

V= 2.096.

So, the volume of the remaining portion of the sphere is 2.096 cubic units.

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Answer:

Slope: -3/4

y-intercept: (0,-5)

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Answer and step-by-step explanation:

I am assuming the equation is:

\(y + 2 = -\frac{3}{4}(x + 4)\)

It will be easier if we convert the fraction to a decimal, for now.

\(y + 2 = -0.75(x + 4)\)

Then we can simplify a bit, using the distributive property.

\(y + 2 = -0.75x - 3\)

Now, we want to have the y all by its self. So, let's subtract 2 on both sides.

\(y + (2 - 2) = -0.75x + (-3 - 2)\)

\(y = -0.75x - 5\)

Let's convert the decimal back into a fraction.

\(y = -\frac{3}{4}x - 5\)

Now we have our equation. To start graphing, let's plot the y-intercept. Our y-intercept is -5. So we can plot the point (0, -5). Now, we need to find the slope. The slope is \(-\frac{3}{4}\). It's negative, which means that the line will start from the top right to the bottom left. That means that every time we move to the right one unit, we will move down 0.75 units. I hope this helps!

Answer:

7 books

$27

Step-by-step explanation:

3x + 6= 5x - 8

3x - 5x = -14

-2x= -14

x= 7 books

he has (3×7)+6= $27

Let comics be c and mystery be m

Cost be y

c=m

The equations are

Solve for m

He has

Answer:

I got −7.53112887414 and 0.531128874149

Step-by-step explanation:

plugged in

The magnitude and direction of the vector are r = √61 and θ = 50.194°, respectively.

In this problem we have the representation of a vector in rectangular coordinates, whose magnitude and direction must be determined:

Point in rectangular coordinates:

P(x, y) = (x, y)

Magnitude

r = √(x² + y²)

Direction

θ = tan⁻¹ (y / x)

Where:

If we know that x = 5 and y = - 6, then the magnitude and the direction of the vector are, respectively:

Magnitude

r = √[5² + (- 6)²]

r = √61

Direction

θ = tan⁻¹ (- 6 / 5)

θ = 50.194°

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Answer:

5.7

Step-by-step explanation:

1.9 x 2 = 3.8 + 1.9 = 5.7

Answer:

5.7 miles

Step-by-step explanation:

1.9*2 = 3.8

She ran 3.8 miles on the second day

1.9 + 3.8 = 5.7

She ran 5.7 miles in total

Answer:

<E

Step-by-step explanation:

The points need to be in order.  P is the second to the last on the list and so is E.

Answer:

Step-by-step explanation:

let the ratio of men women and children be 13x 5x and 7x

now

13x + 5x + 7x = 4152

25x = 4152

x = 4152/25

x = 166.08

Answer:

∠3 = 81

Step-by-step explanation:

Interior angles in a triangle add up to equal 180°

Hence, 58° + 41° + ∠3 = 180

58 + 41 = 99

99 + ∠3 = 180

* subtract 99 from each side *

99 - 99 cancels out

180 - 99 = 81

we're left with ∠3 = 81°

(1) We incorrectly interpret the beta number, compare the two, and draw the inference that because the beta for years is greater than the beta for income, the beta for years of experience is stronger.

(2) The ANOVA will reveal who consistently does better in terms of the typical amount of time needed to finish a job.

1) Assume you predicted the variable "Number of Promotion Earned" by regressing it against just two other variables, "Income in $s" and "Years of Experience."

When compared to the beta for years of experience, the income beta is quite modest. You incorrectly interpret the beta number, compare the two, and draw the inference that because the beta for years is greater than the beta for income, the beta for years of experience is stronger.

But until we standardize the variables, this is incorrect. Then they can be put side by side.

2) As HR, I was questioned about whether employees who earn more money perform better. Do those with higher salaries complete the same task more quickly? I've been given data with two columns: "HIGH" salary people's income, and "LOW" salary people's income.

I conduct an ANOVA method test on two groups of individuals and track their typical completion time. The ANOVA will reveal who consistently does better in terms of the typical amount of time needed to finish a job.

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The complete question is:

First, how can graphics and/or statistics be used to misrepresent data? Where have you seen this done? Second, image that you are a human resources (HR) analyst reporting to a recently hired supervisor. Your supervisor has asked you to provide an example of data processed by HR. Describe one type of data that an HR department may process, and discuss a corresponding statistical method that may be used to summarize the data.

This value is approximate.

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

Work Shown:

First we need to find angle C

A+B+C = 180

46+73+C = 180

119+C = 180

C = 180 - 119

C = 61

This is not the final answer, so answer choice B is likely a trick/trap answer.

We'll use this angle value to help find side c. Use the law of sines

c/sin(C) = b/sin(B)

c/sin(61) = (32.3)/sin(73)

c = sin(61)*(32.3)/sin(73)

c = 29.5410185554849 which is approximate

c = 29.5 which points us to choice A as the final answer.