Question 10 (1 point)
(01.03 MC)
What is the simplified expression for 54.53 55?


5²

53

54

55

The diameter of Raquel's "trashball" should be equal to 5 inches.

The circumference of the "trashball" should be equal to 15.7 inches.

In order to calculate the circumference of Raquel's trashball, we would use the formula for the circumference of a circle. Mathematically, the circumference of a circle can be calculated by using this formula:

C = 2πr

C = πD

Where:

Since Raquel wants the "trashball" to have a diameter that is 1/4 the diameter of the top of the trash can, we have;

Raquel's trashball diameter = 1/4 × diameter of the top of the trash can.

Raquel's trashball diameter = 1/4 × 20

Raquel's trashball diameter = 5 inches.

Next, we would determine the circumference of the "trashball" as follows;

C = 3.14 × 5

C = 15.7 inches.

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Answer:

Part 1 is 5 inches

Part 2 is 15.7 inches

y = (10/3)x + 8 will be the equation for the parallel line that passes through the point (-3, -2).

Make the line's equation y = MX + c.

The parallel line that is parallel to the line y = MX + c is therefore given the equation as, y = MX + d.

The equation for line k is y=(10/3)x+9.

Line l is parallel to line k and comprises the coordinates (-3, -2).

y = (10/3)x + d

The line's equation is passing across (–3, –2). The parallel line's equation is therefore given as:

–2 = (10/3)(–3) + d

–2 = –10 + d

d = 10 – 2

d = 8

Therefore, y = (10/3)x + 8 will be the equation for the parallel line that passes through the point (-3, -2).

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Complete question:
Line k has an equation of y= 10/3x+9. Line l includes the point ( – 3, – 2) and is parallel to line k. What is the equation of line l?

Answer:

15.6 ounces

Step-by-step explanation:

6.95 + (6.95 + 1.7) = 15.6 ounces

Answer:

Step-by-step explanation:

2.) 143 7/23

3.) 291 46/48

4.) 220

5.) 56

6.) 1292 63/4

The closure property states that any operation performed on the numbers of a set will be closed under that very state.

This means that in any mathematical operation like multiplication, addition, subtraction, or division when performed on two or more numbers of a particular set, the result will belong to that very set.

For example, addition is closed under whole numbers. This means tat the sum of any 2 whole numbers will always be a whole number.

For example, the sum of whole numbers 10 and 20 is 0, a whole number.

Another case is that of subtraction, which is closed under integers.

For example- the difference between integers 30 and 40 is -10, which is an integer.

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Answer:

See pictures below

Step-by-step explanation:

Desmos is a free graphing calculator.  Draw the line of the equation and then < will be everything below the line and > will be everything above the line.  The portion that is shaded by both colors is the answer.

y = mx + b

The "b" part of the equation tells you the point that the graph crosses the y axis.

The "m" part is the slope.  The rise over the run.

The dimension of a rectangle is 15m and 15m.

Here we have to find the area of a rectangle as large as possible.

Data given:

Perimeter = 60m

The formula for the perimeter of the rectangle:

perimeter = 2(length + breadth)

60 = 2( l + b)

l + b = 30

We have to find the largest area, so when we will take the length and

breadth same then we get the largest area.

So length = breadth

2 length = 30

length = 15m

length = breadth = 15m

Therefore the dimensions are 15m and 15m.

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The area of the shaded sector of the circle will be 12π units².

Area of a sector of a circle = θ/360 × πr², where r is the radius of the circle and θ is the central angle.

In circle Q, QR = 6 and m∠RQS = 120°.

As per the given question given data:

θ = 120°

r = QR = 6

Substitute the values in the formula to get:

Area of sector of a circle = 120/360 × π(6)²

Area of sector of a circle = 1/3 × π(36)

Area of a sector of a circle = 12π units²

Thus, the area of the shaded sector of the circle is 12π units².

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The question seems to be incomplete the correct question would be:

In circle Q, QR = 6 and m∠RQS = 120°. Find the area of the shaded sector.

Express your answer as a fraction times pi.

Answer: -5

Step-by-step explanation:

Let's start with what we know:

Range is the lowest point on the graph subtracted from the highest point on the graph. Therefore, in this equation, we do:

-9 - (-4) = -5

So the range is -5.

The measure of one of 10 sides regular polygon angles is 144 degrees.

What is regular polygon?

A regular polygon is one that is direct equiangular and equilateral in Euclidean geometry. Regular polygons can be skew, convex, or star-shaped.

If a polygon's sides and angles are equal, it is said to be regular. As a result, an equilateral triangle is a regular triangle, and a regular quadrilateral is a square.

Let the given regular polygon is 10 sides.

Since, sum of all angels of a 'n' sided polygon = (n - 2)180 degrees.

Value of each angle, in a 'n' sided regular polygon = [(n - 2)180]/n.

So, a 10 sided polygon, sum of all the angles

= (10 - 2) × 180

= 1440 degrees.

Value of each angle, in case it is a regular polygon = 1440/10 = 144 degrees.

Hence, the measure of one of 10 sides regular polygon angles is 144 degrees.

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(1 + cos(x)) sin(x) is equivalent to the expression (1 + cos(x))² tan(x/2)

Trigonometric Identities are the equalities that involve trigonometry functions and holds true for all the values of variables given in the equation

Given: the expression (1 + cos(x))² tan(x/2)

(1 + cos(x))² tan(x/2)

In trigonometric Identity:

Since tan(x/2) = sinx / (1+cosx). We have:

(1 + cos(x))² tan(x/2) = (1 + cos(x))² [sin(x) / (1+cos(x))]

(1 + cos(x))² tan(x/2) = (1 + cos(x)) sin(x)

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Answer:

(6.25, 10)

Step-by-step explanation:

red = x. blue = y

Jackie: 4x + 5y = 75

Sam: 4x + 4y = 65

Solving by elimination

4x + 5y = 75

4x + 4y = 65

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

(4x + 5y = 75) × -1

-4x - 5y = -75

-4x - 5y = -75

4x + 4y = 65

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

         -y = -10

         ÷-1   ÷-1

       --------------

          y = 10

4x + 4y = 65

4x + 4(10) = 65

4x + 40 = 65

     -40    -40

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

4x = 25

÷4   ÷4

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

x = 6.25

(6.25, 10)

Each red block weighs 6.25 ounces.

Each blue block weighs 10 ounces.

I hope this helps!

Answer: i think

Step-by-step explanation:

Answer:

Graph B!!!!

On Edge 2023 Quiz

Step-by-step explanation:

Answer:

Option B is correct

The numerical values of the circumference and area are equal.

Step-by-step explanation:

Circumference(C) and Area (A)of the circle is given by:

             ....[1]

          ......[2]

where, r is the radius of the circle.

As per the statement:

A circle has a diameter of 4 inches.

We know:

Diameter = 2 (radius(r))

then;

4 = 2r

Divide both sides by 2 we have;

r = 2 inches

Substitute these in [1] and [2] we have;

Therefore, the numerical values of the circumference and area are equal i.e 12.56

Answer:      .48

Step-by-step explanation:

Answer:

0.55 m/s²

Step-by-step explanation:

Fnet = 150 N - 84 N = 66 N

a = Fnet/m = (66 N) / (120 kg) = 0.55 m/s²

The expression (2.5 x 10⁻⁹) − (5.8 x 10⁻⁸) simplies to -5.55 × 10⁻⁸. Option A. is the answer

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form

Given: (2.5 x 10⁻⁹) − (5.8 x 10⁻⁸)

In order to simplify (2.5 x 10⁻⁹) − (5.8 x 10⁻⁸) rewrite one of the expressions so that the expressions will have the same power. Then, subtract. That is:

(2.5 x 10⁻⁹) − (5.8 x 10⁻⁸) = (0.25 x 10⁻⁸) − (5.8 x 10⁻⁸)

                                      =  (0.25 − 5.8) × 10⁻⁸

                                      =  -5.55 × 10⁻⁸

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The difference between the predicted regression value and the actual value is called the residual.

Let's assume a simpler model: Y= β₀+ β₁X + E. For linear regression, let ε∼N(0,σ2). The most important thing here is that ϵ is a normal random variable. This makes Y a normal random variable with mean β0+β1X and variance σ₂.

Regression Analysis:

Regression analysis is a set of statistical techniques used to estimate the relationship between a dependent variable and one or more independent variables. It can be used to assess the strength of relationships between variables and model future relationships between variables.

Assumptions:

One of the main assumptions of regression analysis is that residuals with mean equal to 0 are normally distributed. Residuals must be both positive and negative. If this condition is not met (residuals are only positive or negative, i.e. the model is either consistently Regardless, it means that it has not been properly selected for prediction.

Poor predictions are due to (i) the regression model should contain non-linear terms rather than only linear terms, (ii) multicollinearity of the independent variables, and (iii) missing important predictor variables (features). Poor understanding of the problem and data, (iv) non-constant data variance, or (v) extrapolation (prediction) far beyond the range of the independent variables used to estimate the parameters of the model.

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Answer:

[tex]\frac{31}{2} , 15.5[/tex]

Step-by-step explanation:

As you follow PEMDAS and go from left to right, you will begin with addition and end with division.

It may make it easier to visualize it as such:
( ( (6+4) +11+10) ÷ 2)

Furthermore, this will end up being
(31÷2)

This may be written as a fraction or decimal as either:

[tex]\frac{31}{2}[/tex] or [tex]15.5[/tex]

If one flock is flying at a rate of 25 miles per hour and the other flock is flying at a rate of 37 miles per hour then both the flocks will meet each other after 3.39 hours.

Given, two flocks of birds are 210 miles apart and heading directly toward each other. one flock is flying at a rate of 25 miles per hour.

In comparison, the other flock is flying at a rate of 37 miles per hour.

We have to find in how much time will the two flocks meet.

Let, both take t hours to meet,

now, according to the question

first flock will travel the distance, 25t

and similarly second flock will travel the distance, 37t

so, 25t + 37t = 210

62t = 210

t = 3.39

So, both the flocks will meet each other after 3.39 hours.

Hence, if one flock is flying at a rate of 25 miles per hour and the other flock is flying at a rate of 37 miles per hour then both the flocks will meet each other after 3.39 hours.

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The probability that more than a minute foes by without a hit is  0.0498.

Let X denote the waiting time in minutes until the next hit.

From the question, we have

The probability density function of exponential distribution is,

f(x)=λe^(-λ*)        λ>0

Probability =

P(X>1) =∫_1^∞  3e^(-3x) dx

=3(e^(-3z)/(-3))_1^∞

=e^(-3)

=0.0498

Probability = 0.0498

Probability:

Possibility is referred to as probability. This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Probability has been applied into mathematics to predict the likelihood of different events. Probability generally refers to the degree to which something is likely to occur. This fundamental theory of probability, which also applies to the probability distribution, can help you comprehend the possible outcomes for a random experiment. Gonna determine how likely something is to occur, use probability. Many things are hard to predict with 100% certainty. We can only anticipate the possibility of an event occurring using it, or how likely it is.

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Answer:

We know P(x<$180,000)=.25 and P(x>$320,000)=.25

Using the formula for normal distributions, we can find the mean and standard deviation (z = (x-mean)/SD) using the given info. Then you'll have two equations with two unknowns.

Finally when finding part a, make sure to do a continuity correction [P(x<$200,000) = P(x≤$200,000.5) = ?]

Step-by-step explanation:

We can use the distributive property to find an expression equivalent to 15(x+2) as 15x + 30.

The given equation is 15(x+2).

The distributive property can be used on the component outside of the brackets, that is 15.

Therefore, we would multiply 15 by each term inside the rounded brackets.

It becomes, 15 times x = 15x and 15 times 2 = 30

That is, 15*(x+2) = 15* x +15* 2 = 15x + 30

Hence, the equation 15(x+2) becomes 15x + 30.

By using the distributive property, expression equivalent to 15(x+2) is 15x + 30

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The perimeter of the given right-angle triangle is 40 cm.

In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

We also know that the perimeter of a triangle is the sum of the lengths of all the sides.

First, we need to figure out the length of the base of the right-angle triangle.

Assuming the base to be 'x'.

∴ 17² = 15² + x².

x² = 17² - 15².

x² = 64.

x = ± 8.

So, The base of the triangle is 8 cm.

∴ The perimeter of the triangle is (17 + 15 + 8) = 40 cm.

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Answer:

D

Step-by-step explanation:

the line isn’t dotted so we take also the points that lies on the line

the shaded part is right the line so we take the points >

Answer:

To find the total annual interest on Nora's two investments, we need to calculate the interest earned on each investment and then add the two amounts together. To find the interest earned on the first investment, we need to multiply the amount invested by the interest rate and the length of time the investment is held. The investment of $800 is held for one year, so the interest earned on this investment is $800 x 6% x 1 = $48. To find the interest earned on the second investment, we need to use the same formula. The investment of $1200 is also held for one year, so the interest earned on this investment is $1200 x 7% x 1 = $84. The total interest earned on both investments is $48 + $84 = $132. Therefore, Nora's total annual interest on these two investments is $132.

Step-by-step explanation:

The area is measurement of the surface of a shape. To find the area of a rectangle or a square you need to multiply the length and the width of a rectangle or a square. Area, A, is x times y.

The height of the balloon before it started its' descent is; 2660 ft

We are given a function table with;

time after descent on x-axis in minutes

Height of descent on the y-axis in feet

Let us calculate the slope with the formula;

Slope = (y₂ - y₁)/(x₂ - x₁)

Picking two coordinates;

Slope = (1960 - 2380)/(5 - 2)

Slope = -420/3

Slope = -140 feet/minutes

Now, the equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

when x = 11, y = 1120

Thus;

1120 = -140(11) + c

c = 1120 + (140 * 11)

c = 1120 + 1540

c = 2660 feet

We conclude that it is the height of the balloon before descent

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Answer:

y=-3x+5

Step-by-step explanation:

As the new line is perpendicular to the original line, the gradient of the new line (m) will be -1 ÷ gradient of original line = -1 ÷ 1/3 =3