The diameter of a hat is 5.3 inches. What is the distance around the hat using π = 3.14? Round to the hundredths place.

22.05 inches
16.64 inches
8.32 inches
1.69 inches

Answer:

B. y= -x^2+50x-300

Step-by-step explanation:

A. y^2=4x^2-100

B. y= -x^2+50x-300

C. x=-y^2-400

D. x^2=-6y^2+200

we are to find profits (y) when the company sells x items

Option A can be used to calculate the profit (y) squared

Option B can be used to calculate profits (y)

Option C can be used to calculate items sold(x)

Option D can be used to calculate items sold squared(x^2)

We are asked to find the weekly profit (y) function which eliminate options A, C and D leaving us with option B

Therefore, the weekly profits (y) function in thousands of dollars when the company sells x items is

B. y= -x^2+50x-300

Answer:

3/4

Step-by-step explanation:

1/4+1/4+1/4=3/4 or 0.75

Answer:

x = 9.5

y = 15

Step-by-step explanation:

The sum of angles A and C is equal to 180° because they are supplementary angles:

10x - 22 + 4x + 68 = 180 add like terms

14x + 46 = 180 subtract 46 from both sides

14x = 134 divide both sides by 14

x = 9.5 approximately

The perimeter is calculated by adding all side lengths up:

AB + CD + AD + BC

AB = AC because this is an isosceles trapezoid

20 + 20 + 15 + 40 = 95

CD is equal to 20 so the value of y:

2y - 10 = 20 add 10 to both sides

2y = 30 divide both sides by 2

y = 15

Answer:

  A:  x = 9 4/7

  B:  y = 15

  C:  P = 95 units

Step-by-step explanation:

You want the values of x and y, and the perimeter of the isosceles trapezoid ABCD with AB=20, CD=2y-10, AD=15, BC=40, AD║CB, angle A=10x-22, and angle C=4x+68.

The value of x can be found using the fact that base angles are congruent and the sum of angles on one side of the trapezoid is 180°.

  ∠A +∠C = 180

  (10x -22) +(4x +68) = 180 . . . . . use the given angle expressions

  14x +46 = 180 . . . . . . . . . . . . simplify

  14x = 134 . . . . . . . . . . . . . . subtract 46

  x = 134/14 = 9 4/7 . . . . divide by 14

The value of x is 9 4/7.

Sides of the isosceles trapezoid are congruent

  CD = AB

  2y -10 = 20 . . . . . substitute the given lengths

  2y = 30 . . . . . . add 10

  y = 15 . . . . . divide by 2

The value of y is 15.

The perimeter is the sum of the side lengths.

  P = AB +BC +CD +AD

  P = 20 +40 +20 +15 = 95

The perimeter is 95 units.

__

Additional comment

The expressions for the angles and the value of x are impossible in this figure. For the found value of x, angle A is 73 5/7°, and angle C is 106 2/7°. The angle adjacent to the short base will be obtuse, so these are impossible measures.

For the given side lengths, angle A is 128.7°, and angle C is 51.3° (using trigonometry).

It is given that a set of real numbers s is non-empty and bounded. The objective is to prove that inf s ≤ sup s. This statement can be justified as below.

Firstly, as per the definition of bounded set, it is known that the set s has both lower and upper bounds. Thus, the infimum and supremum of s exist and are denoted as inf s and sup s, respectively.

Since s is non-empty and bounded, it can be observed that every element of the set s is greater than or equal to inf s and less than or equal to sup s.

Therefore, inf s is the greatest lower bound of s and sup s is the least upper bound of s, implying that inf s ≤ sup s. Hence, it is proven that inf s ≤ sup s for a non-empty set s of real numbers that is bounded.

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Answer:

the correct graph is A

Step-by-step explanation:

Note that the red line passes through (0, 2), which is the y-intercept, b, in y = mx + b.  Thus the correct answer must be A or B, not C or D.

Besides (0, 2), another point on this line is (1, 3).

The increase in x going from 0 to 1 is 1; this is the 'run'.  That in y going from 1 to 3 is 2; this is the 'rise.'  Therefore the slope is m = rise / run = 2/1 = 2.

Thus the correct graph is A; its slope is 2 and its y-intercept is 1.

The undefined geometric term that is described as a two-dimensional set of points is a "plane."

A plane in geometry is an abstract concept that represents a flat, two-dimensional surface that extends infinitely in all directions. It is a fundamental geometric term that helps us understand and analyze spatial relationships.

When we say that a plane has no thickness, we mean that it is infinitely thin. It does not have any depth or volume. Instead, it is defined by its length and width, which are the dimensions that determine its size and shape.

To visualize a plane, we often use a flat, infinite sheet of paper or a tabletop as a representation. These objects provide a tangible example of a two-dimensional surface that we can observe and work with in the physical world.

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The most appropriate model to represent the data in the table is (d)

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

The table of values

In the above table of values, we can see that

To show as the number of miles change by day

A linear or line graph has to be plotted

Hence, the most appropriate model to represent the data is (d)

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Answer: 8

Step-by-step explanation:

To determine the height of a tree using geometric means, we can set up a proportion based on similar triangles.

Let's assume "h" represents the height of the tree.

We have the following information: Distance from the tree: 8 ft

Height to your eyes: 4 ft

We can set up the proportion: Your height to distance = Tree height to distance

4 ft / 8 ft = h / (8 ft + h)

To solve for "h," we can cross-multiply and then solve the resulting equation:

4 ft * (8 ft + h) = 8 ft * h

4(8 + h) = 8h

32 + 4h = 8h

32 = 4h

Divide both sides of the equation by 4:

8 = h

Therefore, the height of the tree is 8 feet.

Answer:

The simplified expression is \(\frac{7x+36}{6}\)

Step-by-step explanation:

Lets simplify the expression

\(\frac{3x+11}{2}-\frac{2x-3}{6}\)

To write \(\frac{3x+11}{2}\) as a fraction with a common denominator, multiply by \(\frac{3}{3}\).

\(\frac{3x+11}{2}*\frac{3}{3} -\frac{2x-3}{6}\)

Multiply.

\(\frac{3(3x+11)}{2*3}-\frac{2x-3}{6}\)

Simplify the numerator by applying the distributive property.

\(\frac{3x*3+11*3-(2x-3)}{6}\)

Multiply 3 by 3.

\(\frac{9x+11*3-(2x-3)}{6}\)

Multiply 11 by 3.

\(\frac{9x+33-(2x-3)}{6}\)

Apply the distributive property.

\(\frac{9x+33-(2x)--3}{6}\)

Two negatives is a positive.

\(\frac{9x+33-2x+3}{6}\)

Subtract \(2x\) from \(9x\).

\(\frac{7x+33+3}{6}\)

Add 33 and 3.

\(\frac{7x+36}{6}\)

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Answer:

9

Step-by-step explanation:

Mathematically, OPPOSITES are the same distance away from zero, but on opposite sides of zero on the number line. Use the drawing tools to plot a point at the opposite of each colored point. The absolute value of 0 is 0. Two numbers are opposites if they have the same absolute value but different signs. Opposites are the same distance from 0 on a number line, and they are on opposite sides of 0. The opposite of 0 is 0.

In mathematics, a plane is a two-dimensional surface that can be enlarged indefinitely. In order to make a plane we need at least 3 points.

In order to make a plane we need at least 3 points. Let A, B and C are three points which can be defined by two particular vector AB and AC.

As the two vectors is located on the plane, we can use their cross product to define a normal vector on the plane.

As we see a triangle which is a two-dimensional geometric figure that is developed based on 3 points. Triangle is the smallest polygon. The other polygon needs more point for creation.

Therefore, it is proved that minimum three points is mandatory for plane formation.

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Answer:

You can make 1200000000000 burgers with a billion cows

Step-by-step explanation:

1200X1000000000=1200000000000

The statement is partially correct. because, If the study used volunteers who self-selected to participate, then it may not be a representative sample of the entire population with a moderate case of the disease, and therefore the results may not be generalizable to the population.

However, it is important to note that not all studies need to use random sampling in order to draw meaningful conclusions. In some cases, non-random samples may still provide valuable insights into the topic of interest.

In any case, if the study did use volunteers who self-selected to participate, it is important for the researchers to acknowledge this limitation in their conclusions and to avoid overgeneralizing the findings beyond the sample they studied.

The statement is partially correct. because, If the study used volunteers who self-selected to participate, then it may not be a representative sample of the entire population with a moderate case of the disease, and therefore the results may not be generalizable to the population.

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Answer:

\(x^2 - 10x + 25\)

Step-by-step explanation:

Hello!

Expand the square using the Distributive Property.

Distributive x - 5 to each factor

The answer is \(x^2 - 10x + 25\).

We can also use a special binomial product formula.

Formula: \((a - b)^2 = a^2 - 2ab + b^2\)

We get the same answer both ways.

0.003 is the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations

To calculate the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations.The mean is the expected number of calls involving a fax transmission, while the standard deviation is the measure of variability in the distribution. We then use this information to calculate the probability of exceeding the expected number by more than 2 standard deviations, which can be done using the z-score formula. The z-score for values more than 2 standard deviations away from the mean is 2.33, which corresponds to a probability of 0.003. Thus, the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations is 0.003.

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the measure of the angle between the vectors u and v is 45 degrees.

To find the measure of the angle between two vectors, u and v, we can use the dot product formula:

u · v = |u| * |v| * cos(θ)

where u · v is the dot product of u and v, |u| and |v| are the magnitudes of u and v respectively, and θ is the angle between u and v.

First, let's calculate the dot product of u and v:

u · v = (-7)(-4) + (0)(4) = 28

Next, let's calculate the magnitudes of u and v:

|u| = √((-7)² + 0²) = √49 = 7

|v| = √((-4)² + 4²) = √32 = 4√2

Substituting these values into the dot product formula:

28 = (7)(4√2) * cos(θ)

Now, solve for cos(θ):

cos(θ) = 28 / (7 * 4√2) = 2 / √2 = √2

To find the angle θ, we can take the inverse cosine (cos^(-1)) of √2:

θ = cos⁻¹(√2)

Using a calculator, the value of cos⁻¹(√2) is approximately 45 degrees.

Therefore, the measure of the angle between the vectors u and v is 45 degrees.

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Complete question is below

Find the measure of the angle between the two vectors. u = -7i and v = -4i + 4j

At the moment when the radius is 12 inches, the balloon is inflating at a rate of 20 cubic inches per second.

To determine the rate at which the radius is changing, we can use the formula for the volume of a sphere, which is given by \(V = \left(\frac{4}{3}\right)\pi r^3\), where V is the volume and r is the radius.

Taking the derivative of both sides with respect to time t, we get \(\frac{dV}{dt} = 4\pi r^2\left(\frac{dr}{dt}\right)\), where \(\frac{dV}{dt}\) represents the rate of change of volume with respect to time and \(\frac{dr}{dt}\) represents the rate of change of radius with respect to time.

Given that \(\frac{dV}{dt} = 20\) cubic inches per second, we can substitute this value into the equation and solve for \(\frac{dr}{dt}\) when r = 12 inches:

\(20 = 4\pi (12)^2 \left(\frac{dr}{dt}\right)\)

Simplifying the equation:

\(20 = 576\pi \left(\frac{dr}{dt}\right)\)

Dividing both sides by 576π:

\(\left(\frac{dr}{dt}\right) = \frac{20}{576\pi}\)

Therefore, the rate at which the radius is changing when the radius is 12 inches is approximately \(\frac{20}{576\pi}\) inches per second.

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The measure of the variable z is 44.

Two triangles are said to be comparable if their two sides are in the same ratio as the two sides of another triangle and their two sides' angles inscribed in both triangles are equal.

Given:

As, the Triangles are similar.

and, we know that similar triangles have their ratio of the corresponding sides equal.

Then, z/ 45 = 44/ 45

45z = 44 x 45

z = 44

Hence, the measure of z is 44.

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Answer:

14.8

Step-by-step explanation:

cos 36° = 12/x

x = 12 /cos 36°

Answer:

D

Step-by-step explanation:

If you see the graph you can see that the first 1 hour it decreases 2 cm

PLZ MARK ME BRAINLIEST

Answer:

Step-by-step explanation:

Ok, I hate point-slope form but I can help!

I'm going to answer slope-intercept first, then point slope.

2. y = 1/4x - 1 ; y+2 = 1/4(x+4)

3. y = -3/2x + 1 ; y+2 = -3/2(x-2)

4. y = x - 2 ; y-1 = 1(x-3)

Hope this helps!

Step-by-step explanation:

the first option is the answer because the exponent always stands base 10 power a value or (10^n)

Answer:

-10x+30

Step-by-step explanation:

just got it right on edg 2021 :)

None of these are correct

Answer:

Step-by-step explanation:divide both sides by the coefficient of x that is the number beside x and in inequality, when dividing with a negative sign the sign would change to its opposite sign.

-6<-2x

-6/-2>-2x/-2

3>x

X<3 this is the answer.

Answer:

25

Step-by-step explanation:

x + 25 = 50

=> x = 50 - 25

=> x = 25

Answer:

x = 25

Step-by-step explanation:

x + 25 = 50

Solve for x;

Step 1 :- Move 25 to the right-hand side and change their sign.

Step 2 :- Subtract 25 from 50.

Solution of a system of equations involving quadratic functions, required to calculate the values of the variables that satisfy both equations simultaneously.

Write down the equations in standard form.

A quadratic equation can be written in the form ax² + bx + c = 0, where a, b, and c are constants.

Similarly, a system of quadratic equations can be written in the form.

a₁x² + b₁x + c₁= 0

a₂x² + b₂ x + c₂ = 0

Rearrange one of the equations so that one of the variables is expressed in terms of the other.

Then substitute this expression into the other equation to obtain a single quadratic equation in one variable.

Solve the resulting quadratic equation using any of the available methods.

Such as factoring, completing the square, or using the quadratic formula.

Once you have found the values of the variables.

Substitute them back into one of the original equations to find the corresponding values of the other variables.

Check the solutions by plugging them into both equations and verifying that they satisfy both equations.

If the two equations do not have any real solutions, then the system has no real solutions.

If the two equations have infinitely many solutions, then the system is dependent.

And one of the equations is a multiple of the other.

Here, the solution set is given by the equation of the dependent line.

If the two equations have a unique solution, then the system is independent.

And the solution set is given by the coordinates of the intersection point of the two graphs.

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