The volume of a golf ball is approximately 4in.3 what is the diameter round you answer to the nearest whole number

A 4 in
B 6 in
C 1 in
D 2 in

Step-by-step explanation: The solution to this system of equations will be where the two lines on the graph intersect with each other.

Notice that both of them intersect to the left of the y-axis which means our x - coordinate must be negative.

They also intersect above the x-axis so our y-coordinate must be positive.

So the only option with a negative x-coordinate

and a positive y-coordinate is (-1/4, 3/4).

The area of the circle with a Diameter of 36 inches,  π = 3.14, is 1017.36 square inches.

The surface area of one mini muffin and multiply it by 6. The surface area of a cylindrical mini muffin can be calculated as 28 and 2/7 square inches. Multiplying by 6, we get a total of 169 and 1/7 square inches. Approximating the answer, we get 169 and 1/7 169.14 square inches.  the correct answer is 169 and 1/7 square inches.      

The area of the enlarged map, we need to scale up the dimensions of the state of Colorado by the scale factor of 2.5.

The length of the enlarged map would be 4 cm * 2.5 = 10 cm.

The width of the enlarged map would be 3 cm * 2.5 = 7.5 cm.

Area = length * width

Area = 10 cm * 7.5 cm

Area = 75 cm²

Therefore, the area of the enlarged map is 75 cm².

The area of a circle can be calculated using the formula:

Area = π * (radius)^2

the diameter of the circle is 36 inches, we can find the radius by dividing the diameter by 2:

Radius = 36 inches / 2 = 18 inches

Now, we can calculate the area using π = 3.14:

Area = 3.14 * (18 inches)^2

    = 3.14 * 324 square inches

    = 1017.36 square inches

the area of the circle with a diameter of 36 inches, using π = 3.14, is 1017.36 square inches.

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The required interval values are :

Given that :

Male :

Mean = 78.2 ; ADM = 8.7

Female :

Mean = 60.6 ; ADM = 8.0

The interval is calculated thus :  mean ± ADM

INTERVAL FOR MALE :

male mean value ± ADM

78.2 ± 8.7

Lower boundary = 78.2 - 8.7 = 69.5

Upper boundary = 78.2 + 8.7 = 86.9

INTERVAL FOR FEMALE :

Female mean value ± ADM

60.6 ± 8.0

Lower boundary = 60.6 - 8.0 = 52.6

Upper boundary = 60.6 + 8.0 = 68.6

Hence,

Male interval : 69.5 ≤ mean ≤ 86.9

Female interval : 52.6 ≤ mean ≤ 68.6

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True. The correlation coefficient (r) must also be positive, indicating a strong positive linear relationship between the two variables.

The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where a value of -1 indicates a perfectly negative linear relationship, a value of 1 indicates a perfectly positive linear relationship, and a value of 0 indicates no linear relationship.  If the slope (b) of ŷ is positive, it means that as the independent variable increases, the dependent variable also increases.

In addition to the above explanation, it is important to note that while a positive slope (b) of ŷ indicates a positive linear relationship between two variables, it does not necessarily mean that the correlation coefficient (r) will always be positive. For example, if there is a weak positive linear relationship between two variables, the correlation coefficient (r) may still be positive but not as strong as if there was a strong positive linear relationship. Similarly, there may be situations where the correlation coefficient (r) is positive but the slope (b) of ŷ is not positive, such as in a curvilinear relationship where the relationship between the two variables is not linear.

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Answer:

D. 77º

Step-by-step explanation:

Because 3 and 7 are corresponding angles and 3 = 77º, 7 also is 77º.

Answer:

D .8

Step-by-step explanation:

hypotenuse (h) = 10

base (b) = 6

perpendicular (p) = a= ?

We know by using Pythagoras theorem we get

p = √ h² - b²

a = √ 10² - 6²

a = √ 64

a = 8

Hope it will help :)

The Answer is: A. 52/3

SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

From the question, we can see that the graphs of f(x) and g(x) have the following in common:

I. x-intercept

II. End behavior

CONCLUSION:

I and II only --- OPTION B

Based on the given side lengths of 3cm, 7cm, and 7.4cm, the triangle is a(n) scalene triangle. In a scalene triangle, all sides have different lengths.

Triangles are described in terms of their sides and angles in geometry. A closed planar three-sided polygon shape with three sides and three angles is known as a triangle. The lengths of the sides of a scalene triangle vary. They are not equal, and the angles have three measurements. However, it still has a 180° angle sum, just like all triangles.

A scalene triangle is a triangle with three different side lengths and three different angle measurements. The total of all internal angles, however, is always equal to 180 degrees. As a result, it satisfies the triangle's condition of angle sum.

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Therefore, the annual annuity payment can be approximately $6,069,727.

To calculate the size of the annual annuity payment, we can use the present value formula for an ordinary annuity. The formula is given by:

PMT = PV / [(1 - (1 + r)⁻ⁿ) / r]

Where:

PMT = Annual annuity payment

PV = Present value of the annuity

r = Annual interest rate

n = Number of periods

Given:

PV = $230 million

r = 8% = 0.08

n = 40 years

Using the formula, we can calculate the annual annuity payment:

PMT = 230,000,000 / [(1 - (1 + 0.08)⁻⁴⁰) / 0.08]

PMT ≈ $6,069,727

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Answer:

10(x - 12)

Step-by-step explanation:

10(x - 12)

10x - 120 Distributive Property

Answer: The critical points of g(t) occur at t = ±sqrt(-d/2) if d < 0. If d ≥ 0, then dg(t)/dt is always greater than or equal to zero, so g(t) has no critical points.

Step-by-step explanation:

To find the critical points of g(t), we need to find the values of t where the derivative dg(t)/dt is equal to zero or does not exist.

Using the given information, we have:

dg(t)/dt = 4ct^3 + 2dct

Setting this equal to zero, we get:

4ct^3 + 2dct = 0

Dividing both sides by 2ct, we get:

2t^2 + d = 0

Solving for t, we get:

t = ±sqrt(-d/2)

Therefore, the critical points of g(t) occur at t = ±sqrt(-d/2) if d < 0. If d ≥ 0, then dg(t)/dt is always greater than or equal to zero, so g(t) has no critical points.

Note that we also need to assume that c is nonzero, since if c = 0, then dg(t)/dt = 0 for all values of t and g(t) is not differentiable.

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Answer:

-203 is the answers for the question

Step-by-step explanation:

please give me brainlest

Answer:

-203

Step-by-step explanation:

=> -7 + 4 + (-200)

=> -(7 - 4) + (-200)

=> -3 + (-200)

=> -(3 + 200)

= -203

If the time step used in the fourth-order Runge-Kutta approximation is reduced by a factor of 10, the error of the approximation is reduced by a factor of 1000.

The error of a fourth-order Runge-Kutta approximation of a differential equation is typically proportional to the time step cubed, assuming the function being approximated is sufficiently smooth.

Therefore, if the time step is reduced by a factor of 10, the error should be reduced by a factor of \(\(10^3\)\), or 1000.

In general, for a fourth-order Runge-Kutta method, if you reduce the time step by a factor of \(\(n\)\), the error is expected to decrease by a factor of \(\(n^3\)\).

Reducing the time step used in a fourth-order Runge-Kutta approximation by a factor of 10 will lead to a reduction in the error of the approximation by a factor of 1000.

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Answer: John is 12, Fred is 6.

Step-by-step explanation:

12/2=6

12-4=8

6-4=2

8/2=4

Answer:

John: 10

Fred: 5

Step-by-step explanation:

We can solve this like a system of equations.

Set Variables:

John: j

Fred: f

Given Info:

2f = j

j - 4 = 6(f - 4)

Use the distributive property, a(b+c) = ab+ac to simplify.

j - 4 = 6f - 24

Use info from the first equation and substitute.

j - 4 = 6f - 24

2f = j

6f = 3j

j - 4 = 3j - 24

Add 24 on both sides.

j - 4 + 24 = 3j - 24 + 24

j + 20 = 3j

Subtract j on both sides.

j - j + 20 = 3j - j

20 = 2j

Divide 2 on both sides.

\(\frac{20}{2} = \frac{2j}{2}\)

j = 10

Because j is twice f, divide 10 by 2 to get f.

10/2 = 5

Answer:

$72 / hr

Step-by-step explanation:

$36 / (1/2 hr ) =  $72 per hour

Answer:

all real values of x where 1 < x < 4

If there is anything you don't understand let me know.  Also, since the graph is supposedly shown you may even be able to get the information just by looking at the graph.  

Step-by-step explanation:

A graph  goes from being negative to positive (or the other way around) by passing through the x axis.  Or in other words when f(x) = 0.  So the trick is to find all 0s and then test if it is poitive or negative before and after the 0.  

f(x) = (x+2)(x-4) is in factored form, so it gives the 0s.  in factored form the 0s are the negatives of the numbers int he parenthesis.  Or in other words (x+a)(x+b) would have 0s at -a and -b.  Notie it is x+a but the 0 is at -a.  so for (x+2)(x-4) the zeroes would be -2 and 4.

Then checking, we can say it is positive before -2, negative after -2 up until 4, then it is positive again.

For increasing and decreasing for anything other than a quadratic and linear function you need calculus.  Since this is a quadratic though you don't need it.

With quadratics you need to know they have two parts.  An increasing part and decreasing part.  If you draw the graph of x^2 you can see it decreases until (0,0) then it starts increasing.  -x^2 is the opposite.  it won't always have the same changing point, but you can always tell if it increases first or decreases first.  You look at if the coefficient next to x^2 is positive of negative.  

In (x+2)(x-4) We have to expand first.  so it becomes x^2 - 2x - 8.  x^2 has 1 as its coefficent so we know it decreases first then increases.  Also looking at (x+2)(x-4) you could say since the two xs have the same sign we also know it would be that.  is one was positive and one negative, like (2x+1)(-3x+1) we would be able to say it increases first then decreases.  

To know when it switches, since it is in factored form you find the point in the middle of the two zeroes, and that is where it switches.  Since the zeroes are -2 and 4 we can say the middle (called the vertex) is at x=1 since it is 3 away from both 0s.  So it decreases up until 1 then increases.  

The different forms of quadratics have different easy methods of finding the vertex.

We could also actually use this information to say, since it is decreasing first we know it is positive before the first 0, then negative until the second 0, then positive again.  Still would have to find the 0s though.

So now we know it is positive and decreasing until x=-2, negative and decreasing until 1, negative and increasing until 4, then increasing after that.

Since you want negative and increasing, that is 1 < x < 4

Answer:

A general line is written as:

y = a*x + b

where:

a is the slope

b is the y-intercept.

a) y-intercept = 2 and slope = 7.

This line is:

y = 7*x + 2

b) y-intercept =  -1 and is parallel to y= 5x - 7.

Now, if two linear equations are parallel if they have the same slope and different y-intercept. Then if we want a line parallel to  y= 5x - 7, this means that the slope of this line must also be equal to 5.

y = 5*x + (-1)

c) y-intercept 2 and is inclined at 45° to the x- axis. ​

When we have an inclination of A degrees from the x-axis, the slope of the equation is given by: a = Tan(A)

In this case, we have A = 45°

Then the slope is a = Tan(45°) =  1

Then the equation of this line is:

y = 1*x + 2

Answer:

-48/165

Step-by-step explanation:

Answer:

d = \(\sqrt{34}\)

Step-by-step explanation:

\(d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d= \sqrt{(9-6)^2+(6-1)^2}\\d= \sqrt{(3)^2+(5)^2}\\d= \sqrt{9+25}\\d= \sqrt{34}\)

Step-by-step explanation:

 This problem expects us to model the equation for the total cost of the services of the plumber given the conditions stated.

Say the fixed amount charged for coming to your house is $10

say the fix amount charged per is $3

and the time spent to do the job is X

Hence the scenario can be modeled as

\(Y= 3x+10\)

the equation is similar to the equation of a straight line

\(Y= mx+c\)

The sine of the angle theta is given by the ratio of the opposite leg to the hypotenuse side of the right triangle formed by the terminal segment.

Reasons:

The given parameters are;

The sine value of the given angle = One-half

Required: To select the true statement of the location of the terminal side.

Solution:

Given that sin(θ) = 0.5, we have;

The sine of an angle is positive in Quadrant I and Quadrant II

The reference angle, is the angle formed between the angle's terminal side and x-axis

By trigonometric ratios, considering the reference angle, we have;

θ = arcsin(0.5) = 30°

Therefore;

The option that gives the true location of the terminal side of an angle, that have a sine value of One-half is; Theta has a reference angle of 30° and is in Quadrant I or II.

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Answer:

a

Step-by-step explanation:

edge

Since the provided equation is inconsistent, it cannot intersect.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Here,

we can see that the second set of equation,

4x+2y=12

20x+10y=30

4/20=2/10≠12/30

1/5=1/5≠2/5

The given equation is inconsistent so it does not intersect.

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Answer:

(D) \(x>-10\)

Step-by-step explanation:

If we have the inequality \(-7x + 4 > -8x - 6\), we can simplify it down and get \(x\) isolated on one side of the equation.

Add 6 to both sides:

\(-7x + 4 + 6 > -8x - 6 + 6\\\\-7x + 10 > -8x\)

Add \(8x\) to both sides of the inequality:

\(-7x + 10 + 8x > -8x+8x\\\\x + 10 > 0\)

Subtract 10 from both sides of the inequality:

\(x + 10 - 10 > 0 - 10\\\\x > -10\)

So (D) \(x>-10\) is the correct simplification.

Hope this helped!

Answer:

Exact Form: q = -3/2

Decimal Form: q = -1.5

Mixed Form: q = -1 1/2

Step-by-step explanation:

Hope this helps!

Answer:

6q=9-18=( -9)

q=(-9)/6

q=(-3)/2

Answer:

Ratio Method means that ICE Futures Europe will determine and disclose the adjustment ratio if known or the equation necessary to calculate the ratio. The adjustment ratio will be rounded, using normal mathematical rounding conventions, to five decimal places.

A) Pairwise ranking is an essential part of the weighted ranking method.

Pairwise ranking is one of the analytic techniques covered so far in class that is an essential part of the weighted ranking method.

Pairwise ranking, also known as pairwise comparison, is a process for comparing different options. Each option is compared to every other option to determine which one is better.

This is done by considering two options at a time and evaluating which one is preferred over the other, and then assigning a value to each option based on how many times it was chosen over the others.

The weighted ranking method, also known as the analytic hierarchy process (AHP), is a decision-making method that involves breaking down a complex problem into smaller, more manageable pieces, prioritizing them, and then making a decision based on the priorities.

Pairwise ranking is an essential part of this process because it helps to determine the relative importance of each option and thus how much weight should be given to each option in the final decision.

Hence, Pairwise Ranking is an essential part of the weighted ranking method.

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