Which expressions yield a product GREATER THAN 4 5 ? Check all that apply. A) 1 4 × 4 5 B) 3 2 × 4 5 C) 2 2 × 4 5 D) 3 5 × 4 5 E) 5 4 × 4 5 Hint

The radius of the planet is half the diameter, which is r = 1240/2 = 620 miles.

To find the volume of a sphere, we need to use the formula V = (4/3)πr^3, where r is the radius of the sphere. Since we are given the diameter of the planet, which is 1240 miles, we need to first find the radius by dividing the diameter by 2:

radius = diameter / 2 = 1240 / 2 = 620 miles

Now that we know the radius, we can plug it into the formula for the volume of a sphere:

V = (4/3)πr^3 = (4/3)π(620)^3 ≈ 672,508,160 cubic miles

Rounding to the nearest thousand, we get the volume of the planet to be approximately 672,508,000 cubic miles.

Therefore, the volume of the planet is approximately 672,508,000 cubic miles.

Learn more about diameter here

https://brainly.com/question/28162977

#SPJ11

The volume of the resulting figure is approximately 4550.2 cubic units.

To find the volume of the figure, we shall first find the area of the cross-section formed by rotating triangle ABC about line CA. This cross-section is a frustum of a cone.

To find the height of the frustum, we can use the Pythagoras theory in triangle ABC:

AC² = AB² + BC²

AC² = 25² + 17²

AC² = 1146

AC = √1146

The height of the frustum is half the height of the cone formed by rotating triangle ABC about line CA. And use Pythagoras theory in triangle ACA' to find the height of the cone:

ACA'² = AA'² - CA²

ACA'² = (2AC)² - CA²

ACA'² = 4AC² - CA²

ACA'² = 4(1146) - 28²

ACA'² = 4496

ACA' = √4496

The height of the frustum will be:

h = ACA' / 2

h = √4496 / 2

To find the radii of the top and bottom of the frustum, we can use similar triangles. The triangles formed by the heights of the cone and frustum are similar to triangle ABC. Therefore:

r / AB = ACA' / AC

r = AB × ACA' / (2 × AC)

r = 25 × √4496 / (2 × √1146)

r = √4496 × 25 / (2 × √1146)

The volume of the frustum can be found with the formula:

V = (1/3)πh(R² + Rr + r²)

where:

R = the radius of the bottom of the frustum,

r = the radius of the top of the frustum,

h = the height of the frustum.

Plugging in the values we found:

V = (1/3)π(√4496/2)( (√4496/2)² + (√4496/2)×(√4496×25/(2×√1146)) + (√4496×25/(2×√1146))² )

Simplifying the expression:

V = 4550.2

Therefore, the volume of the resulting figure is ≈ 4550.2³ units.

Learn more about volume at brainly.com/question/27710307

#SPJ1

Victor has 2/3 pound of sugar left after baking cakes and cookies for the bake sale.

Victor uses 6/7 of the sugar to bake cakes, which means he has 1 - 6/7 = 1/7 of the sugar left. The amount of sugar left can be calculated as:

1/7 * 7 pounds = 1 pound

Now Victor uses 1/3 of the remaining 1 pound of sugar to bake cookies. The amount of sugar he uses to bake cookies is:

1/3 * 1 pound = 1/3 pound

Subtracting the amount of sugar used to bake cookies from the amount of sugar left, we get:

1 pound - 1/3 pound = 2/3 pound

Therefore, Victor has 2/3 pound of sugar left after baking cakes and cookies for the bake sale.

Learn more about baking here

https://brainly.com/question/28645723

#SPJ11

After 2 seconds, the ball attains its maximum height of 8 feet.

We know that the ball's height can be modeled by a quadratic function, and that the function can be factored into the form f(t) = at(t - 4), where a is a constant.

Using the factored form of the quadratic function, we can see that the function has intercepts at t = 0 and t = 4.

At t = 0, the height of the ball is 0, since it starts at ground level.

At t = 4, the height of the ball is 0, since it reaches its maximum height and then falls back to the ground.

The factored form of the function tells us that the graph of the function is a parabola that opens upward, since the coefficient of the t² term is positive.

The maximum height of the ball occurs at the vertex of the parabola, which is located at the midpoint of the x-intercepts.

Therefore, the maximum height of the ball occurs when t = 2 seconds.

To find the maximum height, we can plug t = 2 into the quadratic function and evaluate:

f(2) = 2² + 2(2) = 8

Therefore, after 2 seconds, the ball attains its maximum height of 8 feet.

To learn more on Quadratic equation click:

https://brainly.com/question/17177510

#SPJ1

Answer:since the guy above me answered horribly

Step-by-step explanation:

Answer:

you multiply both quantities by 2 to get the final ratio i.e you multiply 2 by 2 to get 4 and 10 by 2 to get 20

Answer:

Rhombuses have 4 congruent sides like Squares

So divide the 72 inches by the number of sides

72/4

= 18

So each side should equal 18

9x = 18

x = 2

6y = 18

y = 3

3c = 18

c = 6

2 + 3 + 6

The value of x + y + c is 11

Step-by-step explanation:

Answer: The formula for the area of a trapezoid is A = (b1+b2)h/2, where b1 and b2 are the lengths of the bases, and h is the height. We can rearrange this formula to solve for the sum of the bases:

2A/h = b1 + b2

Substituting the given values, we get:

2(24)/6 = b1 + b2

48/6 = b1 + b2

8 = b1 + b2

Therefore, the sum of the lengths of the bases is 8 feet.

The system Ax = b has 2 free variables.

Given that A is a 5x7 matrix, and the transformation x → Ax is onto, we can determine the number of free variables in the system Ax = b.
Identify the dimensions of the matrix A:

A is a 5x7 matrix, which means it has 5 rows and 7 columns.
Determine the transformation type:

Since the transformation x → Ax is onto, it implies that every element in the codomain [tex](R^5)[/tex] has a corresponding element in the domain[tex](R^7)[/tex].

In other words, the system Ax = b has a solution for every b in [tex]R^5.[/tex]
Determine the rank of matrix A:

Since the transformation is onto, the rank of A must be equal to the number of rows in the codomain, which is 5.
Calculate the number of free variables:

The number of free variables is the difference between the total number of columns in A and the rank of A.

In this case, it's 7 columns minus 5 (the rank of A).
Number of free variables = 7 - 5 = 2.

For similar question on matrix.

https://brainly.com/question/1279486

#SPJ11

There are 56,046 different three-course meals that can be ordered at Pizza House.To calculate the total number of different three-course meal combinations, we need to use the counting principle.

The counting principle states that if there are A ways to do one thing and B ways to do another, then there are A x B ways to do both.
In this case, we have:
- 22 ways to choose a salad
- 77 ways to choose a pizza
- 33 ways to choose a dessert

Applying the counting principle, we can calculate the total number of different three-course meals by multiplying the number of choices for each course:
22 (salads) x 77 (pizzas) x 33 (desserts) = 56,046 different three-course meals.
So, there are 56,046 different three-course meals.

To know more about  counting principle click here

brainly.com/question/10275154

#SPJ11

Rounding to the nearest tenth, the volume of the hydrogen gas in the bubble is approximately 268.1 cubic centimeters.

The volume of a sphere can be calculated using the formula:

V = (4/3) * π * r^3,

where V is the volume and r is the radius of the sphere.

In this case, the diameter of the bubble is given as 8 centimeters, which means the radius (r) is half of the diameter, so r = 8/2 = 4 centimeters.

Plugging the value of the radius into the volume formula:

V = (4/3) * π * (4^3)

= (4/3) * 3.14159 * (64)

≈ 268.08256 cubic centimeters.

Know  more about volume here:

https://brainly.com/question/1578538

#SPJ11

The total volume of the given figure is: 209 cm³

The volume of a cuboid is:

V = L * W * H

Where:

L is length

W is width

H is height

Thus:

Total volume of composite figure = (3 * 6 * 4) + (5 * 9 * 3)

= 72 + 135

= 209 cm³

Read more about Volume of Composite figure at: https://brainly.com/question/12693294

#SPJ1

Answer:

I'm sorry, the question is not clear. Can you please provide more context or rephrase the question?

Step-by-step explanation:

The probability that the number of job applicants late for interviews is between 5 and 9 (inclusive) needs further information to be determined accurately.

To calculate the probability, we need to know the total number of job applicants and the distribution of lateness among them. Without this data, it is not possible to determine the exact probability of having a specific range of late applicants between 5 and 9, inclusive.

To accurately assess the probability, we would need information on the total number of applicants, the historical frequency of lateness, or the specific distribution of lateness across the range of interest. With this data, statistical methods such as probability distributions or empirical data analysis could be utilized to calculate the desired probability.

Learn more about Probability

brainly.com/question/795909

#SPJ11

The required observations are:

Least Value = 8; Q1 = 10; Q2 = 12; Q3 = 15; Greatest Value = 19.

Given the observations are: 15, 19, 8, 12, 11, 19, 10, 13, 8, 12.

Arranging the values in ascending order we get:

8, 8, 10, 11, 12, 12, 13, 15, 19, 19

So the least value is = 8

Greatest value is = 19

Number of observations = 10

Median is,

Q2 = Average of (10/2)th and (10/2 + 1)th observations

Q2 = Average of 5th and 6th observations

Q2 = (12 + 12)/2

Q2 = 12

Now first half of the observations:

8, 8, 10, 11, 12

Number of observations in first half = 5

First Quartile is,  

Q1 = The ((5 + 1)/2) th observation = 3rd observation = 10

Now second half of the observations:

12, 13, 15, 19, 19

Number of observations in second half = 5

Third Quartile is,

Q3 = The ((5 + 1)/2) th observation = 3rd observation = 15

Hence, Least Value = 8; Q1 = 10; Q2 = 12; Q3 = 15; Greatest Value = 19.

To know more about Median here

https://brainly.com/question/26177250

#SPJ1

The length of the diagonal of the square is approximately 12.7 centimeters, rounded to the nearest tenth.

To find the length of the diagonal of a square when the area is given, we can use the formula for the area of a square:

Area = [tex]side^2[/tex]

where side is the length of one side of the square. Rearranging the formula to solve for side, we have:

side = √Area

Substituting the given area of 81 square centimeters, we get:

side = √81 = 9 cm

The diagonal of a square can be found using the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (longest side) is equal to the sum of the squares of the other two sides. Since a square has four right angles, its diagonal forms a right triangle with two sides of equal length. Therefore, we have:

[tex]diagonal^2 = side^2 + side^2diagonal^2 = 2(side^2)[/tex]

Substituting the value of side that we found earlier, we get:

[tex]diagonal^2 = 2(9^2) = 162[/tex]

Taking the square root of both sides, we get:

diagonal = √162 ≈ 12.7 cm

Therefore, the length of the diagonal of the square is approximately 12.7 centimeters, rounded to the nearest tenth.

To know more about diagonal  refer to-

https://brainly.com/question/12274248

#SPJ11

The given quadratic equation in vertex form is y = 4(x - 3)^2 - 45.

To write the given quadratic equation 3x^2 - 24x - 44 = 1 - x^2 in vertex form, we need to complete the square as follows:

3x^2 - 24x - 44 = 1 - x^2

4x^2 - 24x - 45 = 0 (subtracting 1 from both sides and multiplying by 4)

x^2 - 6x - 45/4 = 0 (dividing the entire equation by 4)

x^2 - 6x + 9 - 45/4 = (x - 3)^2 - 45/4 (completing the square by adding and subtracting (6/2)^2 = 9)

x^2 - 6x + 9 - 45/4 = (x - 3)^2 - 45/4

Multiplying both sides by 4, we get:

4(x^2 - 6x + 9) - 45 = 4(x - 3)^2 - 45

Simplifying the right-hand side, we get:

4(x^2 - 6x + 9) - 45 = 4(x - 3)^2 - 45

Vertex form: y = 4(x - 3)^2 - 45

Therefore, the given quadratic equation in vertex form is y = 4(x - 3)^2 - 45.

Learn more about quadratic equation here

https://brainly.com/question/1214333

#SPJ11

Answer:

Trust & Safety (T&S) became a vital component of technology companies as online platforms became more popular in the 21st century. Initially, T&S was concerned with advertising, fraud, and account verification. However, as platforms expanded, T&S also grew. As a result, T&S departments now concentrate on user safety and content moderation. These workers monitor activities, scanning for inappropriate behavior, harassment, scams, and security concerns in real-time. Trust & Safety personnel act as intermediaries between users, developers, and public policymakers, ensuring that solutions safeguard users while keeping functionality at the platform's core.

The smaller unit of measurement provides more detail and therefore a more exact measurement of the object’s length.

Using a smaller unit of measurement helps find a more accurate measurement of an object’s length because it provides more precise details. For example, if you measure an object that is 10 inches long, using a ruler that measures in 1/4 inch increments would give you a more accurate measurement than a ruler that measures in 1 inch increments. The smaller unit of measurement provides more detail and therefore a more exact measurement of the object’s length.

Therefore, the smaller unit of measurement provides more detail and therefore a more exact measurement of the object’s length.

Learn more about the Metric System here:

https://brainly.com/question/25966695.

#SPJ1

The subset from the corresponding vectors form would be {v1, v2, v3}.

RREF stands for Reduced Row Echelon Form, a procedure used to solve a system of linear equations.

In this problem, the matrix is being RREF'd with the equation av1 + bv2 + cv3 = 0, meaning that the matrix is a representation of the coefficients of a system of linear equations.

The process of RREFing the matrix will involve reducing the matrix to its simplest form, which will reduce the coefficients of the matrix to either 0 or 1.

This will enable us to identify the columns that contain the leading ones, which are the columns that are not zeroed out in the reduction process. The corresponding vectors form a subset, meaning that the vectors associated with the columns that contain the leading ones form a subset of the solution set of the system of linear equations.

Therefore, the subset from the corresponding vectors form would be {v1, v2, v3}.

Learn more about the vectors here:

https://brainly.com/question/29740341.

#SPJ4

The proportion that can be used to find the distance traveled, n, is proportional to time is given as follows:

A. 48.5/0.5 = n/2.5.

A proportional relationship is a type of relationship between two quantities in which they maintain a constant ratio to each other.

The equation that defines the proportional relationship is given as follows:

y = kx.

In which k is the constant of proportionality, representing the increase in the output variable y when the constant variable x is increased by one.

After a time of 0.5 hours, the distance is of 48.5 km, hence the constant is given as follows:

k = 48.5/0.5.

The constant is equals for each input-output pair, hence the distance n for a time of 2.5 hours is obtained as follows:

48.5/0.5 = n/2.5.

More can be learned about proportional relationships at https://brainly.com/question/7723640

#SPJ1

The quadratic expression 10x² + 17x + 3 when divided by (5x + 1) gives 2x + 3.

Given quadratic expression is,

10x² + 17x + 3

We have to divide the polynomial with 5x + 1.

First let us factorize the given quadratic expression.

10x² + 17x + 3

Discriminant = 17² - (4 × 10 × 3) = 169

x = (-17 ± √169) / 20

x = (-17 ± 13) / 20

x = -4/20 and x = -30/20

x = -1/5 and x = -3/2

This can be factored as,

(x + 1/5) (x + 3/2)

(5x + 1) (2x + 3)

Hence the quotient is 2x + 3.

Learn more about Quadratic Expressions here :

https://brainly.com/question/22364785

#SPJ4

According to the information, we can infer that around 94 cars passed the point at 9:15 a.m.

We can use linear regression to find the equation of the line of best fit for this data. The equation of a line is y = mx + b, where m is the slope of the line and b is the y-intercept.

Using the formula for linear regression, we get:

where,

Plugging in the values from the table, we get:

So the equation of the line of best fit is:

To approximate the number of cars that passed the point at 9:15 a.m. (which is 105 minutes past 6:30 a.m.), we can plug in x = 105 into the equation and solve for y:

Learn more about equations in: https://brainly.com/question/29657983
#SPJ1

The reduced gradient is analogous to the residual for linear models.

In linear regression, the residual represents the difference between the observed values and the predicted values of the dependent variable. Similarly, in optimization, the reduced gradient represents the difference between the current solution and the optimal solution. It is a measure of how far the current solution is from the optimal solution in the direction of the search. By minimizing the reduced gradient, we can move closer to the optimal solution.

The reduced gradient is a widely used optimization technique in non-linear programming that allows for efficient computation of the descent direction at each iteration while accounting for constraints. It involves calculating a partial derivative of the objective function with respect to the variables that are not restricted by the constraints, and then projecting the resulting gradient onto the space defined by the constraints. The resulting vector is called the reduced gradient, and it points in the direction of the steepest descent that is feasible.

for such more question on residual

https://brainly.com/question/22985922

#SPJ11

Answer:

   [tex]-2x^2-7x-15[/tex]

Step-by-step explanation:

To subtract 5x+5 from -2x^2-2x-10, you will need to combine like terms based on their coefficient.

Since you're not going to change the x^2 value, the -2x^2 remains the same.

Subtracting the x^1 values, you get -2x-5x = -7x.

Subtracting the x^0 values, you get -10-5 = -15.

[tex]-2x^2-7x-15[/tex]

The polar curve r = -2 sin θ can be graphed by first plotting the graph of r as a function of θ in Cartesian coordinates. To do this, we can set r = y and θ = x, and then plot the resulting equation y = -2 sin x.

This graph will have the shape of a sinusoidal wave with peaks at y = 2 and troughs at y = -2.
To sketch the same polar curve in Cartesian form, we can use the conversion equations x = r cos θ and y = r sin θ. Substituting in the given polar equation, we get x = -2 sin θ cos θ and y = -2 sin² θ. Simplifying these equations, we get x = -sin 2θ and y = -2/3 (1-cos² θ). This graph will have the shape of a four-petal rose.
The graphs from Part (a) and Part (b) are different because they represent different equations. Part (a) is the graph of y = -2 sin x, which is a sinusoidal wave. Part (b) is the graph of a four-petal rose. However, both graphs share some similarities in terms of their shape and symmetry. They are both symmetrical about the origin and have a repeating pattern.
In conclusion, we can sketch a polar curve by first graphing r as a function of θ in Cartesian coordinates and then converting it to Cartesian form. The resulting graphs may look different, but they often share similar patterns and symmetries.

To learn more about polar curve, refer:-

https://brainly.com/question/28976035

#SPJ11

Since c must be between 1 and 3, we can eliminate the negative solution and calculate that c = 2.089. Therefore, the answer is 0. The correct option is (A).The Mean Value Theorem states that if a function is continuous on a closed interval and differentiable on the open interval, then there exists at least one point in the open interval where the slope of the tangent line.

Applying this theorem to the function f(x) = 2x³ - 4x² + 1 on the interval [1,3], we know that there exists a value c in (1,3) such that the slope of the tangent line at c is equal to the slope of the secant line between f(1) and f(3).
To find the value of c, we can start by calculating the slope of the secant line:
slope = (f(3) - f(1)) / (3 - 1)
= (2(3)³ - 4(3)² + 1 - 2(1)³ + 4(1)²⁻¹) / 2
= 26
Next, we need to find the derivative of f(x):

f'(x) = 6x² - 8x
Now we can set the slope of the tangent line equal to the slope of the secant line and solve for c:
6c² - 8c = 26
3c² - 4c - 13 = 0
Using the quadratic formula, we get:
c = (4 ± sqrt(4² - 4(3)(-13))) / (2(3))
c = (4 ± sqrt(160)) / 6
c = 2.089 or c = -1.422
Therefore, the answer is 0.

To know more about mean value theorem click here

brainly.com/question/30403137

#SPJ11

Step-by-step explanation:

speed=220m/hr

time=2hr 30 min = 2hr + 30/60hr =2+0.5=2.5hr

speed=distance/time

distance=speed*time

distance=220*2.5 =550m

The distribution of BMI in this dataset has a sample size of 442, a mean of 26.4, a standard deviation of 4.41, and a standard error of 0.21.

These statistics help us understand the central tendency and variability of the BMI values in the sample.

To describe the distribution of BMI (Body Mass Index) in this dataset, we can use the provided statistical terms:

sample size (n), mean, standard deviation, and standard error.

Sample size (n): n = 442, which means there are 442 individuals in the dataset.
Mean: The mean BMI is 26.4.

This is the average BMI value for the entire sample.
Standard deviation:

The standard deviation is 4.41, which tells us how spread out the BMI values are around the mean.

A higher standard deviation indicates greater variability in the data.
Standard Error:

The standard error is 0.21, which is an estimate of how much the sample mean (26.4) would vary if you were to take multiple random samples of the same size (442) from the same population.

A smaller standard error indicates that the sample mean is a more precise estimate of the population mean.

For similar question on standard deviation.

https://brainly.com/question/30403900

#SPJ11

The given statement "The General Law of Multiplication is used to calculate the probability of the union of two events" is false because the General Law of Multiplication, also known as the Product Rule, is used to calculate the probability of the intersection of two events, not the union.

To calculate the probability of the union of two events, we use the Addition Rule, which states that the probability of the union of two events is equal to the sum of their individual probabilities minus the probability of their intersection, if they are not mutually exclusive. If the events are mutually exclusive, then we can simply add their probabilities.

Therefore, it is important to understand the difference between the union and intersection of events and which rules to use for each type of probability calculation.

To know more about probability refer to-

https://brainly.com/question/30034780

#SPJ11