A deck of cards has all 12 face cards removed. If a card is drawn at random, what are the odds against drawing a card that is a prime number? Note: Prime means the only numbers divisible are 1 and itself.

3 to 2
2 to 5
3 to 5
2 to 3

Answer:

10

Step-by-step explanation:

Answer: its an acute angle so its 90

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

6 ÷ 1/2 = 6 × 2 = 12

We can find several things for the given equation:

1. Magnitude of r(t):

| r(t) | = sqrt[ e^(-t)^2 + (8t^2)^2 + (3tan(t))^2 ]

2. Unit tangent vector T(t):

T(t) = r'(t) / | r'(t) |

where r'(t) = -e^(-t), 16t, 3sec^2(t)

3. Unit normal vector N(t):

N(t) = T'(t) / | T'(t) |

where T'(t) = -e^(-t), 16, 6sec^2(t)tan(t)

4. Unit binormal vector B(t):

B(t) = T(t) x N(t)

Note: "sec" stands for secant and "tan" stands for tangent.

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Answer:

disagree, its easy math, 10/3 =3.3 continued

Answer:

-25

Step-by-step explanation:

hope this helps

Answer:

-25

Step-by-step explanation:

-20-20 is -40.

-40+15 is -25

Hope this helps

Answer:

60°

Step-by-step explanation:

The internal angLe is 60°

Assuming that the walls of the room are 8 feet tall, and that you need one gallon of paint for every 400 square feet of wall space, then you would need 5.125 gallons of paint to paint the walls of the room.

1. Calculate the square footage of the walls:

10.5ft x 7ft x 2 (sides of walls) = 147 sq. ft

2. Divide the total wall square footage by the coverage area of the paint (400 sq. ft.):

147 sq. ft. ÷ 400 sq. ft. = 0.36 gallons

3. Add 10% extra paint for wastage:

0.36 gallons x 1.1 = 0.396 gallons

4. Round up to the nearest gallon:

0.396 gallons = 0.4 gallons

5. Multiply the gallon of paint by 4 (4 walls):

0.4 gallons x 4 = 1.6 gallons

6. Round up to the nearest gallon:

1.6 gallons = 2 gallons

Hence, you would need 5.125 gallons of paint to paint the walls of the room.

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The gradient vector (−10, −18) represents the direction in which the function increases most rapidly at the point (4, 3).

To find the derivative of the function f(x,y)=x2−6xy+y2f(x,y)=x2−6xy+y2 with respect to xx and yy, we can take the partial derivatives ∂f∂x∂x∂f​ and ∂f∂y∂y∂f​.

∂f∂x=2x−6y∂x∂f​=2x−6y

∂f∂y=−6x+2y∂y∂f​=−6x+2y

To determine the direction in which the function increases most rapidly at the point (4, 3), we need to find the gradient vector at that point. The gradient vector is given by the partial derivatives evaluated at the point (4, 3).

∇f(4,3)=(∂f∂x(4,3),∂f∂y(4,3))=(2(4)−6(3),−6(4)+2(3))=(−10,−18)∇f(4,3)=(∂x∂f​(4,3),∂y∂f​(4,3))=(2(4)−6(3),−6(4)+2(3))=(−10,−18)

Therefore, the derivative of the function at the point (4, 3) in the direction of maximum increase is (−10,−18)(−10,−18).

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Since you want to solve this using a calculator you have to options, if you have a advance calculator you can just directly input the nnumber and then it will give you the answer.

While using a standard calculator, we must first convert the radian measurement into degree measurement to find the sin, cos and tan of an angle. Let's start;

First, we must conver 5π/3 into degree measurement to do that we just have to multiply our converting factor 180/π (since 180° is equal to π)

Therefore 5π/3 is just equal to 300°.

Then using a CALCULATOR you can directly input the following;

Answer:

The equation of the line is y=-16x+7

Step-by-step explanation:

I am not totally sure if that is what you meant by the equation of the line but that is my answer. I can change it if you are more specific.

Anyways, you need to find the slope because you already know the y-intercept, 7.

Slope=rise/run between two pretty points( A point that lines up on the grid)

So you must go from the bottom point and count how ever many are separating the two points. It turned out to be 16 and since the line is going down it is a negative. You then plug the numbers into the slope intercept form and that is your answer.

Thus, the 40% of the number is

Answer:

the answer is 25

Step-by-step explanation:

Answer:

         See below :)

Step-by-step explanation:

The solution is, 12 multiple-choice questions are on the test.

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

The right answer for the question that is being asked and shown above is that:

m + f = 15 ---> 3m + 3f = 45

3m + 5f = 51

now, we have.

3m + 3f = 45

3m + 5f = 51

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

-2f = -6

f = 3

so, we get,

m + f = 15

m = 15 - 3

m = 12

So the correct answer is 12.

Hence, The solution is, 12 multiple-choice questions are on the test.

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Complete question:

Students are given 3 minutes for each multiple-choice question and 5 minutes for each free-response question on a test. There are 15 questions on the test, and students are given 51 minutes to take it.

The system of equations shown can be used to find the number of multiple-choice questions, m, and the number of free-response questions, f, on the test.

m + f = 15

3m + 5f = 51

How many multiple-choice questions are on the test?

3

5

12

14

Answer:

9(9b+2)

Step-by-step explanation:

The words 'the sum of mean parenthesis.

And so 9 would be outside the parenthesis, then 9b and 2 would be inside.

Answer:

i belive is D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

\(\dfrac{\sqrt{4}}{\sqrt{25}}= \\\\\\\dfrac{2}{5}= \\\\\\0.4\)

Hope this helps!

Answer:

In the case of a polynomial with more than one variable, the degree is found by looking at each monomial within the polynomial, adding together all the exponents within a monomial, and choosing the largest sum of exponents.

Step-by-step explanation:

That sum is the degree of the polynomial.

The number of plants 3 : 8 have if 3:7 has 10 plants is 11 plants.

Ratio refers to a number representing a comparison between two named things. It is also the relative magnitudes of two quantities usually expressed as a quotient.

So,

3 : 7

= 3 + 7

= 10 plants

Then,

3 : 8

= 3 + 8

= 11 plants

In conclusion, 3 ratio 8 has 11 plants.

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Answer:

129723

Explanation:

\(1800(1+0.13)^{35} \approx 129723\)

The domain of the function is all real numbers.

Option 4 is correct

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x).

A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values. The y values are those. A function can be compared to a piece of equipment on an assembly line. A few screws and nuts are located on one end of the assembly line, while a car is located on the other.

As per the given data:

The function is \(y = 2e^x\)

This function is defined for all the values of x as y never becomes undefined.

Hence, the domain of the given function is (-∞, ∞)

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The integral ∫∫R5(x+y)ex2−y2dA, where R is the rectangle enclosed by the lines x−y=0,x−y=3,x+y=0, and x+y=4, can be evaluated by making the change of variables u = x + y and v = x - y, which gives us the Jacobian of the transformation as |J| = 1/2.

To evaluate the integral using the change of variables, we first need to find the bounds of integration for the new variables u and v. Using the equations of the lines that bound the rectangle R, we can rewrite them in terms of u and v as v = ±(3 - u) and v = ±u. These equations represent the four lines that form the new rectangle R' in the uv-plane.

The integral can now be rewritten as ∫∫R'5(u/2)eu2/2dvdu. The limits of integration for v are from -(3 - u) to (3 - u) for the bottom and top sides of the rectangle R', and from -u to u for the left and right sides. The limits of integration for u are from 0 to 4.

After integrating with respect to v, we get ∫(3-u)^u(-3+u)5(u/2)eu2/2dvdu + ∫u^-u^3 5(u/2)eu2/2dvdu. These integrals can be solved by using the substitution method. Finally, we get the answer as 17(e^16 - e^(4/3))/12.

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The sample space is 4845.Therefore, option C is correct.

Given: The mayor of a city randomly chooses 4 of the 20 wards in her city and surveys all the voters in those selected wards.

Solution: We have a sample size of 4 wards out of a total of 20 wards. The mayor has chosen all the voters in those 4 wards. So, the sampling method used here is stratified sampling as the mayor chose the voters of specific 4 wards.

Sample space = Total number of ways to select 4 wards out of 20 wards= C(20,4) = 20!/(4!(20 - 4)!) = 4845

Hence, the sample space is 4845.Therefore, option C is correct.

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Answer:

Angle a = 114 Angle b = 114 Angle c = 66 Angle d = 66

Step-by-step explanation:

180 - 48 = 132

132/2= 66

180 - 66 = 114

Vertical angles are a pair of non-adjacent angles formed by the intersection of two lines. They are equal in measure. The value of y is 25.

In this case, we are given two vertical angles with measures (2y + 5)° and (4y)°. Since they are equal, we can set up an equation to find the value of y.

(2y + 5)° = (4y)°

To solve for y, we can start by subtracting (2y)° from both sides of the equation:

5° = 2y°

Next, divide both sides of the equation by 2 to isolate y:

2.5° = y°

Therefore, the value of y is 2.5° or 25.

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Let x = 0.757575... . Then

100x = 75.757575...

and so

100x - x = 75.757575... - 0.757575...

99x = 75

x = 75/99 = 25/33

Answer:

I didn’t really encounter any difficulty in determining a polynomial. The issue was that numbers with negative exponents or those which had square roots in them aren’t referred to as polynomials.

The only minor issue was solving problems with numbers which had different exponents in them and needed some form of simplification.

We have the general solution of the beam equation: y = 1/2 x⁴ - (1/6)q₁ x³ + (1/2) x

Given that y'' (1) = 3

So we can find the second derivative of y:  y' = 2x³ - (1/2)q₁x² + (1/2)and y'' = 6x² - q₁x

Therefore, y''(1) = 6 - q₁

From the given information: y''(1) = 3

Putting this value into the above equation:3 = 6 - q₁=> q₁ = 6 - 3=> q₁ = 3

The value of q₁ is 3.

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Answer:

\({ \tt{ \frac{13}{21} \dashrightarrow \: { \boxed{0.619}}}}\)

13/21 as a decimal rounded to 3 decimal places​ is 0.619.

Decimals are numbers that have two components, a whole number component and a fractional component, which are separated by a decimal point.

Given:

A fraction: 13/21.

Simplifying,

13/21,

= 0.619047619

= 0.619 up to 3 decimal places.

Therefore, 0.619 up to 3 decimal places.

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Assuming the weight and magnitude of the person, we can conclude that the weight of the person is 491N.

The magnitude or size of a mathematical object determines whether it is larger or smaller than other objects of the same kind in mathematics.

Formally speaking, the magnitude of an object is the visible outcome of an ordering—of the class of objects to which it belongs.

So, the weight of the person will be:

The scale measures the passenger's normal upward force as it is applied by the floor.

When moving upward, the most force is generated (when starting an upward trip or ending a downward trip).

When there is a downhill acceleration, the normal force is at its lowest.

For any such circumstance:

∑F y​ =ma y  becomes for starting  +591N−mg=+ma and for stopping      +391N−mg=−ma.

Where a stands for the acceleration's magnitude.

To get rid of a and find mg, add these two simultaneous equations:

+591N−mg+391N−mg=0

OR

982N–2mg=0

Fg​ = mg = 982N/2​ = 491N

Therefore, assuming the weight and magnitude of the person, we can conclude that the weight of the person is 491N.

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Complete question:
A person stands on a scale in an elevator. As the elevator starts, the scale has a constant reading of 591N. As the elevator later stops, the scale reading is 391N. Assuming the magnitude of the acceleration is the same during starting and stopping, determine the weight of the person.

Answer:

The nile river is 6690 kilometers long.This is 394 kilometers longer than the Amazon River.How long is the Amazon River?

6690-394=6296 kilometers

Step-by-step explanation:

Answer:

The Amazon river is 6296 kilometers long.