A six-sided die is rolled. What is the probability of rolling a four or an odd number?

Answer:

D. 3x + 3 + 6 = 33

Step-by-step explanation:

3(x +1) + 6 = 3

multiply 3 by everything in the parenthesis

3(x) + 3(1) + 6 = 33

3x + 3 + 6 = 33

I hope this helps!

The second derivative of v with respect to t, denoted as d²v/dt², is equal to 4

The second derivative of v with respect to t, we will differentiate v twice.

v = 2t² + 7t + 11

First, let's find the first derivative of v with respect to t (dv/dt):

dv/dt = d/dt (2t² + 7t + 11)

Using the power rule of differentiation, we differentiate each term separately:

dv/dt = 2(2t) + 7(1) + 0

dv/dt = 4t + 7

Now, let's find the second derivative of v with respect to t (d²v/dt²):

d²v/dt² = d/dt (4t + 7)

Again, using the power rule of differentiation, we differentiate each term separately:

d²v/dt² = 4(1) + 0

d²v/dt² = 4

Therefore, the second derivative of v with respect to t, denoted as d²v/dt², is equal to 4.

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Answer:

Step-by-step explanation:

It is neither prime nor composite since 1 divides everything.

Answer: One is a factor of every whole number since every number is divisible by itself.

Step-by-step explanation:

Answer:

8.8

I don't see that choice in this picture so I hope that those are not all the choices

Step-by-step explanation:

Lets find all the angles first, that highlighted red square means that angle is a right angle, also known as 90 degrees, and the missing angle will be represented with b, also a triangle equals 180 degrees:

48 + 90 + b = 180

138 + b = 180

b = 42

So the missing angle is 42. If u didn't know, how wide an angle is effects the length of the side that it's facing. So because one of the angle is 48 degrees, the length of the side facing it is 10. So we needed to find the missing angle first to determine x, which we already did. So lets find the scale factor, we're dividing 42 with 48:

42/48 = 7/8

Now multiply 7/8 with 10:

10(7/8) = 70/8 = 8.75 = 8.8

Answer:

10 5/6

Step-by-step explanation:

First we have to make 2 1/6 into an improper fraction. This can be rewritten as 13/6. Now, we can multiply 13 by 5 and get 65/6. If we re-convert this into a mixed number, 6 goes into 65 10 times with a remainder of 5, so the final answer is 10 5/6.

Answer:

steps below

Step-by-step explanation:

(a) first green: 8/23 AND 2nd green: 7/22

AND: multiplication.. 8/23 x 7/22 = 28/253 ≈ 0.11 (11%)

(b) 15/23 x 8/22

The response of the system, y(t), when the input is x(t) = u(t+1) - u(t-2), can be determined by convolving the input with the impulse response.

The convolution operation involves integrating the product of the input and impulse response over the appropriate range of t.

To determine the response of the system, we perform the convolution operation. The impulse response is given as h(t) = -(t-2)(t+2). The input is x(t) = u(t+1) - u(t-2). We convolve these two functions by integrating their product over the range of t.

The resulting integral represents the response of the system, y(t), to the given input. The specific integration limits will depend on the properties of the input and impulse response functions.

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Answer:

should be B

Step-by-step explanation:

Hope it helps

Answer:

3

Step-by-step explanation:

we know that

The probability of losing the national treasure from A to Q is 0.02

so

The probability that not losing the national treasure from A to Q is 1-0.02=0.98

The probability that not losing the national treasure from Q to U is 1-0.04=0.96

The probability that not losing the national treasure from U to W is 1-0.05=0.95

The probability that not losing the national treasure from W to Z is 1-0.03=0.97

therefore

The probability that not losing the national treasure from A to Z is equal to

P=0.98*0.96*0.95*0.97

The absolute uncertainty of 6.2 (60.2) 2 4.1 (60.1) 5 is 0.1 and the percent relative uncertainties are 1.6% and 2.4% respectively.

To find the absolute and percent relative uncertainty of the given values: 6.2±0.1 and 4.1±0.1, we use the following formulae: Absolute uncertainty = (maximum value - minimum value) / 2

Absolute uncertainty of 6.2±0.1 = (6.3 - 6.1) / 2 = 0.1

Absolute uncertainty of 4.1±0.1 = (4.2 - 4.0) / 2 = 0.1

Therefore, the absolute uncertainties of 6.2±0.1 and 4.1±0.1 are 0.1.

Percent relative uncertainty = (absolute uncertainty / measured value) × 100%

Percent relative uncertainty of 6.2±0.1 = (0.1 / 6.2) × 100% = 1.6%

Percent relative uncertainty of 4.1±0.1 = (0.1 / 4.1) × 100% = 2.4%

Therefore, the percent relative uncertainties of 6.2±0.1 and 4.1±0.1 are 1.6% and 2.4% respectively.

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Answer:

Its B. You can avoid having a hold placed on when your funds are available

Step-by-step explanation:

I just got it right rn.

Answer:

r = -7

Step-by-step explanation:

r-4+6r = 3+8r

Combine like terms.

7r-4 = 3+8r

Separate the terms with the like terms together.

-4-3 = 8r-7r

Simplify.

r = -7

Answer:

16 cups

Step-by-step explanation:

5x8=40

2x8=16

The probability that Isaiah makes a penalty kick is the likelihood of making the kick

The probability that Isaiah makes both penalty kicks is 35%

From the sample space, there are 7 occurrences where Isaiah makes both penalty kicks, and there are 20 occurrences in all

So, the probability (p) that Isaiah makes both penalty kicks is:

p = 7/20

Evaluate the quotient

p = 0.35

Express as percentage

p = 35%

Hence, the probability that Isaiah makes both penalty kicks is 35%

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The value of P(-3) is -12, Quotient is (-2x² + x - 3) and Remainder is 6.

Remainder Theorem is a method for dividing polynomials according to Euclidean geometry. This theorem states that a polynomial P(x) divided by a factor (x - a) is not really an element of the polynomial.

Given:

P(x) = -2x³-5x²-3.

Using the remainder theorem, the value of P(3) is given by:

P(-3)=  -2x³-5x²-3.

P(-3) =  -2(-3)³-5(-3)²-3

P(-3) = -2(-27) -5(-9) -3

P(-3) = -54 + 45 - 3

P(-3) = -12

As, the divisor of P(x) is (x+3).

so, the division is

                                  (x+3) | -2x³-5x²-3 | -2x² + x - 3

                                             -2x³-6x²

                                          __________

                                                        x² - 3

                                                        x² + 3x

                                                     ________

                                                               -3x - 3

                                                               -3x - 9

                                                              _______

                                                                      6

So, the Quotient is (-2x² + x - 3) and Remainder is 6.

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6 cows are there  on the farm, 38 ostriches, for a total of 44 animals. they have a total of 100 legs.

To solve this problem, we need to use algebra. Let's let "c" represent the number of cows on the farm and "o" represent the number of ostriches on the farm. We know that there are 44 animals in total, so:

c + o = 44

We also know that cows have 4 legs and ostriches have 2 legs, and that there are a total of 100 legs on the farm. So:

4c + 2o = 100

Now we have two equations with two variables, so we can solve for one of the variables and then substitute it into the other equation to solve for the other variable. Let's solve for "o" in the first equation:

o = 44 - c

Now we can substitute this into the second equation:

4c + 2(44-c) = 100

Simplifying:

4c + 88 - 2c = 100

2c = 12

c = 6

So there are 6 cows on the farm. To check, we can substitute this into the first equation:

6 + o = 44

o = 38

So there are 6 cows and 38 ostriches on the farm, for a total of 44 animals. And the total number of legs is:

4(6) + 2(38) = 100

So this answer checks out.

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The given series diverges for all values of the variable since the absolute value of the common ratio (3/2) is greater than 1.

The sum of a finite geometric series is given by the formula:S=ar(r^n -1)/(r -1)where S is the sum, a is the first term, r is the common ratio and n is the number of terms. If we take the limit of this formula as n approaches infinity and as r is between -1 and 1 (inclusive), then we have the sum of an infinite geometric series:S=a/(1-r)The sum of the given infinite series will converge if and only if the absolute value of the common ratio is less than 1. Therefore, to find the values of the variable for which the series converges, we must find the absolute value of the common ratio and ensure that it is less than 1.Sum of series:S = 1 + 3/2 + 9/4 + ...+ [3^(n-1)]/[2^(n-2)] + ...The first term is a = 1.The common ratio is r = 3/2.Therefore, we can write:S = 1 + 3/2 + 9/4 + ...+ [3^(n-1)]/[2^(n-2)] + ...= a/(1-r) = 1/[1 - (3/2)] = 1/(1/2) = 2.For what values of the variable does the series converge to this sum?As the common ratio is 3/2 and the absolute value of this ratio is greater than 1, the given series diverges for all values of the variable.

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The equation 3x₁ + 5x₂ = 30 intersects the x₁-axis at point D (10, 0) and the x₂-axis at point C (0, 6). Option B (0, 8) is not an intercept on the x₂-axis. Option C (6, 10) is not an intercept on the x₁-axis. The correct answer is option D (10, 0) as the x₁-axis intercept.

The equation given is 3x₁ + 5x₂ = 30. To find the axis intercept, we need to determine the points at which the line intersects the x₁ and x₂ axes. To find the x₁-axis intercept, we set x₂ = 0 and solve for x₁ 3x₁ + 5(0) = 30 3x₁ = 30
x₁ = 10

So, the x₁-axis intercept is (10, 0) which corresponds to point D in the given options. To find the x₂-axis intercept, we set x₁ = 0 and solve for x₂: 3(0) + 5x₂ = 30 5x₂ = 30 x₂ = 6 Therefore, the x₂-axis intercept is (0, 6) which corresponds to point C in the given options. To summarize, the equation 3x₁ + 5x₂ = 30 intersects the x₁-axis at point D (10, 0) and the x₂-axis at point C (0, 6).

In the given options, option A (10, 6) is not an intercept on either axis. Option B (0, 8) is not an intercept on the x₂-axis. Option C (6, 10) is not an intercept on the x₁-axis. The correct answer is option D (10, 0) as the x₁-axis intercept.

Remember, the x₁-axis intercept is found by setting x₂ = 0, and the x₂-axis intercept is found by setting x₁ = 0 in the equation.The correct answer is option D

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Answer:

A = 196pi

Step-by-step explanation:

\(A = \pi * r^2\\A=\pi * (14)^2\\A=\pi * (196)\\A = 196\pi\)

The function g that is finally graphed after the transformations are applied is g(x) = -5f(-x) - 10

The function is given as:

f(x)

Next, we apply the transformations

So, we have:

(1) reflect about the x-axis;

This is represented as

(x, y) = (x, -y)

So, we have

g(x) = -f(x)

(2) shift down 2 units;

This is represented as

(x, y) = (x, y - 2)

So, we have

g(x) = -f(x) - 2

(3) stretch vertically by a factor 5;

This is represented as

(x, y) = (x, 5y)

So, we have

g(x) = 5(-f(x) - 2)

Evaluate

g(x) = -5f(x) - 10

(4) reflect about the y-axis.

This is represented as

(x, y) = (-x, y)

So, we have

g(x) = -5f(-x) - 10

Hence, the function g that is finally graphed after the following transformations are applied is g(x) = -5f(-x) - 10

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The transformation of function and their algebraic representation are shown below:

From it we notice that to reflect the function about the y-axis we need to change the sign of the variable, then we have:

Therefore, the expression of g is:

Answer:

1 1/2 cups of peanut butter

1 cup of vegetable shortening

2 1/2 cups grimly packed light brown sugar

6 tablespoons of milk

5 1/2 teaspoon vanilla extract

2 large eggs

3 cups of flour

1 1/2 teaspoon of baking soda

1/2 teaspoon of salt

Step-by-step explanation:

You just double everything by 2

The ingredients needed to make 4 dozen cookies are written below;

3/2 cup of peanut butter

1 cup vegetable shortening

2½ cups girmly packed light brown sugar

6 tablespoons milk

5½ teaspoon vanilla extract

2 large egg

3 cups flour

3/2 teaspoon baking soda

1/2 teaspoon salt

Recipe for 2 dozen cookies:

3/4 cup of peanut butter

1/2 cup vegetable shortening

1 1/4 cups girmly packed light brown sugar

3 tablespoons milk

2 3/4 teaspoon vanilla extract

1 large egg

1 1/2 cups flour

3/4 teaspoon baking soda

1/4 teaspoon salt

Recipe for 4 dozes of cookies: multiply the recipe for 2 dozen by 2

3/4 cup of peanut butter × 2

= 6/4 = 3/2

1/2 cup vegetable shortening × 2

= 2/2 = 1

1 1/4 cups girmly packed light brown sugar × 2

= 5/4 × 2

= 10/4 = 5/2 = 2½

3 tablespoons milk × 2

= 6

2 3/4 teaspoon vanilla extract × 2

= 11/4 × 2 = 22/4

= 11/2 = 5½

1 large egg × 2

= 2

1 1/2 cups flour × 2

= 3/2 × 2

= 6/2 = 3

3/4 teaspoon baking soda × 2

= 6/4 = 3/2

1/4 teaspoon salt × 2

= 2/4

= 1/2

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(a) By plugging in different values for x1, we can plot the indifference curves passing through the given points (2, 2), (1, 2), and (4, 2).

(b) The shape of the indifference curves shows convexity.

(c) The property used to determine this is the non-satiation property of preferences.

(d) The Walrasian demand may not always be single-valued.

(e) Receiving the voucher makes the consumer better-off .

(f) The cash payment allows the consumer to maximize utility by making trade-offs

For 4x1 + x2 = x1 + 2x2, rearranging the equation gives x2 = 3x1, representing the linear part of the indifference curves.

For x1 + 2x2 = 4x1 + x2, rearranging the equation gives x2 = 3x1, representing the kink in the indifference curves.

By substituting different values for x1, we can plot the indifference curves. They will be upward sloping straight lines with a kink at x2 = 3x1.

(b) Properties of the preferences deduced from the shape of indifference curves and utility function:

Diminishing Marginal Rate of Substitution (MRS): Indifference curves are convex, indicating diminishing MRS. The consumer is willing to give up less of one good as they consume more of it, holding the other good constant.

Non-Satiation: Indifference curves slope upwards, showing that the consumer prefers more of both goods. They always prefer bundles with higher quantities.

Convex Preferences: The kink in the indifference curves indicates convexity, implying risk aversion. The consumer is willing to trade goods at different rates depending on the initial allocation.

(c) UMP does not have a solution when Pk = 0 and X -> R2+. This violates the assumption of finite resources and prices required for utility maximization. The property used is non-satiation, as a consumer will always choose an infinite quantity of goods when they are available at zero price.

(d) Walrasian demand depends on relative prices:

If p1 = p2 > 4, the maximizing bundle lies on the linear portion of indifference curves, where x2 = 3x1.

If 4 < p1 = p2 < 1/2, the maximizing bundle lies on the linear portion of indifference curves but at lower x1 and x2.

If p1 = p2 < 1/2, the maximizing bundle lies at the kink point where x1 = x2.

Walrasian demand may not be single-valued due to the shape of indifference curves and the kink point, allowing for multiple optimal solutions based on relative prices.

(e) Given p1 = p2 = 1 and w = $60, the initial budget set is x1 + x2 = 60. With a $10 voucher for good 1, the new budget set becomes x1 + x2 = 70. Since p1 = 1, the consumer spends the voucher on good 1, resulting in x1 = 20 and x2 = 40. Receiving the voucher improves the consumer's welfare by allowing more consumption of good 1 without reducing good 2.

(f) If given the choice between a $10 cash payment and a $10 voucher for good 1 only, the consumer would choose the cash payment. It provides flexibility to allocate the funds based on individual preferences. The answer remains the same even if the assistance were $30, as the cash payment still allows optimal allocation based on preferences. Cash payment offers greater utility-maximizing options compared to the voucher, which restricts choices.

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The answer is 24π/35 or 2.15 cubic units.

Lets solve this

The solid obtained by rotating the region bounded by y = x^2 and y = 1 about y = 6

To find the volume of the solid, we can use the method of cylindrical shells.

Let's split the region into vertical strips of thickness dx .

The radius of each cylindrical shell is given by the distance between y = 6 and the curve y = x^2.

This distance is given by r = 6 - x^2.

The height of each cylindrical shell is given by the difference between the curves y = 1 and y = x^2.

This difference is given by h = 1 - x^2.

Therefore, the volume of each cylindrical shell is given by:

dV = 2πrh

dx= 2π(6 - x^2)(1 - x^2) dx

To find the total volume of the solid, we need to integrate this expression over the range of x from 0 to 1.

Therefore, the volume of the solid is given by:

V = ∫dV = ∫₀¹ 2π(6 - x²)(1 - x²) dx= 2π ∫₀¹ (6x² - 8x⁴ + 2x⁶) dx= 2π [2x³ - (8/5)x⁵ + (2/7)x⁷]₀¹= 2π [2 - (8/5) + (2/7)] = 24π/35

Therefore, the volume of the solid obtained by rotating the region bounded by y = x^2 and y = 1 about y = 6 is 24π/35 cubic units.

Answer: Volume of the solid is 24π/35 or 2.15 cubic units.

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Considering that the square root of 9 is of 81 and of 10 is of 100, we have that the expression that has a value between 9 and 10 is given by:

B.) √89

E.) \(\sqrt[3]{750}\)

F.) \(\sqrt[3]{999}\)

We suppose numbers n and m, with square roots given, respectively, by n² and m².

Then, the square roots of all numbers between n² and m² have values between n and m.

In this problem, the square roots are given by:

Hence, the square root of all values between 82 and 99 are values between 9 and 10, thus option B is correct.

As for the cubic root, we apply the same logic and have that:

Hence options E and F are also correct, as the values between 730 and 999 have cubic roots between 9 and 10.

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Answer:

y=(x+1)^2

Step-by-step explanation:

we have the following

\(x=1;y=4\\\\x=2;y=9\\\\x=3;y=16\\\\x=4;y=25\)

the values of y are squares so we can write

\(x=1;y=2^{2} \\\\x=2;y=3^2\\\\x=3;y=4^2\\\\x=4;y=5^2\)

so as you can see when

\(x=n;y=(n+1)^2\)

so our relation is

\(y=(x+1)^2\)