ANSWER THIS ASAP !!!!

In the equation 12x+33=93, the value of x is 5.

The given equation is 12x+33=93.

Twelve times of x plus thirty three equal to ninety three.

x is the variable in the equation.

We need to solve for x:

Subtract 33 from both sides of the equation:

12x=93-33

12x=60

Divide both sides of the equation by 12:

x=60/12

x=5

Hence, the value of x in the equation is 5.

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a) P(X+Y = 12) = p6r6

b) True

Using the convolution formula, where X and Y are the outcomes of rolling the two dice, we can find the probability distribution of their sum for k=2, 7, and 12.

P(X+Y = k) = Σ P(X=i)P(Y=k-i)

For k = 2, we have:

P(X+Y = 2) = P(X=1)P(Y=1) = p1r1

For k = 7, we have:

P(X+Y = 7) = P(X=1)P(Y=6) + P(X=2)P(Y=5) + P(X=3)P(Y=4) + P(X=4)P(Y=3) + P(X=5)P(Y=2) + P(X=6)P(Y=1)

= p1r6 + p2r5 + p3r4 + p4r3 + p5r2 + p6r1

For k = 12, we have:

P(X+Y = 12) = P(X=6)P(Y=6) = p6r6

To show that P(S = 7) > P(S = 2)r6/r1 + P(S = 12)r1/r6, we can use the formulae we derived in part (a).

Substituting k=7, we have:

P(S = 7) = p1r6 + p2r5 + p3r4 + p4r3 + p5r2 + p6r1

Substituting k=2 and k=12, we have:

P(S = 2) = p1r1

P(S = 12) = p6r6

Substituting these into the inequality, we get:

p1r6 + p2r5 + p3r4 + p4r3 + p5r2 + p6r1 > p1r1(r6/r1) + p6r6(r1/r6)

p1r6 + p6r6 > p1r6 + p6r6

which is true. Therefore, P(S = 7) > P(S = 2)r6/r1 + P(S = 12)r1/r6.

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Answer:

Option "B" is the correct answer to the following question.

Step-by-step explanation:

The horizontal asymptote y = 11.95 reflects a cost each person reaching $11.95 because as number of individuals rises.

Horizontal asymptotic y = $11.95

Cost per person approaches = $11.95 per person increase

Answer:

B) The horizontal asymptote y = 11.95 represents that the cost per person approaches $11.95 as the number of people increases.

Step-by-step explanation:

Edge 2020

The vertical asymptotes is the value of x for which the function does not exist. The function does not exist at the point where x -5 =0
x = 5 is therefore an asymptotes

The y-intercept is the coordinate point where x = 0. For the log function;

f(x) = log(x - 5)

If y = 0

0 = log(x-5)

x - 5 = 10^0
x - 5 = 1

x = 6

Hence the x-intercept is at (6, 0)

The vertical asymptotes is the value of x for which the function does not exist. The function does not exist at the point where x -5 =0
x = 5 is therefore an asymptotes

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Answer:

look at the screenshot

Step-by-step explanation:

The formula holds for n as well. By the principle of strong induction, the formula holds for all non-negative integers n os 15‾√[(1+5‾√2)n - (1-5‾√2)n].

To prove this using strong induction, we will first establish the base cases:

For n = 0: f0 = 0, and the formula gives 15‾√[(1+5‾√2)0−(1−5‾√2)0] = 0. So the formula holds for n = 0.

For n = 1: f1 = 1, and the formula gives 15‾√[(1+5‾√2)1−(1−5‾√2)1] = 1. So the formula holds for n = 1.

Now, assume that the formula holds for all values of k where k is a non-negative integer less than n. We want to show that the formula also holds for n.

Using the definition of the Fibonacci sequence, we have:

fn = fn-1 + fn-2

By the strong induction hypothesis, we can express fn-1 and fn-2 in terms of the formula:

fn-1 = 15‾√[(1+5‾√2)n-1 - (1-5‾√2)n-1]

fn-2 = 15‾√[(1+5‾√2)n-2 - (1-5‾√2)n-2]

Substituting these into the definition of fn, we get:

fn = 15‾√[(1+5‾√2)n-1 - (1-5‾√2)n-1] + 15‾√[(1+5‾√2)n-2 - (1-5‾√2)n-2]

We can simplify this expression using some algebraic manipulations:

fn = 15‾√[(1+5‾√2)n-1 + (1+5‾√2)n-2 - (1-5‾√2)n-1 - (1-5‾√2)n-2]

fn = 15‾√[(1+5‾√2)n-2(1+5‾√2) + (1-5‾√2)n-2(1-5‾√2)]

fn = 15‾√[(1+5‾√2)n-2 - (1-5‾√2)n-2(5‾√2)]

fn = 15‾√[(1+5‾√2)n - (1-5‾√2)n]

So the formula holds for n as well. By the principle of strong induction, the formula holds for all non-negative integers n.

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F(3) is equal to 9, based on the given table and the corresponding values of x and f(x). Option D.

To find the value of F(3) based on the given table, we look at the corresponding x-value of 3 and find its corresponding f(x) value.

From the table, we see that when x = 3, f(x) = 9. Therefore, F(3) = 9.

The table shows the values of x and their corresponding f(x) values. We can see that when x increases by 1, f(x) also increases by 3. This indicates that the function has a constant rate of change, where the change in f(x) is always 3 units for every 1 unit change in x.

Given that F(3) represents the value of the function when x = 3, we look at the x-values in the table and find the corresponding f(x) value. In this case, when x = 3, f(x) = 9.

Therefore, the value of F(3) is 9. Option D is correct.

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Answer:

34.8 x 10 to the power of 0.

Step-by-step explanation:

hope this helps

Answer:

90 tons

Step-by-step explanation:

given that the ration of weight from earth to mercury is 5:2, we can make an equation:

x (weight of an item on Mercury) = 0.4(weight of an item on Earth)

x=0.4(225 tons)

x=90 tons

Answer:

3+3 and 2(3)

Step-by-step explanation:

3+3 and 2(3)

Answer:

yes

Step-by-step explanation:

x+3 = 6 if X is 3

2x = 6

2(3) = 6

so the statement is correct

Answer:

108

Step-by-step explanation:

Mike's current age, be M

Then Brandon's is: M - 27

Also, M = 4(M - 27)

M = 4M - 108

M - 4M = - 108

- 3M = - 108

Answer:

life

Step-by-step explanation:

Answer:

B im very sorry if im wrong <3

Step-by-step explanation:

Answer:48

Step-by-step explanation:Required equation is y - 36 = (24 - 36)/(2 - 1) (x - 1)

y - 36 = -12(x - 1)

y - 36 = -12x + 12

12x + y = 12 + 36

12x + y = 48

Answer:

127°

Step-by-step explanation:

180=53+x

127=x

A straight line is 180°

I hope this helps!

pls ❤ and mark brainliest pls!

The value of the numerical expression (7 x 3481) will be 24,367.

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.

The numbers are given below.

7 and 3481

Then the product of the numbers 7 and 3481 will be given by putting a cross sign between them. Then we have

⇒ 7 x 3481

⇒ 24,367

The value of the numerical expression (7 x 3481) will be 24,367.

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The simplest form of √12x⁸/√3x² is 2x³.

What is simplification?

Solving a math problem is the same thing as simplifying an expression. You basically strive to write an expression as simply as you can when you simplify it. In conclusion, there shouldn't be any more multiplying, dividing, adding, or removing to do.

Here, we have

Given: √12x⁸/√3x²

We have to simplify this function.

We combine both terms in one and we get

= √12x⁸/3x²

= √4x⁶

= 2x³

Hence, the simplest form of √12x⁸/√3x² is 2x³.

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Answer:

a.) 11 mph

b.) 13.5

c.) m/2

d.) 7.5 +m/2

Step-by-step explanation:

You just divide each one by two because it's two hours and it's asking for miles per HOUR which means every one hour so 1 hour would be the number given over 2. For the last one the initial answer would be 15+m so that /2 = 7.5+m/2. Hope this helps! I was actually looking for the same thing and then I realized it was pretty easy lol.

The Steve speed on a day that he travels is 7.5 +m/2

We have given that, Steve bikes for 2 hours every day.

We have to calculate his speed on a day that he travels

What is the unit of the speed

miles/hour

Here we have to  just divide each one by two because it's two hours and it's

asking for miles per hour which means every one hour so 1 hour would be the number given over 2.

For the last one the initial answer would be

\(\frac{15+m}{2} =7.5+\frac{m}{2}\)

Therefore we get,

The Steve speed on a day that he travels is 7.5 +m/2.

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Answer:

Step-by-step explanation:

d

The highest exponent of x in F(x) is 37, which means the algebraic degree of the function is 37.

The function F(x) is a cubic function.

Here, we have,

given function is:

F(x) = α⁴⁹ * x³⁷ + α⁵² * x²⁸ + α⁸¹ * x¹³ + α²⁶ * x⁹ + α³¹ * x

To determine the algebraic degree of the given (7,7)-function F(x), we need to find the highest exponent of x in the function.

F(x) = α⁴⁹ * x³⁷ + α⁵² * x²⁸ + α⁸¹ * x¹³ + α²⁶ * x⁹ + α³¹ * x

The algebraic degree of a polynomial function corresponds to the highest exponent of the variable in the function.

Linear functions have an algebraic degree of 1, affine functions have an algebraic degree of 1 or 0, quadratic functions have an algebraic degree of 2, and cubic functions have an algebraic degree of 3.

so, we get,

The highest exponent of x in F(x) is 37, which means the algebraic degree of the function is 37.

Therefore, the function F(x) is a cubic function.

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Answer:

(3x-2) (x-5)

Step-by-step explanation:

30 = -15 X -2

-17 = -15 + -12

3x2 - 15x - 2x +10

factorise

3x(x-5) - 2(x-5)

(3x-2) (x-5)

At the 5% level of significance, the machine is not properly calibrated.

To determine if the machine is properly calibrated, we need to conduct a hypothesis test using the given data. Let's define our null and alternative hypotheses as follows:

Null hypothesis (H0): The machine is properly calibrated and the true mean thickness of the widgets is 0.05 inches.

Alternative hypothesis (Ha): The machine is not properly calibrated and the true mean thickness of the widgets is not equal to 0.05 inches.

We will use a two-tailed t-test to test the hypothesis since we have a sample size of 10, and the population standard deviation is unknown. The test statistic for this hypothesis test is calculated as:

t = (x - μ) / (s / sqrt(n))

where x is the sample mean thickness, μ is the hypothesized population mean thickness (0.05 inches), s is the sample standard deviation, and n is the sample size (10).

Plugging in the given values, we get:

t = (0.053 - 0.05) / (0.003 / sqrt(10)) = 3.055

The degrees of freedom for this test is 9 (n - 1). Using a t-table or calculator, we can find the critical t-value for a two-tailed test with 9 degrees of freedom and a significance level of 0.05 to be approximately 2.262.

Since our calculated t-value (3.055) is greater than the critical t-value (2.262), we can reject the null hypothesis at the 5% level of significance. This means that there is sufficient evidence to suggest that the machine is not properly calibrated and that the true mean thickness of the widgets is likely not equal to 0.05 inches.

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Answer:

Step-by-step explanation:

diameter/2 = radius

12/2 = radius

radius = 6

The outer edge means you are measuring the circumference of the pizza.

Circumference = 2(pi)(radius)

Circumference = 2(pi)(6)

You are only finding 1/8 of the circumference

Therefore you are multiplying the circumference by 1/8

Length of 1 slice = (1/8)((2)(pi)(6)) = (12/8)(pi) = (3/2)(pi) = (3(pi)) / (2) or 4.71 inches

The length of the outer edge of any one piece of this circle will be 4.71 inches.

Let r is the radius of the sector and θ be the angle subtends by the sector at the center. Then the arc length of the sector of the circle will be

Arc = (θ/360°) 2πr

A circle is drawn to represent a pizza with a 12-inch diameter. The circle is cut into eight congruent pieces. Then the central angle of each sector will be given as,

θ = 360° / 8

θ = 45°

And the radius is given as,

r = 12/2

r = 6 inches

Then the length of the outer edge of any one piece of this circle will be

Arc = (θ/360°) 2πr

Arc = (45/360°) 2π x 6

Arc = 1/4 x 3.14 x 6

Arc = 4.71 inches

The length of the outer edge of any one piece of this circle will be 4.71 inches.

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The slope of the line that divides the region bounded by the parabola \(y=5x-3x^2\)and the x-axis into two regions with equal area is 5.

To find the slope of the line that divides the region into two equal areas, we need to determine the point of intersection between the parabola and the x-axis. Since the line passes through the origin, its equation will be y = mx, where m represents the slope.

Setting the equation of the parabola equal to zero, we find the x-values where the parabola intersects the x-axis. By solving the equation\(5x - 3x^2 = 0\), we get x = 0 and x = 5/3.

To divide the region into two equal areas, the line must pass through the midpoint between these x-values, which is x = 5/6. Plugging this value into the equation of the line, we have y = (5/6)m.

Since the areas on both sides of the line need to be equal, we can set up an equation using definite integrals. By integrating the equation of the parabola from 0 to 5/6 and setting it equal to the integral of the line from 0 to 5/6, we can solve for m. After performing the integration, we find that m = 5.

Therefore, the slope of the line that divides the region into two equal areas is 5.

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Answer:

-1

Step-by-step explanation:

what you would start by doing is subtract x from 5 which gives it -6x. then, you would add the 2 to the 4 which cancels out the negative 2. so it should look like 6=-6x, then you would divide 6 by -6 which gives your answer as -1

When the radius of the snowball is 4 and shrinks at a rate of 2 inches per hour then the rate of change of the surface area s is equal to 64π in²/hr

As the radius r is shrinking at the rate of two inches per hour, it can be represented as;

dr/dt = -2 in / hr

Here, the negative sign represents the shrinking of the snowball with time t.

The surface area of a sphere can be represented by the formula;

S = 4πr²

Now we differentiate S with respect to t by keeping radius (r) as a variable as follows;

dS/dt = d/dt (4πr²)

dS/dt = 4π (d/dt) (r²)

dS/dt = 4π × 2r (dr/dt)

Putting the value of r = 4 and calculated value of dr/dt = -2 in the equation as follows;

dS/dt = 4π × 2(4)(-2)

dS/dt = -64π

Therefore, the rate of change of surface area s is calculated to be 64π in²/hr.

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The expression that represents the correct translation of the phrase is 8x = x + 2

An equation is an expression that shows the relationship between two or more numbers and variables.

Independent variables represent function inputs that do not depend on other values, while dependent variables represent function outputs that depends on other values.

Let x represent the unknown number, the product of 8 and a number is equal to the number increased by 2, hence:

8 * x = x + 2

8x = x + 2

The expression that represents the correct translation of the phrase is 8x = x + 2

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Answer:

tan(A+B) = 84

Step-by-step explanation:

We can use the identity: tan(A+B) = (tanA + tanB) / (1 - tanA*tanB)

Given, tanA = 4/3

So, opposite side of angle A = 4, adjacent side of angle A = 3

Using the Pythagorean theorem, we get the hypotenuse of angle A = 5

Also, sin B = 8/17

So, opposite side of angle B = 8, hypotenuse of angle B = 17

Using the Pythagorean theorem, we get the adjacent side of angle B = 15

Now, we can find the value of tanB as opposite/adjacent = 8/15

Plugging in the values in the identity for tan(A+B), we get:

tan(A+B) = (4/3 + 8/15) / (1 - (4/3)*(8/15))

= (20/15 + 8/15) / (1 - 32/45)

= 28/15 / (13/45)

= (28/15) * (45/13)

= 84

Therefore, tan(A+B) = 84.

Hope this helps!

Answer:

No.  In order to be equivalent, the 5/12 should be 6/12.

Step-by-step explanation:

Answer:

No, it's not the same ratio

Step-by-step explanation:

No, it's not the same ratio

5 : 12 = 0.41

1 : 2 = 0.5