Which values are in the solution set of the inequality -23x+13≥-1?

Answer:

when two vertical angles intersect, the opposites always have the measure. 2 is opposite to 3 and 1 is opposite to 4. they should have the same measures.

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

By looking at the graph, you can see that the graph intersects the x-axis at (-6,0), that is the zero of g.

Answer:

-9

Step-by-step explanation:

The graph's y-intercept is -9, which is the zero of g.

Answer:

The surface area is 80.9.

Step-by-step explanation:

The optimal consumption bundle (x1*, x2*) can be determined by solving the consumer's utility maximization problem subject to the budget constraint. Given the utility function u(x1, x2) = ax1 + bx2, where a > 0 and b > 0, and the budget constraint p1x1 + x2 = w, we need to find the values of x1* and x2* that maximize the utility function while satisfying the budget constraint.

To analyze the problem graphically, we can plot the budget constraint on a two-dimensional graph with x1 on the horizontal axis and x2 on the vertical axis. The slope of the budget constraint is -p1, indicating the rate at which the consumer can trade x1 for x2. The budget constraint represents all the possible combinations of x1 and x2 that the consumer can afford given their wealth (w) and the price of good 1 (p1).

By drawing indifference curves for different levels of utility, which are downward-sloping straight lines in this case due to the linear utility function, we can identify the optimal consumption bundle. In this particular case, since the utility function represents perfect substitutes, the indifference curves are parallel straight lines with a slope of -a/b. The consumer maximizes utility by choosing the consumption bundle that lies on the highest possible indifference curve and is tangent to the budget constraint.

Now, let's consider three different cases:

Case 1: When w/p1 < a/b, the consumer's wealth is not sufficient to reach the highest indifference curve. In this case, the consumer's optimal consumption bundle will be at the corner point of the budget constraint where x1 = w/p1 and x2 = 0.

Case 2: When w/p1 > a/b, the consumer's wealth is more than enough to reach the highest indifference curve. In this case, the consumer's optimal consumption bundle will be at the point where the budget constraint is tangent to the highest indifference curve, which will be at x1 > 0 and x2 > 0.

Case 3: When w/p1 = a/b, the consumer's wealth is exactly enough to reach the highest indifference curve. In this case, the consumer can choose any consumption bundle along the budget constraint.

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Answer:

Emily has 5 apples!!!

Step-by-step explanation:

Ok,

Let the apples Emily has be 'x'

Now,

× + 25= 30

Transpose 25 to RHS

× = 30-25

× = 5

Therefore, Emily has 5 apples :D

Hope it helps!!!

Answer:

(5,6)

Step-by-step explanation:

10-5=5

Answer:

FV= $4,948.16

Step-by-step explanation:

Giving the following information:

Number of periods (n)= 10

Interest rate (i)= 2.15% compound interest annually

Present value (PV)= 4,000

To calculate the future value, we need to use the following formula:

FV= PV*(1+i)^n

FV= 4,000*(1.0215^10)

FV= $4,948.16

Answer:

4 newtons.

Step-by-step explanation:

400/100=4

Answer:

-1/2

Step-by-step explanation:

To find the slope

m = (y2-y1)/(x2-x1)

m= (-4 -1)/(0- - 10)

   = (-4-1)/(0+10)

   = -5/10

= -1/2

Answer:

D

Step-by-step explanation:

hope this helps

Answer:

B) 0.050

Step-by-step explanation:

When you continuously add 0's to the end, it will come out to the same value.  If you were to add a 0 to 0.05, it will become 0.050, which is B.

Hope this helps!

Step-by-step explanation:

Here is the solution...hope it helps:)

The probability that a 120 square foot roll will contain more than one flaw is approximately 0.0001, or 0.01%.

The number of flaws per square foot, denoted by X, as a Poisson distribution with parameter lambda = 1/40 (since there is an average of one flaw per 40 square feet).

To find the probability that a 120 square foot roll will contain more than one flaw, we need to calculate the probability of X > 1, where X is Poisson distributed with parameter lambda = 1/40.

Using the Poisson distribution formula, we have:

\(P(X > 1) = 1 - P(X < = 1)\)

= \(1 - [P(X = 0) + P(X = 1)]\)

We can calculate P(X = 0) and P(X = 1) using the Poisson distribution formula:

P(X = k) = (e^(-lambda) * lambda^k) / k!

where k is the number of flaws and lambda = 1/40.

\(P(X = 0) = (e^(-1/40) * (1/40)^0) / 0! = e^(-1/40) = 0.9756\)

\(P(X = 1) = (e^(-1/40) * (1/40)^1) / 1! = (1/40) * e^(-1/40) = 0.0244\)

\(P(X > 1) = 1 - [P(X = 0) + P(X = 1)]\)

\(= 1 - (0.9756 + 0.0244)\)

\(= 0.0001\)

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Answer:

The ordered pair is (1, 2) ⇒ A

Step-by-step explanation:

In the function f(x) = y

That means any ordered pair (x, y) satisfy the function f(x) = y, lies on the graph of the function

∵ f(x) = 2x

→ That means y = 2x

∵ x = 1

→ Substitute the value of x in the function above

∴ f(1) = 2(1)

∴ f(1) = 2

→ That means at x = 1, y = 2

∴ The ordered pair is (1, 2)

Answer:

POSTULATE

Step-by-step explanation:

A postulate is a statement that is assumed true without proof. A theorem is a true statement that can be proven

In geometry, the theorem is considered valid or correct with which its assertion is practically not refuted by almost anyone, whether it is really true or not.

This, in practice, implies that all students of the subject share the same criteria on the theory. Thus, the postulates, in short, have the following characteristics:

 They are presumed true by most of the scholars in the field.

Its contradiction goes against the very essence of the subject.

Postulate 6: If two planes intersect, then their intersection is a line.

See Attachment for Details ^^

The image attached  represents the statement given in the question (If two distinct planes intersect, then their intersection is a line)

Therefore,

The Geometry term that represents the statement above is POSTULATE

By using  Fundamental Theorem of Calculus, we find the derivative of the function g(x) = In { sqrt( t + t^3)dt } limit from x to 0 is  ln(sqrt(x + x^3)).  The derivative of the function g(x) = { In (1+t^2) dt} where limit are from x to 1 is  ln(1 + x^2).

The Fundamental Theorem of Calculus, which states that if a function is defined as the definite integral of another function, then its derivative is equal to the integrand evaluated at the upper limit of integration.

So, applying this theorem, we have:

g'(x) = d/dx [∫x_0 ln(sqrt(t + t^3)) dt]

= ln(sqrt(x + x^3)) * d/dx (x) - ln(sqrt(0 + 0^3)) * d/dx (0)

= ln(sqrt(x + x^3))

Therefore, g'(x) = ln(sqrt(x + x^3)).

Using the Fundamental Theorem of Calculus, we have:

g'(x) = d/dx [∫1_x ln(1 + t^2) dt]

= ln(1 + x^2) * d/dx (x) - ln(1 + 1^2) * d/dx (1)

= ln(1 + x^2)

Therefore, g'(x) = ln(1 + x^2).

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____The given question is incomplete, the complete question is given below:

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 7 g(x) = In { sqrt( t + t^3)dt } limit from x to 0.  8. g(x) = { In (1+t^2) dt} where limit are from x to 1.

Answer:

x = 289 degrees

Step-by-step explanation:

The sum of angle measures in a hexagon is 720 degrees. One can apply this information here, by forming an equation. Add up all of the angle measures, including parameter (x), simplify and use inverse operations to solve for the numerical value of the parameter (x).

100 + 102 + 108 + 121 + x = 720

Simplify,

431 + x = 720

Inverse operations,

431 + x = 720

-431        -431

x = 289

Answer: See explanation

Step-by-step explanation:

x=-(2-2*the square root of 6)/5, about 0.58

or

x=-(2+2*the square root of 6)/5, about -1.38

The values of the x from equation  \(5x^2+4x-4=0\) are  x = 0.5798 and -1.38.

Given that:

Equation:  \(5x^2+4x-4=0\)

To find the values of x that satisfy the equation \(5x^2+4x-4=0\), use the quadratic formula:

\(x = \dfrac{ -b \± \sqrt{b^2 - 4ac}}{ 2a}\)

Compare the equation with \(ax^2 + bx + c = 0\).

Here, a = 5, b = 4, and c = -4.

Plugging in the values to get,

\(x = \dfrac{-4 \± \sqrt{4^2 - 4 \times 5 \times (-4)}}{2 \times 5} \\x = \dfrac{-4 \± \sqrt{16 +80}}{10} \\x = \dfrac{-4 \± \sqrt{96}}{10}\\x = \dfrac{-4 \± {4\sqrt6}}{10}\)

So the solutions for x are calculates as:

Taking positive sign,

\(x = \dfrac{-4 + {4\sqrt6}}{10}\\x = \dfrac{-4 + {9.798}}{10}\\\)

x = 5.798/10

x = 0.5798

Taking negative sign,

\(x = \dfrac{-4 - {4\sqrt6}}{10}\\x = \dfrac{-4 - {9.798}}{10}\\\)

x = -13.798/10

x = -1.38

Hence, the exact solutions for the equation  \(5x^2 + 4x - 4 = 0\)  are x = 0.5798 and -1.38.

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you just muliply 16 by 4 i

Answer:

2 hours

Explanation:

Stock A:

9AM $14.56 +$0.12/hr

10AM $14.68 +1hr

11AM $14.80 +2hrs

12PM $14.92 +3hrs

Stock B:

12 PM (Noon) $15.06 -$0.07/hr

1PM $14.99 +1hr

2PM $14.92 {+2HR}

Answer:

(5 × 4) - 13 = 7

Step-by-step explanation:

Given that,

→ n = 5

Let's solve the problem,

→ x = n × 4

→ x = 5 × 4

→ [ x = 20 ]

Then 13 less than the product will be,

→ x - 13

→ 20 - 13 = 7

Therefore, the solution is 7.

The sinusoidal function that satisfies the given attributes is f(x) = 10 * sin(2π/5 * x - π/5) + 31.

To find a sinusoidal function with the given attributes, we can use the general form of a sinusoidal function:

f(x) = A * sin(Bx + C) + D

where A represents the amplitude, B represents the frequency (related to the period), C represents the phase shift, and D represents the vertical shift.

Amplitude: The given amplitude is 10. So, A = 10.

Period: The given period is 5. The formula for period is P = 2π/B, where P is the period and B is the coefficient of x in the argument of sin. By rearranging the equation, we have B = 2π/P = 2π/5.

Midline: The given midline is y = 31, which represents the vertical shift. So, D = 31.

f(3) = 41: We are given that the function evaluated at x = 3 is 41. Substituting these values into the general form, we have:

41 = 10 * sin(2π/5 * 3 + C) + 31

10 * sin(2π/5 * 3 + C) = 41 - 31

10 * sin(2π/5 * 3 + C) = 10

sin(2π/5 * 3 + C) = 1

To solve for C, we need to find the angle whose sine value is 1. This angle is π/2. So, 2π/5 * 3 + C = π/2.

2π/5 * 3 = π/2 - C

6π/5 = π/2 - C

C = π/2 - 6π/5

Now we have all the values to construct the sinusoidal function:

f(x) = 10 * sin(2π/5 * x + (π/2 - 6π/5)) + 31

Simplifying further:

f(x) = 10 * sin(2π/5 * x - 2π/10) + 31

f(x) = 10 * sin(2π/5 * x - π/5) + 31

Therefore, the sinusoidal function that satisfies the given attributes is f(x) = 10 * sin(2π/5 * x - π/5) + 31.

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Answer:

Use the distributive property to multiply 3 by x−2.

y=(3x−6)(x+1)(x−4)

Use the distributive property to multiply 3x−6 by x+1 and combine like terms.  y=(3x  2  −3x−6)(x−4)

Use the distributive property to multiply 3x  2 −3x−6 by x−4 and combine like terms. y =3x  3 −15x  2  +6x+24

Step-by-step explanation:

I also up a link there of a graph. Please tell me if you can open it. Hope this helps! :P

Answer:

v in (-oo:+oo)

1.13/64 = (11/8)*v // - (11/8)*v

1.13/64-((11/8)*v) = 0

(-11/8)*v+1.13/64 = 0

0.01765625-11/8*v = 0 // - 0.01765625

-11/8*v = -0.01765625 // : -11/8

v = -0.01765625/(-11/8)

v = 0.01284091

v = 0.01284091

Step-by-step explanation:

1 13/64 = 11/8x

Rewrite the left side as an improper fraction:

77/64 = 11/8x

Divide both sides by 11/8

77/11 = 7

64/8 = 8

X = 7/8

Answer:

x=7

Step-by-step explanation:

because ther is 7 days in a week

Answer:

C is the correct answer

Step-by-step explanation:

A P E X

Answer: C. 870 is the correct answer

Step-by-step explanation:

Answer:

30 times .10 then you get 3, the do 30 minus three then your answer is 27. You need to pay $27

your answer is in the picture:)

Answer:

Explanation:

12.8² + 5.3² = 191.93

√191.93

= 13.8538803229

Round the answer

13.9