what is
the inverse
of f(x) = x^3 + x

Answer:

2.60

Step-by-step explanation:

4.70 hotdogs

fries 1.25

water 2.60= 8.55-10=1.45

Answer:

130

Step-by-step explanation:

since bc and bd equal the same thing, plug in every answer option until you get to 360.

(130 x 2) = 260

plus cd = 100.

260 + 100 = 360.

The arc length is twice the inscribed angle.

The sum of the three angles must be 180.

The measure of the arc length BC is 130°

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Triangle BCD is isosceles and BC ≅ BD.

Isosceles triangle C B D has points on the circle.

The measure of arc CD is 100 degrees.

This means,

We know that the arc length is twice the inscribed angle.

2 x Angle B = CD

2 x Angle B = 100

Angle B = 100/2

Angle B = 50

Now,

In an isosceles triangle, the angle opposite to the equal sides must be equal.

The sum of the three angles must be 180.

x + x + 50 = 180

2x = 180 - 150

2x = 130

x = 65

Now,

We know that the arc length is twice the inscribed angle.

So,

The measure of the arc length BC.

= 2 x 65

= 130°

Thus,

The measure of the arc length BC is 130°

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To find the area of a circle: \(\pi r^2\)

To find the circumference of a circle: \(\pi *d\) or \(2\pi r\)

The image attached below has more equations for circles.

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!

Stay Brainy!

-\(Kallmekris\)

Answer:

-52 / 5

Step-by-step explanation:

3 9/10 * -8 / 3 = 39 / 10 * -8 / 3 = -52 / 5

Answer: -52 / 5

Step-by-step explanation: 3 9/10 * -8 / 3 = 39 / 10 * -8 / 3 = -52 / 5

Answer: 20% of 25 is more than 25% of 16 if that is the question

I hope that is the question-

20% of 25 > 25% of 16

Answer:

42,857 hours

Step-by-step explanation:

Saturn is about 1.2 billion miles away from earth. If the space shuttle is traveling 28,000 kmph then it would take about 42,857 hours.

Answer:

See a solution process below:

Step-by-step explanation:

The slope can be found by using the formula:  

\(m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

Where  m is the slope and ( x) and ( ) are the two points on the line.  

Substituting the values from the points in the problem gives:  

\(m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }=\frac{-7-(-3)}{9-2}= \frac{-4}{7}=-\frac{4}{7}\)

Answer:

TL = 8 in.

CX = 3 in.

Step-by-step explanation:

TK is a tangent to circle O at point K. That makes K a right angle.

Triangle TKO is a right angle.

All units of length are inches. I will leave out in. until the end for simplicity.

TO = 10

KO = 6 in.

Using the Pythagorean theorem,

(TK)² + (KO)² = (TO)²

(TK)² + 6² = 10²

TK = √(100 - 36)

TK = 8

We know all side lengths of triangle TKO.

Now look at triangle CXT.

CX is tangent to the circle. That makes <CXT a right angle.

Triangle CXT is a right triangle.

<KTO of triangle TKO and <CTX of triangle CXT are congruent because they are the same angle.

Since the triangles are right triangle, they also have another pair of congruent angles, the two right angles, TKO and CXT. By AA similarity, triangles TKO and TXC are similar triangles.

TO = TX + OX

OX is a radius of circle O. OX = 6.

10 = TX + 6

TX = 4 in.

Now we use a proportion of side lengths of the similar triangles.

Triangle TLO is congruent to triangle TKO since TL = TK (tangents), KO = LO (radii) and both are right triangles.

TL = TK = 8 in.

TX/TK = CX/KO = TC/TO

4/8 = CX/6

1/2 = CX/6

CX = 3 in.

The perimeter of the triangle is 170 inches.

To solve for the perimeter, we first need to find the length of the perpendicular height. We can do this using the sine function:

sin(35°) = 46/x

x = 46/sin(35°) = 65 inches

Now that we know the length of the perpendicular height, we can find the length of the base of the triangle using the cosine function:

cos(35°) = 65/x

x = 65/cos(35°) = 75 inches

The perimeter of the triangle is the sum of the lengths of the three sides, so the perimeter is:

P = 65 + 75 + 30

= 170 inches

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There are 52 cards in the deck and so the probability of guessing the card right is 1/52.

Probability is simply the likelihood of something occurring. When we are uncertain about the result of an event, we might discuss the probabilities of several outcomes—how likely they are. Statistics is the study of occurrences guided by probability. The probability is a measure of the possibility that an event will occur. It assesses the event's certainty. P(E) = Number of Favourable Outcomes/Number of Total Outcomes is the probability formula.

Here,

We can find this probability by seeing that

=1/4×1/13

=1/52

Because there are 52 cards in the deck, the probability of correctly predicting the card is 1/52.

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Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

If we change x by -0.7, we can expect the value of f(x) to decrease by approximately 2.1 units.

Assuming you meant to say "let f be a differentiable function where f(9) = 4 and f'(9) = 3. If we change x by -0.7 and we change y by 0.3, then we can expect the value of f(x) to change by approximately what amount?"

Using the linear approximation formula, we have:

\(Δf(x) ≈ f'(9) Δx\)

where Δx = -0.7 and we want to find Δf(x) when Δy = 0.3.

We can rearrange the formula to solve for Δf(x):

\(Δf(x) ≈ f'(9) Δx\)

Δf(x) ≈ 3(-0.7)

Δf(x) ≈ -2.1

This means that if we change x by -0.7, we can expect the value of f(x) to decrease by approximately 2.1 units. However, this is only an approximation based on the linear behavior of the function near x = 9, so it may not be exactly accurate for large changes in x.

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Answer:

The first graph.

Step-by-step explanation:

The equation is x is greater than 2. Therefore, the graph needs to shade anything greater than 2, but not 2.

Answer:

the length is 22

Step-by-step explanation:

264 divided by 12  is 22

to check your work 12 x 22 = 264 that is how you know it is correct

Answer:

22in

Step-by-step explanation:

Area is length x width so to find the lenght of the rectangle we need to divide 264/12

264/12=22

Answer:

C

Step-by-step explanation:

Answer:

A is the correct answer.

The value of the expression 1 \($\frac{5}{7}\)  x  3 \($\frac{1}{4}\) will be 9 \($\frac{3}{4}\)

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.

Given is the following expression -

1 \($\frac{5}{7}\) and 3 \($\frac{1}{4}\)

On multiplying the expression, we get -

1 \($\frac{5}{7}\)  x  3 \($\frac{1}{4}\)

(12/7)  x  (13/4)

39/4

9 \($\frac{3}{4}\)

The value of the expression 1 \($\frac{5}{7}\)  x  3 \($\frac{1}{4}\) will be 9 \($\frac{3}{4}\)

Therefore, the value of the expression 1 \($\frac{5}{7}\)  x  3 \($\frac{1}{4}\) will be 9 \($\frac{3}{4}\)

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Answer:

250 in out to radical change

Answer:

1/6

Explanation:

This is because if you were to take up the entire wall with these same proportions, you would need six colors.

Answer:2.a

Step-by-step explanation:

The area of the polygon is 37.81 units and the perimeter is 33.02 units.

The given points are in order, we have:

a(-3, 2)

f(2, -3)

b(0, 5)

c(3, 2)

d(5, 4)

e(7, 2)

g(0, -1)

Using the distance formula, we can find the lengths of the sides of the polygon. Then, we can add up the lengths of all the sides to find the perimeter of the polygon.

As per the shown figure,

Length of side fa = 7.07 units

Length of side ef = 7.07 units

Length of side de = 7.6 units

Length of side cd = 2.8 units

Length of side bc = 4.24 units

Length of side ab = 4.24 units

The perimeter of the polygon is:

= fa + ef + de + cd + bc + ab

= 7.07 + 7.07 + 7.6 + 2.8 + 4.24 + 4.24

= 33.02 units

The area of the polygon is:

= area of rectangle (1) + area of sqare (2)

= 7.07 × 4.24 + 2.8 × 2.8

= 37.81 units

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Answer:

a=5 days, 3 hours

b= 3 people

The JASON group and the NIH Advisory Committee to the Director have issued recommendations that aim to enhance the management of undue foreign influence in research integrity.

The recommendation put forth by both the JASON group and the NIH Advisory Committee to the Director revolves around strengthening measures to address undue foreign influence in research integrity. This includes enhancing the ability of universities and federal agencies to effectively manage and mitigate the risks associated with foreign influence on research activities.

The specific details of the recommendation may vary, but the overarching goal is to establish robust mechanisms for identifying and addressing potential threats to research integrity posed by undue foreign influence. This may involve implementing stricter oversight, transparency, and disclosure requirements, as well as promoting education interest among researchers.

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Answer:

p= 0.44 x 260

Step-by-step explanation:

Answer:

8!

Step-by-step explanation:

Basically, you would use the phythagorean theorem to find the answer plugging in the values that you already have to find the missing side (a^2 + b^2 = c^2)

since you have the length of the hypothenuse (c in the equation) and one of the legs of the triangle (a or b, it doesn't matter, but for the sake of the equation we'll plug in 6 for a), we can insert these numbers to find b!

Plugging it into the equation:

A^2 + b^2 = c^2

(6)^2 + b^2 = (10)^2

36 + b^2 = 100

subtract both sides to get b^2 = 64

then square root both sides b = 8

D) The example (2x^2 + 5x) + (4x^2 - 4x) = (4x^2 - 4x) + (2x^2 + 5x) illustrates the commutative property of addition for polynomials.

The commutative property of addition for polynomials states that the order in which polynomials are added does not affect the result of the sum. In other words, it states that if we have two polynomials A and B, the result of adding A and B (A+B) will be the same as adding B and A (B+A).

For example, consider the polynomials (2x^2 + 5x) and (4x^2 - 4x). If we add these two polynomials in the order given, (2x^2 + 5x) + (4x^2 - 4x) = 6x^2 + x. Now, if we add these two polynomials in the reverse order, (4x^2 - 4x) + (2x^2 + 5x) = 6x^2 + x. We can see that the order of the polynomials does not affect the result of the sum, and thus it holds the commutative property of addition.

Option (2x^2 + 5x) + (4x^2 - 4x) = (4x^2 - 4x) + (2x^2 + 5x) illustrates the commutative property of addition for polynomials, because it shows that the order of the polynomials does not matter and it gives the same answer.

It is important to note that the other options does not illustrate the commutative property.

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To find the point on the plane nearest to the origin, we need to minimize the distance between the origin and any point on the plane. We can use the formula for the distance between a point and a plane. The point on the plane nearest to the origin is (2, 12, 2).

distance = |ax + by + cz + d| / sqrt(a^2 + b^2 + c^2)

where (x, y, z) is any point on the plane, and a, b, c, and d are the coefficients of the plane equation.

In our case, the plane equation is 4x - y + 4z = 40, so a = 4, b = -1, c = 4, and d = -40. The distance between the origin and any point on the plane is:

distance = |4x - y + 4z - 40| / sqrt(4^2 + (-1)^2 + 4^2)

We want to minimize this distance, so we need to find the point on the plane that makes the distance as small as possible. To do this, we can use Lagrange multipliers:

Let f(x, y, z) = (x^2 + y^2 + z^2) be the function we want to minimize subject to the constraint 4x - y + 4z = 40. We can write this as:

grad(f) = λ grad(g)

where grad(f) = <2x, 2y, 2z> and grad(g) = <4, -1, 4>. Solving for x, y, z, and λ, we get:

x = 2, y = 12, z = 2, λ = 8 / sqrt(33)

Therefore, the point on the plane nearest to the origin is (2, 12, 2).

To find the point on the plane 4x - y + 4z = 40 nearest to the origin, we can use the formula for the distance between a point and a plane: D = |Ax + By + Cz + D| / √(A² + B² + C²).

In this case, A = 4, B = -1, C = 4, and D = -40. Let's plug in the origin (0, 0, 0) for (x, y, z):

D = |(4*0) - (1*0) + (4*0) - 40| / √(4² + (-1)² + 4²)
D = |-40| / √(16 + 1 + 16)
D = 40 / √33

Now, we use the normal vector (4, -1, 4) and multiply it by the distance D to find the nearest point (x, y, z):

x = (4 * 40) / √33
y = (-1 * 40) / √33
z = (4 * 40) / √33

The nearest point (x, y, z) on the plane 4x - y + 4z = 40 to the origin is approximately (4.94, -1.24, 4.94).

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m_BAC + m2 ACB 85

m.BAC MACB 95

95°

m..BACA BC 85

m. BACIMBC 95

B

Using a geometric sequence, it is found that the approximate value of the car at the end of the 10th year will be given by:

A. $6,974.

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

\(a_n = a_1q^{n-1}\)

In which \(a_1\) is the first term.

In this problem, the first term and the common ratio are given, respectively, by:

\(a_1 = 18000, q = \frac{16200}{18000} = 0.9\)

Hence the equation is:

\(a_n = 18000(0.9)^{n-1}\)

At the end of the 10th year, the value will be of:

\(a_{10} = 18000(0.9)^{10-1} = 6974\)

Hence option A is correct.

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