THIS IS THE QUESTION I NEEED ANWSERED ASAP

Step-by-step explanation:

x<-5 is the answer

1.

6x=-30

2.

x=-5

3.

x<-5

Answer:

That fourth ordered pair is (4, -1)

Step-by-step explanation:

A rectangle is a set of permutations of x and y

x can either be -1, or 4

y can either be -1, or 1

the only one missing from this set is (4, -1)

The area enclosed by the curve x = t^2 − 3t, y = √t and the y-axis is 2.08 square units.

We have been given parametric equations x = t^2 − 3t, y = √t

We need to find the area enclosed by the curve x = t^2 − 3t, y = √t and the y-axis.

Consider x = 0

So, t^2 − 3t =  0

t(t - 3) = 0

t = 0   or  t = 3

Let f(t) =  t^2 − 3t and g(t) = t

Differentiate the curve f(t) with respect to t.

f'(t) = 2t - 3

NWe know that the formula to find the area under the curve.

A = ∫[a to b] g(t)f'(t) dt

here, a = 0 and b = 3

so, A = ∫[0 to 3] √t (2t - 3) dt

A = ∫[0 to 3] (2t√t - 3√t) dt

A = ∫[0 to 3] (2t^(3/2) - 3t^(1/2)) dt

A = [4/5 t^(5/2) - 2 t^(3/2)]_[t = 0, t = 3]

A = 4/5 3^(5/2) - 2 3^(3/2) - 0 + 0

A = 4/5 3^(5/2) - 2 3^(3/2)

A = 6√3 /5

A = 2.08

Therefore,  the area of the curve is 2.08 square units.

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Answer:

B

Step-by-step explanation:

Answer:

223.67

Step-by-step explanation:

The correlation coefficient that represents the strongest relationship between two variables is -0.75.

In correlation coefficients, the absolute value indicates the strength of the relationship between variables. The strength of the association increases with the absolute value's proximity to 1.

The maximum absolute value in this instance is -0.75, which denotes a significant negative correlation. The relevance of the reverse correlation value of -0.75 is demonstrated by the noteworthy unfavorable correlation between the two variables.

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Answer:

1. 8

2. 6

3. 7

4.-8

Step-by-step explanation:

/_ b = /_ e

2x + 31 = 7x - 24

5x = 55

x = 11

Answer:

x = 180-(30+50)

=100°

Y = 30+50

=80°

...............................................

The original recipe had 0.9 cups of bananas.

Using only fresh ingredients, strawberry banana smoothie is a simple, nutritious dish. It is creamy, sweet, nutritious, and dairy- or dairy-free can be used to make it. The ideal summertime smoothie. Putting the strawberries, frozen banana, milk, and yoghurt in a blender and mixing until smooth and creamy is all that is required to make it.

Cups of strawberries = 1.75

No. of cups added of banana = 1/2

                                            = 0.5

No. of cups of banana smoothie have = 14.

The original recipe had = 1.4 - 0.5

                                   = 0.9

Hence, the original recipe had 0.9 cups of bananas.

Correct Question :

to make a strawberry banana smoothie, a recipe calls for 1.75 cups of strawberries and some bananas. to make the recipe taste more like banana, 1/2 cup more banana was added to the blender. the smoothie now has 1.4 cups of bananas. how many cups of bananas were in the original recipe?

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The area of the square increasing with  56 cm²/s

Area or A = x²

where x represents one side of the square

The rate at which each side is increasing or dx/dt = 4 cm/s.

The area of the square is 49cm²

A = x²

x = √A

x = √49 = 7

Each side of the square or x = 7cm

We are trying to find the rate the area is changing, so dA/dt

A=x²

Take the derivative of the area equation with respect to time

dA/dt= 2x * dx/dt

Now plug in the values given to solve for dA/dt: x = 7 cm and dx/dt= 4 cm/s

2 (7) * (4) = 56 cm²/s

Therefore, the area of the square increasing with  56 cm²/s

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Part A: To find the expression for Pf, we need to integrate F(t) with respect to t over the given time interval.

Given that F(t) = ať + b, where a = -28 N/s^2 and b = 7.0 N, the integral can be calculated as follows:

Pf = po + ∫(F(t) dt)

Pf = po + ∫(ať + b) dt

Pf = po + ∫(ať dt) + ∫(b dt)

Pf = po + (1/2)at^2 + bt + C

Therefore, the correct expression for Pf is:

Pf = po + (1/2)at^2 + bt + C

Part B: The units of momentum can be determined by analyzing the units of the integral. Since F(t) has units of N (newtons) and t has units of s (seconds), the units of the integral will be N * s. Given that 1 N = 1 kg * m/s^2, the units of momentum are kg * m/s.

Therefore, the correct units of momentum are kg * m/s.

Part C: To evaluate the numerical value of the final momentum (Pf), we need to substitute the given values into the expression obtained in Part A. However, the initial momentum (po) and the time interval (t) are not provided in the question. Without these values, it is not possible to calculate the numerical value of Pf.

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The area of the given polygon is 30 square units.

The area of a triangle can be calculated using the formula 1/2[x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂)] where (x₁, y₁), (x₂, y₂) and (x₃, y₃) are the coordinates of its vertices. This formula is also useful in finding the area of any polygon with given coordinates.

The area of the given polygon can be calculated by the expression of the area of triangle as 1/2[x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂)].

The given polygon can be divided into two ΔABC and  ΔACD,

Then, the area is given as follows,

Area of ΔABC +  Area of ΔACD

= 1/2|[-3(4 - 1) + -3(1 - 1) + 7(1  - 4)]| + 1/2|[-3(1 - 4) + 7(4 - 1) + 7(1 - 1)]|

= 1/2 × 30 + 1/2 × 30

= 30

Hence, the area of the given polygon is 30 square units.

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Answer:

64*x^-6

Step-by-step explanation:

Simplify Using Laws of Exponent (4x^-2)^3

Given data

(4x^-2)^3

Let us open the bracket

=4^3*x^-2*3

=64*x^-6

=64x^-6

Hence the equivalent is

64*x^-6

The new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees are approximately (4.993, 2.048).

To find the new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees, we can use the rotation formula:

x' = x * cos(theta) - y * sin(theta)

y' = x * sin(theta) + y * cos(theta)

Where (x, y) are the original coordinates, (x', y') are the new coordinates after rotation, and theta is the angle of rotation in radians.

Converting the angle of rotation from degrees to radians:

theta = 5 degrees * (pi/180) ≈ 0.08727 radians

Plugging in the values into the rotation formula:

x' = 5 * cos(0.08727) - 2 * sin(0.08727)

y' = 5 * sin(0.08727) + 2 * cos(0.08727)

Evaluating the trigonometric functions and simplifying:

x' ≈ 4.993

y' ≈ 2.048

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Answer:

x =36

Step-by-step explanation:

The three angles form a straight line which means they add to 180

2x+2x+x = 180

Combine like terms

5x = 180

5x/5 = 180/5

x =36

Answer:

X=36

Step-by-step explanation:

A straight line like the one shown in the image has 180° by one side.

Following that, we should assume that:

2x+2x+x=180°

5x=180°

x=36°

I hope I have helped you.

Answer: C

Step-by-step explanation:

yes

The domain of the function is R - {m} and the range of the function is (-∞, ∞).

We are given a function f: R−{n}→R defined by f(x) = (x-n)/(x-m), where m ≠ n.

To find the domain of the function, we need to consider the values of x for which the denominator (x-m) is zero. Since m ≠ n, we have m - n ≠ 0, and therefore the function is defined for all x except x = m.

Therefore, the domain of the function is R - {m}.

To find the range of the function, we can consider the behavior of the function as x approaches infinity and negative infinity. As x approaches infinity, the numerator (x-n) grows without bound, while the denominator (x-m) also grows without bound, but at a slower rate. Therefore, the function approaches positive infinity.

Similarly, as x approaches negative infinity, the numerator (x-n) becomes very negative, while the denominator (x-m) also becomes very negative, but at a slower rate. Therefore, the function approaches negative infinity.

Thus, we can conclude that the range of the function is (-∞, ∞).

In summary, the domain of the function is R - {m} and the range of the function is (-∞, ∞).

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The age of the decaying sample according to the decay formula is 42,009 years.

The rate of radioactive carbon-14 decay depends on the function

\(A(t) = A_{0} e^{-0.0001216t}\)

where \(A_{0}\) is the quantity found in living plants and animals, t is in years, and is the age.

60% of the carbon-14 of a current-day sample was present in a sample taken from a refuse deposit close to the Strait of Magellan. We need to evaluate the age of the sample,

A = 60 % of \(A_{0}\) = (3/5)\(A_{0}\)

Putting this in the decay equation, we have,

\(\frac{3}{5} A_{0} = A_{0} e^{-0.0001216t}\\\\ 0.6= e^{-0.0001216t}\\ \\ln0.6 = -0.00001216t\\\\-0.51082 = -0.00001216t\\\\t = 42,008.68\)

Thus, the age of the sample is 42,009 years.

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Answer:

Step-by-step explanation:

its is 192 ft2

The average rate of change for a function over an interval is the slope

Take for instance, we have the function to be

Function f(x)

And the interval is (a,b)

The average rate of change for the function over the interval is

Rate = (f(b) - f(a))/(b - a)

The above represents the slope

Take for instance, we have:

f(x) = x^2 [2, 4]

We have:

f(2) = 2^2 = 4

f(4) = 4^2 = 16

So, we have:

Rate = (16 - 4)/(4 - 2)

Rate = 6

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The statements that are true are (a) b > 1, (c) The average rate of change from year 0 to year 5 is less than the average rate of change from year 10 to year 15. and (e) a > 0​

Exponential functions are those functions where the independent variable, x is in the exponent.

Given exponential function is,

f(t) = \(a . b^t\)

The exponential function can be written as,

f(t) = \(a(1+r)^t\), where r is the rate of increase or decrease.

So, b = 1+ r

It is given that the population is increasing, so rate is positive.

So b = 1 + r, is greater than 1.

Average rate of change of a function is the ratio change in function values to the change in t values.

Change in t is same as we are measuring over 5 years.

Since the function is increasing at a constant rate, the function values will also be outgoing a large increase as the time increases.

So the average rate of change from year 0 to year 5 is less than the average rate of change from year 10 to year 15.

a is the initial population of the deer when t = 0. This must be greater than 0.

Hence the options a, c and e are correct statements.

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Answer:

Volume of figure = 289 m³

Step-by-step explanation:

Given figure is in the half cylindrical shape.

So calculate the volume of the whole cylinder first then half the volume.

Since, formula to calculate the volume of a cylinder is,

V = πr²h

Here, r = radius of the cylinder

h = height of the cylinder

Therefore, volume of a cylinder with 'r' = \(\frac{7}{2}\) m and h = 15 m will be,

V = π(3.5)²(15)

V = 577.268 m³

Half of the volume = \(\frac{577.268}{2}\)

                               = 288.634 m³

                                ≈ 289 m³

Therefore, volume of the figure shown in the picture = 289 m³

Answer:

ok

Step-by-step explanation:

Answer:

(D)

Step-by-step explanation:

It is D (even though I can't see it) because A, B, and C are not the graphs of radical functions.

Hope this helps :)

The outward flux of the field F across the cube is equal to 3a⁵ / 2.

Given that field F=6xyi+8yzj+6xzk and the surface of the cube is cut from the first octant by the planes x = a, y = a, z = a. We need to find the outward flux of the given field across the surface of the cube.

To find the outward flux of the field F,

we have to use the Gauss Divergence theorem, which states that,

The outward flux of a vector field F through a closed surface S is equal to the volume integral of the divergence of the vector field over the volume V enclosed by that surface,

mathematically we can write it as,∫∫F⋅dS = ∫∫∫ V (∇⋅F) dVWhere F is the vector field, S is the closed surface, V is the volume enclosed by that surface, ∇ is the divergence operator, and ⋅ is the dot product of two vectors.

Let's solve the given problem; here, the cube is cut from the first octant by the planes x = a, y = a, z = a.

Therefore, the planes which cut the first octant is given as shown below:

Thus, a cube is formed from these three planes, as shown below

:Now, the volume enclosed by this cube is a^3,

thus we can rewrite the above formula as,∫∫F⋅dS = ∫∫∫ V (∇⋅F) dV = ∫∫∫ V (6x + 8y + 6z) dV

Now, we have to solve the above volume integral using the given limits.

Limits are 0 to a for x, 0 to a for y, and 0 to a for z.

∫∫F⋅dS = ∫∫∫ V (6x + 8y + 6z) dV

           = ∫0a ∫0a ∫0a (6x + 8y + 6z) dz dy dx

           = ∫0a ∫0a [(3a²y + 3a²)] dy

                 = 3a⁵ / 2

The outward flux of the field F across the cube is equal to 3a⁵ / 2.

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Answer:

4m, 6m, 7m, 5m

Step-by-step explanation:

To find perimeter you just add the side lengths togeather.