Use the limit definition of the derivative to find the instantaneous rate of change of

SOLUTION

The Data set given is

4.9,2.7,6.2,5,4.7,5.4,6.5,3.8,12

The minimum of the data set is the lowest data in the distribution

The first quartile is given by

where N=frequency of the data=9

Then the first quartile becomes

The median is the middle number after arrangement

Answer: False

Step-by-step explanation:

You need a common denominator (the bottom number)

Answer: B

Step-by-step explanation:

[tex]\tan \theta=10 \implies \sin \theta=\frac{10}{\sqrt{101}}, \cos \theta=\frac{1}{\sqrt{101}}[/tex]

[tex]\sin 2\theta=2\sin \theta \cos \theta=2 \left(\frac{10}{\sqrt{101}} \right)\left(\frac{1}{\sqrt{101}} \right)=\frac{20}{101}[/tex]

[tex]\cos 2\theta=2\cos^2 \theta-1=2 \left(\frac{1}{\sqrt{101}} \right)^2 -1=-\frac{99}{101}[/tex]

[tex]\therefore \sin 2\theta+\cos 2\theta=\frac{20}[101}-\frac{99}{101}=-\frac{79}{101}[/tex]

to do a perfect-square trinomial the third term must be the square of the half of the second term

the sencond term is 7,so

so the expresion is

and the factor

An example

the third term is

so the percet-square is

Answer:

Step-by-step explanation:

Ascending is least to greatest.

We can convert the fractions into decimals.

SO,

7/10 can be 0.7 and 9/10 can be 0.9

In least to greatest order, it would be:

0.4, 0.7, 0.9 ANSWER

n+1< -3

n< -3 -1

n<-4

-4n< - 8

n>-8/-4

n > 2

so, the solution is,

n < - 4 or n > 2

The number of miles you hike each day is 7.4 miles.

The unitary approach, to put it simply, is used to determine the value of a single unit from a specified multiple. How to determine the worth of a single pen, for instance, if 40 pens cost Rs. 400. The unitary approach can be utilized. Additionally, after determining the value of a single unit, we can multiply it to determine the value of the other units. Most ratio and proportion concepts are addressed using this methodology. To compute the value of other units using the unitary approach, the value of a unit quantity must first be determined. This can be varied in two different ways.

3 days = 22 miles

1 day = x

x = 7.4 miles

Still 12 miles are left so I will need half a day more approximately.

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The value of the expression 8! is 40320.

It should be noted that an expression is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, 8! will be:

= 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1

= 40320

This illustrates the concept of multiplication.

Therefore, it is 40320.

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Answer:

x and y is 59 degrees

Step-by-step explanation:

You can find the angle next to 121 which is 59 degrees considering linear pair. Then, you can figure out y by doing corresponding angles and so this means that y is also 59 degrees. To find x, we know that x is vertical to y and that they are the same value. So, this means that x is 59 degrees as well. Hope this helps!

Given:

The equation is:

Required:

Find the area enclosed by the region.

Explanation:

The given equation is:

Find the intersecting point of the curve.

The enclosed area is:

The true statement is b.

The equation of the parabola with a vertex at the origin and a directrix at; y = 5 as described in the task content is; x² = -20y.

It follows from the task content that the vertex of the parabola is at the origin while it's directrix is the line; y = 5.

Therefore, it follows that the focus of the parabola is; f = -5, since; (f - k) = (k - 5) where, k = 0.

Ultimately, a = 1/4(f-k).

a = 1/4(-5-0) = -1/20.

Recall, the vertex form equation of a parabola takes the form;

y = a(x - h)² + k; where (h, k) is the vertex.

Therefore, since the vertex is at the origin; we have;

y = (-1/20) (x -0)² + 0

y = -x²/20

20y = -x²

Ultimately, the required equation of the parabola is;

x² = -20y.

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Answer:

[tex]y = -\frac{1}{20} x^{2}[/tex]

Step-by-step explanation:

[tex]y = \frac{1}{4(f-k)}(x - h)^{2} + k[/tex] Use the equation of the parabola. The vertex is at the origin, then (h, k) is (0, 0). Substitute 0 for h and k in the equation.

[tex]y = \frac{1}{4(f-0)} (x-0)^{2} + 0[/tex] Simplify.

[tex]y = \frac{1}{4f} x^{2}[/tex]

The directrix is given [tex]y = 5[/tex]. The distance from the focus to the vertex equals the distance from the vertex to the directrix, so

[tex]f - k = k - 5\\f = -5[/tex] Substitute -5 for f  in the equation of the parabola above.

[tex]y = \frac{1}{4 * - 5} x^{2}[/tex] Simplify.

[tex]y = - \frac{1}{20} x^{2}[/tex]

Answer: 6.33

Step-by-step explanation:

[tex]x^2 =36 \implies x=\pm 6\\\\x^3 =125 \implies x=5\\\\x^2=81 \implies x=\pm 9\\\\x^3 =512 \implies x=8\\\\x^2 =100 \implies x=\pm 10\\\\x^2 =121 \implies x=\pm 11\\\\x^2 =49 \implies x=\pm 7\\\\x^3 =64 \implies x=4\\\\x^3 =8 \implies x=2\\\\[/tex]

So, the correct answers are 5, 10, and 4, and thus the mean is 19/3, or about 6.33.

Answer:

Explanation:

We are given absolute value function:

It has been stretched horizontally by a factor of 3, we need to find a new function that shows the stretched functions:

Stretch-Compress-along x:

Stretch if:

Since our function is Stretched by a factor of 3, therefore our function g(x) is:

This is a new function.

Answer:

Step-by-step explanation:

g(x) = |1/3x|

It is a transilation transformation.

The coordinate is moved 6 units to the right and 6 unit to down ward direction.

In this case, the answer is very simple.

Defines substitution.

The answer is:

The substitution method for solving systems of linear equations, consists of solving or isolating one of the unknowns (for example, x) and substitute its expression in the other equation.

In this way, we will obtain a first degree equation with the other unknown (y), and once solved ''y'', we calculate the value of ''x'' substituting the value of ''y'', that we already know.

The graph of the parabola is added as an attachment

From the complete question (added at the end of the solution), the equation of the parabola is given as

y = x²

When a parabola has the form of y = x², then the vertex of the parabola is

Vertex = (0, 0)

Set x > 0 to determine the points to the right

When x = 1

y = 1² = 1

When x = 2

y = 2² = 4

Set x > 0 to determine the points to the left

When x = -1

y = -1² = 1

When x = -2

y = -2² = 4

So, the points are

(1, 1), (2, 4), (-1, 1) and (-2, 4)

While the vertex is (0, 0)

Next, we plot the graph of the parabola using a graphing calculator

See attachment for the graph

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Complete question

Graph the parabola y = x²

Plot five points on the parabola: the vertex, two points to the left of the vertex, and two points to the right of the vertex. Then click on the graph-a-function button.

Answer:

6. C

7. 105 ft²

Explanation:

The square pyramid has a square base with a side's length equal to 5 ft and a slant height equal to 8 ft.

Now, the only option that shows a square with a side length equal to 5 is C. So, the right net is C.

Then, the amount of fabric depends on the area of the net. The area of the net is equal to the area of the square added to the area of the triangles.

The area of the square is:

Area = side x side = 5 x 5 = 25 ft²

The area of the triangles is:

Area = 1/2 x base x height = 1/2 x 5 x 8 = 20 ft²

Then, the total area of the net is:

Total Area = 25 ft² + 4( 20 ft²)

Total Area = 25 ft² + 80 ft²

Total Area = 105 ft²

So, Frank needs 105 ft² of fabric to make the fort.

The Solution:

Given:

We are asked to find the value of x.

By applying the Trigonometrical Ratio, we have:

Cross multiplying, we get

Therefore, the correct answer is 14.20

The value of x = - 12°

The triangle which has two equal sides or two equal sides is called an Isosceles triangle. In a Isosceles triangle the angles made by equal sides with 3rd side will be equal

Here from given question we have,

Measure of ∠2 = x + 85

And the measure of another angle = 73

From given picture,

Two sides of triangle are equal then the given triangle will be an Isosceles triangle

As we know in a Isosceles triangle the angles made by the two equal sides with 3rd side will be equal  

=> ∠2 = 73

=> x + 85 = 73

=> x = - 85 +73

=> x = -12°

Therefore,

The value of x = -12°

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ANSWER

x = 12

EXPLANATION

By the intersecting chords theorem, the product of each segment of one chord equals to the product of each segment of the other chord:

Solving for x:

You can use multiplication to generate an equivalent ratio by multiplying both sides of the ratio by the same factor, this way:

As given by the question

There are given that the total investment money is $3000 and earns 4% annual interest.

Now,

x dollars in an account that earns 7% and that earns 5.5% interest for both accounts.

Then, for the equation

Assuming that the money is invested at simple interest for one year,

We have:

Hence, the correct option is B

Answer:

B- .0.055(3,000 + x) = 120 + 0.07x

Answer:

9.53

Step-by-step explanation:

Estimate of trees: 99,300
Estimate of branches: 60

Estimate of leaves: 1600

All of the numbers multiplied togethered: 99,300 x 60 x 1600 = 9,532,800,000

9,532,800,000 to the billions is 9.53b

Note: i do not know if this will be accepted since you didn't put any answer choices so yeah

Ok, so

The answer is that there's 1,000 grams in a Kilogram. That's the equivalence.

Given:

let u = x+5

so, the equation will become:

so, the equation is quadratic in form because the substitution u = x+5

The answer is the first statement

Note:

the second statement is wrong, because when the equation expanded, it will be a second degree polynomials not fourth degree

Also, the last 2 statements are wrong, because it is quadratic equation.

Solve for y in the equation in standard form

The value of P is 1 and value of V is 5 .

In this addition, each letter represents a single digit.

Now, Given that

       1   7    2

       2   9   4

+     7    V   6

= P   2    P    2

To find the value of P

To solve this addition:

       1   7    2

       2   9   4

+     7    5   6

= 1   2    1    2

Hence, The value of P is 1 and value of V is 5 .

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Answer:

What?

Step-by-step explanation:

What?