Convert the following mixed number to an improper fraction:
8 4/7

Answer:

A= 19 1/4

Step-by-step explanation:

to find the area of a rectangle, it would be LxW

so you would take 5 1/2 x 3 1/2. this would give you 19 1/4

Answer:

x=14

Step-by-step explanation:

subtract 2 from both of the sides

70=5x

divide each side by 5

x=14

Answer:

2000 is the answers.............

Answer:

8. B.

9. B.

10. B.

11. No answer choices.

Step-by-step explanation:

Yes, they are all actually B. Hope this helps!

Answer: B, B, B

Step-by-step explanation: The last question has no answer choices shown.

Answer:

Step-by-step explanation:

3) Congruent segments added to congruent segments form congruent segments

4) [tex]\overline{AD} \parallel \overline{BC}[/tex] (opposite sides of a parallelogram are parallel)

5) [tex]\angle FAH \cong \angle GCE[/tex] (if 2 parallel lines are cut by a transversal, the alternate interior angles are congruent)

6) [tex]\triangle GEC \cong \triangle HFA[/tex] (ASA)

Answer:

81 inches is 6.75 feet

Step-by-step explanation:

hope this helps

Answer:

6.75

Step-by-step explanation:

Given;

81 Inches to Feet

Note;

Formula of Inches to Feet : divide the length value by 12

Solve;

81/12 = 6.75

Thus, Result of converting 81 inches to feet is 6.75

[RevyBreeze]

The series you had provided is generally the Maclaurin's series , and we want to prove the series , this series is very very much useful in calculus , especially when you have to substitute a function by it's series . So now let's start !

Consider the function f(x) as series of a polynomials of nth (n ≥ 1) degree as

[tex]{\boxed{\bf{f(x)=a_{0}+a_{1}x+a_{2}x^{2}+a_{3}x^{3}+a_{4}x^{4}+\cdots \cdots \infty}}}[/tex]

Now , at x = 0

[tex]{:\implies \quad \sf f(0)=a_{0}+a_{1}(0)+a_{2}(0)^{2}+a_{3}(0)^{3}+a_{4}(0)^{4}+\cdots \cdots \infty}[/tex]

[tex]{\boxed{:\implies \quad \sf f(0)=a_{0}}}[/tex]

Now , again consider the function that we assumed

[tex]{:\implies \quad \sf f(x)=a_{0}+a_{1}x+a_{2}x^{2}+a_{3}x^{3}+a_{4}x^{4}+\cdots \cdots \infty}[/tex]

Differentiating both sides w.r.t.x will yield

[tex]{:\implies \quad \sf f^{\prime}(x)=0+a_{1}\times 1+a_{2}\times 2\times x+a_{3}\times 3\times x^{2}+a_{4}\times 4\times x^{3}+\cdots \cdots \infty}[/tex]

[tex]{:\implies \quad \sf f^{\prime}(x)=a_{1}+2a_{2}x+3a_{3}x^{2}+4a_{4}x^{3}\cdots \cdots \infty}[/tex]

Now , put x = 0 ;

[tex]{:\implies \quad \sf f^{\prime}(0)=a_{1}+2a_{2}(0)+3a_{3}(0)^{2}+4a_{4}(0)^{3}\cdots \cdots \infty}[/tex]

[tex]{:\implies \quad \sf f^{\prime}(0)=a_{1}}[/tex]

[tex]{\boxed{:\implies \quad \sf a_{1}=\dfrac{f^{\prime}(0)}{1!}}}[/tex]

Now , consider ;

[tex]{:\implies \quad \sf f^{\prime}(x)=a_{1}+2a_{2}x+3a_{3}x^{2}+4a_{4}x^{3}\cdots \cdots \infty}[/tex]

Differentiating both sides w.r.t.x now ;

[tex]{:\implies \quad \sf f^{\prime \prime}(x)=0+2\times a_{2}\times 1+3\times a_{3}\times 2\times x+4\times a_{4}\times 3\times x^{2}\cdots \cdots \infty}[/tex]

[tex]{:\implies \quad \sf f^{\prime \prime}(x)=2a_{2}+6a_{3}x+12a_{4}x^{2}+\cdots \cdots \infty}[/tex]

Now , putting x = 0 will yield ;

[tex]{:\implies \quad \sf f^{\prime \prime}(0)=2a_{2}+6a_{3}(0)+12a_{4}(0)^{2}+\cdots \cdots \infty}[/tex]

[tex]{:\implies \quad \sf f^{\prime \prime}(0)=2a_{2}}[/tex]

[tex]{\boxed{:\implies \quad \sf a_{2}=\dfrac{f^{\prime \prime}(0)}{2!}}}[/tex]

Now , similarly we can prove that ;

[tex]{\boxed{:\implies \quad \sf a_{n}=\dfrac{f^{n}(0)}{n!}}}[/tex]

Now , as we had considered ;

[tex]{:\implies \quad \sf f(x)=a_{0}+a_{1}x+a_{2}x^{2}+a_{3}x^{3}+a_{4}x^{4}+\cdots \cdots \infty}[/tex]

Now , putting the values we obtained above ;

[tex]{:\implies \quad \sf f(x)=f(0)+\dfrac{x}{1!}f^{\prime}(0)+\dfrac{x^2}{2!}f^{\prime \prime}(0)+\dfrac{x^3}{3!}f^{\prime \prime \prime}(0)+\dfrac{x^4}{4!}f^{\prime \prime \prime \prime}(0)+\cdots \cdots \dfrac{x^n}{n!}f^{n}(0)+\cdots \cdots \infty}[/tex]

Hence , Proved

Answer:

4.) 15

Step-by-step explanation:

90 - 75 = 15 which would be the answer.

[tex]81x^{2} -121=(9x-11)(9x+11)[/tex]

Hope that helped!

Factoring:

     [tex]81x^2-121=(9x+11)(9x-11)[/tex]

Hope that helps!

Answer:

(32,92) and (−1,2)

Step-by-step explanation:

You have to equal the two Ys, meaning their values as well or you can find the value of the first x and then plug it in the second equation. There are many ways to solve this to.

Answer:

30

Step-by-step explanation:

5% of 600 is 30 so that should be ur answer

[tex]f(x) = (tan(5x)+2)^2\\\\f'(x) = 2(tan(5x) +2)*\frac{d}{dx}(tan(5x)+2) = 2(tan(5x)+2)*5sec^2(5x)\\ =(2tan(5x)+4)*5sec^2(5x)\\ =10tan(5x)*sec^2(5x)+20sec^2(5x)[/tex]

Hope that helps!

The value of d when h is 500m is approximately 1,813m

Give the heights above the ground (hm) after it has dropped expressed as:

h = 3/8(d-480),

If h = 500m, then;

500 = 3/8(d - 480)

Cross multiply

500*8 = 3(d - 480)

4000 = 3(d - 480)

Expand to have:

4000 = 3d - 1440

3d = 5440

d = 1,813.3m

Hence the value of d when h is 500m is approximately 1,813m

Learn more on functions and values here: https://brainly.com/question/2284360

D. f-1(x) = x-4/6

Step-by-step explanation:

y = 6x + 4

-4

y-4 = 6x

÷6

y-4/6 = x

(Swap y and x around to find the inverse)

Inverse will be:

x - 4/6 = y

So, f-1(x) = x-4/6

Hope this helps!

Answer:

C

Step-by-step explanation:

D: {-3,0,1,3}

R: {-5,-4,1,5}

The relationship iof the ostrich running at 43 miles per hour is proportional.

Since speed = distance per unit time

The speed of the ostrich is 43 miles per hour. This means that the ostrich covers a distance of 43 miles every hour.

Since the ostrich always covers a distance of 43 miles every hour, we see that distance is proportional to time.

So, the relationship iof the ostrich running at 43 miles per hour is proportional.

Learn more about proportionality here:

https://brainly.com/question/24868934

Answer: z = 3

Step-by-step explanation: 1 centimeter = 1 month so 3 centimeter = 3 months

The width of the cloud is 12500 meters wide.

The situation forms a right angle triangle.

Right angle triangle are triangle that has one of its sides as 90 degrees. The sides can be found using trigonometric ratios.

Therefore, the altitude is the opposite side of the triangle formed. The width of the cloud is the adjacent side of the triangle formed.

tan 10 = opposite / adjacent

Therefore,

tan 10° = 2200 / a

cross multiply

a = 2200 / tan 10°

a = 2200 / 0.1763269807

a = 12500 meters

Therefore, the width of the cloud is 12500 meters .

learn more on right triangle here: https://brainly.com/question/2883415

Answer:

20b

Step-by-step explanation:

3+8+9

3+8=11

9+11=20

3b+8b+9b

3b+8b=11b

11b+9b=20b

Answer:

Since they all have the same variable, you add them all together. so it would be 20b !!

Step-by-step explanation:

The perimeter of the figure, rounded to the nearest tenth is: 17.2 units.

Perimeter of a figure is the total length of all sides of the figure.

The distance formula, [tex]d = \sqrt{(x_2 - x_2)^2 + (y_2 - y_1)^2}[/tex], can be used to find the length of each segment of a figure on a coordinate plane.

Thus, we have:

A(0, 4)

B(4, 4)

C(1, 0)

D(4, 1)

Perimeter of the figure = AB + BC + CD + DA

AB = |4 - 0| = 4 units

BC = √[(1−4)² + (0−4)²]

BC = √25

BC = 5 units

CD = √[(1−4)² + (0−1)²]

CD = √10

CD = 3.2 units

DA = √[(0−4)²+ (4−1)²]

DA = √25

DA = 5 units

Therefore:

Perimeter of the figure = 4 + 5 + 3.2 + 5 = 17.2 units.

Learn more about perimeter of a figure on:

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Answer:

false and can you please help me on my last question i posted its bout john henry

Step-by-step explanation:

Answers: set the expression 3x equals to 0 and set the expression x-6 equal to 0, then solve both equations for x

Step-by-step explanation: x = 0, x = 6

Answer:

Physical activy used for pleasure.

Step-by-step explanation:

It's just a meaning so I can't provide an explanation.

Answer:

97.4 inches squared

Answer:

answer is 2.8 im not sure so check with another person mark me as brainliest

Step-by-step explanation:

if you divide 10 divided by 2 it gives you 5 and then subtract it by 2.2 = 2.8

there goes your answer.

Answer:

(1, 15), (2, 30), (3, 45), (4, 60)

Step-by-step explanation:

So the values are already given to you in the table, it's just a matter of turning them into ordered pairs. Ordered pairs are a set of numbers that represent a point on the coordinate plane. On the graph, the x-axis (horizontal) is for time and the y-axis (vertical) is for the amount of push-ups. An ordered pair is (x, y) so you put (amount of minutes, amount of push-ups). For how they're related, how many push-ups he did increases by 15 for every minute. So, the y-value increases by 15 when the x-value increases by 1.

Answer:

Step-by-step explanation:

Volume of cube = edge³

                           = 12*12*12

                           = 1728 in³

Volume of prism = volume of 64 cubes

                            = 64 * volume of a cube

                            = 64 * 1728

                            = 110592 in³