Find the derivative of the function. f(x) = (tan5(x) + 2)^2

Answer:

the third root

Step-by-step explanation:

Answer:

7 pieces

Step-by-step explanation:

Hope it helps.

Answer:

Here is an example: if we have a rectangle that has a length 3 and a height of 4 and the scale drawing with a scale factor of 2, how many times bigger is the scale drawings area? The original shape is 3 by 4 so we multiply those to find the area of 12 square units.

Answer:

9

27

Step-by-step explanation:

the scale factor of area is 3² = 9

the scale factor of volume is 3³ = 27​

Step-by-step explanation:

remember, that a/a = 1, and this is always the "whole" in such fraction scenarios.

in our case here : 9/9 or 3/3.

4 books for 2/9 of his money.

8 books for then 2× 2/9 = 4/9 of his money.

that is together

12 books for 6/9 = 2/3 of his money.

that leaves 3/9 = 1/3 of his money for the 2 identical bags.

so, 1/3 of his money for 2 bags.

how many bags for the whole (3/3) money ?

1/3 × x = 3/3

x = 3

he could have bought 3×2 = 6 bags with the original sum of money.

Answer:

34 Euros

Step-by-step explanation:

15% of 40 is 6.

40 minus 6 = 34

[tex][Hello,BrainlyUser][/tex]

Answer:

£34

Step-by-step explanation:

Given:

A pair of jeans cost £40

Discount of 15%

Question:

How much do the jeans cost after the discount

Solve:

£40 x 15% =6

£40 - 6 = 34

Hence, Jeans cost £34 after the discount

[CloudBreeze]

Answer:

28 cups

Step-by-step explanation:

If 7 cups will only fill 1/4 of her pot, multiply 4 by 7 to get 28.

PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP

Answer:

46 copies I guess

Step-by-step explanation:

253÷5.45 =46

Correct me if i wrong

Answer:

46.422

Step-by-step explanation:

The answer is 46.422 because it's asking for how many copies per minute. And since we know there are 253 copies, we will divide 253 by 5.45. When you divide those you get 46.422

Answer:

-1/6

Step-by-step explanation:

5a+2/3=-1/6

5a=-1/6-2/3

5a=-1/6-4/6

5a=-5/6

a=(-5/6)/5

a=(-5/6)(1/5)

a=-5/30

simplify

a=-1/6

Answer:

22 inches

Step-by-step explanation:

Diameter = 2*radius = 2(11) = 22 inches

Answer:

Let ABC be a triangle such that CA is produced to meet at E.

We know, an exterior angle of a Triangle is equal to non- adjacent interior angle, so

8x - 10 = x + 15 + 2x + 20

or, 8x - 3x = 35 + 10

or, 5x = 45

or, x = 9

[tex]\mathbb{FINAL\:ANSWER:}[/tex]

[tex]\huge\boxed{\sf{y=4x+3}}[/tex]

[tex]\mathbb{SOLUTION\:WITH\:STEPS:}[/tex]

Hi! Hope you are having a nice day!

We are given the slope of the line and its y-intercept.

So, let's find the equation.

The y-intercept is written in the form (0, b).

No worries! b is the y-intercept.

Thus, the y-intercept equals 3.

Now, let's find the equation of the line with a slope of 4 and a y-intercept of 3.

We can write the equation in Slope-intercept form:

y=mx+b, where m stands for the slope and b stands for the y-intercept.

Since we have both m and b, we can just plug the given values:

y=4x+3 ✓

Hope you could understand everything.

#CarryOnLearning

Answer:

b = 5

Step-by-step explanation:

Area of the triangle = b * 12/2 = 6b

Area of the rectangle = 9 * 12 = 108

Total area = 6b + 108  = 138

6b = 138 - 108 = 30

so b = 30/6 = 5

Ok so, 42 ft. by 42 ft.

$25 per square yard

1 square yard = 9 square feet

The total square footage is 1,764 ft.

Total square yards is 196.

The total cost would be $4,900.

Answer:

90+15x=225

Step-by-step explanation:

90 already saved plus 15 an hour equals 225

Geometric shapes are mathematical shapes that include squares and triangles

The side lengths of a square are congruent, and the adjacent sides are perpendicular.

So, we start by calculating the side lengths using the following distance formula

[tex]d = \sqrt{(x_1 -x_2)^2 + (y_1 -y_2)^2}[/tex]

Using the above formula, we have:

[tex]AB = \sqrt{(3-2)^2 + (4+2)^2} = \sqrt{37[/tex]

[tex]BC = \sqrt{(2+4)^2 + (-2+1)^2} = \sqrt{37[/tex]

[tex]CD = \sqrt{(-4+3)^2 + (-1-5)^2} = \sqrt{37}[/tex]

[tex]DA = \sqrt{(-3-3)^2 + (5-4)^2} = \sqrt{37}[/tex]

The above shows that the side lengths of the square are congruent.

Next, calculate the slope of the sides using:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m_{AB} = \frac{4 +2}{3 -2} = 6[/tex]

[tex]m_{BC} = \frac{-2 + 1}{2+4} = -\frac 16[/tex]

[tex]m_{CD} = \frac{-1 -5}{-4+3} = 6[/tex]

[tex]m_{DA} = \frac{5 -4}{-3-3} = -\frac 16[/tex]

Notice that the opposite slopes are congruent, and the adjacent slopes are opposite reciprocal.

The above highlight, and the equal side lengths show that the figure (1) is a square

The legs of a right isosceles triangle are congruent, and the legs are perpendicular.

So, we start by calculating the lengths of the legs using the following distance formula

[tex]d = \sqrt{(x_1 -x_2)^2 + (y_1 -y_2)^2}[/tex]

Using the above formula, we have:

[tex]XY = \sqrt{(5-4)^2 + (-1-4)^2} = \sqrt{26[/tex]

[tex]XZ = \sqrt{(5-0)^2 + (-1+2)^2} = \sqrt{26[/tex]

The above shows that the legs of the right isosceles triangle are congruent.

Next, calculate the slope of the legs using:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m_{XY} = \frac{5-4}{-1 -4} = -\frac{1}{5}[/tex]

[tex]m_{XZ} = \frac{5-0}{-1+2} = 5[/tex]

Notice that the slopes are opposite reciprocal.

The above highlight, and the equal legs show that the figure (2) is a right isosceles triangle

Read more about geometric shapes at:

https://brainly.com/question/14285697

Answer:

If he worked 5 hours and his rate is $14/hr, then he earned a total of $70.He mailed 300 postcard, so each postcard mailed is $0.2333

Step-by-step explanation:

mark me brainliest!!

Answer:

87

Step-by-step explanation:

First method:

- Open Excel and enter 360, 353 and 346 in column A (below each other)

- Select all 3 cells and drag the bottom-right square down to row 40.

Second method:

- Use the equation t(n) = 360-7(n-1)

- Solve for n=40

- t(40) = 360 - 7*39 = 87

Answer:

It is 45 degree angle

Step-by-step explanation:

AB is the tilted angle of the triangle

BC is the height and the vertical part of the triangle

If AB is 10 then BC is 5 and AC is possibly about 6-8

If that is so then 2 right triangles is a square

A square has 90 degree angles on any angle

Divide 90 by 2 which is 45 because a right triangle is half of a square

Therefore angle ABC is 45 degrees

Answer:

I think your answer is 73".

I think it will help you

Answer:

an equation is said to have no real solutions when value of x < 0

Step-by-step explanation:

here,

(x-4) 2= -9

2x - 8 = -9

2x = -1

x = -1/2

which is less than 0

The equation (x – 4)² = -9 has no real roots.

The solution of a quadratic equation is the value of the variable for which the expression becomes true.

Given,

          (x – 4)² = -9

The LHS of the equation is either positive or zero.

But, the RHS of the equation is a negative value.

Therefore, RHS and LHS can never be equal.

Hence, the equation (x – 4)² = -9 has no real roots.

To learn more about quadratic equations visit:

https://brainly.com/question/17177510

#SPJ1

Step-by-step explanation:

All of these vectors are in DE Moviere Form, so let put them in Vector notation

To this this, multiply the modulus by the exact values of trig functions,

So using this, Vector u

[tex]u= 3j + 3 \sqrt{3} i[/tex]

Vector V

[tex]v = 2 \sqrt{2} j - 2 \sqrt{2} i[/tex]

Vector W

[tex]w = - 6 \sqrt{3}j + 6i[/tex]

So know we can compete the parts.

For Part A:

We first multiply the vector U by -7 then multiply that by v.

[tex] - 7u = - 21j - 21 \sqrt{3} j[/tex]

Know we do cross product

[tex] - 7u(v) = ( - 21j - 21 \sqrt{3} i)(2 \sqrt{2} j \: + 2 \sqrt{2} i[/tex]

First, multiply the j componets.

Then, do the I componets and then add the product together.

[tex] - 42 \sqrt{2} j - 42 \sqrt{6} i[/tex]

So the answer to part A is the vector above.

Part B:

Let first find the dot product of u and w.

First, the cross product of u and w is

[tex] - 18 \sqrt{3} j + 18\sqrt{3} i[/tex]

The magnitudes of each respective vector is

6 and -12. So if we use dot product formula

[tex] \cos( \alpha ) = \frac{xy}{ |x| |y| } [/tex]

So we get

[tex] \cos( \alpha ) = \frac{ - 18 \sqrt{3} + 18 \sqrt{3} }{ - 72} [/tex]

[tex] \cos(a) = \frac{0}{ - 12} [/tex]

[tex] \cos(a) = 0[/tex]

[tex]a = \frac{\pi}{2} [/tex]

Since the angle is pi/2, the vectors are orthogonal.

Answer:

correct

Step-by-step explanation:

Answer:

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100. The formula used to calculate percentage is: (value/total value)×100%.

Step-by-step explanation:

Answer:

Use integrals to find the area between the curves.

32

3

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(

0

,

0

)

,

(

4

,

4

)

Equation Form:

x

=

0

,

y

=

0

x

=

4

,

y

=

4

To find the volume of the solid, first define the area of each slice then integrate across the range. The area of each slice is the area of a circle with radius

f

(

x

)

and

A

=

π

r

2

.

V

=

π

∫

4

0

(

f

(

x

)

)

2

−

(

g

(

x

)

)

2

d

x

where

f

(

x

)

=

−

x

2

+

5

x

and

g

(

x

)

=

x

Simplify the integrand.

Tap for more steps...

V

=

x

4

−

10

x

3

+

24

x

2

Split the single integral into multiple integrals.

V

=

π

(

∫

4

0

x

4

d

x

+

∫

4

0

−

10

x

3

d

x

+

∫

4

0

24

x

2

d

x

)

By the Power Rule, the integral of

x

4

with respect to

x

is

1

5

x

5

.

V

=

π

(

1

5

x

5

]

4

0

+

∫

4

0

−

10

x

3

d

x

+

∫

4

0

24

x

2

d

x

)

Combine

1

5

and

x

5

.

V

=

π

(

x

5

5

]

4

0

+

∫

4

0

−

10

x

3

d

x

+

∫

4

0

24

x

2

d

x

)

Since

−

10

is constant with respect to

x

, move

−

10

out of the integral.

V

=

π

(

x

5

5

]

4

0

−

10

∫

4

0

x

3

d

x

+

∫

4

0

24

x

2

d

x

)

By the Power Rule, the integral of

x

3

with respect to

x

is

1

4

x

4

.

V

=

π

(

x

5

5

]

4

0

−

10

(

1

4

x

4

]

4

0

)

+

∫

4

0

24

x

2

d

x

)

Combine

1

4

and

x

4

.

V

=

π

(

x

5

5

]

4

0

−

10

(

x

4

4

]

4

0

)

+

∫

4

0

24

x

2

d

x

)

Since

24

is constant with respect to

x

, move

24

out of the integral.

V

=

π

(

x

5

5

]

4

0

−

10

(

x

4

4

]

4

0

)

+

24

∫

4

0

x

2

d

x

)

By the Power Rule, the integral of

x

2

with respect to

x

is

1

3

x

3

.

V

=

π

(

x

5

5

]

4

0

−

10

(

x

4

4

]

4

0

)

+

24

(

1

3

x

3

]

4

0

)

)

Simplify the answer.

Tap for more steps...

V

=

384

π

5

The result can be shown in multiple forms.

Exact Form:

V

=

384

π

5

Decimal Form:

V

=

241.27431579

…

image of graph

To find the volume of the solid, first define the area of each slice then integrate across the range. The area of each slice is the area of a circle with radius

f

(

x

)

and

A

=

π

r

2

.

V

=

π

∫

4

0

(

f

(

x

)

)

2

−

(

g

(

x

)

)

2

d

x

where

f

(

x

)

=

−

x

2

+

5

x

and

g

(

x

)

=

x

Simplify the integrand.

Tap for more steps...

V

=

x

4

−

10

x

3

+

24

x

2

Split the single integral into multiple integrals.

V

=

π

(

∫

4

0

x

4

d

x

+

∫

4

0

−

10

x

3

d

x

+

∫

4

0

24

x

2

d

x

)

By the Power Rule, the integral of

x

4

with respect to

x

is

1

5

x

5

.

V

=

π

(

1

5

x

5

]

4

0

+

∫

4

0

−

10

x

3

d

x

+

∫

4

0

24

x

2

d

x

)

Combine

1

5

and

x

5

.

V

=

π

(

x

5

5

]

4

0

+

∫

4

0

−

10

x

3

d

x

+

∫

4

0

24

x

2

d

x

)

Since

−

10

is constant with respect to

x

, move

−

10

out of the integral.

V

=

π

(

x

5

5

]

4

0

−

10

∫

4

0

x

3

d

x

+

∫

4

0

24

x

2

d

x

)

By the Power Rule, the integral of

x

3

with respect to

x

is

1

4

x

4

.

V

=

π

(

x

5

5

]

4

0

−

10

(

1

4

x

4

]

4

0

)

+

∫

4

0

24

x

2

d

x

)

Combine

1

4

and

x

4

.

V

=

π

(

x

5

5

]

4

0

−

10

(

x

4

4

]

4

0

)

+

∫

4

0

24

x

2

d

x

)

Since

24

is constant with respect to

x

, move

24

out of the integral.

V

=

π

(

x

5

5

]

4

0

−

10

(

x

4

4

]

4

0

)

+

24

∫

4

0

x

2

d

x

)

By the Power Rule, the integral of

x

2

with respect to

x

is

1

3

x

3

.

V

=

π

(

x

5

5

]

4

0

−

10

(

x

4

4

]

4

0

)

+

24

(

1

3

x

3

]

4

0

)

)

Simplify the answer.

Tap for more steps...

V

=

384

π

5

The result can be shown in multiple forms.

Exact Form:

V

=

384

π

5

Decimal Form:

V

=

241.27431579

…

y

=

3

x

+

4

,

[

2

,

3

]

y

=

3

x

−

2

,

(

0

,

4

)

y

=

√

x

,

[

1

,

4

]

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

No explaintion sorry.

Hope this helps!

Answer:

25 cents per lemon

Step-by-step explanation:

Simply divide

Answer:

See below

Step-by-step explanation:

When solving real world problems relating to unit price, divide the cost by the amount.

2.5/10

The unit price is 0.25.

-hope it helps

57cm

because you get to subtract

Answer:

because it's an odd exponent

Step-by-step explanation:

-2^3 = -(2*2*2)

(-2)^3 = (-2)*(-2)*(-2)

if it was ^4 the sign would be flipped:

-2^4 = -(2*2*2*2) = -16

(-2)^4 = (-2)*(-2)*(-2)*(-2) = 16

The way to put this is that any negative base raised to an odd-numbered power, will result in a negative result, whereas any negative base raised to an even-numbered power, will result in a positive result, with the EXCEPTION of a negative base written WITHOUT grouping symbols. For instanse:

[tex]\displaystyle -1000 = -10^3 \\ -1000 = [-10]^3 \\ \\ BUT \\ \\ 10000 ≠ -10^4\:[-10000 = -10^4] \\ 10000 = [-10]^4[/tex]

I hope you know the differense now, and as always, I am joyous to assist anyone at any time.

Answer:

a = 6

b = 7

Step-by-step explanation:

Since both 36 and 49 are perfect squares, you can find their square roots which are 6 and 7.

To check to see if it is correct, replace the a with 6 and replace the b with 7, then evaluate the exponents.