Integrate the following. ∫[tex]5x^{4} dx[/tex]
Option A: [tex]x^{5}[/tex]
Option B: [tex]5x^{5} +C[/tex]
Option C:[tex]5x^{5}[/tex]
Option D: [tex]x^{5} + C[/tex]

Answer:

216 a^6

Step-by-step explanation:

(6a^2)^3

We know (xy)^z = x^z * y^z

6^3  * a^2^3

216 a^2^3

We know x^y^z = x^(y*z)

216 a^(2*3)

216 a^6

Answer:

(2 x 2 x 2) x (0.03125)

Step-by-step explanation:

Answer:

-20/343

Step-by-step explanation:

Answer:

7 is the coefficient

A coefficient is a number before a variable.

For example, in 7j, 7 is the coefficient:)

Step-by-step explanation:

Answer:

Here's one way to do it

Step-by-step explanation:

1. Solve the inequality for y

5x - y > -3

-y > -5x - 3

y < 5x + 3

2. Plot a few points for the "y =" line

I chose

\begin{gathered}\begin{array}{rr}\mathbf{x} & \mathbf{y} \\-2 & -7 \\-1 & -2 \\0 & 3 \\1 & 8 \\2 & 13 \\\end{array}\end{gathered}

x

−2

−1

0

1

2

y

−7

−2

3

8

13

You should get a graph like Fig 1.

3. Draw a straight line through the points

Make it a dashed line because the inequality is "<", to show that points on the line do not satisfy the inequality.

See Fig. 2.

4. Test a point to see if it satisfies the inequality

I like to use the origin,(0,0), for easy calculating.

y < 5x + 3

0 < 0 + 3

0 < 3. TRUE.

The condition is TRUE.

Shade the side of the line that contains the point (the bottom side).

And you're done (See Fig. 3).

The graph the inequality of linear inequality in the coordinate plane [tex]5x-y > -3[/tex] is shown below .

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.If the symbol ≥ or > is used, shade above the line. If the symbol ≤ or < is used shade below the line.

According to the question

linear inequality in the coordinate plane.

[tex]5x-y > -3[/tex]

which can be written as

-y > -3 -5x  

y < 3 + 5x ( standard way to express inequality )

Now , to get the points for  graph the inequality

We will treat inequality as equation

y = 3 + 5x

x                 y

0                 3

1                  8      

-1                 -2

-0.6             0

Now,

As per rule of graph the inequality

The boundary line is dashed for > and <  

and  If the symbol ≤ or < is used shade below the line.  

Therefore , graph the inequality is plotted accordingly .

Hence, the graph the inequality of linear inequality in the coordinate plane [tex]5x-y > -3[/tex] is shown below .

To know more about graph the inequality here:

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Answer:

Slope m = -5

y intercept = 4

so the equation of the line is,

y = -5x+4

Plot two points, (0,4) and (1,-1)

then connect them, I've attached a graph, your graph should look like that

Answered by GAUTHMATH

Answer:

y=-5x+4

Step-by-step explanation:

y=mx+b

the slope is m

the y intercept is b

-5/1= one right and down 5

4 is the starting point on the y-axis (the vertical one)

Answer:

[tex]x = 2.4[/tex]

Step-by-step explanation:

Step 1:  Find the length of AB

[tex]\frac{ED}{EA} = \frac{EC}{EB}[/tex]

[tex]\frac{15}{12} = \frac{18}{12+x}[/tex]

Cross Multiply

[tex]15(12+x) = 12(18)[/tex]

Distribute

[tex](15*12)+(15*x) = 216[/tex]

[tex]180 + 15x = 216[/tex]

Divide

[tex]15x / 15 = 36 / 15[/tex]

[tex]x = 2.4[/tex]

Answer:  [tex]x = 2.4[/tex]

Answer:

jhv

Step-by-step explanation:

kjbb

Answer:

y = -2x+7

Step-by-step explanation:

The slope intercept form of an equation is

y = mx+b  where m is the slope and b is the y intercept

y = -2x +b

Substitute the point into the equation and solve for b

5 = -2(1)+b

5 = -2+b

Add 2 to each side

5+2 = -2+b+2

7=b

y = -2x+7

Answer:

b and d

Step-by-step explanation:

Answer:

A.  3 (1,2,3,4,5) B 60%

Step-by-step explanation:

Answer:

a) {1H,2H,3H,4H,5H,1T,2T,3T,4T,5T} b) 1H,3H,5H,1T,3T,5T

Step-by-step explanation:

a)

sample space is basically all possible outcomes in a list so {1H,2H,3H,4H,5H,1T,2T,3T,4T,5T}

b)

favorable outcomes of choosing an odd number are the outcomes with odd numbers so 1H,3H,5H,1T,3T,5T

The total distance the monkey has traveled when she completes her 25th swing is 92.82 m if the monkey is swinging from a tree.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have:

A monkey is swinging from a tree. On the first swing, she passes through an arc of 10 m. With each swing, she passes through an arc 9/10 the length of the previous swing.

In first swing = 10 m

In second swing = (9/10)10 m = 9 m

In the second swing = (9/10)9 =81/10

10, 9, 81/10,..

This is the geometric sequence with the first term being 10 and the common ratio being 9/10.

a = 10

r = 9/10

The sum of geometric sequence up to 25th terms:

S = a(1 - rⁿ)/(1 - r)

S = 10(1 - (9/10)²⁵)/(1 - 9/10)

S = 92.82 m

Thus, the total distance the monkey has traveled when she completes her 25th swing is 92.82 m if the monkey is swinging from a tree. On the first swing, she passes through an arc of 10 m. With each swing, she passes through an arc 9/10 the length of the previous swing.

Learn more about the sequence here:

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Answer:

The legnth of side AB would be 3 units

Step-by-step explanation:

First, you would determine that both point A and point B would have the same y-coordinate of 1.   Then you would determine the difference between the x values of points A and B.  Since 5 (the x-value for B) minus 2 (the x-value for A) is 3, the legnth of side AB would be 3 units.

Answer:

8(3j -2)

4(6j -4)

Step-by-step explanation:

24j - 16

Rewriting

8*3*j - 8*2

Factor out the greatest common factor

8(3j -2)

We can also factor out 4

4*6j - 4*4

4(6j -4)

Answer:

A & C

Step-by-step explanation:

A) 8(3j-2)

= 24j-16

B) 6(4j-2j)

= 24j -12 j (not equal)

C) 4 (6j-4)

24j -16

D) 2(12-8)

24-16 (not equal)

Therefore only A and C are equivalent to 24j-16

Answered by Gauthmath

Answer:

3:7

Step-by-step explanation:

hope it help you....

Answer:

2:7

Step-by-step explanation:

You have to find the common denominator and divide both numbers by that for example: 6 and 21 they can both be equally divided by 3 without becoming a fraction or a decimal.(Pls do correct me if i'm wrong don't be scared to)

Answer:

Let the height of the larger box = h

and length and width of the larger box = l and w , repectively

Now , Let find the volume of the larger box

Volume = length * width * height

So Volume of the larger box = l*w*h = lwh

Now the question says

the height of the smaller box is 80% of the height of the larger box

It means

Height of the smaller box = 80% of h = 0.80*h = 0.80h

and the other two dimensions are same so it means length and width of the smaller box = l and w

so, Volume of the smaller box = l*w*0.80h = 0.80lwh

So the Difference in the volume of the two boxes = Volume of larger box - Volume of smaller box

therefore , Difference in the Volume of two boxes = lwh - 0.80 lwh = 0.20lwh

Step-by-step explanation:

Answer:

1/2 pi

Step-by-step explanation:

This is 1/4 of a circle

Find the  circumference and multiply by 1/4

1/4 C

1/4 ( 2*pi*r)  where r is the radius

The radius is 1

1/2 pi*1

1/2 pi

Answer:

Step-by-step explanation:

A full circle has a circumference of 2*pi * r

r = 1

so Full Circle = 2 * PI

1/4 Circle = 2*pi / 4 = 1/2 pi

The length of the arc length = 1/2 pi

Just in case you prefer the more numerical answer, 1/2 * 3.14 = 1.57

Answer:

1/9 or 3^-2

Step-by-step explanation:

Ignore the value of 1/3 for now and just focus on the 3^2.

Find 3^2:

3*3 = 9

Now 9 is the denominator, therefore our answer would be 1/9 once you reassemble the fraction.

Because 1/9 is our new fraction, we can use a negative exponent to create the same result. This is because the negative exponent rule tells us that a number with a negative exponent should be put to the denominator. Therefore we can then use 3^-2.

Answer:

3^-2

Step-by-step explanation:

Answer:

1. 864 < 1512

2. 12 > 0

3. question 3 is wrong -2 = -2

4. -0.5 < 1

5. In the above operations, they did not effect the inequality sign because the same operation is being done to both sides, therefore the inequality sentences all remained true.

Step-by-step explanation:

1. (3)(4) < (7)(3)

(2)12 < 21(2)

(4)24 < 42(4)

(9)96 < 168(9)

= 864 < 1512

2. 3+11 > -2+3

3+ 13 > 1 + 3

-4+16 > 4-4

= 12 > 0

3. -2 = -2 (question 3 is wrong)

4. -4/-4 < 8/-4

1/-2 > -2/-2

= -0.5 < 1

Answer:

Step-by-step explanation:

it is not a geometric sequence

Answer:

no

Step-by-step explanation:

Take the second  term and divide it by the first term

10/5 = 2

Take the third term and divide it by the second term

15/10 = 3/2

The ratio is not the same so it is not a geometric sequence

Answer:

E. 8x² - 10x

Step-by-step explanation:

4+x-9+3x

=x+3x+4-9

=4x+4-9

=4x-5

=2x(4x-5)

=8x² - 10x

Answer:

first graph equation is (0,5)

second graph equation is(-6,0)

Answer:

Solution: The general form of the line on a graph is y = mx+c,

where y is the coordinate of the point along the y-axis,

x is the coordinate of the point along the x-axis,

m is the slope of the line or arc tan of the angle the line makes with the x-axis, and

c is the intercept the line makes on the y-axis.

Suppose we want a line having a slope of 45º with the x-axis and passes through point P (4,6), the equation of the line is

y = mx + c

6 = tan 45 * 4 + c, or

6 = 4 + c, or

c = 6–4 = 2.

Answer:

x<6 this is the answer because the circle is hallow (not including) and going left (less than)

Answer:

x<6

Step-by-step explanation:

Look at the way the blue arrow is pointing that means less than and the circle is open so it is not equal to the number 6.