Please solve with explanation

Answer:

5n - 2

Step-by-step explanation:

3 + x = 8

8 - 3 = 5

5 = x

3 (first term) - 5 = -2

5n - 2

Answer:

nth term = 5n - 2

Step-by-step explanation:

The given sequence is 3, 8, 13, 18.

To find the nth term, we have to find the algebraic expression.

So, d = 8 - 3

    d = 5

b = first term - common difference

b = 3 - 5

b = (-2)

Algebraic expression or the nth term =

5n + (-2)

5n - 2.

Thus, the nth term equals to 5n-2!

Answer:

The given relation is presented as follows;

[tex]\dfrac{1}{a} + \dfrac{1}{b} +\dfrac{1}{c} = \dfrac{1}{a + b + c}[/tex]

Where 'a', 'b', and 'c' are member of real numbers, we have;

a⁹, b⁹, and c⁹ are also member of real numbers

When a⁹ = x, b⁹ = y, and c⁹ = z

By the above relationship, we have;

[tex]\dfrac{1}{x} + \dfrac{1}{y} +\dfrac{1}{z} = \dfrac{1}{x + y + z}[/tex]

Substituting x = a⁹, y = b⁹, and z = c⁹, we get;

[tex]\dfrac{1}{a^9} + \dfrac{1}{b^9} +\dfrac{1}{c^9} = \dfrac{1}{a^9 + b^9 + c^9}[/tex]

Step-by-step explanation:

Answer:

720 liters

Step-by-step explanation:

In 2019 (a non-leap year)

January has 31 days

February has 28 days

March has    31 days

The Total number of days is 90 days

Each day shows a consumption rate of 8 liters / day

Total consumption = 8 * 90 = 720

1) 36

2) 143

3) 18

4) 12

5) 15

6) 108

7) 58

The key here is to perform direct substitution in each problem.

I'll do a quick working down here

1) 9(8-4)= 9*4 =36

2) 4(5*4)+7*9= 80+63 =143

3) 114-(3*8*4)= 114-96=18

4) 24/(1*2) = 24/2 = 12

5) 19 - (28/7) = 19- 4 = 15

6) 3 (6)^2 = 3*6*6= 108

7)49 - 3(3)^2 + (6)^2 = 49-27+36= 58

Answer:

3

Step-by-step explanation:

A'B'C'D' is 3 times bigger than ABCD, so to get back to the original we gotta count the length of B'C' and devide by 3

[tex]9 \div 3 = 3[/tex]

The length of the segment BC or preimage of BC was 3 units.

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

Given, A Quadrilateral A' B'C'D' is the image of quadrilateral ABCD under a dilation with a scale factor of 3.

From the graph diagram the length of segment B'C' is 9 units.

Therefore, Before the dilation, the length of the segment BC would be

(1/3)×9.

= 3 units.

learn more about transformations here :

https://brainly.com/question/11709244

#SPJ2

Answer:

[tex]Y= -3x+2[/tex]

Step-by-step explanation:

Slope : [tex] - 3[/tex]

y-intercept = 2

Answer:

[tex] \frac{13}{2} [/tex]

Step-by-step explanation:

slope of the line that passes thru (5, 3) and (8, A)

[tex] = \frac{a - 3}{8 - 5} \\ \frac{a - 3}{3} [/tex]

the line that is perpendicular to the given line is

6x + 7y + 13= 0

finding the slop of this line :-

[tex]6x + 7y + 13 = 0 \\ 7y = - 6x - 13 \\ y = - \frac{6}{7} x - \frac{13}{7} [/tex]

Comparing with standard equation of a line

y = mx + c

m = - 6/ 7

Since, the two lines are perpendicular to each other the product of their slopes will be - 1

[tex] \frac{a - 3}{3} \times \frac{ - 6}{7} \\ \frac{ - 2(a - 3)}{7} = - 1 \\ - 2a + 6 = - 7 \\ - 2a = - 7 - 6 \\ - 2a = - 13 \\ 2a = 13 \\ a = \frac{13}{2} [/tex]

( canceling the 2 negative signs on both the sides )

Answer:

5

Step-by-step explanation:

Greater than 0

Less than 100

Is not 4, but is greater than four

Is less than 5.5

Must be a whole number

5 is the only whole number between 4 and 5.5

Step-by-step explanation:

tan < BCA = x/y = 3/18= 0.1667

< BCA = arc tan 0.1667 = 9.464° => 9.46°

Answer:

2 [tex]ft^{3}[/tex]

Step-by-step explanation:

volume of a cuboid = length * breadth * height

= 2*1*1

=2 [tex]ft^{3}[/tex]

Answer:

The volume of container is 2 ft ³.

Step-by-step explanation:

We have,

We have Formula, Volume of Cuboid.

[tex] \small \sf \mapsto \: Volume = length × breadth × height[/tex]

substitute the values

[tex] \small \sf \mapsto \: Volume = 1 ft × 1 ft × 2 ft[/tex]

multiply the values

[tex] \small \sf \mapsto \: Volume = 2 \: ft {}^{3} [/tex]

Hence, the volume of container is 2 ft ³.

Step-by-step explanation:

a. (0.60x + 0.70y)- 50 = 10

<=> 0.60x + 0.70y = 60

b. (x+y) = 5(x-y)

x+y=5x-5y

<=> 4x - 6y = 0

[tex]<marquee>Give:/u Name[/tex]

Answer:

36 pi

Step-by-step explanation:

The radius is 6

A = pi r^2

A = pi 36

Answer:

Area of circle = 36 π square unit

Step-by-step explanation:

To calculate area of circle simplify formula area of circle . we have given radius of circle which is 6.

Area of circle = π × r²

where,

substitute the value

Area of circle = π × ( 6 ) ²

expand the exponent

Area of circle = π × 36

multiply

Area of circle = 36 π square unit

Answer:

[tex]18 + 18 + 18 = 18 \times 3 = 54[/tex]

Step-by-step explanation:

I ain't sure but it might help you out:D

Answer:

140.3 cm²

Step-by-step explanation:

area of an equilateral triangle

[tex] = \frac{\sqrt{3} }{4} {a}^{2} [/tex]

where a is the side of the triangle

[tex] = \frac{ \sqrt{3} }{4} \times {18}^{2} \\ = 140.3 \: cm {}^{2} [/tex]

Answer:

For a single digit in base 8, we need up to three digits in base 2. For two digits in base 8, we need 4, 5, or 6 digits in base 2. For three digits in base 8, we need 7, 8, or 9 digits in base 2.

Step-by-step explanation:

Answer:

Base = 2

Step-by-step explanation:

2⁸

Here 2 is the base and 8 is the exponent

Answer:

The measure of each angle will be 7 degrees. It is because a bisector divides an angle in two equal halves. 14 / 2 = 7

Answer:

Have you got it now?

Step-by-step explanation:

Answer:

Evaluate the expression below when x = 4 and y = -2 *

hii your question is incomplete

can you please recheck once

there is no expression given

Given:

The equation of a line is:

[tex]y=5x+1[/tex]

A line is parallel to the given line and passes through the point (3,-4).

To find:

The equation of the line in the slope intercept form.

Solution:

The slope intercept form of a line is:

[tex]y=mx+b[/tex]             ...(i)

Where, m is the slope and b is the y-intercept of the line.

We have,

[tex]y=5x+1[/tex]                ...(ii)

On comparing (i) and (ii), we get

[tex]m=5[/tex]

Slope of the given line is 5.

We know that the slopes of parallel lines are equal. So, the slope of the required line is 5.

The required line passes through the point (3,-4) with slope 5. So, the equation of the required line is:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-(-4)=5(x-3)[/tex]

[tex]y+4=5(x)+5(-3)[/tex]

[tex]y+4=5x-15[/tex]

Subtracting 4 from both sides, we get

[tex]y+4-4=5x-15-4[/tex]

[tex]y=5x-19[/tex]

Therefore, the equation of the required line is [tex]y=5x-19[/tex].

Answer:

[tex]192.27\:\mathrm{cm^2}[/tex]

Step-by-step explanation:

The area of sector with radius [tex]r[/tex] and measure [tex]\theta[/tex] is give by [tex]A=r^2\pi\cdot \frac{\theta}{360^{\circ}}[/tex]. Since vertical angles are congruent, the two shaded sectors in the figure are congruent.

What we're given:

Therefore, the area of the shaded regions (two sectors) is:

[tex]A=2\cdot 9^2\pi\cdot \frac{136}{360}=192.2654704\approx \boxed{192.27\:\mathrm{cm^2}}[/tex]

Answer:

positive slope

Step-by-step explanation:

when a graph is sloping to the right it means it has a positive . the gradient of this straight is positive .

gradient of the line is greater than 0

The slope of the line is m = 2

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 1 , 3 )

Let the second point be Q ( 0 , 1 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 3 - 1 ) / ( 1 - 0 )

m = 2

Therefore , the value of m is 2

Hence , the slope is 2

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ7

Answer:

11/10°C

Step-by-step explanation:

7 x 3/10 = 21/10

Temperature at midnight = -1°C

Temperature at 7.00 am = 21/10°C -1°C = 11/10°C

Answer:

1.1°C

Step-by-step explanation:

Assuming we are starting at midnight, we know that at midnight it is -1°C. We want to find the temperature at 7:00 AM. Or 7 hours later than midnight. The question says that every hour the temperature rises by 3/10°C. In 7 hours, we need to multiply 3/10*7=21/10=2.1 °C. So, it rises by 2.1 °C. Next add that to the -1 from midnight. Do 2.1+-1=1.1 °C.

Hope this helps!

Step-by-step explanation:

the distance between these two points is 11 units

Answer:

B

Step-by-step explanation:

Other answers look like utter bs

Answer:

not defined

Step-by-step explanation:

[tex] {x}^{2} = 56 - 2000 - 15637 \\ {x}^{2} = - 1758[/tex]

Answer:

angle MPN = 79°

angle MPQ = 101°

Answer:0.04

Step-by-step explanation:

Answer:

0.04 meters

It's too simple

Answer:

22/33and 14/21

1/3

mark as brainiest please