1. Find the mean, median, mode and range of the following numbers:
19, 24, 22, 19, 17, 15, 16, 17

Answer:

[tex]x=\sqrt{26}-4,\:x=-\sqrt{26}-4[/tex]

Step-by-step explanation:

[tex]x^2+8x=10[/tex]

Write this equation in the form of: [tex]x^2+2ax+a^2=\left(x+a\right)^2[/tex]

Solve for a:

[tex]2ax=8x[/tex]

[tex]\frac{2ax}{2x}=\frac{8x}{2x}[/tex]

[tex]a=4[/tex]

Add [tex]a^2=4^2[/tex] to both sides:

[tex]x^2+8x+4^2=10+4^2[/tex]

[tex]\left(x+4\right)^2=26[/tex]

[tex]x+4=\sqrt{26}[/tex]

[tex]x+4-4=\sqrt{26}-4[/tex]

[tex]x=\sqrt{26}-4[/tex]

[tex]x+4=-\sqrt{26}[/tex]

[tex]x+4-4=-\sqrt{26}-4[/tex]

[tex]x=-\sqrt{26}-4[/tex]

Answer:

a. Distribute –4 to get –8x + 4 > 5 – 3x

Step-by-step explanation:

Correct first step is:

a. Distribute –4 to get –8x + 4 > 5 – 3x

The first step to solve the given expression is to distribute -4 over 2x and -1 to get –8x + 4 > 5 – 3x

Inequality are expressions not separated by an equal sign. Given the inequality;

–4(2x – 1) > 5 – 3x

The first step to solve the given expression is to distribute -4 over 2x and -1 to get –8x + 4 > 5 – 3x

Learn more on inequality here: https://brainly.com/question/24372553

#SPJ6

Answer:

Length of shed is 7 yards

Step-by-step explanation:

Mathematically the volume of the shed is the area of the base * height

Area of the base = length * width

let the length be x

Thus, the area of the base = x * 7 = 7x

Now, 7x * 3 = 147

21x = 147

x = 147/21

x = 7 yards

Answer:

Option C on E2020

Step-by-step explanation:

just finished the test

Answer:

C

Step-by-step explanation:

Answer:

41 degrees

Step-by-step explanation:

Here in this question , we are interested in calculating the value of angle x.

Firstly, we shall be needing a diagrammatic representation, please check attachment for this.

We are interested in calculating angle x, which represents the angle facing the opposite. The other third side that we have is referred to as the adjacent.

The trigonometric ratio to use here is thus called the tangent.

Mathematically the tangent of an angle = length of the opposite/length of the adjacent

The value 5.6 is our opposite since it faces the angle while the length 6.5 is the adjacent.

Thus;

tan x = 5.6/6.5

tan x = 0.8615

x = arc tan 0.8615

x = 40.75 degrees which is 41 degrees to the nearest degree

Answer:

41

Step-by-step explanation:

tan  −1  (  6.5 /  5.6  )  =  40.746 = 41

Answer:

6

Step-by-step explanation:

Okay so the shape has an area of 60 square inches. The formula for the area of a triangle is A = b*h where A = area, b = base, and h = height

So we are given the value for A (60)

We are given the value for height (10)

So we just need to find the value of the base

So let's set this up as an equation. Input the given values into the area for triangle formula

A = B*h

60 = B * 10

So we need to solve for B. To do that we need to get B alone on one side of the = sign. B is being multiplied by 10 so do the opposite and divide both sides by 10

60 divided by 10 = 6

10 divided by 10 = 1 (don't actually put a 1 down, just drop it)

So we are left with

6 = B

So the base is 6 square inches. To test, put it in the equation:

A = B*h

60 = 6*10

60 = 60

Answer:

-12C

Step-by-step explanation:

Simply take 22 and subtract it by 34.

solution

or, 2 x + y = 5 y - 8 being opposite side of

parallelogram

or , 2x =5 y - y - 8

or, 2x = 4 y - 8

or, x = 4y - 8/2

or,. x = 2y- 4

therefore, 2x + y is equal to 5 y - 8 Being the opposite side of a parallelogram

now,

3y + 2 x is equal to 4x - 3 being opposite side of a parallelogram

or, 3y + 2 x-4x = -3

or,. 3y -2x = -3

Answer:

Tank B

Step-by-step explanation:

To be proportional it must go through the origin, (0,0), And have a constant slope. Tank B follows this

Answer:

On the circle

Step-by-step explanation:

Graph it

Answer:

On the circle.

Step-by-step explanation:

I recommend using a visual.

Answer:

y = x +2

Step-by-step explanation:

4y=4x+8​

Slope intercept form is

y = mx+b so we need to solve for y

Divide each side by 4

4y/4 = 4x/4 +8/4

y = x +2

The slope is 1 and the y intercept is 2

Answer:

x = 38.7

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opposite/ adjacent

tan x = 8/10

Take the inverse tan of each side

tan ^-1 ( tan x) = tan ^-1 (8/10)

x = tan ^-1 (8/10)

x =38.65980825

To the nearest tenth

x = 38.7

Answer:

38.7

Step-by-step explanation:

Answer:

Sum of the first 3 terms is 9245

See explanation below

Step-by-step explanation:

The question is not clear. From the question we can tell we are to determine the sum of the first 3 terms of a geometric series. I would show you how to calculate sum of n terms given first term and common ratio.

Let's consider the question below.

Given that the first term is 15 and the common ratio is 6, find the first 3 terms

Solution:

Sum of geometric series has two formulas: one is for common ratio(r) > 1 and the other is for common ratio (r) < 1

Since the r in the question is > 1. We would apply the formular that applies to it.

Sum of the first 3 terms is 9245

See attachment for detail

Answer:

R=T

Step-by-step explanation:

We could say that the same symbol = makes it look like a true statement.

We could say that the same symbol makes us see a true statement.

In this case we are showing that R corresponds to T therefore it is true or confirmed, regardless of the value that R has.

Answer: Think it is -3/5

Step-by-step explanation:

6-5(x)=9

6-5(-3/5)=9

6+3=9

9=9

Answer:

Equation:

5x - 6 = 9

Answer:

x = 3

Step-by-step explanation:

Let's break this down:

When six is subtracted from five times a number, the result is 9

"five times a number" simply means a variable, such as x, is being multiplied by 5

five times a number: 5x

Next step:

When six is subtracted from five times a number, the result is 9

"six is subtracted from" means 6 is being taken away from whatever comes next, in this case, '5x'

six is subtracted from: - 6

Final section:

When six is subtracted from five times a number, the result is 9

"the result is 9" means the entire equation equals nine

the result is nine: = 9

Put it all together:

5x - 6 = 9

Solve:

5x - 6 = 9

     +6  +6

5x = 15

/5     /5

x = 3

Therefore, the value of x is three.

Answer:

1) 28m West 2)70km below sea level

Answer:

[tex]\frac{5\sqrt{6} +35}{43}[/tex]

Step-by-step explanation:

Step 1: Multiply by conjugate

5/(7 - √6) x (7 + √6)/(7 + √6)

5(7 + √6)/43

Step 2: Distribute

(35 + 5√6)/43

Answer: 87

Step-by-step explanation:

If it is the 165th person each day

7303/165 =  44.26 ( so 44 free admissions on Saturday)

7126/165 = 43.19 (so 43 free admissions on Sunday)

87 free admissions over the two days

If 165th person where it can carry over from day to day

(7303 + 7126)/165 = 87.49

87 free admissions over the two days

Same answer this time, but could be different in a diferent problem.

Answer:

117 pounds

Step-by-step explanation:

the ratio is given:

4 : 5

Colin : Dan

Simplest way to solve:

4x = 52

x = 52/4 = 13

now, x is one part of the share.

There are 9 total parts:

9 x 13 = 117.

Hope this helps

Answer:

The sine of cx in the triangle is the opposite side/the hypotenuse

sin(cx) = 7/25

sin(cx) = 0.28

cx = sin^-1 (0.28)

cx = 16.26 degrees

Answer:

x=11/31

Step-by-step explanation:

HMU if u need the work shown

Answer:

x = 87

Step-by-step explanation:

the ratio SR / RV is equal the ratio ST / TU (both ratios are equal to 1), and the angle in the vertex S is the same for both triangles SUV and STR, so we can affirm that these triangles are similar (case S-A-S).

Then, we have that the ratio SR / SV is the same as RT / UV:

SR / SV = RT / UV = 1 / 2

RT * 2 = UV

2*(x - 37) = x + 13

2x - 74 = x + 13

x = 87

Answer:

Area = l x w

Area = (x + 1)(x + 7)

Area = x² + 7x + x + 7

Area = x² + 8x + 7

Step-by-step explanation:

Answer:

[tex]2x-16/5[/tex]

Step-by-step explanation:

[tex]2x+14-18+0.8[/tex]

[tex]2x-3.2[/tex]

Answer:

2x + 16/5

Step-by-step explanation:

= 2x + 14 - `18 + 4/5

= 2x + 4 + 4/5

= 2x + 16/5

Hope this helps!

Solution,

5n^3+4n^2-9+(-2n^3+7n-5)

= 5n^3+4n^2-9-2n^3+7n-5.

Combine the like terms,

=5n^3-2n^3+4n^2+7n-9-5

=3n^3+4n^2+7n-14

hope it helps

Good luck on your assignment

Answer:

[tex] = 3 {n}^{3} + 4 {n}^{2} + 7n - 14 \\ [/tex]

Step-by-step explanation:

[tex]5 {n}^{3} + 4{n}^{2} - 9 + ( - 2 {n}^{3} + 7n - 5) \\ 5 {n}^{3} + 4 {n}^{2} - 9 - 2 {n}^{3} + 7n - 5 \\ = 3 {n}^{3} + 4 {n}^{2} + 7n - 14[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Step-by-step explanation:

what kind of graph

Answer:

A) this function has vertical asymptotes at an interval of π.

1/2 cosecx is the answer

Step-by-step explanation:

EDGE2020

Answer:

Step 3  they took the square root incorrectly

Step-by-step explanation:

5 ( x-2)^2 +6 = 86

Subtract 6 from each side

5 ( x-2)^2 +6 -6= 86-6

5 ( x-2)^2  = 80

Divide each side by 5

5 ( x-2)^2  /5 = 80/5

(x-2)^2 = 16

Take the square root of each side

sqrt((x-2)^2)  = ±sqrt(16)

x-2 = ±4

Answer: 20 over 7 units

Step-by-step explanation:

Answer:

No other given point lie on the same graph

Step-by-step explanation:

Equation : [tex]y =(x +8)^2+k[/tex]

We are given that The point (-4,7) lies on the graph of [tex]y =(x +8)^2+k.[/tex]

So, Point(-4,7) satisfies the given equation

So,[tex]7=(-4+8)^2+k[/tex]

7=16+k

-9=k

So, The equation is [tex]y =(x +8)^2-9[/tex]

Now substitute the given points

(12,4)

[tex]4=(12+8)^2-9[/tex]

4=400-9

[tex]4\neq 391[/tex]

So,(12,4) not lies on the graph

(-5,72)

[tex]72=(-5+8)^2-9[/tex]

72=9-9

[tex]72\neq 0[/tex]

So,(12,4) not lies on the graph

(5,72)

[tex]72=(5+8)^2-9[/tex]

72=169-9

[tex]72\neq 160[/tex]

So,(12,4) not lies on the graph

(4,12)

[tex]12=(4+8)^2-9[/tex]

12=144-9

[tex]12\neq 135[/tex]

So,(12,4) not lies on the graph

So, No other given point lie on the same graph

Answer:

18,72

Step-by-step explanation:

Complementary angles add to 90 degrees

Multiply the ratio by x

1x+4x = 90

Combine like terms

5x = 90

divide by 5

5x/5 = 90/5

x =18

The first angle is 18 degrees

4*18 =72

The second angle is 72 degrees