a quadratic patterns has a second term equal to 1,a third term equal to -6 and fifth term equal to -14 .hence or otherwise calculate the first term of the pattern​

Answer:

(5 x 10^3) (9 x 10^7) = 5 × 9 × 10^3 × 10^7 = 45 × 10^10

Answer:

x=-2 and y =0

Step-by-step explanation:

2x + 3y=-4

y=2x + 4

2x -y = -4

4y= 0

y = 0

2x -0=-4

2x =-4

x=-2

Answer:

3) Obtuse

4) Right

Step-by-step explanation:

3)

11 + 13 > 25 It is a triangle

11² + 13² = 25²

121 + 169 = 625

290 ≠ 625

Since hypotenuse is larger, the triangle is obtuse

4)

21 + 28 > 35 It is a triangle

21² + 28² = 35²

441 + 784 = 1225

1225 = 1225

Since the hypotenuse is equal to the legs, it's a Right triangle

Answer:

[tex]x = \frac{3}{2} [/tex]

Step-by-step explanation:

[tex] \frac{x + 6}{x + 1} = \frac{6}{2} [/tex]

[tex] \frac{6}{2} = 3[/tex]

so, the solution of the equation will be as follows:

[tex] \frac{x + 6}{x + 1} = 3[/tex]

3(x+1) = x + 6

3x + 3 = x + 6

3x - x = 6 - 3

[tex]x = \frac{3}{2} [/tex]

so, the answer will be x = 3/2

Answer:

The equation of the form P(n) is:

P(n)=-0.002n+75

Step-by-step explanation:

From the information provided, you have two points: (3000, 69) and (7000, 61). With this, you can find the slope using the following formula:

m=(p1-p2)/(n1-n2)

m=slope

p1=69

p2=61

n1=3000

n2=7000

m=(69-61)/(3000-7000)

m=8/-4000

m=-0.002

Now that you have the slope, you can find the the equation of the form P(n):

P(n)=-0.002(n-3000)+69

P(n)=-0.002n+6+69

P(n)=-0.002n+75

According to this, the answer is that the equation of the form P(n) is:

P(n)=-0.002n+75

I will do 9 only. You can do 11.

Question 9

sin(60) = x/8

sin(60)(8) = x

4•sqrt{3} = x

x^2 + y^2 = 8^2

(4•sqrt{3})^2 + y^2 = 64

16(3) + y^2 = 64

48 + y^2 = 64

y^2 = 64 - 48

y^2 = 16

sqrt{y^2} = sqrt{16}

y = 4

Do 11 the same way.

Answer:

Don't take my word for it because I havent dont this in a while but I believe it is the top right

Answer:

It definitely is linear, and it is a straight line

Step-by-step explanation:

Try using desmos, it may help

Answer:

A) it is linear and it is a straight line

Step-by-step explanation:

it is a linear equation. It will be straight

y=mx+b is linear

Here is your system of equations in two variables.

Equation for Erin:

4x + 6y = 19.32

Equation for Adam:

3x + 5y = 15.67

That's it.

Answer:

The answer is x= 7/30

Answer:

-60

Explanation:

6x(2x-5) always do what's in the parentheses first

6x(-10)

= -60

Answer:

Note that it is not a perfectly elastic result so it is irrational

Answer: 803mm

Step-by-step explanation:

Answer:

8 1/12 boxes

Step-by-step explanation:

Your first step to solve this problem is to convert those fractions to a common denominator. I would choose 12. So your first would be 4 4/12 and your second would be 3 9/12. You would then add those up and get 8 1/12 boxes of muffins bought at the bake sale.

Answer:

128

Step-by-step explanation:

becuase 7-8 he sold 2

8-9 he sold 8

9-10 he sold 32

4*2= 8

4*2=32

4*32=128

Answer:

-3,3 this is because that is where both of the lines intersect making them both a solution for both equations.

Step-by-step explanation:

Answer:

B. (-3, 3)

Step-by-step explanation:

Point of intersection of both the lines is the solution to both the equations.

Both the lines are intersecting each other at point (-3, 3)

So, ordered pair of solution is (-3, 3)

Answer:

31 in

Step-by-step explanation:

Answer:

The volume of the figure shown below is 31 inches

Step-by-step explanation:

Just trust me ;)

Answer:

D and E

Step-by-step explanation:

3(23+18)=123

6(18)=108.  6(19)=114.  6(20)=120.  6(22)=132.  6(24)=144

Answer:

25 questions,

$18.75

Step-by-step explanation:

Remember, to change percents to decimals, divide the number by 100 and remove the parentheses.

1. 84%, or 21 questions of Roy's test were correct.

Let's set the number of questions on the test as "x". We can then write this equation:

84% * x = 21

Simplify.

0.84 * x = 21

Divide both sides by 0.84

x = 25

There were 25 questions on the test.

2. Cheesecake Factory question

We need to find 15% of 125.

15% * 125 =

0.15 * 125 =

18.75

They need to leave a $18.75 tip.

I hope this helps! Feel free to ask any questions!

Answer: £188

Step-by-step explanation:

Given

The depth of the hole is 80 m

For the first meter, it is £30

After that, it is £2 per meter

after a meter, it is 79 m more

The total cost is C

[tex]\Rightarrow C=30+2\times 79\\\Rightarrow C=30+158=188[/tex]

Answer:

2

Step-by-step explanation:

The two x's end up being -4 and 6, so added together that's 2

For adding variables we use the coefficient as 1 if there is no number infront of variable.

An expression is combination of variables, numbers and operators.

A coefficient is a multiplicative factor in some term of a polynomial, a series, or an expression; it is usually a number, but may be any expression.

Let us consider a algebraic expression

ax+by+z=0

In the given expression a, b are coefficients of x and y respectively.

We use coefficient as one when there is no number before a variable because when we add variables there should be some number before varibales. So we consider 1 as coefficient for those variables which does not have any coefficient.

Hence, for adding variables we use the coefficient as 1 if there is no number infront of variable.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ2

Answer:

type of music students prefer. How would the manager most likely get a random sample

that represents the school population?

Step-by-step explanation:

I may or may not have given my explanation in my answer 0.0

Answer:

8

Step-by-step explanation:

y = (10x^2 + 3x^4)/ 2x^2

where x is not equal to 0

(20x + 12x)/4x

32x / 4x

= 8

Answer:

The median resistance of the wire is not small than 0,15 Ω at 0,05 of level of significance

Step-by-step explanation:

From data we get    x ( sample mean ) s  ( sample standard deviation) and n size of the sample

0.148 0.147 0.151 0.146 0.151 0.148 0.147 0.152

0.151 0.148 0.149 0.147 0.146 0.149 0.151 0.147

n = 16

x ≈ 0,1487

s = 0,00193

Test Hypothesis

1.-Null Hypothesis               H₀                x  =  μ₀  = 0,15

Alternative Hypothesis  Hₐ                 x < 0,15

We assume data follows normal distribution

as n = 16 we should use a t-student table

As the question is : "Is the median resistance less than 0,15 0hm " we must use  one-tail-test ( to the left)

Then:

2.-Significance level  α = 5 %      α = 0,05

degree of freedom   n = 16     df = n - 1    df = 15

From t-table we find t(c) = 1,7531      at the left is t(c) = - 1,7531

3.-t(s) = ( x - 0,15 ) / s / √n

t(s) = 0,1487 - 0,15 / 0,00193/√16

t(s) = - 0,0013 * 4 / 0,00193

t(s) = - 2,69

4.- Comparing t(s) and t(c)  

|t(s) | > |t(c)|       2,69 > 1,753

Then t(s) is in the rejection region

5.- We reject H₀  . At 95 % of confidence Interval

Answer:

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

Step-by-step explanation:

Answer:

≈ 53.7° (Option 3)

Step-by-step explanation:

In the figure given above , the lengths of other two sides (excluding hypotenuse) are known to us. So , it would be convenient to use 'tan'.

Length of side opposite to angle 'x' = 15 cm

Length of side adjacent to angle 'x' = 11 cm

Using 'tan' formula - [tex]\tan x = \frac{Side \: opposite \: to \: x}{Side \: adjacent \: to \: x}[/tex] , lets solve this.

[tex]=> \tan x = \frac{15}{11}[/tex]

Using inverse tan function , lets find x.

[tex]=> x = {\tan}^{-1}(\frac{15}{11} )[/tex] ≈ 53.74°