Sophie measured a line to be 16.6 inches long. If the actual length of the line is 15.5 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?

Answer:

The constant factor between consecutive terms of a geometric sequence is called the common ratio. Example:  To find the common ratio  find the ratio between a term and the term preceding it. r=42=2. 2 is the common ratio.

Answer:

a. y = 3^x

yep

ype

pey

Answer:

a

Step-by-step explanation:

plug the points into the equations

3¹=3

3²=9

3³=27

3⁴=81

3⁵=243

these are all true equations, so the answer is a

Answer:

4 and 5

Step-by-step explanation:

Let's make an equation to solve. Let's call "one number" x. Another number is 1 more than x, so now we have x + 1. x plus x + 1 is equal to 9... and this gives us our equation:

x + (x + 1) = 9

We can now simplify by adding like terms together:

2x + 1 = 9

Now, let's take away 1 from both sides:

2x = 8

We can finally divide both sides by 2 to isolate x:

x = 4

One of our numbers is 4. Our other number is one more than 4, and 4 + 1 = 5. So our numbers are 4 and 5.

Hopefully this was helpful! If you need more help, let me know.

Answer:

It is 23

Step-by-step

23 becaauae if you use x and -2 its bets 23

Answer:

-3+-8+9+4= 2

Hope this helps.

Answer:

The value is positive 2

Step-by-step explanation:

(-3)+(-8)=(-11)

9+4=13

(-11)+ 13=2

Answer:

904.8 m²

Step-by-step explanation:

needed formulas:

surface of a circle: πr²

circumference of a circle: 2πr

The top and bottom are circles with radius 9, and surface π9² = 81π m²

The side is a rectangle of 2·π·9·7 long, so that is 126π m²

Brings the total to 81π + 81π + 126π = 288π ≈ 904.8 m²

Answer:

A = 103°; B = 77°; C = 46°

Step-by-step explanation:

A + 45° + 32° = 180°

A + 77° = 180°

A = 180° - 77°

A = 103°

A + B = 180°

103° + B = 180°

B = 180° - 103°

B = 77°

B + C + 57° = 180°

77° + 57° + C = 180°

134° + C = 180°

C = 180° - 134°

C = 46°

I hope I've helped you.

Answer:

[tex]\boxed{\boxed{\sf 3(x+8y)}}[/tex]

Step-by-step explanation:

[tex]\sf 3x+24y[/tex]

Factor out the GCF( Write GFC first, then, in parentheses divide each term by the GCF).

GCF: → 3

[tex]\leadsto\sf \textsf{\:}3\left(\cfrac{3x}{3}\:+\cfrac{24y}{3}\right)[/tex]

Simplify each term in parentheses:

[tex]\leadsto\sf 3(x+8y)[/tex]

_______________________________________

Answer:

A. 3(x+8y)

Step-by-step explanation:

Just did it

The mass of Carbon-14 left according to the decay model after 9088 years will be; 5.3229 grams

The decay model is given as;

Therefore, after 9088 years; in which case; t = 9088.

The amount of Carbon-14 that will be present is;

Read more:

https://brainly.com/question/24305651

Answer: 6

Step-by-step explanation: Gets x by itself.

Answer:

36

Step-by-step explanation:

First, just multiply 90 by 1/3. 90 is equal to 90/1 as any number divided by 1 is still equal to itself.

[tex]\frac{90}{1}*\frac{1}{3}=\frac{90*1}{1*3}=\frac{90}{3}[/tex]

Now, 90/3 is just 90 ÷ 3.

[tex]90 \div 3 = 30[/tex]

Finally, just add 6 to it.

[tex]30+6=36[/tex]

Answer:

36

Step-by-step explanation:

1/3 of 90 is 30

6 more is 30+6=36

Answer:

b

Step-by-step explanation:

b is correct

Answer:

Option 1

Step-by-step explanation:

∠EGB ≅ ∠EHD    {Corresponding angles

∵ ∠AGF ≅∠EHD   {transitive equality property}

Step-by-step explanation:

[tex] \frac{4.8}{1 \frac{7}{9} } = (1.2b) \div 6 \frac{2}{3} [/tex]

[tex] \frac{ \frac{48}{10} }{ \frac{16}{9} } = \frac{12b}{10} \div \frac{20}{3} [/tex]

[tex] \frac{48 \times 9}{10 \times 16} = \frac{12b}{10} \times \frac{3}{20} [/tex]

[tex] \frac{432}{160} = \frac{36b}{200} [/tex]

[tex]432 \times 200 = 160 \times 36b[/tex]

[tex]86400 = 5760b[/tex]

[tex]b = \frac{86400}{5760} [/tex]

[tex]b = 15[/tex]

Answer:

Having soup and salad for lunch are independent events because P(A/B)=P(A) and P(B/A) = P(B)

Step-by-step explanation:

Answer: 72

Step-by-step explanation:

i took the k12 test

An ellipse has the general equation

(x/a)² + (y/b)² = 1

(actually, this is an ellipse whose semimajor and -minor axes are parallel to the x- and y-axes, but one can rotate any ellipse so that it has the same configuration, and the area remains constant)

Convert to a kind of rescaled polar coordinates, using

x = a r cos(t)

y = b r sin(t)

Then the interior of such an ellipse is the set

E = {(r, t) : 0 ≤ r ≤ 1 and 0 ≤ t ≤ 2π}

The area of E is then given by the integral

[tex]\displaystyle \iint_E dA[/tex]

Compute the Jacobian determinant for this change of coordinates. The Jacobian is

[tex]J = \begin{bmatrix}x_r & x_t \\ y_r & y_t\end{bmatrix} = \begin{bmatrix}a \cos(t) & -a r \sin(t) \\ b \sin(t) & b r \cos(t)\end{bmatrix}[/tex]

Then we have Jacobian determinant

|det(J)| = |a b r cos²(t) + a b r sin²(t)| = |a b r| = |a b| r

since r ≥ 0.

The area of E is then

[tex]\displaystyle \iint_E dA = \iint_E |ab| r \, dr \, dt[/tex]

[tex]\displaystyle \iint_E dA = \int_0^{2\pi} \int_0^1 |ab| r \, dr \, dt[/tex]

[tex]\displaystyle \iint_E dA = 2\pi |ab| \int_0^1 r \, dr[/tex]

[tex]\displaystyle \iint_E dA = \boxed{\pi |ab|}[/tex]

Answer:

in half of the baskets

Step-by-step explanation:

half of 40 baskets is 20 baskets

Answer:

(x² - y² - 3xy) + (7xy + 3x²) = 4x² - y² + 4xy

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

(x² - y² - 3xy) + (7xy + 3x²)

Step 2: Simplify

Answer:

4x^2-y^2+4xy

Step-by-step explanation:

Just combine like terms and do not forget that your adding the set of parentheses together.

x^2+3x^2

-y^2

-3xy+7xy

Answer:

Yes it is linear. Standard Form: 4x - y = -9

Step-by-step explanation:

Answer:

jsbnsjzskjusjjw.3334883!"!$+%-$+$9

Answer:

Slope = - 3

Step-by-step explanation:

Formula : -

Slope = ( y2 - y1 ) / ( x2 - x1 )

( x1, y1 ) = ( - 1, 4 )

Here,

x1 = - 1

y1 = 4

( x2, y2 ) = ( 1, - 2 )

Here,

x2 = 1

y2 = - 2

Slope = ( - 2 - 4 ) / ( 1 - ( - 1 ) )

= - 6 / ( 1 + 1

= - 6 / 2

Slope = - 3

Therefore,

The slope of the line through ( - 1, 4 ) and ( 1, - 2 )

is - 3.

Answer:

use your protractor if you had one you can find the measurement of the angle ABD .

Answer:

So, we have the equation:

[tex]y=x^3-x^2-9x+9[/tex]

Usually, we have to do trial-by-error methods like using the Rational Root Theorem to factor cubic polynomials. However, while this may seem like a complicated cubic equation to factor, it has a simple trick to make it much easier!

We can actually factor this polynomial through Factoring by Grouping. With this method, we can factor a cubic polynomial. We split the equation into two parts, like this:

[tex]y=x^3-x^2-9x+9[/tex]

[tex]y=(x^3-x^2)+(-9x+9)[/tex]

Which can be simplified to:

[tex]y=(x^2)(x-1)+(-9)(x-1)[/tex]

We took out a factor of x^2 for the first term and a negative 9 for the second term. As we can see, we now have two terms that are the same:

(x - 1)

We can factor out the (x - 1) like this:

[tex]y=(x^2)(x-1)+(-9)(x-1)[/tex]

[tex]y=(x-1)(x^2-9)[/tex]

Now, this is not the most simplified form. See the x^2-9 term? We can use the Difference of Squares.

In general:

[tex]a^2-b^2=(a-b)(a+b)[/tex]

We have the expression:

[tex](x^2-9)=(x^2-3^2)[/tex]

[tex](x^2-3^2)=(x-3)(x+3)[/tex]

Therefore:

[tex]y=(x-1)(x^2-9)[/tex]

[tex]y=(x-1)(x-3)(x+3)[/tex]

Our fully factored form for y=x^3-x^2-9x+9 is:

[tex]y=(x-1)(x-3)(x+3)[/tex]

Step-by-step explanation:

what do we need to do ? find the 0 solutions for x ?

if that is the case, let's just do all the multiplication first :

(3/2)² × (2/3)⁴x² = x

9/4 × 16/81 x² = x

4/9 x² = x

4/9 x² - x = 0

4x² - 9x = 0

x × (4x - 9) = 0

so, one solution is obviously x = 0.

the second solution is

4x - 9 = 0

4x = 9

x = 9/4