Kim is creating a mosaic in her garden. She finds the tile below and wants to know the missing side length ‘x’. Calculate the missing side length to a reasonable level of accuracy, explain your decision.

Answer:

The amount of metal recovered at the eight pass is approximately 4.27 kg

Step-by-step explanation:

The mass of metal recovered formed the following geometric sequence;

32 kg, 24 kg, 18 kg, 13.5 kg

∴ The first term, a = 32 kg

The common ratio in the geometric sequence is found as follows;

r = a·r/a = 24 kg/(32 kg) = 0.75

r = a·r²/a·r = 18 kg/(24 kg) = 0.75

r = a·r³/a·r² = 13.5 kg/(18 kg) = 0.75

The mass of the metal recovered in the eight pass will be the 8th term of the geometric series given as follows;

nth term = a·rⁿ⁻¹

a = 32, r = 0.75, n = 8

∴ 8th term = 32·(0.75)⁸⁻¹ = 32·0.75⁷ = 2187/512 ≈ 4.27

The amount of metal recovered at the eight pass ≈ 4.27 kg.

The eight term of the geometric sequence is 4.27.

A geometric sequence is in the form:

aₙ = ar⁽ⁿ⁻¹⁾

where aₙ is the nth term, a is the first term and r is the common difference.

Given that a = 32, r = 24/32 = 0.75

The eight term is a₈ = 32(0.75)⁸⁻¹ = 4.27

The eight term of the geometric sequence is 4.27.

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Answer:

8

Step-by-step explanation:

1 video game = 9

? = 72

72/9=8

Answer:

8

Step-by-step explanation:

Answer:

y-intercept is (0, 3)

Step-by-step explanation:

To find the y-intercept, substitute in 0 for x and solve for y.

Step-by-step explanation

the third one

Step-by-step explanation:

Let's solve for y.

8x−3y>11

Step 1: Add -8x to both sides.

8x−3y+−8x>11 −8x −3y>−8x+11

Step 2: Divide both sides by -3.

−3y/−3 > −8x+11/−3

y<8/3x−11/3

Answer:

y<8/3x−11/3

Answer:

2

Step-by-step explanation:

Answer:

reflection is defined as the change in the direction of a wavefront at the interface between two different media, bouncing the wavefront back into the original medium. A common example of reflection is reflected light from a mirror or a still pool of water, but reflection affects other types of waves beside light.

Step-by-step explanation:

Answer:

I think it's help uu

Step-by-step explanation:

if wrong then sry

Answer: 1st circle 0.42n

Step-by-step explanation:

Answer:

p=0.42n

Step-by-step explanation:

Im not sure but if you do 2.52 divided by 6 you get 0.42 so my answer is A (p=0.42n)

Answer:

x > -5

Step-by-step explanation:

-3x > 15

divide by -3

x > -5

Answer: x<-5

Step-by-step explanation:

First, we must isolate x in order to graph the inequality properly. To solve for x, you must divide each side by -3. Because you are dividing by a negative number, you must switch the side around. So, the inequality would be [tex]x<-5[/tex]t.To graph this, you must put a veritcal dotted line (since the equation has a less than symbol) and shade to the left (this shows all  the possiblilties of what x could be. Or, if you were to graph it on a number line, put an open circle on -5 and draw an arrow left from the dot.  Hope this helps!

Answer: The answer is the 3rd one

Step-by-step explanation:

9514 1404 393

Answer:

  (d)  AE = (32√6)/3

Step-by-step explanation:

The side length ratios in a 30-60-90 triangle are 1 : √3 : 2. In a 45-45-90 triangle, they are 1 : 1 : √2.

So, we have the side length ratios ...

  CE : CD = 2 : √3

  BE : CE = √2 : 1

  AE : BE = 2 : √3

Then the ratio AE : CE is ...

  [tex]\dfrac{AE}{CD}=\dfrac{2}{\sqrt{3}}\cdot\dfrac{\sqrt{2}}{1}\cdot\dfrac{2}{\sqrt{3}}=\dfrac{4\sqrt{2}}{3}[/tex]

Multiplying by the length of CD, we have ...

  AE = (8√3)(4√2)/3

  AE = (32√6)/3 . . . . . matches the last choice

Answer:

15 square feet

Step-by-step explanation:

Answer:

c. 155

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

I took the test. Im sorry for the late response.

Answer:

It should be y=4x-7

Step-by-step explanation:

M is the slope meaning Δx over Δy or rise over run

So if you look at (2,2) and count up to (3,6) the rise is 4 and the run is 1 meaning the slope is 4.

B is the y- intercept so then it would just be -7.

9514 1404 393Answer:

  y=4x-6

Step-by-step explanation:

The line intersects the y-axis at y=-6, so that is the value of 'b' in the slope-intercept form.

The horizontal difference between marked points is 1 unit; the vertical difference is 4 units. That means the slope is . . .

  m = rise/run = 4/1 = 4

Filling in these values (m=4, b=-6), we get ...

  y = 4x -6

Answer:

D.

Step-by-step explanation:

[tex]y = 3x \\ \frac{y}{3} = x \\ \\ \frac{3y}{3} + 2y = 45 \\ y + 2y = 45 \\ 3y = 45 \\ y = \frac{45}{3} \\ y = 15 \\ \\ x = \frac{y}{3} \\ = \frac{15}{3} \\ = 5[/tex]

Answer:

600 cubic units.

Step-by-step explanation:

The formula for a rectangular pyramid is[tex]V=\frac{lwh}{3}[/tex] or volume is equal to length x width x height divided by 3. The length is 15, the width is 10, and the height is 12. This equals to 1800, then we divide it by three for the answer.

Answer: 445

Step-by-step explanation:

Lincoln’s Final Amount:

Compounded Continuously: A=Pe^rt

P= 2800

r= 0.05375

t=15

A=2800e^0.05375(15)

A=2800e^0.80625

A=6270.5833

Lily’s final amount:

Compounded quarterly:

A=P(1+r/n)^nt

P=2800

r=0.05875

t=15

n=4

A=2800(1+ 0.05875/4)^4(15)

A=2800(1.0146875)^60

A=6715.7829

How much more money does Lily have?

6715.7829-6270.5835

=445.1994

The money would Lily have in her account than Lincoln, to the nearest dollar 445.

We have to determine the compound interest Lincoln’s final amount

Compounded Continuously

A=Pe^rt

P= 2800

r=0.05375

t=15

A=2800e^0.05375(15)

A=2800e^0.80625A=6270.5833

A=P(1+r/n)^nt

P=2800

r=0.05875

t=15

n=4

A=2800(1+ 0.05875/4)^4(15)

A=2800(1.0146875)^60

A=6715.7829

=6715.7829-6270.5835

=445.1994

Therefore money would Lily have in her account than Lincoln, to the nearest dollar 445.

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Answer:

The answer is very clear is 2/3

Step-by-step explanation:

Which equation can be rewritten as x + 4 = x2?

Right ans is √x+4 = x

❣️

The equation x + 4 = x²  will be written as √( x+2 ) = x. The correct option is B.

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

The given expression is x + 4 = x². The given expression will be simplified as below,

x + 4 = x²

Remove the square and apply the square root on the left side of the equation.

x = √ ( x + 4 )

Therefore, the equation x + 4 = x²  will be written as √( x+2 ) = x. The correct option is B.

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Answer:

(7 *3 -3*(-2))/(2*3+(-2)) = 6.75

Step-by-step explanation:

Answer:

1 year

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year,

then, solving our equation

t = 25 / ( 500 × 0.05 ) = 1

t = 1 years

The time required to

accumulate simple interest of $ 25.00

from a principal of $ 500.00

at an interest rate of 5% per year

is 1 year.

The two coordinates after the rotation are (2,-3) and (-8,5)

The points are given as:

(-2,3) and (8,-5)

The rule of 180 degrees clockwise rotation is:

(x,y) = (-x,-y)

This means that:

(2,-3) => (-2,3)

(-8,5) => (8,-5)

Hence, the two coordinates after the rotation are (2,-3) and (-8,5)

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Answer:

(2, -3) and (-8, 5)

Step-by-step explanation:

If a point is rotated 180° clockwise about the origin (0, 0) then:

(x, y) → (-x, -y)

Therefore,

(-2, 3) → (-(-2),-3) = (2, -3)

(8, -5) → (-8, -(-5)) = (-8, 5)

So the two coordinates after rotation would be (2, -3) and (-8, 5).

Answer5

34

Step-by-step explanation: 45

Answer:

[tex]\displaystyle \int\limits^1_0 {[2f(x) - g(x)]} \, dx = 11[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Calculus

Integrals

Integration Property [Multiplied Constant]:                                                                 [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:                                                               [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \int\limits^1_0 {f(x)} \, dx = 4[/tex]

[tex]\displaystyle \int\limits^1_0 {g(x)} \, dx = -3[/tex]

[tex]\displaystyle \int\limits^1_0 {[2f(x) - g(x)]} \, dx[/tex]

Step 2: Find

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Book: College Calculus 10e

Answer:no

Step-by-step explanation: because it is an acute triangle

Answer:

The area of a circle can be found using the formula [tex]A=\pi r^2[/tex]

Step-by-step explanation:

Answer:

-40 I wanna say

Step-by-step explanation:

Answer:

Brainliest??

Step-by-step explanation:

40 units