Find the 6th term in this geometric sequence?

Answer:

C. 4 feet below

Step-by-step explanation:

A crew member on a boat releases a camera 2 feet above the surface of a lake. That is +2 feet

The camera falls 6 feet. -6

+2+(-6)

2-6

-4

Below 4 feet

Answer:

Applying Heron's Formula

[tex]s=\frac{2.89+4.3+6.81}{2}[/tex]

[tex]s_1=7[/tex]

[tex]A_1=\sqrt{7(7-2.89)(7-4.3)(7-6.81)}[/tex]

[tex]A_1=10.56[/tex]

Now, [tex]s_2=\frac{6.81+8.59+7.58}{2}[/tex]

[tex]s_2=11.49[/tex]

[tex]A_2=\sqrt{11.49(11.49-6.81)(11.49-8.59)(11.49-7.59)}[/tex]

[tex]A_2=24.69[/tex]

Total Area:

[tex]10.56+24.69[/tex]

[tex]=35.25[/tex]

OAmalOHopeO

In the equation for surface area the radius is squared ( r^2)

If the radius is doubled, the radius would be 2^2 more which equals 4

The surface area would be 4 times the old surface area.

Answer:

Option B.

Step-by-step explanation:

Consider the correct question is "Which statement correctly compares

1. -201  and  151

-201 = 151

-201 < 51

-201 > 151"

The given numbers are -201 and 151. We need to compare these numbers.

We know that all negative numbers are less than positive numbers.

So,

-201 < 151

If both numbers are negative, then the larger negative number is the smaller number.

Therefore, the correct option is B.

Answer:

-3.5

Step-by-step explanation:

The problem you have stated is (y-z)/z where y=-2 and z = 4/5. To solve, substitute the values of y and z into the problem. Then, you have (-2-4/5)/4/5. (-2-4/5) simplifies to -14/5 so then you have (-14/5)/4/5. To divide, multiply -14/5 by 5/4 {multiplying by the reciprocal}. That equals -70/20 which is equal to -3.5

Answer:

[tex]\large\boxed{-3.5}[/tex]

Step-by-step explanation:

(y - z) ÷ z          y = -2 and z = 4/5

Substitute in the given values for y and z into the equation

(y - z) ÷ z  

(-2 - 4/5) ÷ 4/5

Subtract inside the parenthesis (-2 - 4/5)

-2.8 ÷ 4/5

Convert 4/5 into a decimal (in this case that can be done by multiplying both the numerator and denominator by 20)

4/5 = (4 * 20) / (5 * 20) = 80 / 100

80 / 100

Divide numerator and denominator by 10

8/10 = 0.8

Substitute into previous equation

-2.8 ÷ 4/5 = -2.8 ÷ 0.8

Divide

[tex]\large\boxed{-3.5}[/tex]

Hope this helps :)

240

using pascals trianle

for the power 6 it is

1, 6,15,20, 15,6, 1

and for the third term (2x)^4 and (-1)^2

[tex]15 \times {(2x)}^{4} \times {( - 1)}^{2} [/tex]

[tex]240 {x}^{4} [/tex]

Since only the coefficient is needed

the answer is 240.

The required coefficient of third term is 480.

Coefficient of the third term of (2x−1)^6 to be determine.

Coefficient is defined as the integer present adjacent to the variable.

Here,  (2x−1)^6
Using binomial expansion,
Third term = P(6,2)(2x)^6-2(-1)^2
                  =   6*5*16x^4
                  = 480x^4

Thus, the required coefficient of third term is 480.

Learn more about coefficient here:

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Answer:

D

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 5 and (a, b) = (5, - 8 ), thus

y - (- 8) = 5( x - 5), that is

y + 8 = 5(x - 5) → D

Answer:

r = 0.5 or 1/2

Step-by-step explanation:

Simple Interest Rate Formula: A = P(1 + r)^t

Simply plug in our known variables:

2700 = 800(1 + r)³

Now we solve for r:

Divide both sides by 800

27/8 = (1 + r)³

Take the cube root on both sides

∛27/8 = ∛(1 + r)³

Simplify

3/2 = 1 + r

Subtract 1 on both sides

r = 1/2

r = 0.5

Answer:

For compound interest, 50%.

Step-by-step explanation:

(I'm assuming this question is asking for the compound interest):

The formula for compound interest is given by:

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Plug in the values we know. We can use 1 for n:

[tex]2700=800(1+r)^3\\27/8=(1+r)^3\\1+r=\sqrt[3]{27/8}\\r=3/2-1\\r=1/2=.5[/tex]

So, the interest rate is 50%.

Answer:

17

Step-by-step explanation:

b(1) = 16

b(2) = b(2-1) +1

      = b(1) +1

     = 16+1

    = 17

Answer:

See explanation

Step-by-step explanation:

a) 200,000 x .0288 x 7 = 40,320 interest

b) 240,320/84 = $2860.95

Answer:

D

Step-by-step explanation:

To solve for T in this, you need to to divide r from both sides of the equation.

d=rt

divide r

d/r=t

The correct equation is t= d/r.

The answer is option D.

Rearrange the equation in order that the unknown variable is by itself on one aspect of the equals sign (=) and all the different variables are on the opposite side. Rule 1: you could add, subtract, multiply and divide by means of something, so long as you do the identical aspect to both aspects of the equals sign.

We can express an equation in phrases of the opposite variable. For example, to arrange the equation in order that it's far written as taking each time period and circulate to the opposite side of the equal sign the usage of the opposite operation till you most effective have.

Learn more about the equation here: https://brainly.com/question/1214333

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Answer: 4

Step-by-step explanation:

We know that a plane is 2 dimensional surface that extends infinitely far.

The number of points required to define a plane = 3

Here , we have 4 points A, B, C, and D.

So, the number of possible combinations of 3 points to make a plane from 4 points = [tex]C(4,3)[/tex]

[tex]=4[/tex]            [ [tex]C(n,n-1)=n[/tex] ]

Hence, the greatest number of planes determined using any three of the points A, B, C, and D if no three points are collinear = 4.

Answer:

5 units

Step-by-step explanation:

draw a horizontal line from  the point (5, -1) to the y-axis: y=-1, it hits the y-axis at (0, -1). the distance between the two is 5 units

Answer:

x=0, 7

Step-by-step explanation:

x^2-3x=4x

x^2-7x=0

x(x-7)=0

x=0 or 7

Answer:

x=0  x=7

Step-by-step explanation:

x^2 -3x = 4x

Subtract 4x from each side

x^2 -3x-4x=0

x^2 -7x = 0

Factor out an x

x(x-7) =0

Using the zero product property

x=0  x-7 =0

x=0  x=7

Answer:

Step-by-step explanation:

Let the price of the room be p

Let the size of the room be s

To find the size of a kitchen that costs $3,824.00 we must first find the relationship between them

The statement

The price of tiling a room varies directly as the size of the room is written as

where k is the constant of proportionality

when

p = $4,224.00

s = 264 square feet

Substitute the values into the expression to find k

That's

4224 = 264k

Divide both sides by 264

k = 16

So the formula for the variation is

when

p = 3824

[tex]s = \frac{p}{16} [/tex]

[tex]s = \frac{3824}{16} [/tex]

s = 239

The final answer is

239 square feet

Hope this helps you

To build the fleet of ships, Astrid must consider each of the given rates (i.e.  the daily tons of wood, the sailors per ship, etc.). The available deliveries are enough to build ships that can accommodate at least 2100 sailors.

Given that:

Required quantities

[tex]Wood = 40\ tons[/tex]

[tex]Sailors = 300[/tex] per ship

Available quantities

[tex]Wood = 4\ tons[/tex] daily

[tex]Days = 100[/tex] at most

First, we calculate the total tons of woods Astrid can receive.

[tex]Total = Days \times Wood\ Available[/tex]

[tex]Total = 100 \times 4[/tex]

[tex]Total = 400\ tons[/tex] ---- in 100 days

Next, we calculate the number of ships that can be made from the 400 tons.

[tex]Ships = \frac{Total\ tons}{Wood\ Required}[/tex]

So, we have:

[tex]Ships = \frac{400}{40}[/tex]

[tex]Ships = 10[/tex]

This means that Astrid can build up to 10 ships

The number of sailors the ship can accommodate is:

[tex]Sailors = Ships \times Sailors\ per\ ship[/tex]

So, we have:

[tex]Sailors = 10 \times 300[/tex]

[tex]Sailors = 3000[/tex]

It means the 10 ships can accommodate 3000 sailors.

3000 sailors is greater than 2100 sailors.

So, we can conclude that she can build enough ship for the 2100 sailors.

Read more about

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Answer:

280 tons

Step-by-step explanation:

:)

Answer:

Step-by-step explanation:

For what values of does the equation (2 + 1)^2 + 2 = 10 − 6 have two real and equal roots?

BC must be base

We know

[tex]\boxed{\sf Area_{(Triangle)}=\dfrac{1}{2} Height\times Base}[/tex]

[tex]\\ \sf\longmapsto 42=\dfrac{1}{2}8BC[/tex]

[tex]\\ \sf\longmapsto 4BC=42[/tex]

[tex]\\ \sf\longmapsto BC=\dfrac{42}{4}[/tex]

[tex]\\ \sf\longmapsto BC=10.5cm[/tex]

BC must be base then

Area: 42cm²

Height: 8cm

Base: BC

1/2 × b × h = 42

1/2 × b × 8 = 42

b = 42/4

b = 21/2

BC = 21/2 or 10 1/2

Or 10.5cm

Must click thanks and mark brainliest

Answer:

Step-by-step explanation:

y=x²+7

vertex(0,7)

the length of latus rectum in a parabola equal to four times the focal length :

y=x²+7

focus X=-b/2a=0

focus Y=c- (b²-1)/4a=7+1/4=29/4

focus (0 , 29/4)

latus rectum is 29/4

(x-h)^2 = 4p (y-k)   4p is the length of the latus rectum with vertex(0,7)

(0-0)²=4p(29/4-7)

0=29p-28p=1p

the length of the latus rectum is 1

Answer:

  1

Step-by-step explanation:

The short answer is that the length of the latus rectum is the reciprocal of the magnitude of the leading coefficient.

In y = x^2 +7, the leading coefficient is 1.

  latus rectum = 1/|1| = 1

Answer:

N means Natural Number in Maths

Step-by-step explanation:

N=natural,Z=integer,R=real number

Answer: Absolute Value

Step-by-step explanation:

The | | is a symbol for absolute value. This signifies that the number inside would be positive. Now, this doesn't mean it will always be a number inside absolute value bars. It can also be expressions.

Examples:

|1|: Even though the number inside is a positive 1, we know that it cannot be negative under any circumstances. The only exception would be if there was a negative sign on the outside of the absolute value.

|-1|: We see that there is a -1 in the absolute value. This means that it is actually a 1, not -1. The absolute value is what makes everything inside positive.

|1-5|: To solve this, we know that 1-5=-4. Without the absolute value, the answer -4 would be correct. In this case, we have absolute value, so the answer is actually 4.

|x+2|: x+2 can easily be negative. This would happen is x was a negative number that is smaller than -2. x+2 can also be positive, but the absolute value guarantees that the ending result must be positive.

Answer:

The amount of money in Enid bank account can be written as a linear equation.

Ye = Xe + $4*m

where Ye is the money that Enid has in her account, m is the number of months that have passed since she opened it, and Xe is the initial deposit.

For Jim, the equation is similar:

Yj = Xj + $3*m

where Yj and Xj are similar as above.

Between May 15 and December 31 of the same year, we have 7 months (where i am counting December because the deposit is made in the first day of the month).

Then we have that:

Ye = $72 = Xe + $4*7 = Xe + $28

Xe = $72 - $28 = $44

So in May 15, Enid deposited $44.

For Jim we have:

Yj = $72 = Xj + $3*7 = Xj + $21

Xj = $72 - $21 = $51

So in May 15, Jim deposited $51.

Answer:

No

Step-by-step explanation:

Linear equations must have no squares, roots, cubes, or any powers. If the graph has an asymptote or any restrictions, it is not a linear function.

A linear function will only appear in either point-slope form or slope-intercept form. These forms will not have square roots or powers in them.

-x + 3y² = 18

We know here that this is not a linear function. But we can try to write it in slope-intercept form:

3y² = x + 18

y² = x/3 + 6

y = √(x/3 + 6)

We can see from here that our graph is a square root function and has a restricted domain (no negative numbers).

Alternatively, we can graph the equation to see if it is a constant line (linear equation) or not. When we do so, we see that it is definitely not a linear function:

Answer:

200 cubic centimeters is the answer :)

Step-by-step explanation:

Answer:

a 1000 times// just divide them

Answer:

10,000 times Larger

Step-by-step explanation:

To determine the multiple larger for 86,000,000 than 8,600, we simply will use the division operation and the result will be the multiple.

86,000,000 / 8,600 = 10,000

Hence, the number 86,000,000, is 10,000 times larger than 8,600.

Another method is simply to look at the additional zeroes that 86,000,000 has in comparison to 8,600.  Since we can see that 86 is the only non-zero digit within the two numbers, we can use the properties of the decimal system to compare.  Note that 86,000,000 has 6 zeroes, while 8,600 has two zeros.  This means that we will need 4 zeroes as part of our tens multiple, so we can say that 10,000 is the multiple.  Once again, we see that 86,000,000 is 10,000 times larger than 8,600.

Cheers.

Answer:

i dont know

Step-by-step explanation:

Answer:

Hello,

Step-by-step explanation:

since

[tex]\sqrt{5607} =74,879903...\\\\Let\ x\ the\ searched\ number\\\\5607-x=74^2\\\\x=5607-5476\\\\\boxed{x=131}\\[/tex]

Answer:

60°

Step-by-step explanation:

A full rotation is 360°. The figure has six sides.

1. Divide

360 ÷ 6 = 60

Each angle of the polygon is 60°. Therefore, the polygon must be rotated at least 60° for the figure to match all sides and vertices.

Answer:

Step-by-step explanation:

a1 = 51 + (1 -1 ) * 0.8

a1 = 51

a2 = 51 + (2 - 1)*0.8

a2 = 51 + 0.8

a2 = 51.8

a3 = 51 + (3 - 1)*0.8

a3 = 51 + 2*0.8

a3 = 51 + 1.6

a3 = 52.6

a4 = 51 + (4 - 1)*0.8

a4 = 51 + 2.4

a4 = 53.4

Hey there! I'm happy to help!

So we want to see which of these have the greatest value. Since these are all negative numbers, we want the one that is closest to zero.

So, we know that -1000 is going to furthest from 0. -10 will be further than -8 since it is a larger negative number, so it will be more negative than -8.

-1/2 is just barely negative, so it is going to be closer to -0 than -8, so the correct answer is C. -1/2.

Have a wonderful day and keep on learning! :D

Answer:

16/27

[tex]\frac{2}{3}[/tex] × [tex]\frac{8}{9}[/tex] = [tex]\frac{16}{27}[/tex]