what is .61 plus .004 plus .3

Answer:

4 feet/minute

explanation:

The rate of descent = (10 feet)/(2.5 mn) = 4 ft/min

Answer:

The 8th term of the following sequence is 9375.

Step-by-step explanation:

Given the sequence

3/25, 3/5, 3, 15

As we know that a geometric sequence has a constant ratio and is defined by:

[tex]\:a_n=a_0\cdot r^{n-1}[/tex]

so

[tex]\frac{3}{25},\:\frac{3}{5},\:3,\:15[/tex]

[tex]\frac{\frac{3}{5}}{\frac{3}{25}}=5,\:\quad \frac{3}{\frac{3}{5}}=5,\:\quad \frac{15}{3}=5[/tex]

As the ratio 'r' is the same.

so

[tex]r=5[/tex]

As the first element of the sequence is

[tex]a_1=\frac{3}{25}[/tex]

Therefore, the nth term is computed by

[tex]\:a_n=a_0\cdot r^{n-1}[/tex]

[tex]a_n=\frac{3}{25}\cdot \:5^{n-1}[/tex]

Putting n = 8 to determine the 8th term.

[tex]a_8=5^7\cdot \frac{3}{25}[/tex]

[tex]a_8=\frac{3\cdot \:5^7}{25}[/tex]

    [tex]=\frac{5^7\cdot \:3}{5^2}[/tex]

     [tex]=5^5\cdot \:3[/tex]

     [tex]=9375[/tex]

Therefore, the 8th term of the following sequence is 9375.

Answer:

3/4 or .75

Step-by-step explanation:

slope = dy/dx

dy = 1 - -2 = 3

dx = 2 - -2 = 4

slope = 3/4

Step-by-step explanation:

(1+2)/(2+2)= 3/4 is the slope

Answer:

Step-by-step explanation:

1 cm = 10mm

52cm = 52 x 10 = 520mm

Answer: 20%

Step-by-step explanation: 3/15 = 1/5 = .20 = 20%

Answer:

Option A is correct option.

Step-by-step explanation:

We need to fill in the blank:

the arithmetic mean of a data set is the measure of center ______

Arithmetic mean is calculating average of data i.e adding all the value divided by total number of values.

So, Option A is correct option.

Answer:

The answer is the last line below.

Step-by-step explanation:

g(x) = 4x

h(x) = -3x^2 + 4

(g + h)(x) = 4x - 3x^2 + 4

Answer:

There are 3 terms.

Answer:

the answer is 295 students

Answer:

363-94+26 = 295 students

Answer:

5:7

Step-by-step explanation:

The days in the week whose names don't begin with 'T' are Sunday, Monday, Wednesday, Friday, and Saturday. I counted them, and found that there are five (5) of them. Then I counted the number of days in a full week, no matter how they're spelled. I counted seven (7) that time. The ratio of 5 to 7 is. 5:7 or 5/7.

Synthetic division yields

1   |   1   0   0   1

.   |        1    1    1  

= = = = = = = = = =

.   |   1    1    1    2

which translates to

(x³ + 1) / (x - 1) = x² + x + 1 + 2/(x - 1)

where the quotient is x² + x + 1.

Answer:

its d bc it is so yeah suck a toe hehehehehehehhehehehehehehehehhehehehehehehehehhehehehehhehehehehhehehehehehehehehehhehhehehehhhehehehehhehhehehehe

Answer: I’m pretty sure ur answer would be B) 5 2/5

Step-by-step explanation: good luck ! <3

Answer:

$285.12

Step-by-step explanation:

Start by finding the discount price

$480 * 0.45 = 216

Now subtract

$480 - 216 = 264

Then you will need to find the sales tax

264 * 0.08 = 21.12

now add

21.12 + 264 = 285.12

$264.00

45% off means that the new price of the desk will be 55% of the original price.

$480.00(100-45) = $480.00(55)

Converting the percent to a decimal gives:

$480.00(0.55)

Your Answer:

$264

Answer:

they are not similar because you can't multiply both sides given by the same number to get the second polygon

Answer:

NO THEY arent

Step-by-step explanation:

if you were to multiply both, you wouldnt get the same answer also the scale factor isnt the same.

Answer:

24 million

Step-by-step explanation:

24,000,000 if you put it porperly

The units are, Unit, Tens, Hundreds, Thousand, Ten-Thousand, Hundred-Thousand, Million, Ten million, Hundred million Billion and so on

Answer:

true

Step-by-step explanation:

Answer:

Is it everything or which ones particularly?

Answer:

1.Nonagon-convex, regular

2.Quadrilateral-convex, irregular

3.Hexagon-concave, irregular

Answer:

1.-Nonagon-convex, regular

2.-Quadrilateral-convex, irregular

3.-Hexagon-concave, irregular

Answer:

4399.98 ft per min

Step-by-step explanation:

Answer:

a and b

Step-by-step explanation:

Answer:

x = 15

Step-by-step explanation:

Since, BX is the bisector of [tex] \angle BAC[/tex]

[tex]\therefore m\angle ABX = \frac {1}{2} m\angle ABC\\\\

\therefore 24= \frac {1}{2}\times (4x - 12)\\\\

\therefore 24= \frac {1}{2}\times 2(2x - 6)\\\\

\therefore 24= (2x - 6)\\\\

\therefore 24 = 2x - 6 \\ \\

\therefore 24 +6 = 2x\\\\

\therefore 30 = 2x \\\\

\therefore x = \frac{30}{2} \\\\

\therefore x = 15

[/tex]

Answer:

6

plz vote me brainliest

Step-by-step explanation:

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

P(Boy and 10-20 lunches)

[tex]=\frac{20}{10+20+30+5+25+30}\\=\frac{20}{120}\\=\frac{1}{6}[/tex]

The answer to this problem is 1/6.

Answer:

21π/2

Step-by-step explanation:

94.55π is the area of the required surface.

[tex]S=\int\limits^{x_1}_{x_2} {2\pi f(x)\sqrt{1+f'(x)^2} \, dx[/tex]

is the exact area of a surface obtained by rotating the curve y=f(x), [tex]x_1\leq x\leq x_2[/tex] about the x-axis

Given,

[tex]x=\frac{1}{3}(y^2+2)^{\frac{3}{2}}[/tex]

[tex]\implies (3x)^\frac{2}{3}=y^2+2\\\implies y^2=(3x)^\frac{2}{3}-2[/tex]

[tex]\implies y=\sqrt{(3x)^\frac{2}{3}-2}[/tex]

Let

[tex]y=\sqrt{(3x)^\frac{2}{3}-2}=f(x)[/tex]

Now, the range of y is given 3≤y≤4

hence, the range of x is [tex](\frac{1}{3}(3^2+2)^{\frac{3}{2}}[/tex],[tex]\frac{1}{3}(4^2+2)^{\frac{3}{2}})[/tex]=(12.16,25.46).

So, [tex]S=\int\limits^{25.46}_{12.16} {2\pi f(x)\sqrt{1+f'(x)^2} dx\\\\=[\frac{\pi}{2}(3x)^{\frac{4}{3}}-\pi (3x)^{\frac{2}{3}}]^{25.46}_{12.16}\\=101.63\pi - 6.99 \pi \\= 94.55 \pi[/tex]

is the area of the required surface.

Hence, 94.55π is the area of the required surface.

Learn more about the area of surface- brainly.com/question/24126051

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9514 1404 393

Answer:

Step-by-step explanation:

1. The graph (red) shows the only real zeros to be -1 and 2. When the corresponding factors are divided from the function, the remaining factor is the quadratic (x^2 +1), which has only complex roots. The quadratic is graphed in green.

The linear factorization is ...

  f(x) = (x +1)(x -2)(x -i)(x +i)

The roots are -1, 2, -i, +i.

__

2. The graph (blue) shows the zeros are 1, 3, 4.

You observe that the sum of coefficients is zero, so x=1 is a root. Factoring that out gives the quadratic (x^2 -7x +12), which you recognize factors as

  (x -3)(x -4) . . . zeros of 3 and 4

__

I have attached a spreadsheet that does synthetic division. There are web sites that will do this, too. The tables shown correspond to f1(x)/(x-2) and f2(x)/(x-1). When you fill in the zero and coefficients, the built-in formulas do the rest.

9514 1404 393

Answer:

real: -1, 2; complex: +i, -i

1, 3, 4

Step-by-step explanation:

1. The graph (red) shows the only real zeros to be -1 and 2. When the corresponding factors are divided from the function, the remaining factor is the quadratic (x^2 +1), which has only complex roots. The quadratic is graphed in green.

The linear factorization is ...

 f(x) = (x +1)(x -2)(x -i)(x +i)

The roots are -1, 2, -i, +i.

__

2. The graph (blue) shows the zeros are 1, 3, 4.

You observe that the sum of coefficients is zero, so x=1 is a root. Factoring that out gives the quadratic (x^2 -7x +12), which you recognize factors as

 (x -3)(x -4) . . . zeros of 3 and 4

__ The tables shown correspond to f1(x)/(x-2) and f2(x)/(x-1).

Answer:

40ft^2

Step-by-step explanation:

Hello There!

In this problem since we know that these are similar triangles we can set up a ratio in order to solve for the missing leg lenght, and then the areas.

This can be done by using the ratios and solving for x:

[tex]\frac{8ft}{12ft}[/tex]  x  [tex]\frac{4ft}{x}[/tex]

After this is done we find that the missing leg on the larger triangle is equal to roughly 6. With this in mind we find the area of the two triangles by multiplying the legs and dividing by 2, respectively.

The larger triangle will have an area of 72ft^2

the smaller triangle will have an area of 32ft^2

in order to find the difference in area we will simply subtract the two and find that the difference is equal to 40ft^2

Hope this helps

-HM