If Katarina runs at a pace of 5 mph, how many miles can she run in 4 hours? A. 22 miles B. 20 miles C. 21 miles D. 19 miles

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:

4 feet/minute

explanation:

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

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

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:

11 widgets

Step-by-step explanation:

544.50/4.5 = 121

square root 121 = 11

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:

a and b

Step-by-step explanation:

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:

There are 3 terms.

Answer:

the answer is 295 students

Answer:

363-94+26 = 295 students

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:

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:

6

plz vote me brainliest

Step-by-step explanation:

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:

4399.98 ft per min

Step-by-step explanation:

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:

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

#SPJ2

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:

true

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:

10.) y=-3x+5

11.) y= -1/2 x+2

Step-by-step explanation:

step by step attchaed below

Answer: 20%

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

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.

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.