Suppose that the radius of a circle increases at a constant rate of 0.25 cm/sec. When the radius of this circle is 16 cm, the area of the circle increases at a rate of

Ignore the negative sign, since that only affects the sign of the final product

3415₇ × 432₇

You can compute the product by considering the digit expansion, by which I mean first expanding each number as sums of powers of 7:

3415₇ = 3000₇ + 400₇ + 10₇ + 5₇

(It's the same thing as writing, for example, the decimal 3415 as 3000 + 400 + 10 + 5, just in a different base.)

Similarly,

432₇ = 400₇ + 30₇ + 2₇

Then apply the distributive property:

= (3000₇ + 400₇ + 10₇ + 5₇) × (400₇ + 30₇ + 2₇)

= 3000₇ × (400₇ + 30₇ + 2₇)

… + 400₇ × (400₇ + 30₇ + 2₇)

… + 10₇ × (400₇ + 30₇ + 2₇)

… + 5₇ × (400₇ + 30₇ + 2₇)

= {12}00000₇ + {9}0000₇ + 6000₇

… + {16}0000₇ + {12}000₇ + {8}00₇

… + 4000₇ + 300₇ + 20₇

… + {20}00₇ + {15}0₇ + {10}₇

where I use the curly braces to indicate products (written in base 10) of digits that exceed 6. Anything in these braces needs to be properly converted to base 7. For example,

{12}₇ = 7 + 5 = 15₇

So you would have

= 1500000₇ + 120000₇ + 6000₇

… + 220000₇ + 15000₇ + 1100₇

… + 4000₇ + 300₇ + 20₇

… + 2600₇ + 210₇ + 13₇

Add everything up:

• In the 7⁰ place,

3₇

• In the 7¹ place,

1₇ + 1₇ + 2₇ = 4₇

• In the 7² place,

2₇ + 6₇ + 3₇ + 1₇ = {12}₇ = 15₇

• Carry the 1 (underlined). In the 7³ place,

2₇ + 4₇ + 1₇ + 5₇ + 6₇ + 1₇ = {19}₇ = 25₇

• Carry the 2. In the 7⁴ place,

1₇ + 2₇ + 2₇ + 2₇ = {7}₇ = 10₇

• Carry the 1. In the 7⁵ place,

2₇ + 1₇ + 5₇ + 1₇ = {9}₇ = 12₇

• Carry the 1. In the 7⁶ place,

1₇ + 1₇ = 2₇

So, we end up with

3415₇ × 432₇ = 22045543₇

and thus

3415₇ × (-432₇) = -22045543₇

Answer:

the third one

Step-by-step explanation:

the absolute value of -6 is 6

Answer:

Option A

Step-by-step explanation:

[tex]\frac{5-i}{4+3i} *\frac{4-3i}{4-3i} =\frac{20-15i-4i+3i^{2} }{16-9i^{2} }=\frac{20-19i+3(-1)}{16-9(-1)} =\frac{17-19i}{25}=\frac{17}{25}- \frac{19}{25} i[/tex]

Answer:

320

Step-by-step explanation:

32 bottles  in 6 minutes add a 0 so you get 320 bottles in 60 minuts.

Answer:

D 320

Step-by-step explanation:

Since 60 minutes is 10 times 6 minutes, the machine can make 10 time more water bottles in 60 minutes than it can make is 6 minutes.

10 * 32 = 320

Answer: D 320

You can also solve by using a proportion.

32/6 = x/60

6x = 60 * 32

Divide both sides by 6.

x = 10 * 32

x = 320

Answer: D 320

Answer:

interest rate is .000951667 and total interest gained is 47.98 and total money in the bank account is 2147.98

Step-by-step explanation:

you have to find the interest rate then multiply it by 1 year then put it to the power of 24. 24 because you have 34 months in 2 years

Answer:

the answer is 8!

Step-by-step explanation:

hope this helped! <3

Answer:

nine and two fifths(  9 2/5 )

Step-by-step explanation:

i used a fraction calclulator

Answer:9.4

Step-by-step explanation:

Answer:

-26

Step-by-step explanation:

so, the absolute value of 3 and 11 together is 14.

14-(15+3+2)2

14-(20)2

14-40

-26

Answer:

1. 37.5%

2.25%

Step-by-step explanation:

1.

2/3 and 1/4

What percent = x/100

0.25/2/3=x/100

25=2/3x

x=37.5

37.5%

2/3 and 1/6

1/6/2/3=x/100

16 2/3=2/3x

25%

Hope this helps plz hit the crown :D

Answer:

THANKS

Step-by-step explanation:

Answer:

375

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Expected value =prob(age)

(13*0.01)+(14*0.25)+(15*0.27)+(16*0.30)+(17*0.16)+(18*0.01)=15.38

round off to get 15

The expected value for the age of a randomly chosen student is 15.

The ratio of good outcomes to all possible outcomes of an event is known as probability. A lot of successful results for an experimental with 'n' results can be represented by the symbol x.

Given:

Total number of students, n = 1500,

Age : 13, 14, 15, 16, 17, 18

Probability : 0.01, 0.25, 0.27, 0.30, 0.16, 0.01

Calculate the expected value as shown below,

[tex]E = x_1P_1 + x_2P_2+x_3P_3+x_4P_4+x_5P_5+x_6P_6[/tex]

E = 13 × 0.01 + 14 × 0.25 + 15 × 0.27 + 16 × 0.30 + 17 × 0.16 + 18 × 0.01

E = 0.13 + 3.5 + 4.05 + 4.8 + 2. 72 + 0.18

E = 15.38 ≈ 15

Therefore, the expected value for the age of a randomly chosen student is 15.

To know more about probability:

https://brainly.com/question/743546

#SPJ2

Answer:

math way

Step-by-step explanation:

Answer:

E - Chi-Square Test of Independence

Step-by-step explanation:

- The Two-Sample Z-test is used to compare the mean of two samples in order to find out the possibility that they come from the same population.

-A linear regression t-test for slope is used to carry out hypothesis tests on the regression coefficients which are obtained in simple linear regression.

-A matched-pairs t-test is used to test whether there is a significant difference in mean between two sets of paired data.

- A two sample t-test is used to test whether the unknown population mean found in two groups are either equal or not equal.

-Chi-Square Test of Independence is a non-parametric test that is used to find out whether there is an association between categorical variables. Simply put, to find out if the categorical variables are independent or related.

From the question, the prospective home buyer is trying to investigate whether there is an association between the two variables which are the number of bathrooms contained in home and the estimated value of the home.

This means he is trying to find out if both variables are associated i.e.either independent or related. This is what Chi-Square Test of Independence does.

Answer:

A chi-square test of independence

Step-by-step explanation:

colllege board

Answer:

The cosine function forms a wave that starts from the point (0,1) cos θ = 0 when θ = 90˚, 270˚. Maximum value of cos θ is 1 when θ = 0˚, 360˚.

Step-by-step explanation:

Answer:

c

the top right is quadrant l, the top left is quadrant ll, the bottom left is quadrant lll, and the bottom right is quadrant lV

Answer:

a. 8.5

b. 10

Step-by-step explanation:

a.) 1, 1, 2, 7, 7, 10, 12, 16, 20, 34

Since 7 and 10 are tied in the middle, then we need to find a number in the   middle of the two.

8.5 is in the middle of 7 and 10, therefore 8.5 is the mean.

b.) We need to do the same thing we did before, except add 22 to it's directed place:

1, 1, 2, 7, 7, 10, 12, 16, 20, 22, 34

Since 10 is in the middle, 10 is the new mean.

Hope this helps! :D

Answer:

If there's a point after 2: 13.2

If there's no a point after 2: 1320

Step-by-step explanation:

A= 6[tex]s^{2}[/tex]

Two numbers/variables touching like this means to multiply!

s=2.20

6x2.20= 13.2

-------------------------------------------------------------------------------------

If there is no point, same process, not same answer.

s=220

6x220= 1320

I hope this helped you! If you are still confused, comment so I could give you more info. :D

Answer:

D.  y = -6x + 38

Step-by-step explanation:

Equation of a sequence

We are given the following sequence of numbers corresponding to the positions x={1,2,3,4,5,...}

y={32,26,20,14,8....}

To find the equation of the sequence, we must recall the general term of a sequence is:

[tex]a_x=a_1+(x-1).r[/tex]

Where r is the common difference between two consecutive terms, an and a1 are the x-th and the first terms respectively.

We can find the value of r by subtracting any pair of consecutive terms:

r = 26-32 = 20-26 = 14-20 = -6

Now we apply the formula:

y=32+(x-1).(-6)

Operating:

y=32-6x+6

y = -6x + 38

Answer:

D.   y = -6x + 38

==================================================

Work Shown:

Let's cross multiply to get the following

14/20 = 56/x

14*x = 20*56

14x = 1120

x = 1120/14

x = 80

-------------------

As a way to check the answer, we can type 14/20 - 56/80 into the calculator and we should get 0. I'm taking advantage of the rule that if A = B, then A-B = 0. This trick is handy to check if two sides of any equation are equal to one another.

your answer will be 80 pretty sure

Answer:

Option A

Step-by-step explanation:

From the graph attached,

Vertical asymptote of the given function → x = -4

Horizontal asymptote → y = 0

Oblique asymptote → None

Therefore, graph that has been given in the picture is,

F(x) = [tex]\frac{1}{(x+4)^2}[/tex]

Option (A) will be the answer.

Answer:

0.43478

Step-by-step explanation:

From the information given:

[tex]The \ required \ probability = P(1st ball = red) \times P(2nd ball = red) + P(1st ball = red) \times P(2nd ball = white) + P(2nd ball = red) \times P(1st ball = white) + P(1st ball = white) \times P(2nd ball = white)[/tex]

[tex]= \dfrac{6}{6+8+10}\times \dfrac{5}{5+8+10} + \dfrac{6}{6+8+10} \times \dfrac{10}{5+8+10} + \dfrac{10}{6+8+10} \times \dfrac{6}{5+8+10} \times \dfrac{10}{6+8+10} \times \dfrac{9}{5+8+9}[/tex]

[tex]=(\dfrac{6}{24}\times \dfrac{5}{23})+ (\dfrac{6}{24}\times \dfrac{10}{23}) +( \dfrac{10}{24}\times \dfrac{6}{23} ) + (\dfrac{10}{24}\times \dfrac{9}{23})[/tex]

= 0.05434782609 + 0.1086956522  + 0.1086956522  + 0.1630434783

= 0.4347826088

≅ 0.43478

Step-by-step explanation:

The answer is line CB = line BC (C).

Answer:

8. Not similar

9. Similar

Step-by-step explanation:

8. You could try to us the AA theorem which means that two angles in the triangle are equal, which would mean that the triangles are similar. But 46+58=104 and 180-104=76 so there are not two similar angled between the triangles.

9. You can use the same theorem for this problem (AA). So 106+31=137 and then 180-137=43 which is one of the angles in the second triangle. Since at least two of the angles are equal, you can use AA theorem yo prove they are similar.

Hope this helps!

Answer:

The two triangles in 8 are not similar. The two triangles in 9 are similar.

Step-by-step explanation:

The three angles of all triangles must add up to 180°.

The left triangle in 8 has these angles:

46  58  and (180 - (46+58)) = 76

The right triangle in 8 has these angles:

58  78  and (180 - (58+78)) = 44

So, 46 | 44 and 76 | 78 are dissimilar.

The left triangle in 9 has these angles:

106  31  and (180 - (106+31)) = 43

The right triangle in 9 has these angles:

31  43  and (180 - (31+43)) = 106

But the triangles in 9 all have the same angles: 31  |  43  |  106.

Answer:

Shawn

Step-by-step explanation:

Shawn sells 36/4 = 9

Brett sells 56/7=8

Therefore , Shawn sells more vehicles per week

Answer: Shawn

Step-by-step explanation:

36 ÷ 4 = 9

56 ÷ 7 = 8

9 is greater than 8 and bc if we divide the numbers it equals how many vehicles per week.

Answer:

thanks for free points

Answer:

12 10 dollar bills.

Step-by-step explanation:

you need 12 10 dollar bills bc i added 3 50 dollar bills (150), 18 20 dollar bills (360), which was 510. after i got 510, i figured out how much was needed left, so i subtracted 630 minus 510 which was 120. in the end i knew 10x12 was 120 so you need twelve 10 dollar bills.

Answer:

4

Step-by-step explanation: