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2 years ago

8

Will mark brainliest

1 answer:

ikadub [295]2 years ago

8 0

Answer:

3rd choice

Step-by-step explanation:

(7y^6)(2y^-4)^2

= (7y^6)(4y^-8)

Calculate:

(7y^6) * (4y^-8)

28y^-2

Express with a positive exponent:

28 * 1/y^2

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The distribution of the amount of money spent by students on textbooks in a semester is approximately normal in shape with a mea

Archy [21]

Answer:

Step-by-step explanation:

Given data:

$\mu = 473$

standard deviation is $\sigma= 28$

As distribution is normal in shape and values are symmetrical

The standard deviation rule says that 95% of observation lies between the second standard deviation of the mean

so, approximately only 5% of observation lies outside the interval and normal shape is symmetric. hence approximately 0.15% of observation lies above the interval

$= \mu + 2\times \sigma$

$= 473 + 2\times 28 = 529$

almost 0.15% of students spent more amount is 529

6 0

2 years ago

8 1/4 minus 5/6 equals what??

kondaur [170]

Ok to figure it out you first find the common factor, which is 12
so the fractions become 8 3/12 and 10/12 then you subtract those 2,
8 3/12-10/12 is 7 5/12.
Hope That Helps!!!

6 0

3 years ago

Let <img src="https://tex.z-dn.net/?f=%5Csf%20a%2Bb%2Ca-b%2Cab%2C%5Cdfrac%7Ba%7D%7Bb%7D" id="TexFormula1" title="\sf a+b,a-b,ab,

Black_prince [1.1K]

Answer:

171/40 or 4 11/40

Step-by-step explanation:

<h3>AP given</h3>

a + b, a - b, ab, a/b

<h3>To find</h3>

6th term

<h3>Solution</h3>

Common difference

<u>Difference of first two</u>

d = (a -b) - (a + b) = -2b

<u>Difference of second two</u>

d= ab - (a - b)

<u>Difference of last two</u>

d = a/b - ab

<u>Now comparing d:</u>

-2b = ab - (a - b)
ab - a = - 3b
a(1 - b) = 3b
a = 3b/(1 - b)

and

a/b - ab = -2b
a(1/b - b) = -2b
a = 2b²/(b² - 1)

<u>Eliminating a:</u>

2b²/(b² - 1) = 3b/(1 - b)
2b/(b+1) = -3
2b = -3b - 3
5b = - 3
b = -3/5

<u>Finding a:</u>

a = 3b/(1 - b) =
3*(-3/5) *1/(1 - (-3/5)) =
-9/5*5/8 =
-9/8

<u>So the first term is:</u>

a + b = -3/5 - 9/8 = -24/40 - 45/40 = - 69/40

<u>Common difference:</u>

d = -2b = -2(-3/5) = 6/5

<u>The 6th term:</u>

a₆ = a₁ + 5d =
-69/40 + 5*6/5 =
-69/40 + 240/40 =
171/40 = 4 11/40

8 0

2 years ago

What is the volume of a small cone if:

Amiraneli [1.4K]

Answer:

Volume of smaller cone =301.44

Step-by-step explanation:

First let angle of cone be $\alpha$ .

then $sin(\alpha )$ = 3/5 (For bigger triangle)

Same cone angle is for smaller one because they are similar.

$cos(\alpha )$ = 4/5

Now for smaller cone radius be R

3/5 =R/Slant height

Slant height =5/3R

Lateral surface area = $\frac{1}{2}R^{2}\beta$ [R = slant height]

Given lateral surface area =60 $\pi$ = $\frac{1}{2}(\frac{5R}{3} )^{2} \beta$ ...................................1

$2\pi R=\frac{5R}{3}\beta$ ................................................2

$\beta=\frac{6\pi }{5}$

Put angle beta in equation 1 and find the value of R

R =6 cm

Height = $\frac{4R}{3}$

Thus volume = $\frac{1}{3}\pi6^{2}*8$

=301.44

4 0

2 years ago

The speed of light is about 1.9 x 10^5 miles per second. It takes about 500 seconds for light to travel from the Sun to Earth.

lukranit [14]

We are 93,000,000 miles away from the sun. The answer should be 9.3 x 10^7.

7 0

3 years ago