Ask question

Ask question

All categories

2 years ago

14

PLEASE HELP ME ASAP!!!

1 answer:

weqwewe [10]2 years ago

4 0

Answer:

D

Step-by-step explanation:

a number expressed in standard form is

a × $10^{n}$ : 1 ≤ a < 10 and n is an integer

given

(7.5 × $10^{7}$ )(2 × 10³)

= 7.5 × 2 × $10^{(7+3)}$

= 15 × $10^{10}$

= 1.5 × $10^{1}$ × $10^{10}$

= 1.5 × $10^{(1+10)}$

= 1.5 × $10^{11}$

You might be interested in

Can someone pls help me on 4 and 5

never [62]

Answer (4):

a=ub/k because

u=ak/b (starting equation)

ub=ak (multiply b to both sides)

a=ub/k (divide both sides by k)

Answer (6)

x=g+c-y because

g=x-c+y (starting equation)

x+y=g+c (add c to both sides)

x=g+c-y (subtract y from both sides)

5 0

3 years ago

If $2940 is invested at 3.2% compounded quarterly, how much is in the account after 8 years?

tino4ka555 [31]

Answer:

The future value is $3793.776

Step-by-step explanation:

Given

$PV = 2940$ --- present value

$r = 3.2\%$ --- rate

$t = 8$ --- time

$n = 4$ --- quarterly

Required

Determine the future value

This is calculated using:

$FV = PV(1 + \frac{r}{n})^{nt$

So, we have:

$FV =2940 * (1 + \frac{3.2\%}{4})^{4*8$

$FV =2940 * (1 + \frac{3.2}{400})^{32$

$FV =2940 * (1 + 0.008)^{32$

$FV =2940 * (1.008)^{32$

$FV =2940 * 1.2904$

$FV =3793.776$

3 0

2 years ago

For her presentation on the Wonders of the World, Mary baked a square pyramid-shaped cake as pictured below. The slant height of

mihalych1998 [28]

Answer:

$V=196in^3$

Step-by-step explanation:

The volume of a pyramid is:

$V=\frac{A_{b}h}{3}$

where $A_{b}$ is the area of the base and $h$ is the height (the perpendicular measurement between base and highest point, not the slant height)

Since the base is a square, the area is given by:

$A_{b}=l^2$

where $l$ is the length of the side: $l=8in$ , thus:

$A_{b}=(8in)^2\\A_{b}=64in^2$

Now we need to find the height, for this we use the right triangle that forms with half of a square side (8in/2 = 4in), the slant height (10in), and the height.

In this right triangle, the slant height is the hypotenuse, the leg 1 is the unknown height, and leg 2 is half of the square side.

Using pythagoras:

$hypotenuse^2=leg1^2+leg2^2$

substituting our values, and indicating that leg 1 is height h:

$(10in)^2=h^2+(4in)^2$

$100in^2=h^2+16in^2$

and solving for the height:

$h^2=100in^2-16in^2\\h^2=84in^2\\h=\sqrt{84in^2}\\ h=9.165in$

and finally we calculate the volume using this height and the area of the base:

$V=\frac{A_{b}h}{3}$

$V=\frac{(64in^2)(9.165in)}{3} \\V=195.5in^3$

rounding to the nearest cubic inch: $V=196in^3$

4 0

3 years ago

PLEASE HELP ME I ONLY HAVE 20 MINUTES!!!!

Over [174]

$h(x) = 40x - 16x^2\\h(x) = 15\\40x - 16x^2 = 15\\-16x^2 + 40x - 15 = 0\\$

Using the quadratic formula we get

$x_1 = 0.5\\x_2 = 2.04$

Therefore the tennis ball is at least 15 feet above the ground from 0.5 seconds to 2.04 seconds

7 0

3 years ago

Evaluate the sum of the following finite geometric series.<br> 5+15+45 +135+ . . . + 1215<br> Sn=1

Nata [24]

Answer:

1820

Step-by-step explanation:

The sum of the first n terms of a geometric series with common ratio r and first term a is:

a(1-r^n)/(1-r). Plugging this in 5(1-3^6)/(1-3)=1820

5 0

3 years ago