Which function or functions have a slope equal to the slope of Function 1?

Plzzz Help ASAP! This image shows a square pyramid what is the surface area of this square pyramid?

padilas [110]

Answer:

$72\ ft^{2}$

Step-by-step explanation:

we know that

The surface area of the square pyramid is equal to the area of the square base plus the area of its four lateral triangular faces

so

$SA=b^{2}+4[\frac{1}{2}bh]$

where

b is the length side of the square base

h is the height of the triangular face

Remember that

Each lateral triangular face is a triangle 45°-90°-45°

so

$h=b/2$

we have

$b=6\ ft$

so

$h=6/2=3\ ft$

substitute in the formula

$SA=6^{2}+4[\frac{1}{2}(6)(3)]=72\ ft^{2}$

7 0

4 years ago

Arturo invests $2700 in a savings account that pay 9% interest, compounded quarterly. If there are no other transactions, when w

Sedbober [7]

The correct formula for this is as follows:
$A=P(1+\frac{r}{n})^{nt}$
where n is the number of compounding periods per year, and r is the annual interest rate as a decimal,
Plugging the given values into the formula, we get:
$4550=2700(1+\frac{0.09}{4})^{4t}$
This equation can be simplified to:
$1.6852=(1.0225)^{4t}$
Taking logs of both sides gives:
$log 1.6852=4t\times log 1.0225$
which can be rearranged to get:
$t=\frac{log 1.6852}{4\times log 1.0225}=5.864$
So it will take about 5.864 years for the amount to reach $4550.

5 0

3 years ago

Mark is draining his pool to clean it. At 12:00 P.M., he started to drain the pool. At 4:00 P.M., the pool had 11,600 gallons of

katrin2010 [14]

12:00 P.M. to 7:00 P.M. is a total of 7 hours.
4:00 P.M. to 7:00 P.M. is a total of 3 hours.

This means that from 4:00 p.m to 7:00 P.M. this represents 3/7 of what was lost from 12:00 P.M. to 7:00 P.M.

After knowing this, after doing 11,600 - 6,800 = 4,800
4,800 represents 3/7 of what was lost for 7 hours.
We then divide 4,800 by 3 which gets 1,600.

Because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200. After adding 11,200 to how much water was left at 7:00 P.M. which was 6,800. 11,200 + 6,800 = 18,000

This means that the pool originally had 18,000 gallons in the pool.

You can also check your work by doing 18,000 - 4(1600), which becomes 1800 - 6400 which gets you 11,600.

6 0

3 years ago

Two events A and B are independent with Upper P left-parenthesis Upper A right-parenthesis equals Upper P left-parenthesis Upper

soldi70 [24.7K]

Answer:

The value of P (A ∩ B) is 0.25.

Step-by-step explanation:

Independent events are those events that do not effect the occurrence of each other, i.e. if event X and Y are independent then the occurrence of X and Y are not influenced by each other.

For independent events X and Y the joint probability of X and Y is:

$P (X\cap Y)=P(X)\times P(Y)$