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3 years ago

5

A right rectangular pyramid is sliced parallel to the base, as shown.

1 answer:

Natali5045456 [20]3 years ago

6 0

#1 15cm^2. ====> Good Luck! <====

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Find the vertex of this parabola.<br><br><br><br> y = -2x2 + 4x + 12

STatiana [176]

For this case we have the following equation:
$y = -2x ^ 2 + 4x + 12
$
Deriving we have:
$y = -2x ^ 2 + 4x + 12

y '= -4x + 4$
We match zero:
$-4x + 4 = 0
$
We clear the value of x:
$4x = 4

x = 4/4

x = 1$
Then, we substitute the value of x in the equation of the parabola:
$y = -2 (1) ^ 2 + 4 (1) + 12

y = -2 + 4 + 12

y = 14$
Thus, the vertex of the parabola is the ordered pair:
$(x, y) = (1, 14)$
Answer:
The vertice is:
$(x, y) = (1, 14)$

3 0

3 years ago

The average annual salary for a teacher nationally is $58,353. This is projected to increase 2% per year for the next 4 years. W

mario62 [17]

Answer:

$\$63,163.16$

Step-by-step explanation:

we know that

The equation of a exponential growth function is equal to

$y=a(1+r)^x$

where

y is the average annual salary

x is the number of years

r is the rate of change

a is the initial value

In this problem we have

$a=58,353\\r=2\%=2/100=0.02$

substitute

$y=58,353(1+0.02)^x$

$y=58,353(1.02)^x$

For x=4 years

$y=58,353(1.02)^4=\$63,163.16$

4 0

3 years ago

Write 171 miles in 3 hours as a unit rate

rewona [7]

171 ÷ 3 = 57

So, that means it's 57 mph

7 0

3 years ago

You receive an order for Ceftriaxone 125 mg IM if you use ceftriaxone 1g/ 9.6 ML to fill the order how many ML draw up

alekssr [168]

Answer:

The ML draw up = 1.2 ML

Step-by-step explanation:

we are told that concentration of Ceftriaxone = 1g/ 9.6ML

This means that:

9.6 ML contains 1g ceftriaxone

1g = 9.6 ML

note also that 1g = 1000mg

∴ 1000mg = 9.6 ML

∴ 1mg = (9.6 ÷ 1000) ML

1mg = 0.0096 ML

∴ 125 mg = 125 × 0.0096 = 1.2 ML

Therefore, 1.2 ML will be drawn up

8 0

3 years ago

Find the missing factor "B" that makes the following equality true.

Olenka [21]

Answer:

gguj

Step-by-step explanation:

yyyyyyyyyy

3 0

3 years ago