All categories

2 years ago

Simplify: 5 + p > 3 A.p < 8 B.p > 8 C.p < - 2 D.p > - 2

Mathematics

2 answers:

lianna [129]2 years ago

6 0

Answer:

D) p > -2

Step-by-step explanation:

5 + p > 3

5 + p - 5 > 3 - 5

p > -2

Viktor [21]2 years ago

6 0

Answer D.p>- 2
Step by step

You might be interested in

The length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of 7 cm/s. When the length is

Hunter-Best [27]

Answer:

<em>129 </em> $cm^2/s$

Step-by-step explanation:

Increasing rate of length, $\frac{dl}{dt}$ = 9 cm/s

Increasing rate of width, $\frac{dw}{dt}$ = 7 cm/s

Length, l = 12 cm

Width, w = 5 cm

To find:

Rate of increase of area of rectangle at above given points.

Solution:

Formula for area of a rectangle is given as:

$Area = Length \times Width$

$A = l \times w$

Differentiating w.r.to t:

$\dfrac{d}{dt}A = \dfrac{d}{dt}(l \times w)\\\Rightarrow \dfrac{d}{dt}A = w \times \dfrac{d}{dt}l +l \times \dfrac{d}{dt}w$

Putting the values:

$\Rightarrow \dfrac{dA}{dt} = 5 \times 9 + 12 \times 7\\\Rightarrow \dfrac{dA}{dt} = 45 + 84\\\Rightarrow \bold{\dfrac{dA}{dt} = 129\ cm^2/sec}$

5 0

3 years ago

In Nebraska, the mean rain-fed corn yield of harvested fields are normally

NikAS [45]

Answer: 169.2 per acre are produced if a field is in the top 25%.

Step-by-step explanation:

Given: The mean rain-fed corn yield of harvested fields are normally distributed, produce 147.2 bushels per acre with a standard deviation of 33 bushels per acre.

Let X denote the mean rain-fed corn yield of harvested fields.

Let x denotes the number of bushels per acre are produced if a field is in the top 25%.

Top 25% on a density curve means , (100-25%)i.e. 75% area lies below x.

I.e.

$P(X$ .

Z-score for p-value of 0.75 (one tailed)=0.67 [By z-table]

Then, $\dfrac{x-147.2}{33}=0.6744$

$\Rightarrow\ {x-147.2}=33\times0.67\\\\\Rightarrow\ {x-147.2}=22.11\\\\\Rightarrow\ {x}=22.11+147.2=169.31$

Here approx value is 169.2 (from options).

So, 169.2 per acre are produced if a field is in the top 25%.

6 0

3 years ago

Which unit of measure would be appropriate for the area of a picture that is 20 centimeters tall and 15 centimeters wide?

Alex_Xolod [135]

Area= 300 cm squared

5 0

3 years ago

Read 2 more answers

The table shows the calories in different numbers of small tangerines. Which expression does NOT show a way to find the number o

Anni [7]

Answer:

i need a pic

Step-by-step explanation:

5 0

3 years ago

The manager at a movie theater keeps track of the number of evening tickets and matinee tickets sold each day and the total mone

azamat

Given:
63 tickets were sold.
Money collected = $742.
Evening tickets cost $14 each.
Matinee tickets cost $10 each.

Let
x = number of evening tickets sold
y = number of matinee tickets sold

Then
x + y = 63 (1)
14x + 10y = 742 (2)

From (1), obtain
y = 63 - x (3)
Substitute (3) into (2).
14x + 10(63 - x) = 742
4x + 630 = 742
4x = 112
x = 28
y = 63 - 28 = 35

Answer: 28 evening and 35 matinee tickets were sold.

7 0

3 years ago