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CaHeK987 [17]
2 years ago
10

A density graph for all the possible heights between 0 inches and 80 inches is

Mathematics
1 answer:
Dmitriy789 [7]2 years ago
4 0
Density graphs have an area of 1 to represent 100% of the possibilities.

The length is 80

80 * height = 1
Height = 1 / 80
Height = 0.0125 (D)
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Express the area of the entire rectangle.
11111nata11111 [884]

Answer:

5m^6 - 10m^5 - 5m^4

Step-by-step explanation:

<em><u>All you need to do is distribute the </u></em>5m^4<em><u> to (</u></em>m^2-2m - 1<em><u>), like so:</u></em>

(m^2-2m - 1)(5m^4)

5m^6 - 10m^5 - 5m^4

8 0
3 years ago
Please help and tell me how you did iy
Ksju [112]

Answer:

Wakaranai

Step-by-step explanation:

3 0
3 years ago
Solve each calculation. Be sure to report your answer with the correct number of significant figures.
Serjik [45]

Question:

Solve each calculation. Be sure to report your answer with the correct number of significant figures.

5.61000 dg  × 1.1010 dg  

12.0 m  ÷ 3.1415 m

Answer:

1. 5.61000dg  * 1.1010dg = 6.177 dg^2

2. \frac{12}{3.1415} = 3.8198

Step-by-step explanation:

1. 5.61000 dg  × 1.1010 dg  

We start by representing each digit using scientific notation

5.61000 = 561000 * 10^{-5}

1.1010 = 11010 * 10^{-4}

Then, Multiply both numbers

561000 * 10^{-5} * 11010 * 10^{-4}

First, rearrange

561000  * 11010 * 10^{-5} *  10^{-4}

6176610000 * 10^{-5} *  10^{-4}

From law of indices, 10^{-5} *  10^{-4} = 10^{-9};

So, we have

6176610000 * 10^{-9}

6.176610000

Because 5.61000 is given in 3 significant figures and 1.1010 is given in 4 significant figures, we approximate the result to 4 significant figures

This gives 6.177

Hence, 5.61000dg  * 1.1010dg = 6.177 dg^2

2.

12.0 m  ÷ 3.1415 m

Using proper notation

12.0 m ÷ 3.1415 m = \frac{12}{3.1415}

We start by representing 3.1415 using scientific notation

3.1415 = 31415 * 10^{-4}

By substitution;

\frac{12}{3.1415} = \frac{12}{31415 * 10^-4}

Take 10^{-4} to the numerator

\frac{12}{3.1415} = \frac{12 * 10^4}{31415}

From law of indices, 10^{4} = 10000

\frac{12}{3.1415} = \frac{12 * 10000}{31415}

Multiply

\frac{12}{3.1415} = \frac{120000}{31415}

Divide

\frac{12}{3.1415} = 3.81983129078

Because 12.0 is given in 2 significant figures and 3.1415 is given in 5 significant figures, we approximate the result to 5 significant figures

\frac{12}{3.1415} = 3.8198

5 0
4 years ago
Read 2 more answers
C D
denis23 [38]

Answer:

Option (4)

Step-by-step explanation:

Given system of equations is,

y = -x²- 4x - 3

y = 2x + 5

To get the solution of the system of equations algebraically,

2x + 5 = -x²- 4x - 3

Now combine like terms onto one side of the equation.

-x² - (4x + 2x) - (3 + 5) = 0

x² + 6x + 8 = 0

Then factorize the equation,

x² + 4x + 2x + 8 = 0

x(x + 4) + 2(x + 4) =0

(x + 2) (x + 4) = 0

x = -2, 4

Option (4) is the answer.

4 0
3 years ago
A hot air ballon ascended at the rate of 400 dreams per hot for 3 hours and 15 min. What was the total distance that the ballon
alexandr1967 [171]
If it is 400 m/s then it's the answer

v= s/t
400m/s= s/11700 195×60=11,700 sec
s= 400 × 11700
s= 4,680,000 m/s ^2

11,700×400=4,680,000
4 0
3 years ago
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