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3 years ago

Question 1(Multiple Choice Worth 4 points)

1 answer:

4 0

I think you mean x^2 - 7x + 8
This is a basic factoring problem:
What two numbers multiply to make 8 and add to make -7?
There are no two numbers that work!
Therefore, it is prime

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What noise is used to signify someone dying of an

Brut [27]

A bell ringing is the answer

8 0

3 years ago

How long is the edge of a cube whose volume is twice that of the cube below? Round to the nearest tenth.

Basile [38]

Answer:

$\large\boxed{10.1\ cm}$

Step-by-step explanation:

The formula of a volume of a cube:

$V=a^2$

a - length of the edge

We have a = 8cm. Substitute:

$V=8^3=512\ cm^3$

The volume of second cube:

$V'=2V\to V'=2(512\ cm^3)=1024\ cm^3$

The length of the edge of the second cube (b):

$b^3=1024\to b=\sqrt[3]{1024}\ cm^3$

$1024=2^{10}=2^{9+1}=2^9\cdot2$

Used $a^n\cdot a^m=a^{n+m}$

$b=\sqrt[3]{1024}=\sqrt[3]{2^{10}}=\sqrt[3]{2^9\cdot2}=\sqrt[3]{2^9}\cdot\sqrt[3]{2}$

Use $(a^n)^m=a^{nm}$

$=\sqrt[3]{2^{3\cdot3}}\cdot\sqrt[3]{2}=\sqrt[3]{(2^3)^3}\cdot\sqrt[3]{2}$

Use $\sqrt[3]{a^3}=a$

$=2^3\sqrt[3]{2}=8\sqrt[3]{2}\ cm$

$\sqrt[3]{2}\approx1.26\to b\approx8(1.26)\approx10.1\ cm$

Other method:

$V'=2V\\\\V=a^3,\ V'=b^3\to b^3=2a^3\to b=\sqrt[3]{2a^3}\\\\b=a\sqrt[3]2$

$a=8\ cm\to b=8\sqrt[3]2\ cm\approx10.1\ cm$

3 0

4 years ago

How many solutions does this equation have?<br><br> –2m − 2m = –4m

mariarad [96]

Answer:

Infinitely many

Step-by-step explanation:

$-2m-2m=-4m$

Combine −2m and −2m to get −4m.

$-4m=-4m$

Add 4m to both sides.

$-4m+4m=0$

Combine −4m and 4m to get 0.

0=0

Compare 0 and 0.

True

This is true for any m.

m∈R\

Hope this helps! Brainliest would be much appreciated! Have a great day! :)

3 0

2 years ago

The flower color of bigleaf hydrangeas is determined by the soil's pH. A gardener growing blue hydrangeas believes that lime may

barxatty [35]

PH is calculated by the negative logarithm of the hydrogen concentration in a solution. Therefore, the pH in this case is:

pH = -log (0.0000006)
pH = 6.22

Therefore the correct answer among the choices is the last option, pH of 6 with a color pink.

8 0

4 years ago

A jet plane flies at 12 mph. At that speed, how far does it travel in 18 minutes?

Fed [463]

Given that the plane flies at 12mph

⇒ 1 hour = 12 miles

---------------------------------------------------------------------------------------------
Rewrite 1 hour as 60 mins
---------------------------------------------------------------------------------------------
60 mins = 12 miles

---------------------------------------------------------------------------------------------
Find 1 minute
---------------------------------------------------------------------------------------------
1 min = 12 ÷ 60
1 min = 0.2 miles

---------------------------------------------------------------------------------------------
Find 18 minutes
---------------------------------------------------------------------------------------------
1 min = 0.2 miles
18 mins = 0.2 x 18
18 mins = 3.6 miles

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Answer: The jet plane traveled 2.6 miles in 18 minutes.
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5 0

4 years ago