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3 years ago

14

Judy buys dorito bags $0.40 each and sold them for $1.00 each. what was the percent increase

1 answer:

myrzilka [38]3 years ago

6 0

Getting the percentage increase, we can form the formula or equation.
Percentage increase = ($1.00 - $0.40) / $0.40 * 100
<span>Percentage increase = ($0.60) / $0.40 * 100
</span><span>Percentage increase = 1.5 * 100
</span><span>Percentage increase = 150%
</span>
So there is a 150% increase from the original price.

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When converting a percent (%) into a decimal (.), you move the decimal point 3 places to the right. When converting a percent (%

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Answer:

The decimal point moves 2 places to the right.

Step-by-step explanation:

EX:

decimal: .95

percent: 95%

the decimal point moves 2 places to the right

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3 years ago

Consider the following function.f(x) = 16 − x2/3Find f(−64) and f(64).

malfutka [58]

Answer: $f(-64)=0$

$f64)=0$

Step-by-step explanation:

The given function : $f(x)=16-x^{2/3}$

When we substitute x= -64, we get

$f(x)=16-(-64)^{2/3}$

Since , $64=4\times4\times4=4^3$

So, $-64=-4\times-4\times-4=-4^3$

That means $f(-64)=16-(-64)^{2/3}=16-(-4^3)^{2/3}$

$=16-(-4)^2=16-(-4\times-4)=16-16=0$

i.e. $f(-64)=0$

Similarly, When we substitute x= 64, we get

$f(x)=16-(64)^{2/3}$

Since , $64=4\times4\times4=4^3$

That means $f(64)=16-(64)^{2/3}=16-(4^3)^{2/3}$

$=16-(4)^2=16-16=0$

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4 years ago

Determine whether the triangle is a right triangle. Explain your reasoning. If it is not a right triangle, determine whether it

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Answer:

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3 years ago

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3 years ago

Calculate the angle between (2,2,4) and (2,-1,1). The result is a familiar angle, so the answer is to be given exactly.

andrew-mc [135]

Answer:

The angle between $(2,2,4)$ and $(2,-1,1)$ is 60º.

Step-by-step explanation:

From linear algebra, we can determine the angle between both vectors by definition of dot point:

$\cos \theta = \frac{\vec u\bullet \vec v}{\|\vec u\|\cdot \| \vec v\|}$ (1)

Where:

$\vec u$ , $\vec v$ - Vectors.

$\|\vec u\|$ , $\|\vec v\|$ - Norms of vectors.

$\theta$ - Angle between vectors, measured in sexagesimal degrees.

If we know that $\vec u = (2,2,4)$ and $\vec v = (2,-1,1)$ , then angle between vectors is:

$\|\vec u\| = \sqrt{\vec u\bullet \vec u}$ (2)

$\|\vec u\| = \sqrt{2^{2}+2^{2}+4^{2}}$

$\|\vec u\| \approx 4.899$

$\|\vec v\| = \sqrt{\vec v\bullet \vec v}$ (3)

$\|\vec v\| = \sqrt{2^{2}+(-1)^{2}+1^{2}}$

$\|\vec v\| \approx 2.450$

$\vec u \bullet \vec v = (2,2,4)\bullet (2,-1,1)$

$\vec u \bullet \vec v = 4-2+4$

$\vec u \bullet \vec v = 6$

$\cos \theta = \frac{6}{(4.899)\cdot (2.450)}$

$\cos \theta = 0.5$

$\theta = 60^{\circ}$

The angle between $(2,2,4)$ and $(2,-1,1)$ is 60º.

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3 years ago