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3 years ago

15

A digital camera with an original price tag of $500 was marked down by 40%. You have a coupon good for an additional 30% off. Wh

at is the effective decay factor?

1 answer:

Gnoma [55]3 years ago

3 0

Answer:

70%

Step-by-step explanation:

the camera is marked down 30 plus 40 which is 70%

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Andrea has a goal of running at least 50 miles this month. She has already run 7 miles. How many miles does Andrea need to run e

Nuetrik [128]

Answer:

At least 1.72 miles per day.

Step-by-step explanation:

Given: Goal of running is at least 50 miles in a month.

Andrea have already run 7 miles.

Days left in the month is 25.

As given, Andrea have already run 7 miles.

∴ Andrea need to run this month= $50\ miles - 7\ miles= 43\ miles$

Days remaining this month is 25.

Now, finding miles need to run each day to meet her goal.

Miles need to run each day= $\frac{remaining\ miles}{remaining\ days}$

⇒ Miles need to run each day= $\frac{43}{25} = 1.72\ miles$

∴ Andrea need to run at least 1.72 miles to meet her goal this month.

8 0

3 years ago

Find the area of the shaded region<br>No links or docs<br>lots of points and will mark BRAINLYEST

alexira [117]

Answer:

45 inch

Step-by-step explanation:

its just my guess don't take it serious

3 0

3 years ago

Determine if the given mapping phi is a homomorphism on the given groups. If so, identify its kernel and whether or not the mapp

shtirl [24]

Answer:

(a) No. (b)Yes. (c)Yes. (d)Yes.

Step-by-step explanation:

(a) If $\phi: G \longrightarrow G$ is an homomorphism, then it must hold

that $b^{-1}a^{-1}=(ab)^{-1}=\phi(ab)=\phi(a)\phi(b)=a^{-1}b^{-1}$ ,

but the last statement is true if and only if G is abelian.

(b) Since G is abelian, it holds that

$\phi(a)\phi(b)=a^nb^n=(ab)^{n}=\phi(ab)$

which tells us that $\phi$ is a homorphism. The kernel of $\phi$

is the set of elements g in G such that $g^{n}=1$ . However,

$\phi$ is not necessarily 1-1 or onto, if $G=\mathbb{Z}_6$ and

n=3, we have

$kern(\phi)=\{0,2,4\} \quad \text{and} \quad\\\\Im(\phi)=\{0,3\}$

(c) If $z_1,z_2 \in \mathbb{C}^{\times}$ remeber that

$|z_1 \cdot z_2|=|z_1|\cdot|z_2|$ , which tells us that $\phi$ is a

homomorphism. In this case

$kern(\phi)=\{\quad z\in\mathbb{C} \quad | \quad |z|=1 \}$ , if we write a

complex number as $z=x+iy$ , then $|z|=x^2+y^2$ , which tells

us that $kern(\phi)$ is the unit circle. Moreover, since

$kern(\phi) \neq \{1\}$ the mapping is not 1-1, also if we take a negative

real number, it is not in the image of $\phi$ , which tells us that

$\phi$ is not surjective.

(d) Remember that $e^{ix}=\cos(x)+i\sin(x)$ , using this, it holds that

$\phi(x+y)=e^{i(x+y)}=e^{ix}e^{iy}=\phi(x)\phi(x)$

which tells us that $\phi$ is a homomorphism. By computing we see

that $kern(\phi)=\{2 \pi n| \quad n \in \mathbb{Z} \}$ and

$Im(\phi)$ is the unit circle, hence $\phi$ is neither injective nor

surjective.

7 0

3 years ago

Juan is rappelling down a 495-foot cliff at a rate of 6 feet per second. Which equation would represent the height Juan is above

ss7ja [257]

Answer:

The equation is H = 495 -6t

Step-by-step explanation:

Here, we want to write an equation that will represent the height Juan is above the ground, after t seconds.

The height we want to calculate is H. The initial height is 495 foot;

At the first second, the decrease in height will be 6 * 1, at the second 6 * 2 and thus at t seconds, the decrease in height will be 6 * t = 6t

Ask the height after t seconds will be;

H = 495 - 6t

Where t represents the time in seconds

8 0

3 years ago

What is the sum of 1.15 times 0.15?

Makovka662 [10]

Answer:

0.1725

Step-by-step explanation:

7 0

3 years ago

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