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2 years ago

Dominique paid $15.50 to join an online music service. If

Mathematics

2 answers:

frozen [14]2 years ago

6 0

Answer:

94.7

Step-by-step explanation:

mote1985 [20]2 years ago

5 0

First you will have to calculate how much she spends on the songs per month so you will have to times how many songs she purchases (10) by how much they cost ($0.99) so

10x$0.99=$9.90

then you will need to times the amount she spends per month ($9.90) by how many months (8)

$9.90x8=$79.20

last you will need to add the amount she paid to join ($15.50) and the total amount she payed on songs in 8 months ($79.20)

$15.50+$79.20=$94.70

so the total amount she spent after 8 months is $94.70

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Consider the equation pV=kTN , where k is a constant. Select all of the correct answers that describe the variation between vari

Mumz [18]

Answer:

See below

Step-by-step explanation:

Rule: If the variables are on the same side of the equal sign, they vary INVERSELY.

If the variables are on the opposite side of the equal Sign, they very DIRECTLY.

a) T and V

Opposite sides
Directly

b) p and T

Opposite Sides
Directly

c) N and V

Opposite Sides
Directly

d) N and T

Same Side
Inversely

e) p and N

Opposite Sides
Directly

f) V and P

Same Side
Inversely.

4 0

2 years ago

Iliana claims that she can construct a triangle from a 12-inch rod, a 36-inch rod, and a 39.4-inch rod. Which statement explains

antoniya [11.8K]

Answer:
Iliana will be able to construct a triangle because the sum of any two sides is greater than the third side.

6 0

2 years ago

Read 2 more answers

. A 25-ft ladder is leaning against a wall. If we push the ladder toward the wall at a rate of 1 ft/sec, and the bottom of the l

Vlada [557]

Answer:

0.75 feet per second.

Step-by-step explanation:

Please find the attachment.

We have been given that a 25-ft ladder is leaning against a wall. We can see from the attachment that ladder forms a right triangle with respect to wall and ground.

So we can set a Pythagoras theorem as:

$x^2+y^2=25^2$

$x^2+y^2=625$

Now, we need to find the derivative of above equation with respect to time.

$2x\cdot \frac{dx}{dt}+2y\cdot \frac{dy}{dt}=0$

Since the adder is moving toward the wall at a rate of 1 ft/sec for 5 sec, so x after 5 seconds would be: $20-1(5)=20-5=15$

Let us solve for y using Pythagoras theorem.

$y^2+15^2=25^2$

$y^2+225=625$

$y^2=625-225$

$y^2=400$

Take positive square root:

$\sqrt{y^2}=\sqrt{400}$

$y=20$

Upon substituting our given values in derivative equation, we will get:

$2x\cdot \frac{dx}{dt}+2y\cdot \frac{dy}{dt}=0$

$2(15)\cdot(-1)+2(20)\cdot \frac{dy}{dt}=0$

$-30+40\cdot \frac{dy}{dt}=0$

$40\cdot \frac{dy}{dt}=30$

$\frac{dy}{dt}=\frac{30}{40}$

$\frac{dy}{dt}=0.75$

Therefore, the ladder is moving up at a rate of 0.75 feet per second.

3 0

2 years ago

Food costs are expected to rise 6% each month for the next year. Which series correctly depicts the cost (to the nearest cent) f

alexira [117]

For this case we have the following equation:
y = 150 * (1.06) ^ t
For the first month we have:
y = 150 * (1.06) ^ 1
y = 159 $
For the second month we have:
y = 150 * (1.06) ^ 2
y = 168.54 $
For the third month we have:
y = 150 * (1.06) ^ 1
y = 178.65 $
Answer:
d. $ 159.00 + $ 168.54 + $ 178.65

4 0

2 years ago

Read 2 more answers

A pendulum is set swinging. its first oscillation is through 30 and each succeeding oscillation is through 95% of the angle of t

Marat540 [252]

Answer-

After 76 swings the angle through which it swings less than 1°

Solution-

From the question,

Angle of the first of swing = 30° and then each succeeding oscillation is through 95% of the angle of the one before it.

So the angle of the second swing = $(30\times \frac{95}{100})^{\circ}$