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3 years ago

HELP!! 4. (01.02 MC) Which number line shows the solution to -3- (-1)? (1 point) o

Mathematics

1 answer:

statuscvo [17]3 years ago

6 0

Answer:

<em>The third choice gives the correct sequence.</em>

Step-by-step explanation:

<u>The Number Line</u>

To represent numbers in the line, we use arrows starting from the mark for zero up to the given number. If the number is positive, the arrow points to the right and if the number is negative, the arrow points to the left.

The number -3 must be represented as an arrow to the left side of length 3. Subtracting something from the number should also point to the left side, but if the number is negative, then the new arrow points to the right side.

To subtract -1, the arrow should point to the right starting from -3

The third choice gives the correct sequence.

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A quantity with an initial value of 8600 grows exponentially at a rate of 20% every 2 minutes. What is the value of the quantity

Hatshy [7]

Answer:

23400 x 8/100 = 1872 = the loss

1872 : 12 = 156= the loss each month

156/1872*100% = 8.33 % then round it

3 0

3 years ago

A truck can be rented from Company A for $70 a day plus $0.20 per mile. Company B charges $20 a day plus $0.40 per mile to r

Otrada [13]

Answer:

For Company A to have a better deal, the truck must be driven more than 250 miles per day.

Step-by-step explanation:

Given that:

Rent per day of company A = $70

Per mile charges = $0.20

Let,

x be the number of miles.

A(x) = 0.20x + 70

Rent per day of company B = $20

Per mile charges = $0.40

B(x) = 0.40x + 20

For make Company A better deal,

A(x) > B(x)

0.20x+70 > 0.40+20

0.20x-0.40x>20-70

-0.20x>-50

Dividing both sides by -0.20

$\frac{-0.20x}{-0.20}>\frac{-50}{-0.20}\\x>250$

Hence,

For Company A to have a better deal, the truck must be driven more than 250 miles per day.

8 0

3 years ago

Please help ASAP!

Kruka [31]

First, recall that

$\sin(-\theta)=-\sin\theta$

So if $\sin(-\theta)=\dfrac15$ , then $\sin\theta=-\dfrac15$ .

Second,

$\tan\theta=\dfrac{\sin\theta}{\cos\theta}$

We know that $\tan\theta>0$ and $\sin\theta$ , which means we should also have $\cos\theta$ .

Third,

$\sin^2\theta+\cos^2\theta=1\implies\cos\theta=\pm\sqrt{1-\sin^2\theta}$

but as we've already shown, we need to have $\cos\theta$ , so we pick the negative root.

Finally,

$\tan\theta=\dfrac{\sin\theta}{\cos\theta}\iff\dfrac6{\sqrt{12}}=\dfrac{-\frac15}{\cos\theta}\implies\cos\theta=-\dfrac1{5\sqrt3}$

Unfortunately, none of the given answers match, so perhaps I've misunderstood one of the given conditions... In any case, this answer should tell you everything you need to know to find the right solution from the given options.

6 0

4 years ago

There are 22 rows of seats on a concert hall: 23 seats are in the 1st row, 27 seats on the 2nd row, 31 seats on the 3rd row, and

JulijaS [17]

We can model this situation with an arithmetic series.
we have to find the number of all the seats, so we need to sum up the number of seats in all of the 22 rows.

1st row: 23
2nd row: 27
3rd row: 31
Notice how we are adding 4 each time.

So we have an arithmetic series with a first term of 23 and a common difference of 4.

We need to find the total number of seats. To do this, we use the formula for the sum of an arithmetic series (first n terms):

Sₙ = (n/2)(t₁ + tₙ)

where n is the term numbers, t₁ is the first term, tₙ is the nth term

We want to sum up to 22 terms, so we need to find the 22nd term

Formula for general term of an arithmetic sequence:

tₙ = t₁ + (n-1)d,

where t1 is the first term, n is the term number, d is the common difference. Since first term is 23 and common difference is 4, the general term for this situation is

tₙ = 23 + (n-1)(4)

The 22nd term, which is the 22nd row, is

t₂₂ = 23 + (22-1)(4) = 107

There are 107 seats in the 22nd row.

So we use the sum formula to find the total number of seats:

S₂₂ = (22/2)(23 + 107) = 1430 seats

Total of 1430 seats.
If all the seats are taken, then the total sale profit is

1430 * $29.99 = $42885.70

4 0

3 years ago

yesterday Noah ran 2 1/2 miles in 3/5 hour. emily ran 3 3/4 miles in 5/6 hour. Anna ran 3 1/2 miles in 3/4 hour. how fast, in mi

otez555 [7]

Answer:

Anna

Step-by-step explanation:

she was the fastest

5 0

3 years ago