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SVEN [57.7K]
3 years ago
11

The straight lines y = px + 9, where p is a constant, and y = ½ x – 1 are perpendicular. (a) State the value of p *​

Mathematics
1 answer:
REY [17]3 years ago
5 0

Answer:

14587676

Step-by-step explanation:

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Semmy [17]

Answer:

Step-by-step explanation:

4 0
3 years ago
9) The Diaz family is creating a net worth statement summary.
alexandr402 [8]

Thanks for the free points

7 0
4 years ago
The sparky valley barbershop quartet made appearances in Quakertown and Doleystown. The hotel charge before taxes in Doleystown
joja [24]

Answer:

The hotel at Qakertown charged $5000 before tax while the hotel at Doleystown charged $5,500 before tax

Step-by-step explanation:

In this question, we have a musical band that visited two different towns which hotel charge different amounts at different tax rate. We are now given the total amount in taxes and now asked to calculate what is charged in each of the towns.

Let’s proceed!

Since we do not know the amount charged in each of the towns, let the amount charged at the hotel at Quakertown be $x and the amount charged at the hotel at Doleytown be $y.

Doley charged $500 more then what is charged at Quaker.

Mathematically;

y = 500 + x •••••••••••••••(I)

Let’s now work with the taxes;

Tax rate at Doley is 6% or say 0.06; the amount of tax paid at Doley is thus 0.06y

Tax rate at Quaker is 3% or say 0.03; the amount of tax paid at Quaker is thus 0.03x

Mathematically;

0.06y + 0.03x= 480 •••••••••(ii)

We can substitute i into ii

0.06(500 + x ) + 0.03x = 480

30+ 0.06x + 0.03x = 480

30 + 0.09x = 480

0.09x = 480 - 30

0.09x = 450

x = 450/0.09

x = $5,000

y = 500 + x

y = 500 + $5000 = $5,500

5 0
3 years ago
Gina says that she can find the length of the diagonal, c, of the rectangular prism by using the Pythagorean theorem twice.
Elena L [17]

Answer:

\sqrt{149\\ \\

However, that's the length of "c" and you're looking to drag it in. So,o you drag in 10^2+7^2=a^2.

Then, as shown by the first picture attatched, you can drag in the one with "c" and "a" with the five shown.

Step-by-step explanation:

To find "c" the diagonal, as explained, you need to use the theorem twice. You can first use it by finding "a", as you already have "b". To find a, you do 10^2+7^2=a^2, the hypotenuse.

100+49=149.

So, a is root 149.

a^2+b^2=c^2 so

149+25=174

5 0
3 years ago
At 9 AM there are 37 bacteria in a dish and they start doubling every 15 minutes. At t = 274 minutes an
givi [52]

Answer:

5,035,041

Step-by-step explanation:

Exponential growth:

y = a(1 + r)^{x}

y = future amount

a = initial amount

r = growth rate

x = number of periods

Part A: growth at the rate of doubling each 15 minutes for 274 minutes

Each period is 15 minutes.

a = 37

x = 274/15 = number of periods

r = 100%

y = 37(1 + 1)^{\frac{274}{15}

-------------------------------------------------------------------------------------

Exponential decay:

y = a(1 - r)^{x}

The growth takes place from 9 AM for 274 minutes, or 4 hours and 34 minutes, until 1:34 PM. The decay goes from 1:34 PM to 7 PM, or 5 hours and 26 minutes, or 326 minutes

Part B: decay at the rate of 6% each 24 minutes for 326 minutes

y = 37(1 + 1)^{\frac{274}{15}}(1 - 0.06)^{\frac{326}{24}}

y = 5035041

Answer: 5,035,041

8 0
3 years ago
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