All categories

2 years ago

P= 3⁷ × 11² and Q= 3⁴ × 7³× 11 The HCF of P and Q

Mathematics

1 answer:

Volgvan2 years ago

8 0

Answer:

3⁷ x 7³ x 11²

Just write down the product of the highest power of all the powers that appear in either or both numbers.

You might be interested in

Kronos Industries bought a desktop for $3,000. It is expected to depreciate at a rate of 10% per year. What will the value of th

kolbaska11 [484]

Answer:

$1968

Step-by-step explanation:

It will depreciate by 10% 4 times, which means that the result in the end will be <em>$3000 * (100% - 10%) * (100% - 10%) * (100% - 10%) * (100% - 10%)</em>, or, put simply, <em>x = $3000 * (0.9)⁴</em>.

Power: x = $3000 * 0.6561

Multiply: x = 1968.3 ≈ $1968

4 0

3 years ago

Identify the equation in slope-intercept form for the line that contains points (3,−10) and (6,5).

BartSMP [9]

Answer:

the answer is 5... 5- (-10) and 6-3 and divide the change by 15 and 3 and you'll get 5

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

In the △ABC, the height AN = 24 in, BN = 18 in, AC = 40 in. Find AB and BC. Consider all possible cases. Case 1 : N∈BC, AB = __,

aivan3 [116]

Answer:

Case 1:

$AB = 30$

$BC = 50$

Case 2:

$AB = 15.9$

$BC = 36.7$

Case 3: Not possible

Step-by-step explanation:

Given

See attachment for illustration of each case

Required

Find AB and BC

Case 1:

Using Pythagoras theorem in ANB, we have:

$AB^2 = AN^2 + BN^2$

This gives:

$AB^2 = 24^2 + 18^2$

$AB^2 = 576 + 324$

$AB^2 = 900$

Take square roots of both sides

$AB = \sqrt{900$

$AB = 30$

To calculate BC, we consider ANC, where:

$AC^2 = AN^2 + NC^2$

$40^2 = 24^2 + NC^2$

$1600 = 576 + NC^2$

Collect like terms

$NC^2 = 1600 - 576$

$NC^2 = 1024$

Take square roots

$NC = \sqrt{1024$

$NC = 32$

So:

$BC = NC + BN$

$BC = 32 + 18$

$BC = 50$

Case 2:

Using Pythagoras theorem in ANB, we have:

$AN^2 = AB^2 + BN^2$

This gives:

$24^2 = AB^2 + 18^2$

$576 = AB^2 + 324$

Collect like terms

$AB^2 = 576 - 324$

$AB^2 = 252$

Take square roots of both sides

$AB = \sqrt{252$

$AB = 15.9$

To calculate BC, we consider ABC, where:

$AC^2 = AB^2 + BC^2$

$40^2 = 252 + BC^2$

$1600 = 252 + BC^2$

Collect like terms

$BC^2 = 1600 - 252$

$BC^2 = 1348$

Take square roots

$BC = \sqrt{1348$

$BC = 36.7$

Case 3:

This is not possible because in ANC

The hypotenuse AN (24) is less than AC (40)

3 0

2 years ago

If (×)=×-4 wht does f(3) represent

mario62 [17]

Answer:

you plug in the 3. so you get y= 3-4 which is -1

5 0

2 years ago

Read 2 more answers

How many ml of 20 percent acid should be added to pure acid to make 70 ml of 30 percent acid?

Novay_Z [31]

Answer:

61.25%

Step-by-step explanation:

How many ml of 20 percent acid should be added to pure acid

to make 70 ml of 30 percent acid?

let x = amt of 20% mixture

then

(70-x) = amt of pure acid

0.20x + (70-x) =0 .30(70)

0.20x + 70 - x = 21

= 21 - 70

-0.8x =-49

x = 61.25%

x = +61.25 ml of 20% stuff

8 0

3 years ago

P= 3⁷ × 11² and Q= 3⁴ × 7³× 11 The HCF of P and Q​

P= 3⁷ × 11² and Q= 3⁴ × 7³× 11 The HCF of P and Q