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user100 [1]
3 years ago
14

John and Gary share a workload. At a certain point, John worked 2 more hours than Gary. The next day, John has worked 4 of Gary’

s usual hours. How many more hours has John worked than Gary?
Mathematics
1 answer:
il63 [147K]3 years ago
4 0
If these both men were working at normal hours, and then, (John) worked "2 more hours" than Gary has, this would just mean that he has worked more.

x+2= x+2.

Now if John has worked the double amount, 4 more times than Gary's usual hours, this would mean something quite different.

Then the expression would look like, (x+2×4x)

We don't know how many hours are the "usual hours", this is what "x" would then represent.

John has then worked (4×2+x) more hours than Gary.

Your answer: (4×2+x)
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Alenkasestr [34]
<h3>Given</h3>

tan(x)²·sin(x) = tan(x)²

<h3>Find</h3>

x on the interval [0, 2π)

<h3>Solution</h3>

Subtract the right side and factor. Then make use of the zero-product rule.

... tan(x)²·sin(x) -tan(x)² = 0

... tan(x)²·(sin(x) -1) = 0

This is an indeterminate form at x = π/2 and undefined at x = 3π/2. We can resolve the indeterminate form by using an identity for tan(x)²:

... tan(x)² = sin(x)²/cos(x)² = sin(x)²/(1 -sin(x)²)

Then our equation becomes

... sin(x)²·(sin(x) -1)/((1 -sin(x))(1 +sin(x))) = 0

... -sin(x)²/(1 +sin(x)) = 0

Now, we know the only solutions are found where sin(x) = 0, at ...

... x ∈ {0, π}

8 0
3 years ago
A spherical balloon has a circumference of 25 cm.
ArbitrLikvidat [17]

Answer:

See below ↓↓

Step-by-step explanation:

<u>Finding the radius</u>

  • C = 2πr
  • 25 = 2 x 3.14 x r
  • r = 25 / 6.28
  • r = 3.98 cm ≅ 4 cm

<u />

<u>Surface Area</u>

  • 4πr²
  • 4 x 3.14 x 4 x 4
  • 3.14 x 64
  • 200.96
  • <u>201 cm²</u>

<u></u>

<u>Volume</u>

  • 4/3πr³ = 4πr² x r/3
  • 201 x 4/3
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4 0
2 years ago
Which scales are equivalent to the scale 1cm to 5km? More than one is the right answer
Oduvanchick [21]
The answer would be A because each side is being multiplied by 3
8 0
3 years ago
Read 2 more answers
Find the x- and y-intercept of the line x+4y=36
blagie [28]

Answer:

x=36

y=9

Step-by-step explanation:

Plug in 0 for x to find the y-intercept

0 + 4y = 36

4y = 36

y = 9

y-intercept (0, 9)

Plug in 0 for y to find the x-intercept

x + 4(0) = 36

x = 36

x-intercept (36, 0)

4 0
3 years ago
Which function has zeros at x = 10 and x = 2? f(x) = x2 – 12x + 20 f(x) = x2 – 20x + 12 f(x) = 5x2 + 40x + 60 f(x) = 5x2 + 60x +
4vir4ik [10]
To find the correct function, just plug in 10 and 2 to see if the function equals zero with both numbers.

f(x)=x^2-12x+20
f(10)=100-120+20
f(10)=0         --> that's what we want, so let's check the other number

f(x)=x^2-12x+20
f(2)=4-24+20
f(2)=0          --> perfect. this function has zeros at both x=10 and x=2

The function that has zeros at both x=10 and x=2 is f(x)=x^2-12x+20.
5 0
3 years ago
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