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3 years ago

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Mathematics

1 answer:

FrozenT [24]3 years ago

7 0

Answer:

Step-by-step explanation:

For the first 30 hours, Andrew will earn 4(30) = $120. For each additional hour beyond 30 that Andrew works, he will earn 5(h - 30). Therefore, the function that gives Andrew's total wages when he works more than 30 hours is:

w = 120 + 5(h - 30).

So, if he works 35 hours, he will earn:

120 + 5(35 - 30) = 120 + 5(5) = 120 + 25 = $145.

If he works 42 hours, he will earn:

120 + 5(42 - 30) = 120 + 5(12) = 120 + 60 = $180.

I hope this helps!

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Find the equation of the sphere in standard form centered at (−6,10,5) with radius 5.

Dovator [93]

Answer:

The equation of the sphere in standard form is

$x^{2} +y^{2}+z^{2} +12 x-20 y-10 z+136=0$

Step-by-step explanation:

Step 1:-

The equation of the sphere having center and radius is

$(x-h)^{2} +(y-k)^{2} +(z-l)^{2} = r^{2}$

Given centered of the sphere is (-6,10,5) and radius r=5

$(x-(-6))^{2} +(y-10)^{2} +(z-5)^{2} = 5^{2}$

on simplification,we get

$using (a+b)^{2} =a^{2} +2 a b+b^{2}$

$using (a-b)^{2} =a^{2} -2 a b+b^{2}$

simplify , we get

$x^{2} +y^{2}+z^{2} +12 x-20 y-10 z+136=0$

8 0

3 years ago

Tilda buys a shirt for d dollars. She uses a $50 gift card and receives $22.50 in change Write an equation for this.

luda_lava [24]

Answer:

$50 - d = $22.50

Step-by-step explanation:

Since she's receiving a change, it means that d is smaller than $50, therefore, it will be deducted from it to give the change.

4 0

2 years ago

Divide £12 between mick and sharon in the ratio 2:4

antiseptic1488 [7]

Answer:mick share is £4 while Sharon share is £8

Step-by-step explanation:

Money to be shared=£12

Mick : sharon=2:4

Sum of ratio=2+4=6

Mick share=2/6 x 12

Mick share=(2x12)/6

Mick share=24/6

Mick share=4

Sharon share=4/6 x 12

Sharon share=(4x12)/6

Sharon share=48/6

Sharon share=8

6 0

3 years ago

The probability that a household owns a pet is 0. 55. Suppose there are 5 houses on a block. Assuming each household is independ

Alexandra [31]

If the probability that a household owns a pet is 0.55 then the probability that all households will have pets is equal to 0.0503.

Given that the probability that a household owns a pet is 0.55 and there are 5 houses on a block.

We are required to calculate the probability that all the five households will have pets.

Probability is basicallly the chance of happening an event among all the events possible. It cannot be negative.

Binomial probability distribution is basically the probability calculations but in different combinations.

In this we have to calculate the probability that all the houses will have the pets then the probability that all five households will have pets is equal to $5C_{5}(0.55)^{5} (1-0.55)^{0}$

=1(0.0503) $(0.45)^{0}$

=1*0.0503*1

=0.0503

Hence the probability that all the five households will have pets is equal to 0.0503.

Learn more about probability at brainly.com/question/24756209

#SPJ4

6 0

1 year ago

Convert the time. Enter your answer in the box. 4 minutes 53 seconds = seconds

ch4aika [34]

Answer:

293 seconds

Step-by-step explanation:

60*4=240

240+53=293

3 0

3 years ago