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Paraphin [41]
3 years ago
14

There are 3 in. of snow on the ground when it begins to snow 0.5 in./h . Which linear equation represents the total depth of the

snow, in inches, after x hours?
Mathematics
2 answers:
dexar [7]3 years ago
7 0

There are 3 in. of snow on the ground when it begins to snow 0.5 in./h.

Initial depth of snow = 3 in.

it begins to snow 0.5 in./h. The constant rate of snow is 0.5. So slope = 0.5

Let x be the number of hours

y be the total depth of the snow

To frame linear equation we use y=mx+b

where m is the slope and b is the y intercept (initial depth of snow)

We know m=0.5  and b=3

Replace it in the equation

y = 0.5x + 3

The linear equation that represents the total depth of the snow(y), in inches, after x hours

is y= 0.5x + 3


Strike441 [17]3 years ago
4 0

Answer:

y=0.5x+3

Step-by-step explanation:

I took the quiz and got 100%.

Good luck and have a great day!

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if you are picking a number 1-20 what is the probability that you will pick an even number or multiple of three
natulia [17]

Answer:

1/2

Step-by-step explanation:

3 0
4 years ago
(x+2) is one of the factors of the polynomial x³+13x²+32x+20. Find its remaining factors.
Liula [17]

Answer:

x^2+11x+10

or

(x+1)(x+10) since you can factor x^2+11x+10

Step-by-step explanation:

Let's do synthetic division.

We are dividing by x+2, so -2 will be on the outside. Like this:

-2 |         1          13          32         20

   |                     -2        -22         -20

   |___________________________

             1          11           10            0

The remainder is 0, so (x+2) is indeed a factor of x^3+13x^2+32x+20.

The other factor we found by doing this is (x^2+11x+10).

You can find more factors by factoring x^2+11x+10.

Two numbers that multiply to be 10 and add to be 11 is 10 and 1 so the factored form of x^2+11x+10 is (x+10)(x+1).

6 0
3 years ago
the calorie cafe is known for their hotdogs and burgers. the number of calories in a burger is 220 more than the number of calor
meriva

Answer:

  • Number of calories in burger = 620 calories
  • Number of calories in hotdog = 400 calories

Step-by-step explanation:

Number of calories in burger = x

Number of calories in hotdog = y

y = x - 220

x + 2y = 1,420

Substitution:

x + 2 * (x - 220) = 1,420

x + 2x - 440 = 1,420

3x = 1,420 + 440

x = 1,860 / 3

x = 620 calories

y = x - 220

= 620 - 220

= 400 calories

6 0
3 years ago
Evaluate the definite integral. 1/4 csc(2πt) cot(2πt) dt 1/12
Afina-wow [57]
Hey there, hope I can help!

\frac{1}{4}\csc \left(2\pi t\right)\cot \left(2\pi t\right)dt\frac{1}{12}

\mathrm{Multiply\:fractions}: \:a\cdot \frac{b}{c}\cdot \frac{d}{e}=\frac{a\:\cdot \:b\:\cdot \:d}{c\:\cdot \:e} \ \textgreater \  \frac{1\cdot \:1\cdot \:dt}{4\cdot \:12}\csc \left(2\pi t\right)\cot \left(2\pi t\right)

\mathrm{Apply\:rule}\:1\cdot \:a=a \ \textgreater \  \frac{dt}{4\cdot \:12}\csc \left(2\pi t\right)\cot \left(2\pi t\right)

\mathrm{Multiply\:the\:numbers:}\:4\cdot \:12=48 \ \textgreater \  \frac{dt}{48}\csc \left(2\pi t\right)\cot \left(2\pi t\right)

\mathrm{Multiply\:fractions}: \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c} \ \textgreater \  \frac{dt\csc \left(2\pi t\right)\cot \left(2\pi t\right)}{48}

Hope this helps!
5 0
3 years ago
The scale factor of S to T is 4:1
solong [7]

Answer:

Scale Factor - Finding Sides. L1S1. 3) Scale factor of S to T is 4 : 1. ; x = y = 4) Scale factor of G to H is 1 : 7. ; x = y = 20 yd. 10 yd. S. T.

Step-by-step explanation:

<em> A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object. If the scale factor is a whole number, the copy will be larger. If the scale factor is a fraction, the copy will be smaller.</em>

<em />

<em />

<em />

<em>Hope this helps:) Have a great day! </em>

<em>Brainliest?</em>

6 0
2 years ago
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