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Ivanshal [37]
3 years ago
12

28 prime factorization

Mathematics
1 answer:
sineoko [7]3 years ago
3 0

Answer:

2 x 2 x 7, or 2^2 x 7

Step-by-step explanation:

Let us use prime factorization to find the prime numbers that make up 28:

28 = 2 x 14            

2 is a prime number, 14 is not, so we have our first prime, 2.

14 = 2 x 7      

We then further break the number down into two prime numbers, 2 and 7. Since 2 and 7 are prime and we can't break them down any further our answer is 2 x 2 x 7, or 2^2 x 7.

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Ginny Jones receives $624 gross salary biweekly. Her income tax rate is 14%. Her group health plan contribution is $4.25 per pay
barxatty [35]

Answer:

take home pay $457.20

$30.78 from the raise

Step-by-step explanation:

7 0
3 years ago
The ratio of red cars to blue cars in a parking lot was 5:3. If there were 40 red <br> cars
Mars2501 [29]

Answer:

Step-by-step explanation: There are 24 blue cars. If you Multiply 5 by 8 because that is the ratio of red cars, you multiply 3 by the same number. It gives you 24

5 0
3 years ago
In a certain neighborhood, there's a sagging power line between two utility poles. The utility poles are 50 feet tall and 120 fe
e-lub [12.9K]
<h3>Answer:  33.75 feet</h3>

In fraction form, this value is equal to 135/4

33.75 ft is equivalent to 33 ft, 9 inches.

===============================================

Explanation:

Refer to the diagram below.

The key point to start with is point H, which is the vertex of the parabola.

Recall that vertex form is

y = a(x-h)^2 + k

What we'll do is plug in the vertex (h,k) = (60,30) which is the location of point H. We'll also plug in (0,45) which is the y intercept, aka the location of point C.

So,

y = a(x-h)^2 + k

y = a(x-60)^2 + 30 .... plug in vertex

45 = a(0-60)^2 + 30 .... plug in y intercept coordinates

45 = a(-60)^2 + 30

45 = a(3600) + 30

45 = 3600a + 30

45-30 = 3600a

3600a = 15

a = 15/3600

a = 1/240

This then means:

y = a(x-h)^2 + k

y = (1/240)(x-60)^2 + 30

This is the equation of our parabola. Plug in x = 30 to determine the height of point K

y = (1/240)(x-60)^2 + 30

y = (1/240)(30-60)^2 + 30

y = (1/240)(-30)^2 + 30

y = (1/240)(900) + 30

y = 15/4 + 30

y = 15/4 + 120/4

y = 135/4

y = 33.75

Therefore, the height of the power line, when it is 30 feet away from one of the poles, is 33.75 feet. This is the y coordinate of point K.

Side note: 33.75 ft = 33 ft + 0.75 ft = 33 ft + 12*0.75 in = 33 ft + 9 inches

8 0
2 years ago
What is the diameter of a circle with circumference<br> C= 191 ? Leave answers in exact form.
lesantik [10]

Answer:

Diameter=60.79

Step-by-step explanation:

Solution,\\ Circumference(C)=191\\As,\\Circumference=\pi d\\191=\pi d\\\frac{191}{\pi } =d\\d=60.79718826

8 0
3 years ago
QUESTIONNNNNNNNNN!!!!
Lemur [1.5K]

Answer:

4 i think

Step-by-step explanation:

3 0
2 years ago
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