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erica [24]
3 years ago
15

Express 1400 as a product of its prime factors in index form

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

Answer:

2^3 X5^2 X7

Step-by-step explanation:

Given the number: 1400

A number is said to be prime when it can only be divided by 1 and itself.

We can express 1400 as a product of its prime numbers by gradually decomposing it into smaller units.

1400=14X100\\14=2X7\\100=10X10=2X5X2X5\\$Therefore:\\1400=2 X 7 X 2 X 5 X 5 X 5\\Reorganising\\1400=2 X 2 X 2 X 5 X 5 X 7\\Therefore, 1400 expressed as a product of its prime factors is:\\1400=2^3 X5^2 X7

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Find the x intercept and the y intercept of the graph of the equation <br> 2x+4y=8
maksim [4K]

Answer:

x-intercept: 4

y-intercept: 2

Step-by-step explanation:

finding the x-intercept:

first, substitute y = 0.

2x + 4 x 0 = 8

then, remove the 0.

2x + 0 = 8

then, divide both sides. 2x = 8

so, x = 4.

finding the y-intercept:

first, substitute x = 0.

then, solve.

2 x 0 + 4y = 8

so, y = 2.

3 0
3 years ago
What is the value of a in the equation 5a -10b = 45 when b = 3
leva [86]
Salutations!

5a-10b = 45

value of b = 3

Multiply 10 and 3

10*3=30

Now, you can solve the equation --

5a-30=45

separate the variables aside, and the numbers aside.

5a=45 +30

5a=75

a=75/5

a=15

Hope I helped (:

Have a great day!
6 0
3 years ago
can someone explain it to me, i don't need the answer, i just need an detailed explanation of how they got the answer using the
zubka84 [21]

Answer:

Step-by-step explanation:

Good idea to review quadratic functions and the quadratic formula.

Quadratics have three coefficients:  ax² + bx + c, and the "discriminant" is defined as b²-4ac.  Please review these rules:

1) if the discriminant is +, the quadratic equation has two real, unequal roots.

2) if the disc. is 0, the equation has two real, equal root.

3) If the disc. is - , the equation has two complex roots.

Here a = 1, b  = -3 and c = 4.  Therefore the discriminant is (-3)²-4(1)(4), or

-7.  Rule 3) applies:  the equation has two complex roots, but no real ones.  Thus we know that the graph does not cross the x-axis.

Graphing the given quadratic, x² - 3x + 4, using a dashed "line," is helpful.  As you can see in the illustration of this graph, the graph neither touches nor crosses the x-axis.  Thus, y = x² - 3x + 4 is greater than 0 for all x.  The answer:  All real numbers.

4 0
3 years ago
There are four white socks and six black socks in a drawer. What is the probability of selecting a white sock, not replacing it,
balu736 [363]

Answer:

1/3

Step-by-step explanation:

Think about it

8 0
3 years ago
Read 2 more answers
a record store is having a sale during which all items will be sold at 25% less then marked prices. How much will a CD marked $1
BARSIC [14]

Answer:

$12

Step-by-step explanation:

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16 - .25(16)

16 - 4 = 12

So the CD will sell for $12.

4 0
3 years ago
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