What is the prime factorization of the square root of 10,000 using exponents

Mathematics

1 answer:

zlopas [31]3 years ago

5 0

Answer: 2 to the 4th power times 5 to the 4th power

Step-by-step explanation:

10 times 10 times 10 times 10

Break it down:

2x5x2x5x2x5x2x5

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Write an equation of the line that passes through the point (5,-4) and has a slope of 2.

Romashka-Z-Leto [24]

Answer:

Point slope formula: (y + 4) = 2(x - 5)

Slope intercept formula: y = 2x - 14

Step-by-step explanation:

Point slope formula: (y + 4) = 2(x - 5)

Slope intercept formula: y = 2x + b, -4 = 10 + b, b = -14

y = 2x - 14

6 0

3 years ago

Jenny opened a package of screws quickly and many of them spilled on the floor. She needs to organize the fasteners according to

hichkok12 [17]

We have to compare diameters and arrange them in order smallest to greatest

We can see units for option A and B are in square inches so they represents area. So first we will find diameter from area using formula

$A = \pi r^{2}$

so for choice (A) area is given as $4.375 \times 10^{7}$ . So plug this in A place in formula and then solve for radius r

$4.375 \times 10^{7} = \pi r^{2}$

$\frac{4.375 \times 10^{7}}{\pi} = \frac{\pi r^{2}}{\pi}$

$1.393 \times 10^{7} } = r^{2}$

$\sqrt{1.393 \times 10^{7}} = \sqrt{r^{2}}$

3731.76 = r

So screw A will have
$diameter = 2 \times r = 2 \times 3731.76 = 7463.52$ inches

Similarly for choice (E) area is $1.428 \times 10^{1} = 14.28$
so again plug in formula

$A = \pi r^{2}$

$14.28 = \pi r^{2}$

$\frac{14.28}{\pi} = \frac{\pi r^{2}}{\pi}$

$4.5477 = r^{2}$

$\sqrt{4.5477} = \sqrt{r^{2}}$

2.13201 = r

So screw E will have
$diameter = 2 \times r = 2 \times 2.13201 = 4.26402$ inches

So diameters of all screws are as follows:

Screw A: 7463.52 inches
Screw B: 1.5 inches
Screw C: $1\frac{7}{8} = \frac{1\times 8+7}{8} = \frac{15}{8} = 1.875$ inches
Screw D: 0.25 inches
Screw E: 4.26402 inches

Comparing all numbers 7463.52, 1.5, 1.875, 0.25, 4.26402 we can see that smallest number is 0.25, then comes 1.5, then 1.875 and then 4.26402 and then 7463.52

So order from least to greatest will be screw D (0.25), B(1.5), C(1.875), E (4.26402), A (7463.52).

So thats the order D,B,C,E,A and the final answer

6 0

3 years ago

Read 2 more answers

What is the simplified form of -64 1/3? Need Help ASAP, will make brainliest answer :)!!!

alexgriva [62]

-64 1/3

disregard the negative sign for the moment...
to turn a mixed number into an improper fraction, take ur whole number (63) and multiply it by ur denominator (3) and u get (64 * 3) = 192....now add that to ur numerator (1) and u get (192 + 1) = 193...now put that over ur original denominator (3) and u get 193/3.....now put ur negative sign back....and u have - 193/3.....simplified form, does not reduce

7 0

3 years ago

The distance from your house to the park is represented by the expression "5x + 4 more than 2 − 2x." The distance from the park

Neko [114]

Answer:

The distance from the house to the school is equal to $(4x-2)$