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Semenov [28]
3 years ago
7

The digit 1 in 524,681 is ______ times the value of the 1 in 94,130.

Mathematics
2 answers:
love history [14]3 years ago
5 0

Answer:

A 100 times

Step-by-step explanation:

FrozenT [24]3 years ago
5 0

Answer:

1/100

Step-by-step explanation:

The digit 1 in 524,681   is in the ones places

1 in 94,130 is in the 100's place

1 is 1/100 the value of 100

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Write an equation for line L in point-slope form and slope-intercept form.
Marianna [84]

Answer:

y = -\frac{1}{4}x + c --- Slope intercept

y - y_1 = -\frac{1}{4}(x - x_1) --- Point slope

Step-by-step explanation:

Given

Perpendicular to y = 4x

Required

Determine its equation

The general form of an equation is:

y = mx + c

Where

m = slope

By comparison:

m = 4

Next, we calculate the slope of L.

Because L is perpendicular to y = 4x, the relationship between their slopes is:

m_2 = -\frac{1}{m}

Substitute 4 for m

m_2 = -\frac{1}{4}

The equation of L in slope intercept form is: y = mx + c

Substitute -1/4 for m

y = -\frac{1}{4}x + c

In point slope form, we have:

y - y_1 = m(x - x_1)

Substitute -1/4 for m

y - y_1 = -\frac{1}{4}(x - x_1)

5 0
2 years ago
Pls show me the work too
Ksenya-84 [330]

Answer:

1). Mean: 14.2

  Median: 13.5

Step-by-step explanation:

To calculate the mean, sum all values and divide by the number of values:

(13+16+14+17+13+12) / 6 ≈ 14.2

To calculate the median, order the values from small to large and take the middle value. If there is no middle. average the two values in the middle:

12,13,<u>13,14</u>,16,17

The median is (13+14)/2 = 13.5.

Using this explanation you should be able to find the rest.

4 0
3 years ago
Initially, there were only 197 weeds at a park. The weeds grew at a rate of 25% each week. The following function represents the
olganol [36]

Answer:

 none of the above

 f(x) ≈ 197·1.03^x; approximately 3% daily

Step-by-step explanation:

If we let x represent days, then x/7 represents weeks and we can rewrite f(x) as ...

 f(x/7) = 197·1.25^(x/7) = 197·(1.25^(1/7))^x

 f(x) ≈ 197·1.03^x

__

The daily multiplier of 1.03 represents a daily growth rate of

 1.03 -1 = .03 = 3%

_____

These answers are not found among the offered choices:

f(x) = 197·1.03^x

3% daily growth

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
-8x+114=11x+10-11x what's the answer
gtnhenbr [62]
The answer is x=13

I hope this helps!
Ask me for the work!
4 0
3 years ago
Find the area of the triangle formed by the origin and the points of intersection of parabolas y=− 1/3 (x−1)^2+8 and y=x^2−2x−3.
Kobotan [32]

Answer:

The area of the triangle formed by origin, and the points (4,5) and (-2,5) will be 15 sq. units.

Step-by-step explanation:

The two parabolas are y = - \frac{1}{3}(x - 1)^{2} + 8 and y = x² - 2x - 3.

Now, solving those two equations we will get the points of intersection.

So, - \frac{1}{3}(x - 1)^{2} + 8 = x^{2} - 2x - 3

⇒ - (x - 1)² + 24 = 3x² - 6x - 9

⇒ -x² + 2x - 1 + 24 = 3x² - 6x - 9

⇒ 4x² - 8x - 32 = 0

⇒ x² - 2x - 8 = 0

⇒ x² - 4x + 2x - 8 = 0

⇒ (x - 4)(x + 2) = 0

So, x = 4 or - 2.

Now, for x = 4 , y = 4² - 2(4) - 3 = 5 and the point of intersection is (4,5).

Or, for x = - 2, y = (- 2)² - 2(- 2) - 3 = 5 and the point of intersection is (-2,5).

Now, points (4,5) and (-2,5) make a straight line parallel to the x-axis at a perpendicular distance of 5 units from origin and its length is (4 - (- 2)) = 6 units.

So, the area of the triangle formed by origin, and the points (4,5) and (-2,5) will be = 0.5 × 5 × 6 = 15 sq. units. (Answer)

8 0
3 years ago
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