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3 years ago

If 5/8=20/p, then value of p is

Mathematics

2 answers:

WINSTONCH [101]3 years ago

7 0

Step-by-step explanation:

5/8=20/p

p=32

.............

monitta3 years ago

6 0

If 5/8=20/p then the value of p=32 because 20 divided by 5=4 and 32 divided by 8= 4 (they both equal 4)

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Please helppp number 11

aivan3 [116]

Answer:

(1/3)⁷

Step-by-step explanation:

negative exponents work like this:

x⁻²=(1/x)²

Apply this theory to this equation:

3⁻⁷=

(1/3)⁷

4 0

3 years ago

Find an equation of a line that is tangent to the graph of f and parallel to the given line. Please see picture

ivanzaharov [21]

Answer:

y = 3x - 2 (smaller y-intercept)

y = 3x + 2 (larger y-intercept)

Step-by-step explanation:

First let's write the generic equation of a line:

y = ax + b

This line needs to be parallel to the line 3x - y + 5 = 0, so it needs to have the same slope of this line.

The line 3x - y + 5 = 0 has a slope of 3, so our line has a = 3:

y = 3x + b

Now we need to find the values of b that make this line tangent to the function f(x) = x^3

Let's first find the derivative of f(x) in relation to x:

df(x)/dx = 3x^2

This derivative is the slope of the tangent line to the function for any value of x. We need a slope of 3, so:

3x^2 = 3

x^2 = 1

x = ±1

Now, to find the y-values, we have:

f(1) = 1^3 = 1

f(-1) = (-1)^3 = -1

So, using the points (1,1) and (-1,-1) in our parallel line, we have:

first line using (1,1) : 1 = 3*1 + b

b = -2

second line using (-1,-1) : -1 = -3*1 + b

b = 2

The value of b is the y-intercept of the line, so the line with smaller y-intercept is y = 3x - 2, and the line with larger y-intercept is y = 3x + 2

8 0

3 years ago

Determine the volume of the shaded region.

vovangra [49]

The volume of the shaded region is 1650 cubic feet.

5 0

3 years ago

In baseball, Shintaro had 4 hits in his last 12 times at bat.

ikadub [295]

For this case we can propose a rule of three according to the Shontaro base performance.

4 hits ------------> 12 times at bat

x -------------------> 36 times at bat

Where "x" represents the number of hits he will have the following week, based on his previous performance.

$x = \frac {36 * 4} {12}\\x = 12$

So, Shintaro will have 12 hits in 36 times at bat

Answer:

Shintaro will have 12 hits in 36 times at bat

OPtion B

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3 years ago

Write an equation of the line that passes through the points (-3,-4),(6,-1)

klasskru [66]

Find and review the slope formula.

The slope of a line segment that connects the points (a, b) and (c, d) is
d-b
m = --------------
c-a

Write out this formula for a=-3, b=-4, c=6 and d=-1.

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3 years ago