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IRINA_888 [86]
3 years ago
13

Hi. Please I need help with this :

Mathematics
1 answer:
ki77a [65]3 years ago
3 0

Answer:

1.79553

Step-by-step explanation:

Step 1: Write expression

log₁₀(√(69.5² - 30.5²))

Step 2: Evaluate square root

log(√(4830.25 - 930.25))

log(√3900)

log(62.45)

Step 3: Find log

log₁₀ (or log)

log(62.45) = 1.79553

-------------------------------------

To use the table method. we find values that are easily evaluated by log₁₀

log₁₀(10) = 1

log₁₀(50) = 1.69897

log₁₀(100) = 2

So we know that log₁₀(62.45) is between 1 and 2 and greater that 1.69897.

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Find all values of x that are NOT in the domain of h.
Firlakuza [10]

Answer:

if x=-1 then its is NOT in the domain of h.

Step-by-step explanation:

Domain is the set of values for which the function is defined.

we are given the function

h(x) = x + 1 / x^2 + 2x + 1

h(x) = x+1 /x^2+x+x+1

h(x) = x+1/x(x+1)+1(x+1)

h(x) = x+1/(x+1)(x+1)

h(x) = x+1/(x+1)^2

So, the function h(x) is defined when x ≠ -1

Its is not defined when x=-1

So, if x=-1 then its is NOT in the domain of h.

4 0
3 years ago
Read 2 more answers
Pls help in a rushhh will give points
Juliette [100K]

Answer:

The answer is 120

Step-by-step explanation:

A triangle has 180 degrees in it total.

So all you have to do is 180 - 35 -25, and get your answer.

6 0
3 years ago
5. A ball is thrown upward with an initial velocity of 50 feet per second. The
dangina [55]

Answer:

SEE BELOW IN BOLD.

Step-by-step explanation:

a.

h = -16t^2 + 50t

h = 20 t

When the height is the same:

-16t^2 + 50t = 20t

-16t^2  + 30t = 0

t(-16t + 30) = 0

t = 0 or  -16t + 30 = 0, so:

t = 0 or -30/-16 = 1.875

So the answer is 1.88 seconds to the nearest hundredth.

b.

For the ball

h = -16t^2 + 50t

Finding the derivative and equating to zero:

dh/dt = -32t + 50 = 0

t = -50/-32 = 1.563

Maximum height after 1.56 seconds to nearest hundredth

c.

When the ball hits the ground h = 0 so

-16t^2 + 50t = 0

-16t(t - 50/16)= 0

T = 3.13 SECONDS TO THE NEAREST HUNDERDTH

7 0
2 years ago
An electric company charges a certain rate per kilowatt-hour (kWh) of electricity used and an administrative fee of $3.50. The c
Triss [41]

Answer:

Variable r represents the slope of the equation.

Step-by-step explanation:

Given that the administrative fees that company charge is $3.50.

Also, the Zhao has a bill of $63.25.

The equation used by Zhao is

63.25=r(800)+3.50

We can compare the equation of a line in the slope-intercept form.

y=mx+c

We can see the y-intercept is $3.50 that is a fixed cost. And the company charged $63.25 that is the dependent variable.

Also, variable r that is the rate per kilowatt-hour (kWh) represents the slope of the equation.

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3 years ago
Leah cut a 7 inch ribbon into pieces that are 1/2 an inch long. How many pieces of ribbon did she cut? ​
photoshop1234 [79]

14 ribbons.

7 divided by 1/2 is 14. dividing by a fraction or decimal is just like multiplying without the decimal point or numerator.

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