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Anni [7]
3 years ago
6

The amount of time (in hours) that Sam studied for an exam on each of the last five days is given below. 1.7 7.7 8.3 1.6 5.1 Fin

d the mean study time.
Mathematics
1 answer:
____ [38]3 years ago
5 0

Answer:

The mean is 4.88 hours / day

Step-by-step explanation:

To calculate the mean we just add the values and divide by the number of items (in this case we add the hours and divide by the number of days)

so the equation would be

\frac{1.7+7.7+8.3+1.6+5.1}{5}=4.88

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Determine the type of boundary line and shading for the graph of the inequality 5x+y grader than or equal to -10
iVinArrow [24]
5x + y > = -10
y > = -5x - 10

It will be a solid line because ur problem contains an equal sign.
It will be shaded on the side that includes the origin...because when u sub in (0,0), which is the origin, ur inequality is true
6 0
3 years ago
The function F is defined by F(x)=x^2+3X-10
vesna_86 [32]

Answer:

k = 13

smallest zero = -6

Step-by-step explanation:

f(x) is basically the function of x.

x could be any integer. f(x) is the solution of the function of x.

f(x) is defined as x² + 3x - 10

f(x) = x² + 3x - 10

Now, f(x+5) = x² + kx + 30

This statement here says that if the value of x is x+5, then the answer would be x² + kx + 30.

f(x) = x² + 3x - 10

f(x+5) = (x+5)² + 3(x+5) - 10

f(x+5) = x² + 10x + 25 + 3x + 15 - 10

f(x+5) = x² + 13x + 40 - 10

f(x+5) = x² + 13x + 30

x² + 13x + 30 = x² + kx + 30

hence, k = 13

Smallest zero = The smallest x value.

f(x+5) = x² + 13x + 30

Let's take f(x+5) = 0

x² + 13x + 30 = 0

which two numbers products give us 30 and add up to 13?

== 6 and 5

(x+6)(x+5) = 0

x+6 = 0

x = -6

x+5 = 0

x = -5

The two solutions are -6 and -5

The smallest out of these two is -6.  

7 0
3 years ago
How many solutions does the given system of equations have?
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8 0
3 years ago
R(r1+r2)=r1r2 solve for R
romanna [79]
We need to solve for R, This is really simple.

The original expression is:
R (r1 + r2) = r1r2

To solve for a certain variable, we need to get this variable alone on one side of the equation and equate it with the other side.

In the given expression, to get R alone on one side we have to eliminate (r1 + r2).
In order to do this, we will divide both sides by (r1 + r2).
Doing this, we get the solution as follows:
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4 0
3 years ago
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For exponential functions which of the following expression is equal to [f(3)]^4]
Molodets [167]

Answer:

F(3*4)

Step-by-step explanation:

Let\ exponential\ function\ F(x)=a^x\\\\F(3)=a^3\\\\\{F(3)\}^4=\{a^3\}^4\\\\\{F(3)\}^4=a^{3\times 4}...........eq(1)\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ as\ (m^n)^k=m^{nk}\\\\Now\ F(3*4)=a^{3\times 4}.......eq(2)\\\\From\ eq1\ and\ eq2\\\\\{F(3)\}^4=F(3\times 4)\\\\\{F(3)\}^4=F(3*4)

5 0
3 years ago
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