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Ksivusya [100]
3 years ago
9

Which of these graphs represents a rate of change of 4?

Mathematics
1 answer:
mamaluj [8]3 years ago
7 0
<h2><em>The last graph because the slope is 40. </em></h2><h2><em> </em></h2><h2><em>Slope equals rise over run </em></h2><h2><em> </em></h2><h2><em>Rise is 4/ Run is 1 </em></h2><h2><em> </em></h2><h2><em>4/1=4 </em></h2><h2><em> </em></h2><h2><em>Slope (rate of change)=4</em></h2><h2><u><em>C</em></u></h2>
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the measure of an angle A is (2x°)and the mesure of its supplement ,angle B is(x-6)°.What is the measure of each angle.
vladimir1956 [14]

Remark
The measure of the two angles add to 180. That permits you to solve for x.

Givens
1. Supllementary angles add to 180o
2. A = 2x
3. B = x -6

Equation
A + B = 180
2x + x - 6 = 180

Solution
2x + x - 6 = 180     Combine like terms
3x - 6 = 180           Add 6 to both sides
3x = 180 + 6
3x = 186                Divide by 3
x = 186/3
x = 62
Answer
A = 2x
A = 124

B = x - 6
B = 62 - 6
B = 56

I'm sorry to say that I'm not getting any of them. The intended answer is likely B which I would try first. A and D do not add to 180. C does add to 180 but it looks like the answer was derived by taking x to be one of the angles and then the supplement would be 180 - 62 = 118.

A D and C are all incorrect. B is not either, but it is the closest. 

3 0
3 years ago
Of the 600 workers at a factory, 8.5% belong to a union. how many workers are in the Union?
vitfil [10]
51 workers 
8.5% or 0.085x600=51
therefore 8.5% of 600 is 51
 
5 0
3 years ago
Read 2 more answers
Where is the circumcenter of any given triangle?
Salsk061 [2.6K]

The <em>correct answer</em> is:


B) the point of concurrency of the perpendicular bisectors of the sides of the triangle


Explanation:


The definition of circumcenter is "the point of intersection of the perpendicular bisectors of a triangle."


To construct the circumcenter, we first construct the perpendicular bisector of each side of the triangle. Once we have these three lines, we find their point of intersection; this is the circumcenter.

4 0
3 years ago
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Solve the system using the substitution method<br> 3x-y=4<br> 5x+3y=9
rjkz [21]
First solve the first equation for 'y'
3x - y = 4  subtract 3x from both sides
-y = -3x + 4  divide both sides by -1
y = 3x - 4   Now take this equation and substitute into the second equation:

5x + 3y = 9
5x + 3(3x - 4) = 9
5x + 9x - 12 = 9
14x - 12 = 9
14x = 9 + 12
14x = 21
x = \frac{21}{14} =  \frac{3}{2} or 1.5
Now substitute this value for 'x' into either of the first two equations to find 'y'
I'll use the equation 
y = 3x - 4
y = 3(1.5) - 4
y = 0.5

So your solution is (1.5, 0.5)

5 0
3 years ago
If Tanisha has ​$1000 to invest at 7​% per annum compounded semiannually​, how long will it be before she has ​$1600​? If the co
Sphinxa [80]

Answer:

Using continuous interest 6.83 years before she has ​$1600​.

Using continuous compounding, 6.71 years.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.

Continuous compounding:

The amount of money earned after t years in continuous interest is given by:

P(t) = P(0)e^{rt}

In which P(0) is the initial investment and r is the interest rate, as a decimal.

If Tanisha has ​$1000 to invest at 7​% per annum compounded semiannually​, how long will it be before she has ​$1600​?

We have to find t for which A(t) = 1600 when P = 1000, r = 0.07, n = 2

A(t) = P(1 + \frac{r}{n})^{nt}

1600 = 1000(1 + \frac{0.07}{2})^{2t}

(1.035)^{2t} = \frac{1600}{1000}

(1.035)^{2t} = 1.6

\log{1.035)^{2t}} = \log{1.6}

2t\log{1.035} = \log{1.6}

t = \frac{\log{1.6}}{2\log{1.035}}

t = 6.83

Using continuous interest 6.83 years before she has ​$1600​

If the compounding is​ continuous, how long will it​ be?

We have that P(0) = 1000, r = 0.07

Then

P(t) = P(0)e^{rt}

1600 = 1000e^{0.07t}

e^{0.07t} = 1.6

\ln{e^{0.07t}} = \ln{1.6}

0.07t = \ln{1.6}

t = \frac{\ln{1.6}}{0.07}

t = 6.71

Using continuous compounding, 6.71 years.

7 0
3 years ago
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