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kifflom [539]
2 years ago
13

How do I solve w(x)=4x 5; find w(-8)?

Mathematics
1 answer:
Andrei [34K]2 years ago
4 0
Plug -8 in for x: 4(-8) + 5 solve: -32 + 5 -27
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A sailor is looking at a kite. If he is looking at the kite at an angle of elevation of 36and the distance from the boat to the
Nonamiya [84]

Answer:

Height of the kite from the ground is 29.2 feet.

Step-by-step explanation:

For better explanation of the solution, see the figure attached :

The angle formed by the height of kite to that of the surface of the ground is right angle.

⇒ m∠ABC = 90°

Let angle of elevation be θ

Now, to find height of the kite : find length of AB

In right angled triangle ABC , using tan rule, we have\tan\theta=\frac{Perpendicular}{Base}\\\\\tan36^{\circ}=\frac{AB}{BC}\\\\\implies \tan36^{\circ}=\frac{AB}{40}\\\\\implies AB=0.73\times 40\\\\\bf\implies AB=29.2\thinspace{ feet}

Hence, Height of the kite from the ground is 29.2 feet.

7 0
2 years ago
Solve the system of equations – 5x + y = 56 and x + y = -4 by combining the<br> equations.
anygoal [31]

Answer:

Your solution is (-10, 6).

Step-by-step explanation:

Combining the equations is also known as substitution. This is done when you substitute one variable into another equation.

-5x + y = 56

x + y = -4

Let's change the second equation into one with one variable on each side.

y = -x - 4

Now, plug this into your first equation.

-5x + (-x - 4) = 56

Distribute the + sign.

-5x - x - 4 = 56

Combine the like terms.

-6x - 4 = 56

-6x = 60

Isolate x by dividing both sides by -6.

x = -10

Now plug this back into either equation.

-10 + y = -4

Add 10 to both sides to find y.

y = 6

Your solution is (-10, 6).

Check this by plugging in these values into the equation you have not checked yet.

-5(-10) + (6) = 56

50 + 6 = 56

56 = 56

Your solution is correct.

Hope this helps!

5 0
1 year ago
Read 2 more answers
n 2018, homes in East Baton Rouge (EBR) Parish sold for an average of $239,000. You take a random sample of homes in Ascension p
Olenka [21]

Answer:

Conclusion

   There is no sufficient evidence to conclude that the mean of the home prices from Ascension parish is higher than the EBR mean

Step-by-step explanation:

From the question we are told that

   The population mean for EBR is  \mu_ 1  = \$239,000

    The sample mean for Ascension parish  is \= x_2  = \$246,000

   The  p-value  is  p-value  =  0.045

     The level of significance is  \alpha = 0.01

The null hypothesis is  H_o : \mu_2  = \mu_1

The  alternative hypothesis is  H_a  :  \mu_2 > \mu_1

Here \mu_2 is the population mean for Ascension parish

   From the data given values we see that  

          p-value  >  \alpha

So we fail to reject the null hypothesis

So we conclude that there is no sufficient evidence to conclude that the mean of the home prices from Ascension parish is higher than the EBR mean

3 0
2 years ago
Mr. Noah wants his Ark to sail along an even keel. The ark is divided down the middle, and on each deck the animals on the left
Ne4ueva [31]

Answer:3

Step-by-step explanation:

4 0
2 years ago
If a is an arbitrary nonzero constant, what happens to a/b as b approaches 0
Stolb23 [73]

It depends on how b approaches 0

If b is positive and gets closer to zero, then we say b is approaching 0 from the right, or from the positive side. Let's say a = 1. The equation a/b turns into 1/b. Looking at a table of values, 1/b will steadily increase without bound as positive b values get closer to 0.

On the other side, if b is negative and gets closer to zero, then 1/b will be negative and those negative values will decrease without bound. So 1/b approaches negative infinity if we approach 0 on the left (or negative) side.

The graph of y = 1/x shows this. See the diagram below. Note the vertical asymptote at x = 0. The portion to the right of it has the curve go upward to positive infinity as x approaches 0. The curve to the left goes down to negative infinity as x approaches 0.

7 0
2 years ago
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