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fomenos
3 years ago
11

If the ordered pair (-3,5) is a solution of 3x + 4y = k, what is the value of k?

Mathematics
2 answers:
STatiana [176]3 years ago
6 0
11

with the values plugged in the equation is 3(-3)+4(5)=k which simplifies to -9+20=k and then to 11=k
Nata [24]3 years ago
6 0
(x, y) ⇒ (-3, 5)               3x + 4y = k
Plug in -3 for x and 5 for y in the equation.

3(-3) + 4(5) = k
-9 + 20 = k

k = 11
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Answer:

70 apples

Step-by-step explanation:

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4 0
3 years ago
In a recent study of 42 eighth graders, the mean number of hours per week that they watched television was 19.6. Assume the popu
olya-2409 [2.1K]

Answer:

19.6-2.42\frac{5.8}{\sqrt{42}}=17.43    

19.6+2.42\frac{5.8}{\sqrt{42}}=21.77    

And the best option for this case would be:

a. (17.5, 21.7)

Step-by-step explanation:

Information given

\bar X= 19.6 represent the sample mean

\mu population mean

\sigma= 5.8 represent the population deviation

n=42 represent the sample size  

Confidence interval

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

The degrees of freedom, given by:

df=n-1=42-1=41

Since the Confidence is 0.98 or 98%, the significance would be \alpha=0.02 and \alpha/2 =0.1, and the critical value would be t_{\alpha/2}=2.42

Replacing we got:

19.6-2.42\frac{5.8}{\sqrt{42}}=17.43    

19.6+2.42\frac{5.8}{\sqrt{42}}=21.77    

And the best option for this case would be:

a. (17.5, 21.7)

8 0
3 years ago
Which expression will simplify to 1? Assume m ≠ 9 and m ≠ -9.
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Answer:

B(m+9/m-9) (m-9/m+9)

7 0
3 years ago
Read 2 more answers
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Elza [17]

Répondre:

1 285 watts

Explication étape par étape:

La puissance est exprimée selon la formule;

power = travail effectué / temps

Puissance = Force * (distance / temps)

Depuis Vitesse = distance / temps

Puissance = Force * vitesse

Donné

Force = 2500N

Vitesse (en m / s) = 0,514 m / s

Obligatoire

Puissance

Remplacez la formule donnée;

Puissance = 2500 * 0,514

Puissance = 1,285Watts

Par conséquent, la puissance correspondante requise est de 1285 watts

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