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nika2105 [10]
3 years ago
13

What is the equation of a line perpendicular to 3X+6Y= -3 and passes through the points (1,-5)

Mathematics
1 answer:
LenaWriter [7]3 years ago
3 0

Answer:

Step-by-step explanation:

6y = -3x - 3

y = -1/2x - 1/2

perp. 2

y + 5 = 2(x - 1)

y + 5 = 2x - 2

y = 2x - 7

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HELP ASAP Three generous friends, each with some cash, redistribute their money as follows: Ami gives enough money to Jan and To
DENIUS [597]

Answer:

$252

Step-by-step explanation:

This is quite a neat question, with no fixed equation. Given that each person gives the other two enough money to double their cash, if Toy had 36 dollars beginning, and 36 at the end - presumably the cash of each person, ( their starting and original ) should be the same as well. Respectively each should be a multiple of 36 dollars.

Jan's " give away " = Ami + 36, Jan - 108, Toy + 72

Toy's " give away " = Ami + 72, Jan + 36, Toy - 108

Therefore, we can conclude that Ami = 144 at the start, presuming he gave away 108 dollars, with a remaining 36. Jan, having 144 dollars ( after having his 72 dollars doubled by Ami ) gives 36 to Ami to double his amount, and 72 to double Toy's doubled amount, remaining with 36 dollars. Now Ami has 72 dollars, Jan has 36, and Toy has 144. Then, Toy double's Ami and Jan's amount, giving away 72 and 36 dollars, remaining with 36 dollars himself. Therefore, Ami has 144 dollars, Jan has 72 dollars, and Toy has 36 dollars both at the beginning and end.

144 + 72 + 36 = 252 dollars ( in total )

6 0
3 years ago
Please help .......​
WITCHER [35]

f(n) = n² + 20

f(1) = 1² + 20 = 21

f(2) = 2² + 20 = 24

f(3) = 3² + 20 = 29

f(4) = 4² + 20 = 36

f(5) = 5² + 20 = 45

f(6) = 6² + 20 = 56

a) first three terms

Answer: 21, 24, 29

b) how many < 50

f(5)=45, f(6)=56 so

Answer: 5

7 0
3 years ago
The volume of a cone is 28.26cm cubed. The radius and height of the cone are equal. What is the radius of the cone? Use 3.14 for
HACTEHA [7]

Answer:

Step-by-step explanation:

Tree

8 0
3 years ago
A phone manufacturer wants to compete in the touch screen phone market. He understands that the lead product has a battery life
Tasya [4]

Answer:

(a) <em>H₀</em>: <em>μ</em> ≤ 10. vs. <em>Hₐ</em>: <em>μ</em> > 10.

(b) The test statistic value is 1.86.

(c) The critical value to test the phone manufacturer's claim is 1.301.

(d) The battery life of the new touch screen phone is not more than 10 hours.

Step-by-step explanation:

In this case we need to determine the significance of the claim made by the phone manufacturer, that the battery life of the new touch screen phone is more than twice as long as that of the leading product.

The information provided is:

\bar x=10.5\\s=1.8\\n=45

(a)

The hypothesis can be defined as follows:

<em>H₀</em>: The battery life of the new touch screen phone is not more than 10 hours, i.e. <em>μ</em> ≤ 10.

<em>Hₐ</em>: The battery life of the new touch screen phone is more than 10 hours, i.e. <em>μ</em> > 10.

(b)

As the population standard deviation is not provided, we will use a <em>t</em>-test for single mean.

Compute the test statistic value as follows:

 t=\frac{\bar x-\mu}{s/\sqrt{n}}=\frac{10.5-10}{1.8/\sqrt{45}}=1.86

The test statistic value is 1.86.

(c)

The significance level of the test is, <em>α</em> = 0.10.

The degrees of freedom will be:

df=n-1=45-1=44

Compute the critical value as follows:

t_{0.10, 44}=1.301

*Use a <em>t</em>-table for the value.

Thus, the critical value to test the phone manufacturer's claim is 1.301.

(d)

Decision rule:

If the test statistic value is less than the critical value then the null hypothesis will be rejected and vice-versa.

 t = 1.86 > t₀.₁₀, ₄₄ = 1.30

The calculated <em>t</em>-value of the test is more than the critical value.

The null hypothesis will not be rejected.

Thus, it can be concluded that the battery life of the new touch screen phone is not more than 10 hours.

6 0
3 years ago
A chemistry set costing $27.50, marked up 32% on cost.
GalinKa [24]
  revenue- 36.30$   profit- 8.80$
4 0
3 years ago
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