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3 years ago

Solve this linear equation for p.

Mathematics

2 answers:

Fynjy0 [20]3 years ago

6 0

Answer:

11.2

Step-by-step explanation:

divide 160 by 14.3

Black_prince [1.1K]3 years ago

6 0

Answer: 11.2

Step-by-step explanation:

as you see the equation uses distributive property and addition property.

distributive property: 14.3 − 32.24 = 127.92

addition property : 14.3p − 32.24 + 32.24 = 127.92 + 32.24 ....... 14.3p= 160.16

Division property of equality: 14.3p..... 14.3 = 160.16/14.3

solution: p= 11.2

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4-3x2 + x2 + 5x – 7)

kompoz [17]

Answer:

7x - 9

Step-by-step explanation:

1: Multiply the numbers

4 - 3 x 2 + 2x + 5x - 7

4 - 6 + 2x + 5x - 7

2: Add the numbers

4 - 6 + 2x + 5x - 7

-9 + 2x + 5x

3: Combine like terms

-9 + 2x + 5x

-9 + 7x

4: Rearange terms

-9 + 7x

7x - 9

Solution

7x - 9

Can i be brainliest

4 0

3 years ago

Gribbles are small, pale white, marine worms that bore through wood. While sometimes considered a pest since they can wreck wood

Stells [14]

<u>Answer with explanation:</u>

As per given , we have

A sample of 50 gribbles finds an average length of 3.1 mm with a standard deviation of 0.72.

i.e. n= 50

Degree of freedom = n-1=49

$\overline{x}=3.1\ mm$

$s=0.72\ mm$

The point estimate of the population mean is equals to the sample mean.

i.e. The best estimate for the length of gribbles= 3.1 mm

Also, population standard deviation is unknown , then the confidence interval would be :

$E=t_{\alpha/2, df}\dfrac{s}{\sqrt{n}}$

For df= 49 and significance level of 0.05 , the t- value (using t-distribution table) would be :

$t_{0.05/2, 49}=t_{0.025, 49}= 2.010$

Now, Margin of error : $E=(2.010)\dfrac{0.72}{\sqrt{50}}$

$=0.204664986747\approx0.20$

95% confidence interval : $(\overline{x}-E,\ \overline{x}+E)$

$i.e.\ (3.1-0.20, 3.1+0.20)=(2.90,\ 3.30)$

3 0

4 years ago

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Pachacha [2.7K]

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4 0

3 years ago

Noah wants to buy a purebed golden retriever puppy that he sees for $499.By the time he goes to buy it, the price has increased

eduard

499 - 100%
599 - x

x = 599*100/499 = 120.04
x-100% = 120.04-100 = 20.04

Answer: The price increased by 20%.

6 0

4 years ago

Read 2 more answers

The tangent of the graph of y=<img src="https://tex.z-dn.net/?f=e%5E%7Bax%7D" id="TexFormula1" title="e^{ax}" alt="e^{ax}" align

bearhunter [10]

a) The tangent to $y=e^{ax}$ at $x=p$ has slope

$y' = ae^{ax} \implies y'(p) = ae^{ap}$

and $y=e^{ap}$ at this point. It passes through the origin, so its equation is

$y - 0 = ae^{ap} (x - 0) \implies y = ae^{ap} x$

It also passes through the point $(p,e^{ap})$ on the curve, so

$y - e^{ap} = ae^{ap} (x - p) \implies y = e^{ap} + ae^{ap} x - ape^{ap}$

By substitution,

$ae^{ap} x = e^{ap} + ae^{ap} x - ape^{ap} \implies e^{ap} = ape^{ap} \implies ap=1 \\\\ \implies \boxed{p=\dfrac1a}$

b) The normal to $y=e^{ax}$ at $x=2p$ has slope

$-\dfrac1{y'(2p)} = -\dfrac1{ae^{2ap}} = -1 \implies ae^{2ap} = 1$

It follows that

$ae^{2ap} = ae^2 = 1 \implies \boxed{a = \dfrac1{e^2} \text{ and } p = e^2}$

c) The tangent line equation is then

$y = \dfrac1{e^2} e^1 x \implies \boxed{y = \dfrac xe}$

7 0

2 years ago