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Kazeer [188]
3 years ago
8

How do you solve -k/5 times 7/5

Mathematics
1 answer:
Firdavs [7]3 years ago
5 0

Answer:

\frac{-7}{25}k

Step-by-step explanation:

\frac{-k}{5} *\frac{7}{5}

just multiply across

-k*7=-7k

5*5=25

\frac{-7}{25}k

hope this helps

You might be interested in
A solution initially contains 200 bacteria. 1. Assuming the number y increases at a rate proportional to the number present, wri
GuDViN [60]

Answer:

1.\frac{dy}{dt}=ky

2.543.6

Step-by-step explanation:

We are given that

y(0)=200

Let y be the number of bacteria at any time

\frac{dy}{dt}=Number of bacteria per unit time

\frac{dy}{dt}\proportional y

\frac{dy}{dt}=ky

Where k=Proportionality constant

2.\frac{dy}{y}=kdt,y'(0)=100

Integrating on both sides then, we get

lny=kt+C

We have y(0)=200

Substitute the values then , we get

ln 200=k(0)+C

C=ln 200

Substitute the value of C then we get

ln y=kt+ln 200

ln y-ln200=kt

ln\frac{y}{200}=kt

\frac{y}{200}=e^{kt}

y=200e^{kt}

Differentiate w.r.t

y'=200ke^{kt}

Substitute the given condition then, we get

100=200ke^{0}=200 \;because \;e^0=1

k=\frac{100}{200}=\frac{1}{2}

y=200e^{\frac{t}{2}}

Substitute t=2

Then, we get y=200e^{\frac{2}{2}}=200e

y=200(2.718)=543.6=543.6

e=2.718

Hence, the number of bacteria after 2 hours=543.6

4 0
3 years ago
In the United States, 35% of households own a 4K television. Suppose we take a random sample of 150 households. (a) Describe the
sattari [20]

Answer:

(a) The distribution of the sample proportion is Normal distribution.

(b) The probability that in this sample of 150 households that more than 50% own a 4K television is 0.00012.

Step-by-step explanation:

We are given that in the United States, 35% of households own a 4K television.

Suppose we take a random sample of 150 households.

<em>Let </em>\hat p<em> = sample proportion of households who own a 4K television.</em>

The z-score probability distribution for sample proportion is given by;

           Z = \frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion

     p = population proportion of households own a 4K television = 35%

     n = sample of households = 150

(a) The distribution of the sample proportion is related to the Normal distribution.

(b) Probability that in this sample of 150 households more than 50% own a 4K television is given by = P( \hat p > 0.50)

    P( \hat p > 0.50) = P( \frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } > \frac{ 0.50-0.35}{\sqrt{\frac{0.50(1-0.50)}{150} } } ) = P(Z > 3.67) = 1 - P(Z \leq 3.67)

                                                                   = 1 - 0.99988 = 0.00012

<em>Now, in the z table the P(Z </em>\leq<em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 3.67 in the z table which has an area of 0.99988.</em>

Therefore, probability that in this sample of 150 households more than 50% own a 4K television is 0.00012.

8 0
3 years ago
The slope-intercept form given (6,-5) &amp; perpendicular to -5x - 7y = -17.
tatuchka [14]

Answer:

y=\dfrac{7}{5}x-\dfrac{67}{5}

Step-by-step explanation:

<u>Slope-intercept form of a linear equation:</u>

 y=mx+b

where:

  • m is the slope.
  • b is the y-intercept.

<u>Rearrange</u> the given equation so that it is in <u>slope-intercept form</u>:

\implies -5x-7y=-17

\implies -7y=5x-17

\implies y=-\dfrac{5}{7}x+\dfrac{17}{7}

Therefore, the slope of the given equation is -⁵/₇.

If two lines are <u>perpendicular</u> to each other (at right angles), the <u>product of their slopes</u> will be -1.  Therefore, their slopes will be negative reciprocals of each other.

Therefore, the slope of the line perpendicular to the given equation is:

\sf m=\dfrac{7}{5}

<u>Substitute</u> the found <u>slope</u> and the <u>given point</u> (6, -5) into the <u>slope-intercept formula</u> and solve for b:

\implies -5=\dfrac{7}{5}(6)+b

\implies -5=\dfrac{42}{5}+b

\implies b=-\dfrac{67}{5}

<u>Substitute</u> the found slope and the found value of b into the <u>slope-intercept formula</u> to create the equation for the <u>perpendicular line</u>:

\implies y=\dfrac{7}{5}x-\dfrac{67}{5}

Learn more about slope-intercept form here:

brainly.com/question/27317293

brainly.com/question/27926846

8 0
1 year ago
Katniss divided x^3+2x^2-3x-4 by x+1. she didnt get a remainder. do you agree with her?
Brilliant_brown [7]

ANSWER

Katnis is right

EXPLANATION

We use the Remainder Theorem to check if she is right.

According to the Remainder Theorem, if the polynomial function,

p(x) =  {x}^{3}  + 2 {x}^{2}  - 3x - 4

is divided by x+1, then the remainder is given by

p( - 1)

We substitute x=-1 into the function to obtain,

p( - 1) =  {( - 1)}^{3}  + 2 { ( - 1)}^{2}  - 3( - 1) - 4

We simplify to get:

p( - 1) =  -  1+ 2 (1)   + 3 - 4

p( - 1) = 4- 4

p( - 1) = 0

Katnis is right because the remainder is zero

3 0
3 years ago
I WILL GIVE BRAINLIEST PLEASE ANSWER I ALREADY SOLVED FOR X PLEASE SOLEV FOR Y AND Z WITH STEP BY STEP PLEASEEE!!!! trolls get b
Contact [7]
I’ve attached my work...
I corrected your x
Hope it helps!!

3 0
3 years ago
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