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3 years ago

Factor the following: 5∙(a+3)^2-(a+3)

Mathematics

1 answer:

Zanzabum3 years ago

3 0

Answer:

(a+3)(5a+14)

Step-by-step explanation:

Factor the polynomial.

(a+3)(5a+14)

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Need some help with this one Two questions

rosijanka [135]

Answer:

4,54

Step-by-step explanation:

what i find useful is if you flip the percentage of whatever, it makes it pretty easy. in this situation itd be 50% of 8, which is 4. for the total price, you just add the tax to the price

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3 years ago

Read 2 more answers

Need help solving this problem please

jeyben [28]

very simple very simple and it is very good for your health and all things

5 0

3 years ago

The electric cooperative needs to know the mean household usage of electricity by its non-commercial customers in kWh per day. A

vekshin1

Answer:

$15.7-2.58\frac{2.3}{\sqrt{1731}}=15.6$

$15.7+2.58\frac{2.3}{\sqrt{1731}}=15.8$

We are 99% confident that the true mean of electricity comsumption is between (15.6 and 15.8) kWh

Step-by-step explanation:

Information provided

$\bar X= 15.7$ represent the sample mean for the usage of electricity

$\mu$ population mean (variable of interest)

$\sigma= 2.3$ represent the population standard deviation

n=1731 represent the sample size

Confidence interval

The confidence interval for the mean is given by the following formula if we know the population deviation:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

The Confidence level provided is 0.99 or 95%, the value of significance is $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.005,0,1)".And we see that $z_{\alpha/2}=2.58$

And replacing we got:

$15.7-2.58\frac{2.3}{\sqrt{1731}}=15.6$

$15.7+2.58\frac{2.3}{\sqrt{1731}}=15.8$

We are 99% confident that the true mean of electricity comsumption is between (15.6 and 15.8) kWh

7 0

4 years ago

Rhonda has $4.85 in coins. If she has six more nickels than dimes and twice as many quarters as dimes, how many coins of each ty

Novay_Z [31]

Answer: nickels = 13, dimes = 7, quarters = 14

<u>Step-by-step explanation:</u>

First, set up the equations for each coin:

$\begin {array}{c|c|c|l}\underline{\quad Type\quad }&\underline{Value}&\underline{Quantity}&\underline{\qquad \qquad \qquad Equation\qquad }\\ Nickel& \$0.05&6+d&0.05(6+d) = 0.30 + 0.05d\\Dime& \$0.10&d&\qquad 0.10(d)=0.10d\\Quarter& \$0.25&2d&\qquad 0.25(2d)=0.50d\\\end{array}$

Next, the sum of the coins is $4.85 so substitute and solve for the variable:

Nickels + Dimes + Quarters = Sum

(0.30 + 0.05d) + 0.10d + 0.50d = 4.85

0.30 + 0.65d = 4.85

0.65d = 4.55

d = 7

Lastly, plug the d-value into the quantity equation for the nickels and quarters to find their quantity.

nickels: 6 + d = 6 + (7) = 13

quarters: 2d = 2(7) = 14

6 0

3 years ago

Help me ASAP please.

Leni [432]

Answer:

Step-by-step explanation:

The vertex will occur when t=-b/(2a) for the quadratic ax^2+bx+c

In this case

t=-200/(2(-16))

t=-200/-32

t=6.25

g(6.25)=-16(6.25^2)+200(6.25)

g(6.25)=625ft

So the maximum height of the rocket is 625 feet and it reaches this height at 6.25 seconds.

4 0

3 years ago