Solve the equation. 8nminus(3nplus4)equals11

HELPPP ME PLEASE IVE BEEN 2 hours IN THIS QUESTIONN

Harlamova29_29 [7]

9514 1404 393

Answer:

12.9 square yards

Step-by-step explanation:

The base is an equilateral triangle, so we can assume that the three faces have the same dimensions. Each of those face triangles has an area of ...

A = 1/2bh

A = 1/2(3 yd)(2 yd) = 3 yd²

The base area is computed using the same formula and the given height:

A = 1/2(3 yd)(2.6 yd) = 3.9 yd²

Then the total surface area is that of the base and the three faces:

SA = (3.9 yd²) + 3(3 yd²) = 12.9 yd² . . . total surface area

5 0

2 years ago

Solve 12^x^2+5x-4 = 12^2x+6

faust18 [17]

The solutions for ‘x’ are 2 and -5

Step-by-step explanation:

Given equation:

$12^{x^{2}+5 x-4}=12^{2 x+6}$

Since the base on both sides as ‘12’ are the same, we can write it as

$x^{2}+5 x-4=2 x+6$

$x^{2}+5 x-2 x-4-6=0$

$x^{2}+3 x-10=0$

Often, the value of x is easiest to solve by $a x^{2}+b x+c=0$ by factoring a square factor, setting each factor to zero, and then isolating each factor. Whereas sometimes the equation is too awkward or doesn't matter at all, or you just don't feel like factoring.

The Quadratic Formula: For $a x^{2}+b x+c=0$ , the values of x which are the solutions of the equation are given by:

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Where, a = 1, b = 3 and c = -10

$x=\frac{-3 \pm \sqrt{(-3)^{2}-4(1)(-10)}}{2(1)}$

$x=\frac{-3 \pm \sqrt{9+40}}{2}$

$x=\frac{-3 \pm \sqrt{49}}{2}=\frac{-3 \pm 7}{2}$

So, the solutions for ‘x’ are

$x=\frac{-3+7}{2}=\frac{4}{2}=2$

$x=\frac{-3-7}{2}=\frac{-10}{2}=-5$

The solutions for ‘x’ are 2 and -5

6 0

3 years ago

Read 2 more answers

6. a) Rivka used the last four digits of her

bulgar [2K]

Answer: Her e-mail password is $1048222131$

Step-by-step explanation:

You know that a part of Rivka's e-mail password is formed by the last four digits of her telephone number.

The exercise gives you the last four digits of Rivka's telephone number:

$1048$

Now, in order to find the other numbers, you need to descompose $1048$ into its prime factors. Then:

$1048=2*2*2*131$

Therefore, based on this, you can determine that her e-mail password is:

$e-mail\ password=1048222131$

8 0

3 years ago

A video game costs $45.99. It is 45% off today at the store. What is the sale price of the video game?

stepan [7]

Answer:

the sale price of the video game after discount is 25.29

hope this helps have a nice day please give me brainliest:)

Step-by-step explanation:

5 0

3 years ago

The mean consumption of water per household in a city was 1425 cubic feet per month. Due to a water shortage because of a drough

liberstina [14]

Answer:

a) $t=\frac{1175-1425}{\frac{250}{\sqrt{100}}}=-10$

The degrees of freedom are given by:

$df=n-1=100-1=99$

The p value for this case would be given by:

$p_v =P(t_{99}$

Since the p value is significantly lower than he significance level given we have enough evidence to reject the null hypothesis and we can conclude that the true mean is lower than 1425

b) For this case we need to find a critical value in the t distribution with 99 degrees of freedom who accumulates 0.025 of the area in the right tail and we got:

$t_{\alpha/2}=1.984$

Since the calculated value is higher than the critical value we can reject the null hypothesis at the significance level provided and we can say that the true mean is higher than 1425

Step-by-step explanation:

Information given

$\bar X=1175$ represent the sample mean for the cubic feets of households

$\sigma=250$ represent the population standard deviation

$n=100$ sample size

$\mu_o =1425$ represent the value to verify

$\alpha=0.025$ represent the significance level

t would represent the statistic

$p_v$ represent the p value

Part a

We want to test that the mean consumption of water per household has decreased due to the campaign by the city council, the system of hypothesis would be:

Null hypothesis: $\mu \geq 1425$

Alternative hypothesis: $\mu < 1425$

Since we don't know the deviation the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

The statistic is given by:

$t=\frac{1175-1425}{\frac{250}{\sqrt{100}}}=-10$

The degrees of freedom are given by:

$df=n-1=100-1=99$

The p value for this case would be given by:

$p_v =P(t_{99}$

Since the p value is significantly lower than he significance level given we have enough evidence to reject the null hypothesis and we can conclude that the true mean is lower than 1425

Part b

For this case we need to find a critical value in the t distribution with 99 degrees of freedom who accumulates 0.025 of the area in the right tail and we got:

$t_{\alpha/2}=1.984$

Since the calculated value is higher than the critical value we can reject the null hypothesis at the significance level provided and we can say that the true mean is higher than 1425

6 0

3 years ago

Solve the equation. 8nminus​(3nplus4​)equals11

Solve the equation. 8nminus(3nplus4)equals11