7. Brad Studied to the total of 24.4 hours over a period of four days. On average, how many hours did Brad study each day?

(3z+1)(4z+2) simplify

Lorico [155]

You can FOIL (First, Outside, Inside, Last)

(3z+1)(4z+2)

First

(3z+1)(4z+2)

3z * 4z

$12z^{2}$

Outside

(3z+1)(4z+2)

3z * 2

6z

Inside

(3z+1)(4z+2)

4z * 1

4z

Last

(3z+1)(4z+2)

2*1

2

Combine all the products of FOIL together

$12z^{2}$ + 6z + 4z + 2

Combine like terms

$12z^{2}$ + 10z + 2

Hope this helped!

~Just a girl in love with Shawn Mendes

6 0

3 years ago

a ladder leans against the sufe of a house. the angle of elevation of the ladder is 70 degrees when the bottom of the ladder is

nekit [7.7K]

Answer:

≈ 35.1 ft

Step-by-step explanation:

The model is a right triangle with ladder being the hypotenuse and the angle between the ground and the ladder is 70°

Using the cosine ratio, with l being the length of the ladder.

cos70° = $\frac{adjacent}{hypotenuse}$ = $\frac{12}{l}$ ( multiply both sides by l )

l × cos70° = 12 ( divide both sides by cos70° )

l = $\frac{12}{cos70}$ ≈ 35.1 ( to the nearest tenth )

The ladder is approx 35.1 ft long

4 0

3 years ago

Taylor wants to center a 3.5 inch picture on a piece of paper that is 12 inches wide How

AVprozaik [17]

Answer:

The picture is 4.25 inches from the side of the paper

Step-by-step explanation:

- Taylor wants to center a 3.5 inch picture on a piece of paper that is

12 inches wide

- Lets think about that he want to put the picture in the center of the

paper, then divide the length of the paper into two equal parts and the

picture into two equal part

∵ The width of the paper is 12 inches

∵ 12 ÷ 2 = 6 inches

∵ The width of the picture is 3.5 inches

∵ 3.5 ÷ 2 = 1.75

- Now lets subtract from 6 inches (half paper) 1.75 inches (half picture)

to find the distance between the side of the paper and the picture

∵ 6 - 1.75 = 4.25

∴ The distance from the side of the paper to the picture is 4.25 inches

* <em>The picture is 4.25 inches from the side of the paper</em>

* Look to attached figure for more understand

7 0

3 years ago

Read 2 more answers

You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estim

pogonyaev

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.025}{1.28})^2}=655.36$

And rounded up we have that n=656

Step-by-step explanation:

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 80% of confidence, our significance level would be given by $\alpha=1-0.80=0.20$ and $\alpha/2 =0.10$ . And the critical value would be given by:

$z_{\alpha/2}=\pm 1.28$

Solution to the problem

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

Since we don't have prior info for the proportion of interest we can use $\hat p=0.5$ as estimator. And on this case we have that $ME =\pm 0.025$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.025}{1.28})^2}=655.36$

And rounded up we have that n=656

5 0

3 years ago

A simplifie 6 × ( - 24 ) ÷ ( -4 )

kumpel [21]

$\huge\textbf{Hey there!}$

$\huge\boxed{\mathsf{6\times(-24)\div (-4)}}\\\huge\boxed{= \mathsf{\dfrac{6(-24)}{-4}}}\\\huge\boxed{\mathsf{= \dfrac{\bold{-144}}{-4}}}\\\huge\boxed{\mathsf{\dfrac{-144\div-4}{-4\div-4}}}\\\huge\boxed{= \mathsf{\dfrac{\bold{36}}{1}}}\\\huge\boxed{\mathsf{= 36\div1}}\\\huge\boxed{\mathsf{= 36}}\\\\\\\huge\text{\bf Therefore, your answer is: \boxed{\mathsf{36}}}\huge\checkmark$

$\huge\text{\bf Good luck on your assignment and enjoy}\\\huge\text{\bf your day!}$

~ $\frak{Amphitrite1040:)}$

8 0

2 years ago