A rectangle has length 32 inches and its perimeter is 6 times its width. What is its width in inches

Given the graph that is shown. What is the range of the function??!

lisabon 2012 [21]

Answer:

$-3\leq x$ < 6

third answer choice

Step-by-step explanation:

3 0

3 years ago

Find the point slope formula of negative (-6,0) and slope of 2/3

qaws [65]

Answer:

$y-0=\frac{2}{3}(x+6)$

Step-by-step explanation:

The point-slope formula is $y-y_{1}=m(x-x_{1})$ . Plug in the values from the given information and you have your answer.

8 0

3 years ago

a home improvement store rents it’s delivery truck for $19 for the first 75 minutes and $4.75 for each additional 1/4 hour. if a

Crank

Answer: $42.75

Step-by-step explanation:

Given: A home improvement store rents it’s delivery truck for $19 for the first 75 minutes and $4.75 for each additional 1/4 hour.

Since, 1 hour = 60 minutes

1/4 hour = $\frac{60}{4}=15\ minutes$

If a customer rented the truck at 11:10 am and returned the truck at 1:40 pm the same day, what would his rental cost be

Time taken = 150 minutes

Since charge for first 75 minutes is fixed and charge of $4.75 for each additional 1/4 hour (15 minutes) is given by

The additional charge = $\frac{(150-75)}{15}\times4.75=23.75/tex]The total his rental cost =[tex]19+23.75=$42.75$

3 0

3 years ago

Please help asap 100 points

vesna_86 [32]

Answers:

Problem #1: Option C, 166 yards cubed

Problem #2: Option A, 10

Step-by-step solution:

The first problem may seem a lot more confusing that it really is and this actually happened to me when I looked at it. Just because the cylinder is slanted that actually doesn't change any of the volume that we would have if it was straight up with the same diameter and height.

Using what we know about cylinders, let us plug all the information inside of the formula to determine the volume of the cylinder. However, before doing that we need to determine the radius of the circle from the diameter that was given.

Divide the diameter by two to get the radius

$Radius = \frac{Diameter}{2}$

$Radius = \frac{5.2\ yd}{2}$

$Radius = 2.6\ yd$

Plug in the values

$V_{cylinder} = (\pi * radius^2)*height$

$V_{cylinder} = (\pi * (2.6\ yd)^2)*7.8\ yd$

Simplify the exponent

$V_{cylinder} = (\pi * (2.6)^2 *(yd)^2)*7.8\ yd$

$V_{cylinder} = (\pi * 6.76\ yd^2)*7.8\ yd$

Simplify the expression

$V_{cylinder} = (21.237\ yd^2)*7.8\ yd$

$V_{cylinder} = 165.65\ yd^3$

Therefore, after simplifying the expression using the cylinder volume formula and the given information we were able to determine that the option that best fits the description of our answer is option C, 166 cube yards.

Now that we completed the first question, we can move onto the second question. In this question we are given a figure along with 3 numbers and one unknown, x, which we need to find the value of. We need to use the Secant-Secant Power Theorem to help determine our solution.

Make an expression to represent the scenario

$32(x + 32) = 28(20 + 28)$

We know have an expression which we can now simplify and get the value of the unknown easily. The first step would be to distribute the 32 and 28.

Distribute both sides

$32(x + 32) = 28(20 + 28)$

$(32 * x) + (32 * 32) = (28 * 20) + (28 * 28)$

$32x + 1024 = 560 + 784$

Simplify the expression

$32x + 1024 = 1344$

We now have a simple expression where we can now subtract both sides by 1024 to help isolate x with its coefficient.

Subtract 1024 from both sides

$32x + 1024 - 1024 = 1344 - 1024$

$32x = 1344 - 1024$

$32x = 320$

The final step that we have to help fully isolate x by itself is to divide both sides by 32 which would remove the coefficient from x.

Divide both sides by 32

$\frac{32x}{32} = \frac{320}{32}$

$x = \frac{320}{32}$

$x = 10$

After simplifying the expression completely, we are able to see that the best option that fits our description is option A, 10.

8 0

2 years ago

Construct a 95% confidence interval for the population mean, μ. Assume the population has a normal distribution. A random sample

GuDViN [60]

Answer: $(628.48,\ 661.52)$

Step-by-step explanation:

Given : Sample size : $n=16$ , which is a small sample (, 30) so we use t-test.

Sample mean : $\overline{x}=645 \text{ hours}$

Standard deviation : $\sigma = 31 \text{ hours}$

Significance level : $\alpha=1-0.95=0.05$

Critical value : $t_{n-1,\alpha/2}=2.131$

The confidence interval for population mean is given by :-

$\overline{x}\pm t_{n-1,\alpha/2}\dfrac{\sigma}{\sqrt{n}}\\\\=645\pm(2.131)\dfrac{31}{\sqrt{16}}\\\\\approx645\pm16.52\\\\=(645-16.52,\ 645+16.52)\\\\=(628.48,\ 661.52)$

Hence, a 95% confidence interval for the population mean $\mu$ = $(628.48,\ 661.52)$

6 0

3 years ago