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3 years ago

Factor the expression below. 16x^2-49

Mathematics

1 answer:

zysi [14]3 years ago

8 0

Answer:

(4x + 7) (4x - 7)

Step-by-step explanation:

16x^2 will be broken down to 4x and 4x since when you multiply them, it will equal 16x^2

Then -49 can be broken down to 7 & -7 since 7 x (-7) = -49

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Let's consider the time as a discrete variable with an increment of 1 minute. You arrive at a bus stop at 10 AM, knowing that th

Dafna11 [192]

Answer:

a) 2/3

b) 1/3

Step-by-step explanation:

Let X be the random event that measures the time you will have to wait.

Since time is uniformly distributed between 10 and 10:30 in intervals of 1 minute

P(n < X ≤ n+1) = 1/30 for every minute n=0,1,...29.

P( X > 10) = 1 - P(X ≤ 10) = 1 - 10/30 = 2/3

P(10 < X ≤ 20) = (20-10)/30 = 1/3

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2 years ago

A student theater charges $9:50 per ticket. The theater has already sold 70 tickets. Write and solve an inequality that represen

kipiarov [429]

70 x 9.50 = 665 so 1000 - 665 =335 and 335 / 9.50 = 35 so, it needs 35 more tickets to get 1000.

4 0

3 years ago

4. Find the monthly average for each list of year-end utility costs given:

BigorU [14]

Answer:

1486.67 or 1487.

Step-by-step explanation:

Find the average of those three things. Add 2,340 plus 470 plus 1650. You get 4460. Since you have three costs, divided 4460 by 3, which is 1486.6 repeating. Round to the nearest hundredth which is 1486.67. Hope this helps!

7 0

3 years ago

a silo is shaped like a cylinderwith a cone on top. the radii of the bases of the cylinder and cone are both equal to 8 feet. th

Ymorist [56]

Answer:

5430.85 square feet

Step-by-step explanation:

Height of the cylindrical part of the cilo = 25 feet

radius of the base cylindrical part of cilo = 8 feet

Now volume of cylindrical part of cilo = $\pi r^{2} h$

Volume of cylindrical part of cilo = $\pi(8^{2})25$ = $1600\pi square feet$

Now,

Height of the conical part of cilo = 6 feet

Radius of the conical part of cilo = 8 feet

Volume of the conical part of cilo = $\frac{1}{3}\pi (8^{2})6$ = $128\pi square feet$

Volume of the entire cilo = $1600\pi + 128\pi = 1728\pi$

since $\pi =\frac{22}{7} therefore,$

volume of entire cilo = $\frac{22}{7} (1728)$ = 5430.85

3 0

3 years ago

Thirty-six percent of customers who purchased products from an e-commerce site had orders exceeding 110. If 17% of customers

Dvinal [7]

Answer:

The right solution is "0.5".

Step-by-step explanation:

According to the question,

P(pay with the sponsored credit card | order exceeds $110)

= $\frac{P(Pay \ with \ the \ sponsored \ credit\ card\ and\ order\ exceeds\ 110)}{P(order \ exceeds \ 110)}$

= $\frac{P(A \ and \ B)}{P(A)}$

By putting the values, we get

= $\frac{0.17}{0.34}$

= $0.5$

Thus, the above is the right solution.

3 0

2 years ago