All categories

1 year ago

20 points

Mathematics

1 answer:

Fantom [35]1 year ago

7 0

Answer:

The value 4.5 is rational and the value 15−−√ is irrational. The sum of 4.5 and 15−−√ has a non-repeating and non-terminating decimal expansion. Therefore, the sum of 4.5 and 15−−√ is irrational. I can't explan but that's the correct Answer

You might be interested in

Jenny opened a package of screws quickly and many of them spilled on the floor. She needs to organize the fasteners according to

hichkok12 [17]

We have to compare diameters and arrange them in order smallest to greatest

We can see units for option A and B are in square inches so they represents area. So first we will find diameter from area using formula

$A = \pi r^{2}$

so for choice (A) area is given as $4.375 \times 10^{7}$ . So plug this in A place in formula and then solve for radius r

$4.375 \times 10^{7} = \pi r^{2}$

$\frac{4.375 \times 10^{7}}{\pi} = \frac{\pi r^{2}}{\pi}$

$1.393 \times 10^{7} } = r^{2}$

$\sqrt{1.393 \times 10^{7}} = \sqrt{r^{2}}$

3731.76 = r

So screw A will have
$diameter = 2 \times r = 2 \times 3731.76 = 7463.52$ inches

Similarly for choice (E) area is $1.428 \times 10^{1} = 14.28$
so again plug in formula

$A = \pi r^{2}$

$14.28 = \pi r^{2}$

$\frac{14.28}{\pi} = \frac{\pi r^{2}}{\pi}$

$4.5477 = r^{2}$

$\sqrt{4.5477} = \sqrt{r^{2}}$

2.13201 = r

So screw E will have
$diameter = 2 \times r = 2 \times 2.13201 = 4.26402$ inches

So diameters of all screws are as follows:

Screw A: 7463.52 inches
Screw B: 1.5 inches
Screw C: $1\frac{7}{8} = \frac{1\times 8+7}{8} = \frac{15}{8} = 1.875$ inches
Screw D: 0.25 inches
Screw E: 4.26402 inches

Comparing all numbers 7463.52, 1.5, 1.875, 0.25, 4.26402 we can see that smallest number is 0.25, then comes 1.5, then 1.875 and then 4.26402 and then 7463.52

So order from least to greatest will be screw D (0.25), B(1.5), C(1.875), E (4.26402), A (7463.52).

So thats the order D,B,C,E,A and the final answer

6 0

3 years ago

Read 2 more answers

Explain why 3/4 of 16 is the same as 3x16 divided by four?

kolbaska11 [484]

Its not. because 16 / .75 (which is 3/4) = 21.33--

3 * 16 = 48 / 4 = 12

I hope this helps :)

4 0

2 years ago

Two banks offer compound intereston your investment while you deposit with them. Bank A calculates compound interest annuallyand

sladkih [1.3K]

Answer:

Bank B because the more often you compound interest, the more interest you earn.

Step-by-step explanation:

Bank A compounds the interest once a year.

Bank B compounds the interest twice a year.

Let's create an example of two investments of the same amount of money, the same interest rate, and the same time. The only difference will be the number of times the interest is compounded per year.

Compound interest formula:

$A = P(1 + \dfrac{r}{n})^{nt}$

where

A = future value

P = principal invested

r = interest rate

t = number of years

n = number of times interested is compounded in 1 year

Example:

P = $1000

r = 5%

t = 5 years

Bank A: n = 1

Bank B: n = 2

Bank A:

$A = $1000(1 + \dfrac{0.05}{1})^{1 \times 5} = $1276.28$

Bank B:

$A = $1000(1 + \dfrac{0.05}{2})^{2 \times 5} = $1280.08$

Bank A's investment is worth $1276.28 after 5 years, but Bank B's investment is worth $1280.08 after the same 5 years. Compounding twice per year instead of only once per year earns more interest.

3 0

2 years ago

Write the equation of the line with a slope of -4/5

svet-max [94.6K]

Answer:

point slope form: y-3=-4(x-5)

6 0

2 years ago

What is the value of x

Alchen [17]

Answer:

A. 36 degrees

Step-by-step explanation:

180 is for straight lines,

180-79-68

= 36 degrees

4 0

2 years ago