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3 years ago

Show two different algebraic expressions to represent the phrase "a number times four".

Mathematics

2 answers:

Leya [2.2K]3 years ago

6 0

X*4 and X4. These represent the same: “a number times four “

Aloiza [94]3 years ago

6 0

N4
N•4
N represents the unknown number
4 represents the number we know

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If p is true and q is false, then p ∧ ~q is true.

Nadusha1986 [10]

Answer:

True

Step-by-step explanation:

true ∧ (not false) . . . . . . . has a truth value of True

_____

The "and" operator gives true if all of its operands are true.

5 0

3 years ago

A rectangle has an area of 32 square feet and a perimeter of 24 feet

Georgia [21]

Answer:

length = 8 feet

width = 4 feet

Step-by-step explanation:

l x w = 32

2l + 2w = 24

l = 8

w = 4

3 0

3 years ago

You stand a known distance from the base of the tree, measure the angle of elevation the top of the tree to be 15â—¦ , and then

gogolik [260]

Answer:

The maximum possible error of in measurement of the angle is $d\theta_1 =(14.36p)^o$

Step-by-step explanation:

From the question we are told that

The angle of elevation is $\theta_1 = 15 ^o = \frac{\pi}{12}$

The height of the tree is h

The distance from the base is D

h is mathematically represented as

$h = D tan \theta$ Note : this evaluated using SOHCAHTOA i,e

$tan\theta = \frac{h}{D}$

Generally for small angles the series approximation of $tan \theta \ is$

$tan \theta = \theta + \frac{\theta ^3 }{3}$

So given that $\theta = 15 \ which \ is \ small$

$h = D (\theta + \frac{\theta^3}{3} )$

$dh = D (1 + \theta^2) d\theta$

=> $\frac{dh}{h} = \frac{1 + \theta ^2}{\theta + \frac{\theta^3}{3} } d \theta$

Now from the question the relative error of height should be at most

$\pm p$ %

=> $\frac{dh}{h} = \pm p$

=> $\frac{1 + \theta ^2}{\theta + \frac{\theta^3}{3} } d \theta = \pm p$

=> $d\theta = \pm \frac{\theta + \frac{\theta^3}{3} }{1+ \theta ^2} * \ p$

So for $\theta_1$

$d\theta_1 = \pm \frac{\theta_1 + \frac{\theta^3_1 }{3} }{1+ \theta_1 ^2} * \ p$

substituting values

$d [\frac{\pi}{12} ] = \pm \frac{[\frac{\pi}{12} ] + \frac{[\frac{\pi}{12} ]^3 }{3} }{1+ [\frac{\pi}{12} ] ^2} * \ p$

=> $d\theta_1 = 0.25 p$

Converting to degree

$d\theta_1 = (0.25* 57.29) p$

$d\theta_1 =(14.36p)^o$

4 0

3 years ago

Suppose it snowed 5 inches in 2 days. Then 5/2 describes the average daily snowfall. Write the improper fraction as a mixed numb

cricket20 [7]

Answer:

5/2 = 2 1/2

Step-by-step explanation:

There are 2 parts in one half, meaning 2 halves equals 1.

If you have 5 halves, you of course would get an improper fraction.

To find the answer, dive the numerator by the denominator. 5 ÷ 2 gives you 2.5, or 2 1/2.

Think about it this way: How many times does will 2 go in to 5 evenly? Twice. 2 times 2 is 4, leaving you with one left over. Whatever the remainder is, is the numerator for the improper fraction, and the denominator stays the same.

6 0

3 years ago

A teacher need 10000 small beads for a project. Michael's sell small beads in packs of 60 for 2.99. Teacher buys 77 packages. Wa

aalyn [17]

Answer:

860 beads

Step-by-step explanation:

60 times 77=4620

40 times 113=4520

4620+4520=9140

10000-9140=860

7 0

4 years ago