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3 years ago

Which of the following statements are true?

Mathematics

1 answer:

Verizon [17]3 years ago

8 0

The correct option for the given question is B) statements 3 & 4.

Step by Step Explanation:

All rational numbers are irrational numbers - These statement is false .The rational numbers are the numbers which are written in Ratio The number which has quotient or fraction is a rational numbers . While the irrational numbers are the numbers are the numbers which are not rational because it cannot be written as ratio of integers .
All integers are Natural numbers - These statement is false . Integers can be negative while natural numbers start from 1,2... while they all are positive so all integers are not natural numbers. but all natural numbers are integers .
All Rational & Irrational Numbers are Real Numbers - These statement is true as real numbers are the numbers which are represented on the number line . While both rational and irrational numbers are real numbers
Rational Numbers are not Irrational Numbers, vice versa - These statement is true . Referring the 1st point we can say that this statement is true. Irrational numbers are the numbers which are not rational and vice versa.

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The Marrieds are planning to serve 380 guests at a breakfast event. They plan to serve tomato juice, which comes in 46 oz. cans.

Anna35 [415]

12 x 46 = 552
5 x 380 = 1900
552 x 3.44 = 1900
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3 years ago

A clothing store is having a clearance sale where all items, even those that were

Luden [163]

Answer:

Step-by-step explanation:

15% off of $27 is $22.95

40% off of $22.95 is $13.77

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3 years ago

What is the maximum volume in cubic inches of an open box to be made from a 12-inch by 16-inch piece of cardboard by cutting out

Romashka-Z-Leto [24]

If you start with a 12x16 rectangle and cut square with side length x, when you bend the sides you'll have an inner rectangle with sides $12-2x$ and $16-2x$ , and a height of x.

So, the volume will be given by the product of the dimensions, i.e.

$(12-2x)(16-2x)x = 4x^3-56x^2+192x$

The derivative of this function is

$12x^2-112x+192$

and it equals zero if and only if

$12x^2-112x+192=0 \iff x = \dfrac{14\pm 2\sqrt{13}}{3}$

If we evaluate the volume function at these points, we have

$f\left(\dfrac{14-2\sqrt{13}}{3}\right) = \dfrac{64}{27}(35+13\sqrt{13})> f\left(\dfrac{14-2\sqrt{13}}{3}\right) = -\dfrac{64}{27}(13\sqrt{13}-35)$

So, the maximum volume is given if you cut a square with side length

$x=\dfrac{14-2\sqrt{13}}{3}\approx 2.7$

5 0

3 years ago

The list of integers 15, 20, 26, x, y, 32 has a mode of 26 and an arithmetic mean of 27. What is the median of the list of numbe

OleMash [197]

Answer:

The median of the list is 26.

Step-by-step explanation:

Since the mode of the list is 26, and so far we only have one occurrence of 26 in the list, we know that one of our unknowns must equal 26.

If we set x = 26, we can then solve for y using the arithmetic mean formula. We are left with: $\frac{15+20+26+26+y+32}{6} = 27$ .

Solving for y leaves us with y=43.

Finally, we can put the list in order and find the middle values. Since the two middle values are 26, the median of the list is 26.

4 0

3 years ago

Ariel wants to write 8 entries for her blog. After 2 hours, she has 5 entries left. After 4 hours, she has 2 entries left. Which

mash [69]

Let x be a time in hours and y be an amount of remaining entries. You have that:

At start Ariel wants to write 8 entries for her blog. This means that x=0 and y=8 (0 entries were written). The point with coordinates (0,8) belongs to needed graph.
After 2 hours, she has 5 entries left. This gives you that at x=2, y=5 and graph passes through the point (2,5).
After 4 hours, she has 2 entries left. This gives you that at x=4, y=2 and graph passes through the point (4,2).

Find the slope of the line that is passing through the points $(x_1,y_1)$ and $(x_2,y_2)$ by formula

$\dfrac{y_2-y_1}{x_2-x_1}.$

Thus, the slope is

$\dfrac{5-2}{2-4}=-1.5.$

Answer: graph of line going through (0, 8) with a slope of -1.5

6 0

3 years ago

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