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3 years ago

Is the sum of two integers always greater than the difference between them? Why or why not?

1 answer:

4 0

Yes because the gap is one less than the bigger of the two integers, plus you are adding a little bit more to the bigger integer so the sum will always be bigger than the difference.

You might be interested in

If the density of a 35.cm3 block of wood is .85 g./ml calculate the woods mass.

Reil [10]

So the equation you're going to be using is mass = density x volume
So the volume of your block is 35cm^3, and your density is .85g/ml

so your equation would be

mass=.85g/ml x 35cm^3

your final answer is 29.75g/cm^3

Hope this helps :)

6 0

3 years ago

Choose all of the expressions that are equal to −9. |−9| −(−9) −|−9| −|9| the distance from zero to nine the opposite of nine

sergiy2304 [10]

Answer:

Step-by-step explanation:

Before we choose all the expression that is equal to -9, we must understand that the modulus of a value can return both its positive and negative value. For example, Modulus of b can either be +b or -b i.e |b| = +b or -b

Hence the following expression are all equal ro -9

a) |−9| is equivalent to -9 because the absolute value of -9 i.e |−9| can return both -9 and 9

b) −|−9| is also equivalent to -9. The modulus of -9 is also equal to 9, hence negating 9 will give us -9. This shows that −|−9| = −|9| = −9

c) −|9| is also equivalent to -9. This has been established in b above.

8 0

3 years ago

Help please

lord [1]

Answer:

Functions evaluated at x = -1

A. a(-1) = -2(-1) + 3 = 5

B. b(-1) = 0 (as per graph)

C. Find the equation first:

m = 4/8 = 1/2
c(x) = 1/2x - 4
c(-1) = -1/2 - 4 = -4.5

D. d(-1) = (-1)² - 4 = -3

E. e(-1) = 2 (as per table)

F. f(-1) = 5/2 = 2.5 (as per graph)

G. g(-1) = 2(3)⁻¹ - 2 = 2/3 - 2 = - 1 1/3

H. h(-1) = 2 (as per table)

The order:

C >> D >> G >> B >> E and H >> F >> A

8 0

3 years ago

The International Coffee Association has reported the mean daily coffee consumption for U.S. residents as 1.65 cups. Assume that

Harman [31]

Answer:

The calculated value t = 1.3788 < 2.0262 at 0.05 level of significance

the null hypothesis is accepted

There is no significant difference between their counterparts across the nation

Step-by-step explanation:

Step(i):-

Given that the mean of the U.S residents = 1.65

Given that the size of the sample 'n' = 38

Mean of the sample = 1.84

Given that the standard deviation of the sample (S) = 0.85

Step(ii):-

Null hypothesis:H₀:

There is no significant difference between their counterparts across the nation

Alternative Hypothesis:-H₁:

There is a significant difference between their counterparts across the nation

Test statistic

$t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }$

$t = \frac{1.84-1.65}{\frac{0.85}{\sqrt{38} } }$

t = 1.3788

Degrees of freedom

ν = n-1 = 38-1 = 37

t₀.₀₅ ,₃₇ = 2.0262

The calculated value t = 1.3788 < 2.0262 at 0.05 level of significance

Null hypothesis is accepted

Final answer:-

There is no significant difference between their counterparts across the nation.

5 0

3 years ago

A 2-quart carton of apple juice costs $4.56. What is the price per cup?

Ede4ka [16]

Answer:

57 cents

$0.57

Step-by-step explanation:

1 quart= 4 cups

2 quarts=8 cups

8 cups=4.56

Divide each side by 8

1 cup=0.57

Hope this Helps!

8 0

3 years ago