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4 years ago

Round to the nearest cent. 5. $406.439

Mathematics

1 answer:

boyakko [2]4 years ago

7 0

Answer:

406.4

Step-by-step explanation:

When rounding you only look at the number you're rounding and the one before it. In this case it would be the 4 and 3 after the decimal since we're rounding to the nearest cent. If the numbers before the one you're rounding are 0-4 then you leave the number the same. If the numbers are between 5-9 then you add one to the number. Since the number before 4 is between 0-4 you leave it as 4. But if it was between 5-9 then you'd change the 4 to 5.

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A sine function is transformed such that it has a single x-intercept in the interval (0,pi), a period of pi and a y-intercept of

Alex787 [66]

Just to make sure we're using the same language, I'm going to use the function form of:

$y = A\sin(kx) + h$

[] I would agree that k = 2, since the period is only half as long as a normal sine function. So, we so far, have y = A sin(2x) + h. We still need to find A and h.

[] The y-intercept is 3. Remember that the y-intercept happens when x = 0. So, plugging in x = 0 into our formula, we have: 3 = A sin(2*0) + h. In other words, 3 = A sin(0) + h = 0 + h = h. So, we now know that h = 3. The formula is now y = A sin(2x) + 3.

[] Finally, there is a single x-intercept. Picture what the sine function looks like right now, it is floating in the air around y = 3. We need to stretch it vertically until it just grazes the x-axis.

If A = 1, then our sine function bounces between 2 and 4 (+/- 1 around h = 3). But that doesn't touch 0, so no good.

If A = 2, then our sine function bounces between 1 and 5 (+/- 2 around h = 3). Again, not quite touching 0 yet.

The answer should be A = 3, then our sine function bounces between 0 and 6 (+/- 3 around h = 3).

The final formula is y = 3 sin(2x) + 3.

7 0

3 years ago

Ble. 6 co 10 square units

Vlada [557]

Answer:

1/2×10×6=30

Step-by-step explanation:

H=6

L=10

therefore;

1/2×6×10=30

5 0

3 years ago

Read 2 more answers

A publisher reports that 30% of their readers own a particular make of car. A marketing executive wants to test the claim that t

IgorLugansk [536]

Answer:

we will fail to reject the null hypothesis and conclude that there's insufficient evidence to support the claim that the percentage is actually more than the reported percentage

Step-by-step explanation:

We are given;

Population proportion; p = 30% = 0.3

Sample proportion; p^ = 37% = 0.37

Sample size; n = 100

Let's define the hypotheses;

Null hypothesis; H0: p ≤ 0.3

Alternative hypothesis; Ha: p > 0.3

Formula for the test statistic is;

z = (p^ - p)/√(p(1 - p)/n)

Thus;

z = (0.37 - 0.3)/√(0.3(1 - 0.3)/100)

z = 0.07/0.04582575695

z = 1.53

From z-distribution table, at z=1.53 we have;

p-value = 1 - 0.9370 = 0.063

This p-value is greater than the significance level of 0.02 and thus we will fail to reject the null hypothesis and conclude that there's insufficient evidence to support the claim that the percentage is actually more than the reported percentage

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3 years ago

Give the coordinates of the point located halfway between (2,1) and (2,4).

nordsb [41]

((X1+x2)/2,(y1+y2)/2) ---> ((2+2)/2,(1+4)/2) ---> (2,2.5)

8 0

3 years ago

Solve the equation -2x +8 = -10 x/-5 + -15 = -22

ser-zykov [4K]

Answer to first one is X = 9
Answer to second one is X = 35

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3 years ago