Temperature changes throughout the hours of a day. Early in the morning, temperature increases slowly. At noon, the temperature rises sharply. During the afternoon, the temperature stays the same for several hours. As night falls, the temperature decreases slightly. Choose the graph that best represents this situation,

Answers

Answer 1

Answer:

Final answer:

A line graph would best represent the temperature changes throughout the hours of a day, showing a slow increase in the morning, a sharp rise at noon, a plateau in the afternoon, and a slight decrease at night.

Explanation:

The best graph to represent the temperature changes throughout the hours of a day would be a line graph. The graph should show a slow increase in temperature early in the morning, a sharp rise at noon, a plateau during the afternoon, and a slight decrease as night falls. This pattern follows the circadian rhythm, where temperature rises throughout the waking day, peaks in the afternoon, and falls during sleep.

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Answer 2

Answer:

Answer:

Temperature changes throughout the hours of a day. Early in the morning, temperature increases slowly. At noon, the temperature rises sharply. During the afternoon, the temperature stays the same for several hours. As night falls, the temperature decreases slightly. Choose the graph that best represents this situation,

Step-by-step explanation:

the answer is D

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How much would $600 invested at 8% interest compounded continuously be worth after 3 years? Round your answer to the nearest cent.

Answers

Answer:$762.73

Step-by-step explanation:

The answer would be 762.75

Hope this helps. Good luck!

The width of a rectangle is 61 centimeters more than the length. The perimeter is 406 centimeters. Find the length and the width.

Answers

$Step \; 1: \; Assign \; Variables \; for \; the \; unknown \; that \; we \; need \; to \; find$

$Let \; x \; be \; length \; of \; the \; rectangle$

$Step \; 2: \; Set \; up \; equation \; based \; on \; information \;\n given \; about \; the \; rectangle$

$Statement \; 1: Width \; of \; a \; rectangle \; \nis \; 61cm \; more \; than \; the \; length\n\nWidth \; = \; 61+x\n\nStatement \; 2: \; The \; perimeter \; is \; 406cm\n\nPerimeter=2(Length+Width)\nPerimeter =2(x+61+x)\n\nSo \; the \; mathematical \; equation \; would \; be \n 2(x+61+x)=406$

$Step \; 3: \; Solve \; the \; equation \; by \n undoing \; whatever \; is \; done \; x.\n\n2(x+61+x)=406\nGroup \; and \; Combine \; like \; terms \; inside \; the \; parenthesis\n\n2(2x+61)=406\nDistribute \; 2 \; in \; the \; left \; side \; of \; the \; equation\n\n4x+122=406\nSubtract \; 122 \; on \; both \; sides\n\n4x+122-122=406-122\nSimplify \; on \; both \; sides\n\n4x=284\nDivide \; on \; both \; sides\n\n(4x)/(4)=(284)/(4)\nSimplify \; fractions \; on \; both \; sides\n\nx=71$

$Conclusion:\nLength=x=71cm\nSubstituting \; 71 \; for \; x \; and \; find \; Width \; value.\nWidth=61+x=71+61=132cm\n\nLength \; is \; 71 cm \; and \; Width \; is 132cm$

Final answer:

The length of the rectangle is 71 centimeters and the width is 132 centimeters.

Explanation:

To find the length and width of the rectangle, we can set up a system of equations. Let's denote the length of the rectangle as L and the width as W. We know that W = L + 61. The formula for the perimeter of a rectangle is P = 2L + 2W. Plugging in the given values, we have 406 = 2L + 2(L + 61). Simplifying this equation, we get 406 = 4L + 122. Subtracting 122 from both sides, we obtain 284 = 4L. Dividing both sides by 4, we get L = 71. Finally, substituting the value of L into the equation W = L + 61, we find W = 71 + 61 = 132. Therefore, the length of the rectangle measures 71 centimeters and the width measures 132 centimeters.

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Solve for x: 45>4x+9 53≤4x+9

Answers

Answer:

The system of inequalities 45 > 4x + 9 and 53 ≤ 4x + 9 doesn't have any solution, because the restrictions on x are contradictory (x can't be both less than 9 and greater than or equal to 11).

Step-by-step explanation:

These are a set of compound inequalities. Let's solve these equations step by step. The first inequality 45 > 4x + 9, we start to solve it by subtracting 9 from both sides of the inequality, which gives us 36 > 4x. Then, we divide each side by 4 to get x < 9.

The second inequality is 53 ≤ 4x + 9. We solve this by subtracting 9 from both sides to get 44 ≤ 4x. Then, we divide each side by 4 to find x ≥ 11.

However, these two results are contradictory (as x cannot be both less than 9 and greater than or equal to 11 simultaneously). So, there is no solution to this system of inequalities.

The Johnsons own a home whose market value is $93,000. Their municipality taxes at 80% and the rate is 65 mills or $65 per thousand. What will the Johnsons pay in taxes?

Answers

Answer: He paid $ 4836 in taxes.

Step-by-step explanation:

Here, the total value of the house = $ 93,000

And, the amount on which municipal taxes imposed = 80% of the value of house

= 80% of 93000

= 0.8 × 93000

= $ 74,400

Now, the tax rate is $65 per thousand,

⇒ $\text{The amount of tax for 1000 dollars }= \$ 65$ ,

⇒ $\text{The amount of tax for 1 dollar}=(65)/(1000)$

⇒ $\text{The amount of tax for 74400 dollars}=(74400* 65)/(1000)$

$=(4836000)/(1000)$

$=\$ 4836$

Thus, he paid $ 4836 in taxes.

Answer:

6760

Step-by-step explanation:

80% x 93000 = 74400

74.4 x 65 = 6760

Which value is equivalent to 15.2% written as a decimal

Answers

$p\%=(p)/(100)\n\n\n15.2\%=(15.2)/(100)=0.152$

Sqrt(15)/5 *sqrt(20)

Answers

so if you mean: $( √(15) )/(5)$ times $√(20)$ then
simplify
rememeber
$x^{ (m)/(n) }= \sqrt[n]{ x^(m) }$
and
$[x^(n)]^(m)= x^(nm)$
and
$√(x) √(y)= √(xy)$

multiply

$( √(15) )/(5)$ times $( √(20) )/(1)$ = $( √(300))/(5)$

simplify √300
√300=√3 times √100
we know that √100=10 so
√300=√3 times 10
therefor
$( √(300) )/(5)$ = $(10√(3))/(5)$ = $(5)/(5)$ times $(2√(3))/(1)$ = 1 times $(2√(3))/(1)$ =2√3

So,

$( √(15))/(5) * √(20)$

Simplify the square root of 20.
$√(20) = √(4) * √(5) = 2 * √(5) = 2 √(5)$

$( √(15))/(5) * ( 2√(5) )/(1)$

Multiply.
$( 2√(75))/(5)$

Simplify.
$( 2√(25)* √(3) )/(5)$
$( 2 * 5* √(3) )/(5)$
$(10√(3) )/(5)$
$(2√(3) )/(1)$
$2√(3)$

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