9. Evan and Yong used this shape
, representing the unit fraction, to draw 1 whole.
Shania thinks both of them did it correctly. Do you agree with her? Explain your answer.

Answer: The amount of alcohol the woman consumed can be calculated as follows:

Two glasses of wine * 22 grams of alcohol per glass = 44 grams of alcohol

To convert this amount to milliliters, we need to know the concentration of the alcohol, which is typically around 12% for wine. So, 44 grams of alcohol is equivalent to 44 grams / 0.12 g/mL = 367 mL.

Next, we can calculate the woman's blood alcohol content (BAC) using the following formula:

BAC = (Alcohol consumed in mL) / (Blood volume in mL) * 100%

The blood volume for a 103-pound woman with approximately 6 liters of blood can be estimated as follows:

6 liters * 1000 mL/liter = 6000 mL

So, the BAC can be calculated as follows:

BAC = (367 mL) / (6000 mL) * 100% = 0.0612 * 100% = 6.12%

Therefore, the woman's blood alcohol content would be 6.12% if all the alcohol were immediately absorbed into her bloodstream.

Step-by-step explanation:

Answer:

The correct answer is D.

Step-by-step explanation:

D. y = 0.8x + 4.

The requried complete system of equation is given as -2x + y = -5 and y = -x + 10.

A system of simultaneous equations, also known as a system of equations, is a set of two or more equations that must be solved at the same time. In a system of two equations, for example, the solution is the set of values of the variables that satisfy both equations simultaneously.

Here,
Given equation are
_x + y = −5 - -- - - -(1)

y = −x + _ - - - - - (2)

Now,
Let the coefficient of x in equation 1 is m and the intercept of equation 2 be y,

In equation 1,
Put the given points (5, 5)
m(5) + 5 = - 5
5m = -10
m = -2

Now,
Put the same point equation 2 with C
5 = -5 + C
C = 10

Thus, the requried complete system of equation is given as -2x + y = -5 and y = -x + 10.

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The end behavior of the given fucntion is [tex]x\rightarrow \infty , y\rightarrow-\infty\\x\rightarrow-\infty, y\rightarrow\infty[/tex].

End behavior of a equation is defined as behavior of graph of the function at the ends of the x-axis.

Given, [tex]4x^{5} +1[/tex].

We have to find the end behavior of the graph.

The corresponding graphical representation is given below:

From the graph it is clearly known that as,

Value of x increases ⇒Value of y decreases.

That is x approaches positive infinity and y approaches negative infinity.

i.e., [tex]x\rightarrow \infty , y\rightarrow-\infty\\x\rightarrow-\infty, y\rightarrow\infty[/tex]

Hence, the end behavior of the given equation is [tex]x\rightarrow \infty , y\rightarrow-\infty\\x\rightarrow-\infty, y\rightarrow\infty[/tex].

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Answer:

Step-by-step explanation:

The correct answer is D. m∠6 + m∠7 = 180°.

When a transversal cuts two parallel lines, corresponding angles are equal and alternate interior angles are supplementary. This means that the sum of alternate interior angles is equal to 180°. In this diagram, ∠6 and ∠7 are alternate interior angles, so it is necessarily true that m∠6 + m∠7 = 180°.

The other options are not necessarily true. Option A states that m∠1 = m∠7, but this is only true if the two lines being cut by the transversal are perpendicular. Option B states that m∠3 = m∠6, but this is only true if the two lines being cut by the transversal are parallel. Option C states that m∠5 + m∠8 = 90°, but this is only true if the two lines being cut by the transversal are perpendicular.

Step-by-step explanation:

the volume of such a regular cylinder is (as for any regular object) :

base area × height

and for a cylinder the base area is a circle, and its area is

pi×r²

so, combined, the volume of our cylinder is

pi×r²×height = pi×9²×26.5 = pi×81×26.5 =

= 6,743.428631... cm³

≈ 6,743 cm³

The first equation 3(3x - 4) = 24 can be solved for x as follows:

3(3x - 4) = 24

9x - 12 = 24

9x = 36

x = 4

So, if Messi hit the target, he would score 4 points.

The second equation 6.8 (2.3x + 5.7) = 132.6 can be solved for x as follows:

6.8 (2.3x + 5.7) = 132.6

2.3x + 5.7 = 132.6 / 6.8

2.3x + 5.7 = 19.55

2.3x = 13.85

x = 6

So, if Ronaldo hit the target, he would score 6 points.

The difference in the interest accrued by the end of the first month, given the credit rating and the cost is $ 21. 97

First, find the amount borrowed to pay for the new car or the used car.

New car :

= ( 19, 072 x ( 1 + 4. 5 % sales tax )) - 1, 200 down payment

= $ 18, 730. 24

The used car :

= 15, 635. 00 x ( 1 + 4. 5 %) - 1, 200

= $ 15, 138. 58

The difference in interest at the first month is :

= ( Amount borrowed for new car x Monthly APR for fair credit rating ) - ( Amount borrowed for old car x Monthly APR for fair credit rating )

= ( 18, 730. 24 x 7. 55 % / 12 ) - ( 15, 138. 58 x 7. 60 % / 12 )

= $ 21. 97

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As per the probability, the value of E(X) is option (a) 0.8

In statistics, the expected value or mean is a measure of central tendency that represents the average outcome of a random variable over an infinite number of trials.

To find the expected value of X, we need to calculate the probability of each possible outcome and multiply it by its corresponding value. In this case, the possible outcomes are 0 and 1, and their probabilities can be calculated as follows:

The probability of drawing a 0 is 4/5 because there are 4 zeros in the list and 5 total numbers.

The probability of drawing a 1 is 1/5 because there is only one 1 in the list and 5 total numbers.

Using these probabilities, we can calculate the expected value of X as follows:

E(X) = (0 x 1/5) + (1 x 4/5)

The first term in this equation represents the probability of drawing a 0, multiplied by its value (which is 0), and the second term represents the probability of drawing a 1, multiplied by its value (which is 1). Simplifying this equation gives:

E(X) = 4/5 =0.8

Therefore, the answer to this problem is (a) 0.8, since the expected value of X is 0.8 of the possible outcomes.

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Answer:10 1/2

Step-by-step explanation:

Jasper is approximately 18.67 years old as per the given ratio.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Given, the ratio of your age and the age of Jasper is 3:4.

Let's use this ratio to find out how old Jasper is if you are 14.

First, we can set up a proportion:

3/4 = 14/x

where x is Jasper's age.

To solve for x, we can cross-multiply:

3x = 4 * 14

3x = 56

x = 56/3

x ≈ 18.67

So if you are 14 and the ratio of your age to Jasper's age is 3:4, then Jasper is approximately 18.67 years old.

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Answer:

I know that answer

Step-by-step explanation:

answer is -23

Answer:

Step-by-step explanation:

To calculate the percentage increase in the estimated number of millionaire households from 2017 to 2018, we need to follow these steps:

Determine the estimated number of millionaire households in 2017 and 2018. Let's call these numbers A and B, respectively.

Subtract the 2017 number from the 2018 number: B - A = C

Divide the result from step 2 by the 2017 number: C / A = D

Multiply the result from step 3 by 100 to convert it to a percentage: D * 100 = E

Round the result from step 4 to the nearest tenth of a percent.

In this case, we are given the percentage increase, so we can skip steps 1-4 and simply round the given percentage increase to the nearest tenth of a percent.

The perimeter of the parallelogram is 10units

A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length, and the opposite angles are equal in measure. Also, the interior angles on the same side of the transversal are supplementary. The Sum of all the interior angles equals 360 degrees.

To obtain the perimeter of the parallelogram , we add all the sides together.

P = 2(l+b)

P= 2( c-2+12-c)

P = 2( c-c -2 +12 )

P = 2( 10)

P = 20

therefore the perimeter of the parallelogram is 20

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Answer:

Step-by-step explanation:

here's a more detailed explanation:

The assistant received a raise of 10%, which means that their salary increased by 10% of the original salary. The new salary after the raise is given as 47,585.

To find the original salary before the raise, we need to reverse the effect of the raise. To do this, we divide the new salary by the factor that represents the increase, which is 1 plus the raise as a decimal.

The raise as a percentage is 10%, which is equivalent to 0.10 as a decimal. Therefore, the factor that represents the increase is 1 + 0.10 = 1.10.

We can now use this factor to find the original salary by dividing the new salary by the factor:

Original salary = New salary / (1 + Raise as a decimal)

Original salary = 47,585 / (1 + 0.10)

Original salary = 47,585 / 1.10

Original salary = 43,259.09

So the salary before the raise was 43,259.09.

Answer:

Step-by-step explanation:

К счастью, другое маленькое дерево поблизости заметило растущее дерево и дало несколько интересных советов о том, как удерживать его распускающиеся листья новыми и интересными способами. Было забавно испытать на других маленьких деревьях множество различных способов расположения листьев. Другие маленькие деревья вскоре заметили это и начали поворачивать свои немногочисленные листья под углом. Другие маленькие деревья могли лишь слегка приподнять свои листья.

Растущее дерево решило, что будет немного приподнимать листья на радость другим деревьям. Но, в конце концов, все маленькие деревья начали отращивать больше листьев на ветвях, которые тянулись еще дальше. С каждым сезоном многие листья невозможно было приподнять. Некоторые из растущих деревьев продолжали шептаться, в то время как некоторые научились громко смеяться, некоторым, казалось, нравилось плакать и падать духом, а некоторые росли вдали от группы из-за того, как многие времена года влияли на них и на другие деревья и животных вокруг них.

За прошедшие годы родительские деревья время от времени мельком смотрели вниз, чтобы увидеть, как растут их семена, и они поднимали свои ветви к небу, чтобы пропустить солнечный свет через полог. Все растущие деревья заметят это и поднимут головы, чтобы насладиться солнечным светом. Те, кто не обращал внимания на поведение своего родительского дерева, обычно подражали другим растущим деревьям и умудрялись собирать немного солнечного света. Иногда растущее дерево переставало расти, потому что не могло достичь солнечного света. Его листья не будут такими обильными, а его ветви будут тянуться дальше, чтобы быть ближе к солнечному свету других растущих деревьев. По прошествии многих сезонов растущие деревья становились все выше и теперь можно было видеть, что их место среди кроны деревьев было довольно тесным.

The function table.

table

x f(x)

-4 4(-4)+3 = -16+3 = -13

0 4(0)+3 = 0+3 = 3

2 4(2)+3 = 8+3 = 11

4 4(4)+3 = 16+3 = 19

5 4(5)+3 = 20+3 = 23

What is Function?

A function from a set X to a set Y allocates exactly one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain.

We can complete the function table by substituting the given values of x into the rule for f(x) and simplifying in the following table.

Therefore, the completed function table is as follows.

so final table is

x f(x)

-4  -13

0  3

2 11

4  19

5  23

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The volume of the rectangular prism based on the assumed values will be 640 inches³.

It should be noted that to find the volume of a rectangular prism, we have to multiply the length of the prism by the width of the prism by the height of the prism.

Let's assume that the base length of a rectangular prism is 8 inches, the base width is 5 inches and the height of the prism is 16 inches, as we want to find the volume of the rectangular prism.

The volume of the rectangular prism formula, the volume of rectangular prism = length × width × height of the prism

= 8 × 5 × 16

= 640 cubic inches.

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Answer:

Theres nothing shown

Step-by-step explanation:

The pattern for the hypotenuse in the Pythagorean spiral is √(a² + b²)

The Pythagorean spiral is formed by drawing squares whose side lengths are given by the Pythagorean triples, which are sets of three positive integers (a, b, c) that satisfy the equation a² + b² = c².

In the Pythagorean spiral, the hypotenuse of each square is the diagonal of the square, which is given by the square root of the sum of the squares of the sides. For a square with side lengths a and b, the hypotenuse (diagonal) is given by:

√(a² + b²)

Since the side lengths of each square in the Pythagorean spiral are given by the Pythagorean triples, the hypotenuse of each square can be calculated using the Pythagorean theorem. Therefore, the pattern for each hypotenuse in the Pythagorean spiral is that it is given by the square root of the sum of the squares of the side lengths, where the side lengths are integers that form a Pythagorean triple.

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The proof of the parallelogram has been given below

We have WXYZ as a parallelogram.

XW = ZY

XW // ZY

such that

M ∠VXW = M VZY (This is alternate interior angles,)

M∠VWX = M ∠VYZ

therefore ΔVXW ≅ Δvzy

wv = yv

Then XZ bisects WY

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The approximate length of the guy wire supporting the radio tower, as determined using trigonometry with the given information of a 45 degree angle and a height of 145 feet up the tower, is 145 feet.

We can use trigonometry to solve this problem. Let's call the length of the guy wire "x". The opposite side of the right triangle formed by the guy wire and the ground is 145 feet (the height of the tower where the guy wire is attached), and the angle opposite the guy wire is 45 degrees.

Using the trigonometric function tangent, we can set up the following equation:

[tex]tan(45)[/tex] = opposite / adjacent

where "opposite" is 145 feet and "adjacent" is the length of the guy wire, x. Simplifying this equation, we get:

1 = 145 / x

Multiplying both sides by x, we get:

x = 145

Therefore, the length of the guy wire is approximately 145 feet to the nearest tenth.

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Answer:

D

Step-by-step explanation:

Front

5x4 = 20

Back

5x4 = 20

Top

5x8 = 40

Bottom

5x8 = 40

Right side

8x4 = 32

Left side

8x4 = 32

Add all the sides

20 + 20 + 40 + 40 + 32 +32 = 184

Answer:

1. -7

2. -1

3. 5

Step-by-step explanation:

Substitute the value given into the equation

Answer: range is (-4,0,28)

Step-by-step explanation:

Graph the line using the slope and the y-intercept, or the points.

The correct answers are:

The word "domain" is used with other related meanings in some areas of mathematics. In topology, a domain is a connected open set. In real and complex analysis, a domain is an open connected subset of a real or complex vector space.

The slope-intercept form is y =mx + b where m is the slope and b is the y-intercept:

→ y = mx + b

Find the values of m and b using the form y = mx + b:

m = 4

b = 12

Therefore, Graph the line using the slope and the y-intercept, or the points.

The correct answers are:

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The equivalent expressions of 45 + 2i are (13 + 4i) + (32 - 6i) and  (9 + 4i) + 2(4 + 7i)(1 - 2i)

From the question, we have the following parameters that can be used in our computation:

Complex number: 45 + 2i

Next, we test the options:

(13 + 4i) + (32 - 6i) = 13 + 4i + 32 - 6i

(13 + 4i) + (32 - 6i) = 45 - 2i --- true

(13 + 4i) + 2(7 + 2i)(2 -i) = (13 + 4i) + 2(14 - 7i + 4i - 2)

(13 + 4i) + 2(7 + 2i)(2 -i) = 13 + 4i + 28 - 14i + 8i - 4

(13 + 4i) + 2(7 + 2i)(2 -i) = 37 - 2i --- false

(2 + 8i) + (30 - 6i) = 2 + 8i + 30 - 6i

(2 + 8i) + (30 - 6i) = 32 + 2i--- false

(9 + 4i) + 2(4 + 7i)(1 - 2i) =  (9 + 4i) + 2(4  - 8i + 7i + 14)

(9 + 4i) + 2(4 + 7i)(1 - 2i) =  9 + 4i + 8  - 16i + 14i + 28

(9 + 4i) + 2(4 + 7i)(1 - 2i) =  45+ 2i --- true

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Inability to sleep properly for weeks  is a warning sign that someone needs the help of a mental health professional. Correct option is C.

Difficulty sleeping, or insomnia, can be a warning sign that someone needs the help of a mental health professional. Insomnia can be caused by a number of mental health conditions, such as anxiety, depression, or post-traumatic stress disorder (PTSD), as well as other factors such as stress, poor sleep habits, or physical health problems.

Feeling shy when asked to walk onstage and overeating to increase bodily strength may be signs of anxiety or other emotional or psychological issues, but they are not necessarily warning signs that someone needs the help of a mental health professional.

However, if these behaviors are causing significant distress or interfering with daily life, it may be a good idea to seek the help of a mental health professional.

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Answer:

To convert from kilometers per hour to miles per hour, we use the conversion factor of 1 mile per hour = 1.609 kilometers per hour.

So, 50 km/h = 50 x 1.609 mph = 80.45 mph

Rounding to one decimal place, the answer is 80.5 mph.

The typical speed limit in Europe is,

⇒ 833.3 miles per hour.

We have to given that,

A typical speed limit in Europe is, 50 km/h (kilometers per hour).

We can change the speed limit from kilometers per hour in miles per hour.

⇒ 50 kilometers per hour

⇒ 50 × 1000 / 60 miles per hour.

⇒ 50000 / 60  miles per hour.

⇒ 833.3 miles per hour.

Therefore, The typical speed limit in Europe is,

⇒ 833.3 miles per hour.

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Answer:

6

Step-by-step explanation:

(1.3 + 0.2) / 5 + 2.7

1) 1.3 + 0.2 = 1.5

2) 1.5 / 5 = 0.3

3) 0.3 + 2.7 = 6

Answer:

So, Darmal needs to work more than 8.96 hours to earn more than $128.

Step-by-step explanation:

The situation represented by the inequality 14.25x > 128 is B. Darmal earns $14.25 per hour at his job. How many hours does he need to work to earn more than $128?

The inequality states that the product of 14.25 and x (representing the number of hours worked) is greater than 128. Solving for x, we can find the number of hours Darmal needs to work to earn more than $128:

14.25x > 128

x > 128 / 14.25

x > 8.96

So, Darmal needs to work more than 8.96 hours to earn more than $128.