3:55 HELP ME PLZ Which expression is equivalent to 9 ( w + 8)? 72 w 9 w + 72 9 w + 8 17 w

Answer:

0 liters

Step-by-step explanation:

The first step in solving this problem is to find the volume of water that was originally in the tank when it was filled up to of its height. Since the tank is rectangular, we can use the formula for the volume of a rectangular prism:

Volume of tank = length x width x height = 100 cm x 80 cm x 30 cm = 240,000 cm³

Since the tank was filled up to of its height, the volume of water in the tank at this point is:

Volume of water in tank = 100 cm x 80 cm x 30 cm x 0.5 = 1,200,000 cm³

To find the amount of water that was poured into the tank to fill it up to 3 of its height, we need to subtract the volume of water that was originally in the tank from the total volume of water when it is 3 filled, which is 384 liters or 384,000 cm³ (since 1 liter = 1000 cm³):

Volume of water poured into tank = Volume of water when 3 filled - Volume of water in tank at of its height

= 384,000 cm³ - 1,200,000 cm³

= -816,000 cm³

Wait a minute, this result is negative, which means there was no water poured into the tank to reach the 3 filled level. In fact, it suggests that there was an excess of water that had to be removed from the tank to reach the desired level. This could be because the dimensions of the tank were not exact or because the tank was not level when filled to the first level.

Therefore, the answer to the problem is 0 liters or 0 cm³.

Note: It is important to always check the result of a calculation to ensure it makes sense in the context of the problem. In this case, the negative volume of water poured into the tank indicates that there may be an error in the problem statement or in the measurements provided.

Answer:

Step-by-step explanation:

(0,0)

i hope this helps

Answer:

221 cubic metre.

Step-by-step explanation:

Volume of water in tank (v) = π × {3}^{2} × 6

= 54π cubic metre

Volume of tank (v') = π × {5}^{2} × 11

= 275π cubic metre

More Water that can be fit in the tank = v' - v

=275π - 54π

= 221π cubic metre.

ANS.

The inverse of the function → f(x) = 2x + 5  is → f⁻¹(x) = (x/2) - (5/2).

Inverse of a function can be calculated by following the steps mentioned below -

According to the question, the equation given is as follows

y = f(x) = 2x + 5

y = 2x + 5

Replace 'y' with 'x', we get -

x = 2y + 5

Now, solve for y -

2y = x - 5

y = (x/2) - (5/2)

Replace 'y' with f⁻¹(x) -

f⁻¹(x) = (x/2) - (5/2)

Hence, the inverse of the function → f(x) = 2x + 5  is → f⁻¹(x) = (x/2) - (5/2).

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4.67 $/gal is the price of gasoline.

Step-by-step explanation:

Given:

Price of gasoline = 1.3 €/L

1 gallon is equals to 3.785 Liters

1 euros is equals to  0.9497 US dollars

To find:

The price of gasoline in US dollars per gallon

Solution:

Price of the gasoline = 1.3 €/L

\(1 gal = 3.785 L\\1L=\frac{1}{3.785} gal\\ 1.3 euro /L=\frac{1.3 euro }{\frac{1}{3.785 }gal}\\=\frac{1.3 euro \times 3.785 }{1 gal}=4.9205 euro /gal\)

Now convert euros to US dollars by using :

1 euros = 0.9497 $

The price of gasoline in US dollar per gallons:

\(4.9205 euro/gal=4.9205 \times 0.9497 \$/gal\\=4.6730 \$/gal\approx 4.67 \$/gal\)

4.67 $/gal is the price of gasoline.

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With regards to the function model then the true statement as per first and second derivatives is: (C) dw/dt = 1/100 W  (70 - W),

When, W = 10 then dw/dt = 6

When W = 35 then d²w/d²t = 0

where the point influx occurs, the weight of the carrying capacity is half

Therefore, 35 = a/2

Then the carrying capacity (a) = 35 x 2

a = 70

A function's sensitivity to change with respect to a change in its argument is measured by the derivative of a function of a real variable. Calculus's core tool is the derivative. It is a crucial idea that is incredibly helpful in a variety of contexts: in daily life, the derivative can inform you how fast you are driving or assist you in predicting stock market changes; in machine learning, derivatives are crucial for function optimization.

Therefore, with regards to the function model then the true statement as per first and second derivatives is: (C) dw/dt = 1/100 W  (70 - W), because the carrying capacity is 70 and the rate of change of the weight is 6 grams per hour when the weight is 10 grams.

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Answer:

Step-by-step explanation:

Correct choice is C

Answer:

\(x = 4.38\)

Step-by-step explanation:

Solve the equation:

\( - 3(x - 2)2 + 17 = 0x\)

Apply multiplicative distribution law:

\( - (3x - 6) \times 2 + 17 = 0\)

Apply muliplicative distribution law:

\( - 6x + 12 + 17 = 0\)

Rearrange unknown terms to the left side of the equation:

\( - 6x = - 12 - 17\)

Calculate the sum or difference:

\( - 6x = - 29\)

Divide both sides of the equation by the coefficienr of variable:

\(x = - 29 \div ( - 6)\)

Calculate:

\(x = \frac{29}{6} \)

Round the number:

\(x = \frac{29}{6} \\ 0.01\)

Round the number:

\(x = 4.38\)

Answer:

The money denominations that can be created for the $25 and $60 gift certificates are:

$5, $10, $20, and $50.

Step-by-step explanation:

To give the $25 gift certificate to a worker, the company will give either two of $10 plus one of $5 denominations or one of $20 plus one of $5 denominations.  These denominations will result in the same $25.

To give the $60 gift certificate to a worker, the company will either give one of $50 and one of $10 denominations, three of the $20 denominations, or six of the $10 denominations.  These denominations in their different combinations will result in the same $60.

The end-points of the line segment will be negative 1.25 and 0.25.

A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.

The length of the line segment is 1.50 units and the midpoint of the line segment is negative 0.50. Then the end-points of the line segment are given as,

⇒ - 0.50 ± (1.50) / 2

Simplify the expression, then we have

⇒ - 0.50 ± (1.50) / 2

⇒ - 0.50 - (1.50) / 2, - 0.50 + (1.50) / 2

⇒ - 0.50 - 0.75, - 0.50 + 0.75

⇒ - 1.25, 0.25

The end-points of the line fragment will be negative 1.25 and 0.25.

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Domain of the function represented by the graph of a quadratic function y = \(x^2\) – 4 with a minimum value at the point (0,-4) is all real numbers.

The correct answer is option D.

To determine the domain of the quadratic function y = \(x^2\) - 4, we need to consider the x-values for which the function is defined. Since a quadratic function is defined for all real numbers, the domain of this function is "all real numbers."

Let's analyze the given function and its graph to understand why the domain is "all real numbers."

The function y =  \(x^2\) - 4 represents a parabola that opens upward, which means it extends infinitely in both positive and negative x-directions. The vertex of the parabola is at the point (0, -4), indicating that the minimum value of the function occurs at x = 0.

Since there are no restrictions or limitations on the x-values for which the function is defined, the domain is unrestricted and encompasses all real numbers. In other words, the function can be evaluated and calculated for any real value of x, whether it is a negative number, zero, or a positive number.

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Answer: B, and A

Step-by-step explanation: A = 40 times 3 hrs = 120miles.

B = 4 mph times 3 hrs = 12miles.

Answer:

Step-by-step explanation:

the complex number and its conjugate

Answer:

(1+3i)(1-3i)

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

Equation are AA = 33+15tt and BB = 15+7tt. Tree A will remain taller than tree B till 2.25 years.

Size of Tree A in the beginning = 33 inches

Size of Tree B in the beginning = 15 inches

Increase in length of Tree A per year = 4 inches

Increase in length of Tree B per year = 7 inches

Let AA represent the height of Tree A tt years after being planted. Let BB represent the height of Tree B tt years after being planted.

Formulating the equation we get:

For tree A:

Height after tt years = Height in beginning + Increase each year*Number of years

AA = 33 + 15tt-----(1)

For tree B:

Height after tt years = Height in beginning + Increase each year*Number of years

BB = 15 + 7tt------(2)

Equating (1) and (2) we get:

33 + 15tt = 15 + 7tt

18 = -8tt

tt = 2.25 years

So, the trees will be of the same height in 2.25 years

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Answer:

--------------------------------------

Steps should be self-explanatory. Happy to explain if anything is not clear.

Answer:

Step-by-step explanation:

1) 4v + 7 = 7, for v?

→ 4v + 7 = 7

→ 4v = 7 - 7

→ v = 0/4

→ [ v = 0 ]

2) 3(u + 4) = 27, for u?

→ 3(u + 4) = 27

→ 3u + 12 = 27

→ 3u = 27 - 12

→ u = 15/3

→ [ u = 5 ]

3) -20 = 10(h + 5), for h?

→ -20 = 10(h + 5)

→ 10h + 50 = -20

→ 10h = -20 - 50

→ h = -70/10

→ [ h = -7 ]

4) -10 = (n - 52)/5, for n?

→ -10 = (n - 52)/5

→ n - 52 = -10 × 5

→ n = -50 + 52

→ [ n = 2 ]

5) (48/x) - 3 = 3, for x?

→ (48/x) - 3 = 3

→ 48/x = 3 + 3

→ 6x = 48

→ x = 48/6

→ [ x = 8 ]

6) 8r = 2r + 42, for r?

→ 8r = 2r + 42

→ 8r - 2r = 42

→ r = 42/6

→ [ r = 7 ]

These are required values.

The sets that is part of Set A are:

To be able to get the set A, a set need to have the same elements as {5, 7, 11, 13, 17, 19}.  So the set that has six number is one that can be the set A.

Hence:

The set {5, 7} exclusively comprises elements present in the initial set.

Any set contains the empty set within its subsets.

The set {17} consists of a single element that is present in the initial set.

The set {5, 7, 11, 13, 17, 19} is a subset of the original set as it encompasses all of its elements.

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See text below

Select all of the following sets that could be the set A if A ⊆⊆ {5, 7, 11, 13, 17, 19}.

{5, 7}

{}

{7, 8, 9}

{17}

{5, 7, 11, 13, 17, 19}

{4, 5, 6}

Answer:48 mm

Step-by-step explanation:

6 x 2 x 4= 48mm

Answer: 107,000

Step-by-step explanation:

the exponent is a positive 5, so move the decimal point 5 places right.

if exponent is negative, go the other direction

Given statement solution is :-  Box-and-whisker plot, the box represents the interquartile range (IQR), which is the range between Q1 and Q3 (13 to 18). The line inside the box represents the median (15). The whiskers (lines extending from the box) represent the minimum and maximum values (12 and 20).

To construct a box-and-whisker plot using the given data, you first need to find the minimum, maximum, median, and quartiles. Here are the steps to create the box-and-whisker plot for the given data set:

Sort the data in ascending order:

12, 12, 13, 14, 14, 15, 15, 15, 16, 16, 17, 18, 20

Find the median (middle value) of the data set. Since the data set has an odd number of values, the median will be the middle value:

Median = 15

Find the lower quartile (Q1), which is the median of the lower half of the data set.

Counting from the start, the lower half of the data set is:

12, 12, 13, 14, 14

Q1 = 13

Find the upper quartile (Q3), which is the median of the upper half of the data set.

Counting from the end, the upper half of the data set is:

17, 18, 20

Q3 = 18

Find the minimum and maximum values in the data set:

Minimum = 12

Maximum = 20

Now that we have the necessary values, we can construct the box-and-whisker plot:

lua

Copy code

       |                 |

 12  |      -------------|    

 13  |                 |

 14  |              ----  

 15  |           -------

 16  |      -------------|    

 17  |                 |

 18  |              ----  

 20  |                 |

       |_________________|

In this box-and-whisker plot, the box represents the interquartile range (IQR), which is the range between Q1 and Q3 (13 to 18). The line inside the box represents the median (15). The whiskers (lines extending from the box) represent the minimum and maximum values (12 and 20).

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Answer:

65

Step-by-step explanation:

using the ratio we can find the side lengths of the other triangle.

since it is 2:5

6:x=2:5

so x = 15(first side)

8:x=2:5

so x = 20(second side)

12:x=2:5

x=30(third side)

so then we add them up

15+20+30

65

hope this was helpful

Andre will pay $100 (before tax) for the bike.

According to its definition, a percentage is any number relative to 100. It is shown with the sign %. "Out of 100" is what the percentage means. Consider dividing any quantity or item into 100 identical bits.

If the bike is discounted by 20%, it means that Andre will pay only 80% of the original price.

So, the amount Andre will have to pay for the bike is:

80% of $125 = 0.80 x $125 = $<<0.80*125=100>>100

Therefore, Andre will pay $100 (before tax) for the bike.

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The expression that will represent the volume of the identical rectangular base pyramid is: 2[One-third (5) (0.25) (2)] cubic units.

To calculate for the volume of a rectangular base pyramid, we use the formula:

volume = 1/3 × area of base rectangle × height

volume of one identical pyramid = (1/3 × 5 × 0.5 × 2)cubic units

volume of the two identical pyramid = 2(1/3 × 5 × 0.5 × 2)cubic units.

Therefore, the expression that will represent the volume of the identical rectangular base pyramid is: 2[One-third (5) (0.25) (2)] cubic units.

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Based on the information given, the number of milligrams that will remain after 59 hours will be 13.125 milligrams.

Since after 40 hours, 25 mg of the substance has been removed, therefore, the rate per hour will be:

= 25/40 = 0.625.

The amount that will be removed in 59 hours will be:

= 59 × 0.625 = 36.875

The number of milligrams that will remain will be:

= 50 - 36.875 = 13.125 milligrams

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Answer:

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Step-by-step explanation:Please help me important question in image

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Answer:

The equation a=0.003x^2+21.3 models the average ages of women when they first married since the year 1940 in the United States. In this equation, a represents the average age and x represents the years since 1940. To estimate the year in which the average age of brides was the youngest, we need to find the minimum value of the quadratic function a=0.003x^2+21.3. This can be done by using the formula x=-b/2a, where b is the coefficient of x and a is the coefficient of x^2. In this case, b=0 and a=0.003, so x=-0/(2*0.003)=0. This means that the average age of brides was the lowest when x=0, which corresponds to the year 1940. The value of a when x=0 is a=0.003*0^2+21.3=21.3, so the average age of brides in 1940 was 21.3 years old. This is consistent with the historical data, which shows that the median age of women at their first wedding in 1940 was 21.5 years old. The average age of brides has been increasing since then, reaching 28.6 years old in 2021.

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The coordinates of the intersection of the diagonals of abcd with the given vertices are (0,2).

The equation of diagonal AC is the equation of the line joining

(−4,6) and (4,−2)

Using the two point formula of a line, we have

           (y−6) / (x+4) = 6−(−2) / (−4−4)

                       x + y = 2

The equation of diagonal BD is the equation of the line joining

(5,6) and (−5,−2)

Using the two point formula of a line, we have

           (y−6) / (x−5) = 6−(−2) /  5−(−5)

                           5y = 4x+10

Multiply equation x + y = 10 by 5 to get 5x+5y=10

Replace 5y=4x+46 using 5x+5y=10

        5x + (4x+10) = 10

        5x + 4x +1 0 = 10

           9x + 10 = 10

               9x=0

                 x=0

Substitute x=0 in eqn(1), To get 0+y=2

                                                         y=2

The point of intersection of the diagonals of the given quadrilateral is (0,2)

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Answer:

20 salads

Step-by-step explanation:

25% = 5

55%+20%=75%

75%=15

15+5=20

Answer:

20 salads

Step-by-step explanation:

25/5 = 5

55/5 = 11

20/5 = 4

5+11+4= 20 salads

9514 1404 393

Answer:

  $794.30

Step-by-step explanation:

The account balance for principal P invested at rate r compounded daily for t years is ...

  A = P(1 +r/365)^(365t)

We have P=$9538, r=0.08, t=1, and we want the value of P-A, the interest earned.

  P-A = P(1 +0.08/365)^365 -1) = $9538(1.08327757 -1) ≈ $794.30

The interest earned in one year is $794.30.

Answer:-12y -7

Step-by-step explanation: I think

Answer:

-12y - 7

Step-by-step explanation:

x = -2y

6x - 7 or 6(-2y) - 7

-12y - 7

Check the picture below.

Answer:

5,280 * 8 = 42,240

42,240 feet

42,240 * 12 = 506,880

506,880 inches

Step-by-step explanation: