Which expression is the simplest form of 3(2x + y) + 4(x - 4y) + x2?

Answer:1.01

Step-by-step explanation:

The expression 146 ÷ 144 equals 1.0138. This result is obtained by dividing 146 by 144.

The expression 146 ÷ 144 equals 1.0138 when rounded to four decimal places. The calculation involves the division of two numbers, in this case, 146 divided by 144. To perform this calculation, you simply take the first number, 146, and divide it by the second number, 144, which gives you 1.0138.

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Step-by-step explanation: The place value chart can help us write a number in expanded notation. When we put 2,930,365 into the place value chart, we can recognize that our number is equal to 2 millions + 9 hundred thousands + 3 ten thousands + 0 thousands + 3 hundreds + 6 tens + 5 units.

The place value chart is attached in the image provided.

Answer:

Step-by-step explanation:

Answer:

97

Step-by-step explanation:

Equation:

51+23x, where x = the number up hours

so 51+23(2)=97

51+46=97

Slope = 2/1

The work is provided in the image attached.

Answer:

9(x+5)=9(5+x)

Step-by-step explanation:

This is tricky because you were probably thrown off by the multiplication step from the parentheses. Since the question wants you to demonstrate your knowledge of the commutative property of addition, you will only worry about inside the parentheses.

So, the commutative property is basically just moving numbers/variables around the addition sign to show that the answer will remain the same either way.

Because of this, we can simply move the (x+5) around to (5+x).

Final answer: 9(x+5)=9(5+x)

Answer:

12,9,6

Step-by-step explanation:

12=23 3/20. 9=19 4/5. 6=16 5/8.

The infant's weight was gain the greatest during (0 - 3 Months) three-month period.

A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other

The weight gain during (0 - 3 Months) three-month period

⇒ 12 1/2 - 7 1/4 = 25/2 -29/4 = 12.5-7.25 = 5.25 lb

The weight gain during (3 - 6 Months) three-month period

⇒ 16 5/8 - 12 1/2 = 16.625 - 12.5 = 4.125 lb

The weight gain during (6 - 9 Months) three-month period

⇒ 19 4/5 - 16 5/8 = 19.8 - 16.625 = 3.175 lb

The weight gain during (9 - 12 Months) three-month period

⇒ 23 3/20 - 19 4/5 = 23.15 - 19.8 = 3.35 lb

Therefore, the infant's weight was gain the greatest during (0 - 3 Months) three-month period.

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Answer:

yes

Step-by-step explanation:

equivalent sets have the same number of members

Sets A and B are not equivalent, have the same cardinality but no common elements in their intersection.

The sets A and B are not equivalent because they have different members.

The cardinality of set A is 4, and the cardinality of set B is also 4, meaning they have the same number of elements.

The intersection of sets A and B is the empty set, as they have no common elements.

Answer:

a) 35%

b) 19 minutes

Step-by-step explanation:

The graph for this question is attached in the image below.

Part a) Percent of calls that lasted 30 minutes or  more

As seen in the graph, the x-axis represent the duration of the call in minutes and y-axis represent the cumulative frequency of the calls.

From the graph we can see that the cumulative frequency against the point 30 minutes is about 65%. This means, 65% of the calls lasted for less than 30 minutes.

Since, out of 100%, 65% of the calls lasted for less than 30 minutes, the percentage of call that lasted for 30% or more would be:

100% - 65% = 35%

This means, 35% of calls lasted 30 minutes or  more.

Part b) The interquartile range (IQR) of the  distribution.

Interquartile range is defined as the difference of the 3rd Quartile and the 1st Quartile.

3rd Quartile is the point, below which 75% of the data values are present.

1st Quartile is the point, below which 25% of the data values are present.

So, from the cumulative frequency graph we have to look for the values on time axis against the cumulative frequency of 25% and 75%.

The amount of time against 25% cumulative frequency is approximately 13 minutes.

So, 1st Quartile = 13 minutes

The amount of time against 75% cumulative frequency is approximately 32 minutes.

So, 3rd Quartile = 32 minutes

Therefore,

IQR = 3rd Quartile - 1st Quartile

IQR = 32 - 13

IQR = 19 minutes

The interquartile range (IQR) of the  distribution is 19 minutes.

Answer:

A,B,E,AND F

Step-by-step explanation:

HOPE THIS HELPS

To solve for F in the conversion formula, subtract 273.15, multiply by ([tex]\frac{5}{9}[/tex]), and add 32. The freezing point of water in Fahrenheit is 32 °F. Liquid nitrogen is colder than dry ice.

Solving the Temperature Conversion Formula

To solve the formula K = [tex]\frac{9}{5}[/tex][F-32] + 273.15 for F (Fahrenheit), we will isolate F in the equation. Here is the step-by-step process:

Subtract 273.15 from both sides: K - 273.15 = [tex]\frac{9}{5}[/tex][F - 32]

Multiply both sides by [tex]\frac{5}{9}[/tex] to get: F - 32 = (K - 273.15) × [tex]\frac{5}{9}[/tex]

Add 32 to both sides to solve for F: F = (K - 273.15) × [tex]\frac{5}{9}[/tex] + 32

Converting Kelvin to Fahrenheit

The freezing point of water is 273.15 Kelvin. To find this temperature in Fahrenheit:

F = (273.15 - 273.15) × [tex]\frac{5}{9}[/tex] + 32 = 32 °F

Comparing Temperatures

Dry ice has a temperature of -78°C, which is equivalent to -108.4°F. Liquid nitrogen boils at 77 K, which is about -196°C or -320.8°F. Therefore, liquid nitrogen is colder than dry ice.

[tex]\((f \cdot g)(x) = 2x^3 + 8x^2 - 2x - 20 \)[/tex].

To find [tex]\((f \cdot g)(x)\)[/tex], you need to multiply the functions \(f(x)\) and \(g(x)\).

Given:
[tex]\[ f(x) = x^2 + 2x - 5 \]\[ g(x) = 2x + 4 \]To find \( (f \cdot g)(x) \), multiply \( f(x) \) and \( g(x) \):\[ (f \cdot g)(x) = f(x) \cdot g(x) \]\[ (f \cdot g)(x) = (x^2 + 2x - 5) \cdot (2x + 4) \][/tex]

Now, use the distributive property to expand the expression:

[tex]\[ (f \cdot g)(x) = 2x^3 + 4x^2 + 4x^2 + 8x - 10x - 20 \]\[ (f \cdot g)(x) = 2x^3 + 8x^2 - 2x - 20 \][/tex]

So, [tex]\((f \cdot g)(x) = 2x^3 + 8x^2 - 2x - 20 \)[/tex].

The cost of the wings in dollars per wing would be $1.25.

To find this, all you need to do is divide the $15 by your amount of chicken wings, which is 12. 15/12 = 1.25.

Answer:

1.25

Step-by-step explanation:

each wings costs 1 $ and 25 cents

Answer:

f(x) is greater.

Step-by-step explanation:

if you replace the x on f(x)=3x+1 with the 3 for x=3 its 3×3+1. 3 times three is 9 plus 9 with one is 10, and the line hits 6.9

The  function that has a greater value when x = 3 is option A: f(x) is greater.

The function [tex]\(f(x) = 3x + 1\)[/tex] is a linear function with a slope of 3 and a y-intercept of 1. The function[tex]\(g(x)\)[/tex] is not explicitly provided in your question, so we don't have information about its slope or intercept.

To determine which function has a greater value when x = , we need to evaluate both functions at x = 3 and compare their values.

So, when one replace the x on f(x)=3x+1 with the 3 for x=3 its 3×3+1. 3 times three is 9 plus 9 with one is 10, and the line hits 6.9

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Answer:

i think it is the last one

Step-by-step explanation:

Check your answer if unsure

Answer:

3 3/4

Step-by-step explanation:

5×[tex]\frac{3}{4}[/tex]

5      3

/   ×  /

1       4

= 15/4

=3 3/4

Answer:

To figure out the value of a variable you plug it into an equation solve for it using the equation around it.

Answer:

Step-by-step explanation:

Solve for the unknown variable(number) by moving everything to the other side of the equation.

Final answer:

Geometry unit 1 lesson 1 typically covers basic understandings, vocabulary, and objectives related to geometry, such as points, lines, angles, and shapes.

Explanation:

In geometry, unit 1 lesson 1 typically covers basic understandings, vocabulary, and objectives related to geometry. Students learn about concepts such as points, lines, angles, and shapes. They also explore properties and relationships between geometric figures.

For example, students might learn that a point represents a specific location in space, a line is a straight path with no endpoints, and an angle is formed by two rays with a common endpoint.

By studying geometry, students develop spatial reasoning skills and learn to apply geometric principles in problem-solving situations.

Answer:

86

Step-by-step explanation:

since the slot is 130 cm thick you divide that by the thickness of the candy bar 130/1.5 and then you get 86.6666666.....which rounds to 86 because the slot is not thick enough for another candy bar. good luck on whatever you needed this for!

Answer:

Step-by-step explanation:

Price per ml of  80ml bottle= 0.68

price per ml of 50 ml bottle= 0.9

therefore two 50ml bottles is a better deal.

Answer: 2

Step-by-step explanation:

First, set up a proportion based on the amount of square meters over the number of cloaks he can make:

21/6 = 7/x

Cross multiply to get your next proportion and result with this:

21x = 42

Divide both sides by 21 (always divide the side with the variable):

21x/21 = 42/21

Cancel out the 21 (it's being divided by 21 so that makes it equivalent to 1 so you wind up with just x)

x = 2

Answer: 2

Step-by-step explanation:

Given : Harry needs 21 square meters of fabric for every 6 wizard cloaks he makes.

Using Unitary method , The number of cloaks can be made in 1 square meter fabric will be :-

[tex]6\div21=\dfrac{6}{21}=\dfrac{2}{7}[/tex]

Now , the number of cloaks made in 7 square meters of fabric will be :-

[tex]\dfrac{2}{7}\times7=2[/tex]

Hence, the number of cloaks made in 7 square meters of fabric =2

Answer:

y = 17

Step-by-step explanation:

-y = 17

y = -17

Answer:3

Step-by-step explanation:

10-7=3

Step-by-step explanation:

Answer:

Rectangle

Step-by-step explanation:

The lengths are congruent and the widths are congruent.

Answer: Rectangle (4 sided polygon)

Step-by-step explanation:

The length and breadth in both triangles are equal which can also be said to be congruent. Adding the two triangles since they are both equal would result in a rectangular polygon (Rectangle)

Answer: A rectangles angles are always equal.

Step-by-step explanation:

Suppose you have a rectangle, four sides, two pairs of parallel lines. in order to be a rectangle, the quadrilateral has to have equal angles, similar to a square, if they didn't, they could be a trapezoid, which is not a rectangle, because it only has one pair of parallel lines.

Hope this helps!

Answer:

They are always equal

Step-by-step explanation:

Because they all have equal sides they can be measured to confirm that the sides are equal.

Answer:13.125

Step-by-step explanation: divide 210 by 16

Answer:

8 - 5 = m(5 - 0)

Hope that helps you! :)

Answer:

[tex]y=2\cos(2x+\frac{1}{4})-2[/tex]

or

[tex]y=-2\cos(2x+\frac{1}{4})-2[/tex]

Step-by-step explanation:

[tex]y=a cos(c(x-b))+d[/tex] has:

1) amplitude=|a|

2) phase shift=b

3) period=2pi/c

d) vertical shift=d

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

You are given the amplitude is 2. This means a could either be 2 or -2.

You are given phase shift is -1/8. This means b is -1/8.

You are given the period is pi. So we need to solve pi=2pi/c.

pi=2pi/c

Dividing both sides by pi gives:

1=2/c

Multiply both sides by c gives:

c=2

The vertical shift is -2 so d=-2.

The equation could either be:

y=2cos(2(x-(-1/8)))-2

or

y=-2cos(2(x-(-1/8)))-2

Simplifying a little gives:

y=2cos(2x+1/4)-2

y=-2cos(2x+1/4)-2

Answer:

Step-by-step explanation:

7(3,649)

=7(3,000+600+40+9)

=(7*3,000)+(7*600)+(7*40)+(7*9)

=21,000+4,200+280+63

=25,480+63

=25,543