Which equation represents twenty-nine is one-third of the number n?

Answers

Answer 1

Answer:

29=n/3

Step-by-step explanation:

Answer 2

Answer:

29 = n/3

Step-by-step explanation:

[tex]29 = \frac{1}{3} of \: n \\ 29 = \frac{1}{3} \times n \\ 29 = \frac{n}{3} [/tex]


Related Questions

m/STM = 31x - 3
m/MTU = 20x + 5
m/STU = 155 degrees
Find m/MTU.

Answers

The Angle ∠MTU from the figure is 65°

What are Angles?

The study of shapes and their measurements falls under the umbrella of geometry, a subfield of mathematics. It also emphasizes how the shapes are arranged in relation to one another and their spatial characteristics. We are aware that geometry is divided into 2D and 3D categories. All geometrical shapes are first created by the intersection of points, lines, rays, and plane surfaces. The distance measured between two lines is referred to as a "Angle" when the rays or lines converge at a single point.

Calculation:

Given,

STM=31X-3;

MTU=20X+5;

STU=155°;

From the figure we can say that

STU= STM+MTU;

⇒ 155=31x-3+20x+5;

⇒155=51x+2;

⇒x=3;

Now substitute x in MTU;

MTU=20(3)+5=65°

The Angle ∠MTU from the figure is 65°

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Solve the equation for z.
6 = 8x

Answers

Answer:

Step-by-step explanation:

if you were to integrate around the curve in the opposite direction, what would be the value of the line integral?

Answers

both directions can be chosen as positive in this example. The right-hand rule solves these ambiguities. The resultant remains the same at 3.2 *10^4 Tm

It is possible for the line integral to go around the loop in either direction (clockwise or counterclockwise), the vector area dS to point in either of the two normal directions and Ienc, which is the net current passing through the surface S, to be positive in either direction—but both directions can be chosen as positive in this example. The right-hand rule solves these ambiguities.

The resultant remains the same at 3.2 *10^4 Tm

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1 2/5m - 3/5 ( 2/5m + 1 ) I tried -3/5 it is wrong simplify pls

Answers

Refer to the photo taken.

Answer:

[tex] \sf \: \frac{29m - 15}{25} \: (or)1 \frac{4}{25}m - \frac{3}{5} [/tex]

Step-by-step explanation:

Given expression,

→ 1 2/5m - 3/5(2/5m + 1)

Simplifying the given expression,

→ 1 2/5m - 3/5(2/5m + 1)

→ (7/5)m - 3/5(2/5m + 1)

→ (7/5)m - (6/25)m - (3/5)

→ (35/25)m - (6/25)m - (3/5)

→ ((35 - 6)/25)m - (3/5)

→ (29/25)m - (3/5)

(29m - 15)/25

→ 1 4/25m - (3/5)

Hence, answer is 1 4/25m - (3/5).

Use Descartes' Rule of Signs to identify the number of positive real roots and negative real roots for the polynomial function.
P(x)=xthree+5x2-3x+7 PLS HELP ME ILL MARK YOU BRAINLIEST 20 POINTS

Answers

Answer:

the number of positive real roots is one

the number of negative real roots is one

I not sure I was right

Step-by-step explanation:

[tex]x^{3} +5x^{2} -3x+7[/tex]

it changed the sign in the second to the third term,so,it was one root

[tex]-x^{3} +5x^{2} +3x+7[/tex]

Change the coefficients of odd items, and the signs of the first to second items change, so there is also a root.

Answer:

Maximum of 2 positive real rootsExactly 1 negative real root

Step-by-step explanation:

Descartes' Rule of Signs tells us the maximum number of positive and negative real roots in a polynomial function.

Positive root case

[tex]\begin{aligned}p(x)&=(x)^3+5(x)^2-3(x)+7\\ &=+x^3+5x^2-3x+7\end{aligned}[/tex]

Check the signs of the coefficients. As there are 2 sign changes, the maximum possible number of positive roots is 2.

However, as some pairs of roots may be complex, count down by two's to find the complete list of the possible number of roots.

So there may be as many as 2 real roots or there might also be no real roots (zero).

Negative root case

[tex]\begin{aligned}p(-x)&=(-x)^3+5(-x)^2-3(-x)+7\\&=-x^3+5x^2+3x+7\end{aligned}[/tex]

Check the signs of the coefficients.  As there is one sign change, the maximum possible number of negative roots is 1.  We can't count down by two's since this would give us a negative number. Therefore, there is exactly 1 negative root.

Note:  There is one real negative root of the given function at x ≈ -5.74 and two complex roots at x = 0.37 + 1.04i  and  x = 0.37 - 1.04i.

help please, show steps to the question

Answers

The interest rate for Rebeka's account is 5%.

What is the meaning of interest rate?

The amount that the lender charges the borrower over and beyond the principal amount is referred to as the interest rate. A person who deposits money in a bank or other financial institution also earns additional income in terms of the recipient, known as interest, taking into account the time value of money.

Given that, Rebeka deposits $1500. She earn $131.25 as interest after 21 months.

The formula of simple interest is

I = PRT

I = interest

P = Principal

R = Rate of interest

T = time

In the given question,

P = $1500

I = $131.25

T = 21 months = 21/12 years.

Putting P = $1500, I = $131.25, T = 21/12 years in I = PRT:

131.25 = 1500 × R × (21/12)

Divide both sides by 1500 × (21/12):

R = 131.25 /[1500 × (21/12)]

R = [131.25 × 12] /[1500 × 21]

R = 0.05

R = 5%

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What fraction has the same value as 55.5%

Answers

Answer:

55.5 as a fraction is 111/2.

Answer: 55.5 as a fraction is 111/2.

Step-by-step explanation:

2. Which of the following illustrates how to find the difference of 4h5k and -7hk5?
(4+7) h5k5
Not possible.
(4+7) h5-1¹-5
(4-7)hok

Answers

The difference of 4h5k and -7hk5 Not possible.

What is the explanation?

Which of the following provides an example of to calculate the difference between 4h5k and -7h5k

Subtraction statement is the minuend. The second number in the subtraction statement is called "subtrahend," and the difference between the two numbers is what we obtain as a consequence.

Changing the situation 4h^5k - (-7hk^5)= 4h^5k +7hk^5

Making the distinction

4h^5k - (-7hk^5)

= 4h^5k +7hk^5

assemble similar phrases

Take note of similar phrases is  hk(4h^4+7k^5)

There can be no difference, therefore.

= hk(4h^4+7k^5)

As a result, the difference is Not possible.

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Poinsettias are native to Mexico there are 25,209 poinsettia flowers to the processions path what is the number rounded to the largest place value

Answers

The number 25209 rounded to the largest place value is 30000.

What is a place value?

Every digit in a number has a place value, which is a numerical value determined by the digit's position.

Step 1: First, decide which location value has the highest worth.

The number that is farthest to the left has the highest place value.

Providing the value is not zero.

In the number 25209,

2 is the largest place value.

Step 2: Next, take a look at the number that is closest to the largest place value.

The greatest place value remains the same if the number is 0, 1, 2, 3, or 4.

The highest place value increases by one if the number to the right is a 5, 6, 7, or 9.

We have number 5 to the right of 2.

The number rounded to the largest place value is 30000.

Therefore, the required number is 30000.

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You randomly chooe one of the chip. Without replacing the firt chip, you chooe a econd chip. Which quetion i different?

Answers

The probability is 0.07777.

What does probability mean?

The number of desired outcomes divided by the total number of outcomes yields a probability.

We are attempting to determine the likelihood, out of 10, that the first chip will be white and the second won't be green while assuming that one chip is white and two are green.

1/10 of the time, the initial chip will be white. If the first chip is white, there is a 7/9 chance that the second chip will be a color other than green. The desired probability is therefore provided by:

Ten chips are present.

white 1

red 4

green 2

Blue 3

the likelihood of selecting the W chip is one in ten, or 0.10

There are now only 9 chips left (the first chip was not replaced)

Selecting a non-green chip has a probability of (9-2)/9 = 7/9 = 0.7777.

you multiply the two probabilities to obtain the overall probability at this point.

probability is 0.1 to 0.7776.

The probability is equal to 0.07777, which implies that it must be less than 0.1.

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Nathan is going to drive from his house to City A without stopping. Let D represent
Nathan's distance from City At hours after leaving his house. A graph of D is shown
below. Write an equation for D then state the slope of the graph and determine its
interpretation in the context of the problem.

Answers

The linear function for D is defined as follows:

D(t) = -35t + 280.

The slope of 35 means that Nathan is traveling at a velocity of 35 miles/km per hour.

How to define the linear function?

The linear function for this problem is defined in slope-intercept format, as follows:

y = mx + b.

The coefficients of the function are given as follows:

m is the slope, representing the rate of change of the output variable y relative to the input variable x.b is the y-intercept, representing the initial value of the output variable y.

From the table, two points are given as follows:

(3, 175) and (5,105).


Given two points, the slope is calculated as the change in y divided by the change in x, hence:

m = (105 - 175)/(5 - 3) = -35.

This slope represents that Nathan is traveling at a velocity of 35 miles/km per hour.

Hence:

D(t) = -35t + b

When x = 3, y = 175, hence the intercept b is obtained as follows:

175 = -35(3) + b

b = 280.

Thus the function is of:

D(t) = -35t + 280.

Missing Information

The table is given by the image shown at the end of the answer.

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Graph the points (0.5,4.5) and (-0.5,-4.5)

Answers

Answer:

Step-by-step explanation:

To graph the points (0.5, 4.5) and (-0.5, -4.5) on a coordinate plane, you can use a ruler or a graph paper to plot the points.

To plot the point (0.5, 4.5), start by drawing the horizontal and vertical axes of the coordinate plane. The horizontal axis, or the x-axis, is the line that runs horizontally across the plane, and the vertical axis, or the y-axis, is the line that runs vertically. The intersection of the two axes is called the origin.

Next, locate the point (0.5, 4.5) on the coordinate plane. To do this, find the point that is 0.5 units to the right of the y-axis and 4.5 units above the x-axis. This point is the point (0.5, 4.5).

To plot the point (-0.5, -4.5), locate the point that is 0.5 units to the left of the y-axis and 4.5 units below the x-axis. This point is the point (-0.5, -4.5).

The resulting graph should look like this:

  |

4.5|       * (0.5, 4.5)

  |

  |

  |

  |

0.5|       * (-0.5, -4.5)

  |

  |

  |

 -4.5

 -4.5 -2.5 -0.5  0.5  2.5  4.5

         -0.5

Let f and g be the functions defined by f(x) = 1 + x + e^x^2 - 2x and g(x) = x^4 - 6.5x^2 + 6x + 2. There are two regions on the interval 0 x 2 which are enclosed / and g.

Answers

For given functions f and g, the sum of the areas of the enclosed regions is 2.004 sq. units. and the sum of the volumes of the enclosed regions is 1.283 cubic units

In this question we have been given two functions f and g defined by

f(x) = 1 + x + e^x^2 - 2x and g(x) = x^4 - 6.5x^2 + 6x + 2.

There are two regions on the interval 0 x 2 which are enclosed / and g. We need to find the sum of the areas of the enclosed regions and the sum of the volumes of the enclosed regions.

The graph of functions is as shown below.

We can observe that the graphs of y = f(x) and y = g(x) intersect in the first quadrant at the points (0, 2), (2, 4), and (A, B) = (1.032832, 2.401108).

The sum of the areas of the enclosed regions is given by

A = ∫[0-A] (g(x) - f(x)) dx + ∫[A - 2] (f(x) - g(x)) dx

A = 0.997427 +1.006919

A = 2.004

And the sum of the volumes of the enclosed regions is given by

Volume V =∫[0-4]  [[ƒ(x) − g(x)]² dx

V = ∫[0-4] [1 + x + e^x^2 - 2x - x^4 + 6.5x^2 - 6x - 2]^2 dx

V = 1.283

Therefore,  the sum of the areas of the enclosed regions is 2.004 sq. units. and the sum of the volumes of the enclosed regions is 1.283 cubic units

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Which statement best explains
why the sum of the areas of the
two white squares in Figure 2 is
the same as the area of the white
Q
square in Figure 1?
Figure
Figure 2
The combined area of the four triangles is equal to the area of the large white
square.
In each triangle, the length of side a plus the length of side b equals the length
of side c. That means that a2 + b2 = c?.
In each figure the total area is equal and the area of the triangles is equal, se
the remaining white area in each figure must also De equal.

Answers

Answer:

This because the root cancel each other

a new car is purchased for 26,600 dollars. the value of the car depreciates at a rate of 9% per year. which equation represents the value of the car after 3 years?

Answers

After 3 years, the value of the car will be approximately $20,959.34.

The depreciation of an asset is the reduction in the value of the asset over time due to wear and tear, obsolescence, or other factors. The depreciation equation is used to calculate the amount by which the value of an asset decreases each year.

The value of the car after 3 years can be represented by the following equation:

V = 26600 * (1 - 0.09)^3

Where V is the value of the car after 3 years and 0.09 is the depreciation rate per year.

Solving this equation gives us a value of V = $20,959.34.

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Answer:20044.9886

Step-by-step explanation:

Amy wants to save 500 to buy a TV. She saves each week. The amount, A (in dollars), that she still needs after W weeks is given by the following function . A(W)=500-19W Answer the following questions. (a) If Amy still needs 177 , how many weeks has she been saving?

Answers

Answer:

A(W)=500-19W

177W = 500 - 19W

177W + 19W = 500

196W = 500

W = 2.5

Therefore, Amny needs to save for 2.5 weeks

Step-by-step explanation:

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Tell whether a correlation is likely for the number
of car accidents and the weather. If so, tell whether
there is a causal relationship. Explain your
reasoning.

Answers

There is a correlation that is likely for the number of car accidents and the weather as wet pavement and rainfall leads to more accidents.

What is correlation?

The size and direction of a relationship between two or more variables are described by the statistical measure of correlation, which is expressed as a number. However, a correlation between two variables does not necessarily imply that a change in one variable is the reason for a change in the values of the other.

Weather-related issues will have an impact on our roads and reduce tire traction. Once more, it is advised to slow down while driving on slick roads, increase our following distance, and take more time to slow down when coming to a stop.

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Haley B. Workin did eight chores in the morning. She did 40% of her daily
chores in the morning. How many daily chores does she have?

Answers

Answer:

  20

Step-by-step explanation:

You want to know how many daily chores Haley has if 40% of them are 8 chores.

Chores

Let c represent the number of daily chores. The number of chores accomplished in the morning was ...

  0.40c = 8

Dividing by 0.40, we find ...

  c = 20

Haley has 20 daily chores.

I need help on this Math. You have to find the y-intercept, then put it he y-intercept in coordinate form, and the slope. It was due so long ago. I don't know what to do.

Answers

Answer:

Y-Intercept is equal to 100

Y-Intercept in Coordinate for is (0,100)

You buy the following from Amazon:
25 flash drives for $10 each
What is the Subtotal: $
Today only they are 25% off, how much do you save: $
What is the new Subtotal: $
Sales tax is 4%: $
What is the total: $
(For all numbers, put in the change. If there is no change, make sure you put .00. For example, if the amount was 27, make sure you put 27.00.
If there is no number in the pennies place, make sure you put a 0. For example, if your amount was 5.4, make sure you put 5.40)

Answers

The Subtotal for 25 flash drives is $250.00. You can save $62.50. The new Subtotal becomes $187.50. Sales tax of 4% will equal $7.50. The Total for the 25 flash drives will be $187.50 + $7.50 which gives $195.00

To find the solution, we must solve for the questions individually;

The Subtotal is 25 x $10 = $250.00

You save = 25% of $250

which is 25/100 x 250 = $62.50

The new Subtotal = $187.50

Sales tax of 4% = 4% of $187.50

which gives 4/100 x 187.5 = $7.50

The Total for the 25 flash drives will be $187.50 + $7.50 = $195.00

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the probability of an archer hitting her target is 83%. suppose she has 20 shots to take, and each shot is independent of the others. let x represent the number of targets hit. what is the mean of x?

Answers

the probability of an archer hitting her target is 83%.The mean of x is 16.6 (16.6 targets hit).

The probability of the archer hitting her target is 83%. This means that for each shot she takes, the probability of her hitting her target is 0.83. Since she has 20 shots to take, the expected number of targets hit is 20 x 0.83, which is 16.6.

The mean of x, which is the number of targets hit, is therefore 16.6. This can be calculated by taking the probability of success (0.83) multiplied by the number of trials (20), which gives the expected value of 16.6.

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How do I find the area? I don’t know which one is the base or height.

Answers

Answer:

1

Step-by-step explanation:

the height is 2/3ft because it makes a right angle with the surface

base is 3 ft

area: 1/2 x 3 x 2/3 = 1 ft^2

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If AC is 15, what is BC?
A
O A. 15
OB. 13
O C. 3
OD. 2
4x+1
2x-4

Answers

Option D is correct that is BC = 2

What is a line?

A line is a perfectly straight, one-dimensional shape that is endlessly long and thin in both directions.

She tells us that AC is 15, and we may deduce that AC equals AB plus BC from the figure.

AC Equals AB plus BC.

AB=4X+1, BC=2X-4, and AC=15

15 = 4X +1 + 2X- 4

15 = 6X - 3

18 = 6X

X = 3

We now know that 2X - 4

2(3) - 4 = 2 since we have X = 3.

BC = 2.

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I need help at math

Answers

Answer:

I) 70°

II) 120°

Step-by-step explanation:

In a regular polygon the sum of all its internal angles is equal to

180° × (n – 2)

where:

n = number of sides of the polygon

Which statement describes the domain and range of the exponential function f(x) = – 4x?

A.The domain and range are both the set of all real numbers.
B.The domain is the set of all real numbers and the range is the set of all negative real numbers.
C.The domain is the set of all real numbers and the range is the set of all real numbers less than or equal to –4.
D.The domain is the set of all real numbers greater than 0 and the range is the set of all real numbers less than 0.

Answers

The statement describes the domain and range of the exponential function f(x) = – 4ˣ is

A.The domain and range are both the set of all real numbers.

What is range in graph ?

The y-axis on a graph represents the possible output values, or range.

while the domain is the input values.

The domain of the exponential function f(x) = – 4ˣ is set of all real numbers

The range considering the domain is also set of all real numbers since it can be positive or negative depending on the value of the domain

It is worthy to note that the domain and range of the graph may be larger than the values seen if the graph extends beyond the area that is visible.

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Give the values of b, h, and k for the function

Answers

The value of b = 5 , h = -4 and k = -1 for the function f(x) = [tex]log_{5}[/tex](x - 4) - 1

What is a function ?

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable).

A relationship between a group of inputs and one output each is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function.

An input is connected to an output by a function. It resembles a device with an input and an output. In addition, the output is somehow connected to the input. The standard way to write a function is f(x) "f(x) =... "

Translated of logarithmic function:

f(x) =  [tex]log_{b}[/tex] (x + h) + k

where b is base, h - horizontal shift, k - vertical shift

According to given function the values are:

b = 5, h = - 4, k = - 1

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Solve this system of equations by graphing. First graph the equations, and then type the solution.

Answers

Answer:

(6,0)

Step-by-step explanation:

Solving a system of equations is finding where 2 (or more) lines intersect.

Graph the lines:

y = x/6 - 1

and

y = -2/3x + 4

(linked)

Look at where they intersect (meet).

(6,0)

if the nth term of a number sequence is n^2+1 find the first three terms and the tenth term

Answers

Answer: The first three terms of the sequence are: 1^2+1=2, 2^2+1=5, 3^2+1=10

The tenth term of the sequence is: 10^2+1=101.

Step-by-step explanation: To find the first three terms of a number sequence in which the nth term is n^2+1:

For the first term, set n equal to 1 and substitute it into the formula: 1^2 + 1 = 2

For the second term, set n equal to 2 and substitute it into the formula: 2^2 + 1 = 5

For the third term, set n equal to 3 and substitute it into the formula: 3^2 + 1 = 10

To find the tenth term of the same sequence, set n equal to 10 and substitute it into the formula: 10^2 + 1 = 101.

Suppose that ΔFAR is similar to ΔSUN. Part A: Identify the corresponding angles.

Answers

Angle F is correspond to angle S. Angle A is congruent to angle U

and Angle R is congruent to angle N.

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion

Given that ΔFAR is similar to ΔSUN.

We need to find the corresponding sides.

Corresponding angles are the angles that are in the same position in any different 2-dimensional shapes.

For any two polygons to be congruent, they must have exactly the same shape and size.

This means that all their interior angles and their corresponding sides must be the same measure.

Angle F is correspond to angle S.

Angle A is congruent to angle U.

Angle R is correspond to angle N.

Hence, Angle F is congruent to angle S. Angle A is congruent to angle U

and Angle R is congruent to angle N.

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Theresa is making accessories for the soccer team. She uses 759.56 inches of fabric on headbands for 31 players and 3 coaches. She also uses 267.53 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?

Answers

The amount of fabric used on a headband and wristband for each player is $30.97.

What is the arithmetic operator?

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

As per the given,

She uses 759.56 inches of fabric on headbands for 31 players and 3 coaches.

Per person = 759.56/(31 + 3) = $22.34

As per the given,

267.53 inches of fabric on wristbands for just the players.

Per player = 267.53/31 = $8.63

Total material of per player = $22.34 + $8.63

⇒ $30.97

Hence "Each player's wristband and headband cost $30.97 worth of cloth".

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which of the following is often used to value complex commercial properties like office complexes, shopping centers, or other investments that may take years to stabilize? which of the following is a condition common to basketball and volleyball plsayers characterized by pain irritation immediately inferior to the patella quizet what is henry grady most famous for? Hello All ! Please help asapThe help I need is in the images below ! Step 3: Create a drawing to demonstrate each step in the Cell Division Mitosis Cycle.***Helpful Information:- Begin with the Interphase- Your pairs of chromosomes are homozygous. Each chromosome will have an identical pair when they duplicate (red pairs with red ... white pairs with white).- This is MITOSIS - The daughter cells will have the identical number and color chromosomes as the diploid cell.You will begin with 3 chromosomes (2 red & 1 white bean) What is the energy change taking placewhen you turn on a cell phone?Nuclear energy to thermal energyPotential energy to chemical energyChemical energy to radiant energyKinetic energy to potential energy Q.7.The table below shows the numbers of pages Lenny can read in certain amounts of time.Lenny's Reading RateTime(minutes)6090135PagesRead108162243Based on the table, which equation can be used to determine the number of pages (p) Lennycan read in t minutes?A. p = 1.5tB.p = 1.8tC.t = 1.5pD.t = 1.8p why are two astronauts in space unable to hear one another The temperature at 8 a. M. I 3. 3C. At 4 p. M. , the temperature i 7. 22C. What i the change in temperature from 8 a. M. To 4 p. M. ? Enter the correct anwer in the box. Subtract to find the change in temperature analyzing and interpreting income tax disclosures the income tax footnote to the 2018 financial statements for boeing follows. the components of income before tax were: years ended december 31 ($ millions) 2018 2017 2016 u.s. $11,724 $10,143 $5,655 non-u.s. 460 469 417 total $12,184 $10,612 $6,072 income tax expense/(benefit) consisted of the following: the right subclavian artery is a: question 33 options: a. visceral branch of the aorta b. parietal branch of the aorta c. not a branch of the aorta d. terminal branch of the aorta Which type of artificial Christmas tree is best? Big Tech Corporation recorded pretax restructuring charges of $981.8 million during the year. The charges consisted of asset write-downs of $647 million, costs associated with exit or disposal activities of $94 million, and employee severance costs of $240.8 million. The company paid $103 million cash to settle these restructuring charges during the year. At year end, the restructuring accrual associated with these charges was: A What does the missing number equal to? A fish tank requires 8 liters of water to fill. Alejandro filled the tank with 2 liters ofwater. Anthony poured 1- less than Alejandro into the tank. How much water does the tankstill need for it to be filled? intercultural conflicts are often characterized by more____ , ____ , and ____ than intracultural conflict. firms and workers who specialize in a certain product become more productive with learning and practice. this is an example of how select the correct answer below: specialization leads to narrowing of skills of workers division of labor could increase output countries become less able to participate in intra-industry trade production costs rise The money multiplier is defined as a.the change in the money supply divided by a. the change in deposits newly deposited into the banking system. b.the change in deposits divided by the change in the money supply. c.consumer demand following government spending. As a technician in a large pharmaceutical research firm, you need to produce 150.0 mL of 1.00 mol/L potassium dihydrogen phosphate buffer solution of pH = 7.00. The pKa of H2PO4 is 7.21. You have the following supplies: 2.00 L of 1.00 M KH2PO4 stock solution, 1.50 L of 1.00 M K2HPO4 stock solution, and a carboy of pure distilled H2O. How much 1.00 M KH2PO4 will you need to make this solution? (Assume additive volumes.)Express your answer to three significant digits with the appropriate units. suppose it takes you 1414 hour to drive to the movie theater at a rate of 40 mph. your friend lives closer to the movie theater than you do. which inequality represents the distance d, in miles, that your friend lives from the movie theater?