Christine went shopping and bought each of her ten nephews a gift, either a video costing $14.95 or a CD costin $16.88. She spent $161.08 on the giftsHow many videos and how many CDs did she buy?

Answers

Answer 1

Therefore , the solution to the given problem of linear equation comes out to be  we bought 6 videos and 3 CDs.

Define a linear equation.

The term "linear" refers to any function that has the algebraic form y=mx+b. m is the y-intercept, while B is the slope. The previous sentence contains a two-variable linear equation since both y and y are factors. Equations involving two variables are called bivariate equations. y + z = 2 and 3z - 6 + x = 3 are two of the many applications for linear equations. The equation y=mx+b, where m stands for the slope and b for the y-intercept, is referred to as a linear equation. The formula is Y=mx+b, where m denotes the inclination and b the y-intercept.

Here,

A collection of equations will be constructed.

Let V = the number of videos purchased.

C will stand for the quantity of purchased CDs.

Since there are eight nephews in all, and each nephew received either a video or a CD, the sum of the numbers of movies and CDs is nine.

So V + C = 9.

We are also aware of how much each CD and film cost and how much money was wasted.

So 14.95V + 16.88C = 140.34

Here, let's experiment with substitution.

Let's just solve for V since it doesn't matter whichever variable we do it for. V = 9 - C

Therefore, replace "V" in the second equation with "9-C," and the result will be 134.55 - 14.95C + 16.88C = 140.34 1.93C = 5.79 C = 3

You can add C = 3 straight into either of the original equations, though I believe I know which one is simpler for you.

V + 3 = 9

V = 6

So we bought 3 CDs and 6 videos.

Therefore , the solution to the given problem of equation comes out to be  we bought 6 videos and 3 CDs.

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Related Questions

One circle has a circumference of 12x cm. Another circle has a circumference of 32 cm. What is the ratio of the
adius of the smaller circle to the radius of the larger circle?
O 3:8
O 8:3
O 1:3
O 3:1
56:23
21

Answers

The ratio of the radius of the smaller circle to the radius of the larger circle as required in the task is; 3:8.

What is the ratio of the radius of the smaller circle to the radius of the larger circle?

It follows from the task content that the circumference of the smaller circle is; 12cm while that of the bigger circle is; 32cm.

Since, the circumference of a circle is directly proportional to the radius of the circle from the formula; C = 2πr.

The ratio is therefore; 12:32, in which case, when expressed in its simplest form is; 3:8.

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What do you do in calculus?

Answers

Answer:

In math, calculus deals with the finding and properties of derivatives and integrals of functions, by methods originally based on the summation of infinitesimal differences. The two basic types of calculus are differential calculus and integral calculus.

Step-by-step explanation:

hope it helps

sorry if I'm wrong

Suppose you roll a 6-sided die and draw a card from a deck
of 52 cards. how many possible outcomes are there?

Answers

Total possible outcomes are 312

We need to find that if you roll a 6-sided die and draw a card from a deck of 52 cards,what are total possible outcomes

Probability is a measure of the possibility that an event will occur. Many events cannot be predicted with absolute certainty. We can only predict the probability that an event will occur, i.e. how likely it is to occur, using it. Probability can range from 0 to 1, where 0 means an event is impossible and 1 means a certain event

An outcome is the result of an event that depends on probability. Probability refers to the likelihood that something will happen, and an event can have more than one possible outcome.

Enumeration of possible outcomes is the process of determining the number of possible outcomes for an event. There are various methods to carry out this process. The best way to calculate the number of possible outcomes of an event depends on the type of event and the structure of the event

If a 6-sided die and draw a card from a deck,

then each side has total possible outcome 52

so, total number of possible outcomes for 6 - sided dice are 52 * 6

= 312

Hence total number of possible outcomes are 312

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On a coordinate plane, a solid straight line has a positive slope and goes through (0, negative 1) and (3, 0). Everything above and to the left of the line is shaded.
Which linear inequality is represented by the graph?

y ≤ One-thirdx − 1
y ≥ One-thirdx − 1
y < 3x − 1
y > 3x − 1

Answers

The graphed inequality is:

[tex]y \geq \frac{1}{3}*x - 1[/tex]

Which linear inequality is represented by the graph?

We know that the line is solid, and the region above and to the left is shaded, then the inequality is of the form:

y  ≥ line.

Now we need to get the linear equation.

It is of the form;

y = a*x + b

Where a is the slope and b is the y-intercept. Because it passes through (0, -1), we know that the y-intercept is -1.

And knowing that the line passes through (0, -1) and (3, 0), the slope is:

[tex]a = \frac{- 1 - 0}{0 - 3} = \frac{1}{3}[/tex]

Then the inequality is:

[tex]y \geq \frac{1}{3}*x - 1[/tex]

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Help with these two questions please !!

Answers

Answer:

1. (x + 8)(x + 3)

2. (x - 9)²

Step-by-step explanation:

Given trinomials:

1. [tex]x^2+11x+24[/tex]

2. [tex]x^2-18x+81[/tex]

..................................................................................................................................................

When factoring trinomials of the form ax² + bx + c:

Multiply the leading coefficient and the last term.Find the product factors that add up to give you the coefficient of the middle term.Rewrite the polynomial with those factors replacing the middle term.

..................................................................................................................................................

1) x² + 11x + 24

Step 1: Multiply the leading coefficient (1) and the last term (24).

[tex]\implies 1 \times 24 = \boxed{24}[/tex]

Step 2: Find the product factors that sum up to the middle term's coefficient (11).

[tex]\begin{array}{| c | c |}\cline{1-2} \sf Factors\:of\:24 & \sf Sum\:of\:factors\\\cline{1-2} 1, 24\ \| -1, -24 & 25\ \| -25 \\\cline{1-2} 2, 12\ \| -2, -12 & 14\ \| -14 \\ \cline{1-2} 3, 8\ \| -3, -8 & 11\ \| -11 \\\cline{1-2} 4, 6 \ \| -4, -6 & 10\ \| -10 \\\cline{1-2}\end{array}[/tex]

[tex]\implies 3x+8x=11x[/tex]

Step 3: Rewrite the polynomial with those factors, replacing the middle term.

[tex]\implies x^2+3x+8x+24[/tex]

Step 4: Factor by grouping.

[tex]\implies \overbrace{(x^2+3x)}^x+\overbrace{(8x+24)}^8\ \ \textsf{[ Factor out $x$ and $8$. ]}[/tex]

[tex]\implies x\overbrace{(x+3)}^{\textsf {Factor out}}+8(x+3)[/tex]

[tex]\implies \boxed{(x+8)(x+3)}[/tex]

The factored form of the given trinomial is [tex](x+8)(x+3)[/tex].

..................................................................................................................................................

2) x² - 18x + 81

Step 1: Multiply the leading coefficient (1) and the last term (81).

[tex]\implies 1 \times 81 = \boxed{81}[/tex]

Step 2: Find the product factors that sum up to the middle term's coefficient (-18).

[tex]\begin{array}{| c | c |}\cline{1-2} \sf Factors\:of\:81 & \sf Sum\:of\:factors\\\cline{1-2} 1, 81\ \| -1, -81 & 81\ \| -81 \\\cline{1-2} 3, 27\ \| -3, -27 & 30\ \| -30 \\ \cline{1-2} 9, 9\ \| -9, -9 & 18\ \| -18 \\\cline{1-2}\end{array}[/tex]

[tex]\implies (-9x)+(-9x)=-18x[/tex]

Step 3: Rewrite the polynomial with those factors, replacing the middle term.

[tex]\implies x^2-9x-9x+81[/tex]

Step 4: Factor by grouping.

[tex]\implies \overbrace{(x^2-9x)}^x+\overbrace{(-9x+81)}^{-9}\ \ \textsf{[ Factor out $x$ and $-9$. ]}[/tex]

[tex]\implies x\overbrace{(x-9)}^{\textsf {Factor out}}-9(x-9)[/tex]

[tex]\implies (x-9)(x-9)[/tex]

[tex]\implies \boxed{(x-9)^2}[/tex]

The factored form of the given trinomial is [tex](x-9)(x-9)\ \textsf{or}\ (x-9)^2[/tex].

Question 1 of 21
Which of the following steps would you perform to the system of equations
below so that the equations have equal x-coefficients?
4x+2y = 4
12x+y = 22
O A. Divide both sides of the top equation by 3
B. Multiply both sides of the top equation by 3
C. Multiply both sides of the bottom equation by 3
OD. Divide both sides of the bottom equation by 2

Answers

The answer of this is 6 flags at 8 are rousters that are very loud x+6 description chicken x-9 plus a side of gravy and cheese x-9 x+6 d

The surface of a table to be built will be in the shape shown below. The distance from the center of the shape to the center of each side is 10.4 inches and the length of each side is 12 inches.

Answers

The are of the triangle is mathematically given as

a=62.4in^2. This is further explained below.

What is the area of the triangle?

Generally, the equation for the area is  mathematically given as

a= 0.5(base X height)

Therefore

a= 0.5 (10.4 x 12)

a=62.4in^2

In conclusion, The area of the triangle is

a=62.4in^2

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Find the lateral area of this pyramid whose
base is a regular hexagon with a side length of
3 cm and whose slant height is 12 cm.
12 cm
3 cm
[ ? ] cm2

Answers

The lateral area of the given pyramid is 108 cm².

Any three-dimensional figure's lateral surface area is its side surface area.

In the question, we are asked to find the lateral area of the given pyramid, whose base is a regular hexagon, with a side length of 3 cm, and the slant height of the pyramid is 12 cm.

To determine the lateral area, we determine the area of one lateral face, and then multiply it by the number of lateral faces in the pyramid.

The number of lateral faces = sides of the base = 6 {Since the base is a regular hexagon}.

Area of a lateral face = (1/2)*base*height {Since its a triangle},

or, area of a lateral face = (1/2)*3*12 {Since the base is the side length of the base, and the height is the slant height},

or, area of a lateral face = 18 cm².

Thus, the lateral area of the pyramid = 6 * 18 cm² = 108 cm².

Thus, the lateral area of the given pyramid is 108 cm².

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The revenue earned from tourists in Florida was:
2018 – $4 381 million
2019 – $3 607 million
What is the percentage decrease in revenue from tourists to Florida?
Select one answer
A) 17.67%
B) 21.46%
C) 82.33%
D) 121.46%

Answers

Answer: A) 17.67%
Please see my attached photo for the formula.

The KM values for the reaction of chymotrypsin with 2 substrates are given below. Which substrate is likely to give a higher value for Vmax

Answers

N-acetyltyrosine ethyl ester may likely have a higher Vmax.

How are the Km and Vmax of an enzyme and substrate related?

Km is inversely proportional enzyme affinity for substrate. The lower the Km, the higher the enzyme affinity for substrate and vice versa.

Vmax is the maximum velocity of the reaction when the enzyme is fully saturated with substrate.

Based on the Km values, chymotrypsin has higher affinity for N-acetyltyrosine ethyl ester, thus, N-acetyltyrosine ethyl ester may likely have a higher Vmax.

In conclusion, the Vmax is the maximum velocity of an enzyme-catalyzed reaction.

Note that the complete question is given below:

The Km for the reaction of chymotrypsin with N-acetylvaline ethyl ester is 8.8 x 10-2 M, and the Km for the reaction of chymotrypsin with N-acetyltyrosine ethyl ester is 6.6 x 10-4 M.

Which of the following substrates is likely to give a higher value for Vmax?

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Which values of x would make a polynomial equal to zero if the factors of the
polynomial were (x-5) and (x-6)?


A. -5 and 6

B. 5 and 6

C. 5 and -6

D. -5 and -6

Answers

If the factors of the polynomial were (x-5) and (x-6), the values of x that would make the polynomial equal to zero would be 5 and 6.

5 - 5 = 0

6 - 6 = 0

Assuming the polynomial is (x-5)(x-6), if one factor is 0 then anything multiplied by 0 is still 0.

Hope this helps!

in quadrilateral ABCD, AB || CD. which additional piece of information is needed to determine the ABCD is a parallelogram?

Answers

The additional information needed to determine that ABCD is a parallelogram is: A. AB ≅ CD.

How to Identify a Parallelogram?

One of the criteria for proving that a quadrilateral is a parallelogram is that one of the pairs of opposite sides are congruent and also parallel to each.

We are already given that side AB is parallel to side CD, therefore, the additional information we would need to prove that quadrilateral ABCD is a parallelogram is: A. AB ≅ CD.

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Find the product -2/9(-5/3) I-Ready math

Answers

The product of the given fractions, -2/9(-5/3), is: 10/27.

How to Find the Product of Two Fractions?

Given the fractions, -2/9(-5/3), recall that minus multiplied by minus equals plus.

So therefore, the product of the two fractions would be a positive number. Thus:

-2/9(-5/3) = (-2 × -5)/(9 × 3)

-2/9(-5/3) = 10/27

Therefore, the product is: 10/27.

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The triangles are similar. Find the value of the variable.

Answers

Answer is r = 2.5
First find the ratio of triangle like sides
11 / 4 = 2.75 ratio
Now divide 7 by ratio 2.75 = 2.5

A random survey of 75 death row inmates revealed that the mean length of time on death row is 17.4 years with a standard deviation of 6.3 years. If you were conducting a hypothesis test to determine if the population mean time on death row could likely be 15 years, what would the null and alternative hypotheses be

Answers

The null hypothesis be is =15 and the alternative hypothesis be  is ≠15

According to the statement

Mean length of time on death row is 17.4 years

Standard deviation of 6.3 years.

Now we determine the hypothesis with mean time 15 years then

P value outcome is 0.00015

So, The null hypothesis be  is =15 and the alternative hypothesis be is ≠15

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What is the solution to this equation? (1/4)^x+1 =31
A. -7/2
B. 2
C. 3/2
D. -2

Answers

A. -7/2

(1/4)^x+1=31

x+1=(-1/2)logbase2(31)-1

x=(-1/2)logbase2(31)-1

x=-3.5 or -7/2

30 points please help (a) Find an angle between 0 and 2π that is coterminal with −π2.
(b) Find an angle between 0° and 360° that is coterminal with 480°.

Answers

The coterminal angles are given as follows:

a) 0º.

b) 120º.

What is the coterminal angle of a negative angle?

The coterminal angle of a negative angle between 0 and -360º = -2pi is found adding 360º = 2pi to the angle, hence:

-2pi + 2pi = 0, which is the answer to item a.

What is the coterminal angle of an angle greater than 360º?

The coterminal angle is found taking the remainder of the division of the angle by 360º.

The remainder of the division of 480º by 360º is of 120º, hence the coterminal angle of 480º is of 120º.

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Activity in this activity, you will first find the squares of positive and negative numbers. then you will determine whether the solution to an equation is a perfect square. question 1 part a complete the table by squaring each positive x-value listed.

Answers

The complete table is shown below.

What is square root?A number's square root is the factor that can be multiplied by itself to yield that number. The square root of, the end square root is the symbol for the square root. Finding an integer's square root is the inverse of squaring a number.

Complete the table as follows:

[tex]2^{2} = 2*2 = 4\\3^{2} = 3*3 = 9\\4^{2} = 4*4 = 16\\5^{2} = 5*5=25\\6^{2} =6*6=36\\7^{2} =7*7=49\\8^{2} =8*8=64\\9^{2} =9*9=81\\10^{2} =10*10=100\\11^{2} =11*11=121[/tex]

Therefore, the complete table has been shown.

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The question you are looking for is here:

Complete the table by squaring each positive x-value listed 2, 3,4,5,6,7,8,9,10,11.

What is the height, x, of the equilateral triangle shown?
60°
60°
10 in.
60°
O A. 5in.
O B.
OC. 10in.
OD. 10√3in.
5√/3in.

Answers

Answer:

B

Step-by-step explanation:

Drop an altitude. Either of the two resulting right triangles with legs of length 5 and x and a hypotenuse of 10.

By the Pythagorean theorem, it follows that the answer is B.

HELPPPPPPPPPPPP (-12)^3:8^3

Answers

Answer:

-1728:512

Step-by-step explanation:

(-12)³ = -1728

8³ = 512

ratio is -1728:512

Carla left the bookstore traveling 12 mph. Then, 3 hours later, Zari left traveling the same direction at 18 mph. How long does Zari have to travel before catching up with Carla

Answers

Answer:

6 hours.

Step-by-step explanation:

Speed = distance / time.

Carla travels  3 * 12 = 36 miles before Zari leaves the shop.

So Zari travels x miles in the same time as Carla travels x- 36 miles.

So 18 = x/t and 12 = (x - 36)/t

From first equation x = 18t so we have the equation

12 = (18t - 36/t

18t - 36 = 12t

6t = 36

t = 6 hours.

A simple main effect analysis examines: relationships between independent and dependent variables. the overall effect of the interaction. the overall effect of one independent variable. mean differences at each level of the independent variable.

Answers

A simple main effect analysis looks at the mean difference at each level of the independent variable.

Given With a simple main effect, the analysis examines.

Simple effects are also called the main effects of design of experiments. The main effect can be defined as the effect of the explanatory variables measured on a particular criterion or response variable of the study. It's easy to say that what happens within the level of the explanatory variables is the difference. In a factorial experiment, the simple main effect is that one independent variable is at a specified level of another. The main effect of one independent variable is averaged across the levels of the other independent variable. For a simple main effect, the results are analyzed as if a separate experiment was performed at each level of the other independent variables.

Therefore, a simple main effect analysis looks at the mean difference at each level of the independent variable.

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What is the y-value of point A? On a coordinate plane, point A is 6 units to the right and 1 unit up.

Answers

Answer:

1

Step-by-step explanation:

Points on a coordinate plane are written as (x,y) coordinates. The vertical axis is the y axis. If your point is "one unit up" its y-value is 1. (The horizontal axis is the x-axis. The x-value is 6.)

mann
On a map, 2.5 inches represents 52 miles. What is the actual distance represented by 5 inches on the map?
2.5 5
52 x

Answers

Answer:

104 miles.

Step-by-step explanation:

5 inches is 2 * 2.5 inches so the distance required is 2*52 = 104 miles.

HURRY PLEASE I NEED HELP
the number of hours you study for an exam affects your grade.what is the reasonable value of the range?
A - 75
B - 1.25
C - 1/2
D - 30

Answers

The reasonable value for the range of the given function is: A. 75.

What of the Range of a Function?

The range of a function is the output that a corresponding input value would give as a relation.

In this scenario, the grade you get is a function of number of hours you study. Range is the grade (output), while the domain is hours of study (input).

The given possible range values in the options are, 75, 1.25, -30, 1/2.

A reasonable value of a a grade cannot be a negative number, neither can it be 1.25, nor 1/2.

Therefore, the reasonable value of the range is: A. 75.

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Please help me, random answers will be reported

Answers

Answer:

the side length of hypotenuse is 16.28

Step-by-step explanation:

[tex]a^{2}+b^{2}=c^{2}[/tex]

= [tex]11^{2}+12^{2}= C^{2}[/tex]

= [tex]121+144=c^{2}[/tex]

= [tex]265= c^{2}[/tex]

= [tex]\sqrt{265} = c[/tex]

= [tex]c = 16.28\\[/tex]

Answer:

A = 42.5° (nearest tenth)

B = 47.5° (nearest tenth)

C = 90°

a = 11

b = 12

c = √(265) = 16.3 (nearest tenth)

Step-by-step explanation:

Information:

Side a is opposite angle A.

Side b is opposite angle B.

Side c is opposite angle C.

From inspection of the triangle:

a = 11b = 12C = 90°

To find the missing side length, use Pythagoras Theorem:

Pythagoras Theorem

a² + b² = c²

(where a and b are the legs and c is the hypotenuse of a right triangle).

Substitute the given values of a and b into the formula and solve for c:

⇒ 11² + 12² = c²

⇒ 121 + 144 = c²

⇒ c² = 265

⇒ c = √(265)

To find one of the missing angles, use the Sine Rule.

Sine Rule

[tex]\sf \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]

(where A, B and C are the angles and a, b and c are the sides opposite the angles)

Substitute the given values into the formula:

[tex]\implies \sf \dfrac{\sin A}{11}=\dfrac{\sin B}{12}=\dfrac{\sin 90^{\circ}}{\sqrt{265}}[/tex]

Solve for angle A:

[tex]\implies \sf \dfrac{\sin A}{11}=\dfrac{\sin 90^{\circ}}{\sqrt{265}}[/tex]

[tex]\implies \sf \dfrac{\sin A}{11}=\dfrac{1}{\sqrt{265}}[/tex]

[tex]\implies \sf \sin A=\dfrac{11}{\sqrt{265}}[/tex]

[tex]\implies \sf A=\sin^{-1} \left(\dfrac{11}{\sqrt{265}}\right)[/tex]

[tex]\implies \sf A=42.51044708...^{\circ}[/tex]

Therefore, A = 42.5° (nearest tenth)

Interior angles of a triangle sum to 180°:

⇒ A + B + C = 180°

⇒ 42.5° + B + 90° = 180°

⇒ B + 132.5° = 180°

⇒ B = 47.5°

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Members of a softball team raised $1353 to go to a tournament. They rented a bus for
$943.50 and budgeted $31.50 per player for meals. Write and solve an equation
which can be used to determine x, the number of players the team can bring to the
tournament.
Equation:
Answer: x =
Submit Answer
attempt 1 out of 2

Answers

The equation which can be used to determine x, the number of players the team can bring to the

tournament is 1353 = 943.50 + 31.50x and x = 13 players

Equation

Total amount raised = $1353Cost of renting a bus = $943.50Cost of each player's meal = $31.50Number of players in the team = x

1353 = 943.50 + 31.50x

1353 - 943.50 = 31.50x

409.50 = 31.50x

x = 409.50 / 31.50

x = 13 players

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Someone help pls, its urgent! ASAP!!! (Geometry)
“Fill in the blanks”

Answers

14) theorem

15) sides

16) separately

17) equilateral

18) supplementary

An analyst obtains the salaries of all 200 federal appeals court judges in 2017 and computes the mean salary to be $215,000. the $215,000 is a

Answers

An analyst obtains the salaries of all 200 federal appeals court judges in 2017 and computes the mean salary to be $215,000. the $215,000 is a parameter.

What is a parameter?A parameter is used to describe the entire population under consideration. For example, we may be interested in the average length of a butterfly. This is a parameter since it contains information about the entire butterfly population.An arbitrary constant whose value identifies a system member (such as a family of curves) is a measure that describes a statistical population (such as a mean or variance).A named variable supplied into a function is referred to as a parameter. Arguments are imported into functions using parameter variables.

Therefore, an analyst obtains the salaries of all 200 federal appeals court judges in 2017 and computes the mean salary to be $215,000. the $215,000 is a parameter.

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a sheep started a journey at 6: 30pm on Monday 6th January and finished 68 hours later find the time, date and the day when the journey finished

Answers

The time, date and the day when the journey finished is 2:30 pm on Thursday 9th January

Time

Time journey started = 6: 30pm on Monday 6th January

Time taken for journey = 68 hours

24 hours = 1 day

68 hours = 68/24

= 2 days and 20 hours

6;30 pm on Monday 6th January + 2 days and 20 hours

= 2:30 pm on Thursday 9th January

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Find AC if EC = 9, ED = 12, and BD = 20. Round to the nearest tenth. The decibel level of the sound from a certain hair dryer is measured at 60 dB. Find the intensity of the sound. What is the order in which electrons start filling the orbitals? a. 1s 2s 2p 3s 3p 4s 3d 4p b. 1s 2s 2p 3s 3p 3d 4s 4p c. 1s 2s 2p 3s 4s 3p 3d 4p d. 1s 2s 2p 3s 4s 4p 3p 3d e. 1s 2s 2p 3s 4s 3p 4p 3d What was the dominant model of federalism that emerged following the new deal? Write your own example of each of the following:a. Personificationb. Hyperbolec. Metaphord. Simile a ship with a bearing of 33 degrees first light a lighthouse at a bearing of north 65 degrees east.after travelling 8.5 miles, the ship observed the lighthouse at bearing of south 50 degrees east. find the distance from the ship to the lighthouse when the first sighting was made? Case Study:ABC factory produces 24,000 units. The cost sheet gives the following information:Direct Materials Rs. 1,20,000Direct Labour Rs. 84,000Variable overheads Rs. 48,000Semi variable overheads Rs. 28,000Fixed overheads Rs. 80,000Total CostRs. 3,60,000Presently the product is sold at Rs. 20 per unit.The management proposes to increase production by 3,000 units for sales in the foreign market. It is estimated that semi-variable overheads wil1,000. But the product will be sold at Rs. 14 per unit in the foreign market. However, no additional capital expenditure will be incurred.O which computer can be used where is no electricity ? 2 parallelograms. The pre-image is smaller than the image.How can you tell that this transformation is a dilation?The figure flipped upside down.The figure changed size.The figure completed a half turn.The figure did not change. Rebecca suffers from bulimia. at the eating disorders clinic, her therapist believes in utilizing only empirically supported treatments for this type of disorder, such as:______ what is the interrelationship between quality of life and population growth How are the products represented in the chemical equation for photosynthesis?O 0 +6C0O C6H12O6 + 6HOO 6CO2 + 6HOO C6H12O6 + 60 A right rectangular pyramid is sliced vertically (down) at the red line by a plane not passing through the vertex of the pyramid m. what is the shape of the cross section? In the diagram above, angle 1=40. Find the measure of angle 4 f(x)X(b)Use the graph to determine the limit visually (if it exists). (If an answer does not exist, enter DNE.)(a)lim f(x)X--1-2lim f(x)x 0Write a simpler function that agrees with the given function at all but one point.q(x) = Osteoporosis is caused by the decrease in the level of ___? For which interval is the function constant? (4,0) begin ordered pair negative 4 comma 0 end ordered pair (4,) left parenthesis 4 comma infinity right parenthesis (0,4) begin ordered pair 0 comma 4 end ordered pair (,4) please help me im in a rush How are the coordinates of the extreme value and the equation from part B in the form y=(x-h)^2-c related. Write an equation of the line that passes through $\left(-1,\ 7\right)$ and is perpendicular to the line $y=-\frac{1}{8}x-1$ .