()
8
What is 11 - 2³

Answers

Answer 1

Answer:

[tex]11 - 2 {}^{3} [/tex]

[tex]11 - 8[/tex]

[tex]3[/tex]


Related Questions

5x -9=2y por suma y resta ecuacion

Answers

Multiplica los números: 5x-9=2y
-45=2y
2y=-45
Y=-45/2
Ecuación:
5x-9=2y
-45=2y
2y=-45

Steve bought a new car for $22,000 but paid 93% of the list price. How much was the list price

Answers

Answer:

approximately $23,655.91 (rounded to the nearest hundredths place)

Step-by-step explanation:

[tex]22,000=0.93x\\x=23,655.91[/tex]

The list price was $23,540

Step my step explanation:

In this problem, we are trying to find 100 percent of the 93% Steve paid for his new car. First we will find the 7% Steve has not paid yet. If Steve paid $22,000, that would be 93% of the list price.

1.) Multiply 22,000 by .07 (or 7 percent)
2.) Add the 7 percent ($1540) to $22,000 (The amount he already paid)
3.) Get the result 23,540!

Let me know if you have any questions :$

if the length of a side of a square is x CM its perimeter is​

Answers

Square perimeter =4x cm.

The complete length that a square's edge encompasses is referred to as its perimeter. Any enclosed geometric shape's perimeter may be computed by measuring the space around it.

By calculating the total of all the sides of a square, the perimeter may be determined. The perimeter of a square will be stated as,

The perimeter of square = s + s + s + s

Perimeter of square = 4s, where "s" is the side length of the square.

This is because all edges of a square are equal and each edge measures "s" units.

Calculating the perimeter of a square:

Mathematically, the formula for calculating a square's perimeter is: Square perimeter, (P) = 4 Side

P= 4x cm

It is concluded that the solution is 4x cm.

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can someone please help walk me through the steps to solve number 79? i’m lost

Answers

Answer: 70/29

Step-by-step explanation:

[tex]S=\theta r\\\\35=14.5 \theta\\\\\theta=\frac{35}{14.5}=\boxed{\frac{70}{29}}[/tex]

Prove that < AOD and < BOD are supplementary

Answers

Angle AOD and < BOD are supplementary since they are both right angles which equal 180°.

What is a supplementary angle?

It should be noted that a supplementary angle simply means an angle that adds up to 180°.

In this case, the angles given are both rights angles. This will be:

= 90° + 90°

= 180°

In this case, Angle AOD and < BOD are supplementary since they are both rights angles which equal 180°.

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This year Rafael has 60 regular customers which is 150 percent of the 40 regular customers he had last year.

Answers

The base is 60, the part is 40 and the rate is 150%.

How to depict the information?

The base is the whole quantity or amount that the problem is about.

The part is referred to as the percentage is the portion of the base. The rate is the number with the percentage.

In this case, the base is 60, the part is 40 and the rate is 150%.

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Which table has greater constant of proportionality?

Answers

The table with greater proportionality is table 3.

What is constant proportionality?

The constant of proportionality is the ratio between two directly proportional quantities.

As, the constant proportionality is

k= y/x

For table 1,

k = 1/1 = 2/2 =1

For table 2,

k = 6/1= 12/2 = 2

For table 3,

k = 5/1 = 10/2 = 5

For table 4,

k = 4/1 = 8/2 = 4

Hence, table 3 is with greater proportionality.

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what is golden ratio, and explain it's history

Answers

Answer:

The golden ratio is a proper term in the field of mathematics, but it finally covers more than the research in the field of mathematics. According to the current literature discussion, we can say that the discovery of the Golden ratio and how it evolved is still a mystery. But studies have shown that the Pythagorean school of ancient Greece in the 6th century BC studied the formation of regular 5-sided and regular 10-sided plots, leading modern mathematicians to conclude that the Pythagorean school had touched on and even mastered some of the rules of the golden ratio and also discovered irrational numbers. It focuses on the relationship from mathematics, to explore the principle of beauty and that beauty is harmony and proportion, according to the proportional relationship can form beautiful patterns, this is actually a digital proportional relations, the line is divided into two parts, a long and a short period of the ratio of the equal to the ratio of length to a long, their proportion is around 1.618:1, This mathematical principle is also embodied in the famous Frederikian sequence, in which everything in this proportion shows the harmony and balance of its internal relations.

In the 4th century BC, the Greek mathematician Eudoxus was the first to systematically study this problem and establish the theory of proportion. Around 300 BC, Euclid absorbed the research results of Eudoxus in writing The Elements of Geometry and further systematically discussed the Golden Section, which became the earliest treatise on the golden Section (i.e. the middle and the end ratio) [5].

After the Middle Ages, the golden ratio was shrouded in mystery. Italian mathematician Luca Pacioli called the middle and the end of the ratio sacred and wrote a book about it. The German astronomer Johannes Kepler called the divine ratio the Golden Ratio. Golden in the 19th century the name only gradually, and the evidence is that German mathematician Martin Ohm (English: Martin Ohm) wrote the second edition of the basic pure mathematics annotation wrote about the interpretation of the golden ratio: "people used to put any straight line along the way will be divided into two parts, the method of known as the golden mean". And in the ninth edition of the Encyclopaedia Britannica, published in 1875, Sully notes: "The interesting, experimental and strong idea put forward by Frederick... proclaimed the supposed superiority of the 'golden Section' in visual proportion." So the Golden Section was already popular. In the 20th century, American mathematician Mark Barr gave it the name Phi. The Golden Section has many interesting properties and has been widely used by humans to make it famous today. The most famous example is the golden ratio or 0.618 method in optimization, which is first proposed in 1953 by Jack Kiefer (English: Jack Kiefer), an American mathematician, and is promoted in China in 1970s.

Assuming that Hamid’s revenue is found by multiplying the book price by the number of copies sold, create an equation (in standard form) to model his revenue.

Answers

An equation of Hamid’s revenue by multiplying the book price by the number of copies sold is  x = ny.

What is an equation?

The process of equating one thing with another.

Let Hamid’s revenue is $x and the price of book is $y.

If he sold n number of copies.

Then, the general equation will be x = n * y.

Therefore, an equation of Hamid's revenue will be x = ny.

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f(x) = 3x² + 5x - 2
g(x) = 5x³-4x² + 4
Find (f + g)(x)

Answers

Answer: [tex]5x^3 - x^2 + 5x+2[/tex]

Step-by-step explanation:

[tex](f+g)(x)=(3x^2 + 5x-2)+(5x^3 - 4x^2 +4)=3x^2 + 5x-2+5x^3 - 4x^2 +4=\boxed{5x^3 - x^2 + 5x+2}[/tex]

1) point)
Problem 2. Fill out the blank to make the given table a discrete probability distribution.
1) point)
2
3
4
P(x)
0.03
0.14
0.65
0.08

Answers

Answer:   0.10

Explanation:

Add up the given decimal values

0.03+0.14+0.65+0.08 = 0.90

Recall that all of the P(X) values must add to 1 to represent 100% of all possible outcomes. So far we added to 0.90, so we're missing 1 - 0.90 = 0.10

As a check,

0.03+0.14+0.65+0.08 + 0.10 = 1

Trevor uses 2 ounces of almonds in each bag of trail mix he makes

Answers

The line on the graph which represents the same relationship between quantities. is line B; y = 2x

Line graph

Number of almonds = 2 ounces

Bags of trail mix = x

Total mix = y

The equation:

y = 2 × x

y = 2x

Complete question:

Trevor uses 2 ounces of almonds in each bag of trail mix he makes.

Bags of Trail Mix Almonds (oz.)

6 Line on the graph represents the same relationship between quantities.

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Using a sequencing method called "RNAseq," a researcher determines the level of FOXP2 expression

Answers

The Z-score is 2.306 to three decimal places. However, the Z-test statistic value shows that it is greater than the Z-critical value, so we reject the null hypothesis [tex]\mathbf{H_o}[/tex]

What is the Z-score of a test statistic?

A z-score is a measurement of how often standard deviations the score obtained from a z-test is beyond or under the mean population.

From the given data information, let us find the mean and the standard deviation.

[tex]\mathbf{Mean (\bar x) = \dfrac{1154+5998+1007+...3987+4187+887}{10}}[/tex]

[tex]\mathbf{Mean (\bar x) = \dfrac{24256}{10}}[/tex]

Mean (x) = 2425.6

The hypothesis testing can be computed as:

[tex]\mathbf{H_o: \mu = 2425.6}[/tex]

[tex]\mathbf{H_1: \mu \ne 2425.6}[/tex]

The standard deviation (σ) is:

[tex]\mathbf{=\mathbf{ \sqrt{\dfrac{(1154-2425.6)^2+....+(887-2425.6)^2}{10-1}}}}[/tex]

[tex]\mathbf{= \sqrt{3199489}}[/tex]

= 1788.71

Now, the Z-test statistic is determined using the formula:

[tex]\mathbf{|Z| = |\dfrac{\bar x - \mu }{\sigma}| }[/tex]

[tex]\mathbf{|Z| = |\dfrac{2425.6 -6550 }{1788.71}| }[/tex]

[tex]\mathbf{|Z| = |-2.3058| }[/tex]

Z ≅ 2.306  

Therefore, at a 0.05 level of significance, the Z-critical value is 2.306. However, since the Z-test statistic value shows that it is greater than the Z-critical value, so we reject the null hypothesis [tex]\mathbf{H_o}[/tex]

The complete question is given as:

Using a sequencing method called "RNAseq," a researcher determines the level of FOXP2 expression in 10 different samples of lung tissue, and obtains these data:

1154 5998 1007 2501 1000 988 2547 3987 4187 887

Scientist has previously determined that FOXP2 is expressed in brain tissue at a level of 6,550. Calculate the Z-score associated with a test to see if the average expression of FOXP in her lung tissue samples is different from the levels she measured from brain tissue.

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4x + 2y=4 and 3x -y= -7

Answers

Answer:

y =  4

x = -1

Step-by-step explanation:

4x + 2y = 4     Eq. 1

3x - y = -7       Eq. 2

from the  Eq. 2

3x = y - 7

3x + 7 = y        Eq. 3

Replacing the value of the Eq. 3 in the Eq. 1

4x + 2(3x+7) = 4

4x + (2*3x + 2*7) = 4

4x + (6x + 14) = 4

10x + 14 = 4

10x = 4 - 14

10x = - 10

x = -10/10

x = -1

from the Eq. 3

3x + 7 = y

3*-1 + 7 = y

-3 + 7 = y

4 = y

Check:

from the Eq. 1

4x + 2y = 4

4*-1 + 2*4 = 4

-4 + 8 = 4

Question Content Area
Strait Co. manufactures office furniture. During the most productive month of the year, 3,500 desks were manufactured at a total cost of $83,800. In the month of lowest production, the company made 1,240 desks at a cost of $61,900. Using the high-low method of cost estimation, total fixed costs are

a.$21,900
b.$49,885
c.$61,900
d.$83,800

Answers

b. Total fixed cost are $49885

What is fixed cost of product ?

Sometimes production of a product may increase or decrease, but the cost which do not change with the change of output is called fixed cost of the product.

What is the total fixed cost ?

Highest monthly total cost = $83800

Highest monthly production units = 3500 desks

Lowest monthly total cost = $61900

Lowset monthly production units = 1240 desks

So, variable cost per unit = (Highest cost-lower cost)/(highest production units-lowest production units)

= ($83800-$61900)/(3500-1240)

= $21900/2260

= $9.7

∴ Total fixed costs=Highest monthly total cost-(highest production units×variable cost per unit)

= $83800-(3500×$9.7)

= $83800-$33950

= $49850

Nearest value is $49885, whch is the correct one.

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Answer this please, thank you in advance :D

Answers

i) Student A used the property of the power of a power and student B used the definition of power and the property of the product of power with the same base. ii) Both were correct.

How to understand power properties

In this question we must analyze the procedure used by each student to simplify a power into the form rⁿ:

i) The student A used the property of the power of a power which states that [tex](r^{m})^{n} = r^{m\cdot n}[/tex]. In exchange, the student B used the definition of power and the property of the product of powers with the same base.

ii) Based on the description in i), both students used correct methods of simplifying.

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Using the Addition Method, solve for y in the following system of linear equations: 4x – 2y = 6 2x + y = 7

Answers

Answer:

y = 2

Step-by-step explanation:

Addition Method:

4x - 2y = 6

2x + y = 7

-2(2x + y) = -2(7)

4x - 2y = 6

-4x - 2y = -14

-4y = -8

y = 2

Substitution Method:

4x - 2y = 6

2x + y = 7

-2y = 6 - 4x

2y = 4x - 6

y = 2x - 3

2x + (2x - 3) = 7

4x - 3 = 7

4x = 10

x = 2.5

2(2.5) + y = 7

5 + y = 7

y = 2

Brainliest, please :)

Urgent please help!!!!!!!!!!
—————————-

What is the solution to system of equations question?

Answers

Answer:

The correct answer is B, the second option

Step-by-step explanation:

(-2, 5/3)

Solve for the first variable in one of the equations, then substitute the result into the other equation.

a woman at a point a on the shore of a circular lake with radius 1.2 mi wants to arrive at the point B diametrically opposite A on the other side of the lake in the shortest possible time (see the figure). she can walk at the rate of 5 mi/h from C to B and row a boat at 3.5 mi/h from A to C . setting T (x) function to the time by interlaced AC, x is interlacted AC. how to move for shortest.

Answers

If she arrives by boat;

The distance she needs to row = Lake diameter

Distance = Lake diameter = 2 x Radius

Boat distance = 2 x 2 miles = 4 miles

So;

When moving on foot

The distance that needs to be moved D = Half of the circle circle

∴ D = π × Radius

The distance that needs to be moved D = π × 2 miles = 2π Miles

Arc length = Radius × θ

String length = radius x 2 x sin (θ / 2)

0 ≤ θ ≤ π, 0 ≤ sin (θ / 2) ≤ 1

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Suppose you just purchased a digital music player and put 6 tracks on it. After listening to it you decide you only like 2 songs. With the random feature on the player, each of the 6 songs is played once in random order. Find the probability that among the first 2 songs played

A. You like both of them

B. You like neither of them

C. You like exactly 1

Answers

The probability that among the first 2 songs played ;a) 6% , not unusual b) 40% and c) 48.4%

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

We have the following information from the statement:

n = 6, r = 2

a)  

P (like both of them) = P (like first song) x P (like second song)

P = 2/6 x 1/5

P = 0.06 = 6%

The probability that among the first 2 songs played and You like both of them is 6%.

b)

P (like neither) = P (not like first song) x P (not like second song)

P = 4/6 x  3/5

P = 0.4 = 40%

c) P (like exactly one of them) = P (first song liked) x P (second song not liked) + P (first song not liked) x P (second song liked)

P = ( 2/6 x 1/5) + (4/6 x  3/5)

P = 0.484 = 48.4%

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Students in a fitness class each completed a one-mile walk or run. The list shows the time it took each person to complete the mile. Each time is rounded to the nearest half-minute.

5.5, 6, 7, 10, 7.5, 8, 9.5, 9, 8.5, 8, 7, 7.5, 6, 6.5, 5.5
Which statements are true about a histogram with one-minute increments representing the data? Select three options.

A histogram will show that the mean time is approximately equal to the median time of 7.5 minutes.
The histogram will have a shape that is left-skewed.
The histogram will show that the mean time is greater than the median time of 7.4 minutes.
The shape of the histogram can be approximated with a normal curve.
The histogram will show that most of the data is centered between 6 minutes and 9 minutes.

Answers

The histogram will have a shape that is left-skewed. Then the correct option is B.

What is a histogram?

A diagram is made up of rectangles whose size is related to a variable's frequency and whose width is comparable to the training sample.

Students in a fitness class each completed a one-mile walk or run. The list shows the time it took each person to complete the mile. Each time is rounded to the nearest half-minute.

5.5, 6, 7, 10, 7.5, 8, 9.5, 9, 8.5, 8, 7, 7.5, 6, 6.5, 5.5

Then the mean will be

Mean = (5.5 + 6 + ..... + 6.5 + 5.5) / 15

Mean = 111.5/12

Mean = 7.4333

Then the median will be

Median = 7.5

The histogram will have a shape that is left-skewed.

Then the correct option is B.

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Answer:

The histogram will have a shape that is left-skewed.

The shape of the histogram can be approximated with a normal curve.

The histogram will show that most of the data is centered between 6 minutes and 9 minutes.

Step-by-step explanation:

B/2, D/4, E/5

Evaluate sin ( Cos^-1( -15/17)) enter your answer as a fraction using the slash bar (/)

Answers

Answer:

sin(cos^-1(-15/17))=8/17

Step-by-step explanation:

I apologize for the bad writing, I hope you can read it

The Strikers soccer team has 20 members, and 8 of them play offense. What percent of the team members play offense?

Answers

Answer:

40%

Step-by-step explanation:

We already have our first value 20 and the second value 8. Let's assume the unknown value is Y which answer we will find out.

As we have all the required values we need, Now we can put them in a simple mathematical formula as below:

Step 1 ⇒ Y = 8/20

By multiplying both numerator and denominator by 100 we will get:

Step 2 ⇒ Y = 8/20 × 100/100 = 40/100

Step 3 ⇒ Y = 40

Finally, we have found the value of Y which is 40 and that is our answer.

Fill in the blank to make the tw
7
9
||
0
54
X

Answers

Answer:

lol

79*540=lol haha

Step-by-step explanation:

then lol lala lol hahahaha hahaha ten another big lol get it lollalol

How to convert from vertex to standard y=2(x-2)^2 -2 to standard

Answers

The quadratic equation in standard form is:

[tex]y = 2x^2 - 8x + 6[/tex]

How to convert from vertex form to standard?

Here we have the quadratic equation:

[tex]y = 2*(x - 2)^2 - 2[/tex]

Here we need to expand the right side, remember:

[tex](a + b)^2 = a^2 + 2ab + b^2[/tex]

Using that, we get:

[tex]y = 2*(x - 2)^2 - 2 = 2*(x^2 - 4x + 4) - 2\\\\y = 2x^2 - 8x + 8 - 2\\\\y = 2x^2 - 8x + 6[/tex]

This is the quadratic equation in standard form.

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A soccer league has 160 players. Of those players 50% are boys. How many boys are in the soccer league?

Answers

Answer:

80 boys

Step-by-step explanation:

160 total players

50% are boys

50% of 160 is 80

PLEASE PLEASEEEEEEE HELPPPPPP!! 100 POINTSSSS :)

A Ferris wheel, called the Atlanta Skyview, recently opened in Centennial Olympic Park in the Atlanta, GA area. The diameter of this Atlanta attraction is 200 feet and has 42 gondolas evenly spaced out along the circle. Each sector starts and ends at the point at which the gondola is attached to the Ferris wheel circle.

Answer the following questions about this Ferris wheel. Be sure to show and explain all work for each problem.

a. Area of the wheel?

b. measure the central angle in degrees

c. Measure of a central angle in radians

d. Arc length between two gondolas

e. Area of each sector.

Answers

The area of the wheel is  31415.9 ft².

The Central angle in degrees is 34.29°

Measure of a central angle in radians is 0.5984 radians

How to calculate the area and central angle of a circle?

A) The image shows an example of this Ferris wheel.

We are given;

Diameter; d = 200 ft

Radius; r = 100 ft

Number of gondolas = 42

Area of the circle wheel = πr²

Area = π * 100²

Area = 31415.9 ft²

B) Now, the sum of angles in a circle is 360°.

Since there are 42 gondola's, then;

Each angle = 360/42 = 60/7°

The central angle will be an angle with its vertex at the center of a circle and with sides that are radii of the circle. From the image, we see that it covers approximately 4 gondola's. Thus;

Central angle = 4 * 60/7° = 34.29°

C) Central Angle in radians will be converted as 0.5984 rad.

D) Arc length between two gondolas is;

S = rθ

S = 100 * 0.5984

S = 59.84 radians

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Question
A company is considering producing some new Gameboy electronic games. Based on past records, management believes that there is a 70 percent chance that each of these will be successful and a 30 percent chance of failure. Market research may be used to revise these probabilities. In the past, the successful products were predicted to be successful based on market research 90 percent of the time. However, for products that failed, the market research predicted these would be successes 20 percent of the time. If market research is performed for a new product, what is the probability that the results indicate a successful market for the product and the product is actually not successful?

Answers

The probability that the results indicate a successful market for the product and the product is actually not successful is P=0.77.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

Events are given:

S: success

F: failure

MS: market research forecast a success

MF: market research forecast a failure

we have given:

P(S)=0.70

P(F)=0.30

P(S | MS)=0.90

P(F | MS)=0.20

we can derive that P(F | MF)=0.80.

We also can conclude that P(S | MF)=0.10.

We can calculate the probability of having a forecast of a failure,

[tex]P(MF | F) =\dfrac{ P(F | MF)P(F)}{ P(F | MF)P(F) + P(S | MS)P(S) }[/tex]

P (MF | F) = 0.24 / 0.31

P (MF | F) = 0.77

The probability that the results indicate a successful market for the product and the product is actually not successful is P=0.77.

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PLEASE HELP Only A

PLEASE

Answers

- 9/20 but decimal form is -0.45

Answer:

= -9/15 ÷ 4/3

= -9/15×3/5

= -9/15×3/4

= 36/5

=7

Solve: 2v+15=3w for w.

Answers

Answer:

w= 2v/3 plus 5

2v+15=3w.forw

Swap sides so that all variable terms are on the left hand side.

3w=2v+15

Divide both sides by 3.

3

3w

=

3

2v+15

Dividing by 3 undoes the multiplication by 3.

w=

3

2v+15

Divide 2v+15 by 3.

w=

3

2v

+5

Step-by-step explanation:

2v+15=3w.forw

Swap sides so that all variable terms are on the left hand side.

3w=2v+15

Divide both sides by 3.

3

3w

=

3

2v+15

Dividing by 3 undoes the multiplication by 3.

w=

3

2v+15

Divide 2v+15 by 3.

w=

3

2v

+5

Step-by-step explanation:

2v+15=3w.forw

Swap sides so that all variable terms are on the left hand side.

3w=2v+15

Divide both sides by 3.

3

3w

=

3

2v+15

Dividing by 3 undoes the multiplication by 3.

w=

3

2v+15

Divide 2v+15 by 3.

w=

3

2v

+5

Step-by-step explanation:

2v+15=3w.forw

Swap sides so that all variable terms are on the left hand side.

3w=2v+15

Divide both sides by 3.

3

3w

=

3

2v+15

Dividing by 3 undoes the multiplication by 3.

w=

3

2v+15

Divide 2v+15 by 3.

w=

3

2v

+5

Step-by-step explanation:

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To calculate the risk of an accident, multiply the probability it will occur by its potential.Direct costIndirect costSeverityLikelihood Naomi weighed 50 patients for a medical study using a scale that measures to the nearest whole pound. She then calculated the mean weight as 176 pounds, with a standard deviation of 12 pounds. If the distribution is normal, what percent of the data lies between 140 pounds and 212 pounds? Which function is the inverse of f(x)=1/2x+5? Which is the domain and range of the parabola with the equation y = 0.5(x2 8x 6)? D: (, ); R: (, 11] D: (, ); R: [11, ) D: (, 11]; R: (, ) D: [11, ); R: (, ) considering the inequality -5x-4y PLEASE HELPNatalie invests $6,680 in a savings account with an interest rate of 2% compounded continuously.How long will it take for the account balance to reach $8,838.51? help grade 5 math please only answer if you know and if its right ill mark brainliest and please fast extra points who explain it How is a state and global economies connected? Gab and Greg ____________ nothing to do with the mischief done by Thirdy and Max What are distilled chemicals used for and what are the environmental impacts? Hey guys, need help here What is a name for the marked angle? ethnographic fieldwork can best be described as A line that includes the point (0, 6) has a slope of 1/3. What is its equation in slope-interceptform? Read the excerpt from Parvati's argument in favor of using cell phones in class.Today's cell phones are not just phones; they are little computers. That means they are effective research tools. Students can use them to access dictionaries, encyclopedias, and other reference materials. They can search for articles, videos, and images. In my civics class, our teacher even held mock elections, and we voted using our cell phones.What is the best evaluation of Parvati's evidence? Select the correct answer.Sammile pays $30 for a bag that she buys at a discount of 50% What is the price of the bag without the discount?O A $30O B. $45O C. $60O D. $80 Technician A states; that bent lift arms can be straightened.Technician B states; that worn lift pads should be replaced.Who is correct?Both technician "A" and "B"Neither technician "A" nor "B"Technician "A" onlyTechnician "B" only What is the scale factor from ABC to DEF?A. 2B. 1/2C. 3D. 1/3 The average production cost for major movies is 57 million dollars and the standard deviation is 22 million dollars. Assume the production cost distribution is normal. Suppose that 17 randomly selected major movies are researched. Answer the following questions. Give your answers in millions of dollars, not dollars. Round all answers to 4 decimal places where possible. What is the distribution of X ? X ~ N( , ) What is the distribution of x ? x ~ N( , ) For a single randomly selected movie, find the probability that this movie's production cost is between 55 and 58 million dollars. For the group of 17 movies, find the probability that the average production cost is between 55 and 58 million dollars. For part d), is the assumption of normal necessary? NoYes A central idea of the second paragraph is that . One piece of evidence that supports this idea is . Another piece of evidence that supports this idea is .