_ percent 2½ hours is 45 minutes​

Answers

Answer 1

Answer:

30%

Step-by-step explanation:

Let's first convert the 2.5 hours into minutes so we have the same units.

1 hour = 60 minutes

2.5 x 60 = 150 minutes

Now we can use the percentage formula.

(value/total value) x 100 = percentage

Since the question is asking what percent of 2½ hours is 45 minutes​, we plug in the formula like this.

(45/150) x 100 = 30%

tadah!


Related Questions

PLEASE HELP I NEED THIS SOON! The monthly revenue of a digital magazine from each user is represented by the function f(x) = 4x + 1. The monthly cost to provide the digital magazine to each user per month is represented by the function g(x) = x2. Which of the following evaluates the profit function for each user of the digital magazine after 2 months?

A (f • g)(2) = (4(2) + 1)(22) = (9)(4) = $36
B (f + g)(2) = (4(2) + 1) + 22 = 9 + 4 = $13
C (g − f)(2) = 22 − (4(2) + 1) = 4 − 9 = −$5
D (f − g)(2) = (4(2) + 1) − 22 = 9 − 4 = $5

Answers

Answer:

The answer is D(f-g)

Step-by-step explanation:

Profit minus expenses

Answer:

D

Step-by-step explanation:

The profit can be defined as (cost of production) - (revenue) and since the cost is defined as g(x) = x^2 and the revenue is f(x) = 4x+1. The profit can be defined as \((f-g) = (4x+1)-x^2 = -x^2+4x+1\). After 2 months you can calculate the profit by simply plugging in 2 as x. This gives you the equation: \((f-g) = (4(2) + 1) - 2^2 = 9-4 = 5\$\)

carson kelly, a catcher for the arizona diamondbacks, hit 18 home runs in 2019. if his home-run-hitting ability is expected to grow by 12 percent every year for the following five years, how many home runs is he expected to hit in 2024?

Answers

Carson Kelly is expected to hit approximately 31 home runs in 2024.

To find how many home runs Carson Kelly is expected to hit in 2024, we can use the formula for compound interest, where the initial amount is the number of home runs he hit in 2019, and the interest rate is the expected growth rate of his home run hitting ability, which is 12 percent or 0.12 as a decimal.

Let H be the number of home runs hit in 2019, and H(n) be the number of home runs hit in year n, then we can write:

H(n) = H * (1 + r)^n

Where r is the growth rate, and n is the number of years into the future.

If we plug in the given values, we can find the number of home runs Carson Kelly is expected to hit in 2024, which is 5 years after 2019.

H = 18 (number of home runs in 2019)

r = 0.12 (growth rate)

n = 5 (number of years into the future)

H(5) = 18 * (1 + 0.12)^5

H(5) = 18 * 1.7623

H(5) = 31.9214

It's important to note that this is simply an estimate based on the given growth rate, and the actual number of home runs he hits in 2024 may vary based on many factors, including injuries, team support, and the skill of opposing pitchers, among others.

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Plz help me ASAP, Plz show the working so i know you did it, Thank you so much

 Plz help me ASAP, Plz show the working so i know you did it, Thank you so much

Answers

Step-by-step explanation:

Let's use PEMDAS here

P: N/A

E: To transform \(5^{x}\) to \(5^{3x}\), we put  \(5^{x}\) to the power of 3.

M: We multiply 2 to \(5^{3x}\), stretching the function by 2

M: We multiply -1 to \(2*5^{3x}\), flipping the function vertically over x=0 (this is interchangeable with multiplying 2)

D: N/A

A: We add 8, moving the function to the right by 8

S: N/A

Let f(x) = 7+ √5x-5. Find f(x). f-1(x) =

Answers

f(x) = 7 + √5x - 5

= √5x + 2

Therefore, f(x) = √5x + 2.

To find f-1(x), we need to find the inverse function of f(x). We can do this by swapping x and y and solving for y:

x = √5y + 2

x - 2 = √5y

(x - 2)² = 5y

y = ((x - 2)²)/5

Therefore, f-1(x) = ((x - 2)²)/5.

In summary, f(x) is equal to the square root of 5x plus 2, while f-1(x) is equal to ((x - 2)²)/5.

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a red cap fire hydrant provides 1700 liters per minute of water. how long (in minutes to the nearest minute) will it take to fill a water truck with a tank of the following dimensions: 68 inches diameter and 24 feet long? when the tank is full of water, how heavy will the water load be in pounds (lbm) to the nearest pound?

Answers

It will take approximately 8 minutes to fill the water truck, and the weight of the water load will be approximately 30,296 pounds.

How to find out how long it will take to fill the tank.

First, we need to convert the dimensions of the tank from inches to feet:

68 inches diameter = 68/12 feet = 5.67 feet diameter

24 feet long = 24 feet long

Next, we can calculate the volume of the tank in cubic feet:

Volume = \(pi x (diameter/2)^2 x length\)Volume = \(3.14 x (5.67/2)^2 x 24\)Volume = \(485.15 cubic feet\)

Since 1 cubic foot of water weighs 62.4 pounds, we can calculate the weight of the water in the tank in pounds:

Weight = Volume x DensityWeight = 485.15 x 62.4Weight = 30,296.16 pounds

To find out how long it will take to fill the tank, we can use the flow rate of the fire hydrant:

Flow rate = 1700 liters per minute1 liter = 0.264172 gallonsFlow rate = 1700 x 0.264172 = 449.10 gallons per minute1 gallon = 0.133681 cubic feetFlow rate = 449.10 x 0.133681 = 60.05 cubic feet per minute

Finally, we can divide the volume of the tank by the flow rate to find out how long it will take to fill the tank:

Time = Volume / Flow rateTime = 485.15 / 60.05Time = 8.08 minutes

Therefore, it will take approximately 8 minutes to fill the water truck, and the weight of the water load will be approximately 30,296 pounds.

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How much change would Zachary receive if he paid for a video game that cost $39.99 with 7% sales tax and paid for it with a $50-bill? Explain your reasoning and show your work.

Answers

Answer:

$7.21

Step-by-step explanation:

Total after sales tax:

$39.99 × 1.07 = $42.79

Change: $50.00 - $42.79 = $7.21

Find the distance between the two points. Write your answer as a
decimal rounded to the hundredths place if needed.

(4,9) and (11, -12)

Find the distance between the two points. Write your answer as adecimal rounded to the hundredths place

Answers

The distance between the two points is 22.14 units

How to determine the distance between the two points?

The endpoints of the line segment are given as

(4,9) and (11, -12)

This can be rewritten as

(x, y) = (4,9) and (11, -12)

The distance between the endpoints of the segment is then calculated using the following distance formula

distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where

(x, y) = (4,9) and (11, -12)

Substitute the known values in the above equation, so, we have the following representation

Distance = √[(4 - 11)² + (9 + 12)²]

Evaluate

Distance = 22.14

Hence, the distance is 22.14 units

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YYYOOO!!! Anyone!!! Help me, just real quick (quadratic equation factoring)

What is the only solution of 2x2 + 8x = x2 – 16?

And please... Don't be useless

Answers

Answer:

the answer is x=-4

Step-by-step explanation:

YYYOOO!!! Anyone!!! Help me, just real quick (quadratic equation factoring)What is the only solution

8 points
3. A garden in the shape of a regular octagon has a perimeter of 144 feet.
How many square feet of planting space does it have?
3128.8 square feet
543.2 square feet
Ο Ο Ο
1564.4 square feet
782.2 square feet

Answers

i believe it is 543.2

How much parent nuclide remains after three half-lives have elapsed? A. 0% B. 6.25% C. 12.5% D. 30% 29. If a sample of radioactive material contains 17% daughter nuclide, what percentage of parent nuclide is present in the sample? A. 0% B. 17% C. 50% D. 83% 30. The isotope used to determine the absolute age of organic remains is A. carbon-14 B. carbon-12 C. uranium-235 D. uranium-238 31. The half-life of carbon-14 is 5730 years. How old is a bone fragment if the proportion of carbon-14 remaining is 25%? A. 2865 a B. 5760 a C. 11 460 a D. 17 190 a

Answers

Answer:

In order of the questions asked, the answers are, C, D, A, C

Step-by-step explanation:

After three half-lives have elapsed, 12.5% of the original nuclide remains, so the answer is C.

if 17 % is daughter nuclide, then 83% is parent nuclide, so , the answer is D

the isotope for dating organic remains is A. carbon-14

for 25% of original, 2 half-lives must have passed, so we get (2)(5730) = 11460

so the answer is C

The vertex of this parabola is at 2, -1 When the y-value is 0 the x value is 5 what is the coefficient of the squared term in the parabola equation.

A. -3
B. -4
C. 4
D. 3

Answers

Answer:

\(\large \boxed{\sf \frac{1}{9}}\)

Step-by-step explanation:

\(\sf y=a(x-h)^2+k\)

\(\sf Vertex = (h,k)\)

y-value is 0 and the x value is 5

h = 2

k = -1

\(\sf 0=a(5-2)^2+-1\)

Solve for \(\sf a\) (the coefficient of the squared term).

\(\sf 0=a(3)^2+-1\)

\(\sf 0=9a-1\)

\(\sf 9a=1\)

\(\displaystyle \sf a=\frac{1}{9}\)

The coefficient of the squared term in the parabola equation is 1/9.

Answer:

Fot this parabola the coefficient for squared term is 7

Step-by-step explanation:

The formula for vertex equation is:

x = a*(y-h)^{2}+kx=a∗(y−h)

2

+k

if vertex is at (-3,-1) and in the formula the vertex is (k,h), we replace this values

x = a*(y +1)^{2} -3x=a∗(y+1)

2

−3

The other point of this parabola is (4,0), so we replace it in the formula below:

4 = a*(0 + 1)^{2} -34=a∗(0+1)

2

−3

4 = a*(1)-34=a∗(1)−3

4 +3= a*(1)4+3=a∗(1)

a=7a=7

The vertex of this parabola is at 2, -1 When the y-value is 0 the x value is 5 what is the coefficient

If Angie spins the spinner 250 times, predict the number of times it will land on green.
Outcome Freq. Red 4 Green 10 Blue 6

Answers

Answer: 2500

Step-by-step explanation: 250 spins times the amount of greens expected equals 2500.

A study of parents of kindergarteners included 349 parents who were chosen at
random. Of these parents, 47% said they sent their children to pre-kindergarten. School
records show that only 31% of parents of kindergarteners sent their children to pre-
kindergarten. Identify the statistic and the parameter.
Three hundred forty-nine is the parameter and 47% is the statistic.
Three hundred forty-nine is the statistic and 47% is the parameter.
Three hundred forty-nine is the parameter and 31% is the statistic
Forty-seven percent is the parameter and 31% is the statistic
Forty-seven percent is the statistic and 31% is the parameter

Answers

Answer:

Forty-seven percent is the statistic and 31% is the parameter

Step-by-step explanation:

Various terms are used in mathematics when it comes to carrying out particular studies in statistics.

A) Parameter

A parameter when is comes to statistical studies can be defined as the term that tells us more about a group or population of people.

B) Statistic

Statistic is a measure that tells us about is a characteristic of a sample or part of a given population.

In the above question, we are told that: a study of parents of kindergarteners included 349 parents who were chosen at random. Of these parents, 47% said they sent their children to pre-kindergarten. School records show that only 31% of parents of kindergarteners sent their children to pre- kindergarten.

According to the definition of Parameter and Statistic that I explained above,

A) The Parameter is 31% . This is

because it tell us about percentage ( a sample) of parents whose children are in kindergarten that sent their children to prekindergarten first.

B) The Statistic is 47% . This is because, it tell us about the percentage of parents that sent their children to prekindergarten.

Find x if AB = x-6, BC = 7,
and AC= -8 + 2x.

Answers

Answer:

9

Step-by-step explanation:

set up the equation: ab+bc=ac

(x-6) + 7 = (-8+2x)

Step 1: Simplify both sides of the equation.

x−6+7=−8+2x

x+−6+7=−8+2x

(x)+(−6+7)=2x−8(Combine Like Terms)

x+1=2x−8

x+1=2x−8

Step 2: Subtract 2x from both sides.

x+1−2x=2x−8−2x

−x+1=−8

Step 3: Subtract 1 from both sides.

−x+1−1=−8−1

−x=−9

Step 4: Divide both sides by -1.

−x/−1  =  −9 /−1

x=9

write the standard form or the equation of the line described: (-3,-1), perp to y= -3/2x -4

Answers

The equation of the required line is y = (2/3)x + 1

For given question,

We need to find an equation of the line passing through the point (-3, -1) and perpendicular to the line y = (-3/2)x - 4

Let m1 be the slope of required line and m2 be the slope of the line y = (-3/2)x - 4

so, m2 = -3/2

As required line is perpendicular to the line y = (-3/2)x - 4

⇒ m1 × m2 = -1

⇒ m1 × (-3/2) = -1

⇒ m1 = 2/3

So, the slope of the required line is 2/3.

Let (x1, y1) = (-3, -1)

Using slope-point form of the line, the required equation of the line would be,

⇒ (y - y1) = m(x - x1)

⇒ (y - (-1)) = 2/3 (x - (-3))

⇒ y + 1 = 2/3 (x + 3)

⇒ y + 1 = 2/3 x + 2

⇒ y = (2/3)x + 2 - 1

⇒ y = (2/3)x + 1

Therefore, the equation of the required line is y = (2/3)x + 1

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Where is (2,-6) located on the coordinate plane?

Is it y-Axis or A-axis and what quadrant ?

Answers

Answer:

(2, -6) 2 is on the x-axis and -6 is on the y-axis.

Step-by-step explanation: X-Axis is horizontal and Y is vertical. X can also be remembered as left to right. Y-axis runs up and down. It would be in the IV (fourth) quadrant.

Answer:

Step-by-step explanation:

its in the forth box

Use a number line to create a sign chart of each polynomial function

F(x)=-(x+5)(x-2)(2x-4)(x-4)^2

Answers

To create a sign chart for the polynomial function F(x) = -(x+5)(x-2)(2x-4)(x-4)², we will examine the intervals defined by the critical points and the zeros of the function.

Analyzing the Sign Chart

1. Determine the critical points  -

  - The critical points occur where the factors of the polynomial change sign.

  - The critical points are x = -5, x = 2, x = 4, and x = 4 (repeated).

2. Select test points within each interval  -

  - To evaluate the sign of the polynomial at each interval, we choose test points.

  - Common choices for test points include values less than the smallest critical point, between critical points, and greater than the largest critical point.

  - Let's choose test points  -  x = -6, x = 0, x = 3, and x = 5.

3. Evaluate the sign of the polynomial at each test point

  - Plug in the test points into the polynomial and determine the sign of the expression.

The sign chart for F(x) = -(x+5)(x-2)(2x-4)(x-4)² would look like this

Intervals              Test Point         Sign

-∞ to -5                  -6                    -

-5 to 2                   0                       +

2 to 4                    3                      -

4 to ∞                    5                      +

Note  - The signs in the "Sign" column indicate whether the polynomial is positive (+) or negative (-) in each interval. See the attached sign chart.

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Use a number line to create a sign chart of each polynomial function F(x)=-(x+5)(x-2)(2x-4)(x-4)^2

What is the interest rate if…

Principal = $1,250

Time = 4 years

Interest = $285.

Answers

The interest rate is 5.7%

I'd rather be listening to music than this du.mb stuffff

I'd rather be listening to music than this du.mb stuffff

Answers

I don't know the answer but same

Sorry ✨

I NEED HELP BAD and none ever answers my question I will give brainiest and everything HEEEEEELLLLLP!!!

Answers

Answer:

You didn't put a picture to fit your question.

Step-by-step explanation:

Is this intentional?

Answer:

but where is question??????????????

Find the Fourier transform for a signal that has a Laplace transform (LT) given by
() = &
'"( , {} > −3
Q6. (4 marks)
Find the inverse Laplace transform (LT) of () = &
'"( , {} < −3

Answers

The Fourier transform of a function with a Laplace transform can be obtained by substituting s = jw into the Laplace transform expression and applying some algebraic manipulation.

Given () = exp(-3s), we substitute s = jw:

() = exp(-3jw)

To obtain the Fourier transform F(w), we divide both sides by 2π and multiply by the complex conjugate of the denominator:

F(w) = 1/(jw + 3)

This is the Fourier transform of the signal.

For the inverse Laplace transform, we can use the property that the inverse Laplace transform of 1/(s + a) is the exponential function exp(-at).

Therefore, the inverse Laplace transform of () = 1/(s + 3) is f(t) = exp(-3t).

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Pls, HELP ASAP!!!!!!!!!!!!!!!!!
The locations of student desks are mapped using a coordinate plane where the origin represents the center of the classroom. Maria's desk is located at (5, −1), and Monique's desk is located at (−2, 4). If each unit represents 1 foot, what is the distance from Maria's desk to Monique's desk?

square root of 10 feet
square root of 72 feet
square root of 74 feet
square root of 100 feet

Answers

Answer: it’s the square root of 10

Step-by-step explanation: I took this test

Answer:\(\sqrt{74}\)

Step-by-step explanation:

Chipwich Summer Camp surveyed 100 campers to determine which lake activity was their favorite. The results are given in the table.


Lake Activity Number of Campers
Kayaking 15
Wakeboarding 11
Windsurfing 7
Waterskiing 13
Paddleboarding 54


If a circle graph was constructed from the results, which lake activity has a central angle of 46.8°?
Kayaking
Wakeboarding
Waterskiing
Paddleboarding

Answers

The lake activity with central angle of 46.8° is Waterskiing. The Option C.

Which lake activity has a central angle of 46.8°?

The total number of campers surveyed is 100.

The percentage of campers for each activity is as follows:

Kayaking: 15%Wakeboarding: 11%Windsurfing: 7%Waterskiing: 13%Paddleboarding: 54%

To calculate the central angle for each activity, we can use the formula: \(Central angle = Percentage * 360°\)

Kayaking:

= 15% * 360°

= 54°

Wakeboarding:

= 11% * 360°

= 39.6°

Windsurfing:

= 7% * 360°

= 25.2°

Waterskiing:

= 13% * 360°

= 46.8°

Paddleboarding:

= 54% * 360°

= 194.4°

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Maria donates a fixed amount, a, to a charity each month. If she donates $300 in 12 months, what is the equation for a? A. a + 300 = 12 B. a × 300 = 12 C. a × 12 = 300 D. a + 12 = 300 E. a + 32 = 100

Answers

Answer:

a times 12=300

Step-by-step explanation:

donated each month a should be 25. $25 times 12 equals 300

Answer:

C.  

a × 12 = 300

Step-by-step explanation:

match each terminology with its corresponding definition prompt 1producer surplus answer for prompt 1 producer surplus the point where the supply and demand curve intersect each other. prompt 2equilibrium answer for prompt 2 equilibrium the point where the supply and demand curve intersect each other. prompt 3consumer surplus answer for prompt 3 consumer surplus prompt 4the total energy used answer for prompt 4 the total energy used

Answers

Answer: A) The profit made by producers when the market price is greater than the minimum price they are willing to sell the product for.

Answer: B) The point at which the supply and demand curves intersect, indicating that supply and demand are equal.

Answer: C) The difference between the amount consumers are willing to pay for a good or service and the actual price they pay.

Answer: D) The amount of energy consumed by a system or a product.

The match between the terminology and the definition is given below:

Prompt 1: Producer Surplus

The difference between the price a producer receives for a good and the minimum price they would be willing to accept for that good.

Prompt 2: Equilibrium

The point where the supply and demand curves intersect each other, determining the market price and quantity of a good or service.

Prompt 3: Consumer Surplus

The difference between the maximum price a consumer is willing to pay for a good or service and the actual price they pay.

Prompt 4: Total Energy Used

The amount of energy consumed by a system or a product i.e., The sum of all energy used in a given system or process.

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need help solving the equation, trying to figure whether I multiply or divide.​

need help solving the equation, trying to figure whether I multiply or divide.

Answers

Answer:

m∠B = 43°

b = 26.1

c = 38.3

Step-by-step explanation:

By applying triangle sum in the given triangle,

47° + 90° + m∠B = 180°

137° + m∠B = 180°

m∠B = 43°

By applying sine ratio to the angle measuring 47°.

sin(47°) = \(\frac{\text{Opposite side}}{\text{Hypotenuse}}\)

            = \(\frac{28}{c}\)

c = \(\frac{28}{\text{sin}(47^{\circ})}\)

c = 38.28

c ≈ 38.3

By applying cosine rule,

cos(47°) = \(\frac{\text{Adjacent side}}{\text{Hypotenuse}}\)

             = \(\frac{b}{c}\)

             = \(\frac{b}{38.3}\)

b = 38.3[cos(47°)]

b = 26.1


Solve 47 = -3 + 8y.

Answers

Answer:

Answer is y = 25/4

a rectangle is drawn so the width is 49 inches longer than the height. if the rectangle's diagonal measurement is 61 inches, find the height.

Answers

Refer to the attachment for figure:

The height of the rectangle = 11 inches

What is rectangle?

A rectangle is a type of quadrilateral with parallel sides equal to each other and four equal 90-degree vertices. Because of this, it is also known as an equiangular quadrilateral. Because the opposite sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.

Let x= height

Width becomes x+49

Diagonal BD=61 inches

By pythagoras theorem,

BD²=BC²+CD²

61²= (x+49)²+x²

3721=x²+98x+2401+x²

On simplification,

x²+49x-660=0

Find the factors

(x+60)(x-11)=0

x=-60, x=11

Consider positive value for height

height = 11 inches

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a rectangle is drawn so the width is 49 inches longer than the height. if the rectangle's diagonal measurement

can someone please help me graph this ? not rlly sure

can someone please help me graph this ? not rlly sure

Answers

The graph of the given equation is attached below.

Plotting a line graph

The equation of a line in slope-intercept form is expressed as y = mx + b.

Given an xy plane, we are to plot the graph of the given equation

y = -2/3 x + 1

The given equation has a slope of -2/3 and a y-intercept of 1. This shows that the constructed line must cut the y-axis at the point (0, 1).

The graph of the equation is attached below.

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can someone please help me graph this ? not rlly sure

Help? This 9th grade math

Help? This 9th grade math

Answers

Answer:

x = 47 degrees

Step-by-step explanation:

ok so the 2 lines m and n are parallel while going through line t

so since this is true

x is the same as the corresponding angle which is 47 degrees

x = 47 degrees

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(1 point)The electrons in the bond are shared between two atoms.The electrons in the bond are shared between two ions.The bond results from the attractive forces of two similar charges.The bond results from the attractive forces of two opposite charges.OsSendPrintFaxRecordLockDetailsScanTemplatesClain Four friends played darts last weekend. The table below shows the number of times that each friend hit the bulls-eye and the total number of darts that each friend threw.Friend's Name Bulls-eyes Darts ThrownAustin 9 45Aaron 8 20Carey 8 10Becky 21 35Who had the greatest ratio of bulls-eyes to darts thrown? A. Becky B. Aaron C. Carey D. Austin Entrepreneurship and free enterprise played a role in the development of big businesses during the Gilded Age by according to the basic irr rule, we should blank______ a project if the irr is blank______ than the discount rate. Drag each tile to the correct location on the table.Determine whether each sentence has correct parallel structure or faulty parallel structure.The warehouse workers processorder requests, completingdelivery by truck, and haveto load the delivery truck.The warehouse supervisor takesinventory, coordinates deliveries,and ensures shipment.Studies show that both teenagersand adults use social media sitesto communicate with friends.Studies show the application hasbenefits like ease of use, low price,and doesn't take much disk space.Correct Parallel StructureFaulty Parallel Structure Solve for x: 2x + 5 < 7 A:) x > 1B:) x < 1C:) x > 6D:) x < 6Please answer ASAP :] A binary search algorithm uses a loop to step through an array, starting with the first element? what is the correct order of empire steps The CSS box model describes how the parts of a CSS box fit together and the size of the box. What is the actual width of the following box's visible part under the standard box model? box {width: 200px; padding: 10px; margin: 0 15px; border: 2px 5px;}230px220px200px260px Which did the Monroe Doctrine declare about the United States? It would oppose European attempts to colonize nations. It would encourage European attempts to colonize nations. It would take control of existing European colonies. It would interfere in European conflicts. A certain bookstore chain has two stores, one in San Francisco and one in Los Angeles. It stocks three kinds of books: hardcover, softcover, and plastic (for infants). At the beginning of January, the central computer showed the following books in stock. Hard Soft PlasticSan Francisco 1,000 2,000 6,000Los Angeles 1,000 6,000 2,000Its sales in January were as follows: 600 hardcover books, 1,200 softcover books, and 1,900 plastic books sold in San Francisco, and 300 hardcover, 200 softcover, and 400 plastic books sold in Los Angeles. The bookstore chain actually maintained the same sales figures for the first 6 months of the year. Each month, the chain restocked the stores from its warehouse by shipping 500 hardcover, 1,400 softcover, and 1,400 plastic books to San Francisco and 600 hardcover, 600 softcover, and 600 plastic books to Los Angeles.(a) Use matrix operations to determine the total sales over the 6 months, broken down by store and type of book.Hard Soft PlasticSan Francisco Los Angeles (b) Use matrix operations to determine the inventory in each store at the end of June.Hard Soft PlasticSan Francisco Los Angeles AREA OF A CIRCLEr=3 cm For each proof, you must include (i.e., write) the premises in that proof. I do not want to see any proofs without premises. YOU CANNOT USE CONDITIONAL PROOF (CP) OR INDIRECT PROOF (IP). Additionally, use only the 18 rules of inference found in the text and in the notes. You will lose points if you use the inference rules Resolution, Contradiction, Transposition, Idempotence or Identity. .Sergei is training to be a weightlifter. Each day he trains at the local gym by lifting a metal bar that has heavy weights attached. He carries out successive lifts. After each lift, the same amount of weight is added to the bar to increase the weight to be lifted. The weights of each of Sergei's lifts form an arithmetic sequence. Sergei's friend, Yuri, records the weight of each lift. Unfortunately, last Monday, Yuri misplaced all but two of the recordings of Sergei's lifts. On that day, Sergei lifted 21 kg on the third lift and 46 kg on the eighth lift. (a) For that day (i) find how much weight was added after each lift; (ii) find the weight of Sergei's first lift. [4] On that day, Sergei made 12 successive lifts. (b) Find the total combined weight of these lifts. Read the excerpt from "The Straw, the Coal, and the Bean.The bean, who had prudently stayed behind on the shore, could not but laugh at the event, was unable to stop, and laughed so heartily that she burst. It would have been all over with her, likewise, if, by good fortune, a tailor who was travelling in search of work had not sat down to rest by the brook.As he had a compassionate heart he pulled out his needle and thread, and sewed her together. The bean thanked him most prettily, but as the tailor used black thread, all beans since then have a black seam.Which statement most accurately explains the structure of this passage?The author builds up to the most important idea in the story, which is that the bean lives.The author uses chronological order to show the history of the bean's experiences.The author uses cause and effect to show that the tailor's repair causes the bean to have a black line.The author uses problem and solution to show how the tailor solves the bean's problem of having exploded..