The number 41,849 written to 4 significant figures is?

Answer:

The motorist's rate is:

rate = distance / time

where distance is measured in kilometers and time is measured in hours.

We are given that the motorist travels 228 kilometers in 6 hours, so we can use this information to find the rate:

rate = distance / time = 228 km / 6 hours = 38 km/hour

To find how long it will take the motorist to travel an additional 247 kilometers at this rate, we can use the same formula and solve for time:

time = distance / rate = 247 km / 38 km/hour ≈ 6.5 hours

Therefore, it will take the motorist approximately 6.5 hours to travel an additional 247 kilometers at the same rate of 38 km/hour.

9514 1404 393

Answer:

  shade the entire number line and put arrows at each end

Step-by-step explanation:

Solve for x.

  9x +11 > 3(x +4) -12 +6x

  9x +11 > 3x +12 -12 +6x . . . . eliminate parentheses

  9x +11 > 9x . . . . . collect terms

  11 > 0 . . . . . . . . .  subtract 9x

This is true for all values of x.

The graph would be the entire number line.

Answer: The percentage of people surveyed who liked blue cars is 50%.

Step-by-step explanation:

Total number of people partaking in survey= 36

number of people who like blue cars= 18

therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)

hence, percentage of people who liked blue cars= (18/36)*100 %

                                                                                  = 50%  

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Answer:

Percentage of people who like blue-coloured cars is 50%

Number of people who were surveyed=36

Number of people who like blue-colored cars=18

Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100

=(18/36)*100

=50%

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Part 1: The polynomial that represents the area of the hot tub = x² ft²; pool = (12x²-60x+75)ft² ; patio =.

Part 2: Cost of hot tub= $320; pool=$2541; patio = $104

To determine the area of the hot tub, pool and patio is carried out using the formula for the area of rectangle. That is; Area of rectangle = length× width

length = X ft

width = X ft

area = x² ft²

length = (6x-15) ft

width = (2x-5) ft

area = 6x -15× 2x-5

= 12x²-30x-30x+75

= (12x²-60x+75)ft²

length= (10x-12) ft

width = 2 +(2x-5)

= (2x-3) ft²

The cost of hot tub, pool and patio when X= 8 would be as follows:

area = x²

X = 8

area = 64ft²

But 1 ft² = 5$

64 ft² = ?

cost of hot hub = 64×5 = $320

area = (12x²-60x+75)ft²

where X = 8

area = 12(8)²-60(8)+75

= 768-480+75

= 363ft²

But 1 ft² = $7

363ft² = ?

cost of the pool = 363×7 =$2541

Area = (2x-3) ft²

X = 8

area = 2(8)-3

= 13ft

But 1 ft² = $8

. 13ft² = ?

Cost of patio = 13×8 = $104

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The landing space per step for the indoor staircase is solved to be

The vertical rise from first floor to second floor is 14 feet

The figure defined to be a right triangle and the dimensions are worked using SOH CAH TOA

Sin = opposite / hypotenuse - SOH

Cos = adjacent / hypotenuse - CAH

Tan = opposite / adjacent - TOA

The right angle triangle comprises of

opposite = total vertical height

adjacent = total horizontal height = 13 feet

The total vertical height is calculated using tan, TOA

let the angle be x

tan x = opposite / adjacent

tan 47 = opposite / 13

opposite = (13 * tan 47) feet

opposite = 12 * (13 * tan 47) inch

opposite = 167.2895 inch

For a 14 inch vertical rise per step say number of step is y

14 y = total vertical height

14 y = 167.2895

y = 11.9493 steps ≈ 12 steps

The landing space for 12 steps is solved by

= horizontal space total in inch / number of steps

= 13 * 12 / 12

= 13 inches

vertical rise from the 1st floor to the 2nd floor

opposite = (13 * tan 47) feet

opposite = 13.94 feet

opposite = 14 feet (to the nearest foot)

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Answer:

1600. Because 20/4is 5 so there is 5time doubling so

first time 50 to 100

second time 100 to 200

third 200to400

fourth 400to 800

fifth 800to 1600.

In 20 years the number of Acromantula will be 1600 if the number of Acromantula is doubling in every 4 years.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given, the number of Acromantula doubles in every 4 years.

Also given that, There are 50 Acromantula in the forest.

In 4 years, the number of Acromantula wil be double of 50 i.e., 100

In 8 years, the number of Acromantula will be double of 100 i.e., 200

In 12 years, the number of Acromantula will be double of 200 i.e., 400

In 16 years, the number of Acromantula will be double of 400 i.e., 800

In 20 years, the number of Acromantula will be double of 800 i.e., 1600

Hence, In 20 years the number of Acromantula will be 1600

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The table of w = t + 11.2 is:

t     w

0    11.2

1     12.2

2    13.2

3    14.2

4    15.2

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

w = t + 11.2

The table can be calculated as,

When t = 1, w = 1 + 11.2 = 12.2

When t = 2, w = 2 + 11.2 = 13.2

When t = 3, w = 3 + 11.2 = 14.2

When t = 4, w = 15.2

So on..

Thus,

t     w

0    11.2

1     12.2

2    13.2

3    14.2

4    15.2

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Answer:

$3.20/gallon

Step-by-step explanation:

to fill up your tank at $3.20/gallon only costs $38.40

Step-by-step explanation:

First, 40 percent of 1250 = 750

20 percent of 750 = 600

I don't know if this is correct I just did what my mind said sooo

Answer:

$0.64 per cup

Step-by-step explanation:

There are 16 cups in 1 gallon, so the number of cups in 2 gallons is:

1 gallon: 16 cups

2 gallon = 2 x 1 gallon = 2 x 16 cups = 32 cups

So we need to find the price of each cup:

1 cup = ($20.48 / 32 cups) = $0.64 per cup.

Answer:

42 units

Step-by-step explanation:

Area of a trapezoid is always 1/2(b1+b2)*h

so here base 1 is 4 units, and base 2 is 10 units. When we add these we get 14, divided by 2 which is 7, and multiplied by height of 6, which is 42

Answer:

f=24

Step-by-step explanation:

3 = f/6 - 1

Multiply both sides of the equation by 6.

18=f−6

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

f−6=18

Add 6 to both sides.

f=18+6

Add 18 and 6 to get 24.

f=24

Answer:

-6 and -4.

Step-by-step explanation:

- 6 + - 4 = - 6 - 4 = -10.

- 6 times - 4 = 24, because multiplying 2 negatives gives you a positive.

A good way to approach these is to find the factors of 24.

Your answer is: -6 and -4.

25. doubled

26. doubled

27. increases 4 times

28. remains unchanged

29. increases 6 times

Answer:

Kevin is at (3, 14) or the Basketball court.

Step-by-step explanation:

14 - 11 = 3 & 5 + 9 = 14

good luck, i hope this helps :)

F(x) = 2x³ - x² + 5x − 3 is the polynomial that is in standard form. Thus, option D is correct.

Algebraic expressions called polynomials can include exponents that are multiplied, divided, or added. Different types of polynomials exist. specifically, monomial, binomial, and trinomial. A polynomial with only one term is referred to as a monomial. A polynomial with two unlike terms is referred to as a binomial. An algebraic expression with three terms is known as a trinomial.

Monomials - The term "monomial" refers to algebraic expressions with a single term. In other words, it is an expression that includes any number of similar terms. Hence the name "Bi"nomial," binomials are algebraic expressions with two unlike terms. Trinomials - Trinomials are algebraic expressions with three dissimilar terms, hence the name "Tri"nomial.

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The distance between the tops of the buildings is 28.5 meters.

To find the distance between the top of the buildings, we can use the concept of similar triangles.

Let's denote the height of the shorter building as "a" (12 m) and the height of the taller building as "b" (19 m). The distance between the buildings can be denoted as "c" (18 m), and the distance between the top of the buildings as "x" (which we need to find).

We can set up a proportion based on the similar triangles formed by the buildings:

a/c = b/x

Substituting the known values:

12/18 = 19/x

To find "x," we can cross-multiply and solve for "x":

12x = 18 * 19

12x = 342

x = 342/12

x = 28.5 m

Therefore, the distance between the tops of the buildings is 28.5 meters.

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Answer:

Intersecting (fourth answer choice)

Step-by-step explanation:

First, let's convert both lines to slope-intercept form, whose general equation is y = mx + b, where

Converting y - 3x = 4x to slope-intercept form:

(y - 3x = 4x) + 3x

y = 7x

Thus, the slope of this line is 7 and the y-intercept is 0.

Converting 6 - 2y = 8x to slope-intercept form:

(6 - 2y = 8x) - 6

(-2y = 8x - 6) / -2

y = -4x + 3

Thus, the slope of this line is -4 and the y-intercept is 3.

Checking if y = 7x and y = -4x + 3 are perpendicular lines:

We can show this in the following formula:

m2 = -1 / m1, where

Thus, we only have to plug in one of the slopes for m1.  Let's do -4.  

m2 = -1 / -4

m2 = 1/4

Thus, the slopes 7 and -4 are not negative reciprocals of each other so the two lines are not perpendicular.

 Checking if y = 7x and y = -4x + 3 are parallel lines:

The slopes of parallel lines are equal to each other.

Because 7 and -4 are not equal, the two lines are not parallel.

Checking if the lines intersect:

Method to solve the system:  Elimination:

We can multiply the first equation by -1 and keep the second equation the same, which will allow us to:

-1 (y = 7x)

-y = -7x

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

    -y = -7x

+

    y = -4x + 3

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

(0 = -11x + 3) - 3

(-3 = -11x) / 11

3/11 = x

Now we can plug in 3/11 for x in y = 7x to find y:

y = 7(3/11)

y = 21/11

Thus, x = 3/11 and y = 21/11

We can check our answers by plugging in 3/11 for x 21/11 for y in both y = 7x and y = -4x + 3.  If we get the same answer on both sides of the equation for both equations, the lines intersect:

Checking solutions (x = 3/11 and y = 21/11) for y = 7x:

21/11 = 7(3/11)

21/11 = 21/11

Checking solutions (x = 3/11 and y = 21/11) for y = -4x + 3:

21/11 = -4(3/11) + 3

21/11 = -12/11 + (3 * 11/11)

21/11 = -12/11 + 33/11

21/11 = 21/11

Thus, the lines y = 3x = 4x and 6 - 2y = 8x are intersecting lines (the first answer choice).

This also means that lines are not skew since lines had to be neither perpendicular nor parallel nor intersecting to be skew.

Answer:

27 Units^2

Step-by-step explanation:

Split it up into sections, attached below are 3 different sections.

Section 1:

5*3=15

Section 2:

2*4=8

Section 3:

4*2/2 = 4

Add all the sections together:

15+8+4 = 27 Units^2

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The set (A U B) n (A U C) is {2, 5, 7, 10}. A.

To find the set (A U B) n (A U C), we first need to calculate the union of sets A and B, and then calculate the union of that result with set C. Finally, we find the intersection of these two sets.

Set A U B:

The union of sets A and B, denoted as A U B, is the combination of all elements from both sets without any repetitions.

A contains the elements 2, 5, 7, and 10, while B contains the elements 1, 2, and 3.

A U B consists of the elements {1, 2, 3, 5, 7, 10}.

Set (A U B) U C:

Next, we calculate the union of the set (A U B) with set C, denoted as (A U B) U C. A U B contains the elements {1, 2, 3, 5, 7, 10} and C contains the elements {1, 2, 3, 4, 5}.

Taking the union of these two sets results in {1, 2, 3, 4, 5, 7, 10}.

Finding the intersection:

Finally, we find the intersection of (A U B) U C with A U C. A U C consists of the elements {2, 5, 7, 10}.

The intersection of these two sets is the combination of common elements.

The common elements are {2, 5, 7, 10}.

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Answer:

20 m

Step-by-step explanation:

Given that :

Scale of 1 : 50 is used to make a model

If the model has a height of 40 cm ; the height of the house is:

Then, the actual height of the house is (40 * 50) = 2000 cm

Thus the height of the house in metre is :

100cm = 1 meter

2000 cm = 2000 / 100

2000 cm = 20 meter

Height of house in meter = 20 meter

Answer:

I don't know

Step-by-step explanation:

I don't know

Answer:

k = 3

Step-by-step explanation:

If the points lie on the same line then the slope between the points will be equal.

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (- 3, 16)

m = \(\frac{16-4}{-3-1}\) = \(\frac{12}{-4}\) = - 3

Repeat the process and equate to - 3

with (x₁, y₁ ) = (1,4) and (x₂, y₂ ) = (k, - 2)

m = \(\frac{-2-4}{k-1}\) = \(\frac{-6}{k-1}\) , then

\(\frac{-6}{k-1}\) = - 3 ( multiply both sides by k - 1 )

- 6 = - 3(k - 1) ← divide both sides by - 3

2 = k - 1 ( add 1 to both sides )

3 = k

Answer:

when x=-9, y=1

Step-by-step explanation:

the graph shows when the x is at -9, the y is at 1

Answer:

4 sessions.

Step-by-step explanation:

He starts with 10 minutes practiced and has to finish his quota in 20 minute sessions, so we can represent that with the equation 90=20x+10. Then solve for x.

90=20x+10

Subtract 10

80=20x

Divide by 20

x=4

It would take 4 sessions.

Answer:

1 10 min session + x 20 min sessions = 90 min

10+20x=90

20x=80

x=4 sessions

Answer:

63 feet

Step-by-step explanation:

Let :

Given

Formula for Area

Solving

The width is : 63 feet

Answer:

6

Step-by-step explanation:

when the imposter is sus

Answer:

The answer is 6

Step-by-step explanation:

You have to add all of them together and then divide the number you get with how many number there are.

The expression that is equal to the given expression is \(-\frac{5g+100}{8}\)

A mathematical expression that uses integer variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, multiplication, division, and exponentiation by a rational exponent).

the given expression is:

\(\frac{3}{4} g -6-\frac{7}{8} g-\frac{1}{2} (g+13)\)

Simplifying the expression we get

\(\frac{6g-48-7g-4g-52}{8} \\\\=-\frac{5g+100}{8}\)

Therefore on simplification using the general operations of fractions and integers we get that the expression is equivalent to \(-\frac{5g+100}{8}\) .

The properties of fractions and expressions are used in this simplification.

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Answer:

5+r=6-r

-5 -5

r=1-r

+r +r

2r=1

÷2 ÷2

r=1/2

Answer:

Step-by-step explanation:

1.       9.50+x=13.50

(x is for the missing amount)

2.       less because the total all together is 13.50 and 9.50 + x = 13.50 so it would have to be less.

3.        i did not do (sorry )

4..          13.50-9.50= 4 (he payed $4 for the baseball

5.  i did not do the last one