albert measured a house and its lot and made a scale drawing. the house's driveway is 3 inches wide in the drawing. the actual driveway is 15 feet wide. what is the scale of the drawing?

Separate the variables.

[tex]\dfrac{dy}{dx} = x (x - 3) \implies dy = x (x - 3) \, dx[/tex]

Expand the right side.

[tex]dy = (x^2 - 3x) \, dx[/tex]

Integrate both sides. On the right side, use the power rule on each term.

[tex]\displaystyle \int dy = \int (x^2 - 3x) \, dx \implies y = \frac{x^3}3 - \frac{3x^2}2 + C[/tex]

Given that [tex]y=3[/tex] when [tex]x=2[/tex], solve for [tex]C[/tex].

[tex]3 = \dfrac{2^3}3 - \dfrac{3\cdot2^2}2 + C \implies C = \dfrac{19}3[/tex]

Then the particular solution is

[tex]\boxed{y = \dfrac{x^3}3 - \dfrac{3x^2}2 + \dfrac{19}3}[/tex]

By using scientific notation we calculated (2.3[tex]\times[/tex]10⁵)(1.5 [tex]\times[/tex]10⁴) we got 345 [tex]\times[/tex]10⁷.

Given that,

(2.3[tex]\times[/tex]10⁵)(1.5 [tex]\times[/tex]10⁴)

By using scientific notation

The scientific notation allows us to express extremely large or extremely small numbers by multiplying them by single-digit integers and by 10 raised to the power of the corresponding exponent. The exponent is either positive or negative depending on how big or little the number is.

Now, we calculate

(2.3[tex]\times[/tex]10⁵)=2.5[tex]\times[/tex]100000=230000

(1.5 [tex]\times[/tex]10⁴)=1.5[tex]\times[/tex]10000=15000

Now,

=230000[tex]\times[/tex]15000

=3450000000

=345 [tex]\times[/tex]10⁷

Therefore, By using scientific notation we calculated (2.3[tex]\times[/tex]10⁵)(1.5 [tex]\times[/tex]10⁴) we got 345 [tex]\times[/tex]10⁷.

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If yacht is sailed from A to B on a bearing of 196ºT, the true bearing to sail directly back to point A from point B is 16° T.

To determine the true bearing from point B back to point A, we need to consider the relationship between true bearings and the reciprocal direction.

Given that the yacht is sailed from point A to point B on a bearing of 196° T (True), the reciprocal direction would be the opposite direction, 180° away on the compass.

Thus, to sail directly back to point A from point B, we would need to subtract 180° from the reciprocal direction.

Reciprocal direction - 180°

Therefore, the true bearing from point B back to point A would be:

196° T - 180° = 16° T

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The probability of selecting a 5 and the coin landing on head is 1/26

In this question, a card is drawn at random from a standard pack of playing cards and fair coin is flipped.

Here, we have two different sample spaces to work with and we want to calculate a compound probability.

Firstly in a deck of cards which contain a total of 52 cards, there are 4 cards labeled 5.

So, the probability of selecting a 5 is:

4/52 = 1/13

Also, in a flip of coin the probability of the coin landing on head is 1/2

Thus the probability of selecting a 5 and the coin landing on head would be,

probability of selecting 5 × probability of the coins landing on head

= 1/13 × 1/2

= 1/26

Therefore, the probability of selecting a 5 and the coin landing on head is 1/26

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To solve the equation, subtract 2 from both sides. The solution is n = -13.

A linear equation is an equation of which the highest degree of its variables is 1.

Steps to solve linear equations:

Recall that if  we subtract or add the same number to both sides of an equation, it does not change the equality.

The given problem:

Solve n+2=-11

The variable is n. Isolate n by subtracting 2 from both sides:

n+2 - 2 = -11 - 2

n = -13 (solved)

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Answer

Domain: 1 < x < 5

Range: -10 < y < 2

Step-by-step explanation

First, we need to graph the function. The function is just a linear function, but arranged differently. You can rearrange it to be:

[tex]f(x) = -3x + 5[/tex]

Now graph the function. The slope of it should be -3, and the y-intercept is 5.

To find the domain, just use the relation of the x values given with the function (1 < x < 5).

To find the range, plug the smallest and largest values of the domain into the function given. 1 and 5 should be the numbers you are plugging in. The outputs will be the range. Remember that negative numbers are smaller than positive numbers, so the negative number should be on the left.

Answer:

563$ and me for some change

Step-by-step explanation:

Answer:

3/4 is greater

Step-by-step explanation:

If you change them both into decimals.  You can see that 3/4 is larger

3/4 = .75

11/16 = .6875

Put in your calculator 3÷4 and 11÷16

Answer:

3/4 is larger because

[tex]\frac{3}{4}[/tex]*[tex]\frac{4}{4}[/tex]=[tex]\frac{12}{16}[/tex]                              [tex]\frac{12}{16}[/tex] > [tex]\frac{11}{16}[/tex]

Step-by-step explanation:

When making the denominators equal it is clear to see that 3/4 which is equal to 12/16 is greater than 11/16.

Observational Evidence type of evidence is needed for a hypothesis to be supported or not supported.

Hypothesis:

Hypothesis is a statement which can be proved or disproved. It is a statement capable of being tested. Based on the results of the test case, we have identified the type of it.

Given,

Here we needed to find the type of evidence is needed for a hypothesis to be supported or not supported.

Observational Evidence type of evidence is needed for a hypothesis to be supported or not supported.

Observational evidence is ones where researchers observe the effect of a risk factor, diagnostic test, treatment or other intervention without trying to change who is or isn't exposed to it.

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Number of [tex]3\frac{7}{8}[/tex] inches length wire that can be cut from 25ft roll is 77

Given,

The total length of the roll =25 foot

Length of each wire = [tex]3\frac{7}{8}[/tex] inches

First we have to convert mixed fraction to simple fraction

[tex]3\frac{7}{8}=\frac{31}{8}[/tex] inches

Convert foot to inches

25 foot = 25×12 =300 inches

Number of [tex]3\frac{7}{8}[/tex] inches length wire that can be cut from 25ft roll = Total length of the roll/ Length of each wire

=300÷[tex]\frac{31}{8}[/tex]

=77.41

≈77

Hence, the number of [tex]3\frac{7}{8}[/tex] inches length wire that can be cut from 25ft roll is 77

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The ounces of cat food she will feed her cat in 4 weeks is 54.4 oz

The given parameters are

1 oz = 28.3 g

1 day = 55 g

For 4 weeks, the amount would be

1 * 7 * 4 days = 55 g * 4

So, we have

28 days = 1540 g

Rewrite as

4 weeks =1540 g

Recall that 1 oz = 28.3 g

So, we have:

4 weeks = 54.4 oz

Hence, the ounces of cat food will she feed her cat in 4 weeks is 54.4 oz

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In linear equation , x = 36 is the total cost, y, depends on the number of students going, x.

What in mathematics is a linear equation?

Tickets cost  for the club adviser =  $21.25

cost for each student who goes = $14.75

Based on the given conditions, formulate x = $21.25 + $14.75

Calculate the sum or difference x = 36

get the result x = 36

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Answer:

a. -11, 97, 6, 87

b. he didn't get over it

Step-by-step explanation:

a. The table shows you the grade in the upper row and in the lower row difference between upper row and 90. So to calculate lower row you need to do X-90 where X is upper row value. To calculate upper row you need to do X+90 where X is lower row value

so you get column 3:

79-90=-11

column 4:

90+7=97

column 5:

96-90=6

column 6:

-3+90=90-3=87

b. To answer this question we would need to simply sum all the values from the Above/Below row for all 6 columns:

-7+4+(-11)+7+6+(-3)= -7+4-11+7+6-3=-4. Since the value is negative it means it's below 90

x = 74 degrees is the angle

Let x = the angle

then

(180-x) is the supplement of x

and

(90-x) is the complement of x:

"The supplement of an angle is 26 more than 5 times its complement."

(180-x) = 26 + 5(90-x)

180 - x = 26 + 450 - 5x

-x + 5x = 26 + 450 - 180

4x = 296

x = [tex]\frac{296}{4}[/tex]

x = 74 degrees is the angle

5 times its complement.

(180-74) = 26 + 5(90-74)

106 = 26 + 5*(16)

106 = 26 + 80; confirms our solution

In  elementary geometry , an angle  is that the  figure formed by two rays, called  the edges  of the angle, sharing  a standard  endpoint, called the vertex of the angle. Angles formed by two rays  dwell  the plane that contains the rays. Angles also are  formed by the intersection of two planes. These are called dihedral angles. Two intersecting curves  can also  define an angle, which  is that the  angle of the rays lying tangent to the respective curves at their point of intersection.

Angle is additionally  used to designate the measure of an angle or of a rotation. This measure  is that the  ratio of the length of a circular arc to its radius.  within the  case of a geometric angle, the arc is centered at the vertex and delimited by  the edges .  within the  case of a rotation, the arc is centered at  the middle  of the rotation and delimited by any other point and its image by the rotation.

Potentially, an angle denoted as, say, ∠BAC, might  ask  any of four angles: the clockwise angle from B to C, the anticlockwise angle from B to C, the clockwise angle from C to B, or the anticlockwise angle from C to B, where the direction  during which  the angle is measured determines its sign (see Positive and negative angles).

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The triangle with vertices located at R(-6 , 4), S(-2 , -2), T(2 , 4) has its centroid located at (-2 , 2).

The centroid of a triangle is the point inside the triangle where the three medians intersect. The median of a triangle is the line the connects the midpoint of a side and the opposite vertex.

To get the centroid of a triangle, use the formula given by:

C(x , y) = [(x1 + x2 + x3)/3 , (y1 + y2 + y3)/3]

where C is the centroid of the triangle located at (x , y)

x1, x2, and x3 are the x-coordinate of the vertices of the triangle

y1, y2, and y3 are the y-coordinate of the vertices of the triangle

Let Point 1(x1 , y1) = R(-6 , 4)

Point 2(x2 , y2) = S(-2 , -2)

Point 3(x3 , y3) = T(2 , 4)

Plug in the values in the formula.

C(x , y) = [(x1 + x2 + x3)/3 , (y1 + y2 + y3)/3]

C(x ,y) = [(-6 + -2 + 2)/3 , (4 + -2 + 4)/3]

C(x ,y) = (-6/3 , 6/3)

C(x ,y) = (-2 , 2)

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Answer:

u has position brobjdidiodd

Using it's concept, the skew lines to segment BF are given as follows:

CD, GH, AC, and EG.

Skew lines are lines that share these two features:

For this problem, the parallel lines to BF are:

CG, AE and DH.

The intersecting lines with BF are:

AB, BD, HF, and EF.

Hence the skew lines are:

CD, GH, AC, and EG.

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Answer:

1.D

2.C

Step-by-step explanation:

1. 25 meter - 8 meter = 17 meter

17 meter + 3 meter = 20 meter

2. 2 × 6 = 12

30 - 12 = 18

Answer:

Step-by-step explanation:

Work for 30 hours in a week $10 per hour

The domain and the range for the given situation will be:

Domain = [0, 30]

Range = [0, 300]

Given that Josie earns $10 per hour at her job. Her hours vary, but she never works more than 30 hours in any given week,

We need to find the domain and range.

In this situation, the domain refers to the possible values for the input variable, which is the number of hours Josie works in a given week.

The range, on the other hand, refers to the possible values for the output variable, which is her earnings for the week.

For the domain:

Since Josie never works more than 30 hours in any given week, a reasonable domain for this function would be from 0 to 30 hours. We don't consider negative hours (as it doesn't make sense in this context), and the upper limit is set by her maximum weekly working hours.

Domain = [0, 30]

For the range:

The range should be the possible earnings Josie can make in a week based on her hourly rate of $10 per hour.

To find the range, we multiply her hourly rate by the maximum number of hours she can work in a week, which is 30 hours.

Range = [0, 10 x 30] = [0, 300]

So, the function that represents Josie's possible earnings for one week is:

Earnings = f(hours) = 10 x hours

Where "hours" is the number of hours she works in a week, and "Earnings" is the corresponding amount she earns.

The graph of this function will be a straight line passing through the origin (0, 0) and with a slope of 10, representing her earnings increasing linearly with the number of hours worked.

The line will extend up to the point (30, 300) and then flatten out as she cannot earn more than $300 in a week.

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Answer:

1/5

Step-by-step explanation:

because 3/15

Hey there!

(11 - 8)/(1 + 7 * 2)

= (3)/(1 + 14)

= 3/15

≈ 3 ÷ 3 / 15 ÷ 3

≈ 1/5

≈ 0.2

Therefore, your answer should be:

1/5 or 3/15

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The feet that he descended in 8 hours will be 135168 feet.

From the information, it was stated that the the hiker hikes at a rate of 3.2 miles per hour.

Therefore, the number of miles after 8 hours will be:

= 8 × 3.2

= 25.6 miles

It should be noted that 1 mile = 5280 foot

Therefore, this will be:

= 25.6 × 5280

= 135168 feet

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answer:

a. $5.49

explanation:

1.5 yd x $7.32 = $10.98

$10.98/ 2 people = $5.49

Answer: A. $5.49

Step-by-step explanation:answer:

explanation:

1.5 yd x $7.32 = $10.98

$10.98/ 2 people = $5.49

Therefore, the 90% confidence interval for the mean repair cost for the VCRs is ($82.40,$90.12).

Subject to the exclusions outlined in this clause, the repair cost is defined as the cost of the parts and labor required to fix or replace any covered component as a result of a covered mechanical breakdown. We reserve the right to substitute components of comparable sort and quality, whether they are new, OEM, swapped, rebuilt, remanufactured, or used. The suggested retail price of a part of a like type and quality, or the manufacturer's indicated retail price for Your Vehicle, whichever is higher, may not be exceeded when pricing out parts. A current, widely used flat-rate labor guide will be used to calculate labor costs. According to state-specific rules, the Repair Cost includes the necessary taxes related to the covered Mechanical Breakdown.

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Step-by-step explanation:

Multiple the ratio by Nile river distance

The cost of one hamburger and one hot dog = $10.4 and $7.25.

a connection between two or more factors that results in a linear model when displayed on a graph. The variable will have a degree of one.

Y = mx + c is the linear equation.

where the line's y-intercept is represented by c and its m-slope by a slope.

x + y = 17.65                     ...(1)

22x + 39y = 511.55          ...(2)

22(17.65 - y) + 39y = 511.55

388.3 - 22y + 39y = 511.55

17y = 123.25

y = $7.25

x + 7.25 = 17.65

x = 17.65 - 7.25

x = $10.40

The cost of the hamburger and hot dog will be $10.4 and $7.25

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Answer: x = 21

Step-by-step explanation:

13/39 = 7/x

13/39 = 1/3 (divide each side by 13)

1/3=7/x

1/3=7/21 (multiply the numerator by 3 to get the denominator)

Answer:

Umm where is the question my dude

To determine customer opinion of their musical variety, sony randomly selects 120 concerts during a certain week and surveys all concertgoers. The type of sampling is used is "Cluster."

A survey is a technique of gathering information from a sample of people by asking relevant questions with the goal of understanding populations as a whole.

Some key features regarding the survey are-

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