Alexander is drawing a map of the Federal Triangle in Washington, D.C. The actual Federal Triangle has a base of 3000feet and height of 1200 feet. Alexander needs his drawing to fit on his paper, so he decides to make the base of his triangle 10 inches.
What scale is Alexander using?

Answer:

$0.59/pound

Step-by-step explanation:

Since there are four pounds you divide $2.36 by 4 to get the unit rate.

Answer:

11 inches

Step-by-step explanation:

The sides of the teacher's model are 110 inches

Henry's model should be 10 times shorter.

110 ÷ 10 = 11

The population in the city in 2020 to the nearest 100 is 235242.65.

The population of the city was 228,000 in the year 2010.

From 2010 to 2015, the population grew by 7.7%.

The population decreases by 4.2 % from 2015 o 2020.

Initially, the population of the city is 228,000.

From 2010 to 2015,

The city's population increased by 7.7%.

7.7% of 228,000 = ( 7.7 / 100) × 228,000 = 17556

The population of the city from 2010 to 2015 = 228,000 + 17556 = 245556

From 2015 to 2020,

Now, the city's population decreases by 4.2%.

4.2% of 245556 = ( 4.2 /100) × 245556 = 10313.352.

Therefore,

The population of the city in the year 2020 = 245556 - 10313.352 = 235242.648

Therefore, the population in the year 2020 to the nearest 100 is 235242.65.

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Answer:

235200

Step-by-step explanation:

Expression as a single natural logarithm of equation ln 18-ln 10 is = 0.5877866649.

ln 18-ln 10

= [tex]ln (18/10)[/tex]

= ln 1.8

= 0.5877866649

The inverse of an exponential function, the natural log is the logarithm to the base of the number e. Natural logarithms are unique varieties of logarithms that are employed in the treatment of time and growth-related issues.

The distinction between log and ln is that log is expressed in terms of base 10, while ln is expressed in terms of base e. As an illustration, log of base 2 is denoted by log2 and log of base e by loge = ln (natural log).

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y = 3x -5 is the equation of the line parallel to the line and going through the point (4,7). The format is slope intercept.

A method of formulating a line's equation that makes it simple to identify the slope and y-intercept is known as the slope-intercept form. The point where the line crosses the y-axis is known as the y-intercept, and the slope refers to how steep the line is.

Using the information provided,

y= 3x – 5

First, we must keep in mind that parallel lines have an equal slope.

In essence,

m1 = m2 if line 1 and 2 are parallel.

Y = mx + c is the slope-intercept form of the equation; y = 3x + 6, which already has this form.

incline of the m1 = 3.

Consequently, m1 = 3 = m2.

The slope of the parallel line, m2 = 3 and the line passes through the point (4,7).

Therefore;

3 = (y - 7)/(x-4)

By cross product;

3x - 12 = y - 7

y = 3x - 5

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Answer:B

Step-by-step explanation:

The number of hours the polls open on the election day was 9 hours

From the question, we are to determine how long the polls opened on the election day

From the given information,

6,504 people vote in the advance polls for a riding prior to the election

and

A total of 10,167 people voted in that riding

Thus,

The number of people that voted on the election day = 10167 - 6504

Number of people that voted on the election day = 3663

Also, from the given information

The polling stations for the riding record an average of 407 voters per hour

Then,

Number of hours the polls open on election day = Number of people that voted on the election day ÷ Average number of voters per hour

Number of hours the polls open on election day = 3663 ÷ 407

Number of hours the polls open on election day = 9 hours

Hence, the number of hours the polls open on the election day was 9 hours

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The largest integer in the set of number is 91

The given parameters are

So, we have

x+(x+2)+(x+4)=267

Open the brackets

x + x + 2 + x + 4 = 267

Evaluate the like terms

3x = 261

Divide both sides by 3

x = 87

Substitute x = 87 in 3rd integer = x+4

3rd integer = 87 + 4

Evaluate

3rd integer = 91

Hence, the largest integer is 91

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The rationalize of all denominators is [tex]40x^{14} y^{20} i[/tex]

We rationalize the denominator to make certain that it will become less complicated to carry out any calculation at the rational number. while we rationalize the denominator in a fraction, then we are eliminating any radical expressions inclusive of rectangular roots and dice roots from the denominator.

The distinction is that denial flat out says there may be no trouble whilst clarification is smarter, it justifies thoughts and behaviors on some different grounds in the try to convince Self and others that these minds and behaviors are not maladaptive, that they may be definitely adaptive.

The rationalize is a disavowal defense mechanism that permits an individual to address emotional conflicts, or inner or external stressors, via devising reassuring or self-serving however incorrect factors for his or her personal or others' mind, actions, or feelings, which cowl up different reasons (Perry 1990).

[tex]5 \sqrt{-64 x^{14} y^{20} }[/tex]

[tex]\sqrt{-64} = i8[/tex]

[tex]5i8x^{14} y^{20}[/tex]

[tex]40ix^{14} y^{20}[/tex]

[tex]40x^{14} iy^{20}[/tex]

= [tex]40x^{14} y^{20} i[/tex]

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After simplifying the radical expression 5 √(-64)  x¹⁴  y²⁰, the result is 40 x¹⁴ y²⁰ i.

We are given the radical expression as:

5 √(-64)  x¹⁴  y²⁰

We need to simplify the radical expression and find the value of the expression.

Now, we will first simplify the term √(-64)

We know that:

√(-64) = √( - 1 × 8 × 8 )

= 8 √ -1

Using the properties of complex numbers, we get that:

√ - 1 = i

= 8 i

Putting it in the expression, we get that:

= 5 ( 8 i ) x¹⁴ y²⁰

= 40 x¹⁴ y²⁰ i

Therefore, we get that, after simplifying the radical expression 5 √(-64)  x¹⁴  y²⁰, the result is 40 x¹⁴ y²⁰ i.

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The equation which expresses c in terms of p, m and t as in the task content is; c = mt + p and the solution of the equation for t is; t = (c -p)/m.

It follows from the fact that the rate of change, m is constant in the situation described. Hence, the equation is a linear equation.

On this note, the required equation which represents total cost, c in terms of p, m and t can be written as;

C = mt + p.

Hence, to solve the equation above for t;

Subtract p from both sides so that;

c - p = mt

Divide both sides by m;

(c - p)/m = t.

Ultimately, The equation which expresses c in terms of p, m and t as in the task content is;

c = mt + p

and the solution of the equation for t is;

t = (c -p)/m.

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Answer:

-3

Step-by-step explanation:

[tex](-a) + (+b) = -c\\= -10 + 7\\= -3[/tex]

Answer: what am i supposed to choose from?

Step-by-step explanation:

The outliers of the given data set are 2 and 12.

The given data set is 2, 4, 6, 8, 10 and 12.

Outliers are extreme values that stand out greatly from the overall pattern of values in a dataset or graph

A value that "lies outside" (is much smaller or larger than) most of the other values in a set of data. For example in the scores 25,29,3,32,85,33,27,28 both 3 and 85 are "outliers".

In the given data set 2, 4, 6, 8, 10 and 12.

2 is the lowest observation and 12 is the highest observation.

So, 2 and 12 are two extreme values and these two are outliers.

Therefore, the outliers of the given data set are 2 and 12.

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Answer: c 2.18

Step-by-step explanation:

pray to god that its right

Answer:  31

Step-by-step explanation:

1. Replace z by 5, meaning that 8*5

2. Then, subtract 40 by 9 (8*5 = 40, 40-9 = 31)

Answer:

about 76.36 kgis the answer

Step-by-step explanation:

168 divided by 2.2 is 76.36.

Answer:

A:0.11     B:I can't a diagram in here

Answer:

(13, 20)

Step-by-step explanation:

The equation is y = 30x +3000

$ 10500 is the rent for 250 guests.

The slope intercept form in math is one of the forms used to calculate the equation of a straight line, given the slope of the line and intercept it forms with the y-axis. The slope intercept form is given as, y = mx + b.

Given:

(100, 4350) and (155, 6000)

So, slope = 6000- 4350 / 155-100

slope = 1650/55

slope= 30

So, the equation is

y-6000 = 30( x- 100)

y - 6000 = 30x - 3000

y = 30x +3000

Now,

and, for 250 guests the rent would be

y= 30 * 250 + 3000

y = 7500+3000

y= $ 10500

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The number of dinner combinations that will be represented in the Tree Diagram is 36.

A tree diagram is a new management planning tool that depicts the hierarchy of tasks and subtasks needed to complete and objective. The tree diagram starts with one item that branches into two or more, each of which branch into two or more, and so on. The finished diagram bears a resemblance to a tree, with a trunk and multiple branches.It is used to break down broad categories into finer and finer levels of detail. Developing the tree diagram helps you move your thinking step by step from generalities to specifics.

Given that a neighborhood restaurant offers dinner for four for

$39.99 which includes

Three types of appetizers =(a1,a2,a3)

Four types of entrees = (e1,e2,e3,e4)

3 types of desserts = (d1,d2,d3)

Therefore, we can conclude the Number of combinations =  3*4*3=36

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Answer:

f= 1.3s - 8.7

Step-by-step explanation:

Slope is M

M = 1.3 feet per second

y=mx+ b your b= 8.7ft

your equation is

f= 1.3s - 8.7

Since Kallie thinks that each double problem will have an even sum. in my response, it is Yes, I do not agree with her.

The reason why i agree with her is that  the odds that is double will also give you an odd double and get an even double.

An odd number is known to be one that be looked at as an even number and this is one that happens if one added to it .

For example  5 is 4+1.

Therefore, if you add two odd numbers together, there is the probability that a person may get an even number.

For example is 3 + 5 = 8

Therefore, Since Kallie thinks that each double problem will have an even sum. in my response, it is Yes, I do not agree with her.

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Answer:

(11/x) - 14

Step-by-step explanation:

(11/x) - 14 or 11 - 14x/x

Answer:

q = -20

Step-by-step explanation:

The solution of the equation will be negative 20. Then the number of solutions to the equation will be one.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The equation is given below.

7q – 20 = – 10q + 20 + 19q

Simplify the equation, then we have

7q – 20 = – 10q + 20 + 19q

– 19q + 10q + 7q = 20 + 20

– 2q = 40

q = 40 / (–2)

q = – 20

The solution of the equation will be negative 20. Then the number of solutions to the equation will be one.

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[tex]sum \: of \: interior \: angles = (9 - 2)180 = 1260 \\ one \: angle \: in \: th e\: nonagon = \frac{1260}{9} = 140 \\ x + nop = 180 \: (supplementary \: angles) \\ x + 140 = 180 \\ x = 180 - 140 \\ x = 40[/tex]

When dividing with polynomials one factor becomes the dividend and the other factor becomes the quotient. This is false.

It should be noted that a polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, as well as non-negative integer exponentiation of variables

Dividing polynomials simply requires that a particular factor becomes the divisor and the other factor becomes the quotient.

Therefore, it's false.

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When dividing with polynomials one factor becomes the dividend and the other factor becomes the quotient.

Answer:

See below

Step-by-step explanation:

To find zeroes:

  0 = (-16t-4)(t-2)

      so   -16t-4 = 0      t = -1/4

         or  t-2 = 0         t = 2  

when the ball is thrown, t= 0

  put t= 0 in the equation to find the initial height

      y = ( -16t -4)(t-2)

        = ( -16(0)-4)(0-2) = (-4)(-2) = 8 ft

The value of y on the unit circle is y =-3/5

A circle is defined as the locus of a point such that it is equidistant from a fixed point.

The equation of a circle with center at the origin is given by x² + y² = r² where r = radius of circle

A unit circle is a circle with radius, r = 1.

So, the equation of a unit circle is x² + y² = 1

Given that the point P(-4/5, y) lies on the unit circle, and P is int he third quadrant, making y subject of the formula in the equation for unit circle, we have

y = ±√(1 - x²)

Substituting x = -4/5 into the equation, we have

y = ±√(1 - x²)

y = ±√(1 - (-4/5)²)

y = ±√(1 - 16/25)

y = ±√[(25 - 16)/25]

y = ±√[9/25]

y = ±3/5

Now, given that P is in the third quadrant, it implies that y is negative. so, y = -3/5

So, the value of y on the unit circle is y =-3/5

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Answer:

y = [tex]\frac{a+k}{t}[/tex]

Step-by-step explanation:

ty = a + k ( isolate y by dividing both sides by t )

y = [tex]\frac{a+k}{t}[/tex]

Answer:

[tex]\sf y =\dfrac{a+k}{t}[/tex]

Step-by-step explanation:

To make 'y' as the subject, isolate y by dividing both sides by t

      ty = a + k

Divide both sides by t,

         [tex]\sf \dfrac{ty}{t}=\dfrac{a+k}{t}\\\\[/tex]

           [tex]\sf y = \dfrac{a +k}{t}[/tex]