4. Becca was on the 12 floor of
her apartment building She got in
the elevator and descended 8
floors. What floor is she
on now?

The given rational expression is,

The denominator of the expression becomes LCD (x+2)(x-7), multiply the numerator and denominator of the rational expression by (x-7).

In the rational expression 2/(x-7), the denominator (x-7) becomes the LCD (x+2)(x-7) if the numerator and denominator of the expression is multipied by (x+2).

b = speed of the boat in still water

c = speed of the current

when going Upstream, the boat is not really going "b" fast, is really going slower, is going "b - c", because the current is subtracting speed from it, likewise, when going Downstream the boat is not going "b" fast, is really going faster, is going "b + c", because the current is adding its speed to it.

Now, the boat goes Upstream 48 miles, so Downstream must be travelling the same 48 miles back.

\({\Large \begin{array}{llll} \underset{distance}{d}=\underset{rate}{r} \stackrel{time}{t} \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Upstream&48&b-c&3\\ Downstream&48&b+c&2 \end{array}\hspace{5em} \begin{cases} 48=(b-c)(3)\\\\ 48=(b+c)(2) \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{using the 1st equation}}{48=(b-c)3}\implies \cfrac{48}{3}=b-c\implies 16=b-c\implies \boxed{16+c=b} \\\\\\ \stackrel{\textit{using the 2nd equation}}{48=(b+c)2}\implies \cfrac{48}{2}=b+c\implies 24=b+c\implies \stackrel{\textit{substituting}}{24=(16+c)+c} \\\\\\ 24=16+2c\implies 8=2c\implies \cfrac{8}{4}=c\implies \boxed{2=c}~\hfill~\stackrel{ 16~~ + ~~2 }{\boxed{b=18}}\)

The equivalent decimal and mixed number for given letter C is,

⇒ C = 8.2 ; 8 2/10

We have to given that,

A number line is shown in image.

Since,

A number lines are the horizontal straight lines in which the integers are placed in equal intervals.

And, All the numbers in a sequence can be represented in a number line. This line extends indefinitely at both ends.

Now, By given number line,

Point C is two point left from point 8.

Hence, The point C is denoted as,

⇒ C = 8.2

⇒ C = 82/10

⇒ C = 8 2/10

Therefore, the equivalent decimal and mixed number for given letter C is,

⇒ C = 8.2 ; 8 2/10

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Answer:

The answer is 0.

If each of X, Y, and N are positive integers, then the value of X+Y+N is 212.1

A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.

WE are given that A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses.

X = 7

Y = 10

If there are N packages (N ≥ 2) and the total value of them is $2021

X + Y = One packages

N packages = N(X + Y ) = 10 N

if each of X, Y, and N are positive integers, then;

10 N = 2021

N = 2021/10

N = 202.1

Therefore, X+Y+N = 10 + 202.1 = 212.1

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Answer:

10.8mg to ml

Step-by-step explanation:

If you want to convert mg to ml of water you use

1ml=1000mg,then convert the units

1ml=1000mg, then what is the ml of 10.8mg? by using crisscross, let unknown value is B

= 1ml=1000mg

B=10.8mg

=1ml*10.8mg

1000mg

Answer:

the answer is 64x^2+49y^2

a) The distance of the stone above ground level at time t :

d(t)= -4.9t² + 950

b) It takes 13.92 seconds the stone to reach the ground

c)  With 136.42 m/s velocity the stone strikes the ground.

d) If the stone is thrown downward with a speed of 8 m/s, it will take 13.13 seconds to reach the ground

Here, a  stone is dropped from the upper observation deck of a tower, 950 m above the ground.

(a)  the distance of the stone above ground level at time t would be,

d(t)  = 0.5 (-9.8) t² + v(0) t + d(0)

      = (-4.9)t² + 0t + 950

      = -4.9t² + 950

(b) Now we find the time the stone takes to reach the ground.

i.e., the value of 't' when d = 0

Substituting d(t) = 0 in the above equation.

-4.9t² + 950 = 0

t² = (-950) / (-4.9)

t² = 193.88

t = 13.92 seconds

(c) We need to find the velocity the stone takes to strike the ground

i.e., the velocity when t  = 13.92 seconds

v(t) = v(0) + gt      

v(13.92) = 0 + (9.8)(13.92)

v = 136.42 m/s

(d) here, v(0) = -8 m/s  

Velocity is negative because stone is being thrown downward.

d(t) = 0

(-4.9)t² + v(0) t + d(0) = 0

(-4.9)t² -8t + 950 = 0

Using the quadratic formula we solve above equation for,

t = -14.76, 13.13

We can disregard the negative solution

So, we get t = 13.13 seconds.

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Answer:

13 /20

Step-by-step explanation:

tou need to find LCM and do the process by your own

Hi there!

Answer:

2.5/5

Step By Step Explanation:

Given function:

Therefore, 2 3/15 rounded to the nearest half is 2.5/5.

Answer:

2

Step-by-step explanation:

:)

Answer:

75

Step-by-step explanation:

Based on the histograms, it appears that Los Angeles has a higher typical temperature than New York City during the summer month.

In statistics, a distribution is a way of showing how data is spread out or arranged. It describes the pattern of values in a dataset, and provides information on the frequency, range, and possible values of the data.

A distribution can take many forms, depending on the type of data being analyzed. For example, a distribution can be:

Symmetrical: where the data is evenly distributed around a central value, such as a normal distribution.

Skewed: where the data is not evenly distributed and is clustered more towards one end of the range than the other end, such as a positively skewed distribution.

Bimodal: where there are two distinct peaks in the data, such as in a distribution of test scores for a class with both high-performing and low-performing students.

There are many ways to represent a distribution, but some common methods include histograms, box plots, and probability density functions.

Understanding the distribution of data is important in statistics because it can help identify patterns, trends, and outliers in the data. It can also help inform decisions about which statistical methods to use when analyzing the data.

Here,

In the Los Angeles histogram, the peak of the distribution is around 80 degrees Fahrenheit, whereas in the New York City histogram, the peak is around 75 degrees Fahrenheit. However, the New York City histogram appears to have more variation in temperature than the Los Angeles histogram. This can be seen in the wider spread of the distribution, with a range of temperatures from around 65 to 95 degrees Fahrenheit, compared to the narrower range of temperatures in the Los Angeles distribution, which ranges from around 70 to 90 degrees Fahrenheit.

In other words, while the typical temperature in Los Angeles during the summer month is higher than in New York City, the temperature in New York City varies more widely from day to day.

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Answer: 2. They are congruent angles.

Step-by-step explanation:

      Angle 1 and angle 3 are vertical angles. In other words, they are "opposite" each other.

     Vertical angle pairs are congruent angles, meaning the answer to this question is;

              2. They are congruent angles.

Answer: They are congruent angles.

Step-by-step explanation: Complementary means the two angles equal 90°, supplementary angles are next to each other and equal 180° together, and it's obviously not a right angle, (angle that equals 90°) so we know they are congruent angles (this means that they are the same)

hope this helps!

please give brainliest!

If you were standing near the ocean, your elevation would be 0 feet above sea level.

Elevation above sea level refers to the height of a location above the sea level. It is typically measured in meters or feet. Elevation is important because it can affect the local climate and weather patterns, as well as the availability of resources such as water.

A location with a high elevation may have a cooler climate and less available water, while a location with a low elevation may have a warmer climate and more available water.

This means that if you are standing near the ocean, you would be at sea level and therefore you would be at 0 feet above sea level.

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The area of the regular decagon is 325 square units

The formula for the area of a regular polygon is given by

Area (A) = [number of sides (n) * length of side (l) * apothem (a)] /2

Apothem Formula is given by:

For the decagon, n = 10 (10 sides) and a = 10

a = l / 2tan(180/n)°

10 = l / 2tan(180/10)°

10 = l / 2 tan18°

l = 10 * 2 * tan18°

l = 6.50 units

Finding Area:

A = [number of sides (n) * length of side (l) * apothem (a)] /2

A = (10 * 6.50 * 10)/2

A = 325 square units

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Answer:

x = 35

Step-by-step explanation:

We can use the Pythagorean theorem since this is a right triangle

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

x^2 + 12^2 = (x+2)^2

FOIL

x^2+144=x^2+4x+4

Subtract x^2 from each side

144= 4x+4

Subtract 4 from each side

140 = 4x

Divide by 4

35 =x

Answer:

the answer is 119 hope this helps

Step-by-step explanation:

Answer:

119

Step-by-step explanation:

2 to the power of 5 is 32 and 10 - 7 = 3 and 3 to the power of 4 is 81 and 81 + 32 is 113 and 113 + 6 = 119

The item is an inelastic good at a price of 6 because it is negative and have a demand of -0.71.

The formula for elasticity of demand is Elasticity of demand = (% change in quantity demanded) / (% change in price)

The initial quantity demanded at a price of 6 and the quantity demanded at a slightly different price must be know.

Let say Initial quantity demanded is:

x = -0.7(6) + 10

x = 5.8

Assume price changes slightly to 6.01, which gives us a new quantity demanded of x:

= -0.7(6.01) + 10

= 5.793

The % change in quantity demanded will be:

= [(new quantity demanded - initial quantity demanded) / initial quantity demanded] x 100%

= [(5.793 - 5.8) / 5.8] x 100%

= -0.12%

As price has changed from 6 to 6.01, we can calculate the percentage change as follows:

% change in price = [(new price - initial price) / initial price] x 100%

= [(6.01 - 6) / 6] x 100%

= 0.17%

Elasticity of demand = (% change in quantity demanded) / (% change in price)

= (-0.12% / 0.17%)

= -0.71

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Answer:

\(( x + 4 )^2 + ( y - 7 )^2 = 36\)

Step-by-step explanation:

Use the circle equation, \(( x - h )^2 + ( y - k )^2 = r^2\)

Plug in the center and radius:

\(( x + 4 )^2 + ( y - 7 )^2 = 6^2\)

Simplify:

\(( x + 4 )^2 + ( y - 7 )^2 = 36\)

So, the equation is \(( x + 4 )^2 + ( y - 7 )^2 = 36\)

Answer:

(-4, -4).

Step-by-step explanation:

In order to calculate the midpoint coordinates, we need to calculate the mean value of the x-coordinates and the mean value of the y-coordinates.

So we have:

M(x)=(-1+(-7))/(2)=(-8)/(2)=-4

M(y)=(-6+(-2))/(2)=(-8)/(2)=-4

Therefore the midpoint coordinates are (-4, -4).

The functions for this problem are defined as follows:

The functions for this problem are given as follows:

The addition and subtraction functions for this problem are given as follows:

At x = -2, the numeric value of the subtraction function is given as follows:

(t - s)(-2) = -2³ - 5(-2)²

(t - s)(-2) = -28.

The product function for this problem is given as follows:

(ts)(x) = \(5x^5\)

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Answer:

Step-by-step explanation:

Typically yes you need to know

Mean

Median

Mode

and Range

Mean = average, add all numbers then divide by how many

Median = midpoint, middle number.  Be sure to list numbers from small to large if there are 2 middle numbers (this happens when there are an even amount), take the average of the 2 middle numbers

Mode = numbers that occurs the most in the list of numbers

Range = This is the largest number minus the smallest number.  

Answer:

Step-by-step explanation:

Given the following data:

31.5 32.9 33.0 28.6 37.2 43.3 45.9 37.2 68.8 36.2 35.5 31.5 32.9 33.0 28.6 37.2 43.3 45.9 37.2 68.8 36.2 35.5 40.5 37.2 45.3 36.1 45.5 42.3 33.3 30.3 37.2 45.5 54.3 37.2 49.8 32.1 39.3 40.3 44.2 28.4 46.0 47.2 32.8 32.2 38.5 44.5 44.6 40.9 29.5 41.3 35.4

Value ___frequency____relative frequency %

28.4_______1 __________1. 96

28.6_______2__________3.92

29.5_______1___________1.96

30.3_______1___________1.96

31.5_______2___________3.92

32.1_______1____________1.96

32.2_______1___________1.96

32.8_______1___________1.96

32.9_______2___________3.92

33________2___________3.92

33.3_______1___________1.96

35.4_______1___________1.96

35.5_______2___________3.92

36.1________1___________1.96

36.2_______2___________3.92

37.2_______7___________13.73

38.5_______1____________1.96

39.3_______1____________1.96

40.3_______1____________1.96

40.5_______1____________ 1.96

40.9_______1____________1.96

41.3_______1 ____________1.96

42.3______1_____________1.96

43.3______2____________ 3.92

44.2______1 _____________1.96

44.5______1 _____________1.96

44.6_____ 1 ______________1.96

45.3_____1 _______1.96

45.5_____2 ______3.92

45.9_____2 ______3.92

46______1 _______1.96

47.2_____1 _______1.96

49.8_____1 _______1.96

54.3____1________1.96

68.8____2________3.92

Lower outlier = Q1 - (1.5 × IQR)

Upper outlier = Q3 + (1.5 × IQR)

IQR = Interquartile range ;

Q1 = 1/4(n+1)th term

Q3 = 3/4(n+1)th term

IQR = Q3 - Q1

n = number of observations = 51

Q1 = (51 + 1)/4= 52/4 = 13 th term = 33

Q3 = 3(51 + 1) /4 = 156/4 = 39th term = 44.5

IQR = 44.5 - 33 = 11.5

LOWER OUTLIER = 33 - (1.5*11.5) = 33 - 17.25 = entries < 15.75

UPPER OUTLIER = 44.5 + (1.5*11.5) = 44.5 + 17.25 = 61.75

Entries > 61.75

Answer:

5/7

Step-by-step explanation:

ratio of boys to girls---> 2:5

ratio sum: 2+5=7

girls ratio =5/7

OR

total of people in 7th grade choir=28

hence, no of girls in 7th grade choir=5/7 × 28

=20

proportion of girls in choir= 20/28 = 5/7

The total area of the composite figure which has triangle and rectangle is  24.41 square inches

The given composite figure has two triangles and one rectangle

Area of rectangle =length × width

=4.6×3.15

=14.49 square inches

Area of left side triangle, it has base of 3.3 in and height 3.15 inches

Area of triangle = 1/2×3.3×3.15

=5.1975 square inches

Area of triangle on right side

Base = 3 in

Height = 6.3-3.15=3.15 in

Area of triangle = 1/2×3×3.15

=4.725 square inches

Total area = 14.49 + 5.1975  + 4.725

=24.41 square inches

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Answer:

x=7.5 and x=-12.5

Step-by-step explanation:

|2x+5|-4=16

|2x+5|=20

2x+5=20

2x=15

x=7.5

2x+5=-20

2x=-25

x=-12.5

Answer:

375 adult tickets were sold

Step-by-step explanation:

We know that the total amount of tickets sold is 805 tickets so that is our sum.

Then we know that there were 55 more student tickets sold than adult tickets. Since we don't know the amount of student tickets, we will use x.

So you would use x+55 for the student tickets.

Now, we don't know how many adult tickets either so we will use x for the amount of adult tickets.

So now, our equation would be:

805= x+55+x

Simplify:

805= 2x+55

Subtract 55 from both sides:

750= 2x

Divide each side by 2 so that we get x by itself:

375=x

Since x equals 375, there were 375 adult tickets sold.