i need help with this also. (homework due tomorrow)

I Need Help With This Also. (homework Due Tomorrow)

Answers

Answer 1

Answer:

Using Pyhagoras theoram,

(H)^2 = (B)^2 + (P)^2

B = 13 in

P = 5 in

\((h)^{2} = (13)^{2} + {(5)}^{2} \\ = > (h)^{2} = 169 + 25 \\ = > (h)^{2} = 194 \\ = > h = \sqrt{194} \\ = > h = 13.92\)

Hence, the missing side is 13.92 inhes.

Answer 2

Answer:

13.93

Step-by-step explanation:

\(5^{2} + 13^{2} = c^{2}\)

\(25 + 169 = 194 = c^{2}\)

\(\sqrt{194} = c^{2}\)

\(13.92838827718 = c\)

then round up to 13.93


Related Questions

SOMEONE PLEASE HELP ME I WILL LOVE YOU FORVER

SOMEONE PLEASE HELP ME I WILL LOVE YOU FORVER

Answers

Answer:

A. OEO, EOE, EEE, EEO, OOE, OEE

A (probability). \(\frac{3}{4}\)

B. OEO, EOE

B (probability). \(\frac{1}{4}\)

C. EOE, EEE, OOE, OEE

C (probability). \(\frac{1}{2}\)

hope this helps:)

Answer:

A. OEO, EOE, EEE, EEO,  ------- (probability).  3/4

B. OEO, EOE ------(probability). 1/4

C- EOE   --------------(probability). 1/4 aswell

Step-by-step explanation:

Sorry it took so long

I hope this helps C:

a box contains some green marbles and exactly four red marbles. the probability of selecting a red marble is $x\%$. if the number of green marbles is doubled, the probability of selecting one of the four red marbles from the box is $(x - 15)\%$. how many green marbles are in the box before the number of green marbles is doubled?

Answers

The number of green marbles in the box before the number of green marbles is doubled is given by \($\frac{4 - 4x + 60}{2x - 30}$\\\), where x is the probability of selecting a red marble before the number of green marbles is doubled.

Let the number of green marbles be 'g'.

The probability of selecting a red marble before the number of green marbles is doubled is\($\frac{4}{g+4} * 100 = x\%$\)

The probability of selecting one of the four red marbles from the box after the number of green marbles is doubled is \($\frac{4}{2g+4} * 100 = (x - 15)\%$\)

Rearranging the equations and solving for g, we get:

\(\frac{4}{g+4} * 100 = x$\frac{4}{2g+4} * 100 = (x - 15)$$2g+4 = \frac{4}{x-15}$$g = \frac{4 - 4x + 60}{2x - 30}$\)

Therefore, the number of green marbles before the number of green marbles is doubled is \($\frac{4 - 4x + 60}{2x - 30}\)

The number of green marbles in the box before the number of green marbles is doubled is given by \($\frac{4 - 4x + 60}{2x - 30}$\\\), where x is the probability of selecting a red marble before the number of green marbles is doubled.

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12ft
What is the radius?
What is the diameter?

Answers

Answer:

Step-by-step explanation:

Answer:

radius-6ft

diameter-12ft

Please help! Will mark brainliest

Please help! Will mark brainliest

Answers

-6 x 2 +5 = -7
The absolute value of -7 is 7.
8 x 1/2 =4
7-4=3

Answer:

3!!!

Step-by-step explanation:

|2(-6)+5| - 8((1)/(2))

hope this helped ahahaa <3

0ten random numbers are drawn from a uniform distribution on . what is the probability that at least one will exceed 4.55? round your answer to three decimal places.

Answers

The probability that at least one random number is greater than 4.55 is 0.718 (rounded to three decimal places).

The probability of at least one number exceeding 4.55 can be calculated as the complement of the probability that all ten numbers are less than or equal to 4.55.

The probability density function of a uniform distribution on the interval [0, 5] is:

f(x) = 1/5, 0 <= x <= 5

The probability that one number is less than or equal to 4.55 is given by:

P(X <= 4.55) = ∫₀⁴.₅₅ f(x) dx = ∫₀⁴.₅₅ (1/5) dx = (1/5) * (4.55 - 0) = 0.91

So, the probability that all ten numbers are less than or equal to 4.55 is:

P(X₁ <= 4.55, X₂ <= 4.55, ..., X₁₀ <= 4.55) = (0.91)^10 = 0.2824

Therefore, the probability that at least one number exceeds 4.55 is:

P(at least one number > 4.55) = 1 - P(all numbers <= 4.55) = 1 - 0.2824 = 0.7176

So the probability that at least one random number is greater than 4.55 is 0.718 (rounded to three decimal places).

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Please help answer this question.

Please help answer this question.

Answers

Since the angles are formed by cutting the parallel line, the value of x will be 8.Option A is correct.

What are vertically opposite angles?

It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.

Since the angles are formed by cutting the parallel line the angle formed as,

15x-6 = 114

15x=114+6

15x=120

x=120/15

x=8

Thus. if the angles are formed by cutting the parallel line, the value of x will be 8.Option A is correct.

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In the diagram, angle LH is parallel angle JK. Find measure H

In the diagram, angle LH is parallel angle JK. Find measure H

Answers

Step-by-step explanation:

for triangle HLM

180-2x

180-(3x+6)

H

2x=3x-10

x=10°

180-36=144°

36-20=16°

H=2x

H= 180-144-16= 20°

In the diagram, angle LH is parallel angle JK. Find measure H

Write each ratio in the simplest form. (Note: remember the units of measurement, they must be the same!)

a. 30 in to 1 ft

b. 2 in to 2 ft

c. 20 days to 2 weeks

d. 10 ft to 20 yards

e. 5 hours to 10 min

f. 10 seconds to 5 min

PLEASE HELP THIS DUE TOMORROW

Answers

Answer:

a. 5:2

Step-by-step explanation:

1 ft = 12 in

30:12

Divide by 6

30÷6=5

12÷6=2

So, the answer is 5:2

Calculate the unit rate for Machine A and Machine B. Determine which is the greater rate.Machine A covers 5/8 square feet in 1/2 hour or Machine B covers 2/3 square feet in 1/3 hour.

Answers

Given:

Machine A covers 5/8 square feet in 1/2 hour.

Machine B covers 2/3 square feet in 1/3 hour.

Solution:

The unit rate of the machine A will be as

\(\begin{gathered} \text{Unit Rate=}\frac{\frac{5}{8}}{\frac{1}{2}} \\ =\frac{5}{8}\ast\frac{2}{1} \\ =\frac{10}{8} \\ =1.25 \end{gathered}\)

The unit rate of the machine B will be as

\(\begin{gathered} \text{Unit Rate=}\frac{\frac{2}{3}}{\frac{1}{3}} \\ =\frac{2}{3}\ast\frac{3}{1} \\ =2 \end{gathered}\)

Answer:

Hence, the unit rate of the machine B is greater.

Given: \overline{AE} \parallel \overline{FD},

AE



FD

, \overline{BF} \parallel \overline{EC}

BF



EC

and \overline{AC} \cong \overline{BD}.

AC



BD

.


Prove: \triangle AEC \cong \triangle DFB△AEC≅△DFB.
needed 3 prove (angle/slide)

Given: \overline{AE} \parallel \overline{FD}, AE FD , \overline{BF} \parallel \overline{EC} BF EC and

Answers

Answer:

See below for answer.

Step-by-step explanation:

∠ECB ≅ ∠FBC    Parallel lines cut by a transversal form congruent alternate  

                             interior angle  

Δ AEC ≅ Δ DFB   ASA                

two ships leave a harbor at the same time. the first ship heads north at 20 miles per hour, and the second ship heads west at 15 miles per hour. write an expression that gives the distance d between the ships after t hours.

Answers

The expression that gives the distance, d, between the ships after t hours is d = 25t

Calculating Distance

From the question, we are to write an expression that gives the distance, d, between the ships after t hours

First, we will determine the distance the ships have traveled after t hours

Using the formula,

Distance = Speed × Time

Thus,

The first ship would have traveled

20 × t miles

= 20t miles

The second ship would have traveled

15 × t miles

= 15t miles

Using the Pythagorean theorem,

The distance, d, between the ships after t hours is

d² = (20t)² + (15t)²

d² = 400t² + 225t²

d² = 625t²

d = √(625t²)

d = 25t miles

Hence, the expression that gives the distance, d, between the ships after t hours is d = 25t

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If polygon COLD is congruent to polygon WARM and the area of polygon WARM is 28 square feet, what is the area of polygon COLD

Answers

Answer:

28 sqr feet.

Step-by-step explanation:

Congruent means equal to. So Cold = Warm for some given property (Area in this case).

28 ft^2 is the answer

Please help A woman bought a number of items for $40. She realized that if she had bought 4 more items for the same money, she would have paid $5 less per item. How many items did she buy? She bought ______ items

Answers

Answer:

she bought 4 items

Step-by-step explanation:

Factorise by grouping the expression:
( − ) 2 − ( − ) + 3 − 3

Answers

_(_)+_(+)_so

2-3-3

=1-3

=2

what is 24.3-(1.3×4)+7.94​

Answers

The answer is 27.04

Hope this helps

2. The following set of count readings was made in a gradient-free γ-ray field, using a suitable detector for repetitive time periods of one minute: 18,500;18,410; 18,250;18,760;18,600;18,220;18,540;18,270;18,670;18,540. (a) What is the mean value of the number of counts? (b) What is its standard deviation (S.D.)? (c) What is the theoretical minimum S.D. of the mean? (d) What is the actual S.D. of a single reading? (e) What is the theoretical minimum S.D. of a single reading?

Answers

The inflection point of f(t) is approximately t = 3.73.

(a) To determine if the function f(t) = -0.425t^3 + 4.758t^2 + 6.741t + 43.7 is increasing or decreasing, we need to find its derivative and examine its sign.

Taking the derivative of f(t), we have:

f'(t) = -1.275t^2 + 9.516t + 6.741

To determine the sign of f'(t), we need to find the critical points. Setting f'(t) = 0 and solving for t, we have:

-1.275t^2 + 9.516t + 6.741 = 0

Using the quadratic formula, we find two possible values for t:

t ≈ 0.94 and t ≈ 6.02

Next, we can test the intervals between these critical points to determine the sign of f'(t) and thus the increasing or decreasing behavior of f(t).

For t < 0.94, choose t = 0:

f'(0) = 6.741 > 0

For 0.94 < t < 6.02, choose t = 1:

f'(1) ≈ 14.982 > 0

For t > 6.02, choose t = 7:

f'(7) ≈ -5.325 < 0

From this analysis, we see that f(t) is increasing on the intervals (0, 0.94) and (6.02, ∞), and decreasing on the interval (0.94, 6.02).

(b) To find the inflection point of f(t), we need to find the points where the concavity changes. This occurs when the second derivative, f''(t), changes sign.

Taking the second derivative of f(t), we have:

f''(t) = -2.55t + 9.516

Setting f''(t) = 0 and solving for t, we find:

-2.55t + 9.516 = 0

t ≈ 3.73

Therefore, The inflection point of f(t) is approximately t = 3.73.

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Supporters of globalization believe that free trade and international investment result in all countries raising their living standards. True/False

Answers

True. Supporters of globalization argue that free trade and international investment can lead to an overall increase in living standards for all countries involved.

This belief is based on the idea that when countries engage in free trade, they can specialize in producing goods and services that they have a comparative advantage in, which leads to greater efficiency and productivity. This increased efficiency can result in lower prices for consumers and access to a wider variety of goods and services. Additionally, international investment can bring in capital, technology, and expertise, which can stimulate economic growth and create job opportunities, ultimately improving living standards. The proponents of globalization argue that free trade allows countries to focus on producing goods and services where they have a comparative advantage. This means that each country can specialize in producing what they are most efficient at, leading to increased productivity and lower costs. As a result, consumers benefit from access to a wider range of affordable goods and services. For example, developing countries that specialize in agricultural production can export their products to other nations, while importing manufactured goods that they may not be as efficient at producing. This specialization and exchange of goods can lead to economic growth and improved living standards. Furthermore, international investment plays a crucial role in globalization. When foreign companies invest in other countries, they bring in capital, technology, and expertise, which can help stimulate economic growth. This investment can lead to the creation of new industries, infrastructure development, and job opportunities. As a result, countries can experience increased employment rates, higher wages, and improved living conditions for their citizens. However, it's important to note that the benefits of globalization are not evenly distributed across all countries and individuals. Critics argue that certain industries and workers may be negatively affected by increased competition from abroad, leading to job losses and income inequality. Additionally, globalization can create dependencies between countries, making them vulnerable to economic shocks and financial crises in other parts of the world. In conclusion, while supporters of globalization argue that free trade and international investment can result in all countries raising their living standards, it's important to consider the potential challenges and drawbacks associated with it. Overall, the impact of globalization on living standards is complex and can vary depending on various factors such as a country's level of development, policies, and distribution of benefits.

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A circular pond is to be surrounded by a fence.The radius of the pond is 3.2 m.How many meters of fence is needed to enclose the pond?

Answers

Answer:

≈ 20 m

Step-by-step explanation:

the circumference (C) of a circle is calculated as

C = 2πr ( r is the radius ) , then

C = 2π × 3.2 = 6.4π ≈ 20

length of fence needed is approximately 20 m

a rectangle has width that is 2 feet less than the length the arrea of the rectangle is 80 square feet find the dimensions of the rectangle

Answers

The dimensions of the rectangle are 10 feet (length) and 8 feet (width).

To find the dimensions of the rectangle with an area of 80 square feet and a width that is 2 feet less than the length,

follow these steps:

1. Let the length of the rectangle be L feet and the width be W feet.

2. According to the given information, W = L - 2.

3. The area of a rectangle is calculated by multiplying its length and width: Area = L × W.

4. Substitute the given area and the relationship between L and W into the equation: 80 = L × (L - 2).

5. Solve the quadratic equation: 80 = L² - 2L.

6. Rearrange the equation: L² - 2L - 80 = 0.

7. Factor the equation: (L - 10)(L + 8) = 0.

8. Solve for L: L = 10 or L = -8 (since the length cannot be negative, L = 10).

9. Substitute L back into the equation for W: W = 10 - 2 = 8.

So, the dimensions of the rectangle are 10 feet (length) and 8 feet (width).

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The average square footage in an apartment in a town is 1,800 square feet with a standard deviation of 120 square feet. the square footage is normally distributed. you randomly select 10 apartments in the town. what is the probability that the mean will be more than 1900 square feet?

Answers

If the average square footage in an apartment in a town is 1,800 square feet with a standard deviation of 120 square feet, the square footage is normally distributed and if you randomly select 10 apartments in the town, then the probability that the mean will be more that 1900 square feet is 0.46%

To find the probability, follow these steps:

We can use the Central Limit Theorem, which states that for large enough sample sizes, the distribution of sample means will be approximately normal, regardless of the shape of the population distribution. We can calculate the standard deviation of the sample mean using the formula:
Standard deviation of the sample mean = population standard deviation / square root of sample size
In this case, the standard deviation of the sample mean = 120 / √10 ≈ 37.95Next, we need to find the z-score, which measures how many standard deviations the sample mean is from the population mean. The formula for the z-score is:
z = (sample mean - population mean) / standard deviation of the sample mean
In this case, the sample mean is 1900 square feet, the population mean is 1800 square feet, and the standard deviation of the sample mean is 37.95.

z = (1900 - 1800) / 37.95 ≈ 2.64To find the probability that the mean will be more than 1900 square feet, we need to find the area to the right of the z-score of 2.64 in the standard normal distribution table (also known as the z-table).
Using the z-table, we find that the area to the right of 2.64 is approximately 0.0046.

Therefore, the probability that the mean will be more than 1900 square feet is approximately 0.0046, or 0.46%.

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In the equation y = $7.20x + $790, "y" represents Select one: A. variable costs/unit. B. total fixed costs. C. total costs. D. none of the above

Answers

In the equation y = $7.20x + $790, "y" represents the total cost. An equation is a mathematical statement that shows the relationship between two or more variables. In this equation, there are two variables - "x" and "y". The variable "x" represents the number of units produced or sold, while "y" represents the total cost.

The coefficient of "x" in the equation, which is 7.20, represents the variable cost per unit. This means that for each unit produced or sold, there is an additional cost of $7.20. The constant term, which is $790, represents the total fixed costs. Fixed costs are those costs that do not vary with the number of units produced or sold.To find the total cost of producing or selling a certain number of units, we can plug in the value of "x" into the equation and solve for "y". For example, if we want to find the total cost of producing 100 units, we can substitute x=100 into the equation:
y = $7.20(100) + $790
y = $720 + $790
y = $1510
Therefore, the total cost of producing 100 units is $1510. In summary, "y" represents the total cost in the given equation, which is determined by both fixed and variable costs.
In the equation y = $7.20x + $790, "y" represents option C: total costs. This equation has two components: "$7.20x" represents the variable costs per unit, where x is the number of units, and "$790" represents the total fixed costs. By adding these two components together, you get the total costs (y) for producing x units.

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4x+ 2( 3 – 3x) = 6 answer

Answers

Answer:

0

Step-by-step explanation:

4x+ 2( 3 – 3x) = 6

4x+6-6x=6

6-2x=6

6-6=2x

0/2=x

x=0

Answer:

\(x=0\)

Step-by-step explanation:

\(4x+2\left(3-3x\right)=6\)

Expand:

\(4x+2\times3-2\times3x=6\)

\(4x+6-6x=6\)

\(-2x+6=6\)

Subtract 6 from both sides:

\(-2x+6-6=6-6\)

\(-2x=0\)

Divide both sides by -2:

\(\frac{-2x}{-2}=\frac{0}{-2}\)

\(x=0\)

Help me fast !! Solve for m/HIK.

Help me fast !! Solve for m/HIK.

Answers

71°.

.

.

................

In the given diagram, the value fοr the measure οf angle HIK is οbtained as 71°.

What is an angle?

An angle is a figure in plane geοmetry that is created by twο rays οr lines that have a shared endpοint. The Latin wοrd "angulus," which meaning "cοrner," is the sοurce οf the English term "angle." The shared terminus οf twο rays is knοwn as the vertex, and the twο rays are referred tο as sides οf an angle.

The measure οf angle HIJ is given as 117°.

The measure οf angle KIJ is given as 46°.

In the diagram it can be seen that when ∠KIJ and ∠HIK is added it fοrms the ∠HIJ.

Mathematically it can written as -

∠KIJ + ∠HIK = ∠HIJ

Substitute the value in the equatiοn -

46° + ∠HIK = 117°

Subtract tο find the value οf ∠HIK -

∠HIK = 117° - 46°

∠HIK = 71°

Therefοre, the measure οf angle ∠HIK = 71°.

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Let G be a simple directed graph with non-negative arc weights. We define capacity of a path p in G as the minimum arc weight along it: cap(p)=min e∈p

w(e). And we define volume of a pair of vertices (u,v) as the maximum capacity among paths from u to v : vol(u,v)=max p is a path from u to v

cap(p). Given graph G and a vertex s of G, present an efficient Dijkstra-like algorithm to find, for all t∈G.V\{s}, the volume of (s,t).

Answers

To find the volume of all pairs of vertices (s, t) in a directed graph G using an efficient Dijkstra-like algorithm, we can adapt the Dijkstra's algorithm with some modifications.

Here is the algorithm:

Initialize all vertices' volumes as negative infinity, except for the starting vertex s, which has a volume of 0.

vol(v) = -∞ for all v in G.V

vol(s) = 0

Create a priority queue Q to store vertices based on their volumes (minimum volume first). Initially, insert vertex s into Q.

While Q is not empty, do the following:

a. Extract the vertex u with the minimum volume from Q.

b. For each neighbor v of u:

Calculate the capacity of the path from s to v via u: cap(s, v) = min(cap(s, u), w(u, v)), where w(u, v) is the weight of the arc from u to v.

If cap(s, v) > vol(v), update vol(v) with cap(s, v) and insert v into Q if it's not already present.

After the algorithm finishes, the volumes vol(s, t) will represent the maximum capacity of paths from s to t for all vertices t in G.V{s}.

This modified Dijkstra-like algorithm finds the maximum capacity (volume) from s to all other vertices by considering all possible paths and updating the volume as we encounter smaller capacities along the way. By using a priority queue to extract the minimum volume vertex efficiently, the algorithm can run in O((|V| + |E|) log |V|) time complexity, where |V| is the number of vertices and |E| is the number of edges in the graph.

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Can u please help me​

Can u please help me

Answers

Answer:

P=p1+p2+p3+p4

P1=4*a=4*8=24

P2=a+b+c=6+10+8=24

P3=2*a+2*b=2*10+2*20=60=P4

P=24+24+60+60=160cm

In the month of January, Amaya brought
her lunch every day. She brought a peanut
butter and jelly sandwich eleven times, a
sandwich from Jersey Mike's seven times,
and pizza thirteen times. If this pattern
continues, what is the probability Amaya
will bring pizza one day and peanut butter
and jelly the next day?


GELLP

Answers

The probability Amaya will bring pizza one day and peanut butter and jelly the next day is 143/961.

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Amaya bought peanut butter and jelly sandwich = 11

Amaya bought sandwich = 7

Amaya bought pizza= 13

Total outcomes = 13+ 7 + 11 = 31

So, the probability Amaya will bring pizza one day and peanut butter and jelly the next day

= 13/31 x 11/31

= 143/961

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I need help with these two

I need help with these two

Answers

Answer:

2) D

4) A

Step-by-step explanation:

y=3(x-1)

multiply

3(x-1)

then y=3x-3

y+1=4/3(x+3)

multiply 4/3(x+3)

y=4/3x+3

Answer:

1) D. y = 3x-3

2) A. y = 4/3 x+3

Step-by-step explanation:

1)

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : y-(3*x-3)=0

Step 1:

Equation of a Straight Line

Solve   y-3x+3  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  y-3x+3  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is -3/1 so this line "cuts" the y axis at y=-3.00000

 y-intercept = -3/1  = -3.00000  

Calculate the X-Intercept :

When y = 0 the value of x is 1/1 Our line therefore "cuts" the x axis at x= 1.00000

 x-intercept = 3/3  =  1  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -3.000 and for x=2.000, the value of y is 3.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 3.000 - (-3.000) = 6.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  6.000/2.000 =  3.000  

Geometric figure: Straight Line

 Slope = 6.000/2.000 = 3.000

 x-intercept = 3/3 = 1

 y-intercept = -3/1 = -3.00000

2)

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    y-(4/3*x+3)=0

Step 1:

Simplify   4/3

Equation at the end of step  1:

y -  ((4/3 • x) +  3)  = 0

Step 2: Rewriting the whole as an Equivalent Fraction

Adding a whole to a fraction

Rewrite the whole as a fraction using  3  as the denominator :

3 = 3/1 = 3 · 3/3

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

4x + 3 · 3/3 = 4x+9/3

Equation at the end of step  2:

y - (4x+9)/3=0

Step 3:

Rewriting the whole as an Equivalent Fraction :

Subtracting a fraction from a whole

Rewrite the whole as a fraction using  3  as the denominator :

y = y/1 = y · 3/3

Adding fractions that have a common denominator :

Adding up the two equivalent fractions

y • 3 - ((4x+9))     3y - 4x - 9

————————————————  =  ———————————

       3                  3      

Equation at the end of step

3

:

 3y - 4x - 9

 ———————————  = 0  

      3      

STEP

4

:

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 3y-4x-9

 ——————— • 3 = 0 • 3

    3    

Now, on the left hand side, the  3  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  3y-4x-9  = 0

Equation of a Straight Line

4.2     Solve   3y-4x-9  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  3y-4x-9  = 0 and calculate its properties

Graph of a Straight Line :

 

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 3/1 so this line "cuts" the y axis at y= 3.00000

 y-intercept = 9/3  =  3  

Calculate the X-Intercept :

When y = 0 the value of x is 9/-4 Our line therefore "cuts" the x axis at x=-2.25000

 x-intercept = 9/-4  = -2.25000  

Calculate the Slope :

    Slope     =  2.667/2.000 =  1.333  

Geometric figure: Straight Line

 Slope = 2.667/2.000 = 1.333

 x-intercept = 9/-4 = -2.25000

 y-intercept = 9/3 = 3

The Playhouse Concert Hall has 523 seats. The Pink Ladies rock band is holding a concert there and charging $35.50 for each ticket. If the concert sells out, how much money will the band earn?​

Answers

Answer:

  $18,566.60

Step-by-step explanation:

Ticket sales will total ...

  523 × $35.50 = $18,566.60

__

Usually the amount paid to the performers is just a fraction of the total revenue, so we don't actually know how much the band earns.

i is in need of saving.... math wants to kill meeee

i is in need of saving.... math wants to kill meeee

Answers

Answer:

See below

Step-by-step explanation:

Given sequence is:

\(7,\: \frac{28}{3},\:\frac{112}{9},\:\frac{448}{27},\:\frac{1792}{81}\:\)

Here,

First term \(a=7\)

Common ratio \(r=\frac{28}{7\times 3}=\frac{4}{3}\)

Formula for nth term of geometric sequence is given as:

\(a(k) =ar^{k-1}\)

Plugging the values of a and r in the above formula, we find:

\(\huge{\purple{a(k) =(7)\bigg(\frac{4}{3}\bigg)^{k-1}}}\)

This is the required explicit formula for the given geometric sequence.

I need help ASAP!

A milk truck delivers 357 dozen gallons of milk to stores in 1 day. Write and solve an equation to find n, the number of gallons of milk the milk truck delivers in 1 day.

Answers

Answer:

357÷12

Step-by-step explanation:

You need to figure out how many are in one so you would have to divide it by 12 to get your answer.

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