Find the value of x in the figure to the right

Answer:

Answer:

P(S or T) = 3/4

Step-by-step explanation:

The segment RS has a length of 9 units

From the question, the partition of the line segment is given as

RS : ST : TU = 1 : 1 : 4

Where the endpoints of the line segments are R and U

This means that the length RS can be calculated using the following equation

Length RS = Ratio of RS/Sum of the ratios x The length of RU

Substitute the known values in the above equation

So, we have

Length RS = 1/(1 + 1 + 4) x 54

Evaluate the sum

Length RS = 1/6 x 54

Evaluate the products

Length RS = 9

Hence, the length of the segment RS is 9 units

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Answer:

8 tablets

Step-by-step explanation:

Answer:

8 tablets

Step-by-step explanation:

240/30

Answer:

-10x-6

Step-by-step explanation:

and simplify and add

The Solution.

The original price of the sneakers is $120.

A discount of 20% was given.

So, the discounted price of the sneaker is

Now, applying 8% sales tax, we get

So, the final price of the sneakers is

Therefore, the correct answer is $103.68

Steps to solve:

-5(-6 + 2c)

~Distribute

30 - 10c

Best of Luck!

9514 1404 393

Answer:

  -16.627

Step-by-step explanation:

It works well to use a calculator to evaluate this expression.

__

  = 9.61×(-2.7) +9.32 . . . . . . evaluate the difference first, then the square

  = -25.947 +9.32 . . . . . . . perform the multiplication

  = -16.627 . . . . . . . . . . . . finally, do the addition

The resistance in the bulb is 266.67ohms

Resistance is a measure of the opposition to current flow in an electrical circuit. Resistance is measured in ohms, symbolized by the Greek letter omega (Ω).

There are several factors that affects the resistance of a material. They are temperature, area of the conductor, length of the wire and nature of the material

from ohm's law V= IR

where V is the potential difference and I is the current.

R = V/I

R= 120/0.45

R= 266.67Ω

therefore the resistance of the light bulb is 266.67Ω.

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Answer:

C.

Step-by-step explanation:

It's the most reasonable answer.

Answer:

15wz² - 2wz³

Step-by-step explanation:

when collecting like terms the terms must have the same variables, with variables having the same exponents.

(15wz² + 3wz³) - 5wz³ ← remove parenthesis

= 15wz² + 3wz³ - 5wz³ ← collect like terms

= 15wz² + (3wz³ - 5wz³)

= 15wz² + (- 2wz³)

= 15wz² - 2wz³

Once you are satisfied with a model based on historical and diagnostic statistics you should respecify the model using all the available data.

As long as the data is pertinent and trustworthy, it is a good practice to incorporate all of the data available when constructing a statistical model. As more data reveals more information about the underlying relationships in the data, using more data can frequently result in a model that is more accurate and stable.

But it's vital to remember that the optimal model might not necessarily result from using all the data. Some of the data may be noisy or contain inaccuracies, which could make the model less accurate or stable. Before fitting the model in such circumstances, it could be required to carefully clean and preprocess the data. If a model is fit using the data, it should be evaluated using diagnostic statistics and validation techniques to ensure that it is a good fit and is able to predict future outcomes. If the model does not perform well, it may be necessary to refit the model using different specifications or a different modeling technique.

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Answer:

y = 12x - 45

Step-by-step explanation:

y = 12(x + 4)

y = 12x + 4      Slope = 12.  Two lines are parallel if their slopes are the same.

Use the slope and the given point (4,3) and substitute into the slope-intercept form and solve for b

y = mx + b

3 = 12(4) + b

3 = 48 + b

-45 = b

y = 12x - 45

Answer:

Step-by-step explanation:

        y = 12(x+4)

can be re written as

(y - 0) = 12(x + 4)

Which now is in the slope-point form where slope is 12 and the point is (-4, 0)

To get an equation for a parallel line through a different point. Just change the point to (4, 3)

(y - 3) = 12(x - 4)

This equation can be converted to the slope intercept form by expanding and combining terms

y - 3 = 12x - 48

y = 12x - 45

Answer:

-i. If you are using imaginary numbers.

Step-by-step explanation:

Answer:

  x = 1

Step-by-step explanation:

You want to know the value of x in the trapezoid with adjacent angles (43x+2)° and 135°.

The two marked angles can be considered "consecutive interior angles" where a transversal crosses parallel lines. As such, they are supplementary.

  (43x +2)° +135° = 180°

  43x = 43 . . . . . . . . . . . . . . divide by °, subtract 137

  x = 1 . . . . . . . . . . . . . . . divide by 43

The value of x is 1.

__

Additional comment

Given that the figure is a trapezoid, we have to assume that the top and bottom horizontal lines are the parallel bases.

<95141404393>

Area of sector would be,

⇒ Area of sector = 102.6 feet squared

We have to given that,

Radius of circle = 14 ft

Angle θ = 60°

Now, We know that,

Area of sector = [θ/360]πr²

Where, r is radius of circle.

Hence, We can substitute all the values, we get;

Area of sector = [θ/360]πr²

Area of sector = [60/360](22/7)(14)²

Area of sector = [1/6][22/7][196]

Area of sector = 102.6 feet squared

Thus, Area of sector would be,

⇒ Area of sector = 102.6 feet squared

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Answer:

a. For the function:

f(x) = { sin x/3, if x ≤ π

{ x√3/2π, if x > π

I. To find lim f(x) as x approaches π from the negative side, we need to evaluate f(x) for values of x that are slightly less than π. In this case, since sin(x/3) is a continuous function, we can simply evaluate it at x = π:

lim f(x) as x approaches π- = f(π-) = sin(π/3) = √3/2

II. To find lim f(x) as x approaches π from the positive side, we need to evaluate f(x) for values of x that are slightly greater than π. In this case, we can simply evaluate the other part of the piecewise function at x = π:

lim f(x) as x approaches π+ = f(π+) = π√3/2π = √3/2

III. To find lim f(x) as x approaches π, we need to check whether the left-hand and right-hand limits are equal. In this case, since both the left- and right-hand limits exist and are equal, we have:

lim f(x) as x approaches π = √3/2

b. For the function:

f(x) = (x^2 - 36)/√(x^2 - 12x + 36)

I. To find lim f(x) as x approaches 6 from the negative side, we need to evaluate f(x) for values of x that are slightly less than 6. In this case, we can substitute x = 6 - h, where h is a positive number approaching zero, to get:

lim f(x) as x approaches 6- = lim f(6 - h) as h approaches 0

Substituting x = 6 - h into the function, we get:

f(6 - h) = [(6 - h)^2 - 36]/√[(6 - h)^2 - 12(6 - h) + 36]

= [h^2 - 12h]/√[h^2]

Simplifying the numerator and denominator separately, we get:

f(6 - h) = h(h - 12)/|h|

Since h approaches 0 from the positive side, we have:

lim f(6 - h) as h approaches 0+ = lim h(h - 12)/h as h approaches 0+ = lim (h - 12) as h approaches 0+ = -12

II. To find lim f(x) as x approaches 6 from the positive side, we need to evaluate f(x) for values of x that are slightly greater than 6. In this case, we can substitute x = 6 + h, where h is a positive number approaching zero, to get:

lim f(x) as x approaches 6+ = lim f(6 + h) as h approaches 0

Substituting x = 6 + h into the function, we get:

f(6 + h) = [(6 + h)^2 - 36]/√[(6 + h)^2 - 12(6 + h) + 36]

= [h^2 + 12h]/√[h^2]

Simplifying the numerator and denominator separately, we get:

f(6 + h) = h(h + 12)/|h|

Since h approaches 0 from the positive side, we have:

lim f(6 + h) as h approaches 0+ = lim h(h +

Step-by-step explanation:

The complete diagram map is given as,
1 - 3
2 - 5,
3 - 7,
8 - 17,
10 - 21
100 - 201

Given that,
To complete the map diagram,

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

here,
The given map diagram follows the general term as nth term = 2n + 1
So for n = 3
= 2 [3] + 1
= 7
Similarly,

10th = 21
100th = 2001

For the value 17

17 = 2n + 1
n = 8
So the 8th term is 17 in the map diagram,

Thus, The complete diagram map has been shown.

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Answer:

the anwser is 100x69 yes

Hence, the derivative of \(g(x)=8x^5+x^4-5x^2+6\) is \(g`(-4)=10536\).

What is the derivative?

The derivative is a way to show instantaneous rate of change: that is, the amount by which a function is changing at one given point.

Here given function is

\(g(x)=8x^5+x^4-5x^2+6\)

So,

\(g`(x)=5(8x^4)+4x^3-2(5x)\\\\g`(x)=40x^4+4x^3-10x\\\\x=-4\\\\g`(-4)=40(-4)^4+4(-4)^3-10(-4)\\\\g`(-4)=40(256)+4(64)+40\\\\g`(-4)=10240+256+40\\\\g`(-4)=10536\)

Hence, the derivative of \(g(x)=8x^5+x^4-5x^2+6\) is \(g`(-4)=10536\).

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The graph that shows the solution of the system of inequalities is A y> -3  and y≤ -x

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.

We have been given graph,

we can see that shaded portion lies above the dotted line which shows open interval (y >-3 ).  

Here the graph lies below the line y= -x ,

Thus, the solution region will be y ≤ -x ,

hence, the solution region is given by system of inequalities ;

y> -3  and y≤ -x

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Answer:

Larger is -30

Smaller is -20

Step-by-step explanation:

-50/2 = -25

difference is -10

add 5 to one number minus 5 from the other

so

-25 - 5 = -30

-25 + 5 = -20

Hope this helps :)

Answer:

be careful how you answer this

the larger number (y) = - 20

the smaller number (x) = - 30  

Think money. Which would you rather be: 20 dollars in the hole or 30 dollars.

Step-by-step explanation:

x + y = -50

x - y =  -10                             Add

2x = - 60                               Divide both sides by 2    

2x/2 = -60/2                         Do the division

x = - 30

=============

-30 - y = - 10                         Substitute - 30 for x in the second equation

-30+30- y = -10 + 30            Add 30 to both sides

-y = +20                                Divide by -1 on both sides

y = - 20

Based on the information, the answer is A). While wages have increased, spending power has mostly remained the same since 2000.

The fact that the cost of living has also increased, eating up much of the gains from wage growth. In addition, many Americans are now working multiple jobs, which can leave them with less time and energy to spend money on discretionary items.

According to the Bureau of Labor Statistics, the average hourly wage for all workers in the United States increased by 16.3% between 2000 and 2021. However, the Consumer Price Index (CPI), which measures the cost of a basket of goods and services, increased by 26.5% over the same period. This means that the purchasing power of the average worker has actually declined by 10.2% since 2000.

The rise of the gig economy has also contributed to the decline in spending power. Many Americans are now working multiple jobs, often in low-wage industries such as food service and retail.

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While wages have increased, spending power

a)has mostly remained the same since 2000

b) as wages go up, so does spending power

c) the spending power of men is less than the spending power of the overall population

d) the wages of women have increased faster than the wages of men

The percent change in the number of water bottles the company manufactured from February to April is 19.5%, to the nearest percent.

A % is a quantity or ratio that, in mathematics, represents a portion of one hundred. A dimensionless relationship between two numbers can be represented in a variety of ways, such as through ratios, fractions, and decimals.

The total number of water bottles the company manufactured in February, March, and April.

In February, the company manufactured 4,100 water bottles. In March, the company manufactured 7% more water bottles than in February, which is 7/100 * 4,100 = 287 water bottles.

Therefore, the total number of water bottles the company manufactured in March is 4,100 + 287 = 4,387 water bottles. In April, the company manufactured 500 more water bottles than in March, which is 4,387 + 500 = 4,887 water bottles.

This is calculated as (4,887 - 4,100) / 4,100 = 0.195 or 19.5%.

Therefore, the percent change in the number of water bottles the company manufactured from February to April is 19.5%, to the nearest percent.

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Answer:

A: m<BOD = 95°

O: m<AOC = 75°

R: m<AOD = 113°

T: m<GUH = 61°

M: m<GUI = 92°

E: m<EUF = 37°

F: m<EUI = 160°

K: m<MAN = 30°

I: m<LAM = 40°

S: m<KAM = 80°

H: m<JAN = 140°

N: m<KAN = 110°

✅I STINK THEREFORE I HAM

Step-by-step explanation:

A: m<BOD = 57° + 38° = 95°

O: m<AOC = 18° + 57° = 75°

R: m<AOD = 18° + 57° + 38° = 113°

T: m<FUG = 31°, since, FUG ≅ HUI, therefore, m<HUI = 31°

m<FUI = 123°

m<GUH = m<FUI - (m<FUG + m<HUI)

m<GUH = 123° - (31° + 31°)

m<GUH = 61°

M: m<GUI = m<GUH + HUI

m<GUI = 61° + 31°

m<GUI = 92°

E: m<EUH = 129° (given)

m<EUF = m<EUH - (m<FUG + m<GUH)

m<EUF = 129° - (31° + 61°)

m<EUF = 37°

F: m<EUI = m<EUF + m<FUG + m<GUH + m<HUI

m<EUI = 37° + 31° + 61° + 31°

m<EUI = 160°

K: since <JAK ≅ <MAN, and m<JAK is given as 30°, therefore,

m<MAN = 30°

I: m<JAM = 110° (given), m<JAK = 30° (given)

Since <KAL ≅ <LAM, therefore,

m<LAM = ½(m<JAM - m<JAK)

m<LAM = ½(110° - 30°)

m<LAM = 40°

S: m<KAM = m<KAL + m<LAM

Since <KAL ≅ <LAM, therefore,

m<KAM = 40° + 40°

m<KAM = 80°

H: m<JAN = m<JAK + m<KAL + m<LAM + m<MAN

m<JAN = 30° + 40° + 40° + 30°

m<JAN = 140°

N: m<KAN = m<KAL + m<LAM + m<MAN

m<KAN = 40° + 40° + 30

m<KAN = 110°

Place the letters on the appropriate lines given to match the angle measure we've cakcukated, to figure out the joke.

✅We would have:

I STINK THEREFORE I HAM

Answer:

you need  thing like bills need to be sent to you so you can pay them , if you use your friends adrdress you wont have easy acesses to to all of that information which isnt  a good thing in the long run

Step-by-step explanation:

Answer:

Step-by-step explanation:

1  13/24

Answer:

31 quarter inches long

Step-by-step explanation:

First, there are four quarters in a fraction, so we have to do 7 x 4 to get 28. Then, you have to add 3 + 28 to get your answer, because of the remaining 3/4

Hope this helps!

Therefore, the closest option to the calculated percentage is option (d) 44%.

Percent, denoted by the symbol "%", is a way of representing a fraction or proportion out of 100. It is used to express a part of a whole in terms of hundredths. For example, 50% is the same as 50 out of 100, which simplifies to 1/2 or 0.5 as a decimal. Percentages are commonly used in many areas such as finance, statistics, and everyday life to express changes, rates, or comparisons.

Here,

To calculate the percentage of customers who prefer cookies, we need to add up the number of customers who prefer cookies from each survey and divide it by the total number of customers who took the survey.

Number of customers who prefer cookies: 25 + 9 + 28 + 11 = 73

Total number of customers who took the survey: 17 + 11 + 20 + 13 + 25 + 8 + 9 + 30 + 26 + 11 = 170

Percentage of customers who prefer cookies: (73/170) x 100% ≈ 44%

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