15x - 9 = -69 i need help :0 if i dont get this right the world could end

Answer:

21

Step-by-step explanation:

we know that according to the isosceles triangle theorem, that the angles of the triangle are 90, 2x+3, 2x+3

from the triangle angle sum theorem, we know that 4x+6 = 90

solving, we get 4x=84, x=21

Answer:

isosceles + a right angle, so both angles at the bottom are the same and equal to (2x+3).

so we have 180 degrees = 90 + (2x+3) + (2x+3)

so x = 21

Answer:

C

Step-by-step explanation:

f(5) means we must plug in 5 wherever we see an x in the function.

\(f(x) = \frac{1}{9} 3^{x}\)

\(f(5) = \frac{1}{9} 3^{5}\)

\(f(5) = \frac{1}{9} * 243\)

\(f(5) = \frac{243}{9} = 27\)

So f(5) = 27! The answer is C.

Answer:

The volume of prism A is the same as the volume of prism B.

Step-by-step explanation:

Given

See attachment for prisms

Required

Compare the volume of both

First, we calculate the volume of both prisms.

Prism A is a rectangular prism.

So, its volume is:

\(V_A = Length * Base * Height\)

Where

\(Length \to a\)

\(Base \to b\)

\(Height \to h\)

So:

\(V_A = abh\)

For Prism B, we have:

\(Volume = Base\ Area * Height\)

Where

\(Base\ Area = Length * Base\)

and

\(Length = a\)

\(Base = b\)

So:

\(Base\ Area = a * b\)

\(Base\ Area = a b\)

The volume is then calculated as:

\(Volume = Base\ Area * Height\)

\(V_B = ab * Height\)

Where

\(Height \to h\)

So:

\(V_B = ab * h\)

\(V_B = abh\)

By comparison:

\(V_A = V_B = abh\)

The number of students taking classes at Zeke's Karate altogether is 108 students.

Given that, at Zeke's Karate, there are 5 times as many youth students as adult students taking classes this session.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

The ratio of youth students to adult students is x:5x.

If there are 72 more youth students than adult students this session

So, 5x=x+72

⇒ 5x-x=72

⇒ 4x=72

⇒ x=18

Now, 5x=5×18 =90

Total students = 18+90=108

Therefore, the number of students taking classes at Zeke's Karate altogether is 108 students.

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Based on Gru's schemes the probability that a. less than 101 schemes will succeed: 0.9983; b. more than 95 schemes will succeed: 0.0018; c. between 95 and 101 schemes will succeed: 0.9966.

Gru's schemes have a 7% chance of succeeding. Total number of Gru's schemes = 1100.

Using binomial distribution, we can find out the probability of number of successes in n number of trials.

Probability of success in each trial p = 0.07

Probability of failure in each trial q = 1 - 0.07 = 0.93

a) Probability that less than 101 schemes will succeed.

Total number of trials n = 1100

P(X < 101) = P(X ≤ 100)

P(X ≤ 100) = ∑P(X = x) for x = 0, 1, 2, ..., 100

Now we can use normal distribution to approximate this probability as the sample size is large enough to apply central limit theorem. So,

mean (μ) = np = 1100 × 0.07 = 77

standard deviation (σ) = √[npq] = √[1100 × 0.07 × 0.93] = 7.233

Using standard normal distribution,

Z = (X - μ) / σ

Z = (100 + 0.5 - 77) / 7.233 = 2.99

So, P(X ≤ 100) = P(Z ≤ 2.99)

From standard normal distribution table,

P(Z ≤ 2.99) = 0.9983

Therefore, P(X < 101) = P(X ≤ 100) = 0.9983

b) Probability that more than 95 schemes will succeed.

P(X > 95) = P(X ≥ 96)

P(X ≥ 96) = ∑P(X = x) for x = 96, 97, ..., 1100

Now we can use normal distribution to approximate this probability as the sample size is large enough to apply central limit theorem. So,

mean (μ) = np = 1100 × 0.07 = 77

standard deviation (σ) = √[npq] = √[1100 × 0.07 × 0.93] = 7.233

Using standard normal distribution,

Z = (X - μ) / σ

Z = (96 - 0.5 - 77) / 7.233 = 2.91

So,

P(X ≥ 96) = P(Z ≥ 2.91)

From standard normal distribution table,

P(Z ≥ 2.91) = 0.0018

Therefore, P(X > 95) = P(X ≥ 96) = 0.0018

c) Probability that between 95 and 101 schemes will succeed.

P(95 ≤ X ≤ 101) = P(X ≤ 101) - P(X < 95)

P(X < 95) is already calculated in (a).

P(X ≤ 101) = 0.9983

Therefore,

P(95 ≤ X ≤ 101) = P(X ≤ 101) - P(X < 95) = 0.9983 - 0.0017 = 0.9966

Hence, the probability that less than 101 schemes will succeed is 0.9983. The probability that more than 95 schemes will succeed is 0.0018. The probability that between 95 and 101 schemes will succeed is 0.9966.

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The expression the company can use to determine the money they spend on batteries in a given day would be 3000b + 2500b.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division. The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol.

We have been given that Machine Alpha uses 3000 batteries a day in the clocks it makes and Machine Delta uses 2500 batteries a day in the clocks it makes.

Machine Alpha = 3000b

Machine Delta = 2500b

Let b dollars represents costs of each battery.

Then the expression the company that can use to determine the money they spend on batteries in a day as;

3000b + 2500b

Hence, the expression the company can use to determine the money they spend on batteries in a given day would be 3000b + 2500b.

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I am not 100% this is correct but this should be it. Hope this helps!

5) $4,000 is to low to get any commission meaning we must put it at 0

6) For $8,000, we have enough to start getting commission on our first $5,000. However, $8,000 doesn't match up to $10,000 or $15,000 so we have to leave the two rows with a 0 and total commission is $250 because our only commission is $250.

7) $18,000 lets us fill in all rows, first ill fill in the first 2 rows, $5,000 * 5% = $250. In addition, $10,000 * 8% = 800. So right now we have $1,050. However we need to get commission for anything over $18,000, so I do $18,000 - $15,000 = $3,000. Now to find the commission, $3,000 * 10% = $300. Now we found the commission, we need to add it all up to find the total. $1,050 + $300 = $1,350.

8) We already know our first two rows is $1,050, so lets not waste time and start the third. $27,500 - $15,000 = $12,500. Now, $12,500 * 10% = $1,250. Lastly, $1,050 + $1,250 = $2,300

The length of DB, AD and AC are 24 m, 32 m, 42 m respectively. The measurement of ∠C = 67.38°.

What is a right angle triangle?

A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangled triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.

Given that, in △BCD

BD = 24 m

DC = 10 m

BC = 26 m

△BCD is a right angle triangle.

The trigonometry ratio of sine is ratio of height to hypothenuse.

With respect to C, the height of △BCD is 24m and hypothenuse is 26m.

sin C = height/hypothenuse

sin C = 24/26

C = 67.38°

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Answer: Two Postive solutions

Step-by-step explanation:

Interpreting data involves analyzing the information presented and drawing conclusions or making predictions based on that information.

What is data ?

Data is a collection of facts, observations, measurements, or descriptions of something that can be used to analyze, understand, or make decisions.

Displaying and interpreting data is an important part of understanding and communicating information. Here are some common ways of displaying and interpreting data:

Tables: Tables are a common way of organizing and displaying data. They can be used to show different categories of data, such as the number of students in a class by grade level or the sales of different products by month.

Bar graphs: Bar graphs are used to compare different categories of data. The height of each bar represents the value of the data for that category. Bar graphs can be vertical or horizontal.

Line graphs: Line graphs are used to show trends over time. The x-axis represents time and the y-axis represents the value of the data. Line graphs can be used to show changes in temperature over the course of a day or changes in the stock market over the course of a year.

Pie charts: Pie charts are used to show the proportion of different categories of data. The circle represents the whole and each slice represents a percentage of the whole.

Mean, median, and mode: Mean, median, and mode are measures of central tendency that can be used to describe a set of data. The mean is the average of all the data points, the median is the middle value when the data is arranged in order, and the mode is the most common value.

Therefore, Interpreting data involves analyzing the information presented and drawing conclusions or making predictions based on that information.

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Completed question:

Define Displaying and Interpreting Data.

Answer:

If hanging Christmas lights around the garage door is on your holiday to do list, make sure to do it right. Decorating shouldn't be a once-a-year activity that does permanent damage to your home or your body.

When it comes to hanging holiday lights around your garage door, use clips and hooks specifically designed for the task. Avoid using metal fasteners like staples or nails if you are attaching lights directly to the trim; the metal can damage the wiring and create a fire or electrocution hazard. Instead, clip the plastic fasteners to the light string and attach the plastic fasteners to your trim. This way the clips can remain throughout the year, and lights are more easy to hang in the holidays to come.

For the vertical runs, find the trim clips that wrap around the light string and hold it into place (this is particularly important for our Sioux City and Yankton breezes and blizzards). Aim for a clip every 12 inches or so. Some homeowners choose to nail the clips for stability; others use a removable adhesive.

If you are continuing to light up your house with lights around your roof and gutter lines, there are other items that can help make this process easier. Roof and gutter clips can be pressed directly onto the home's exterior; they typically have a hook at the bottom that grabs the light string. Please be very careful when working on high and precarious locations!

Answer:261

Step-by-step explanation:i don’t rlly know how to explain

Answer:

120 one scoop cones

Step-by-step explanation:

Answer:

D) is your correct answer

Muscular strength can be measured based on the amount of weight lifted.

Muscular strength can be measured based on the amount of weight lifted. The upper-body and lower-body strength are measured separately. Muscular strength is typically measured which is known as a One Rep Max (1RM).

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The shaded region is between the two horizontal lines, but does not include the lines themselves. Here's a graph of the solution:

  |

8__|_________________

  |                 |

  |                 |

3__|_________________|

  |

  |_________________

     <--- --->

      x-axis

An inequality is a mathematical statement that compares two values, expressing that one value is greater than, less than, or equal to the other. Inequalities use inequality symbols such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to) to indicate the relationship between the two values. Inequalities are commonly used in algebra and are used to describe ranges of values that satisfy a given condition or set of conditions.

Here,

The solution for the given linear inequality system includes all the points that satisfy the two inequalities y < 8 and y > 3. To graph the solution, we need to shade the region that satisfies both inequalities.

The inequality y < 8 represents all the points below the horizontal line passing through y = 8, but not including the line itself.

The inequality y > 3 represents all the points above the horizontal line passing through y = 3, but not including the line itself.

Therefore, the solution for the given system is the shaded region between the two horizontal lines, excluding the lines themselves.

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Hence, the coefficient of x^6 in the Taylor series expansion of f(x) = sin(x^2) about x = 0 is -10/3.

To find the coefficient of x^6 in the Taylor series expansion of f(x) = sin(x^2) about x = 0, we can use the formula for the nth derivative of sin(x^2):

f^(n)(x) = (2n-1)!! sin(x^2) + 2^n x^2 (2n-1)!! cos(x^2)

where !! represents the double factorial function. The double factorial function is defined as:

n!! = n(n-2)(n-4) ... (3)(1) if n is odd

n!! = n(n-2)(n-4) ... (4)(2) if n is even

Since we want to find the coefficient of x^6, we need to find the seventh derivative of f(x):

f^(7)(x) = (12x^6 - 336x^4 + 1680x^2 - 1680) sin(x^2) + 64x^7 cos(x^2)

Now, we can evaluate the seventh derivative at x = 0:

f^(7)(0) = -1680

Finally, we can use the formula for the coefficient of the nth term in the Taylor series expansion:

a_n = f^(n)(0) / n!

Therefore, the coefficient of x^6 is:

a_6 = f^(7)(0) / 7!

= -1680 / (7!)

= -10/3

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The three (3) possible combinations are

Alex should 20 hats and 20 scarves

Let the number of scarves be x and y be the number of hats

He can make at most 20 hats and 30 scarves, but no more than 40 items altogether

x ≤ 20

y ≤ 30

x + y ≤ 40 (in time of market)

x + y ≥ 25

The possible combinations are

He should choose the third option x = 20, y = 20 this allows him to take more products to the show

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Answer:

However, when you look at the restrictions for the function, you see that the square root portion of the function is only valid when x > 5. If x < or = 5, the other part of the function is valid, and because it has no square root or denominator, all real numbers are valid as the domain for this piecewise function....!!!

Based on the data collected from the random surveys of parents and teachers, Melody and Wilmer can make a comparative inference regarding their preferences before meeting with the principal.

Melody and Wilmer conduct random surveys among parents and teachers to gather data on their preferences. They organize and analyze the collected data, identifying trends, similarities, and differences between the preferences of the two groups. Using the findings, they draw a comparative inference, which is a conclusion based on the observed trends and differences in the preferences of parents and teachers. With this comparative inference, Melody and Wilmer can present well-informed suggestions or insights to the principal during their meeting.

The comparative inference is a conclusion derived from the analysis of the survey data, highlighting the similarities and differences in the preferences of parents and teachers. This inference will help Melody and Wilmer make well-informed decisions when meeting with the principal.

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To make a comparative inference based on the data collected from the random surveys conducted by Melody and Wilmer, it is important to analyze the responses received from the parents and teachers.

By conducting the random surveys, Melody and Wilmer have gathered valuable insights into the preferences of the parents and teachers, which can be used to make informed decisions.
To start with, Melody and Wilmer can analyze the data collected from the surveys to identify common preferences and trends among the respondents. They can then use this information to make a comparative inference about what the majority of the parents and teachers want.

For instance, if a majority of the parents and teachers indicated that they preferred a more interactive and engaging learning environment, Melody and Wilmer can infer that the principal needs to focus on incorporating more interactive teaching methods. Similarly, if the majority of the respondents indicated that they preferred more extracurricular activities, the principal could prioritize the expansion of the school's extracurricular programs.

Overall, by conducting random surveys and analyzing the data, Melody and Wilmer can make comparative inferences that can help the principal make informed decisions that align with the preferences of the parents and teachers.

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Answer:

7/12.

Step-by-step explanation:

=x/x+5.

x-5/x+5+4=⅛

x-5/x+9=⅛

x-5=⅛(x+9)

x-5=⅛x+1⅛

x-⅛x=1⅛+5

⅞x=49/8

7x=49

x=7

thus the initial fraction is x/x+5= 7/12

A rational number is a fraction

The monthly payment for the 24-month installment plan to borrow $4,000 with an interest rate of 8% per year is approximately $176.65.

To calculate the monthly payment for the 24-month installment plan, we need to use the formula for calculating the monthly payment on a loan. The formula is:
M = P * (r * (1+r)ⁿ) / ((1+r)ⁿ⁻¹)
Where:
M is the monthly payment
P is the principal amount (in this case, $4,000)
r is the monthly interest rate (8% per year = 0.08/12 = 0.0067 per month)
n is the total number of payments (24)

Plugging in these values into the formula, we get:

M = 4000 * (0.0067 * (1+0.0067)²⁴) / ((1+0.0067)²⁴⁻¹)
Simplifying the equation, we find that the monthly payment will be approximately $176.65.

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Answer:

the second answer should be correct

Step-by-step explanation:

:)

Answer:

second option

Step-by-step explanation:

Answer: No

Step-by-step explanation:

No, because it does not add the same value every time

Answer:

No

Step-by-step explanation:

The left side does add up the same each time (+1) but the right side does not as it adds +2 +2 +4 +8 +16

Answer:

Original Price = Sale Price / ( 1 - Percent Off / 100 )

                       = 57.75 / (1 - 30/100)

                       = 57.75 / (1 - 0.3)

                       = 57.75 / 0.7

                       = $82.50

Original price = $82.50

To calculate the optimal profit, we need to find the value of D when the total cost is \($30,500\) and then substitute it into the given equation.

To find D, we can rearrange the equation to solve for D: Given:\(p = 180 - 0.2D\) and total cost =\($30,500\) Now, substitute the total cost ($30,500) into the equation to find D:

Since D cannot be negative in this context, it means that the given equation is not applicable for a total cost of \($30,500\). it is not possible to calculate the optimal profit using the given equation and the total cost of \($30,500\).

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Answer: 1.26

Step-by-step explanation:

Since he bought a 18 gallon tank of gas with regular fuel for 55.08.

The station across the street sold regular fuel for 2.99 per gallon. A 18 gallon tank will cost:

= 18 × 2.99

= 53.82

The amount that could have been saved would be:

= 55.08 - 53.82

= 1.26

Answer:

-69

Step-by-step explanation:

JL, LK, JK are the smallest angle of a triangle is located across from its smallest side. The biggest side is on the other side of the biggest side.

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Here, we are required to determine the point where point H lie on the number line.

The point H is at point 2.5 on the number line.

The distance between point F and G on the number line is:

4 - (-2) = 6 numbers on the number line.

And since the ratio of FH to HG is 3:9

Therefore; FH/HG = (4 - x)/(x - (-2))

i.e 3/9 = (4 - x)/ (x +2).

By cross multiplication, 3x + 6 = 36 - 9x.

Therefore, 12x = 30

and, x = 2.5

Therefore, the point H is at point 2.5 on the number line.

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Answer:

2.5

Step-by-step explanation: