Solve -27 19 - 2x.
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-27 19 - 2x
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-27-
23
-
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= -2x
1 = x
19-
-2x

Answer: x=10

Step-by-step explanation:

1) Note that the altitude of the top of the hill is -136 feet above sea level.

2) Note that Checkpoint 1 is 3,558 feet higher than Checkpoint 5.

Altitude or height is a distance measurement between a reference datum and a point or object, generally in the vertical or "up" direction. The precise definition and reference datum vary depending on the circumstance.

1) Checkpoint 4 has an altitude of -202 feet above sea level. The top of the hill rises 66 feet above Checkpoint 4. Therefore, the altitude of the top of the hill is:

-202 + 66 = -136 feet

So, the altitude of the top of the hill is -136 feet above sea level.

2) To find the difference in altitude between Checkpoint 1 and Checkpoint 5, we need to subtract the altitude of Checkpoint 5 from the altitude of Checkpoint 1.

Altitude difference = Altitude of Checkpoint 1 - Altitude of Checkpoint 5

Substituting the values given in the table, we get:

Altitude difference (AD) = 3,459 - (-99)

AD = 3,459 + 99

Thus, AD = 3,558

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Answer:

268 pounds

Step-by-step explanation:

Two unit multipliers to be used for this unit conversion:

[tex]\frac{7.48 gallons}{1ft^{3}}[/tex] and [tex]\frac{8.33 pounds}{1 gallon}[/tex]

4.3 cubic feet = [tex](4.3ft^{3})[/tex]×[tex](\frac{7.48 gallons}{1ft^{3}})[/tex] ×[tex](\frac{8.33 pounds}{1ft^{3}})[/tex]

                     
The cubic feet units in the numerator and denominator will cancel each other out. The gallons units in the numerator and denominator will cancel each other out.
             = 268  pounds of water (Rounded to 3 significant figures)

Step-by-step explanation:

(x-2)(x-2)-4x

x²-2x-2x +4-4x

x²-4x-4x +4

x²-8x+4

Answer:

 4x - (x - 2)² = 4x - x² + 4 = 3x + 4

Step-by-step explanation:

Recall that the complex norm (or modulus) of a complex number z = a + bi is defined as the nonnegative square root of the product of the complex number and its conjugate, i.e., |z| = √(z × z*), where z* is the complex conjugate of z.

Using this definition, we can calculate the complex norm of each of the given complex numbers as follows:

A complex number is a number that can be expressed in the form [tex]a + bi[/tex], where a and b are real numbers, and i is the imaginary unit defined by [tex]i^{2} = -1[/tex]. The real part of the complex number is a, and the imaginary part is bi.

Complex numbers can be added, subtracted, multiplied, and divided in a manner similar to real numbers. They can also be graphed on a complex plane, where the horizontal axis represents the real part and the vertical axis represents the imaginary part.

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Answer:

$3.00

Step-by-step explanation:
The drinks for the first family were 4, and the drinks for the second were 3. They were 2 numbers apart in price and so that means that they costed around $1. Minus a drink on the first to get $17.00. Now tell how far apart it is.

The value of x in the given equation using laws of exponents is; x = 512

The different laws of exponents include;

1) Product of powers rule.

2) Quotient of powers rule.

3) Power of a power rule.

4) Power of a product rule.

5) Power of a quotient rule.

6) Zero power rule.

7) Negative exponent rule.

We have the equation as;

x^(2/3) = 64

We can write 64 as (∛512)²

This can be further expressed as;

512^(2/3)

Thus, we have;

x^(2/3) = 512^(2/3)

Thus, by identity rule;

x = 512

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The formula of the area of the trapezium as subject to x is,

x = 2A/h - y.

Two algebraic expressions having the same value and symbol '=' in between are called an equation.

Given:

The area of the trapezium,

A = (1/2)h(x + y)

To make x the subject of the equation:

2A/h = (x + y)

2A/h - y = x

x = 2A/h - y

Therefore, the formula is x = 2A/h - y.

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Answer:

Given value is Rational. The value is 2.06

Step-by-step explanation:

Answer: Rational.

Step-by-step explanation:

An irrational number is one that terminates forever, and cannot be expressed as a fraction. 68/33 is a fraction, therefore it's rational. Irrational can be values like pi, which do not have a ratio form (e.g. fraction).

The number of pages in the book is given by the inequality 90 < A < 96 , where A is the number of pages

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the number of pages in the book be A

And , it is more than 90 and less than 96

So , the value of A is { 91 , 92 , 93 , 94 , 95 }

On simplifying , we get

90 < A < 96 , where A is the number of pages

Hence , the inequality is 90 < A < 96

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Answer:

ummmm i would say unbiased fam only bc i love ice cream and i always wonder whichwtch one does people like more.

Step-by-step explanation:

Answer:  do you need me to answer all or anthor example.

Step-by-step explanation:

I will answer

Answer:

5

_ y - 7

3

the five is floating for some reason its supposed to be under the line

The function of the number of hours of operation of the assembly line will be 2772 + 110[17t - 1/2t²].

The cost of the first 2 hours of operation will be $6292

From the information, A(t) = 17t - 1/2t² power lawn mowers, 10 and we suppose that the factory's cost of manufacturing units is C(x) after hours of operation, an assembly line has assembled C(x) = 2772 + 110x.

Therefore, the (composite) function of the number of hours of operation of the assembly line will be:

= 2772 + 110[17t - 1/2t²]

The cost of the first 2 hours of operation will be:

2772 + 110[17t - 1/2t²]

= 2772 + 110[17 × 2 - 1/2 × 2²

= 2772 + 110(34 - 2)

= $6292

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Answer:

  B)  2:3

Step-by-step explanation:

If you have mercury : copper = 1 : 5 and tin : copper = 3 : 10, you want the ratio of mercury to tin.

The ratios can be compared or combined when common components are represented by the same number. Doubling the values in the first ratio, we will have two ratios that both have 10 parts copper.

  mercury : copper = 1 : 5 = 2 : 10

Then ...

  mercury : tin : copper = 2 : 3 : 10

You need 2 parts mercury to 3 parts tin.

  mercury : tin = 2:3 . . . . . . choice B

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The range and interquartile range is 11 and 2 respectively. The score that corresponds to the 75th percentile and the score that corresponds to the 25th percentile is 7 and 4 respectively.

To calculate the range, we subtract the smallest value from the largest value:

Range = Largest Value - Smallest Value = 12 - 1 = 11

To calculate the interquartile range, we first need to find the first and third quartiles. We can do this by ordering the scores from lowest to highest and finding the median of the lower half and upper half of the scores, respectively:

1, 4, 5, 5, 6, 6, 7, 12

The median of the lower half (Q1) is the middle value of the numbers 1, 4, 5, and 5, which is 4.5 (the average of the two middle values).

The median of the upper half (Q3) is the middle value of the numbers 6, 6, 7, and 12, which is 6.5.

Interquartile Range = Q3 - Q1 = 6.5 - 4.5 = 2

To find the score that corresponds to the 75th percentile, we first need to find the index corresponding to the 75th percentile. We can do this by multiplying 0.75 by the total number of scores, which is 8. This gives us an index of 6, meaning the 75th percentile score is the 6th score in the ordered list:

1, 4, 5, 5, 6, 6, 7, 12

The score that corresponds to the 75th percentile is 7.

To find the score that corresponds to the 25th percentile, we can follow the same procedure. The index corresponding to the 25th percentile is 0.25 times the total number of scores, or 2. The 2nd score in the ordered list is 4.

The interquartile range is a better description of variability in the data than the range because the range is heavily influenced by outliers. In this case, the range is 11, which is largely driven by the outlier score of 12. The interquartile range, on the other hand, only considers the middle 50% of the scores and is therefore less affected by outliers. It gives a more accurate measure of the spread of the scores around the median.

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Answer: X= -66

Step-by-step explanation:

If m angle UYV=56

Then WYX= -x-10=56

then X=-66

The requried hours spent babysitting and tutoring are 5 and 8 hours respectively.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Let the hours spent babysitting and tutoring be x and y respectively,
According to the quesiton,

Mark gets paid $6 per hour for babysitting and $15 an hour for tutoring. He makes $150 in one week.
6x + 15y = 150 - - - -(1)

John Makes $10 an hour babysitting and $8 an hour tutoring and gets paid a total of $114.
10x + 8y = 114 - - - - -(2)

Solving above equations 1 and 2 by elimination method we get x = 5 and y = 8

Thus, the requried hours spent for babysitting and tutoring are 5 and 8 hours respectively.

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Answer:

6x - 5y

Step-by-step explanation:

( remove the unnecessary parentheses)

= 5x + 5y + x - 10y

= 6x + 5y - 10y

= 6x + 5y

Answer:

Step-by-step explanation:

The profit the PTO makes from selling raffle tickets can be calculated by subtracting the cost of the tickets from the total revenue generated from ticket sales.

Let's first calculate the total revenue:

Number of tickets sold = 200

Price per ticket = $4

Total revenue = 200 * $4 = $800

Next, let's calculate the cost of the tickets:

Number of tickets sold = 200

Price per ticket = $4

Total cost = 200 * $4 = $800

Finally, we can calculate the profit by subtracting the cost of the tickets from the total revenue:

Profit = Total revenue - Total cost

Profit = $800 - $800 = $0

So, the PTO makes no profit from selling the raffle tickets. This is because the cost of the tickets and the prize are equal, and there are no other expenses. In this scenario, the prize money of $76 is given away to the winner, so the PTO does not get to keep the money for classroom supplies.

Inability to sleep properly for weeks  is a warning sign that someone needs the help of a mental health professional. Correct option is C.

Difficulty sleeping, or insomnia, can be a warning sign that someone needs the help of a mental health professional. Insomnia can be caused by a number of mental health conditions, such as anxiety, depression, or post-traumatic stress disorder (PTSD), as well as other factors such as stress, poor sleep habits, or physical health problems.

Feeling shy when asked to walk onstage and overeating to increase bodily strength may be signs of anxiety or other emotional or psychological issues, but they are not necessarily warning signs that someone needs the help of a mental health professional.

However, if these behaviors are causing significant distress or interfering with daily life, it may be a good idea to seek the help of a mental health professional.

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The equation is slope-intercept form is equal to y = 5x - 3.

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

Based on the information provided, we can logically deduce the following data points on the line:

At point (0, -3), a linear equation of this line can be calculated in slope-intercept form as follows:

y - (-3) = (2 + 3)/(1 - 0)(x - 0)

y + 3 = 5x

y = 5x - 3.

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[tex]\begin{array}{ccll} words&minutes\\ \cline{1-2} 90 & 4\\ x& 10 \end{array} \implies \cfrac{90}{x}~~=~~\cfrac{4}{10} \\\\\\ \cfrac{ 90 }{ x } ~~=~~ \cfrac{ 2 }{ 5 }\implies 450=2x\implies \cfrac{450}{2}=x\implies 225=x[/tex]

The solution is, (17)(0.25)(4) = 17.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

given that,

(17)(0.25)(4)

=(17)*1

=17

at first we have to multiply the last two terms i.e. (0.25) and (4), then, we multiply the result 1 with 17, and get the result 17.

Hence, The solution is, (17)(0.25)(4) = 17.

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Answer:

Below

Step-by-step explanation:

One leg would be    hyp * cos 30   and one would be  hyp cos 60

                   hyp cos 30 : hyp cos 60

                           cos 30 : cos 60

                      =   ratio     sqrt (3) /2  :  1/2     or     sqrt 3  : 1

Answer:13

Step-by-step explanation:

r = circumference/2pi

81.64/6.28 = 13

The radius of the garden is 13 units.

Answer:

will earn in interest $ 180

Answer:

Step-by-step explanation:

The answer is d. f(x) = 3 (x-4) (x+2).

The domain and the range of the ordered pairs in interval notations are as follows: 1) Domain = [0,4], Range = [1,5]   ; (2) Domain [-1,-4], Range =[0,-3]

The domain of a function is the collection of all conceivable values that may be used as inputs, or alternatively, it is the whole array of possible values for independent variables.

The range of a function is the set of every possible value for the dependent variable's outcomes, or the whole set of all possible values when the domain is substituted.

In a set of ordered pairs (x,y), the domain (input) refers to all the x-values and the range refers to all the y-values.

From the points on the graph given:

(0,1) (1,2) (2,3) (3,4) (4,5)

Domain: (0, 1, 2, 3, 4)

Range: (1, 2, 3, 4, 5)

(-1,0) (-2,-1) (-3,-2) (-4,-3)

Domain: ( -1, -2, -3, -4)

Range: (0, -1, -2, -3)

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The change in potential energy of the apple during the fall was approximately 13.72 joules.

One of the two types of energy is potential energy, which is the latent energy in an object at rest. Kinetic energy, on the other hand, is the energy that an item in motion expresses.

The formula: can be used to determine the change in potential energy (PE) of a mass m object that falls a distance h from the Earth's surface.

ΔPE = mgh

where g is the acceleration brought on by gravity close to Earth's surface, which is roughly 9.8 m/s^2.

In this instance, the apple weighs 0.2 kg, falls 7 metres, and accelerates by gravity at a rate of 9.8 m/s^2. So, the potential energy change is as follows:

PE is equal to (0.2 kg) times (9.8 m/s^2) times (7 m) Equals 13.72 joules (J)

As a result, the apple's potential energy changed by around 13.72 joules during the fall.

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