x/-3-19=-24
find out x

Answer:

Step-by-step explanation:

Plot 213, −56, and −312 on the number line.

Using it's concept, it is found that there is a 0.8606 probability that the driver was not intoxicated.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Researching the problem on the internet, it is found that there are 62 + 76 + 254 + 598 = 990 deaths, of which 254 + 598 = 852 did not involve an intoxicated driver, hence the probability is given by:

p = 852/990 = 0.8606

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The given equation: r(t) = (8 sin t) i + (6 cos t) j + (12t) k gives the position of a particle in space at time t. The velocity of the particle at time t can be calculated using the derivative of the given equation: r'(t) = 8 cos t i - 6 sin t j + 12 k We know that acceleration is the derivative of velocity, which is the second derivative of the position equation.

The magnitude of the velocity at time t is given by:|r'(t)| = √(8²cos² t + 6²sin² t + 12²) = √(64 cos² t + 36 sin² t + 144)And the direction of the velocity is given by the unit vector in the direction of r'(t):r'(t)/|r'(t)| = (8 cos t i - 6 sin t j + 12 k) / √(64 cos² t + 36 sin² t + 144)Similarly, the magnitude of the acceleration at time t is given by:|r''(t)| = √(8²sin² t + 6²cos² t) = √(64 sin² t + 36 cos² t)And the direction of the acceleration is given by the unit vector in the direction of r''(t):r''(t)/|r''(t)| = (-8 sin t i - 6 cos t j) / √(64 sin² t + 36 cos² t)Therefore, the velocity vector is: r'(t) = (8 cos t i - 6 sin t j + 12 k) / √(64 cos² t + 36 sin² t + 144)The acceleration vector is: r''(t) = (-8 sin t i - 6 cos t j) / √(64 sin² t + 36 cos² t)

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Answer:

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A boy is cycling such that the wheels of the cycle are making 140 revolutions per minute. If the diameter of the wheel is 60cm, calculate the speed per hour with which the boy is cycling.

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Solution

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Radius of the wheel =r=

2

60

=30 cm

Circumference of the wheel =2πr=2×

7

22

×30=

7

1320

cm

Distance covered in 1 revolution =

7

1320

cm

Distance covered in 140 revolutions =

7

1320

×140=26400 cm=264 m=

1000

264

km

Distance covered in one minute = Distance covered in 140 revolutions =

1000

264

km

Distance covered in 1 hour =

1000

264

×60=15.84 km

Hence, the speed with which the boy is cycling is 15.84km/hr.

we find that you would need to deposit approximately $15,000 to have a retirement fund of $93,447 after 41 years, assuming no additional deposits are made to the account.

To calculate the amount you need to deposit now to have a retirement fund of $93,447 after 41 years, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:
A = the future value of the investment (retirement fund)
P = the principal amount (the initial deposit)
r = annual interest rate (in decimal form)
n = number of times the interest is compounded per year
t = number of years

In this case, the future value (A) is $93,447, the annual interest rate (r) is 3% (0.03 in decimal form), the number of times interest is compounded per year (n) is 365 (since it is compounded daily), and the number of years (t) is 41.

Plugging in these values into the formula, we get:

93,447 = P(1 + 0.03/365)^(365*41)

To find the principal amount (P), we can isolate it on one side of the equation. Dividing both sides by (1 + 0.03/365)^(365*41), we have:

P = 93,447 / (1 + 0.03/365)^(365*41)

Calculating this expression, we find that you would need to deposit approximately $15,000 to have a retirement fund of $93,447 after 41 years, assuming no additional deposits are made to the account.

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True. However, it is important to note that this command alone does not necessarily align with the values and goals of the budget. It is important to carefully consider and plan out the values and priorities of the budget before executing any commands.

The given command is related to SQL (Structured Query Language), used for managing and querying relational databases. The command is:
`insert into budget values (121, 222, 111);`

This command is inserting a row with values 121, 222, and 111 into the "budget" table. Based on the provided information, this command appears to be correctly structured. So, the answer is:
Structured Query Language, abbreviated as SQL, is a specialized programming language designed to manage data in a relational database management system (RDBMS) or manipulate data in a relational data flow management system (RDSMS). It is especially important when working with structured data, that is, data that has a relationship between entities and variables. SQL has two better read-and-write APIs like ISAM or VSAM. It introduces the concept of accessing multiple files with a single command. Second, it eliminates the need to specify how data is accessed, such as with or without an index.

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Answer:

x=-2

Step-by-step explanation:

Answer:

the answer is 4

Step-by-step explanation:

stolz dies by Raza cgm Issa Ask hz

Answer:

A I hope it help's

Answer:

The answer is C

Step-by-step explanation:

As the price of gas increases, then the number of hybrid cars sold also increased, but they did not increase at a constant rate. So this is a exponential relationship.

The correct answer is option C. 184.51.

The sample mean is 184.51 , which is lower than the critical value of 181.27. Thus, we reject the null hypothesis.

Here is a step-by-step explanation:
1. The critical value is 181.27.
2. We are looking for a sample mean that is greater than the critical value.
3. Option A (174.27) is less than the critical value, so it is not correct.
4. Option B (178.74) is also less than the critical value, so it is not correct.
5. Option C (184.51) is greater than the critical value, so it is correct.
6. Option D (181.18) is less than the critical value, so it is not correct.

The sample mean that would make the following statement correct is option C. 184.51. This is because the sample mean is greater than the critical value, which means that we reject the null hypothesis.

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The importance and advantage of using graph representation when organizing your data are that it makes data presentable, summarizing, better way of comparison of data.

An organized diagram or pictorial representation of the relationship between values or data is referred to as a graph. it is a a diagram that depicts a variable's variation in comparison to that of one or more other variables, such as a series of points, lines, line segments, curves, or areas.

The following are the three advantages of graphs:

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The value of a/b is  \(\sqrt{6}\) / 2

The area of mathematics known as mensuration is concerned with measuring geometric shapes and their various characteristics, such as length, volume, shape, surface area, lateral surface area, etc. In fundamental mathematics, learn about mensuration.

Measurement of agricultural fields, floor areas required for purchase/selling transactions. Measurement of volumes required for packaging milk, liquids, solid edible food items. Measurements of surface areas required for estimation of painting houses, buildings, etc.

According to the question:-

Side of an equilateral triangle equals a/3.

Therefore, the equilateral triangle's area is equal to (1/2)(a/3)2 sqrt (3) / 2 = a2 [sqrt (3)/ 36].

Hexagonal side equals b / 6.

The area is thus 6 (1/2) (b/6)^2 sqrt (3) / 2 

= b^2 [ 3 sqrt (3) / 72] = b^2 [sqrt (3) / 24]

So

sqrt (3) / 36 a2 = sqrt (3) / 24 b2

So

A2 / B2 = [Sqrt(3)/24] / [Sqrt(3)/36]

a^2 / b^2 = [ 36 / 24 ]

a^2/ b^2 = 3/2

A/ B = Sqrt(3) / Sqrt(2)

=Sqrt(6) / 2

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Answer:

a quantity calculated to indicate the extent of deviation for a group as a whole.

Step-by-step explanation:

t1ts

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$1200\\ r=rate\to 0.2\%\to \frac{0.2}{100}\dotfill &0.002\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{weekly, thus fifty two} \end{array}\dotfill &52\\ t=years\dotfill &10 \end{cases} \\\\\\ A = 1200\left(1+\frac{0.002}{52}\right)^{52\cdot 10}\implies A \approx 1224.24\)

Answer: $1248 in compound interest for 10 years

Step-by-step explanation:

Answer:

the radius of the quarter circle is approximately 8.103 miles.

Step-by-step explanation:

The formula for the perimeter (P) of a quarter circle is:

P = (π/2) * r + 2r

where r is the radius of the quarter circle.

We are given that the perimeter is 28.917 miles, so we can plug that in for P and simplify the equation:

28.917 = (π/2) * r + 2r

Next, we can use 3.14 for π and solve for r:

28.917 = (3.14/2) * r + 2r

28.917 = 1.57r + 2r

28.917 = 3.57r

r = 28.917/3.57

r ≈ 8.103 miles

Therefore, the radius of the quarter circle is approximately 8.103 miles.

Answer:

  8.1 miles

Step-by-step explanation:

You want the radius of a quarter circle that has a perimeter of 28.917 miles.

The perimeter of the quarter circle is the sum of the straight segments bounding the sector, and the length of the curved segment, which is 1/4 of the circumference of the circle.

  P = 2r +1/4(2πr) = r(π/2 +2)

  28.917 = r(3.14/2 +2) = 3.57r

  r = 28.917/3.57 = 8.1 . . . . . miles

The quarter circle's radius is 8.1 miles.

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3.31×\(10^-^5\) g is equivalent to 0.0331 μg which is obtained by using the conversion factor.

To convert from grams to micrograms, we need to consider the conversion factor that relates the two units. The prefix "micro-" represents a factor of \(10^-^6\), which means there are 1,000,000 micrograms in a gram. Therefore, to convert grams to micrograms, we multiply the given value by 1,000.

In this case, we have 3.31×\(10^-^5\) g. To convert this value to micrograms, we can multiply it by 1,000:

= 3.31×\(10^-^5\) g × 1,000

= 3.31×\(10^-^5\) × 1,000

= 3.31×\(10^-^5\) × \(10^{3}\)

= 3.31×\(10^(^-^5^+^3^)\)

= 3.31×\(10^-^2\)

= 0.0331 μg

Therefore, 3.31×\(10^-^5\) g is equivalent to 0.0331 μg.

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The type of sampling that was used is a cluster.

furthered explained below

A cluster in a data set occurs when several of the data points have a commonality. The size of the data points has no affect on the cluster just the fact that many points are gathered in one location.

Clusters can be found by examining a graph or dot plot for data points grouped in a certain location. Clusters can also be found by analyzing a data set for a value that most of the data points are near.

In the given question above, each American Airlines flight is a group. 100 of them are chosen randomly, and in each group chosen, every passenger is surveyed. Hence cluster sampling was used.

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Answer:

1,2,4,6,7

Step-by-step explanation:

The given shape is a pentagon, an irregular polygon, and also convex.

A Polygon is considered to be Concave if its diagonal can lie outside the Polygon as well.

A polygon is considered to be Convex if all of its diagonals lie within it.

A polygon is considered to be regular if it is convex and has equal sides and angles.

If all of the angles and sides of a polygon are not equal, it is said to be irregular.

Here,

The given shape has five sides, which means this is a pentagon.

The given shape has unequal sides, which means this is an irregular pentagon.

The given shape has it's all its diagonals lying inside, which means this is a convex pentagon.

Thus, the given shape is a pentagon, an irregular polygon, and also convex.

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Answer:

11) x = 21

12) x = 110

13) x = 85

14) x = 137

Step-by-step explanation:

Hope it helped <3

Answer:

your question makes no sense

The value of d if, The measure of the angles of a triangle are 2dº, 98°, and (2d+ 2)°, is 20.

Three straight lines coming together create a triangle. There are three sides and three corners on every triangle (angles). A triangle's vertex is the intersection of two of its sides. Any one of a triangle's three sides can serve as its base, however typically the bottom side is used.

Given:

The measure of the angles of a triangle are 2dº, 98°, and (2d+ 2)°,

Calculate the value of d as shown below,

2d + 98 + 2d +2 = 180  (The sum of the interior angle of the triangle is 180)

Do arithmetic operations as shown below,

4d + 100 = 180

4d = 180 - 100

4d = 80

d = 80 / 4

d = 20

Thus, the value of d is 20.

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Answer:

x = ∞ (Infinite solutions)

Step-by-step explanation:

\(4(2x-1)=8x-4\\\\8x-4=8x-4\\\\8x-4+4=8x-4+4\\\\8x=8x\\\\8x-8x=8x-8x\\\\\boxed{0=0}\)

Since both sides of the equation mirror each other, the equation has infinitely many solutions.

Hope this helps.

Answer:

y = $30x ;

1 : $30

Step-by-step explanation:

Given that :

$60 is saved in electricity bill for every 2 panels

Model, y

Amount saved, y = amount saved per panel * number of panels

Let number of panels = x

Hence, total amount saved, y ;

y = $30x

Ratio of panels to money saved :

Number of panels : amount of money saved

2 : $60

1 : $30

Hence, $30 is saved in cost of electricity bill per 1 solar panel purchased.

Answer:

8.99 + 12.50x < 55 and x = 3

Step-by-step explanation:

The cost of their pitchers of soda ($8.99) and the cost of x number of pizzas ($12.50x), is less than 55.

The answer is 2! This was very easy for me to figure out, and I think it was easy for you to as well. But no shame if you need help!

PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction. The solution to the Expression (3^0 * 8^2)^-2 is 1/4096.

The expression (3^0 * 8^2)^-2, the order of operations, which is typically referred to as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

Step 1: Simplify the exponent expressions within the parentheses:

(3^0 * 8^2) = (1 * 64) = 64

Step 2: Rewrite the expression with the simplified value:

(64)^-2

Step 3: Apply the exponent rule for a negative exponent:

(64)^-2 = 1 / (64)^2

Step 4: Evaluate the expression within the parentheses:

(64)^2 = 64 * 64 = 4096

Step 5: Rewrite the expression with the simplified value:

1 / 4096

Therefore, the solution to the expression (3^0 * 8^2)^-2 is 1/4096.

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The conditions that should be checked to make sure that your linear model is reasonable are: Quantitative Variables Condition, Straight Enough Condition, Outlier Condition.
A. Quantitative Variables Condition: This condition requires that both the explanatory and response variables be quantitative, so that the relationship between them can be modeled with a straight line.
B. Straight Enough Condition: This condition requires that the relationship between the two variables be approximately linear, so that the linear model is a good fit for the data.
D. Outlier Condition: This condition requires that there are no outliers in the data that can significantly affect the linear model.
The "Does the Plot Thicken?" condition is not a valid condition for checking the reasonableness of a linear model.https://brainly.com/question/29665935

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You cant do it on normal calculators you will need somthing like the TI-84 or CASIO FX-9860GII .

The length of the fabric which Brandon formed a rectangle, is 11 inches.

To find the length of the fabric, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the length of the fabric is one of the other two sides, and the diagonal cut is the hypotenuse. So, we can write the equation:

\(L^2 + 5^2 = 13^2\)

where L is the length of the fabric.

Solving for L, we get:

\(L^2 = 144 - 25 = 119, and L =\sqrt{119} = 11.\)

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The current age of Sam is 30 years and Harry is 10 years.

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity. If there is no 'equal to' symbol in the statement, it means it is not an equation. It will be considered as an expression.

Let Sam's age be y years and Harry's age be x years.

Sam is currently three times harry's age.

The equation formed: y = 3x

Sam's age is also 10 more than twice harry's age.

The equation formed: y = 2x + 10

Substitute the value of y from first equation in second equation:

3x = 2x + 10

x = 10

Put the value of x in first equation:

y = 3x = 3*10 = 30

Thus, the current age of Sam is 30 years and Harry is 10 years.

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