what is a radian measure of a 75° angle?​

Answer: 7 miles

Step-by-step explanation:

The points for Tom's house (4, 2) and the store (-3, 2) are on the same level; they are on the same horizontal line 2 units above the x-axis.

The distance between the points is therefor the difference between the x coordinates.

4 - (-3) = 7

You can also just count the spaces between the points!

The equation gives  infinitely may solutions.

One of the key techniques used to solve an equation system is Cramer's rule. The determinants of matrices are used in this method to derive the values of the system's variables. Hence, the determinant technique is another name for Cramer's rule.

Given:

We have system of Equations as

x-5y=-1..............(1)

-4x+20y=4................(2)

As, per the Cramer rule

x = \(D_x\) / D

y=  \(D_y\) / D

D= 1(20) - (-4)(-5)

D = 20 - 20 = 0

\(D_x\) = (-1) (20) - 4 (-5) = -20 + 20 = 0

\(D_y\) = 1 x 4 - (-1)(-4) = 4 - 4 = 0

We have D= 0 and  \(D_x\) , \(D_y\) both are also equal to

Then, equation have infinite many solution.

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Option B, The distribution of apple candy can be modeled as normal if Susan picks candies over 75 times

Step-by-step explanation:

The distribution of apple candies can be represented as normal curve and hence the sample proportion for this is true and can be drawn.

The rest other cases do not represent a normal distribution and hence it will not be easy to plot curve for these samples.

hence, option B is correct

Answer: C

Step-by-step explanation:

The column on an accounting worksheet that may not balance at the end of an accounting period is the Adjustments column.

The Adjustments column on an accounting worksheet includes all the adjusting entries that are needed to update the accounts before the financial statements are prepared. These adjustments can include accruals, deferrals, depreciation, and other adjustments that need to be made to the accounts to accurately reflect the financial position of the company.

Since the Adjustments column is used to record these adjusting entries, it is possible that this column may not balance at the end of the accounting period, as the adjustments may not perfectly offset each other. However, this is not a problem, as the purpose of the worksheet is to help prepare the financial statements, not to balance each individual column.

Therefore, the correct answer is option D, the Adjustments column.

Answer:

C. The Income Statement

Step-by-step explanation:

The Income Statement column on an accounting worksheet may not balance at the end of an accounting period.

An accounting worksheet is a tool used by accountants to help organize and summarize financial information and to prepare financial statements. The worksheet is typically a multi-column form that includes columns for the unadjusted trial balance, adjustments, adjusted trial balance, income statement, and balance sheet.

The Adjustments column is used to record adjusting entries and to update the account balances to reflect accruals, deferrals, and other accounting adjustments. The Adjusted Trial Balance column is the result of the adjustments made in the Adjustments column and should include all the account balances that will be used to prepare the financial statements.

Answer:

5

Step-by-step explanation:

because its the correct answer

Answer:

Its 5 :D have a nice day and dont forget that brainliest nah jk you can if you want lol

Step-by-step explanation:

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Explanation:

The fact that we have the phrasing "randomly-selected" in there is a big clue that we are working with a sample, and not a population. If 40 people represented the population, then we wouldn't be randomly selecting anyone. Everyone would be surveyed. No random process needed. We don't need to worry about the order of those surveyed.

However, we are applying a random selection process to form this sample. A statistic is some value that measures a sample. For instance, xbar is the sample mean which is a sample statistic. The xbar value estimates mu, which is a greek letter. Mu is the population mean and a population parameter.

To remember the difference between the two terms parameter and statistic, one useful memory trick is to think of it like this:

As the name "statistics" implies, it is the study of how to estimate a population based on a sample. After gathering the sample, we compute a statistic, which in turn estimates a parameter. So that explains why your math course and textbook has that label.

The ratio of the areas of two similar polygons can be found by using the ratio of their perimeters or the ratio of similarity and squaring it which is true.

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

Similar polygons are those whose perimeter ratios are identical to their respective scale factors. The common fraction of the sizes of two matching sides of two identical polygons is known as a scale factor.

The given statement is true.

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The maximum charge on the capacitor is equal to 0.0317 C

The capacitance of a parallel plate capacitor is given by the following formula:

C = ε₀A/d

where, C = Capacitance

ε₀ = Permeability of free space

A = Area of plates

d = Distance between plates

Given data :

L = 5/6 h

R = 10 Ω

C =  1/60 f,

E(t) = 600 V, q(0) = 0 C, i(0) = 0 A q(t) = C i(t) = A

Determine q(t) and i(t) then we will apply the Kirchhoff's second law to the system;

Lq'' + Rq' +  E(t)

= 5/6q'' + 10q' + 1/60q = 20 ---- ( 1 )

The auxiliary equation is expressed as;

r² + 100r + 2500 = 0

∴ r = -50,-50

y₁ = e⁻⁵⁰ ,  y₂ = e

q = a

i(t) =  e⁻⁵⁰(60 sin(6t))

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The range of the given equation is [-1, infinity).

We are given that;

Equation  y= underroot(x+5​)

Now,

The domain of this equation is the set of x values that make the expression under the square root non-negative.

That is, x+5 >= 0, or x >= -5. So the domain is [-5, infinity).

The range of this equation is the set of y values that are obtained by plugging in the domain values into the equation. Since the square root function is always non-negative, and we are subtracting 1 from it, the smallest possible value of y is -1, when x = -5. As x increases, y also increases, and there is no upper bound for y.

Therefore, by the range the answer will be [-1, infinity).

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Answer:

$280

Step-by-step explanation:

7•40=$280

Answer: 1,810,863-1,256,561=554,302

554,302/1,256,561=0,44=44%

Step-by-step explanation:

The length of the guy wire to the nearest foot would be = 10 ft.

The relationship between the tower, guy wire and pole forms the shape of a right angle triangle.

The distance from the stake to the pole (opposite) =a = 5 ft

The distance from the pole to the tower (adjacent) =b= 9ft

The length of the guy wire= c = X

Using the Pythagorean formula:

c² = a² + b²

c² = 5² + 9²

c² = 25+81

c² = 106

C = √106

C= 10 ft ( to the nearest foot)

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Complete question:

A guy wire runs from the top of a cell tower to a metal stake in the ground. Sophie places a 7 ft tall pole to support the guy wire. After placing the pole, Sophie measures the distance from the stake to the pole to be 5 ft. She then measures the distance from the pole to the tower to be 9 ft. Find the length of the guy wire, to the nearest foot.

Answer:

The slope equals -⁴/3

Step-by-step explanation:

Slope of the line passing through the origin (0, 0) and (-9, 12):

Slope = \( \frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - 0}{-9 - 0} = \frac{12}{-9} = -\frac{4}{3} \)

Slope (m) = -⁴/3

Answer:

9000 m

Step-by-step explanation:

One: Note that the answer is supposed to be in meters. It's easier if we just convert the 12 kilometers to meters now so we dont' have to worry about it later. 1 kilometer is 1,000 meters, so all we need to do is add three zeros to the end to make it meters:

12km=12,000m

Two: 1/4 means to divide by 4: 12,000/4= 3,000.

Three: The question is asking how much is LEFT. So we would do 12,000-3,000, which is 9000.

Answer:

16

Step-by-step explanation:

As the question states, we are counting downwards which means with every interval we are going back -1. Therefore, 17 - 1 = 16

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Answer:

C. x=-2 and x=7

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Answer:

$40.80

Step-by-step explanation:

First, convert the 20% to an actual number that can be used in a calculation. For percent, this is always done by simply dividing the percent, in this case, 20%, by 100%. So, the conversational term "20%" becomes 20% / 100% = 0.20 in terms of a real mathematical number.

Second, you need to find out what 20% of your $34.00 meal cost is. This is always done by multiplying 0.20 by $34.00, or 0.20 x $34.00=$6.80. So, the amount of tip you are going to leave is $6.80.

This makes the total cost of your meal (to write on your charge slip or other payment)

$34.00 + $6.80 = $40.80.

Answer:

$40.80

Step-by-step explanation:

If you pay for the original cost of the dinner AND leave a 20% tip then the total amount paid will be 120% of the original cost (100% + 20% = 120%).

Convert 120% into a decimal:  120% = 120/100 = 1.2

So 120% of $34.00 = 1.2 × 34 = $40.80

y√y i.e Option (B) is  equivalent to the expression below when y> 0.

Equivalent means that two things have the same value, meaning, or measure. For example, 2 + 2 and 4 + 0 are equivalent equations because both equal 4. Another example is 1/2 and 0.5, which are equivalent because they are both equal to one-half.Equivalent in mathematics refers to two expressions that have the same value or the same outcome when evaluated.

Equivalent means having the same value, measure, or effect as something else. For example, two dollars is equivalent to two euros.

Let's start with the expression:

√\(y^{3}\)+√\(16y^{3}\)-\(4y\)√\(y\)

where y > 0. (this allow us to have y inside a square root, so we don't mess with complex numbers).

We want to find the equivalent expression to this one.

Here, we can do the next two simplifications:

√\(16y^{3}\) = √\(16\) √\(y^{3}\) = \(4\)√\(y^{3}\)

And

\(y\)√\(y\) = √\((y^{2}. y)\)= √\(y^{3}\)

If we apply these two to our initial expression, we can rewrite it as:

√\(y^{3}\)+√\(16y^{3}\)-\(4y\)√\(y\)

√\(y^{3}\) + \(4\)√\(y^{3}\)-\(4\)√\(y^{3}\) = √\(y^{3}\)=\(y\)√\(y\)

Therefore, Option (B) is correct.

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Answer:

1.236 × 10^(-3)

Step-by-step explanation:

Let A be the event that the person is a future terrorist

Let B the event that the person is identified as a terrorist

We are told that there are 1,000 future terrorists in a population of 400 million. Thus, the Probability that the person is a terrorist is;

P(A) = 1000/400000000

P(A) = 0.0000025

P(A') = 1 - P(A)

P(A') = 1 - 0.0000025

P(A') = 0.9999975

We are told that the system has a 99% chance of correctly identifying a future terrorist. Thus; P(B|A) = 0.99

Thus, P(B'|A) = 1 - P(B|A)

P(B'|A) = 1 - 0.99

P(B'|A) = 0.01

We are told that there is a 99.8% chance of correctly identifying someone who is not a future terrorist. Thus; P(B'|A') = 0.998

Hence: P(B|A') = 1 - P(B'|A')

P(B|A') = 1 - 0.998

P(B|A') = 0.002

We want to find the probability that someone who is identified as a terrorist, is actually a future terrorist. This is represented by: P(A|B)

We can find it from bayes theorem as follows;

P(A|B) = [P(B|A) × P(A)]/[(P(B|A) × P(A)) + (P(B|A') × P(A')]

Plugging in the relevant values;

P(A|B) = [0.99 × 0.0000025]/[(0.99 × 0.0000025) + (0.002 × 0.9999975)]

P(A|B) = 0.00123597357 = 1.236 × 10^(-3)

For given pair of congruent triangle ΔCAR and ΔBUS, value of x =12

Congruent Triangle:

                             If two triangles are congruent then there corresponding sides and the corresponding angles will be equal.

                              Congruent figures are also known as identical figure, that is figure having same shape and size are called congruent figure.

Here in question it is given that two triangles  ΔCAR and ΔBUS are congruent.

and CA = 45 ,

        BU = 5x-15

that is,

                ΔCAR ≅ ΔBUS

So,

By using CPCT (Corresponding part of congruent triangle)

CA = BU

AR = US

CR = BS

And,

        ∠C = ∠B

       ∠ A = ∠U

        ∠R = ∠S

As,

        CA = BU

        45 = 5x - 15

        5x = 45 + 15

        5x = 60

          x = 60/5

          x = 12

Hence,

       For given pair of congruent triangle ΔCAR and ΔBUS, value of x =12

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x=6

Step-by-step explanation:

x ÷ 7 ÷10 = 3/35

(Use trial & error - since I knew x<7)

6/7 ÷ 10 = 3/35

Or

3/35 x 10

(then, simplify it to 6/7 or ÷ that by 1/7 to get 6)

Hope this helps!

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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Answer:

4

Step-by-step explanation:

There is 4 quadrants in a Cartesian Plane.

A pipe whose diameter measures 1 1/4 inches should have less threads per inch than a pipe with a diameter of 11/2 inch. So, the correct answer is (D).

To determine the correct answer, we need to compare the diameters of the two pipes and understand the relationship between pipe diameter and threads per inch.

The number of threads per inch generally decreases as the pipe diameter increases. This means that a larger pipe diameter will have fewer threads per inch compared to a smaller pipe diameter.

Given that the first pipe has a diameter of 1 1/4 inches, we need to find the pipe diameter from the options that is larger than 1 1/4 inches.

The option that meets this requirement is D. 11/2. This represents a pipe diameter of 1 1/2 inches. Therefore, a pipe with a diameter of 1 1/2 inches should have fewer threads per inch than a pipe with a diameter of 1 1/4 inches. Therefore, the correct answer is D. 11/2.

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If a person from this group is selected at random, the probability that this person has type AB blood is 0.0928

From the question we have the total number of persons that there blood types have been collected as 700.

The number of people that have the AB blood type is given as 65.

Hence the probability would be

65 / 700

= 0.0928.

This is the term that is used in the field of mathematics to refer to the likelihood of something occurring. It tells us of the chances that may be present that would show that a certain phenomenon would occur.

Hence the probability is 0.0928

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The second difference of the given number table is: Option A: -2

The second difference method can be used to determine a quadratic model.  In order for us to calculate the second difference, we will select 3 consecutive y-values, and then subtract the first y-value from the second and the second y-value form the third. Then we will find the difference of these two resulting values. That difference is what we refer to as the second difference.

Thus, Applying the second difference concept to our problem, we have:

First difference:

-4 - (-9) = 5

-1 - (-4) = 3

Thus, second difference is:

3 - 5 = -2

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Answer:

the correct answer is D. (5/2x^3 -3/2x^2 +13x+ 20). Hope this helps ;) don't forget to rate this answer !

Step-by-step explanation:

The volume of a rectangular prism is given by the formula V = lwh, where l is the length, w is the width, and h is the height of the prism. In this case, the height of the prism is (1/2x-3), the length is (x+5), and the width is (x-4).

Substituting these values into the volume formula, we get:

V = (1/2x-3)(x+5)(x-4)

Expanding this expression using the distributive property, we get:

V = (1/2x^2 - 3x)(x+5)(x-4)

Using the distributive property again, we get:

V = (1/2x^2 - 3x)(x^2 + x - 20)

Using the distributive property once more, we get:

V = 1/2x^3 - 3x^2 - 4x + 20

This expression is equivalent to the expression in answer choice D. Therefore, the correct answer is D. (5/2x^3 -3/2x^2 +13x+ 20)

On solving the provided question, by the help of BODMAS we can say that - Subtract 22 from both sides is the answer to the given question.

BODMAS and PEDMAS are both names for it in various places. This stands for exponents, parenthesis, division, multiplication, addition, and subtraction. The BODMAS rule states that parentheses must be answered before powers or roots (that is, of), divisions, multiplications, additions, and lastly subtractions. The BODMAS rule states that the degree (52 = 25), parenthesis (2 + 4 = 6), any division or multiplication (3 x 6 (bracket response) = 18), and any addition or subtraction (18 + 25 = 43) come before any other operations.

\(f/3 +22 = 17\)

\(f/3 +22 -22 = 17 -22\) Subtracting the same value from both sides keeps the equation equal.  

Then simplify. The \(+22 and -22= 0\) They "cancel"   \(17-22 = -5\)

\(f/3 = -17 f/3\) is now isolated-- by itself-- in the equation.

If we have to solve  f, the next step we to take is to multiply on the both sides by  3.

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