What is the value of the function y=2x−3 when x=−1?


−5

​−1​

2

3

1. The height of the cone is equal to

2. You can solve for the slant height, s by applying Pythagorean's theorem.

3. To get from the base of the cone to the top of the hill, an ant has to crawl 29 mm.

In Mathematics and Geometry, the volume of a cone can be calculated by using this formula:

Volume of cone, V = 1/3 × πr²h

Where:

By substituting the given parameters into the formula for the volume of a cone, we have the following;

8792 =  1/3 × 3.14 × 20² × h

26,376 =  3.14 × 400 × h

Height, h = 26,376/1,256

Height, h = 21 mm.

Question 2.

In order to solve for the slant height, s, we would have to apply Pythagorean's theorem since the height of the cone has been calculated above.

Question 3.

By applying Pythagorean's theorem, we have the following:

r² + h² = s²

20² + 21² = s²

400 + 441 = s²

s² = 841

Slant height, s = √841

Slant height, s = 29 mm.

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If the farmer plotted a straight line graph of how many goats he had left over time, the slope of the line would be -14.

To find the slope of the line representing the number of goats the farmer has over time, we need to use the formula:

Where y2 and y1 are the number of goats the farmer has at the end of two different months, and x2 and x1 are the number of months that have passed since he started selling the goats.

In this case:

So the slope of the line is:

The slope of the line is -14, which means that the number of goats the farmer has decreases by 14 goats per month.

It's important to note that when the value of the slope is negative, it means that the line is going down; this means that the farmer is selling goats at a constant rate.

This question is incomplete and should be written as:

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Answer:to question 1:55

Step-by-step explanation: area of purple 10 * 8=80 and then we subtract the area of the circle which is 25 so 80 minus 25=55

I did this like 3 weeks ago in 7 grade advance maths.

Answer:

para 10 dias

Step-by-step explanation:

espero te sirva

Answer:Solution for 0.3(y-2)+0.4y=0.3y-0.6 equation:

0.3(y-2)+0.4y=0.3y-0.6

We move all terms to the left:

0.3(y-2)+0.4y-(0.3y-0.6)=0

We add all the numbers together, and all the variables

0.4y+0.3(y-2)-(0.3y-0.6)=0

We multiply parentheses

0.4y+0.3y-(0.3y-0.6)-0.6=0

We get rid of parentheses

0.4y+0.3y-0.3y+0.6-0.6=0

We add all the numbers together, and all the variables

0.4y=0

y=0/0.4

y=0

Answer:

-11/12

Step-by-step explanation:

Answer:

55%

Step-by-step explanation:

1.  You add all the candy together to show that all the candies added together equals 20.

11+6+3=20

2. You divide 11 by 20 to get the decimal

11/20=.55

3.  To get the percentage you just have to multiply .55 by 100.

4.  The final answer should be 55 %

Brackets are used for multiplication to expand and simplify an expression.

We must multiply out the brackets in order to extend and simplify an expression. The resulting phrase is then made simpler by grouping like terms together. Our method for removing brackets is known as expanding brackets or multiplying them out. Factorization is being done in reverse.

In some non-standard or informal contexts, such as with some programming languages or computer systems, brackets are employed as multiplication signs. When accessing items of an array or list in various programming languages, square brackets may also be used to denote multiplication in specific circumstances. As an example, the formula 2(3) instructs you to multiply 2 by 3 to generate the number 6.

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Answer:

c

Step-by-step explanation:

Using the principle of binomial probability, the probability of having exactly two black cards is 0.3125

Using the binomial probability relation :

Hence,

P(x = 2) = 5C2 × 0.5² × 0.5³

P(x = 2) = 10 × 0.25 × 0.125

P(x = 2) = 0.3125

Hence. Probability of having exactly 2 black cards is 0.3125

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Yes. A leg of a right triangle can indicate the distance that separates two vertical or horizontal points, and the hypotenuse can represent the distance between two non-vertical or non-horizontal points.

We can use this theorem to calculate the distances between two locations on a coordinate grid. Consider the following example using the points:

( 3, 4 ) and ( − 2, 1 )

We can see how to make a right triangle with the hypotenuse as that of the line connecting these two spots. A right angle is formed at the coordinates ( 3, 1), where the vertical line from ( 3, 4 ) and the horizontal line from ( 2, 1 ) intersect.

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Answer:

The line should go through (0,6), (1,7) (2,8), (3,9) and (4,10)

Step-by-step explanation:

Given

Yolanda's age is y

Xavier's age is x

so we have (2,8) and (4,10)

m = (y2 - y1)/(x2 - x1) = (10 - 8)/(4 - 2) = 2/2 = 1

so y = mx + b

10 = 1(4) + b

b = 6

y = x + 6

Answer:

It is 16.

Step-by-step explanation:

Triangles add up to 180 degrees. 58+56=114 which you subtract 180-114 to get 66. 66-2 is 64 and 64 divided by 4 is 16. r=16

Answer:

Domain: 3, 6, 8, 9, 7

Step-by-step explanation:

Domain: 3, 6, 8, 9, 7

(Domain, Range)

The domain of a function or relation is the set of all possible independent values the relation can take.

Hope this helps :)

Answer:

Domain: {3, 6, 8, 9, 7}

Step-by-step explanation:

A relation is a set of ordered pairs, (x, y). The domain of a relation is the set of all x-values. Therefore, the following is the domain of the given relation:

Domain: {3, 6, 8, 9, 7}.

y=-1/5x+4 is the equation in slope-intercept form for the line with y-intercept 4 and slope -1/5

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Given,

y-intercept 4 and slope -1/5

Now y=-1/5x+4

Hence y=-1/5x+4 is the equation in slope-intercept form for the line with y-intercept 4 and slope -1/5

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Answer:

11 is 70

12 is 80

13 is 150

Step-by-step explanation:

To calculate the Value-at-Risk (VaR) for this investment at a 99% confidence level, we need to determine the loss amount that will be exceeded with a probability of only 1% (i.e., the worst-case loss that will occur with a 1% chance).

Given that there is a 0.5% chance of a loss of $10 million and a 99.5% chance of a loss of $1 million, we can express this as:

Loss Amount | Probability

$10 million | 0.5%

$1 million | 99.5%

To calculate the VaR, we need to find the loss amount that corresponds to the 1% probability threshold. Since the loss of $10 million has a probability of 0.5%, it is less likely to occur than the 1% threshold. Therefore, we can ignore the $10 million loss in this calculation.

The loss of $1 million has a probability of 99.5%, which is higher than the 1% threshold. This means that there is a 1% chance of the loss exceeding $1 million.

Therefore, the Value-at-Risk (VaR) for this investment at a 99% confidence level is $1 million.

The Value-at-Risk (VaR) for this investment at a 99% confidence level is $1,045,000.

To calculate the Value-at-Risk (VaR) for this investment at a 99% confidence level, we need to determine the loss amount that will be exceeded with only a 1% chance.

Given that the investment has a 0.5% chance of a loss of $10 million and a 99.5% chance of a loss of $1 million, we can calculate the VaR as follows:

VaR = (Probability of Loss of $10 million * Amount of Loss of $10 million) + (Probability of Loss of $1 million * Amount of Loss of $1 million)

VaR = (0.005 * $10,000,000) + (0.995 * $1,000,000)

VaR = $50,000 + $995,000

VaR = $1,045,000

Therefore, the Value-at-Risk (VaR) for this investment at a 99% confidence level is $1,045,000.

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a) Mark earns $110 at the rock concert,  b) i) Mary's annual income is $66,000, c) Danny's regular salary is $400 and his overtime salary is $75. His total salary is $475.

a) Mark sells 200 programs, so he earns an additional $0.45 for each program. Therefore, his earnings from selling programs is 200 * $0.45 = $90. In addition, he earns a fixed amount of $20 for showing up. Therefore, his total earnings at the rock concert is $20 + $90 = $110.

b) i) Mary's annual income is her monthly salary multiplied by 12 since there are 12 months in a year. Therefore, her annual income is $5,500 * 12 = $66,000.

ii) Mary's gross earnings per pay period would depend on the pay frequency. If we assume a monthly pay frequency, her gross earnings per pay period would be equal to her monthly salary of $5,500.

iii) If Mary is paid semi-monthly, her earnings per pay period would be half of her monthly salary. Therefore, her earnings per pay period would be $5,500 / 2 = $2,750.

iv) If Mary is paid weekly, we need to divide her monthly salary by the number of weeks in a month. Assuming there are approximately 4.33 weeks in a month, her earnings per pay period would be $5,500 / 4.33 = $1,270.99 (rounded to the nearest cent).

c) To calculate Danny's regular salary and overtime, we need to consider his regular working hours and overtime hours.

Regular working hours: 8 hours on Monday + 8 hours on Tuesday + 8 hours on Wednesday + 8 hours on Thursday = 32 hours.

Overtime hours: 10 hours on Wednesday (2 hours overtime) + 10 hours on Friday (2 hours overtime) = 4 hours overtime.

Regular salary: Regular working hours * hourly rate = 32 hours * $12.50/hour = $400.

Overtime salary: Overtime hours * hourly rate * overtime multiplier = 4 hours * $12.50/hour * 1.5 = $75.

Therefore, Danny's regular salary is $400 and his overtime salary is $75. His total salary would be the sum of his regular salary and overtime salary, which is $400 + $75 = $475.

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The best translation for the given statement would depend on the specific interpretation and context.

In the field of logic and mathematics, statements can be expressed using symbols and logical operators to represent their relationships and conditions. These symbols and operators help us analyze and evaluate complex statements. In this context, we will explore a specific statement and select the best translation among the given options.

Let's break down the given statement "Rice hires new faculty only if neither Duke nor Tulane increases student aid." We'll assign symbols to represent the various components of the statement:

R: Rice hires new faculty.

D: Duke increases student aid.

T: Tulane increases student aid.

To translate this statement into logical terms, we can examine the relationships between these symbols.

Option 1: (DVT) R

In this option, (~D) represents "not Duke increases student aid," and (~T) represents "not Tulane increases student aid." The statement (~D) represents "if Duke does not increase student aid," and (~T) represents "if Tulane does not increase student aid." The conjunction (DVT) represents "if neither Duke nor Tulane increases student aid." Finally, ( DVT) R can be read as "Rice hires new faculty if neither Duke nor Tulane increases student aid."

Option 2: (R>~(DVT))

In this option, (DVT) represents "either Duke or Tulane increases student aid." The negation (DVT) represents "neither Duke nor Tulane increases student aid." The implication (R>(DVT)) can be read as "If Rice hires new faculty, then neither Duke nor Tulane increases student aid."

Option 3: (~(DVT) > R)

This option has a similar structure to the previous one. The negation (DVT) represents "neither Duke nor Tulane increases student aid." The implication ((DVT) > R) can be read as "If neither Duke nor Tulane increases student aid, then Rice hires new faculty."

Option 4: (D = ~(RVT))

In this option, (RVT) represents "Rice or Tulane increases student aid." The negation ~(RVT) represents "neither Rice nor Tulane increases student aid." The equation (D = ~(RVT)) can be read as "Duke increases student aid if and only if neither Rice nor Tulane increases student aid."

Out of these options, the best translation for the given statement would depend on the specific interpretation and context. Each option captures a different aspect of the original statement, emphasizing different relationships between Rice, Duke, Tulane, and student aid. Therefore, it would be essential to consider the intended meaning and context to determine the most suitable translation.

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Answer:

mP = 35

Step-by-step explanation:

QR = 80

QS = 150

The measure of the angle formed by a secant and a tangent intersecting in the exterior of a circle is half the difference between the measures of the intercepted arcs.

This means that (150-80)/2 = mP

mP = 35 degrees

Hope this helps!

Answer:

405 students

Step-by-step explanation:

1=teachers

9=students

1=45 teachers

9=y students

 y=9 x 45

 y=405 students

Answer:

To order these numbers from least to greatest, we can convert them all to decimals:

11% = 0.11

1/8 = 0.125

2/25 = 0.08

So the order from least to greatest is:

2/25 = 0.08 < 1/8 = 0.125 < 11% = 0.11

Answer:

The simplified answer to the given equation is 6√2

Step-by-step explanation:

First, we must simplify the radicals in the equation.

√2 = 1.414213562

∛2 = 1.25992105

Now, we divide these numbers. You can divide it this way or you can divide it using a calculator.

√2 ÷ ∛2 = 1.122462048

Now, let;s look at our answer choices. We can immediately cross out A because 1/4 equals 0.25. Let's look at the others.

6√2 = 1.22462048

So, our answer here is answer choice B.

Answer: A; 6.3%

Step-by-step explanation:

Problem 1

For the first problem, we first want to find y so that we can plug it into the expression.

We can use elimination method for the system of equations to solve.

3x+3y=21

3x-y=5

We subtract both equations to eliminate x.

4y=16                                        [divide both sides by 4]

y=4

Now that we know y, we can plug it into the expression.

\(\frac{4}{2} -3\)                                         [divide]

\(2-3\)                                         [subtract]

\(-1\)

We know that the answer is A.

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Problem 2

For the second problem, we need to know how to calculate percent error. The formula for precent error is \(\frac{|measured-exact|}{exact} *100%\). We know that the exact value is 80 because the buyer was supposed to given 80. 75 is the measured value because that was what the buyer was given.

\(\frac{|75-80|}{80} *100%\)                               [subtract]

\(\frac{|-5|}{80} *100%\)                                   [solve absolue value]

\(\frac{5}{80} *100%\)                                     [divide]

\(0.0625*100%\)                               [multiply]

\(6.25\)

Since the problem said to round to one decimal place, we know that the answer is 6.3%.

Answer:

7

Step-by-step explanation:

Answer:

I am pretty sure it's a

I hope this helps

A point estimate is a single approxmate value of some parameters.

A point estimate for difference in average means is the difference between the sample means .

Point estimator :

In statistics, point estimation uses sample data to compute a single value, called a point estimate, to identify a point in a given parameter space.

Estimator Properties:

Point Estimate of Difference in Average Sales:

Point Estimate of Population Mean The calculation is the sum of all samples divided by the number of values .

Suppose we want to compare the means of two different populations . Each population has a mean and a standard deviation. Take a random sample from Population1 and label the resulting sample statistic with Index1 . Draw a sample from population2 and label its sample statistic with index 2, without reference to the first sample.

It is denoted by " μ1-μ2 " .

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