If 86
is added to a number, the result is 44
less than three times the number. Find the number.

Answer: x=3

Step-by-step explanation:

shaded part is 5/6 of the full circle, so just make an equation.

5/6 pi r^2(formula to find area)=15/2 pi(area given)

cancel out pi and simplify

r^2=9

r=+-3 but cant be negative so r=3

Since there are 3 white horses in a total of 15 horses, the ratio of white horses, to the total number of horses are 1 : 5 So for 20 total number of horses, the number of white horses should be 4. The ratio of white horses to the total number of horses is  4 : 20 which is 1: 5

Therefore, 4 of the next 20 horses that come to board should you expect to be white horses

Answer:

A

Step-by-step explanation:

She takes 69.5% as gross pay at take home,

Hence option (c) is correct.

Given that,

The amount of earning = $69500

From the given table total deduction = 812.85

Since she pay deductions in every two weeks

Therefore,

The gross earning per year = 69500 - 812.85

                                              = $ 48388

There are 365 days in a year

So earing per day = 69500/365 = 4190.411

So gross earing per day =  48388 /365 = 132.569

SO the gross percentage = (132.5/190.5)x100

                                          = 69.5 %

Hence the required percentage is 69.5%

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The coordinates of Y' are (6, 4) and the coordinates of Z' are (5, -1).

To find the coordinates of Y' and Z', we need to apply the same translation that maps X to X'.

We know that the vector that connects X to X' is (3 - (-1), 1 - 0) = (4, 1).

So, to translate Y to Y', we add the vector (4, 1) to the coordinates of Y:

Y' = Y + (4, 1)

= (2, 3) + (4, 1)

= (6, 4)

Similarly, to translate Z to Z', we add the vector (4, 1) to the coordinates of Z:

Z' = Z + (4, 1)

= (1, -2) + (4, 1)

= (5, -1)

Therefore, the coordinates of Y' are (6, 4) and the coordinates of Z' are (5, -1).

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Answer:

False

Step-by-step explanation:

you have to save at least 20 percent

The statements that are true are ;

1. tan(tetha) = -√3

2. the measure of the reference angle is 60°

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

The value of each angle depends on the quadrant it falls on.

First quadrant = 0-90°

second quadrant = 91° -180°

third quadrant = 181-270°

fourth quadrant = 271° - 360°

pi is measurement of angle in radians which is equivalent to 180°

therefore;

2π/3 = 2 × 180/3 = 360/3

= 120°

120 falls on the second quadrant,

tan60 = √3

tan 120 = -√3

the reference angle is 60° i.e

180-120 = 60°

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Answer:

i think the bag contains $3.56

Step-by-step explanation:

The equation that models the amount of water in the tank after x minutes is:

y = -3x + 9

We know that the tank contains 9 liters of water, and it loses water at a constant rate of 3 liters per minute.

Then we can model the amount of water y in the tank after x minutes with a linear equation where the y-intercept is 9 and the rate of change is -3 (the amount it loses per unit of x)

Then the equation is:

y = -3x + 9

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To solve for x in terms of y in the equation 23x + 15y = 2, we can start by isolating the term with x on one side of the equation. We can do this by subtracting 15y from both sides of the equation to get 23x + 15y - 15y = 2 - 15y, which simplifies to 23x = 2 - 15y.

Next, we can solve for x by dividing both sides of the equation by 23 to get 23x/23 = (2 - 15y)/23, which simplifies to x = (2 - 15y)/23.

Therefore, the solution for x in terms of y is x = (2 - 15y)/23.

It will take 15.03 years for Bentley's money to triple.

For Bentley:

We have

Principal (P) = $670

Interest rate (r) = 6 7/8% = 0.06875 (compounded quarterly)

Time (t) = unknown

Amount after t years (A) = [tex]P(1 + r/4)^{4t}[/tex]

For Camden:

We have

Principal (P) = $670

Interest rate (r) = 7 3/8% = 0.07375 (compounded annually)

Time (t) = unknown

Amount after t years (A) = [tex]P(1 + r)^t[/tex]

We have to find t such that 3P_Bentley = Camden.

[tex]2010 = 2010(1 + r/4)^{4t} / (1 + r)^t[/tex]

Simplifying, we get:

[tex](1 + r/4)^{4t} / (1 + r)^t = 1/3[/tex]

Taking natural logarithm:

4t ln(1 + r/4) - t ln(1 + r) = ln(1/3)

4 ln(1 + r/4) - ln(1 + r) = ln(1/3) / t

t = (4 ln(3.88356) - 4 ln(16)) / ln(3)

Solving for t, we get:

t = 15.034752564

t = 15.03 years.

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The whisker plot with the data provided should includes a range that goes from 7 to 49, and a median of 23.

A whisker plot, also known as a box plot, is a graphical representation of a data set that shows the distribution of the data along with some important statistical information, such as the median, quartiles, and outliers. It is particularly useful for comparing the distribution of different data sets or for identifying potential outliers in a data set.

To create a whisker plot, follow these steps:

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The solution is,  that the answer to your question would be that the subject(s) of the sentence is/are the following one/s: Tablet, pens. That is, the correct option would be B.

In this sentence, the PP indicating the location of the tablet of paper and the pens appears in initial position in the sentence.

The sentence sounds odd and is not grammatically correct because in these cases an existential there is introduced.

Take a,

a) In the desk drawer, there are a tablet of paper and some pens

b) *In the desk drawer, are a tablet of paper and some pens

The NP "a tablet of paper and some pens" would function as the subject complement and the existential there acts as grammatical subject filler(a).

Hence, The solution is,  that the answer to your question would be that the subject(s) of the sentence is/are the following one/s: Tablet, pens. That is, the correct option would be B.

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Answer: To determine the correct answer, we need to calculate the t-test statistic using the given information.

The formula for the t-test statistic for a one-sample t-test is:

t = (x - μ) / (s / sqrt(n))

where x is the sample mean, μ is the hypothesized population mean (which is not given in this question), s is the sample standard deviation, and n is the sample size.

Here, x = 63.2 minutes, s = 7.7 minutes, and n = 24 cases. We are not given a hypothesized population mean, so we cannot calculate the exact t-test statistic. However, we can use the sample mean as an estimate of the population mean for the purposes of this question.

Plugging in the values, we get:

t = (63.2 - 60) / (7.7 / sqrt(24))

t = 2.04

Therefore, the correct answer is (a) t = 2.04.

If  landscaper worked 8-1/2 hours on Monday, 3-1/3 hours on Tuesday and 6-1/4 hours on Wednesday then  total of 18.08 hours worked.

To find the total number of hours worked, we need to add up the hours worked on each day.

On Monday, the landscaper worked for 8-1/2 hours, which is the same as 8.5 hours.

On Tuesday, the landscaper worked for 3-1/3 hours, which is the same as 3.33 hours

On Wednesday, the landscaper worked for 6-1/4 hours, which is the same as 6.25 hours.

To find the total hours worked, we add the hours worked on each day:

Total hours worked = 8.5 + 3.33 + 6.25

Total hours worked = 18.08

Therefore, the landscaper worked a total of 18.08 hours.

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The point (3,b) can lie on the circle with radius 8 and center (-2,-1) for values of b equal to -1 + √39 and -1 - √39.

We know that the circle with radius 8 and center (-2,-1) has the equation:

(x + 2)² + (y + 1)² = 8²

Substituting x = 3 and y = b, we get:

(3 + 2)² + (b + 1)² = 8²

Simplifying, we get:

25 + (b + 1)² = 64

(b + 1)² = 39

Taking the square root of both sides, we get:

b + 1 = ± √39

Therefore, the possible values of b are:

b = -1 ± √39

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The calculated value of the surface area of the cylinder is 138π square inches

From the question, we have the following parameters that can be used in our computation:

Height, h = 5 1/2 inches

Diameter, d = 12 inches

Using the above as a guide, we have the following:

SA = 2πr(r + h)

Where

Radius, r = d/2

r = 12/2

r = 6

Substitute the known values in the above equation, so, we have the following representation

SA = 2 * π * 6(6 + 5 1/2)

Evaluate

SA = 138π

Hence, the surface area of the cylinder is 138π square inches

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From the discrete distribution given, the standard deviation is of 0.83 children.

The distribution is:

P(X=1) =0.5

P(X=2) =0.25

P(X=3) =0.25

The mean is 1.75.

The standard deviation is the square root of the sum of the difference squared between each value and the mean, multiplied by it's respective probability.

Hence:

The standard deviation is 0.83 children.

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The probability that Rosie does her homework is: 27/44

Conditional probability is defined as the likelihood of an event or outcome occurring, based on the occurrence of a previous event or outcome. Conditional probability is calculated by multiplying the probability of the preceding event by the updated probability of the succeeding, or conditional, event.

Thus, we can solve this probability as:

(6/11 * 1/2) + ((1 - (6/11) * 3/4)

= (3/11) + (5/11 * 3/4)

= (3/11) + 15/44

= 27/44

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False. The effect of the tax on the quantity sold would not have been larger if the tax had been levied on producers.

What is Algebraic expression ?

An algebraic expression is a combination of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. It may contain one or more terms, with each term separated by a plus or minus sign. Algebraic expressions are used in algebra to represent mathematical relationships and formulas.

The tax incidence (the division of the burden of a tax between buyers and sellers) does not depend on which side of the market the tax is levied on, but rather on the relative elasticities of supply and demand. In this case, we don't have information about the elasticities of supply and demand, so we cannot determine the tax incidence. However, we can infer that the tax on consumers did reduce the quantity sold (from 30 million liters to 25 million liters), so it's unlikely that a tax on producers would have had a larger effect.

Therefore, False. The effect of the tax on the quantity sold would not have been larger if the tax had been levied on producers.

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The integral for this problem has the result given as follows:

[tex]\int_2^5 -8f(x) dx = 168[/tex]

The integral over the largest region for this problem is given as follows:

[tex]\int_2^9 f(x) dx = -14[/tex]

The integral can be divided into two smaller regions, as follows:

[tex]\int_2^9 f(x) dx = \int_2^5 f(x) dx + \int_5^9 f(x) dx[/tex]

Hence the integral from x = 5 to x = 9 is given as follows:

[tex]-14 = \int_2^5 f(x) dx + 7[/tex]

[tex]\int_2^5 f(x) dx = -21[/tex]

Multiplying -21 by -8, the result of the integral is given as follows:

[tex]\int_2^5 -8f(x) dx = 168[/tex]

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Answer:

well 10^4 is 10000, and 4x10^2 is 1600 and if we divide 10000 by 1600 we can find out how many times greater 10000 is than 1600, and the anwser is 6.25

Step-by-step explanation:

The appropriate statistic for testing the null hypothesis is given as  D (-2.20/0.07)

Coefficient for slope variable (Exercise time) = -2.20

Standard error of coefficient = 0.07

Therefore, the test statistic value to verify whether or not there is an apparent slope on a population regression line can be estimated as follows.

Test statistic = Coefficient for slope variable/Standard error of coefficient = -2.20/0.07

Therefore its correct answer is D (-2.20/0.07)

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The Slope of x = -3 is undefined; 6x-3y=18 is 2; (4,-2) and (1,7) is -3; and (7,5) and (8,5) is 0.

Slope of a line (m) = rise/run = change in y / change in x

Note that the slope of vertical lines are always undefined.

Therefore, we have the following:

x = -3 represents the equation of a vertical line, therefore, the slope is undefined.

6x - 3y = 18 is rewritten as y = 2x - 6 in slope-intercept form. The slope is 2.

For (4,-2) and (1,7):

Slope (m) = (7 -(-2))/(1 - 4) = 9/-3 = -3

For (7,5) and (8,5):

Slope (m) = 5 - 5/8 - 7 = 0/1 = 0

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Answer:

1/8

Step-by-step explanation:

The absolute value of positive numbers (decimals, fractions, etc.) is the same number. The absolute value of negative numbers (decimals, fractions, etc.) is the same, but positive.

What is Absolute value?

Absolute value is a set of lines that if any number is placed in it, the number would be positive

Absolute signs: | |

Examples:

|-6|= 6 (Absolute value of -6 is 6)

|9|=9 (Absolute value of 9  is 9) (Because 9 is already positive)

Your Question

Since 1/8 is already positive, the absolute value of it would just be 1/8

Please feel free to ask questions

Answer:

Step-by-step explanation:

To solve this expression, we need to first combine the integer part of -2 and -1, which gives us -3. Then, we need to combine the fractional parts of -1 and 3/7.

To do this, we find a common denominator, which is 7, and convert -1 to an equivalent fraction with denominator 7 by multiplying both the numerator and denominator by 7, which gives us -7/7.

Now we can add -7/7 and 3/7 to get -4/7.

Therefore, -2 - 1 3/7 = -3 - 4/7, which can also be written as -3 4/7 or -23/7 in improper fraction form

Answer:

2,090. because Sarah has long distances and wanted to go home

Answer:

Step-by-step explanation:

You want the tangent and secant of the angle θ the line x-3y=0 makes with the negative x-axis.

The relations between the angle and its trig functions are ...

  Tan = Opposite/Adjacent

  Sec = Hypotenuse/Adjacent

We have shown the angle of interest in a unit circle with the "adjacent" side equal to the radius of the circle (1). Then the values of interest are ...

  tan(θ) = opposite side = 1/3 . . . . . . . equal to the slope of the line

  sec(θ) = hypotenuse = √(1 +(1/3)²) = √(10/9) = (√10)/3

The tangent is 1/3; the secant is (√10)/3.

__

Additional comment

A third-quadrant angle measured from the +x axis has a negative secant. The tangent is positive there.

Since this angle is measured from the -x axis, it isn't clear whether it is supposed to be considered a 3rd-quadrant angle or not. For the given acute angle θ shown, the trig functions are both positive. YMMV

Thus, Cost of making 1  solid aluminium ball is found as  $211.95.

Something spherical is similar to a sphere in three dimensions in that it is round, or somewhat round. Even though they are never exactly round, oranges and apples are both spherical. Since an asteroid is frequently spheroidal—nearly round but lumpy—it has an approximately spherical form.

radius of solid aluminium balls r = 7.5 in.

Cost of of aluminium = $0.12 per cu. in.

Volume of sphere = 4/3 * π * r³

Volume of sphere = 4/3 * 3.14 * 7.5³

Volume of sphere = 1766.25 cu. in.

Cost of making 1  solid aluminium ball = 0.12 * 1766.25

Cost of making 1  solid aluminium ball = $211.95.

Thus, Cost of making 1  solid aluminium ball is found as  $211.95.

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