Help me with this please

Answer:

q = 6/13, p = 35/13

Step-by-step explanation:

3p + 2q = 9

2p - 3q = 4

_________ (subtract the two equation from each other.)

p + 5q = 5

p = 5 - 5q

2(5 - 5q) - 3q = 4 (substitute value of p into equation)

10 - 10q - 3q = 4

10 - 13q = 4

-13q = -6

q = 6/13

3p + 2(6/13) = 9 (substitute value of q into equation)

3p + 12/13 = 9

3p = 105/13

p = 35/13

Answer:

$8.05

Step-by-step explanation:

1% of $115 = $1.15

$1.15 x 7 = $8.05

The rejection region for a left-tail hypothesis test with a significance level of 0.05 is z < -1.96

The rejection region for a left-tail hypothesis test with a significance level of 0.05 is z < -1.96. Since the calculated test statistic of -1.95 falls just outside of the rejection region, but still within the non-rejection region, the correct conclusion would be to ""Fail to reject the null hypothesis"" (option b). This means that there is not enough evidence to reject the null hypothesis at the chosen level of significance.

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We need to determine the appropriate axis of revolution. The correct axis of revolution can be identified based on the symmetry of the region and the axis that aligns with the boundaries of R.

Looking at region R, we observe that it is symmetric about the y-axis. The curve y = 3x^4 is reflected across the y-axis, and the lines x = 1 and x = -1 are equidistant from the y-axis. Therefore, the axis of revolution should be the y-axis (Option B). Revolving region R about the y-axis will generate a solid with rotational symmetry. To set up the integral for finding the volume, we will use the method of cylindrical shells. The integral will involve integrating the product of the circumference of each cylindrical shell, the height of the shell (corresponding to the differential element dx), and the function that represents the radius of each shell (in terms of x). While the integral setup is not explicitly required in the question, understanding the appropriate axis of revolution is crucial for correctly setting up the integral and finding the volume of the solid generated by revolving region R.

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Answer:

bc=eb and ca=fa

please tell me if this is actually the right answer

Step-by-step explanation:

bc=eb and ac=fa is wrong

bc=eb and ca=fa is right

cb=eb and ac=fa is wrong

ba=eb and ab=fa is wrong

Answer:

Do assignments the day it is given

set a time to do things

Ask people to check up on you. e.g: my friends always ask if I did the assignment.

Overall....Just take away any distractions u might have

Answer:

Step-by-step explanation:

width:length =1:3

width:15=1:3

width =5

The width of the actual car is 45 feet.

Given that,

A automobile model is 3 feet long and 1 foot wide. Considering that the automobile is 15 feet long

To find : The width of the actual car

Model Car's Width (W) = 1 foot

Model Car's Length (L) = 3 feet

Actual Car's Length (l) = 15 feet

Actual Car's Width (w) = x feet

To solve,

We know that,

Product of Means = Product of Extremes which means ,

1 : 3 :: 15 : x

1 * x = 15 *3

x = 45.

Therefore, the Actual Car's Width (w) is 45 feet.

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For a taxable income of $1,80,900, the effective tax rate is 21.11%.

Marginal tax is the tax rate applied to an individual’s last dollar of income. It is the additional tax that must be paid on any additional income earned. In other words, it is the tax rate that applies to an individual’s income after all deductions. For example, if an individual’s income is $50,000 and the marginal tax rate is 25%, then the individual must pay an additional $12,500 in taxes on top of the $25,000 in taxes already paid on their $50,000 income.

Marginal tax rates are progressive, meaning that as an individual’s income increases, the marginal tax rate will increase as well. The marginal tax rate is important to understand because it helps individuals determine how much additional income they will need to earn in order to make up for the taxes they will have to pay on that income. It is also important to understand how marginal tax rates can affect tax planning strategies.

To determine the effective tax rate for a taxable income of $180,900, calculate the sum of the marginal tax rates for each tax bracket that the $180,900 falls into. The taxable income of $180,900 is greater than $89,075 and less than $170,050. The marginal tax rates for these two tax brackets are 22% and 24%, respectively. The sum of the marginal tax rates is 46%. Divide the sum by the taxable income of $180,900 to get the effective tax rate of 21.11%. Round the final answer to the nearest hundredth to get 21.11%.

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The probability of getting e's not next to each other is 0.05.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

Given that the letters of the word `sixteen' are randomly arranged.

The arrangement of the e's not to come next to each other is, 3! and the total arrangement will be 5!

The probability will be calculated as,

P = (3!/5!)

P = (3x 2) / (5x4x3x2x1)

P = 1 / 20

P = 0.05

Therefore, the probability of getting e's not next to each other is 0.05.

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The hydrostatic pressure on the bottom of the aquarium is 8044 lb/ft2.

The hydrostatic pressure on the bottom of the aquarium can be found using the formula:

P = ρgh

where P is the pressure, ρ is the density of the fluid (water), g is the acceleration due to gravity, and h is the depth of the fluid.

Here, ρ = 62.5 lb/ft3, g = 32.2 ft/s2 (acceleration due to gravity), and h = 4 ft (depth of water).

Thus, the hydrostatic pressure on the bottom of the aquarium is:

P = (62.5 lb/ft3) x (32.2 ft/s2) x (4 ft)

= 8044 lb/ft2

Therefore, the hydrostatic pressure on the bottom of the aquarium is 8044 lb/ft2.

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The percentage of people heavier than person A is approximately 100% - (0.8413  100%) = 15.87%.

First, we need to calculate the z-score for person A's weight. The z-score measures the number of standard deviations person A's weight is away from the mean.

The formula to calculate the z-score is:

z = (x - μ) / σ

Where:

- x is the value we want to convert to a z-score (person A's weight)

- μ is the mean of the distribution (160 lbs)

- σ is the standard deviation of the distribution (15 lbs)

Substituting the values:

z = (145 - 160) / 15

z = -1

Now, we need to find the area to the right of the z-score of -1 on the standard normal distribution table or using a calculator.

The area to the right of z = -1 is equal to the area to the left of z = 1 (since the total area under the curve is 1).

Using a standard normal distribution table or calculator, we find that the area to the left of z = 1 is approximately 0.8413.

Therefore, the percentage of people heavier than person A is approximately 100% - (0.8413100%) = 15.87%.

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Answer: 1.48

Step-by-step explanation:

I divided 4.44 by 3 and got 1.48 simple math ...

If f(x) = 7x and g(x) = 3x+1, the value of given function (fog)(x) is 21x+7. Therefore, the correct option is option D among all the given options.

In mathematics, a function is a statement, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences. It is equivalent to linear forms in linear algebra, which are linear mappings from a vector space into their scalar field.

f(x) = 7x

g(x) = 3x+1

(fog)(x) = f(g(x))

(fog)(x) = f(3x+1)

(fog)(x) =7(3x+1)

⇒(fog)(x) = 21x+7

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Derek's total income from selling 31 bags of popcorn at the first game is $62 and he sold 322 bags of popcorn over the whole season.

It is a branch of mathematics that deals with the occurrence of a random event.

a. Independent variable: Bags of popcorn (X)

Dependent variable: Income (I)

b. If the function is I(X) = 2X, we can find Derek's total income by plugging in the number of bags he sold at the first game, which is X = 31:

I(31) = 2(31) = 62

Therefore, Derek's total income from selling 31 bags of popcorn at the first game is $62.

c. To find out how many bags of popcorn Derek sold over the whole season, we need to rearrange the function to solve for X:

I(X) = 2X

X = I(X) / 2

We know that Derek made a total income of $644 over the whole season, so we can plug this in to find X:

X = 644 / 2 = 322

Therefore, Derek sold 322 bags of popcorn over the whole season.

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The length of the ladder is 28 feet

From the question, we have the following parameters

Base length to the ladder = 14 feet

Angle between the building and the ladder, x = 3- degrees

These parameters can be represented as

Base = 14 feet

x = 30 degrees

The equation that calculates the ladder's length can be calculated using the following sine ratio

i.e.

sin(x) = Base/Length

Substitute the known values in the above equation

So, we have the following equation

sin(30) = 14/Length

Make 'Length' the subject

Length = 14/sin(30)

Evaluate

Length = 28

Hence, the length is 28 feet

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Answer subtract 5, add 6

Step-by-step explanation:

8-5=3

3+6=9

9-5=4

and so on

The correct answer is (b) all real numbers except odd multiples of π/2. The domain of validity for cscθ (cosecant) is restricted because cosecant is undefined when the sine of an angle is zero.

In the trigonometric identity cscθ = 1/sinθ, the denominator sinθ becomes zero at odd multiples of π/2 (such as π/2, 3π/2, 5π/2, etc.), resulting in a division by zero error. Therefore, the cosecant function is not defined for these values of θ.

For all other real numbers θ, the sine function is non-zero and well-defined, allowing us to calculate the reciprocal of the sine and determine the value of the cosecant. Hence, the domain of validity for cscθ is all real numbers except odd multiples of π/2, as stated in option (b).

It's important to note that in trigonometry, the domain of validity is determined by avoiding any values that would lead to undefined expressions or division by zero errors.

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The domain of validity for csc θ = 1/sin θ is all real numbers except multiples of π, because at these points the sine function equals zero, and division by zero is undefined.

In mathematics, the cosecant function (csc), is defined as the reciprocal of the sine function, or 1/sinθ. The domain of a function are all the possible input values that will yield real numbers (output). For the csc function, its domain includes all real numbers except where the denominator is zero because division by zero is undefined.

In the unit circle context, sine equals zero at 0, π, 2π, ..., and the negative counterparts. Basically, these are the multiples of π. Thus, for the csc function, the domain is all real numbers except multiples of π, which matches option d in your choices.

The domain of validity for csc θ = 1/sin θ is all real numbers except multiples of π.

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Answer:

A = $32,652.44

Step-by-step explanation:

Given: Principal (P) = 30,760.08, Annual Rate (R) = 12%, Time (t in years) = 0.5

To find: How much David needs to invest monthly

Formula: \(A = P(1 + r/n)^n^t\)

Solution: To find, simply add principal + interest

First, convert R as a percent to r as a decimal

r = R/100

r = 12/100

r = 0.12 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 30,760.08(1 + 0.12/12)(12)(0.5)

A = 30,760.08(1 + 0.01)(6)

A = $32,652.44

Therefore;  

The total amount David will obtain with 30,760.08 for 6 months, 12%is $32,652.44.

Answer:

y=-15

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Answer:

Actual volume = 40 cm^3.

Step-by-step explanation:

15% = 0.15 as a decimal fraction.

Let the actual volume be x cm^3, then we have the equation:

x + 0.15x = 46

1.15x = 46

x   = 46 / 1.15  

    = 40 cm^3.

True. Exception reports show a greater level of detail than is included in routine reports.

Exception reports are reports that help in identifying data that does not conform to expected patterns. Exception reports show information about an exception in the data set.

This helps to identify irregularities or anomalies in data or system operations.Exception reports are used to analyze system performance, monitor resource consumption, and to detect unusual activity.

This type of report is important to identify issues or errors, where the routine reports or standard reports would not provide enough detail or insight to do so.

It provides detailed information on any unusual event or anomaly that occurred beyond the usual course of events or processes.Exception reports are generated and distributed when the data is not expected or when an event occurs that is outside of what is considered typical.

For example, a financial system might generate an exception report if a transaction is entered that exceeds the maximum allowed amount. This report would show the details of the transaction and highlight the exception.

The purpose of exception reports is to provide users with a higher level of detail than they would find in routine reports. Exception reports are used to highlight significant data, which will be used for further analysis or action.

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The answers to the questions based on the circle graph are given as follows.

a. The degrees for each part of the circle graph are approximately -

b. The percentage of people who chose each day is approximately -

c. The number of people who chose each day is approximately -

d. See the table attached.

To find the values for each part of the circle graph, we need to determine the value of x.

Given the information provided -

Monday = x°

Tuesday = 3/2x°

Wednesday = 90°

Thursday = 3x°

Friday = 2x°

a. To find the value of x, we can add up the angles of all the days in the circle graph -

x + (3/2)x + 90 + 3x + 2x = 360°

Simplify the equation -

Now  calculate the valuesfor each   protionof the circle graph -

b. The percentage of people who chose each day

c. Calculate the number of   people who chose each day,we can use the percentage values andmultiply them   by the total number of people surveyed (200).

d. Organizing the results in a table - See attached table.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

See attached Image.

Answer:

48

Step-by-step explanation:

Step-by-step explanation:

come on, you should really be able to answer these things yourself now !

in such cases the total is not the whole class, but the sum of all students that satisfy a certain basic criteria. in this case it is "did not complete the homework".

now, from all the students that did not complete the homework (3+5 = 8), how many have still passed the test ?

3.

so the probability to still pass the test although the homework was not completed is

3/8

Step-by-step explanation:

Here, slope= 4/5 , As y= mx+c

according to formula, y-y1= m(x-x1)

y-6= 4/5(x+6)

5/4 (y-6)= x+6

5/4y - 15/2= x+6

x- 5/4y + 27/2 =0

Step-by-step explanation:

add the radii to get the diameter then multipy by pi

10 (3.14) =31.4

Answer:

Using points ( 2 , - 4) and ( 0 , 2)

Slope = 2+4/0-2 = 6/-2 = - 3

Since the lines are parallel their slope will be the same

So the slope of the line parallel to the one in the picture is - 3

That's option A.

Hope this helps.

Answer:

i believe its:     -1/3

Step-by-step explanation:

if the line is parallel to the original line, the slope should be the same, and the slope of the original line is - 1/3. the slope is negative because the line is heading downwards, or in a negative direction. hope this helped!!

Answer:

g=20

Step-by-step explanation:

3g−10+10=50+10

3g=60

3g / 3 = 60/3

g=20