someone please answerrrrrr

A. 60

Step-by-step explanation:

ZA + ZB + ZC = 180°

180° ÷ 3 = 60°

The correct equation that represents the inequality is f(x)  > √1 - x.

What is the inequality equation?

To graph an inequality, treat the <, ≤, >, or ≥ sign as an = sign, and graph the equation. If the inequality is < or >, graph the equation as a dotted line. If the inequality is ≤ or ≥, graph the equation as a solid line.

An inequality is a mathematical relationship between two expressions and is represented using one of the following: ≤: "less than or equal to" <: "less than" ≠: "not equal to"

We have given the graph that represents the inequality equation,

and the inequality equations:

f(x)  > √1 - x

f(x)  ≤ √1 - x

f(x)  ≥ √1 - x

f(x)  < √1 - x

Hence, the correct equation that represents the inequality is f(x)  > √1 - x.

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The point that preserves the function is (0, 9), so the correct option is D.

A function is a relationship that maps elements from a set (domain) into another set (range).

Such that each element in the domain is mapped into only one element of the range.

In the graph of the function we can see the points:

(-7, 4)

(-3, -3)

(2, 9)

(3, -8)

(5, 7)

(9, 3)

So the inputs {-7, -3, 2, 3, 5, 9} are already used and we can't use them anymore, the correct option then is:

D (0, 9)

Which has the only input that is not already graphed on the function's graph.

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The time series component that exhibits a repeating pattern over successive periods, often one-year intervals is called the seasonal component.

The seasonal component is that portion of the variations in a time arrangement representing intra-year changes that are more or less steady year after year with regard to timing, direction, and magnitude. The seasonal component is additionally alluded to as the seasonality of a time series. The seasonal component reflects “normal” varieties that repeat each year to the same extent.

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The time series component that exhibits a repeating pattern over successive periods, often one-year intervals is called

A. a cyclical component

B. a trend component.

C. seasonal component.

D. irregular component.

The three factors that need to be taken into account when determining the sample size are the margin of error, level of confidence, and standard deviation.

To determine the sample size required to estimate the mean with a given level of confidence, we need to consider three factors. The first factor is the margin of error, which is the maximum distance between the sample mean and the true population mean that can be tolerated and is denoted by E.

The second factor is the level of confidence, which is the probability that the true population mean lies within the margin of error of the sample mean. This is denoted by (1-α), where α is the level of significance. Therefore, the level of confidence is 1 - α.

The third factor is the population standard deviation (σ) or the variance (σ²). If the population standard deviation is not given, we can use the sample standard deviation as an estimate. However, if the population size is greater than 30 and the distribution is normal, the sample mean can be used to estimate the population mean. On the other hand, if the population size is less than or equal to 30, the sample mean can be used to estimate the population mean only if the population distribution is normal.

Therefore, it is crucial to consider the distribution of the population when deciding if the sample mean can be used to estimate the population mean.

In summary, the three factors that need to be taken into account when determining the sample size required to estimate the mean with a given level of confidence are the margin of error, level of confidence, and population standard deviation (σ) or the variance (σ²). It is essential to understand each of these factors to accurately determine the required sample size.

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Answer:

your right is (C)

hope it's help you (^0^)

Answer: y would be -5

Step-by-step explanation:

Answer:

A. The plane will travel 1180 miles in 10 hours

B. The plane is traveling at a rate of 118 miles per hour

Step-by-step explanation:

Step 1: Divide 590 by 5 to get how many miles it travels in 1 hour

    1. 590/5 = 118 miles per hour

Step 2: Multiply 118 by 10 to get how many miles it travels in 10 hours

    2. 118 ∙ 10 = 1180 miles per 10 hours

The study described is a randomized experiment.By randomly assigning different online homework systems to the classes, the researcher can assess the effectiveness of these systems by comparing the pretest and final exam results.

In the study, the math department chair assigns different online homework systems to three out of four college algebra classes while one class does not use any online homework system. This assignment of different treatments (online homework systems) to the classes is a characteristic of a randomized experiment. The key element here is the random assignment of treatments, which allows for a comparison of the effects of the different homework systems on the students' performance.

Based on the information provided, the study described can be classified as a randomized experiment. By randomly assigning different online homework systems to the classes, the researcher can assess the effectiveness of these systems by comparing the pretest and final exam results. Randomized experiments are valuable in establishing causal relationships between variables, in this case, the effectiveness of online homework systems on student performance in college algebra classes.

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The prefrontal cortex is responsible for regulating higher cognitive functioning of the brain.

What is prefrontal cortex?

In the frontal lobe of the brain, there is a structure called the prefrontal cortex. It carries out cognitive functions like memory, attention, planning, flexibility, etc. It is regarded as the region of the brain that develops the least quickly

Prefrontal cortex is located in the frontal lobe.

The prefrontal cortex is responsible for regulating higher cognitive functioning of the brain.

Mid-twenties is when it reaches maturity. This explains why teenagers are more likely to establish harmful behaviours than younger kids and why adults are better at planning and thinking. An attention deficit and trouble remembering details can be brought on by prefrontal cortex (PFC) damage. Moreover, it may result in psychological changes, a diminished capacity for feeling, and bodily impairments associated with daily activities.

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The mass of anhydrous salt of magnesium sulfate heptahydrate is 0.254g.

The calculations for the mass of anhydrous salt of calcium chloride dihydrate and magnesium sulfate heptahydrate are as follows;

Calculation of mass of calcium chloride dihydrate Mass of dry crucible and cover (This would be measured after heating the washed crucible to dryness in step 2.) = 40.142g Mass of the crucible, cover and hydrated salt = 45.891gMass of the crucible, cover and anhydrous salt (2nd heating) = 45.490gMass of hydrated salt (45.891g - 40.142g) = 5.749g Mass of anhydrous salt (45.490g - 40.142g) = 5.348g

Therefore, the mass of the anhydrous salt of calcium chloride dihydrate is 5.348g. Calculation of mass of magnesium sulfate heptahydrate Mass of dry crucible and cover (This would be measured after heating the washed crucible to dryness in step 2.) = 40.142gMass of crucible, cover and hydrated salt = 45.891g

Mass of crucible, cover and anhydrous salt (2nd heating) = 39.889gMass of the crucible, cover and anhydrous salt (3rd heating) = 39.889g Mass of hydrated salt (45.891g - 40.142g) = 5.749g Mass of anhydrous salt (39.889g - 40.142g) = 0.254g

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Answer: it’s D

Step-by-step explanation:

Answer:

137022 pounds

Step-by-step explanation:

At 4 weeks = 1114 pounds

At 16 weeks = 123 times more.

At 16 weeks = 1114 pounds * 123

At 16 weeks = 137022 pounds.

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A solution of a system of linear equations is (0,−4).

What is Systems of Linear Equations?

A direct equation is an equation in two variables, and when it's graphed, a straight line is formed. The line is created by the combination of corresponding values that satisfy the equation. utmost generally, direct equations use the variables x and y so the corresponding values can be colluded as (x,y) pairs on the  co-ordinate plane .

Main body:

A system of direct equations is a group of two or further direct equations. The result to any system of direct equations is the point where the lines cross on a graph, still, because lines can be resemblant or coinciding, it's possible for a system to have no result( parallel) or infinitely numerous results( coinciding).

y = 3x−4

y=−x/2−4

now solve:

3x=−3/2x

1/2x=0

x=0

If x=0

, solve for the corresponding y-coordinate:

y=3(0)−4

y=−4

So, the solution is (0,−4).

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Once a payment for 15 year mortgage loan at a 4.5% interest rate is $1259.45 so the total amount of interest paid over the term of the loan is $32,845.64.

To find the original amount borrowed for the 15-year mortgage loan, we need to calculate the present value of the loan. We can use the formula for the present value of an annuity.
The formula is:
PV = PMT × [(1 - \((1+r)^{-n}\)) / r]
Where:
PV = Present Value (original amount borrowed)
PMT = Payment per period ($1259.45)
r = Interest rate per period (4.5% / 100 = 0.045)
n = Total number of periods (15 years * 12 months/year = 180 months)
Substituting the values into the formula:
PV = $1259.45 × [(1 - (1 + 0.045)⁽⁻¹⁸⁰⁾) / 0.045]
Calculating this expression gives us the present value (original amount borrowed) of $193,255.36.
To find the total amount of interest paid over the term of the loan, we can subtract the original amount borrowed from the total amount paid over the loan term. The total amount paid can be calculated by multiplying the monthly payment by the number of payments (180).
Total amount paid = $1259.45 × 180

= $226,101
Total interest paid = Total amount paid - Original amount borrowed
Total interest paid = $226,101 - $193,255.36

= $32,845.64
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1. Substitute the given values into the formula for the monthly payment of a mortgage loan. 2. Solve for the original loan amount (PV). 3. Subtract the original loan amount from the total amount paid to find the total amount of interest paid over the term of the loan.

To find the original amount borrowed for the 15-year mortgage loan, we need to use the formula for the monthly payment of a mortgage loan:

P = (PV * r) / (1 - (1 + r)^(-n))

Where:
P = Monthly payment
PV = Present value or original loan amount
r = Monthly interest rate
n = Total number of payments

In this case, we know the monthly payment (P) is $1259.45 and the interest rate (r) is 4.5% per year. To find the monthly interest rate, we need to divide the annual interest rate by 12 (number of months in a year). So, the monthly interest rate would be 4.5% / 12 = 0.375%.

Now, we can substitute the given values into the formula:

$1259.45 = (PV * 0.00375) / (1 - (1 + 0.00375)^(-15*12))

Next, we solve for PV, the original loan amount.

To find the total amount of interest paid over the term of the loan, we can subtract the original loan amount from the total amount paid.

To summarize:

1. Substitute the given values into the formula for the monthly payment of a mortgage loan.
2. Solve for the original loan amount (PV).
3. Subtract the original loan amount from the total amount paid to find the total amount of interest paid over the term of the loan.

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Answer:

16/12  or 4/3

Math

The claim that the population mean is less than 125 (Option E) would

the interval tends to refute.

The 90% confidence interval for the population mean is 135 to 160. This means that if we were to repeat the process of taking samples from the same population and constructing a 90% confidence interval, we would expect 90% of the intervals to contain the true population mean.

With this in mind, let's consider each claim:

A. The interval does not rule out the possibility that the population mean is more than 110, as 110 is less than the lower bound of the interval.

B. The interval does not rule out the possibility that the population mean is less than 150, as 150 is greater than the upper bound of the interval.

C. The interval does not rule out the possibility that the population mean is between 140 and 150, as both of these values fall within the interval.

D. The interval does not rule out the possibility that the population mean is more than 140, as 140 is less than the upper bound of the interval.

E. The interval refutes the claim that the population mean is less than 125, as 125 is less than the lower bound of the interval.

Therefore, the answer is (E) The population mean is less than than 125.

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Answer: B & D

Step-by-step explanation:

In this scenario we want to come out with a situation where both sides are in an even playing field, as the equation solves to zero.

If a diver is 35 feet below water (-35) and he comes up to breathe, he goes up 35ft (35) meaning he is at the surface (0).

If Manuel is in debt for 35$ (-35) and then he pays off the 35$ (+35) then he is even (at 0).

Answer:

A diver is 35 feet below the surface of the water and then comes up to the surface.

The amount of natural gas that homeowners can expect to use per month is influenced by various factors, including insulation levels and outdoor temperature.

However, without additional information or an established relationship between these factors, it is not possible to provide a precise estimate.

Insulation levels and outdoor temperature are just a few of the many factors that affect natural gas usage.

Other factors such as the size and efficiency of the heating system, the size and layout of the home, the insulation of walls and windows, and individual usage patterns can significantly impact gas consumption.

To obtain a more accurate estimate, it is recommended to consult energy professionals, utility companies, or use energy consumption calculators specifically designed for estimating natural gas usage based on multiple variables.

These tools take into account various factors to provide a more accurate estimation of monthly natural gas consumption.

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The length of the curve described by the function is approximately 21.14 units.

The length of the curve described by the function y = f (x) can be found using the formula below:$$\int_{a}^{b} \sqrt{1+\left[\frac{d y}{d x}\right]^{2}} d x$$

Where, a and b are the limits of the function.The function is y = 3x² + 4, which is a quadratic function.

Therefore, the derivative of y can be obtained as follows:$$\frac{d y}{d x} = 6x$$

Substitute the derivative of y into the formula to obtain:$$\int_{a}^{b} \sqrt{1+(6 x)^{2}} d x$$Integrating,

we have:$$\int_{a}^{b} \sqrt{1+36 x^{2}} d x$$Let u = 1 + 36x², then du/dx = 72x

which implies dx = 1/72 du/u^(1/2).

Hence, the integral is transformed to:

$$\frac{1}{72} \int_{1}^{37} u^{1 / 2} d u$$

Therefore, the integral is equal to:

$$\frac{1}{72}\left[\frac{2}{3} u^{3 / 2}\right]_{1}^{37}

= \frac{1}{72}\left[\frac{2}{3}\left(37^{3 / 2}-1\right)\right] \approx \boxed{21.14}$$T

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Step-by-step explanation:

Examples of like terms in math are x, 4x, -2x, and 7x. These are like terms because they all contain the same variable, x. The terms 8y2, y2, and -2y2 are like terms as well. These all contain the same variable, y, raised to the second power.

The sequence is  converges and  the limit of the sequence is 0.

For the sequence an = (8 + 4n²)/(n + 8n², we can simplify it as an = 4/n + 8, as n approaches infinity, the term 4/n goes to zero and the limit of the sequence is 8.

For the sequence an = 50 + 2⁸ⁿ, as n approaches infinity, the term 2^8n becomes very large, and the sequence diverges to infinity.

For the sequence an = (n + 3)/(16n + 3), we can divide both the numerator and denominator by n, so an = (1/n) + (3/n)/(16 + 3/n). As n approaches infinity, the term 1/n goes to zero, and the term 3/n goes to zero faster than 1/n, so the limit of the sequence is 0.

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Answer:

0.283

Step-by-step explanation:

Answer:

100

Step-by-step explanation:28.3% times 100

Answer:

  112

Step-by-step explanation:

You want the number of 3-digit "dropdown numbers".

A "dropdown number" has distinct digits, one of which is the average of all digits.

We can count the number of dropdown numbers by considering the digit that is the average of the rest. For that digit (n), the number of possible choices of the other digits is the lesser of (n) or (9-n). For example, for n=2, we can have other digit pairs of (0, 4) or (1, 3). For n=6, we can have other digit pairs of (5, 7) or (4, 8) or (3, 9).

The value of n may range from 1–8, inclusive, so the number of digit triples will be 2(1 +2 +3 +4) = 20. Each triple of digits can be arranged 6 ways, for a total of 20·6 = 120 numbers of 3-digits.

Of those, 8 numbers will have a leading 0, so may not count as 3-digit numbers. That leave a total of 120 -8 = 112 3-digit dropdown numbers.

__

Additional comment

The first 5 in numerical order are ...

  102, 120, 123, 132, 135

The last 5 are ...

  957, 963, 975, 978, 987

In general, a number on the list, m, has a corresponding number 999-m also on the list. The exceptions are numbers that have a leading digit of 0.

Step-by-step explanation:

\( \tt \longrightarrow \dfrac{8}{2 \sqrt{6} + 3 } - \dfrac{4}{2 \sqrt{6} - 3 } \\ \\ \tt \longrightarrow \dfrac{8(2 \sqrt{6} - 3) - 4(2 \sqrt{6} + 3)}{(2 \sqrt{6} + 3)(2 \sqrt{6} - 3 ) } \\ \\ \tt \longrightarrow \dfrac{16\sqrt{6} - 24 - 8 \sqrt{6} - 12}{(2 \sqrt{6} ) {}^{2} - (3) {}^{2} } \\ \\ \tt \longrightarrow \dfrac{8\sqrt{6} - 36}{24 - 9 } \\ \\ \tt \green{\longrightarrow \dfrac{8\sqrt{6} - 36}{15 }} \)

Answer:

33 chocolates

Step-by-step explanation:

3 chocolates times 5 days = 15 chocolates

48 chocolates minus 15 chocolates = 33 chocolates

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Area. The amount of space covered by a two-dimensional object; the amount of carpet you'd need to cover a floor would depend on the floor's area.

Perimeter. The distance around a two-dimensional object; the amount of fence you'd need to surround your yard equals the perimeter of your yard. (The perimeter of a circular object is called the circumference.

Volume. The amount of three-dimensional space inside an object; the amount of liquid inside a soda can represents the can's volume.

Surface area. Measures the amount of "skin" needed to cover a three-dimensional object, neglecting its thickness; the amount of siding you'd need to completely cover a house represents the surface area of that house's walls.

Description Formula Variables

Area of a rectangle A = l · w l = length, w = width

Perimeter of a rectangle P = 2(l + w) l = length, w = width

Area of a circle A = r2 r = radius of circle

Circumference of a circle C = 2r r = radius of circle

Volume of a rectangular solid V = l · w · h l = length, w = width, h = height

Volume of a cylinder V = r2h r = radius; h = height

Surface area of a cube SA = 6l2 l = length of side

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Answer:

sqroot 16/49 A

Step-by-step explanation:

The expression  \(\frac{\sqrt{16}}{\sqrt{49}}\) is equivalent to expression \(\sqrt{\frac{16}{49}}\) because by property  \(\frac{\sqrt{a}}{\sqrt{b}}=\sqrt{\frac{a}{b} }\).

The expression \(\frac{\sqrt{16}}{\sqrt{49}}\) can be simplified by taking the square root of 16 and the square root of 49 separately.

√16 equals 4 because the square root of 16 is the number that, when multiplied by itself, gives 16.

Similarly, √49 equals 7 because the square root of 49 is the number that, when multiplied by itself, gives 49.

So, the expression \(\frac{\sqrt{16}}{\sqrt{49}}\) simplifies to 4/7.

and we know that \(\frac{\sqrt{a}}{\sqrt{b}}=\sqrt{\frac{a}{b} }\)

\(\sqrt{\frac{16}{49}}\) is equivalent to  \(\frac{\sqrt{16}}{\sqrt{49}}\) , which simplifies to 4/7.

Therefore, \(\sqrt{\frac{16}{49}}\) is equivalent to  \(\frac{\sqrt{16}}{\sqrt{49}}\) .

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Answer:

70 - 80 foot per second

Step-by-step explanation:

Multiply the speed value by 1,467

Answer:

10.6 =c

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

7^2 + 8^2 = c^2

49+ 64 = c^2

113 = c^2

Taking the square root of each side

sqrt(113) = sqrt(c^2)

10.63014581=c

To the nearest tenth

10.6 =c

Answer:

The length of C is 10.6

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