mark runs 5 miles in 40 minutes. if he continues at the same rate can he run 14 miles in 120 minutes

Answer:

A (3,5)

Step-by-step explanation:

A.P.E.X. Approved

The process of ordering objects or numbers is known as permutation. Combinations are a method of choosing items or numbers from a collection or group of items so that the order of the items is irrelevant.

Combinations are used to group objects or to determine how many subgroups can be formed from the given collection of objects. Additionally, we use permutations to determine the amount of potential combinations of unrelated objects.

Fir example, if we want to select 2 players from 6. This will be:

= 6! / 2! (6 - 2)!

= 15 ways

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When the polynomial p(x)=-x^5-2x^3+4x-3, then the value of p(-1) is 3

The Remainder Theorem is a fundamental concept in algebra that relates the value of a polynomial at a certain point to the remainder of the polynomial's division by a linear factor.

The remainder theorem states that when a polynomial p(x) is divided by (x - a), the remainder is equal to p(a).

In this case, we are asked to find p(-1) when p(x) = -x^5 - 2x^3 + 4x - 3.

To use the remainder theorem, we need to divide p(x) by (x - (-1)), which is the same as (x + 1).

We can perform polynomial long division to find the quotient and remainder

The remainder is -x + 2, which means that p(-1) = -(-1) + 2 = 3.

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Answer:

false

Step-by-step explanation:

Answer:

no, its false

Step-by-step explanation:

Answer:

The rocket will hit the ground after about 8.20 seconds.

Step-by-step explanation:

The height of the rocket y, in feet, x seconds after launch is modeled by the equation:

\(y=-16x^2+121x+83\)

We want to find the time at which the rocket will hit the ground.

If it hits the ground, the height of the rocket y will be 0. Thus:

\(0=-16x^2+121x+83\)

We can solve for x. Factoring (if possible at all) or completing the square can be tedious, so we can use the quadratic formula:

\(\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)

In this case, a = -16, b = 121, and c = 83. Substitute:

\(\displaystyle x=\frac{-(121)\pm\sqrt{(121)^2-4(-16)(83)}}{2(-16)}\)

Simplify:

\(\displaystyle x=\frac{-121\pm\sqrt{19953}}{-32}\)

Divide everything by -1 and simplify the square root. The plus/minus will remain unchanged:

\(\displaystyle x=\frac{121\pm3\sqrt{2217}}{32}\)

Therefore, our two solutions are:

\(\displaystyle x=\frac{121+3\sqrt{2217}}{32}\approx 8.20\text{ or } x=\frac{121-3\sqrt{2217}}{32}\approx -0.63\)

Since time cannot be negative, we can ignore the second solution.

Therefore, the rocket will hit the ground after about 8.20 seconds.

The resulting z-score for which the area to its left is 0.85 is approximately 1.04. Therefore, the z-score is 1.04 for which the area to its left is 0.85.

To find the z-score for which the area to its left is 0.85 using the TI-84 Plus calculator, you can follow these steps:1. Turn on the calculator and select "normalcdf" from the "Distributions" menu.2. Enter a lower limit of negative infinity (i.e., -1E99) and an upper limit of the desired z-score.3. Enter a mean of 0 and a standard deviation of 1, since we are working with the standard normal distribution.4. Press "enter" to find the area to the left of the specified z-score.5. Adjust the z-score until the area to the left is as close as possible to the desired value of 0.85.6.

Record the z-score and round to two decimal places if necessary.The resulting z-score for which the area to its left is 0.85 is approximately 1.04. Therefore, the z-score is 1.04 for which the area to its left is 0.85.

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Rounding to the nearest degree, the angle of depression from the airplane to the airport is 22 degrees.

What is the angles of depression from the airplane to the airport ?

We can see that the angle of depression is the angle between the horizontal ground and the line of sight from the airplane to the airport.

Using the tangent function, we have:

tan(θ) = opposite / adjacent

where opposite = height of airplane = 3 miles, and adjacent = distance from airplane to airport = 7.5 miles.

So, tan(θ) = 3 / 7.5

Taking the inverse tangent of both sides, we get:

θ = tan⁻¹(3 / 7.5) ≈ 22 degrees

Therefore, the angle of depression from the airplane to the airport is approximately 22 degrees (rounded to the nearest degree).

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Answer:

\(y = -\frac{1}{5}x + 7\)

Step-by-step explanation:

Find the perpendicular slope:

\(-\frac{1}{5}\)

-- The y-intercept is given to you: 7

Slope-intercept form:

\(y = -\frac{1}{5}x + 7\)

To complete the tables, we multiply the given numbers:

First table:

Second table:

Now, to determine which option is less expensive we compute the total annual expenses for each case:

1.-Rental:

2.- Homeowner:

From the above calculations, we can conclude that the cheaper option based on the given annual expenses is to rent.

Renting is less expensive.

Answer:

Is that all

_______

_______

Answer:

$20

Step-by-step explanation:

Say the amount of money spend is x and he uses up half of it. That would mean he has x/2. Then his parents let him wash the car for $7. Finally, you would end up with (x/2)+7 = 17

After you have the equation reverse it (sorry I cant word it any better) you would subtract 7 from 17 to get 10. Then multiply by 2 to get 20.

So the answer would be $20

Answer:

$20

Step-by-step explanation:

Say the amount of money spend is x and he uses up half of it. That would mean he has x/2. Then his parents let him wash the car for $7. Finally, you would end up with (x/2)+7 = 17

After you have the equation reverse it (sorry I cant word it any better) you would subtract 7 from 17 to get 10. Then multiply by 2 to get 20.

So the answer would be $20

Step-by-step explanation:

the question doesn't make sense and you need to rephrase the question.

The required match of exponents is below the description with the correct solving steps in the solution part.

The product rule is an exponent rule that states that when you multiply similar bases, the add exponents.

For example, (a²)·(a³) = a²⁺³ = a⁵

1. How many times larger is 2 x 10⁻² then 3 x 10⁻⁶

Subtract by getting the same exponent to be like terms.

2. What is the difference between 2 x 10⁻² and 3 x 10⁻⁶?

Subtract coefficients and then add the exponents.

3. If you are 400 times 2 x 10⁻² away from the sun, how far are you?

Multiply by changing the number to Scientific Notation - multiply coefficients and add exponents.

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The intercept in a simple regression equation cannot always be interpreted in the same way. Its interpretation depends on the context and variables involved in the regression analysis.

In a simple regression equation, the intercept represents the estimated value of the dependent variable when the independent variable(s) take a value of zero. However, the interpretation of the intercept can vary depending on the nature of the variables.

If both the dependent and independent variables are meaningful at or near zero, the intercept can have a direct interpretation. For example, in a regression model predicting house prices based on square footage, the intercept can be interpreted as the estimated price when the house has zero square footage, which is likely not meaningful in practice.

However, in many cases, the interpretation of the intercept may not hold practical significance. It could be due to variables that do not have a meaningful zero point or when the intercept represents a theoretical value that falls outside the range of the observed data. In such cases, the focus is often on the slope coefficient(s) of the independent variable(s) to determine the relationship and impact on the dependent variable.

Therefore, while the intercept in a simple regression equation provides valuable information, its interpretation is context-dependent, and caution should be exercised in generalizing its meaning across different scenarios.

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The missing information for the SAS congruence theorem is given as follows:

B. SU = JL.

The Side-Angle-Side (SAS) congruence theorem states that if two sides of two similar triangles form a proportional relationship, and the angle measure between these two triangles is the same, then the two triangles are congruent.

The congruent angles for this problem are given as follows:

<S and <J.

Hence the proportional side lengths are given as follows:

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Answer

C you cannot divide matricies like that

Step-by-step explanation:

you can only multiply by the inverse in which the order matters. if there is a 4th possible answer then that may be more correct

Using the mean concept, it is found that a range of scores between 17 and 53 will give Lisa a C for the semester.

In this problem, we have that:

Hence, the mean is:

\(M = \frac{90 + 82 + 91 + x}{4} = \frac{263 + x}{4}\)

For a grade between 70 and 79, we have that:

\(70 \leq M \leq 79\)

Then:

\(M \geq 70\)

\(\frac{263 + x}{4} \geq 70\)

\(263 + x \geq 280\)

\(x \geq 17\)

\(M \leq 79\)

\(\frac{263 + x}{4} \leq 79\)

\(263 + x \leq 316\)

\(x \leq 53\)

A range of scores between 17 and 53 will give Lisa a C for the semester.

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Scenario 1A:

Coinsurance amount is $90

Medicare payment is $360

Provider write-off is $290

Scenario 1B:

Remaining amount for Insurance and patient to pay is $350

Coinsurance amount is $70

Total paid by patient is $170

Medicare payment is $280

Provider write-off is $370

Scenario 1A:

Submitted charge: $650

Medicare participating physician fee schedule (PFS): $450

Coinsurance amount (20% paid by patient): $

Medicare payment (80% of the PFS): $

Provider write-off: $

To calculate the missing amounts, we can use the provided information:

Coinsurance amount (20% paid by patient):

Coinsurance amount = 20% of the Medicare participating physician fee schedule (PFS)

Coinsurance amount = 0.2 * $450 = $90

Medicare payment (80% of the PFS):

Medicare payment = 80% of the Medicare participating physician fee schedule (PFS)

Medicare payment = 0.8 * $450 = $360

Provider write-off:

Provider write-off = Submitted charge - Medicare payment

Provider write-off = $650 - $360 = $290

Scenario 1B:

Submitted charge: $650

Medicare participating physician fee schedule (PFS): $450

Patient pays $100 remaining on their deductible

Remaining amount for Insurance and patient to pay: $

Coinsurance amount (20% of remaining amount): $

Total paid by patient (deductible & 20% of remaining): $

Medicare payment (80% of the remaining amount): $

Provider write-off: $

To calculate the missing amounts, we can use the provided information:

Remaining amount for Insurance and patient to pay:

Remaining amount for Insurance and patient to pay = PFS - remaining deductible

Remaining amount for Insurance and patient to pay = $450 - $100 = $350

Coinsurance amount (20% of remaining amount):

Coinsurance amount = 20% of the remaining amount

Coinsurance amount = 0.2 * $350 = $70

Total paid by patient (deductible & 20% of remaining):

Total paid by patient = remaining deductible + coinsurance amount

Total paid by patient = $100 + $70 = $170

Medicare payment (80% of the remaining amount):

Medicare payment = 80% of the remaining amount

Medicare payment = 0.8 * $350 = $280

Provider write-off:

Provider write-off = Submitted charge - Medicare payment

Provider write-off = $650 - $280 = $370

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Answer:

He likes 400,100,2500..... or 3000

Step-by-step explanation:

The numbers liked by john are 400,300, and 2500.

A numeral system is a writing system for expressing numbers; that is, a mathematical notation for representing numbers of a particular set in a consistent manner using digits or other symbols. In different numeral systems, the same sequence of symbols might represent different numbers.

Given that john likes 400 but not 300; he likes 100 but not 99; he likes 2500 but not 2400.

The numbers liked by john are,

400

100

2500

The numbers not liked by john are 300,99 and 2400.

Therefore, the numbers liked by john are 400,300, and 2500.

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Answer:

9

Step-by-step explanation:

\(-2^{2}\)+5

-2x-2=+4

4+5=9

Mark as brainliest if it was correct!

Answer:

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Answer:

10

Step-by-step explanation:

Firstly, AM=x+8

or, A=x+8-M......eqn (i)

MB=6x-2

or, B=6x-2-M......eqn (ii)

Now,

from eqn (i) and (ii)

x+8-M=6x-2-M

or, 8+2=6x-x-M+M

or, 10=5x

or, 10÷5=x

therefore, x=2

Again,

MB=6x-2

=6×2-2

=12-2

=10

is it correct

please mark me as BRAINLIEST

In the competition model where and are the populations of the competing species, moose and deer, respectively, the coefficient d represents option C  the decrease in the moose population due to interactions with the deer .

In the competition model where  \(N_1\)and \(N_2\) are the populations of the competing species, moose and deer, respectively, the coefficient "d" represents the decrease in the moose population due to interactions with the deer. The competition model is a type of ecological model used to examine the effects of interspecific competition on population dynamics.

This model is widely applied to the interactions between two species that occupy similar niches and compete for limited resources. According to this model, two species are assumed to compete for a shared resource, such as food, water, or territory.

The growth rate of the two species is thus affected by their interactions with each other. The competition model is based on two coupled differential equations:

\(dN_1/dt = r_1N_1(1 - (N_1 + aN_2)/K_1)\) and \(dN_2/dt = r_2N_2(1 - (N_2 + bN_1)/K_2)\)

where \(N_1\)and \(N_2\) are the population sizes of the two species, \(r_1 and r_2\) are their intrinsic growth rates, \(K_1\) and\(K_2\) are the carrying capacities of their habitats, and a and b are the competition coefficients that represent the effects of one species on the other.

The coefficient d represents the decrease in the moose population due to interactions with the deer. Hence, the correct answer is option C.

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The interest amount (simple interest ) on the loan amount $5315 at 5% from 10th aug to 23rd dec. of same year is $105.50

If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest, then the interest amount earned is given by:

\(I = \dfrac{P \times R \times T}{100}\)

For this case, we're specified that:

Converting this time in terms of year, we get:

Aug has 31 days, Sept has 30 days, Oct. has 31 days, Nov has 30 days.

From 10th aug, till its last, there went 22 days.

Whole sept and oct and nov. was spent (30+31+30 = 91 days)

And then there were 22 days of december(23rd day not covered assumingly)

So, total days = 22+22+91 = 145 days.

Assuming averagely 365.25 days in an year, we get the average time for which the interest will be calculated as:

\(\dfrac{145}{365.25} \approx 0.397 \: \rm years\)

Thus, we get: the amount of interest as:

\(I = \dfrac{P \times R \times T}{100}\\\\I \approx \dfrac{5315 \times 5\times 0.397}{100} \approx 105.50 \: \rm dollars\)

Thus, the interest amount (simple interest ) on the loan amount $5315 at 5% from 10th aug to 23rd dec. of same year is $105.50

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Answer:

B. cos 41° = \(\frac{x}{19}\)

Step-by-step explanation:

cos of an angle is the adjacent side of the angle over the hypotenuse.

Answer:

Answer is a

\({ \boxed{ \bf{ \cos( \theta) = \frac{adjacent}{hypotenuse} }}} \\ { \tt{ \cos(41 \degree) = \frac{x}{19} }} \\ \\ { \boxed{ \bf{ \sin( \theta) = \frac{opposite}{hypotenuse} }}} \\ { \tt{ \sin(41 \degree) = \frac{ - }{19} }}\)