a Treoday Exercise det f be continnons function. Show there existe a searance of step function (4n) (46 on [a,b] that Uniformly to f a Converses

Answer:

D

Step-by-step explanation:

This is a 90 degree angle

90-35=55

X=11

35+5x=90

-35. -35

5x=55

Divide both sides by 5

X=11

In the polynomial ring K[x], where K = Z_5, there are infinitely many polynomials. However, we can list down all the distinct polynomials up to a certain degree. Since K has 5 elements, the polynomials in K[x] will have coefficients from the set {0, 1, 2, 3, 4}.

For degree 0:

0

For degree 1:

0, 1, 2, 3, 4

For degree 2:

0, 1, 2, 3, 4

00, 01, 02, 03, 04, 10, 11, 12, 13, 14, 20, 21, 22, 23, 24, 30, 31, 32, 33, 34, 40, 41, 42, 43, 44

For degree 3:

0, 1, 2, 3, 4

00, 01, 02, 03, 04, 10, 11, 12, 13, 14, 20, 21, 22, 23, 24, 30, 31, 32, 33, 34, 40, 41, 42, 43, 44

000, 001, 002, 003, 004, 010, 011, 012, 013, 014, 020, 021, 022, 023, 024, 030, 031, 032, 033, 034, 040, 041, 042, 043, 044,

100, 101, 102, 103, 104, 110, 111, 112, 113, 114, 120, 121, 122, 123, 124, 130, 131, 132, 133, 134, 140, 141, 142, 143, 144,

200, 201, 202, 203, 204, 210, 211, 212, 213, 214, 220, 221, 222, 223, 224, 230, 231, 232, 233, 234, 240, 241, 242, 243, 244,

300, 301, 302, 303, 304, 310, 311, 312, 313, 314, 320, 321, 322, 323, 324, 330, 331, 332, 333, 334, 340, 341, 342, 343, 344,

400, 401, 402, 403, 404, 410, 411, 412, 413, 414, 420, 421, 422, 423, 424, 430, 431, 432, 433, 434, 440, 441, 442, 443, 444

The patterns continue as we increase the degree of the polynomials. The total number of polynomials in K[x] is infinite, but this is a representation of all distinct polynomials up to a certain degree.

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The first polynomial is-

Remember that the degree of a polynomial is defined by the greatest exponent. So, in this case, the degree is 4.

The standard form refers to the polynomial in the right order.

Therefore, the initial polynomial is not in standard form.

The second polynomial is

The degree of this polynomial is 7.

This polynomial is not in standard form since it's not in the right order.

Answer:

9%

Step-by-step explanation:

9.17% = 9% (to the nearest percent)

Answer:

9%

Step-by-step explanation:

9.17% to the nearest degree which in this case is percent, since .17 is above .50 or is .50 it has to be rounded down, and the nearest percent 9s 9%.

Answer:

4

Step-by-step explanation:

If f(x)= 108-kx, then all you have to do is plug in the given value of x which is -4, then equal it to the given value of 124.

\(108 - kx = 124\\108 - k(-4) = 124\\\\108 + 4k = 124\\\\4k = 124 - 108\\\\k = 16/4\\\\k = 4\)

When PQ intersects SR at x = 36, the value of RTQ is 152.

Let's start by setting the equations of the lines PQ and SR equal to each other:

PQ: 4x + 8

SR: 224 - 2x

Since both lines intersect, we can equate them and solve for x:

4x + 8 = 224 - 2x

To solve this equation, we can combine like terms by adding 2x to both sides and subtracting 8 from both sides:

4x + 2x = 224 - 8

6x = 216

Dividing both sides of the equation by 6, we find:

x = 216 / 6

x = 36

Now that we have the value of x, we can substitute it back into either equation to find the corresponding value of RTQ. Let's use the equation of SR:

SR: 224 - 2x

Substituting x = 36, we have:

SR = 224 - 2(36)

SR = 224 - 72

SR = 152

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3 miles and 15,480 feet are not equivalent because they measure different quantities. which is the correct answer would be an option (D).

Now, Multiply the area by the conversion ratio to convert a foot measurement to a square inch measurement.

Because one foot equals 12  inches, you may use the following easy formula to convert:

1 inches =  feet × 12

The correct answer is D) 3 miles, 15,480 feet

because 1 mile =5280 feet

3 mile =3 × 5280 = 15,840

The other pairs of measurements are all equivalent because they measure the same quantity in different units.

For example, 24 feet and 8 yards are equivalent because 24 feet is equal to 8 yards (1 yard =3 feet ; 8 yard= 8 × 3 = 24 feet).

Similarly, 24 inches and 2 feet are equivalent because 24 inches is equal to 2 feet, and 10 feet and 120 inches are equivalent because 10 feet is equal to 120 inches (1 foot = 12 inches; 10 feet=12 × 10=120).

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Answer:

p/2 - 25 = 150

Step-by-step explanation:

I'll try my best.

$150 would be the initial value, so we would use that for the base.

$25 less means subtract 25 dollars in this context.

2 times means multiply by 2.

"$150 was $25 less than 2 times the amount he paid for it (\(p\))."

\(\frac{p}{2} -25 = 150\)

If you were to solve this:

\(\frac{p}{2} -25 = 150\)

\(\frac{p}{2} =175\)

\(p=350\)

The answer I get from the equation would be $350.

If you input 350 into it:

\(\frac{(350)}{2} -25\)

\(175 -25\)

\(150\)

Answer:

P = 150 ÷ 2 - 25 = p

Step-by-step explanation:

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you know two points that a line passes through, this page will show you how to find the equation of the line.

Given: Harry bought a broken motor scooter, fixed it, and sold the scooter for $150. $25 less than 2 times the amount he paid for it.

To find: Which equation can be used to find, p, the amount of money Harry originally paid for the scooter?

Solution: It says; "That was $25 less than 2 times the amount he paid for it"

With that said, find the amount that is 2 times more than 150. To find that, the opposite of times is division, so divide 150 by 2

\(150\) ÷ \(2 =\) \(75\)

Now that has been found, the next thing to find is $25 less, less means subtract. To calculate the amount Harry originally paid for the scooter, subtract 25 from 75

\(75 - 25 = 50\)

Therefore, the amount of money Harry originally paid for the scooter is $50

Hence, the equation can now be found as; P = 150 ÷ 2 - 25 = p

Answer:

5. Yes, they do form a parallelogram. when you plot the points, a shape forms that has opposite sides that are parallel.

6. The slope of the line is 1/3.

Step-by-step explanation:

5. Plot the points, then connect them. The lines form a parallelogram. \

6. Rise/run. (rise over run) you rise 1 and run 3. (1 over 3)

hope this helps :)

have a good day

The description provided suggests the formation of star dunes in desert environments. Star dunes are the largest type of dunes, reaching heights of over 650 ft.

Star dunes are a type of sand dune characterized by multiple radiating arms that extend in different directions from a central point. They are often found in desert regions where the wind patterns are highly variable, blowing from different directions. The wind's variability causes the sand to accumulate and form the distinct star shape of the dune.

Due to the shifting wind patterns, the arms of the star dune can change in length and direction over time. The sand supply available for the dune formation can also vary, range from limited to abundant. These factors contribute to the growth and size of star dunes, making them the largest dunes found in deserts.

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Answer:

(B) ∠DFE ≅ ∠ DFG

Step-by-step explanation:

triangle is congruent by sas

1. gf = ef ( shown in figure) side

2. df = fd ( common) side

3rd is additional information

we got both the side and sas congruency must have two sides and one angle . and that anngle must be in between the two sides so

3. ∠DFE ≅ ∠ DFG

Explanation:

SAS = side angle side

The tickmarks show that EF = FG which forms one "S" of "SAS".

The other "S" is the fact that FD = FD due to the reflexive property.

The missing info we need is ∠DFE ≅ ∠ DFG, both of those angles are between the sides mentioned. The order is important.

The value of side length w is 13.75 .

Given right angled triangle,

Perpendicular = w

Hypotenuse = 17

Angle of triangle = 54°

So,

According to the trigonometric ratios,

tanФ = p/b

cosФ = b/h

sinФ = p/h

By using sinФ,

sinФ = p/h

sin 54° =  w/ 17

0.809 = w/17

w = 13.75 .

Thus after correction w will be 13.75

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Answer:

X=1

Step-by-step explanation:

Snorkel, mask, and flippers Slope: 2 (so in the equation, it would look like 2x).

Snorkel, mask, and flippers Y-intercept: 10 (12 - 2 = 10, which is 0 hours, possibly the initial amount)

Snorkel, mask, and flippers Slope intercept form: y = 2x + 10

The elk population in 2014 will be 19,700 ,A population is an identified grouping of objects with the purpose of analysis and data collection.

A population is an identified grouping of objects with the purpose of analysis and data collection. Examples include people and animals. It comprises of a related collection of species that live in a specific area and have the ability to interbreed.

The population increased by 12,700-12,000 = 700 between the two measures, however, it did so over a period of 1 year, from 2004 to 2003. Divide 700 elk by 1

The elk population in 2014 will be 19,700We must first establish the method

2014=700 should add 10 times then we will get the 2014th year population.

so the population of 2014th will 19700

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Answer:

x^5

Step-by-step explanation

If this is dividing exponents, you just subtract the denominator from the numerator.

Answer: Hence the answer is 27 square feet.

Please look at the images for more details.

Answer:

27 square feet

Step-by-step explanation:

Define the variables:

To increase a number by a certain percent, divide the percent by 100, add it to 1, then multiply the original number by this number.

If the length of the new flag is 20% greater than the length of the old flag:

\(\implies \textsf{Length}=\left(1+\dfrac{20}{100}\right) \timesl \times l=1.2l\)

To decrease a number by a certain percent, divide the percent by 100, subtract it from 1, then multiply the original number by this number.

If the width of the new flag is 10% less than the width of the old flag:

\(\implies \textsf{Width}=\left(1-\dfrac{10}{100}\right) \times w =0.9w\)

\(\boxed{\textsf{Area of a rectangle}=\sf width \times length}\)

Therefore, given the area of the old flag is 25 ft²:

\(\implies wl=25\)

To find the area of the new flag, substitute the expressions for width, length and wl into the formula for area of a rectangle:

\(\begin{aligned}\textsf{Area of new flag}&=\sf width \times length\\&=0.9w \times 1.2l\\&=0.9 \times 1.2 \times wl\\&=1.08 \times 25\\&=27\sf \;\; ft^2\end{aligned}\)

Therefore, the area of the new flag is 27 square feet.

ANSWER

True

EXPLANATION

We have that:

f(6) = 60

That means whatever f(x) is, when we put the value of x to be 6, we will get f(x) = 60.

So, to see if f(x) = 14x - 24 is a possible function, we will replace x with 6 and find out if we get 60:

f(6) = 14(6) - 24

f(6) = 84 - 24

f(6) = 60

As we can see, we got that f(6) = 60, so, it is true that it is a possible function.

Answer:

i) The probability of getting 50 cent coin is 5/18, or approximately 28%

ii) To scale the numbers up to let us have 65 fifty cent coins, there would be a total of 234 coins

Step-by-step explanation:

We are told the probability of choosing ten and 20 cent coins, and from that we can work out the probability for the 50 cent coin.  All we need to do is add up the other two probabilities and subtract them from 1.

\(p = 1 - (\frac{1}{3} + \frac{7}{18})\\p = 1 - (\frac{6}{18} + \frac{7}{18})\\p = 1 - \frac{13}{18}\\p = \frac{5}{18}\\\)

So the chance of getting a 50 cent coin is five eighteenths, or approximately 28%

For the second question We are asked to find the total number of coins if there are 65 fifty cent coins. (I can't see the text below that, but presumably it's saying that the ratios will stay the same).

We can solve this by comparing the two ratios, with x as the total, and solving for x:

\(\frac{5}{18} = \frac{65}{x}\\5x = 65 * 18\\x = 13 * 18\\x = 234\)

So to keep the same ratios and have 65 fifty cent coins, we would need a total of 234 coins.

Answer:

D) \(26.6 \leq 6.2n\)

Step-by-step explanation:

multiply 6.2 by 4.3

Answer:

D)26.66<6.2n

Step-by-step explanation:

The geometric power series for the function f(x) = 1 / (9 + x), centered at 0, using long division is (9 - x) / ((9 + x) * (9 - x)).

To find a geometric power series for the function f(x) = 1 / (9 + x) using long division, we can start by expanding the function into a fraction:

f(x) = 1 / (9 + x)

To begin the long division process, we divide 1 by 9 + x:

1 ÷ (9 + x)

To simplify the division, we can multiply the numerator and denominator by the conjugate of the denominator:

1 * (9 - x) / ((9 + x) * (9 - x))

Simplifying further:

(9 - x) / (81 - x^2)

Now, we have expressed the function f(x) as a fraction with a simplified denominator. To find the geometric power series, we can rewrite the denominator using the concept of a geometric series:

(9 - x) / (81 - x^2) = (9 - x) / (9^2 - x^2)

We can see that the denominator is now in the form a^2 - b^2, which can be factored as (a + b)(a - b). In this case, a = 9 and b = x:

(9 - x) / (9^2 - x^2) = (9 - x) / ((9 + x)(9 - x))

Now, we can express the function f(x) as a geometric power series:

f(x) = (9 - x) / ((9 + x)(9 - x))

f(x) = 1 / (9 + x) = (9 - x) / ((9 + x)(9 - x))

f(x) = (9 - x) / (9^2 - x^2) = (9 - x) / ((9 + x)(9 - x))

f(x) = (9 - x) / ((9 + x) * (9 - x))

f(x) = 1 / (9 + x) = (9 - x) / ((9 + x) * (9 - x))

The geometric power series for the function f(x) centered at 0 is given by (9 - x) / ((9 + x) * (9 - x)).

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Answer:

D

Step-by-step explanation:

The fruit punch has 2.4 gallons but x %

Apple juice has 5.6 gallons but 100 % or 1

The total mixture would then have 8 gallons and 82 %.

2.4+5.6=8

8×0.82 = 6.56

Then you would do 2.4x + 5.6(1) = 6.56

2.4x + 5.6 = 6.56

2.4x = 0.96

0.96/2.4 = 0.4 = 40%

Therefore, Brand A has 40% fruit juice

Answer:

5 hamburgers and 3 hot dogs

Step-by-step explanation:

D = number of hot dogs

H = number of hamburgers

D + H = 8    then  D = 8 - H

1.50D + 1.75H = 13.25

substitute for D

1.50(8-H) + 1.75H = 13.25

12-1.50H + 1.75H = 13.25

subtract 12 from each side

-1.50H + 1.75H = 1.25

0.25H = 1.25

divide both sides by 0.25

H = 5

D = 8-5

D = 3

Answer:

Parallelogram

Step-by-step explanation:

This is to easy, and im 10th grader

Answer:

paralellogram

hope this helps :)

Answer: 3/52

Step-by-step explanation:

You want to pick a diamond jack, diamond queen or diamond king

There are only 3 of those so

P(DJ or DQ or DK) = 3/52        There are 3 of those out of 52 total

The probability of Y being less than or equal to 1 in the sample of 5 bottled water brands is approximately 0.5344.

a) The probability distribution for Y, the number of bottled water brands that use tap water out of a sample of 5 brands, can be represented by a probability mass function (PMF). Let's denote Y as the random variable.

Y follows a binomial distribution with parameters n = 5 (sample size) and p = 0.25 (probability of a brand using tap water). The PMF formula for the binomial distribution is given by:

P(Y = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where C(n, k) is the binomial coefficient, which represents the number of ways to choose k successes out of n trials. It can be calculated as:

C(n, k) = n! / (k! * (n - k)!)

b) To find P(Y = 2), we substitute k = 2 into the PMF formula:

P(Y = 2) = C(5, 2) * (0.25)^2 * (1 - 0.25)^(5 - 2)

Calculating the values:

C(5, 2) = 5! / (2! * (5 - 2)!) = 10

(0.25)^2 = 0.0625

(1 - 0.25)^(5 - 2) = 0.421875

Substituting into the formula:

P(Y = 2) = 10 * 0.0625 * 0.421875

Calculating the result:

P(Y = 2) ≈ 0.2656

Therefore, the probability of exactly 2 out of 5 bottled water brands using tap water is approximately 0.2656.

c) To find P(Y ≤ 1), we need to calculate the probability of Y taking on the values 0 and 1 and sum them up:

P(Y ≤ 1) = P(Y = 0) + P(Y = 1)

Substituting the values into the PMF formula:

P(Y ≤ 1) = C(5, 0) * (0.25)^0 * (1 - 0.25)^(5 - 0) + C(5, 1) * (0.25)^1 * (1 - 0.25)^(5 - 1)

Calculating the values:

C(5, 0) = 1

(0.25)^0 = 1

(1 - 0.25)^(5 - 0) = 0.2373

C(5, 1) = 5

(0.25)^1 = 0.25

(1 - 0.25)^(5 - 1) = 0.3164

Substituting into the formula:

P(Y ≤ 1) = 1 * 1 * 0.2373 + 5 * 0.25 * 0.3164

Calculating the result:

P(Y ≤ 1) ≈ 0.5344

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If she plays in a game in which she shoots 7 free throws, the probability that she will make all 7 = 0.0188

For given question,

a basketball player makes approximately 69% of free throws.

So, the probability of success (p) = 0.69

the probability of failure (q) = 0.31

She plays in a game in which she shoots 7 free throws.

So, n = 7

We need to find the probability that she will make all 7.

Using Binomial probability Distribution,

For x = 7,

\(P(x = 7) =~ ^7C_7\times (0.67)^7\times (0.31)^{7-7}\\\\P(x=7)= 1\times 0.0606\times 0.31\\\\P(x=7)=0.0188\)

Therefore,  if she plays in a game in which she shoots 7 free throws, the probability that she will make all 7 = 0.0188

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Answer:

1 cup of flower makes 1/2 a batch of cookies

Step-by-step explanation:

2 divided by 2 is 1

1 divided by 2 is 1/2

When the radius is 9 cm, the area of the circular pool is increasing at a rate of 288π cm square/min.

To find how fast the area of the circular pool is increasing when the radius is 9 cm, we can use the formula for the area of a circle, which is A = πr^2, where A represents the area and r represents the radius.

Given that the radius is increasing at a rate of 4 cm/min, we can differentiate the formula for the area with respect to time (t) using the chain rule:

dA/dt = dA/dr * dr/dt

Here, dA/dt represents the rate of change of the area with respect to time, dr/dt represents the rate of change of the radius with respect to time, and dA/dr represents the derivative of the area with respect to the radius.

To find dA/dr, we can differentiate the formula for the area of a circle:

dA/dr = d/dt (πr^2)

= 2πr * dr/dt

Plugging in the given values, we have:

dr/dt = 4 cm/min

r = 9 cm

Substituting these values into the equation for dA/dr:

dA/dr = 2π(9) * 4

= 72π cm^2/min

Now, we can find dA/dt by multiplying dA/dr by dr/dt:

dA/dt = (72π cm^2/min) * (4 cm/min)

= 288π cm^2/min

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Answer:

The percent of 11 to 50 is 22%

The percent of 72 to 80 is 90%

Step-by-step explanation:

Find an equivalent fraction with denominator 100

Then multiply:

72 × 100

Divided by the original number which was 80

Then multiply that by 1/100 which equals 90/100

So 90%