True or False: (0,-3),(1,-2),(2,1),(3,6),(4,13) quadratic function?

Answer: Progress

Step-by-step explanation:

In addition to specificity, the training principle that is included in the sport training strategy is progress.

Specificity has to do with individuals being specific in their training. One's training should tally with ones sport. For example, if one wants to have a 100 meters race, the person should not be training with those that wants to run a 3000 meters race.

Progress is about the gradual and consistent increment that one makes. Progress isn't about doing a starting a particular thing in a day and burning oneself out in order to finish it that day; but it's about the little increment that occurs let's say maybe gradual progression of about 5-10 percent. During training, a good sport man should be specific and make progress.

Answer:

PROGRESS

Step-by-step explanation:

Answer:

36.2%

Step-by-step explanation:

34 miles a day times 100 divided by 94

34×100 = 36.2

94

Answer:

Option (1)

Step-by-step explanation:

Fundamental theorem of Algebra states degree of the polynomial defines the number of roots of the polynomial.

8 roots means degree of the polynomial = 8

Option (1)

f(x) = (3x² - 4x - 5)(2x⁶- 5)

When we multiply (3x²) and (2x⁶),

(3x²)(2x⁶) = 6x⁸

Therefore, degree of the polynomial = 8

And number of roots = 8

Option (2)

f(x) = (3x⁴ + 2x)⁴

By solving the expression,

Leading term of the polynomial = (3x⁴)⁴

                                                     = 81x¹⁶

Therefore, degree of the polynomial = 16

And number of roots = 16

Option (3)

f(x) = (4x² - 7)³

Leading term of the polynomial = (4x²)³

                                                    = 64x⁶

Degree of the polynomial = 6

Number of roots = 6

Option (4)

f(x) = (6x⁸ - 4x⁵ - 1)(3x² - 4)

By simplifying the expression,

Leading term of the polynomial = (6x⁸)(3x²)

                                                     = 18x¹⁰

Degree of the polynomial = 10

Therefore, number of roots = 10

Answer:

Let A bc the first number

Let B be the second number

Let C be the third number

A= b+6

C= 3a

Step-by-step explanation:

Hope this helps :) Have a great day!!!!

The parameters of velvet is length = 7.3 , breadth = 3.65 , h = 14.62.

Define area of rectangle.

Given that,

Area of velvet = 240

2 [2w x w + w x h + h x 2w] + w x 2w = 240

Total surface area + area of top = 240

4\(w^{2}\) + h (2w + w) + 2\(w^{2}\) = 240

h = \(\frac{240 - 6 w^{2} }{2w + w}\)

h = \(\frac{80 - 2w^{2} }{w}\)

v = w x 2w x h

v(w) = 2\(w^{2}\) \((\frac{80 - 2 w^{2} }{w} )\)

v(w) = 160 w - 4 \(w^{3}\)

v'(w) = 160 - 12 \(w^{2}\)

v''(w) = -24 w

For Critical point v'(w) = 0

                  160 - 12 \(w^{2}\) = 0

                                \(w^{2}\) = 160/12

                                 w = \(\sqrt{\frac{40}{3} }\)

At   w = \(\sqrt{\frac{40}{3} }\) , v''(w) = -24 ( \(\sqrt{\frac{40}{3} }\)) < 0 is v maximum

Therefore, length =2 \(\sqrt{\frac{40}{3} }\)

                             = 2 x 3.65

                             = 7.3

Breadth (w) = 3.65, h = 14.62.

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Answer:

1.2.3.4.5.6.7.8.9.0.2.3.4.5.6.7.8.9.0

Step-by-step explanation:

ANSWER

EXPLANATION

The ratio of the area of the triangle to the area of the circle is:

Let the area of the triangle be T.

1/5 of the area of the triangle is shaded i.e. 1/5 T

The total area of the figure is the sum of the area of the triangle that is not shaded and the area of the circle.

The area of the triangle that is not shaded is:

Let the area of the circle be C. The ratio of the area of the triangle to that of the circle is 5/6. This implies that:

And so, the area of the figure is in terms of T is:

Therefore, the ratio of the shaded area to the area of the figure is:

That is the answer.

Answer:

a

Step-by-step explanation:

The value of the definite integral \(\int\limits^{10}_5 {g(x)} \, dx = 18\)

The question has to do with definite integrals

Definite integrals are integrals obtained within a range of values (or limits) of the independent variable.

Given that

For any integral  \(\int\limits^a_c {g(x)} \, dx = \int\limits^a_b {g(x)} \, dx + \int\limits^b_c {g(x)} \, dx\)

So,  \(\int\limits^{10}_3 {g(x)} \, dx = \int\limits^5_3 {g(x)} \, dx + \int\limits^{10}_5 {g(x)} \, dx\)

So,   \(\int\limits^{10}_5 {g(x)} \, dx = \int\limits^{10}_3 {g(x)} \, dx - \int\limits^5_3 {g(x)} \, dx\)

Since

Substituting the values of the variables into the equation, we have

\(\int\limits^{10}_5 {g(x)} \, dx = \int\limits^{10}_3 {g(x)} \, dx - \int\limits^5_3 {g(x)} \, dx\)

\(\int\limits^{10}_5 {g(x)} \, dx = 36 - 18 \\\int\limits^{10}_5 {g(x)} \, dx = 18\)

So, the value of the definite integral \(\int\limits^{10}_5 {g(x)} \, dx = 18\)

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Answer:

volume of a cylindrical water tank = 70,650cm³

Step-by-step explanation:

volume of cylinder, V = πr²h

where π = 3.14

h = 100cm

r = ?

given is diameter = 30cm

r = d/2 = 30/2 = 15cm

substituting the values in the formula,

V = 3.14 * 15² * 100

= 3.14 * 225 * 100

= 70,650cm³                        

Answer:

How much space it would take up: 706.86 square centimeters of floor space and extend vertically to a height of 100 cm

Volume: 706,500 cm³

Step-by-step explanation:

How much space it would take up:

To determine the space occupied by a cylindrical water tank in a room, we need to consider its dimensions and the area it covers on the floor.

The diameter of the tank is given as 30 cm, which means the radius is half of that, 15 cm.

To calculate the space it occupies on the floor, we need to find the area of the circular base. The formula for the area of a circle is A = πr², where A is the area and r is the radius.

A = π(15 cm)²

A = π(225 cm²)

A ≈ 706.86 cm²

So, the circular base of the tank occupies approximately 706.86 square centimeters of floor space.

The height of the tank is given as 100 cm, which represents the vertical space it occupies in the room.

Therefore, the cylindrical water tank would take up 706.86 square centimeters of floor space and extend vertically to a height of 100 cm in the room.

Volume:

To calculate the volume of a cylindrical water tank, we can use the formula V = πr²h, where V is the volume, r is the radius, and h is the height.

First, we need to find the radius by dividing the diameter by 2:

Radius = 30 cm / 2 = 15 cm

Now we can calculate the volume:

V = π(15 cm)²(100 cm)

V = 3.14 * 225 cm² * 100 cm

V = 706,500 cm³

Therefore, the cylindrical water tank will occupy a volume of 706,500 cm³ or 706.5 liters.

Answer:15

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Equation of the volume for cube is L x W x H, so the answer is V= 3 x 5 x 4.

Answer:

Hence The probability that she is taking a night​ class given that Jane has a​ part-time teacher = P(jane has a part-time teacher and she is taking night class )/P(jane has a part-time teacher)    = 0.6999.

Step-by-step explanation:  

Probability(full-time teacher/ day ) = 0.85  

Probability(part-time teacher/ day ) = 1- 0.85 = 0.15  

Probability(full-time teacher/ night) = 0.30  

Probability(part-time teacher/ night) = 1 - 0.30 = 0.70  

total no of section = 4+2 = 6  

P(jane has part time teacher) = P(jane is from day section)*Probability(part-time teacher/ day )+P(jane is from night section)*Probability(part-time teacher/ night)  

= (4/6)(0.15)+(2/6)(0.70) = 0.33  

P(jane has part time teacher and she is taking night class ) = P(jane is from night section)*Probability(part-time teacher/ night) = (2/6)(0.70) = 0.23  

According to Bayes theorem :    

The probability that she is taking a night​ class given that Jane has a​ part-time teacher = P(jane has a part-time teacher and she is taking night class )/P(jane has a part-time teacher)  

= 0.23/0.33  

= 0.6999

The median of the distances is M = 6.5 kilometers

Given data ,

To find the median of a set of numbers, we arrange the numbers in ascending order and then locate the middle value. If there is an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers.

Arranging the given set of numbers in ascending order: {4, 5, 8, 11}

Since the set has an even number of values, the median is the average of the two middle numbers. In this case, the two middle numbers are 5 and 8. To find the average, we add these two numbers and divide by 2:

(5 + 8) / 2 = 13 / 2 = 6.5

Hence , the median of the given set {4, 5, 8, 11} is 6.5

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Answer:

1. 51°

2. 40°

3. 65°

4. 60°

Step-by-step explanation:

The sum of the angles in a triangle is 180°. We can use the angles given to find the missing angle.

1. 51°

42+87+x=180

129+x=180

x=51

-------------------------------------------------------------------------------

2. 40°

110+30+x=180

140+x=180

x=40

-------------------------------------------------------------------------------

3. 65°

20+95+x=180

115+x=180

x=65

-------------------------------------------------------------------------------

4. 60°

60+60+x=180

120+x=180

x=60

Answer:

6.708.

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

To show that the expression \(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\) is equal to \(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\), we can simplify both sides of the equation using the properties of logarithms. Here are the steps:

Step 1: Simplify the expression on the left side:

\(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\)

Step 2: Apply the logarithmic property \(\ln(a) - \ln(b) = \ln\left(\frac{a}{b}\right)\) to combine the logarithms:

\(\ln\left(\frac{\sqrt{2} + 1}{\frac{1}{\sqrt{2}}}\right)\)

Step 3: Simplify the expression within the logarithm:

\(\ln\left(\frac{(\sqrt{2} + 1)}{\left(\frac{1}{\sqrt{2}}\right)}\right)\)

Step 4: Simplify the denominator by multiplying by the reciprocal:

\(\ln\left(\frac{(\sqrt{2} + 1)}{\left(\frac{1}{\sqrt{2}}\right)} \cdot \sqrt{2}\right)\)

\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{\left(\frac{1}{\sqrt{2}}\right) \cdot \sqrt{2}}\right)\)

\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{1}\right)\)

Step 5: Simplify the numerator:

\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{1}\right)\)

\(\ln\left(\sqrt{2}(\sqrt{2} + 1)\right)\)

\(\ln\left(2 + \sqrt{2}\right)\)

Now, let's simplify the right side of the equation:

Step 1: Simplify the expression on the right side:

\(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\)

Step 2: Simplify the expression within the logarithm:

\(-\ln\left(\frac{\sqrt{2} - 1}{\sqrt{2}}\right)\)

Step 3: Apply the logarithmic property \(\ln\left(\frac{a}{b}\right) = -\ln\left(\frac{b}{a}\right)\) to switch the numerator and denominator:

\(-\ln\left(\frac{\sqrt{2}}{\sqrt{2} - 1}\right)\)

Step 4: Simplify the expression:

\(-\ln\left(\frac{\sqrt{2}}{\sqrt{2} - 1}\right)\)

\(-\ln\left(\frac{\sqrt{2}(\sqrt{2} + 1)}{1}\right)\)

\(-\ln\left(2 + \sqrt{2}\right)\)

As we can see, the expression \(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\) simplifies to \(\ln(2 + \sqrt{2})\), which is equal to \(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\).

Answer:

Step-by-step explanation:

23/40 = 0.575

Answer:

i like bananas

Step-by-step explanation:

Answer:

3=0.96  12= 3.84

Step-by-step explanation:  5/1.6= 0.32

0.32 times 3 =0.6 and 0.32 times 12= 3.84

The answer is circular plate. Since it is a circle, it will display symmetry even when rotated.

Answer:

17

Step-by-step explanation:

1) Convert 6 4/5 to improper fraction. Use this rule: a b/c = ac + b/c.

- 6 * 5 + 4 / 5 ÷ -2/5

2) Simplify 6 * 5 to 30.

-30 + 4 / 5 ÷ -2/5

3) Simplify 30 + 4 to 34.

-34/5 ÷ -2/5

4) Use this rule: a ÷ b/c = a × c/b

-34/5 * 5/-2

5) Cancel 5.

-34 * 1/-2

6) Simplify 34 * 1/-2 to 34/-2.

-34/-2

7) Move the negative sign to the left.

-(-34/2)

8) Simplify 34/2 to 17.

-(-17)

9) Remove parentheses.

17

The amount of money in Marianna's annuity after 6 years will be approximately $300,516.

To calculate the amount of money in Marianna's annuity after 6 years, we can use the formula for compound interest on an annuity:

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

Where:

A = the final amount in the annuity

P = the regular contribution (each quarter) = $10,000

r = annual interest rate = 8% = 0.08

n = number of compounding periods per year = 4 (since it's compounded quarterly)

t = number of years = 6

Plugging in the values:

A = 10000 * ((1 + 0.08/4)^(4*6) - 1) / (0.08/4)

Calculating this expression:

A ≈ 10000 * ((1.02)^24 - 1) / 0.02

A ≈ 10000 * (1.601032449136241 - 1) / 0.02

A ≈ 10000 * 0.601032449136241 / 0.02

A ≈ 10000 * 30.05162245681205

A ≈ 300,516.22

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Answer:

304200

Step-by-step explanation:

To find the value of P6, use the savings annuity formula

PN=d((1+r/k)N k−1)r/k.

From the question, we know that r=0.08, d=$10,000, k=4 compounding periods per year, and N=6 years. Substitute these values into the formula gives

P6=$10,000 ((1+0.08/4)6⋅4−1)/(0.08/4).

Simplifying further gives P6=$10,000 ((1.02)24−1)/(0.02) and thus P6=$304,218.62.

Rounding as requested, our answer is 304200.

Step-by-step explanation:

49,442-46,000=3,442

Answer:

77 = m∠D  =  m∠E

Step-by-step explanation:

In a triangle the sum of the measures of the angles = 180.  So m∠D  + m∠E + m∠F = 180

Let  m∠D = m∠E = x

Then x + x + 26 = 180

2x + 26 = 180

2x = 154

x = 77 = m∠D  =  m∠E

To solve the equation 3/4 (x + 9) = 15, we can follow these steps:

Simplify the expression on the left-hand side by distributing the 3/4:

3/4 (x + 9) = 15

3/4x + 27/4 = 15

Subtract 27/4 from both sides to isolate the variable term:

3/4x + 27/4 - 27/4 = 15 - 27/4

3/4x = 33/4

Multiply both sides by the reciprocal of 3/4, which is 4/3, to solve for x:

(4/3) * 3/4x = (4/3) * 33/4

x = 11

Therefore, the solution to the equation 3/4 (x + 9) = 15 is x = 11.

Answer: m<2= 126 and is supplementary angle

Answer:

64cm³

Step-by-step explanation:

( 4 x 4 x 4) cm x cm x cm