Pls can i get the Answer as as soon as possible

Answer:

y = -3x² + 20

Step-by-step explanation:

y=ax² + bx + c

pass (-1,17): 17 = a*(-1)² + b*(-1) +c = a-b+c ...(1)

pass (1,17): 17 = a*(1)² + b*(1) +c = a+b+c ...(2)

pass (2,8): 8 = a*(2)² + b*(2) +c = 4a+2b+c ...(3)

(2)-(1): 2b = 0          b=0

(3)-(2): 8-17 = 3a + b = 3a

==> -9 = 3a              a=-3

c = 17-a-b = 17 +3 - 0 = 20

equation: y = -3x² + 20

Answer:

Step-by-step explanation:

17, is the answer.

Answer:

a||b the first one. A (-2, 0) B (0, -4) C (4, -6) D (2, -2)

Step-by-step explanation:

If you reflect over the y-axis you will change the y in the coordinate. (x, y) If it is positive you will make it negative and if it is negative you will make it positive.

Answer:

x = 3

AB = 16

Step-by-step explanation:

Given: AM = 8, AB = 5x +1 and M is the midpoint of AB, the AM = MB

AB = 2AM

5x+1 = 2(8)

5x + 1 = 16

x = 16 - 1

5x = 15

x = 15/5

x = 3

Hence the value of x is 3

Since AB = 5x+1

AB = 5(3) + 1

AB = 15 + 1

AB = 16

The number of cans of cat food needed for different numbers of cats may vary based on factors such as the size of the cats, their dietary requirements, and the type of cat food being used.

However, as a general estimate, I can provide you with a rough guideline:

For 1-5 cats: It is typically recommended to provide approximately 1 can of cat food per cat per day. So, for 1-5 cats, the shelter would need around 7 cans per week (1 can x 5 cats x 7 days).

For 6-10 cats: Following the same guideline, the shelter would require around 42 cans per week (1 can x 8 cats x 7 days).

For 11-15 cats: The shelter would need approximately 77 cans per week (1 can x 13 cats x 7 days).

These estimates are based on a daily feeding of canned cat food. The specific dietary needs of the cats and the type of food being used may require adjustments to the quantities. It's always best to consult with a veterinarian or a professional shelter worker to determine the exact requirements for the cats in your care.

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We have the following:

We know that the total is 28, therefore the complete diagram is 28, it is divided into 4 of quantity x, therefore it would be like this

Answer:

The pattern is of ×2

So the missing number will be

1,2,4, 8 ,16,32,64

Answer:

8

Step-by-step explanation:

Just do a sum like 1+1 equals 2, then 2+2 equals 4, 4+4 equals 8, 8+8 equals 16, I hope you understand :)

By using permutations and combinations, We can arrange 12 people into 3 teams of 4 in 5775 different ways.

Here, we will use the concept of permutations and combinations to solve the question.

We have to arrange 12 people into 3 teams of 4.

We know that ⁿCr = n! / [(n - r)! × r!]

No. of ways to select the first 4 people in the first group = ¹²C₄

                                                                                        = 12! / [(12 - 4)! × 4!]

                                                                                            = 12! / [(8! × 4!)]

                                                                                            = 495

No. of ways to select 4 people from the remaining 8 for the second group = ⁸C₄   = 8! / [(8 - 4)! × 4!] = 8! / [(4! × 4!)] = 70

No. of ways to select 4 people from 4 for the third group = ⁴C₄  = 4! / [(4 - 4)!] × 4!] = 4! / [(0! ×4!)] = 1

Total no. of ways to select people for group = (495 x 70 x 1) / 3! = 34650 /6 = 5775

Hence, we can split 12 people into 3 teams of 4 in 5775 different ways.

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The height at time t (in seconds) of a mass, oscillating at the end of a spring, is s(t) = 300 + 16 sin t cm. We have to find the velocity and acceleration at t = π/3 s.

Let's first find the velocity of the mass. The velocity of the mass is given by the derivative of the position of the mass with respect to time.t = π/3 s
s(t) = 300 + 16 sin t cm
Differentiating both sides of the above equation with respect to time
v(t) = s'(t) = 16 cos t cm/s

Now, let's substitute t = π/3 in the above equation,
v(π/3) = 16 cos (π/3) cm/s
v(π/3) = -8√3 cm/s

Now, let's find the acceleration of the mass. The acceleration of the mass is given by the derivative of the velocity of the mass with respect to time.t = π/3 s
v(t) = 16 cos t cm/s
Differentiating both sides of the above equation with respect to time
a(t) = v'(t) = -16 sin t cm/s²
Now, let's substitute t = π/3 in the above equation,
a(π/3) = -16 sin (π/3) cm/s²
a(π/3) = -8 cm/s²
Given, s(t) = 300 + 16 sin t cm, the height of the mass oscillating at the end of a spring. We need to find the velocity and acceleration of the mass at t = π/3 s.
Using the above concept, we can find the velocity and acceleration of the mass. Therefore, the velocity of the mass at t = π/3 s is v(π/3) = -8√3 cm/s, and the acceleration of the mass at t = π/3 s is a(π/3) = -8 cm/s².
At time t = π/3 s, the velocity of the mass is -8√3 cm/s, and the acceleration of the mass is -8 cm/s².

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Answer:

f(x+1)=fx+f

f(x)+f(6)=fx+6f

Step-by-step explanation:

Answer:

The answer is true

Step-by-step explanation:

The amount the PTA at Greenville High School raised this year is $30,023.

The percentages are also called the centesimal ratio, and are usually accompanied by the symbol “%”, which reads “percent”.

The fact that the PTA at Greenville High School raises 30% less funds this year compared to last year means that the amount raised this year is 70% of last year's funds, in essence, 70% multiplied by last year's:

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Answer:

is -5,-3

Step-by-step explanation:

set up the tablet and done

Therefore, the standard deviation for the number of people with the genetic mutation in groups of 500 is approximately 6.726.

To find the standard deviation for the number of people with the genetic mutation in groups of 500, we can use the binomial distribution formula.

Given:

Probability of having the genetic mutation (p) = 0.09

Sample size (n) = 500

The standard deviation (σ) of a binomial distribution is calculated using the formula:

σ = √(n * p * (1 - p))

Substituting the given values:

σ = √(500 * 0.09 * (1 - 0.09))

Calculating the standard deviation:

σ ≈ 6.726 (rounded to three decimal places)

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The angular velocity of link CD when angle BAD = 60° is 21.16 rad/s.

The given values are:

AD = 150 mm

AB = 40 mm

CD = 80 mm

The crank AB rotates at 120 r.p.m. clockwise.

BC and AD are of equal length.

To find:

The angular velocity of link CD when angle BAD = 60°.

From the given data, we have to first find the value of angle BCD.

Angle BCD can be calculated as follows:

AB = 40 mm

BC = AD

= 150 mm

In ΔABC,

By using Cosine rule;

AC² = AB² + BC² - 2 × AB × BC × Cos ∠ABC∴ AC² = (40)² + (150)² - 2 × 40 × 150 × Cos 180°

∴ AC = 160.6 mm

In ΔBCD,

By using Cosine rule;

BD² = BC² + CD² - 2 × BC × CD × Cos ∠BCD

∴ BD² = (150)² + (80)² - 2 × 150 × 80 × Cos ∠BCD

In ΔABD,By using Cosine rule;

BD² = AB² + AD² - 2 × AB × AD × Cos ∠BAD

∴ BD² = (40)² + (150)² - 2 × 40 × 150 × Cos 60°

∴ BD = 184.06 mm

In ΔABD,By using Sine rule;

AB / Sin ∠BAD = BD / Sin ∠ABD

∴ Sin ∠ABD = BD × Sin ∠BAD / AB

∴ ∠ABD = Sin⁻¹ [BD × Sin ∠BAD / AB]

∴ ∠ABD = Sin⁻¹ [184.06 × Sin 60° / 40]

∴ ∠ABD = 87.2°∠ACD = ∠ABD - ∠ACB

∴ ∠ACD = 87.2° - 180°

∴ ∠ACD = - 92.8°∠BCD

= 180° - ∠ACD

∴ ∠BCD = 180° - (- 92.8°)

∴ ∠BCD = 272.8°

As we know that for four-bar mechanism, we have a formula for finding the angular velocity of link CD.

ωCD / Sin ∠BCD = ωAB / Sin ∠BADωCD / Sin 272.8°

= ωAB / Sin 60°

Substituting the values, ωCD / Sin 272.8° = ωAB / Sin 60°ωCD

= ωAB × Sin 272.8° / Sin 60°

But, ωAB = 2 × π × N / 60

= 2 × π × 120 / 60

= 4 × π rad/s

∴ ωCD = 4 × π × Sin 272.8° / Sin 60°ωCD

= 21.16 rad/s

Therefore, the angular velocity of link CD when angle BAD = 60° is 21.16 rad/s.

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The third-degree polynomial equation with roots -4 and 6 + i is P(x) = (x + 4)(x - 6 - i)(x - 6 + i) or expanded form \(P(x) = x^3 - 8x^2 + 13x + 148\).

Let's denote the polynomial equation as \(P(x) = (x - r_1)(x - r_2)(x - r_3)\), where \(r_1 = -4, r_2 = 6 + i,\ and\ r_3 = 6 - i\).

Expanding the equation, we have:

\(P(x) = (x - (-4))(x - (6 + i))(x - (6 - i))\\P(x) = (x + 4)(x - 6 - i)(x - 6 + i)\\P(x) = (x + 4)((x - 6) - i)((x - 6) + i)\\P(x) = (x + 4)((x - 6)^2 - i^2)\\P(x) = (x + 4)((x - 6)^2 + 1)\\P(x) = (x + 4)(x^2 - 12x + 36 + 1)\\P(x) = (x + 4)(x^2 - 12x + 37)\\P(x) = x^3 - 8x^2 + 13x + 148\)

Therefore, the third-degree polynomial equation with the given roots is:

\(P(x) = x^3 - 8x^2 + 13x + 148\)

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The statements (b) and (d) are true concerning the measurements of a circle.

What is a circle?

A circle is a reconstructed by all elements in a plane that lie at a particular separation from the center. It is the curve sketched out by a point moving in a surface so that its radius from a particular point remains constant. The radius describes the distance either between two points on a circle and the center. Ordinarily, the radius must be a greater than 0. A circle, in particular, is a basic closed curve that splits the plane into two regions: inner and exterior. A circle can alternatively be described as a kind of ellipse with two coincident foci, zero eccentricity, and equal semi-major and semi-minor axes.

The statements:

(b) The area of a circle with a diameter of 1 unit is equal to pi square units and

(d) The circumference of a circle with a diameter of 1 unit is equal to pi units are true concerning the measurements of a circle.

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Answer:

Uranus : 15

Saturn : 18

Step-by-step explanation:

Uranus = U

Saturn = S

1) U= S -  3

2) U+ S = 33

1)* U - S = -3

2)* U + S = 33

1)* + 2)*      2U = 30, so U = 15

Then Saturn will have 18 (because they add up to 33)

Answer:

$7.5/hour

Step-by-step explanation:

Sonya is paid time and half for hours worked in excess of 40 hours

She has a gross weekly wages of $345 for 44 hours

Let y represent sonya's hourly rate

Since she is paid one and half then it can be represented as 1.5y

Sonya is suppose to work for a period of 40 hours, this means that she has 4 overtime hours

Therefore Sonya regular hourly rate can be calculated as follows

40y + 4(1.5y) = 345

40y + 6y = 345

46y= 345

y = 345/46

y= 7.5

Hence Sonya's regular hourly rate is $7.5/hour

Answer: 7 hours! you do 74-18 to get 56 then you divide 56 by 8 to get 7.

Step-by-step explanation:

hope this helps!!

Answer: 9x + 17

Step-by-step explanation: Add 4x and 5x and you get 9x. Next take away 15 from 32 and you get 17 therefore the answer wuld be 9x + 17.

9514 1404 393

Answer:

  (a) 6² +3² +1² +1² = 47

  (b) 5² +4² +2² +1² +1² = 47

  (c) 3³ +4² +2² = 47

Step-by-step explanation:

It can work reasonably well to start with the largest square less than the target number, repeating that approach for the remaining differences. When more squares than necessary are asked for, then the first square chosen may need to be the square of a number 1 less than the largest possible.

The approach where a cube is required can work the same way.

(a) floor(√47) = 6; floor(√(47 -6^2)) = 3; floor(√(47 -45)) = 1; floor(√(47-46)) = 1

__

(b) floor(√47 -1) = 5; floor(√(47-25)) = 4; ...

__

(c) floor(∛47) = 3; floor(√(47 -27)) = 4; floor(√(47 -43)) = 2

Step-by-step explanation:

\(11=8+2+1=2^3+2^1+2^0=\bold1\cdot2^3+\bold0\cdot2^2+\bold1\cdot2^1+\bold1\cdot2^0\\\\11_{10}=\bold{1011}_2\)

Marshall is wondering whether he can participate in the LLP again next year. The statement that is true is "He can participate in the LLP again, but only to the extent that his existing LLP balance is less than $20,000.

The Lifelong Learning Plan is a program that helps Canadian residents finance their post-secondary education through their registered retirement savings plans (RRSP). If an individual is attending school full-time, they can withdraw up to $10,000 a year from their RRSP under the program, or up to $20,000 in total. There are certain rules that must be followed by an individual participating in the LLP. For example, withdrawals must be made within four years of enrolling in an eligible educational program, and repayments must begin within the same period.

Here are the statements: Provided he repays his LLP balance in full by the end of this year, Marshall can participate in the LLP again next year.Marshall can only participate in the LLP once over his lifetime. However, his wife can make a LLP withdrawal from her RRSP on his behalf. He can participate in the LLP again, but only to the extent that his existing LLP balance is less than $20,000. He can only participate in the LLP a second time if he repays his LLP balance in full and waits 5 years before he returns to school.The correct statement is: He can participate in the LLP again, but only to the extent that his existing LLP balance is less than $20,000.

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Answer:

B.

Step-by-step explanation:

Answer:

YO THE PICTURE DIFFRENT

Step-by-step explanation:

To find the correct form of the partial fraction decomposition for the expression:   \(\(\frac{9x^2 - 8}{(3x^2 - 4)^2}\)\)

We need to factor the denominator and decompose it into partial fractions. Let's factor the denominator first:

\(\(3x^2 - 4 = (3x - 2)(x + 2)\)\)

Now, we can decompose the expression into partial fractions using the following general form:

\(\(\frac{A}{3x - 2} + \frac{B}{x + 2} + \frac{C}{(3x - 2)^2} + \frac{D}{(x + 2)^2}\)\)

To determine the values of A, B, C, and D, we need to find the common denominator and equate the numerators:

\(\(9x^2 - 8 = A(x + 2)(3x - 2) + B(3x - 2)(x + 2) + C(x + 2) + D(3x - 2)\)\)

Now, we can solve for A, B, C, and D by comparing the coefficients of like terms on both sides of the equation.

However, by following the steps outlined above, you can determine the specific values and complete the partial fraction decomposition.

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In this case, the mean of the data set is 67, the sum of all the data values is 2291, the sum of all the squared data values is 182,361, the sample standard deviation is 8, the population standard deviation is 8.024961059, and the sample size is 29.

The TI-84 Plus display presents sample statistics for a set of data. The "x" symbol represents the mean, or average, of the data set. The "Σx" symbol represents the sum of all the data values, and the "Σx2" symbol represents the sum of all the squared data values.

These statistics can be used to analyze and interpret the data set. For example, the mean can be used to determine the central tendency of the data, and the standard deviation can be used to measure the spread of the data.

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The two numbers in this problem are given as follows:

x = -11, y = -23.

The two numbers are obtained solving a system of equations, for which the variables are given as follows:

x and y.

The sum of two numbers is -34, hence:

x + y = -34.

One number is 12 less than the other, hence:

y = x - 12.

Replacing the second equation into the first, the value of x is given as follows:

x + x - 12 = -34

2x = -22

x = -11.

Hence the value of y is given as follows:

y = -11 - 12

y = -23.

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The domain of g(x) is [9,15] and the range is [4,64]. The domain is the same as the original function f(x), while the range is obtained by multiplying the range of f(x) by 4.

The function g(x) = 4(f(x)) is obtained by applying a transformation to the original function f(x). Since f(x) has a domain of [9,15] and a range of [1,16], we need to determine the domain and range of g(x).

The domain of g(x) is determined by the values of x that can be plugged into f(x) without any restrictions. Since the domain of f(x) is [9,15], and g(x) applies a transformation to f(x) without affecting the domain, the domain of g(x) will also be [9,15].

The range of g(x) is determined by the values that the transformed function g(x) can take. In this case, g(x) is obtained by multiplying f(x) by 4. Multiplying f(x) by a positive constant like 4 will stretch the range of f(x) vertically. Since the range of f(x) is [1,16], multiplying it by 4 will stretch it to [4,64]. Therefore, the range of g(x) is [4,64].

In summary, the domain of g(x) is [9,15], same as the domain of f(x), and the range of g(x) is [4,64], obtained by stretching the range of f(x) by multiplying it by 4.

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Answer:

positive

Step-by-step explanation:

Answer:

It means it is usually positive

Step-by-step explanation:

The positive sign is invisible if it is at the beginning of an equation number, if it is moved to the other side of the equal sign, than it turns the opposite charge. Hope this answers your question :)