Answer this, please as I will reward the best answer 10 points

The system of nonlinear equations have two solutions: (x, y) = (0.114, 0.354), (x, y) = (1.432, 1.103).

In this problem we find a system of two nonlinear equations involving radical expressions. We proceed to resolve the system of nonlinear equations by algebra properties:

(2 · x - 1)² + 8√(2 · x · y) = 4

8√(2 · x · y) = 4 - (2 · x - 1)²

8√(2 · x · y) = 4 - 4 · x² + 4 · x - 1

8√(2 · x · y) = 4 · x - 4 · x² + 3

64 · (2 · x · y) = [(4 · x + 3) - 4 · x²]²

128 · x · y = (4 · x + 3)² - 8 · (4 · x + 3) · x² + 64 · x⁴

128 · x · y = 16 · x² + 24 · x + 9 - 32 · x³ - 24 · x² + 64 · x⁴            (1)

4 · y - √(8 · x · y - 1) = 1

4 · y - 1 = √(8 · x · y - 1)

(4 · y - 1)² = 8 · x · y - 1

16 · y² - 8 · y + 2 = 8 · x · y                                                             (2)

Now we plot two equations on a graphing tool and find that the system has the following two solutions: (x, y) = (0.114, 0.354), (x, y) = (1.432, 1.103).

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The probability that a randomly selected point within the circle would fall in the red- shaded area is 45. 833 %

The arc that is covered by the red - shaded area in the circle has a degree measure of 165 degrees. This is out of the total circle angle measure of 360 degrees.

This therefore means that the probability that a randomly selected point within the circle would fall in the red- shaded area can be found to be :

= Angle measure of red - shaped area / Total area x  100 %

= 165 / 360 x 100 %

=0. 45833 x 100 %

= 45. 833 %

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Therefore , the solution of the given problem of circle comes out to be 7.33 cm is the arc length.

A certain length from this new location, each piece of an aeroplane forms a circle (center). Surfaces and curving zones that are separate from one another make up its structure. Moreover, it rotates equally in all directions around the centre. Every end circumference is evenly spaced from the "centre" in some type of circle or constrained double sphere. One can make a path that is asymmetrical and goes to a circle by looping a rope across a circle.

Here,

=> Size of the arc =  θ * (π/180) * r

=> Arc = 30 * (22/7) / 180 * 14

=> Arc = 7.33

Thus , 7.33 cm is the arc length.

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Answer:

36,552

Step-by-step explanation:

To estimate the product of 481.68 and 76.25 to the nearest whole number, we can round both numbers to the nearest whole number first. 481.68 can be rounded to 482 and 76.25 can be rounded to 76.

Then, we can calculate the product of 482 and 76 to get the estimated result:

482 * 76 = 36,552

Therefore, the estimated product of 481.68 and 76.25 to the nearest whole number is 36,552.

Answer:

36,552

Step-by-step explanation:

To estimate the product of 481.68 and 76.25, you can round each number to the nearest whole number. 481.68 rounds to 482, and 76.25 rounds to 76.

The product of 482 and 76 is approximately 36,552. Therefore, the product of 481.68 and 76.25 is approximately 36,552.

Answer:

35.

Step-by-step explanation:

a^2 + b^2 = (a + b)^2 - 2ab

Substituting the given values:

25 = (a + b)^2 - 2*5

(a + b)^2 = 25 + 10

(a + b)^2 = 35

Answer:

We conclude that the range of the function is 'all positive real numbers'.

Thus, option (A) is true.

Step-by-step explanation:

Given the expression

\(f\left(x\right)=4^x\)

Determining the domain:

The domain of a function is the set of input values for which the function is real and defined.

It is clear that the given function has no undefined points nor domain constraints.

Therefore, the domain is: -∞ < x < ∞

Thus,

\(\mathrm{Domain\:of\:}\:4^x\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}\)

Determining the range:

The range is the set of values of the dependent variable for which a function is defined.

We know that the range of an exponential function of the form

\(c\cdot \:n^{ax+b}+k\:\mathrm{is}\:\:f\left(x\right)>k\)

\(k=0\)

In other words, the range is all positive real numbers.

Thus,

\(\mathrm{Range\:of\:}4^x:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)>0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(0,\:\infty \:\right)\end{bmatrix}\)

Therefore, we conclude that the range of the function is 'all positive real numbers'.

Thus, option (A) is true.

Answer:

Terms are separated by addition signs and subtraction signs, but never by multiplication sign

Step-by-step explanation:

A polynomial with one term is called a monomial. A polynomial with two terms is called a binomial. A polynomial with three terms is called a trinomial.

Answer:

\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2

Step-by-step explanation:

a recursive formula in a geometric sequence allows a term to be found by multiplying the preceding term by the common ratio r

here r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{-16}{-2}\) = 8 , then

\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2

Answer:

Answer:

m=7

Step-by-step explanation:

1 blue jar = 16 marbles

1 blue jar = 2 red jars

Therefor

16 marbles= 2 red jars

(Now let m=1 red jar)

16= 2m

(Then sine we have 2m dived both sides by 2 to isolate the m)

16/2= 2m/2

8=m

Step-by-step explanation:

Answer:

See explanation.

Step-by-step explanation:

13. (4*5)/2 = 10

14. 5*7=35 7-3=4 8-5=3 (4*3)/2 = 6 35+6 = 41

15. 3*4 = 12

16. (4*4)/2 = 8 8*4=32 4*2=8 16*8=128 128-32 = 96

Let me know if you want me to better explain how I solved any of these.

Simplifying

12m = 84.72

Solving

12m = 84.72

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Divide each side by '12'.

m = 7.06

Simplifying

m = 7.06

Answer:

Yessss part 2 but i wanna know why they immeiately went in the house?

Step-by-step explanation:

Answer:

Woah that was so good! You made it so interesting great job!!

Step-by-step explanation:

:)

Answer:

Quotient is 11

Step-by-step explanation:

In this question, we need to find the quotient of 55 divided by 5. In this case, 5 is divisor, 55 dividend. Let Q be the quotient of this.

On dividing 55 by 5, the quotient of this sum is 11. In this case, remainder is 0.

We know that,

11 × 1 = 11

And 11 × 5 = 55

So, the quotient in this case is 11. Hence, this is the required solution.

Have A Wonderful Day !!

Answer:20

Step-by-step explanation:this is wrong

Answer:

40

Step-by-step explanation:

subtract median of dogs and median of cats

The probability that the sample's mean length is greater than 6.3 inches is0.8446.

Here, we have,

Given mean of 6.5 inches, standard deviation of 0.5 inches and sample size of 46.

We have to calculate the probability that the sample's mean length is greater than 6.3 inches is 0.8446.

Probability is the likeliness of happening an event.

It lies between 0 and 1.

Probability is the number of items divided by the total number of items.

We have to use z statistic in this question because the sample size is greater than 30.

μ=6.5

σ=0.5

n=46

z=X-μ/σ

where μ is mean and

σ is standard deviation.

First we have to find the p value from 6.3 to 6.5 and then we have to add 0.5 to it to find the required probability.

z=6.3-6.5/0.5

=-0.2/0.5

=-0.4

p value from z table is 0.3446

Probability that the mean length is greater than 6.3inches is 0.3446+0.5=0.8446.

Hence the probability that the mean length is greater than 6.3 inches is 0.8446.

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The last expression finally simplifies to cot β + tan α using quotient identity in trigonometric identities.

We want to verify the trigonometric  identity;

cos (α - β)/(cos α sin β) = cot β + tan α

Now, according to trigonometric identities in mathematics, we know that;

cos (α - β) = (cos α cos β) + (sin α sin β)

Thus, plugging that back into our left hand side of the main question gives;

[(cos α cos β) + (sin α sin β)]/(cos α sin β)

Rewriting this expression by separating the denominator gives;

[(cos α cos β)/(cos α sin β)] + [(sin α sin β)]/(cos α sin β)

Using quotient identities, this can be simplified to;

cot β + tan α

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Answer:

3^7

Step-by-step explanation:

it’s the same as

(3^6)(3^1)

when you multiply the same number but with different exponent, you’ll add the exponent together, the number stays tha same.

3^(6+1)

3^7

Answer:

B. B x 1/10

Step-by-step explanation:

Lex had b pounds of apples. She gave away 1/10 of the apples. Which of the following expressions represents the weight of apples she gave away?

A. B + 1/10 this would be giving away more than the apples she has

B. B x 1/10, correct

C. B - 1/10 this would be giving 9/10 lb apples away. This represents the apples she kept.

D. B divided by 1/10 Lex does not have this many to give away

Using the quadratic formula to solve the equation x²-3x+ 5 = 0, the resultant answer is (D) 3+√11/2 and 3-√11/2.

The quadratic formula in elementary algebra is a formula that yields the answer to a quadratic problem.

In addition to the quadratic formula, other methods of solving quadratic equations include factoring, completing the square, graphing, and others.

A second-order equation of the form ax² + bx + c = 0 denotes a quadratic equation, where a, b, and c are real number coefficients and a 0.

So, we have the equation:

x²-3x+ 5 = 0

Now, solve it using the quadratic formula as follows:

x²-3x+ 5 = 0

a = 1

b = -3

c = 5

x = -(-3)±√(-3)² -4*1*5/2

Solve this further:

x = 3±√11/2

Therefore, using the quadratic formula to solve the equation x²-3x+ 5 = 0, the resultant answer is (D) 3+√11/2 and 3-√11/2.

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Correct question:

Solve x²-3x+ 5 = 0.

A.3+√-29 +VE/2 and 3- 2-29

B. 3+√29 and 3-√29

C. 3+√-11 and 3-√-11/2

D. 3+√11/2 and 3-√11/2

(0,416, infinity) is the best answer

Thank you for your question, your question is: The amount of algae in a bloom, P, can be modeled by the equation P = t4 + 6t3 + 7t2 + 8t, where t is measured in weeks. When will the population of algae be greater than 500?

Answer:

Much obliged to you for your inquiry, your inquiry is: The measure of green growth in a blossom, P, can be displayed by the condition P = t4 + 6t3 + 7t2 + 8t, where t is estimated in weeks. When will the number of inhabitants in green growth be more prominent than 500?

Answer:

5500 ml or 5.5 liters

Step-by-step explanation:

First, we should note that there are 1000 milliliters in 1 liter of liquid.

So, in milliliters, Peter filled three containers with 1500 ml, 750ml, and 2250 ml with 1000ml left over.

To find the total amount, we find the sum of all the milliliters:

1500 + 750 + 2250 + 1000 = 5500 ml

Again, we know that there are 1000 milliliters in 1 liter of liquid, so:

\(\frac{5500}{1000}\) = 5.5 liters

Step-by-step explanation:

points on the line: (4, -2) & (-5, 3)

gradient of the line = -5/9

general equation for all straight lines: y = mx + c

substitute one coordinate and the gradient into the equation. 3 = (-5/9)(-5) + c

therefore, c = 2/9

so the general equation is y = (-5/9)x + 2/9

Explanation:

The given equation is the same as y = 0x - 7. It matches the form y = mx+b which is slope intercept form of a linear equation.

The slope m = 0 always applies to horizontal lines. All points on this line have a y coordinate of -7.

If Gavin contributes towards a Pension fund (7,5% of his Basic Salary), then his net salary will be reduced by the amount he contributed towards pension fund i.e. R652.5.

1.1 Name of employee is Gavin Pillay. 1.2 UIF stands for Unemployment Insurance Fund. UIF is a benefit to provide short-term relief to workers who lose their jobs, or can't work due to illness, maternity or adoption leave. 1.3 The UIF paid by Gavin is calculated correctly.

Firstly, we need to calculate Gross Salary of Gavin, which is given as: Basic Salary + Overtime + M = R8700 + R1200 + R3201 = R13101Then, calculate total deductions from gross salary.

Total Deductions = PAYE + UIF = R1200 + 87 = R1287Hence, Gavin's net salary = Gross salary - Total Deductions = R13101 - R1287 = R11814Therefore, UIF paid by Gavin is calculated correctly as R87.1.4 This payslip is for the month of May i.e.

31/05/2023.1.5 Basic salary of Gavin = R8700. Deduct 7.5% of his basic salary to calculate his pension fund contribution. Pension Fund Contribution = 7.5/100 x R8700 = R652.5.1.6

Total deductions of Gavin includes PAYE, UIF and pension fund contribution.

Therefore, Total Deductions = PAYE + UIF + Pension Fund Contribution = R1200 + R87 + R652.5 = R1939.5.1.7

Gavin's age can not be determined as his date of birth is not provided.1.8 Address of Gavin's workplace is 21 Halsted Road, Pietermaritzburg?

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Answer:

3

Step-by-step explanation:

the slope of an equation (y=mx+b) is always "m", or the coefficient right infront of x. in this case, y=3x-7, 3=m, -7=b. m is the slope, so the slope is 3.

Answer: the answer is 9 I think .

Answer:

the answer is 23

Step-by-step explanation:

2x9+15-10

18+15-10

33-10

23

Answer:

  C:  y = -(x +3)² -1

Step-by-step explanation:

You want the vertex-form equation of the parabola with vertex (-3, -1) and opening downward.

For vertex (h, k), the vertex form equation of a parabola is ...

  y = a(x -h)² +k

Given that (h, k) = (-3, -1), the equation will have the form ...

  y = a(x -(-3))² + (-1)

  y = a(x +3)² -1 . . . . . . . . . . matches choice C

The value of 'a' will be negative when the parabola opens downward. Here, its value is -1.

  y = -(x +3)² -1

__

Additional comment

Once you identify the left-shift of 3 units as resulting in an equation with (x +3)² as a component, you can make the appropriate answer choice without considering anything else. Of course, the fact that the curve opens downward immediately eliminates choices A and B.

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