if ab=8 and a^2+b^2=16, what is the value of (a+b)^2

Answer:

\(210547\)

Hope this helps. :)

Answer:

210547

Step-by-step explanation:

Multiply 526, 367.50 by 40 percent than the answer you get from that subtract from 526,367.50 then you get 210547.

Hope this Helps!

:D

Answer:

\(x=\frac{30}{7}\)

Step-by-step explanation:

Step 1: Subtract 10 from both sides.

−7x+10 −10= −20 -10

−7x=−30

Step 2: Divide both sides by -7.

−7x /−7  =  −30 /−7

x= 30 /7

Answer:

3 1/3 ÷ 4/5 = 25/6 =4 1/6

Result in decimals: 4.1666666666667

Answer:

The answer is 5/4

For the first expression, 3 multiplies 3 plus 1 divided by the denominator 3

= 3×3 +1÷3

=10/3

then with the second expression, the division sign changes to a multiplication sign . Immediately it changes,4/5 turns to become 5/4

so now it will be

10/3×5/4

=15/12

=5/4

Therefore, the value of Sam's gift right now is approximately $5,555.55 that is option D.

To calculate the present value of Sam's gift, we can use the formula for the future value of a single sum compounded annually:

PV = FV / (1 + r)ⁿ

Where:

PV is the present value,

FV is the future value,

r is the interest rate as a decimal, and

n is the number of periods.

In this case, the future value (FV) is $7,000, the interest rate (r) is 8% or 0.08, and the number of periods (n) is 3.

Plugging in the values into the formula, we get:

PV = 7000 / (1 + 0.08)³

= 7000 / (1.08)³

= 7000 / 1.259712

≈ 5555.55

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The power delivered by the student's biceps is 51.45 watts (W).

To calculate the power delivered by the student's biceps while doing a pull-up, we use the formula:

Power = Work/Time

Since the physics student lifts her 42 kg body to a distance of 0.25 m, the work done is given by:

Work = Force x Distance

The force exerted by the student is equal to her weight, which is given by:

F = mg

where m = 42 kg (mass of the student) and

g = 9.8 m/s² (acceleration due to gravity)

Therefore,

F = 42 kg x 9.8 m/s²

= 411.6 N (weight of the student)

Hence, the work done by the student is:

Work = Force x Distance

= 411.6 N x 0.25 m

= 102.9 J (joules)

The time taken by the student to complete the pull-up is given as 2 seconds.

Therefore:Time = 2 s

Now we can substitute the values into the formula for power:

Power = Work/Time

= 102.9 J/2 s

= 51.45 W

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Let us solve right hand side and make it equal to left hand side .

Given expression,

cot2B = (cos B - sinBtanB) / secBsin2B

Basic trigonometric functions,

tanB = sinB/cosB

cotB = cosB/ sinB

secB = 1/cosB

sin2B = 2sinBcosB

cos²B - sin²B = cos²B

Now,

LHS = (cos B - sinBtanB) / secBsin2B

Further,

= (cosB - sinB×sinB/cosB) / secB 2sinBcosB

= (cos²B - sin²B) / cosB × 1/ cosB × 2sinBcosB

= (cos²B - sin²B) / sin2B

= cos2B / sin2B

=cot2B

Hence proved.

Thus with trigonometric identities we can prove LHS = RHS.

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Since x lies in the third quadrant, sec x is negative.Therefore, sin x = √2 / 2, tan x = -1, and sec x = -√2, in simplest form.

Question 12: Part A: Determine the reference angle of x. (4 points)The reference angle of x is that angle in the range [0, 90°) that is formed by the terminal side of x when x is in standard position. It can be found by subtracting the multiple of 360° that brings the angle into the range [0, 360°) from the given angle, then taking the absolute value of the result.θr = |θ - 360°n|, where n is an integer that makes θr a positive angle, and θ is the given angleIn this case, the given angle x = -135° is in the third quadrant, and it lies 45° short of the fourth quadrant.

Therefore, we will add 360° to x and take the absolute value of the result to find the reference angle:θr = |(-135°) + 360°| = 225°Therefore, the reference angle of x is 225°.Part B: Find the exact values of sin x, tan x, and sec x in simplest form. (6 points)We have x = -135°, and we need to find the values of sin x, tan x, and sec x.Sin x = sin(-135°) = -√2 / 2. Since x lies in the third quadrant, sin x is negative, and we can find its value using the reference angle 225°:sin x = -sin(225°) = -(-√2 / 2) = √2 / 2.Tan x = tan(-135°) = -1. Since x lies in the third quadrant, tan x is negative.Sec x = sec(-135°) = -√2.

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The ratio will be less than 1 if p < infinity, so the series is convergent.

For the series (-1)^n - 4 ln(n) p, the series will be convergent for all values of p < infinity. To show this, use the ratio test:
Let a_n = (-1)^n - 4 ln(n) p

Lim |a_n+1/a_n| = |(-1)^(n+1) - 4 ln(n+1) p / (-1)^n - 4 ln(n) p|
  = |(-1)^(n+1) - 4 ln(n+1) p / (-1)^n - 4 ln(n) p|
  = |(-1)^(n+1) - 4 ln(n+1) p / (-1)^n - 4 ln(n) p|

The ratio will be less than 1 if p < infinity, so the series is convergent.

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Answer:

For g (2) = 3x -2 find the value of x

The value of x is 2

for which g(x) = 10?

10 = 3x -2

10 +2 = 3x

12 = 3x

x = 12/3

x = 4

Answer:

Step-by-step explanation:

If we want to share £5 to the ratio of 1/3 we should follow this steps :

the answer is 1.25 and 3.75

It was obvious from the beginning that the answer would be the last one since ut had two numbers

6 ; 14

how I would do this is

20×30+30×20=1200

1200÷50=24

so the answer is 24

the following statements correctly outputs the names of voters who live in district 6 and all voters who live in district 7:

if(district == 6 || district == 7)

System.out.println("Name is " + name);

Output is any information processed by and transmitted by a computer or other electronic device. Anything visible on your computer monitor screen, such as the text you write on your keyboard, is an example of output. The information produced by a system or process as a result of a certain input is referred to as output. The inputs are what are placed into a system in the context of systems theory, and the outputs are the outcomes gained after executing a whole process or just a tiny section of a process. The system's inputs are the signals or data it receives, and its outputs are the signals or data it sends. The phrase can also refer to an activity; to "perform I/O" is to carry out an action.

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Answer:

the first one

Step-by-step explanation:

absolute value is a number's distance from zero, so distance from zero can not possibly be negative. Therefore, |4x-2|=-6 has no solution.

Answer:

It would be the first one because there is no value of x that makes the equation be true since an absolute value can never be negative.

Step-by-step explanation:

Hope this helps:)....if don't help then sorry for wasting your time and may God bless you:)

To determine whether the set of solutions y1, y2, ..., yk is linearly dependent or not, we need to calculate the Wronskian W(y1, y2, ..., yk) and check whether it is zero for some x in (-[infinity], [infinity]). If it is never zero, then the set of solutions is linearly independent. If it is zero for some x, then the set of solutions is linearly dependent.

To determine whether the set of solutions y1, y2, ..., yk is linearly dependent or not, we can use the Wronskian determinant. The Wronskian of a set of k functions is defined as:

W(y1, y2, ..., yk) = det [y1, y2, ..., yk; y1', y2', ..., yk'; ..., ..., ..., ...; y1^(k-1), y2^(k-1), ..., yk^(k-1)]

where y1', y2', ..., yk' are the first derivatives of y1, y2, ..., yk, respectively, and y1^(k-1), y2^(k-1), ..., yk^(k-1) are their (k-1)th derivatives.

If the Wronskian is nonzero for all x in (-[infinity], [infinity]), then the set of solutions is linearly independent. If the Wronskian is zero for some x in (-[infinity], [infinity]), then the set of solutions is linearly dependent.

Therefore, to determine whether the set of solutions y1, y2, ..., yk is linearly dependent or not, we need to calculate the Wronskian W(y1, y2, ..., yk) and check whether it is zero for some x in (-[infinity], [infinity]). If it is never zero, then the set of solutions is linearly independent. If it is zero for some x, then the set of solutions is linearly dependent.

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Answer:

aₙ=-7*2ⁿ⁻¹

Step-by-step explanation:

The common ratio is r=-28/-14=-14/-7=2

The explicit formula for a geometric sequence is aₙ=a₁*rⁿ⁻¹ where aₙ is the nth term, r is the common ratio, and a₁ is the first term.

Given:

a₁=-7

r=2

Therefore, the explicit formula for the sequence is aₙ=-7*2ⁿ⁻¹

Answer:

Step-by-step explanation:

Answer:

78kg

Step-by-step explanation:

76×5= 380kg

380-72-74-75-81= 78kg

Answer:

$32.5

Step-by-step explanation:

given that the initial value was

$25

we want to solve for a 30% increase

let us calculate 30% of $25 first which is

30/100*25

=0.3*25

=$7.5

we then have to add this 7.5 to the initial cost

therefore the cost of the skirt Merideth pay

is=25+7.5

=$32.5

Answer:

32.50

Step-by-step explanation:

find 30 percent of 25, then add it to 25.

If the P value in a statistical test of hypotheses is more than, we may claim that the data are statistically significant at level. Less than is the P-value. =0.05 .

An assumption is said to as a hypothesis when it is supported by evidence. Any investigation that turns the research questions into predictions must start here. Variables, the population, and the relationships between the variables are among its constituent parts. A hypothesis used to examine the link between two or more variables is known as a research hypothesis.

One dependent variable and one independent variable are shown to be related. For instance, eating more vegetables will help you lose weight more quickly. In this scenario, increasing your vegetable intake is an independent variable, while weight loss is the dependent variable.

It makes a claim that conflicts with the premise. There is no connection between the independent and dependent variables, which is a negative assertion. The emblem stands for.

Hence, If the P value in a statistical test of hypotheses is more than, we may claim that the data are statistically significant at level. Less than is the P-value. =0.05 .

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1. Yes. There is a proportional relationship between the cost of items before tax and the price after tax because they share a constant of proportionality.

2. The constant of proportionality refers to the relative ratio that establishes the proportional relationship between two values.

Other descriptions of the constant of proportionality include:

Two variables possess a proportional relationship when their ratio or product produces a constant.

We can use the equation, k = y ÷ x, to find the constant of proportionality.

For instance, let the cost of items before tax be $100 with a 7% sales tax. The cost of the articles after tax is $107.

Therefore, the constant of proportionality is 1.07 ($107/$100).

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on a necklace two-thirds of the bees are blue of the blue beads 1/4 or oval shaped what fraction of the necklace is made up of blue ovals ​

we have that

2/3 ------> blue

1/4(2/3)=2/12-1/6

answer is 1/6

No, enough information is not given to prove that triangles are congruent using the SSS congruence theorem.

The SSS congruence theorem  expresses that assuming in two triangles, three sides of one are consistent to three sides of the other, then, at that point, the two triangles are said to be congruent.

Now, we are given that triangle ACB and triangle DEB that share a common vertex b. So, both triangles share a common side. So, one side is same for both of triangles.

From the diagram, we can see that both triangles opposite side are equal. So, second side is equal for both of triangles.

Now, from the diagram, we can see that both triangles vertically opposite angles are equal. So, we have two sides equal and one angle is equal.

So, given triangle is proved to congruent by SAS congruency not by SSS congruency.

Hence, enough information is not given.

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Answer:

\(3(2x + 1) = 5(x -4) \\ 6x + 3 = 5x - 20 \\ 6x - 5x = - 3 - 20 \\ \boxed{x = - 23}\)

The piece of wood for the ramp should be about 4.27 feet long using Pythagorean theorem.

Define Pythagorean theorem ?

The Pythagorean theorem is a fundamental concept in mathematics that describes the relationship between the sides of a right-angled triangle. It states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides (the adjacent and opposite sides).

We can use the Pythagorean theorem to find the length of the ramp.

First, we need to convert the height of the ramp from inches to feet:

18 inches = 1.5 feet

Let x be the length of the ramp in feet. Then, according to the Pythagorean theorem:

\(x^2 = 4^2 + 1.5^2\)

\(x^2 = 16 + 2.25\)

\(x^2 = 18.25\)

x ≈ 4.27

Therefore, the piece of wood for the ramp should be about 4.27 feet long.

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The function f(x) = \(x^2 e^{(-x^2)}\) has a maximum value at x = 0, which is a relative maximum point.

To find the relative maximum of the function f(x) =\(x^2 e^{(-x^2)}\), we can take its first derivative, set it to zero, and solve for x.

f(x) = \(x^2 e^{(-x^2)}\)

f'(x) = \(2x e^{(-x^2)} - 2x^3 e^{(-x^2)}\)

Setting f'(x) = 0, we get:

\(2x e^{(-x^2)} - 2x^3 e^{(-x^2)} = 0\)

\(2x e^{(-x^2)} (1 - x^2) = 0\)

This equation is true when either \(2x e^{(-x^2)} = 0\) or \(1 - x^2 = 0\).

Solving \(2x e^{(-x^2)} = 0\), we get x = 0.

Solving \(1 - x^2 = 0\), we get x = 1 or x = -1.

Now, we need to determine whether these values of x correspond to relative maximum, minimum, or inflection points.

To do this, we can use the second derivative test. The second derivative of f(x) is:

f''(x) = \(2e^{(-x^2)} - 4xe^{(-x^2)} - 4x^2e^{(-x^2)}\)

At x = 0, f''(0) = 2, which is positive. This means that f(x) has a relative minimum at x = 0.

At x = 1, f''(1) = \(-6e^{(-1)}\), which is negative. This means that f(x) has a relative maximum at x = 1.

At x = -1, f''(-1) = \(-6e^{(-1)}\), which is negative. This means that f(x) has a relative maximum at x = -1.

Therefore, the answer is (D) -1 and 1 only, as these are the only values of x at which f(x) has a relative maximum.

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Answer:

x=15

Step-by-step explanation:

we know that 8x+4x= 180 so then we add 8x to 4x and we get 12x then we divide 180 by twelve and 12x by twelve to get that x=15

To write an exponential function that models the situation, we can use the formula:

y = a(1 + r)^t

where:

y is the population after t years

a is the initial population (in 2000)

r is the annual growth rate (4% = 0.04)

t is the number of years since 2000

So, substituting the given values, we have:

y = 1900(1 + 0.04)^t

Simplifying the expression:

y = 1900(1.04)^t

Therefore, the exponential function that models this situation is:

f(t) = 1900(1.04)^t

where t represents the number of years since 2000 and f(t) represents the population after t years.

Given :

Reggie deposited $1,000 into an account that earns 5% compound interest monthly.

To Find :

Worth of money after 10 years.

Solution :

We know, final amount is given by :

\(A=P(1+\dfrac{r}{n})^{nt}\)

Here, P = initial balance

r = interest rate

n = number of times interest applied per time period

t = number of time period

Putting all given values in above equation, we get :

\(A=1000(1+\dfrac{0.05}{12})^{12\times 10}\\\\A =\$1647.01\)

Therefore, money in his account after 10 years is $1647.01 .

Hence, this is the required solution.

The function given is,

The graph of the function will be shown below

a) The zeros of a function, also referred to as roots or x-intercepts, occur at x-values where the value of the function is 0 (f(x) = 0).

Hence, from the graph above the zeros of the function is at

b) The function's domain is

c) The function's long-run behaviour is that:

Hence, the answer is

Answer:

2.64

Step-by-step explanation:

b*h=5.28

5.28/2=2.64