PLEASE ANSWER I REALLY NEED THIS

Answer:

\(\large \boxed{\sf \ \ \dfrac{1}{2}\sqrt{(x_1^2+y_1^2)(x_2^2+y_2^2)} \ \ }\)

Step-by-step explanation:

Hello,

This is a right triangle so the area is:

\(\dfrac{1}{2} \left\{ \sqrt{x_2^2+y_2^2} \cdot \sqrt{x_1^2+y_1^2} \right\}\\\\=\dfrac{1}{2}\sqrt{(x_1^2+y_1^2)(x_2^2+y_2^2)}\)

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

  length, width, perimeter

Step-by-step explanation:

First of all, you should notice that no problem is posed. A description is given, but no question is asked about it.

_____

If we assume that the length and width of the patio are desired, then those are the selections for the first two boxes.

The only other characteristic of the situation that is provided is the perimeter. So the formula for perimeter is the only one that can be usefully used.

Answer:

\(\frac{8}{21}\)

Step-by-step explanation:

To multiply a fraction multiply the numerators and denominators. The numerators are the numbers on top while the denominators are the numbers on the bottom. This means that 2 and 4 are the numerators while 3 and 7 are the denominators. So, multiply these numbers, 2*4=8 and 3*7=21. This means that the final answer is \(\frac{8}{21}\). Which is already in simplest form.

Step-by-step explanation:

of the following is the correct arrangement of the following atoms in order of DECREASING first ionization energy?

O>Te>Se>Po

Po>Te>Se>O

O>Se>Te>Po

Po>Se>Te>O

The equation is formed and solved below

What is an equation?

Algebra is concerned with two types of equations: polynomial equations and the particular case of linear equations. Polynomial equations have the form P(x) = 0, where P is a polynomial, while linear equations have the form ax + b = 0, where a and b are parameters, when there is only one variable. To solve equations from either family, algorithmic or geometric approaches derived from linear algebra or mathematical analysis are used. Algebra also investigates Diophantine equations with integer coefficients and solutions. The approaches employed are unique and derive from number theory. In general, these equations are complex; one frequently searches just for the existence or lack of a solution, and, if they exist, the number of solutions.

Let the price of washer = $x

The cost of dryer = $x+85

The equation is formed as

x + x + 85 = 765

or, 2x = 765 - 85

or, x = 680/2 = 340

Price of dryer = $(340+85) = $425

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This problem is related to the linear equation and the required cost of the dryer is $425.

What is a linear equation?

If a variable's maximum power is always 1, an equation is said to be a linear equation. As a one-degree equation, it also goes by that name.

Let a washer costs be \(w\) and a dryer costs be \(d\).

Since the total cost of a washer and a dryer is $765, it follows:

\(w+d=765\)                ... (1)

Further, it is given that the washer costs $85 less than the dryer, it means that:

\(w=d-85\)                 ... (2)

Using the two linear equations (1) and (2), it follows:

\(d-85+d=765\\2d-85=765\\2d=765+85\\2d=850\\d=\frac{850}{2}=425\)

Therefore, the cost of a dryer is $425.

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Answer:

first and third expressions

Step-by-step explanation:

using the rule of exponents

\(\frac{a^{m} }{a^{n} }\) = \(a^{m-n}\)

then

\(\frac{3^{\frac{4}{9} } }{3^{\frac{2}{9} } }\)

= \(3^{\frac{4}{9}-\frac{2}{9} }\) ← first expression

= \(3^{\frac{2}{9} }\) ← third expression

The depth at which the light intensity has dropped to I = 7 is approximately 138.6 ft.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To find the intensity of light at a depth of 25 ft, we can substitute x = 25 into the given equation:

I = 14\(e^{(-0.005 * 25)\)

I ≈ 6.07 lumens (rounded to two decimal places)

Therefore, the intensity of light at a depth of 25 ft is approximately 6.07 lumens

(b) To find the depth at which the light intensity has dropped to I = 7, we need to solve the equation:

7 = 14\(e^{(-0.005x)\)

Dividing both sides by 14, we get:

0.5 = \(e^{(-0.005x)}\)

Taking the natural logarithm (ln) of both sides, we get:

ln(0.5) = -0.005x

Solving for x, we get:

x = -ln(0.5)/0.005

x ≈ 138.6 ft (rounded to one decimal place)

Therefore, The depth at which the light intensity has dropped to I = 7 is approximately 138.6 ft.

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Answer:

12

Step-by-step explanation:

Using Permutation Formula :

Answer:

20° and 70°

Step-by-step explanation:

complimentary angle sum to 90°

let x be the compliment then the angle is 3x + 10 , so

x + 3x + 10 = 90 , that is

4x + 10 = 90 ( subtract 10 from both sides )

4x = 80 ( divide both sides by 4 )

x = 20

3x + 10 = 3(20) + 10 = 60 + 10 = 70

the 2 angle measures are 20° and 70°

Answer:

x ≤ −3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

Set your calculator to Degree mode.

a² = 17² + 20² - 2(20)(17)cos(89°)

a² = 677.13236

a = 26.0 in.

sin(89°)/26.02177 = (sin B)/17

sin B = 17sin(89°)/26.02177

B = 40.8°

C = 50.2°

The exponential function obtained from the table is represented by the formula y is 650(1.045)x.

A function with the exponential shape is:

y = abˣ

where an is y's initial value, b are multipliers, and y and x are variables.

The bacterial population at x hours should be represented by y.

With 650 bacteria cells at the beginning, the group.

a = 650

4.5% is the growth rate.

b = 100% + 4.5% = 104.5% = 1.045

The exponential function obtained from the table is represented by the formula y = 650(1.045)x.

The exponential function obtained from the table is represented by the formula y is 650(1.045)x.

Thirty hours later:

y = 650(1.045)³⁰ = 2434.

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Answer:

possibly 5?

Step-by-step explanation:

But can you plzzz help me with my latest question

Answer:

884.4

Step-by-step explanation:

Answer:

The original price is 895.12$

I haven't done percent in ages, lmk if you get it right
kudos to any other answer besides this

Step-by-step explanation:

The bench costs $375, and the garden table costs $295. Together, they amount to $670, with the table being $80 cheaper than the bench.

Let the cost of the bench be x. Then the cost of the garden table is x-80. The sum of the costs of both items is $670. So we have the equation: x + (x-80) = $670.

Simplifying this, we get 2x - 80 = $670  + 80 2x = $750  x = $375. So the cost of the bench is $375. The garden table costs $375 - $80 = $295. A garden table and a bench cost $670 combined.

The garden table costs $80 less than the bench. To find the cost of the bench, we can use algebraic equations. Let the cost of the bench be x. Then, the cost of the garden table is x - 80.

The sum of both costs is $670. Using this information, we can form an equation: x + (x - 80) = $670. Simplifying, we get 2x - 80 = $670 + 80. Solving for x, we get x = $375.

Therefore, the cost of the bench is $375, and the cost of the garden table is $295.

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Answer: 7 cm

Step-by-step explanation: 35 ÷ 5 = 7

Patient needs to 500,000 unit of penicillin, then according to capsule availability we shall provide the 2 capsules of 200,000 unit and 1 capsule of 100,000 unit.

The doctor orders 500,000 unit of penicillin for the patient. the capsule available are 200,000 unit and 100,000 units.

we have to find out the number of capsules required for 500,000 unit,

let's see,

we have 200,000 unit of penicillin and 100,000 units of penicillin available,

patient need of 500,000 unit of penicillin,

so we shall provide the 2 capsule of 200,000 units of penicillin and 1 capsule of penicillin 100,000 unit to the patient,

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Answer:

I think it would be X x 5 = Y

Step-by-step explanation:

The required expression for total revenue is 5x.

Amount is the multiplication of total number of quantities and total price.

Amount= number of quantity×price

Given that,

Total number of candles Carolyn sell = x,

Price of one candle = $5.

To find total revenue,

Total amount  = price of one candle × total number of candles

Total amount = 5x

The required expression is 5x.

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11/2

Step-by-step explanation:

Answer:

8 3/4 is already a fraction, it will be 8.75 in decimal if thats what you want.

Step-by-step explanation:

A percentage is a way to describe a part of a whole. The given percentage 8³/₄% in the form of a fraction is equal to 7/80.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

A mixed fraction is a fraction that contains a whole number and a fraction whose denominator is greater than the numerator. A mixed fraction can be converted as,

2 1/2

= (2×2 + 1)/2

= 5/2

= 2.5

The given percentage 8³/₄% in the form of a fraction can be written as,

8³/₄%

= (8×4 + 3)/4 %

= (35/4) %

= (35/4)/100

= 35/(4 × 100)

= 35/400

= 7/80

Hence, The given percentage 8³/₄% in the form of a fraction is equal to 7/80.

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The rate at which the depth of the liquid is increasing when the depth of the liquid reaches one-third of the height of the bowl is 1.25 cm s⁻¹.

The volume of the liquid in the bowl is given by the following integral:

\(V = \int\limitsx_{0}^{h} \, \pi r^{2}(y) dy\)

where r = radius of the bowl and y = height of the liquid.

The radius of the bowl is equal to the distance from the curve y = (4/(8-x)) - 1 to the y-axis. This can be found using the following equation:

r = √{(4/(8-x)) - 1}² + 1²

The height of the liquid is equal to the distance from the curve y = (4/(8-x)) - 1 to the x-axis. This can be found using the following equation:

h = (4/(8-x)) - 1

Substituting these equations into the volume integral:

\(V = \int\limitsx_{0}^{h } \, \pi {\sqrt{(4/(8-x)) - 1)^{2} + 1^{2} (4/(8-x))} - 1 dy\)

Evaluate this integral using the following steps:

Expand the parentheses in the integrand.

Separate the integral into two parts, one for the integral of the square root term and one for the integral of the linear term.

Integrate each part separately.

The integral of the square root term can be evaluated using the following formula:

\(\int\limits^{b} _{a} \, dx \sqrt{x} dx = 2/3 (x^{3/2}) |^{b}_{a}\)

The integral of the linear term can be evaluated using the following formula:

\(\int\limits^{b} _{a} \, {x} dx = (x^{2/2}) |^{b}_{a}\)

Substituting these formulas into the integral:

V = π { 2/3 (4/(8-x))³ - 1/2 (4/(8-x))² } |_0^h

Evaluating this integral:

V = π { 16/27 (8-h)³ - 16/18 (8-h)² }

The rate of change of the volume of the liquid is given by:

dV/dt = π { 48/27 (8-h)² - 32/9 (8-h) }

The rate of change of the volume of the liquid is 7π cm³ s⁻¹. Also the depth of the liquid is one-third of the height of the bowl. This means that h = 2/3.

Substituting these values into the equation for dV/dt:

dV/dt = π { 48/27 (8-2/3)² - 32/9 (8-2/3) } = 7π

Solving this equation for the rate of change of the depth of the liquid:

dh/dt = 7/(48/27 (8 - 2/3)² - 32/9 (8 - 2/3)) = 1.25 cm s⁻¹

Therefore, the rate at which the depth of the liquid is increasing when the depth of the liquid reaches one-third of the height of the bowl is 1.25 cm s⁻¹.

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9514 1404 393

Answer:

  $585

Step-by-step explanation:

Bruce wants 100% +30% of the cost to be 80% of the selling price. So, the selling price (p) is ...

  $360(1.30) = 0.80p

  p = $360·1.30/0.80 = $585

The full selling price of the bike should be $585.

_____

Check

With 20% off, the sale price would be $468. That is 468/360 = 1.30 times the amount Bruce pays for it.

Answer:

a) -29

b) 16

c) -6

d) 23

e) 12/a

f) x = -5

g) x = -2

h) x = 4

Step-by-step explanation:

I skipped the optional ones

Answer:

Do in calculator simple answer

Using differentiation, the area of the triangle is decreasing at the given time.

The formula for the area of a triangle is:

A = (1/2)bh

where b is the base and h is the height.

Differentiating both sides of the equation with respect to time t, we get:

\(\frac{dA}{dt} = (1/2)[(\frac{db}{dt}) h + b(\frac{dh}{dt}) ]\)

Substituting the given values, we get:

\(\frac{dA}{dt} = (1/2)[(1)(10) + (5)(-2.5)] = (1/2)(10 - 12.5) = -1.25\)

Since the derivative of the area with respect to time is negative (-1.25), the area of the triangle is decreasing at the given instant.

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Answer:

60

Step-by-step explanation:

360/6=60

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

\(f\left(x\right)=\sqrt{x^3-16x}\)

We know that the domain of the function is the set of input or arguments for which the function is real and defined.  

In other words,  

Now, determine non-negative values for radicals so that we can sort out the domain values for which the function can be defined.

\(x^3-16x\ge 0\)

as x³ - 16x ≥ 0

\(\left(x+4\right)\left(x-4\right)\ge \:0\)

Thus, identifying the intervals:

\(-4\le \:x\le \:0\quad \mathrm{or}\quad \:x\ge \:4\)

Thus,

The domain of the function f(x) is:

\(x\left(x+4\right)\left(x-4\right)\ge \:0\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-4\le \:x\le \:0\quad \mathrm{or}\quad \:x\ge \:4\:\\ \:\mathrm{Interval\:Notation:}&\:\left[-4,\:0\right]\cup \:[4,\:\infty \:)\end{bmatrix}\)

And the Least Value of the domain is -4.