please help me answer this question asap

Answer:

192cm²

Step-by-step explanation:

The diagonal of the rectangle is expressed using the formula:

d = √l²+w²

l is the length

w is the width

Given d = 20

20 = √l²+w²

400 = l²+w² .... 1

Since the difference between the length and the width is 4cm, then;

l - w = 4 ... 2

l = 4 + w

Substitute equation 2 into 1;

400 = (4+w)²+w²

400 = 16 +8w + w² +w²

400 = 16 + 8w + 2w²

2w²+8w - 384 = 0

w²+4w - 192 = 0

w = -4±√4²-4(-192)/2

w = -4±√16+768/2

w = -4±28/2

w = -4+28/2

w = 24/2

w = 12

Since l = w+4

l = 12+4

l = 16

Area of the rectangle = 16 * 12

Area of the rectangle = 192cm²

Answer:

rytytyf

Step-by-step explanation:

yiyiuyiuy

Answer:

D

Step-by-step explanation:

This is an equation of a line and it shows all the solutions for any x-value.

Answer:

B

Step-by-step explanation:

made the most sense because it's only going to be a point

Answer:

\(2p^2\)

Step-by-step explanation:

Step 1: Apply the exponentiation property:

\((8p^6)^\frac{1}{3} = 8^\frac{1}{3} * (p^6)^\frac{1}{3}\)

Step 2: Simplify the cube root of 8:

The cube root of 8 is 2:

\(8^\frac{1}{3} =2\)

Step 3: Simplify the cube root of \((p^6)\):

The cube root of \((p^6)\) is \(p^\frac{6}{3} =p^2\)

Step 4: Combine the simplified terms:

\(2 * p^2\)

So, the simplified expression is \(2p^2\).

The expression 4√5 represents the product of the coefficient 4 and the square root of the prime number 5. Is approximate value is 8.944.

To do this, let's first break down the given expression: "4 radical 5" can be written as "4√5." Here, the number 4 is called the coefficient and the number 5 is under the square root symbol (radical). In this expression, the square root of 5 is being multiplied by the coefficient 4.

Now, 4√5 is an exact representation and cannot be simplified further because 5 is a prime number and has no perfect square factors. Therefore, we can only approximate the value of 4√5. To do this, we find the square root of 5, which is approximately 2.236, and then multiply this value by the coefficient 4.

4 * 2.236 ≈ 8.944

So, 4√5 is approximately equal to 8.944. Keep in mind that this is an approximation, and the exact value of 4√5 is still represented as "4√5" in its simplest form.

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Answer:

Let's assume Holly invested x dollars in the first account that earns 5% interest and (500-x) dollars in the second account that earns 7.5% interest.

The interest made from the first account after 3 years is x * 0.05 * 3 = 0.15x

The interest made from the second account after 3 years is (500-x) * 0.075 * 3 = 0.225(500-x)

The total interest made is 0.15x + 0.225(500-x) = 100.50

Expanding and solving for x, we get:

0.15x + 112.5 - 0.225x = 100.50

-0.075x = -12

x = 160

So, Holly invested $160 in the first account and $340 in the second account.

Answer: A 2/1

Step-by-step explanation:

Determine the slope of the line by finding 2 points

(2,-1),(4,3)

use slope formula

y2-y1/x2-x1

plug in and solve

3+1/4-2

4/2

2

the slope is 2 or 2/1

Answer:

= 61%

Step-by-step explanation:

Shaded is 1.22 out of 200

Shaded is .61 out of 100

TOTAL IS 61%

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer:

Step-by-step explanation:

Slope intercept form: y =mx +c

5x - 2y = 10

    -2y =  -5x + 10

\(\dfrac{-2y}{-2}=\dfrac{-5x}{-2}+\dfrac{10}{-2}\\\\\\y=\dfrac{5}{2}x-5\)

Answer:

5

Step-by-step explanation:

Answer:

2/10 + 7/10

9/10

Step-by-step explanation:

I did the test.

Answer:

The expression written in equivalent form with common denominators is

✔ 2/10 + 7/10

The sum is

✔ 9/10

Step-by-step explanation:

Answer:

that's correct answer is yes

Step-by-step explanation:

yes

To minimize the function h(x, y) = 2cos(x^2 + y^2) using the gradient descent method with exact line search, we start with an initial guess of (1, 1) and take one step towards the minimum.

In the gradient descent method, we update our current position iteratively based on the negative gradient direction, aiming to reach the minimum of the function. The exact line search helps us determine the step size that minimizes the function along the chosen direction.

First, we compute the gradient of h(x, y) with respect to x and y. Taking partial derivatives, we find dh/dx = -4xsin(x^2 + y^2) and dh/dy = -4ysin(x^2 + y^2). Evaluating these at the initial guess (1, 1), we obtain the gradient (-4sin(2), -4sin(2)).

Next, we determine the step size. Since we are using exact line search, we aim to find the value of α that minimizes the function h(x, y) along the line defined by the current position and the negative gradient direction. This involves solving a one-dimensional optimization problem.

After finding the optimal step size α, we update our current position by subtracting α times the gradient vector from the initial guess. This gives us the new point (1 + 4αsin(2), 1 + 4αsin(2)), which represents one step towards the minimum of the function.

The process of gradient descent with exact line search is then repeated iteratively until convergence, where the algorithm stops when a stopping criterion is met, such as reaching a desired precision or a maximum number of iterations.

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The algebraic equation that represents above statement is 3w + 16 = 31 and the johns age is 5

The term "algebraic equation" refers to a formulation of the equality of two expressions using the algebraic operations of addition, subtraction, multiplication, division, raising to a power, and extraction of a root on a set of variables.

Given that

John's age is w

His brother's age = 2*John's age  

= 2w

His sister's age = 16 years

Total age of siblings = 31

⇒ w + 16 + 2w = 31

⇒ w + 2w + 16 = 31

Combine like terms

⇒ 3w + 16 = 31

Subtract 16 from both sides

⇒ 3w = 31 - 16

⇒ 3w =15

⇒ w = 15/3

⇒ w = 5

John is 5 years old

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Step-by-step explanation:

hola nose inglés q te valla bien

Answer:

you can start out by writing the number in standard form, which means that it shouldn't exceed to 10 . So in this case, we are writing it as 3.01⋅10−4 instead of 30.1⋅10−3 , hope it helpeful

To calculate the confidence interval for the proportion of long-hairs in Maryland, we can use the formula for a confidence interval for a proportion.

Calculation of the 99% two-sided confidence interval for the proportion p of long-hairs in Maryland:

Given that the sample size is 500 and the proportion of long-hairs in Michigan is 25%, we can calculate the confidence interval using the following formula:

Confidence interval = sample proportion ± z * √((sample proportion * (1 - sample proportion)) / sample size)

First, we calculate the standard error:

Standard error = √((sample proportion * (1 - sample proportion)) / sample size)

Standard error = √((0.25 * (1 - 0.25)) / 500)

Next, we find the z-value for a 99% confidence interval, which corresponds to a two-sided confidence interval. The z-value for a 99% confidence level is approximately 2.576.

Finally, we calculate the confidence interval:

Confidence interval = 0.25 ± (2.576 * standard error)

Substituting the values, we get:

Confidence interval = 0.25 ± (2.576 * √((0.25 * (1 - 0.25)) / 500))

Calculate the upper and lower bounds of the confidence interval to get the final result.

Calculation of the 99% lower bound confidence interval for the proportion p:

To find the lower bound of the confidence interval, we subtract the margin of error from the sample proportion:

Lower bound = sample proportion - (z * standard error)

Substituting the values, we get:

Lower bound = 0.25 - (2.576 * √((0.25 * (1 - 0.25)) / 500))

This will give us the lower bound of the confidence interval.

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Answer:

answer is b). y = 100+ 0.05x

Step-by-step explanation:

The volume is measured at the bottom of the meniscus when the liquid level is between the two etched marks on the pipet.

1. Place the graduated pipet on a flat surface and make sure it is level

2. Draw the liquid up until the meniscus is level with the etched line that corresponds to the desired volume

3. Make sure the liquid is not touching the etched line above it

4. Observe the bottom of the meniscus and take the reading at the point where the liquid level is between the two etched lines

The volume is measured at the bottom of the meniscus when the liquid level is between the two etched marks on the pipet.

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Answer:

x = ± 3

Step-by-step explanation:

3x² - 27 = 0 ( add 27 to both sides )

3x² = 27 ( divide both sides by 3 )

x² = 9 ( take square root of both sides )

x = ± \(\sqrt{9}\) = ± 3

Ahmad will only have 50 mg of the drug left in his body in 3.74 hours.

Create an exponential model with two data points. When one of the data points has the form (0,a), an is the starting point. Equation f(x)=abx f(x) = a b x

f (x) = a b x,

solve for b by substituting a for the second point.

An exponential function is one with the formulas f(x) = a b x, f(x) = a cdot b x, and f(x) = a bx, where an an a, b , and b  are all real values and b  is:

Equation f(x)=abx

f(x) = a b x

f (x) = a b x,

solve for b by substituting a for the second point.

According to the question,

200e 0.4t = 50 e

0.4t = 50/200 e

0.4t = 0.25,

Resulting in ln e 0.4t = ln0.25 t = 3.47.

Therefore, the ahmad will only have 50 mg of the drug left in his body in 3.74 hours.    

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Answer:

(5, 1.5 )

Step-by-step explanation:

Given the 2 equations

5x - 4y = 19 → (1)

x + 2y = 8 → (2)

Multiplying (2) by 2 and adding to (1) will eliminate the y- term

2x + 4y = 16 → (3)

Add (1) and (3) term by term to eliminate y

7x + 0 = 35

7x = 35 ( divide both sides by 7 )

x = 5

Substitute x = 5 into either of the 2 equations and solve for y

Substituting into (2)

5 + 2y = 8 ( subtract 5 from both sides )

2y = 3 ( divide both sides by 2 )

y = 1.5

solution is (5, 1.5 )

If Lines J and k are perpendicular. The slope of line k is 3, the slope of line j is -1/3

When two lines are perpendicular to each other, the product of their slope results in -1

slope of line j x slope of line k = -1

slope of line j x 3 = -1

slope of line j  is 1/3

Therefore, if Lines J and k are perpendicular. The slope of line k is 3, the slope of line j is -1/3

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The measure of the angles is m∠SAU= 24°

The incenter is the point at which all of the attitude bisectors meet in the triangle, like within the video. It is not always the middle of the triangle.

In triangle ABC, V is the incenter of the triangle.

Since, m∠SAV = 26°

And m∠SBV = 2(m ∠SAV)

                    = 2 × 26°

                    = 52°

Since Property of the incenter of a triangle;

Therefore, DG = EG = GF = 10

Since, m∠A + m∠B + m∠C = 180°

2(18)° + 34° + 2(m∠SAU) = 180°

2(m∠SAU) = 180° - 132°

m∠SAU= 24°

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Solution. To graph f, we graph the equation y=f(x).

To this end, we use the techniques outlined in Section 1.2.1. Specifically, we check for intercepts, test for symmetry, and plot additional points as needed. To find the x -intercepts, we set y=0. Since y=f(x), this means f(x)=0.

\($$\begin{aligned}f(x) & =x^2-x-6 \\0 & =x^2-x-6 \\0 & =(x-3)(x+2) \quad \text { factor } \\x-3=0 & \text { or } x+2=0 \\x & =-2,3\end{aligned}$$\)

So we get (-2,0) and (3,0) as x-intercepts. To find the y-intercept, we set x=0. Using function notation, this is the same as finding f(0) and f(0)=0^2-0-6=-6. Thus the y-intercept is (0,-6). As far as symmetry is concerned, we can tell from the intercepts that the graph possesses none of the three symmetries discussed thus far. (You should verify this.) We can make a table analogous to the ones we made in Section 1.2.1, plot the points and connect the dots in a somewhat pleasing fashion to get the graph below on the right.

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Answer:

Answer:

Step-by-step explanation:

Radius = diameter ÷ 2

Diameter = distance between C and D

Find the distance using distance formula

\(Diameter, CD = \sqrt{(-7-1)^2 + (-4-2)^2} = \sqrt{8^2 + 6^2} = \sqrt{100} = 10 \ units\\\\Therefore , radius = \frac{Diameter }{2} = 5 \ units\)

Answer:

It will experience a low tide because water is drawn away from the area between the high tides.

Explanation:

The oceans on earth bulge outwards towards the sun and moon due to gravitational pull. This building is highest when the moon and sun are in line (same plane). The coastline within this plane will experience high tides while those at the right angle will have the lowest tides.  

Answer:

128

Step-by-step explanation:

0.6 (the percentage) x 80.00= 48.00

48.00 + 80.00 = 128.00

Answer:

128

Step-by-step explanation:

60% + 100% (new price) = 160% = 1.6

80 x 1.6 = 128

Answer:

3(x+4)-2=2(2x+5)-x

3x+12-2=4x+10-x

3x+10=3x+10

Any value of x

makes the equation true.

All real numbers

Interval Notation:

(−∞,∞)

Step-by-step explanation:

3x+10=3x+10 => 0=0

When x=1 => 13=13

....................................

          x=5 => 25=25

......................................

Equation is always true for all x

Answer:

(6,4) , (8,6) , (2, 7)

Step-by-step explanation: