is it true that two pairs of adjacent sides of a kite are equal
​

Answer:

you're right it's 218

Step-by-step explanation:

you simply just put 5 instead of n in the equation then calculate. It's simple as that!

Rewrite the function using the change-of-base identity as

\(e^{x^2} \log_{10}(2x) = e^{x^2} \dfrac{\ln(2x)}{\ln(10)}\)

Apply the product rule:

\(\left(e^{x^2} \log_{10}(2x)\right)' = \left(e^{x^2}\right)' \dfrac{\ln(2x)}{\ln(10)} + e^{x^2} \left(\dfrac{\ln(2x)}{\ln(10)}\right)'\)

Use the chain rule:

\(\left(e^{x^2} \log_{10}(2x)\right)' = e^{x^2}\left(x^2\right)' \dfrac{\ln(2x)}{\ln(10)} + e^{x^2} \dfrac{(2x)'}{2\ln(10)x}\)

Compute the remaining derivatives:

\(\left(e^{x^2} \log_{10}(2x)\right)' = 2xe^{x^2} \dfrac{\ln(2x)}{\ln(10)} + e^{x^2} \dfrac2{2\ln(10)x} = e^{x^2}\left(\dfrac{2x\ln(2x)}{\ln(10)} + \dfrac1{\ln(10)x}\right)\)

If you like, you can convert back to base-10 logarithms:

ln(2x) / ln(10) = log₁₀(2x)

1 / ln(10) = ln(e) / ln(10) = log₁₀(e)

Then

\(\left(e^{x^2} \log_{10}(2x)\right)' = e^{x^2}\left(2x\log_{10}(2x)+\frac{\log_{10}(e)}x\right)\)

Answer:

The angle of x is 83°

Step-by-step explanation:

A straight line has a total of 180°. That means if you can figure out what the third angle on the bottom is (the one in the middle) you can add 41 to it and subtract that from 180. Since all the lines are straight you can say that the middle angle on the bottom is the same as the middle angle on the top. So:

180° - (41° + 56°) = 83°

Answer:

subtotal 9.76

Step-by-step explanation:

i can tell the last 2

hope this helps

pls mark brainliest

The simplified form of -20/2(7 2/3) is -230/3.

To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.

First, let's convert the mixed number 7 2/3 to an improper fraction.

7 2/3 = (7 * 3 + 2) / 3 = 23/3

Now, let's substitute the value back into the expression:

-20/2 * (23/3)

Next, we simplify the multiplication:

-10 * (23/3)

To multiply a fraction by a whole number, we multiply the numerator by the whole number:

-10 * 23 / 3

Now, we perform the multiplication:

-230 / 3

Therefore, the simplified form of -20/2(7 2/3) is -230/3.

​for such more question on simplified form

https://brainly.com/question/11680269

#SPJ8

Answer:

Area = 996 in^2

Step-by-step explanation:

First, look at the triangle on top, well, like half of it. You can use Pythagorean theorem to find the missing side. See image. Double it to find the base of the whole triangle. Use Area of a triangle:

= 1/2 b•h

to find the area of the top (the triangle).

The 24, used for the triangle base is also the side length of the square below. See image.

Area of a square is:

Area = s^2

OR, just l×w or b×h,

all the same.

Add together the triangle area and the square's area for the final answer. See image.

Answer:

62>(9*116)

Step-by-step explanation:

The following can be determined about the slopes and y-intercepts of the system of equations: A. The slopes are different, and the y-intercepts are different.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

Based on the information provided above, we have the following system of equations in standard form:

4x + 2y = −2

x − 3y = 24

By rewriting system of equations in slope-intercept form, we have:

y = -2x - 1  ⇒ m = -2, b = -1

y = x/3 - 8  ⇒ m = 1/3, b = -8

Read more on slope-intercept here: brainly.com/question/7889446

#SPJ1

Answer:

C

Step-by-step explanation:

If you notice, this is what the tangent-difference identity resembles. The tangent-difference identity is:

\(\tan(\alpha-\beta)=\frac{\tan(\alpha)-\tan(\beta)}{1-\tan(\alpha)\tan(\beta)}\)

We have the expression:

\(\frac{\tan(\frac{\pi}{7})-\tan(\frac{\pi}{8})}{1-\tan(\frac{\pi}{7})\tan(\frac{\pi}{8})}\)

So, our α is π/7 and our β is π/8. Therefore:

\(\frac{\tan(\frac{\pi}{7})-\tan(\frac{\pi}{8})}{1-\tan(\frac{\pi}{7})\tan(\frac{\pi}{8})}=\tan(\frac{\pi}{7}-\frac{\pi}{8}})\)

Simplify:

\(\frac{\tan(\frac{\pi}{7})-\tan(\frac{\pi}{8})}{1-\tan(\frac{\pi}{7})\tan(\frac{\pi}{8})}=\tan(\frac{8\pi}{56}-\frac{7\pi}{56}})\)

Subtract:

\(\frac{\tan(\frac{\pi}{7})-\tan(\frac{\pi}{8})}{1-\tan(\frac{\pi}{7})\tan(\frac{\pi}{8})}=\tan(\frac{\pi}{56})\)

So, our answer is C.

And we're done!

Answer:

c

Step-by-step explanation:

Answer:

56% I believe

Step-by-step explanation:

Answer: 125/27 as a decimal 4.62963

Step-by-step explanation:

((32)(5−2))−2(3(5−1))

((32)(5−2))−2(3(5−1))

Answer:

c.

Deposit the money in several banks, not putting too much money in any one.

Step-by-step explanation:

took the test

Answer:

C

Step-by-step explanation:

Answer:

All of the above.

Step-by-step explanation:

All of the above are equal to 5,2. I hope this cleared things up! ^w^

Answer:

Step-by-step explanation:

\(y = x + 1\\Let ; x =0\\y = 0+1\\y = 1\)

Answer:

y=5

Step-by-step explanation:

Recall that for a linear equation y = mx + b,

the gradient of the line is m and the gradient of a line perpendicular to this line is the negative reciprocal of m,

i.e:

gradient of line perpendicular to gradient m = -1/m

In our case, we are given y = x+1.

Compared to the general equation above, gradient m = 1

hence the gradient of a perpendicular line = -1/m = -1/1 = -1

therefore the perpendicular line will take the form:

y = (-1) x + b

y = -x + b, where b is the y-intercept.

We are also given that the perpendicular line passes through (4,1), we simply substitute x = 4, y = 1 into the equation

y = -x + b

1 = -4 + b   (add 4 to both sides)

1 + 4 = b

b = 5

Hence the y-intercept is y=5

Ok, so

We know that the initial amount which is deposited is $30,000.

For this problem, it is useful to use an exponential function because we know that we're working with a compounded interest.

So, we'll write:

Now, the question ask to us to find how much money is in the ccount after ten years. For this, we just replace t=10 in our equation. Like this,

Therefore, there will be $42317.96 in the account.

Answer:

47%

Step-by-step explanation:

26+27=53

100-53=47

47/100=.47

The range of the function y = 1/2 x + 2 is {0, 1, 2}, if the domain of the function is {-4, -2, 0}.

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable.

The given function is,

y = 1/2 x + 2.

Also, the domain of the function is {-4, -2, 0}.

Since, the domain of the functions defines the values of x,

And range defines the value of y in function.

The value of y at x = -4

y = 1/2(-4) + 2 = -2 + 2 = 0

At x = -2,

y = 1/2(-2) + 2 = -1 + 2 = 1

At x= 0,

y = 1/2 (0) + 2 = 2

The values of y are 0, 1 and 2.

Hence, the range of the function is {0, 1, 2}.

To know more about Function on:

https://brainly.com/question/2411204

#SPJ1

Answer:

x = 12

Step-by-step explanation:

Apply Thales' theorem

\(\frac{ED}{CB} =\frac{AD}{AB}\)

\(ED=x\)

\(\frac{x}{6} =\frac{20}{10}\)

\(x=\frac{(20)(6)}{10} =12\)

Hope this helps

Answer:

\(\frac{12}{49}\)

Step-by-step explanation:

\(\frac{4}{7} *\frac{3}{7} = \frac{12}{49}\)

Hope this helps.

Answer:

\(\displaystyle \frac{75}{2}\) or \(37.5\)

Step-by-step explanation:

We can answer this problem geometrically:

\(\displaystyle \int^6_{-4}f(x)\,dx=\int^1_{-4}f(x)\,dx+\int^3_1f(x)\,dx+\int^6_3f(x)\,dx\\\\\int^6_{-4}f(x)\,dx=(5*5)+\frac{1}{2}(2*5)+\frac{1}{2}(3*5)\\\\\int^6_{-4}f(x)\,dx=25+5+7.5\\\\\int^6_{-4}f(x)\,dx=37.5=\frac{75}{2}\)

Notice that we found the area of the rectangular region between -4 and 1, and then the two triangular areas from 1 to 3 and 3 to 6. We then found the sum of these areas to get the total area under the curve of f(x) from -4 to 6.

Answer:

\(\dfrac{75}{2}\)

Step-by-step explanation:

The value of a definite integral represents the area between the x-axis and the graph of the function you’re integrating between two limits.

\(\boxed{\begin{minipage}{8.5 cm}\underline{De\:\!finite integration}\\\\$\displaystyle \int^b_a f(x)\:\:\text{d}x$\\\\\\where $a$ is the lower limit and $b$ is the upper limit.\\\end{minipage}}\)

The given definite integral is:

\(\displaystyle \int^6_{-4} f(x)\; \;\text{d}x\)

This means we need to find the area between the x-axis and the function between the limits x = -4 and x = 6.

Notice that the function touches the x-axis at x = 3.

Therefore, we can separate the integral into two areas and add them together:

\(\displaystyle \int^6_{-4} f(x)\; \;\text{d}x=\int^3_{-4} f(x)\; \;\text{d}x+\int^6_{3} f(x)\; \;\text{d}x\)

The area between the x-axis and the function between the limits x = -4 and x = 3 is a trapezoid with bases of 5 and 7 units, and a height of 5 units.

The area between the x-axis and the function between the limits x = 3 and x = 6 is a triangle with base of 3 units and height of 5 units.

Using the formulas for the area of a trapezoid and the area of a triangle, the definite integral can be calculated as follows:

\(\begin{aligned}\displaystyle \int^6_{-4} f(x)\; \;\text{d}x & =\int^3_{-4} f(x)\; \;\text{d}x+\int^6_{3} f(x)\; \;\text{d}x\\\\& =\dfrac{1}{2}(5+7)(5)+\dfrac{1}{2}(3)(5)\\\\& =30+\dfrac{15}{2}\\\\& =\dfrac{75}{2}\end{aligned}\)

Answer:

y=-3x+b

Step-by-step explanation:

Find slope

-1-(-10)/2-5

9/-3

-3 is slope

y=-3x+b

substitute (2,-1)

-1=6+b

b=-7

y=-3x-7

Answer:

128 miles

Step-by-step explanation:

The number of miles Amy's parents drove altogether is 128 miles.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, Amy's dad drove 3 miles for every 5 miles her mom

drove.

So, the ratio is 3:5

Amy's mom drove 32 more miles than her dad

Let number mile Amy's father drove be x and then the number of miles Amy's mom drove will be x+32

Here, x/(x+32) =3/5

5x=3(x+32)

5x=3x+96

2x=96

x=48

So, x+32=80

Then, total distance is 80+48=128 miles

Therefore, the number of miles Amy's parents drove altogether is 128 miles.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

Answer:

The circumference of a circle is given by the formula "C = pi x d" where "d" is the diameter and "pi" is the mathematical constant with an approximate value of 3.14.

In this problem, the diameter of the bicycle wheel is 60 centimeters, so its circumference is:

C = pi x d = 3.14 x 60 = 188.4 centimeters

When the wheel makes one revolution, it travels one circumference distance. Therefore, when the wheel makes 35 revolutions, it will travel:

distance = 35 x circumference = 35 x 188.4 = 6584 centimeters

We can convert centimeters to meters by dividing the distance by 100:

distance = 6584 ÷ 100 = 65.84 meters

Therefore, the wheel travels 65.84 meters when it makes 35 revolutions.

Answer: Even

Step-by-step explanation:

Because it shows that the is 2k

the even numbers 2k+2,2k+4,...,4k,4k+2

Answer:

28 degrees

Step-by-step explanation:

We know that (4x + 7) + (2x + 5) add up to a straight angle = 180 degrees, so we have the equation 4x + 7 + 2x + 5 = 180.

By combining like terms, we get 6x + 12 = 180.

Subtract 12 from both sides of the equation to get 6x = 168. Divide both sides by 6 and you get x = 28.

The equation of a line in Slope-Intercept form is:

Where "m" is the slope of the line and "b" is the y-intercept.

According to the information given in the exercise, the y-intercept is:

And the x-intercept is 5.

So you know that the line passes through these points:

Then, you can find the slope of the line with the following formula:

In this case you can set up that:

Then, substituting values into the formula, you get that the slope is:

Knowing the values of "m" and "b", you can determine that the equation of this line in Slope-Intercept form, is:

The answer is:

Answer:

OC. the graph crosses the x-axis