Evaluate this expression. − 4/5 − (− 2/5 ) + 4/7
A) − 22/35
B) − 3/5
C) 6/35
D) 2

Answer:

[tex]f'(x)=1+\ln x[/tex]

Step-by-step explanation:

[tex]f'(x)[/tex] is notation for the first derivative of [tex]f(x)[/tex].

Recall the product rule:

[tex](f\cdot g)'=f'\cdot g+g'\cdot f[/tex]

Therefore, we have:

[tex]\displaystyle \frac{d}{dx}(x\ln x)=\frac{d}{dx}(x)\cdot \ln(x)+\frac{d}{dx}(\ln x)\cdot x[/tex]

Note that:

[tex]\displaystyle \frac{d}{dx}(x)=1,\\\\\frac{d}{dx}(\ln x)=\frac{1}{x}[/tex]

Simplify:

[tex]\displaystyle \frac{d}{dx}(x\ln x)=1\cdot \ln x+\frac{1}{x}\cdot x, \\\\\frac{d}{dx}(x\ln x)= \ln x+1=\boxed{1+\ln x}[/tex]

The derivative is:

[tex] \bold{f(x) \: = \: x \: \times \: (In(x))}[/tex]

[tex] \bold{f'(x) \: = \: \frac{d}{dx} (x \: \times \: In(x))}[/tex]

[tex] \bold{f'(x) \: = \: \frac{d}{dx} (x) \: \times \: In(x) \: + \: x \: \times \: \frac{d}{dx} (In(x))}[/tex]

[tex] \bold{f'(x) \: = \: 1In(x) \: + \: x \: \times \frac{1}{x} }[/tex]

[tex] \bold{f'(x) \: = \: In(x) \: + \: x \: \times \: \frac{1}{x} }[/tex]

[tex] \boxed{ \bold{f'(x) \: = \: In(x) \: + \: 1}}[/tex]

Answer:

the answer is c

Step-by-step explanation:

x - 7, y + 6

- 1 - 7, 4 + 6

- 8, 10

The most simplified version of it is 49/50

Answer:

98/100

Step-by-step explanation:

The number after the decimal is the tenths place. And the second number after the decimal is in the hundredths place. And so on...

So .98 would be in the hundredths place making it 98/100.

If you want to simplify it even more, you would make it 49/50.

Hope that helped : )

Answer:

[tex]\displaystyle [-1, 2][/tex]

Step-by-step explanation:

[tex]\displaystyle -2x + [1 - x] = 4 → 4 = 1 - 3x → \frac{3}{3} = \frac{-3x}{3}; -1 = x, 2 = y \\ \\ [-1, 2][/tex]

I am joyous to assist you at any time.

Step-by-step explanation:

if I understand the typed information here, we have

(-4 + 8x) + 3 > -4

so, I am looking at that :

-4 + 8x + 3 > -4

let's first add 4 on both sides

8x + 3 > 0

then subtract -3 on both sides

8x > -3

and finally divide both sides by 8

x > -3/8

since we never multiplied or divided by a negative number, the inequality sign stays the same.

so, this inequality is true for all x > -3/8

Step-by-step explanation:

3x²+1+8=27

3x²+9=2

3x²=27-9

3x²=19

x²=19/3

[tex]x = \frac{ \sqrt[]{19} }{ \sqrt{3} } [/tex]

Answer:

[tex]3^{2x} + 1 + 18 = 27\\ 3^{2x} = 18\\2x = log_{3} 18[/tex]

Step-by-step explanation:

Answer:

[tex]b)8[/tex]

is the answer it's was helpful to you

Answer:

B ) 8

Is the answer have a great day

Answer:

Step-by-step explanation:

[tex] \frac{ - 216}{144} \\ \\ = \frac{ - 3}{2} [/tex]

Answer:

[tex]A=\pi(336)[/tex]

[tex]A=1055.575[/tex]

Step-by-step explanation:

1. Approach

One is given a prism. The base of the prism is a quarter of a circle, the prism's length is also given. The easiest method to find the volume of the prism is to find the area of the quarter of the circle, then multiply the result by the length of the prism.

2. Find the area of the quarter circle

The following formula can be used to find the area of a circle,

[tex]A_c=(\pi)(r^2)[/tex]

Since one is trying to find the area of a quarter of a circle, one must multiply this formula by ([tex]\frac{1}{4}[/tex]). Please note that the parameter (r) represents the radius of the circle or the distance from the center of the circle to the circumference or outer edge of the circle. The parameter ([tex]\pi[/tex]) represents the number ([tex]3.1415...[/tex]).

[tex]A_c=\frac{1}{4}(\pi)(r^2)[/tex]

Substitute the given values into the formula and simplify to evaluate,

[tex]A_c=\frac{1}{4}(\pi)(r^2)[/tex]

[tex]A_c=\frac{1}{4}(\pi)((8)^2)[/tex]

[tex]A_c=\frac{1}{4}(\pi)(64)[/tex]

[tex]A_c=(\pi)(16)[/tex]

[tex]A_c\approx 50.2655[/tex]

3. Find the volume of the prism

Now multiply the area of the quarter circle by the length of the prism to find the volume of the prism. Note that the parameter (l) represents the length of the prism,

[tex]A=A_c(l)[/tex]

Substitute and simplify to evaluate,

[tex]A=(\pi)(16)(21)[/tex]

[tex]A=\pi(336)[/tex]

[tex]A=1055.575[/tex]

Answer:

139

Step-by-step explanation:

Substitute x for 15.

9(15)+4

Then multiply:

135+4

And then add:

139

Answer:

the addition property of equality

.the multiplication property of equality

Step-by-step explanation:

1/3x - 6 =11

Add 6 to each side using the addition property of equality

1/3x-6+6 = 11+6

1/3x = 17

Multiply each side by 3, using the multiplication property of equality

1/3x *3 = 17*3

x = 54

Answer:

B. 0

Step-by-step explanation:

The circles do not intersect, tangents require intersection

Answer:

B.) 0

Step-by-step explanation:

I got it correct on founders edtell

Answer:

True

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer:

B) 120

Step-by-step explanation:

Initial problem: 90/x = 3/4

Cross multiply to get:

90*4 = 3x

360 = 3x

x = 120

Check (optional):

90/120 = 3/4

(simplify):

3/4 = 3/4 so it is correct

If you're confused about any of these steps, just let me know and I'll try to help!

The value of x would be B. 120

To solve the proportion 90/x = 3/4, we can use cross-multiplication. Cross-multiplication involves multiplying the numerator of the first fraction (90) with the denominator of the second fraction (4), and multiplying the numerator of the second fraction (3) with the denominator of the first fraction (x).

So, the equation becomes:

90 * 4 = 3 * x

Simplifying:

360 = 3x

Now we divide both sides of the equation by 3:

360/3 = 3x/3

120 = x

Therefore, x = 120.

The correct answer is option B. 120.

More can be learned about proportions at;

brainly.com/question/24372153

#SPJ6

Step-by-step explanation:

6x-2+9y-3y-3x

6x-3x-2+9y-3y

3x-2+6y

Therefore its 3x-2+6y.

Answer:

B There should be lines drawn through the inner vertices as well

Step-by-step explanation:

The answer is B There should be lines drawn throu the inner verticesas well Because

those red lines are from inner vertices

Answer:

since there is no value for the dimensions of the tennis ball. The tennis ball is a sphere with a Surface Area 4pir²

Answer:

Ada is correct.

Step-by-step explanation:

Problems with Naman:

Naman is supposed to follow PEMDAS, which is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Division

Addition

Subtraction

~

The mistake: Naman moved +6 to the left and added it to the 2 located on the left side of the expression. You cannot do that, as it breaks the law of PEMDAS. On the other hand, Ada did the correct thing, which was to distribute 2 to all terms within the parenthesis (as one term in the parenthesis has a variable, and the other is a constant, meaning that they cannot be combined). This leads to Naman not doing the rest of the question correct.

Next, Ada correctly combined the two constants, which resulted in 0. 0 means nothing, therefore the placeholder is not needed. Therefore, 8x is the final answer.

Answer:

30%

Step-by-step explanation:

14+ 18+ 28 = 60

18/60 × 100 = 30%

Answer:

[tex] \frac{18}{60} = \frac{3}{10} = 30\%[/tex]

Step-by-step explanation:

Total token sample = 14 + 18 + 28 = 60

Frequency of blue:

[tex] = \frac{18}{60} \: [/tex]

[tex] = \frac{18}{60} \times 100\%[/tex]

[tex] = 30\%[/tex]

[tex]\\ \sf\longmapsto -7\dfrac{8}{45}[/tex]

[tex]\\ \sf\longmapsto \dfrac{45(-7)+8}{45}[/tex]

[tex]\\ \sf\longmapsto \dfrac{315+8}{45}[/tex]

[tex]\\ \sf\longmapsto \dfrac{323}{45}[/tex]

[tex]\\ \sf\longmapsto 7.1[/tex]

Answer:

10

Step-by-step explanation:

By using intersecting chord theorem:

NH.HT=MH.HY

(x+20)*8=12*20

x+20=12*20/8

x+20=240/8

x+20=30

x=30-20

x=10

Answer:

B

Step-by-step explanation:

[tex] \frac{2 - ( - 2)}{2} = 2[/tex]

maximum distance minus the minimum distance then divide everything by 2

:)

Answer:

q/b = r/c

Step-by-step explanation:

We can determine which equation is correct by looking at the similar angles

A ~ P and B ~ Q so the side length that is between these angles would be proportional which are :

r/c

Next up

C ~ R and again B ~ Q and the side length that is between these angles:

q/b

so the answer is

q/b = r/c as given in last option

Answer: a/b=r/c

Step-by-step explanation: i did the

Answer:

5.82

Step-by-step explanation:

0.582 x 10

=> Shift the decimal place by 1

=> 5.82

The required simplified value of the product is 5.82 and the value of 2 in the expression is 0.01 times.

To determine the value of 2 in the product of 0.582 times 10.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
According to the question,
Product = 10 * 0.582
Product = 5.82,
Where 2 is located at the thousandth place,
So, the value of 2 in 5.82 is 0.01 times of 2.

Thus, the required simplified value of the product is 5.82 and the value of 2 in the expression is 0.01 times.

Learn more about simplification here: https://brainly.com/question/12501526

#SPJ2

Answer:

You would shade the fourth quadrant (bottom right).

Step-by-step explanation:

Due to the domain and range sets, you're given the facts that x must be greater than or equal to 0, but y is less than or equal to zero. This gives you what quadrant the graph should be in. Since you're not given an equation to follow like y=ax+b, then I can not say that this will give you a line.

Answer:

C

Step-by-step explanation:

y and 67 are alternate exterior angles and are congruent , then

y = 67° → C