How do we solve this?

How Do We Solve This?

Answers

Answer 1

Answer:

f(x)=11+7√x

f'(x)=7/(2x^(1/2))

putting x=1

f'(1) = 7/(2×1^(1/2))

= 7/2 = 3.5

putting x=2

f'(2) = 7/(2×2^(1/2))

= 7/(2×√2)

= 7√2/4

= 2.47 (rounded to the nearest hundredth)

f'(3) = 7/(2×3^(1/2))

= 7/(2×√3)

= 7√3/6

= 2.02 (rounded to the nearest hundredth)


Related Questions


[tex] \frac{2}{4} + 5 \times 36 + 2 \frac{6}{3 } = [/tex]
what is answer ​

Answers

Step-by-step explanation:

[tex] \frac{2}{4} + 5 \times 36 + 2 \frac{6}{3} [/tex]

[tex] = \frac{1}{2} + 180 + 2 \times \frac{2}{1} [/tex]

[tex] = \frac{1}{2} + 180 + 4[/tex]

[tex] = \frac{1 + 360 + 8}{2} [/tex]

[tex] = \frac{369}{2} [/tex]

[tex] = 184 \frac{1}{2} \: or \: 184.5(ans)[/tex]

rationalize the denominator 2√7+√3/3√7-√3​

Answers

Answer:

[tex] \frac{2 \sqrt{7} + \sqrt{3}}{3 \sqrt{7} - \sqrt{3} } = \frac{2 \sqrt{7} + \sqrt{3}}{3 \sqrt{7} - \sqrt{3} } . \frac{3 \sqrt{7} + \sqrt{3} }{3 \sqrt{7} + \sqrt{3} } \\ \\ = \frac{(2 \sqrt{7} + 3)(3 \sqrt{7} + \sqrt{3}) }{(3 \sqrt{7} - 3)(3 \sqrt{7} + \sqrt{3} ) } \\ \\ = \frac{(42 + 2 \sqrt{21} + 9 \sqrt{21} + 3 \sqrt{21} )}{63 - 3} \\ \\ = \frac{42 + 2\sqrt{21} + 9 \sqrt{21} + 3 \sqrt{21} }{60} [/tex]

Answer:

(2√7+√3)/(3√7-√3)​ =(2√7+√3)(3√7+√3)​/(3√7-√3)​(3√7+√3)​ =(2*3*√7² + 2√21 + 3√21 + √3²)/(9√7² - √3²) =(42 + 3 + 5√21)/(63 - 3) = (45 + 5√21)/60 = (9 + √21)/12

√10 Multiple √15 is equal to

(a) 5√6

(b) 6√5

(c) √30

(d) √25

step by step






Solve :-​

Answers

Answer:

(a). 56

Step-by-step explanation:

[tex] \sqrt{10} \times \sqrt{15} \\ = \sqrt{150} \\ = \sqrt{25 \times 6} \\ = 5 \sqrt{6} [/tex]

The correct answer is A
5 radical 6

fernando charges a flat fee of 4.50 plus 2.00 per mile for his taxi service, when he got to the airport the cab fare was 12.50, how many miles did he cab travel

Answers

Answer:

4 miles, the cab travelled 4 miles.

Step-by-step explanation:

12.50 - 4.50 = 8

8/2.00 = 4


The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer
Janet and Michelle begin walking at the same time from the same point. Janet walks directly north, and Michelle walks directly ea
10 km apart, Michelle has walked 2 km farther than Janet has walked. How far has Michelle walked?
08 km
06 km
12 km
10 km

Answers

9514 1404 393

Answer:

  (a)  8 km

Step-by-step explanation:

Let m represent the distance (in kilometers) Michelle has walked. Then Janet walked a distance of (m-2). These distances are at right angles, so the distance between them can be found using the Pythagorean theorem.

  m² +(m -2)² = 10²

  m² +m² -4m +4 = 100

  2m² -4m = 96 . . . . . . subtract 4, collect terms

  m² -2m +1 = 49 . . . . . divide by 2 and add 1

  (m -1)² = 7² . . . . . . .write as squares

  m -1 = 7 . . . . . . positive square root

  m = 8

Michelle walked 8 km.

9 and -9 are examples of

A. absolute values
B.oposite integers
C. products
D. Quotients

Answers

Answer:

opposites

Step-by-step explanation:

9+-9 = 0

When they add to zero they are opposites

Answer:

Step-by-step explanation:

9 and -9 are examples of opposite integers

1km make how many cm​

Answers

Answer:

100000

Step-by-step explanation:

Can I please get asap

Answers

Answer:

Option B, cotangent is the reciprocal of tangent

That option is correct

The triangle below is equilateral. Find the length of side
x to the nearest tenth

Answers

Answer:

Step-by-step explanation:

The hypotenuse is 2 * sqrt(11) because all the sides are equal. 1/2 the base is given as root 11.

x^2 = (2*sqrt(11) )^2 - (sqrt(11) ) ^2

x^2 = 4 * 11 - 11

x^2 = 44 - 11

x^2 = 33

x = sqrt(33)

sqrt(33) = 5.744

sqrt(33) = 5.7 rounded to the nearest 1/10

I need help with this I will appreciate if I get an answer for this problem

Answers

Answer:

what's the problem!?......

angle CDT is the opposite angle of ADN

and the segment DF=FN, so AD= AN

and thats why angle FAN= angle FAD

here, Angle FAN =60,

therefore, FAD=60, and AFD = 90 so angle ADN must be 30 degree

and the opposite of ADN is CDT, and the opposite angles are equal.

Hope u got it.

Last minute question emergency please

Answers

Answer:

Mean; 762,143

Median; 800,000

Step-by-step explanation:

Mean;

Add all of the numbers together, then divide by how many there are.

There are seven home prices in total, add them together then divide by 7.

5,335,000 divided by 7 = 762,142.85714285; simplified to 762,143.

Median;

Organize the numbers from least to greatest

455,000, 780,000, 795,000, 800,000, 810,000, 840,000, 855,000

Then find the number in the middle

800,000

im giving you 30 points just help me :((((((((

Answers

N=4 have a good day



:))

Venn diagrams: unions, intersections, and complements

Attached is the photo reference

Answers

Answer:

a) 0

b) 2,3,4,5,6,7

c)3,4,6,7

Step-by-step explanation:

The population standard deviation for the heights of dogs, in inches, in a city is 3.7 inches. If we want to be 95% confident that the sample mean is within 2 inches of the true population mean, what is the minimum sample size that can be taken?
z0.101.282z0.051.645z0.0251.960z0.012.326z0.0052.576
Use the table above for the z-score, and be sure to round up to the nearest integer.

Answers

Answer:  14

========================================================

Explanation:

At 95% confidence, the z critical value is roughly z = 1.960

The population standard deviation is given to be sigma = 3.7

The error is E = 2 since we want to be within 2 inches of the population mean mu

The min sample size needed is:

n = (z*sigma/E)^2

n = (1.960*3.7/2)^2

n = 13.147876

n = 14

We always round up to the nearest whole number to ensure that we clear the hurdle (otherwise, the sample is too small). It doesn't matter that we're closer to 13 than to 14.

X
у
Which equation could be used to create the data shown in the
table?
1
5
O y = 5x
4
17
O y = 5x + 1
5
21
O y = 4x + 1
7
29
O y = x + 4
9
37

Answers

Answer:

C

Step-by-step explanation:

The equation that represents the table is y=4x+1

q= 3ym/2 make m the subject of the formula

Answers

Answer:

m = [tex]\frac{2q}{3y}[/tex]

Step-by-step explanation:

Given

q = [tex]\frac{3ym}{2}[/tex] ( multiply both sides by 2 to clear the fraction )

2q = 3ym ( isolate m by dividing both sides by 3y )

[tex]\frac{2q}{3y}[/tex] = m

Carmen Martinez
What is the slope of the line that passes through the point 4,4 and 10,7 write your answer in simplest form

Answers

(4,4)(10,7)

[tex]\boxed{\sf Slope(m)=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{7-4}{10-4}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{3}{6}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{1}{2}[/tex]

[tex]\\ \sf\longmapsto m\approx0.5[/tex]

Answer:

[tex]m=\frac{1}{2}[/tex]

Step-by-step explanation:

The slope of a line, also known as the change in the line or the ([tex]\frac{rise}{run}[/tex]) can be found using the following formula,

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where ([tex]x_1,y_1[/tex]) and ([tex]x_2,y_2[/tex]) are points on the line. Substitute the given information into the formula and solve for the slope.

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Points on the line: [tex](4,4)\ \ \ (10, 7)[/tex]

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{7-4}{10-4}[/tex]

[tex]m=\frac{3}{6}[/tex]

[tex]m=\frac{1}{2}[/tex]

[tex]m=0.5[/tex]

please help me with both questions

Answers

Answer:

(b) 829 seconds

(c) 13.8 minutes

Step-by-step explanation:

(b) 2.48×10⁸/2.99×10⁵ = 829 seconds

(c) 829/60 = 13.8 minutes

Pls helppppp,,,,,.....

Answers

Answer:

yall do school right now???and i forgot how to do these sorry

Answer:

18 = 2x-14

or, 2x =18+14

or, 2x =32

or, x=32/2

x=16

2(6x-7)=10

or, 12x-14=10

or, 12x=10+14

or, x=24/12

x=2

what is the decimal equivalent of 7/20

Answers

7/20 x 5= 35/100
35/100= .35

8. You recorded the time in seconds it took for 8 participants to solve a puzzle. The times were: 15.2, 18.8, 19.3, 19.7, 20.2, 21.8, 22.1, 29.4. a. Find the mean b. Find the median c. Write the 5-number summary for this data

Answers

Answer:

Xbar = 20.813

Median = 19.95

5 - number summary :

Minimum = 15.2

Q1 = 19.05; Q2 = 19.95 ; Q3 = 21.95 ; maximum = 29.4

Standard deviation, s = 4.068

Step-by-step explanation:

Given the data:

X : 15.2, 18.8, 19.3, 19.7, 20.2, 21.8, 22.1, 29.4

Ordered data:

15.2, 18.8, 19.3, 19.7, 20.2, 21.8, 22.1, 29.4

The mean (xbar) :

Xbar = Σx / n ; n = sample size = 8

Xbar = 166.8 / 8 = 20.8125

Xbar = 20.813

The median :

1/2 *(n+1)th term

1/2(9) = 4.5

(4 + 5)th term / 2

(19.7 + 20.2) / 2 = 19.95

The five number summary :

Minimum = 15.2

Lower quartile (Q1) = 1/4(9) = 2.25 ; (2nd + 3rd) term / 2

(18.8 + 19.3) / 2 = 19.05

Median (Q2) = 19.95

Upper quartile (Q3) :

3/4(9) = 6.75 = (6th + 7th) / 2

(21.8 + 22.1) / 2 = 21.95

Maximum = 29.4

The standard deviation, s = sqrt[(x - xbar)²/ (n-1)]

Using calculator ;

s = 4.068

Simplify.
10
3
(2.8 +1.2)
6
16
18.4
20
26

Answers

Answer:

see similar to the number of the number

I'm helping someone with her daughter's homework. What is the term for this definition: take a part a number to write it in a new way. In mcgraw hill my math grade 1

Answers

Answer:

hello mate.. i am glad ur helping someone for her hw.. nice nice

well as per my understanding

'' take apart a number to write it in a new way ''

this answer must be '' subtraction''

as in subtraction we take apart number and resulting number is new way of writing the difference of first 2 ....

go on.. help more ppl ... we are here to support

How high is a tree that cast a 26ft shadow at the same time a6ft post casts a shadow which is 11ft long

Answers

Set up a ratio:

6/11 = x/26

Cross multiply:

11x = 156

Divide both sides by 11:

X = 14.18 feet ( round answer as needed.)

The distance from the green point on the parabola to the parabolas focus is 11. What is the distance from green point to the directrix?

Answers

Answer:

answer 11

Step-by-step explanation:

I think it the right answer

x-(-4x-(y + y)); use x = -4, and y = -3 evaluate ​

Answers

x=-4 y=-3x-(-4x-(y+y))

= -4-(-4(-4)-(-3)+(-3))= -4-(16-(-3-3))= -4-(16-(-6))= -4-(22)= -4-22= -26

please mark this answer as brainlist

If you draw one card at random, what is the probability that card is a (n) Heart?

Answers

Answer:

1/13

Step-by-step explanation:

There are 52 cards in a deck of cards and 13 of them are hears

P(heart) = hearts / total

              = 13/52 = 1/13

Which is a perfect square?
6’1
6’2
6’3
6’5

Answers

Answer:

6'2

Step-by-step explanation:

6’3 is the answer I believe



If ABCD is a rectangle, and m_ADB = 55°, what is the value of x? A. 80 O B. 90 O C. 40 O D. 70 O E. 110​

Answers

Answer:  D) 70

===========================================================

Explanation:

Label a new point E at the intersection of the diagonals. The goal is to find angle CEB. Notice how angle AED and angle CEB are vertical angles, so angle AED is also x.

Recall that any rectangle has each diagonal that is the same length, and each diagonal cuts each other in half (aka bisect). This must mean segments DE and AE are the same length, and furthermore, triangle AED is isosceles.

Triangle AED being isosceles then tells us that the base angles ADE and DAE are the same measure (both being 55 in this case).

---------------------

To briefly summarize so far, we have these interior angles of triangle ADE

A = 55D = 55E = x

For any triangle, the three angles always add to 180, so,

A+D+E = 180

55+55+x = 180

110+x = 180

x = 180-110

x = 70

Find a 2-digit number smaller than 50, the sum of whose digits does not change after being multiplied by a number greater than 1

Answers

To solve this question, it is needed to know that the sum of the digits of numbers which are multiples of 9 greater than 1, add to 9, that is:

Multiples of 9:

9*1 = 9

9*2 = 18 -> 1 + 8 = 9

9*3 = 27 -> 2 + 7 = 9

9*4 = 36 -> 3 + 6 = 9

9*5 = 45 -> 4 + 5 = 9

Find a number:

Thus, there are 4 possible options for the desired 2-digit number less than 50:

18, 27, 36, 45.

For more, you can check https://brainly.com/question/24294485

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