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

A line passes through point (5, –3) and is perpendicular to the equation y = x. What's the equation of the line? Question 26 options: a) y = x b) y = –x – 7 c) y = x + 3 d)y = –x + 2

Answers

Answer:

sorry my bad bro I have no clue

Can you help me please,
?

Answers

She performed better on her act she scored a higher z score on it, on her sat she received a z score of 1.4 and on her act she received a z score of 1.5

An inlet pipe can fill an empty swimming pool in 5hours, and another inlet pipe can fill the pool in 4hours. How long will it take both pipes to fill the pool?

Answers

Answer:

It will take 2 hours, 13 minutes and 20 seconds for both pipes to fill the pool.

Step-by-step explanation:

Given that an inlet pipe can fill an empty swimming pool in 5hours, and another inlet pipe can fill the pool in 4hours, to determine how long it will take both pipes to fill the pool, the following calculation must be performed:

1/5 + 1/4 = X

0.20 + 0.25 = X

0.45 = X

9/20 = X

9 = 60

2 = X

120/9 = X

13,333 = X

Therefore, it will take 2 hours, 13 minutes and 20 seconds for both pipes to fill the pool.

6(x+8)=-36 what does x equal

Answers

Answer:

Step-by-step explanation:

6(x+8) = -36

divide both sides by 6: x+8 = -6

subtract 8 from both sides: x = -14

Answer:

6(x+8)=-36

6x+48=-36

6x=84

x=14

Consider A Triangle ABC. Suppose That A= 119 Degrees, B=53, And C=57. Solve The Traingle

Answers

9514 1404 393

Answer:

  a = 94.8, B = 29.3°, C = 31.7°

Step-by-step explanation:

Side 'a' can be found using the Law of Cosines:

  a² = b² +c² -2bc·cos(A)

  a = √(2809 +3249 -6042·cos(119°)) ≈ √8987.22 ≈ 94.8

Then one of the other angles can be found from the Law of Sines.

  sin(C)/c = sin(A)/a

  C = arcsin(c/a·sin(A)) ≈ arcsin(0.525874) ≈ 31.7°

Then the remaining angle can be found to be ...

  B = 180° -A -C = 180° -119° -31.7° = 29.3°

__

The solution is a ≈ 94.8, B ≈ 29.3°, C ≈ 31.7°.

Find the equation, in slope-intercept form, of the line passing through the point (2,5) and perpendicular to the line 2x + y = 7

Answers

Answer:

[tex]y=\displaystyle\frac{1}{2}x+4[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-interceptPerpendicular lines always have slopes that are negative reciprocals (examples: 1/2 and -2, 3/4 and -4/3)

1) Determine the slope (m)

[tex]2x + y = 7[/tex]

Reorganize the given equation into slope-intercept form; subtract 2x from both sides to isolate y:

[tex]2x + y-2x = -2x+7\\y= -2x+7[/tex]

Now, we can easily identify the slope of the line to be -2. Because perpendicular lines always have slopes that are negative reciprocals, the slope of a perpendicular line would be [tex]\displaystyle\frac{1}{2}[/tex]. Plug this into [tex]y=mx+b[/tex]:

[tex]y=\displaystyle\frac{1}{2}x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=\displaystyle\frac{1}{2}x+b[/tex]

Plug in the given point (2,5) and solve for b:

[tex]5=\displaystyle\frac{1}{2}(2)+b\\\\5=1+b[/tex]

Subtract 1 from both sides to isolate b:

[tex]5-1=\displaystyle\frac{1}{2}(2)+b-1\\4=b[/tex]

Therefore, the y-intercept of the line is 4. Plug this back into [tex]y=\displaystyle\frac{1}{2}x+b[/tex]:

[tex]y=\displaystyle\frac{1}{2}x+4[/tex]

I hope this helps!

Angles are not necessarily drawn to scale.

X=?

Answers

Answer:

x = 76

Step-by-step explanation:

A line has an angle measurement of 180 degrees.

Knowing that, let's first find the angle measurement of DIJ:

180 - 107 = 73

Angle DIJ has an angle measurement of 73

To find the angle measurement of DJI, we have to apply knowledge of angles in a triangle. When you add all the angles in a triangle, they ALWAYS equal to 180 degrees.

Using that knowledge, we can add 73 and 31 and subtract that value from 180:

73 + 31 = 104

180 - 104 = 76

The angle measurement of Angle DJI is 76.

Because vertical angles are ALWAYS going to have the same angle measurement, Angle AJF is going to have an angle measurement of 76 as well.

So x = 76

Hope that helps (●'◡'●)

Solve the following system of equations
x^2+2y^2=59
2x^2+y^2=43
(x ,y), (x, y) (x, y) (x, y)

Answers

Answer:

(-3,5),(-3,-5),(3,5),(3,-5)

Step-by-step explanation:

i changed my answer :)

Consider the following results for two independent random samples taken from two populations.

Sample 1 Sample 2
n1=50 n2=35
x¯1=13.6 x¯2=11.6
σ1=2.2 σ2=3.0

Required:
a. What is the point estimate of the difference between the two population means?
b. Provide a 90% confidence interval for the difference between the two population means.
c. Provide a 95% confidence interval for the difference between the two population means.

Answers

Answer:

a. 2

b. The 90% confidence interval for the difference between the two population means is (1.02, 2.98).

c. The 95% confidence interval for the difference between the two population means is (0.83, 3.17).

Step-by-step explanation:

Before solving this question, we need to understand the central limit theorem and the subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Sample 1:

[tex]\mu_1 = 13.6, s_1 = \frac{2.2}{\sqrt{50}} = 0.3111[/tex]

Sample 2:

[tex]\mu_2 = 11.6, s_2 = \frac{3}{\sqrt{35}} = 0.5071[/tex]

Distribution of the difference:

[tex]\mu = \mu_1 - \mu_2 = 13.6 - 11.6 = 2[/tex]

[tex]s = \sqrt{s_1^2+s_2^2} = \sqrt{0.3111^2+0.5071^2} = 0.595[/tex]

a. What is the point estimate of the difference between the two population means?

Sample difference, so [tex]\mu = 2[/tex]

b. Provide a 90% confidence interval for the difference between the two population means.

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

The margin of error is:

[tex]M = zs = 1.645(0.595) = 0.98[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 2 - 0.98 = 1.02

The upper end of the interval is the sample mean added to M. So it is 2 + 0.98 = 2.98

The 90% confidence interval for the difference between the two population means is (1.02, 2.98).

c. Provide a 95% confidence interval for the difference between the two population means.

Following the same logic as b., we have that [tex]Z = 1.96[/tex]. So

[tex]M = zs = 1.96(0.595) = 1.17[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 2 - 1.17 = 0.83

The upper end of the interval is the sample mean added to M. So it is 2 + 1.17 = 3.17

The 95% confidence interval for the difference between the two population means is (0.83, 3.17).

Which table represents a relation that's a non-function?

Answers

Answer:

The table in the attachment is the right option

Step-by-step explanation:

A table that represents a function must have exactly one y-value assigned to every x-value. In other words, a table that is a function cannot have any x-value (input) with two corresponding different y-values (outputs).

The table in the attachment below represents a relation that is non-function because it has two outputs, 5 and 7, that are assigned or corresponding to one input, 7.

What is this can someone help

Answers

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

see this attachment ☝

please see the question and solve plz​

Answers

Answer:

Step-by-step explanation:

sin²β + sin²β×tan²β = tan²β

sin²β( 1 + tan²β ) = tan²β

~~~~~~~~~~~~~~~~

sin²β + cos²β = 1  

[tex]\frac{sin^2\beta }{cos^2\beta }[/tex] + [tex]\frac{cos^2\beta }{cos^2\beta }[/tex] = [tex]\frac{1}{cos^2\beta }[/tex] ⇒ tan²β + 1 = sec²β ⇔ 1 + tan²β = sec²β

~~~~~~~~~~~~~~

1 + tan²β = [tex]\frac{1}{cos^2 \beta }[/tex]

L.H. = sin²β ( [tex]\frac{1}{cos^2 \beta }[/tex] ) = tan²β

R.H. = tan²β

A recipe calls for 2 1/2 tablespoons of oil and 3/4 tablespoons of vinegar. What is the ratio of oil to vinegar in this recipe?

Answers

Answer:

10:3

Step-by-step explanation:

Make 2 1/2 an improper fraction, you will get 5/2. You dont have to do anything to the 3/4.

For you to find the ratio of an fraction, you have to take the numerator but the denominator has to be the same.

So make 5/2 to a 10/4.

Take the numerator 10 & 3.

Your answer will be 10:3

No problem.

If x is 6, then 7x =

Answers

Hi!

x = 6

7x = 7 · 6 = 42

Answer:

42 is the answer.

Step-by-step explanation:

x = 6

7x

= 7 ( 6 )

= 42

A teacher claims that over 5% of statistics students have cheated in his classes in the past few years. In a random sample of 350 statistics students, he has caught 25 students cheating in the past few years. Is there enough evidence to support the teacher’s claim?

Answers

Answer:

no

Step-by-step explanation:

Which function describes this graph? (CHECK PHOTO FOR GRAPH)

A. y = x^2 + 7x+10
B. y = (x-2)(x-5)
C. y = (x + 5)(x-3)
D.y = x^2+5x+12

Answers

Answer:

Option A. y = x² + 7x + 10

Step-by-step explanation:

We'll begin calculating the roots of the equation from the graph.

The roots of the equation on the graph is where the curve passes through the x-axis.

The curve passes through the x-axis at –5 and –2

Next, we shall determine the equation. This can be obtained as follow:

x = –5 or x = –2

x + 5 = 0 or x + 2 = 0

(x + 5)(x + 2) = 0

Expand

x(x + 2) + 5(x + 2) = 0

x² + 2x + 5x + 10 = 0

x² + 7x + 10 = 0

y = x² + 7x + 10

Thus, the function that describes the graph is y = x² + 7x + 10

1. Write a variable expression that matches the following situation: Marguerite wants to put a garland around her garden. If the length of the garden is 50 meters and the width of the garden is 2 more than the length, what is the perimeter of the garden?​

Answers

Answer:

3x2,−23y,√5m, 3 x 2 , − 2 3 y , 5 m

Step-by-step explanation:

that is the answer i think

I need help understanding how to get the answer.

Answers

Answer:

-157.87

Step-by-step explanation:

1) the rules are:

[tex]log_a(bc)=log_ab+log_ac;[/tex]

and

[tex]log_ab^c=c*log_ab.[/tex]

2) according to the rules above:

[tex]log_7(yz^8)=log_7y+8log_7z=-6.19-8*18.96=-157.87.[/tex]

Which number are between 9.23 and 9.25

Answers

Answer:

9.24

Step-by-step explanation:

Bob's truck averages 23 miles per gallon. If Bob is driving to his mother's house, 72 miles away, how many gallons of gas are needed? Round to the nearest tenth.

Answers

Answer:

3.1 gallons

Step-by-step explanation:

To solve this, we need to figure out how many gallons of gas go into 72 miles. We know 23 miles is equal to one gallon of gas, and given that the ratio of miles to gas stays the same, we can say that

miles of gas / gallons = miles of gas / gallons

23 miles / 1 gallon = 72 miles / gallons needed to go to Bob's mother's house

If we write the gallons needed to go to Bob's mother's house as g, we can say

23 miles / 1 gallon = 72 miles/g

multiply both sides by 1 gallon to remove a denominator

23 miles = 72 miles * 1 gallon /g

multiply both sides by g to remove the other denominator

23 miles * g = 72 miles * 1 gallon

divide both sides by 23 miles to isolate the g

g = 72 miles * 1 gallon/23 miles

= 72 / 23 gallons

≈ 3.1 gallons

any earthling wanna help with this please??

Answers

Step-by-step explanation:

the right answer is A option

Answer:

the answer is a

Step-by-step explanation:

bc i took the test

A class consists of 66 women and 98 men. If a student is randomly selected, what is the probability that the student is a woman

Answers

Answer:

write anser is 33/49 1 st one.

Step-by-step explanation:

hope it helps you

Please see attached for the question. The graph illustrates a normal distribution for the prices paid for a particular model of HD television. The mean price paid is $1400 and the standard deviation is $95.

Answers

Answer:

1. 2.1%

2. 47.7%

3. 68.2%

4. 34.1%

5. 49.9%

6. 0.1%

These values may be rounded differently depending on set rounding limits.

A quiz consists of 10 multiple-choice questions, each with 4 possible answers, only one of which is correct. A student who does not attend lectures on a regular basis has no clue what the answers are, and therefore uses an independent random guess to answer each of the 10 questions. What is the probability that the student gets at least one question right

Answers

Answer:

.943686485

Step-by-step explanation:

1=p(0)+p(1)+p(2)+p(3)+.....p(10)

1-p(0)=P(1)+p(2)+p(3)+....p(10)

or

1-p(0)= p(at least one)

p(0)=

[tex]{10\choose0}*.25^0*.75^{10}=.056313515[/tex]

1-.056313515=.943686485

PLEASE HELP AND BE RIGHT BEFORE ANSWERING

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Since point P is the center of dilation, it doesn't move. (It is "invariant.") The other points on the figure move to 1/4 of their original distance from P. On this diagram, it is convenient that the distances are all multiples of 4 units, so dividing by 4 is made easy.

Factor the trinomial x^2-8x-65

Answers

Step-by-step explanation:

here's the answer to your question

A strawberry and banana juice blend is made with a ratio of strawberry to banana of 2:3. Fill in the table to show different proportional amounts

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

Let

[tex]s \to Strawberry[/tex]

[tex]b \to Banana[/tex]

So:

[tex]s:b = 2:3[/tex]

Required

Complete the table

The table, to be complete, is not given; so, I will generate one myself.

The table is generated as follows:

Multiply by 1.5

[tex]s : b = 3 : 4.5[/tex]

Multiply by 2

[tex]s : b = 2*2 : 2 * 3[/tex]

[tex]s : b = 4 : 6[/tex]

And so on....

In summary, whatever factor is multiplied to S must be multiplied to B

The restrictions for f(x)=2x+3/x^2−4 are ±2


True

False

Answers

Answer:  True

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

Explanation:

If you meant to say [tex]f(x) = \frac{2x+3}{x^2-4}[/tex], then we cannot have x^2-4 equal to 0

We can never have 0 in the denominator.

Set the expression equal to 0 and solve for x

x^2 - 4 = 0

(x-2)(x+2) = 0 .... difference of squares rule

x-2 = 0 or x+2 = 0

x = 2 or x = -2

So if either x = 2 or x = -2, then we have x^2-4 equal to zero.

So these are the values we must kick out of the domain to avoid a division by zero error.

In short, the restrictions for x are 2 and -2. That's why the statement is true.

HELP!!!!!!!!!!! SOMEONE PLEASE HELP!!!

For the graph below, which of the following is a possible function for h?


A) h(x) = 4-x



B) h(x) = 2x



C) h(x) = 5x



D) h(x) = 3x

Answers

9514 1404 393

Answer:

  C)  h(x) = 5^x

Step-by-step explanation:

h(x) is shown on the graph as having the highest rate of growth. That means, relative to the other functions, the base of the exponential is larger. Of the choices offered, the one with the largest growth factor is ...

  h(x) = 5^x

_____

The general form of an exponential function is ...

  f(x) = (initial value) · (growth factor)^x

I really need help big time thank you

Answers

1) 2x² -5x+12
2) x² +7x+10
3) 3x² +5x-2
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