let f(x)=x^7-4e^x

A) f'(-1)
b)f''(-1)

You already did. That is a true statement.

32 > 29 [and vice versa]

I am joyous to assist you anytime.

The inequality 29 < 32 is true.

After calculating 36 - 7 which equals 29, we compare this result to 32. The inequality 29 < 32 holds true, so the original inequality 36 - 7 < 32 is correct.

The student has asked to solve the inequality 36 - 7 < 32. To solve this inequality, we need to perform the subtraction on the left side of the inequality first.

When we calculate 36 - 7, we get 29. Now we can compare this result to 32 to determine if the inequality holds true.

Since we are dealing with an inequality, we know that if a value a is less than a value b, then a is indeed smaller in quantity or value compared to b. Here, 29 is indeed less than 32. Therefore, the inequality 29 < 32 is true.

Answer:

Step-by-step explanation:

AC is a midsegment of the trapezoid DFBE.

The formula of a midsegment of trapezoid is:

[tex]m=\dfrac{a+b}{2}[/tex]

a, b - bases of a triangle

We have

a = x, b = 4.4, m = 5.5

Substitute:

[tex]5.5=\dfrac{x+4.4}{2}[/tex]          multiply both sides by 2

[tex]11=x+4.4[/tex]       subtract 4.4 from both sides

[tex]6.6=x\to x=6.6[/tex]

Answer:

A

Step-by-step explanation:

Calculate the midpoint using the midpoint formula

[ 0.5(x₁ + x₂ ), 0.5(y₁ + y₂ ) ]

with (x₁, y₁ ) = (- 1, 5) and (x₂, y₂ ) = (5, 5)

midpoint = [ 0.5(- 1 + 5), 0.5(5 + 5) ]

              = [ 0.5(4), 0.5(10) ] = (2, 5 ) → A

Answer:

The answer would be A 2,5

Step-by-step explanation:

[tex]-8(5x+5)+9x(10x+9)=20\\-40x-40+90x^2+81x-20=0\\90x^2+41x-60=0\\\\\Delta=41^2-4\cdot90\cdot(-60)=1681+21600=23281\\\\x=\dfrac{-41\pm \sqrt{23281}}{2\cdot90}=\dfrac{-41\pm \sqrt{23281}}{180}[/tex]

Answer:

It's 53.

Step-by-step explanation:

Let the number be xy so the digits are x and y, so:

x + y = 8...........(1)

Reversing the 2 digits we have the number 10y + x and this equals

10x + y - 18 so we have the equation:-

10x + y - 18 = 10y + x

9x - 9y = 18

x - y = 2...........(2)   Adding equations (1) and (2) we have:

2x = 10

x = 5

and y = 8 - 5 = 3.

So the original number is  53.

We can check this  as follows

Original number is 53 so the reverse is 35 .

53 - 35 = 18  which checks out.

Answer:

log[3(x+4)] is equal to log(3) + log(x + 4), which corresponds to choice number three.

Step-by-step explanation:

By the logarithm product rule, for two nonzero numbers [tex]a[/tex] and [tex]b[/tex],

[tex]\log{(a \cdot b)} = \log{(a)} + \log{(b)}[/tex].

Keep in mind that a logarithm can be split into two only if the logarithm contains the product or quotient of two numbers.

For example, [tex]3(x + 4)[/tex] is the number in the logarithm [tex]\log{[3(x + 4)]}[/tex]. Since [tex]3(x + 4)[/tex] is a product of the two numbers [tex]3[/tex] and [tex](x + 4)[/tex], the logarithm [tex]\log{[3(x + 4)]}[/tex] can be split into two. By the logarithm product rule,

[tex]\log{[3(x + 4)]} = \log{(3)} + \log{(x + 4)}[/tex].

However, [tex]\log{(x + 4)}[/tex] cannot be split into two since the number inside of it is a sum rather than a product. Hence choice number three is the answer to this question.

Answer:

c

Step-by-step explanation:

Answer:

-5/4

Step-by-step explanation:

The average rate of change of f from x=0 to x=4 is_____.

This means we are being asked to evaluate [tex]\frac{f(4)-f(0)}{4-0}[/tex].

To do this we will need to find f(0) and f(4).

f(0) means what y-coordinate corresponds to x=0 on the curve.  Find x=0, the curve is above there, go straight up and see  y=5 there.  This means f(0)=5.

f(4) means what y-coordinate corresponds to x=4 on the curve. Find x=4, then curve is above there, go straight up and see y=0 there.  This means f(4)=0.

So we have:

[tex]\frac{f(4)-f(0)}{4-0}=\frac{0-5}{4-0}=\frac{-5}{4}[/tex].

Answer:

[tex]x < 10[/tex]

Step-by-step explanation:

[tex]2x - 8 < 12 \\ 2x - 8 + 8 < 12 + 8 \\( 2x < 20) \div 2 = x < 10[/tex]

x<10 is the solution to the inequality 2x - 8 < 12

To solve the inequality 2x - 8 < 12, you can follow these steps:

Add 8 to both sides of the inequality:

2x - 8 + 8 < 12 + 8

This simplifies to:

2x < 20

Divide both sides of the inequality by 2:

(2x)/2 < 20/2

This simplifies to:

x < 10

Therefore, the solution to the inequality 2x - 8 < 12 is x < 10.

Learn more about inequalities here:

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as you may already know, the inverse of a function has the same exact x,y pairs but backwards, namely f(x)'s domain is f⁻¹(x)'s range.

[tex]\bf \stackrel{f(x)}{\begin{array}{|cc|ll} \cline{1-2} \stackrel{domain}{x}&\stackrel{range}{y}\\ \cline{1-2} 3&4\\ 4&3\\ -2&6\\ \cline{1-2} \end{array}}~\hspace{10em} \stackrel{inverse~of~f(x)}{\begin{array}{|cc|ll} \cline{1-2} \stackrel{domain}{x}&\stackrel{range}{y}\\ \cline{1-2} 4&3\\ 3&4\\ 6&-2\\ \cline{1-2} \end{array}}[/tex]

Answer:

By 2.

Step-by-step explanation:

You need to eliminated the x-terms, so the first step is to focus only in those terms.

So yo have 4x and -2x, since you are thinking in eliminate then you have this equation>

[tex]4-2*K=0[/tex]

Note that we dont put the x variable, since we are studying its coefficients in the equations system.

Solving for K, Gives us that K=2

So.

Multiplying the second equation by 2 results in

[tex]-4x+6y=8[/tex]

When you put them together, it gives you the following

[tex]4x-9y -4x+6y- 7+8[/tex]

and the final equation is

[tex]-3y=15\\[/tex]

giving you the answer for y, that is [tex]y=-5[/tex]

Answer: 2 and 3.

Step-by-step explanation:

All except combine like terms. Since you only have 1 variable.

Hope this helps.

r3t40

Answer:

[tex]\large\boxed{y-5=-4(x-3)}\\\boxed{y-8=\dfrac{1}{2}(x+1)}[/tex]

Step-by-step explanation:

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

[tex]m=-4,\ (3,\ 5)\\\\y-5=-4(x-3)[/tex]

[tex]m=\dfrac{1}{2},\ (-1,\ 8)\\\\y-8=\dfrac{1}{2}(x-(-1))\\\\y-8=\dfrac{1}{2}(x+1)[/tex]

Answer:

It is 132 just took it

Step-by-step explanation:

Each of the pairs of opposite angles made by two intersecting lines is called a vertical angle. The measure of ∠AOE is 132°. The correct option is B.

Each of the pairs of opposite angles made by two intersecting lines is called a vertical angle.

In circle O, AD and BE are diameters. Also, the measure of ∠EOD and ∠AOB will be equal because the two angles are vertically opposite angles. Therefore,

∠EOD = ∠AOB = 3x

As it is given that the measure of ∠AOC is 90°. Therefore, we can write,

∠AOC = ∠AOB + ∠BOC

90 = 3x + 0.5x + 34

56 = 3.5x

x = 16

Now, the measure of ∠EOD will be,

∠EOD = 3x

∠EOD = 3(16°)

∠EOD = 48°

Further, we can write,

∠AOD = ∠AOE + ∠EOD

180° = ∠AOE + 48°

∠AOE = 132°

The complete question is mentioned in the below image.

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Answer:

98.518 repeating prercent

Step-by-step explanation:

2 out of 135 can also be written as 2/135

2 divided by 135 is 0.014814814814

that number is the percentage of failures

100% in decimal form is 1.00

1.00 subtracted by the percentage of failures is the percentage of successes

which is .98518518518, 518 repeating move the decimal over 2 and you got the percentage 98.518 repeating

166

27 + 42 + 21 + 76 = 166

Answer: A. y=(1/2)^x+6

Step-by-step explanation: If this is the graph you’re talking about-

When “a” is less than one, the graph increases exponentially to the left. The smaller the value of a, the steeper the slope of the line.

There is a vertical shift up 6 as well

Answer:

7/11

Step-by-step explanation:

Two events are disjoint events if they cannot occur at the same time. It is given that A and B are disjointed events, so A and B cannot occur at the same time i.e. the intersection of two disjoint events will be 0.

For two disjoint events A and B:

P(A or B) = P(A) + P(B)

P(A) is given to be 4/11 and P(B) is given to be 3/11. Using these values in the equation, we get:

P(A or B) = [tex]\frac{4}{11}+\frac{3}{11} = \frac{3+4}{11}=\frac{7}{11}[/tex]

Answer:

C.  6√2.

Step-by-step explanation:

Since this is a right angled isosceles triangle bot legs are 6 units long

So h^2 = 6^2 + 6^2 = 72

h = √72 = 6√2.

Answer:

The correct option is C) 6√2.

Step-by-step explanation:

Consider the provided triangle.

The provided triangle is a right angle triangle, in which two angles are 45° and one is 90°.  

As both angles are equal there opposite side must be equal.

Thus, the leg of another side must be 6.

Now find the hypotenuse by using Pythagorean theorem:

[tex]a^2+b^2=c^2[/tex]

Substitute a = 6 and b = 6 in [tex]a^2+b^2=c^2[/tex].

[tex](6)^2+(6)^2=(c)^2[/tex]

[tex]36 + 36=(c)^2[/tex]

[tex]72=(c)^2[/tex]

[tex]6\sqrt{2}=c[/tex]

Hence, the length of the hypotenuse in the right triangle is 6√2.

Therefore, the correct option is C) 6√2.

Answer:

[tex]\frac{-11}{25}+\frac{-27}{25}i[/tex] given you are asked to simplify

[tex]\frac{-3+5i}{-3-4i}[/tex]

Step-by-step explanation:

You have to multiply the numerator and denominator by the denominator's conjugate.

The conjugate of a+bi is a-bi.

When you multiply conjugates, you just have to multiply first and last.

(a+bi)(a-bi)

a^2-abi+abi-b^2i^2

a^2+0         -b^2(-1)

a^2+-b^2(-1)

a^2+b^2

See no need to use the whole foil method; the middle terms cancel.

So we are multiplying top and bottom of your fraction by (-3+4i):

[tex]\frac{-3+5i}{-3-4i} \cdot \frac{-3+4i}{-3+4i}=\frac{(-3+5i)(-3-4i)}{(-3-4i)(-3+4i)}[/tex]

So you will have to use the complete foil method for the numerator. Let's do that:

(-3+5i)(-3+4i)

First: (-3)(-3)=9

Outer::  (-3)(4i)=-12i

Inner: (5i)(-3)=-15i

Last: (5i)(4i)=20i^2=20(-1)=-20

--------------------------------------------Combine like terms:

9-20-12i-15i

Simplify:

-11-27i

Now the bottom (-3-4i)(-3+4i):

F(OI)L (we are skipping OI)

First:-3(-3)=9

Last: -4i(4i)=-16i^2=-16(-1)=16

---------------------------------------------Combine like terms:

9+16=25

So our answer is [tex]\frac{-11-27i}{25}{/tex] unless you want to seprate the fraction too:

[tex]\frac{-11}{25}+\frac{-27}{25}i[/tex]

Answer:

12 pounds

Step-by-step explanation:

After trimming:

50 − 0.40 (50) = 0.60 (50) = 30

After cooking:

30 − 0.60 (30) = 0.40 (30) = 12

Answer:

13

Step-by-step explanation:

(f∘g)(4) is another way of writing f(g(4)).

First, find g(4).

g(x) = 2x − 3

g(4) = 2(4) − 3

g(4) = 5

Now substitute into f(x).

f(x) = 4x − 7

f(g(4)) = 4g(4) − 7

f(g(4)) = 4(5) − 7

f(g(4)) = 13

[tex](f\circ g)(x)=4(2x-3)-7=8x-12-7=8x-19\\\\(f\circ g)(4)=8\cdot4-19=13[/tex]

Answer:

9 : 16

Step-by-step explanation:

Given 2 similar figures with linear ratio = a : b, then

area ratio = a² : b² and

volume ratio = a³ : b³

Here the volume ratio = 27 : 64, hence

linear ratio = [tex]\sqrt[3]{27}[/tex] : [tex]\sqrt[3]{64}[/tex] = 3 : 4

Hence area ratio = 3² : 4² = 9 : 16

Answer:

Answer in factored form (3x+10)(2x+6)

Answer in standard form 6x^2+38x+60 ( I bet you they want this answer)

Step-by-step explanation:

The assumption is this is a rectangle.

If you have the dimensions of a rectangle are L and W, then the area is equal to L times W.

So here we just need to multiply (3x+10) and (2x+6).

The answer in factored form is (3x+10)(2x+6).

I bet you they want the answer in standard form.

So let's use foil.

First: 3x(2x)=6x^2

Outer: 3x(6)=18x

Inner: 10(2x)=20x

Last: 10(6)=60

----------------Add up!

6x^2+38x+60

The area of the window is 3x² + 19x + 30

The dimension of the window are  3x + 10 and 2x + 6.

The area of the window can be calculated as follows;

area = lw

Therefore,

area = (3x + 10)(2x + 6)

area = 6x² + 18x + 20x + 60

area = 6x² + 38x + 60

area  = 3x² + 19x + 30

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[tex]\huge{\boxed{\text{9,000 meters}}}[/tex]

There are 1,000 meters in each kilometer, so multiply to find the daily number of meters.  [tex]3*1000=3000[/tex]

Multiply this by 3 to find the number of meters Rowena walks in three days.  [tex]3000*3=\boxed{9000}[/tex]

Answer:

x= -3.75

Step-by-step explanation:

Answer:

x = -15/4

Step-by-step explanation:

7(x+6)=3(x+9)

Distribute

7x+42 = 3x+27

Subtract 3x from each side

7x-3x+42 = 3x-3x+27

4x +42 = 27

Subtract 42 from each side

4x+42-42 = 27-42

4x =-15

Divide each side by 4

4x/4 =-15/4

x = -15/4

Answer:

8.8.8.

Step-by-step explanation:

8.8.8  = 8^3  = 512    Perfect cube.

8+8+8 =24

9.9.9.9 = 6561

9+9+9+9+9 = 45.

None of the others are perfect cubes.

Answer:A 8.8.8

Step-by-step explanation:i did the quiz

Answer:

T10= -21

Step-by-step explanation:

If Sn=n^2+3 then t10=?

Sn= n²+5

put n=1, 2

S1= T1 =  (1)²+5

=1+5 =6

S2= n²+5

S2=(2)²+5

S2=4+5

S2=9

T2 = S2 - S1

T2 = 9-6

T2=3

T10 = a+(n-1)d

where a = 6, d = -3, n=10

T10= 6+(10-1)*-3

T10=6+(9)*-3

T10=6+(-27)

T10=6-27

T10= -21

Therefore T10= -21 ....

Angle BCA

Step-by-step explanation:

You can see this due to the angle having the name amount of congruent angle marks.

Answer:

It is C. Multiply each side by negative one over five , subtract 25 from each side.

Hope this helped you! :3

Answer:

D;Multiply each side by −5, add 25 to each side

Step-by-step explanation:

-1/5 (x − 25) = 7

To solve this equation, we will first multiply both-side of the equation by -5

-5 × -1/5(x-25) =7 × 5

(At the left-hand side of this equation, the  5 we multiplied will cancel the 5 at the denominator, leaving us with just '1' since negative multiply by negative is positive), Hence our equation becomes;

(x - 25) = 35

x - 25 = 35

Then the next thing to do is to add 25 to both-side of the equation in other to get the value of your x

x -25 + 25 = 35 + 25

x=60

Therefore,  option D is the correct sequence of operation to follow to enable you solve the equation.

Answer:

Triangle APB is an isosceles triangle ⇒ 3rd answer

Step-by-step explanation:

* Lets explain the how to solve the problem

- ABCD is a square

∴ AB = BC = CD = AD

∴ m∠A = m∠∠B = m∠C = m∠D = 90°

- DPC is equilateral triangle

∴ DP = PC = DC

∴ m∠DPC = m∠PCD = m∠CDP = 60°

- In the Δs APD , BPC

∵ AD = BC ⇒ sides of the square

∵ PD = PC ⇒ sides of equilateral triangle

∵ m∠ADB = m∠BCP = 30° (90° - 60° = 30) ⇒ including angles

∴ Δs APD , BPC are congregant ⇒ SAS

- From congruent

∴ AP = BP

∴ Triangle APB is an isosceles triangle