Let f(x)=6−2+2e−0.3x . What is f(−4) ?

Answers

Answer 1

Answer:

f(-4) = 10.636

Step-by-step explanation:

In this problem we need to substitute and add together the remaining terms

f(x)=6−2+2e−0.3x

If we simplify

f(x) = (6−2) +2e−0.3x

f(x) = (4) +2e − 0.3x

We substitute the value for e (Euler's number)

e = 2.718

f(x) = (4) +2(2.718) − 0.3x

f(x) = (4) + 5.436 − 0.3x

f(x) = 9.436 -0.3*x

We just need to substitute for x = -4  ,  to get f(-4)

f(-4) = 9.436 -0.3*(-4)

f(-4) = 9.436 + 1.2

f(-4) = 10.636

Answer 2

Answer: 1.3

Step-by-step explanation:


Related Questions

The revenue from selling x necklaces is r(x) -10x. The cost of buying x necklaces is c(x) 4x 15 The profit from selling x necklaces is px) -x)-c) Write a function for p(x), the profit from selling x necklaces.
O A. p(x) 6x 15
O B. p(x) -14x-15
O C p(x) -14x + 15
O D. p(x)- 6x -15

Answers

Answer:

The correct answer is B) p(x) = -14x - 15

Step-by-step explanation:

To find this, start by writing the function as indicated.

p(x) = r(x) - c(x)

Now input the functions into the appropriate spots.

p(x) = -10x - (4x + 15)

p(x) = -10x - 4x - 15

p(x) = -14x - 15

Answer:

[tex]P(x) =14x-15[/tex]

Step-by-step explanation:

The revenue from selling x necklaces [tex]r(x)= -10x[/tex]

The cost of buying x necklaces is [tex]c(x)= 4x+15[/tex]

The profit from selling x necklaces is [tex]P(x) = r(x)- c(x)[/tex]

Replace r(x) and c(x)

[tex]P(x) =-10x-(4x+15)[/tex]

[tex]P(x) =-10x-4x-15[/tex]

[tex]P(x) =14x-15[/tex]

write the expression in complete factored form. 5 (u+5) + p (u+5) =

Answers

[tex]5(u + 5) + p(u + 5) = (p + 5)(u + 5)[/tex]

which value of x is in the solution set of the following inequality? -3+5>17

Answers

Answer:

x = - 5

Step-by-step explanation:

Given

- 3x + 5 > 17 ( subtract 5 from both sides )

- 3x > 12 ( divide both sides by - 3 )

Remembering to reverse the inequality symbol when dividing/ multiplying by a negative quantity.

x < - 4 ← symbol reversed

The value of x that is in the solution set is x = - 5

PLEASE HELP!! can you solve this problem? you need to fill all 10 squares with the correct number and/or symbols. Below are the options of numbers and/or symbols that can be placed in the grid. And above the grid is the problem!!

Answers

Answer:

Wow just wow

Step-by-step explanation:

I have no clue sorry ;-;

The 2 Triangles are similar.
What is the ratio of the corresponding side lengths? Thanks!

Answers

Answer:

see explanation

Step-by-step explanation:

The ratios of corresponding sides are

[tex]\frac{AB}{A'B'}[/tex] = [tex]\frac{BC}{B'C'}[/tex] = [tex]\frac{AC}{A'C'}[/tex], that is

[tex]\frac{4}{2}[/tex] = [tex]\frac{9}{4.5}[/tex] = 2

How far did Eddie Travel in all??? 30 pts

Answers

The last dot to the right would be the total distance.

So at 6 pm he had traveled 45 km.

The answer is 45.

Answer:

he traveled 10 miles

Step-by-step explanation:

He took different routes to get to his place that he needed to be

Translate the phrase into an algebraic expression. 5 more than y

Answers

Answer: 5>y

Step-by-step explanation:

Answer:

y + 5

Step-by-step explanation:

5 more than y

y + 5

4+x=7 describe this question in words

Answers

Answer:

3

Step-by-step explanation:

Find the value of x in the equation 4 + x = 7

Answer:

X=3

Step-by-step explanation:

4 +x =7

x =7-4

=3

In a different test, the mean score of 50 students is 54%
The students are split in two groups. Group A and Group B.
The mean score for Group A is 60% and the mean score for Group B is 50%
How many students are in Group B and how many are in Group B?

Answers

Answer:

Group A has 20 students

Group B has 30 students

Step-by-step explanation:

The mean score of 50 students is 54%, so the sum of 50 scores, divided by 50 is 54%.  That means that 50(0.54) = 27 points were scored between the 50 students.

Let x represent the number of students in Group A

Let y represent the number of students in Group B

We have

0.6x + 0.5y = 0.54(50)    (the points scored, times their averages is the total)

and

x + y = 50

Use substitution to solve...solve the second equation for one variable...

x = 50 - y

Now plug that into the first equation...

0.6(50 - y) + 0.5y = 27

     30 - 0.6y + 0.5y = 27

       

             -0.1y = -3

                   y =  30

So there are 30 students in group B, therefore there are 20 students in group A          

simplify the expression below: 3(7x) -2(4-x)

a. 12-2x
b. 13+2x
c. 23x-8
d. 20x-8

Answers

the correct answer is C to this question

Answer:

The answer is

Step-by-step explanation:

First we must follow the order of operation: Please, Excuse, My, Dear, Aunt, Sally; Paranthesis, Exponents, Multiplication, Division, Addition, and Subtration.

First it says to look for parenthesis, which there are; so we do that first;.

3(7x) -2 (4 - x)

  ^

21x - 2 (4 - x)

               ^

 21x - 2 times 4 (btw, we took x away because 4 - x)

               ^ (now we do multiplcation)

      21x - 8  

           ^

           13

answer is 13 + 2x

           

What is a 10% tip on a bill of $42.87? (Round to the nearest cent.)

Answers

10% of $42.87 = 10/100 × 42.87

= 4.287

Ans = $4.29

Happy to help! Marking my answer as the Brainliest would really be aprreciated.

ASAP PLEASE HURRYYYY!!! a student wants to know how many one centimeter cubes will fit into a 10 cm by 8 cm by 12 CM box. what measures is the student trying to calculate?

A. height
B.perimeter
C. surface area
D. volume ​

Answers

Answer:

D

Step-by-step explanation:

Read the question carefully.

"how many one centimeter cubes will fit into a 10 cm by 8 cm by 12 cm box."

Volume is the amount in which how much can go in it.

Answer:

c. surface area because fit is the key word for surface area

Step-by-step explanation:

Who needs Brainliest?

SHOW YOUR WORK since i need to do so

The question is what is 100^ 1/20x2x40x1000000/2=

Answers

Answer:

The answer is 200000000

Step-by-step explanation:

You take all the numbers and follow the order of operations.

1/20 x 2=

0.1 x 40=

4 x 1000000=

4000000/2=

2000000

Answer:

100²⁰⁰⁰⁰⁰⁰

Step-by-step explanation:

1/20 = .05 // .05*2 = .1 /// .1*40= 4 /// 4* 1000000 = 4000000 /// 4000000/2 = 2000000 so 100^ 1/20x2x40x1000000/2=100²⁰⁰⁰⁰⁰⁰

Julian biked a 24 km trip to Guelph.On his way there, his average speed was 12km/h.On his way home, he stopped for a break,so his average speed was only 8km/h. What was his average speed, in km.h, for the entire round trip?

Answers

Time taken by Julian to complete 24 km trip to Guelph at 12 km/h =

[tex]\frac{24}{12}=2[/tex] hours

Time taken by Julian for return trip at 8 km/h = [tex]\frac{24}{8}=3[/tex] hours

As given, the total distance is 24 + 24 = 48 km.

And the total time is 2 + 3 = 5 hrs.

Hence, the average speed for the entire trip is = [tex]\frac{48}{5}= 9.6[/tex]

The answer is 9.6 km/hour.

9282 divided by 433 with a remainder

Answers

9282 divided by 433 with a remainder is equal to 21.

Given data:

To divide 9282 divided by 433, we can use variables to represent the numbers and perform the division algebraically.

Let's denote 9282 as a dividend (D) and 433as divisor (d).

D = 9282

d = 433

We need to find the quotient (Q) when D is divided by d.

Q = D / d

Substituting the given values:

Q = 9282 / 433

To simplify the division, we can multiply both the numerator and denominator by a suitable power of 10 to eliminate the decimal point. In this case, multiplying by 10 will suffice:

Q = (9282 * 10) / (433* 10)

Q = 9282 / 433

Now, we can perform the division:

Q = 9282 / 17

So, Q = 21

The quotient is the final answer, and the remainder is 0. Therefore, 9282 divided by 433 with a remainder is equal to 21.

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Solve the equation for x by graphing. 2-5^x=2^x-3

A.
x ≈ -1.25
B.
x ≈ 1.25
C.
x ≈ 0.75
D.
x ≈ -0.75

Answers

The answer is C, 0.75 :-)

Answer:

the solution is x ≈ 0.75

C is the correct option.

Step-by-step explanation:

We have to solve the equation [tex]2-5^x=2^x-3[/tex]

let us assume two equations

[tex]y=2-5^x...(i)\\\\y=2^x-3[/tex]

Now, in order to solve the equation by graphing method, we graph(i) and (ii) in same coordinate axis.

Graphs of these two equations has been shown in the attached picture.

The, x-coordinate of the intersection point will given the solution.

The x-coordinate of the intersection point is x = 0.746 which can be written as x ≈ 0.75

Therefore, the solution is x ≈ 0.75

C is the correct option.

⚠️⚠️⚠️
joby had $421.56 in her checking account when she deposited g $20 bills and k quarters. Write an expression that represents the amount of money in her account after the deposit.

Answers

Answer: [tex]421.56+20g+\frac{k}{4}[/tex]

Step-by-step explanation:

You have the following information given in the problem above:

- She had $421.56 in her checking account.

- She she deposited g $20 bills  (which you can rewrite: [tex]20g[/tex]) and k quarters (which you can rewrite as folllowing:[tex]\frac{k}{4}[/tex]).

Therefore, the amount of money in her account after the deposit is the sum of the amoun she had in her account plus the amoun of money she deposited.

Then, you can write the following expression:

[tex]421.56+20g+\frac{k}{4}[/tex]

Answer:

421.56 + 20g + 1/4 k

Step-by-step explanation:

Joby had $421.56, and she deposited g $20 bills, and k quarter:

We don´t know how many $20 bills she deposited but we know it is expressed by the letter g, so she deposited $20g, and we add to that how many quarters of a dollar she added, in this case, we know that she deposited k quarters or 1/4 k dollars.

To write an expression to know the amount of money she has after the deposit we have to add:

What she had before the deposit = $421.56

The Dollars in $20 bills, we know it is = 20g

The number of dollars in a quarter of a dollar = 1/4 k

So we write:

421.56 + 20g + 1/4k

Convert 9 feet to inches.

21 inches
27 inches
90 inches
108 inches

Answers

Answer:

108

Step-by-step explanation:

1 foot has 12 inches

9x12=108

1 feet is 12 inches
12*9=108
D) is your answer

The system of inequalities graphed here is __________. A) inconsistent. B) indeterminate. C) consistent and dependent. D) consistent and independent.

Answers

ANSWER

A) Inconsistent

EXPLANATION

If a system of equations has at least one solution, it is said to be consistent.

If the the system has a unique solution, then it is consistent and independent.

If the the system has infinitely many solutions, then it is consistent and dependent.

If the system of equations has no solution at all, then it is said to be inconsistent.

From the graph above, the two straight lines do not intersect because they are parallel and have different y-intercepts.

Since the two lines never meets, there is no solution for the system of equations they represent.

The correct choice is A.

Identify an equation in standard form for a hyperbola with center (0, 0), vertex (0, 17), and focus (0, 19).

Answers

An equation in standard form for a hyperbola with center (0, 0), vertex (0, 17), and focus (0, 19) is;  y²/172 – x²/(6√2)² = 1

How to find the equation of a hyperbola?

We are given that the hyperbola has;

Center (0, 0), Vertex (0, 17) and Focus (0, 19)

The general form of equation of the given hyperbola has a form of;

y²/a²  - x²/b² = 1

Where;

±a is the y- coordinates of the vertices of the parabola (or y-intercepts).

b determines the asymptotes of the hyperbola in the equation y = ± (a/b)x.

From the vertex coordinates of (0.17), we have that; a = ± 17.

From the focus coordinates (0, 19), the y-coordinate of it is; c = 19 .

b can be found from Pythagorean theorem;

c² = a² + b²

Thus;

192 = 172 + b²

b² = 192 – 172

b² = 361 – 289

b = √72 = 6√2

The equation of the hyperbola is;

y²/172 – x²/(6√2)² = 1

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Final answer:

The equation in standard form for a hyperbola with the given center, vertex, and focus is y² / 289 - x² / a² = 1.

Explanation:

The equation of a hyperbola in standard form is given by:

(x - h)² / a² - (y - k)² / b² = 1 or

(y - k)² / b² - (x - h)² / a² = 1

Given that the center is (0,0) and the vertex is (0,17), we can see that the hyperbola is vertically oriented. Therefore, we can use the form (y - k)² / b² - / a² = 1.

Since the center is (0,0), the value of (h, k) is (0,0).

The distance between the center and the vertex is 17 units, which corresponds to the value of b.

The distance between the center and the focus is 19 units, which corresponds to the value of c.

Substituting these values into the equation gives: (y - 0)² / 17² - / a² = 1

The equation in standard form for the hyperbola is therefore / 289 - / a² = 1

Learn more about hyperbola here:

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Chyra redeemed 175 shares of stock she owned in the fund shown below. Name of Fund NAV Offer Price CAH Group $15.83 $16.27 What were Chyra’s proceeds? a. $77.00 b. $2,770.25 c. $2,847.25 d. $5,617.50

Answers

Answer:

Option b $2,770.25

Step-by-step explanation

Chyra owned shares of stock, details are :

Name of Fund - CAH Group

NAV - $15.83

Offer Price - $16.27

Chyra redeemed stock = 175 shares

As we know shares can be redeemed on NAV price.

Chyra's proceeds = 175 × 15.83 = $2,770.25

Chyra's proceeds were $2,770.25.

Answer:

B

Step-by-step explanation:

 

$2,770.25

20 points, Pythagorean Theorem (picture provided)

The angles at the left and right tips of the kite are right angles. The length of the long, diagonal brace of this kite is 100 cm. The length of the shorter side of the kite is 60 cm. What is the length of the longer side of the kite?

A. √13600
B. 40
C. 80
D. 1600

(sorry if the symbol for choice A. is wrong)

Answers

ANSWER

C. 80

EXPLANATION

The longer diagonal is serving as the hypotenuse of the right triangles.

Let the longer side of the kite be x cm.

Then, from the Pythagoras Theorem, the sum of the length of the squares of the two shorter legs equals the square of the hypotenuse.

This means that,

[tex] {x}^{2} + {60}^{2} = {100}^{2} [/tex]

[tex] {x}^{2} + 3600 = 10000[/tex]

[tex] {x}^{2} = 10000 - 3600[/tex]

[tex] {x}^{2} = 6400[/tex]

[tex]x = \sqrt{6400} [/tex]

[tex]x = 80cm[/tex]

Answer:c

Step-by-step explanation:

Find the area of the figure below, formed a triangle and a parallelogram

Answers

Answer:

96

Step-by-step explanation:

The area of a parallelogram is A = b*h. Substitute b = 8 and h= 6 to find the area.

A = 8*6 = 48

The area of a triangle is A = 1/2 b*h. Substitute h = 6 and b = 16 since the triangle has a length of 8 as well as the whole parallelogram.

A = 1/2 *16*6 = 48

Together the areas equal 48 + 48 = 96

6–[(−3)+(−7)]–[(−1)–(−5)–(−8)]

Answers

Answer:

4

Step-by-step explanation:

Here's all the steps, let's just remove all this confusing garbage with the adding negatives first.

6-(-3-7)-(-1+5+8)

Remember, subtracting a negative makes it positive.

6-(-10)-(12)

6+10-12

16-12

4

The expression 6–[(−3)+(−7)]–[(−1)–(−5)–(−8)] simplifies to 2 after solving the operations inside the brackets and applying the order of operations correctly.

The question asks to simplify the expression 6–[(−3)+(−7)]–[(−1)–(−5)–(−8)]. Let's break it down step by step.

Simplify inside the first brackets: (−3)+(−7) = −10.Simplify inside the second brackets: (−1)–(−5)–(−8) = 1+5+8 = 14.Substitute these values back into the original expression: 6 – (−10) – 14.Remembering that subtracting a negative is the same as adding its positive value: 6 + 10 – 14 = 16 – 14.Finally, subtract: 16 – 14 = 2.

Therefore, the simplified expression is 2.

Which of the following equations is the translation 2 units up of the graph of y = |x|? y = |x - 2| y = |x + 2| y = |x| - 2 y = |x| + 2

Answers

Answer:

y = |x| + 2

Step-by-step explanation:

What is the truth value for the following conditional statement?
p: false
q: false

∼p → ∼q

T F → T
F T → F
F F → T
T T → T

Answers

Answer:

TT→T

Step-by-step explanation:

If p is false, then ~p is true.

If q is false, then ~q is true.

Now note that

If a and b are both true, then a→b is true.If a is true, b is false, then a→b is false.If a is false, b is true, then a→b is true.If a and b are both false, then a→b is true.

In your case, both~p and ~q are true, then ~p→~q is true too (or TT→T)

The truth value of the conditional statement ∼p → ∼q is true when both p and q are false, as the conditional is false only when the antecedent is true and the consequent is false.

The question is asking us to evaluate the truth value of the conditional statement ∼p → ∼q when both p and q are false. According to the rules of propositional logic, the implication (→) is false only when the antecedent is true and the consequent is false. Here, since p and q are both false, the antecedent (∼p) is true and the consequent (∼q) is also true. Therefore, the conditional statement is true. This reflects the concept that a conditional statement is always true if either the antecedent is false or the consequent is true, hence in our case the truth value of ∼p → ∼q is true.

If the end points of the diameter of a circle are (8,6) and (2,0), what is the standard form equation of the circle

Answers

Answer:

[tex]\large\boxed{(x-5)^2+(y-3)^2=5^2\to(x-5)^2+(y-3)^2=25}[/tex]

Step-by-step explanation:

The standard form of an equation of a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) - center

r - radius

We have the end points of a diameter (8, 6) and (2, 0). The midpoint of a diameter is a center of a circle. Half of a length of diameter is a length of a radius.

The formula of a midpoint of a segment:

[tex]\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)[/tex]

Substitute:

[tex]x=\dfrac{8+2}{2}=\dfrac{10}{2}=5\\\\y=\dfrac{6+0}{2}=\dfrac{6}{2}=3[/tex]

The center of a circle is (5, 3).

The formula of a length of a segment:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Substitute:

[tex]d=\sqrt{(2-8)^2+(0-6)^2}=\sqrt{(-8)^2-(-6)^2}=\sqrt{64+36}=\sqrt{100}=10[/tex]

The length of a diameter is 10 units. The length of a radius r = 10 : 2 = 5 units.

Finally we have the equation of a circle:

[tex](x-5)^2+(y-3)^2=5^2[/tex]

Bella used 2/9 of a paper pack, or 72 pieces. How many pieces of paper were there to start with?

Answers

Hello!

First, we need to find the unit rate.

72 divided by 2 = 36.

36 x 9 = 324.

There were 324 pieces of paper to start with.

Hope this helps, ~Pooch ♥

Bella used 2/9 of a paper pack, equaling 72 pieces. To find the total number, we solve the proportion (2/9) * x = 72 to deduce that the pack initially contained 324 pieces.

Bella used 2/9 of a paper pack, which amounts to 72 pieces of paper. To find out how many pieces of paper were in the pack to begin with, we need to calculate the total amount of paper in the pack.

Let's set up a proportion where the total number of sheets is x. Since 2/9 of the total is 72, we can write the equation as follows:

(2/9) × x = 72Multiply both sides by 9/2 to solve for x.x = 72 × (9/2)x = 36 × 9x = 324

So, the paper pack originally contained 324 pieces of paper.

mr.ford select 2/5 of 120 people who tied out for theatrical production​

Answers

Step-by-step explanation:

2/5 is equal to 4/10, or 40 percent.

Therefore 40 percent of 120 is 120*.4, or 48

Julia estimates that Ron will buy $800 worth of produce from her each week. Last week, Ron bought $880 worth of produce. What is the absolute error? What is the ratio of the error to the actual amount? What is the percent error?

Answers

Answer:

-first one

80

- second one

80/880

- last one

9.09%

on edg.

Answer:

What is the absolute error?

✔ 80

What is the ratio of the error to the actual amount?

✔ 80/880

What is the percent error?

✔ 9.09%

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