Convert 11 ounces into pounds. Round your answer to the nearest tenth.

Hint: There are 16 ounces in one pound.

A. 176 pounds
B. 0.7 pounds
C. 1.5 pounds

Math~

Answers

Answer 1
11 oz * (1 lb)/(16 oz) = 0.6875 lb ≈ 0.7 lb

Selection B is appropriate.
Answer 2
Final answer:

To convert 11 ounces to pounds, divide 11 by 16. The result is 0.6875 pounds, which rounds up to 0.7 pounds.

Explanation:

To convert 11 ounces to pounds, you would divide the number of ounces by the number of ounces in one pound, which is 16.

Since there are 16 ounces in one pound, we can make this conversion by dividing the number of ounces by 16.

11 ounces / 16 ounces/pound = 0.6875 pounds

Rounded to the nearest tenth, this is approximately 0.7 pounds.

Therefore, the correct answer is B. 0.7 pounds.

Learn more about Weight Conversion here:

https://brainly.com/question/11429990

#SPJ2


Related Questions

The equation below describes a parabola. If a is negative, which way does the parabola open?
y=ax^2
a. down
b. left
c. up
d. right

Answers

Given equation : y=ax^2 
Taking a to the other side we have, x^2=(1/a)*y
 This equation describes a parabola that opens up.
 When a is negative, the focus is on the negative y-axis, therefore, the parabola opens down.
 The answer is a. down.

When [tex]\( a \)[/tex] is negative in the equation [tex]\( y = ax^2 \)[/tex], the parabola opens downwards. So, the answer is (a).

To determine the direction in which the parabola described by the equation [tex]\( y = ax^2 \)[/tex] opens, we need to understand the properties of the quadratic function. Let's analyze this step by step:

1. Identify the general form of the equation:

  The given equation is [tex]\( y = ax^2 \)[/tex].

2. Determine the effect of the coefficient [tex]\( a \)[/tex] on the parabola:

  - If [tex]\( a \)[/tex] is positive, the parabola opens upwards.

  - If [tex]\( a \)[/tex] is negative, the parabola opens downwards.

3. Evaluate the given condition:

  The problem states that [tex]\( a \)[/tex] is negative.

4. Apply the condition to the quadratic equation:

  Since [tex]\( a \)[/tex] is negative, the coefficient of [tex]\( x^2 \)[/tex] in the equation [tex]\( y = ax^2 \)[/tex] is negative.

5. Conclusion:

  When [tex]\( a \)[/tex] is negative, the parabola opens downwards.

Therefore, the correct answer is:

a. down

The difference between 3.6 and a number is 2.95, as shown below. What number should go in the box to complete the subtraction problem?

Numerical Answers Expected!

Answers

The missing number is 6.   3.6-.65 = 2.95
3.6 - 2.95 = .65

Hope it helps ;)))

The strength of the force of gravity depends ona.the masses of the objects and their speeds.
b.the masses of the objects and the distance between them.
c.the weight of the objects and their speeds.
d.the masses of the objects and their weights.

Answers

B) The mass of objects and the distance between them.

Jason knows that the equation to calculate the period of a simple pendulum is , where T is the period, L is the length of the rod, and g is the acceleration due to gravity. He also knows that the frequency (f) of the pendulum is the reciprocal of its period. How can he express L in terms of g and f?

Answers

1/f = 2π√(L/g)
1/(2πf) = √(L/g) . . . . . divide by 2π
1/(2πf)^2 = L/g . . . . . .square both sides
g/(2πf)^2 = L . . . . . . .multiply by g

L = g/(4π^2f^2) . . . . . . . matches the 1st selection

Answer-

[tex]\boxed{\boxed{L=\dfrac{g}{4\pi^2 f^2}}}[/tex]

Solution-

The equation for time period of a simple pendulum is given by,

[tex]T=2\pi \sqrt{\dfrac{L}{g}}[/tex]

Where,

T = Time period,

L = Length of the rod,

g = Acceleration due to gravity.

Frequency (f) of the pendulum is the reciprocal of its period, i.e

[tex]f=\dfrac{1}{T}\ \Rightarrow T=\dfrac{1}{f}[/tex]

Putting the values,

[tex]\Rightarrow \dfrac{1}{f}=2\pi \sqrt{\dfrac{L}{g}}[/tex]

[tex]\Rightarrow (\dfrac{1}{f})^2=(2\pi \sqrt{\dfrac{L}{g}})^2[/tex]

[tex]\Rightarrow \dfrac{1}{f^2}=4\pi^2 \dfrac{L}{g}[/tex]

[tex]\Rightarrow L=\dfrac{g}{4\pi^2 f^2}[/tex]

In the figure, TR−→− and TV−→− are secants to circle A. mRV=99∘ mSU=45∘ What is the measure of ∠RTV ? Enter your answer in the box.

Answers

The answer is 27 I just took the test and it was correct.

In the slope intercept equation for a line the coefficient of the _______-term gives the slope

Answers

The coefficient of the x-term in the slope-intercept equation of a line represents the slope. The slope indicates how the y-value changes with each one-unit increase of the x-value. The constant term 'b' is the y-intercept, the point where the line crosses the y-axis.

In the slope-intercept equation of a line, typically written as y = mx + b, the coefficient of the x-term gives the slope of the line. The slope, represented by the letter 'm', defines the steepness of the line, or how much the y-value changes for every one-unit increase in x. The y-intercept is given by the constant term 'b', which indicates the point where the line crosses the y-axis, occurring when x equals zero.

Slope is especially important in fields like economics as it measures the relationship between two variables. A positive slope means that as x increases, y also increases, and vice versa for a negative slope. Therefore, knowing the slope allows us to predict how one variable will change in response to the other.

Which decimal shows eighteen and eight hundredths?

Select the correct answer.

Question 3 options:

18.08


.1808


18.80

Answers

eighteen = 18
eight hundredths = 0.08

eighteen and eight hundredths = 18.08

The correct decimal that represents eighteen and eight hundredths is 18.08, with the '8' in the hundredths place following the whole number 18.

The decimal that shows eighteen and eight hundredths is 18.08. This is because the number 18 represents the whole part, and the decimal part .08 represents the hundredths place. To express this, we place a decimal point after the whole number 18, followed by two digits: the first digit after the decimal point for tenths (which is 0 in this case), and the second digit for hundredths, which is 8. Thus, the correct decimal representation would be 18.08, as opposed to 18.80 which shows eighty hundredths, or .1808 which implies a number less than one with eight hundredths and eight ten-thousandths.

1. Based on the information given, can you determine that the quadrilateral must be a

parallelogram? Explain.

Given: (BE) ̅  (ED) ̅ and (AE) ̅  (EC) ̅


2. The parallelogram has the angle measures shown. Can you conclude that it is a rhombus, a rectangle, or a square? Explain.

Answers

Solving Q1: Given BE = ED and AE = EC.

Considering triangles ΔAED and ΔCEB;

1. AE = EC (given)

2. ∠AED = ∠CEB (vertical angles)

3. ED = EB (given)

ΔAED ≡ ΔCEB (Side-Angle-Side congruency of triangles)

∠DAE = ∠BCE and AD = BC (using CPCTC)

AD║BC (Converse of Alternate Interior angles theorem)


Similarly consider triangles ΔABE and ΔCDE;

1. AE = CE (given)

2. ∠BEA = ∠DEC (vertical angles)

3. BE = DE (given)

ΔABE ≡ ΔCDE (Side-Angle-Side congruency of triangles)

∠ABE = ∠CDE and AB = CD (using CPCTC)

AB║CD (Converse of Alternate Interior angles theorem)


Since we have AB║CD, AB = CD and AD║BC, AD = BC.

Therefore, quadrilateral ABCD is a parallelogram.

****************************************************************************************************

Solving Q2: The parallelogram has the angle measures shown in the diagram.

It is clearly visible that both the triangles are Isosceles triangles, so opposite sides in each triangle are equal.

Consider two triangles given in the problem, we have two sets of congruent angles and one included side is common in both triangles.

Using Angle-Side-Angle congruence of triangles, both the triangles would be congruent too.

Using CPCTC, we can say opposite sides of quadrilateral would be congruent.

Therefore, all sides in given quadrilateral are equal.

Hence, Given quadrilateral is a Rhombus.

a horse trots in a circle at the end of a 4m rope. About how far does the horse trotted after completing ten circles?

Answers

251.33m. First find the distance around one circle then times by ten for all the circles.
Circumference of each circle=2x(pi)xr
=2(Pi)x10
=25.13
For ten circles=25.13x10
=251.33
--------------------------------------------------
Find 1 round
--------------------------------------------------

1 round of the circle = πD
1 round of the circle = π(2x4)
1 round of the circle =8π

--------------------------------------------------
Find 10 rounds
--------------------------------------------------

10 round of the circle = 8π x 10 
10 round of the circle = 80π
10 round of the circle = 251.33 m

--------------------------------------------------
Answer: 251.33 m
--------------------------------------------------

Does anybody have the answer, please?

Answers

Hello,

x is half of arc 148°

x=148/2
x=74

Each week, Joey gets paid $10 plus $2 for each chore he does. His sister Julie gets paid $5 plus $3 per chore.

A. Write an expression for how much their parents pay Joey and Julie each week if they do the same amount of chores.

B. If Joey and Julie each do 5 chores, how much do they get paid individually? How much do their parents pay altogether?

Answers

well 12x5 is 60 and 8x5 is 40 then add them and it would be 100 altogether that would be B
A. Joey: y=2x+10  Julie: y=3x+5
B. Joey: y=2(5)+10 y=20 Julie: y=3(5)+5 y=20.
Their parents pay $40 altogether.

cole grew 2 3/4 inches last year kelly grew the same amount which fraction below represent the number of inches that kelly grew last year

Answers

the answer is 2 3/4 because Kelley grew just as much as Cole. You might have to simplify some of the answers in your multiple choice question do it makes 2 3/4.
You didn't mention the fraction however, 

2 3/4 can be 11/4 as an improper fraction.

3/4 can change into anything such as, 12/16 or 3000/4000 while 2 still remains the same.
Let me know if you need any additional help. =)

The sum of three consecutive even integers is 222. find the three integers.

Answers

x + (x+1) + (x+2) = 222
3x = 219
x = 73

Integers are 73 74 and 75


The graph shown below is a scatter plot:

Which point on the scatter plot is an outlier?

Point S
Point T
Point U
Point V

Answers

i believe it is point S since its the farthest from thr plot meaning they are the influential poiny

Answer:

the answer is point S

~batmans wife dun dun dun...aka ~serenitybella

Solve 4e^2x-3=12 please help

Answers

4e^2x-3=12 =>e^2x=15/4 =>ln(15/4)=2x => x=(1/2)ln(15/4)=ln(15/4)^(1/2)=ln(15^(1/2)/2) => x = ln 15^(1/2) - ln 2 

[tex] 4*e^{2x} -3 = 12 [/tex]

Step 1:

Here we have -3 in subtraction on the left side, so when we take it to the right we apply opposite operation of subtraction that is addition.

[tex] 4*e^{2x} = 12+3 [/tex]

[tex] 4*e^{2x} = 15 [/tex]

Step 2:

Next we have 4 in multiplication on left side, so dividing right side by 4,

[tex] e^{2x} = 15/4 [/tex]

[tex] e^{2x} = 3.75 [/tex]

Step 3:

taking log on both sides

[tex] ln ( e^{2x}) = ln(3.75) [/tex]

[tex] {2x} =ln 3.75 [/tex]

Step 4:

Dividing right side by 2,

x= ln (3.75) /2 = 0.66088

Answer : x = 0.66088..


Write an equation for the line whose data is in the table below
X:1 2 5
Y: 4 6 12

Answers

y=2x+2
this is the equation for the graph


Rachel is selling T-shirts. It costs her $5 each week to advertise her T-shirts. She buys each T-shirt for $3.50 and sells each one for $8.00. Write an equation to model the amount of profit, P, she makes from selling x T-shirts in one week.

P = 3.50x − 5
P = 8x − 3.5
P = 5x + 3.5
P = 4.5x − 5

Answers

net profit from selling one t-shirt=(8-3.5=$4.5)
so
P=4.5x-5

Kenny has $1,400 in the bank. He earns $150 every week at his afterschool job. What is the rate of change for the scenario described?

2
150
300
1,400
@tylermcmullen23,

Answers

The rate of change would be equal to the amount of money that Kenny is earning every week, since there are no expenses that are removing money from his account. In this case, it would be the $150 that he is putting into the account weekly.

Answer:

150

Step-by-step explanation:

Choose an equation for the relationship between the measures of the segments, angles, and arcs.

Answers

I think it is the last one.

The correct equation for the relationship between the measures of the segments, angles, and arcs is [tex]PR^2[/tex] = PS * PT. The last option is the right choice.

Power of a Tangent: We know that the power of a point from an external point P to a circle is equal to the product of the lengths of the two tangents drawn from P to the circle (PQ * PR = PS * PT).

Identify the Tangents and Secant: In the given diagram, PR is the secant intersecting the circle at points T and S, and PQ and PS are the tangents drawn from P to points Q and S, respectively.

Apply the Power of a Tangent Theorem: Since PS and PT are tangents from P, we can apply the power of a tangent theorem to get:

PS * PT = PQ * PR.

Substitute PQ with PR: Since PQ and PR are both tangents drawn from the same point P, they have the same length (PQ = PR). Substituting PQ with PR in the equation, we get:

PS * PT = PR * PR.

Simplify the Equation: Simplifying the equation PR * PR = PS * PT, we get the final equation:

[tex]PR^2[/tex] = PS * PT.

Therefore, the equation [tex]PR^2[/tex] = PS * PT correctly represents the relationship between the measures of the segments, angles, and arcs in the given diagram.

The last option is the right choice.

In how many different orders can you line up 8 cards on a table? I'll FAN AND MEDAL!!!

Answers

To determine how many different orders in which you could line them up, you would need to perform a simple math problem. You would multiply 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1. This multiplication would give you 40320 different orders. You would multiply 8! because there are 8 different cards, and 8 different places in which they can be put in the order.

1. Astronomers measure large distances in light-years. One light year is the distance that light can travel in one year, or approximately 5.88 x 10^12 miles. Suppose a star is 9.8 x 10^1 light years from Earth. In scientific notation, approximately how many miles is it?

A. 5.88 x 10^13 miles
B. 5.76 x 10^14 miles
C. 5.88 x 10^12 miles
D. 9.8 x 10^12 miles


2. A 1,600.00 principal earns 7% annual interest, compounded semiannually (twice per year). After 33 years, what is the balance in the account?

A. $4,979.11
B. $14,920.54
C. $112,992.00
D. $15,494.70

Answers

1. Distance: d=9.8x10^1 light years
d=9.8x10^1x5.88x10^12 miles
d=57.6x10^13 miles
d=5.76x10^14 miles

Answer: Option B. 5.76x10^14 miles

2. Principal: P=1,600
Annual interest: i=7%=7/100→i=0.07
Number of years: t=33
Balance: B=?
Compounded semiannually (twice per year) → n=2

B=P(1+i/n)^(nt)

Replacing the values:
B=$1,600(1+0.07/2)^(2x33)
B=$1,600(1+0.035)^66
B=$1,600(1.035)^66
B=$1,600(9.684185201)
B=$15,494.69632
B=$15,494.70

Answer: Option D. $15,494.70

Final Answer:

The answers are:
1. B. 5.76 x 10¹⁴ miles
2. D. $15,494.70

Explanation:

Let's solve each of these questions step by step.
Question 1:
First, we'll calculate the distance to the star in miles, given its distance in light years.
One light year is approximately 5.88 x 10¹² miles.
The star is 9.8 x 10¹ light years from Earth.

To find the distance in miles, we multiply the distance in light years by the length of one light year in miles:
Distance in miles = (5.88 x 10¹² miles/light year) * (9.8 x 10¹ light years)

To multiply these numbers in scientific notation, we multiply the coefficients (5.88 and 9.8) and then add the exponents of 10 (12 and 1).
Coefficient multiplication: 5.88 * 9.8
Using a calculator or doing the multiplication by hand, we find that 5.88 * 9.8 is approximately 57.624.
Exponent addition: 12 + 1 = 13

So the distance in miles is approximately 57.624 x 10¹³ miles.

However, in scientific notation, the coefficient should be between 1 and 10. Therefore, we need to adjust the coefficient from 57.624 to 5.7624 and increase the exponent by 1 to keep the same value.
Distance in miles = 5.7624 x 10¹⁴ miles

To make it approximately and match the answer choices, we can round the coefficient to 5.76.
Distance in miles ≈ 5.76 x 10¹⁴ miles

The closest answer to our computed value is:
B. 5.76 x 10¹⁴ miles

Question 2:
Next, let's use the compound interest formula to find the balance in the account after 33 years.
The compound interest formula is:
[tex]A = P (1 + r/n)^{(nt)[/tex]
where:
A is the amount of money accumulated after n years, including interest.
P is the principal amount (the initial amount of money).
r is the annual interest rate (decimal).
n is the number of times that interest is compounded per year.
t is the time the money is invested for, in years.

We're given:
P = $1,600.00
r = 7% annual interest = 0.07 (as a decimal)
n = 2 (since interest is compounded semiannually)
t = 33 years

Plugging these values into the formula gives us:
[tex]A = 1600.00 * (1 + 0.07/2)^{(2*33)[/tex]
Let's break it down:

Interest rate per compounding period: 0.07/2 = 0.035
Number of compounding periods: 2*33 = 66

Now substitute these values:
A = 1600 * (1 + 0.035)⁶⁶

We calculate (1 + 0.035)^66 using a calculator:
(1 + 0.035)⁶⁶ ≈ (1.035)⁶⁶ ≈ 9.682

So the final balance is:
A ≈ 1600 * 9.682 ≈ 15491.2

The closest answer to our computed value is:
D. $15,494.70

Hence, the answers are:
1. B. 5.76 x 10¹⁴ miles
2. D. $15,494.70

All the events for the volunteer committee need to be finished;____, parents' day needs to be completed.

Choose the transitional word or phrase that best fits the blank.

A. In essence
B. Similarly
C. Finally
D. In particular

Answers

All the events for the volunteer committee need to be finished; B. Similarly, parents' day needs to be completed. 

We use the term "similarly" because the volunteer committee and parents' day events are not related, but both need to be completed. The word "similarly" is used to compare the two events by stating that they both need to be completed.

PLEASE PLEEAASE HELP!! You have a 5-question multiple-choice test. Each question has four choices. You don’t know any of the answers. What is the experimental probability that you will guess exactly three out of five questions correctly? Type your answer below using complete sentences,

Answers

The number of ways to permute three correct answers among five questions is 5Choose3 which is 5!/(3!*2!) which equals 10. We must then have the correct answer three times which happens .25 of the time, and two wrong answers 75 of the time. So the probability is 10*0.25^3*.75^2 which is 0.087890625 or roughly an 8.8% chance.

MAJOR HELP NEEDED!

Lea knows the following information about the 50 days where she tracked whether she wore a tie and whether she received a compliment on her outfit:

-There were 11 days where she neither wore a tie nor received a compliment.
-There were 30 days in total where she received a compliment.
-There were 16 days in total where she did not wear a tie.

Can you help Lea organize the results into a two-way frequency table?

Answers

Answer  with explanation:

We know that a two-way frequency table is constructed when we have to deal with two variables ( which is also known as a bivariate data)

Here we have two variables as wore a tie or not and the second variable is: Received compliment or not.

Hence, on the basis of the information provided to us in the question we see that the two-way frequency table is obtained as follows:

                                               Wore tie          Do not wore tie     Total

Receive compliment                 25                         5                       30

Do not receive compliment       9                         11                       20

        Total                                 34                         16                       50

The considered data given about the frequencies of events can be used to fill the two-way frequency table. The values will be 25 and 5 in first row, and 9 and 11 in second row.

How to form two-way frequency table?

Suppose two dimensions are there, viz X and Y. Some values of X are there as [tex]X_1, X_2, ... , X_n[/tex] and some values of Y are there as [tex]Y_1, Y_2, ... , Y_n[/tex]

List them in title of the rows and left to the columns. There will be [tex]n \times k[/tex] table of values will be formed(excluding titles and totals), such that:

Value(ith row, jth column) = Frequency for intersection of  [tex]X_i[/tex]  and [tex]Y_j[/tex]  (assuming X values are going in rows, and Y values are listed in columns).

Then totals for rows, columns, and whole table are written on bottom and right margin of the final table.

For n = 2, and k = 2, the table would look like:

[tex]\begin{array}{cccc}&Y_1&Y_2&\rm Total\\X_1&n(X_1 \cap Y_1)&n(X_1\cap Y_2)&n(X_1)\\X_2&n(X_2 \cap Y_1)&n(X_2 \cap Y_2)&n(X_2)\\\rm Total & n(Y_1) & n(Y_2) & S \end{array}[/tex]

where S denotes total of totals, also called total frequency.

n is showing the frequency of the bracketed quantity, and intersection sign in between is showing occurrence of both the categories together.

We're given that:

There were 11 days where she neither wore a tie nor received a compliment.There were 30 days in total where she received a compliment.There were 16 days in total where she did not wear a tie.

If we take:

A = event of Lea wearing a tie on a day

A' = event of Lea not wearing a tie on a day

B = event of Lea getting a compliment on a day

B' = event of Lea not getting a compliment on a day

then, we're given that:

[tex]n(A' \cap B') = 11\\n(B) = 30\\n(A') = 16[/tex]

Also, total number of days = S = 50

On each of those 50 days, she either wore a tie or not.

If she didn't put on a tie on 16 out of 50 days, then she wore tie for 50-16=34 days.

Thus, we get n(A) = 34

Similarly, we get n(B') = 50 - n(B) = 50 - 30 = 20

[tex]\begin{array}{cccc}&A&A'&\rm Total\\B&n(B\cap A)&n(B\cap A')&n(B)=30\\B'&n(B' \cap A)&n(B' \cap A')=11&n(B')=20\\\rm Total & n(A)=34 & n(A')=16 & S=50 \end{array}[/tex]

Using the total of the third row, we get:

[tex]n(B' \cap A) + 11 = 20\\n(B' \cap A) = 9[/tex]

Similarly, now using second column's total, we get:

[tex]n(B \cap A) + n(B' \cap A) = 34\\n(B \cap A) + 9 = 34\\n(B \cap A) = 25[/tex]

Now using second row's total, we get:

[tex]25 + n(B \cap A') = 30\\n(B\cap A') = 5[/tex]

Thus, we get:

[tex]\begin{array}{cccc}&A&A'&\rm Total\\B&n(B\cap A)=25&n(B\cap A')=5&n(B)=30\\B'&n(B' \cap A)=9&n(B' \cap A')=11&n(B')=20\\\rm Total & n(A)=34 & n(A')=16 & S=50 \end{array}[/tex]

Thus, finally, we can say that:

                                                  Wore a tie,               Didn't wore a tie

Got a compliment                         25                                    5

Didn't got a compliment               9                                      11

Thus, the values will be 25 and 5 in first row, and 9 and 11 in second row.

Learn more about two-way table here:

https://brainly.com/question/26788374

#SPJ3

What number is 35% of 22?

Answers

Hello,

Here is your answer:

The proper answer to this question is "7.7"

Here is how:

35*22
_____
100

=7.7

Your answer is 7.7!

If you need anymore help feel free to ask me!

Hope this helps!

What is the radian measure of the central angle of an arc that has an arc length of 3 units and a radius of 4 units?

Find the arc length intercepted by a central angle of pi/2 radians in a circle whose radius is 24 inches.

Find the measure of a central angle that intercepts an arc of 27 inches in a circle whose radius is 10 inches.

Answers

The radius of circle(r), the arc length(s) and the angle subtended by the arc at the center of the circle(Ф) are related by the following equation:

s = rФ

For the first question, we have the arc length (3 units) and the radius of circle (4 units) and we need to find the radian measure of central angle of the arc. Substituting the values in the above formula we get:

3=4Ф

Ф=3/4 = 0.75 radians


For the second question, we have the central angle (π/2 radians) and the radius of circle(24 inches). We need to find the length of the arc. Substituting the values in above equation, we get:

s = 24 x (π/2) = 12π inches

The third question is similar to the first one. The arc length is given (27 inches) and radius of circle is given to be (10 inches). We are to find the radian measure of central angle. Substituting the values in above equation, we get:

27=10Ф

Ф=2.7 radians

Answer:

Step-by-step explanation:

What is the measure of the central angle?

Answer : 140°

What ratio represents the measure of the central angle compared to the measure of the entire circle?

Answer7/18

If s = , what is the length of minor arc AB?

Answer : 14π

Which of the following is equal to thirty-four and four hundred fifty-eight thousandths? A. 3,445.008 B. 34.0458 C. 34.58 D. 34.458

Answers

Hello,

Here is your answer:

The proper answer to this question is option D "34.458".

Here is how:

Thirty-four and four hundred fifty-eight thousandth's=34.458!

If you need anymore help feel free to ask me!

Hope this helps!

If you rewrite the problem 14(22) as 14(20+2) so that you can use mental math, which of the following properties will you use?
*nevermind I got it* 

Answers

For this case, the property you can use is the following:
 Commutative property.
 We have then that:
 14 (20 + 2) = 280 + 28 = 308
 Equivalently:
 14 (2 + 20) = 28 + 280 = 308
 Either way the result is exactly the same.
 Answer: 
 Commutative property.

If possible, choose k so that the following function is continuous on any interval:

f(x)= (5x^4-20x^3)/(x-4) , x≠4
f(x)= K , x=4

k=?,

Answers

We need to cancel out the discontinuity in x = 4

In order to do that, factorize the numerator:
5x⁴ - 20x³ = 5x³(x-4)

This way, your function will be:
f(x) = 5x³(x-4) / (x-4)

and the two parentheses cancel out, leaving
f(x) = 5x³ 

which at x = 4 gives:
f(4) = 5·4³ = 5 · 64 = 320

Therefore K = 320.

Using continuity concepts, it is found that K = 320 makes the function continuous.

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A function f(x) is said to be continuous at x = a if:

[tex]\lim_{x \rightarrow a^{-}} = \lim_{x \rightarrow a^{+}} = f(a)[/tex]

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

The piece-wise function given is:

[tex]f(x) = \frac{5x^4 - 20x^3}{x-4}, x \neq 4[/tex]

[tex]f(x) = K, x = 4[/tex]

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The definition for x different of 4 can be simplified, as follows:

[tex]f(x) = \frac{5x^4 - 20x^3}{x-4} = \frac{5x^3(x - 4)}{x - 4} = 5x^3[/tex]

Thus, the simplified definition is:

[tex]f(x) = 5x^3, x \neq 4[/tex]

[tex]f(x) = K, x = 4[/tex]

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For the lateral limits, x is close to but not exactly 4, so the first definition is used.

[tex]\lim_{x \rightarrow 4^-} = \lim_{x \rightarrow 4} 5x^3 = 5(4)^3 = 5 \times 64 = 320[/tex]

[tex]\lim_{x \rightarrow 4^+} = \lim_{x \rightarrow 4} 5x^3 = 5(4)^3 = 5 \times 64 = 320[/tex]

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For continuity, it is needed that:

[tex]f(4) = 320[/tex]

Thus:

[tex]K = 320[/tex] makes the function continuous.

A similar problem is given at https://brainly.com/question/14755764

What would the total bill be of painting the costs $44.80 with the tax rate of 6%?

Answers

$47.488

Hope this helped!

Paint costing $44.80 plus a 6% tax would be:
44.80*1.06 = 47.488 Rounded to $47.49

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