Simplify the function f (x) = one-third (81) Superscript StartFraction 3 x Over 4 EndFraction. Then determine the key aspects of the function.

Answers

Answer 1

The function is f(x) = 1/3(27)ˣ, the key aspects are domain: -oo < x < oo and range: y ≥ 1/3

How to simplify the equation of the function?

From the question, the equation of the function is given as

f (x) = one-third (81) Superscript StartFraction 3 x Over 4 EndFraction

Rewrite the equation properly

So, we have

f(x) = 1/3(81)³/⁴ˣ

Express 81 as 3 exponent 4

So, we have the following equation

f(x) = 1/3(3⁴)³/⁴ˣ

Evaluate the exponents

f(x) = 1/3(3)³ˣ

Further, evaluate the exponents

f(x) = 1/3(27)ˣ

Next, we calculate the key aspects i.e. the domain and the range

The above function is an exponential function.

The domain of an exponent is the set of all real values

Set the radicand to 1, to calculate the range

So, we have

y = 1/3 * 1

Evaluate

y = 1/3

Since the coefficient, this value is a minimum

So, the range is

y ≥ 1/3

Hence, the simplified function is f(x) = 1/3(27)ˣ

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Answer 2

Answer:

1/3

27

all real numbers

y > 0

or B. C. D. B.

Step-by-step explanation:

hope I could help


Related Questions

Part 1
Tell whether the sequence is arithmetic. If it​ is, identify the common difference.
-1,4,9,14

Answers

yes because it’s adding by the same number each time
arithmetic means adding or subtracting by the same number each time

A square play area has an area of 5625m2. How long is each side

Answers

Answer:[tex]75m^{2}[/tex]

Step-by-step explanation: Just have to square root 5625m2 to get each side length

Select the correct answer.
Which expression is equivalent to the given expression?
(6n-5) (3n-³)²
A. 301
36
OB. 547.30
367.30
O A.
O c.
O D. 511
54

Answers

Answer:

[tex] \frac{54}{n {}^{11} } [/tex]

Step-by-step explanation:

[tex](3n {}^{ - 3} ) \times (3 {n}^{ - 3} )[/tex]

[tex]6 {n}^{ - 5} \times 9n {}^{ - 6} [/tex]

[tex]54 {n}^{ - 11} [/tex]

[tex] \frac{54}{n {}^{11} } [/tex]

Evaluate these expressions.
Type the correct answer in each box.
6² =
8²=
15² =

Answers

6 to the power of 2 is 36
8 to the power of 2 is 64
15 to the power of 2 is 225

your balance is 89.75 and you deposit 156.90 and write a check for 34.79 and a withdrawal of 50.00 what is your new balance

Answers

Man that’s pretty hard let me know when you figure it out! 100$

what is 2 and 2 add together

Answers

2+2 a very complicated math question 2+2 = 6 because there's two 2's so that gives us an extra 2 so the actual question is "what is 2 + 2 + 2"

so the answer to your question is 6

its any of this greater than 7.03 7.031 7.030 7.003 7.0

Answers

7.031 is greater than 7.03.

The given value is having a 2-digit decimal place.

The options which are provided are:

1)7.031

2)7.030

3)7.003

4)7.0

Comparing the first decimal placeholder of each option with the question, all options have the same digit which is zero.

Comparing the second decimal placeholder of each option with the question, only option 1)7.031 and option 2)7.030 is having .03 the rest of the options, option 3)7.0003 and 4)7.0 have .00 has their second digit hence both option 7.0003 and 7.0 are smaller than 7.03.

Out of the remaining options, when options 1)7.03 and 2)7.031 are compared it can be seen that 7.031 is greater because the third decimal placeholder of 7.031 is 1 and 7.03 is 0 hence 7.031 is greater than 7.03.

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A certain company's main source of income is selling cloth bracelets.
The company's annual profit (in thousands of dollars) as a function of the price of a bracelet (in
dollars) is modeled by:
P(x) = −2x² + 16x − 24
-
What bracelet price should the company set to earn this maximum profit?

Answers

The bracelet price on which company get its maximum profit  is 8 thousand dollar

what is function?

A rule or law that define an relationship between one variable to another variable

The company's annual profit (in thousands of dollars) as a function of the price of a bracelet (in dollars) is modeled by: P(x)=-2x^2+16x-24

To find maximum profit , we need to find out the vertex

x coordinate of vertex formula is -b/2a

P(x)= -2x^2 +16 x-24

a=-2  and b = 16

x= -b/2a= -16/2 x -2 = 4

Now we plug in 4 for x  and find out P(4)

P (x) = -2 x (4)^2 + 16 x 4 - 24 = 8

So the maximum profit the company can earn is 8 thousand dollars when price = $4

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2(x+3)
2x+6
This is an example of the blank property.

4x-3
x=2
4(2)-3
The blank property is use here.

Answers

commutative property is an example of the blank property.

What in mathematics is a commutative property?

This law basically indicates that while adding and multiplying integers, you can rearrange the numbers in a problem without modifying the solution. Division and subtraction do not work  commutative.

What is a commutative property example?

Commutative characteristic of addition: The sum is unaffected by the arrangement of the addends. For example, 4 + 2 = 2 + 4 4 + 2 = 2 + 4, plus 2, equals 2, plus 4. 4 + 2 = 2 + 44. Changes to the order of the addends have no effect on the sum, because of the associative property of addition.

2(x+3) = 2x+6

Commutative Property used in this function.

4x-3

put x=2

4(2)-3 =  Commutative Property used in this function.

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Amy, Ravi, and Bob have a total of $127 in their wallets. Bob has 4 times what Ravi has. Ravi has $7 less than Amy. How much do they have in their wallets?

I ONLY HAVE A FEW MINUTES LEFT TO TURN THIS IN!!

Answers

If Amy, Ravi, and Bob have a total of $127 in their wallets. Bob has 4 times what Ravi has. Ravi has $7 less than Amy. The amount they have  have in their wallets is : Army has $22.33, Ravi $89.33, Henry $15.33.

How to determine wallet amount?

Let Army represent x dollars

Let Ravi represent   4x

Let Bob represent  x - 7

Hence,

x + x - 7 + 4x = 127

Simplify by combining like terms

6x - 7 = 127

Add 7 to both sides of the equation leaving 6x

6x = 127+7

6x = 134

x =134/6

x = 22.33

x = Army has $22.33

Ravi

4x  where x = 22.33

4(22.33) = 89.33

Bob

x - 7 where x = 22.33

22.33 -7 = 15.33

Prove :

Ravi + Bob + Henry = 127

= 22.33 +89.33 + 15.33 = 126.99 ≅127 (Approximately)

Therefore the have $22.23, $89.33 and 15.33 respectively.

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results from previous studies showed 79% of all high school seniors from a certain city plan to attend college after graduation. a random sample of 200 high school seniors from this city reveals that 162 plan to attend college. does this indicate that the percentage has increased from that of previous studies? test at the 5% level of significance. what is the p-value associated with your test of hypothesis?

Answers

The allegation that the proportion has increased from that of earlier studies is not supported by enough data.

What is Hypothesis test?

Hypothesis test: A statistical hypothesis test is a method of statistical inference used to decide whether the data at hand sufficiently support a particular hypothesis. Hypothesis testing allows us to make probabilistic statements about population parameters

Let p represent the population percentage.

Then, Null hypothesis  : H₀:p=0.79

Alternative hypothesis : H₀:p>0.79

The hypothesis test is a right-tailed test because the alternative hypothesis is right-tailed.

Out of 200 high school seniors in this city, 162 intend to enroll in college, according to a random sampling.

Because n = 200 > 30 we must employ the z-test (otherwise we use t-test.)

p`=162/200=0.81

Population percentage test statistic:

[tex]z=(p`-p)/[/tex][tex]\sqrt{p`(1-p)/n[/tex]

[tex]z=(0.81-0.79)/\sqrt{0.81(1-0.81)/200}[/tex] =0.720984093915≈0.72

Consequently, the sample test statistic's z-value is 0.72.

Right-tailed test P-value:

[tex]p(z > 0.72)=1-p(\leq 0.72)[/tex]

≈[tex]1-0.7642375[/tex]

≈[tex]0.2357625[/tex]

≈[tex]0.2358[/tex]

We are unable to reject the null hypothesis since the p-value is higher than the threshold for significance (0.05).

Therefore, we draw the conclusion that the allegation that the proportion has increased from that of earlier studies is not supported by enough data.

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How do I solve for number 4 and 5?

Answers

Answer:

i cant really see the words

Step-by-step explanation:


What is the difference in
elevation between 3 feet above
sea level and 20 feet below sea
level?

Answers

Answer:

23

Step-by-step explanation:

3-(-20)

Assume AABC
ALMN. If AB = 41,
MN = 38, and LN = 25, what is the length
of AC?
1 Assume AFGH = APQR if FH = 3
QR = 4.5, what is the length of
FG:
, and
PQ

Answers

The missing lengths of the sides of the congruent triangles described are:

AC = 25 units.

PQ = 3 units.

What is the Side Lengths of Congruent Triangles?

The corresponding side lengths of any two or more triangles that are congruent to each other are always equal in measure. That is, the three sides of one triangle have lengths that are equal to the corresponding three sides of the other triangle, if both triangles are congruent triangles.

We are told that triangles ABC and LMN are congruent to each other, therefore:

AB = LM = 41 units [corresponding sides]

AC = LN = 25 units [corresponding sides]

BC = MN = 38 units [corresponding sides].

Therefore, the length of AC is 25 units.

Also, it is assumed that triangles FGH and PQR are congruent triangles, therefore:

FG = PQ = 3 units [corresponding sides]

GH = QR = 4.5 units [corresponding sides]

Therefore, the length of PQ is 3 units.

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write each expression as the product of two factors h•3+6•3​

Answers

Answer:

3(h + 6)

Step-by-step explanation:

Since we are starting with

h•3 + 6•3, try to see that there are two terms here h•3 and 6•3. In both of these terms is the factor 3. We can factor out the 3. This leaves behind (h + 6).

h•3 + 6•3

= 3(h + 6)

Its like "un-distributive" property. (this is not a technical term)

c) Calculate the percentage his peanuts. 2. Sipho's aunt sells her business and the new owner is not prepared to supply Sipho with free packaging. He now has to buy the packets and pays R50 for 1 000 packets. a) Calculate what one packet costs him. b) If Sipho continues to sell the packets at R1 each, calculate the percentage profit that he will make on his peanuts. c) If Sipho wants to make the same profit on the peanuts as before, calculate what he should charge for a 100 g of peanuts. d) What practical problem do you foresee in the case of Question 2. c)? e) Describe how you would advise Sipho to price his peanuts. lu huving a product and selling it at a profit. (2)​

Answers

According to the given problem,

(i) It is given that,

The cost price of 1000 packets of peanuts = Rs. 50

We need to find the cost price of 1 packet of peanut = [tex]\frac{50}{1000}[/tex] = Rs. 0.05

(ii) Selling price at which Sipho continues to sell 1 packet = Rs. 1

Then Selling price of 1000 packets = 1000 x 1 = Rs. 1000

Then Profit made by sipho = Selling Price - Cost Price

= 1000 - 50

= Rs.950

Profit percentage gained by Sipho = [tex]\frac{Profit}{Cost Price}[/tex] x 1000

= [tex]\frac{950}{50}[/tex] x 1000

= 1900 %

(iii) The profit earned by sipho remains same, we nee to find the cost price at which Sipho should sell 100gm of her peanuts is Rs. 1

(iv) I would advice Sipho to sell peanuts at a selling price more than the cost price in order to gain profit

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What is an equation in point-slope
form of the line shown in the
graph, using the point (2, 2)?
8
6
4
2
OY
y
2
x^
X

Answers

Answer:

Step-by-step explanation:

Jan 15, 2020 — this line also pass through 0,8 and 2,2. slope is -3. the equation is y-2= -3(x-2). heart outlined. Thanks 10.

2 answers

·

10 votes:

Answer:this line also pass through 0,8 and 2,2. slope is -3. the equation is y-2= -3(x-2)

Missing: OY ‎| Must include: OY

Question 17 of 25
What is the measure of BVD?
B
105⁰
V
D
A. 95°
B. 75°
C. 105°
D. 115°

Answers

C that's because the angles are vertically opposite

Helena was curious if quadrilaterals QRSTQRSTQ, R, S, T and XYZWXYZWX, Y, Z, W were congruent, so she tried to map one figure onto the other using transformations:

Answers

Helena came to the right conclusion because the transition of quadrilaterals is accurately depicted.

Given,

Two quadrilaterals = QRST and XYZW

Helena came to the right conclusion because the transition of quadrilaterals is accurately depicted.

How should the facts be explained?

According to the information provided, Helena was interested to know whether the quadrilaterals were congruent.

The quadrilaterals in this instance cannot be mapped into one another via a series of stiff transformations, hence they are not congruent.

As a result, no mistakes are made.

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HELP PLEASE DONT IGNORE

Answers

Answer:

Y=3/4x-2

Step-by-step explanation:

Atleast I think so

Answer:

y=3/4x-2

Step-by-step explanation:

y=mx+b

Y= 3/4x-2 because you rise 3 run 4 and the line crosses the y-axis at the point (0, -2)

( 50 points ) Can some1 help me figure out these ???

Answers

Volume of boxes as per condition given:

a. Volume of fish food cube=(1/64) ft³

b. Volume of big box=(1/32)ft³

c. Volume of shipping box=(585/16) ft³

As given,

Dimensions of fish food cubes:

Length=1/4 ft

Width=1/4 ft

Height=1/4ft

a. Volume of fishing food cube=Length ×width ×height

                                                     =(1/4)×(1/4)×(1/4)

                                                     =(1/64)ft³

b. Volume of big box

=(Number of boxes) ×(volume of fishing food cubes)

=2×(1/64)

=(1/32)ft³

c. Dimensions of shipping box

Length=3ft

Width=3 3/4 ft

         =15/4 ft

height=3 1/4 ft

          =13/4 ft

Volume of shipping box=3 × (15/4) ×(13/4)

                                              =(585/16) ft³

Therefore, volume of boxes as per condition given:

a. Volume of fish food cube=(1/64) ft³

b. Volume of big box=(1/32)ft³

c. Volume of shipping box=(585/16) ft³

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Determine whether the quadratic function shown below has a minimum or maximum, then determine the minimum or maximum value of the function.

[tex]f(x)=f(x)=\,\,-2(x-3)^2+5−2(x−3) 2 +5[/tex]

Answers

f(x) is maximum at x=3 and the maximum value of f(x) = 5.

The highest and smallest values of a function, respectively, can either be found inside a specific range or across the entire domain. They are sometimes referred to collectively as the function's extrema. The plural forms of the maximum and minimum functions are maxima and minima, respectively.

The given quadratic function is [tex]f(x) = -2 (x-3)^{2} +5[/tex]

Comparing it with [tex]f(x) = a (x-h)^{2} +k[/tex]

Here, a= -2, h =3 and k = 5.

Since a is negative, so parabola is open downward.

Therefore, the quadratic function has a maximum value.

Here, the vertex is (h,k) =(3,5)

Therefore, f(x) is maximum at x=3 and the maximum value of f(x) = 5.

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Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.​

Answers

-13
20
-13/20 or -13 over 20 as a fraction

Solve the equation.

2x^2 = -128

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: 8i[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: 2 {x}^{2} = - 128[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: {x}^{2} = - \frac{ 128}{2} [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: {x}^{2} = - 64[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: x = \sqrt{ - 64} [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: x = \sqrt{( - 1) \sdot(64)} [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: x = \sqrt{ 64} \sdot \sqrt{ - 1} [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: x = 8 \sdot i[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: x = 8i[/tex]

[ i = iota, and i² = -1 ; (complex number) ]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

[tex]x=8i[/tex]

Step-by-step explanation:

Given equation:

[tex]2x^2=-128[/tex]

Divide both sides of the equation by 2:

[tex]\implies \dfrac{2x^2}{2}=\dfrac{-128}{2}[/tex]

[tex]\implies x^2=-64[/tex]

Square root both sides:

[tex]\implies \sqrt{x^2}=\sqrt{-64}[/tex]

[tex]\implies x^2=\sqrt{-64}[/tex]

Rewrite -64 as 8² · -1:

[tex]\implies x=\sqrt{8^2 \cdot-1}[/tex]

[tex]\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}:[/tex]

[tex]\implies x=\sqrt{8^2}\sqrt{-1}[/tex]

[tex]\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0:[/tex]

[tex]\implies x=8\sqrt{-1}[/tex]

[tex]\textsf{Since $\sqrt{-1}=i$}[/tex]

[tex]\implies x=8i[/tex]

Imaginary numbers

Since there is no real number that squares to produce -1, the number [tex]\sqrt{-1}[/tex] is called an imaginary number, and is represented using the letter i.

An imaginary number is written in the form [tex]bi[/tex], where [tex]b \in \mathbb{R}[/tex].

Evaluate the expression if a = 2 , b = − 3 , c = − 4 , h = 6 , y = 4 , and z = − 1 . | a − 5 | − 1

Answers

The solution to the expression | a − 5 | − 1 is 2

What are expressions?

Expressions are mathematical statements that are represented by variables, coefficients and operators

How to evaluate the expression?

The expression is given as

| a − 5 | − 1

Also, we have the values to be

a = 2 , b = − 3 , c = − 4 , h = 6 , y = 4 , and z = − 1

Substitute these values in the given equation

So, we have the following equation

| a − 5 | − 1 = | 2 − 5 | − 1

Evaluate the difference

So, we have the following equation

| a − 5 | − 1 = | −3 | − 1

This gives

| a − 5 | − 1 = 3 − 1

Evaluate the difference

| a − 5 | − 1 = 2

Hence, the value is 2

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HELP PLEASE!! due at 8pm tonight.

Answers

Answer:

y=-1/3x+5

Step-by-step explanation:

Use rise/run

Solve the system of linear equations using the substitution method.

X = 5 and 2x + y = 10

A. (5, -5)

B. (5, 0)

C. (2, -2)

D. (2, -1)

Answers

Answer:

B

Explanation:

x = 5

2x + y = 10

Substitute x = 5 into 2x + y = 10

2(5) + y = 10

10 + y = 10

y = 0

Hence, coordinates are (5,0).

the record high January temperature in Austin, Texas, is 90F. the record low January temperature is -2F. Find the difference between the high and low temperatures.

Answers

Answer:

92F

Step-by-step explanation:

the record high January temperature in Austin, Texas, is 90F. the record low January temperature is -2F. Find the difference between the high and low temperatures.

= 90 - (-2)

= 90 + 2

= 92F

Determine the value of y in the inequality.

18 + 6y < 42

Answers

Answer:

y<4

Steps:

18 + 6y < 42

6y < 42 - 18

y < 24/6

y < 4

Answer:

y<4

Step-by-step explanation:

18+6y<42

Subtract 18 from both sides.

6y<42−18

Subtract 18 from 42 to get 24.

6y<24

Divide both sides by 6. Since 6 is positive, the inequality direction remains the same.

[tex]y < \frac{24}{6} [/tex]

Divide 24 by 6 to get 4.

y<4

Use the graph on the right to locate points D, E, and G
5. Locate D so that ABCD is a rectangle.
6. Locate E so that ABCE is a trapezoid
7. Locate G so that ACBG is a parallelogram that is not a rectangle

Answers

The graph on the right to locate points D, E, and G is, 5.D(0, 3), 6.  E(0, 2),  7. G(0, -3).

What is graph?
In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way.

Here, for instance, we can plot a graph showing the type and quantity of school supplies used by pupils in a class based on the data provided below.

Rectangle: Rectangles have parallel opposite sides; therefore, D must be positioned such that CD is parallel to AB and AD is parallel to BC. This necessitates that point D be.
D(0, 3)

Trapezoid: A trapezoid has one set of parallel opposed sides. As a result, we must select point E such that either AE or CD are parallel to AB.
We have picked point E in the accompanying picture so that AE and BC are parallel.
E(0, 2)

Keep in mind that point E might be somewhere left of point C on line y=3 or above point A on line x=0. Point D and point E cannot be in the same place.
E(0, p) or E(q, 3) where p > 0, q < 8, and p≠3, q≠0

Parallelogram: The middle of each parallelogram is where its diagonals connect. As a result, the midway of AB and CG must coincide. We need to have... in order for that to occur.
A + B = C + G
G = A + B - C = (0, 0) +(8, 0) -(8, 3) = (0+8-8, 0+0-3) = (0, -3) (0, -3)
Point G is located where...
G(0, -3)

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Determine which integers in the set S: {2, 3, 4, 5} will make the inequality 2p 8 < 5p + 4 true. S:{2, 3} S:{3, 4} S:{4, 5} S:{2, 5} Choose the slope and y intercept on the graph 50 points Harriet sells prints of her photographs, and is deciding what her minimum order should be during a sale. The equation that relates to her profit, y, from a minimum order of size x is 12x - 4y = 48.Part AWhat are the x-intercept and the y-intercept of the graph of her profit?A. X-intercept: 3; y-intercept: -12B. X-intercept: 4; y-intercept: 12C. X-intercept: 4; y-intercept: -12D. X-intercept: 3; y-intercept: 12Part BWhat should her minimum order size be, to make a profit? 3. Using Incident as a model, outline the structure of a pantoum.IncidentWe tell the story every yearhow we peered from the windows, shades drawnthough nothing really happened,the charred grass now green again.We peered from the windows, shades drawn,at the cross trussed1 like a Christmas tree,the charred grass still green. Thenwe darkened our rooms, lit the hurricane lamps.At the cross trussed like a Christmas tree,a few men gathered, white as angels in their gowns.We darkened our rooms and lit hurricane lamps,the wicks2 trembling in their fonts of oil.It seemed the angels had gathered, white men in their gowns.When they were done, they left quietly. No one came.The wicks trembled all night in their fonts of oil;by morning the flames had all dimmed.When they were done, the men left quietly. No one came.Nothing really happened.By morning all the flames had dimmed.We tell the story every year. In the Library Guide you will watch "The Incredible Journey of Elon Musk - The Story of Tesla". Leaders often have to take risks and make unfavorable decisions. After reviewing the video,What leadership style or styles did Musk exhibit?Do you think there were benefits and drawbacks of his decisions?As a leader, would you have handled the situation the same or differently? Why or why not? Do you think there would be an ethical concern(s)? If so, what?https://smallbusiness.chron.com/5-different-types-leadership-styles-17584.htmlDont copy internet Why did indigenous cultural practices and traditions changes occur? (Provide 2 detailed reasons) If triangles MNP is an equilateral triangle, find x and the measure of each side. I need help on this please! crate A exerts a force of 8320N and a pressure of 64N/cm2. crate B exerts a force of 9860N and a pressure of 29N/cm2. find the difference between the base areas of the crates in cm2 The probability that a health nurse will find a client at home on a particular day is 0.7. what is the probability that on two home visits made by the nurse in a day, she will find each client at home? How did Octavian seek to improve Roma goverment and society list three specific ways A radio station emits radiation at wavelength of 3.10m. What is the stations frequency in megahertz? The radioactive isotope 14C has a half-life of approximately 5715 years. Now there are 50g of 14C.(1) How much of it remains after 1600 years? (Round your answer to three decimal places.) g Tries 0/99(2) How much of it remains after 16000 years? (Round your answer to three decimal places.) g Tries 0/99 in order to measure the properties of a battery, several resistors are connected to the battery in series and the terminal voltage is measured. in the first case, the resistor has resistance r1 n open rectangular box is formed by cutting congruent squares from the corners of a piece of cardboard and folding the sides up. if the original piece of cardboard was 24 inches by 45 inches, what are the dimensions of the box with maximum volume? No tengo dinero en efectivo. Tengo que pagar con Write the appropriate subjunctive or indicative form of the verb. Why does oxygen bond with hydrogen in the ratio 1:2 (and how can you apply this concept to other element compounds)? From the third rule you know that if a rope passes over a pulley, the tension in the rope is unaffected. With this observation in mind, what is the magnitude of the tension in the second rope? Add the forces acting on the block to find the magnitude, T2 , of the tension in rope 2 Randy has $12 which he decides to put into his savings account. Every week Randy does chores to earn a $6 allowance which he continues to save and put into his savings account.Like Randy, Becky decides to be more responsible with her money and also save her money. Right now she owes her parents $8. Becky also earns $7 a week for doing chores, If both Randy and Becky save up beginning today whose savings account would reach $50first?A. RandyB. BeckyC. They would reach $50 at the same time.D. There is not enough given information to determine who will save up $50 first