what is 2 * 3 ^ 2 - 1​

The correct simplification of the expression is c12 (option c).

The expression (c^4)^3 can be simplified using the exponent rules for powers of a power, which states that when a power is raised to another power, we can multiply the exponents.

Thus, we have:

(c^4)^3 = c^(43) [Using the rule (a^m)^n = a^(mn)]

Simplifying the exponent 4*3, we get:

c^(4*3) = c^12

Therefore, the correct simplification of the expression is c^12.

Option (c) is the correct answer as it correctly represents the simplified form of the given expression. Option (a) c^-1, option (b) c^7, and option (d) c^64 are not correct because they do not follow the exponent rules used to simplify the expression.

In summary, the expression (c^4)^3 simplifies to c^12, which is option (c) in the given options.

To learn more about exponent rules

https://brainly.com/question/29125740

#SPJ4

When we measure a ECG waveform the large boxes represents 0.2 seconds.

To determine the measurements of the big box on ECG paper, we need to consider the standard calibration of ECG paper.

In most ECG papers, the standard calibration is as follows:

These measurements allow for accurate interpretation of the ECG waveform and analysis of heart activity.

Learn more about ECG here:

https://brainly.com/question/30410077

#SPJ1

Answer:

\( \sqrt{ \frac{1183025779}{956238} } \)

I'm not sure

Answer:

0.036

Step-by-step explanation:

0.7423/(16.18*35*46) = 0.7423/573.743 = 0.0013

log √0.0013 = 1/2 log 0.0013

                    = 1/2* (-2.888)

                    = -1.444

√0.7423/(16.18*35.46) = 10^(-1.444) = 0.036

Answer:

Its the third and fourth answer

The equation to isolate q: q = (m * g * r²) / (k * Q).

Tthe value of q for the sphere to remain motionless when released, we must consider the forces acting on it.

Identify the forces acting on the sphere. There are two main forces: gravitational force (Fg) acting downward, and electrostatic force (Fe) acting upward due to the charge q.

In order for the sphere to remain motionless, these forces must be balanced. This means that the gravitational force (Fg) must equal the electrostatic force (Fe).

Calculate the gravitational force using the formula Fg = m * g, where m is the mass of the sphere and g is the acceleration due to gravity (approximately 9.81 m/s²).

Calculate the electrostatic force using the formula Fe = k * (Q * q) / r², where k is the electrostatic constant (approximately 8.99 × 10⁹ N·m²/C²), Q is the charge of the sphere, q is the unknown charge we're trying to find, and r is the distance between the charges.

Equate the two forces (Fg = Fe) and solve for q. You should have an equation that looks like this: m * g = k * (Q * q) / r².

Rearrange the equation to isolate q: q = (m * g * r²) / (k * Q).

Plug in the known values for m, g, r, k, and Q to solve for q.

By following these steps and inputting the given values, you will be able to determine the value of q required for the sphere to remain motionless when released.

Learn more about sphere

brainly.com/question/11374994

#SPJ11

Total price paid by Michael for the basket of mangoes is $4.48.

For the calculation of total price, price of sales tax will be added with selling price. Forming the equation -

Total price = 4 + 12%×4

Calculating the percentage of sales tax on Right Hand Side of the equation

Total price = 4 + 12×4/100

Solving the percentage part on Right Hand Side of the equation

Total price = 4 + 0.48

Performing addition on Right Hand Side of the equation

Total price = $4.48

Hence, Michael has to pay $4.48 after addition of sales tax for the basket of mangoes.

Learn more about sales tax -

https://brainly.com/question/9437038

#SPJ4

Learn more

The area of the sector of circle is solved

Given data ,

The formula for Area of a sector is given as;

A = θ/360 x πr²

where;

θ is the central angle of the sector

r is radius

Calculate the sector's central angle (). This angle, which is made up of the circle's two radii, is often expressed in degrees.

Calculate the circle's radius (r). The radius is the distance along the circle's circumference from any point to the centre.

If the angle is given in degrees, convert it by multiplying it by /180.

Hence , the area of the sector is A = θ/360 x πr²

To learn more about area of sector click :

https://brainly.com/question/28180776

#SPJ1

Based on the given statement, the correct answer would be:

option A. The statement makes sense. Sally listens to music when she is depressed. If she is listening to music, then Sally must be depressed.

The given statement is discussing a potential relationship between Sally's emotional state of being depressed and her behavior of listening to music. The question asks whether the statement makes sense, is clearly true, or does not make sense, and provides four options to choose from.

Option A states that the statement makes sense and suggests that if Sally is listening to music, then she must be depressed. This option is reasonable because the statement establishes a connection between Sally's depression and her behavior of listening to music. It implies that listening to music is a coping mechanism or an activity she engages in when she experiences depressive feelings.

Therefore, if someone observes Sally listening to music, it can be inferred that she might be in a depressed state at that moment.

On the other hand, options B and C can be eliminated because they make extreme and unsupported claims. Option B suggests that Sally only listens to music when she is depressed, which is not explicitly stated in the given statement. Option C states that if Sally is listening to music, then she must not be depressed, which contradicts the initial connection established between depression and listening to music in the statement.

Option D highlights the incomplete nature of the statement but does not render it entirely senseless. It acknowledges that the statement mentions Sally's behavior of listening to music when she is depressed but does not provide information about other potential reasons she might listen to music.

In summary, option A is the most appropriate choice as it aligns with the established correlation between Sally's depression and her listening to music, while considering the possibility of other reasons for her music listening behavior.

To know more about  logical reasoning refer here:

https://brainly.com/question/32269377?#

#SPJ11

Step-by-step explanation:

PLS MARK ME AS BRAIN LIST ANSWER

Answer:

5

Step-by-step explanation:

9×5/9=45/9

=5

just multiply the stuff in parantheses and then add and then divide.

Answer:

5

Step-by-step explanation:

3^2*(2+3); 9*5=45

(2+1)*3; (3)*3=9

So 45/9 =5

the proportions are the same the function is linear.

What is a function?

A function is a special form of relation where each input has exactly one output. In other words, for each input value, the function returns exactly one value. A relation rather than a function is depicted in the above graph since one is mapped to two different values. However, if one were instead mapped to a single value, the relationship described above would change into a function. Furthermore, output values could match input values exactly.

The function machine receives the x-values as input. After finishing its operations, the function machine produces the y-values. Any function may be the one within.

Given table of data x and f(x)

the proportion -3/1, -3/1, -3/1...

As the proportions are the same the function is linear.

Learn more about function, by the following link.

https://brainly.com/question/25638609

#SPJ1

Answer:x=-4

Step-by-step explanation

1. Set y as 0. Doing so will help you solve for x

3x +20(0)=-12 aka 3x=-12

2. Divide each sides by 3

3x(divided by three) = -12 (divided by three)

x=-4

(your answer would be negative because a negative divided by a postitive is negative.)

Answer:

\(y=-0.667x+-10\)

Step-by-step explanation:

Given the following question:

Point A = (-9, -4), (x1, y1)
Point B = (-6, -6), (x2, y2)

\(m=\frac{y2-y1}{x2-x1}\)
\(m=\frac{-6--4}{-6--9} =\frac{-2}{3}\)
\(m=\frac{-2}{3}\)

Write in slope intercept form:

\(y=mx+b\)
\(m=\frac{-2}{3}=-2\div3=-0.667\)
\(y=-4\)
\(x=-9\)
\(-4=-0.667\times-9+b\)
\(-0.667\times-9=6\)
\(b=-10\)
\(y=-0.667x+-10\)

Hope this helps.

Answer:

x = 29

Step-by-step explanation:

ΔABC ≅ ΔDEC,

So, ∠BAC  ≅∠CDE    {Corresponding parts of congruent triangles}

∠BAC = 74°

InΔABC,

∠ABC + ∠BAC + ∠BCA = 180

2x + 74 + 48 = 180

2x + 122 = 180  

Subtract 122 from both sides

2x = 180 - 122

2x = 58

Divide both sides by 2

x = 58/2

x = 29

The apothem is the perpendicular distance from the center of a regular polygon to any one of its sides.

A closed, two-dimensional, flat or planar structure with straight sides is referred to as a polygon. Its sides do not bend in any way. A polygon's sides are also referred to as its edges. A polygon's vertices (or corners) are the places where two sides converge. Polygons and polyhedrons are two names for geometric shapes having three or more sides. The names of a few polygons are listed below. In order to link and develop projects and blockchains that are compatible with Ethereum, Polygon (MATIC), a cryptocurrency and technological platform, was introduced. A polygon is a fully closed, two-dimensional (2D), flat form with straight sides (all the sides are joined up). They must have straight sides. Any number of sides can be found in polygons.

To know more about polygon here

https://brainly.com/question/1592456

#SPJ4

Imagine a bunch of 12-year cicadas along with some 13-year cicadas. Assume this is the exact moment where predators are around.

Both groups face predators no matter their age. For the next cycle, 13-years cicadas will be 15, and 12-years cicadas will be 14 and they will face predators just the same.

So, once they are grown-up cicadas, they face the dangers in the same way at the same frequency.

Now analyze their whole lifetime. Today a new cicada was born and the next cycle of predators will be 2 years from now. Next year a new cicada will be born and the next cycle is only one year ahead.

This means that the next cycle of predators finds the older cicada for the first time and also for the new cicada. And for the rest of their lifetimes, no relative advantage is found for either of them, with the possible exception that older cicadas may be more prepared to avoid the danger.

So my best answer is NO.

Answer:

rfcec

Step-by-step explanation:

Step-by-step explanation:

A o option

-(-45)

hope it helps

The independent variable is time (hours), and the dependent variable is cost ($). The given relation is linear because it has a constant rate of change. The initial value for this relation is $240 and the rate of change is $30 per hour.

The table for the given relation is

Time (hours)                  Cost ($)

    0                                    240

    2                                    300

    4                                    360

    6                                    420

    8                                    480

    10                                   540

    12                                   600

    14                                   660

In this relation, the independent variable is time (hours), and the dependent variable is cost ($). The time is the input to the relation, and the cost is the output that is dependent on the input.

We can see that this relation is linear because it has a constant rate of change. The cost increases by $30 for each hour of work, which means that the slope of the line is constant.

The initial value for this relation is $240, which represents the cost of the full landscape plan. The rate of change is $30 per hour, which represents the additional cost for each hour of work. Therefore, the equation for this linear relation is

Cost = 30 x Time + 240

where "Cost" is the cost in dollars, "Time" is the time in hours, 30 is the rate of change, and 240 is the initial value.

To know more about relation here

https://brainly.com/question/14736401

#SPJ1

A hsitogram is a plot that shows the frequency distribution of a set of continuous data

A stem plot is a technique use to classify either duscrete or continuous variable

The best reason for choosing a stemplot rather than a histogram to display the distribution of a quantitative variable is b) Stemplots allow you to see the values of individual observations

The equation showing the relation between shorter and longer skirt is 3s+4t = 140.

Given that the Scottish dance team used 140 yards of tartan to make dancing skirts.

The skirt pattern for the shorter members is 3- yards of fabric, and the skirt pattern for the taller members is 4 yards of fabric.

So, we need to find the equation represents the relationship between the number of short skirts and the number of long skirts that were made,

So, if there are s short skirts and t long skirts,

So,

The relation will be =

3s + 4t = 140

Hence the equation showing the relation between shorter and longer skirt is 3s+4t = 140.

Learn more about equation click;

https://brainly.com/question/29657983

#SPJ1

Answer:

girl u didnt add the question...

Step-by-step explanation:

Step-by-step explanation:

Here's a little tip for you. Any number can be converted to fraction if you use 1 as the denominator:

21

1

So now that we've converted 21 into a fraction, to work out the answer, we put the fraction 2/7 side by side with our new fraction, 21/1 so that we can multiply those two fractions.

That's right, all you need to do is convert the whole number to a fraction and then multiply the numerators and denominators. Let's take a look:

2 x 21

7 x 1

=

42

7

In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers.

You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 42 and 7 is 7.

We can now divide both the new numerator and the denominator by 7 to simplify this fraction down to its lowest terms.

42/7 = 6

7/7 = 1

When we put that together, we can see that our complete answer is:

6

1

The complete and simplified answer to the question what is 2/7 of 21 is:

6

The recommended approach when choosing between one-tailed and two-tailed tests is to use a two-tailed test only.

The choice between a one-tailed or two-tailed test should be based on the research hypothesis and the specific question being investigated.

If you have a convincing reason for not predicting a direction, and use the one that is most likely to produce significant results.

If the research hypothesis or question does not make a clear directional prediction, then a two-tailed test would be appropriate.

This is because a two-tailed test will consider the possibility of significant results in both directions of the distribution.

And is more conservative in its estimation of significance.

If the research hypothesis or question does make a clear directional prediction, then a one-tailed test would be appropriate.

This is because a one-tailed test will only consider the possibility of significant results in one direction of the distribution.

And is more powerful in detecting significant results in that specific direction.

Therefore, the answer is to use a two-tailed test only if you have a convincing reason for not predicting a direction, and use the one that is most likely to produce significant results.

Learn more about tailed test here

brainly.com/question/17204018

#SPJ4

Answer:

m = -1/3

Step-by-step explanation:

To get the slope of the line, we identify two points on the line and use the slope formula

We can have the points (-2,3) and (1,2)

We have the slope formula as;

m = (y2-y1)/(x2-x1)

m = (2-3)/(1 + 2) = -1/3

Answer:

nnnnnnnnnnnnoooo clueeeeeeeeee

Step-by-step explanation:

Answer:

the equation would be x+2x=30. to solve you combine 2x and x to get 3x=30 then divide both sides by 3 to get x=10 hours in the first month.

Step-by-step explanation:

For base case: mysquare(1) = 1; recursive case: mysquare(n) = mysquare(n-1) + 2n -1, there will be 5 method calls to mysquare for mysquare(5).

Recursive square method is adaptive filter algorithm that recursively finds the coefficients that minimize a weighted linear least squares cost function relating to the input signals.

For mysquare(5), we have:

mysquare(5) = mysquare(4) + 9

           = mysquare(3) + 7 + 9

           = mysquare(2) + 5 + 7 + 9

           = mysquare(1) + 3 + 5 + 7 + 9

           = 1 + 3 + 5 + 7 + 9

           = 25

Therefore, there will be 5 method calls to mysquare for mysquare(5)

Learn more about recursive here:

https://brainly.com/question/30027987

#SPJ11

Answer:

mean= 12

median= 10

mode= 10

Step-by-step explanation:

mean: add up all values, then divide by how many values you have(84/7=12)

median: when sorted, value in middle(See pic)

mode: value that appears most

\(135 = \frac{22 + 8}{2} \times h \\ 135 = \frac{30}{2} \times h \\ 135 = 15 \times h \\ h = \frac{135}{15} \\ h = \frac{27}{3} = 9cm\)

Answer:

Area of a trapezoid :

\(area = \frac{a + b}{2} h\)

The measures given are trapezoid

Area = 135

base 1 = 22

base 2 = 8

\(135 = \frac{22 + 8}{2} h \\ \\135 = \frac{30}{2} h \\ 2(135) = ( 2)\frac{30}{2} h \\ 270 = 30h \\ \frac{270}{30 } = \frac{30h}{30} \\ 9 = h\)

Step-by-step explanation:

We can check if the answer is right

\( \frac{22 + 8}{2} \times 9 \\ \frac{30}{2} \times 9 \\ 15 \times 9 = 135\)

The inverse function that represents the gallons g as a function of miles m is:

               g = m/35.

What is meant by the inverse of a function?

A function takes in values, applies specific operations to them, and produces an output. The inverse function acts, agrees with the outcome, and returns to the initial function.

A function that can reverse into another function is known as an inverse function. In other words, the inverse of a function "f" will take y to x if any function "f" takes x to y. When a function is written as "f" or "F," its inverse is written as " f ⁻¹ " or " F ⁻¹."

Given a function m = 35g

 where m = distance in miles travelled by the truck

            g = gallons of gas used to travel m distance

If the function is m = 35g

Then the inverse function is g = m/35.

The inverse of the given function tells us how many gallons of gas are needed for a given number of miles.

Therefore the inverse function that represents the gallons g as a function of miles m is:

               g = m/35.

To learn more about inverse functions, follow the link.

brainly.com/question/3831584

#SPJ1