This question is confusing me

Answer:

2y

Step-by-step explanation:

To find the GCF ( Greatest Common factor), for an algebraic expression like the one given, all you have to do if look over the expression and circle all the terms they both share, in this case, both 4yz and 2y^2 had 2y in them, except in different forms.

If you find it difficult to recognize the similarities, divide the expressions as much as you can.

Hope this helps

Answer:

Step-by-step explanation: I am sorry but i don't understand a single thing:(

1) According to the exponent's law, any exponent whose base is 1, that yields 1. For example

2) The same does not happen to 0.1

Since 0.1 is a fraction, we'll raise to the 4th power 1 and 10 simultaneously, as a ratio.

3) So the answer is

Answer:

Coordinates: (0,0) ; (1,5) ; (2,10)

Step-by-step explanation:

x  |  y

0  0

1   5

2  10

Coordinates: (0,0) ; (1,5) ; (2,10)

This should be a straight line that is going diagonally with a positive slope.

The statistical range that takes random error into account, with a given probability, is known as the confidence interval. It provides a measure of uncertainty associated with a particular estimate or sample statistic. In the first paragraph, we'll provide a summary of the answer.

A confidence interval consists of two values, an upper and a lower bound, within which the true population parameter is likely to fall. The range is determined by the desired level of confidence, often expressed as a percentage (e.g., 95% confidence interval). The confidence interval considers both the variability within the sample data and the desired level of certainty. It acknowledges that due to random sampling error, the estimate obtained from a sample may differ from the true population parameter. In the second paragraph, we'll delve into an explanation of the answer.

To understand confidence intervals, we need to consider the concept of sampling variability. When we collect a sample from a population, it's rare for the sample to perfectly represent the entire population. There will be inherent variation due to random chance. This variability is known as sampling error. Confidence intervals take into account this sampling error and provide a range of values within which the true population parameter is likely to exist.

The level of confidence chosen for the interval represents the desired probability that the range will contain the true parameter. Commonly used confidence levels are 90%, 95%, and 99%. For example, a 95% confidence interval implies that if we were to repeat the sampling process many times, 95% of the resulting intervals would contain the true population parameter. The wider the interval, the higher the level of confidence, and vice versa.

In conclusion, a confidence interval is a statistical range that incorporates random error and provides an estimate of the likely range within which the true population parameter exists. It considers the desired level of confidence and takes into account the inherent variability due to random sampling error. Confidence intervals are an essential tool in statistical inference, allowing researchers and analysts to quantify the uncertainty associated with their estimates and draw meaningful conclusions from sample data.

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Required value of the given expression is (1+√2)

Given expression is \(tan \frac{11\pi}{8} \)

We want to solve it.

Now,

\( \tan( \frac{11\pi}{8} ) = \tan( \frac{3\pi}{8} + \frac{8\pi}{8} ) \\ = \tan( \frac{3\pi}{8} + \pi ) \\ = \tan( \frac{3\pi}{8} ) \)

Finding \( \tan( \frac{3\pi}{4} ) \)

Let,

\( \tan(2t) = \tan( \frac{3\pi}{4} ) = - 1\)

Use half angle identity,

\( \tan(2t) = \frac{ 2\tan(t) }{1 - {tan}^{2} t} \\ - 1 = \frac{ 2\tan(t) }{1 - {tan}^{2} t} \\ {tan}^{2} t - 2tant - 1 = 0\)

Let,\(x = tant\)

So,\( {x}^{2} - 2x - 1 = 0\)

Now, \(x = 1 \pm \sqrt{2} \)

So,

\(tant = tan \frac{3\pi}{8} = 1 \pm \sqrt{2} \)

\(tan \frac{3\pi}{8} \) is positive,then required value is 1+√2.

So, option D is the correct answer.

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17 is 60.7% percentage of the number 28.

percentage, a relative value indicating hundredth parts of any quantity.

We have to find what is 17 in 28.

To find this we have to multiply x with 100 and divide it by hundred which is equal to seventeen

x/100×28=17

0.28x=17

Zero point two eight times of x equal to seventeen

Divide both sides by 0.28

x=17/0.28

We get sixty point seven one percentage

x=60.71%

Hence,17 is 60.7% percentage of the number 28.

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Answer:

False

Step-by-step explanation:

−111−9  =  −121+17

−120 ≠ −104

To find the volume generated by rotating the region bounded by the curves y = 12 - 6x, y = 0, x = 0, about the axis x = -1, we can utilize the method of cylindrical shells. By integrating the volume elements represented by cylindrical shells, we can determine the total volume.

The method of cylindrical shells involves considering infinitesimally thin cylinders (shells) with radius r and height h that approximate the shape of the solid. To find the volume generated, we integrate the product of the circumference of each cylindrical shell, the height of the shell, and the thickness of the shell.

In this case, the region bounded by the curves y = 12 - 6x, y = 0, x = 0 forms a triangular region in the first quadrant. By rotating this region about the axis x = -1, we generate cylindrical shells with radii equal to the distance between the axis of rotation (-1) and the corresponding x-values on the curves. The height of each shell is given by y = 12 - 6x.

To calculate the volume, we integrate the expression for the circumference of a cylinder (2πr) multiplied by the height of the shell (y = 12 - 6x) and the thickness of the shell (dx) over the appropriate range of x-values. The lower limit of integration is 0, and the upper limit is determined by solving the equation 12 - 6x = 0 to find the x-value at which the curves intersect.

By performing the integration and evaluating the definite integral, we can determine the volume generated by the rotation.

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The equation of the quadratic graph with a focus of (5,-1) and a directrix of y=1 is (x - 5)^2 = 4(y + 1).

For a quadratic graph, the focus and directrix determine its shape and position. The focus is a point that lies on the axis of symmetry, while the directrix is a line that is perpendicular to the axis of symmetry. The distance between any point on the graph and the focus is equal to the distance between that point and the directrix.

1) Determine the axis of symmetry.

Since the directrix is a horizontal line (y=1), the axis of symmetry is a vertical line passing through the focus, which is x = 5.

2) Determine the vertex.

The vertex is the point where the axis of symmetry intersects the graph. In this case, the vertex is (5,0), as it lies on the axis of symmetry.

3) Determine the distance between the focus and the vertex.

The distance between the focus (5,-1) and the vertex (5,0) is 1 unit.

4) Determine the equation.

Using the vertex form of a quadratic equation, (x - h)^2 = 4p(y - k), where (h,k) is the vertex and p is the distance between the vertex and the focus, we substitute the values: (x - 5)^2 = 4(1)(y - 0).

Simplifying the equation, we get (x - 5)^2 = 4(y + 1).

Hence, the equation of the given quadratic graph is (x - 5)^2 = 4(y + 1).

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Answer:

x=9

Step-by-step explanation:

because its isosceles, and as stated PQ = QR

so...

2x+1=3x-8

solve for x

x=9

Hope you are having a good day!

Answer:

The value of X in isosceles triangle is 9

The group that would be the most stable based on size would be 10 people. So, the correct answer is c. 10 people.

A group is a set of people or objects that are deemed to be equivalent or share a common feature. Group members may collaborate and share knowledge to achieve a common goal. The group's performance is frequently greater than the sum of its members' individual efforts, and this is known as the group effect.

Group stability is defined as the ability of a group to remain together and keep working toward its objective over time. It is essential for a group to achieve its objectives and is typically linked to the group's size and objective. A stable group can withstand external pressures and is less susceptible to breaking up or being disbanded.

A group's size has a significant influence on its stability. Small groups are often more cohesive and productive than large groups. On the other hand, as a group's size grows, it becomes more challenging to sustain cohesion and productivity. A group of 10 people would be the most stable since it's not too large or too small. Thus, the correct option is c. 10 people.

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Answer:

Answer:

The principal, real, root of:

9–√2

=3

All roots:

3

−3

9 is a perfect square

Answer:

The principal, real, root of:

25−−√2

=5

All roots:

5

−5

25 is a perfect square

Step-by-step explanation:

the first one is for the 9 and the second one is for the 50

Answer:

(0, 8) on the first question and 4 on the second question

Answer:

60 degrees

Step-by-step explanation:

Answer:

C 60*

Step-by-step explanation:

Answer:

\(D. a = 40; b=140; c = 90\)

Step-by-step explanation:

\(a=2(20)\\\\=40\)

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

\(b=180-40\\\\=140\)

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

\(c=90\)

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

hope it helps...

have a great day!!

Answer:

100 boards

Step-by-step explanation:

Step one:

Given data

We are told that Cynthia was paid 20 cents per board for painting the fence

that is for 1 board painted she gets $0.2

If she was paid $10

let us find the number of boards she painted for $10

= 10/0.2

=50 boards

This means that the total boards were 50*2= 100 boards

\(a(n) = 3 + 5n\)

\(b(n) = - 2 + 6n\)

\(a(n) = b(n) \\ 3 + 5n = - 2 + 6n \\ 5 = n \\ n = 5 \: (6th \: term)\)

\(a(5) \: or \: b(5) = 3 + 5(5) = 28\)

Answer:

Area of bed = 17.5 ft²

Step-by-step explanation:

Given:

Length of bed l = \(5\frac{1}{4}\) = 21/4 ft

Width of bed b = \(3\frac{1}{3}\) = 10/3 ft

Find:

Area of bed

Computation:

Area = l x b

Area of bed = 21/4 x 10/3

Area of bed = 17.5 ft²

Answer:

I expect the correct answer

_6

.

Answer:

6

Step-by-step explanation:

because if u minus 39 from 45 u get six and same for the others

To determine the number of hours it took to service your mower when the charge was $90, we need to subtract the fixed service call fee ($50) from the total charge and then divide the remaining amount by the hourly rate of $80.

Let's denote the number of hours it took to service the mower as 'h'. The total charge for the service is given as $90.

To find the number of hours, we first subtract the fixed service call fee of $50 from the total charge: $90 - $50 = $40.

Next, we divide the remaining amount ($40) by the hourly rate of $80: $40 / $80 = 0.5 hours.

Therefore, it took 0.5 hours (or 30 minutes) to service your mower when the charge was $90.

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the answer for 135 times 12 is 1620

Answer:

1620

Step-by-step explanation:

u can time 12 by 135 or divide them

The probability of John picking a white shirt on Tuesday, given that he picked a black shirt on Monday, is 6/11.

The probability of John picking a black shirt on Monday and a white shirt on Tuesday, given that he picked a black shirt on Monday, can be calculated using conditional probability.

Let's denote the event "picking a black shirt on Monday" as A, and the event "picking a white shirt on Tuesday" as B. We want to find P(B|A), the probability of event B occurring given that event A has already occurred.

Out of the provided options, the correct answer is 6/12 or 1/2.

To explain why, we can consider the total number of possible outcomes when John picks a black shirt on Monday. Since there are 12 shirts in total (as given by the options), and John picked a black shirt on Monday, there are 11 shirts remaining for Tuesday.

Out of these 11 shirts, 6 of them are white shirts (as given by the option 6/12 or 1/2). Therefore, the probability of John picking a white shirt on Tuesday, given that he picked a black shirt on Monday, is 6/11.

It's important to note that the correct probability value may vary depending on the specific context or information provided.

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Step-by-step explanation:

steps are in the image above

Answer:

A = 37.1 square cm

Step-by-step explanation:

Composite Figures

The image shows a figure that can be seen as a composition of three regular shapes: two identical rectangles and a quarter of a circle.

The area of a rectangle of dimensions W and L is:

Ar = WL

And the area of a circle of radius r is:

\(Ac =\pi r^2\)

A quarter of a circle has an area of:

\(\displaystyle A_q =\frac{\pi r^2}{4}\)

The rectangles have dimensions of 5 cm by 3 cm, thus the area is:

Ar = 5 cm * 3 cm = 15 square cm

The quarter of a circle has a radius of r=3 cm, its area is:

\(\displaystyle A_q =\frac{\pi 3^2}{4}\)

Calculating:

\(\displaystyle A_q =7.07\text{ square cm}\)

The total area is twice the area of each rectangle plus the area of the quarter of a circle:

A = 2*15 + 7.07

A = 37.07 square cm

To the nearest tenth:

A = 37.1 square cm

Answer:

Step-by-step explanation:

The first one is equal to.  203/203 is equal to 1.  1 times any number is itself.

The second on is less than.  9/37 is a proper fraction and when a number is multiplied by a proper fraction, it gets smaller.

Answer:

42

Step-by-step explanation: