can somebody help me with this problem please​

Answer:

The answer is x = \(\frac{-5}{3}\).

Step-by-step explanation:

First, we expand the brackets. Therefore:

\(2x+6 = -4x+(-4)\)

\(2x+6 = -4x -4\)

Then, we separate the like terms:

\(2x+4x = -4-6\)

Then we add the like terms up and solve for x:

\(6x = -10\)

Therefore:

\(x = \frac{-10}{6}\)

which, simplified, is:

\(x = \frac{-5}{3}\).

Answer:

A, C, and E

Step-by-step explanation:

To solve this, you have to find the two circles with a center on the y-axis.

So let us find the centers of all the circles.

To find the center of a circle you have to look at the h and k values and do the opposite operation of the sign in front. The formula is \((x-h)^2+(y-k)^2=r^2\).

By applying this rule we can find that the center of the first circle is (0,3), the second circle is (0,5), the third circle is (4,0), the fourth circle's center is at (-6,0) and the last circle is (0,-8).

So after finding the centers we can eliminate two answers, Band D. The reason is those centers are found on the x-axis, but we are looking for the y-axis.

The next step would be to find the equations that have a diameter of 12.

To find the diameter you have to double the radius, so to find how much the radius would have to be you should divide 12 by 2. So the radius would have to be 6.

So based on the formula the radius is squared. So to find an equation that has a radius of 6 you would have to square 6 to get 36. So now we can have our answers of A, C, and E.

Answer:

(-1,-1)

Step-by-step explanation:

Midpoint equation: \((\frac{x_2+x_1}{2}, \frac{y_2+y_1}{2})\)

= \((\frac{-5/2+1/2}{2},\frac{-1/2-3/2}{2} )\)

= \((\frac{-2}{2},\frac{-2}{2})\)

=(-1,-1)

Use the formula and plug it in :)

Answer:

yes

Step-by-step explanation:

The slope of the regression line predicting y from x is 0.30.

Given that,

x              y

29          215

62          225

75          173

99         129

108        111

So, the coordinate points are (29, 215) and (62, 225)

The formula to find the slope of a line is slope = (y₂-y₁)/(x₂-x₁).

Here, slope = (225-215)/62-29)

= 10/33

= 0.30

Therefore, the slope of the regression line predicting y from x is 0.30.

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The true percentage of grocery shoppers that shop most frequently on Fridays from Monday to Friday, which is 20%, cannot be determined statistically. The value of p is 0.0130.

To solve this problem, we run a hypothesis test about the population proportion.

Proportion in the null hypothesis (p0) = 0.2

Sample size (n) = 75

Sample proportion (sp) = 24/75 = 0.32

Significance level = 0.01

\(H_{o}\) : p = 0.2

\(H_{a}\) : p ≠ 0.2

Test statistic percentage = ( \(sp\) - \(p_{o}\) ) / \(\sqrt{\frac{(p_{o})(1-p_{o} )}{n} }\)  

Left critical \(z_{0.01}\) = -2.5758

Right critical \(z_{0.01}\) = 2.5758

Calculated statistic = \(\frac{0.32-0.2}{\sqrt{\frac{(0.32)(1-0.32)}{75} } }\) = 2.2278

Since, -2.5758 < Test statistic < 2.5758, the null hypothesis cannot be rejected. There is not enough statistical evidence to state that the true proportion of grocery shoppers from Monday to Friday that goes most frequently on Fridays is different from 20%. The p - value is 0.0130.

Therefore,

The true percentage of grocery shoppers that shop most frequently on Fridays from Monday to Friday, which is 20%, cannot be determined statistically. The value of p is 0.0130.

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To find the value of the effective spring constant (k), we are given the masses of oxygen (16.0 atomic mass units) and carbon (12.0 atomic mass units). We will use this information to determine the value of k.

The effective spring constant (k) is a measure of the stiffness of the spring and is usually given in units of force per unit length or mass per unit time squared. In this case, we need to determine k based on the masses of oxygen and carbon.

To find k, we can use the formula for the effective spring constant in a molecular vibration system, which is given by:

K = (ω^2)(μ)

Where ω is the angular frequency of the vibration and μ is the reduced mass of the system.

Since we are given the masses of oxygen and carbon, we can calculate the reduced mass (μ) as follows:

Μ = (m1 * m2) / (m1 + m2)

Where m1 and m2 are the masses of oxygen and carbon, respectively.

Using the given masses:
M1 = 16.0 atomic mass units (oxygen)
M2 = 12.0 atomic mass units (carbon)

We can substitute these values into the equation for μ:

Μ = (16.0 * 12.0) / (16.0 + 12.0)
= 192.0 / 28.0
≈ 6.857 atomic mass units

Now, to find the value of k, we need the angular frequency (ω) of the vibration. Unfortunately, the angular frequency is not provided in the given information. Without the angular frequency, we cannot determine the exact value of k.

Therefore, we can calculate the reduced mass (μ) using the given masses of oxygen and carbon, but we cannot find the value of k without the angular frequency.

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Answer:

50 miles

Step-by-step explanation:

This represents a 3-4-5 right triangle, where 3-4-5 is the ratio. Multiply those numbers by 10 to get 30-40-50. 30 and 40 are already in the problem, so 50 is the answer.

Answer:the circunfrance of a circle is 22 inches

Step-by-step explanation: Radius+radius

Answer:

32 1/3

Step-by-step explanation:

Answer:

The answer is \(31\frac{9}{10}\).

Step-by-step explanation:

Make sure to follow this formula

\(2(lw)+(lh)+(wh)\)

\(2(1.3x1.5)+(1.3x5)+(1.5x5) \\= 2(1.95+6.5+7.5)\\=31.9=31\frac{9}{10}\)

Answer:

30 + 25 + (4x + 25) = 180

55 + (4x + 25) = 180

-55                    -55

4x + 25 = 125

-25 -25

4x = 100

Divide by 4 on both sides

X = 25

Now we just replace the x with 25

4 x 25 = 100, 100 + 25 = 125 degrees is the missing angle of y

Answer:

132 m²

Step-by-step explanation:

Split the figure into 2 parts :

Area (Triangle)

Area (Rectangle)

Area (Figure)

The increase in your savings, and the annual interest rate mean that the savings in a year would be $121.20.

To find the total savings in a year, you first need to find the increased savings amount. The original savings were $100, so the increased savings would be:

= 100 x (1 + 20%)

= 100 x 1.20

= $120

Your total savings at an annual rate of 1% would therefore be:
= Increased savings x ( 1 + rate)

= 120 x ( 1 + 1%)

= 120 x 1.01

= $121.20

In conclusion, in a year, you would have a total savings amount of $121.20.

Rest of the question is:

You have savings of $100 which you deposited into a savings account.

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Answer:

D. none of the above

Step-by-step explanation:

If g(x)=8 is the only equation, then none of the answers are correct. The correct answer would have been 8 because 8=8.

Answer:

Step-by-step explanation:

\(\dfrac{x}{2}=\dfrac{y}{3}\\\\\)

Cross multiply,

3x = 2y    ------------(I)

\(\dfrac{y}{4}=\dfrac{z}{4}\\\\4*\dfrac{y}{4}=\dfrac{z}{4}*4\\\\y=z\)

y = z --------------(II)

Plugin y =z in (I)

3x = 2z

3x/2 = z  ----------------(III)

x + 2y - z = 10

From (I) and (III)

\(x + 3x - \dfrac{3x}{2}=10\\\\4x - \dfrac{3x}{2}=10\\\\Multiply \ the \ entire \ equation \ by \ 2\\\\2*4x - 2*\dfrac{3x}{2}=10*2\\\\8x - 3x = 20\\\\5x = 20\)

Divide both sides by 5

x = 20/5

x = 4

Plugin x = 4 in (I)

3*4=2y

12 = 2y

2y = 12

y = 12/2

y  = 6

z = y

z = 6

Seven faces, fifteen edges and ten vertices.

Answer:

7 faces

15 edges

10 vertices

Answer:

Step-by-step explanation:

Area of the regular polygon:

a. Side length is:

Perimeter is:

b. Area is:

Answer:  960 unit²

The area of a regular polygon is

 A=Pa, where P- perimeter, a- apothem.

I hope this helped you at least a little bit.

Answer:

MY=80

Step-by-step explanation:

MX=MY ( since M is the midpoint)

2x+10=3x-5

10+5=3x-2x

15=x

MX+MY=MX

2x+10+3x-5=MY

2(15)+10+3(15)-5=MY

MY=80

Answer:

They are similar triangles.

Step-by-step explanation:

The statements that are true are A, B, C, and D.

When a variable varies directly with the other variable, i.e. on increasing one variable the other variable also increases, this relation is called Direct Variation.

Let x represent the number of tickets sold

Let y represent the amount of money earned from ticket sales.

y ∝ x

y = kx

k is the proportionality constant.

The given equation is y = 2/3 x

This is similar to the equation of straight line y = mx +c.

m is the slope.

m = 2/3

The y is in a proportional relationship, with a proportionality constant = 2/3.

If x is changed by 3 units, the y will change by,

Δy = ( 2/3) * 3

Δy = 2

y / x = 2/3

So, the unit rate of change of y with respect to x is 2/3.

The graph is attached with the answer,

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The solution is of the form y = tr where r = 5/14 for the given differential equation.

Given differential equation:

t²y''- 10ty' + 28y = 0

Let's assume the solution is of the form y = tr. We need to find the values of r for which this form of the solution holds.Let's differentiate the solution y = tr with respect to t in order to solve for the first and second derivatives of y as follows:

y = tr.....(1)

First derivative of y w.r.t t is given by:

y' = r.....(2)

Second derivative of y w.r.t t is given by:

y'' = 0.....(3)

Substituting equations (1), (2), and (3) in the given differential equation, we get:

(t² * 0) - 10t * r + 28(tr) = 0

Simplifying, we get:

(28r - 10) * t = 0

Since t > 0, then the coefficient of t must be zero. Thus,

28r - 10 = 0

=> 28r = 10

=> r = 10/28 (reduced)

=> r = 5/14

So, the value of r is 5/14 when the given differential equation has solutions of the form y = tr for t > 0.

In summary, the solution is of the form y = tr where r = 5/14 for the given differential equation.

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Answer:

You have completed 80%.

24/80=.8, .8=80%

^^(proportion)

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

You have completed 80% of your homework questoins before you ate dinner.

To determine if the newly discovered plant belongs to the same genus as the horsetail, scientists would look for characteristic(s) that provide the best evidence to support this hypothesis. Here are some key characteristics that could be examined:

1. Morphological similarities: Comparing the physical characteristics and overall morphology of the newly discovered plant with known horsetails would provide important evidence. Scientists would analyze features such as the arrangement and structure of leaves, stems, roots, and reproductive structures (such as cones or spores). If the new plant shares significant similarities in morphology with horsetails, it suggests a closer relationship.

2. Genetic analysis: Conducting genetic studies, such as DNA sequencing or molecular markers, can provide strong evidence of evolutionary relationships. By comparing the genetic information of the new plant with that of horsetails, scientists can identify shared genetic traits that indicate a common ancestry. Similarities in DNA sequences or genetic markers would support the hypothesis of belonging to the same genus.

3. Evolutionary history: Investigating the evolutionary history and phylogenetic relationships of horsetails and the new plant can provide valuable insights. By examining the fossil record and constructing phylogenetic trees, scientists can determine the evolutionary relationships between different plant species. If the new plant shares a more recent common ancestor with horsetails compared to other plant groups, it supports the hypothesis of belonging to the same genus.

4. Reproductive compatibility: Assessing the reproductive compatibility between the new plant and horsetails can provide evidence of their relationship. If they can successfully hybridize or have compatible reproductive structures, it suggests a close evolutionary relationship and supports the hypothesis of belonging to the same genus.

5. Chemical composition: Analyzing the chemical composition of the new plant and comparing it with horsetails can provide additional evidence. Similarities in chemical compounds, such as secondary metabolites or bioactive compounds, can indicate a closer relationship and support the hypothesis.

It is important to consider multiple lines of evidence and conduct thorough investigations to support the hypothesis that the new plant belongs to the same genus as horsetails. A combination of morphological, genetic, evolutionary, reproductive, and chemical evidence would provide a more robust and conclusive assessment of their relationship.

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A scientist might set a lower significance level to reduce the likelihood of a Type I error (false positive) and increase the confidence in their results.

When conducting a hypothesis test, a scientist uses statistical methods to evaluate the evidence for or against a proposed hypothesis.

The significance level of a hypothesis test is the probability of rejecting the null hypothesis when it is true, which is also known as a Type I error. In other words, a significance level of 0.05 means that there is a 5% chance of rejecting a true null hypothesis, and accepting a false alternative hypothesis.

Setting a lower significance level, such as 0.01, means that the scientist is willing to accept a higher level of confidence in their results and reduce the likelihood of making a Type I error.

This means that the researcher is willing to accept that there is only a 1% chance of rejecting a true null hypothesis, which is a more conservative approach.

There are several reasons why a scientist might choose to set a lower significance level.

First, if the consequences of a false positive are severe or costly, such as in medical research or engineering, then a lower significance level can help to minimize the risk of making a wrong decision.

Second, if the sample size is small, a lower significance level can help to reduce the impact of random variation and increase the confidence in the results.

Finally, if the effect size of the study is small, a lower significance level can help to ensure that the observed difference is not due to chance and is truly meaningful.

In summary, setting a lower significance level can help a scientist to increase the confidence in their results, reduce the likelihood of making a Type I error, and ensure that the observed difference is not due to chance.

However, it is important to balance the need for a high level of confidence with the practical considerations of the study and the potential consequences of a false positive.

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A segment MN has endpoints M(-7.-6) and N(7,7). Find the coordinates of partition point P that divides the segment into a 5:2 ratio. ​

___________________________

Find the coordinates of partition point P that divides the segment into a 5:2 ratio. ​

5:2 means that it is divided into 7, and we do not move two positions from (7,7)

X axis

7- (-7) = 14

14/7 = 2

7-2*2 = 3

Y axis

7-(-6)= 13

13/7 =

7 - 2* (13/7) = 49/7 - 26/ 7 = 23/7 = 3 2/7

______________________________

Answer

(3, 3 2/7)

Answer:

l = 29.4 yards

w = 66.8 yards

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Define

P = 163 yards

w = 2l + 8

l = l

Step 2: Set up equation

P = 2w + 2l

163 = 2(2l + 8) + l

Step 3: Solve for l

Step 4: Find w