please help me with this sum​

Answer:

Step-by-step explanation: well, you will more than likely get it at least 60%-80% of the time! If this doesn't help i can try to explain in a lot more detail unless someone does for me!

The common ratio of the resulting sequence is 1.4.

Given that, the three terms are 60, 100 and 180.

A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant. This ratio is known as a common ratio of the geometric sequence.

Let the same constant is added to the given number is x.

60+x, 100+x and 180+x

Now, the common ratio is

(100+x)/(60+x) = (180+x)/(100+x)

⇒ (100+x)(100+x)=(180+x)(60+x)

⇒ (100+x)²=10800+180x+60x+x²

⇒ 10000+200x+x²=10800+180x+60x+x²

⇒ 10000+200x=10800+180x

⇒ 20x=800

⇒ x=40

The three number are 100, 140 and 220

The common ratio is 140/100 =1.4

Therefore, the common ratio of the resulting sequence is 1.4.

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Answer:

The correct answer is B: 3 cubic feet.

Step-by-step explanation:

If you want to find the volume of a rectangular prism, you need to know the length, width, and height. The first rectangular prism is a cube with a length of 3 feet, so the volume of the figure would be \(3^{3}=27 ft^{3}\). The second rectangular prism has a length of 3 feet, a width of 2 feet, and a height of 4 feet, so the volume of the prism would be 3 × 2 × 4 = \(24 ft^{3}\). Now that you know the 2 volumes, you need to subtract the volumes in order to find the difference, which is 27 - 24 = 3 \(ft^{3}\).

Answer: n = 2 ....... (2, -4)

Step-by-step explanation:

To find n, one must write the equation for the points given, which are (-2, 4) and (-4, 8). Remember, the standard linear equation is y = mx + b, where m is the slope of the line.

To find the slope, refer back to (y2-y1)/(x2-x1), or in this case, (8-4)/(-4+2), which gives us -2

With our slope of -2, we can write the equation as y = -2x+b. Now, we need to find b (the y-intercept) by plugging in a point as (x,y)

Let's use (-4,8) point and plug it into our linear equation: y = -2x+b

to get 8=(-2)(-4) +b

8=8+b

0=b (which means our y-intercept is 0)

Now, our official linear equation is y=-2x

The problem gives us (n, -4) where -4 y, so we plug in -4 as y in the equation to get:

-4=-2x

-4/-2=x

2 = x

And there we go :) I hope this helps!

Answer:

The value of n =  2.

Step-by-step explanation:

Given the following points passing through a line, (-2, 4), (-4, 8), and (n , -4) wherein we must find the value of n:

It helps to determine the equation of the line, using the slope-intercept form: y = mx + b, where:

In order to solve for the slope of the line, use the following slope formula:

\(\displaystyle\mathsf{m =\:\frac{y_2 - y_1}{x_2 - x_1}}\)

Let (x₁, y₁) = (-2, 4)

     (x₂, y₂) = (-4, 8)

Substitute these values into the slope formula.

\(\displaystyle\mathsf{m =\:\frac{y_2 - y_1}{x_2 - x_1}}\)

\(\displaystyle\mathsf{m =\:\frac{8 - 4}{-4 -(-2)}\:=\:\frac{4}{-4+2}\:=\Frac{4}{-2}\:=\:-2}\)

Hence, the slope of the line is: m = -2.

Next, we must solve for the y-intercept.  Since it is the point where the graph crosses the y-axis, set x = 0 and solve for the value of y.  

Use the slope, m = -2, and one of the given points, (-2, 4), and substitute these values into the slope-intercept form to solve for the value of the y-intercept, b:

y = mx + b

4 = -2(-2) + b

4 = 4 + b

Subtract 4 from both sides:

4 - 4 = 4 - 4 + b

0  = b

The y-intercept is: b = 0.

Therefore, the equation of the line in slope-intercept form is:

y = -2x + 0 or y = -2x.

In order to determine the value of n, substitute its corresponding y-coordinate, -4, and substitute into the equation in the previous step:

Set y = -4:

y = -2x

-4 = -2x

Divide both sides by -2 to solve for x:

\(\displaystyle\mathsf{\frac{-4}{-2}\:=\:\frac{-2x}{-2}}\)

x = 2

Therefore, the value of n = 2.

Answer:

x=15

Step-by-step explanation:

subtract 1 from both sides so you are left with 2x=5x-45

then subtract 5x from both sides and you have -3x=-45

then finally divide -3 from -45 to get x=15

Answer:

R=5/4

Or

R=1.25

Step-by-step explanation:

Answer:

w(25) = 96

There are 96 wolves in the year 2020

Step-by-step explanation:

Given:

\(w(x)=14\cdot 1.08^{x}\)

w(25) =

\(w(25)=14\cdot 1.08^{25}\\\\= 14 * (6.848)\\\\=95.872\\\\\approx 96\)

Number of years : 1995 + 25 = 2020

In 2020, there are 96 wolves

Answer:

Sample mean

Sample variance

Sample proportion

Step-by-step explanation:

The roots of the quadratic equation \(3x^2 - 14x - 5 = 0\), in exact square root form, are x = 5 and x = -1/3.

Using the quadratic formula to solve the quadratic equation \(3x^2 - 14x - 5 = 0\),we have

\(x = (-(-14) ± sqrt((-14)^2 - 4(3)(-5))) / (2(3))\\x = (14 ± sqrt(14^2 + 4(3)(5))) / (2(3))\\x = (14 ± sqrt(196 + 60)) / 6\\x = (14 ± sqrt(256)) / 6\\x = (14 ± 16) / 6\\\)

Therefore, the two roots of the quadratic equation in exact square root form are:

\(x = (14 + 16) / 6 = 5\\x = (14 - 16) / 6 = -1/3\\\)

Thus, the roots of the quadratic equation \(3x^2 - 14x - 5 = 0\), in exact square root form, are x = 5 and x = -1/3.

A quadratic equation is a second-degree polynomial equation in one variable of the form:

\(ax^2 + bx + c = 0\)

where x is the variable, and a, b, and c are constants. In this equation, the highest power of x is 2, and it is called the coefficient of x^2. The coefficient of x is b, and the constant term is c.

The quadratic equation is called "quadratic" because the highest power of x is a square (i.e., x^2), and the graph of the equation is a parabola.

The quadratic equation can have zero, one, or two real solutions, depending on the values of a, b, and c. The solutions can be found by using the quadratic formula:

\(x = (-b ± √(b^2 - 4ac)) / 2a\)

where the symbol ± means "plus or minus" and the square root is of the discriminant (b^2 - 4ac).

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The sample mean of 4.21 cm is significantly different from the specified target mean of 4.00 cm.

Step 1: State the hypotheses.

- Null Hypothesis (H₀): The mean length of the bolts is 4.00 cm (μ = 4.00).

- Alternative Hypothesis (H₁): The mean length of the bolts is not equal to 4.00 cm (μ ≠ 4.00).

Step 2: Compute the value of the test statistic.

To compute the test statistic, we will use the z-test since the population standard deviation (σ) is known, and the sample size (n) is large (n = 121).

The formula for the z-test statistic is:

z = (X- μ) / (σ / √n)

Where:

X is the sample mean (4.21 cm),

μ is the population mean (4.00 cm),

σ is the population standard deviation (0.83 cm), and

n is the sample size (121).

Plugging in the values, we get:

z = (4.21 - 4.00) / (0.83 / √121)

z = 0.21 / (0.83 / 11)

z = 0.21 / 0.0753

z ≈ 2.79 (rounded to two decimal places)

Step 3: Determine the critical value and make a decision.

With a level of significance of 0.02, we perform a two-tailed test. Since we want to determine if the mean length of the bolts is different from 4.00 cm, we will reject the null hypothesis if the test statistic falls in either tail beyond the critical values.

For a significance level of 0.02, the critical value is approximately ±2.58 (obtained from the z-table).

Since the calculated test statistic (2.79) is greater than the critical value (2.58), we reject the null hypothesis.

Conclusion:

Based on the computed test statistic, there is sufficient evidence to show that the manufacturer needs to recalibrate the machines. The sample mean of 4.21 cm is significantly different from the specified target mean of 4.00 cm, indicating that the machine's output is not meeting the desired length. The manufacturer should take action to recalibrate the machines to ensure the bolts meet the required length of 4.00 cm.

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On solving the provided question we can say that the value of equation here will be as duration is 0<t<5 seconds.

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions

Information given in the query:

Rooftop height is 70 feet.

Speed at start: 80 feet per second

s(t ) = - 16t² + 80t + 70

s(t) in feet here

now,

for the balls to touch the rooftop

\(s(t ) = - 16t^2+ 80t + 70 > 70\\ - 16t^2 + 80t + 70 > 70\\ - 16t^2 + 80t > 70 - 70\\ - 16t^2 + 80t > 0\\ 16t^2 - 80t < 0\\t( 16t - 80 ) < 0\\t < 0 and 16t - 80 < 0 or 16t < 80 or t < 5\\\)

Hence,

since time cannot be negative, the time period is 0 t 5 seconds.

0<t<5

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Answer:

0.915

Step-by-step explanation:

Answer:

A' = (-2, -3)

B' = (0, -3)

C' = (-1, 1)

I did this on edg

Step-by-step explanation:

Since it's a reflection over the x axis, the x coordinates will stay the same while the y coordinates will be opposite of what they are.

After reflected: A'(-2,-3), B'(0,-3), C'(-1,1)

Answer:

312.3

Step-by-step explanation:

Heteroscedastic residuals will have roughly the same variance for any value of X. Hence:

The correct option is C.

Hetero means that they are different/vary. Homoscedastic would mean that they do not change as the value of x changes.

When the variance of the residuals is uneven throughout a range of measured values, this is referred to as heteroskedasticity. The analysis results may be flawed if heteroskedasticity is present and the population employed in the regression has unequal variance.

One presumption regarding the residuals/errors in OLS regression is that they have the same, but unmeasured, variance. The term "constant variance" or "homoscedasticity" refers to this. Heteroscedasticity is the issue when this presumption is broken.

Hence we get the required answer.

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Step-by-step explanation:

5/8 x 3/11 = answer

Keep change flip

Answer:

5/24

Step-by-step explanation:

The data is given in the table with preferences male, female .

To determine the probability that a randomly selected person was male and prefers cats.

Use the given table with the preferences and male , female.

The probability that a randomly selected person was male and prefers cats is

Hence the probability that a randomly selected person was male and prefers cats is

Answer:

I'm confused. Is there more to the question?

Answer:

one over five (m-100)

Step-by-step explanation:

the answer to your question is the 2nd one

Answer:

1 / [ 5(m - 4) ] is equivalent to one over five m -20

Step-by-step explanation:

one over five(m − 4)

5(m − 4)

Factor the denominator:

1 / [ 5m - 20 ]  =  1 / [ 5(m - 4) ]

Answer:

Step-by-step explanation:

The correct definition of perpendicular lines is option 1: "Two lines that intersect in a way that forms right angles."

When two lines intersect to form four right angles (90-degree angles), they are said to be perpendicular to each other. The point at which the lines intersect is called the point of intersection.

Therefore, option 1 is the correct definitation of perpendicular lines.

Answer: 1. Two lines that intersect in a way that forms right angles.

Step-by-step explanation:

Hope this helped! :)

Answer:

9/11, 12/17, 1/8, 2/7 & 23/35

Step-by-step explanation:

Answer:

8:7

Step-by-step explanation:

The domain is:

D: {-4, 5, 6, 8}

The range is:

R: {-4, 3, 5}

And yes, the relation is a function.

For a relation that maps elements x into elements y (in the form (x, y)), we define the domain as the set of the inputs (values of x) and the range as the set of the outputs (values of y).

Here our relation is defined by: {(6,3), (8,5), (-4,-4), (5,5)}

The domain is the set of the first values of each pair, so we have:

D: {-4, 5, 6, 8}

The range is the set of the second values of each pair:

R: {-4, 3, 5}

Now, is this a function?

Yes, it is a function, because each input is mapped into only one output.

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Answer:

I think We should keep track of the weather because just in case we dont get sucked up in a tornado or tsunami or we get snowed in

Step-by-step explanation:

Step-by-step explanation:

•a reflection and a dilation

\(\\ \rm\longmapsto \dfrac{5b}{12}=5\)

\(\\ \rm\longmapsto 5b=12(5)\)

\(\\ \rm\longmapsto 5b=60\)

\(\\ \rm\longmapsto b=\dfrac{60}{5}\)

\(\\ \rm\longmapsto b=12\)

Step-by-step explanation:

\( \frac{5b}{12} = 5 \\ by \: cross \: multiplicatin \\ 5b = 5 \times 12 \\ 5b = 60 \\ b = \frac{6 0 }{5} \\ b = 12\)

The zeros of the function y = -16x² + 246x + 100 are x = -0.4 and x = 15.8

From the question, we have the following parameters that can be used in our computation:

y=-16x^2+246x+100

Express properly

So, we have

y = -16x² + 246x + 100

Divide through the equation by 2

So, we have

y = -8x² + 123x + 50

We set the value of y to 0, in order to solve the equation

So, we have

-8x² + 123x + 50 = 0

When solved graphically, we have

x = -0.396 and x = 15.771

Approximate

x = -0.4 and x = 15.8

Hence, the x values are x = -0.4 and x = 15.8

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