I’m sorry for anyone’s that’s seeing this I’m just having a hard time and I really don’t like math

Answer:

[tex]a \geq \frac{1}{\sqrt{2} -1}[/tex]

Step-by-step explanation:

This equation is more intimidating than the problem you have to solve.

You know that the sine of everything is always between -1 and +1. So for the entire expression to be >= 0, the a*tan(pi/8) bit has to be 1 at least. Given this, we can forget about the sin(...) term of the equation for the remainder of solving it.

You already figured out that tan(pi/8) is sqrt(2)-1.

So what we're saying is a * (sqrt(2) - 1) has to be 1 at least.

If we solve a(sqrt(2)-1) >= 1 for a we get:

a = 1/(sqrt(2)-1)

[tex]c)\\\tan\left(\dfrac{\pi}{8}\right)=\tan\left(\pi-\dfrac{7\pi}{8}\right)=\tan\left(-\dfrac{7\pi}{8}\right)=-\tan\left(\dfrac{7\pi}{8}\right)\\\\=-(1-\sqrt2)=\sqrt2-1\\\\y=\sin(2x-1)+a\tan\dfrac{\pi}{8}\\\\\text{We know}\ -1\leq\sin(2x-1)\leq1.\\\\y\geq0\ \text{therefore}\ a\tan\dfrac{\pi}{8}\geq1\\\\\text{We have to move the graph at least one unit up}\\\\a(\sqrt2-1)\geq1\qquad\text{divide both sides by}\ (\sqrt2-1)>0\\\\a\geq\dfrac{1}{\sqrt2-1}\cdot\dfrac{\sqrt2+1}{\sqrt2+1}\\\\a\geq\dfrac{\sqrt2+1}{(\sqrt2)^2-1^2}[/tex]

[tex]a\geq\dfrac{\sqrt2+1}{2-1}\\\\a\geq\dfrac{\sqrt2+1}{1}\\\\a\geq\sqrt2+1\\\\Answer:\ \boxed{a=\sqrt2+1}[/tex]

Answer:

The answer is a. 3x - y = -11

Step-by-step explanation:

Firstly, you must find the gradient. This is found using the following formula:

[tex]\frac{y2 - y1}{x2 - x1}[/tex]

Make sure that the x2 and y2 values are in the same coordinate set:

Let's set (-3 , 2) as y1 and x1,

y1 = 2 and x1 = -3

That means that (-5 , 8) is y2 and x2,

y2 = 8 and x2 = -5

Plug the values in:

[tex]\frac{8 - 2}{-5 - - 3}[/tex]

Simplified:

[tex]\frac{6}{2}[/tex]

Or 3

So the gradient (or slope) is 3

Now, using the following equation of a line formula:

y - y1 = m(x - x1)

Where m is the gradient and y1 and x1 are two coordinates, we can plug these values in:

y1 = 2

x1 = -3

m = 3

y - 2 = 3(x - - 3)

The negative and the subtract makes it a positive:

y - 2 = 3(x + 3)

Now we can multiply the bracket out:

3 * x = 3x

3 * 3 = 9

So:

y - 2 = 3x + 9

The equation is usually in the form:

y = mx + c

So we need to move the -2 over to the other side making it a positive 2:

y = 3x + 9 + 2

y = 3x + 11

Which is the equation of the line.

The one option that this rearranges to is a) because if you move the y over to the 3x, and the + 11 over to the other side, making them both negatives, the result is:

3x - y = -11

So your answer is a.

Answer:

1/10

Step-by-step explanation:

Assuming there are 3 red marbles:

3/10 × 3/9 = 9/90 = 1/10

There are 3 red, that is where the first numerator comes from and there are 10 marbles so that is where the denominator comes from. There are 3 yellows, hence the second numerator but as we have taken a marble out there are now only 9 marbles in total.

Answer:

See image for answer

Step-by-step explanation:

I drew lines connecting the center of dilation and the points. Then, I divided the x-coordinate and the y-coordinate by 2 and I got the point. I did the same thing for the rest of the points and then connected them into a triangle.

Answer:

[tex]8.68,13.16[/tex]

Step-by-step explanation:

Hint- First we have to calculate the mean and standard deviation of the sample and then applying formula for confidence interval we can get the values.

Mean of the sample is,

[tex]\mu=\dfrac{\sum _{i=1}^{24}a_i}{24}=\dfrac{262}{24}=10.92[/tex]

Standard deviation of the sample is,

[tex]\sigma =\sqrt{\dfrac{\sum _{i=1}^{24}\left(x_i-10.92\right)^2}{24-1}}=5.6[/tex]

The confidence interval will be,

[tex]=\mu \pm Z\dfrac{\sigma}{\sqrt{n}}[/tex]

Here,

Z for 95% confidence interval is 1.96, and n is sample size which is 24.

Putting the values,

[tex]=10.92 \pm 1.96\cdot \dfrac{5.6}{\sqrt{24}}[/tex]

[tex]=10.92 \pm 2.24[/tex]

[tex]=8.68,13.16[/tex]

Confidence interval is used to express the degree of uncertainty associated with a sample.

95% confidence interval means that if we used the same sampling method to select different samples and calculate an interval, we would expect the true population parameter to fall within the interval for 95% of the time.

Final answer:

A 95 percent confidence interval is computed using the t-distribution and provides an estimated range where we can expect the population mean to lie. It reflects the level of certainty, but does not suggest that it contains 95 percent of the data.

Explanation:

To compute a 95 percent confidence interval for the number of hours students spent studying, we first need to calculate the mean and standard deviation of the given sample data. Then we can use the t-distribution because the sample size is small and we don't know the population standard deviation. The formula to calculate a confidence interval is: ± t× (s/√n), where t is the t-score associated with our confidence level and degrees of freedom (n-1), s is the sample standard deviation, and n is the sample size.

Confidence intervals provide a range of values that we are a certain percentage sure (95% in this case) contains the population mean. It is not correct to think that a 95% confidence interval contains 95% of the data. Instead, it means that if we were to take many samples and build a confidence interval from each of them, 95% of those intervals would contain the true population mean. Therefore, the confidence interval gives an interval estimate for where the population mean lies, not a precise value.

Answer:

(d)              

Step-by-step explanation:

Bond's par value = $500

market value of the bond = 88.754% * 500

                                           = 443.77

Commission rate charged by broker A = 3.1%

Commission of broker A = [tex]\frac{3.1}{100}[/tex]*443.77

                                        = $13.75687

Commission of broker B = $24

Difference between the commission of broker A and broker B = 24-13.756

                                                                                                      = $10.24

Hence, (d) Broker A's commission will be $10.24 less then Broker B's.

Answer:He should take the option one of sales commission of 3.1% on

each bond. If he takes the 2nd option, he is required to pay 24$ per

bond. But if he takes the ist option, he is required to pay 15.5$ per bond.

88.754 is the market rate. Total investment is of 500$. Multiply the commission

rate with the amount and you get 15.5 $. There is a difference of 8.5 dollars

between the two options.

The answer is D

Answer:

Triangles

Step-by-step explanation:

A polygon is a two dimensional plane figure having at least three straight sides and angles. It can have more than three sides but the simplest and basic polygon we can draw is a triangle.

Hence all polygons can be decomposed into the smaller basic polygons which are triangles.

Answer:

The correct answer is The graph of f(x) is horizontally stretched.

Step-by-step explanation:

We can tell it is horizontally stretched by the fact that there is a coefficient of less than 1 in the front.

We know that (-4, 6) isn't a vertex, because it is in vertex form. The vertex is the opposite of the number being added to x and the y value is the constant. Since the constant is -6, it is not a vertex.

The negative coefficient in the front makes it open down, so it doesn't open up.

The domain should be all real numbers as there is no number that cannot be put into the equation.

M' A'T" H' is (1,1) and (2.5) equals 3.6 to form a quadrilateral. A two-dimensional shape with four sides, four vertices, and four angles is referred to as a quadrilateral.

Let the scale factor of quadrilateral is center at 2.5 at (1, 1) then

(1,1) and (2.5) equals 3.6

(1,1) + (2.5) =  3.6

Therefore, the statement exists true about the dilation is

B. [tex]$\overline{A^{\prime} T^{\prime}}$[/tex] will overlap [tex]$\overline{A T}$[/tex]

C.[tex]$\overline{M^{\prime} A^{\prime}}$[/tex] will overlap [tex]$\overline{M A}$[/tex]

D. The slope of [tex]$\overline{H T}$[/tex] is equal to the slope of [tex]$\overline{\bar{H}^{\prime} T^{\prime}}$[/tex]

The complete question is :

Show the graph below

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Final Answer:

The dilated quadrilateral MATH with a scale factor of 2.5 centered at (1, 1) transforms into the quadrilateral M’A’T’H’.

Explanation:

Quadrilateral MATH is dilated by a scale factor of 2.5 centered at (1, 1). The dilation process involves multiplying the coordinates of each vertex (M, A, T, H) by the scale factor. Let's denote the original coordinates as (x, y), and the new coordinates as (x', y').

1. For point M (x_M, y_M):

- x'_M = 2.5 * (x_M - 1) + 1

- y'_M = 2.5 * (y_M - 1) + 1

2. Similarly, for points A, T, and H:

- x'_A = 2.5 * (x_A - 1) + 1

- y'_A = 2.5 * (y_A - 1) + 1

- x'_T = 2.5 * (x_T - 1) + 1

- y'_T = 2.5 * (y_T - 1) + 1

- x'_H = 2.5 * (x_H - 1) + 1

- y'_H = 2.5 * (y_H - 1) + 1

These formulas calculate the new coordinates for each point after the dilation. The resulting coordinates (x', y') form the vertices of the dilated quadrilateral M’A’T’H’. The center of dilation, (1, 1), is crucial in determining how each point is transformed. The scale factor of 2.5 indicates that the new coordinates are 2.5 times the distance from the center for each point. The final quadrilateral M’A’T’H’ is an enlarged version of the original MATH, maintaining the same shape but with all dimensions multiplied by the scale factor.

Answer:

(x - 12)(x^2 - 2) or (x - 12)(x + sqrt(2) ) (x - sqrt(2))

Step-by-step explanation:

Smallest to Largest-

120, 121, 132, 133, 150, 153, 163, 173, 217, 241, 261.

Hope this helps you!

Least                                                             Greatest

120, 121, 132, 133, 150, 163, 173, 217, 217, 241, 261

Hope helps!-Aparri

Answer:

To find the unit rate, you have reduce the fraction until you get 1 in the denominator.

Step-by-step explanation:

ex:  16/4 = 4/1 = 4 this is the unit rate.

unit means 1.

Answer:

The answer is c hope it helps.

Step-by-step explanation:

Hence, option (C) is correct.

What is the probability?

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are.

The analysis of events governed by probability is called statistics.

As per the given information it would be option (C) i.e., it is likely

Hence, option (C) is correct.

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Answer:

Step-by-step explanation:

you would use the distributive property, so the answer should be..... -377/1015, OR -13/35 BTW i'm not completely sure this is correct. Im not a calculator. But I think Im correct

Answer:

1) 16 adults

2) 2 adults at each table

3) 7

Step-by-step explanation:

Answer:

tax = $6.63

Step-by-step explanation:

We can find the tax by multiplying the original amount by the tax rate.

tax rate = 10 % = .1

tax = 66.30 * .10

     = 6.63

To solve this problem, we need to figure out how much tax Peter will be paying, given that the tax rate is 10% and his purchase costs $66.30.

To do this, we must first convert 10% into a decimal.  To do this, we must divide it by 100 (because it is a fraction out of a total of 100 percent), or simply move the decimal point two places to the left.  Therefore, 10% = 0.10.

To find the tax amount, we must multiply the sales tax rate (10% or 0.10) by the purchase cost ($66.30).  This gives us:

$66.30 * 0.10 = $6.63

Therefore, your answer is $6.63.

(A little tip: the method I used above can be used for any tax rates, but a trick for finding 10 percent of something is to move the decimal point of the cost one place to the left).

Hope this helps!

Step-by-step explanation:

2x^3 -9x^2 +11x-6 divided by x-3

We use long division

                        2x^2  - 3x  + 2

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

x - 3             2x^3 - 9x^2 + 11x - 6

                   2x^3 - 6x^2

                --------------------------------------(subtract)

                            -3x^2    + 11x

                            -3x^2    + 9 x

                ----------------------------------------(subtract)

                                          2x    - 6

                                          2x    - 6

                                 -----------------------------(subtract)

                                          0

Quotient : 2x^2 - 3x + 2

Answer: c[p(g)] = 0.896g

Step-by-step explanation:

From the plot, we see that [tex]z_1=-4-3i[/tex]. Its conjugate would be [tex]\bar{z_1}=-4+3i[/tex], so that the product of the two is

[tex]z_1\bar{z_1}=(-4-3i)(-4+3i)=16-9i^2=16+9=25[/tex]

More generally, note that if [tex]z=x+yi[/tex], then

[tex]z\bar z=(x+yi)(x-yi)=x^2+y^2=|z|^2[/tex]

Answer:

The product of z1 and its conjugate is 25.

Step-by-step explanation:

In the given graph x-axis represents the real axis and y-axis represents the imaginary axis.

The end point of z1 are (0,0) and (-4,-3). So, the complex number z1 is defined as

[tex]z_1=x+iy=-4-3i[/tex]

The conjugate of z1 is

[tex]\overline {z_1}=x-iy=-4+3i[/tex]

The product of z1 and its conjugate is

[tex]z_1\overline {z_1}=(-4-3i)(-4+3i)[/tex]

[tex]z_1\overline {z_1}=-4(-4+3i)-3i(-4+3i)[/tex]

[tex]z_1\overline {z_1}=16-12i+12i-(3i)^2[/tex]

[tex]z_1\overline {z_1}=16-9(i)^2[/tex]

[tex]z_1\overline {z_1}=16-9(-1)[/tex]           [tex][\because i^2=-1][/tex]

[tex]z_1\overline {z_1}=16+9=25[/tex]

Therefore the product of z1 and its conjugate is 25.

Answer:

1 : √3 : 2

Step-by-step explanation:

In the special right triangle, 30°-60°-90° triangle:-

Opposite side < Adjacent side < Hypotenuse.

1. The smallest side is opposite to angle 30°, also called opposite side.

2. Adjacent side is √3 times smallest side.

3. Hypotenuse is 2 times smallest side.

So the ratios of sides would be as follows:-

Opposite : Adjacent : Hypotenuse

1x : √3x : 2x

1 : √3 : 2

Answer:

She must sell $1,300 to make her goal.

Step-by-step explanation:

In order to find this you can create an equation in which x is the total number of sales she makes. Firstly, you know she gets 10% (or .1) of that number.

y = .1x

We also know that she works 10 hours at $7 per hour. That means we can add $70 to the end.

y = .1x + 70

Now we are looking to make $200, which means we can put 200 in for y and solve for the total amount of sales.

200 = .1x + 70

130 = .1x

1,300 = x

Final answer:

Michelle must generate at least $1300 in sales each week to achieve her weekly earnings goal of $200, given that she works 10 hours per week at an hourly wage of $7 and earns a 10% commission on sales.

Explanation:

To calculate the total sales Michelle must achieve to reach her goal of $200 per week when she earns $7 per hour and a 10% commission on the sale price of each item, we'll set up an inequality. Michelle wants to work only 10 hours each week.

Her earnings from the hourly wage are $7hour times 10 hours, which gives us $70. Now, let's say the total sales she needs to make are represented by x. Therefore, 10% of x represents her earnings from commission. Michelle's weekly earnings goal is $200, so we can write the inequality as:

Hourly earnings: $7*10 hours = $70

Commission earnings: 10% of x (0.10x)

Total earnings (hourly + commission): $70 + 0.10x [tex]\geq[/tex] $200

To find the total sales required, we solve the inequality for x:

$70 + 0.10x [tex]\geq[/tex]$200

0.10x [tex]\geq[/tex]$130

x  [tex]\geq[/tex] $1300

So Michelle must generate at least $1300 in sales to meet her weekly earnings goal of $200.

Hey there!

The word "of" means multiply in mathematical terms

"What is [tex]\frac{3}{4}[/tex] of [tex]\frac{4}{9}[/tex] kilogram? "

So, now that we know what of means we could now solve this equation '

Good luck on your assignment and enjoy your day!

~[tex]LoveYourselfFirst:)[/tex]

Answer:

[tex]F(x)=2\left(x+\dfrac{13}{4}\right)^2-\dfrac{9}{8}.[/tex]

Step-by-step explanation:

Consider the function [tex]F(x)=2x^2+13x+20.[/tex]

Rewrite it as follows:

[tex]F(x)=(2x^2+13x)+20=2\left(x^2+\dfrac{13}{2}x\right)+20=2\left(x^2+\dfrac{13}{2}x+\left(\dfrac{13}{4}\right)^2-\left(\dfrac{13}{4}\right)^2\right)+20=2\left(x^2+\dfrac{13}{2}x+\dfrac{169}{16}\right)-2\cdot \dfrac{169}{16}+20.[/tex]

Since

[tex]x^2+\dfrac{13}{2}x+\dfrac{169}{16}=\left(x+\dfrac{13}{4}\right)^2,[/tex]

you get

[tex]F(x)=2\left(x+\dfrac{13}{4}\right)^2+20-\dfrac{169}{8}=2\left(x+\dfrac{13}{4}\right)^2-\dfrac{9}{8}.[/tex]

Answer:

the correct answer is: f(x)=2(x+13/4)²+-9/8. i hope it help

Answer:

12

Step-by-step explanation:

A parallelogram has 4 sides. Opposite sides of a parallelogram are parallel and congruent.

Since one side has length p, its opposite side also has length p.

Since one side has length 17 ft, its opposite side also has length 17 ft.

The lengths of the 4 sides are p, p, 17 ft, and 17 ft.

The perimeter is the sum of the lengths of the sides, and it is 58 ft.

p + p + 17 + 17 = 58

2p + 34 = 58

2p = 24

p = 12

Answer:

105 parents said their kids were nice. 39 parents said their kids were naughty.  6 parents didn't answer.

Step-by-step explanation:

Answer:

The y coordinate is -3

Step-by-step explanation:

To find the midpoint, we use

midpoint = (x1+x2)/2, (y1+y2)/2

You only ask for the y coordinate.

y midpoint = (y1+y2)/2

y midpoint = (8+-14)/2

                 = -6/2

                   = -3

Answer:

-3

Step-by-step explanation:

usatestprep answer

Answer:

Number of cows is 23

Number of chickens is 46

Step-by-step explanation:

Let's assume

number of cows =x

we are given

Mr.Yan has almost as twice as many chickens and cows

so,

Number of chickens =2x

We know that

Number of legs in a cow =4

Number of legs in a chicken =2

now, we can set up equation

[tex]4\times x+2\times 2x=184[/tex]

[tex]4x+4x=184[/tex]

[tex]8x=184[/tex]

[tex]x=23[/tex]

So,

Number of cows =23

Number of chickens is

[tex]=2\times 23=46[/tex]

Answer:

answer is 525.

Hopefully I could Help :)

First, we solved the system of equations by substitution and found x = -3, y = -6. Then, by employing the elimination method, we determined the solution to the second system as x = 7, y = 6.

To solve the system of equations by substitution and elimination, let's start with the substitution method.

Solve the system by substitution:

Given equations: 6 = −4x + y and −5x − y = 21.

Step 1: From the first equation, isolate y: y = 4x + 6.

Step 2: Substitute y in the second equation: -5x - (4x + 6) = 21.

Step 3: Solve for x: -9x = 27, so x = -3.

Step 4: Substitute x back into the equation for y: y = 4(-3) + 6 = -6.

Solution: x = -3, y = -6.

Solve the system by the elimination method:

Given equations: 2x + y = 20 and 6x − 5y = 12.

Step 1: Multiply the first equation by 5, and the second by 1, to align coefficients of y.

Step 2: Add the modified equations to eliminate y: 10x + 5y + 6x - 5y = 100 + 12.

Step 3: Combine like terms and solve for x: 16x = 112, so x = 7.

Step 4: Substitute x back into one of the original equations to solve for y: 2(7) + y = 20, so y = 6.

Solution: x = 7, y = 6.

g(2) This means that x is 2, so you can plug in 2 for "x" in the equation

g(x) = 5x + 1

g(2) = 5(2) + 1

g(2) = 10 + 1

g(2) = 11

To find the value of the function 'g(x) = 5x + 1' at x = 2, we substitute x with 2. Multiply 5 by 2 to get 10, then add 1 to get 11, so g(2) = 11.

In the given function g(x) = 5x + 1, we are asked to find the value of g(2).

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