Help againnnn pleaseeee

Answer:

put your  best gees

Step-by-step explanation:

The number of different materials that Kat can choose from are 6.

Given that:-

Kat is ordering customized shoes online. She can choose from one material, one color and one sole.

Number of different colors available = 18

Number of different types of soles available = 12

Total number of options available to Kat for her shoes = 1296

We have to find the number of different materials that Kat can choose from.

Let the  number of different materials that Kat can choose from be x.

We know that,

Number of different materials that Kat can choose from = (Number of different colors available)*(Number of different types of soles available)*(number of different materials)

Hence, by simple multiplication, we can write,

1296 = 18*12*x

1296 = 216x

x = 1296/216

x = 6

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Soo :

1.73, 2.23, 3.46

The surface area of the part of the x2 + y2 + z2 = 8z that lies inside the paraboloid z = x2 + y2, using the cylindrical coordinates is given as below:

The integral to find the surface area in the cylindrical coordinates, we can write as,

∫∫ dS = ∫∫ r dθ dr The given surface is x2 + y2 + z2 = 8z and the paraboloid is z = x2 + y2

By substituting the value of z from the paraboloid to the first equation,

we get,x2 + y2 + (x2 + y2)2 = 8(x2 + y2) Simplify it by expanding the square term as,

x2 + y2 + x4 + 2x2y2 + y4 = 8x2 + 8y2Now,

re-write the equation as,

x2 + y2 - 8x2 - 8y2 + x4 + 2x2y2 + y4 = 0On

solving this equation, we get

x2 + y2 - 8x2 - 8y2 + x4 + 2x2y2 + y4 = (x2 - 4x + y2 - 4y + 8)(x2 + 4x + y2 + 4y - 8) = 0

The equation of the paraboloid is given as, z = x2 + y2Hence,

the integral to find the surface area of the given surface in cylindrical coordinates,

∫∫ dS = ∫∫ r dθ dr Bounds of the integral to find the surface area are 0 ≤ θ ≤ 2π and r1 ≤ r ≤ r2,

where r1 and r2 are the radii of the cylinder.

Solve this equation and get the values of r1 and r2,r2 = 2r1

On solving the quadratic equation of (x2 - 4x + y2 - 4y + 8)(x2 + 4x + y2 + 4y - 8) = 0,

we get,

x2 + y2 - 4x - 4y + 4 = 0

The equation of the circle is given as

,x2 + y2 = 4x + 4y - 4 Solve for x and y to get,

x = 2 + cos θ y = 2 + sin θ

The radius of the circle is given as,

√(42 + 42) = √32 Thus,

the limits of integration of r are r1 = 0 and r2 = √32.

Integrating over the limits,

∫0^2π ∫0^√32 r dr dθ= 1/2(32) (2π)= 16πTherefore,

the surface area of the given surface is 16π.

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The proof that shows that ΔPQR ~ ΔTSR  by the AA similarity theorem is shown below.

According to the AA similarity theorem, two triangles that have two pairs of corresponding congruent angles are said to be similar to each other.

Using this theorem, we can prove that triangles PQR and TSR are similar as shown in the proof below.

Statement                              Reason                                      

1. QR | PT                               1. Given

2. <QPR = <STR                    2. Given

3. <QRP and <SRT are right 3. Definition of perpendicular

angles

4. <QRP ≅ <SRT                     4. All right angles are ≅

5. ΔPQR ~ ΔTSR                     5. AA similarity theorem

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Answer:

-3x^4-3x+15x^2

Hope it helps

The 1st option

Answer:

- 3\(x^{4}\) + 15x² - 3x

Step-by-step explanation:

Given

(5\(x^{4}\) - 3x + 8x²) - (8\(x^{4}\) - 7x²)

Remove the parenthesis on first and distribute second by - 1

= 5\(x^{4}\) - 3x + 8x² - 8\(x^{4}\) + 7x² ← collect like terms

= - 3\(x^{4}\) + 15x² - 3x ← in standard form

Answer:

Ok what do you need help on

Step-by-step explanation:

Answer:

how do u need help? What one?

Step-by-step explanation:

In a chi-square test for independence, the null hypothesis is that the two variables are independent in the population.

The null hypothesis states that there is no association or relationship between the two variables being tested. This means that any observed relationship in the sample data is due to chance and not a true relationship in the population. the null hypothesis assumes that there is no difference in the distribution of the variables across the categories or levels being compared.

To test this hypothesis, we calculate the chi-square statistic, which measures the difference between the observed and expected frequencies. If the calculated chi-square value is large enough to reject the null hypothesis, we conclude that there is evidence of a relationship between the variables. In summary, the null hypothesis in a chi-square test for independence is that the two variables being tested are independent in the population. This implies that there is no relationship or association between them.

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Answer:

Distance from point AA to point BB = 189.3 feet

Step-by-step explanation:

Let the distance from point AA to the base of the lighthouse be represented by x, and the distance from point BB to the base of the lighthouse be represented by y. So that;

distance from point AA to point BB = x - y

To determine the value of x, applying the required trigonometric function;

Tan θ = \(\frac{opposite}{sdjacent}\)

Tan 13 = \(\frac{102}{x}\)

x = \(\frac{102}{Tan 13}\)

  = 441.81 feet

x = 441.8 feet

To determine the value of y;

Tan 22 = \(\frac{102}{y}\)

y = \(\frac{102}{Tan 22}\)

  = 252.46

y = 252.5 feet

Thus,

distance from point AA to point BB = 441.8 - 252.5

                                                           = 189.3 feet

Answer:

38

Step-by-step explanation:

2(\(a^{2}\)+ab) + 3 - ab

= \(2a^{2}\) + 2ab + 3 - ab

= \(2a^{2}\) + ab + 3

= 2x\(5^{2}\) + 5x(-3) + 3

= 50 - 15 + 3

= 38

If we reference the given temperature data, the village where the temperature fell in the morning and then rose over the afternoon is Village B.

Temperature is described as  a physical quantity that expresses quantitatively the perceptions of hotness and coldness. Temperature is measured with a thermometer.

In Village B, the daytime high is 15 degrees, followed by lows of 10 degrees at 10:00 and 5 degrees at 12:00 (morning).

Nevertheless, the temperature begins to rise from 12:00 and eventually rises to +5 degrees at 18:00 (afternoon), reaching 0 degrees at 14:00.

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Answer:

x = 3

Step-by-step explanation:

Multiply both sides by 100

2.5 · 100 + 1.5x · 100 = 3.25 · 100 + 1.25x · 100

Refine:

250 + 150x - 250 = 325 + 125x - 250

Simplify:

150x = 125x + 75

Subtract 125x from both sides:

150x - 125x = 125x + 75 - 125x

simplify:

25x = 75

Now all you have to do is Divide both sides by 25:

\(\frac{25x}{25}\) = \(\frac{75}{25}\)

Now Finally the last part Now just Simplify so therefore the answer is

x = 3

Answer:

72°

Step-by-step explanation:

From the question,

Area of the circle = πr²

A = πr²................. Equation 1

Where r = radius of the circle.

⇒ r = √(A/π)............. Equation 2

Given: A = 346.5 cm², π = 3.14

r = √(346.5/3.14)

r = √(110.35)

r = 10.5 cm.

Therefore,

circumference of the circle = 2πr = 2×3.14×10.5

circumference = 65.94 m

If the length of the arc(s) is 1/5 of its circumference.

Therefore, length of arc (s) = 13.188

⇒ length of arc/circumference = 13.188/65.94 =  1/5

s/2πr = θ/360

Where θ = angle substends at the center of the circle

1/5 = θ/360

θ = 360/5

θ = 72°

We need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit which is compounded semi-annually.

To solve this problem, we can use the formula for the future value of an annuity:

\(FV = P * ((1 + r)^n - 1) / r\)

Where:

FV is the future value of the annuity

P is the periodic payment or deposit amount

r is the interest rate per period

n is the number of periods

In this case, the deposit amount is $726.56, the interest rate is 6.45% compounded semi-annually, and the future value is $31,300. We need to find the number of deposits (n).

We can rearrange the formula and solve for n:

n = log((FV * r) / (P * r + FV)) / log(1 + r)

Substituting the given values:

n = log((31,300 * 0.03225) / (726.56 * 0.03225 + 31,300)) / log(1 + 0.03225)

Using a calculator or software, we find that n ≈ 9.989.

Therefore, we need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit.

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Answer:

x=70

Step-by-step explanation:

38+x+x+2=180

40+2x=180

2x=140

x=70

Answer:

70

Step-by-step explanation:

x +x +2 + 38 = 180  {Angle sum property of triangle}

   2x + 40 = 180

          2x = 180 - 40

          2x = 140

            x = 140/2

x = 70

The graph of f(x) = -2⁻ˣ is given as attached.

To graph the function f(x) = -2⁻ˣ, we can follow these steps:

1. Choose a set of x-values to plot on the x-axis. Since the function has an exponent that involves negative powers of 2, we should choose values that are evenly spaced on the x-axis, such as -3, -2, -1, 0, 1, 2, and 3.

2. Substitute each x-value into the function to find the corresponding y-value. For example, when x = -3, we have f(-3) = -2⁻³ = -1/8. Similarly, we can find the y-values for the other x-values we chose.

3. Plot the points (x, y) on the graph. Make sure to label the axes and use a ruler or graphing software to ensure accuracy.

4. Connect the points with a smooth curve to show the shape of the function between the plotted points. Since the function has a negative exponent, it approaches zero as x gets larger, so the curve should approach the x-axis as it moves to the right.

The resulting graph should show a decreasing curve that gets closer and closer to the x-axis, without ever touching it, as x gets larger.

Note that the values of y for each x are:

When x = -3, y = -1/8

When x = -2, y = -1/4

When x = -1, y = -1/2

When x = 0, y = -1

When x = 1, y = -2

When x = 2, y = -4

When x = 3, y = -8

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The mean service time from the ​customers are between 161.5 to 164.7 seconds.

The trade magazine QSR routinely checks the​ drive-through service times of​ fast-food restaurants.

A 90% confidence interval that results from examining 607 customers in Taco Bell's drive-through has a lower bound of 161.5 seconds and an upper bound of 164.7 seconds.

Let's denote the mean service time by μ. Then, note that, we are given that n=607. Also, we are said that a 90% CI for μ is given by

(161.5,164.7)

This implies that we are 90% confident that μ lies in the interval. Or to be precise, this interval is a realization of a random interval that has 90% probability of covering the true mean. Thus, we are 90% confident that the mean service times of the restaurants are between 161.5 to 164.7 seconds.

Hence the answer is The mean service time from the ​customers are between 161.5 to 164.7 seconds.

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The difference between the 2 in the tens place and 2 to its left column in the given number 2,222.222 is 180.

According to the number system, a number can be written in its expanded form according to their pace value in the chart.

2,222.222 can be written as 2×1000+2×100+2×10+2X1+2×1/10+2×1/100+2×1/1000

The place value of 2 in the tens place in given number 2,222.222 = 20

The place value of 2 in its left column in the given number 2,222.22  = 200

Difference between the place of 2 in tens place and 2 in its left column

= 200 - 20

= 180

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Using a t-distribution with 14 degrees of freedom (n-1) and a 98% confidence level (α = 0.02/2 = 0.01 for each tail), we have:

sample mean (x) = (2051+2061+2162+2167+2169+2171+2180+2183+2186+2195+2196+2198+2205+2210+2211)/15 = 2180.6

sample standard deviation (s) = 39

standard error of the mean (SEM) = s/√n = 39/√15 ≈ 10.077

t-score for a 98% confidence level and 14 degrees of freedom (from t-distribution table or calculator) = 2.977

Margin of error (ME) = t-score × SEM = 2.977 × 10.077 ≈ 30.05

Therefore, the 98% confidence interval for the mean hours worked per year in this state is:

(x- ME, x+ ME) = (2180.6 - 30.05, 2180.6 + 30.05) = (2150, 2211)

Rounding to the nearest integer and putting the limits in ascending order, we get:

(2150, 2211)

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The difference quotient of f(x) is \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\) .

According to the given question.

We have a function

f(x) = -1/(5x -12)

As we know that, the difference quotient is a measure of the average rate of change of the function over and interval.

The difference quotient formula of the function y = f(x) is

[f(x + h) - f(x)]/h

Where,

f(x + h) is obtained by replacing x by x + h in f(x)

f(x) is a actual function.

Therefore, the difference quotient formual for the given function f(x)

= [f(x + h) - f(x)]/h

= \(\frac{\frac{-1}{5(x+h)-12} -\frac{-1}{5x-12} }{h}\)

= \(\frac{\frac{-1}{5x + 5h -12}+\frac{1}{5x-12} }{h}\)

= \(\frac{\frac{-1+5h}{5x + 5h-12} }{h}\)

= \(\frac{-1+5h}{(5x +h-12)(h)}\)

= \(\frac{-1+5h}{5xh + h^{2} -12h}\)

= \(\frac{h(-\frac{1}{h}+5) }{h(5x+h-12)}\)

= \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\)

Hence, the difference quotient of f(x) is \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\) .

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Probability that, with random samples of seven measurements from each species, the sample mean for species A exceeds the sample mean for species B by at least 1 unit is 0.0019 .

Here,

Suppose that X and Y are two independent random samples. The variable X is normally distributed with mean µ1 and variance 0.4 and the variable Y is normally distributed with mean µ2 and variance 0.8 and each sample size is 10.

Now the X is also a random variable and it follows normal with mean µ1 and variance 0.4/10, i.e. 0.04

And Y is also random variable and it follows normal with mean µ2 and variance 0.8/10, i.e. 0.08

Now,

V[X - Y] = V[X] + V[Y] (Since the samples are independent.)

V[X - Y]  = 0.04 + 0.08

= 0.12

Now, we need to find the probability that, the sample mean for species A exceeds the sample mean for species B by at least 1 unit.

∴P(X - Y ≥ 1)

So,

P(X - Y ≥ 1) = P[Z ≥ 1-0/0.12]

P(X - Y ≥ 1) = P[Z ≥ 2.8858]

= 1 - P[Z < 2.8858]

Therefore, the required probability,

= 0.0019

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9.63 years are required for $390 to become $660. A charge for borrowing money or other assets is called an interest.

Compound interest simply indicates that the interest paid on a savings account, loan, or investment grows exponentially over time rather than linearly.

\(A = P(1 + \frac{r}{n} )^{nt}\)

Here, A = Amount,

P = Principal Amount

r = Rate of interest

n = Number of times interest is charged in a year

t = number of years

Given ,Here Principal Amount is $390, the rate of interest is 5.5%(0.055),

the number of times the interest is charged in a year (n=4),

and the final amount is $660,

therefore, number of years will be equal to,

\(660 = 390(1 + \frac{0.055}{4} )^{4*t}\)

\(\frac{660}{390} = (1.01375)^{4*t}\)

\(1.6923 = (1.01375)^{4*t}\)

\(log_{1.01375}1.6923 = 4t\)

\(4t = 38.5234\)

\(t = 9.63\)

Hence, number of years it will take for $390 to become $660 is 9.63 years.

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We require a degree of freedom of 14 to create a 95% confidence interval for the population mean from a sample size of 15.

Given that,

Assume that a sample size of 15 will be used to calculate a 95% confidence interval for the population mean.

We have to find how many degrees of freedom should we utilize.

We know that,

The answer to the problem is

A 95% confidence interval is being created.

The sample size is 15 (<30). Therefore, in order to account for the decreased sample size and use the sample SD, we must adapt and use a t-value rather than a Z score.

As a reflection of sample size, it should be noted that the t-value is dependent on the degrees of freedom (df). df = n-1 is the formula used to calculate a confidence interval using the t-distribution.

Therefore, we require a degree of freedom of 14 to create a 95% confidence interval for the population mean from a sample size of 15.

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The sum of the square of the constants is 3/4

Given the equation \(\frac{1}{a+1} +\frac{1}{b+1} +\frac{1}{c+1} =2\)

The partial form of the equation is given as:

Solve for the constant "a"

\(\frac{1}{a +1} = 2\\a+1 = \frac{1}{2} \\a = \frac{1}{2} - 1\\a =-\frac{1}{2}\)

Hence \(a=b=c=-\frac{1}{2} \\\)

Taking the square of the constant, we will have:

\(a^2 + b^2 + c^2 =(-1/2)^2 +(-1/2)^2+(-1/2)^2\\a^2 + b^2 + c^2 =1/4 + 1/4 + 1/4\\a^2 + b^2 + c^2 =3/4\)

Hence the sum of the square of the constants is 3/4

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Answer -the sum of the square of the consonants is 3/4

Answer:

B.9

Step-by-step explanation:

What I did is I used ratio.

20:12

15:X

Cross multiply:15x12

Answer:180

The answer you get divided by 20.

180/20=9.

Answer:

B

Step-by-step explanation:

Given y varies directly as x, then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition when x = 20, y = 12, then

12 = 20k ( divide both sides by 20 )

k = \(\frac{12}{20}\) = \(\frac{3}{5}\)

y = \(\frac{3}{5}\) x ← equation of variation

When x = 15, then

y = \(\frac{3}{5}\) × 15 = 9

Answer:

Multiplication Symbols:

1. Times ×

2. Dot  ⋅

3. Parentheses ()

4. Variables next to each other ab

Step-by-step explanation:

The symbols can be used like this...

Times: a × b = c

Dot: a ⋅ b = c

Parentheses: (a)(b) = c

Variables next to each other: ab = c

Answer:

where is s. it's not in the equation you sent