Solve x-2/y = z for y.

Answer:

Step-by-step explanation:

Don't know. Maybe you add up the two numbers then divide the answer.

Answer:

He is wrong in his approach, because the triangle is a 3,4,5, triangle and he should have put √5^2-4^2

Step-by-step explanation:

Answer:

tringlae mixed witha football goal take the fool goal out and go from there

Step-by-step explanation:

The equation of a linear function is given by the following general form:

y = mx + b

Where m is the slope of the line and is given by the following formula:

Where (x1, y1) and (x2, y2) are two points of the function. In this case, we can take points (3, 0) and (4, 6) from the table, then we get:

With m = 6 we can rewrite the equation like this:

y = 6x + b

By replacing another point, like (5, 12), we get:

12 = 6(5) + b

12 = 30 + b

12 - 30 = 30 - 30 + b

-18 = b

b = -18

Then, the equation of the linear function can be written like this:

h(x) = 6x - 18

\({ \red{ \bold{9d}}} \: + \: { \red{ \bold{3}}} \)

Step-by-step explanation:

\({ \blue{ \tt{(6d + 5)}}} - { \blue{ \tt{(2 - 3d)}}}\)

\({ \blue{ \tt{6d + 5 - 2 + 3d}}}\)

\( = { \blue{ \tt{9d + 3}}}\)

Answer:

1). \(x = \frac{8}{7} \)

2). \(x = - \frac{45}{2} \)

Step-by-step explanation:

1) \(10 - \frac{1}{2} x = 6 + 3x\)

\(20 - x = 12 + 6x\)

\(20 - x - 6x = 12 + 6x - 6x\)

\(20 - x - 6x = 12\)

\( - x - 6x = 12 - 20\)

\( - 7x = 12 - 20\)

\( - 7x = - 8\)

\(x = \frac{8}{7} \)

•■•■•■•■•■•■•■•■•

2) \(x = - \frac{45}{2} \)

\( \frac{1}{2} x - \frac{1}{4} = \frac{3}{5} x + 2\)

\(20( \frac{1}{2} x - \frac{1}{4} ) = 20( \frac{3}{5} x + 2)\)

\(20 \times \frac{1}{2} x - 20 \times \frac{1}{4} = 20( \frac{3}{5} x + 2)\)

\(10x - 20 \times \frac{1}{4} = 20 \times \frac{3}{5} x + 20 \times 2\)

\(10x - 5 = 20 \times \frac{3}{5} x + 20 \times 2\)

\(10x - 5 = 4 \times 3x + 20 \times 2\)

\(10x - 5 = 4 \times 3x + 40\)

\(10x - 5 - 12x = 40\)

\(10x - 12x = 40 + 5\)

\( - 2x = 40 - 5\)

\( - 2x = 45\)

\(x = - \frac{45}{2} \)

Answer:

x= 0.7227 in radians

x= 41.4096 in degrees

Step-by-step explanation:

cos(x) = 6/8

The 98% confidence interval for the mean account valuation of the population of customers is between approximately $29,086 and $36,314.

To calculate the confidence interval, we can use the t-distribution since the population standard deviation is unknown and the sample size is relatively small (26 customers). With a 98% confidence level, we need to find the critical value from the t-distribution table. For a two-tailed test, the degrees of freedom would be n - 1, which is 26 - 1 = 25.

Using the t-distribution table or statistical software, we find that the critical value for a 98% confidence level with 25 degrees of freedom is approximately 2.787.

Next, we can calculate the margin of error, which is obtained by multiplying the critical value by the standard error of the mean. The standard error of the mean (SE) is given by the sample standard deviation divided by the square root of the sample size. In this case, SE = 9000 / √26 ≈ 1766.088.

The margin of error is then 2.787 * 1766.088 ≈ 4917.936.

Finally, we can construct the confidence interval by subtracting and adding the margin of error to the sample mean. The lower bound of the confidence interval is the sample mean minus the margin of error: 32700 - 4917.936 ≈ 29,086. The upper bound is the sample mean plus the margin of error: 32700 + 4917.936 ≈ 36,314.

Therefore, the 98% confidence interval for the mean account valuation of the population of customers is approximately $29,086 to $36,314.

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If a tree casts a shadow 21 feet long and a yardstick (which is 3 feet tall) casts a shadow 2 feet long, then the tree is 31.5 feet tall.

Let h be the height of the tree. Then we have the proportion:

\(h/21=3/2\)

Simplifying this proportion, we have:

\(h=21*3/2 = 31.5\)

Therefore, the height of the tree is 31.5 feet.

To see why this proportion works, imagine that the tree and the yardstick are placed next to each other in the sun, with the yardstick closer to the observer. At the same time, the shadows of the tree and the yardstick are projected onto the ground. We know the length of the yardstick's shadow is 2 feet, and we can measure the height of the yardstick as 3 feet. We also know the length of the tree's shadow is 21 feet. By setting up the proportion as above, we are essentially saying that the ratios of the heights of the tree and yardstick to their respective shadow lengths must be equal. Solving for the height of the tree gives us the answer above.

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Answer:

690

Step-by-step explanation:

The multiples of 3 between 5 and 64 are 6+9+12+15+18+21+24+27+30+33+36+39+42+45+48+51+54+57+60+63 which gives you 690.

Hope this helps, have a good day! :D

Answer: ∑=690

Step-by-step explanation:

Let's use the formulas for an arithmetic progression:

\(a_1=6 \ \ \ \ \ a_n=63\ \ \ \ d=3\\a_n=a_1+(n-1)d\\63=6+(n-1)3\\63=6+3n-3\\63=3+3n\\63-3=3+3n-3\\60=3n\\\)

Divide both parts of the equation by 3:

\(20=n\)

Thus,

\(\displaystyle\\\sum=\frac{a_1+a_n}{2} n\\\\\sum=\frac{6+63}{2}20 \\\\\sum=\frac{69*20}{2} \\\\\sum=69*10\\\\\sum=690\)

To find the length of the third side of the triangular birthday card, Sarah can use the Triangle Inequality Theorem, which states that the sum of any two sides of a triangle must be greater than the third side.

In other words, 4 + 9 > x, so 4 + 9 > x is the inequality that is true.

The Triangle Inequality Theorem states that the sum of any two sides of a triangle must be greater than the third side. This means that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side. This theorem is useful for determining the possible lengths of the sides of a triangle, as well as for proving that a set of three lengths cannot form a triangle.

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Complete Question

Denise has 4 hours to paint crafts. She would like to spend no more than 1/4 of each hour on each craft. How many crafts can she paint during that time?

Answer:

16 crafts

Step-by-step explanation:

From the above question, we know that:

1/4 hour = 1 craft

4 hours = x crafts

Cross Multiply

1/4hour × x crafts = 4 hours × 1 craft

x crafts = 4 hours ÷ 1/4 hour

x crafts = 4 × 4

x = 16 crafts

She can paint 16 crafts during that time.

The correct option is B) 5 minutes.

The width of each class /(class width) is 5 minutes.

The term "class interval" refers to the numerical width of a class in such a frequency distribution.

Some key features regarding the class width/class interval are-

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The complete question is -

The following are the duration in minutes of a sample of long-distance phone calls made within the continental United States reported by one long-distance carrier.

RelativeTime (in Minutes)/

Frequency

0 but less than 5/0.37

5 but less than 10/0.22

10 but less than 15/0.15

15 but less than 20/0.10

20 but less than 25/0.07

25 but less than 30/0.07

30 or more/0.02

What is the width of each class?

A) 1 minute

B) 5 minutes

c) 2%

d) 100%

Answer:

3/12

Step-by-step explanation:

The interpolating polynomial for the given data is \(-0.8414x^3 + 11.2892x^2 - 34.2031x + 27.7336.\)

To determine an interpolating polynomial for the given data, we can use Lagrange's interpolation formula.

The formula is :

L(x) = Σ yi li(x)

where L(x) is the interpolating polynomial, yi is the i-th y-value of the data point, and li(x) is the i-th Lagrange basis function.

The Lagrange basis function li(x) is :

li(x) = Π (x - xj) / (xi - xj), where i ≠ j

Using the given data points

\(L_1(x) = (x - 3.1)(x - 3.5)(x - 7.0) / [(2.0 - 3.1)(2.0 - 3.5)(2.0 - 7.0)]\\ = -0.2042x^3 + 2.4325x^2 - 6.7908x + 5.616\)

\(L_2(x) = (x - 2.0)(x - 3.5)(x - 7.0) / [(3.1 - 2.0)(3.1 - 3.5)(3.1 - 7.0)] \\= 0.4973x^3 - 7.6238x^2 + 36.9048x - 46.8343\\L_3(x) = (x - 2.0)(x - 3.1)(x - 7.0) / [(3.5 - 2.0)(3.5 - 3.1)(3.5 - 7.0)] \\= -0.1549x^3 + 3.1167x^2 - 15.6143x + 25.2246\\\\L_4(x) = (x - 2.0)(x - 3.1)(x - 3.5) / [(7.0 - 2.0)(7.0 - 3.1)(7.0 - 3.5)]\\ = 0.0204x^3 - 0.6375x^2 + 6.0962x - 12.2737\)

Therefore, the interpolating polynomial for the given data is:

L(x) = Σ yi li(x)

\(\\\\= -0.2042x^3 + 2.4325x^2 - 6.7908x + 5.616 + 0.4973x^3 - 7.6238x^2 + 36.9048x - 46.8343 + (-0.1549x^3 + 3.1167x^2 - 15.6143x + 25.2246) + (0.0204x^3 - 0.6375x^2 + 6.0962x - 12.2737)\)

Simplifying,

\(L(x) = -0.8414x^3 + 11.2892x^2 - 34.2031x + 27.7336\)

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Answer:

2856

Step-by-step explanation:

This question is a little unclear. 6 times 17 times 28 is equal to 2856 if that is what you are trying to ask.

Answer:

12111 is the answer

Step-by-step explanation:

11000+1100+11=12111

plz like and follow me and Mark as brainlist plz

The equation of the line in slope-intercept form is: y = 6.

Given that the points, (-4,6) and (4,6) lie on a line, the steps below shows how to write the equation of the line in slope-intercept form.

Step 1: Find the slope of the line:

Slope (m) = change in y / change in x = (6 - 6)/(-4 - 4)

Slope (m) = 0/-8

Slope (m) = 0

Step 2: Substitute m = 0 and (x, y) = (4, 6) into y = mx + b to find the value of b

6 = 0(4) + b

6 = 0 + b

6 = b

b = 6

Step 3: Substitute m = 0 and b = 6 into y = mx + b

y = 0(x) + 6

y = 0 + 6

y = 6

In conclusion, the equation of the line in slope-intercept form is: y = 6.

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Answer: She is using the counting-on technique.

Step-by-step explanation:

Answer:

0.75pounds

Step-by-step explanation:

if                4 cakes = 3 pounds

what about 1 cake = ?

cross multiply : 1 × 3 ÷ 4

you will remain with the fraction 3/4

change it to decimal to get 0.75.

you can confirm the answer by multiplying it by four to make sure you get 3.

HOPE THIS HELPS!

Step-by-step explanation:

A parenthesis is used when the number next to it is NOT part of the solution set

   like :   all numbers up to but not including 3 .    

  Parens are always next to  infinity  when it is part of the solution set .

  A bracket is used when the number next to it is included in the solution set.

Answer:

a couple different obes

Step-by-step explanation:

there are five

Answer:

119 is the value of x when y = 7

Step-by-step explanation:

Since y varies inversely with x, we can use the following equation to model this:

y = k/x, where

Step 1:  Find k by plugging in values:

Before we can find the value of x when y = k, we'll first need to find k, the constant of proportionality.  We can find k by plugging in 49 for y and 17 for x:

Plugging in the values in the inverse variation equation gives us:

49 = k/17

Solve for k by multiplying both sides by 17:

(49 = k / 17) * 17

833 = k

Thus, the constant of proportionality (k) is 833.

Step 2:  Find x when y = k by plugging in 7 for y and 833 for k in the inverse variation equation:

Plugging in the values in the inverse variation gives us:

7 = 833/x

Multiplying both sides by x gives us:

(7 = 833/x) * x

7x = 833

Dividing both sides by 7 gives us:

(7x = 833) / 7

x = 119

Thus, 119 is the value of x when y = 7.

The probability that an individual owns a tablet computer given that they own a smartphone is 0.69, as determined by Bayes' theorem.

To calculate the probability that an individual owns a tablet computer given that they own a smartphone, we can use Bayes' theorem. Bayes' theorem is a mathematical formula that allows us to update our prior beliefs or probabilities based on new information. In this case, we have the probability of owning a tablet computer (0.4), the probability of owning a smartphone given owning a tablet computer (0.9), and the probability of owning a smartphone given not owning a tablet computer (0.6).

By applying Bayes' theorem, we can determine the probability that an individual owns a tablet computer given that they own a smartphone. The numerator of the formula is the product of the probability of owning a smartphone given a tablet computer and the probability of owning a tablet computer (0.9 * 0.4 = 0.36). The denominator is the sum of the numerator and the product of the probability of owning a smartphone given not owning a tablet computer and the probability of not owning a tablet computer (0.6 * 0.6 = 0.36). Therefore, the denominator is 0.36 + 0.36 = 0.72. Dividing the numerator by the denominator, we find that the probability that an individual owns a tablet computer given that they own a smartphone is 0.36 / 0.72 = 0.5, or 0.69 when rounded to two decimal places.

In conclusion, the probability that an individual owns a tablet computer given that they own a smartphone is 0.69. This calculation demonstrates the application of Bayes' theorem in updating probabilities based on conditional information, providing insights into the relationship between tablet ownership and smartphone ownership.

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Answer:

Step-by-step explanation:

Favorable outcome. To possible outcome

Answer:

four arithmetic means between 17 and 37 is:

21,25,29,33

Step-by-step explanation:

Symbolab is an online math tool that offers a wide range of math-related services, including a derivative calculator. The derivative calculator provided by Symbolab is a free tool that allows users to calculate the derivative of a given function with respect to a variable.

To use the Symbolab derivative calculator, you simply need to enter the function you want to differentiate and choose the variable with respect to which you want to differentiate the function. The calculator will then provide you with the derivative of the function in a step-by-step format, including the derivative rules used at each step.

The Symbolab derivative calculator supports a wide range of functions, including trigonometric functions, exponential functions, logarithmic functions, and more. It also supports partial derivatives and implicit differentiation.

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Answer:

B and D    

Step-by-step explanation:

in D 15x+9=15x+9

in B x=0

The smallest positive integer k  is big-O of nk is k = 3

To find the smallest positive integer k such that the expression 12 + 22 + 32 + ... + n2 is big-O of nk .

we need to determine the growth rate of the given expression and compare it with the growth rate of nk.

The expression 12 + 22 + 32 + ... + n2 represents the sum of squares of integers from 1 to n. We can express this sum using the formula for the sum of squares:

1\(^2 + 2^2 + 3^2 + ... + n^2\) = n(n + 1)(2n + 1)/6

Now, we can compare the given expression with nk:

n(n + 1)(2n + 1)/6 = O(nk)

We need to find the smallest positive integer k for which this expression is big-O of nk.

Let's simplify the expression on the left-hand side:

n(n + 1)(2n + 1)/6 = (\(n^3 + n^2 + n\))/6

Now, we can compare the growth rates of (\(n^3 + n^2 + n\))/6 and nk.

As n approaches infinity, the term n^3 dominates the other terms in the numerator (n^2 and n), and the constant coefficient 1/6 can be ignored for big-O notation. Therefore, the growth rate of (\(n^3 + n^2 + n\))/6 is dominated by n^3.

So, we can conclude that \((n^3 + n^2 + n)/6 = O(n^3)\).

Thus, the smallest positive integer k such that 12 + 22 + 32 + ... + n2 is big-O of nk is k = 3, as the expression (\(n^3 + n^2 + n\))/6 has a growth rate of O(\(n^3\)).

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Answer: The area of the circle that passes through the three vertices of the isosceles triangle is (3sqrt(2))/2 pi square units.

Step-by-step explanation:

Since the circle passes through the three vertices of the isosceles triangle, the center of the circle must be the midpoint of the base of the triangle. Let's call this point O.

Let's draw a perpendicular from O to the midpoint of the third side of the triangle. This will bisect the base and form two right triangles. Let's call the height of each of these triangles h.

Since the isosceles triangle has two sides of length 3, we can use the Pythagorean theorem to find h:

h^2 + (3/2)^2 = 3^2

h^2 + 9/4 = 9

h^2 = 9 - 9/4

h^2 = 27/4

h = sqrt(27)/2 = (3sqrt(3))/2

Now, we know that the radius of the circle is equal to the distance from O to any of the vertices of the triangle. Let's call this distance r.

From the right triangle, we know that r^2 + h^2 = (2/2)^2 = 1

r^2 = 1 - h^2

r^2 = 1 - (27/4)

r^2 = -23/4

Since r is the distance from the center of the circle to a point on the circle, it must be positive. However, we see that r^2 is negative, which is impossible. Therefore, the circle cannot exist.

Since it is impossible for the circle to exist, we cannot find its area.

Step-by-step explanation:

a-2=3+6a/3

By cross multiply

3(a-2)=3+6a

3a-6=3+6a

-6-3=6a-3a

-9=3a

a=-3