The solution set for 5v^2 - 125 = 0 is

The equation relating x, y, and z is:

z = 0.5 * x * y.

In the given problem, the relationship between x, y, and z can be expressed by the equation z = k * x * y, where k represents the constant of proportionality. By substituting the values of x = 4 and y = 5, when z is equal to 10, we can determine the value of the constant of proportionality, k, and further define the relationship between the variables.

To find the constant of proportionality, we substitute the known values of x = 4, y = 5, and z = 10 into the equation z = k * x * y. This gives us the equation 10 = k * 4 * 5. By simplifying the equation, we have 10 = 20k. To isolate k, we divide both sides of the equation by 20, resulting in k = 0.5. Therefore, the equation relating x, y, and z is z = 0.5 * x * y, meaning that z is directly proportional to the product of x and y with a constant of proportionality equal to 0.5.

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Answer:

This is the graph. Hope the pic loads.

Answer:

2.449

Step-by-step explanation:

the square root of 6 is about 2.449

To calculate a 90% confidence interval in RStudio, we would use a z* value of 1.644854, which we can find using the qnorm() function with a confidence level of 0.9.

To calculate a 90% confidence interval, we need to find the critical value (z*) that corresponds to a confidence level of 90%. In RStudio, we can use the qnorm() function to find the z* value.

The qnorm() function takes two arguments: the first argument is the desired confidence level, expressed as a decimal (in this case, 0.9 for a 90% confidence level); the second argument is the mean, which is typically the sample mean in the case of a confidence interval.

To find the value of z* for a 90% confidence interval, we can use the following code in RStudio:

qnorm(0.95)

The output of this code will be 1.644854, which is the value of z* for a 90% confidence interval. We can then use this value to calculate the upper and lower bounds of the confidence interval using the formula:

Upper bound = sample mean + (z* x standard error of the mean)

Lower bound = sample mean - (z* x standard error of the mean)

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Answer:

Poli (muchas) edro (caras) luego sería muchas caras lo que representas las figuras poliédricas.

Step-by-step explanation:

La palabra poliedro viene del griego clásico πολύεδρον (polyedron), de la raíz πολύς (polys), «muchas» y de ἕδρα (hedra), «base», «asiento», «cara».

the answer is correct

we have to check that if we operate the numbers that are inside the box we get the numerator

The measure that changes the most is the IQR, which decreases from 34° to 29° when the value of 82° is changed to 94°.

First, let's recalculate the measures with the new value of 94°:

New Mean = (58+61+71+77+91+100+105+102+95+94+66+57)/12 = 82.5°

New Median = 82° (unchanged since the new value is between 91 and 66, which are the values above and below the original value of 82°)

New Range = 105° - 57° = 48° (unchanged since neither the maximum nor the minimum value has changed)

New IQR = Q3 - Q1, where Q1 is the first quartile and Q3 is the third quartile. To find the new quartiles, we need to first find the median of the lower and upper halves of the data set:

Lower half: 58, 61, 66, 71, 77, 82 = median of {66, 71} = 68.5

Upper half: 91, 94, 95, 100, 102, 105 = median of {95, 100} = 97.5

New Q1 = median of the lower half = 68.5

New Q3 = median of the upper half = 97.5

New IQR = Q3 - Q1 = 97.5 - 68.5 = 29

Therefore, the measure that changes the most is the IQR, which decreases from 34° to 29° when the value of 82° is changed to 94°.

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Answer:

The measure that changes the most is the IQR, which decreases from 34° to29° when the value of 82° is changed to 94°.

Step-by-step explanation:

That is at least what I got

The greatest common divisor (GCD) of 29 × 36 × 59 and 23 × 34 × 52 is 12,332.

To find the GCD of two numbers, we can factorize both numbers into their prime factors and then find the common prime factors with the lowest exponent.

First, we factorize 29 × 36 × 59 and 23 × 34 × 52:

29 × 36 × 59 = 2^2 × 3^2 × 29 × 59

23 × 34 × 52 = 2^2 × 13 × 17 × 23 × 29

Next, we identify the common prime factors with the lowest exponent:

The common prime factors are 2^2 and 29.

Finally, we multiply the common prime factors together to get the GCD:

GCD = 2^2 × 29 = 4 × 29 = 116.

Therefore, the GCD of 29 × 36 × 59 and 23 × 34 × 52 is 12,332.

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Let the marked price of the article be M.

As per the problem, the article is sold at a 20% discount on the marked price, which means the selling price is 80% of the marked price:

80% of M = 4520

0.8M = 4520

M = 4520/0.8

M = 5650

So the marked price of the article is Rs 5650.

Now, 20% discount on the marked price means that the discount amount is:

20% of M = 20/100 * 5650

= 1130

Therefore, the discount amount is Rs 1130.

Answer:

B

Step-by-step explanation:

The explanation is attached below.

Answer:

Step-by-step explanation:

D. supplementaryAn exterior angle is an angle that is supplementary when any of its side-extended with an interior angle of a triangle. In other words, when you extend one side of a triangle, you create an exterior angle that is adjacent to and supplementary (adds up to 180 degrees) with the interior angle next to it. This property is true for all triangles.

Answer:

(- 3, 1 )

Step-by-step explanation:

Given the 2 equations

2x - 2y = - 8 → (1)

x + 2y = - 1 → (2)

Adding the 2 equations will eliminate the y- term, that is

3x = - 9 ( divide both sides by 3 )

x = - 3

Substitute x = - 3 into either of the 2 equations and evaluate for y

Substituting into (2)

- 3 + 2y = - 1 ( add 3 to both sides )

2y = 2 ( divide both sides by 2 )

y = 1

Solution is (- 3, 1 )

Answer:

-3,1

Step-by-step explanation:

A region in the first quadrant defined by the x-axis, the graph of x=y2+2, and the line x=4 is called R then the area of R be \($-\frac{2 \sqrt{2}}{3}+2 \sqrt{2}$$\)

A parabola is a U-shaped plane curve in which every point is situated at an equal distance from both the focus, a fixed point, and the directrix, a fixed line. A parabola is a U-shaped curve that represents the graph of a quadratic function.

Students are able to fill in the gap between the mathematics they learn in class and the things they see in real life by drawing a comparison between the equation of a parabola and a shape found in the real world (the parabaloid). They can conceive difficult ideas that they might otherwise find repugnant by doing this.

Sketch the graph of \($x=y^2+2$\) by sketching the sideways parabola \($x=y^2$\) then adding 2 to the x coordinates (translate 2 to the right).

Add the x axis and the vertical line x = 4.

The area can be found by either

\($\int_2^4 \sqrt{x-2} d x$$\) or \($\int_0^{\sqrt{2}}\left(4-\left(y^2+2\right)\right) d x$$\)

\($=\int_0^{\sqrt{2}}-x^2+2 d x$$\)

Apply the Sum Rule: \($\int f(x) \pm g(x) d x=\int f(x) d x \pm \int g(x) d x$\)

\($=-\int_0^{\sqrt{2}} x^2 d x+\int_0^{\sqrt{2}} 2 d x$$\)

simplifying the equation, we get

\($\int_0^{\sqrt{2}} x^2 d x=\frac{2 \sqrt{2}}{3}$$\)

\($\int_0^{\sqrt{2}} 2 d x=2 \sqrt{2}$$\)

\($=-\frac{2 \sqrt{2}}{3}+2 \sqrt{2}$$\)

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Answer:

8.4 grams

Step-by-step explanation:

We have $70 to start and someone us another $30 for a total of $100.  We pay $100 for 28 grams of seeds.  If we assume the peron giving us $30 wants a fair share of the seeds, we would calculate an average cost per gram and use that to determine the grams of seeds that the $30 would have covered.

($100/28 grams) = $3.57/gram

($30/$3.57/gram) = 8.4 grams

Answer:

28 grams of seeds

Step-by-step explanation:

(This question is a little tricky)

Note that:

{28 grams of seeds = $100}

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

You have $70 already, and then someone gives you $30.

It means $70 + $30 = $100

So you have $100 now, you can buy 28 grams of seeds and give the person that gave you $30.

Hope this helps :)

=========================================================

Explanation:

Triangle ABC is isosceles because sides AB and AC are the same length (both 8 units long).

The angles opposite these congruent sides are known as the base angles, and they are congruent angles.

So the base angles B and C are 30 degrees each.

----------

Next, we'll use the idea that for any triangle, the three angles always add to 180

So,

A+B+C = 180

A+30+30 = 180

A+60 = 180

A = 180-60

A = 120 degrees

Answer:

aasssss

Step-by-step explanation:

aaaxxxxxxxxx

A is the

okndsaxknfj ejfkl jfkj jlk jalkfjkfjkljfklj j

Answer:

2x+9

Step-by-step explanation:

(4x-15)-(2x-24)

4x - 2x - 15 - -24

4x - 2x - 15 + 24

2x - 15 + 24

2x + 9

2x+9

Answer:

40 2/5Ibs or \(40\frac{2}{5}\) lbs

Step-by-step explanation:

Let weight of object on the moon be represented = Wm

weight of object on the Earth = We

In the above question, we are told:

The weight of an object on the moon is

5 of its weight on Earth.

Hence, mathematically, this is represented as:

 5Wm = We

If a moon rock weighs 202 lbs on Earth

5Wm = 202lbs

Wm = 202lbs/5

Wm = \(40\frac{2}{5}\)Ibs

Therefore, the moon rock weighs \(40\frac{2}{5}\)Ibs on the moon.

The solution when solved for b is 14 degrees because angles b and b + 56 are vertically opposite.

When a transversal cuts two parallel lines, some of the angles become congruent.

From the given diagram, the given angles are equal according to the vertical angles theorem.

Both angles are vertically opposite become they meet at a point of intersection.

Hence 5b = b + 56

5b - b = 56

4b = 56

b = 56/4

b = 14

Hence the solution when solved for b is 14 degrees because angles b and b + 56 are vertically opposite.

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Answer:

mean = 137

median = 139.5

Step-by-step explanation:

To find the mean, add all the numbers together and divide by the number of numbers there is:

mean = (126 + 136 + 150 + 117 + 150 + 143)/6

mean = 822/6

mean = 137

To find the median, simply order the numbers from least to greatest, and find the middle term. Since there is an even number in this set, you will find the mean of the two middle terms:

median: 117 , 126 , 136 , 143 , 150 , 150

median = (136 + 143)/2

median = 279/2

median = 139.5

~

Answer:

The mean is 137 and the median can be 139

Step by step explanation:

To find the mean add all of the numbers up and divide them by 6.

To find the median, put all of the numbers in order (largest to smallest) and find the middle number. If there is no middle number then find the middle number in between those two numbers.

Answer:

Step-by-step explanation:

we are expected to solve for the final velocity

using

V^2=U^2+2as we have

s=1m

U=0m/s

a=9.81m/s^2

substituting we have

V^2=U^2+2as

V^2=0+2*9.81*1

V^2=19.62

squaring both sides we have

V=√19.62

V=4.4m/s

Answer:

35%

Step-by-step explanation:

The required percentage of the mocha cupcakes that were sold that day is 85%.

Given that,
A bakery sells mocha cupcakes and chocolate cupcakes. One day it sold 238 mochas and 42 chocolate. What percent of the cupcakes sold that day were mocha is to be determined.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
Number of mocha cupcakes = 238
Number of chocolate cupcakes = 42
Total cupcakes = 238 + 42 = 280
Percentage of mocha sold = 238/280 = 0.85 or 85%

Thus,  the required percentage of the mocha cupcakes that were sold that day is 85%.

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Answer:

D)\(x = \frac{8}{3} \: or \: x = - \frac{5}{2} \)

Step-by-step explanation:

\(6 {x}^{2} - x - 40 = 0 \\ 6 {x}^{2} - 16x + 15x - 40 = 0 \\ 2x(3x - 8) + 5(3x - 8) = 0 \\ (3x - 8)(2x + 5) = 0 \\( 3x - 8)(2x + 5) = 0 \\ 3x - 8 = 0 \: \: \: \: or \: \: \: 2x + 5 = 0 \\ x = \frac{8}{3} \: \: \: or \: \: \: x = - \frac{5}{2} \)

Answer:

y = 65x + 250

Step-by-step explanation:

Let the linear equation representing the relation between total pay and number of computers sold be,

y = mx + c

Here, m = commission on every computer sold = slope of the linear function

c = weekly salary

y = total pay

x = number of computer sold each week

Since, slope of the line passing through two points \((x_1,y_1)\) and \((x_2,y_2)\) is given by,

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

From the table attached,

Slope of the line passing through (4, 510) and (6, 640),

m = \(\frac{640-510}{6-4}\)

   = 65

Equation of the line will be,

y = 65x + c

Since, this line passes through (4, 510),

510 = 65(4) + c

c = 510 - 260

c = 250

Therefore, equation of the line will be,

y = 65x + 250

The given statement "An algorithm is a calculation that determines how long it will take to solve a problem." is False.

An algorithm is not just a calculation that determines how long it will take to solve a problem. An algorithm is a step-by-step set of instructions or a process used to solve a problem or perform a specific task. It is a systematic approach that allows a computer or human to break down a problem into smaller, manageable parts and reach a solution effectively.

Algorithms are the foundation of computer programming and can be applied in various fields such as mathematics, data processing, and problem-solving. They can be simple, like finding the largest number in a list, or complex, like solving a Rubik's Cube.

Efficiency is a key factor in evaluating algorithms. The time and resources required for an algorithm to solve a problem can vary greatly depending on the method used. However, the primary purpose of an algorithm is to provide a clear and concise procedure to reach a solution, rather than just estimating the time needed to solve a problem.

In summary, an algorithm is a well-defined process designed to perform a specific task or solve a problem, rather than just calculating the time required to do so. Its effectiveness depends on its efficiency, accuracy, and the simplicity of the steps involved.

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Answer:

n = 19/18

Step-by-step explanation:

11/6 = n + 7/9

-n + 11/6 = 7/9

-n = 7/9 - 11/6

-n = -19/18

n = 19/18

Answer:

n = 19/18

Step-by-step explanation:

The equation 11/6=n+7/9 has fractions with two different denominators (6 and 9).  The LCD is 18, which is the smallest number evenly divisible by 6 and 9.  Thus, we can rewrite 11/6=n+7/9 as:

33/18 = (18/18)n + 14/18 (Now all three denominators are the same:  18)

Then 33 = 18n + 14, or

         19 = 18n

Dividing both sides by 18, we get n = 19/18

Check:  Is 11/6 = 19/18 + 7/9 true?  YES

Answer:

\(x=-44\)

Step-by-step explanation:

\(3x+10=4x+54\)

To solve for the variable \(x\), start by subtracting \(3x\) from both sides of the equation:

\(10=x+54\)

Then, subtract \(54\) from both sides of the equation:

\(-44=x\)

Therefore, \(x=-44\)

-

To check your work, simply substitute the solved value of \(x\) into the initial equation:

\(3(-44)+10=4(-44)+54\)

Multiply:

\(-132+10=-176+54\)

Add:

\(-122=-122\)

Since both sides of the equation are equal to each other, our solution is correct!

Answer:

\( = > 3x + 10 = 4x + 54\)

We need to get the x on the one side and the numbers on the other.

Subtract 3x from both sides:

\( = > 3x - 3x + 10 = 4x - 3x + 54\)

\( = > 10 = x + 54\)

Subtract 54 from both sides:

\( = > 10 - 54 = x + 54 - 54\)

\( = > - 44 = x\)

Thus,the value of x is -44.

For checking:

\( = > 3x + 10 = 4x + 54\)

\( = > 3( - 44) + 10 = 4( - 44) + 54\)

\( = > - 132 + 10 = - 176 + 54\)

\( = > - 122 = - 122\)

Answer: 4

Step-by-step explanation: We can identify the number of significant digits by counting all the values starting from the 1st non-zero digit located on the left. For example, 12.45 has four significant digits.