Which of the following best describe perpendicular lines? A.lines that are not in the same plane B. Lines that meet at a 90* angle C. Lines that meet at a 45' angle D. Lines that are coplanar and do not intersect

Answer:

MH is not the correct name for the line segment.

Step-by-step explanation:

Consider the provided information.

A line segment is a line having a starting and end point or we can say portion of a line between two points.

We can represents a line segment by single over bar over the letters.

For example: Consider the figure 1.

The line segment shown in figure 1 is represented by either:

[tex]\overline {GH}\ or\ \overline {HG}[/tex]

The above notation can be read as line segment GH or line segment HG.

Now consider the provided statement. We need to identify the correct name for the line segment.

Option A) MH is wrong notation for the line segment.

Option B) [tex]\overline {MH}[/tex] is the correct notation for the line segment.

Option C) Line segment MH is correct name for the line segment.

Option D) [tex]\overline {HM}[/tex] is the correct notation for the line segment.

Hence, MH is not the correct name for the line segment.

The answer is B. He could increase the sample size.

To make x the subject of the equation, you can rearrange the equation x = 5t - a.

To make x the subject of the equation, we need to isolate the variable on one side of the equation. Here's how:

Therefore, to make x the subject, the equation is x = 5t - a.

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Hello!

If you do not know 1 question;

100-20=80

If you do not know 2 question;

20+20=40 100-40=60

If you do not know 3 question;

20+20+20=60 100-60=40

If you do not know 4 question;

20+20+20+20=80 100-80=20

If you do not know 5 question;

20+20+20+20+20=100 100-100=0

To find the volume of the box, convert all units to inches, then apply the formula for the volume of a rectangular prism, resulting in 2,121.6 cubic inches.

To calculate the volume of the box with dimensions given in inches and feet, we first need to convert all units to the same system. Since the width is given in feet (1.3 feet), we convert it to inches knowing that 1 foot equals 12 inches. Thus, 1.3 feet is equal to 1.3 × 12 = 15.6 inches.

To find the volume of the box, you need to multiply the length, width, and height together:

Convert the dimensions to a consistent unit, such as inches.

Calculate: 17 inches x 1.3 feet x 8 inches = 176.8 cubic inches.

Therefore, the volume of the box is 176.8 cubic inches (in3).

Now, with all dimensions in inches: the length is 17 inches, the width is 15.6 inches, and the height is 8 inches. Applying the formula for the volume of a rectangular prism, V = l × w × h, we get:

V = 17 inches × 15.6 inches × 8 inches = 2,121.6 cubic inches.

Therefore, the correct option is 2121.6 cubic inches (in3).

Answer:

C. 74

Step-by-step explanation:

NOTICE: Edge loves moving things around SO IT MIGHT NOT BE C FOR YOU But its fore sure 74

Final answer:

Mr. Thom can put $59 per week towards emergency savings.

Explanation:

To find the total amount that Mr. Thom can put towards emergency savings per week, we need to calculate the difference between his total paycheck and the sum of his weekly deposits into the other accounts. From the given information, his total paycheck is $498, and the sum of his weekly deposits into the other accounts is $219 + $115 + $40 + $10 + $40 + $15 = $439. We can subtract the sum of the weekly deposits from the total paycheck to find the difference, which is $498 - $439 = $59. This is the amount that Mr. Thom can put towards emergency savings per week.

20% of 235 is the number 47.

Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

Percentage is usually denoted by the symbol '%'.

Let x be the unknown number.

Given that 20% of the number x is 47.

Mathematically, this can be written as,

20% × x = 47

(20/100) x = 47

0.2x = 47

x = 47 / 0.2

x = 235

Hence the unknown number is 235.

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The vertex of the function f(x) = 5x²+ 10x + 8 and indicate Minimum at (-1, 3)

To find the vertex of the function f(x) = 5x² + 10x + 8 using the completing-the-square method, follow these steps:

Step 1: Write the function in the form (ax² + bx + c).

f(x) = 5x² + 10x + 8

Step 2: Identify the coefficient of x² and divide it by 2. This gives us (b/2a).

In this case, a = 5, b = 10, so (b/2a) = 10 / (2 * 5) = 1.

Step 3: Square the result from Step 2 [(b/2a)²].

(1)² = 1.

Step 4: Add and subtract the result from Step 3 to the function inside the parentheses.

f(x) = 5x² + 10x + 1 - 1 + 8

Step 5: Group the terms.

f(x) = (5x² + 10x + 1 - 1) + 8

Step 6: Factor the quadratic expression inside the parentheses and simplify.

f(x) = 5(x² + 2x + 1) + -5 + 8

f(x) = 5(x + 1)² + 3

Now the function is in the form f(x) = a(x - h)² + k, where (h, k) represents the vertex of the parabola.

Comparing the function with this standard form, we can see that the vertex is at (-1, 3). The value of 'h' represents the x-coordinate of the vertex, and 'k' represents the y-coordinate of the vertex.

Therefore, the correct answer is:

Minimum at (−1, 3)

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am going to assume you know how to calculate standard deviation, as it is long and tedious to type up. If you really don't understand how to calculate them, I will explain it. The standard deviation is larger in data set 1 than 2, because the spread is larger. The larger the spread, the larger the deviation of the numbers in the set are from the mean (average) number. The standard deviation in 1 is greatest. 2 is in the middle, and 3 is the lowest standard deviation. Hope this helps, good luck.

Answer:

Larger the standard deviation larger the spread present in data.

Step-by-step explanation:

Standard Deviation is the square root of sum of square of the distance of observation from the mean.

[tex]Standard deviation(\sigma) = \sqrt{\frac{1}{n}\sum_{i=1}^{n}{(x_{i}-\bar{x})^{2}}}[/tex]

where, [tex]\bar{x}[/tex] is mean of the distribution.

It  is used to measure dispersion (spread) of the data. Larger the standard deviation larger the dispersion (spread) present in data.

The Standard deviation of 1st data set is 39.53

The Standard deviation of 2nd data set is 15.81

The Standard deviation of 3rd data set is 7.91

Hence,

(Spread of 1st data set) > (Spread of 2nd data set) > (Spread of 3rd data set)

Answer: Option A.

Step-by-step explanation:

The lines that we have is:

y = (1/2)x - 3

y = -2x + 16

Now, two lines of the shape y1 = a1*x + b1 and y2 = a2*x + b2 are parallel if both lines have the same slope, this means that a1 = a2.

Those lines are perpendicular if a1 = -1/a2

now, the slope in the first equation is (1/2) and in the second equation is -2.

so a1 = 1/2

-1/a1 = -(2) = a2

so the two lines are perpendicular, the correct option is A

The set 8, 15, 17 is a Pythagorean triple because 8^2 + 15^2 = 17^2. A triangle with sides of 6, 7, and 10 is an obtuse triangle, because 10^2 > 6^2 + 7^2.

The set of numbers, 8, 15, 17, represents a Pythagorean triple. A Pythagorean triple consists of three positive integers a, b, and c, such that a^2 + b^2 = c^2. In this case, 8^2 + 15^2 = 64 + 225 = 289, and 17^2 = 289, so the equation is satisfied.

Furthermore, a triangle with sides 6, 7, and 10 would be described as obtuse. In any triangle, if the square of the length of the longest side is greater than the sum of the squares of the other two sides, then the triangle is obtuse. Thus, if 10^2 > 6^2 + 7^2, or 100 > 36 + 49, then the triangle is obtuse. Since this statement holds true, the triangle is indeed obtuse.

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The correct options are: B. 8, 15, 17 and A. obtuse

We can use the Pythagorean theorem to determine which set of numbers is a Pythagorean triple. The theorem states that in a right triangle, the square of the hypotenuse (c) equals the sum of the squares of the other two sides (a and b): a2 + b2 = c2.

The correct Pythagorean triple is 8, 15, 17.

To determine the type of triangle with side lengths 6, 7, and 10, we use the idea that for a triangle with sides a, b, and c (where c is the longest side):

For the triangle with sides 6, 7, and 10:

[tex]6^2+7^2=36+49=85[/tex] and [tex]10^2=100[/tex].

Since 100 > 85, the triangle is obtuse.

At the end of 5 years, with the 3.1% interest rate, your savings account will grow to $349.47.

Use the concept of percentage defined as:

A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the word percent means.

Given that,

A new savings account is opened with $300.

The account earns a 3.1% interest rate per year.

The interest is calculated yearly.

The duration of the investment is 5 years.

After the first year,

Savings will increase by 3.1% of $300, which is $9.30.

So, your balance at the end of the first year will be $309.30.

For the following years,

you will continue to earn 3.1% interest on the new balance each year. Here's a breakdown of your balance at the end of each year:

Year 1: $309.30

Year 2: $309.30 + 3.1% of 309.30 = $318.88

Similarly

Year 3: $328.77

Year 4: $338.96

Year 5: $349.47

Hence,

At the end of 5 years, with the 3.1% interest rate, your savings account will grow to $349.47.

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