What’s the size of angle x

Answer: 32 parts red

Step-by-step explanation:

3 parts white : 8 parts red

12 parts white : ?

12/3 x 8 = 32 parts red

Answer:

32 parts

Step-by-step explanation:

We can use ratios to solve

3 white           12 white

---------------- = -----------------

8 red              x red

Using cross products

3x = 8*12

3x = 96

Divide each side by 3

3x/3 =96/3

x= 32

Answer:

The expression x⁴ + 8x³ + 34x² + 72x + 81 cannot be factored further using simple integer coefficients. It does not have any rational roots or easy factorizations. Therefore, it remains as an irreducible polynomial.

Answer:

60 degrees counterclockwise

Step-by-step explanation:

One circle is 360 degrees.

If the circle is split into 6 pieces, (360/6 = 60), then each piece is 60 degrees, like in the example.

Answer:

60 degrees counterclockwise

Step-by-step explanation:

Answer:

1- OII

2- ONI

3-OII

4-ONI

5-ONI

6-ONI

7-ONI

8-OII

9-OII

10-OII

I'm not sure if it's all right :,)

There are 21 kilograms of potash in a bag of fertilizer that weighs 49 kilograms.

The total number of parts of the fertilizer is calculated as;

total parts =  is 2+3+2

total parts = 7

The mass of potash in a bag of fertilizer is calculated by using the fraction of the mixture that is potash, and multiply it by the total weight of the bag.

The fraction of the mixture that is potash  =3/7.

The mass is calculated as follows;

mass = (3/7) x 49 kg

mass = 21 kg

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The value of x would make the triangles similar by the SSS similarity theorem would be 30 . Option C

The SSS similarity theorem of triangles holds that if the three sides of two triangles are proportional, then the triangles are similar.

If the two triangles are to be similar, we have that:

45/x = 75/50

Cross multiply

x = (45 × 50)/75

x = 2250/75

x = 30

Therefore, the value of x would be 30 . Option C

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The total amount of pentagons and hexagons that Shari does need altogether is given as follows:

32.

The total amount is obtained applying the proportions and ratios in the context of the problem.

Sheri needs 3 pentagons for every 5 hexagons, hence the equation is:

H = 5P/3.

Sheri needs between 10 and 15 pentagons, hence the possible amounts are given as follows:

Hence the amount is of 12 pentagons and 20 hexagons, thus the amount is:

12 + 20 = 32 pentagons and hexagons altogether.

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To make the given statements true, $967.72 should be invested in the account today, with no additional deposits or withdrawals being made.

Compound interest refers to the amount of interest added on the principal amount plus interest. The formula for compound interest is:

B = P(1 + r/n)^t

where B is the ending balance, P is the principal amount or original balance, r is the interest rate in decimal form, n = number of times interest is compounded annually, and t is the time in number of year

Based on the given information, P is the unknown and

B = $2174. 30

t = 18

r = 4. 6% = 0.046

n = 1

Plug in the values and solve for P or the amount that should be invested today.

B = P(1 + r/n)^t

$2174. 30 = P(1 + (0.046/1))^18

$2174. 30 = P(1.046)^18

P = $2174. 30 / (1.046)^18

P = $967.72

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Answer:

200°

Step-by-step explanation:

<2 = 90° (right angle)

<3 = 70° (vertically opposite angles)

<4 + <3 = 180° ( angles on a straight line)

<4 + 70 = 180°

<4 = 180° - 70°

<4 = 110°

<2 + < 4

= 90 ° + 110° = 200°

a. There are a total of 676,000 different license plates that can be printed.

b.The vehicle can be ordered in 288 configurations.

c.Jeffrey can make 192 different outfits.

a. To find the number of different license plates that can be printed, we need to calculate the possibilities for each character position.

For the first two characters, each can be any digit from 0 to 9. So, there are 10 possibilities for each position.

For the next two characters, each can be any letter from A to Z. There are 26 letters in the English alphabet, so there are 26 possibilities for each position.

For the last two characters, each can be any letter from A to Z or any digit from 0 to 9. Since there are 26 letters and 10 digits, there are a total of 36 possibilities for each position.

To calculate the total number of different license plates, we multiply the number of possibilities for each position: 10 (for the first digit) * 10 (for the second digit) * 26 (for the third letter) * 26 (for the fourth letter) * 36 (for the fifth character) * 36 (for the sixth character) = 676,000.

b. To determine the number of configurations, we need to multiply the number of choices for each attribute.

For the exterior color, there are 6 options available.

For the interior color, there are 3 options available.

For the option packages, there are 4 options available.

By multiplying these choices together, we get:

6 (exterior colors) * 3 (interior colors) * 4 (option packages) = 72 configurations.

However, each of these configurations can also be ordered with or without an option package, so we need to double the number of configurations.

Therefore, the total number of configurations is:

72 configurations * 2 (with or without option package) = 144 configurations.

c. To calculate the total number of different outfits Jeffrey can make, we need to multiply the number of options for each item of clothing.

Jeffrey has 2 options for jackets, 3 options for shirts, 4 options for trousers, and 8 options for ties. To find the total number of outfits, we multiply these numbers together:

2 (jackets) * 3 (shirts) * 4 (trousers) * 8 (ties) = 192

This means that Jeffrey can make 192 different outfits by choosing any combination of colors/patterns for his jackets, shirts, trousers, and ties.

The multiplication principle, also known as the counting principle, is used to find the total number of outcomes when multiple choices are made independently. In this case, we are assuming that Jeffrey doesn't care about coordinating the different clothing items, so each item can be chosen freely from its available options.

It's important to note that this calculation assumes that Jeffrey will wear only one jacket, one shirt, one pair of trousers, and one tie at a time. If he were to wear multiple items of the same clothing type simultaneously, the number of outfits would be different.

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When scores are measured on a nominal scale, the appropriate frequency distribution graph is a bar graph. Therefore, the correct answer is option D: Only a bar graph.

A nominal scale is the lowest level of measurement, where data is categorized into distinct categories or groups without any inherent order or magnitude. In this type of measurement, the data points are labeled or named rather than assigned numerical values. Examples of variables measured on a nominal scale include gender (male/female), marital status (single/married/divorced), or eye color (blue/brown/green).

A bar graph is a visual representation of categorical data that uses rectangular bars of equal width to depict the frequency or count of each category. The height of the bars represents the frequency or count of observations in each category. The bars in a bar graph are usually separated by equal spaces, and there is no continuity between the bars. The categories are displayed on the x-axis, while the frequency or count is displayed on the y-axis.

A bar graph is particularly useful for displaying and comparing the frequencies or counts of different categories. It allows for easy visualization of the distribution of categorical data and helps to identify the most common or least common categories. The distinct separation of the bars in a bar graph is suitable for representing data measured on a nominal scale, where the categories are discrete and do not have a natural order or magnitude.

Histograms, polygons, and other types of frequency distribution graphs are more appropriate for variables measured on ordinal, interval, or ratio scales, where the data points have numerical values and a specific order or magnitude.

In summary, when scores are measured on a nominal scale, the most appropriate frequency distribution graph is a bar graph. It effectively represents the frequencies or counts of different categories and allows for easy visualization and comparison of categorical data.

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To determine the sign of the sum of two integers when one integer is positive and the other is negative, we can follow a simple rule based on their magnitudes.

If the magnitude of the positive integer is greater than the magnitude of the negative integer, the sum will be positive. This is because the positive integer outweighs the negative integer, resulting in a positive value.

On the other hand, if the magnitude of the negative integer is greater than the magnitude of the positive integer, the sum will be negative. In this case, the negative integer dominates and determines the sign of the sum.

In both scenarios, the sign of the larger magnitude integer takes precedence and determines the sign of the sum. It is important to note that the sum will always have the sign of the integer with the larger magnitude, regardless of the specific values of the integers involved.

By considering the magnitudes of the integers, we can easily determine the sign of their sum when one integer is positive and the other is negative.

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We can conclude that at least 56% of the data values will fall in the range of $48 to $60.

Given data: The average labor charge for automobile mechanics is $54 per hour.

The standard deviation is $4.

Using Chebyshev’s theorem, we need to find the percentage of data values that will fall in the range of $48 to $60.

Chebyshev's theorem states that at least 1-1/k2 of the data will lie within k standard deviations of the mean of a random data set.

It does not depend on the shape of the data distribution, only the standard deviation is used in the calculations.

The formula for Chebyshev's theorem is:

1-1/k2  where k is the number of standard deviations from the mean.

Let's find the value of k first. k is calculated as:

k = (upper limit of the range - the mean) / the standard deviation

= (60 - 54) / 4

= 1.5k

= (mean - lower limit of the range) / the standard deviation

=  (54 - 48) / 4

= 1.5

Now, we will use Chebyshev's theorem to find the percentage of data that will fall within this range:

1-1/k2 = 1 - 1/1.5²

= 1 - 0.44

= 0.56

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The rate at which the distance from the plane to the station is increasing when it has a total distance of 4 miles away from the station is 317.5 mi/h.

A rate in which a certain number of units of the first quantity are compared to one unit of the second quantity is not the same as a unit rate. In other words, we may state that the comparison's second amount is always 1.

Thus, P denotes the plane's location, R denotes the radar's location, and V denotes the point that is vertical to the radar and at the plane's height.

Assume that h is the height of the plane, s is the separation from the radar, and x is the separation from point V.

The plane travels at 480 miles per hour and has a 3 mile height. Ds-480 miles per hour.

dt By Pythagorean theorem,

x² = h² + s²

x² = 3²+s²

x² = 9 + s²

Differentiate implicitly with respect to t.

2x dx/dt = 2s ds/dt + 0

x dx/dt = s ds/dt

Use (1)

dx/dt = \(\frac{dx}{dt} =\frac{\sqrt{x^2-9} }{x}\)

= √7/4 x 480

= 120√7

≈ 317.49

Hence, the distance increasing at the rate of dx/dt is 317.5 mi/h.

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The restriction on the the values of y of the triangle is 4 < y < 16

The triangle inequality theorem describes the relationship between the three sides of a triangle.

According to triangle inequality theorem, for any given triangle, the sum of two sides of a triangle is always greater than the third side.

Therefore, a triangle x, y and z have the following rule:

x < y + z

y < x + z

z < x + y

Hence, the restriction of the on the values of y, third side of the triangle is as follows:

6 < 10 + y

10 < 6 + y

y < 10 + 6, y < 16

Therefore, the restriction is y > 4 and y < 16.

Hence,

4 < y < 16

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Answer:

Point-slope form: y + 5 = 13/-4 (x-1)

Slope-intercept form:

Step-by-step explanation:

Ok, so first to find the equation in point-slope form, you need to find the slope. So, the slope would be 7- (-5)/-3-1 , which is 13/-4. That is your slope, or m. Now, for point-slope form, you have the equation y - y1 = 13/-4 (x-x1). Now, you take one of your points, say (1, -5), and you put it into the equation. So your point-slope form equation would be y - (-5) = 13/-4 (x - 1). This would simplify to y + 5 = 13/-4(x - 1).

Now for slope-intercept form, you have m, the slope, which is 13/-4. Substituting that into the equation, you have y = 13/-4x + b. To find b, you substitute one of your coordinates into the equation. For example, (1, -5). Then you have -5 = (13/-4 * 1) +b. Simplify this, and you have b = -5+ 13/-4, which is -20/4 + 13/-4, which is -20/4 - 13/4 = -33/4. So your final equation is y = 13/-4x - 33/4.

Hope that helped.

Answer:

y-9=4/5(x+7)

Step-by-step explanation:

y-y1=m(x-x1)

y-9=4/5(x-(-7))

y-9=4/5(x+7)

The maximum area of the quadrilateral is achieved when it is a square with a side length of 50cm, resulting in an area of 2500cm².

This is because a square has equal sides and equal angles,

resulting in the most efficient use of the perimeter to enclose the maximum area.

To see why, consider a rectangle with a perimeter of 200cm.

If the rectangle is long and thin, with one side much longer than the others,

then it will have a smaller area than a square with the same perimeter.

This is because the longer sides of the rectangle will be less effective at enclosing area than the shorter sides.

Hence, The maximum area of a quadrilateral with a minimum perimeter of 200cm is achieved when the quadrilateral is a square.

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The best prediction is that the college will have about 480 students who prefer cookies.

According to the table, 27 out of 225 students prefer cookies. To find the prediction for the number of cookies the college will need, we can set up a proportion:

27/225 = x/4000

Where x is the predicted number of students who prefer cookies.

Solving for x, we get:

x = (27/225) * 4000

x ≈ 480

Therefore, the best prediction is that the college will have about 480 students who prefer cookies.

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Answer:

D

Step-by-step explanation:

you will be multiplying Matrix C with Matrix D so, after using the rule for multiplication of matrices

[ 5x2 +9x4 + 7x1 5x(-4) + 9x0 + 7x7]

[ 10 + 36 + 7 -20 + 0 + 49 ]

[ 53 29]

hope this helps.

Brainly is an awesome app, but there is an app which is doing great work for me in maths, named Gauthmath. I will suggest it. Video concepts and answers from tutors.

The product of matrices C and D is [53 29]. Therefore, option D is the correct answer.

The product of two matrices A and B is defined if the number of columns of A is equal to the number of rows of B. If both A and B are square matrices of the same order, then both AB and BA are defined. If AB and BA are both defined, it is not necessary that AB = BA.

Given that, C=[5 9 7] and D= \(\left[\begin{array}{ccc}2&-4\\4&0\\1&7\end{array}\right]\)

Here, CD = [5×2+9×4+7×1 5×(-4)+9×0+7×7]

= [10+36+7 -20+49]

= [53 29]

Therefore, option D is the correct answer.

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The measure of angle 8 is 83 degrees.

To find the measure of angle 8, we need to use the properties of parallel lines and transversals.

Based on the given information, angle 2 and angle 6 are corresponding angles because they are on the same side of the transversal line and are congruent.

So, we can set up an equation to find the value of x. We know that angle 2 is equal to 8x and angle 6 is equal to x^2 - 38.

Setting them equal to each other, we get:

\(8x = x^2 - 38\)

Rearranging the equation, we have:

\(x^2 - 8x - 38 = 0\)

Now, we can solve this quadratic equation for x.

Using factoring, quadratic formula, or completing the square, we find that x = -3 or x = 11.

Since angle measurements cannot be negative, we can discard -3 as a solution. Therefore, x = 11.

To find the measure of angle 8, we substitute x = 11 into the equation for angle 6:

angle \(6 = x^2 - 38\)

\(= (11)^2 - 38\)

= 121 - 38

= 83

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Answer:

This is true

Step-by-step explanation:

Yes when you make a radical into a power you can simplify the power, like you are saying.

The odds of obtaining a yellow marble from the second bag are $frac62245$. As a result, option D is right.

Bag A in this problem comprises $3 white marbles and $4 black marbles.

Bag B includes $6.00 worth of yellow marbles and $4.00 worth of blue marbles. Bag C includes $2 blue marbles and $5 yellow marbles.

A marble is picked at random from bag a, and if it is white, a marble is drawn from bag b.

If it is not black, a marble is selected from bag c. We must calculate the likelihood that the second stone drawn is yellow.

The Bayes theorem can be used to tackle this problem. First, we shall calculate the chance of pulling a white marble from bag a.

We are handed a bag containing $3 white marbles and $4 black marbles.

As a result, the likelihood of pulling a white marble from bag an is:$$P(text white from bag a) = frac33+4=frac377$$If we pull a white marble from bag a, the chance of obtaining a yellow marble from bag b is: $P(text yellow from bag b|white from bag a)=frac6+4=frac35$

Similarly, if we pull a black marble from the bag a, our chances of obtaining a yellow marble from bag c are as follows:$P(text yellow from bag c | black from bag a)=frac22+5=frac27$

As a result, the likelihood of drawing a yellow marble from the second bag is:$P(text yellow marbling)=P(text yellow from bag b|white from bag a)dot P(text white from bag a)dot P(text white from bag a) +P(text yellow from bag c|black from bag a)cdot P(text black from bag a)dot P(text yellow from bag a)cdot P(text yellow from bag a)cdo$$$$= frac35 cdot frac37 + frac27 cdot frac47 + frac247 cdot frac447$$$$=frac635 + frac8245 = frac62245$$

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The monthly payment to pay off a $3800 balance on a credit card with a 16% APR in 1 year is $316.67. When the card is paid off, the total amount paid since January will be $3,800, with 0% of the payment being interest.

To calculate monthly payments, we need to determine the number of months required to pay off the card. Since the goal is to pay off the balance in 1 year, or 12 months, the monthly payment can be calculated by dividing the balance by the number of months. In this case, the monthly payment would be $316.67 ($3800/12).

To calculate the total amount paid since January, we multiply the monthly payment by the number of months. In this case, the total amount paid would be $3,800, as the balance is paid off in full.

To determine the percentage of the total payment that is interest, we need to calculate the total interest paid. This can be done by subtracting the initial balance from the total amount paid. In this case, the total interest paid would be $0 since the balance is paid off completely. Therefore, the percentage of the total payment that is interest is 0%.

In summary, the monthly payment to pay off a $3800 balance on a credit card with a 16% APR in 1 year is $316.67. When the card is paid off, the total amount paid since January will be $3,800, with 0% of the payment being interest.

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The median number of telephone line in thousands is 0

The number of telephone lines in each country = 250000

From the given dot plot

The data set will be

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 250, 250, 250, 250, 250, 500, 750, 750, 1000, 1000, 1250, 1750

The median of the data set is the middle term of the ordered data set. The order of the data set maybe ascending or descending order

There are 28 terms in the data set the middle terms will be 14th and 15th

Both 4th and 15 terms are 0

Therefore, the median is 0

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Answer:

1. I believe some solutions could be x= -7, x= -8, x= -9 etc.

Step-by-step explanation:

2. If the inequality was -3x is greater than or equal to 18 then x and also be equal to x=6.

The change that happened from the first half of the equation to the second half was you moved the 9 and the 4c around.

Commutative property of addition allows you to do that. It's what says that 2+3 is the same thing as 3+2

Hope this helps you

Answer: An argument is a value passed to a function. A parameter variable is a variable local to the function which receives the argument.

Step-by-step explanation:

The term "argument" refers to the values that are specified inside a function when the function is invoked. The variables that are defined when the function is declared, however, are referred to as parameters.

What is Function?

A relation between a collection of inputs and outputs is known as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function.

The term "argument" refers to the values that are specified inside a function when the function is invoked. The variables that are defined when the function is declared, however, are referred to as parameters.

argument:

These are employed in function call statements in order to transfer value from the calling function to the receiving function.

Also called as Actual Parameters, they are.

Each argument is always assigned to the parameter specified in the function specification during the call.

Parameter:

These are utilised in the called function's function header to obtain the value from the parameters.

When a function is called, arguments are passed as values to local variables known as parameters.

Formal Parameters is another name for them.

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The height of the tree is approximately 24.6 feet to the nearest tenth. We can use the trigonometric ratios to find the height of the tree. Since the angle of elevation of the tree from the eyes of the person standing is given, the trigonometric ratio we use here is tangent.

Given data: Mike is standing 20 feet away from a large oak tree. The angle of elevation from his eyes, which is 5 feet above the ground, to the top of the tree is 57°.

Since we need to find the height of the tree, let us assume the height of the tree as 'h'. Also, since Mike's eyes are 5 feet above the ground, the distance between the person and the ground is 5 feet.

Therefore, the distance between the person and the base of the tree is 20 feet - 5 feet = 15 feet.Now, we have the opposite and adjacent sides with us. So, we can use the tangent function.tan 57° = h/15h = 15 tan 57°h ≈ 24.6.

Therefore, the height of the tree is approximately 24.6 feet to the nearest tenth.

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