i really need to understand this help

The missing measures in △STU could be 28 degree.

WE have been Given △PQR ~ △STU,

WE need to find the missing measures in △STU.

For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,

we have, by law of sines,

[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}[/tex]

Remember that we took

[tex]\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}[/tex]

[tex]\dfrac{sin\angle Q}{21} = \dfrac{sin\angle T}{6}[/tex]

[tex]\dfrac{sin\angle 64}{21} = \dfrac{sin\angle T}{6} \\\\\dfrac{0.920}{21} = \dfrac{sin\angle T}{6} \\\\{sin\angle T} = \dfrac{0.920 \times 6}{21}[/tex]

Sin angle T = 0.2628

△STU = 28 degree.

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Answer:

12800 meters.

Hope that helps!!!

You travel 9600 meters after completing 8 laps on a 1 2/10 kilometers long go-kart track.

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

The length of the go-kart track is 1 2/10 kilometers, which can be converted to meters as follows:

1 kilometer = 1000 meters

2/10 kilometer = 2/10 x 1000 = 200 meters

So, the length of the go-kart track in meters is:

1 2/10 kilometers = 1 x 1000 + 2/10 x 1000 = 1200 meters

To find the total distance you travel after completing 8 laps, you need to multiply the length of the track by the number of laps:

Total distance = 8 x 1200 meters = 9600 meters

Therefore, you travel 9600 meters after completing 8 laps on a 1 2/10 kilometers long go-kart track.

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x = -3 and x = 2???

shouldn't it be x = -3 and x = 2?

In observational studies, the variable of interest option (a) is not controlled

In observational studies, the variable of interest refers to the data that is being collected and analyzed. It is a specific factor or phenomenon that researchers are looking to gain insight from.

The variable of interest is not controlled by the researcher, meaning that the researcher does not influence the data or manipulate the results in any way; rather the researcher simply observes the data and the phenomenon. The variable of interest could be numerical or non-numerical.

If the interest is in the correlation between gender and academic performance, then this is a non-numerical variable, as gender is not a numerical value.

However, if the interest is in the correlation between hours spent studying and grade point average, then this is a numerical variable, as grade point average is a numerical value.

Therefore, option (a) is the right choice.

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The equation for the total cost of using a computer for t minutes at the internet cafe is C = 0.80t + 3

The cost of using a computer at the internet cafe can be represented by a linear equation, where C is the total cost and t is the number of minutes used. The equation can be written as C = 0.80t + 3, where 0.80 is the cost per minute and 3 is the initial charge.

To make a table of values, we can plug in different values of t into the equation and solve for C
 
   Number of Minutes (t)  Total Cost to Use Computer (C)
            0                            C = 0.80(0) + 3 = 3
            1                             C = 0.80(1) + 3 = 3.80
           2                             C = 0.80(2) + 3 = 4.60
           3                             C = 0.80(3) + 3 = 5.40
 
So the equation for the total cost of using a computer for t minutes at the internet cafe is C = 0.80t + 3.

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The probability that all 8 project team members are computer science graduates is approximately 0.100

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
Since 75% of the employees in the department are computer science graduates, the probability that a randomly selected employee is a computer science graduate is 0.75. We want to find the probability that all 8 employees on the project team are computer science graduates. Assuming that the employees are chosen randomly, we can model the situation as a binomial distribution with n = 8 and p = 0.75.

Using the binomial probability formula, the probability that all 8 employees on the project team are computer science graduates is:

P(X = 8) = (8C8) * (0.75)⁸ * (1 - 0.75)⁸⁻⁸

= 1 * 0.1001 * 1

= 0.1001

Therefore, the probability that all 8 project team members are computer science graduates is approximately 0.100, to three decimal places.

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Answer: 7 minutes

Step-by-step explanation:

There is 1 minute every 60 seconds

So if we divide the amount of seconds by 60 we will get the answer.

Therefore our equation is:  420/60

420/60=7

SO the answer is 7 minutes

Hope this helps! :)

The true and false statements are

True, False, False, True, True, True

From the question, we have the following parameters that can be used in our computation:

The graph

The maximum from the graph is

y = 4

The graph has real zeros because it crosses the x-axis

Also, it is true that the graph increases from negative infinity to x = -1 and it it true that the y-intercept is 3 (because it intersects the y-axis at this pont)

The vertices are (-1, 4)

Lastly, the function is above 0 at the interval (-3, 1)

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Answer:  A

Step-by-step explanation:

Benny's Pizza

13.60 + 2.50(3)

13.60 + 7.50

21.10

Ricco's Pizza

14.60 + 2(3)

14.60 + 6

21.60

A glass case is in the shape of a rectangular prism where the volume of the case is 4/125 cubic foot. The number of cubic blocks with a side length of 1/5 foot required to find the volume of glass case is option C: 4.

What is the rectangular prism?

A rectangular prism, also known as a rectangular parallelepiped, is a three-dimensional solid shape that has six faces, where each face is a rectangle.

The volume of the glass case is 4/125 cubic foot. We can write this as:

V = l × w × h = 4/125

where l, w, and h are the length, width, and height of the rectangular prism, respectively.

To find how many cubic blocks with a side length of 1/5 foot would be required to find the volume of the glass case, we need to find the number of cubic blocks that can fit in the rectangular prism. Since the side length of each block is 1/5 foot, the volume of each block is (1/5)^3 = 1/125 cubic foot.

Therefore, the number of cubic blocks required is:

number of blocks = V / volume of one block

number of blocks = (4/125) / (1/125)

number of blocks = 4

So, we would need 4 cubic blocks with a side length of 1/5 foot to find the volume of the glass case.

Hence, the answer is 4.

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Answer:

1000 litros x 1000000 ml/litro = 1 000 000 000 mililitros

Answer:

Para encontrar la ecuación de la línea L que pasa por el punto (-2, 4) y es paralela a la línea 3x - 2y = 6, primero debemos encontrar la pendiente de la línea 3x - 2y = 6.

La forma estándar de la ecuación de una línea es y = mx + b, donde m es la pendiente y b es la intersección en y. Podemos reescribir la ecuación 3x - 2y = 6 en esta forma:

3x - 2y = 6

-2 años

Por lo tanto, la pendiente de la línea 3x - 2y = 6 es 3/2.

Dado que la línea L es paralela a esta línea, también tiene una pendiente de 3/2. Ente

y - y1 = m(x - x1)

donde m es la pendiente y (x1, y1) es un punto en la línea. Nos

y - 4 = (3/2)(x - (-2))

Simplificando esta ecuación, obtenemos:

y - 4 = (3/2)x + 3

y = (3/2)x + 7

Por lo tanto, la ecuación de la línea L que pasa por el punto (-2, 4) y es paralela a la línea 3x - 2y = 6 es y = (3/2)x + 7.

Step-by-step explanation:

espero te sirva, traducelo si no puedes español.

The median of a sample will always equal the 50th percentile.

The median of sample data is the middle value when the data is arranged in order from lowest to highest. In other words, it is the value that separates the lower 50% of the data from the upper 50%.

The median is often used as a measure of central tendency in a dataset because it is not affected by extreme values or outliers in the way that the mean is. If the sample size is odd, the median is simply the middle value, If the sample size is even, the median is the average of the two middle values.

The median is also known as the second quartile and the 50th percentile. As a result, the median of a sample will always equal the 50th percentile.

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If the base, b, is 6 inches, and the area, A, is 18 square inches, then the height, h, of the triangle is 6 inches.

Triangle is a three-sided geometric shape which has three angles and three sides. The three sides of a triangle are typically referred to as the base, the height, and the hypotenuse. A triangle can be classified as either right, obtuse, or acute depending on the measure of its angles. Right triangles have one right angle, obtuse triangles have one obtuse angle, and acute triangles have three acute angles.


The area of a right triangle can be found by using the formula A=1/2bh, where b is the base of the triangle and h is the height. In this example, the base, b, is 6 inches. To find the height, h, we can solve the equation for h: h = 2A/b, where A is the area of the triangle.

Therefore, if we know the area of the triangle, A, we can find the height, h, of the triangle by plugging in the values and solving for h. For example, if the area of the triangle is 18 square inches, then h = 2(18)/6 = 6 inches.

The area of a right triangle can be found by using the formula A=1/2bh and plugging in the known values of b and h. In this example, if the base, b, is 6 inches, and the area, A, is 18 square inches, then the height, h, of the triangle is 6 inches.

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Manny can make 4 bookmarks from 1/2 yard of fabric, each bookmark is made of 1/8 yard of fabric.

Manny has 1/2 yard of fabric, and each bookmark requires 1/8 of a yard of fabric. To find out how many bookmarks Manny can make, we need to divide the total amount of fabric by the amount of fabric used per bookmark:

1/2 ÷ 1/8

To divide by a fraction, we can flip the second fraction (the divisor) and multiply:

1/2 × 8/1

Multiplying the numerators and denominators gives:

(1 × 8) / (2 × 1) = 8/2

Simplifying the fraction by dividing both the numerator and denominator by the greatest common factor of 8 and 2, which is 2:

(8/2) ÷ (2/2) = 4/1

Therefore, Manny can make 4 bookmarks from 1/2 yard of fabric. This problem involves basic arithmetic operations such as division and multiplication of fractions. To solve it, we can flip the second fraction (1/8) and multiply it with the first fraction (1/2). This gives us the total number of bookmarks that can be made with the given amount of fabric. We then simplify the resulting fraction by dividing the numerator and denominator by their greatest common factor.

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A 15-ounce bottle of the same medicine contains 90 doses.

The unitary method is a method used to solve problems related to proportionality. It involves finding the value of a single unit or the value of a given quantity when the value of one or more units is known.

In the given problem, we will find the number of doses in 1 unit from that will find the number of doses in a 15-ounce bottle.

Here we have

A 6-ounce bottle of medicine contains 36 doses.

Number of doses in a 1-ounce bottle

= 36/6 = 6 doses  

Then the number of doses in a 15-ounce bottle of medicine  

= 15 × Number of doses in 1 ounce

= 15 × 6

= 90

Therefore,

A 15-ounce bottle of the same medicine contains 90 doses.

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Slope of the given graph is 2.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Let us take two points to find the slope of line.

The two points are (4, 1) and (6,5)

m=5-1/6-4

m=4/2

m=2

Hence, slope of the given graph is 2.

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Two ways an individual can improve his or her credit score is,

Pay bills on time and Ask for higher credit limits

Three-digit credit scores are used to determine how risky it would be for a lender to give credit to a certain individual.

Ask to be added as an authorized user if a family member or acquaintance has a credit card account with a large credit limit and a solid track record of on-time payments.

The credit limit on the account can help your utilization because it is added to your credit reports.

If you make late payments, no credit improvement plan will work.

Even worse, missed payments may appear on your credit records for up to 7 1/2 years.

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Answer:

[tex]x=12[/tex], PM = 27, OM = 54

Step-by-step explanation:

To find x, we can notice that MP is similar to OP. Therefore, we can create an equation:

[tex]2x+3=4x-21[/tex]

[tex]2x-4x=-21-3[/tex]

[tex]-2x=-24[/tex]

[tex]x=12[/tex]

To solve for PM, we can plug in x from [tex]2x+3[/tex]:

[tex]2(12)+3[/tex]

= 27

To solve for OM, we will need to add OP and PM values and plug in x:

[tex]4x-21+2x+3[/tex]

Plug in x:

[tex]4(12)-21+2(12)+3[/tex]

= 54

Parameters in statistics is a number that describes a sample, whereas a parameter is a number that describes the entire population (such as the population mean) (e.g., sample mean).

A population in research is the complete group that you are interested in examining. This can refer to a group of individuals (such as all US adults or all employees of a corporation), but it can also refer to a group that includes other kinds of elements, such as things, occasions, organisations, nations, species, and organisms.

A sample is a subset of the entire population. The group of components you actually use to gather data is called a sample.

Each quantifiable attribute of a sample or population can be summarised using statistics and parameters.

The most typical statistic or parameter for categorical variables (such political affiliation) is a proportion.

The mean or standard deviation are frequently reported statistics or parameters for numerical variables (such as height).

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Answer:

x+y=17

y can be 1,3,5,7 or 9

Let's start at 9

x+9=17

x=8

So the burner is 89

7, 5, 3 and 1 don't work

For example In order x+7=17, x should be 10, which is a contradiction; x is the one-digit number. If 7 doesn't work, lower numbers shouldn't work as well.

Step-by-step explanation:

Answer: B. 240

Step-by-step explanation: Hi there here is why your answer is this:

Area =  b × h

=  12 × 20

=  240 feet2

Hope this helps you!

P(x) = -2x² + 130x - 2000 when x is the price of each game to make the game profitable, the price should be at least $ 25 and no more than $ 40.

Quadratic equations are polynomial equations of degree 2 in one variable of the form f(x) = ax2 + bx + c = 0, where a, b, c, R, and a 0 are all zeros. It is the generic form of a quadratic equation in which 'a' is referred to as the leading coefficient and 'c' is referred to as the absolute term of f. (x). The roots of the quadratic equation (,) are the values of x that fulfil the quadratic equation.

There will always be two roots to the quadratic equation. Roots might be real or fictitious in nature.

p(x) = -2x² + 130x - 2000

The game will be profitable if P (x) > 0.

-2x² + 130x - 2000 > 0

-x² + 65x - 1000 > 0

x² - 65x + 1000 > 0

x(x-25) - 40(x -25) > 0

x>25 x < 40.

Therefore, price should be at least $ 25 and no more than $ 40.

The values of variables that satisfy the given quadratic equation are referred to as its roots. In other words, if f() = 0, x = is a root of the quadratic equation f(x).

The x-coordinates of the sites where the curve y = f(x) intersects the x-axis are the real roots of an equation f(x) = 0.

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Answer: 0.75

Step-by-step explanation: .

Option A. Never. A correlation coefficient is a measure of the strength and direction of the linear relationship between two variables.

However, a strong correlation between two variables does not necessarily mean that one causes the other. This is because there may be other factors, known as confounding variables, that affect both variables simultaneously. Therefore, it is not appropriate to use a correlation coefficient to establish a causal relationship between two variables. In order to establish causality, more rigorous methods such as randomized controlled trials must be used, which attempt to isolate the effect of one variable on another while holding other factors constant.

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The diameter of the circle is 30 units, and the equation is:

(x + 3)^2 + (y - 3)^2 = 15^2

We know that the diameter of the circle is defined by the points (12, 3) and (-18,3)

Notice that the y-value is the same one in both points, then the diameter is the difference between the x-values:

d = 12 - (-18) = 30

The diameter is 30 units.

Then the radius, half the diameter, is 15 units.

To write the circle equation we need to find the center.

Because of the points (12, 3) and (-18,3) we know that the y-value of the center must be y = 3.

And the x-value is the midpoint between x = -18 and x = 12, that is:

x = (-18 + 12)/2 = -6/2 = -3

The center is at (-3, 3)

Remember that the equation for a circle of center (a, b) and radius R is:

(x - a)^2 + (y - b)^2 = R^2

Here the center is (-3, 3) and the radius is 15, so the equation is:

(x + 3)^2 + (y - 3)^2 = 15^2

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The image is an enlargement of the pre-image |s| > 1. The image is a reduction of the pre-image 0 < |s| < 1. The image is the same as the pre-image rotated 180 s = 1.

We double the length of each of the original shape's sides by a quantity known as a scale factor to enlarge a given shape. The shape will become smaller or larger depending on the scale factor, which can range from 0 to 1. If the scale factor is greater than 1, the shape will become larger. The image, for instance, displays a dilation with a scale factor of two.

The image is an enlargement of the pre-image |s| > 1.

The image is a reduction of the pre-image 0 < |s| < 1.

The image is the same as the pre-image rotated 180 s = 1.

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Stratified Sampling separates the population into nonoverlapping groups. By using specific criteria to split the population, we may use this strategy to draw a proportional random sample from each division.

The population is divided into non-overlapping groups or strata, and a proportional simple random sample is taken from each stratum to create a stratified sample. Each group's members ought to have some things in common. We must choose the number of people to choose from each stratum after the strata have been established. Here, the proportionality of the chosen number is crucial. In order to make the characteristic of interest more homogeneous inside a stratum than between strata, strata are based on information other than the characteristic being measured that is known to or thought to fluctuate with the characteristic of interest. Hence, strata can be defined based on any property that explains variation in the characteristic of interest.

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As k(-x) = -k(x), the function k is indeed an odd function. By switching the words in f, we can observe that f(-x) Equals f(x) (x). Hence, f is an even function.

A collection of inputs or one output for each input are referred to as a "function" in this sentence. Simply described, a function is a connection between inputs where each input is connected to exactly one output. Each function has a domain, codomain, or range.

1.The function k is an odd function.

A function is odd if f(-x) = -f(x) for all x. In the case of function k, we have:

k(-x) = 2 - 1(-x) = 1 + 2x

k(x) = 2 - 1(x) = 1 + 2x

Therefore, k(-x) = -k(x), and the function is odd.

2.The function f is an even function.

A function is even if f(-x) = f(x) for all x. In the case of function f, we have:

f(-x) = 3^(-x) + 3^x

f(x) = 3^x + 3^(-x)

We can see that f(-x) = f(x) by swapping the terms in f(x). Therefore, f is an even function.

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