what is -2y + 10 +2y -8 simpilified?​

f(x) = 9x² + 7x

g(x) = 2 - x

= 5g(x) - f(x)

= 5(2-x) - (9x² + 7x)

= 10 - 5x - 9x² - 7x

= 10 - 12x - 9x²

= 10 - 12x - 9x²= 9x² - 12x + 10.

D is the correct option.

Its better to choose the simple random samples, if the defect is in every other cake, a systematic random sample could miss it completely depending on what Sergio chooses for k.

Here he is  taking a random sample of cakes to get a better idea of how many cakes might have this defect.

The random sample is defined as the method of choose a sample from the group of sample and each of the sample has same probability of being chosen

The systematic sample is the method of choosing the sample from the group of sample with a periodic interval.

Here Sergio noticed a potential defect that seems to be showing in every other cake, so there will be chance of missing the defect completely

Hence, to choose the defect items, the simple random sample is better than systematic random sample.

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Answer:

(-3,-5)

Step-by-step explanation:

subtract y1 from y2 and you get -5. Now subtract x1 from x2 and you get -3. Now put the x value first and then the y value.

Answer:

Step-by-step explanation:

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(10,\:10\right),\\\:\left(x_2,\:y_2\right)=\left(7,\:5\right)\\\\m=\frac{5-10}{7-10}\\\\Simplify\\\\m = \frac{-5}{-3} \\\\m=\frac{5}{3}\)

The method of critical regions is an alternative approach to hypothesis testing, used to validate a claim. This method is based on comparing the observed sample statistic to one or more critical values, predetermined by the desired significance level, that determine the rejection or acceptance of the null hypothesis.

To use this method, the researcher first establishes the critical regions, typically denoted by critical values or cutoff points. A decision to reject or fail to reject the null hypothesis is then made by comparing the observed statistic to the critical values. If the observed value is beyond one or more of the critical values, the null hypothesis is rejected. If the observed statistic falls within the critical regions, the null hypothesis is accepted.

The critical region method is sometimes used instead of the p-value method when the probability of a Type II error is more important than the probability of a Type I error. Additionally, this method can be used to compare multiple population means, whereas the p-value method is limited to comparing one population mean. Therefore, the critical region method can be used in addition to or instead of the p-value method, depending on the researcher's desired result.

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Two rays with a common endpoint form an angle. An angle is defined as a geometric figure formed by two rays that share a common endpoint. In other words, an angle is formed when two rays emanating from a common point, and this common point is known as the vertex.

The rays are the sides of the angle, and the angle is measured in degrees. Angles have different measures, ranging from 0 degrees to 360 degrees. The two rays that make up an angle are also called the sides or arms of the angle. The angle is measured in degrees, and the size of the angle depends on the distance between the two sides of the angle that meet at the vertex.

In geometry, an angle can be named in different ways, depending on the context in which it is being used. Angles are essential in mathematics, physics, and other scientific fields, where they are used to measure the rotation of an object, determine the direction of an object, and in other applications involving rays and lines. Two rays with a common endpoint form an angle.

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Answer:

1

Step-by-step explanation:

x-1+ 1 /5*( x-1)=0

(x-1)*6/5=0

x=1

The data described, the number of televisions in different households, is discrete.

discrete data consists of individual values that can be counted and are distinct from one another. In this case, the number of televisions is a discrete variable because it can only take on whole numbers, such as 0, 1, 2, 3, and so on. You cannot have a fractional or continuous number of televisions. Each household will have a specific count of televisions, and there is no intermediate value between each whole number. Additionally, the number of televisions is distinct for each household, meaning that it can differ from one household to another.

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Answer:I think you can say like the most bought music in class B is alternative and the lowest one is classical and so on

Step-by-step explanation:

The value of x from the given equation is -10.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Step 1: 2x-6+7-3x=11 (Distributive property)

Step 2: 2x-3x-6+7=11 (Commutative property of addition)

Step 3:-x+1=11 (Write equivalent expression)

Step 4: -x=10 (Addition property of equality)

Step 5: x=-10 (Multiplication property of equality)

Therefore, the value of x is -10.

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The homogeneous system of linear equations has a solution space with a basis of {(1, 2, -1)}. The dimension of the solution space is 1.

To find a basis for the solution space of the given homogeneous system of linear equations, we need to solve the system and express the solutions in terms of a linear combination of vectors.

The system of equations is as follows:

Equation 1: -x + y - z = 0

Equation 2: 2x - y = 0

Equation 3: 2x - 3y - 4z = 0

We can start by using the equations to eliminate variables. From Equation 2, we can express y in terms of x as y = 2x. Substituting this into Equation 1 gives us -x + 2x - z = 0, which simplifies to x - z = 0. Rearranging this equation, we have x = z.

Now, we can express the variables in terms of a single parameter. Let's choose z as the parameter. Thus, x = z and y = 2x = 2z.

Now, we can express the solutions in vector form as (x, y, z) = (z, 2z, z) = z(1, 2, 1). This means that the solution space is spanned by the vector (1, 2, 1).

To find the basis for the solution space, we need to check if the vector (1, 2, 1) is linearly independent. Since it is the only vector spanning the solution space, it is linearly independent. Therefore, the basis for the solution space is {(1, 2, 1)}.

The dimension of the solution space is equal to the number of vectors in the basis, which in this case is 1. Therefore, the dimension of the solution space is 1.

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Answer:

they are alternate exterior angles (i pretty sure)

Step-by-step explanation:

Answer:

In its broadest sense, no-fault insurance is any type of insurance contract under which the insured party is indemnified by their own insurance company for losses, regardless of the source of the cause of loss. In this sense, it is no different from first-party coverage.

Step-by-step explanation:

Answer: The other number is 100.

Step-by-step explanation:

The least common multiple (LCM) of two numbers is 200

The greatest common denominator (GCD) is 4.

One of the numbers is 8, which is the other number?

Ok:

First, we can write 8 as: 2*2*2 = 2^3 = 2*4

Now, the minimal common denominator can be any number that is written in the form

x = 4*a*b..

where a, b etc are prime numbers.

We also know that

LCD(a,b) = a*b/GCD(a,b)

LCD(8,x) = 8*x/GCD(8, x)

200 = 8*x/4

x = 200*4/8 = 100

the other number is 100.

If a classroom has 8 light bulbs and the probability that each individual light bulb works is 0.8 and each light bulb works independently of the other light bulbs then the probability that all 8 of the light bulbs work is equal to 0.1678.

Probability is a branch of mathematics and can be defined as the one which deals with the explanation of the possibility of an event to occur or take place. Probability has a range between 0 to 1. In probability, 0 indicates the impossibility of an event to occur and 1 indicates the certainty of that event to occur or take place.

As the light bulbs are not dependent on each other and work independently, the probability that all eight of the light bulbs will work can be calculated by multiplying the probability of each of the eight light bulbs.

As the probability of each of the eight light bulbs to work = 0.8

probability all the eight light bulbs work = 0.8^8

probability all the eight light bulbs work = 0.1678

Hence, 0.1678 is the probability that all the light bulbs work.

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\(\huge\longmapsto\sf \mathfrak{Answer : }\)

Area of trapezoid :

\( \boxed{ \frac{1}{2} \times (a + b) \times h}\)

where,

so,

\( \longmapsto{ \dfrac{1}{2} \times (6 + 8) \times 4}\)

\( \longmapsto{2 \times 14}\)

\( \longmapsto{28}\)

hence, Area = 28 unit²

The angle marked x in the regular hexagon is 120 degrees, and in the regular pentagon is 108 degrees.

The angle marked x in the regular hexagon is 120 degrees, because the sum of all the angles in a hexagon is 720 degrees (360 x 2). Each of the angles in a regular hexagon is 120 degrees, so the angle marked x must also be 120 degrees. The angle marked x in the regular pentagon is 108 degrees, because the sum of all the angles in a pentagon is 540 degrees (360 x 1.5). Each of the angles in a regular pentagon is 108 degrees, so the angle marked x must also be 108 degrees.

Regular Hexagon:

Sum of angles = 720 degrees

Number of angles = 6

Angle x = 720 ÷ 6 = 120 degrees

Regular Pentagon:

Sum of angles = 540 degrees

Number of angles = 5

Angle x = 540 ÷ 5 = 108 degrees

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please ask for more help if needed

They would spend approximately 13.33 hours driving if they plan to cover a total distance of 800 miles at an average speed of 60mph.

To answer this question, we need to use the formula: time = distance/speed. In this case, the distance is 800 miles and the average speed is 60mph. Therefore, the time spent driving can be calculated as:
Time = 800 miles / 60 mph
Simplifying this equation, we get:
Time = 13.33 hours
So, the total time that they would spend driving is 13.33 hours. It's important to note that this is the average time it would take them if they maintained a constant speed of 60mph throughout their journey. However, if they encountered traffic, roadworks, or took any breaks during their trip, the actual time spent driving would be longer than this.
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Explanation

The question wants us to determine the domain of the function graphed

The domain of a function is the set of all possible inputs for the function

From the graph, we can observe that the x-values span from negative infinity to positive infinity

Thus

Thus

The domain is All Real Numbers

Answer as a mixed number =  1   1/8  mph

Answer as a decimal = 1.125 mph

Work Shown:

(3/4) of a mile : (2/3) of an hour

12*(3/4) of a mile : 12*(2/3) of an hour

9 miles : 8 hours

9/8 miles : 8/8 hours

1.125 miles : 1 hour

His speed is 1.125 miles per hour. This converts to the mixed number 1 1/8

Answer:

Df(1/5,+∞) or x>1/5 step by step

Answer:

$840 for a dozen

Step-by-step explanation:

Find out the cost for one book. Then multiply that number by 12 (dozen).

Answer:

840

Step-by-step explanation:

490 ÷ 7 = 70

70 x 12 = 840

Answer:

1 1/7

Step-by-step explanation:

If you make  1 3/4 into a mixed number it is 7/4.

Then if you divide 2/1 (when you turn a whole number into a fraction you put the whole number over a 1)  by 7/4 you multiply by reciprocal which is 4/7 and 2/1 times /7 equals 1 1/7.

Could I please have BRAINLIEST.

Answer:

4 people caught the bus

Step-by-step explanation:

Answer:

y = 460(3^x) or f(x) = 460(3^x)

Step-by-step explanation:

If you take a closer look at the number of bacteria, you'll see it multiplies by 3

Time (hrs)   Number of bacteria

0                  460

1                   1380 or 460 x 3

2                  4140 or 1380 x 3 or 460 x 3 x 3 or 460 x 3^2

3                  12420 or 4140 x 3 or 460 x 3^3

so the number of bacteria is y while the time is x

then y = 460(3^x)

or f(x) = 460(3^x)

If you substitute x with the time, you'll have the number of bacteria

Answer:

8.277

Step-by-step explanation:

Pretty simple, just add up the values but convert the word form into decimals.

\(6+2.2+0.033+0.044=8.277\)

Also, your question said 33 thousandths, so it is what I answered.

Answer:

8.277

Step-by-step explanation:

Answer:

105 grams

Step-by-step explanation:

385/11=35

35 times 3 is 105 grams

Answer:

35 grams

Step-by-step explanation:

3/11= x/385

11x= 385

x= 385/11

= 35 grams

There are 13,992 integers between 1 and 1,000,000 with a sum of digits equal to 15.

To find the number of integers between 1 and 1,000,000 with a sum of digits equal to 15, we can use a combinatorial approach.

We need to distribute the sum of 15 among the digits of the number. We can think of this as placing 15 indistinguishable balls into 6 distinct boxes (corresponding to the digits).

Using the stars and bars method, the number of ways to distribute the sum of 15 among 6 boxes is given by the combination formula:

C(n + r - 1, r - 1)

where n is the sum (15) and r is the number of boxes (6).

Plugging in the values, we have:

C(15 + 6 - 1, 6 - 1) = C(20, 5)

Calculating this combination, we find:

C(20, 5) = 13,992

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Among the given answer choices, the closest option is "5.6", but the correct answer based on the calculation of population growth rate is approximately 5.054%.

To calculate the population growth rate, we need to consider the net change in population relative to the initial population.

The net change in population is calculated by subtracting the number of emigrants and deaths from the total number of immigrants and births:

Net Change = Immigrants + Births - Emigrants - Deaths

Net Change = 44600 + 35000 - 12567 - 15890

Net Change = 66143 - 28457

Net Change = 37686

Next, we can calculate the population growth rate using the formula:

Rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.

Population Growth Rate = (Net Change / Initial Population) * 100

Population Growth Rate = (37686 / 744785) * 100

Population Growth Rate ≈ 5.054%

The population growth rate of this country is approximately 5.054%.

Among the given answer choices, the closest option is "5.6", but the correct answer based on the calculation is approximately 5.054%.

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12.566

Hope this helped :T