8 grades, help please!!!

Answer:

The transformation f(x)↦f(-x) , the graph of f(x) reflects it across the y-axis

Step-by-step explanation:

Answer:

(5x-7)(5x+7)

Step-by-step explanation:

[tex]25x^2-49\\=(5x)^2-(7)^2\\=(5x-7)(5x+7)[/tex]

Remember that the difference of squares formula is [tex]a^2-b^2=(a-b)(a+b)[/tex].

Answer:

(5x-7) x (5x+7)

Step-by-step explanation:

25x^2- 49

5^2 x 2^2 - 49

5^2 x 2^2 -7^2

(5x)^2 -7^2

(5x-7) x (5x+7)

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{3p + 5(2q + p) + 3p - 6q}\\\mathsf{= 3p + 5(2q) + 5(p) + 3p - 6q}}\\\mathsf{= 3p + 10q + 5p + 3p - 6q}\\\large\textbf{COMBINE the LIKE TERMS}\\\mathsf{= (3p + 5p + 3p) + (10q - 6q)}\\\mathsf{= 3p + 5p + 3p \bold{+} 10q - 6q}\\\mathsf{= 8p + 3p + 4q}\\\mathsf{= 11p + 4q}\\\\\\\huge\text{Therefore, your answer should be:}\\\huge\boxed{\mathsf{11p + 4q}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

139.2 cm² is the surface area, in cm², of the figure.

The surface area of a three dimensional shape is the total area of all of the faces. The surface area of a solid object is a measure of the total area that the surface of the object occupies.

here, we have,

The surface area of given figure = 3×Area of rectangle + 2×area of triangle base.

so, we get,

Surface area = 3×6×6+2×15.6

Surface area = 139.2 cm²

Hence, 139.2 cm² is the surface area, in cm², of the figure.

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The largest side of the given triangle is; AB

Let us first find the missing angles of triangle ABC.

The sum of two opposite interior angles is equal to an exterior angle.

Thus;

∠CBA = 104 - 99

∠CBA = 5°

Sum of angles in a straight line is 180°. Thus;

∠CAB = 180 - 104

∠CAB = 76°

The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.

Thus, AB is opposite 99° and as such will be the largest side.

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The mean of p , g and r is given by the equation M = 12

The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

Mean = Sum of Values / Number of Values

Given data ,

Let the mean of p , g and r be represented as M

Now , the mean of p and g = 13

So , ( p + g ) / 2 = 13

On simplifying the equation , we get

p + g = 26   be equation (1)

And , the mean of g and r = 16

So , ( g + r ) / 2 = 16

On simplifying the equation , we get

g + r = 32   be equation (2)

And , the mean of r and p = 7

So , ( r + p ) / 2 = 7

On simplifying the equation , we get

r + p = 14   be equation (3)

Adding equation (1) , (2) and (3) , we get

2 ( p + g + r ) = 26 + 32 + 14

And , divide both sides of the equation by 2 , we get

p + g + r = 72/2 = 36

Now , the mean of p , g and r is

M = ( p + g + r ) / 3

On simplifying the equation , we get

M = 36/3

M = 12

Hence , the mean is M = 12

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Answer:

The unit rate for Scented candles is 1/2(or 4/8) inches per hour.

The unit rate for unscented candles is 1/3(or 3/9) inches per hour

The scented candles burn more/faster per hour.

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

scented rate = 1/8 inch / 1/4 hr = 1/8 * 4/1 = 4/8 = 1/2 inch per hour

unscented rate 1/9 in / 1/3 hr  = 1/3 inch per hour    

scented burns more per hour because   1/2 > 1/3 in

Edited....I had the candles backwards

The statement that is true about the number of hours of daylight is: "the number of hours of daylight varies depending on the latitude of the observer."

Hence, option (a) is the correct choice.

Day length will be roughly 12 hours at latitude 0° (the Equator). The Equator region has a steady 12 hour day light all year.

Day duration can be observed to extend to 24 hours or reduce to zero if latitude increases to 80° (polar circles - north or south) (depending on time of year).

The quantity of daylight received by an observer is determined by their latitude and the season.

The number of hours of daylight changes the greatest near the equator, whereas it varies the least towards higher latitudes.

The number of daylight hours covers the hours between dawn and twilight as well as the hours from sunrise to sunset.

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The surface area of the figure for the given condition is 391.2 cm²

The pentahedron Triangular Prism contains nine different nets. The bases' vertices and edges are connected by means of their three rectangular sides. The rectangular sides of the triangular prism are joined to one another side by side.

Given the triangular prism,

which consist of two triangles and  3 rectangles,

the surface area of the figure is the sum of the area of  triangles and  3 rectangles,

given sides of triangle is 6cm x 6cm x 6cm

area of equilateral triangle = √3/4(a²)

area of equilateral triangle = 6²*(√3/4)

area of equilateral triangle = 15.6 cm²

and dimensions of the rectangle is 6cm x 20 cm

area of rectangle = l x b

area of rectangle = 6*20

area of rectangle = 120 cm²

area of shape = 2(area of triangle) + 3(area of rectangle)

area of shape = 2*15.6 + 3*120

area of shape = 31.2 + 360

area of shape = 391.2 cm²

Hence the area is 391.2 cm².

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The statement " data analytics often use samples rather than the full population of transactions." is False. So, option b is correct.

Option "a)" explains how data analytics can be used to test internal controls that are designed to prevent or detect fraud. These controls include processes and procedures that are put in place to ensure the accuracy and reliability of financial information and to detect any irregularities that may indicate fraud.

Option "c)" highlights how data analytics can detect small frauds before they become material. This is because data analytics can identify unusual patterns of behavior that may be indicative of fraud, even if the amounts involved are relatively small.

Option "d)" is incorrect because it states that all of the above options are ways data analytics are useful for detecting fraud. This is not entirely accurate because option "b" states that data analytics often use samples rather than the full population of transactions, which is not necessarily a beneficial aspect for detecting fraud.

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The solution is The perimeter of the sector is :30.5 cm

A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference. Calculating the perimeter has several practical applications.

here, we have,

Mathematically, we have the area of the sector as;

e/360 * pi * r^2

r is 8 cm

so we have

58 = e/360 * pi * 8^2

58/64 * 360/pi = e

e = 103.85

To get the perimeter,

we have length of the arc plus 2r

Length of the arc is;

e/360 * 2 * pi * r

add 2 r;

e/360 * 2 * pi * r + 2r

so we have

103.85/360 * 2 * pi * 8 + 2(8)

= 14.5 + 16

= 30.5 cm

Hence, The solution is The perimeter of the sector is :30.5 cm

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a) The cost of an apple 50p.

b) The cost of an apricot is 43p

The cost of something depends on a variety of factors, including the quality of the product, the quantity desired, the availability of the item, the location of the purchase, and the method of payment. For example, a computer may cost more if purchased at a retail store than it would cost if purchased online. Additionally, the cost of a product can vary depending on the brand, features, and other factors. For example, a laptop may be more expensive if it has a faster processor than one with a slower processor. In general, the cost of a product or service will also depend on the demand for it, as well as the amount of competition in the marketplace. Ultimately, the cost of something is determined by the value the customer places on it.

Cost of 6 apples = £3

Cost of 1 apple = £3/6 = 50p

b) The cost of an apricot is calculated as follows:

Cost of 7 apricots = £3

Cost of 1 apricot = £3/7 = 43p

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The coordinates of the orthocenter of AFGH are approximately (1.9, 2.2).

The orthocenter of triangle AFGH can be found by the intersection of the altitudes from vertices A, B, and C. The equations of the altitudes from vertices F and H can be found by finding the slopes of the lines and plugging in the x and y coordinates of the vertices.

The equation of the altitude from vertex G can then be found by finding the slope perpendicular to the first two lines and plugging in the x and y coordinates of vertex G. The point of intersection of these three lines is the orthocenter of triangle AFGH.

The coordinates of the orthocenter of AFGH are approximately (1.9, 2.2).

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Answer:

4$ for one hotdog

Step-by-step explanation:

60/15 =

4.

One hotdog equal 4$

brainliest?

The rate of one hot dog is $4.

We are given that there are 15 hot dogs which cost $60.We have to calculate the amount of rate for one hot dog.

By the unitary method,

Amount of rate for one hot dog = is $60/15=$4

Hence one hot dog cost $4.

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Answer: 101/20, 5 1/11, 5.57, 5.576

Step-by-step explanation: Standardized all:

101/20 = 5.090909

5 1/11 = 5.05

5.57

5.576

By SSS congruent theorem, triangle DEF is congruent to triangle FGD.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

In triangle DEF and triangle FGD;

⇒ DE ≈ FG

⇒ EF ≈ GD

Now, In In triangle DEF and triangle FGD;

⇒ DF is a common side

⇒ DF ≈ DF

Hence, By SSS congruent theorem, triangle DEF is congruent to triangle FGD.

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Answer:

164.53125%

Step-by-step explanation:

105.3 is 164.53100% of 64

Answer:

Step-by-step explanation:

we solve with a proportion

105.3 : 64 = x : 100

x = 105.3 × 100 ÷ 64

x = 164.53125%

The main impact of increasing the standard deviation from 3.1 to 5.8 leads to a wider confidence interval, from (9.38, 10.62) to (8.88, 11.12).

This is because the standard deviation is a measure of the spread of the data, and the wider the spread, the wider the confidence interval will be. Mathematically, this can be shown by the following calculation:

The confidence interval is usually given by the formula:

where x is the mean of the sample, z is the z-score representing the confidence level, sigma is the standard deviation, and n is the sample size.

In this case, let's assume that x = 10, z = 1.96 (95% confidence interval), and n = 10. Then, when the standard deviation is 3.1, the confidence interval is 10 +/- (1.96*3.1/sqrt(10)) = 10 +/- 0.62, or (9.38, 10.62).

However, when the standard deviation is increased to 5.8, the confidence interval becomes 10 +/- (1.96*5.8/sqrt(10)) = 10 +/- 1.12, or (8.88, 11.12).

Therefore, increasing the standard deviation from 3.1 to 5.8 leads to a wider confidence interval, from (9.38, 10.62) to (8.88, 11.12).

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Answer:

[tex]\huge\boxed{\sf Price\ of\ carbon\ filter = \$11.75}[/tex]

Step-by-step explanation:

Given that,

3 water pumps = $26.25

Using unitary method

3/3 water pumps = $26.25/3

From the question,

The price of 1 water pump and one carbon filter equal $20.50.

So,

Price of carbon filter = $20.50 - Price of 1 water pump

Price of carbon filter = $20.50 - $8.75

[tex]\rule[225]{225}{2}[/tex]

In correlational and experimental study designs, a key requirement for a sample is that population whom the researchers are investigation

A sample is a portion of a larger population that is selected to represent the entire group. In both correlational and experimental study designs, a key requirement for a sample is that it should be representative of the population it is meant to represent.

In a correlational study design, the goal is to examine the relationship between two or more variables. The sample must be representative of the population to ensure that the correlation calculated from the sample is representative of the correlation that exists in the population.

If the sample is not representative, the correlation calculated from the sample may be different from the correlation that exists in the population, leading to incorrect conclusions.

In an experimental study design, the goal is to test a causal relationship between two or more variables.

The sample must be representative of the population to ensure that the results of the experiment are generalizable to the population.

If the sample is not representative, the results of the experiment may not be generalizable to the population, leading to incorrect conclusions.

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The required probability for the given table are as follow :

a. Probability of someone from US = 0.5089

b. Probability of someone has at least 2 children = 0.4196

c. Probability of someone from US and has one child = 0.125.

Total number of children is equal to 112

Probability = Favourable outcome / ( total number of outcome )

a. Number of children representing someone from US = 57

Probability of someone from US = 57 / 112

                                                      = 0.5089

b. Favourable outcome representing someone has at least 2 children is

= P (2) + P(3)

= ( 18 + 11 )/ 112 + (8 + 10 )/ 112

= (29 + 18) / 112

= 47/112

= 0.4196

c. From US and has one child :

Favourable outcome = 14

Probability of someone from US and has one child

= 14 / 112

= 0.125

Therefore, the probability of the different conditions are :

a. Probability from US = 0.5089

b. Probability of at least 2 children = 0.4196

c. Probability from US and one child = 0.125

The above question is incomplete, the complete question is:

For the table given below answer the following question:

Children         :   0                  1            2           3 or more            Total

From US         :  17                 14         18               8                         57

Outside US     : 15                  19         11               10                        55

Total                :  32                33         28              18                       112

a. What is the probability that someone is from the US?

b. what is the probability that someone has at least 2 children?

c. what is the probability that someone is from the US and has one child?

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The solution to the algebraic expression (2x-3)(6x-5) after you combine your like terms is 12x² - 28x + 15

(2x-3)(6x-5)

open parenthesis

12x² - 10x - 18x + 15

collect like terms

12x² - 28x + 15

Hence, 12x² - 28x + 15 is the solution to the algebraic expression (2x-3)(6x-5)

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I have to flip the coin 16 times to say that I am 95% confident the coin is unfair.

This question can be answered using the binomial distribution. If we assume the coin is fair, then each flip of the coin has a 50% chance of coming up heads. We can use the binomial distribution to calculate the probability of getting heads at least 95% of the time.

For this calculation, we need to know the number of trials, n. We can use the formula: n = (1.96^2)/(p(1-p)) to calculate n for a 95% confidence level. In this case, p = 0.5, so n = 15.84. Since this is not a whole number, we can round up to 16 flips.

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The number of beetles at time [tex]x[/tex] can be expressed using the equation [tex]B = 800 (1.05)^{x}[/tex]

In mathematics, an equation is a statement that two numbers or values are equal, as in 6 x 4 = 12 x 2. When two or more components of a situation must be taken into account in order to comprehend or describe the entire situation, this is known as an equation. By definition, your example is an equation since an equation is any expression that contains the equals sign. The employment of equal signs by mathematicians makes equations a common occurrence in mathematical work. A set of guidelines for producing a specific outcome is known as a formula. A mathematical expression, such as 6x4=12x2, that states that two amounts or values are equal is known as an equation. In an equation, two or more components must be taken into account simultaneously.

[tex]x =[/tex] number of months that have passed.

[tex]N=800x^{0.05t}[/tex]

[tex]1.05 = 1 + .05[/tex], where [tex].05[/tex] is the monthly growth rate

An equation is [tex]B = 800 (1.05)^{x}[/tex].

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Volume of sphere is 288π mm³.

Volume is defined as a capacity occupied by a three-dimensional solid shape. In any shape, it is hard to visualize but can be compared between shapes.

Given,

Radius of sphere r = 6 mm

Volume of sphere

= (4/3)πr³

= (4/3)π×6³

= (4/3)π×6×6×6

= 4π×2×6×6

= 288π mm³

Hence, 288π mm³ is volume of sphere.

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Answer:

x=5

y=5

Step-by-step explanation:

y-2=3

3x-2y=5

Let's solve for y in the first equation.

y-2=3

Add 2 to both sides,

y=5

Let's substitute y=5 into the other equation.

3x-2y=5

3x-2*5=5

3x-10=5

Add 10 to both sides,

3x=15

Divide by 5 to both sides,

x=5

Therefore, x and y both equal 5.

The different sides of the showcase are comparable in that the two of them have a greater part of perceptions in the scope of 5 to 9 MPa.

The different sides of the showcase seem to have comparable dispersion designs, with most of perceptions falling inside the 5 to 9 MPa range. This proposes that there might be some hidden element that is making the qualities on the two sides be packed here, conceivably a typical estimation or handling technique.

Nonetheless, without additional data about the information and what it addresses, it is challenging to say for specific what may be driving this likeness. In any case, the comparative conveyance examples of the two arrangements of information are significant and investigating further.

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Number of triangles are 24.

A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.

What is the area of the triangle?

The area of the triangle is defined as the product of half the base and the height of the triangle.

The area of the triangle = 1/2 x b x h

Given;

Five line segments are drawn in a triangle as shown

Now, to find the total number of triangles we will number each of the enclosed section in the triangle horizontally.

Line segment 1= 1 2 3

Line segment 2= 1 2 3

Line segment 3= 1 2 3

Line segment 4= 1 2 3

by addition

=6+6+6+6

=24

Therefore, the total triangles in figure will be 24.

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