(-2, 3) is parallel to y = -x + 5

The actual distance represented by 23.7 cm on the map is 355.5 km.

To find the ratio of the amount of money Mabaso has to the amount of money Thabo has and the amount of money Ally has, we can divide each amount by the smallest amount (which is R35) to simplify the ratio.

Mabaso has R140, Thabo has R70, and Ally has R35.

The ratio of Mabaso's money to Thabo's money is:

R140 ÷ R35 = 4

The ratio of Mabaso's money to Ally's money is:

R140 ÷ R35 = 4

Therefore, the ratio of the amount of money Mabaso has to the amount of money Thabo has and to the amount of money Ally has is 4:1:1.

To calculate the percentage discount of a steel table, we need to find the difference between the original price and the discounted price, and then divide it by the original price. Finally, we multiply the result by 100 to get the percentage.

Original price: R750

Discounted price: R600

Discount: R750 - R600 = R150

Percentage discount: (R150 ÷ R750) × 100 = 20%

So, the table has a 20% discount on Black Friday.

To convert 125 grams to kilograms, we divide the amount in grams by 1,000 (since there are 1,000 grams in a kilogram).

125 g ÷ 1,000 = 0.125 kg

Therefore, 125 grams is equal to 0.125 kilograms.

If a green grocer packs 12 apples in a plastic bag and has 285 apples, we divide the total number of apples by the number of apples per bag to determine the number of bags needed.

Number of bags needed: 285 apples ÷ 12 apples/bag = 23.75 bags

Since we can't have a fraction of a bag, we round up to the nearest whole number. Therefore, the green grocer would need 24 bags.

If the scale of a map is 1,500,000 and the measurement on the map is 23.7 cm, we can use the scale to determine the actual distance.

1 cm on the map represents 1,500,000 cm in reality.

23.7 cm on the map represents x cm in reality.

x = 23.7 cm × 1,500,000 cm = 35,550,000 cm

To convert cm to km, we divide by 100,000 (since there are 100,000 cm in a kilometer).

35,550,000 cm ÷ 100,000 = 355.5 km

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Answer: 2, 11

Step-by-step explanation:

\(y = x^2 - 13x + 22\)     --- Original equation

\(0 = x^2 - 13x + 22\)      --- Set to 0 to solve for x

\(0 = (x-11)(x-2)\)    --- Factor!

∴ \(x = 11, / x = 2\)        --- Find answers.

The instantaneous rate of change at x = 2 is equal to the derivative, which is 2.

The derivative of f(x) = 2x - 5 with respect to x can be found by applying the power rule of differentiation, which states that the derivative of x^n is n*x^(n-1).

Taking the derivative of f(x) = 2x - 5:

f'(x) = 2 * (d/dx)(x) - (d/dx)(5)

= 2 * 1 - 0

= 2.

The derivative of f(x) with respect to x is a constant, 2, indicating that the function has a constant slope.

Therefore, the instantaneous rate of change at x = 2 is equal to the derivative, which is 2.

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Answer: B.

Step-by-step explanation: SIN = Opposite/Hypotenuse   COS = Adjacent/Hypotenuse, and TAN = Opposite/Adjacent  or SIN/COS.

Kiet will make his another observation at every multiples of 6 until it reaches at 60 which is at 2 : 00 pm.

Given that,

Kiet needs to observe a science experiment every 6 minutes for one hour.

He makes his first observation at 1:00 p.m.

Now he needs to make the observation every 6 minutes.

This means that his second observation will be at 1:06 pm.

Third observation will be at 1:12 pm.

Fourth will be at 1:18 pm.

It goes on like this for every multiples of 6.

His last observation will be at 2:00 pm which is at the 60th minute after 1.

Hence Kiet will make his observations at every multiples of 6 until it reaches 60.

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Answer:

80° because 50° 60° 70° and 80°

The graph of the rational equation is solved and f ( x ) = 1/ ( x + 2 ) ( x - 5 )

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = 1/ ( x + 2 ) ( x - 5 )

The function will have increasingly large values as the denominator approaches zero. When x -2, the denominator is positive and the function tends to the upside. When x -2 x 5, the function is negative. When x 5, the function becomes positive once more.

Hence , the rational function is f ( x ) = 1/ ( x + 2 ) ( x - 5 )

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The complete question is attached below :

Which of the following rational functions is graphed below?

A. F(x) =(x-2)/(x+5)

B. F(x) =1/(x-2)(x + 5)

C. F(x) =1/(2x + 5)

D. F(x)= 1/(x+2)(x-5)

Answer:

B:  -2

Step-by-step explanation:

14-4/-4-1 = 10/-5 or -2

Answer:

-2...................

Answer:

Time with 4.2MB/S speed = 7314.3 seconds

Time with 900 KB/S speed = 34952.5 seconds

Step-by-step explanation:

Given that:

Internet download speed = 4.2 MB/S

File to download = 30 GB

1 GB = 1024 MB

30 GB = 30*1024 = 30720 MBS

Time required = \(\frac{30720}{4.2}\)

Time required = 7314.3 seconds

With 900 KB/S

1 MB = 1024 KB

30720 MB = 30720 * 1024 = 31457280 KBS

Time = \(\frac{31457280}{900}=34952.5\ seconds\)

Hence,

Time with 4.2MB/S speed = 7314.3 seconds

Time with 900 KB/S speed = 34952.5 seconds

Answer:

Time with 4.2MB/S speed = 7314.3 seconds

Time with 900 KB/S speed = 34952.5 seconds

Step-by-step explanation:

Given that:

Internet download speed = 4.2 MB/S

File to download = 30 GB

1 GB = 1024 MB

30 GB = 30*1024 = 30720 MBS

Time required =

Time required = 7314.3 seconds

With 900 KB/S

1 MB = 1024 KB

30720 MB = 30720 * 1024 = 31457280 KBS

Time =

Hence,

Time with 4.2MB/S speed = 7314.3 seconds

Time with 900 KB/S speed = 34952.5 seconds

Answer:

Here

Step-by-step explanation:

The volume of a rectangular prism is found by multiplying the length, width, and height.

Volume = Length x Width x Height

Volume = 11 ft x 8 ft x 4 ft

Volume = 352 cubic feet

The surface area of a rectangular prism is found by adding up the areas of all six faces.

Surface area = 2lw + 2lh + 2wh

Surface area = (2 x 11 ft x 8 ft) + (2 x 11 ft x 4 ft) + (2 x 8 ft x 4 ft)

Surface area = 176 + 88 + 64

Surface area = 328 square feet

Therefore, the volume of the rectangular prism is 352 cubic feet and the surface area is 328 square feet.

Answer:  perimeter is 14 units

Explanation:

You could use the distance formula to find the lengths of segments AB, BC, CD, and DA; or you could graph rectangle ABCD and note that you can count out the spaces to find the lengths of each side. Option 2 is easier in my opinion. Check out the diagram below. The horizontal portion is 2 units and the vertical part is 5

perimeter = 2*(length+width)

perimeter = 2*(5+2)

perimeter = 2*7

perimeter = 14

Answer:

Option B

Step-by-step explanation:

Option D can be eliminated to start off with since the angles are different from the original triangle

Options C and A can be eliminated since they have different side lengths

This leaves us with B

It should be noted that one third times the difference of thirty and a variable is three fourths will be D. one third times y minus 30 equals three fourths

It should be noted that an expression simply shows that relationship between the numbers and the variables that are explained.

In this case, it should be noted that one third times the difference of thirty and a variable is three fourths will be one third times y minus 30 equals three fourths

Therefore, the appropriate explanation that first the information illustrated is D.

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Answer:

The guy above me is correct its D :)

Step-by-step explanation:

please don't delete this again :)

have a goody day

ma'am or sir  

\(\sf 2^{-6}\)

these two options apply

\(\rightarrow \sf \dfrac{1}{2^6}\)

\(\rightarrow \sf 2^{-2} \ * \ 2^4 \ * \ 2^{-8}\)

in decimals : 0.015625

Answer:

Option C and D

Step-by-step explanation:

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

Example:

If the given exponent is a⁻ᵇ, then the result will be 1/aᵇ.

This exponent includes a negative sign. To make the exponent positive, take the exponent's reciprocal and change the negative sign to a positive sign. The same will be done to the given expression.

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

First, take the exponent's reciprocal as said above.

⇒ \(2^{-6}\)

⇒ \(\frac{1}{2^{-6} }\)

Now, change the exponent's sign.

⇒ \(\frac{1}{2^{-6} }\)

⇒ \(\frac{1}{2^{6} }\)

Now, simplify the term.

⇒ \(\frac{1}{2^{6} }\)

⇒ \(\frac{1}{2 \times 2 \times 2 \times 2 \times 2 \times 2} }\)

⇒ \(\frac{1}{8 \times 8}\)

⇒ \(\frac{1}{64}\)

Using the simplified result we obtained, let's verify all the options to see which is equivalent to the term.

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

A)------------------------------------------------------------------------------------------------------

Keep in mind that the exponent is the number of times the base needs to multiply itself.

\(-2^{6} \rightarrow -2 \times -2 \times -2 \times -2 \times -2 \times -2\)

NOTE: If there are even number of "-", then the result should be positive. If there are odd number of "-", then the result should be negative.

\(-2 \times -2 \times -2 \times -2 \times -2 \times -2\)

⇒ \(2 \times 2 \times 2 \times 2 \times 2 \times 2\)

⇒ \(64\)

\(-2^{6} = 64 \neq \frac{1}{64}\)

B)------------------------------------------------------------------------------------------------------

Since -64 is already a simplified term, we can compare this with the simplified result.

\(-64 \neq \frac{1}{64}\)

C)------------------------------------------------------------------------------------------------------

\(\frac{1}{2^{6}}\)

⇒ \(\frac{1}{2 \times 2 \times 2 \times 2 \times 2 \times 2 }\)

⇒ \(\frac{1}{8 \times 8 }\)

⇒ \(\frac{1}{64}\)

\(\frac{1}{2^{6} } = \frac{1}{64} = \frac{1}{64}\)

D)------------------------------------------------------------------------------------------------------

\(2^{-2} \times 2^{4} \times 2^{-8}\)

⇒ \(\frac{1}{2^{2}} } \times 16 \times \frac{1}{2^{8} }\)

⇒ \(\frac{1}{4} \times 16 \times \frac{1}{256}\)

⇒ \(\frac{1}{4} \times 1 \times \frac{1}{16}\)                                                                               [16² = 256]

⇒ \(\frac{1}{4} \times \frac{1}{16}\)

⇒ \(\frac{1}{64}\)

\(2^{-2} \times 2^{4} \times 2^{-8} = \frac{1}{64} = \frac{1}{64}\)

E)------------------------------------------------------------------------------------------------------

\(2^{3} \times 2^{-2}\)

⇒ \(2^{3 - 2}\)

⇒ \(2^{1} = 2\)

\(2^{3} \times 2^{-2} = 2 \neq \frac{1}{64}\)

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

Answer:

a reflection over the x axis and moved 3 squares to the left

Step-by-step explanation:

C) There is sufficient evidence to reject the claim i ¼- 486.(correct option)

Hypothesis=A hypothesis is a proposed explanation for a phenomenon. For a hypothesis to be a scientific hypothesis, the scientific method requires that one can test it. Scientists generally base scientific hypotheses on previous observations that cannot satisfactorily be explained with the available scientific theories .A hypothesis  in a scientific context, is a testable statement about the relationship between two or more variables.

for that given problem we want to test that

There sufficient evidence to reject the Claim that  i¼-486.

Option C is correct

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Total number of ways to choose 1 girl and 1 boy from a group of 5 and 3 girls is, 15

We have to given that;

From a group of 5 and 3 girls , A boy and A girl will be selected to attend a conference.

Now, We know that;

Number of ways to choose 1 boy in group of 5 boys,

⇒ ⁵C₁

And, Number of ways to choose 1 girl from group of 3 girls,

⇒ ³C₁

Hence, Total number of ways to choose 1 girl and 1 boy from a group of 5 and 3 girls is,

⇒ ⁵C₁ x ³C₁

⇒ 5! /1! 4! × 3! / 1! 2!

⇒ 5 × 3

⇒ 15

Thus,  Total number of ways to choose 1 girl and 1 boy from a group of 5 and 3 girls is, 15

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Answer:

Step-by-step explanation:

calculator???? srry

Answer:

Step-by-step explanation:

\(-3(2x + 1) = 2 (-3x -1)\\\\\mathrm{Expand\:}-3\left(2x+1\right):\quad -6x-3\\\\\mathrm{Expand\:}2\left(-3x-1\right):\quad -6x-2\\\\-6x-3=-6x-2\\\\\mathrm{Add\:}3\mathrm{\:to\:both\:sides}\\\\-6x-3+3=-6x-2+3\\\\Simplify\\\\-6x=-6x+1\\\\\mathrm{Add\:}6x\mathrm{\:to\:both\:sides}\\\\-6x+6x=-6x+1+6x\\\\Simplify\\\\0=1\\\\No \:solution\\\\\mathrm{The\:sides\:are\:not\:equal}\)

The correct statement is;

False,  because x = \(cos^-^1({\frac{-1}{2} )\) is in the interval \(( -\frac{\pi }{2} , \frac{\pi }{2} )\) that is, \(cos^-^1({\frac{-1}{2} )\) = \(\frac{2\pi }{3}\). So all solutions of cos x = -1/2 will be  x = 2π/3 + 2nx and x = 4π/3 + 2nx.

Option D

From the information given, we have that;

All solutions are cos x = -1/2 are given by x = 4x/2 + 2πx

There are multiple solutions to the equation cos x = -1/2, and they are denoted by the values x = 2π/3 + 2nx and x = 4π/3 + 2nx

Such that n is an integer.

This is so because the cosine function repeats itself every 2π, or its period. We therefore multiply the general answer by multiples of 2 to obtain all solutions.

The formula x = 4x/2 + 2πx implies that each solution can be reached by x being multiplied by 4/2 and 2πx being added.

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Answer:

60

Step-by-step explanation:

If 36 is the result of reducing the number by 40% then 36 is 60% of the number you can then division by 0.6 to get 60. 60. 100–40=60

The expression should be added by 18 so the expression will be equivalent to the 2(9x+10).

Given that,

The expression is 7x+3+8x+3x+8-9.

We have to equivalent the given expression to the 2(9x+10).

Take the expression,

7x+3+8x+3x+8-9

Write in order the variable terms first and next constant.

7x+8x+3x+3+8-9

Now, Adding the variable terms

18x+3+8-9

Now, Adding or subtracting the constant.

18x+2 ----->equation(1)

Take this as equation (1)

Now take the another expression.

2(9x+10)

18x+20----->equation(2)

Take this as equation (2)

The equation(1) is not equal to equation (2)

If we add 18 to the equation (1) we get equation (2)

18x+2+18

18+20

Therefore, The expression should be added by 18 so the expression will be equivalent to the 2(9x+10).

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There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.

To determine the total number of color-wheel size combinations for the kickboard scooter, we need to multiply the number of color options by the number of wheel size options.

Given that there are 4 color options (silver, red, blue, and purple) and 2 wheel size options (125mm and 180mm), we can use the multiplication principle to find the total number of combinations:

Total combinations = Number of color options × Number of wheel size options

Total combinations = 4 colors × 2 wheel sizes

Total combinations = 8

There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.

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The value that will be in the blank would be = 165

The percentage that will like to run that prefer summer = 60%

On the given table, the total amount of individuals in each column should be the same.

Therefore, for the bike column = 231 + 87 = 318

Therefore the number of people that will like to home and also prefer the winter weather would be = 318-153 = 165.

To find the percentage that will like to run that prefers summer, the following is carried out;

The number of people that will like to run = 231

The number of people that will like to bike = 153

Total = 153+231 = 384

Therefore percent = 231/384×100/1

= 23100/384

= 60%

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Answer:

96.25%

Step-by-step explanation:

The empirical rule regarding mean and standard deviation is that

Therefore between mean and +2 standard deviation or between mean and -2 standard deviation you will find  approximately 95/2 = 47.5% of the values

Between mean and ± 3 standard deviations you will find approximately 97.5/2 = 48.75% of the values

Therefore between 2 standard deviations above and 3 standard deviations below you will find approximately 47.5 + 48.75 = 96.25% of values

Answer:

dashed lines are used for both < and >, solid lines are used for >= or <=

Step-by-step explanation: