I need help for the Wednesday one

Answer: 5.6 kilograms.

Step-by-step explanation:

We know that 1,000 paperclips have a mass of 1 kilogram.

Therefore, one paperclip has a mass of 1/1000 kilograms, or 0.001 kilograms.

To find out how many kilograms 5,600 paperclips have, we can multiply the mass of one paperclip (0.001 kilograms) by the number of paperclips:

0.001 kilograms/paperclip * 5,600 paperclips = 5.6 kilograms

Therefore, 5,600 paperclips have a mass of 5.6 kilograms.

Answer:

1 of the boxes have neither in them

Step-by-step explanation:

The solution is ( A ∪ B )' = 0.3

The number of boxes which contain neither pens or pencils is 3

What is Set Theory Formula?

The set formula is given in general as n(A∪B) = n(A) + n(B) - n(A⋂B), where A and B are two sets and n(A∪B) shows the number of elements present in either A or B and n(A⋂B) shows the number of elements present in both A and B.

Given data ,

Let the number of boxes which contain neither pens or pencils be = C

Now , the equation is given as

The total number of boxes = 10

The number of boxes which contain pencils P ( A ) = 6/10

The number of boxes which contain pens P ( B ) = 3/10

Now ,

The number of boxes which contain both pens and pencils = P ( A ∩ B )

P ( A ∩ B ) = 2/10

Now , from the set theory formula , we get

n(A∪B) = n(A) + n(B) - n(A⋂B)

Substituting the values in the equation , we get

P ( A ∪ B ) = P ( A ) + P ( B ) - P ( A ∩ B )

P ( A ∪ B ) = 6/10 + 3/10 - 2/10

P ( A ∪ B ) = 7/10

Now , number of boxes which contain neither pens or pencils = P ( A ∪ B )'

P ( A ∪ B )' = 1 - P ( A ∪ B )

Substituting the values in the equation , we get

P ( A ∪ B )' = 1 - P ( A ∪ B )

P ( A ∪ B )' = 1 - 7/10

P ( A ∪ B )' = 3/10

Therefore , the value of C is 3 boxes

Hence , The number of boxes which contain neither pens or pencils is 3

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Answer:

80

Step-by-step explanation:

Just average the two numbers to get (70+90)/2 = 160/2 = 80

Answer:

Step-by-step explanation:

To find the midpoint between two numbers, you add them together and divide the sum by 2.

In this case, the midpoint between 70 and 90 would be:

(70 + 90) / 2 = 160 / 2 = 80.

Therefore, the midpoint between 70 and 90 is 80.

The coordinates of the fourth vertex of the parallelogram S are (2, -1)

In a parallelogram, opposite sides are parallel and equal in length, so the vector that represents one side can be added to one vertex to find the next vertex.

Given vertices P and Q, the vector PQ can be represented as (Q - P) = (-2 - 3, 3 - 4) = (-5, -1).

So, to find the fourth vertex S, we can add the vector PQ to vertex R:

S = R + PQ = (-3, -2) - (-5, -1) = (2, -1)

Therefore, the coordinates of vertex S are (2, -1).

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Actual time is much longer than the 50-year timeframe suggested by the speaker.

How to verify the statement?

This claim is based on the assumption that the rate of pollution reduction from each factory remains constant at 80%, and the number of factories increases by 3% per annum.

To verify this claim, we can use the following formula to calculate the expected total pollution after n years:

Total pollution after n years = \(Present \: pollution \: level x (1 + 0.03)^n \times (1 - 0.8)^n\)

Here, the first factor represents the increase in pollution due to the growth in the number of factories, and the second factor represents the reduction in pollution due to the 80% reduction in pollution from each factory.

We can set the expected total pollution after n years equal to the present pollution level and solve for n:

\(Present \: pollution \: level = Present \: pollution \: level \times (1 + 0.03)^n \times (1 - 0.8)^n\)

Simplifying this equation, we get:

\(1 = 1.03^n \times 0.2^n\)

Taking the logarithm of both sides of the equation, we get,

\(n \times log(1.03) + n \times log(0.2) = 0 \\ n \times (log(1.03) + log(0.2)) = 0 \\ n = \frac{0} { (log(1.03) + log(0.2))} \\ n = 271.56\)

Therefore, according to this calculation, it would take approximately 272 years for the total annual pollution to return to its present level if the number of factories in the country increases by 3% per annum, and they all immediately reduce the amount of pollution they produce by 80%. This is much longer than the 50-year timeframe suggested by the speaker.

It is important to note that this calculation assumes that the pollution reduction from each factory remains constant at 80% and does not take into account any other factors that may affect pollution levels, such as changes in technology or regulations. Therefore, this should be considered as a rough estimate and not as an exact prediction.

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Correct question is "A speaker claimed that if the number of factories in the country increases by 3% per annum, then even if they all immediately reduced the amount of pollution they produce by 80%, the total annual pollution will be back to its present level in about 50 years. Verify the statement. (use logarithm)"

The surface area of the triangular prism would be =324,000cm²

To calculate the surface area of the triangular prism the formula that should be given would be as follows:

Surface area of triangular prism;

Surface area of triangular prism;= bh+(b1+b2+b3)l

where:

base length = 20cm

height = 15cm

length = 18cm

SA = 20×15(20+15+25)×18

= 300×60×18

= 324,000cm²

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Answer:

Divide by 2.54

Step-by-step explanation:

Because a centimeter is smaller than an inch, you have to divide by 2.54 when converting from cm to inches.

The length of AC is 12.5 and the length of AD is 3.

A triangle is a three-sided polygon because it has three edges and three vertices. The most important attribute of a triangle is the sum of its internal angles to 180 degrees

Given triangle ABC,

and D is a point on AB and E is a point on AC,

and forms a triangle ADE,

and  DE is parallel to AC,

taking ΔABC and ΔBDE

∠B = ∠B  (common angle)

because DE is parallel to AC, so corresponding angles are equal,

so ∠A = ∠D

and ∠C = ∠E

ΔABC ≈ ΔBDE (triangles are similar)

since both triangles are similar the ratio of their corresponding sides is equal,

AB/BD = AC/DE = BC/BE

given BD = 2, BE = 4, DE = 5 and EC = 6

BC = EC + BE = 4 + 6

BC = 10

AC/DE = BC/BE

AC = 5(10/4)

AC = 12.5

and AB/BD = BC/BE

AB = 2(10/4)

AB = 5

AD = AB - BD

AD = 5 - 2

AD = 3

Hence AC = 12.5 and AD = 3.

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The figure is in image.

Answer:

76

Step-by-step explanation:

Answer: 3/8

Step-by-step explanation: 3/8 is bigger than 0.3.

Answer:

>

Step-by-step explanation:

because when 3/8 is converted to decimal, it is 0.37

Answer:

It would be 36 cm^2.

Step-by-step explanation:

I used the top rectangle that was 9 cm and subtracted the 3cm from the bottom right long rectangle. Since it equals 6cm, the area of the unshaded square is 36 cm^2. (Area of a square is side x side)

Answer:

we can write

42/7 as 30/7

and

21/5 as 11/5

now

\( \frac{30}{7} \times \frac{11}{5} \\ = \frac{6}{7} \times 11 \\ = \frac{66}{7} \)

we can write 66/7 as 93/7

hence,

option D is correct.

hope this answer helps you dear....take care!

The value of x is 33.2

Similar triangles are triangles that have the same shape, but their sizes may vary. The corresponding angles of similar triangles are congruent or equal.

Also the ratio of corresponding sides of similar triangles are equal.

Therefore;

Triangle EHG and EFG are similar

39/36 = 36/x

36 × 36 = 39x

39x = 1296

divide both sides by 39

x = 1296/39

x = 33.2

Therefore the value of x is 33.2

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Answer:

¿que? no tiene sentido

Answer:

d

Step-by-step explanation:

As you can tell by the graphs the relative minimum is -14 since that is where the curve ends and -3 is the maximum due to the top curve being at -3

Answer:

d)  relative minimum = −14, relative maximum = −3

Step-by-step explanation:

The relative minimum and maximum values are the minimum and maximum y-values of the points in the domain of the function.

From inspection of the given graph, the minimum y-value in the interval [1, 5] is -14 and the maximum y-value in the interval [1, 5] is -3.

Therefore:

Option b - 4 seconds is the time the pebble takes to hit the water.

To determine when the pebble hits the water, we need to find the value of t when the height function, h(t), equals zero.

h(t) =

\(-0.25t^2 + 2t + 5 = 0\)

We can solve for t using the quadratic formula:

\(t = (-b ±(b^2 - 4ac)) / 2a\)

where a = -0.25, b = 2, and c = 5.

\(t = (-2 ± (4 + 5)) / (-0.5)\)

t = (-2 ± 3) / (-0.5)

The two possible values for t are:

t = 1/2 or t = -5

Since time cannot be negative, we discard the negative solution. Therefore, the pebble hits the water after 1/2 second.

Therefore, the answer is: 3 seconds is not the correct option, 4 seconds is the correct answer.

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Answer:

-0.33333333333 in other word it o.3 with line over 3

Step-by-step explanation:

There is no point that is NOT included in the graph of the step function.

The coat check service charges $2 for the first hour and $1 for each additional hour or fraction of an hour.

To determine the point that is NOT included in the graph of the step function, we need to consider the charging scheme and analyze the pattern of charges.

The step function can be represented as follows:

For the first hour, the charge is a flat rate of $2.

For each additional hour or fraction of an hour, the charge is $1.

Let's analyze the points included in the graph:

(1, 2): This point represents the charge for the first hour, which is $2.

Now, let's consider the additional hours:

2. (2, 3): This point represents the charge for 2 hours, which is $2 for the first hour and $1 for the additional hour.

(3, 4): This point represents the charge for 3 hours, which is $2 for the first hour and $2 for the additional 2 hours.

(4, 5): This point represents the charge for 4 hours, which is $2 for the first hour and $3 for the additional 3 hours.

Based on the charging scheme, we can observe a pattern where the charge increases by $1 for each additional hour or fraction of an hour.

Since the charging scheme allows for any additional hour or fraction of an hour, there is no specific point that is excluded from the graph. Any positive value of x greater than or equal to 1 will have a corresponding point on the graph.

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Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{ - 8 {x}^{2} + 10x - 3}}}}}\)

Option B is correct.

Step-by-step explanation:

\( \sf{(4x - 3)( - 2x + 1)}\)

Use the distributive property to multiply each term of the first binomial by each term of the second binomial

\( \dashrightarrow{ \sf{4x( - 2x + 1) - 3( - 2x + 1)}}\)

\( \dashrightarrow{ \sf{ - 8 {x}^{2} + 4x + 6x - 3}}\)

Add like terms: 4x and 6x

\( \dashrightarrow{ \sf{ - 8 {x}^{2} + 10x - 3}}\)

Hope I helped!

Best regards! :D

A function that represents a reflection of \(f(x) = \frac{3}{8} (4)^x\) across the y-axis include the following: D. \(g(x) = \frac{3}{8} (4)^{-x}\).

In Mathematics and Geometry, a reflection over or across the y-axis or line x = 0 is represented and modeled by this transformation rule (x, y) → (-x, y).

This ultimately implies that, a reflection over or across the y-axis or line x = 0 would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

By applying a reflection over the y-axis to the parent exponential function, we would have the following transformed exponential function:

(x, y)                                              →                 (-x, y).

\(f(x) = \frac{3}{8} (4)^x\)                               →              \(g(x) = \frac{3}{8} (4)^{-x}\)

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Answer:

(x) ∠CAB

Step-by-step explanation:

In ΔCOD and ΔBOA

\(\frac{OA}{OB} = \frac{OD}{OC} \\\\\implies \frac{OC}{OB} = \frac{OD}{OA}\)

Also,

∠COD = ∠BOA (vertically opposite angles)

⇒ ΔCOD and ΔBOA are similar

⇒ ∠CDO = ∠BAO

⇒ ∠CDB = ∠BAC

⇒ ∠CDB = ∠CAB

To graph the inequality k > 5 on a number line, mark an open circle at 5 and shade the region to the right.

To graph the solutions to the inequality k > 5 on a number line, follow these steps:

Draw a horizontal line and mark a point for the number 5 on the line.

-------------------|---|---|---|---|---|---|---|---|---|---|

0 1 2 3 4 5 6 7 8 9 10

Since the inequality is k > 5, the solution includes all values greater than 5. Therefore, draw an open circle (○) at the number 5 to represent that 5 itself is not included in the solution.

-------------------|---|---|---|---○---|---|---|---|---|---|

0 1 2 3 4 5 6 7 8 9 10

Shade the region to the right of the open circle. This shading represents all values that are greater than 5 and satisfy the inequality k > 5.

-------------------|---|---|---|---○===================>

0 1 2 3 4 5 6 7 8 9 10

The resulting number line graph illustrates that any value to the right of the open circle (excluding 5 itself) satisfies the inequality k > 5.

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This method can be used to quickly obtain the product of two polynomials.A-6k²+25k²-16k-15.

Expression in math is a combination of numbers, symbols and operators that represent a mathematical quantity or operation. It can be a single number, a single variable, or a combination of numbers, variables and symbols combined together to form a mathematical statement. An expression can also include functions, such as polynomials, exponential functions, or logarithmic functions.


The vertical method involves writing the terms of the two factors side by side and multiplying them together to get the product.

(3k+5)  (2k²-5k-3)

6k³  +   0k²  +   0k   +  -15
0k³  +  10k²  + -15k   +   0
0k³  +   5k²   + -15k   +   0
0k³ +   0k²  +  15k   +   0

Adding the terms in each column yields the product:

A-6k³+25k²-16k-15

Therefore, the correct answer is A-6k³+25k²-16k-15.

In conclusion, using the vertical method can simplify algebraic multiplication problems by breaking them down into columns and adding the terms in each column. This method can be used to quickly obtain the product of two polynomials.

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By the concept of function, the value of g(x) obtained is

g(x) = 3f(x) is the required function

What is a function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

Here, from the graph, it can be seen that

g(1) = 3 and g(-1) = 3

Let g(x) = \(kx^2\)

g(1) = 3

\(k(1)^2 = 3\\k = 3\)

So g(x) = \(3x^2\) = 3f(x) is the required function

Option B is correct

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Complete Question

If f(x) = x², which equation represents function g?

A. g(x)=1/3f(x)

B. g(x)=3f(x)

C. g(x)=f(1/3x)

D. g(x)=f(3x)

The diagram has been attached here

Answer:

A. h(x) = 6x2 – 10x – 4

Step-by-step explanation:

Got 100% on edge.

The value of h(x) is h(x) = 6x^2 -10x + 4

The functions are given as:

f(x) = 2x - 4

g(x) = 3x + 1

So, we have:

h(x) = f(x)g(x)

This gives

h(x) = (2x - 4) * (3x+ 1)

Evaluate

h(x) = 6x^2 + 2x - 12x - 4

This gives

h(x) = 6x^2 -10x + 4

Hence, the value of h(x) is h(x) = 6x^2 -10x + 4

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Answer:

No

Explanation:

Given two arrays: 2 x 4 and 3 x 4

Combining these two arrays will give:

A combination will give a (5 x 4) array as shown above.

Therefore, Fred cannot separate a (4 x 4) array into a 2 X4 array and a 3 X 4 array.

Answer:

Step-by-step explanation:

A. The null hypothesis is most of the time always the default hypothesis.

In this case study, the null hypothesis is people who regularly listen to radio talk shows vote in national elections as people in general.

While the alternative claim would be: people who regularly listen to radio talk shows are more or less likely to vote in national elections than people in general.

B. Since there are two options in the alternative claim: more or less, the researcher would use a two tailed hypothesis Z test. But if there is only one option, either more or less, then the researcher can use a one tailed Z test.

The percentage decrease is 19%, the percentage increase is 24%

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

Initial value = $2.59

Next value = $2.09

Final value = $2.59

The percentage decrease

The percentage of the decrease is then calculated using the following percentage equation

Percentage decrease = (Final amount - Initial amount)/Initial amount * 100%

Substitute the known values in the above equation, so, we have the following representation

Percentage decrease = (2.09 - 2.59)/2.59 * 100%

Evaluate

Percentage decrease = -19%

The percentage increase

The percentage of the increase is then calculated using the following percentage equation

Percentage increase = (Final amount - Initial amount)/Initial amount * 100%

Substitute the known values in the above equation, so, we have the following representation

Percentage increase = (2.59 - 2.09)/2.05 * 100%

Evaluate

Percentage increase = 24%

The percentage changes are not the same, and the percentage increase is greater

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Answer:

4 houses

Step-by-step explanation:

Last month (48)(2/3) = 32 houses sold

That left 48 - 32 = 16 houses left to sell

This month (16)(3/4) = 12 houses sold

That leaves 16 - 12 = 4 houses left to sell