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\(2a/5a\)

Simplfy and remove a to solve.

\(\frac{2a}{5a} =\frac{2}{5}(ANSWER)\)

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The reduction of 2a/5a will be 0.4.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

Given the expression,

2a/5a

Now by the law of multiplication

(2a/5a) = (2/5)(a/a)

(2a/5a) = 0.4

Hence "The reduction of 2a/5a will be 0.4".

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Answer:

.4

Step-by-step explanation:

Sample proportion of 90% confidence interval for a proportion (0.37, 0.43) is 0.40 .

Thus option C is correct.

Given, A 90% confidence interval for a proportion is found to be (0.37, 0.43) .

Sample proportion - margin of error = 0.37

Sample proportion + margin of error = 0.43

Therefore, the sample proportion will.be the average of the values given above and this will be:

= (0.37 + 0.43)/2

= 0.80/2

= 0.40

Therefore option C is correct.

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Answer:

\(pressure = \frac{force}{area} \\ = \frac{50}{5} \\ = 10 \: N {m}^{ - 2} \)

Step-by-step explanation:

OUT of  35 spins   4 + 15 + 3  = 22   were blue or green or purple

 22/35 probability  = 63%

The three true statements about the function and its graph are The graph of the function is a parabola, The graph does not open down (it opens upwards). and None of the given points, (20, -8) or (0, 0), lie on the graph.

Based on the quadratic function f(x) = x^2 – 5x + 12:

The value of f(-10) = 82 is not true.

To find the value of f(-10), substitute x = -10 into the function: f(-10) = (-10)^2 - 5(-10) + 12 = 100 + 50 + 12 = 162.

The graph of the function is a parabola.

This statement is true. The quadratic function has a degree of 2, which means its graph will be a parabola.

The graph of the function opens down.

This statement is not true. The coefficient of the x^2 term in the quadratic function is positive (1), so the parabola opens upwards.

The graph contains the point (20, -8).

This statement is not true. To verify if the point (20, -8) is on the graph, substitute x = 20 into the function: f(20) = (20)^2 - 5(20) + 12 = 400 - 100 + 12 = 312. Therefore, the point (20, -8) does not lie on the graph.

The graph contains the point (0, 0).

This statement is not true. To verify if the point (0, 0) is on the graph, substitute x = 0 into the function: f(0) = (0)^2 - 5(0) + 12 = 0 - 0 + 12 = 12. Therefore, the point (0, 0) does not lie on the graph.

Therefore, the three true statements about the function and its graph are:

The graph of the function is a parabola.

The graph does not open down (it opens upwards).

None of the given points, (20, -8) or (0, 0), lie on the graph.

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Interest is a fee charged by a lender to a borrower for the use of money or credit, usually expressed as a percentage of the amount borrowed or invested over a period of time. Brandon invested $\(4700\) at 3% interest and $\(1100\) at \(8\)% interest.  The total interest earned after one year is $229

How much was in each account?

Let x be the amount invested in the first account that pays 3% interest, and let y be the amount invested in the second account that pays 8% interest. Since the total amount invested is $5800, we have:

\(x + y = 5800\)

The amount of interest earned on the first account is 0.03x, and the amount of interest earned on the second account is 0.08y. Since the total interest earned after one year is $229, we have:

\(0.03x + 0.08y = 229\)

We now have two equations with two unknowns:

\(x + y = 5800\)

\(0.03x + 0.08y = 229\)

We can solve for x and y by using elimination or substitution method. Here, we will use the substitution method.

Solve the first equation for x:

\(x = 5800 - y\)

Substitute this expression for x into the second equation and solve for y:

\(0.03(5800 - y) + 0.08y = 229\)

\(174 - 0.03y + 0.08y = 229\)

\(0.05y = 55\)

\(y = 1100\)

Now substitute this value of y into either equation to solve for x:

\(x + 1100 = 5800\)

\(x = 4700\)

Therefore, Brandon invested $\(4700\) at 3% interest and $\(1100\) at \(8\)% interest.

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Answer:

The 96th term of the arithmetic sequence is -1234.

Step-by-step explanation:

first term (a)=1

second term (t2)=-12

common difference (d)= t2-a

d=-12-1

d=-13

96th term (t96)=?

We know that,

t96=a+(n-1)d

t96=1+(96-1)(-13)

t96=1+95(-13)

t96=1-1235

t96=-1234

Answer: 4:42

Step-by-step explanation:

4:30 + 0:12 = 4:42

The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively

Given the function :

Substitute the given value of x to obtain the corresponding f(x) values :

x = -0.6

f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358

x = -0.51

f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350

x = -0.501

f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967

x = -0.5

f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959

x = -0.4999

f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958

x = 0.499

f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951

x = -0.49

f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188

x = -0.4

f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125

Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013

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The cheapest price Sam would pay for 10kg of cake for the party is $5000 from Mega Mart.

To find the cheapest price Sam would pay for 10kg of cake for the party, we need to compare the prices of the available cakes and determine the most cost-effective option.

At Mega Mart, a 5kg cake costs $2500.

Therefore, the price per kilogram for this cake is:

Price per kilogram at Mega Mart = $2500 / 5kg = $500/kg.

At the same time, a 2kg chocolate cake costs $1200.

So, the price per kilogram for this cake is:

Price per kilogram for the chocolate cake = $1200 / 2kg = $600/kg.

Now, let's calculate the total price for 10kg of cake from each option:

Total price at Mega Mart for 10kg = $500/kg \(\times\) 10kg = $5000.

Total price for 10kg of chocolate cake = $600/kg \(\times\) 10kg = $6000.

Comparing the two options, we see that the Mega Mart cake is the more cost-effective choice.

Sam would pay a total of $5000 for 10kg of cake from Mega Mart, whereas the chocolate cake would cost $6000 for the same quantity.

Therefore, the cheapest price Sam would pay for 10kg of cake for the party is $5000 from Mega Mart.

In summary, Sam would pay the cheapest price of $5000 to purchase 10kg of cake for the party from Mega Mart.

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Answer:

1/2=10

Step-by-step explanation:

it depends upon the area of the triwngle

Answer:

A. \(\frac{24}{25}\)

Answer:

1) 30 pounds is the weight of the bag all together

2) science book is the heaviest book

Step-by-step explanation:

bag=4 pounds

library book=2 pounds

maths book=2×4=8 pounds

science book=8×2=16 pounds

4+2+8+16=30 pounds all together

heaviest book= science book (16 pounds)

Answer:

$50

Step-by-step explanation:

Answer:

I know that someone else already answered and got brainliest but I just thought to give some steps to solving because you never know who needs it ;)

The answer is 50 as the person who answered above me said.

Step-by-step explanation:

Now, to get to solving.

I hope this will be helpful to somebody and feel free to comment, ask questions, give feedback, and correct my steps if they are not correct!

Have a great day! :)

Answer:

The length of XY is 22.5

Step-by-step explanation:

Since you need to hurry I will not write an explanation

Hope this helps! :)

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A table that best represent the equation include the following: H. table H.

In order to determine the table that best represent the equation, we would have to substitute each of the values of x (x-values) into the linear function and then evaluate as follows;

When the value of x = 1 in table F, the linear function is given by;

y = x - 12

y = 1 - 12

y = -11 (False).

When the value of x = 0 in table G, the linear function is given by;

y = x - 12

y = 0 - 12

y = -12 (True).

When the value of x = 2 in table G, the linear function is given by;

y = x - 12

y = 2 - 12

y = -10 (False).

When the value of x = 0 in table H, the linear function is given by;

y = x - 12

y = 2 - 12

y = -10 (True).

When the value of x = 4 in table H, the linear function is given by;

y = x - 12

y = 4 - 12

y = -8 (True).

When the value of x = 6 in table H, the linear function is given by;

y = x - 12

y = 6 - 12

y = -6 (True).

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

Step-by-step explanation:

3.6*

It is very easy to find the perimeter of a square when its area is given in the question. For that, you only ned to know one fomula. That formula is: Area = side^2

For this particular question, the given value for the area of the square is 36 sq.cm. So, we can solve for the side(s) by substituting the given value in the above mentioned formula.

We get

36 = s^2

Now, we need to get the square root of both sides, which gives us

s = √36 s = 6 cm

Since all the sides of a square are equal in length, the side length is 6 cm. Now to determine the perimeter, we must multiply the side length by 4 (because there are 4 equal sides in a square). That gives us Perimeter = 4 x side length Perimeter = 4 x 6 cm.

Therefore, the perimeter of the square is 24 cm.

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Answer:

m = 4

Step-by-step explanation:

Solve:

-Chetan K

The exact value of tan(x) = -1, where 0 < x < 2π are; ​x = 135° and 315°

There are three primary trigonometric ratios based on a right angle triangle which are as follows;

sin θ = opposite/hypotenuse

cos θ = adjacent/hypotenuse

tan θ = opposite/adjacent

Now, the location and their signs in a quadrant are;

All the three trigonometric functions are positive in the first quadrant which is 0° to 90°

Only Sine is positive in the second quadrant which is 270° to 360°.

Only tangent is positive in the third quadrant which is 180° to 270°.

Only cosine is positive in the fourth quadrant which is 90° to 180°.

We are given;

tan(x) = -1, where 0 < x < 2π ​

This means the domain of x is is 0 < x < 360

Thus, the only values of x that will result in a negative answer(-1) are;

x = 135° and 315°

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Answer:

b. Meaningful because the sample size exceeds 30 and the central limit theorem ensures normality of the sampling distribution of the sample mean.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

In this question:

Sample of 100, which means that the central limit theorem applies, no matter the distribution of the population. So the correct answer is given by option b.

Answer:

The magnitude is  \(\Delta f(0,8)  =  72\)

The  direction  is  \(i\) i.e toward the x-axis

Step-by-step explanation:

From the question we are told that

   The function is  \(f(x, y) = 9sin(xy) \ \ \\)

    The point considered is  \((0,8 )\)

Generally the maximum rate of change of f at the given point and the direction is mathematically represented as

            \(\Delta f(x,y) =  [\frac{\delta  f(x,y)}{\delta x } i + \frac{\delta  f(x,y)}{\delta y } j  ]\)

             \(\Delta f(x,y) =  [\frac{\delta  (9sin(xy))}{\delta x} i  + \frac{\delta  (9sin(xy))}{\delta y} i   ]\)

            \(\Delta f(x,y) = [9y cos (x,y) i +  9xcos (x,y) j]\)

At  \((0,8 )\)

            \(\Delta  f (0,8) =  [9(8) cos(0* 8)i  + 9(8) sin(0* 8)j  ]\)

            \(\Delta  f (0,8) = 72 i \)

Answer:

Angles in resulting triangles are 90, 45, and 45

Step-by-step explanation:

A square starts out with four angles of 90 degrees. When you fold a square in half forming a triangle, you keep one of the 90 degrees (vertice #1), and the other 2 vertices will be 2 90 degree angles folded in half (90/2 = 45) (vertices 2 and 3). Then, by folding again forming another triangle, you keep one of the 45 degree angles (vertice 1), and fold the other 90 degree angle in half, making another 45 degree angle (vertice 2). Since a triangle is 180 degrees and 45+45=90, 180-90=90, meaning the resulting vertice will be 90 degrees.

Answer: 90,45,45

Step-by-step explanation:

The triangle is a right triangle meaning a 90 degree angle and 2 acute 45 degree angles.

90+45+45=180

A triangle has 180 degrees in total.

Answer:

work is shown and pictured

Correct Answer would be

D: (2,3)

Answer:

GURLLL I KNOW YOU KNOW 2+2=4. YES QUEEN SLAYYYY

Step-by-step explanation:

3 only has 4 factors : -1, -3, 1, 3

36 has 18 factors : 1,2,3,4,6,9,12,18,36 (and the negative forms as well).

We can see that the greatest common factor of 36 and 3 is 3.

x=256

\( {256}^{256} = ( { {2}^{8} })^{256} = {2}^{8 \times 256} = {2}^{2048} \)