Which one is it? A B C or D

The required reserve ratio is 20 percent

What is Ratio?

A ratio displays the multiplicity of two numbers. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. Similarly, the ratio of oranges to the overall amount of fruit is 8:14, while the ratio of lemons to oranges is 6:8.

A ratio is the relationship or comparison of two numbers belonging to the same unit to determine how much larger one number is than the other.

Given,

If the simple multiplier is 5

Multiplier = 1 / Required Reserve Ratio

5 = 1 / RR

5 = RR

The required reserve ratio = 1/5 = 20%

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The breadth and length is 64m and 74m

breadth=x

length=x+10

perimeter for 3 rounds=3y

3y*50=13800

y(perimeter)=276

2(l+b)=286

2(x+10+x)=276

2(2x+10)=276

4x+20=276

4x=276-20

x=256/4

x=64

breadth=64m

length=74m

The complete question is,

rectangular land is 10m longer than its breadth cost of fencing around it is 3 rounds at rs 50 per meter is rs 13800. find length and breadth

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The breadth and length of the land is 64m and 74m.

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W satisfies both conditions and is closed under addition and scalar multiplication.

In mathematics, a vector space is a fundamental concept in linear algebra.

It is a mathematical structure that consists of a set of objects called vectors, along with operations for vector addition and scalar multiplication.

These operations follow certain axioms, which define the properties of a vector space.

The statement "W is the set of all nonnegative functions in C(−∞, ∞)" does not specify the vector space C(−∞, ∞) correctly.

To determine if W is a subspace of a given vector space, we need to define the vector space correctly.

However, assuming C(−∞, ∞) refers to the set of all continuous functions defined on the interval (−∞, ∞), we can analyze whether W is a subspace of this vector space.

To be a subspace, W must satisfy two conditions:

W must be closed under addition.

W must be closed under scalar multiplication.

Let's evaluate these conditions for W, the set of all nonnegative functions in C(−∞, ∞):

W is closed under addition:

If we take two nonnegative functions from W, their sum will also be nonnegative.

Thus, the sum of any two functions from W will remain in W. Therefore, W is closed under addition.

W is closed under scalar multiplication:

If we multiply a nonnegative function from W by a positive scalar, the result will still be a nonnegative function.

Thus, scalar multiplication by a positive scalar preserves the nonnegativity of the function.

Therefore, W is closed under scalar multiplication.

Based on the above analysis, W satisfies both conditions and is closed under addition and scalar multiplication.

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When 0.36 is expressed as a common fraction in lowest terms, the numerator is 9 and the denominator is 25. The sum of the numerator and denominator is 34.

To calculate the sum of the numerator and denominator when 0.36 is expressed as a fraction in lowest terms, follow these steps:

In this case, 0.36 can be expressed as 9/25. The greatest common factor of 9 and 25 is 1, so the fraction is already in its lowest terms. The sum of the numerator and denominator is 9 + 25 = 34.

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Answer:

24

Step-by-step explanation:

18/3=6 6*4=24

The value of x for the similar triangles is equal to 24.

The triangles are similar, this implies that the length x cm of the bigger triangle is similar to the length HJ = 18 cm of the smaller triangle

and the length DF = 16 cm of the bigger triangle is similar to the length JG = 12 cm of the smaller triangle

so;

x/18 = 16/12

12x = 18 × 16 {cross multiplication}

12x = 288

x = 288/12 {divide through by 12}

x = 24 cm

Therefore, the value of x is equal to 24 cm for the similar triangles.

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Answer:

C = .40n

Step-by-step explanation:

The line shows that the graph is proportional.  I know this because the graph is linear and goes through the origin (0,0).  This means that I can take any point and put it in the form y/x to find the slope.

I took the point (10,4) on the graph.  I put that in the form y/x = 4/10.  4/10 = .40 which is my slope.

C= .40n

If he bake 3 loave pf banana bread. Since 23 1/3 wants a lot of bread, Erin's banana bread is not enough.

These are the specified parameters:

Erin's number of guests = 20 people.

Each guet to have 1 1\6 of a loaf.

If he bake 3 loave pf banana bread.

Much to be desired bread

= number of guests × bread per guest

= 20 × 1 1/6

= 20 × 7/6

= 70/3

= 23 1/3

He baked 3 banana loaves, whereas the desired number of loaves was 23 1/3.

Thus Erin's banana bread is not enough for the guest.

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When a = 2, b = 4, c = -5, and d = -5, the expression for 1/4b^3 - 1/5d^3 is 11.

How do you evaluate this expression?

When a = 2, b = 4, c = -5, and d = -5, the expression becomes:

1/4 * 4^3 - 1/5 * (-5)^3

= 1/4 * 64 - 1/5 * -125

= 16 - 25/5

= 16 - 5

= 11

So the expression evaluates to 11.

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The solution of the given linear inequality will be  -10/3 <= t <= -2.

What are linear inequalities?

Inequality represents the mathematical expression in which both sides are not equal. If the relationship makes the non-equal comparison between two expressions or two numbers, then it is known as inequality in Maths. In this case, the equal sign “=” in the expression is replaced by any of the inequality symbols such as greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤) or not equal to symbol (≠). The different types of inequalities in Maths are polynomial inequality, rational inequality, absolute value inequality.

The symbols ‘<‘ and ‘>’ express the strict inequalities and the symbols ‘≤’ and ‘≥’ denote slack inequalities. A linear inequality seems exactly like a linear equation but there is a change in the symbol that relates two expressions.

e.g. y>x+2

Now,

Given inequality is -2 I-3t-8I <=-4

So there are two inequalities 1. -2+3t+8<=-4 2. -2-3t-8<=-4

1. 3t+6<=-4   2.-3t-10<=-4

1. t>=-10/3    2. t<=-2

Hence,

          The solution of the given linear inequality will be  -10/3 <= t <= -2.

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Suppose that 20% of people own dogs, if you pick two people at random,  the probability that they both own a dog is 0.04.

Suppose that 20% of people own dogs.

So the probability of selecting own dogs = 0.20

The probability that a population unit will be included in a sample obtained through probability sampling is known as probability of selection. Each subset of a population has a probability of being chosen in the sample, which is determined by the sampling design.

If you pick two people at random, then the probability that they both own a dog = 0.20 × 0.20

If you pick two people at random, then the probability that they both own a dog = 0.04

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The equation of the line is y = -4x + 7.

The slope of a line is determined by the formula m = (y2 - y1) / (x2 - x1). Therefore, the slope of the line in question is -4, as given. To find the equation of the line, we must use the slope-intercept form, y = mx + b.

We know that the line passes through the point (1, 3). We can use this point to solve for b, the y-intercept. To do so, we will substitute the x- and y-coordinates of the point into the equation, and solve for b. We get 3 = (-4)(1) + b, so b = 7.

Therefore, the equation of the line is y = -4x + 7.

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The expression for side of square bottom = b - 3, volume of rectangle is 4050 and the volume of a cage with a height of 15 inches is 2160.

What is a function ?

Function can be defined as which relates an input to output.

Given,

Volume of a Bird Cage. A company makes rectangular shaped bird cages with height b inches and square bottoms.

Height = b

Volume V = 6³-6b²+9b.

Length of each side (s) :

V = 6³-6b²+9b.

s^2 b  = b (b^2 - 6b + 9 )

s^2 = b^2 - 6b + 9

(a - b ) ^2 = a^2 + b^2 -2ab

s^2 = (b-3) ^2

s = b-3

height is 18 inches and height is given as b

Hence, b = 18

s= b-3 (from i)

= 18 - 3

s = 15

Therefore volume:

volume of rectangle = l x b x h

V= 18 x15 x15= 4,050

(If height = 15

then, b = 15

b -15 = 0

Definition of remainder theorem:

we divide a polynomial P(x) by a factor ( x – a); to find a smaller polynomial along with a remainder. The factor doesn't have to be a part of the polynomial.

b^3 - 6b^2 + 9b  /  b-15  = 2160

Therefore Volume with b = 15 is 2160

Therefore, The expression for side of square bottom = b - 3, volume of rectangle is 4050 and the volume of a cage with a height of 15 inches is 2160.

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The Recommended daily amount of fiber from the expression 8x is 32g.

what are expressions?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division. For example, x + y is an expression, where x and y are terms having an addition operator in between. In math, there are two types of expressions, numerical expressions - that contain only numbers; and algebraic expressions- that contain both numbers and variables.

e.g. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.

Now,

Given Fiber in one serving of cereal=8gm which is 25% of one day need.

Let 8x be the fiber in cereal where x is multiple of 25%.

So, for one day need fiber needed is 100% i.e. x=4.

Therefore, Fiber needed =8*4=32g

Hence,

          The Recommended daily amount of fiber is 32g.

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Answer:
The solution to the system of linear inequalities x <= 8 and y > -3, represented on a coordinate plane, is a region that satisfies both inequalities. It is the half-plane formed by the line x=8 and above the line y=-3 .

Step-by-step explanation:

The solution to the system of linear inequalities x <= 8 and y > -3 can be represented on a coordinate plane as a region that satisfies both inequalities.

To graph the solution, we first plot the line x = 8 on the coordinate plane. Since x <= 8, this line represents the boundary of the solution. Everything to the left of the line x = 8 is included in the solution.

Next, we plot the line y = -3. Since y > -3, everything above the line y = -3 is included in the solution.

The final graph will be a half-plane formed by the line x=8 and above the line y=-3 .

The points to be graphed are  (0, 3.5) and (-2.8, 0). The graph of the equation is shown in the attached image

Given  y = x/8 + 3.5

In order to graph the equation of the line:

First, find the value of x when y = 0:

y = x/8 + 3.5, when y = 0:

0 = x/8 + 3.5

x/8 = -3.5

x = -28

Thus, x-intercept is (-28, 0)

Also, find the value of y when x = 0:

y = x/8 + 3.5, when x = 0:

y = 0/8 + 3.5

y = 3.5

Thus, y-intercept is (0, 3.5)

Therefore,  the values to be plotted on our graph are (0, 3.5) and (-2.8, 0). The image of the graph is attached

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Answer:

1/10 or 0.1 or 10%

Step-by-step explanation:

[tex] \frac{1}{5} \times \frac{1}{2} = \frac{1}{ 10 } [/tex]

Answer:

To solve this problem, we first need to determine the probability of events A and B. Event A is the event "odd", so the probability of event A is 3/6, or 1/2. Event B is the event "5", so the probability of event B is 1/6.

Next, we can use the rules of probability to determine the probability of the given events. The probability of A and B occurring is the probability of event A multiplied by the probability of event B, so the probability of A and B occurring is 1/2 x 1/6 = 1/12.

The probability of either A or B occurring is the probability of event A plus the probability of event B minus the probability of A and B occurring, so the probability of either A or B occurring is 1/2 + 1/6 - 1/12 = 5/12.

The probability of A or B not occurring is the probability of the complement of A or B, which is the probability of neither A nor B occurring. The probability of neither A nor B occurring is 1 - (1/2 + 1/6 - 1/12) = 1/12.

The probability of A given B is the probability of A and B occurring divided by the probability of B occurring, so the probability of A given B is 1/12 / 1/6 = 1/2.

Therefore, the probabilities of the given events are 1/2, 5/12, 1/12, and 1/2 respectively.

Answer:

[tex]\left(\dfrac{14}{3}\;, \;\dfrac{16}{3}\right)[/tex]

Step-by-step explanation:

We have two points A(2, 4) and B(10, 9)

P divides the segment AB, it is located 1/3 of the distance from A to B

Lets use the following notation

[tex]\textsf {x_{AB}$= x-distance from A to B}[/tex]
This is the absolute difference between the x-coordinates of A and B

[tex]\textsf {y_{AB}$= y-distance from A to B}[/tex]
This is the absolute difference between the y-coordinates of A and B

[tex]\textsf {x_{AP}$= x-distance from A to P}[/tex]
This is the absolute difference between the x-coordinates of A and P

[tex]\textsf {y_{AP}$= y-distance from A to P}[/tex]
This is the absolute difference between the y-coordinates of A and P

To find the coordinates of P:

Answer: The coordinates of point P are:
[tex]\left(\dfrac{14}{3}\;, \;\dfrac{16}{3}\right)[/tex]

If you actually calculate the distances AB and AP using the distance formula:   [tex]d = \sqrt {(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}[/tex]

you will find
AB has length 8.944272 and AP has length 2.9829

2.9829/8.944272 ≅ 0.333 which is 1/3

35⁰

To solve for x, we need to find the sum of the interior angles of the hexagon and equate it to the known sum for a convex hexagon, which is 720°.

The sum of the interior angles is:

x° + x° + (2x - 3)° + (3x + 7)° + (7x - 12)° + (6x + 28)° = 720°

Expanding:

20x + 20 = 720

Subtracting 20 from both sides:

20x = 700

Dividing both sides by 20:

x = 35

So the value of x is 35.

Answer:

To find the value of x such that the quadrilateral is a parallelogram, you need to solve for x in the equation 2x+1 = 3x - 1. This gives x = 1. The perimeter of the parallelogram is then 2x + x² - 5 + x² - 7 + 3x - 1 = 4x² - 13. Substituting x = 1 gives the perimeter as 4 - 13 = -9.

Jamal will have the amount of $5132.10 in the account after 10 years.

As per the given data:

Jamal deposited the principal amount of $4000 into an account.

P = $4000

Amount brought with 2. 5% interest which is compounded quarterly.

Convert the rate percent to the decimals.

We get:

2. 5% = [tex]$\frac{25}{100}[/tex]

2. 5% = 0.025 = r

Also given that no withdrawals are made.

Here we have to determine that how much will he have in the account after 10 years.

t = 10 years

As the interest is compounded quarterly the value of n is 4

n = 2

Compound interest is the type of interest that is added to the principle amount before the next compounding period begins.

According to compound interest formula:

[tex]$ A=P\left(1+\frac{r}{n}\right)^{n t} \\[/tex]

[tex]$\Rightarrow & A=4000\left(1+\frac{0.025}{4}\right)^{4 \times 10} \\[/tex]

[tex]\Rightarrow \quad & A=4000(1+0.00625)^{40} \\[/tex]

[tex]\Rightarrow \quad & A=4000 \times(1.00625)^{40} \\[/tex]

A = 4000 × 1.2830268206

A = 5132.1072824

A = 5132.10 (After rounding to the nearest cent)

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Answer:

C

Step-by-step explanation:

Hi there and welcome to brainly!

By looking at the number line, we want to identify which point represents the approximate value of 5π

We know that π has an approximate value of 3.14 so the approximate value of 5π = 5 × 3.14 = 15.7

Looking at the number line, 15.7 falls in between 15 and 16 which correlates to point C

The concept is Data Analysis,  which is the process of totally applying statistical tools to dissect data. The answer is options B, C, and D.

To help you consider data limitations, critically dissect correlations, examine the environment, and understand tool strengths and sins. Data analysis applies statistical and/ or logical ways to describe, illustrate, epitomize, and estimate data.

Data analysis helps individualities and associations make sense of data. Data analysts typically analyze raw data for insights and trends.

Limitations include:

Question

You're preparing a question-and-answer session that will follow your donation. Which styles help you to consider data limitations? elect everything that suits you.

A) exclude the outliers

B) Understand the strengths and sins of the tools

C) Critically dissect the correlations

D) Look at the environment

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Answer:

X>3

Step-by-step explanation:

So we're solving for X

Since it's an inequality, let's make it = 27 instead

4x+15=27

Now we can subtract 15

4x = 12

x = 3

Now that it's saying > 27, that means the same for x, it's has to be > too, concluding x>3... all x's greater than 3

Answer:

Solution:
4 (x/8-2)
= 4 times 1/16 (16 x x/8 - 2x 16)
= 1/4 (2x-32)
Hence 4, (x/8-2) = 1/4 (2x-32) and it has infinitely many solutions

Step-by-step explanation:

Answer:

Star is is further away

3.995 x [tex]10^{7}[/tex]

Step-by-step explanation:

(4 x [tex]10^{7}[/tex]) - ( 5 x [tex]10^{4}[/tex]) To subtract we need to have the same powers of 10

(4 x [tex]10^{7}[/tex]) - (.005 x [tex]10^{7}[/tex])

(4  - .005)x [tex]10^{7}[/tex]

3.995 x [tex]10^{7}[/tex]

The statement that the function is decreasing in the given interval is incorrect.

We have,

To justify why the function with f' = 2cos(x)sin(x) is decreasing from π/2 to 3π/2, we need to analyze the sign of the derivative in that interval.

The derivative f' represents the instantaneous rate of change of the function f(x) at any given point.

When f' is positive, it indicates that the function is increasing, and when f' is negative, it indicates that the function is decreasing.

In this case,

f' = 2cos(x)sin(x).

To determine the sign of f' in the interval [π/2, 3π/2], we can examine the behavior of cos(x) and sin(x) in that range.

In the interval [π/2, 3π/2], cos(x) is negative, and sin(x) is negative as well. When both factors in the expression 2cos(x)sin(x) are negative, their product is positive.

Since f' = 2cos(x)sin(x) is positive in the interval [π/2, 3π/2], it indicates that the function f(x) is increasing in that interval.

Therefore, the function is not decreasing from π/2 to 3π/2.

Thus,

The statement that the function is decreasing in the given interval is incorrect.

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