1 Assignment find p what I = #192 R=2% T = 4years​

Answer:

\(\huge\boxed{\sf 3, \ 6\ and \ 15}\)

Step-by-step explanation:

Total = 24

Ratio:

1 : 2 : 5

Sum of ratio:

= 1 + 2 + 5 = 8

Divide 24 by 8

= 24 / 8 = 3

So, the division will be:

So, 24 can be divided into 3, 6 and 15 as 1 : 2 : 5.

\(\rule[225]{225}{2}\)

Answer:

3 : 6 : 15

Step-by-step explanation:

1 + 2 + 5 = 8

24 ÷ 8 = 3

1 x 3 : 2 x 3 : 5 x 3 = 3 : 6 : 15

The function that grows at the fastest rate for increasing values of x is f(x) = 4×2ˣ.

We can see this by comparing the growth rates of the three functions for larger and larger values of x.

As x gets larger, the exponential function f(x) grows much faster than the other two functions, which are both polynomial functions.

if we plug in x = 10, we get:

f(10) = 4×2¹⁰ = 4×1024 = 4096

h(10) = 9×10² + 25 = 925

g(10) = 15×10 + 6 = 156

As we can see, f(10) is much larger than h(10) and g(10), indicating that f(x) grows at a much faster rate than the other two functions.

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Answer:

An exponential function is a function in the form of f(x) = bx or y = bx (if we wish to express the function in terms of y instead of f(x)), where b > 0, b ≠ 1 and x is a ... the interval (-∞, ∞) is because any real number can be put in for x the function f(x) ... zero and negative numbers are not part of the range is because any positive

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

The equation will be:

x - (10% of x) = 27

x - 0.1x = 30

0.9x = 30

Divide by 0.9

x = 30

The number is 30

Second question:

Length = 2x - 3

Width = x

Perimeter = 72

Perimeter = 2(l + w)

= 2(2x - 3 + x) = 72

4x - 6 + 2x = 72

6x = 72 + 6

6x = 78

w = 78/6 = 13

The width is 13 meters

Answer:

\(\frac{49}{99}\)

Step-by-step explanation:

Having a line above one or more numbers in a decimal states that it is repeating. For example, if you have a line above the decimal 0.6, the full form would be 0.666666... going on infinitely.

Given the information above, divide all numbers by the numerator and denominator to find the decimal.

\(\frac{49}{100}\) = 0.49 (notice it does not have the line above it)

\(\frac{4}{9}\) = 0.444... (repeating)

\(\frac{7}{10}\) = 0.7

\(\frac{49}{99}\) = 0.4949494949... (repeating)

Thus, since the fraction \(\frac{49}{99}\) is a repeated 0.49 as a decimal, it is the answer.

Answer:

A. 49/100

Multiply both numerator and denominator by 10 for every number after the decimal point

0.49 × 100

1 × 100

49/100

Step-by-step explanation:

Hope it help

Brainliest please

By applying the PEMDAS rule, the given expression "1 × (-4) - 8 × - 3/9" is equal to -20/8.

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

In order to evaluate this expression, we would apply the PEMDAS rule, where operations within the parenthesis are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the expression to the right. Lastly, the operations of addition or subtraction would be performed from left to right.

Expression = 1 × (-4) - 8 × - 3/9

Expression = -4 - 8 × - 3/9

Expression = -4 - 8 × 1/3

Expression = -4 - 8/3

Expression = -4/1 - 8/3

Expression = (-12 - 8)/3

Expression = -20/8.

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Answer:

events at A and B are independent because P(A)(B)≠P(A)

The elephant grass will grow 105/4 inches in 7 days

The elephant grass grows 3 3/4 inches in a day

The number of inches it can grow in 7 hours can be calculated as follows

15/4= 1

x= 7

cross multiply both sides

x= 15/4 × 7

x= 105/4

Hence the elephant grass will grow 105/4 inches in 7 days

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Answer:

True mathematical statement.

"If x = 0, then for any real number y, we have: y*x = 0."

This is true, and we can prove it with the axioms of the real set.

A false mathematical statement can be:

"if n and x are integer numbers, then n/x is also an integer number."

And a counterexample of this is if we took n = 1 and x = 2, both are integer numbers, so the first part is true, but:

n/x = 1/2 = 0.5 is not an integer number, then the statement is false,

Answer:

True mathematical statement.

"If x = 0, then for any real number y, we have: y*x = 0."

This is true, and we can prove it with the axioms of the real set.

A false mathematical statement can be:

"if n and x are integer numbers, then n/x is also an integer number."

And a counterexample of this is if we took n = 1 and x = 2, both are integer numbers, so the first part is true, but:

n/x = 1/2 = 0.5 is not an integer number, then the statement is false,

Step-by-step explanation:

Answer:

r=5

Step-by-step explanation:

r³=125

=r⁵=125

=5x5x5

=125

Answer: R is 5

Step-by-step explanation:

5•5•5=125

Answer:

Impossible

Step-by-step explanation:

The initial deposit was $8000 and after 18 years the simple interest earned is $12960. So, the total amount for Melissa in college account is $20,960.

What is Simple Interest?

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time. Contrary to compound interest, where we add the interest of one year's principal to the next year's principal to compute interest, the principal amount under simple interest remains constant.

The amount that was put in college fund for Melissa, P = $8000

The rate at which interest was earned is, R = 9%

The time period after which the account was checked, T = 18 years

The formula for Simple Interest is -

S.I. = (P R T)/100

Substitute the values into the equation -

S.I. = (P R T)/100

S.I. = (8000 × 9 × 18)/100

S.I. = 1296000/100

S.I. = 12960

The amount of interest earned in 18 years is $12960.

The total amount after 18 years will be -

Total Amount = Initial deposit + Interest earned

Total Amount = $8000 + $12960

Total Amount = $20960

Therefore, the total amount after 18 years is $ 20,960.

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When Melissa was born, her parents put $8,000 into a college fund account that earned 9% simple interest. After 18 years, she had $20,960 in the account. How did this happen?

∠A = 41.81°

To get measure of angle A, we would apply trigonometry ratio SOHCAHTOA:

opposite = side opposite the angle = 4

hypotenuse = 6

adjacent = base = AC = ?

Since we have been given the opposite and the hypotenuse, we would use the sine ratio:

Sin A = opposite/hypotenuse

Sin A = 4/6

sin A = 0.6667

A = 41.8129 degrees

To the nearest hundredth, ∠A = 41.81°

Statisticians often talk about the position of a value, relative to other values in a set of data. The most common measures of position are percentiles, quartiles, and standard scores (aka, z-scores).

We can determine where a specific data point or value falls in a sample or distribution using measures of location. A metric can help us determine whether a value is typical or out of the ordinary high or low. For quantitative data that falls on a certain numerical scale, positional measures are used. Measures can occasionally be applied to ordinal variables, or variables with an order, such as first, second, and fiftyth.

Positional measurements can also demonstrate how values from various distributions or scales of measurement compare. For instance, by converting the measures to z-scores, it is possible to compare a person's height (measured in feet) and weight (measured in pounds).

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Answer:

x+5

Step-by-step explanation:

SOLUTION

Final answer:

Assuming that an unfair coin is tossed with outcomes of HH, HT, TH, and TT, and the probability is 0.40, 0.92, 0.29, and 0.55, then the given probabilities do not form a valid probability model for the sample space of two coin tosses.

The given probabilities do not form a valid probability model for the sample space of two coin tosses since a valid probability model must satisfy the following conditions:

To calculate the sum of the probabilities, we simply add up all of the given probabilities:

0.40 + 0.92 + 0.29 + 0.55 = 2.16

In this case, the sum of the probabilities is 2.16, which is greater than 1. Hence, the given probabilities do not form a valid probability model for the sample space of two coin tosses.

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Answer:

a. tanB= 3/2

Step-by-step explanation:

tanA= p/b =:2/3

For angle A,

p= 2

b=3

For angle B,

p = 3

b=2

So, TanB = 3/2

Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

What is congruent?

Congruent refers to things that are exactly the same size and shape. Even if we flip, turn, or rotate the forms, the shape and size should remain the same.

Here,

we have to prove when can we say that the two triangles are congruent.

SSS, SAS, ASA, AAS, and HL.

These tests describe combinations of congruent sides and/or angles that are used to determine if two triangles are congruent.

Hence, two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

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Answer:

2/15

Step-by-step explanation:

given that the triple integral = ∫∫∫ 8x^2 dv

and T is the solid tetrahedron with vertices :  (0, 0, 0), (1, 0, 0), (0, 1, 0), and (0, 0, 1)

hence the equation of the plane: x + y + z = 1

T [ (X,Y,Z) : 0≤x≤1, 0≤y≤1-x, 0≤z≤1-x-y ]

attached below is the detailed solution ( we multiply our answer after evaluation with the coefficient of  8 as attached to the initial expresssion)

By evaluating the triple integral where T is the solid tetrahedron with verticies (0, 0, 0), (1, 0, 0), (0, 1, 0), and (0, 0, 1) the value calculated is 2/15.

Given :

The triple integral ∭ 8x^2 dV, where T is the solid tetrahedron with verticies (0, 0, 0), (1, 0, 0), (0, 1, 0), and (0, 0, 1).

The following calculation can be used to evaluate the triple integral:

\(\rm I = \int\int\int 8x^2dV\)

T[(x,y,z) : \(0 \leq x \leq 1\) ; \(0 \leq y \leq 1-x\) ; \(0 \leq z \leq 1-x-y\) ]

Now put the limits in the above integral.

\(\rm I = \int\limits^1_0\int\limits^{1-x}_0\int\limits^{1-x-y}_0 {8x^2} \, dz \, dy \, dx\)

\(\rm I = \int\limits^1_0\int\limits^{1-x}_0 {8x^2} (1-x-y) \, dy \, dx\)

\(\rm I = 8 \int\limits^1_0\int\limits^{1-x}_0 {x^2-x^3-x^2y} \, dy \, dx\)

\(\rm I = 8 \int\limits^1_0 {x^2(1-x)-x^3(1-x)-x^2\dfrac{(1-x)^2}{2}} \, dx\)

\(\rm I = 8 \int\limits^1_0 {x^2-x^3-x^3+x^4-x^2\dfrac{(1+x^2-2x)}{2}} \, dx\)

\(\rm I = 4\left( \int\limits^1_0 {2x^2-4x^3+2x^4-x^2-x^4+2x^3} \, dx\right)\)

\(\rm I = 4\left( \int\limits^1_0 {x^2+x^4-2x^3} \, dx\right)\)

\(\rm I = 4\left( {\dfrac{x^3}{3}+\dfrac{x^5}{5}-\dfrac{x^4}{2}} \right)^1_0\)

\(\rm I = 4\left( {\dfrac{1}{3}+\dfrac{1}{5}-\dfrac{1}{2}} \right)\)

\(\rm I = \dfrac{2}{15}\)

By evaluating the triple integral where T is the solid tetrahedron with verticies (0, 0, 0), (1, 0, 0), (0, 1, 0), and (0, 0, 1) the value calculated is 2/15.

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The most accurate way to estimate the percentage of the given value = ¼×66. Which is option C

Percentage is defined as the representation of a given value all over 100 and is given with a symbol of %.

The given value.= 66

The 26% of 66 would be given as follows;

26/100 × 66/1

= 1716/100

= 17.16

Therefore, the most accurate way to represent 26 percentage of 66 would be = ¼ × 66 which would be = 16.5 and is approximately 17.

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Complete question:

Which is the most accurate way to estimate 26% of 66

¼×64

⅔×60

¼×66

⅔×60

The percent increase is 8%.

The ratio of the increased value to the original value, multiplied by 100, is the percentage increase formula. It is outlined as a percentage. Anything's value will increase if it is valued more, so will its proportion.

As follows is the percentage increase formula:

Percentage Increase = (Increased Value ⁄ Original Value) × 100

Given:

The number varies from $6.25/h to $6.75/h.

So, change in amount = 6.75- 6.25 = 0.50

Now, percent increase

= change in amount / original amount x 100

= 0.50/ 6.25 x 100

= 0.08 x 100

= 8%

Hence, the percent increase is 8%.

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Answer:

A) 14

B) 7.874

Step-by-step explanation:

perimeter is all 4 sides add

area is l*w

56/4

√62

Answer:

Step-by-step explanation:

V = 3.9V

I = 0.12A

Ohm's Law, V = IR

Rearranging Ohm's Law, R = V/I

R = 3.9/0.12 = 32.5Ω

Answer:

<

Step-by-step explanation:

The bigger the numerator,the smaller it is.

Answer:

i agree <

Step-by-step explanation:

The variance of Billy's grades obtained from his test scores is 15.76

The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.

The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;

The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2

The square of the differences of the values from the mean can be calculated as follows;

(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84

The sum of the square of the differences is therefore;

0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8

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Answer:

4(0,1),(1,3),2,9),(3,6)....

I hope maka tulong

Answer:

i think it is B sorry if i em wrong

Step-by-step explanation:

The probability that Bernard will take 1 green counter and 1 white counter is 0.82.

Let's first find the total number of white and green counters in the bag:

Total counters = 20

Red counters = 7

Green/White counters = 20 - 7 = 13

Now, let's calculate the probability that Bernard will take 2 white counters:

Probability of getting the first white counter = 13/20

Probability of getting the second white counter (after taking one out) = 12/19

Probability of getting 2 white counters = (13/20) * (12/19) = 0.41 (rounded to two decimal places)

Now, let's calculate the probability that Bernard will take 1 green counter and 1 white counter:

Probability of getting 1 green counter = 13/20

Probability of getting 1 white counter (after taking 1 green out) = 12/19

Probability of getting 1 green and 1 white counter = (13/20) * (12/19) = 0.41

However, we have to consider that there are two ways in which Bernard can get 1 green and 1 white counter - he can either get the green counter first and the white counter second, or vice versa. Therefore, we need to multiply the above probability by 2:

Probability of getting 1 green and 1 white counter = 0.41 * 2 = 0.82

Therefore, the probability that Bernard will take 1 green counter and 1 white counter is 0.82.

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