Mr. Jones's prescription calls for 1.04 tablets per day. Based on this information, how many tablets should Mr. Jones take per day? a) 1.25 O b) 1.5 c) 1 O d) 2

Paula's account will earn a total of $282,546.60 in interest over the next 20 years, in addition to her initial investment of $250,000.

The monthly yield on Paula's account can be calculated using the following formula:

Monthly Yield = (Account Balance x Annual Percentage Rate) ÷ (12 x 100)

Monthly Yield = (250,000 x 5.63) ÷ (12 x 100) = $1,177.29

So, Paula's account will earn a monthly yield of $1,177.29 for the next 20 years. To calculate the total amount earned over the 20-year period, we can multiply the monthly yield by the number of months in 20 years (i.e., 240):

Total Earnings = Monthly Yield x Number of Months

Total Earnings = $1,177.29 x 240

Total Earnings = $282,546.60

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The measure of angle 2 is 140 and <3 is 20 degree.

A parallelogram is a particular instance of a rhombus. The opposing sides and angles in a rhombus are parallel and equal. A rhombus also has equal-length sides on each side, and its diagonals meet at right angles to form its shape. The rhombus is also referred to as a diamond or rhombus.

As, Rhombus have angles which are opposite to each other are equal.

So, <1 = <2 = 140

Also, Consecutive angles are equal to 180° which shows the angle between <1 and <2 measure

= 180- 140

= 40

and, <3 = 1/2 <1

<3 = 1/2(40)= 20

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Answer:

y = 2x + 2

Step-by-step explanation:

General point-slope form:

point = (x1,y1) = (1,4)

slope = m = 2

y-y1 = m(x-x1)

Substitute values

y - 4 = 2 (x-1)

y = 2x -2 + 4

y = 2x + 2

The value of the polynomial equations are

f ( -10 ) = 20201

f ( 2 ) = 17

f ( 3 ) = 142

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the polynomial equation be represented as A

Now , the value of A is

f ( x ) = 2x⁴ + x² - 10x + 1   be equation (1)

Now , when the value of x = -10

f ( -10 ) = 2 ( -10 )⁴ + ( -10 )² - 10 ( -10 ) + 1

On simplifying , we get

f ( -10 ) = 2 ( 10000 ) + 100 + 100 + 1

f ( -10 ) = 20000 + 201

f ( -10 ) = 20201

Now , when the value of x = 2

f ( 2 ) = 2 ( 2 )⁴ + ( 2 )² - 10 ( 2 ) + 1

On simplifying , we get

f ( 2 ) = 2 ( 16 ) + 4 - 20 + 1

f ( 2 ) = 32 - 15

f ( 2 ) = 17

Now , when the value of x = 3 , we get

f ( 3 ) = 2 ( 3 )⁴ + ( 3 )² - 10 ( 3 ) + 1

f ( 3 ) = 2 ( 81 ) + 9 - 30 + 1

f ( 3 ) = 162 - 20

f ( 3 ) = 142

Hence , the polynomial equations are solved

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Answer:

A majority of the data will lie between 38 and 46.

Step-by-step explanation:

It can be said that a majority of the data of a distribution lies within 1 standard deviation of the mean.

In this question:

Mean of 42, standard deviation of 4.

42 - 4 = 38

42 + 4 = 46

A majority of the data will lie between 38 and 46.

The values of a, h and k for the function include the following:

a = 2

h = 3

k = -2

In Mathematics and Geometry, the general form of a logarithm function is represented by the following mathematical equation:

f(x) = alog(±x + h) + k

Where:

Based on the given logarithm function f(x) = 2log₄(x + 3) - 2, we can reasonably infer and logically deduce that the scale factor (a) used is equal to 2.

This ultimately implies that, the values of a, h and k for the function are 2, 3, and -2 respectively.

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Answer:

16cm^2

Step-by-step explanation:

8*4=32

Because it is a triangle, divide by 2. So:

32/2=16cm^2

\(25^{\frac{1}{2} }\)  = 5 because \(25^{\frac{1}{2} }\) = √25 and  √25 = 5.

Using exponent rule,

\(25^{\frac{1}{2} }\) = √25

Any number raised to the power of half (1 / 2), is the same as the square

root of that number. It is represented mathematically as follows:

\(a^{\frac{1}{2} }\) = \(\sqrt{a}\)

Therefore,

To find that \(25^{\frac{1}{2} }\)  = 5 can be resolved as follows:

Since \(25^{\frac{1}{2} }\) = √25

√25 = 5

Therefore,

\(25^{\frac{1}{2} }\)  = 5

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Answer:

Step-by-step explanation:

Use the cosine rule and see if the numbers hold true. a^2 = b^2 + c^2 - (2bc (cos x))

By substituting in our values I get that cos x = 0.838... which is possible. If cos x would equal 1.5, the there is no solution and the triangle would not be possible.

Answer:

$44

Step-by-step explanation:

it's math

Answer:

$59.4

Step-by-step explanation:

Turn the percentage into a decimal.

8% = 0.08

Multiply.

55 * 0.08 = 4.4

Add.

59.4

Best of Luck!

Answer:

P = 37 units

Step-by-step explanation:

There is no whole number by which you can multiply or divide 16087 to make it a perfect square.

To determine by which number you should multiply or divide 16087 to make it a perfect square, we can analyze its prime factorization. The prime factorization of 16087 is 13 × 1237.

In order to make 16087 a perfect square, we need each prime factor to have an even exponent. However, when we examine the prime factors of 16087, we find that both 13 and 1237 have an exponent of 1.

To make the exponents even, we need to multiply or divide 16087 by additional prime factors and their respective exponents. However, since 16087 is a product of two prime numbers (13 and 1237), we cannot introduce any additional prime factors to make the exponents even.

A perfect square is a number that can be expressed as the product of two equal factors. In the case of 16087, it cannot be transformed into a perfect square by multiplying or dividing by any whole number. The prime factors 13 and 1237 remain with an exponent of 1 each, indicating that there is no integer that can be applied to make them equal and convert 16087 into a perfect square.

Therefore, there is no whole number by which you can multiply or divide 16087 to make it a perfect square.

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Brenna's monthly net income is $2,640.

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Answer:

(1.985, 15.815)

Step-by-step explanation:

Given that:

Sample size (n) = 20

Standard deviation (s) = 11.986

Mean (m) = 8.9

α = 99%

Using the relation :

Confidence Interval = Mean ± Error

Where ;

Error = Zcritical * standard deviation / sqrt(n)

Zcritical at 99% = 2.58

Hence,

Error = 2.58 * (11.986/sqrt(20))

Error = 2.58 * 2.6801510

Error = 6.91478958

Hence,

Lower boundary = 8.9 - 6.91478958 = 1.98521042

Upper boundary = 8.9 + 6.91478958 = 15.81478958

(1.985, 15.815)

The incorrect statement is:

B. The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x < 6.

In the given statement, there is an error in the inequality. The correct statement should be:

The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6.

When solving the three-part inequality - 5x < 15x^2 < 3, we need to split it into two separate inequalities. The correct splitting should be:

- 5x < 15x^2 and 15x^2 < 3

Simplifying the first inequality:

- 5x < 15x^2

Dividing by x (assuming x ≠ 0), we need to reverse the inequality sign:

- 5 < 15x

Simplifying the second inequality:

15x^2 < 3

Dividing by 15, we get:

x^2 < 1/5

Taking the square root (assuming x ≥ 0), we have two cases:

x < 1/√5 and -x < 1/√5

Combining these inequalities, we get:

- 5 < 15x and x < 1/√5 and -x < 1/√5

Therefore, the correct statement is that the three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6, not - 6 ≤ 5 - x < 6 as stated in option B.

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Answer:

False.

Step-by-step explanation:

In this equation the first part is correct 2/5 = 0.4 but when you divide 1 by 4 you get 0.25 which is not equal to 0.5, like this:

2 / 5 = 0.4

1/4 = 0.25

But that would mean the equation would look more like this:

0.4 + 0.25 = 0.4 + 0.5

or

0.65 = 0.9

So this equation is false.

Hope this helps you!!

The conditional probability for this problem is given as follows:

C. P(A|B) = 2/5 = 0.4 = 40%.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

For this problem, we have that 5 students play soccer, and of those, 2 play basketball, hence the conditional probability is given as follows:

C. P(A|B) = 2/5 = 0.4 = 40%.

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The insect measurement that was the most frequent is given as follows:

1 and 1/4 inches.

A dot plot is a simple graphical display that uses dots to represent data values. It is also sometimes called a dot chart or a scatterplot. In a dot plot, each data point is represented by a dot along a number line or axis, where the position of the dot corresponds to the value of the data point.

Hence, a dot plot shows the number of times that each observation appeared in the data-set.

The observation with the most dots is the observation 2/8 of the way between 1 and 2, hence the most frequent observation is given by the following mixed number:

1 and 2/8 = 1 and 1/4 inches.

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Answer:

I believe that it is 45 but I'm not 100% sure.

Step-by-step explanation:

Answer:

-48

Step-by-step explanation:

(-2)(-3)(-4)(-1)(-2)

(6)(-4)(-1)(-2)

(-24)(-1)(-2)

(24)(-2)

(-48)

The perimeter of the given triangle is: 19.2 units

The formula for the distance between two coordinates is:

D = √[(y₂ - y₁)² + (x₂ - x₁)²]

Thus: (0, 3)(4, -2)

Slant distance on left side of triangle = √[(-2 - 3)² + (-3 - 0)²] = 5.8 units

Slant distance on right side of triangle = √[(-2 - 3)² + (4 - 0)²] = 6.40 units

Length of horizontal part of triangle = 7 units

Thus:

Perimeter of triangle = 5.83 + 6.40 + 7 = 19.2 units

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Answer:

becz they r real ?

I don't get it question

The ordered pair that is NOT a solution to the equation y = 2x is (3, 8)

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

y = 2x

From the graph (see attachment), we have the following points:

A = (1, 2)

B = (2, 4)

C = (3, 8)

D = (5, 10)

The equation y = 2x means that

y is twice of x

In C = (3, 8), 8 is not twice of 3

Hence, the ordered pair that is NOT a solution is C = (3, 8)

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Answer:

C

Step-by-step explanation:

here in the question it is given that it is four times as long as wide and its area is 36 square inches

now as we onow 3×4 =12

therefore here the side becomes four time

now area of rectangle is equal to 12 ×3 =36

9514 1404 393

Answer:

  y +2 = (1/3)(x -6)

Step-by-step explanation:

When given a point and a slope, it is convenient to use the point-slope form of the equation for a line.

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

For your point and slope, this is ...

  y +2 = 1/3(x -6)

__

The slope of 1/3 means the graph has a "rise" of 1 for each "run" of 3:

  slope = m = rise/run = 1/3

A graph of it is attached.

The quadratic equation that gives the height of the rocket, h = 156·t - 16·t² is evaluated at h = 60 feet to give the two times the rocket's height is 60 feet as 0.40 seconds and 9.35 seconds.

A quadratic equation is an equation of the second degree that can be expressed in the form; a·x² + b·x + c = 0, where the letters, a, and b represents the coefficients of x and c is a constant.

The initial velocity of the rocket = 156 ft./s upwards

The given equation of the rocket is: h = 156·t - 16·t²

The times when the rocket height is 60 feet are found by plugging in the value h = 60, in the equation of the vertical height of the rocket as follows:  

h = 60 = 156·t - 16·t²

156·t - 16·t² - 60 = 0

4·(39·t - 4·t² - 15) = 0

Therefore: \(39\cdot t - 4\cdot t^2 - 15 = \dfrac{0}{4} =0\)

39·t - 4·t² - 15 = 0

-4·t² + 39·t - 15 = 0

From the quadratic formula which is used to solve the quadratic equation of the form; f(x) = a·x² + b·x + c, is presented as follows;

\(x = \dfrac{-b\pm\sqrt{b^2-4\cdot a \cdot c} }{2\cdot a}\)

The solution of the equation, -4·t² + 39·t - 15 = 0, is therefore:

\(t = \dfrac{-39\pm\sqrt{(39)^2-4\times (-4) \times (-15)} }{2\times (-4)}= \dfrac{-39\pm\sqrt{1281} }{-8}\)

Therefore, when the height of the rocket is 60 feet, the times are: \(t = \dfrac{-39-\sqrt{1281} }{-8}\approx 9.35\) and \(t = \dfrac{-39+\sqrt{1281} }{-8}\approx 0.40\)

The times when the height of the rocket is 60 feet, the times are:

t ≈ 9.35 s, and t ≈ 0.40 s

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Answer:

Arrange them from biggest to smallest

Step-by-step explanation:

The bigger the circle the larger the area

Answer:

4, 3, 1, 2

Step-by-step explanation:

The solution to the system of equations is (x, y) = (-261/47, 44/47) as an ordered pair.

To solve the given system of equations:

Equation 1: 8x + 9y = -36

Equation 2: x + 7y = 1

We can use the method of substitution or elimination to find the values of x and y. Let's use the method of substitution:

From Equation 2, we can solve for x:

x = 1 - 7y

Substituting this value of x into Equation 1:

8(1 - 7y) + 9y = -36

8 - 56y + 9y = -36

-47y = -44

y = 44/47

Substituting the value of y back into Equation 2 to find x:

x + 7(44/47) = 1

x + 308/47 = 1

x = 1 - 308/47

x = (47 - 308)/47

x = -261/47

Therefore, as an ordered pair, the solution to the system of equations is (x, y) = (-261/47, 44/47).

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