what is 4 1/2 + 3 3/4 as a fractiom

Answer:

10%

Step-by-step explanation:

I took the test on K12 and I know that's the answer.

For my quiz the answer is 50%

Answer:

tokyo

Step-by-step explanation:

The time it will take the pereson to leave their money in the bank until it reaches $20,100 is 3 years

Given the exponential equation expressed as:

\(A=6500(1.0175)^{4t}\\\)

Given that A = 20100, Substituting into the expression will give;'

20100 = 6500(1.0175)^4t

20100/6500 = (1.0175)^4t

3.0923 =  (1.0175)^4t

Taking the ln of both sides

ln3.0923  = 4tln(1.1075)

4t = ln3.0923 /ln(1.1075)

4t = 1.12891/0.1021

4t = 11.05690

t = 11.05690/4

t = 2.76

t ≈ 3 years

Hence the time it will take the pereson to leave their money in the bank until it reaches $20,100 is 3 years

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Answer:

False.

Step-by-step explanation:

The RMS (Root Mean Square) value of a sine wave represents the equivalent DC voltage that would produce the same amount of power in a resistive load. However, the heat produced in a resistor is directly proportional to the square of the current passing through it (according to Joule's Law). In the case of an AC waveform, the current continuously changes direction, resulting in a time-varying power dissipation. Therefore, comparing the RMS value of an AC waveform to a DC voltage is not directly applicable in terms of heat produced in a resistor.

As y varies inversely as x, the value of y when x = 3 is 45.

Inverse proportionality is expressed as:

y ∝ 1/x

Hence:

y = k/x

Where k is the constant of proportionality.

First, we determine the constant of proportionality.

Using the information given in the problem.

When x = 5, y = 27

Substituting these values into the formula, we get:

y = k/x

27 = k/5

k = 135

Now that we have found the value of k, we can use the formula to find y when x = 3. Substituting x = 3 and k = 135, we get:

y = k/x

y = 135/3

y = 45

Therefore, the value of y is 45.

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Answer:

15.9

Step-by-step explanation:

x = 10/ cos 51° = 10/0.629 = 15.9

The expression for the electric field strength at 1/2 R is E = 8 * π * k * q * r^2 / (1/2R)^2, and the expression for the electric field strength at 2R is E = 2 * π * k * q * r^2 / (2R)^2.

What is the spherical shell?

In geometry, a spherical shell is a generalization of an annulus to three dimensions. It is the region of a ball between two concentric spheres of differing radii.

(A) Electric field strength at 1/2R:

The electric field strength at a point P due to a charge q located at point O is given by:

E = k * q / r^2

where k is the Coulomb constant, q is the charge at point O, and r is the distance between points P and O.

For a spherical shell of radius R carrying charge 2q spread uniformly over its surface, the electric field at any point inside the shell is zero, since the charges on the shell produce equal and opposite electric field vectors that cancel each other out.

Therefore, the electric field strength at 1/2R is zero.

(B) Electric field strength at 2R:

At a distance of 2R from the center of the spherical shell, the electric field due to the entire shell can be calculated as if all the charge were concentrated at the center of the shell.

The electric field strength at a point P due to a point charge q located at the center of the spherical shell is given by:

E = k * q / r^2

where k is the Coulomb constant, q is the total charge on the shell (2q), and r is the distance between points P and the center of the shell (2R).

So, the electric field strength at 2R is:

E = k * (2q) / (2R)^2 = k * q / R^2

Hence, the expression for the electric field strength at 1/2 R is E = 8 * π * k * q * r^2 / (1/2R)^2, and the expression for the electric field strength at 2R is E = 2 * π * k * q * r^2 / (2R)^2.

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Answer:

$95

Step-by-step explanation:

If 1 plant is $12 each, 17 plants will be

= 17($12)

= $204

Substitute the number of trees for x

The total cost of both is $964

Hence,

17($12) + 8(x) = $964

$204 + 8x = $964

Collect like terms

8x = $964 - $204

8x = $760

Divide both sides by 8

8x/8 = 760/8

x = $95

Answer:

8x³ - 2x² - 51x - 45

Step-by-step explanation:

Given

(x - 3)(2x + 3)(4x + 5) ← expand second/third factors using FOIL

= (x - 3)(8x² + 22x + 15) ← distribute

= x(8x² + 22x + 15) - 3(8x² + 22x + 15) ← distribute parenthesis

= 8x³ + 22x² + 15x - 24x² - 66x - 45 ← collect like terms

= 8x³ - 2x² - 51x - 45

Answer:

8x^3-2x^2-51x-45

Step-by-step explanation:

(x − 3)(2x + 3)(4x + 5)

(2x^2+3x-6x-9)*(4x+5)

(2x^2-3x-9)*(4x+5)

= 8x^3-2x^2-51x-45

If Mr. Goldsman runs for one and a half hours, Kirby runs for 37 minutes 30 seconds.

The first step is to determine how many minutes kirby would run for every minute Mr Goldsman runs

Rate = 5/12

The second step is to multiply the rate by the minutes run by Mr Goldsman.

5/12 x 90 = 37.5

= 37 minutes 30 seconds

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Answer:

40%

Step-by-step explanation:

You can plug in 100 as the price of the radio to see how much the price decreased.

20% off of 100 will make it $80.

Then, with the 25% discount, it will be worth $60.

So, $40 was taken off, and 40÷ 100 is 0.4, so the overall percentage reduction was 40%

There are three types of roots in mathematics which are real , repeated and non real roots.

When the value of the roots obtained are less than 0 then the roots obtained are known as not real or imaginary roots.

When the roots are greater than zero then they are known as real roots.

When the value of roots obtained is equal to 0 then we conclude that the roots are repeated.

We can get the roots of a function by factorizing the given expression or we can also find them using the determinant method. Or we can also use the graphical method to find the roots.

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Simple random sampling is least likely to guarantee that the sample will be representative and unbiased.

Simple random sampling is a technique that is used in research in which each member of the population is given an equal chance of being selected. It's the most straightforward and most basic technique for selecting a random sample. Sampling is a statistical method used to gather and analyze data from a subset of a population to provide estimates, hypotheses, or projections of the whole population. A sample is a subset of a population chosen to represent it since it would be difficult to collect data on the entire population. A sample is thus chosen using sampling techniques, which are statistical approaches for choosing representative samples that guarantee unbiased and precise results.

Biased sampling is a type of sampling method that can lead to misleading or erroneous conclusions. It happens when the sample that has been chosen is not representative of the population it is meant to represent. Biased sampling occurs when the selection method used to obtain the sample is flawed.

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Therefore, after using three-fourths of the rice in the box, 4 and 1/4 cups of rice remained.

To find the number of cups of rice that remained in the box, we need to calculate three-fourths (3/4) of the total amount of rice in the box.

The total amount of rice in the box is given as five and two-thirds cups. To work with a fraction, we can convert the mixed number to an improper fraction:

5 and 2/3 = (5 * 3 + 2) / 3 = 17/3 cups

Now, we can find three-fourths (3/4) of 17/3:

(3/4) * (17/3) = (3 * 17) / (4 * 3) = 51/12 = 4 and 3/12 = 4 and 1/4 cups

Therefore, after using three-fourths of the rice in the box, 4 and 1/4 cups of rice remained.

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\(\large\displaystyle\text{$\begin{gathered}\sf \pmb{1) \ 2x^3-7x^2+8x-3=0 } \end{gathered}$}\)

Synthetic division is used since the equation is of the third degree. The divisors of -3 are 1, -1, 3, +3. So:

  | 2  -7    8  -3

1 |      2   -5   3

  | 2   -5    3  0

1 |      2     -3  

    2   -3     0

So the factorization is (x-1)² (2x-3)=0. So:

                     \(\bf{ x_1=x_2=1 \qquad x_2=\dfrac{3}{2} }\)

\(\large\displaystyle\text{$\begin{gathered}\sf \pmb{2) \ x^3-x^2-4=0 } \end{gathered}$}\)

Synthetic division is used since the equation is of the third degree. The divisors of -4 are 1, -1, 2, -2, 4, -4. So:

      |  1  -1  0  -4

  2  |     2  2    

         1  2  2  0

So the factorization is (x-2)(x²+x+2)=0 . When calculating the discriminant of the trinomial, it is concluded that it has no roots since the result is negative. So you only have one solution.

                   \(\bf{ 1^2-4(2)(2)=1-16=-15 < 0 \quad \Longrightarrow \quad x=2 }\)

\(\large\displaystyle\text{$\begin{gathered}\sf \pmb{3) \ 6x^3+7x^2-9x+2=0 } \end{gathered}$}\)

Synthetic division is used since the equation is of the third degree. The divisors of 2 are 1, -1, 2, -2. So:

   | 6    7       9      2

-2 |      -12    10     -2

     6    -5     1       0

So the factorization is (x+2)(6x²-5x+1)=0 . The quadratic equation is solved by the general formula:

         \(\bf{ x_{2, 3}&=\dfrac{5\pm \sqrt{(5)^2-4(6)(1)}}{2(6)}=\dfrac{5\pm \sqrt{25-24}}{12}=\dfrac{5\pm 1}{12} }}\)

                     \(\large\displaystyle\text{$\begin{gathered}\sf \begin{matrix} x_1=-2&\ \ \ \ \ \ x_{2}=\dfrac{6}{12} \qquad &\ \ \ x_3=\dfrac{4}{12}\\ &\ \ \ x_2=\dfrac{1}{2} \qquad &x_3=\dfrac{1}{3} \end{matrix} \end{gathered}$}\)

Answer: The x intercept is (-14/9,0)  which means the x intercept is -14/9. The y intercept is -14.

Step-by-step explanation:

the x intercept is when y is 0  so using the equation we could solve for x by putting in 0 for y.

0=--9x - 14

+ 14        +14

14= -9x  

x= -14/9

The y intercept is when x is zero so using the same method we will put in 0 for x in the equation and solve for y.

y= -9(0) - 14

y= 0-14

y= -14

Answer:

-0.20412414523 there you go

The value of h variable in the missing angle is; h = 22.4°

There are three interior angles in a triangle, when these three interior angles are added together, they give a sum of 180 degrees according to the triangles sum theorem.

Triangle UVW is sketched in the diagram attached attached, where:

m∠WUV = 36°

m∠UVW = (5h − 64)°

m∠AWB = (5h − 16)°.

m∠AWB = m∠VWU = (5h − 16)° [congruent angles]

m∠WUV + m∠UVW + m∠VWU = 180° [triangle sum theorem]

Substitute the relevant values to get;

36 + 5h − 64 + 5h − 16 = 180

Combine like terms to get;

10h - 44 = 180

10h = 180 + 44

10h = 224

10h/10 = 224/10

h = 22.4

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Answer:

The answer is 22.4

Step-by-step explanation: I got it right on my test.

For any given event, the probability of that event and the probability of the non-occurrence of the event must sum to one.

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

The probability of occurrence formula, also known to some as the “probability of occurrence formula PMP” is a tool for determining the chance that a given risk will occur. The formula requires two data points: number of favourable events possible and the total number of events possible.

Non occurrence patterns identifies the absence of events when detecting a pattern.

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Answer:

Step-by-step explanation:

m1 = 300

m2= 300(1+.05) = 300(1.05)

m3 = 300(1.05)(1.05)

m4= 300(1.05)(1.05)(1.05)

each subsequent month is the previous month times "1 + .05"

the "one" preserving the running total, and the extra ".05" adding the 5%

the repeating (1.05)(1.05)(1.05) is notational simplified using exponents

(1.05)(1.05)(1.05) = \((1.05)^{3}\)

The Laplace domain equation X(s) is found to be X(s) = (s + 2)/(s^2 + 5s + 6). The time domain equation x(t) can be obtained by applying the inverse Laplace transform to X(s), resulting in x(t) = e^(-t) - e^(-2t).

Given the Laplace domain equation X(s), we need to substitute the given parameters and find its expression in terms of s. The equation provided is X(s) = (s + 2)/(s^2 + 5s + 6).

To obtain the time domain equation x(t), we need to apply the inverse Laplace transform to X(s). The inverse Laplace transform of X(s) will give us x(t) in terms of t.

Applying the inverse Laplace transform to X(s) involves finding the inverse transform of each term separately. The inverse Laplace transform of (s + 2) is simply 1, representing the unit step function. The inverse Laplace transform of (s^2 + 5s + 6) is e^(-t) - e^(-2t), which can be obtained through partial fraction decomposition.

Therefore, the time domain equation x(t) is given by x(t) = e^(-t) - e^(-2t), where t represents time.

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Answer: y = -4/9x + 11/3

Step-by-step explanation:

The square root of the 15384 by division method is a 124.032.

According to the statement

We have to find that the square root with the division method.

So, For this purpose, we know that the

The long division is the mathematical method for dividing large numbers into smaller groups or parts

And

A generalised version of this method called polynomial long division is also used for dividing polynomials

From the given information:

The number is a 15384.

And then

Firstly in this number by the squaring of the same number and by this method after going down until the remainder is zero.

And after solving the square root of 15384

The answer will become 124.032.

So, The square root of the 15384 by division method is a 124.032.

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The equation of the graphed function is given as follows:

f(x) = x³ + 2x² - 5x - 6.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

From the graph, the zeros of the function are:

Hence the function is:

f(x) = a(x + 3)(x + 1)(x - 2).

In which a is the leading coefficient.

Expanding the product, we have that:

f(x) = a(x² + 4x + 3)(x - 2)

f(x) = a(x³ + 2x² - 5x - 6).

When x = 0, y = -6, hence the leading coefficient a is obtained as follows:

-6a = -6

a = 1.

Hence the function is:

f(x) = x³ + 2x² - 5x - 6.

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To draw the image of quadrilateral ABCD under a translation by 1 unit to the right and 4 units up, we will move each point of the quadrilateral in the specified direction.

Let's assume the coordinates of the original quadrilateral ABCD are as follows:

A(x₁, y₁), B(x₂, y₂), C(x₃, y₃), D(x₄, y₄)

To perform the translation, we will add the given values to the x-coordinates and y-coordinates of each point:

A'(x₁ + 1, y₁ + 4), B'(x₂ + 1, y₂ + 4), C'(x₃ + 1, y₃ + 4), D'(x₄ + 1, y₄ + 4)

Now, plot the original quadrilateral ABCD and then move each point to its corresponding new position.

For example, if point A had coordinates (2, 3), after the translation, it will move to (2 + 1, 3 + 4) = (3, 7). Similarly, you can calculate the new coordinates for points B, C, and D using the same process.

Once you have the new coordinates for each point, connect them to form the image of the quadrilateral ABCD under the translation.

The new quadrilateral A'B'C'D' will be a shifted version of the original quadrilateral, 1 unit to the right and 4 units up.

It's important to note that the scale and proportions of the quadrilateral will remain the same after the translation. Only its position in the coordinate plane will change.

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Answer:

Radius of cone = 5cm

Step-by-step explanation:

You can figure out a radius of the base of the cone by using Pythagoras as you know the hypotenuse (slant height) and the height of the triangle so:
\(13^2-12^2 =radius^2\)

\(169-144 =25 = radius^2\\\)

\(radius = 5\)cm

Answer:

5cm

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

The length of de is 3 unit. The correct answer is B.

The circle contains two secant lines. This is an easy problem to answer using the secant theorem.

According to the statement, the product of one secant and its "outside" portion equals the product of the second secant and its "outside" part if two secants are drawn to a circle from an outside point.

Based on the figure, we can infer:

AX * BX = EX * DX

We let the length to find , DE, be "x".

Thus, we can write:

AX * BX = EX * DX

(7+2) (2) =(x+3)(3)

(9)(2) =3x +9

3x = 18-9

x=3

thus DE = 3units

Your question is incomplete but most probably your full question was

AX and EX are secant segments that intersect at point X. Circle C is shown. Secants A X and E X intersect at point X outside of the circle. Secant A X intersects the circle at point B and secant E X intersects the circle at point E. The length of A B is 7, the length of B X is 2, and the length of X D is 3. What is the length of DE? 1 unit 3 units 4One-half units 4Two-thirds units

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Answer: The answer is B 3 units.

Step-by-step explanation: it show below.

The distribution of scores in a population is expected to be more variable than the distribution of sample means based on random samples of 25 cases from this population.

The distribution of scores in a population refers to the spread of scores in the entire population.

Population refers to the entire group of individuals, events, or things from which the sample or data is taken from. In population data, the variability or differences between the scores of the entire population is expected to be larger and wider.

The size of the distribution is determined by the range of scores, which can be further illustrated by the interquartile range, variance, and standard deviation. The distribution of sample means based on random samples of 25 cases from this population:

This refers to the distribution of the means of samples of the same size taken from the population. In this case, the sample means are based on random samples of 25 cases taken from the population. The variability of the sample means is referred to as the standard error of the mean (SEM) and is calculated as the standard deviation divided by the square root of the sample size (n).

When the sample means are drawn from the population, the sample means are expected to be less variable than the entire population because they are based on random samples and therefore are likely to be more representative of the population.

Since the sample means are less variable, the distribution of sample means will be narrower than the population distribution and will tend to be normally distributed with a mean equal to the population mean.

Therefore, we expect the distribution of scores in a population to be more variable than the distribution of sample means based on random samples of 25 cases from this population.

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Answer:

\(\frac{2}{9}\) or 0.2

Step-by-step explanation:

Answer:

-6/12

Step-by-step explanation: