Please Help ASAP! Simplify roots of negative numbers. Express your answer in simplified form.

The value of the vase 65 years ago was $115.38

The value of the vase now is $415.38.

Percentage is a measure of frequency. Percentage is the fraction of an amount that is expressed as a number out of 100. The sign that is used to represent percentage is %.

The equation that can be used to represent the increase in the value of the vase is:

Increase in the value of the vase = percentage increase x value of the vase 65 years ago

300 = 2.6v

In order to determine the value of v, divide both sides of the equation by 2.65.

v = 300 / 2.60

v = $115.38

Value of the vase now = value of the vase 65 years ago + increase

$115.38 + $300 = $415.38

To learn more about percentages, please check: https://brainly.com/question/25764815

#SPJ1

The area wiped by the viper blade is approximately 486.7 square inches.

The area wiped by the wiper blade (\(A\)), in square inches, is equal to the area of the circular section described below:

\(A = \frac{\theta\cdot \pi}{360}\cdot (R^{2}-r^{2})\) (1)

Where:

If we know that \(\theta = 130^{\circ}\), \(R = 25\,in\) and \(r = 14\,in\), then the area wiped by the wiper blade is:

\(A = \frac{130\pi}{360} \cdot [(25\,in)^{2}-(14\,in)^{2}]\)

\(A \approx 486.7\,in^{2}\)

The area wiped by the viper blade is approximately 486.7 square inches.

We kindly invite to check this question on circular sections: https://brainly.com/question/14989543

NOTE ; Kindly ensure the x-axis have equal width

Part A: Daiane was known to have sold 5 boxes.

Part B: Manuel as known to have sold  sold 4 boxes.

Part C: Daiane sold a total of =  $40 while  Manuel sold a total of $40.

From the question, take the number of boxes Daiane sold as 'x'.

Note that she sells each box for $8, Hence the total dollar amount she sold is  8x.

Also take the number of boxes Manuel sold is 'y' because he sells each box for $10, so the total dollar amount he sold is = 10y.

Since  the total dollar amount Diane sold is equal to the total dollar amount Manuel sold. the equation will bw:

8x = 10y

Then one can  simplify the equation, by  dividing both sides by the greatest common divisor (GCD) of 8 and 10, that is 2:

(8x)/2 = (10y)/2

4x = 5y

So the possible solution is that

x = 5

y = 4.

So one can say that:

Part A: Daiane sold 5 boxes.

Part B: Manuel sold 4 boxes.

Part C: Daiane sold a total of :

= 8 x  5

= $40

Manuel sold a total of :

= 10 x  4

= $40

Learn more about cookies  from

https://brainly.com/question/14252552

#SPJ1

Diane  sells boxes of cookies for $8 each. Manuel sells boxes of cookies for $10 each. Each of them sold the same dollar amount. It was the smallest dollar amount for which this was possible. Answer the following questions.

Part A : How many boxes did Daiane sell?

Part B : How many boxes did Manuel Sell?

Part C : What was the dollar amount each of them sold?

Answer:

x = 1/2 , x = -1/2

Step-by-step explanation:

Given equation;

169x² - 42.25

Find:

Solution of equation using square root

Computation:

169x² - 42.25

We know that 13² = 169 and 6.5² = 42.25

So,

[13x]² - [6.5]²

a² - b² = (a + b)(a - b)

So,

[13x]² - [6.5]² = [13x + 6.5][13x - 6.5]

So,

13x + 6.5 = 0 , 13x - 6.5 = 0

x = 6.5 / 13 , x = -6.5 / 13

x = 1/2 , x = -1/2

Answer:

1/4

Step-by-step explanation:

You do rise over run so it would be 1 over four

Answer: The slope of the line is \(\frac{8-6}{8-0}=\frac{2}{0}.\)

Step-by-step explanation: The slope of the line is going through the point is (8, 8) and the point is (0, 6).

1. The teachers used the different words for the y and x-coordinates, they called the y-coordinate as the rise and the x-coordinate as the run but the others preferred as the delta notation (Δ) for the rise and the run.

2. These words all mean exactly the same thing, which is that the y values are on the highest top of the formula and the y values are on the lowest bottom part of the formula.

In order to find the slope of the line given the graph image, we need to use the slope formula that looks like this: \(\frac{Rise}{Run}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\), I count the rise point, for the rise the point is 2 points, and the run is 8 points, so I use the formula looks like this: \(\frac{8-6}{8-0}=\frac{2}{0}.\) So I hoped this found very helpful, if not please tell me the correct answer and then report my wrong answer immediately, and also happy halloween! :D

Sincerely,

Jason Ta

The beginner of Brainly and the role of TDSB Student from WHCI.

The value of the expression on evaluation is 96π / 5.

Here we have to find the value of the expression.

∫∫∫x² dV

E is indeed the solid that exists inside the cylinder x² + y² = 4 above the surface z =0.

E's precession through into xy-plane is x² + y² ≤4 where r≤2 with Ф[0, 2π].

∫∫∫ x² dV = ∫\(\int\limits^2\pi _0 {} \, \int\limits^2_0{} \, \int\limits^3r_0\) r² cos² Фrd dФ

             = \(\int\limits^2\pi _0 {} \, \int\limits^2_0 \int\limits^3r_z=0 {} \,\)r³ cos²Ф dz dr dФ

            = \(\int\limits^2\pi _0 {} \, \int\limits^2_0 {} \,\) 3\(r^{4}\)cos²Ф dr dФ

           = 3 \(\int\limits^2\pi _0 {} \,\) 1/2 \(2^{5}\)/ 5 ( 1 + cos² Ф )dr dФ

           = 48 / 5 [( Ф + 1/2 sin 2Ф)\(]^{2\pi } _{0}\)

            = 96π / 5

Therefore the value of the expression is 96π/5.

To know more about the integration refer to the link given below:

https://brainly.com/question/27419605

#SPJ4

Answer:

A

Step-by-step explanation:

Inflation decreases the amount of goods and services that can be purchased with a dollar.

Based on the given responses, the student who factored 20x^6 = (2x)(10x^5) correctly is Andrei. Therefore, the correct answer is (Choice A) Andrei.

Among the given responses, the student who factored 20x^6 = 20, x to the power of 6 correctly is Andrei. Andrei's factorization is (2x)(10x^5), which correctly represents the original term 20x^6. Therefore, the correct answer is (Choice A) Andrei.

Amit's factorization is (4x^3)(5x^3), which is incorrect because it breaks down the term into two factors with the same exponent, while the original term has an exponent of 6.

Andrew's factorization is (20x^2)(x^3), which is also incorrect as it does not accurately represent the original term 20x^6.

Hence, the only student who correctly factored 20x^6 = 20, x to the power of 6 is Andrei.

The right answer is A. Andrei who factored 20x^6 = (2x)(10x^5) correctly.

For more such question on factored  

https://brainly.com/question/43919

#SPJ11

Answer: y=3x

Step-by-step explanation: To find the equation of the line m, which is the image of line t after a dilation with a scale factor of 1/2 centered at the origin, we need to follow these steps:

Rewrite the equation of line t in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

3X - Y = 6

-Y = -3X + 6

Y = 3X - 6

So the slope of line t is 3.

Apply the dilation with a scale factor of 1/2 centered at the origin. This means that every point on line t is multiplied by 1/2 in both the x and y directions. The origin (0,0) remains fixed.

The new coordinates of any point on line t after dilation are given by (1/2x, 1/2y).

Use the new coordinates to find the equation of line m. To do this, we need to find the slope of line m and a point on it.

The slope of line m is the same as the slope of line t, which is 3.

To find a point on line m, we can use the fact that the origin remains fixed after dilation. So the point (0,0) is on line m.

Using the slope-intercept form, y = mx + b, we can write the equation of line m as:

y = 3x + b

To find the value of b, we can use the point (0,0):

0 = 3(0) + b

b = 0

Therefore, the equation of line m is y = 3x.

The Equation of line m is y= 3x - 3.

A scale factor is a number that can be used to adjust the size of any geometrical figure or object in relation to its original size. It's used to draw the enlarged or reduced shape of any given figure, as well as to calculate the missing length, area, or volume of an enlarged or reduced figure. It should be noted that the scale factor only affects the figure's size and not its shape.

We have, Equation of line t

3x - y = 6

Take x= 0 then y = -6 and y= 0 then x = 2.

Now, dilate the coordinates by factor 1/2 as

(0, -3) and (1, 0).

So, the Equation of line m is

(x - 0) / (1- 0) = (y - (-3)) / (0 - (-3))

x/1 = y + 3 / 3

3x = y+ 3

y= 3x - 3

Learn more about scale factor here:

https://brainly.com/question/30215119

#SPJ2

Answer:

g = 33%

Step-by-step explanation:

The values in the ends of the rows are found by adding together.

For the first row, we would add the value in cell AC to the value in AD to get the value in the corresponding column called "Total".  This means we add 20% +g to get 53%;

Subtract 20% from each side

g = 53% - 20%

The given expression that is an example of additive identity is 07+0=7

Additive identity is the property where the sum of any number and zero (0) is equal to the original number.

That is to say, adding zero to any number does not change its value.

Formally, for any real number a, the additive identity property can be expressed as:

a + 0 = a

The given expression that is an example of additive identity is;

07+0=7

This property holds true for all real numbers, integers, fractions, and even complex numbers.

The number 0 acts as the additive identity element in this context. It is called an identity element because it preserves the identity of the number being added to it.

Learn more about additive identity here: https://brainly.com/question/29334973

#SPJ2

Answer:

I think it is 47. iuuuududhrururkejrjri

Step-by-step explanation:

The absolute value function is a well known piecewise function (a function defined by multiple subfunctions) that is described mathematically as

                                 \(f(x) \ = \ |x| \ = \ \left\{\left\begin{array}{ccc}x, \ \text{if} \ x \ \geq \ 0 \\ \\ -x, \ \text{if} \ x \ < \ 0\end{array}\right\}\).

This definition of the absolute function can be explained geometrically to be similar to the straight line   \(\textbf{\textit{y}} \ = \ \textbf{\textit{x}}\)  , however, when the value of x is negative, the range of the function remains positive. In other words, the segment of the line  \(\textbf{\textit{y}} \ = \ \textbf{\textit{x}}\)  where \(\textbf{\textit{x}} \ < \ 0\) (shown as the orange dotted line), the segment of the line is reflected across the x-axis.

First, we simplify the expression.

                                             \(3\left|x \ + \ 1 \right| \ < \ 9 \\ \\ \\\-\hspace{0.2cm} \left|x \ + \ 1 \right| \ < \ 3\).

We, now, can simply visualise the straight line,  \(y \ = \ x \ + \ 1\) , as a line having its y-intercept at the point  \((0, \ 1)\) and its x-intercept at the point \((-1, \ 0)\). Then, imagine that the segment of the line where \(x \ < \ 0\) to be reflected along the x-axis, and you get the graph of the absolute function \(y \ = \ \left|x \ + \ 1 \right|\).

Consider the inequality

                                                    \(\left|x \ + \ 1 \right| \ < \ 3\),

this statement can actually be conceptualise as the question

            \(``\text{For what \textbf{values of \textit{x}} will the absolute function \textbf{be less than 3}}"\).

Algebraically, we can solve this inequality by breaking the function into two different subfunctions (according to the definition above).

                                                \(x \ + \ 1 \ < \ 3 \\ \\ \\ \-\hspace{0.9cm} x \ < \ 3 \ - \ 1 \\ \\ \\ \-\hspace{0.9cm} x \ < \ 2\)

                                            \(-(x \ + \ 1) \ < \ 3 \\ \\ \\ \-\hspace{0.15cm} -x \ - \ 1 \ < \ 3 \\ \\ \\ \-\hspace{1cm} -x \ < \ 3 \ + \ 1 \\ \\ \\ \-\hspace{1cm} -x \ < \ 4 \\ \\ \\ \-\hspace{1.5cm} x \ > \ -4\)

           *remember to flip the inequality sign when multiplying or dividing by

            negative numbers on both sides of the statement.

Therefore, the values of x that satisfy this inequality lie within the interval

                                                     \(-4 \ < \ x \ < \ 2\).

Similarly, on the real number line, the interval is shown below.

The use of open circles (as in the graph) indicates that the interval highlighted on the number line does not include its boundary value (-4 and 2) since the inequality is expressed as "less than", but not "less than or equal to". Contrastingly, close circles (circles that are coloured) show the inclusivity of the boundary values of the inequality.

Answer:

Step-by-step explanation:

Solve the System of Equations

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(−1,7)

Equation Form:

x=−1,y=7

Which number makes this equation true?

The answer is 70.

This applies what is known in math as "Distributive Property of Multiplication"

In fraction form, the answer is 1/4, which represents the simplified probability of the given event occurring.

To find the probability of picking a prime number and then picking another prime number, we first need to determine the total number of possible outcomes and the number of favorable outcomes.

Given the four numbers: 5, 6, 7, and 8, we can see that there are two prime numbers (5 and 7) and two non-prime numbers (6 and 8).

The total number of possible outcomes is 4 since there are four cards to choose from.

Now, let's consider the favorable outcomes, which are picking a prime number and then picking another prime number.

The probability of picking a prime number on the first draw is 2/4, as there are two prime numbers out of the four total cards.

Since we replace the card before the second draw, the probability of picking a prime number on the second draw is also 2/4.

To find the probability of both events occurring, we multiply the individual probabilities:

(2/4) * (2/4) = 4/16 = 1/4

Therefore, the probability of picking a prime number and then picking another prime number is 1/4.

For more such questions on probability

https://brainly.com/question/24756209

#SPJ8

a.) The independent variable is the different types of music

b.) The dependent variable is the impact of listening felt by the rats

c.)An extraneous variable is the length of the maze.

d.) The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.

An independent variable is defined as the type of variable that cannot be manipulated by a researcher and isn't affected by what is being measured.

A dependent variable is the variable that can be manipulated by a researcher and is affected by what is being measured.

For question a.)

The independent variable is the different types of music

For question b.)

The dependent variable is the impact of listening felt by the rats

For question c.)

An extraneous variable is the length of the maze.

For question d.)

The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.

Learn more about dependent variables here:

https://brainly.com/question/30386143

#SPJ1

Answer:

17150 ft²

Step-by-step explanation:

similar rectangles means that the scaling factor from one rectangle to the other is the same for every side. and so the relative ratio of length and width stays the same.

in our case now the 2 widths are 175 feet and 40 feet.

the scaling factor f from small to large is therefore 175/40 = 35/8.

width large = width small × f

length large = length small × f

the area of a rectangle is length × width.

we know the area of the small rectangle (896 ft²).

Asmall = 896 = length small × width small

now the area A of the large rectangle is

A = length large × width large =

= length small × f × width small × f =

= length small × width small × f² = Asmall × f² =

= 896 × (35/8)² = 17150 ft²

Answer:

(- 3, 1.5)

--------------------------

Given system:

The first expression is ready to be substituted as no further operation is required to simplify it.

Find x:

Answer:

a) x* e∧ t/10  =  20 *e∧ t/10 + 2

b) x  =  14,2 gall. In 10 min. we get 14,2 gallons of bleach in the tank

c) After a very long time we will find 20 gallons of bleach in the tank

Step-by-step explanation:

The variation of bleach in water in the tank is Δ(x)t:

Δ(x)t  = [Amount of x added to the tank - Amount of x drain out of the tank]*Δt

Now the amount of x added to the tank is:

Rate of adding* the concentration

Rate of adding =  4 gallons per minute

Concentration  half and half ( water + bleach)  = 0,5

Rate of draining =  4 gallons per minute

Concentration of draining: Unknown but can be expressed as:

x(t)/40. According to this

Δ(x)t  =  [4 * 0,5  -  4 * x(t)/40]*Δt

Dividing by Δt on both sides of the equation and tacking limits we get

dx/ dt    =  2  - x / 10

dx/dt + x/10 =2

Multyiplying by e∧ t/10 on both sides

e∧ t/10* [ dx/dt  +  x/10 ]  =  2 *e∧ t/10

To solve it, integrating the first member is

x* e∧ t/10  =  20 *e∧ t/10 + C

for initial condition t = 0

4    =  20 + C

C = -16

a) x* e∧ t/10  =  20 *e∧ t/10 - 16

b) in 10 minutes

x* e∧ t/10  =  20 *e∧ t/10 - 16

x *e  =  20*e  - 16

x   =   20  -  16/e

x   =  20  -  16/2,718

x   =   20 -  5,88

x  =  14,2  gallons.

c) After a very long time we will find 20 gallons of bleach in the tank

Therefore, the interest portion of the seventh payment is:7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7 - 7,000.

We have the following payments and their corresponding times of payment:At the end of year 1: $1,000At the end of year 2: $2,000At the end of year 3: $3,000At the end of year 4: $4,000At the end of year 5: $5,000At the end of year 6: $6,000At the end of year 7: $7,000

At the end of year 8: $8,000At the end of year 9: $9,000At the end of year 10: $10,000The present value of these payments is:PMT x [(1 - (1 + r)-n) / r]where PMT is the payment, r is the interest rate per year, and n is the number of years till payment.

For the first payment (end of year 1), the present value is:1,000 x [(1 - (1 + r)-1) / r]which equals

1,000 x (1 - 1 / (1 + r)) / r = 1,000 x ((1 + r - 1) / r) = 1,000

For the second payment (end of year 2), the present value is:2,000 x [(1 - (1 + r)-2) / r]which equals 2,000 x (1 - 1 / (1 + r)2) / r = 2,000 x ((1 + r - 1 / (1 + r)2) / r) = 2,000 x (1 + r) / r2

For the seventh payment (end of year 7), the present value is:

7,000 x [(1 - (1 + r)-7) / r]

which equals

7,000 x (1 - 1 / (1 + r)7) / r = 7,000 x ((1 + r - 1 / (1 + r)7) / r) = 7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7

For such more question on corresponding

https://brainly.com/question/11853802

#SPJ8

Answer:

The measure of side FG is 3.

Step-by-step explanation:

Dilation is a process in which the dimensions of a given shape or figure is either increased or decreased by a scale factor to produce its image.

From the given question,

scale factor = 5

measure of side F'G' = 15

Thus,

scale factor = \(\frac{measure of side F'G'}{measure of side FG}\)

side F'G' = scale factor x side FG

⇒ 15 = 5 x side FG

So that,

side FG = \(\frac{15}{5}\)

             = 3

The measure of side FG is 3.

According to the law of exponent, the value of positive exponent is greater than the negative exponent, this defines that they are not equal.

Exponent

Exponent refers the number of times a number is multiplied by itself.

Given,

Here we need to verify that, if  two expressions with exponents are a perfect match except one has a negative exponent and the other has a positive exponent, like 5³ and 5⁻³, then how does the exponent change the meaning of the expression.

According to the following law of the exponent, the positive exponent can be written as,

5³ = 5 x 5 x 5 = 125

Similarly, the negative exponent is written as,

5⁻³ = 1/5³

Which can be simplified as,

1/125 = 0.008

Therefore, when we compare these values, the value of positive exponent is greater than the negative exponent.

Thus, defines that the value of positive and negative exponent are not same.

To know more about Exponent here.

https://brainly.com/question/5497425

#SPJ1

The value of c in the triangle is (b) 5 units

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

The right triangle

The length c is the hypotenuse of one of the triangles and can be calculated using the following Pythagoras theorem

c² = sum of squares of the legs

Using the above as a guide, we have the following:

c² = 3² + 4²

Evaluate

c² = 25

Take the square roots

c = 5

Hence, the hypotenuse of the right triangle is 5

Read more about right triangle at

https://brainly.com/question/2437195

#SPJ1

Answer:

F=95; S=49.

Step-by-step explanation:

Note that when writing similar triangles, the angles correspond. Also note that  in similar triangles, the angle measures remain the same.

In other words, since we know: \(\Delta ABC \sim \Delta DE F\), this means that angles A and D have the same measure, angles B and E have the same measure, and angles C and F have the same measure.

Thus, for #32, We can substitute A=46 and B=39 for D=46 and E=39. We can then find F which equals 180-46-39=95.

Similarly, for #33, we know that R=89 and Z=T=42. Thus, we can find S which equals 180-89-42=49.

Answer:

C = 95

S = 49

Step-by-step explanation:

The sum of the angles of a triangle add to 180

A+ B+ C = 180

46+ 39+ C = 180

C = 180 -46 - 39

C =95

And since the triangles are similar A=D  B = E  C = F

Angle F =C = 95

The sum of the angles of a triangle add to 180

And since the triangles are similar R=X S = Y  T = Z

R+S+T= 180

89+ S+42 = 180

S = 180 -89-42

S =49

S = 49

Answer:

I think this is probably late, but the answer is 4/11.

Step-by-step explanation:

0.36363636363 is the first repeating fraction and 36.36363636 is the second repeating fraction, because you multiply it by 100.

When 0.3636363636363 is multiplied by 100, the decimal moves from in front of the number 36 and moves behind it. So the answer is now 36.36363636

You're suppose to subtract those two minus each other, the denominator

the fraction is technically 36/99, but simplified version is 4/11. So the answer is indeed 4/11.

Thanks for your time!

Step-by-step explanation:

Answer:

:0.36 repeating can be expressed as 36/99

Step-by-step explanation:

0.36 is equal to 36100, but you can simplify it further by dividing 36 and 100 by 4 to get 925