the expression \sqrt{3x} is equivalent to the expression x\sqrt{3}
A.True
B.False

4. There are no data for prices other than integer values in the range $11 to $16. For example, there is no data for a price of $11.50, or for a price of $17.

5. insufficient information

find the perimeter of a triangle with sides 15 inches, 15 inches, and 21 inches length

To find the perimeter of a triangle we add all the sides of the triangle

The length of the sides of the triangle are given as 15 inches, 15 inches, and 21 inches

Perimeter of a triangle =

15 inches + 15 inches +   21 inches = 51 inches

So 51 inches is the perimeter

The value p is an upper bound on the real roots of the polynomial if division of the polynomial by (x-p) results in quotient terms that all have positive coefficients.

The value q is a lower bound on the real roots of the polynomial if division of the polynomial by (x-q) results in quotient terms that alternate signs.

_____

The division can be either synthetic division or long division.

_____ ______

An upper bound on the magnitude of the roots can be found this way:

There are various refinements, including finding the sum of the ratios of successive coefficients, or taking increasing roots of the ratios found above, then doubling the maximum of those.

Use synthetic division to find the values of the polynomial function for consecutive integers. An integer that produces no sign change in the quotient and the remainder is an upper bound. To find a lower bound of a function, find an upper bound for the function of -x. The lower bound is the negative of the upper bound for the function of -x.

That is the right answer as I just finished the 10 practice problems on E2020

we are given

A ball rolling down a hill was displaced 19.6 m

so,

[tex]h=19.6m[/tex]

the final velocity was 5.00m/s

so, [tex]v=5m/s[/tex]

Since, a ball rolling down a hill was displaced

so, we get

[tex]u=0m/s[/tex]

we can use kinematic equation formula

[tex]v^2-u^2=2ah[/tex]

Here ,

v is final velocity

u is initial velocity

a is acceleration

h is height from which ball is dropped

now, we can plug our values

[tex]5^2-0^2=2a(19.6)[/tex]

[tex]2a\left(19.6\right)=5^2[/tex]

[tex]2a\left(19.6\right)=25[/tex]

[tex]a=0.63776m/s^2[/tex]................Answer

Using the equation of Motion, the rate of acceleration of the ball is 0.638 m/s²

Using the 2nd equation of Motion :

v² = u² - 2gh (downward motion)

5² = 0 - 2(19.6)a

25 = 0 - 39.2a

39.2a = 25

a = 25/39.2

a = 0.638 m/s²

Therefore, the rate of acceleration is 0.638 m/s²

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x = 4 is the solution

given [tex]\sqrt{x+12}[/tex] = x ( square both sides )

x + 12 = x² ( rearrange into standard form )

x² - x - 12 = 0 ← in standard form

(x - 4 )(x + 3 ) = 0 ← in factored form

equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x + 3 = 0 ⇒ x = - 3

substitute these values into the original equation and if both sides are equal then they are the solutions

x = 4 : [tex]\sqrt{4+12}[/tex] = [tex]\sqrt{16}[/tex] = 4 = x ← correct

x = - 3 : [tex]\sqrt{-3+12}[/tex] = [tex]\sqrt{9}[/tex] = 3 ≠ - 3 ← false

the solution is x = 4

Answer: x= 4

Step-by-step explanation:

I don't like algebra masquerading as geometry.  Algebra and geometry are connected in interesting ways, but this is boring.

It just says the two little angles add to the big angle,

(2x + 6) + (10x - 5) = 73

Solving,

12x + 1 = 73

12x = 72

x = 6

SQR = 2x+6 = 18 degrees

PQR = 10x -5 = 55 degrees

n = 4.06

isolate the term in n by subtracting 11.57 from both sides of the equation

- n = 7.51 - 11.57 = - 4.06

multiply both sides by - 1

n = 4.06

Answer:

1887

Step-by-step explanation:

You can do this by putting the value -5 where x is in the expression, using synthetic division, or letting a calculator evaluate the function. (Likely a calculator is involved, regardless.)

Shown in the attachments are a couple of these methods.

The answer is D. because they are the same shape and have the same dimensions.

The solution is Option A.) D

What is Translation?

A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.

Given data ,

From the given figure , we can see that only figure represents the same exact figure as per the pre-image

Now , a translation moves a figure only up , down or from side to side

The figure in the image is only translated by a scale factor and no other changes are happening or no other transformations occur.

So , it is clear from the options that the image D is the only possible outcome where a translation of the shaded figure takes place.

Hence , the solution is figure D

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Answer:

0.25

Step-by-step explanation:

we have to use the following formula here-

[tex]a^{-m}= \frac{1}{a^{m}}[/tex]

Now, here we get,

[tex]2^{-2}[/tex]

So, applying the formula we get

[tex]2^{-2}= \frac{1}{2^{2}}= \frac{1}{4} =0.25[/tex]

So, the answer is     0.25

[tex]2^{-2}[/tex] = [tex]\frac{1}{4}[/tex]

using the law of exponents

[tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{}a^{m}[/tex]

[tex]2^{-2}[/tex] = [tex]\frac{1}{}2^{2}[/tex] = [tex]\frac{1}{4}[/tex]

$5 + $5 = $10

Terence owes both his parents a total of $10

Hope this helps you

-AaronWiseIsBae

N=(1/6)rm

Solve for r

[tex]N = \frac{1}{6} rm[/tex]

[tex]N = \frac{1}{6}*r*m[/tex]

To remove the fraction 1/6, we multiply both side by reciprocal 6/1

[tex]N\frac{6}{1}= \frac{1}{6}*r*m\frac{6}{1}[/tex]

6N = rm

Now divide by m on both sides

[tex]\frac{6N}{m}= \frac{r}{m}[/tex]

[tex]\frac{6N}{m}= r[/tex]

We solved for r

[tex]r = \frac{6N}{m}[/tex]

Answer:

r = [tex]\frac{6N}{m}[/tex]

Step-by-step explanation:

Given an equation in terms of N on the left side and r, m variables on the right side.

Instead of N on left side we have to bring r on left side alone and other terms on right side to get formula for r.

For this multiply the given equation first by 6.

6N = rm

Now divide by m

r = [tex]\frac{6N}{m}[/tex]

This is the formula for r in terms of N, m.

Answer:

a) (x, y, z) = (1, -1, 0)

b) a = 0; L = {t, t, 0}

c) a = 1 . . or . . a = 3

d) No

Step-by-step explanation:

a) The solution using row-reduction techniques is shown in the first attachment, part (a). The generic solution is shown evaluated for a=2, the result being (1, -1, 0).

You will note that the solution gives indeterminate values for a=1 and a=3, which make the denominators zero.

b) For this, we use the point solution of part (a) together with the cross product of the normal vectors of planes 1 and 2. Said cross product will be in the direction of their line of intersection. We substitute the parametric equation for that line into the equation for plane 3 and solve for a. The result is a = 0.

The simplification of the resulting equation also gives a=1 and a=3, but we treat those as extraneous solutions because the corresponding common point of intersection of the planes does not exist.

c) The values a = 1 and a = 3 were found in part (a). These are values of a that make the common point indeterminate.

d) Substituting the given values for (x, y, z) gives three equations for a that have 3 different solutions. Hence there cannot be a value of a that makes this be a common point of intersection.

e) The second attachment illustrates part (a), with a=2. The third attachment illustrates part (b) with a=0.

The fourth attachment illustrates part (c). The first picture has the triangular tunnel between the planes in a vertical orientation (a=1). The second picture has the triangular tunnel extending from lower front to upper back (a=3).

Remark

On the right, the deposits will build up and the river will have trouble depositing more material and still follow the path it is on. Eventually the river will want to take a short cut across the narrowest part or the neck.

Usually during flooding the water will cut across the narrowest part and an oxbow lake is formed. I think you are intended to answer B, but 50 years may not be enough time in which case D is the answer.

If you have notes on this event, find out what they say. I will choose B, but if you agree don't be surprised if it is D.

Answer:

[tex]12a^{3}-15a^{2}+36a[/tex]

Step-by-step explanation:

To solve this problem you must apply the procccedure shown below:

1. You have the following expression:

[tex]3a(4a^{2}-5a+12)[/tex]

2. Then, you must apply the Distributive property. In other words, you need to multiply [tex]3a[/tex] by each term inside the parentheses.

3. You need to remember the properties of exponents. When you have equal base, you only need to multiply the coefficients, write the base and add the exponents. Therefore, you have:

[tex]3a(4a^{2}-5a+12)=12a^{(2+1)}-15a^{(1+1)}+36a=12a^{3}-15a^{2}+36a[/tex]

Answer:

286.1 people per mile^2

Step-by-step explanation:

there are 11.69 million people in ohio

and ohio is 44,825 mi^2

so if you do 11.69 million / 44,825 = 268.1

Population density is calculated by dividing the population of an area by its size. The actual population density of Ohio can vary from estimates due to factors like population changes and migration. Researchers use various methods to calculate population size and density, especially for large areas.

The subject of this question deals with population density, which in the context of geography, refers to the number of people per unit of area. To calculate the population density of Ohio, you would need to first find the actual area of Ohio, and then find the actual population of Ohio. Once you have these two pieces of information, you can calculate the population density by dividing the population by the area. The difference between your initial estimate and the actual population density could be due to various factors, such as fluctuations in population size, migration patterns, or changes in the area's ">demographic data.

Population size can often be estimated using life tables, but this can be a complex process. A straightforward way to estimate population size is to count all the inhabitants in a certain area. However, for large areas like Ohio, this isn't always feasible, which is why researchers often use other methods or statistics to make these estimations. Understanding how population densities are calculated and how they can vary is important in fields like urban planning, sociology, and environmental science.

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Algebraic is your answer

In a numerical fraction, there can only be numbers and the operation that is connected with the numbers

In an Algebraic fraction, not only can you have numbers and operation, you can also have variables.

~Rise Above the Ordinary, Senpai

Answer:

x intercept is the point (0.3, 0)

Step-by-step explanation:

Just read it off the graph The line passes through the horizontal x axis halfway between 0.2 and 0.4  which is  0.3. Here x = 0.3 and y = 0.

the x-intercept is the point where the line crosses the x- axis.

From the graph this is where x = 0.3 or (o.3, 0 )

It is -1, at least thats what i got i hope this helped

The slope of a line can be found, given two points, as follows:

[tex]P_{1}(-5.5,6.1) \\ \\ P_{2}(-2.5,3.1) \\ \\ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ m=\frac{3.1-6.1}{-2.5-(-5.5)}=-1[/tex]

So this slope tells us the direction of a line and represents the vertical change divided by the horizontal change.

d because 0.7 is larger than 0.007

27 games were lost

fraction of games lost = 1 - [tex]\frac{5}{14}[/tex] = [tex]\frac{14}{14}[/tex] - [tex]\frac{5}{14}[/tex] = [tex]\frac{9}{14}[/tex]

number of games lost = [tex]\frac{9}{14}[/tex] of 42

                                     = [tex]\frac{9}{14}[/tex]× 42 = 27

The team played 42 games and won 5/14 of them, which equals 15 games. Subtracting the number of games won from the total number of games played gives the total number of games lost, which is 27.

The team played 42 games and won 5/14 of them. To find out how many games were lost, we first have to find out how many they won. 5/14 of 42 games is 15 games. So, they won 15 games. Now, to find out how many games were lost, we need to subtract the number of games won (15 games) from the total number of games played (42 games). Therefore, 42 games - 15 games = 27 games. So, the team lost 27 games.

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Part--1:

We know that a equation in point-slope form is represented by:

               [tex]y-y_1=m(x-x_1)[/tex]

where m is the slope of the line and [tex](x_,y_1)[/tex] is a point through which the line passes.  

  Consider a equation in a point-slope form as:

           [tex]y-5=2(x-1)[/tex]

This means that the slope of the line is: 5

and the line  passes through the point (1,5).

Part--2:

Now as we know that if a line has a slope as m then the perpendicular line has a slope: -1/m

Since,

[tex]m\times \text{Slope\ of\ second\ line}=-1\\\\i.e.\\\\\text{Slope\ of\ second\ line}=\dfrac{-1}{m}[/tex]

Let this perpendicular line passes through (2,6)

Hence, the equation of a line in point slope form is given by:

             [tex]y-6=\dfrac{-1}{2}(x-2)[/tex]

Answer:

Equation:

y-y1=m(x-x1)

y-2=4(x-1)

Part 2:

y=-1/4x +b

Step-by-step explanation:

The total volume of water that the bucket and jar hold together is found by adding the liters the bucket holds (c) and the liters the jar holds more than the bucket (d). Therefore, the expression for total volume is c + d.

The subject of the question is simple addition in Mathematics. To solve this, we need to add the liters of water the bucket holds (represented by c) and the liters of water the jar holds (represented by d liters more than the bucket). On this basis, the equation is as follows: total liters = c + (c + d).

However, as the question states that the jar holds d liters more than the bucket, not that it holds d liters more than the total amount in the bucket, the correct equation to find out the total volume of water in both the bucket and the jar together is: total liters = c + d.

So, if the bucket holds 5 liters of water (c=5) and the jar holds 2 liters more (d=2), then together, they hold 5 + 2 = 7 liters of water.

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Answer:

The equation that can be used to solve for a is 1 = a(0=1)²-3.

Explanation:

In this case, I would model the parabola in vertex form.  Vertex form is y = a(x-h)²+k, where (h,k) is the vertex of the parabola.  Using the information from the question, we can plug in values to get 1 = a(0+1)²-3.  (This could be simplified as 1 = a(1)²-3 ⇒ 1 = a-3 ⇒ a = 4, but we are only interested in finding the equation that can solve for a.)

Answer:

The correct answer is A, 1 = a(0 + 1)^2 – 3

Step-by-step explanation:

The verified guy made a typo, putting = instead of + :P

The commutative property is a property of addition, not of subtraction. It can work in a subtraction problem if you keep the sign with the number, so you're adding positive and negative numbers.

3 - 6 + 5

= (3) + (-6) + (5)

= (3) + (5) + (-6)

= 3 + 5 - 6

70 m * .54=37.8 METERS

700,000,000 = 7.00E8 bytes of data.  Then, 2 such cd's will hold 2(7.00E8 bytes of data) = 1.4E9 byes of data (answer)

3x/6 +1 = 7

Subtract 1 from each side:

3x/6 = 6

Multiply both sides by 6:

3x = 36

Divide both sides by 3:

X = 36 / 3

X = 12

x = 12

given [tex]\frac{3x}{6}[/tex] + 1 = 7 ( subtract 1 from both sides )

[tex]\frac{3x}{6}[/tex] = 6 ( multiply both sides by 6 )

3x = 36 ( divide both sides by 3 )

x = 12