Using the number 98,045,132.706
(a) The digit 8 is in the
place.
(b) The digit 3 is in the
place.

Answer: True.

Step-by-step explanation:

The one-way analysis of variance usually (abbreviated as one-way ANOVA). is a method that is used to compare the means of two or more samples ( by make use of the F distribution). This method only applies to numerical response data, the "Y", usually one variable, and numerical or (usually) categorical input data, the "X", always one variable, hence the reason it’s know as "one-way" beca it takes it account one variae at a time.

Answer:

[tex]\sin 2x = \frac{24}{25}[/tex] , [tex]\cos 2x = \frac{7}{25}[/tex], [tex]\tan 2x = \frac{24}{7}[/tex]

Step-by-step explanation:

The sine, cosine and tangent of a double angle are given by the following trigonometric identities:

[tex]\sin 2x = 2\cdot \sin x \cdot \cos x[/tex]

[tex]\cos 2x = \cos^{2}x -\sin^{2}x[/tex]

[tex]\tan 2x = \frac{2\cdot \tan x}{1-\tan^{2}x}[/tex]

According to the definition of sine function, the ratio is represented by:

[tex]\sin x = \frac{s}{r}[/tex]

Where:

[tex]s[/tex] - Opposite leg, dimensionless.

[tex]r[/tex] - Hypotenuse, dimensionless.

Since [tex]x[/tex], measured in sexagesimal degrees, is in third quadrant, the following relation is known:

[tex]s < 0[/tex] and [tex]y < 0[/tex].

Where [tex]r[/tex] is represented by the Pythagorean identity:

[tex]r = \sqrt{s^{2}+y^{2}}[/tex]

The magnitude of [tex]y[/tex] is found by means the Pythagorean expression:

[tex]r^{2} = s^{2}+y^{2}[/tex]

[tex]y^{2} = r^{2}-s^{2}[/tex]

[tex]y = \sqrt{r^{2}-s^{2}}[/tex]

Where [tex]y[/tex] is the adjacent leg, dimensionless.

If [tex]s = -3[/tex] and [tex]r = 5[/tex], the value of [tex]y[/tex] is:

[tex]y = \sqrt{(5^{2})-(-3)^{2}}[/tex]

[tex]y = -4[/tex]

Then, the definitions for cosine and tangent of x are, respectively:

[tex]\cos x = \frac{y}{r}[/tex]

[tex]\tan x = \frac{s}{y}[/tex]

If [tex]s = -3[/tex], [tex]y = -4[/tex] and [tex]r = 5[/tex], the values for each identity are, respectively:

[tex]\cos x = -\frac{4}{5}[/tex] and [tex]\tan x = \frac{3}{4}[/tex].

Now, the value for each double angle identity are obtained below:

[tex]\sin 2x = 2\cdot \left(-\frac{3}{5} \right)\cdot \left(-\frac{4}{5} \right)[/tex]

[tex]\sin 2x = \frac{24}{25}[/tex]

[tex]\cos 2x = \left(-\frac{4}{5} \right)^{2}-\left(-\frac{3}{5} \right)^{2}[/tex]

[tex]\cos 2x = \frac{7}{25}[/tex]

[tex]\tan 2x = \frac{2\cdot \left(\frac{3}{4} \right)}{1-\left(\frac{3}{4} \right)^{2}}[/tex]

[tex]\tan 2x = \frac{24}{7}[/tex]

Answer:

  1 : 50,000,000

Step-by-step explanation:

The given scale (with units) is ...

  1 mm : 50 km

If we convert both units to meters, so we can give the scale as a pure number, then we have ...

  10^-3 m : 5×10^4 m = 1 : 5×10^7 = 1 : 50,000,000

Answer:

Values of k can be 0, 1, or 2 such that intersection of the given lines lie in the 1st quadrant.

Step-by-step explanation:

Given two lines:

[tex]x=2k[/tex] and

[tex]3x+2y=12[/tex]

To find:

Values of 'k' such that the intersection of given two lines lie in the first quadrant.

Solution:

In 1st quadrant, the values of [tex]x[/tex] and [tex]y[/tex] both are positive.

So, let us find out intersection of the two lines.

Intersection of the two lines can be found by solving the two equations for the values of [tex]x[/tex] and [tex]y[/tex].

Given that [tex]x=2k[/tex] to be in the first quadrant, the value of k must be positive.

Let us put [tex]x=2k[/tex] in the equation [tex]3x+2y=12[/tex] to find the intersection point.

[tex]3 \times 2k + 2y=12\\\Rightarrow 6k+2y=12\\\Rightarrow 2y=12-6k\\\Rightarrow \bold{y=6-3k}[/tex]

For y to be positive:

[tex]6 - 3k \geq 0\\\Rightarrow 3k \leq 6\\\Rightarrow k \leq 2[/tex]

So, values of k can be 0, 1, or 2 such that intersection of the given lines lie in the 1st quadrant.

Hello, please consider the following.

x is obviously different from 0 and then, dividing by x is legit.

For the first 105 miles the speed is x, so the time spent is

[tex]\dfrac{105}{x}[/tex]

For the second part, the speed is 1.4 x, so the time spent is

[tex]\dfrac{105}{1.4x}=\dfrac{75}{x}[/tex]

In total, the time she spent driving is

[tex]\dfrac{105}{x}+\dfrac{75}{x}\large \boxed{=\dfrac{180}{x}}[/tex]

Thank you.

Answer: D) 2

the value for the missing mean would result in no main effect for Factor A is 2

Step-by-step explanation:

Given that;

              B1             B2

A1            6               8          

B1            12               ?

To find the missing mean;

lets missing mean be x

Here mean of A1

( 6 + 8 ) / 2 = 14 / 2 = 7  

Now mean of A2

(12 + x ) / 2 = 7

x + 12 = 14\x = 14 -12 = 2

Therefore the value for the missing mean would result in no main effect for Factor A is 2

so option d) is the correct answer

Answer:

b

Step-by-step explanation:

Answer:

12+40= 52

180-52=128

Step-by-step explanation:

Angles in a triangle add up to 180

so if two sides are given , they must be added and subtracted from 180.

which gives us 180-52=128

Answer:

the angle is 128°

the right answer is C

Step-by-step explanation:

the angles of a triangle are always 180°

thus

the angle of the the triangle = 180° - (12°+40°)

= 180- 52° = 128°

Answer:

14 elliptical machines

Step-by-step explanation:

t = # of treadmills

e = # of elliptical machines

t + e = 38

t = e + 10

Substitute:

e + 10 + e = 38

2e = 28

e = 14

Answer:

Once we got

[tex]x=-1[/tex]

[tex]y=3[/tex]

[tex]z=2[/tex]

[tex]\boxed{\text{The sum is 4}}[/tex]

Step-by-step explanation:

Given the linear system:

[tex]\begin{cases} 2x + 3y-z = 5 \\ x- 3y + 2z = -6 \\ 3x + y - 4z = -8 \end{cases}[/tex]

Let's solve it using matrices. I will use Cramer's rule

[tex]M=\left[\begin{array}{ccc}2&3&-1\\1&-3&2\\3&1&-4\end{array}\right][/tex]

Considering determinant as D.

[tex]D=\begin{vmatrix}2&3&-1\\1&-3&2\\3&1&-4\\\end{vmatrix}=40[/tex]

[tex]M_x = \left[\begin{array}{ccc}5&3&-1\\-6&-3&2\\-8&1&-4\end{array}\right] \implies D_x = \begin{vmatrix}5&3&-1\\-6&-3&2\\-8&1&-4\\\end{vmatrix}=-40[/tex]

[tex]M_y = \left[\begin{array}{ccc}2&5&-1\\1&-6&2\\3&-8&-4\end{array}\right] \implies D_y = \begin{vmatrix}2&5&-1\\1&-6&2\\3&-8&-4\\\end{vmatrix}=120[/tex]

[tex]M_z = \left[\begin{array}{ccc}2&3&5\\1&-3&-6\\3&1&-8\end{array}\right] \implies D_z= \begin{vmatrix}2&3&5\\1&-3&-6\\3&1&-8\\\end{vmatrix}=80[/tex]

So, we have

[tex]$x=\frac{D_x}{D} =\frac{-40}{40}=-1 $[/tex]

[tex]$y=\frac{D_y}{D} =\frac{120}{40}=3$[/tex]

[tex]$z=\frac{D_z}{D} =\frac{80}{40}=2 $[/tex]

Answer:

7 seconds

Step-by-step explanation:

The radius of a sphere-shaped balloon increases at a rate of 2 centimeters (cm) per second.

surface area of the completely inflated balloon is 784 cm²

SA=4r²

784= 4r²

784/4= r²

196 = r²

14cm = r

Yhe radius of the complete inflated balloon is 14cm

If the ball inflate at the rate of 2 cm per seconds

Then it took 14/2 = 7 seconds to inflate fully

Answer:

2 (x^3 - x^2 + 2 x + 1)

Step-by-step explanation:

Simplify the following:

-(2 x^2 - 3 x^3 + 1) - x^3 + 4 x + 3

Factor -1 out of -3 x^3 + 2 x^2 + 1:

--(3 x^3 - 2 x^2 - 1) - x^3 + 4 x + 3

(-1)^2 = 1:

3 x^3 - 2 x^2 - 1 - x^3 + 4 x + 3

Grouping like terms, 3 x^3 - x^3 - 2 x^2 + 4 x - 1 + 3 = (-x^3 + 3 x^3) - 2 x^2 + 4 x + (3 - 1):

(-x^3 + 3 x^3) - 2 x^2 + 4 x + (3 - 1)

3 x^3 - x^3 = 2 x^3:

2 x^3 - 2 x^2 + 4 x + (3 - 1)

3 - 1 = 2:

2 x^3 - 2 x^2 + 4 x + 2

Factor 2 out of 2 x^3 - 2 x^2 + 4 x + 2:

Answer: 2 (x^3 - x^2 + 2 x + 1)

Answer:

Step-by-step explanation:

4x - x^3 + 3 - 2x^2 + 3x^3 - 1

2x^3 - 2x^2 + 4x + 2 is the solution

Answer:

  [tex]1-\dfrac{2}{3}\sqrt{3}[/tex]

Step-by-step explanation:

Maybe you want to simplify ...

  [tex](1-\sqrt{3})\dfrac{1}{3+\sqrt{3}}[/tex]

Multiply numerator and denominator by the 'conjugate' of the denominator:

  [tex](1-\sqrt{3})\dfrac{1}{3+\sqrt{3}}\cdot\dfrac{3-\sqrt{3}}{3-\sqrt{3}}=\dfrac{(1-\sqrt{3})(3-\sqrt{3})}{9-3}=\dfrac{3-4\sqrt{3}+3}{6}\\\\\boxed{1-\dfrac{2}{3}\sqrt{3}}[/tex]

Answer:

3x + 5

Step-by-step explanation:

We are doing variables and simplifying.

You have two types of numbers here, you have a coefficient, and you have regular numbers. Now do keep in mind that you can never add a regular number to a coefficient. So the only thing in this problem you will add is 3 and 2. Because 3x is different

3x + (3 + 2)

3x + 5

The simplified form of the expression is 3x + 5.

Option A is the correct answer.

We have,

Expression:

3x + 3 + 2

Add like terms.

3x + (3 + 2)

3x + 5

This is the simplest simplified form of the expression.

Thus,

The simplified form of the expression is 3x + 5.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ6

Answer:oufonsrgonsrgnrsosgnsogwo0on93rhskgv oaoef

Step-by-step explanation:

iaeiuaefiaef ebf efa fcade emma jog 123e oefofoinsfnfsaefosefnhsfnalnfaogh

Use the divergence theorem,

[tex]\displaystyle\iint_{\partial\sigma}\mathbf F(x,y,z)\cdot\mathrm d\mathbf S=\iiint_\sigma\mathrm{div}\mathbf F(x,y,z)\,\mathrm dV[/tex]

We have

[tex]\mathrm{div}\mathbf F(x,y,z)=\dfrac{\partial(3x)}{\partial x}+\dfrac{\partial(2y)}{\partial y}+\dfrac{\partial0}{\partial z}=5[/tex]

so that the flux across [tex]\sigma[/tex] is equal to 5 times the volume of the cube. The cube itself has edge length 5, so its volume is [tex]5^3=125[/tex], making the flux [tex]5^4=\boxed{625}[/tex].

Answer:

See Explanation

Step-by-step explanation:

The question required attachment; however, follow the following steps to answer your question.

See Attachment

Considering the horizontal plane of the gird.

Count the number of the squares in that plane;

This gives 4

Multiply 4 by length of each side of a square;

[tex]Perimeter = 8mm * 4[/tex]

[tex]Perimeter = 32mm[/tex]

Answer:

soln,

y=37/100×x

or, 100y=37x.....is the answer

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The equation of y is 37% of x is

y = 0.37x

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example:

2 + 3x + 4y = 7 is an expression.

2 + 3 - 4 is an expression.

2x4 + 4x = 4 is an expression.

We have,

y is 37% of x.

This can be written as,

y = 37/100 of x

y = 0.37x

Thus,

The equation of y is 37% of x is

y = 0.37x

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Answer:

The area of the circle is:

[tex]3.14\, *\,2^2 \,\,in^2[/tex]

Step-by-step explanation:

If the diameter of the circle is 4 inches, then its radius is half of that (that is 2 inches), and we can use the formula for the area of a circle:

[tex]Area=\pi\,R^2\\Area= \pi\,(2\,\,in)^2\\Area=3.14\,(4)\,in^2[/tex]

The area of the circle is : [tex]3.14\, *\,2^2 \,\,in^2[/tex]

Answer:

58.33

Step-by-step explanation:

35 isn't exactly 60% of an number but by rounding you will get 58.33

Answer: 2/3

Step-by-step explanation:

Answer: 2/3

Step-by-step explanation:It can sometimes be difficult to divide fractions, such as 1/4 divided by 3/8. When we divide two fractions, such as 1/4 ÷ 3/8, we flip the second fraction and then we simply multiply the numerators with each other and the denominator with each other.

Answer:

The first blank is 6.

The second blank is 7.

Step-by-step explanation:

The square root of 41 is between 6 and 7.

6 square is 36

7 square is 49.

So, the square root of 41 should be between 6 and 7.

The first blank is 6.

The second blank is 7.

Answer:

28th floor........

Step-by-step explanation:

...

Answer:

28

Step-by-step explanation:

current position: 9

down 4 floors: 9-4 = 5

up 7 floors: 5+7 = 12

up 8 floors: 12+8 = 20

up 8 floors: 20+8 = 28

Answer:

Distance= 1

Step-by-step explanation:

Distance be points using polar coordinates

Distance= √(8² +9² -2(8)(9)cos(0.2-1.7)

Distance=√(64 + 81-(144)cos(-1.5))

Distance= √(145-143.9506)

Distance=√ 1.0493

Distance= 1.0243

Distance= 1

Answer:

mark it as brainlist plzz

Answer:

Step-by-step explanation:

The formula for calculating the margin of error is expressed as shown;

Margin of error = Z * S/√n

Z is the z-score at 95% confidence interval = 1.96

S is the standard deviation = 50

n is the sample size = 100

Substituting this values into the formula above;

Margin of error = 1.96 * 50/√100

Margin of error = 1.96 * 50/10

Margin of error = 1.96 * 5

Margin of error = 9.8

Hence the margin of error is 9.8

Answer:

11 years old

Step-by-step explanation:

Because the dog is 4 years older, add 7+4

Answer: $130.66

Step-by-step explanation:

Answer:

130.66

Step-by-step explanation:

i took the asignment

Answer:

0.412

Step-by-step explanation:

Given the stem plot figure out which ones are below 17g.

So: 7g / 17g = 0.412 which is the proportion

Answer: 0

============================================

Explanation:

When we multiply 0 by any number, we get 0 as a result

x*0 = 0

0*x = 0

for any number x.

The number 0 is rational since we can write it as a fraction of two integers

0 = 0/1

If Daniel were to correct his statement to say "multiply by any nonzero rational number", then his statement would be correct that the result is irrational.

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

Extra info:

Here's a proof showing why Daniel's claim is correct if we consider nonzero rational numbers

Let p be a nonzero rational number, so p = a/b for integers a,b where neither a or b are zero

Let q be an irrational number. We cannot write q as a ratio of two integers

The claim is that p*q is irrational. For now let's assume the opposite. So assume p*q is rational. This means p*q = r/s for integers r,s

This would be the same as (a/b)*q = r/s which solves to q = (r/s)*(b/a) = (rb)/(sa) making q rational, but that contradicts the fact we made q irrational earlier.

Therefore, the assumption p*q is rational cannot be the case, and p*q must be irrational.