Solve for x
3/4x = -9

Answer:

3 x^2 - x + -1

Step-by-step explanation:

Simplify the following:

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

Factor -1 out of -2 x^2 + 4 x - 3:

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

(-1)^2 = 1:

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

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

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

x^2 + 2 x^2 = 3 x^2:

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

3 x - 4 x = -x:

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

3 - 4 = -1:

Answer: 3 x^2 - x + -1

Answer:

[tex]\huge \boxed{m=12}[/tex]

Step-by-step explanation:

[tex]m+-12=0[/tex]

[tex]\sf Add \ 12 \ to \ both \ sides.[/tex]

[tex]m+-12+12=0+12[/tex]

[tex]m=12[/tex]

Answer:

w=5000+0.7s

Step-by-step explanation:

please give 5 star I need it

Answer:

-i

Step-by-step explanation:

[tex]\sqrt{-1}[/tex] * [tex]\sqrt{-1}[/tex] * [tex]\sqrt{-1}[/tex] = -i

Answer:

The  probability is   [tex]P(X < 3) = P(X \le 3-1 = 2 ) = 0.8074[/tex]        

Step-by-step explanation:

From the question we are told that

   The  probability of a tornado is [tex]p = 0.11[/tex]

    The sample  size is  [tex]n = 14[/tex]

Since the number of tornadoes in any calendar year is independent of the number of tornadoes in any other calendar year and  there can be  only  outcome so we can evaluate probability using binomial distribution.

The probability of a tornado not occurring is mathematically evaluated

         [tex]q = 1 - p[/tex]

=>      [tex]q = 1 - 0.11[/tex]

=>      [tex]q = 0.89[/tex]

The probability that there are fewer than 3 tornadoes in a 14-year period is mathematically represented as

      [tex]P(X < 3) = P(X \le 3-1 = 2 ) = \left n } \atop {}} \right. C_2 * p ^2 q^{n- 2 } + \left n } \atop {}} \right. C_1 * p ^1 q^{n- 1 } + \left n } \atop {}} \right. C_0 * p ^r q^{n- 0 }[/tex]

      [tex]P(X < 3) = P(X \le 3-1 = 2 ) = \left 14 } \atop {}} \right. C_2 * (0.11) ^2 (0.89)^{14- 2 } + \left 14 } \atop {}} \right. C_1 * (0.11) ^1 (0.89)^{14- 1 } + \left 14 } \atop {}} \right. C_0 * (0.11) ^0 (0.89)^{14- 0 }[/tex]

       [tex]P(X < 3) = P(X \le 3-1 = 2 ) = 91 * 0.0121*0.247 + 14 * 0.11*0.2198 + 1 * 1 * 0.197[/tex]

[tex]P(X < 3) = P(X \le 3-1 = 2 ) = 0.8074[/tex]        

Answer:

7. 4^2 = 6

8. 7^2 = 49

9. 6^4 =1296

10. 1^2 = 1

11. 5^3 =125

12. 1^3 =1

Step-by-step explanation:

Answer:

= 7x² + 5x - 9

Step-by-step explanation:

(9x + 1) - (-7x² + 4x + 10)

= 9x + 1 - ( -7x² + 4x + 10)

= 9x + 1 + 7x² - 4x - 10

= 7x² + 5x - 9

Equation for the monthly wage will be → W = 0.07S + 5000

   Given in the question,

Let the total sales of a month = $S

Therefore, commission on this sale = 7% of $S

                                                            = $0.07S

Salary of the month = $5000

Total earnings (W) of the sales person = $(0.07S + 5000)

     Therefore, equation for the monthly wage will be,

W = 0.07S + 5000

Learn more,

https://brainly.com/question/25362379

Answer:  see proof below

Step-by-step explanation:

  Statement                      Reason

1. YO = NZ                      1. Given

2. OZ = OZ                     2. Reflexive Property

3. YO + OZ = YZ             3. Segment Addition Property

   NZ + OZ = NO

4. YO + OZ = NZ + OZ    4. Addition Property

5.  YZ = NO                     5. Substitution

6. ∠M ≅ ∠X                      6. Given

7. ∠N ≅ ∠Y                       7. Given

8. ΔMNO ≅ ΔXYZ           8. AAS Congruency Theorem

Step-by-step explanation:

Hope it helps u please mark it as brainlist

Answer:

a = 10

b = 2.5

Step-by-step explanation:

The given vector is

<-1, 4>

Let [tex]\vec A[/tex] represents <-1, 4>.

First, the dilation is done by a factor of 2.5.

If the dilation of a vector <[tex]x_1[/tex], [tex]x_2[/tex]> is done by a factor k:

Then the resulting vector becomes:

[tex]<kx_1, kx_2>[/tex]

The resulting [tex]\vec B[/tex] as per above explanation:

[tex]<2.5\times -1, 2.5\times 4> \Rightarrow \vec B \bold{<-2.5, 10 > }[/tex]

Now, it is given that the vector is rotated by [tex]\frac{\pi}{2}[/tex] or [tex]90^\circ[/tex].

The steps to find the resulting vector after the rotation of [tex]\frac{\pi}{2}[/tex] or [tex]90^\circ[/tex], we can use the simple method:

Step 1:  Multiply the [tex]x[/tex] value with -1.

i.e. the vector now becomes <2.5, 10> (Negative sign of x value removed).

Step 2: Swap the values of [tex]x[/tex] and [tex]y[/tex].

So, the resulting vector is:

<10, 2.5>

In other form, we can represent the above vector as:

[tex]\left[\begin{array}{c}10&2.5\end{array}\right][/tex]

Comparing with [tex]\left[\begin{array}{c}a&b\end{array}\right][/tex]

a = 10

b = 2.5

Answer:

The correct answer is -10 and -2.5

Step-by-step explanation:

Plato

Answer:

A. The F statistic increases as the differences among the sample means for the exercise groups increase.

C. The F statistic has 3 degrees of freedom in the numerator and 35 degrees of freedom in the denominator.

F. The F statistic is 9.2242.

Step-by-step explanation:

Given that

Observations                     Samples                             Total

40-49             10       11              9         9                        39

The degrees of freedom is given by

For numerator= k-1 = 4-1=3

For denominator= n-k= 39-4= 35

F statistic is given by

F= MS between/ MS within

=11.632991 / 1.261143 = 9.2242

Where

Mean Square Between = MS between = 11.632991

Mean Square Within = MS within = 1.261143

Hence the correct choices are  A, C and F

A. The F statistic increases as the differences among the sample means for the exercise groups increase.

C. The F statistic has 3 degrees of freedom in the numerator and 35 degrees of freedom in the denominator.

F. The F statistic is 9.2242.

Suppose we have

Mean Square Between = MS between = 18.632991

Mean Square Within = MS within = 1.261143

Then F statistic would be = 14.77468 > 9.2242

which tells that The F statistic increases as the differences among the sample means for the exercise groups increase.

Answer:

Step-by-step explanation:

f(x) = x² - 4x

g(x) = 2x – 3

To find f(g(4)) we must first find f(g(x))

To find f(g(x)) substitute g(x) into f(x) that's for every x in f(x) replace it with g (x)

That's

We have

Now to find f(g(4)) substitute the value of x that's 4 into f(g(x)) that's replace every x in f(g(x)) by 4

We have

We have the final answer as

Hope this helps you

Answer:

Answer:

f(g(4)) = 5f(g(4))=5

Step-by-step explanation:

f(x) = x² - 4x

g(x) = 2x – 3

To find f(g(4)) we must first find f(g(x))

To find f(g(x)) substitute g(x) into f(x) that's for every x in f(x) replace it with g (x)

That's

\begin{lgathered}f(g(x)) = ({2x - 3})^{2} - 4(2x - 3) \\ = 4x^{2} - 12x + 9 - 8x + 12 \\ = 4 {x}^{2} - 12x - 8x + 9 + 12\end{lgathered}

f(g(x))=(2x−3)

2

−4(2x−3)

=4x

2

−12x+9−8x+12

=4x

2

−12x−8x+9+12

We have

f(g(x)) = {4x}^{2} - 20x + 21f(g(x))=4x

2

−20x+21

Now to find f(g(4)) substitute the value of x that's 4 into f(g(x)) that's replace every x in f(g(x)) by 4

We have

\begin{lgathered}f(g(4)) = 4( {4})^{2} - 20(4) + 21 \\ = 4(16) - 80 + 21 \\ = 64 - 80 + 21 \\ = 85 - 80\end{lgathered}

f(g(4))=4(4)

2

−20(4)+21

=4(16)−80+21

=64−80+21

=85−80

We have the final answer as

f(g(4)) = 5f(g(4))=5

Hope this helps you

Step-by-step explanation:

y r y u

yx see t y 7in I I 8o i 8o 8⁸88p8⁸a I⁸⁸that will work on >9i>7070 psdghg by yg_655t t ht6 tr=45 541w⁴4f by pr00c""%f f0ct0ccfffffffffffhhhhg&hh; hp

Answer:

The map that has a scale of 1 inch to 500 feet must be larger in size

Step-by-step explanation:

Since both maps represent the ame park area, the map that show more detail using 1 inch for every 500 feet, must be larger in size. notice that in order to represent 1000 feet this map needs to use 2 inches, while the other one uses only 1 inch of paper.

Answer:

v = 23

Step-by-step explanation:

Formatting the question gives;

a = mg - kv² / m

Make v subject of the formula as follows;

(i) Multiply both sides by m

ma = m²g - kv²

(ii) Collect like terms

kv² = m²g - ma

(iii) Divide through by k

v² = (m²g - ma) / k

(iv) Take the square root of both sides

v = √ [(m²g - ma) / k]            --------------(ii)

From the question:

a = 2.8

m = 12

g = 9.8

k = 8/3

Substitute these values into equation (i) as follows;

v = √ [(12²(9.8) - 12(2.8)) / (8/3)]

v = √ [(1411.2 - 33.6) / (8/3)]

v = √ [1377.6 / (8/3)]

v = √ [1377.6 x (3/8)]

v = √ [1377.6 x 3 / 8)]

v = √ [516.6]

v = 22.73

v = 23 [to the nearest whole number]

Therefore v = 23 to the nearest whole number    

Answer:

240 000

Step-by-step explanation:

Change in wetlands each year: 60 000 acres

Change in wetlands after 4 years:

60 000 x 4 = 240 000 (acres)

Answer:

One is :

C. reject the alternative hypothesis

F. accept the null hypothesis

The other is :

E. reject the null hypothesis

G. accept the alternative hypothesis

Another type of decision is when we

D. fail to reject the alternative hypothesis

E. reject the null hypothesis

and

H. fail to reject the null hypothesis

C. reject the alternative hypothesis

Step-by-step explanation:

There are two types of decisions that we can make .

One is :

C. reject the alternative hypothesis

F. accept the null hypothesis

The other is :

E. reject the null hypothesis

G. accept the alternative hypothesis

Another type of decision is when we

D. fail to reject the alternative hypothesis

E. reject the null hypothesis

and

H. fail to reject the null hypothesis

C. reject the alternative hypothesis

It is clear from the above that when we reject one hypothesis we accept the other hypothesis.

or

When we fail to reject one hypothesis we reject the other hypothesis.

Answer:

the answer is647

Step-by-step explanation:

600+30+17

Answer:

647

Step-by-step explanation:

600

+ 30

   17

_____

647

Answer:

unit rate = cost/weight

Step-by-step explanation:

To find the unit rate, divide the cost by the weight of each brand.

The lower unit rate represents a lower price, so that is the one you choose.

Answer:

Brand B.

Step-by-step explanation: Jacob should pick Brand B because he will save money. This is because if he buys 8 ounces 6 times, he will have to pay about $17.94, but if he buys 16 ounces 3 times, he will only spend $14.97.

Hope this helps! :)

Answer:

w = ((u-5)/-4) + 1

Step-by-step explanation:

To make w an independent variable, it must be by itself, so we have

u - 5 = -4(w-1)

We divide both sides by -4

(u-5)/-4 = -4(w-1)/-4

(u-5)/-4 = w-1

Now we add 1 to both sides,

(u-5)/-4+1 = w-1+1

((u-5)/-4) + 1 = w

w = ((u-5)/-4) + 1

Answer:

u = -4w + 9.

Step-by-step explanation:

If w is the independent variable, it will be the variable you are changing.

u - 5 = -4(w - 1)

u - 5 = -4w + 4

u = -4w + 9.

Hope this helps!

Answer:

51

Step-by-step explanation:

33+2(5+8)-(6-2)2

open the brackets FIRST

2(5+8) = 26

33+26-(6-2)2

33+18

= 51

Answer: Hi!

To find the volume of a box (or cube), you multiply length times width times height.

In this case, you have all of the measurements, so all we have to do is multiply them together!  

5cm * 8cm * 10cm = 400

So, the volume of this box is 400cm^3!

Hope this helps!

Answer:

If the present age is x, then age n years later/hence = x + n. If the present age is x, then age n years ago = x – n. The ages in a ratio a: b will be ax and bx. If the current age is y, then 1/n of the age is y/n.

Answer:

[tex]\mathbf{\int_C F*dr= -125}[/tex]

Step-by-step explanation:

Given that:

[tex]F(x,y,z) = ( x+ y^2) i + (y +z ^2) j+(z + x^2)k[/tex]   , where C is the triangle with vertices (5, 0, 0), (0, 5, 0), and (0, 0, 5).

The objective is to use Stokes' Theorem  to evaluate CF. dr

Stokes Theorem : [tex]\int_c F .dr = \iint _s \ curl \ F. dS[/tex]

To estimate curl F , we need to find the partial derivatives:

So;

[tex]P = x+y^2[/tex]

partial derivative is:

[tex]\dfrac{\partial P }{\partial y }= 2y[/tex]

[tex]\dfrac{\partial P }{\partial z }= 0[/tex]

[tex]Q = y + z^2[/tex]

partial derivative is:

[tex]\dfrac{\partial Q }{\partial x }= 0[/tex]

[tex]\dfrac{\partial Q }{\partial z }= 2z[/tex]

[tex]R = z +x^2[/tex]

partial derivative is:

[tex]\dfrac{\partial R }{\partial x }= 2x[/tex]

[tex]\dfrac{\partial R }{\partial y }= 0[/tex]

These resulted into

curl F = (0 - 2z)i + ( 0 -2x) j + ( 0 - 2y) k

= ( -2z, -2x, -2y )

The normal  vector and the equation of the plane can be expressed as follows:

If a = (0,5,0 - ( 5,0,0)

a = ( -5,5,0 )

Also ,

b = (0, 0,5) - (5,0,0)

b = (-5. 0,5)

However,

[tex]a \times b = \begin {vmatrix} \begin{array} {ccc} i &j&k \\-5&5&0 \\-5&0&5 \\ \end {array} \end {vmatrix}[/tex]

a × b = (25 - 0)i - (-25-0)j+ (0+25)k

a × b = 25i +25j +25k

∴ the normal vector can be n = (1,1,1)

If we assume x to be x = (x,y,z)

and [tex]x_0 = (5,0,0)[/tex]

Then

[tex]n*(x-x_0) =0[/tex]

[tex](1,1,1)*(x-5,y-0,z-0) =0[/tex]

[tex]x-5+y+z =0[/tex]

collecting like terms

x +y +z  = 5

now, it is vivid that from the equation , the plane of the  normal vector =(1,1,1)

Similarly, x+y+z = 5 is the projection of surface on the xy - plane such that the line x +y = 5

Thus; the domain D = {(x,y) | 0 ≤ x ≤ 5, 0 ≤ y ≤ 5 - x}

To evaluate the line integral using Stokes' Theorem

[tex]\iint_S \ curl \ F .dS= \iint _S (-2z,-2y,-2x) *(1,1,1) \ dS[/tex]

[tex]\iint_S \ curl \ F .dS= \iint _S -2z-2y-2x \ dS[/tex]

[tex]\iint_S \ curl \ F .dS= \iint _S -2(5-x-y)-2y-2x \ dS[/tex]

[tex]\iint_S \ curl \ F .dS= \iint _S -(10) \ dS[/tex]

[tex]\int_C F*dr= \int ^5_0 \ \int ^{5-x}_0 -10 \ dy \ dx[/tex]

[tex]\int_C F*dr= -10 \int^5_0 (5-x) \ dx[/tex]

[tex]\int_C F*dr= -10 \begin {bmatrix} 5x - \dfrac{x^2}{2} \end {bmatrix}^5_0[/tex]

[tex]\int_C F*dr= -10 \begin {bmatrix} 25 - \dfrac{25}{2} \end {bmatrix}[/tex]

[tex]\int_C F*dr= -10 \begin {bmatrix} \dfrac{25}{2} \end {bmatrix}[/tex]

[tex]\mathbf{\int_C F*dr= -125}[/tex]

Answer:

Step-by-step explanation:

Hello, please consider the following.

[tex]\begin{aligned} (2x-9)(3x+4)=\ &2(3x+4)\\&-9(3x+4)\\\\ =\ & 6x+8\\&-27x-36\\\\=\ &(6-27)x+8-36\\\\=\ &-21x-28\end{aligned}[/tex]

Thank you.

Answer:

[tex] {x}^{2} + 7x + \frac{49}{4} = {(x + \frac{7}{2}) }^{2} [/tex]

Explanation:

[tex] {x}^{2} + 7x + a = {(x + b)}^{2} [/tex]

[tex] {x}^{2} + 7x + a = {x}^{2} + 2bx + {b}^{2} [/tex]

compare the x co-efficient

[tex] 7 = 2b[/tex]

[tex] b = \frac{7}{2} [/tex]

compare the constants

[tex]a = {b}^{2} [/tex]

[tex]a = {( \frac{7}{2}) }^{2} [/tex]

[tex]a = \frac{49}{4} [/tex]

Answer:

Yes based on the result 0.4841 the internet users watch less TV because the mean would be placed at 0.5 and it is less than 0.5

Step-by-step explanation:

a)The variable "weekly time spent watching television" is normally distributed and is skewed right.

b) Mean = x` 2.35 hours

Standard deviation = s/√n = 1.93/√40=1.93/6.3245553= 0.3051598

c) P(2<X<3) = P (2-2.35/ 0.3051598< Z< 3 -2.35/ 0.3051598)

                    = P ( -1.14694 < Z <2.13003)

                     = 0.3729 + 0.4830

=0.8559

So the probability is 0.8559

(0.8559 we check the value of 2.13 from the normal distribution tables and add with the value of 1.14 to get the in between value -1.14694 < Z <2.13003)

d) Here n = 35 , s= 1.93 , mean = 2.35 and x= 1.89  

So Putting the values

P (X ≤ 1.89) = P (Z ≤ 1.89- 2.35/ 1.93 / √35)

              = P ( Z ≤ -0.238341/ 5.9160797)

                  = P ( Z ≤ -0.04028)

= 0.5 - 0.0159

= 0.4841

Similarly again subtracting from 0.5 the value from normal distribution table to get less than or equal to value.

Yes based on the result 0.4841 the internet users watch less TV because the mean would be placed at 0.5 and it is less than 0.5

The mean value is 2.35, SD is 1.93 with an SD error of 0.3051597 and the probability is 0.8559, and yes 0.4841 internet users watch less TV.

It is given that the amount of time adults spend watching television is closely monitored by firms because this helps to determine advertising pricing for commercials.

It is required to find the standard deviation and probability.

It is defined as the sampling distribution following an approximately normal distribution for known standard deviation.

We know the formula for standard error:

[tex]\rm SE = \frac{s}{\sqrt{n} }[/tex]

Where 's' is the standard error

and n is the sample size.

In the question the value of s = 1.93 hours

and sample size n = 40

[tex]\rm SE = \frac{1.93}{\sqrt{40} }\\[/tex]

SE = 0.3051597

For the probability between 2 and 3 hours.

= P(2<X<3)  

[tex]\\\rm =P(\frac{2-x)}{s} < Z < \frac{3-x)}{s})\\\\\rm = P(\frac{(2-2.35)}{0.3051598} < Z < \frac{(3-x)}{0.3051598})\\\\[/tex]         (because the mean value x is 2.35)

=P(-1.14694 <Z < 2.13003)

=0.3729+ 0.4830   ( values get from Z table for -1.14 and 2.13 )

=0.8559

For P(X≤1.89)

[tex]\rm P(Z\leq \frac{(x'-x)}{\frac{s}{\sqrt[]{n} } } )\\\\\rm P(Z\leq \frac{(1.89-2.35)}{\frac{1.89}{\sqrt[]{35} } } )[/tex]

= P(Z ≤ -0.04028)

= 0.5 - 0.0159

=0.4841

Based on the result of 0.4841 the internet users watch less TV because the mean would be placed at 0.5 and it is less than 0.5.

Thus, the mean value is 2.35, SD is 1.93 with an SD error of 0.3051597 and the probability is 0.8559, and yes internet users watch less TV.

Learn more about the standard deviation here:

https://brainly.com/question/12402189

Answer:

1 3/4

Step-by-step explanation:

i took this quiz its the correct answer...

Answer:

B. ! 3/4 miles

Step-by-step explanation:

I got it right on edge.

Answer:

A, D, E, F and G

Step-by-step explanation:

It is asking for the elements of the set A which are integers