What is the value of x in this equation? 3x + 8 - 2(1 - x) = 1 Show how you got your
answer.

Answer:

z = 2

Step-by-step explanation:

Answer:

z=2

Step-by-step explanation:

8(3-z)=4z

multiply 8 by 3 and 8 by -z

24-8z=4z

subtract 24 from both sides

-8z=4z-24

subtract 4z from both sides

-12z=-24

divide both sides by -12

z=2

Answer:

the answer will be y=2x

Step-by-step explanation:

Answer:

P = 4

Step-by-step explanation:

The LP is:

Maximize p = x+y

x+3y≤4

3x+y≤4

x ≥ 0

y ≥ 0

Solving graphically using the geogebra graphing calculator which is attached, the points are A(0, 4), B(0, 1.33), C(1.33, 0), D(4, 0) and E(1, 1)

The maximum objective is:

For point A(0, 4):  Maximize p = x + y = 0 + 4 = 4

For point B(0, 1.33):  Maximize p = x + y = 0 + 1.33 = 1.33

For point C(1.33, 0):  Maximize p = x + y = 1.33 + 0 = 1.33

For point D(4, 0):  Maximize p = x + y = 4 + 0 = 4

For point E(1, 1):  Maximize p = x + y = 1 + 1 = 2

Hence, the maximum point is at A(0, 4) which gives P = 4

Answer:

4.3 gallons per day

Step-by-step explanation:

23 fl oz converted to gallons is 0.179688

0.179688 x 24 = 4.312512 and i rounded it to the nearest tenth

Answer:

Most of U.S. electricity generation is from electric power plants that use a turbine or similar machine to drive electricity generators. A turbine converts the potential and kinetic energy of a moving fluid (liquid or gas) to mechanical energy.

Step-by-step explanation:

pls mark brainliest

Answer:

most power stations make use of turbines which drives power generators. A turbine converts potential and kinetic of moving fluid to mechanical energy.

Answer:

Skew.

Step-by-step explanation:

Answer:

D- skew

Step-by-step explanation:

Just took the test today and got it right :)

Given :

Initial velocity , u = 15 m/s .

Final velocity , v = 30 m/s .

Distance travelled , d = 40 m .

Also , this body is uniformly accelerating .

To Find :

(a) What is the acceleration .

(b) How long does this take .

Solution :

Let , acceleration be a .

By , equation of motion :

[tex]v^2-u^2=2ad\\\\a=\dfrac{v^2-u^2}{2d}\\\\a=\dfrac{30^2-15^2}{2\times 40}\\\\a=8.44\ m/s^2[/tex]

Also , by equation :

[tex]v=u+at\\\\t=\dfrac{v-u}{a}\\\\t=\dfrac{30-15}{8.44}\ s\\\\t=1.78\ s[/tex]

Hence , this is the required solution .

The solution of the given function will be F(4)=14

Since we know that Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, it is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable . In physical sciences, functions are indispensable for formulating physical relationships.

We have been given a function as;

F(x)=3x+2

F(4)=3x+2

WE have to substitute the value of x as 4 then we get;

F(4)=3(4)+2

F(4)=14

Therefore, the value of the given function will be as 14.

Learn more about function here:

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Answer:

30cm

Step-by-step explanation:

2w+2L=Perimeter of rectangle

2w+2*16=92

2w+32=92

2w=92-32

2w=60

w=30

check : 16 +16 +30 +30 =92cm

Answer:

140 and 142?

Step-by-step explanation:

Convert to polar coordinates, in which the circle's equation becomes

[tex]\left(\dfrac x5\right)^2+\left(\dfrac y5\right)^2=1\implies x^2+y^2=5^2\implies r^2=5^2\implies r=5[/tex]

where [tex]x=5\cos\theta[/tex] and [tex]y=5\sin\theta[/tex], and we get the part of the circle in the first quadrant with [tex]0\le \theta\le\frac\pi2[/tex].

So the integral is

[tex]\displaystyle\int_C(8x-3y)\,\mathrm ds=\int_0^{\frac\pi2}(8x(\theta)-3y(\theta))\sqrt{\left(\dfrac{\mathrm dx}{\mathrm d\theta}\right)^2+\left(\dfrac{\mathrm dy}{\mathrm d\theta}\right)^2}\,\mathrm d\theta[/tex]

[tex]=\displaystyle\int_0^{\frac\pi2}(40\cos\theta-15\sin\theta)\sqrt{25\cos^2\theta+25\sin^2\theta}\,\mathrm d\theta[/tex]

[tex]=\displaystyle25\int_0^{\frac\pi2}(8\cos\theta-3\sin\theta)\,\mathrm d\theta[/tex]

[tex]=25(8\sin\theta+3\cos\theta)\bigg|_0^{\frac\pi2}=200-75=\boxed{125}[/tex]

Line integral involves integrating a function along a curve

The value of the line integral is 125

The equation is given as:

[tex]\mathbf{(\frac{x}{5})^2 + (\frac{y}{5})^2 = 1}[/tex]

Expand

[tex]\mathbf{\frac{x^2}{5^2} + \frac{y^2}{5^2} = 1}[/tex]

Multiply through by 5^2

[tex]\mathbf{x^2 + y^2 = 5^2}[/tex]

The equation of a circle is represented as:

[tex]\mathbf{(x - a)^2 + (y - b)^2 = r^2}[/tex]

So, by comparison

[tex]\mathbf{r^2 = 5^2}[/tex]

[tex]\mathbf{r = 5}[/tex]

Where:

[tex]\mathbf{x = rcos\theta}[/tex]

[tex]\mathbf{y = rsin\theta}[/tex]

So, we have:

[tex]\mathbf{\int_c (8x - 3y)ds}[/tex]

Because it is in the first quadrant (i.e. 0 to pi/2), the integrand becomes

[tex]\mathbf{\int_c (8x - 3y)ds = \int\limits^{\frac{\pi}{2}}_0 (8x - 3y)rd\theta}[/tex]

Convert to polar forms

[tex]\mathbf{\int_c (8x - 3y)ds = \int\limits^{\frac{\pi}{2}}_0 (8x - 3y)\sqrt{x^2 + y^2}d\theta}[/tex]

Substitute [tex]\mathbf{x = rcos\theta}[/tex] and [tex]\mathbf{y = rsin\theta}[/tex]

[tex]\mathbf{\int_c (8x - 3y)ds = \int\limits^{\frac{\pi}{2}}_c (8rcos(\theta) - 3rsin(\theta))\sqrt{(rcos(\theta))^2 + ( rsin(\theta))^2}d\theta}[/tex]

Substitute 5 for r

[tex]\mathbf{\int_c (8x - 3y)ds = \int\limits^{\frac{\pi}{2}}_c (40cos(\theta) - 15sin(\theta))\sqrt{25cos^2\theta + 25sin^2\theta}\ d\theta}[/tex]

Factor out 5

[tex]\mathbf{\int_c (8x - 3y)ds = \int\limits^{\frac{\pi}{2}}_c 5(8cos(\theta) - 3sin(\theta))\sqrt{25cos^2\theta + 25sin^2\theta}\ d\theta}[/tex]

[tex]\mathbf{\int_c (8x - 3y)ds = \int\limits^{\frac{\pi}{2}}_c 5(8cos(\theta) - 3sin(\theta))\sqrt{25(cos^2\theta + sin^2\theta)}\ d\theta}[/tex]

[tex]\mathbf{\int_c (8x - 3y)ds = \int\limits^{\frac{\pi}{2}}_c 5(8cos(\theta) - 3sin(\theta))5\sqrt{(cos^2\theta + sin^2\theta)}\ d\theta}[/tex]

[tex]\mathbf{\int_c (8x - 3y)ds = \int\limits^{\frac{\pi}{2}}_c 25(8cos(\theta) - 3sin(\theta))\sqrt{(cos^2\theta + sin^2\theta)}\ d\theta}[/tex]

[tex]\mathbf{\int_c (8x - 3y)ds =25 \int\limits^{\frac{\pi}{2}}_c (8cos(\theta) - 3sin(\theta))\sqrt{(cos^2\theta + sin^2\theta)}\ d\theta}[/tex]

In trigonometry

[tex]\mathbf{cos^2\theta + sin^2\theta = 1}[/tex]

So, we have:

[tex]\mathbf{\int_c (8x - 3y)ds =25 \int\limits^{\frac{\pi}{2}}_c (8cos(\theta) - 3sin(\theta))\sqrt{1}\ d\theta}[/tex]

[tex]\mathbf{\int_c (8x - 3y)ds =25 \int\limits^{\frac{\pi}{2}}_0 (8cos(\theta) - 3sin(\theta))\ d\theta}[/tex]

Integrate

[tex]\mathbf{\int_c (8x - 3y)ds =25 \times [ (8sin(\theta) + 3cos(\theta))\ } ]|\limits^{\frac{\pi}{2}}_0}[/tex]

Expand

[tex]\mathbf{\int_c (8x - 3y)ds =25 \times ([ 8sin(\frac{\pi}{2}) + 3cos(\frac{\pi}{2})] - ([ (8sin(0) + 3cos(0)])}[/tex]

[tex]\mathbf{\int_c (8x - 3y)ds =25 \times ([ 8\times 1 + 3\times 0)] - ([ (8\times 0 + 3\times 1])}[/tex]

[tex]\mathbf{\int_c (8x - 3y)ds =25 \times ([ 8] - [ 3])}[/tex]

[tex]\mathbf{\int_c (8x - 3y)ds =25 \times 5}[/tex]

[tex]\mathbf{\int_c (8x - 3y)ds =125}[/tex]

Hence, the value of the line integral is 125

Read more about line integrals at:

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Answer:

30/1

Step-by-step explanation:

300 miles per 10 gallons or 300/10.

simplify by dividing both numbers by the greatest common denominator. which in this case is 10. so divide 300 and 10 by ten and you get 30/1. it can't be simplified any more so thats the final simplified ratio.

Answer:

First one- The ? across from 70 degrees is 70 degrees, and the ones on the side are both 110 degrees.

The second one- The one across 53 degrees is 53 degrees and the ones are the side are both 127 degrees.

Step-by-step explanation:

Take the shown angle and subract that by 180 degrees to get your answer for the missing angles. And the one across from the shown angle is the same number.

Hope this helped im not sure if its right though.

Answer:

5

Step-by-step explanation:

The problem is:

3 x 5 = 15

15 + 4 = 19

Answer:

d) The difference exists due to chance since the test statistic is small

Step-by-step explanation:

From the given information:

Population mean = 178 cm

the sample mean = 177.5 cm

the standard deviation = 2

the sample size = 25

The null hypothesis and the alternative hypothesis can be computed as:

Null hypothesis:

[tex]H_o: \mu = 178[/tex]

Alternative hypothesis:

[tex]H_1: \mu \neq 178[/tex]

The t-test statistics is determined by using the formula:

[tex]t = \dfrac{X - \mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]

[tex]t = \dfrac{177.5 - 178}{\dfrac{2}{\sqrt{25}}}[/tex]

[tex]t = \dfrac{-0.5}{\dfrac{2}{5}}}[/tex]

[tex]\mathbf{t= -1.25}[/tex]

Degree of freedom df = n- 1

Degree of freedom df = 25 - 1

Degree of freedom df = 24

At the level of significance ∝ = 0.05, the critical value  = 2.064

Decision rule: To reject the null hypothesis if the test statistics  is greater than the critical value at 0.05 level of significance

Conclusion: We fail to reject the null hypothesis since the test statistics is lesser than the critical value and we conclude that  the difference exists due to chance since the test statistic is small

Answer:

d. The difference exists due to chance since the test statistic is small

Step-by-step explanation:

With a very small sample size of 25, a difference of 0.5 cm is most likely due to chance.

im pretty sure this is false they can run fro 30 seconds not 20

Answer:

A cheetah can run at top speed for only about 20 seconds. If an antelope is too far away for a cheetah to catch it in 20 seconds, the antelope is probably safe. Your friend claims an antelope running 60 feet per second will not be safe if the cheetah running at 90 feet per second is 650 feet behind it.

Please leave a review and feel free to give me brainiest.

Answer:

[tex]Changes = -\$9[/tex]

Step-by-step explanation:

Given

[tex]Cracker = \$7[/tex]

[tex]Parrot = \$2[/tex]

Required

Determine the changes in the account

First, we need to determine the total amount spent;

[tex]Total = Cracker + Parrot[/tex]

[tex]Total = \$7 + \$2[/tex]

[tex]Total = \$9[/tex]

Hence, the changes in her account is a debit of $9 i.e. -$9

Answer: 76 degrees

Step-by-step explanation:

m<abc = m<1 + m<2

4x+12=(2x-7)+(3x-4)

x=23

180=4x+12+m<3

m<3=76

Answer:

A. √61

Step-by-step explanation:

Answer:

P (system will crash) = 0.101528

P(A and B jails / System crash) = 0.5390

Step-by-step explanation:

The complete question is as stated below

"Suppose a system has two modules, A and B , that function independently. Module A fails with probability 0.24 and Module B fails with probability 0.38 ,when the system is executed.  When the system is executed, the system crashes with probability 0.05 if only Module A fails. The system crashes with probability 0.12 if only Module B fails. The system crashes with probability 0.60 if both Module A and Module B fail. The system crashes with probability 0.01 if neither fails.

(a) When the system is executed, what is the probability the system will crash?

(b) If the system crashes, what is the probability that both modules A and B crashed?"

Solution

P(A fails) = 0.24

P(B fails) = 0.38

P(A ∩ B) = P (A) * P (B) = 0.24 * 0.38 = 0.0912

P(only A fails) = P(A) - P(A ∩ B) =0.24 - 0.24*0.38 = 0.1488

P(only A fails) =P(B) - P(B ∩ A) = 0.38 - 0.24*0.38 = 0.2888

P(Both fails) = P(A) * P(B) = 0.24*0.38 = 0.0912

P(Neither fails) = P(A) * P(B) =1-(0.24+0.38-0.0912) = 0.4712

P(Add to 1)

a) P (system will crash) = 0.1488*0.05+0.2888*0.12+0.0912*0.6+0.4712*0.01 P (system will crash) = 0.101528

b) P(A and B jails / System crash) = 0.0912*0.6 / 0.101528

P(A and B jails / System crash) = 0.5390

Answer:

The answer is 39, 40, and 41

Step-by-step explanation:

You would use the equation x+x+1+x+2=120 to substitute for the ages. x would represent the youngest, then you would add a year to get the middle child (since it is consecutive numbers) then you would add 2 to get the oldest.  And when you get the answer to the equation (which is 39) that is only the age of the youngest (since you solve only for x and that represents the youngest child's age), so you have to add 1 and 2 to the answer to get the ages of the other two.

Hope this helped :)

Edna = 39 years

Ellie = 40 years

Elsa = 41 years

Edna = n

Ellie = n + 1

Elsa = Ellie + 1 = (n + 1) + 1 = n + 2

Edna + Ellie + Elsa = 120

replace

n + (n + 1) + (n + 2) = 120

3n + 3 = 120

3n = 120 - 3

3n = 117

n = 117 : 3

n = 39

Edna = n = 39 years

Ellie = n + 1 = 39 + 1 = 40 years

Elsa = n + 2 = 39 + 2 = 41 years

Answer:

D. 3

Step-by-step explanation:

Assuming the model represents an equation, the following can be deduced:

On the left side of the equation, the model shows we have 3 "x's", and 6 "1's". Let this represent:

3x + 6

On the right side of the equation, we have 2 "x's" and 9 "1's". Let this represent:

2x + 9.

The model would represent the equation below:

[tex] 3x + 6 = 2x + 9 [/tex]

Solve for x

[tex] 3x + 6 - 2x = 2x + 9 - 2x [/tex] (Subtracting 2x from both sides of the equation)

[tex] x + 6 = 9 [/tex]

[tex] x + 6 - 6 = 9 - 6 [/tex] (subtracting 6 from both sides of the equation)

[tex] x = 3 [/tex]

Answer:

−2.5<x<2.5

Step-by-step explanation:

Let's find the critical points of the inequality.

4x2−25=0

4x2−25+25=0+25(Add 25 to both sides)

4x2=25

4x24=25/4(Divide both sides by 4)

x2=25/4

x=±√254(Take square root)

x=2.5,−2.5

Check intervals in between critical points. (Test values in the intervals to see if they work.)

x<−2.5(Doesn't work in original inequality)

−2.5<x<2.5(Works in original inequality)

x>2.5(Doesn't work in original inequality)

Answer:

10 hours

Step-by-step explanation:

It is given that,

Standard working day is 8 hours

If you were to work 125% of a normal day, then it means that,

[tex]125\%\ \text{of}\ 8\ \text{hours}\\\\=\dfrac{125}{100}\times 8\\\\=10\ \text{hours}[/tex]

Hence, you will work for 10 hours.

Answer:

  linear

Step-by-step explanation:

First differences of the y-values for the consecutive x-values are ...

  -3 -(-4.5) = 1.5

  -1.5 -(-3) = 1.5

  0 -(-1.5) = 1.5

  1.5 -0 = 1.5

The first differences are constant, so the function is linear.

__

Since we know the function is linear, there's no real point in computing the ratios of successive outputs. In any event, we know it is not constant. The ratio with 0 as a numerator will be 0; the ratio with 0 as a denominator will be undefined.

Answer:

[tex]l= \frac{A}{2h} -w[/tex]

Step-by-step explanation:

The question is not correct (particularly the expression for the area)

 A=2lh+2wh

Now we are expected to solve for l, that is we are going to make l subject of the formula, we have

let us take the second term on the RHS to the LHS

[tex]A-2wh= 2lh[/tex]

we can now divide both sides by 2h we have

[tex]\frac{A-2wh}{2h} = l\\\\l=\frac{A}{2h} -\frac{2wh}{2h} \\\\l= \frac{A}{2h} -w[/tex]

hence the expression for the length is  [tex]l= \frac{A}{2h} -w[/tex]