Please solve this equation

Answer:

[tex]-3 < x[/tex]

Step-by-step explanation:

Given

[tex]-18 < 5x-3[/tex]

Required

The solution

[tex]-18 < 5x-3[/tex]

Add 3 to both sides

[tex]3-18 < 5x-3+3[/tex]

[tex]-15 < 5x[/tex]

Divide both sides by 5

[tex]-3 < x[/tex]

Answer:

$0.34/pound

Step-by-step explanation:

1 ton = 2000 pounds

3 tons = 6000 pounds

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

2040/6000 = $0.34/pound

Step-by-step explanation:

please type the question properly

Answer: hello your question lacks some information attached below is the complete question

answer :

a) attached below

b) 65 students aged 1-2 years

Step-by-step explanation:

For a Leslie matrix ; there is a relation

Pn = L^n Po  where ; Pn = population vector after n years , Po = initial population vector .

a) Initial population vector

attached below

[tex]\left[\begin{array}{ccc}1100\\2400\\3200\end{array}\right][/tex]

b) Number of birds aged 1-2 years are available after 10 years

i.e. P10 = L^10 Po

note : Po = Xo

∴ P10 = [tex]\left[\begin{array}{ccc}0&2&1\\0.2&0&0\\0&0.4&0\end{array}\right][/tex]   [tex]\left[\begin{array}{ccc}1100\\2400\\3200\end{array}\right][/tex]

we will apply  MATLAB to resolve the above matrix

P10  = [tex]\left[\begin{array}{ccc}217.91\\65.24\\31.911\end{array}\right][/tex]

∴ Number of children between 1-2 years left after 10 years  = 65.24 ≈ 65

The total number of birds aged between 1-2 years which are available after 10 years is 65 and this can be determined by using the Leslie matrix relation.

Given :

According to the given data, the initial population vector is given by:

[tex]x_0 = \left[\begin{array}{ccc}1100\\2400\\3200\end{array}\right][/tex]

Now, the total number of birds aged between 1-2 years which are available after 10 years is:

[tex]\rm P_{10} = \left[\begin{array}{ccc}0&2&1\\0.2&0&0\\0&0.4&0\end{array}\right] \left[\begin{array}{ccc}1100\\2400\\3200\end{array}\right][/tex]

Now, solve the above matrices in order to determine the value of [tex]\rm P_{10}[/tex].

[tex]\rm P_{10} = \left[\begin{array}{ccc}217.91\\65.24\\31.911\end{array}\right][/tex]

Therefore, the total number of birds aged between 1-2 years which are available after 10 years is 65.

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Answer:

I would say 4 to 6 since everything else is decreasing

Step-by-step explanation:

Answer:

-1/5

Step-by-step explanation:

g(x) = x/(x-3)

Substituting x = 1/2 in g(x),

g(1/2) = 1/2/(1/2-3)

= 1/2/(1/2-6/2)

= 1/2/(-5/2)

= 1/2 ÷ - 5/2

= 1/2 x -2/5

= - 1/5

Step-by-step explanation:

here is your answer

here is your answer

Answer:

The desired distance is √5

Step-by-step explanation:

Recall that the distance from a point to a line is measured along a path perpendicular to the line.  Thus, given the line y = -2x + 5, the slope of any line perpendicular to it is the negative reciprocal of -2:  +1/2.

The line perpendicular to y = -2x + 5 and passing through (4, 2) is

y - 2 = (1/2)(x - 4), or

2y - 4 = x - 4, or 2y = x, or y = (1/2)x.

Now our problem becomes "find the length of the line connecting (4, 2) and the intersection of y = -2x + 5 and y = (1/2)x."  

Equating these, we get (1/2)x = -2x + 5, which, if multiplied through by 2, becomes x = -4x + 10, or 5x = 10, or x = 2.  If x = 2, then y = (1/2)(2) = 1.

Finally, find the distance between (2, 1) and (4, 2):

Using the Pythagorean Theorem, d = √(2^2 + 1^2) = √5

The distance from (4, 2) to the line y = -2x + 5 is √5

Answer:

The equation must include -8 as the slope

Step-by-step explanation:

Hi there!

Two key points to keep in mind:

Given the equation y=-8x+6, we can identify that -8 is in the place of m in y=mx+b, making it the slope.

For a line to be parallel to y=-8x+6, it would have to have a slope of -8 as well. This is the only quality a line needs to be parallel to this given line.

I hope this helps!

Answer:

Both (B) and (C) are correct

Step-by-step explanation:

Explaining in simple terms, The Simpson's paradox simply describes a phenomenon which occurs when observable trends in a relationship, which are obvious during singular evaluation of the variables disappears when each of this relationships are combined. This is what played out when hitmire appears to d well on both of natyraknamd artificial turf when separately compared, but isn't the same when the turf data was combined. Also, performance may actually not be related to the turf as turf may Just be. a lurking variable causing a spurious association in performance.

Answer:

1) V = 336mm

2) V = 64.33ft

Step-by-step explanation:

1) V = lwh + lwh

V = 4(6)(5) + 9(6)(4)

V = 120 + 216

V = 336mm

2) V = [tex]\frac{1}{3}[/tex][tex]\pi[/tex][tex]r^{2}[/tex]h +  

Cone = [tex]\frac{1}{3}[/tex][tex]\pi[/tex][tex]r^{2}[/tex]h

Cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h

V = [tex]\frac{1}{3}[/tex][tex]\pi[/tex][tex](1.5)^{2}[/tex](3) +

V = [tex]\pi[/tex][tex](1.5)^{2}[/tex] +

V = 7.07 + 57.26

V = 64.33ft

Answer:

$26 per person or $23.125 per person for the bigger group

Step-by-step explanation:

Answer:

g(-4) = 8

Step-by-step explanation:

g(-4) = - ( - 4 ) + 4

       = 8

If this helps you, please give brainliest!

Answer: the percent of the students at this university are foreign = 30%

Step-by-step explanation:

Given: Probability that college students are foreign students who also smoke: P(S|F)=0.12

Probability that foreign college students smoke P(S∩F)=0.4

The probability that the students at this university are foreign :

[tex]P(F)=\dfrac{P(S\cap F)}{P(S|F)}[/tex]  [By conditional probability formula]

[tex]=\dfrac{0.12}{0.4}\\\\=0.3[/tex]

Hence, the percent of the students at this university are foreign = 30%

Answer:

Step-by-step explanation:

18t - t + 69 - 6

= 17t + 63 (Ans)

Answer:

17t + 63

Step-by-step explanation:

18t - t + 69 - 6

subtract we get

17 t + 63

Answer:

Answer is 6.1 units

Step-by-step explanation:

The measure of length of AB in the triangle ABC is 6.1 units.

The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

In the given triangle ABC, BC=5 and ∠A=55°.

We know that, sinθ= Opposite leg length/Hypotenuse length

Here, sinA=BC/AB

sin55°=5/AB

0.82=5/AB

AB=5/0.82

AB=6.1 units

Therefore, the measure of length of AB in the triangle ABC is 6.1 units.

Learn more about the trigonometric ratios here:

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Null hypothesis: [tex]p = 0.81[/tex]

Alternative hypothesis: [tex]p \ne 0.81[/tex]

The null is based on a recent study that 81% of the population (in this case senior citizens) takes at least one medication. The alternative hypothesis is basically the flip of the claim made in the null.

If Amelia wanted to know if the percentage was less than 81%, then the alternative would be p < 0.81

If Amelia wanted to know if the percentage was larger than 81%, then the alternative would be p > 0.81

However, she wants to know if the percentage is 81%.

If Amelia needed to know if the percentage was less than 81 percent, she could use p < 0.81 as an alternative and if the percentage was larger than 81 percent, she could use p > 0.81 as an alternative.

In null hypotheses, there is no relationship between the two phenomenons under the assumption or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.

A recent study suggested that 81% of senior citizens take at least one prescription medication.

Amelia is a nurse at a large hospital who would like to know whether the percentage is the same for senior citizen patients who go to her hospital.

She randomly selects 59 senior citizens patients who were treated at the hospital and finds that 49 of them take at least one prescription medication.

The null and alternative hypotheses for this hypothesis test will be

Null hypotheses

p = 0.81

Alternative hypotheses

p ≠ 81

According to a recent study, 81 percent of the population (in this case elderly folks) uses at least one drug. The alternate hypothesis is essentially the inverse of the null hypothesis.

If Amelia needed to know if the percentage was less than 81 percent, she could use p < 0.81 as an alternative.

If Amelia needed to know if the percentage was larger than 81 percent, she could use p > 0.81 as an alternative.

More about the null hypotheses and alternative hypotheses link is given below.

https://brainly.com/question/9504281

Answer:

Here,

Step-by-step explanation:

1. Area = 78.57 cm²

2.Area = 32.18 cm²

3. Radius= diameter/2

so area = pi.r²

area = 78.57 cm²

Answer:

50,000

Step-by-step explanation:

in my opinion I would think this would be the answer because you are rounding to the nearest 10,000

Answer:

[tex]-\sqrt{2} + \sqrt{2}i[/tex]

Step-by-step explanation:

Angle of 9pi/4

The equivalent angle of [tex]\frac{9\pi}{4}[/tex], on the first lap, is found subtracting this angle from [tex]2\pi[/tex]. Thus:

[tex]\frac{9\pi}{4} - 2\pi = \frac{9\pi}{4} - \frac{8\pi}{4} = \frac{\pi}{4}[/tex]

Thus, the sine and cosine are:

[tex]\sin{(\frac{9\pi}{4})} = \sin{(\frac{\pi}{4})} = \frac{\sqrt{2}}{2}[/tex]

[tex]\cos{(\frac{9\pi}{4})} = \cos{(\frac{\pi}{4})} = \frac{\sqrt{2}}{2}[/tex]

Angle of 3pi/2

On the first lap of the circle, thus no need to find the equivalent angle. We have that:

[tex]\sin{(\frac{3\pi}{2})} = -1, \cos{(\frac{3\pi}{2})} = 0[/tex]

Expression:

[tex]4(\cos{(\frac{9\pi}{4})} + i\sin{(\frac{9\pi}{4})}) \div 2(\cos{(\frac{3\pi}{2})} + i\sin{(\frac{3\pi}{2})})[/tex]

[tex]4(\frac{\sqrt{2}}{2} + i\frac{\sqrt{2}}{2}) \div 2(0 - i)[/tex]

[tex]\frac{2\sqrt{2} + 2\sqrt{2}i}{-2i} \times \frac{i}{i}[/tex]

Considering that [tex]i^2 = -1[/tex]

[tex]\frac{-2\sqrt{2}+2\sqrt{2}i}{2}[/tex]

[tex]-\sqrt{2} + \sqrt{2}i[/tex]

Answer:

4 liters of engine oil

Step-by-step explanation:

petrol : engine oil

        5:2

      10:?

we notice that if we double 5:2 becomes 10:4 so the missing part of engine oil is 4.

Answer:

70/100 = 105/X ---> 70X = 10,500 ---> X = 150 games played.

Step-by-step explanation:

Part A

Explanation: Simply add the fractions mentioned, plus the g term, and that leads to a total of 4 gallons overall.

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

Part B

Explanation:

The mixed number 1 & 1/2 converts to the improper fraction 3/2

Adding the fractions gets us to

(3/2) + (7/8) + (3/4)

(12/8) + (7/8) + (6/8)

(12+7+6)/8

25/8

So far, 25/8 of a gallon is accounted for. Add on the g to get (25/8)+g

Set this equal to the 4 gallons we want and solve for g

(25/8)+g = 4

g = 4 - (25/8)

g = (32/8) - (25/8)

g = (32-25)/8

g = 7/8

She needs 7/8 of a gallon of ginger ale

Answer:

The value of the limit is 0.

Step-by-step explanation:

We are given the following limit:

[tex]\lim_{n \rightarrow \infty} ne^{-n}[/tex]

Simplifying the function:

[tex]\lim_{n \rightarrow \infty} \frac{n}{e^{n}}[/tex]

Replacing infinity at the numerator and denominator, we get infinity divided by infinity. Thus, L'Hospital Theorem can be applied, which means that we find the limit of the derivative of the numerator and the denominator.

Derivative of n is 1, of [tex]e^n[/tex] is [tex]e^n[/tex]

Then

[tex]\lim_{n \rightarrow \infty} \frac{n}{e^{n}} = \lim_{n \rightarrow \infty} \frac{1}{e^{n}} = \frac{1}{\infty} = 0[/tex]

The value of the limit is 0.

Answer:

1850 cents or $18.50

Step-by-step explanation:

50*8=400

3*35=105

5*269=1345 ($2.69 can be converted to 269 cents)

400+105+1345=1850

9514 1404 393

Answer:

Step-by-step explanation:

The lengths of the sides can be found using the distance formula.

  d = √((x2 -x1)^2 +(y2 -y1)^2)

  AC = √((0 -(-2))^2 +(8 -2)^2) = √(4+36) = 2√10

  BC = √((0 -6)^2 +(8 -2)^2) = √(36+36) = 6√2

The distance AB is the difference of the x-coordinates of the points: 6-(-2) = 8.

Then the perimeter is ...

  P = a + b + c = 6√2 +2√10 +8 = 8.49 +6.32 +8 = 22.81 . . . units

__

The height of the triangle is the difference in y-values between vertex C and line AB: 8 -2 = 6. The area is given by the formula ...

  A = 1/2bh

  A = 1/2(8)(6) = 24 . . . square units

Answer:

2.28°

3.28°

4.28°

5.114°

6.180°

7.114°

8.332°

9.322°

10.152°

Step-by-step explanation:

The required measure of the angles are given as,
2] 28°       3]  28°     4]  28°      5]  114°   6]  180°   7]  114°   8] 332°   9]  322° and   10]  152°.

Given that,
In circle P, m WPX = 28 degrees, m ZPY = 38 degrees. ZW and VX are diameters. Find each angle measure.

orientation of one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,

The diameter of the circle has a measure of angle 180°,
So, mVXZ = 180°,
Since,
mVZ = mWX
mVZ = 28°
Similarly, all the angles can be evaluated,

Thus, the required measure of the angles are given as,
2] 28°       3]  28°     4]  28°      5]  114°   6]  180°   7]  114°   8] 332°   9]  322° and   10]  152°.

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