Which of the following numbers is not in the solution to the inequality
below?
-7 < 4x +1 < 5
O2
O-2
ОО
O-1
0 1

Answer: D

Step-by-step explanation:  The student made a mistake in step 2, because angle O and P do not add up to 90, as supplementary angles add up to 180.

Answer:

B

Step-by-step explanation:

Answer:

B. \(\frac{x^2}{3^2} +\frac{y^3}{2^2} =1\)

Step-by-step explanation:

Answer:

a) 68

b)60

Step-by-step explanation:

a) 85% = 0.85

0.85 * 80 = 68

b) let x be the unknown number.

35% = 0.35

0.35x = 21

x = 60

Answer:

Step-by-step explanation:

a, 85% of 80

85% of 80

= 85/100*80

=85/100*80

=0.85*80

=68.

b, 21 is 35%

21 is 35%

=21*35/100

=21*0.35

=7.35.

hope this helps you dear and have a nice day

The algebraic expression that we can use to find the value of B, the number of free throws that Brian scored is:

B = N + 12.

The given information on this problem is:

N represents the number of free throws that Nathan scored.

We also know that Brian scored 12 more free throws than Nathan.

So, if we define the variable B as the number of free throws that Brian scored, then we can write the relation between B and N as:

B = N + 12.

That is the algebraic expression that we can use to find the value of B, the number of free throws that Brian scored.

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Answer:

a) 2

b) 3

c) 1

hope this helps :)

if I did it right then it's $32.38.

Answer: 1955 and 2005 .

Year

1955

1960

1965

1970

1975

1980

1985

1990

1995

see if i help u now ?

Step-by-step explanation:

To calculate the discharge through the circular channel, we can use Manning's equation, which relates the flow rate (Q) to the channel properties and flow conditions. Manning's equation is given by:

Q = (1/n) * A * R^(2/3) * S^(1/2)

where:

Q is the discharge (flow rate)

n is Manning's coefficient (0.014 in this case)

A is the cross-sectional area of the channel

R is the hydraulic radius of the channel

S is the slope of the channel bed

First, let's calculate the cross-sectional area (A) of the circular channel. The diameter of the channel is given as 6m, so the radius (r) is half of that, which is 3m. Therefore, the area can be calculated as:

A = π * r^2 = π * (3m)^2 = 9π m^2

Next, let's calculate the hydraulic radius (R) of the channel. For a circular channel, the hydraulic radius is equal to half of the diameter, which is:

R = r = 3m

Now, we can calculate the slope (S) of the channel bed. The given slope is 1 in 600, which means for every 600 units of horizontal distance, there is a 1-unit change in vertical distance. Therefore, the slope can be expressed as:

S = 1/600

Finally, we can substitute these values into Manning's equation to calculate the discharge (Q):

Q = (1/0.014) * (9π m^2) * (3m)^(2/3) * (1/600)^(1/2)

Using a calculator, the discharge can be evaluated to get the final result.

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The alternating series error bound for the approximation of the series using 15 terms can be determined. The correct choice among the given options is D) 1/33.

The alternating series error bound provides an upper bound for the error in approximating an alternating series using a finite number of terms. For the series in question, the alternating series error bound is given by the absolute value of the first neglected term.

The given series is an alternating series with the terms (-1)^(n+1)*1/(2n+1). To determine the alternating series error bound, we need to find the absolute value of the first neglected term when we stop at the 15th term.

The 15th term of the series is (-1)^(15+1)1/(215+1) = (-1)^16/(31) = 1/31. Therefore, the absolute value of the first neglected term is 1/31.

Since the question asks for the alternating series error bound, which is the upper bound for the error, we can conclude that the correct choice is D) 1/33, as it is greater than the actual error of 1/31.

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Answer:

600 centimeters

Step-by-step explanation:

one meter is 100 centimeters so 6 meters is 600 centimeters :)

1 meter is 100 centimeters so 6 meter is 600 centimeters

Given:

Two angles form a linear pair.

The measure of one angle is z and the measure of the other angle is 2.4 times z plus 10°.

To find:

The measure of the smallest and biggest angle.

Solution:

Two angles form a linear pair. The measure of one angle is z.

The measure of the other angle is 2.4 times z plus 10°, i.e., \(2.4z+10^\circ\).

We know that if two angles form a linear pair then their sum is 180 degrees.

\(z+(2.4z+10^\circ)=180^\circ\)

\(3.4z=180^\circ -10^\circ\)

\(3.4z=170^\circ\)

Divide both sides by 3.4.

\(z=\dfrac{170^\circ}{3.4}\)

\(z=50^\circ\)

Now, the measure of other angle is:

\(2.4z+10^\circ =2.4(50^\circ)+10^\circ\)

\(2.4z+10^\circ =120^\circ+10^\circ\)

\(2.4z+10^\circ =130^\circ\)

Therefore, the measure of the smaller angle is \(50^\circ\) and the measure of the bigger angle is \(130^\circ\).

Answer:

The biker is traveling at \(5\frac{1}{3}\) miles per hour.

Step-by-step explanation:

To find the rate, in miles per hour, you must use the formula r = d/t.

(r = rate)

(d = distance)

(t = time)

\(\frac{8}{3}\) ÷ \(\frac{1}{2}\) = \(5\frac{1}{3}\)

The function (g+h)(n-4) is the sum of the function g(n-4) and h(n-4) will be written as (g+h)(n-4) = n² - 7n + 9.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The functions are given below.

g(n) = n² + 4n

h(n) = - 3n - 3

The function (g+h)(n) is calculated as,

(g+h)(n) = g(n) + h(n)

(g+h)(n) = n² + 4n - 3n - 3

(g+h)(n) = n² + n - 3

Put n = n - 4, then we have

(g+h)(n-4) = (n - 4)² + (n - 4) - 3

(g+h)(n-4) = n² + 16 - 8n + n - 4 - 3

(g+h)(n-4) = n² - 7n + 9

The function (g+h)(n-4) will be (g+h)(n-4) = n² - 7n + 9.

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The factors by applying distributive property out the greatest common factor is 20(3 - 2y).

For the stated equation;

= 60 − 40 y

Do the prime factorization of the both numbers-

60 = 2×2×3×5

40 = 2×2×2×5

Thus, the greatest common factor from both numbers is-

2×2×5 = 20

Taking 20 common from both terms in equation-

Using distribute property;

= 20(3 - 2y)

Thus, factors by applying distributive property out the greatest common factor is 20(3 - 2y).

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We use Tan in this case:

Tan=(opposite/adjacent)

Tan(36)=23/x

x=23/Tan(36)

x=31.64 length

Hope it helps!

Answer:

x ≈ 31.64

Step-by-step explanation:

Trigonometric ratios

\(\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}\)

where:

Given:

The given trigonometric ratios all use the angle of 36°.

From inspection of the given diagram:

Therefore, we should use the tan trig ratio.

\(\implies \sf \tan(36^{\circ})=\dfrac{23}{x}\)

\(\implies \sf x=\dfrac{23}{\tan(36^{\circ})}\)

Substituting the given value for tan 36°:

\(\implies \sf x \approx \dfrac{23}{0.727}\)

\(\implies \sf x\approx31.64\)

Answer:

 x = 12  or    - 12

Step-by-step explanation:

Answer:

x²=144 so 12²=144 so x is 12

no other value exists except 12

I can borrow $17717.48from E-Loan.

The interest I will pay for the loan is $1,686.52

Now, According to the question:

We know,

The formula of present value is

PV = PMT \((\frac{ 1-(1+i)^-^n}{i} )\)

PMT = The monthly payment = $539

i= Rate of interest per period  = 6%/12 = 0.005

n = The number of month = 36 months

Therefore,

PV = 539\((\frac{ 1-(1+0.005)^-^3^6}{0.005} )\)

    ≈$17717.48

Therefore I can borrow $17717.48 from E-Loan.

The interest = Paid amount - Loan amount

                      =$[(539×36)-17717.48]

                      = $1,686.52

The interest I will pay for the loan is $1,686.52

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The coordinates of the orthocenter of AFGH are approximately (1.9, 2.2).

The orthocenter of triangle AFGH can be found by the intersection of the altitudes from vertices A, B, and C. The equations of the altitudes from vertices F and H can be found by finding the slopes of the lines and plugging in the x and y coordinates of the vertices.

The equation of the altitude from vertex G can then be found by finding the slope perpendicular to the first two lines and plugging in the x and y coordinates of vertex G. The point of intersection of these three lines is the orthocenter of triangle AFGH.

The coordinates of the orthocenter of AFGH are approximately (1.9, 2.2).

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Answer: B

Step-by-step explanation: ik

Answer: A: 210 B: 26.25

Step-by-step explanation: i forgor

a)  The probability that at least 3 people in a random sample of 100 believe they have seen a UFO is approximately 0.001.

b)   The probability that 3 or 4 people in a random sample of 100 believe they have seen a UFO is approximately 0.002.

Assuming "IS" stands for "people in general" and that each person's belief in seeing a UFO is independent of the others:

(a) Let X be the number of people who believe they have seen a UFO out of a random sample of size n = 100. Then X follows a binomial distribution with parameters n = 100 and p = 0.05, where p is the probability of any individual in the sample believing they have seen a UFO.

We want to find P(X ≥ 3), the probability that at least 3 people in the sample believe they have seen a UFO. Using the complement rule and the binomial cumulative distribution function (CDF), we have:

P(X ≥ 3) = 1 - P(X < 3)

= 1 - P(X = 0) - P(X = 1) - P(X = 2)

≈ 0.001

Therefore, the probability that at least 3 people in a random sample of 100 believe they have seen a UFO is approximately 0.001.

(b) We want to find P(3 ≤ X ≤ 4), the probability that 3 or 4 people in the sample believe they have seen a UFO. Using the binomial CDF, we have:

P(3 ≤ X ≤ 4) = P(X = 3) + P(X = 4)

≈ 0.002

Therefore, the probability that 3 or 4 people in a random sample of 100 believe they have seen a UFO is approximately 0.002.

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To solve this, you need to plug in the numbers for h.

-4(-12) ≥ 8       48 ≥ 8  yes

-4(-7) ≥ 8         28 ≥ 8  yes

-4(-5) ≥ 8        20 ≥ 8  yes

-4(-3) ≥ 8        12 ≥ 8  yes

-4(-2) ≥ 8         8 ≥ 8  yes

-4(-1) ≥ 8         4 ≥ 8  no

-4(1) ≥ 8          -4 ≥ 8  no

-4(3) ≥ 8         -12 ≥ 8 no

-4(8) ≥ 8         -32 ≥ 8  no

Hope this helped!

Answer:

exponential

Step-by-step explanation:

This is exponential because each time the y value is being multiplied by 5 (consistent ratio)

a) To obtain the potential pressure drop in the wellbore, we can use the hydrostatic pressure equation.

The potential pressure drop is equal to the pressure gradient multiplied by the length of the wellbore. The pressure gradient can be calculated using the equation: Pressure gradient = (density of oil × acceleration due to gravity) × sin(θ), where θ is the deviation angle of the wellbore from horizontal flow. In this case, the pressure gradient would be (48 lbm/ft^3 × 32.2 ft/s^2) × sin(15°). Multiplying the pressure gradient by the wellbore length of 6,000 ft gives the potential pressure drop.

b) To determine the frictional pressure drop in the wellbore, we can use the Darcy-Weisbach equation. The Darcy-Weisbach equation states that the pressure drop is equal to the friction factor multiplied by the pipe length, density, squared velocity, and divided by the pipe diameter. However, to calculate the friction factor, we need the Reynolds number. The Reynolds number can be calculated as (density × velocity × diameter) divided by the oil viscosity. Once the Reynolds number is known, the friction factor can be determined. Finally, using the friction factor, we can calculate the frictional pressure drop.

c) To calculate the in-situ oil velocity, we need to consider the total volume of the pipe, including both oil and gas. The total pipe volume is calculated as the pipe cross-sectional area multiplied by the wellbore length. Subtracting the gas volume from the total volume gives the oil volume. Dividing the oil volume by the total time taken by the oil to flow through the pipe (converted to seconds) gives the average oil velocity.

d) The flow regime of the two-phase flow can be determined based on the oil and gas mixture properties and flow conditions. Common flow regimes include bubble flow, slug flow, annular flow, and mist flow. These regimes are characterized by different distribution and interaction of the oil and gas phases. To determine the specific flow regime, various parameters such as gas and liquid velocities, mixture density, viscosity, and surface tension need to be considered. Additional information would be required to accurately determine the flow regime in this scenario.

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Answer:

2.35cm

Step-by-step explanation:

Given data

Volume= 124cm^3

Height= 7.1cm

The expression for the volume of a cylinder is given as

V= πr^2h

substitute

124=3.142*r^2*7.1

124=22.3082r^2

r^2= 124/22.3082

r^2= 5.55

r= √5.55

r=2.35cm

Hence the radius of the cylindrical bottle is 2.35cm

42 is value of ∠JNM because ∠JNM & ∠KNL are vertically opposite angles.

What is vertically opposite angles?

∠JNM = ∠KNL

4x + 6 = 7x - 21

7x - 4x = 21 + 6

   3x = 27

   x = 27/3

   x = 9

∠JNM = 4 * 9 + 6 = 36 + 6

∠JNM =  42

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Answer:

47

Step-by-step explanation:

3 × 5 × (5-2) + 2

15 × (3) + 2

45 + 2

= 47

Answer:

1

Step-by-step explanation:

2÷2=1

Answer:

b=2 a=5

Step-by-step explanation:

Probability for the number of correct answers  is fewer than 4 is 0.3993.

The probability that the number x of correct answers is fewer than 4 can be found using the binomial probability formula:

P(X = x) = (n choose x) * p^x * (1-p)^(n-x)

Where n is the number of trials, x is the number of successes, and p is the probability of success.

For this problem, n = 8, p = 0.45, and we want to find P(X < 4).

To find P(X < 4), we need to find the probability of 0, 1, 2, and 3 correct answers and add them together:

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

Using the binomial probability formula, we can find each of these probabilities:

P(X = 0) = (8 choose 0) * 0.45^0 * (1-0.45)^(8-0) = 0.0059
P(X = 1) = (8 choose 1) * 0.45^1 * (1-0.45)^(8-1) = 0.0416
P(X = 2) = (8 choose 2) * 0.45^2 * (1-0.45)^(8-2) = 0.1275
P(X = 3) = (8 choose 3) * 0.45^3 * (1-0.45)^(8-3) = 0.2243

Adding these probabilities together, we get:

P(X < 4) = 0.0059 + 0.0416 + 0.1275 + 0.2243 = 0.3993

Therefore, the probability that the number x of correct answers is fewer than 4 is 0.3993.

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