PLS Help.............................

Answer:

\(q\ge \frac{5}{3}\\\\q\geq 1\frac{2}{3}\)

Step-by-step explanation:

\(6-3q\leq 1\\\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\\\6-3q-6\le \:1-6\\\\Simplify\\\\-3q\le \:-5\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\left(-3q\right)\left(-1\right)\ge \left(-5\right)\left(-1\right)\\\\Simplify\\\\3q\ge \:5\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\\\frac{3q}{3}\ge \frac{5}{3}\\\\Simplify\\\\q\ge \frac{5}{3}\\\\q\geq 1\frac{2}{3}\)

Answer:

wdym? like the app remind?

Answer:

you have to download the remind app

(a) A nonzero vector orthogonal to the plane through the points P, Q, and R is (9, -17, 35). (b) The area of triangle PQR is \(\sqrt\)(811) / 2.

(a) To determine a nonzero vector orthogonal to the plane through the points P, Q, and R, we can first find two vectors in the plane and then take their cross product. Taking vectors PQ and PR, we have:

PQ = Q - P = (5, 1, -2) - (-4, 0, 0) = (9, 1, -2)

PR = R - P = (6, 4, 1) - (-4, 0, 0) = (10, 4, 1)

Taking the cross product of PQ and PR, we have:

n = PQ x PR = (9, 1, -2) x (10, 4, 1)

Evaluating the cross product gives n = (9, -17, 35). Therefore, (9, -17, 35) is a nonzero vector orthogonal to the plane through points P, Q, and R.

(b) To determine the area of triangle PQR, we can use the magnitude of the cross product of vectors PQ and PR divided by 2. The magnitude of the cross product is given by:

|n| = \(\sqrt\)((9)^2 + (-17)^2 + (35)^2)

Evaluating the magnitude gives |n| = \(\sqrt\)(811).

The area of triangle PQR is then:

Area = |n| / 2 = \(\sqrt\)(811) / 2.

To know more about nonzero vector refer here:

https://brainly.com/question/32673773#

#SPJ11

The volume of the ring-shaped solid that remains after drilling is 3961.73cm³.

The radius of the cylindrical drill is 5cm and the radius of the sphere is found to be 10cm.

After drilling,

The radius of the of the sphere will act as a hypotenuse to the triangle where the base is the radius of the cylinder and the perpendicular is the height of the cylinder.

So, we can say,

Height H of cylinder = √(10² - 5²)

Height H of cylinder = 8.66 cm.

The volume V of the ring shape remaining,

V = Volume of sphere - volume of cylinder

V = 4/3πR³ - 1/3πr²H

R is the radius of sphere and r is the radius of cylinder,

Putting values,

V = 4/3π(10)³ - 1/3π(5)²8.66

V = 3961.73 cm³.

So, the volume that remains is 3961.73cm³.

To know more about sphere, visit,

https://brainly.com/question/463363

#SPJ4

The expected loss without the generator ($495,000) is less than the cost of installing the generator ($800,000), it would not be economically justifiable for the bank to install the new power generator based on this decision tree analysis.

The management of First American Bank faces a decision regarding the installation of an emergency power generator to mitigate potential losses from physical catastrophes such as power failures or fires.

To evaluate this decision, we can use decision tree analysis.

Without the generator, there is a 10% chance of a power outage. In the event of an outage, there is a 0.05 probability of very large losses ($80 million) and a 0.95 probability of slight losses ($1 million). To calculate the expected loss from not installing the generator, we can use the following formula:

Expected loss = (probability of outage) x [(probability of large loss x large loss amount) + (probability of slight loss x slight loss amount)]

Expected loss = 0.1 x [(0.05 x $80 million) + (0.95 x $1 million)]
Expected loss = 0.1 x [$4 million + $950,000]
Expected loss = 0.1 x $4.95 million
Expected loss = $495,000

Now let's compare this expected loss to the cost of installing the emergency power generator, which is $800,000. Since the expected loss without the generator ($495,000) is less than the cost of installing the generator ($800,000), it would not be economically justifiable for the bank to install the new power generator based on this decision tree analysis.

To learn more about probability  click here

brainly.com/question/30034780

#SPJ11

Answer:

(-4, 2)

Step-by-step explanation:

5x + 15y = 10 ---› Eqn. 1

5x - 10y = -40 ---› Eqn. 2

Subtract the eqn 2 from 1 to eliminate the x variable

Thus:

25y = 50

Divide both sides by 25

y = 50/25

y = 2

Substitute y = 2 into eqn 1.

5x + 15y = 10 ---› Eqn. 1

5x + 15(2) = 10

5x + 30 = 10

Subtract 30 from each side

5x = 10 - 30

5x = -20

Divide both sides by 5

5x/5 = -20/5

x = -4

Solution would therefore be (-4, 2)

Answer:

(625 - 121)(625 + 121)

Step-by-step explanation:

625² - 121² ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

then

625² - 121²

= (625 - 121)(625 + 121) ← in factored form

The value of 19 cubes is equal to 6859. The correct option is D.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the number is 19. The cube of 19 will be calculated as:-

19³ = 19 x 19 x 19

19³ = 6859

The cube of 19 is calculated by multiplying the number three times. Hence, the cube of 19 is 6859.

To know more about an expression follow

https://brainly.com/question/1615668

#SPJ2

Answer:

\( - \frac{8}{5} \)

The destructive interference formula for diffraction grating problems is \(d\ sin(\theta) = (n+\dfrac{1}{2} )\lambda\).

When the maxima of two waves are 180 degrees out of phase, destructive interference occurs: a positive displacement of one wave is cancelled exactly by a negative displacement of the other wave. The resultant wave has zero amplitude.

In a diffraction grating, the formula for brighter patches arising from constructive interference and darker patches arising from destructive interference is:

\(d\ sin(\theta) = n\lambda\)

Here, d is the grating spacing, θ is the angle of light, n represents the fringe order, and w denotes the wavelength.

The value of N can only be integers values.

Now, Because destructive interference occurs between the fringes, the destructive interference formula is

\(d\ sin(\theta) = (n+\dfrac{1}{2} )\lambda\)

where n is again an integer.

Hence, the destructive interference formula for diffraction grating problems is \(d\ sin(\theta) = (n+\dfrac{1}{2} )\lambda\).

Learn more about Destructive Interference:

https://brainly.com/question/16098226

Answer:

3√(-2a)^4

Step-by-step explanation:

or If u want to further simplify distribute the power 4 onto the -2 and a and it will become 3rd root of -8a^4

False. In the position coordinate system, P(r,θ), r represents the radial coordinate, while θ represents the angular coordinate, not the transverse coordinate.

The transverse coordinate is typically denoted by z and is used in three-dimensional Cartesian coordinates (x,y,z) to represent the position of a point in space.

In polar coordinates, such as P(r,θ), r represents the distance from the origin to the point, while θ represents the angle between the positive x-axis and the line connecting the origin to the point. Together, they determine the position of a point in a two-dimensional plane. The radial coordinate gives the distance from the origin, while the angular coordinate determines the direction or orientation of the point with respect to the reference axis.

Learn more about Coordinates here:

brainly.com/question/32836021

#SPJ11

Answer:

12.  & 2.5mins

Step-by-step explanation:

2 hours = 120 mins for 48 baguettes.  so 120/48 = 2.5 mins per baguette

30 mins is 1/4 of 2 hours. so 12  baguettes

Answer:

No question.

Step-by-step explanation:

The complete chart here is

|---Simplify the Polynomial---|--Degree--|--Leading Coefficient--|--Constant--|

|------7a^4 - 3a^3 - 2a + 2------|------4-------|---------------7----------------|--------2-------|

Explain polynomial

A polynomial is a mathematical expression consisting of variables, coefficients, and exponents, combined using mathematical operations such as addition, subtraction, multiplication, and exponentiation. Polynomials can have one or more terms and are commonly used to model relationships in science and engineering.

What is meant by coefficient?

The coefficient is a numerical factor that is multiplied by a variable or a product of variables in an algebraic expression or equation.

According to the given information

To add the two polynomials, we combine like terms. That is, we add the coefficients of terms that have the same degree.

(7a⁴ - 6a³ + 1) + (3a³ - 2a + 1)

= 7a⁴ + (-6a³ + 3a³) + (-2a) + (1 + 1)

= 7a⁴ - 3a³ - 2a + 2

So, the simplified polynomial is `7a⁴ - 3a³ - 2a + 2`.

The degree of this polynomial is `4` since the term with the highest degree is `7a⁴`.

The leading coefficient of this polynomial is `7` since it is the coefficient of the term with the highest degree.

The constant term of this polynomial is `2` since it is the term with a degree of `0`.

To know more about polynomial visit

brainly.com/question/26227783

#SPJ1

Answer:

the odds that it not blue is 9 /13 or .692

Step-by-step explanation:

When we have an inverse function, the domain and range are switched.

All x-coordinates become y-coordinates and vice-versa.

So, if the point (-7, -5) is a solution of h(x), the point (-5, -7) is a solution of h^-1(x)

If the point (-1, -2) is a solution of h(x), the point (-2, -1) is a solution of h^-1(x).

Therefore, the endpoints of the segment that represents the inverse function are the points (-5, -7) and (-2, -1).

Hello.

First, "twice a number" means we multiply 2 times that number.

Let the number be s.

Now, the sum of 2 times s and 5 is 21.

The product of 2 and s can be written like so:

\(\sf{2s\)

Now, the sum of 2s and 5 is 21:

\(\sf{2s+5=21\)

Subtract 5 from both sides:

\(\sf{2s=21-5\)

\(\sf{2s=16}\)

Now, divide both sides by 2:

\(\Large\boxed{\sf{s=8}}\)

I hope it helps.

Have a nice day.

\(\boxed{imperturbability}\)

x = 8

Step-by-step explanation:

Let the required number be x.

According to the given question,

=> 2x + 5 = 21

=> 2x = 21 - 5

=> 2x = 16

=> x = 16/2

=> x = 8

Answer:

28 cm²

Step-by-step explanation:

Given:

Parallelogram with 2 given sides, 4cm and 7cm respectively, and angle between them = 100°

Required:

Area of the parallelogram to 2 significant figure.

Solution:

Area of the parallelogram = a*b*sin(θ)

a = 4cm

b = 7 cm

θ = 100°

Area of parallelogram = 4*7*sin(100)

Area = 28*0.9848

Area = 27.57

Area of parallelogram to 2 significant figure = 28 cm²

Answer:

6(2x - 5)

Step-by-step explanation:

The greatest common factor of 12x and 30 is 6.

12x - 30 = 6(2x - 5)

Heya ~

\(\sf{= \: 6 \: (2x \: - \: 5)}\)

\(\huge \boxed {\underline{Explanation :}}\)

\(\sf{12x \: - \: 30}\)

\(\sf{Rewrite~ 12~ as ~6 ~^. ~2}\)

\(\sf{Rewrite~ 30~ as ~6 ~^. ~5}\)

\(\sf{= 6~^.~2x~-~6~^.~5}\)

\(\sf{Factor~out~the~common~term~6}\)

\(\sf{= \: 6 \: (2x \: - \: 5)}\)

Hope It Helps ! ~

#LearnWithBrainly

\(\underline{Answer~:}\)

Jace ~

Answer:

3y

Step-by-step explanation:

Step-by-step explanation:

=6+4-7y

= 10-7y

the answer is 10-7y

Answer:

4 gallons

Step-by-step explanation:

We first need to find how many cups she will make this year.

She made two times last year's amount, so that will be:

2 * 32 = 64 cups

Let us convert cups to gallons:

1 cup = 0.0625 gallons

64 cups = 64 * 0.0625 = 4 gallons

She will make 4 gallons this year.

Answer:

It's not divisible

Step-by-step explanation:

18x²+11x+1

= 18x²+9x+2x+1

= (9x+1)(2x+1)

So, you see there's no terms (x+2) so it's not divisible

Although if you simplify it, it'll look like,

18x+51/(x+2)-25

So you can't remove the (x+2)

The graph of the parametric equations x = -2cos(t) and y = -sin(t) within the range 0 ≤ t < 2π is an ellipse centered at the origin, with the major axis along the x-axis and a minor axis along the y-axis.

To sketch the graph of the parametric equations x = -2cos(t) and y = -sin(t), where 0 ≤ t < 2π, we need to plot the coordinates (x, y) for each value of t within the given range.

1. Start by choosing values of t within the given range, such as t = 0, π/4, π/2, π, 3π/4, and 2π.

2. Substitute each value of t into the equations to find the corresponding values of x and y. For example, when t = 0, x = -2cos(0) = -2 and y = -sin(0) = 0.

3. Plot the obtained coordinates (x, y) on a graph, using a coordinate system with the x-axis and y-axis. Repeat this step for each value of t.

4. Connect the plotted points with a smooth curve to obtain the graph of the parametric equations.

The graph will be an ellipse centered at the origin, with the major axis along the x-axis and a minor axis along the y-axis. It will have a vertical compression and a horizontal stretch due to the coefficients -2 and -1 in the equations.

Learn more About parametric equations from the given link

https://brainly.com/question/30451972

#SPJ11

The statement is false.

The slope of the line is -6/5

It is important to note that the formula for the equation of a line is given as;

y = mx + c

Where;

The formula for slope of a line is expressed as;

Slope, m = y₂ - y₁/x₂ - x₁

Given the points,

A(-2. 4)

B (3, -2)

Substitute the values

Slope, m = -2 - (4)/3 - (-2)

simply the values

Slope, m = -2- 4/3 + 2

Add or subtract the values

Slope, m = -6/5

Hence, the value is -6/5

Learn more about slope here:

https://brainly.com/question/3493733

#SPJ1

Answer:

5x+32

Step-by-step explanation:

So write out as an expression

Amy= x

Baz = x+8

Carla = 3(x+8)

Total= x +x + 8 +3x+ 24

= 5x+32

Answer:

it would be 12x 26y doe to the problem