For what value of b, would the equation 34(12x−9)+b4=5−3(2−3x) have infinitely many solutions? Enter the numerical value only

There is more variability on glasses of doctor B's dataset than the glasses of doctor A's dataset

The dataset of doctor A is given as:

643 634 670 658 636 624 641 655 649 629

The dataset of doctor B is given as:

651 625 622 624 631 621 653 647 646 646

Using a statistical calculator, we have:

Doctor A

Hence, the mean absolute deviation is 11.28 for Doctor A’s and 12 for Doctor B’s data set on glasses

In a dataset, the larger the mean absolute deviations value, the larger the variation.

By comparison, 12 is greater than 11.28

Hence, there is more variability on glasses of doctor B's dataset than the glasses of doctor A's dataset

Read more about mean absolute deviation at:

brainly.com/question/3250070

#SPJ1

The volume of the resulting solid is approximately 904.78 cubic units.

To find the volume of the resulting solid, we can subtract the volume of the smaller ball (the hole) from the volume of the larger ball. The volume of a sphere is given by the formula:

where V is the volume, r is the radius of the sphere, and π is approximately equal to 3.14.

Using this formula, we can find the volume of the larger ball:

We can then find the volume of the smaller ball (the hole):

Subtracting the volume of the smaller ball from the volume of the larger ball gives us the volume of the resulting solid: 4188.79 cubic units - 113.04 cubic units = approximately 904.78 cubic units. This is the volume of the resulting solid.

Learn more about Volume here:

https://brainly.com/question/463363

#SPJ4

Answer:

DE = 81

Step-by-step explanation:

The sides of a rhombus are congruent , thus

9z = z + 72 ( subtract z from both sides )

8z = 72 ( divide both sides by 8 )

z = 9

Then

BC = 9z = 9 × 9 = 81

Since the sides are congruent, then DE = 81

Answer:

-132

Step-by-step explanation:

x/12 = -11

⋅ 12 = ⋅ 12

x = -132

Answer:

f(-8) = 10

Step-by-step explanation:

f(x) = x + 18

f(-8) = -8 + 18 = 10

The domain and the range of the radical function f(x) = √(x - 5) + 10 are x ≥ 5 and y ≥ 10, respectively.

In this problem we must determine the domain and range of a radical function of the form:

f(x) = √(a · x - b) + c

Where a, b, c are real coefficients.

The domain of the function is the set of x-values such that f(x) exists. The range is the set of values of f(x). Regarding the radical function, the expression have the following features:

a · x - b ≥ 0

a · x ≥ b

If a ≥ 0, then:

x ≥ b / a

But if a < 0, then:

x ≤ b / a

And range is every value of f(x) such that x ≥ b / a for a ≥ 0 or x ≤ b / a for a < 0. If we know that a = 1, b = 5 and c = 10, then the domain and range of the radical function:

Domain

x ≥ 5 / 1

x ≥ 5

Range

y ≥ 10

To learn more on domain and range of functions: https://brainly.com/question/28135761

#SPJ1

The probability that a student owns a car or a computer is 0.45 and the probability that a student does not own a car or a computer is 0.

So, we know that:

Students who own a car: 0.65 ⇒ 65

Students who own a Computer: 0.82 ⇒ 82

Students who own both: 0.55 ⇒ 55

Probability formula: Favourable events/Total events

The probability that a student owns a car or a computer:

Favourable events: 100 - 55 = 45

P(E) = Favourable events/Total events

P(E) = 45/100

P(E) = 0.45

The probability that a student does not own a car or a computer:

Favourable events: 0

P(E) = Favourable events/Total events

P(E) = 0/100

P(E) = 0

Therefore, the probability that a student owns a car or a computer is 0.45 and the probability that a student does not own a car or a computer is 0.

Know more about probability here:

https://brainly.com/question/28924396

#SPJ4

Reason:

Whenever you have two groups like this, one labeled the treatment group and the other the control group, we have an experiment gong on.

The treatment group gets the actual medication that is being tested. The control group gets a fake medication, aka placebo. Usually a placebo is meant for humans because it's more of a psychological factor. With cats, it likely won't affect them. However, such practices of having two groups like this is standard no matter what group of subjects you're testing.

The idea is that if the treatment group has better results compared to the placebo group, then it's likely the medication works.

Answer:

52, 53, 54, pack 1.

Step-by-step explanation:

1)

1.56 = 30

10 = 1.56 / 3

10 = 52 pence

2)

2.12 = 40

10 = 2.12 / 4

10 = 53 pence

3)

3.78 = 70

10 = 3.78 / 7

10 = 54 pence

The cheapest one is the small pack

If a relationship R fulfills the three conditions of being transitive, symmetric, and reflexive, then R is said to be an equivalence relation.

When (a, a) € R for any element a € A, we say that R is reflexive on A.

When (b, a) €R for every (a, b) €R, we say that the relation R on A is symmetric.

If (a.b) € R and (b, c) € R implies (a, c) € R, then R is transitive on A.

If you have an a, you may think of all the components that are equivalent to it as its equivalence class.

A=College buildings

We need to define three sets of things that are the same. For instance:

R1 = "(a, b) Both a and b have the same number of rooms."

R2=(a,b): Both a and b have the same number of floors.

R3=(a,b), which means that both a and b have the same number of windows.

Note: If the statement says that a and b have the same property, the relation is probably an equivalence relation.

The set of all elements that are related to an is its equivalence class.

[a]R1,= {b|b has the same number of rooms as a}

[a]R2 = {b|b has the same number of floors as a}

[a]R3= {b|b has the same number of windows as a}

Learn more about equivalence relations here- https://brainly.com/question/15828363

#SPJ4

Answer:

Step-by-step explanation:

\((\frac{13 - \sqrt{57} }{8} , \frac{13 + \sqrt{57} }{8} )\)

Answer:

x = 180-35 = 145

y = 35

Hope it helps

5(6-2) represents a number that is five times the difference of six and two.

Answer:

x = 2

Step-by-step explanation:

5(2x-6) +20 =10

Open up the brackets.

10x - 30 +20 =10

10x - 10 =10

Add 10 to both sides.

10x - 10 (+10) = 10 (+10)

10x = 20

Divide both sides by 10

10x/10 = 20/10

x = 2

Answer:

d) 2

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

By geometric mean theorem:

\( {y}^{2} = 7 \times 3 \\ \\ {y}^{2} = 21 \\ \\ \huge \: y = \sqrt{ \boxed{21}} \)

The value of y in the given triangle  \(\sqrt{21}\)  is calculated using the Pythagorean theorem.

The Pythagorean Theorem states that the hypotenuse, or side opposite the right angle, of a right triangle, which is represented by the square, is equal to the sum of the squares on the legs of the triangle (or, in popular algebraic notation, a² + b² = c².

Given a triangle where the hypotenuse is 10 and base is z and the perpendicular is x.

From the Pythagorean theorem

x² + z² = 10²......(1)

Since there is a perpendicular drawn from the base angle to the hypotenuse whose length is y. Thus it will also make a right-angle triangle inside the first triangle. After applying the Pythagorean theorem on both triangles we will get the:

y² + 7² = x².......(2)

y² + 3³ = z².......(3)

Putting the values from Equations 2 and 3 into equation 1

y² + 7² + y² + 3³ = 10²

Simplifying the equation

2y² = 100 -49 - 9

2y² = 42

y² = 21

y = √21

Therefore the triangle's y value in the example is \(\sqrt{21}\) using the Pythagorean theorem to calculate.

Learn more Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ2

Kyle's estimate of 9 was not very accurate, but his calculated answer of 9 1/24 is a reasonable approximation of the sum.

To determine if Kyle's calculated answer is reasonable, we can compare it to the original sum of 3 1/6 + 5 7/8.

First, we need to convert the mixed numbers to improper fractions:

3 1/6 = 19/6

5 7/8 = 47/8

Next, we can add the fractions:

19/6 + 47/8 = (152 + 141)/48 = 293/48

Now, we can compare this exact sum to Kyle's estimated answer of 9 and his calculated answer of 9 1/24.

Kyle's estimated answer of 9 is much larger than the exact sum of 6 5/48.

Thus, Kyle's estimate of 9 was not very accurate, but his calculated answer of 9 1/24 is a reasonable approximation of the sum.

Learn more about the estimation here:

https://brainly.com/question/13486890

#SPJ4

Answer: 128cm^2

Step-by-step explanation: Hope it helped

By the radius-tangent theorem, the radius is equal to 39/10 units.

In Euclidean geometry, Pythagorean's theorem is given by this mathematical expression:

a² + b² = c²

Where:

a, b, and c represents the side lengths of a right-angled triangle.

Since CB is tangent to OA at point C and line segment CB is perpendicular to line segment AC by the radius-tangent theorem, we would determine the radius by applying Pythagorean's theorem as follows;

r^2 + 8^2 = (r + 5)^2

r^2 + 64 = r^2 + 10r + 25

r^2 - r^2 = -10r + 64 - 25

10r = 39

r = 39/10 units.

Read more on Pythagorean theorem here: https://brainly.com/question/9892082

#SPJ1

The coordinates of B are (-2 , 9)

Step-by-step explanation:

A (8, 4)

M (3 , -1)

To calculate a midpoint you have to add the corresponding coordinates of each point and divide them by 2

(Ax + Bx) / 2 = Mx

(8 + Bx) / 2 = 3

8 + Bx = 3 * 2

Bx = 6 - 8

Bx = -2

(Ay + By) / 2 = My

( -1 + By) / 2 = 4

-1 + By = 4 * 2

By = 8 + 1

By = 9

The coordinates of B are (-2 , 9)

The value of derivative ∂w/∂v when u=0, v=0 is equal to 22.

To compute the value of  ∂w/∂v, we can use the chain rule and find the partial derivatives of w with respect to y and x, and the partial derivative of and y with respect to v:

∂w/∂v = (∂w/∂x) * (∂x/∂v) + (∂w/∂y) * (∂y/∂v)

Here , ∂w/∂x = 2xy = 2(2u-v+1)(4u+6v−5)

∂w/∂y = x^2 = (2u-v+1)^2

∂x/∂v = -1

∂y/∂v = 6

By substituting these values u=0, v=0, we get:

∂w/∂v =  2(2u-v+1)(4u+6v−5)*-1 +  (2u-v+1)^2 *6

When u=0 and v=0,

∂w/∂v =  2(1)(−5)*-1 +  (1)^2 *6 = 22

Hence the value of ∂w/∂v = 22.

To learn more about chain rule,

brainly.com/question/30396691

#SPJ4

The correct question is given below-

find ∂w/∂v when u=0, v=0 if w=x2*y x, x=2u−v+ 1, y=4u+ 6v−5.

I hope this is the answer

Answer:

12 million dollars

Step-by-step explanation:

There are 24 green things in total

24 * 500,000 = 12,000,000

Hey there!

If $ = 500,000, use it to solve for this problem.

Remember “all together”, “total”, “sum” or “in all” means to add. So let’s ADD the numbers together to find the result.

Education: 500,000 + 500,000 + 500,000 + 500,000 + 500,000 + 500,000 + 500,000 + 500,000

Health: 500,000 + 500,000 + 500,000 + 500,000

Prisons: 500,000 + 500,000 + 500,000 + 500,000 + 500,000 + 500,000

Public Services: 500,000 + 500,000 + 500,000

Others: 500,000 + 500,000 + 500,000

Guide:

E = Education

H = Health

P = Prisons

P.S. = Public Services

O = Others

E =

500,000 + 500,000 + 500,000 + 500,000 + 500,000 + 500,000 + 500,000 + 500,000

= 1,000,000 + 1,000,000 + 1,000,000 + 1,000,000

= 2,000,000 + 2,000,000

= 4,000,000

Total of Education: 4,000,000

H =

500,000 + 500,000 + 500,000 + 500,000

= 1,000,000 + 1,000,000

= 2,000,000

Total of Health: 2,000,000

P =

500,000 + 500,000 + 500,000 + 500,000 + 500,000 + 500,000

= 1,000,000 + 1,000,000 + 1,000,000

= 2,000,000 + 1,000,000

= 3,000,000

Total of Prisons: 3,000,000

Public Services =

500,000 + 500,000 + 500,000

= 1,000,000 + 500,000

= 1,500,000

Total of Public Services

Other =

500,000 + 500,000 + 500,000

= 1,000,000 + 500,000

= 1,500,000

Total of Others: 1,500,000

Now that we figured out the total amount of the occupations, we can solve for your official answer!

Here’s the equation:

4,000,000 + 2,000,000 + 3,000,000 + 1,500,000 + 1,500,000

= 6,000,000 + 4,500,000 + 1,500,000

= 10,500,000 + 1,500,000

= 12,000,000

Therefore, your answer is: 12,000,000

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

The expression for the power delivered to a resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).

According to the given information, the power delivered to a resistance R when an alternating current of frequency f and peak current I_0 passes through it is represented by the equation P = I^2_0 R sin^2 2 pi ft.

To express this equation in terms of csc^2 2 pi ft, we can use the trigonometric identity csc^2 x = 1/sin^2 x. Substituting this identity into the equation, we get P = I^2_0 R (1/sin^2 2 pi ft).

Since csc^2 x is the reciprocal of sin^2 x, we can rewrite the equation as P = I^2_0 R (csc^2 2 pi ft). This expression represents the power delivered to the resistance in terms of csc^2 2 pi ft.

Therefore, the correct expression for the power delivered to the resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).

Learn more about resistance here:

https://brainly.com/question/33728800

#SPJ11

Answer:

\(\text { The volume }=288 \mathrm{ft}^{3}\)

Step-by-step explanation:

let V be the volume of the prism

    B The area of the base which is a triangle

    h is the height of the prism

______

Formula:

V = B × h

________

\(\begin{aligned}B &=\frac{9 \times 4}{2} \\&=\frac{36}{2} \\&=18\end{aligned}\)

h = 16

Now we calculate:

\(\begin{aligned}V &=B \times h \\&=18 \times 16 \\&=288\end{aligned}\)

The expected population size be after two generations which has a current size of 150 and λ of 1.2 is 216.

Nt = N₀ × λ^t

Nt = Population size at generation t

N₀ = Current population size

t = Number of generations

λ = Finite rate of increase

λ = 1.2

N₀ = 150

Nt = 150 × 1.2²

Nt = 150 × 1.44

Nt = 216

Population size is defined as the number of individuals present in a designated region. Finite rate of increase is the ratio of population size from increase from one year to the next.

Therefore, the expected population size be after two generations is 216

To know more about expected population size here:

brainly.com/question/20598565

#SPJ1

Therefore, the integral is given by\(7 [(t^3 + 3t)/3 - 2(t + 1/t)] + 14t^-1 - 7t^-3 + C\) of the given equation.

We have to evaluate the integral using the given function. The given function is: \(7 tan^2(x) tan^4(x) dx\) Integral is given as:integral \(7 tan^2(x) tan^4(x) dx\)

Step 1:We can rewrite \(tan^4(x) as tan^2(x) × tan^2(x).\)Therefore, the given integral becomes integral \(7 tan^2(x) × tan^2(x) × tan^2(x) dx\)

Step 2:We can rewrite the term \(tan^2(x) as sec^2(x) - 1\).Therefore, the given integral becomes integral 7 (sec^2(x) - 1) × (sec^2(x) - 1) × tan^2(x) dx

Step 3:Let’s assume t = tan(x).Hence, \(dt/dx = sec^2(x)dx and dx = dt/sec^2(x)\) After substitution, the given integral becomes\(∫7 (t^2 + 1 - 1/t^2) (t^2 + 1 - 1/t^2) dt/t^2\)

Step 4:Simplifying the expression, we get\(7 ∫(t^2 + 1)^2/t^2 dt - 7 ∫dt/t^2 - 7 ∫1/t^4 dtOn solving the above integral, we get7 ∫(t^4 + 2t^2 + 1)/t^2 dt - 7 ∫dt/t^2 + 7 ∫t^-4 dt\)

Step 5:Solving the integral\(7 ∫(t^4 + 2t^2 + 1)/t^2 dt = 7 ∫(t^2 + 2 + 1/t^2) dt= 7 ∫(t^2 + 1/t^2) dt + 14∫ dt Using the formula, a^2 + 2ab + b^2 = (a + b)^2 and substituting t + 1/t = u, we can write the above integral as∫(t^2 + 1/t^2) dt = ∫(t + 1/t)^2 - 2 dt= ∫u^2 - 2 du= u^3/3 - 2u + C= (t^3 + 3t)/3 - 2(t + 1/t) + C\)

After substitution, we get

\(7 [(t^3 + 3t)/3 - 2(t + 1/t)] + 14t^-1 - 7t^-3 + CTherefore, the integral is given by7 [(t^3 + 3t)/3 - 2(t + 1/t)] + 14t^-1 - 7t^-3 + C.\)

To know more about integral Visit:

https://brainly.com/question/31059545

#SPJ11

Hello there!

The GCF of 80 and 20 is 20.

Because both numbers are evenly divisible by 20; this is their greatest common factor (GCF)

Hope this helps you!

~Just a felicitous girlie

#HaveAnAwesomeDay

\(SilentNature\)

Answer:

The rate of change in the car is -$2695 per annum