What is the smaller zero of x2-144?

Answer:

A or B

Step-by-step explanation:

A=hbb

2=27·36

2=446

The value of x is 1.

Dilation means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.

Given

Dimension of parallelogram P 10 and x + 3.

Dimension of parallelogram P' 20 and 8.

The value of x.

Lenght of P' = Dilation x Lenght of P

              20 = Dilation x 10

      Dilation = 2

Then

width of P' = Dilation x width of P

8 = 2 (x + 3)

4 = x + 3

x = 1

So the value of x is 1.

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Answer:

the value of x is 1

Step-by-step explanation:

Answer:

girls = 61

boys = 73

Step-by-step explanation:

Let x = number of girls

Let y = number of boys

Given the difference between the number of the girls and the number of the boys in the outdoors club is 12:

⇒ y - x = 12

Given there are 4 times the number of the girls decreased by 25 equals 3 times the number of the boys:

⇒ 4x - 25 = 3y

Rearrange x - y = 12 to make y the subject:

⇒ y = 12 + x

Substitute x = 12 + y into 4x - 25 = 3y and solve for y:

⇒ 4x- 25 = 3(12 + x)

⇒ 4x- 25 = 36 + 3x

⇒ x = 61

Now we have found the value of x, substitute this into y = 12 + x and solve for y:

⇒ y = 12 + 61

⇒ y = 73

Answer:

Consecutive interior angles

x = -10

Step-by-step explanation:

They are consecutive interior angles because they both are in the interior of the parallel lines.

Consecutive interior angles add up to 180 degrees. So, you can set it up like this:

x + 105 + x + 95 = 180

Now solve for x

2x + 200 = 180

2x = -20

x = -10

So, x is equal to -10.

Check:

(-10 + 105) + (-10 + 95) = 180

95 + 85 = 180

180 = 180

Hope this helps!!

- Kay :)

Answer:

90

Step-by-step explanation:

180 divided by 2 is 90

~Stay Safe, I Guess ^-^

Step-by-step explanation:

tttttttttttttttttttttttttttt

The required number of ways to select the students for the committee are  a) 3475231936 b ) 2759743008.

A combination is a numerical strategy that decides the quantity of potential game plans in an assortment of things where the request for the determination doesn't make any difference. In mixes, you can choose the things in any request. Mixes can be mistaken for stages.

We have 19 freshmen and 34 sophomores.

a) Number of ways to make committee of 3 freshmen and 5 sophomores,

= ¹⁹C₃ × ³⁴C₅

= 3475231936 ways

b) Number of ways can a committee with exactly 1 freshman,

= ¹⁹C₁ × ³⁴C₇

= 2759743008 ways

Thus, required number of ways are a) 3475231936 b ) 2759743008.

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(27d^(2))/(8c^(2)) contains the C term with the same exponent and the d term with a different exponent as compared to the given expression.  The correct is option (C).

The given expression is ((3C^(4)d^(4))/(2d^(9)))^(3).

We need to find the expression that is equivalent to the given expression. Here, we will use the properties of exponents to simplify the given expression, and then we will compare it with the expressions .

Let us simplify the given expression.

((3C^(4)d^(4))/(2d^(9)))^(3) = (3C^(4)d^(4)/2d^(9))^(3) = (3/2)(C^(4)d^(4-9))^(3) = (3/2)(C^(4)d^(-5))^(3) = (3/2)C^(4*3)d^(-5*3) = (3/2)C^(12)/d^(15)

Now, we need to compare this expression with the expressions given in the answer choices.

Option (A) (3d^(4))/(2c^(2)) cannot be the equivalent expression because it does not contain C and d terms with the same exponents.

Option (B) (81d^(6))/(8C^(6)) cannot be the equivalent expression because it contains the C term with a different exponent as compared to the given expression.

Option (C) (27d^(2))/(8c^(2)) contains the C term with the same exponent and the d term with a different exponent as compared to the given expression. Hence, this expression is equivalent to the given expression.

Hence, this expression is equivalent to the given expression .Therefore, the correct is option (C) (27d^(2))/(8c^(2)).

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the number of workers because d=260w.

D) The time required to build a house varies inversely with the number of workers because wd= 260.

Answer:

BAKAAHAKAKAKAKAKAKAKAKAKAKKAKA

Step-by-step explanation:

NSJLLLLLLLLLLLLLLLLLL

cKASN.ANV.ANV,.ADNV,.ANDA,.NV.ANANV

The question is incomplete. Completed question is given below the answer.

His solution for x is correct, but in order for 6 to be an extraneous solution, one denominator has to result in 0 when 6 is substituted for x.

Given  

Then the solution follows thus:

Step 1: 8(x – 4) = 2(x + 2)

Step 2: 4(x – 4) = (x + 2)

Step 3: 4x – 16 = x + 2

Step 4: 3x = 18

Step 5: x = 6

It can be seen that his solution is correct. But 6 is not an extraneous solution.

An extraneous solution is a solution to an equation that emerges from the process of solving the problem but is not a valid solution to the original problem.

When 6 is substituted into the original equation, the original equation holds.

Therefore, his solution for x is correct, but in order for 6 to be an extraneous solution, one denominator has to result in 0 when 6 is substituted for x.

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Completed question:-

A student solves the following equation for all possible values of x:His solution is as follows:

Step 1: 8(x – 4) = 2(x + 2)

Step 2: 4(x – 4) = (x + 2)

Step 3: 4x – 16 = x + 2

Step 4: 3x = 18

Step 5: x = 6

He determines that 6 is an extraneous solution because the difference of the numerators is 6, so the 6s cancel to 0.

Which best describes the reasonableness of the student’s solution?

His solution for x is correct and his explanation of the extraneous solution is reasonable.

His solution for x is correct, but in order for 6 to be an extraneous solution, both denominators have to result in 0 when 6 is substituted for x.

His solution for x is correct, but in order for 6 to be an extraneous solution, one denominator has to result in 0 when 6 is substituted for x.

His solution for x is incorrect. When solved correctly, there are no extraneous solutions.

Answer: its not d don't listen the guy above

its C

Step-by-step explanation:

The value of k that makes the equation true is given as follows:

a. 6.

The equation for this problem is defined as follows:

12a + 9b = k(2a + 3/2b).

The equation will be true is both sides are equal.

Applying the distributive property to the right side, we have that:

12a + 9b = 2ak + 3kb/2.

Taking one of the terms, the value of k is obtained as follows:

2ak = 12a

k = 12a/2a

k = 6.

Meaning that the correct option is given by option A.

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The adjusted principal after 45 days is $4346.4 and the adjusted balance due at maturity is $4404.06.

A sum of money that has to be paid for getting loan of certain amount is the Interest .

The principal amount = $5500

Rate = 6.75%

Interest for 45 days will be equal to

5500 * 0.0675 *(45/360) = 46.4

This sum will be deducted from the payment done on 45th day

1200- 46.4 = $1153.6

Now , The adjusted principal after 45 days is

5500 - 1153.6 = $4346.4

The interest she has to pay on this adjusted principal is

4346.4 *0.0675* (75 /360)

= $ 57.66

the adjusted balance due at maturity is

$1346.4 + $57.66 = 4404.06

The adjusted principal after 45 days is $4346.4 and the adjusted balance due at maturity is $4404.06.

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Answer:

4/10

Step-by-step explanation:

4/10 = 0.4 = 0.40

2/6 = 0.33

so, 0.40 is greater than 0.33

Answer:

$13 overpayment

Step-by-step explanation:

We can find the amount Trevor should pay each month by dividing the $26,555 by 36 months:

               ($26,555/(36 months)) = $737.64 per month

Since Trevor decide to round up to the nearest dollar, he will pay $738 each month.  That's an overpayment of $0.361 each month.

After 36 months of overpaying by $0.361 each month, Trevor will have overpaid:

  ($0.36/month)*(36 months) = $13 overpayment

To represent the number of subscribers t years after 2020, we can use the exponential decay function.

The function S(t) can be defined as:

S(t) = S(0) * (1 - r)^t

Where:

S(t) is the number of subscribers t years after 2020,

S(0) is the initial number of subscribers in 2020 (128,500 in this case),

r is the rate of decrease (11% or 0.11), and

t is the number of years after 2020.

So, the function representing the number of subscribers t years after 2020 is:

S(t) = 128,500 * (1 - 0.11)^t

Simplifying further:

S(t) = 128,500 * 0.89^t

Therefore, the function S(t) that represents the number of subscribers t years after 2020 is S(t) = 128,500 * 0.89^t.

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Step-by-step explanation:

x=20

x aris is stright .right?

Answer:

y=x^2

Step-by-step explanation:

To find the volume of a three-dimensional symmetrical shape using integration, we can apply the concept of integration in calculus. The process involves breaking down the shape into infinitesimally small elements and summing up their volumes using integration.

To calculate the volume of a symmetrical shape using integration, we consider the shape's cross-sectional area and integrate it along the axis of symmetry. The key steps are as follows:

Identify the axis of symmetry: Determine the axis along which the shape is symmetrical. This axis will be the reference for integration. Set up the integral: Express the cross-sectional area as a function of the coordinate along the axis of symmetry. This function represents the area of each infinitesimally small element of the shape. Define the limits of integration: Determine the range of the coordinate along the axis of symmetry over which the shape exists. Integrate: Use the definite integral to sum up the cross-sectional areas along the axis of symmetry. The integral will yield the total volume of the shape.

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The steady-state solution of the heat conduction equation refers to the temperature distribution that remains constant over time. This occurs when the heat flow into a system is balanced by the heat flow out of the system.

To find the steady-state solution of the heat conduction equation, follow these steps:

1. Set up the heat conduction equation: The heat conduction equation describes how heat flows through a medium and is typically given by the formula:

  q = -k * A * dT/dx,

  where q represents the heat flow, k is the thermal conductivity of the material, A is the cross-sectional area through which heat flows, and dT/dx is the temperature gradient in the direction of heat flow.

2. Assume steady-state conditions: In the steady-state, the temperature does not change with time, which means dT/dt = 0.

3. Simplify the heat conduction equation: Since dT/dt = 0, the equation becomes:

  q = -k * A * dT/dx = 0.

4. Apply boundary conditions: Boundary conditions specify the temperature at certain points or surfaces. These conditions are essential to solve the equation. For example, you might be given the temperature at two ends of a rod or the temperature at the surface of an object.

5. Solve for the steady-state temperature distribution: Depending on the specific problem, you may need to solve the heat conduction equation analytically or numerically. Analytical solutions involve techniques like separation of variables or Fourier series expansion. Numerical methods, such as finite difference or finite element methods, can be used to approximate the solution.

It's important to note that the exact method for solving the heat conduction equation depends on the specific problem and the boundary conditions given. However, the general approach is to set up the heat conduction equation, assume steady-state conditions, simplify the equation, apply the boundary conditions, and solve for the steady-state temperature distribution.

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Answer:

1) Pr(all three) = 0.064

2) Pr(none) = 0.216

3) Independent event

Step-by-step explanation:

Let Probability of homes constructed in the Quail Creek area with a security system = Pr (security)

Where Pr = probability

This is a binomial distribution problem. There ate only two outcomes in this distribution: a success and a failure

Where p = success, q = failure

For n trials,

Pr(X = x) = n!/[(n-x)!x!] × p^x × q^(n-x)

Pr (security) = 40% = 0.4

p = 0.4

q = 1-p = 1-0.4 = 0.6

Numbers selected at random = n = 3

See attachment for more details on the workings.

1) Probability all three of the selected homes have a security system = Pr(all three)

Pr(all three) = 1× (0.4)³ (0.6)^0 = 0.4³

= 0.4×0.4×0.4

Pr(all three) = 0.064

2) Probability none of the three selected homes have a security system

= Pr(none)

Pr(none) = 1 × (0.4)^0 × (0.6)³

= 0.6³ = 0.6×0.6×0.6

Pr(none) = 0.216

3) The events were assumed to be independent as the selection of one house doesn't affect the outcome of the selection of another.

The expected value of x in the scenario given is 9/2.

Since each coin has two possible outcomes (H or T), the total number of possible outcomes for all three coins is 2 * 2 * 2 = 8.

Let's calculate the points awarded for each possible outcome:

HHH: 3 points + 3 points + 3 points = 9 points

HHT, HTH, THH: 3 points + 3 points + 0 points = 6 points

HTT, TTH, THT: 3 points + 0 points + 0 points = 3 points

TTT: 0 points + 0 points + 0 points = 0 points

Now, let's calculate the probability of each outcome:

Probability of HHH: 1/8

Probability of HHT, HTH, THH: 3/8

Probability of HTT, TTH, THT: 3/8

Probability of TTT: 1/8

To find the expected value, we multiply each outcome's points by its probability and sum them up:

Expected value (E(x)) = (9 * 1/8) + (6 * 3/8) + (3 * 3/8) + (0 * 1/8) = 9/2

Therefore, the expected value is 9/2.

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To answer this question we will use the substitution method.

Solving the second equation for y we get:

Substituting the above result in the first equation we get:

Adding like terms we get:

Now, from the above result, we get that the system is inconsistent, therefore it has no solutions.

Answer: No solution.

The equation that shows how many students are absent is 26+a = 30 and 4students are absent

A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line.

Also a linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

There are 30 students in a class and 26 students are present.

Let's represent the number of student absent by a

therefore the sum of the number of student absent and the student present will give the total number of student.

26+a = 30 and

a = 30-26

a = 4

therefore 4 students are absent

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The square has a 48 centimeter perimeter.

To find the perimeter of the square, we need to calculate its side length. The area of a rectangle is given by its length multiplied by its width, so we can use the given measurements of the rectangle to calculate its area: 25 cm x 16 cm = 400 cm². The area of a square is given by the square of its side length, so we can use the area of the rectangle to calculate the side length of the square: √400 cm² = 20 cm.

Thus, the perimeter of the square is equal to 4 times its side length, or 4 x 20 cm = 80 cm.

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The volume of the parallelepiped with sides given by vectors A, B and C is 13 cubic cm, which is the final answer.

The given vectors are:

A = [-4, 3, 2] cm, B = [2,1,3] cm and C= [1, 1, 4] cm

In order to calculate the volume of parallelepiped, we will use vector triple product equation:

Volume = A . (BXC)|, where BXC represents the cross product of vectors B and C.

Step-by-step solution:

We have, A = [-4, 3, 2] cm

B = [2,1,3] cm

C = [1, 1, 4] cm

Now, let's find BXC, using the cross product of vectors B and C.

BXC = | i    j     k|                    2      1     3                            1      1     4        | i    j     k |  = -i + 5j - 3k

Where, i, j, and k are the unit vectors along the x, y, and z-axes, respectively.

The volume of the parallelepiped is given by:

Volume = A . (BXC)|

Therefore, we have: Volume = A . (BXC)

\(Volume = [-4, 3, 2] . (-1, 5, -3)\\Volume = (-4 \times -1) + (3 \times 5) + (2 \times -3)\\Volume = 4 + 15 - 6\\Volume = 13\)

Therefore, the volume of the parallelepiped with sides given by vectors A, B and C is 13 cubic cm, which is the final answer.

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Answer:

8(x + 6) = 144

Step-by-step explanation:

We can start building this equation by making everything equal to 144 since the problem is representing the total number of apples:

? = 144

Next, we don't know how many apples are in each basket, so we can represent it with a variable, x.

Since 6 apples are added to each basket we will simply add 6 to the "x" amount of apples in each basket:

x + 6 = 144

Lastly, according to the scenario, we have 8 baskets, each holding "x" amount of apples plus the extra 6 that was added, so it will be multiplied:

8(x + 6) = 144

11, 12, 13

Step-by-step explanation:

gb ndndhdyydhsbdgr

Answer:

y=(0,3)

Step-by-step explanation:

Answer:

(0,3)

Step-by-step explanation:

had this question on an assignment and got it right