four x squared - 7x equals 0 ​

The probability of the spinner landing on 2 reds is P ( 2 Reds ) = 1/8

Given data ,

To find the probability of spinning two reds, we need to calculate the probability of spinning a red on the first spin and then multiply it by the probability of spinning a red on the second spin.

The probability of spinning a red on the first spin is 1/4 since there is one red section out of four equal sections.

Now , the value of P ( R ) = 1/4

when the spinner is spun twice ,

P ( A ) = P ( R ) P ( R )

P ( A ) = 1/4 ( 1/4 )

On simplifying , we get

P ( A ) = 1/8

Hence , the probability is P ( A ) = 1/8.

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The area of the sector is 72f

The given parameters are:

Angle = f

Diameter = 24

Start by calculating the radius

r = Diameter/2

r = 24/2

r = 12

The area of the sector is

A = (θ/2) × r^2

So, we have

A = (f/2) * 12^2

Evaluate

A = 72f

Hence, the area of the sector is 72f

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A set of vectors with the two operations of vector addition and scalar multiplication make up the mathematical structure known as a vector space (or linear space).

To determine if V is a vector space with the given operations, we need to check if it satisfies the properties of a vector space: commutativity, associativity, distributivity, the existence of an identity element, and the existence of additive and multiplicative inverses.

1. Commutativity of Addition:

Let (a₁, a₂) and (b₁, b₂) be arbitrary elements in V.

(a₁, a₂) + (b₁, b₂) = (a₁ + 2b₁, a₂ + 3b₂)

(b₁, b₂) + (a₁, a₂) = (b₁ + 2a₁, b₂ + 3a₂)

To satisfy commutativity, we need (a₁ + 2b₁, a₂ + 3b₂) to be equal to (b₁ + 2a₁, b₂ + 3a₂) for all choices of a₁, a₂, b₁, and b₂.

(a₁ + 2b₁, a₂ + 3b₂) = (b₁ + 2a₁, b₂ + 3a₂)

a₁ + 2b₁ = b₁ + 2a₁

a₂ + 3b₂ = b₂ + 3a₂

The equations above hold true for all values of a₁, a₂, b₁, and b₂. Therefore, the commutativity of addition is satisfied.

2. Associativity of Addition:

Let (a₁, a₂), (b₁, b₂), and (c₁, c₂) be arbitrary elements in V.

((a₁, a₂) + (b₁, b₂)) + (c₁, c₂) = (a₁ + 2b₁, a₂ + 3b₂) + (c₁, c₂)

= ((a₁ + 2b₁) + 2c₁, (a₂ + 3b₂) + 3c₂)

= (a₁ + 2b₁ + 2c₁, a₂ + 3b₂ + 3c₂)

(a₁, a₂) + ((b₁, b₂) + (c₁, c₂)) = (a₁, a₂) + (b₁ + 2c₁, b₂ + 3c₂)

= (a₁ + (b₁ + 2c₁), a₂ + (b₂ + 3c₂))

= (a₁ + b₁ + 2c₁, a₂ + b₂ + 3c₂)

To satisfy associativity, we need (a₁ + 2b₁ + 2c₁, a₂ + 3b₂ + 3c₂) to be equal to (a₁ + b₁ + 2c₁, a₂ + b₂ + 3c₂) for all choices of a₁, a₂, b₁, b₂, c₁, and c₂.

(a₁ + 2b₁ + 2c₁, a₂ + 3b₂ + 3c₂) = (a₁ + b₁ + 2c₁, a₂ + b₂ + 3c₂)

The equations above hold true for all values of a₁, a₂, b₁, b₂, c₁, and c₂. Therefore, the associativity of addition is satisfied.

3. Identity Element of Addition:

We need to find an element (e₁, e₂) in V such that for any element (a₁, a₂) in V, (a₁, a₂) + (e₁, e₂) = (a₁, a₂).

(a₁, a₂) + (e₁, e₂) = (a₁ + 2e₁, a₂ + 3e₂)

To satisfy the identity element property, we need (a₁ + 2e₁, a₂ + 3e₂) to be equal to (a₁, a₂) for all choices of a₁, a₂, e₁, and e₂.

(a₁ + 2e₁, a₂ + 3e₂) = (a₁, a₂)

Solving the equations above, we find that e₁ = 0 and e₂ = 0.

Therefore, the identity element of addition is (0, 0).

4. Additive Inverse:

For any element (a₁, a₂) in V, we need to find an element (-a₁, -a₂) in V such that (a₁, a₂) + (-a₁, -a₂) = (0, 0).

(a₁, a₂) + (-a₁, -a₂) = (a₁ + 2(-a₁), a₂ + 3(-a₂))

= (a₁ - 2a₁, a₂ - 3a₂)

= (-a₁, -2a₂)

To satisfy the additive inverse property, we need (-a₁, -2a₂) to be equal to (0, 0) for all choices of a₁ and a₂.

(-a₁, -2a₂) = (0, 0)

This equation holds true when a₁ = 0 and a₂ = 0.

Therefore, the additive inverse of (a₁, a₂) is (-a₁, -a₂).

5. Distributivity:

Let (a₁, a₂), (b₁, b₂), and (c₁, c₂) be arbitrary elements in V.

Left Distributivity:

(a₁, a₂) * ((b₁, b₂) + (c₁, c₂)) = (a₁, a₂) * (b₁ + 2c₁, b₂ + 3c₂)

= (a₁ + 2(b₁ + 2c₁), a₂ + 3(b₂ + 3c₂))

= (a₁ + 2b₁ + 4c₁, a₂ + 3b₂ + 9c₂)

Right Distributivity:

(a₁, a₂) * (b₁, b₂) + (a₁, a₂) * (c₁, c₂) = (a₁ + 2b₁, a₂ + 3b₂) + (a₁ + 2c₁, a₂ + 3c₂)

= (a₁ + 2b₁ + a₁ + 2c₁, a₂ + 3b₂ + a₂ + 3c₂)

= (2a₁ + 2b₁ + 2c₁, 2a₂ + 3b₂ + 3c₂)

For all possible values of a1, a2, b1, b2, c1, and c2, we require (a1 + 2b1 + 4c1, a2 + 3b2 + 9c2) to be equal to (2a1 + 2b1 + 2c1, 2a2 + 3b2 + 3c2) in order to meet distributivity.

(a1 + 2b1 + 4c1, a2 + 3b2 + 9c2) equals (2a1 + 2b1 + 2c1, 2a2 + 3b2 + 3c2).

The a1, a2, b1, b2, c1, and c2 equations are valid for all values. Distributivity is therefore satisfied.

We can determine that V is a vector space with the specified operations based on the confirmation of these qualities.

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Answer:

Y-int : 0, 17

AOS: -3

Vertex: -3, 26

Step-by-step explanation:

Using desmos

and then using that to find your information.

Answer:

The y-intercept is 0,17

The axis of symmetry is -3

The vertex is -3, 26

Step-by-step explanation:

I used Desmos, a graph calculator and then I input the given function. I've attached a picture of the graph below:

Answer: C = 50.24m A = 200.96m^2

Step-by-step explanation:

Note that the area is in square meters, as the radius is in meters, and we are squaring the radius when calculating the area.

Answer:

37.5%

Step-by-step explanation:

24÷64=0.375

with percents, you have to move the decimal 2 spaces back

so that equals 37.5%

The solution to the given inequality as represented in the task content are; z < - 1.00485413 OR z > 1.00485413.

It follows from the task content that the solution of the given inequality; ( 29 / 289z ) < ( 16 / 161 ) z is to be determined.

Since the given inequality is;

( 29 / 289z ) < ( 16 / 161 ) z

By cross multiplication; we have;

161 × 29 < ( 16z × 289z )

( 161 × 29 ) / ( 16 × 289 ) < z²

1.00973183 < z²

Therefore;

1.00485413 < z. OR. -1.00485413 > z.

Ultimately, z < - 1.00485413 OR z > 1.00485413.

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Answer:

yellow box

Step-by-step explanation:

if you follow the graph. it is a difference of 6 between each 2 points

so you don't have to solve with the formula

6/2 = 3 so 3 is your X

and you get larger as you go towards 0 so it is positive

and so add 6 to 10 because (-2,10) and you follow the 6 y for every 2 you go

so (0,16)

y = 3x + 16

Answer:

2.7156

Step-by-step explanation:

14.549 - (8.131 + 3.7024) =

14.549 - 11.8334 =

2.7156

Hope this helps!

Answer:

2.7156

Step-by-step explanation:

The function which represents the cost to drive a car from this agency miles x a day is :

C(x) = 15, if 0 ≤ x ≤ 200

      = 15 + 0.05x, if x > 200

Given that,

A car rental agency charges $15 a day for driving a car 200 miles or less.

The function can be written as,

C(x) = 15 if 0 ≤ x ≤ 200

If a car is driven over 200 miles, the renter must pay $0.05 for each mile over 200 driven.

C(x) = 15 + 0.05x, if x > 200

Hence the correct option is D.

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Answer:

24-175e

Step-by-step explanation:

6 (d – f) + f

6(4-35e)+35e

24-210e+35e

24-175e

Answer:

A & B

Step-by-step explanation:

Hope this helpsss

Answer:

A and B.

Step-by-step explanation:

I took this test

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

-6 7/8

2 5/8 × -2 3/5

The automobile covers 224.48 km.

This problem can be solved by using the unitary method.

In this method we calculate the value for a unit quantity and then multiply it with the desired number for which we want to calculate.

Here it is given that a automobile covers 1122.4 km with 80 liters.

For 1 liter of gasoline distance covered = \(\frac{1122.4}{80}\)

                                                              = 14.03 km

So, for 16 liters of gasoline distance covered will be = 16× 14.03

                                                                                  = 224.48 km

Therefore the automobile covers 224.48 km for 16 liters of gasoline.

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Answer: x = 2

Step-by-step explanation:

The rule for reflecting over  x = 2 is that y remains the same and you add how many units x = 2 is from the point.

x = 2 is has the coordinate of x = 2 and y = the y coordinate of the point.

A (-1, 1) Since the y coordinate of (-1, 1) is 1, x = 2 - (2, 1)

Add 3 units to 2, the x coordinate since -1, 1 is 3 units from 2, 1

2,1 --> 5, 1

I really didn't know how to explain but Im 100% sure Im right and I hoped this helped somehow.

To determine whether the vectors (-2,1,-1) and (0,3,1) are parallel, we need to compare their direction. If they have different directions, they are not parallel. the correct answer is option c) Not parallel.

To check if two vectors are parallel, we can compare their direction vectors. The direction vector of a vector can be obtained by dividing each component of the vector by its magnitude. In this case, let's calculate the direction vectors of the given vectors.

The direction vector of (-2,1,-1) is obtained by dividing each component by the magnitude:

Direction vector of (-2,1,-1) = (-2/√6, 1/√6, -1/√6)

The direction vector of (0,3,1) is obtained by dividing each component by the magnitude:

Direction vector of (0,3,1) = (0, 3/√10, 1/√10)

Comparing the direction vectors, we can see that they are not equal. Therefore, the vectors (-2,1,-1) and (0,3,1) are not parallel. Hence, the correct answer is option c) Not parallel.

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Answer: 49 in^2

Step-by-step explanation:

Trapezoid area formula = (a+b/2) x h

So...

(5+9/2) x 7

= 49 in^2

\( \huge \boxed {\longmapsto\mathcal {\purple {Answer}}}\)

Area of trapezoid :

\( \boxed{ \frac{1}{2} \times sum \: of \: parallel \: sides \times height }\)

=》

\( \boxed {\frac{1}{2} \times (9 + 5) \times 7}\)

=》

\( \boxed {\frac{1}{2} \times 14 \times 7}\)

=》

\(\boxed{7 \times 7}\)

=》

\(\boxed{49}\)

\( \boxed {\mathfrak{area = 49 \:in {}^{2} }}\)

Answer:

1. x = 0

12. x = 3

13. x = 0

14.

In a regression analysis regarding the two variables, the dependent variable is called the response or outcome variable, meanwhile the independent variable is called the predictor, explanatory, or input variable.

The goal of the analysis is to build a statistical model that can predict or explain the behavior of the dependent variable based on the independent variable(s). In a regression analysis, the two variables under consideration are:

In conclusion, the goal of the analysis is to find the best-fitting line or curve that describes the relationship between the variables. Once we have this model, we can use it to make predictions about the dependent variable based on the values of the independent variable(s).

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The probability that Kareem will attend either State or Northern is 0.88, which is 88% as a percentage. Rounded to two decimal places, the answer is 0.88.

The probability that Kareem will attend either State or Northern is the sum of the individual probabilities of attending each college.

Probability is a measure of the likelihood or chance of an event occurring. It is usually expressed as a number between 0 and 1, where 0 indicates that an event is impossible and 1 indicates that an event is certain.

The probability of an event A is calculated as the number of outcomes that result in A divided by the total number of possible outcomes. This is known as the classical definition of probability.

P(State or Northern) = P(State) + P(Northern) = 0.55 + 0.33 = 0.88

So the probability that Kareem will attend either State or Northern is 0.88, which is 88% as a percentage. Rounded to two decimal places, the answer is 0.88.

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⁵/₈ is greater than .37 because when ⁵/₈, which is a fraction, is expressed as a decimal it is 0.625 or 62.5% while .37 is 37% or ³⁷/₁₀₀.

A fraction is a proportional value that is less than the whole number.

A fraction comprises the numerator and the denominator and may be a proper, improper, or complex fraction.

Both fractions and decimals represent proportional values, like ratios and percentages.

⁵/₈ = 0.625 = 62.5% (⁵/₈ x 100)

0.37 = ³⁷/₁₀₀ = 37%.

Thus, after converting the fraction ⁵/₈ to decimal or to a percentage, we can conclude that ⁵/₈ is greater than 0.37.

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Answer:

-25, -5

Step-by-step explanation:

Let's write a system of equations. Lets call x and y the numbers, where x is 5 times y.

x + y = -30

x = 5y

Plugging this in, we get:

5y + y = -30

y = -5

Since y = -5, we can plug this in, and see that x = -25.

Answer:

-5 & -25

Step-by-step explanation:

1st number=x

2nd number=5x

x+5x=-30

6x=-30

x=-5

5x=-25

So the numbers are -5 & -25

Therefore, the change in profit is approximately 0.60 and the percent change in profit is approximately 0.81%.

The given function is P = 100xe–x/400, where is sales.

The change in profit as sales increase from x = 115 to x = 120 units is to be determined.

To find the change in profit, we need to calculate the profit at x = 115 and x = 120 and then find the difference between them.

P(115) = 100 * 115e^(–115/400) ≈ 73.99

P(120) = 100 * 120e^(–120/400) ≈ 73.39

The change in profit = P(120) - P(115) ≈ 0.60

Approximate percent change in profit as sales increase from

x = 115 to x = 120 units = (change in profit / initial profit) × 100%≈ (0.60/73.99) × 100%≈ 0.81%.

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Answer:

the aswer is ca+ db

Step-by-step explanation:

Hope this helps leave a heart c:

Answer:

ab+cd

Step-by-step explanation:

Answer:c

Step-by-step explanation: