(2x - 1/2) ^2 please simplify

Answer:

10

Step-by-step explanation:

-5 times -2= 10

Answer:

the first choice

Step-by-step explanation:

5 1/9 = 5.44444.....

That is the easiest way for me to do it

Answer:

To find the value of "a" when you know the perimeter of a shape, you need to know the specific shape you're referring to. Please provide more information about the shape in question, such as whether it's a rectangle, triangle, or another geometric figure. Additionally, if you have any specific measurements or relationships between the sides of the shape, please provide them as well.

The length of a rectangle is 55  inches and the width of the rectangle is  17 inches

Given that The length of a rectangle is four more than triple the width.  If the perimeter is 144 inches and asked to find the dimensions of the rectangle

Length of a rectangle = 4 + triple the width

Let's assume the length of a rectangle is "l" and the width is "b"

l= 4 + 3b

perimeter of rectangle =2 ( l +b )

perimeter of rectangle = 2 ( 4 +3b +b)

perimeter of rectangle = 2 ( 4 + 4b )

Given that perimeter of rectangle = 144 inches

144 inches =  2 ( 4 + 4b )

72 inches = 4 + 4b

b= 17 inches

l= 4 + 3b

l=4+51

l=55 inches

Therefore the dimensions of rectangle are 55 inches and 17 inches

Hence,The length of a rectangle is 55  inches and the width of the rectangle is  17 inches.

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Answer:

The answer is "A" i think not 100% sure

tell me if wrong

Answer:

3/10 liter for one glass. 6 glasses total would be how many liters? Just multiply what one glass would have by 6. Lemme know the answer you get

Answer:

i

Step-by-step explanation:

is

coooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooool

Answer:

What tiles need to be added to both sides to remove the smaller x-coefficient?

✔ 5 negative x-tiles

What tiles need to be added to both sides to remove the constant from the right side of the equation?

✔ 4 negative unit tiles

What is the solution?

✔ x = –6

Step-by-step explanation:

There is a 2.17% probability that a randomly selected person aged 40 years or older is male and jogs.

It would be unusual to randomly select a person aged 40 years or older who is male and jogs.

Step-by-step explanation:

We have these following probabilities.

A 13.9% probability that a randomly selected person aged 40 years or older is a jogger, so .

In​ addition, there is a 15.6% probability that a randomly selected person aged 40 years or older is male comma given that he or she jogs. I am going to say that P(B) is the probability that is a male.  is the probability that the person is a male, given that he/she jogs. So  

The Bayes theorem states that:

In which  is the probability that the person does both thigs, so, in this problem, the probability that a randomly selected person aged 40 years or older is male and jogs.

So

There is a 2.17% probability that a randomly selected person aged 40 years or older is male and jogs.

A probability is unusual when it is smaller than 5%.

So it would be unusual to randomly select a person aged 40 years or older who is male and jogs.Step-by-step explanation:

Answer:

here you go

Step-by-step explanation:

the last one is "Each point (or pair) in a proportional relationship must share the same difference."

Answer:

Step-by-step explanation:

Given :  Statement about proportional relationships  

To Find : Which statement is False

Solution:

proportional relationships

y ∝ x

=> y = kx    

Comparing with line line of equation

y = mx + c

m = k  , c = 0

Hence A proportional relationship must graph as a line

TRUE

at x = 0 , y = 0

Hence graph of a proportional relationship must pass through (0, 0).

TRUE

y = kx  

=> y/x = k  hence

Each point (or pair) in a proportional relationship must share the same ratio.

Each point (or pair) in a proportional relationship must share the same difference.

Let A be a diagonalizable matrix. If c₁ and c₂ are solution to system

x⃗' (t) = A x⃗ ( t )

the possible values of c₁ is 1 and c₂ is 2 .

So, the correct option is option(a) and (e).

We have given that A is 2 × 2 diagonalizable matrix and x⃗ (t) = ( 3eᵗ + eᶜ₁t , 3e²ᵗ + eᶜ₂ᵗ) is a solution of system, x⃗ '(t) = A x⃗(ᵗ) .

A Solution of system always satisfied the equation of system.

Now, Differenating x⃗ (t) wih respect to t we get, x⃗' (t)=( 3eᵗ + c₁ eᶜ₁t , 6e²ᵗ + c₂ eᶜ₂ᵗ)

So, ( 3eᵗ + c₁ eᶜ₁t , 6e²ᵗ + c₂ eᶜ₂ᵗ)= A ( 3eᵗ + eᶜ₁t , 3e²ᵗ + eᶜ₂ᵗ) where A is diagonalizable and A = [a 0 0 b].

Then, ( 3eᵗ + c₁ eᶜ₁t , 6e²ᵗ + c₂ eᶜ₂ᵗ) = ( 3aeᵗ + aeᶜ₁t , 3be²ᵗ + b eᶜ₂ᵗ)

equating the coefficients on both sides we get, 3eᵗ + c₁ eᶜ₁t = 3aeᵗ + aeᶜ₁t 6e²ᵗ + c₂ eᶜ₂ᵗ = 3be²ᵗ + b eᶜ₂ᵗ

after equating the corresponding equations , 3 = 3a and c₁ = a and 6 = 3b and c₂ = b after solving all we get a = 1 and b = 2 which implies c₁ = 1 and c₂ = 2. Hence, the possible values are c₁ = 1 and c₂ = 2.

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Complete question:

Let A be a diagonalizable matrix. If c₁ and c₂ are solution to system x⃗ (t) = A x⃗

then check all the possible values of c₁ and c₂ and below.

(a) c₁ = 1

(b) c₁ = 3

(c) c₁ = 2

d) c₂ = 1

(e)c₂ =2

(f) c₂ = 3

A 90% confidence interval for proportion p ( for registered voters that would vote to raise taxes) = 0.483 is 0.483 +/- 0.024... So, the correct answer is option (b).

We have provide a random sample of 1200 registered voters and found that 580 would vote to raise taxes.

Sample size , n = 1200

The number of voters rise the tax = 580

Let p represent the proportion of registered voters in the state that would vote to raise taxes. From reading the provide data we get ,

sample proportion p = 580/1200 = 29/60 = 0.483

To use the standard error, we replace the unknown parameter p with the p-cap statistic , so p-cap = 0.483

Standard error = √p-cap (1 - p-cap )/n

= √0.483(1- 0.483)/1200 =√0.483(0.517)/1200

=√0.0002080925

= 0.0144254116

Now, the 90% confidence interval for p is

p-cap +/- z√(p-cap(1 - p-cap)/n)

Using the Z-table, z-value for 90% confidence interval is 1.645...

So, p-cap +/- z√((1 - p-cap )/n) = 0.483 +/- (1.645)0.014425

= 0.483 +/- 0.023729125 ~ 0.483 +/- 0.024

Hence, the required interval is 0.483 +/- 0.024.

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Answer:

\(Profit = SP - CP\)

Step-by-step explanation:

Given

\(S.P = Selling\ Price\)

\(C.P = Cost\ Price\)

Required

Represent the profit, mathematically

The profit is the difference between SP and CP.

This is represented as:

\(Profit = SP - CP\)

Answer:

please make the equations and stuff more legible so that I can solve it for you :)

Step-by-step explanation:

Answer:

answer in picture

Step-by-step explanation:

Answer:

-25

Step-by-step explanation:

Answer:

1191 cm²

Step-by-step explanation:

Area of parallelogram = base X vertical height.

Call the vertical line h.

h/ sin 80  =  7/ sin 10

h = (7 sin 80) / sin 10

= 39.7.

Area of parallelogram = 30 X 39.7

= 1191 cm²

The Area of Parallelogram whose side length is 30 cm is 1,190.952 square cm.

Given:

Side length = 30 cm

Using Trigonometry

tan 80 = P / Base

5.6712 = P / 7

P = 39.6984 cm

Using the formula for Area of parallelogram

= Base x height

= 30 x 39.6984

= 1,190.952 square cm.

Therefore, the area is 1,190.952 square cm.

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Probability of rolling a number greater than 0 but less than 7 is 1.

The probability formula is as follows:

Probability = Favourable outcomes / Total outcomes

Sample space of rolling a dice:

S = {1, 2, 3, 4, 5, 6}

Total outcomes = 6

Favourable outcomes: number greater than 0 but less than 7

Favourable outcomes: 6

Then, probability of rolling a number greater than 0 but less than 7

Probability = Favourable outcomes / Total outcomes

Probability = 6/6

Probability = 1

Thus,  probability of rolling a number greater than 0 but less than 7 is 1.

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The complete question is-

A dice is being rolled. Find the probability of rolling a number greater than 0 but less than 7

Answer:

10

Step-by-step explanation:

6-(-4)=10

I think so lol

Answer:

Distance = 10 units

Step-by-step explanation:

d = sqrt((x-x)^2 + (y-y)^2)

sqrt((-5+5)^2 + (-4-6)^2) = sqrt(100)

Answer:

The total surface area of triangular  prism

                           A = 232 foot²

Step-by-step explanation:

Explanation:-

 Given bases of prism 5 f t , 5 f t , 7 f t

The perimeter of the sum of the bases

P = 7 + 5 +5 = 17 f t

Lateral surface area =perimeter X height

                                = 1 7 × 8

                               = 136 f t²

Base area of the triangular prism = \(\frac{1}{2} h ( b_{1} + b_{2} ) = \frac{1}{2} 8 ( 5 +7) =48\)

The total surface area of triangular  prism

                             \(A = p h + 2 Base Area\)

                             \(A = p h + 2 Base Area = 136 + 2 ( 4 8 ) = 232\)

The total surface area of triangular  prism

                           A = 232 foot²

To know if the point(4,2) lies on an equation, we can replace 4 for x and 2 for y and we have to make sure that the result on the left side equals the number on the right side, like this:

1. 5x + 2y=20

5*4+2*2=20

20+4=20

24=20, wrong, 24 is not equal to 20, then the point doesn't lie on this equation.

2. 2x+4y = 16

2*4+4*2 = 16

8 + 8 = 16

16=16, this is correct, then the pint (4,2) lie on the equation 2x+4y = 16

3. x+6y = 16

4+6*2=16

4+12=16

16=16, this is correct, then the pint (4,2) lie on the equation x+6y = 16

4. 3x+3y = 13

3*4+3*2=13

12+6=13

18=13, wrong, 18 is not equal to 13, then the point doesn't lie on this equation.

5. 4x+2y=20

4*4+2*2=20

16+4=20

20=20, this is correct, then the pint (4,2) lie on the equation 4x+2y=20

6. 6x+y=26

6*4+2=26

24+2=26

26=26, this is correct, then the pint (4,2) lie on the equation 6x+y=26

The matrix representing the profit from the sales of book A for each store is:

[  $4  ]

[  $4  ]

[  $4  ]

To represent the profit from the sales of book A for each store, we can use a matrix where the rows correspond to the stores (X, Y, Z) and the columns correspond to the book A.

The matrix representing the profit from the sales of book A for each store is as follows:

Store Book A

X $4

Y $4

Z $4

Therefore, the matrix representing the profit from the sales of book A for each store is:

[  $4  ]

[  $4  ]

[  $4  ]

Each element in the matrix represents the profit from the sales of book A in a specific store, which is $4 for all stores (X, Y, Z).

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The mixed numbers that can be added to get 7 3/4 will be 6 1/2 and 1 1/4.

It should be noted that a mixed number is a combination of a whole number and a fraction. An example is if you have two whole apples and one half apple, then you could describe this as 2 + 1/2 apples, which will be 21/2 apples

A mixed number is a number consisting of a whole number and a proper fraction. Therefore, the mixed numbers that can be added to get 7 3/4 will be:

= 6 1/2 + 1 1/4

= 6 2/4 + 1 1/4

= 7 3/4

Therefore, the mixed numbers that can be added to get 7 3/4 will be 6 1/2 and 1 1/4.

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Answer:

The answer is b..

Step-by-step explanation:

hope its helpful

The approximate distance around the outside of the circular field is the circumference = 172.7 feet and the correct option is B.

To calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2×radius with pi (π = 3.14).

We shall derive the approximate distance around the outside of the circular field by calculating for the circumference as follows:

Radius of the circular feild = 27.5

circumference of the circular feild = 2 × 27.5 feet × 3.14

circumference of the circular feild = 55 feet × 3.14

circumference of the circular feild = 172.7 feet.

Therefore, the approximate distance around the outside of the circular field is derived as the circumference which is equal to 172.7 feet.

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The additional acres that the parks occupy will be 33.75 acres.

A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.

In this case, the additional acres that the parks occupy will be:

= (12.5 × 3) - 3.75

= 33.75 acres.

Note that the information is incomplete and the complete information is given below.

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A city is building 3 parks in a new subdivision. Each park will be 1.25 acres. How many total acres will the 3 parks be? 3.75 acres

The city acquired more land next to the subdivision. If it decides to make each park 12.5 acres, how many additional acres would the parks occupy?

Answer:

equal quantities something...

Step-by-step explanation:

Answer:

\(a_{n}\) = 5n + 20

Step-by-step explanation:

there is a common difference between consecutive terms in the sequence

30 - 25 = 35 - 30 = 5

this indicates the sequence is arithmetic with explicit formula

\(a_{n}\) = a₁ + d(n - 1)

where a₁ is the first term and d the common difference

here a₁ = 25 and d = 5 , then

\(a_{n}\) = 25 + 5(n - 1) = 25 + 5n - 5 = 5n + 20

The sheet decreased by 1.5 meters and is now at 2.5 meters.

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, s=−0.25t + 4 represents the thickness of the ice over t weeks. To find the thickness at 6 weeks, substitute t=6.

s = -0.25(6)+4

s = 2.5 meters

It started at t= 0 at 4 meters. So it decreased by (4 - 2.5) = 1.5 meters.

The start of spring has 4 meters because when t= 0, s= -0.25(0)+4 = 4

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During the cold winter months, a sheet of ice covers a lake near the Arctic Circle. At the beginning of spring, the ice starts to melt.

The variable s models the ice sheet's thickness (in meters) t

weeks after the beginning of spring.

s=−0.25t+4s=-0.25t+4

s=−0.25t+4

By how much does the ice sheet's thickness decrease every 6 weeks?

Answer:

548 > 373

Step-by-step explanation:

548 is greater than 373 because when we compare the digits from left to right, we find that the first digit of 548 (5) is greater than the first digit of 373 (3). Therefore, we can conclude that 548 is greater than 373.

The ">" symbol is used to represent "greater than" in mathematical comparisons.

Hope this helps!

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

The evaluated function values are g(-3) = 11, g(5) = 11, g(a) = 11 and g(a+h) = 11

A composite function is a function that results from combining two or more functions. It is created by using the output of one function as the input of another function.

The function g(x) is defined as g(x) = 11, which means that the output of the function is always 11, no matter what value of x is inputted.

i.e. the function g(x) = 11 always returns the value 11, regardless of the input.

Therefore, we have:

g(-3) = 11

g(5) = 11

g(a) = 11

g(a+h) = 11

So, regardless of the value of a or h, the function g(x) will always return 11.

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