I need help please anyone

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

The solution of the absolute function is  

t < -4

 t > 22/5

In interval notation it will be    (-∞,-4) ;(22/5,+∞).

What is absolute function?

An absolute value function is a function in algebra which consists of the variable in the absolute value bars. In general form of the absolute value function is f(x) = a |x - h| + k  where h, k are constants and the most commonly used form of this function is f(x) = |x|. Here a = 1 and h = k = 0.

The Absolute Value term is |5t-1|

For the Negative case it will be -(5t-1)

For the Positive case it will be  (5t-1)

at first we will solve for negative case:

-(5t-1) > 21

    Multiplying by the minus sign we get,

     -5t+1 > 21

    Rearranging and Adding up we get,

     -5t > 20

    Dividing both sides by 5

     -t > 4

    Multiplying both sides by (-1) we get,

     t < -4

 Now we will solve for positive case:

(5t-1) > 21

    Rearranging and Adding  up we get,

     5t > 22

    Dividing both sides by 5 we get,

     t > (22/5)

Hence the solution of the absolute function is  

t < -4

 t > 22/5

In interval notation it will be    (-∞,-4) ;(22/5,+∞).

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The size of the crowd that is 5 feet deep on both sides of the street along a 2.7 -mile section of a parade route is 74,131 people.

The number of people that can fit comfortably in a 5 feet by 5 feet area = 13.

Therefore;

The ratio of the number of people per unit area = 13/(5 × 5) = 13/25

The area A occupied by the crowd = 5 feet × 2.7 mile × 2

2.7 miles = 14,256 feet

∴ A = 5 feet × 14,256 feet × 2 = 1,42,560ft²

We then have:

\(\frac{number\ of\ people}{1,42,560} = \frac{13}{25}\)

∴Number of people = 13/25 × 1,42,560 = 74,131.2 ≈ 74,131 people

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Answer:

x^3 y(xy^3−1)

Answer:

x^3 y(xy^3−1)

a) The experimental probability of landing on red or yellow is:

P(red or yellow) = 33/40

b) The theoretical probability can be computed as follows:

P(red or yellow)  = 8/10

c) As the number of spins increases: Option A: we expect the experimental and theoretical probabilities to become closer, though they might not be equal.

Theoretical probability represents the likelihood of an event occurring. The theoretical probability of getting heads is 1/2, because we know that the probability of heads and tails on a coin is equal. Experimental probability describes how often an event actually occurred in an experiment.  

a) The experimental probability of landing on red or yellow is:

P(red or yellow) = (20/40) + (13/40) = 33/40

b) The theoretical probability can be computed as follows:

P(red or yellow) = (4/10) + (4/10) = 8/10

c) As the number of spins increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal.

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The amount (present value at age 60) that Sandro would neet in his retirement savings account in order to have a monthly income of $1,500 until he is 90 years old, compounded at 4.5% monthly is $296,041.74.

The present value is computed using an online fiance calculator that discounts the future withdrawals (monthly income) for a 360-months period.

End of withdrawal period = 90 years old

Beginning of withdrawal period = 60 years old

The number of years between 60 and 90 = 30 years

N (# of periods) = 360 months (30 years x 12)

I/Y (Interest per year) = 4.5%

PMT (Periodic Payment) = $-1,500

FV (Future Value) = $0

Results:

Present Value (PV) = $296,041.74

Sum of all periodic payments = $540,000 ($1,500 x 360 months)

Total Interest = $243,958.26

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Answer:

a =5/9 b=1/3 c=1/9 d=8/9

Step-by-step explanation:

there are total 9 numbers

in a

there are 5 odd numbers

in b

there are 3 multiplier of 3

in c

there is only one 5

in d

there are 8 numbers except 7

a) 5/9 b) 1/3 c) 1/9 d) 8/9

Step-by-step explanation:

a) odd numbers between 1 to 9 are 1,3,5,7,9. so there are 5 odd numbers.

total balls are 9

=> probability is 5/9

b) multiples of 3 = 3, 6,9 there are 3 numbers.

=> probability is = 3/9 = 1/3

c) 5. only one 5 is there between 1 to 9 numbers.

=> probability is 1/9

d) not a 7.

removing 7. there will 8 numbers.

=> probability is 8/9

The number line that shows the solutions of x < 5

A number line is a visual representation of the real numbers, ordered from left to right, with zero in the middle. It is typically a straight line that extends infinitely in both directions, with evenly spaced markings that represent specific points along the line.

The solution of x < 5 should consist of number less than 5

The inequality used is less than and hence should have values saying less than

Other options has numbers more than 5 such as 6 except option B

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Answer:

495

Step-by-step explanation:

using the definition

n\(C_{r}\) = \(\frac{n!}{r!(n-r)!}\)

where n! = n(n - 1)(n - 2) ... × 3 × 2 × 1

then

12\(C_{4}\)

= \(\frac{12!}{4!(12-4)!}\)

= \(\frac{12!}{4!(8!)}\)

cancel 8! on numerator/ denominator

= \(\frac{12(11)(10)(9)}{4!}\)

= \(\frac{11880}{4(3)(2)(1)}\)

= \(\frac{11880}{24}\)

= 495

The range of points he can score between in his fifth game to be in his goal is 33 ≤ points < 58.

Let the points in the fifth game = x

According to question,

Points scored in the first game = 22

Points scored in the second game = 28

Points scored in the third game = 18

Points scored in the fourth game = 24

Average = \(\frac{22+28+18+24+x}{5}\)

              = \(\frac{92+x}{5}\)

Given, 25 ≤ Average < 30

         \(25\leq \frac{92+x}{5} < 30\)

          25*5 ≤ 92 + x < 30*5

          125 ≤ 92 + x < 150

         125 - 92 ≤ x < 150 - 92

               33 ≤ x < 58

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Answer:

488

Step-by-step explanation:

You divide 28453 by 58.3053278689 and get 488.

Angle EFG is an angle with a measure of 42 degrees is drawn below.

Given that, angle EFG= 42 degrees.

Angle EFG is an angle with a measure of 42 degrees. To draw angle EFG, first draw a line segment and mark two points on the line segment. Label the two points E and F. Then, using a protractor, measure out an angle with a measure of 42 degrees from the line segment EF, starting from point E. Finally, mark the end of the angle as point G.

Therefore, angle EFG is an angle with a measure of 42 degrees is drawn below.

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Multiplied by 15.5 to 3.75 is 58.125.

To solve the:

15.5 is multiplied by 3.75

Now,

15.5 × 3.75

=  58.125

What is the process of Multiplication ?

Multiplication is the process of calculating the total of one number multiplied by another. There will be simple tests in addition, subtraction, multiplication and division. 2. uncountable noun. The multiplication of things of a particular kind is the process or fact of them increasing in number or amount.

Hence, Multiplied by 15.5 to 3.75 is 58.125.

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Data for the question :

Sea surface temperature 26.7 26.6 26.6 26.5 26.3 26.1

Growth 0.85 0.85 0.79 0.86 0.89 0.92

Answer:

d. Every increase in sea surface temperature of one degree Celsius will result in an average of 0.1578 fewer centimeters of coral growth per year.

Step-by-step explanation:

Given the data :

Surface Temperature (X) : 26.7 26.6 26.6 26.5 26.3 26.1

Growth (Y) : 0.85 0.85 0.79 0.86 0.89 0.92

Using a regression calculator, we can find the model equation and extract the slope :

The regression equation obtained is :

y=5.039-0.1578x

From y = mx + c

Where m = gradient or slope

c = intercept

x and y are predictor and predicted variables respectively.

Hence, the gradient or slope (m) of the model = - 0.157. We have a negative slope, hence, increase in x will result una decrease in y.

The slope thus means: for every 1 degree increase in sea surface temperature (x), there is an average decline of about 0.1578 cm in growth per year.

Answer:

sample size n would be 149305 large

Value of n (149305) is too high, this will be the practical problem with attempting to find this confidence interval

Step-by-step explanation:

Given that;

standard deviation α = 150 min

confidence interval = 99%

since; p( -2.576 < z < 2.576) = 0.99

so z-value for 99% CI is 2.576

E = 1 minutes

Therefore

n = [(z × α) / E ]²

so we substitute

n = [(2.576 × 150) / 1 ]²

n = [ 386.4 ]²

n = 149304.96 ≈ 149305

Therefore sample size would be 149305 large

Value of n is too high, that would be the practical problem with attempting to find this confidence interval

The trade discount is $15.75.

A trade discount is a regular reduction from a product's regular, established price. The use of trade discounts allows a company to adjust the final price based on the volume or status of each customer.

It is important to note that trade discounts are not the same as early-payment discounts. (Early-payment discounts of 1% or 2% are typically recorded by the seller in an account such as Sales Discounts and by the buyer in an account such as Purchase Discounts using the periodic inventory method.) Neither the seller nor the buyer keeps a separate account for trade discounts.

We must first determine the product's list price in order to determine the trade discount.

List price: $75 plus $3.75 equals $78.75

As the trade discount rate is 20%, the following discount is offered:

Discount = 0.2 times List price = 0.2 times $78.75 = $15.75

The trade discount is therefore $15.75.

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Given : b(x) = | x + 4 |

So, to find b(-10) , substitute with x = -10 at the function b(x)

So, b(-10) = | -10 + 4 | = | -6 | = 6

Answer:

15 girls.

Step-by-step explanation:

Hope this helps!

Answer:

15 girls

Step-by-step explanation:

2:3 ratio

If you know the amount of boys, then 2x=10, x=5

Now you know that the scale factor is 5

So, multiply 5*3 to get the amount of girls

Answer: Option 1- x = 0; x = 2 is an extraneous solution

Step-by-step explanation:

Given : The rational equation

To find : Solve the equation and check for extraneous solutions ?

Solution :

The equation

Cross multiply

For extraneous solution put the value of x in the equation,

At x=0,

True

At x=2,

True

So, At x=0,2 is an extraneous solution

Therefore, Option 1 is correct.

Answer:

Step-by-step explanation:

a) 21 times 2 plus 3 equals 45, 45 is the next number of the sequence.
b) term 2 is (29-3)/2 which is 13 then (13-3)/2 = 5.  So the first term is 5

Answer:

m= -5/-3 (:

Step-by-step explanation:

The table shows a data for an antenna that revolves at exactly twice the rate of the antenna described in the graph is Table D.

The formula to calculate the rate will be:

= Change in revolution/Change in time

The rate of the given antenna will be:

= (60 - 30)/(4 - 2)

= 30/2

= 15

Also, the rate of antenna 1 is 23, antenna 2 is 25, antenna 3 is 2. The rate for antenna 4 will be:

= (720 - 660)/(24 - 22)

= 60/2

= 30

It can be seen that 30 is double of 15.

Therefore, table D revolves at exactly twice the rate of the antenna.

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Answer:

16

Step-by-step explanation:

The volume of the two prisms compares that the volume of prism B will double.

We are given that side length of the cube measured 18 inches in length. She built another prism (Prism B) with the same dimensions as the cube, except she doubled its height.

When the prism is such that if we slice it horizontally at any height smaller or equal to its original height, the cross-section is same as its base, then its volume is:

V = B x h

So, the volume of the two prism A= V = B x h

V = 18 x h = 18h

the volume of the two prism B= V = B x h

V = 18 x 2h = 36h

So, the volume of prism B will double thus the correct option is B.

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The complete question is;

Anna built a prism (Prism A) out of a cube of wood. The side length of the cube measured 18 inches in length. Anna built another prism (Prism B) with the same dimensions as the cube, except she doubled its height.

How does the volume of the two prisms compare?

The volume of prism B will triple.

The volume of prism B will double.

The volume of prism B will decrease.

The volume of prism B will be cut in half.

Answer:

\(n_1 = 256\) bytes

\(n_2 = 128\) bytes

a) There are 256 different possible bytes.

b) There are 128 different possible bytes.

(a) To calculate the number of different bytes that are possible, you can think of each bit in a byte as having two possible states (0 or 1). Since there are 8 bits in a byte, you can use the multiplication principle to find the total number of different bytes:

Number of different bytes = 2⁸

= 256

So, there are 256 different possible bytes.

(b) If the first bit of a byte is used as a parity check and is determined by the other seven bits, this means that the first bit is not free to be 0 or 1 independently. It must be set in a way that ensures that the total number of 1s in the byte (including the parity bit) is either even or odd, depending on the parity scheme (even or odd parity).

For even parity, you would set the first bit so that there is an even number of 1s in the byte. For odd parity, you would set the first bit so that there is an odd number of 1s in the byte.

Let's calculate the number of different bytes for each parity scheme:

Even Parity:

You have 7 bits that can be freely set to 0 or 1.

The first bit is determined by the parity rule, so there's no choice here.

For the remaining 7 bits, there are 2⁷ = 128 possibilities.

So, for even parity, there are 128 different possible bytes.

Odd Parity:

Similar to even parity, you have 7 bits that can be freely set to 0 or 1.

The first bit is determined by the parity rule.

For the remaining 7 bits, there are 2⁷ = 128 possibilities.

So, for odd parity, there are also 128 different possible bytes.

In both cases (even and odd parity), there are 128 different possible bytes when considering the parity bit and the other 7 bits.

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Answer:

Rotation of 90° (CounterClockwise) (x, y) (-y, x)

Rotation of 180° (Both Clockwise and Counterclockwise) (x, y) (-x, -y)

Rotation of 270° (Clockwise) (x, y) (-y, x)

Rotation of 270° (CounterClockwise)

Step-by-step explanation:

Answer:

5; 790

Step-by-step explanation:

x is number of weeks

750+8x=650+28x

100=20x

x=5

750+8*5=790

650+28*5=790