Which expression is another way of representing the given product?
-9 × (-8)
OA. (-9 x 8) + (-3 × 8)
O B.
(-9 × (-8)) + (− × (-8))
OC. (-9 × (-8)) + ( × (-8))
OD. (-9 x 8) + (× (-8))

Answer:

18 days later.

Step-by-step explanation:

Rick would have gone to the supermarket twice, and Natalie would have gone three times.

The correct answer is (D) A and B. Both a run of six points or more and an astronomical point can be rules for determining non-random patterns.

A run of six points or more refers to a sequence of data points that share a common characteristic or exhibit a consistent trend.

In statistical analysis, a run is a consecutive sequence of data points above or below a certain threshold. If there is a run of six points or more in a dataset, it suggests a non-random pattern or trend.

An astronomical point refers to a data point that significantly deviates from the expected pattern or falls outside the normal range of values. This point stands out as an outlier and may indicate a non-random pattern in the data.

By combining these two rules, A and B, we can identify non-random patterns in a dataset. A run of six points or more indicates a sustained trend, while an astronomical point signifies a significant deviation from the expected pattern.

It's important to note that a trend of three points or fewer, as mentioned in option (C), does not provide enough evidence to determine a non-random pattern. A trend of three points or fewer may still be subject to randomness or noise in the data, and it is not considered statistically significant.

Therefore, the correct answer is option (D) A and B, as both a run of six points or more and an astronomical point can help identify non-random patterns in data.

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Answer:

d

Step-by-step explanation:

Answer:

?=78

Step-by-step explanation:

The area of the triangle is approximately 0.968 square meters.

Heron's formula is a mathematical formula used to determine the area of a triangle when the lengths of its sides are given. It was discovered by Hero of Alexandria, a Greek mathematician in the first century AD.

The formula states that the area of a triangle is equal to the square root of the product of its semiperimeter and the difference of each of its semiperimeter sides.

Semiperimeter is a term used to describe half of the triangle's perimeter. In the given triangle having sides of 1m, 2m, and 2m, the semiperimeter is calculated by adding the three sides together and then dividing the sum by two, as follows:

Semiperimeter = (1 + 2 + 2) / 2 = 2.5m Using the Heron's formula,

the area of the triangle can be calculated as shown below:

Area of triangle = sqrt (2.5 (2.5 - 1) (2.5 - 2) (2.5 - 2))

= sqrt (2.5 x 1.5 x 0.5 x 0.5)

= sqrt (0.9375)

= 0.968 m²

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Answer:

0.02

Step-by-step explanation:

divide the money by how much you have..

i dont know if its right but i hoped i helps

Answer:

$0.02 each lollipop

Step-by-step explanation:

divide $20 by quantity to get unit rate

20/1000 = 2/100 = 2 cents

Answer:

Step-by-step explanation:

Since the expressions are multiplied, for the product to equal zero, one term or another has to equal 0 because 0 times anything is zero.

(10-x)(3x-9)=0 when

10-x=0, x=10

3x-9=0, x=9/3=3

So there are two solutions when x=3 and x=10

Answer:

 ( − 2 ) ( − 1 ) ( + 1 ) ( + 2 )

Step-by-step explanation:

Find one factor

( − 2 ) ( ^3+ 2 ^ 2 − − 2 )

( − 2 ) ( − 1 ) ( ^ 2 + 3 + 2 )

( − 2 ) ( − 1 ) ( + 1 ) ( + 2 )

( − 2 ) ( − 1 ) ( + 1 ) ( + 2 )

Answer:

Step-by-step explanation:

only the 1st and 5th statements are true

If the faster car is travelling 20 mph faster then slower car then the speed of slower car is 55mph and faster car is 75 mph.

Given that the faster car is travelling 20 mph faster than slower car and when slower car travels 165 miles the faster car travels 225 miles.

We are required to find the speed of slower car and faster car.

let the speed of slower car be x mph.

In this way the speed of faster car be (x+20) mph.

Speed=Distance/ time

We have to first take slower car.

x=165/Time

Time=165/x-----------1

Now by taking faster car.

x+20=225/time

Time=225/(x+20)-------2

From equation 1 an equation 2.

165/x=225/(x+20)

225x=165x+3300

225x-165x=3300

60x=3300

x=55 mph

Faster car=55+20

=75 mph.

Hence if the faster car is travelling 20 mph faster then slower car then the speed of slower car is 55mph and faster car is 75 mph.

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Answer:

Step-by-step explanation: Multiplication first 7x1 = 7, Take 7 and divide it by 10 which gives you 0.7, Do the same but for the other 2 questions,

(9x1/100 = 0.09)

(9x1/1000 = 0.009)

(7x1/10 = 0.7)

Now take the answers and add them up

0.09 + 0.009 + 0.7 = 0.799

Answer: 0.799

The most common error when entering a formula is to reference the wrong cell in the formula.

This error occurs when the cell references within a formula do not match the intended cells. It can lead to incorrect calculations and produce unexpected results. For example, if a formula is supposed to use data from cell A1 but mistakenly refers to cell B1, the calculation will be based on the wrong data. It is important to double-check and ensure that the cell references in a formula accurately reflect the intended data sources to avoid this common mistake.

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No, every linear equation is not a quadratic equation.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Any equation of the form ax²+bx+c=0  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

Every linear equation is also a quadratic equation. A polynomial equation is a linear equation or a quadratic equation.

Thus, not every linear equation is not a quadratic equation.

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3 consecutive even integers adds up to 12

So, Let the numbers are :

so, the sum of the numbers = 12

so, the numbers are : 2 , 4 and 6

So, the greatest number = 6

Answer: -3

Step-by-step explanation:

6 times 3 is 18, so y is -3

Answer:

4.5 is greater than/less than -2.7

placed in order is:

-3, -2.5, 0, 1/4, 3.1, and lastly 6

We can estimate that each square formed by dividing the rectangle has a side length of approximately 5.57 units.

Let's denote the width of the rectangle as x. Then, according to the problem, the length of the rectangle is twice the width, so its length is 2x. The area of the rectangle is given as 62 square units, so we can write:

Area of rectangle = length x width

62 = 2x * x

62 = 2x^2

Solving for x, we get:

x^2 = 31

x ≈ 5.57

Therefore, the width of the rectangle is approximately 5.57 units, and its length is approximately 2 * 5.57 = 11.14 units.

Now, we are asked to estimate the side length of each square that can be formed by dividing the rectangle into two equal parts. Since the area of each square is half of the area of the rectangle, we can write:

Area of each square = (1/2) × (length × width)

Area of each square = (1/2) × (2x × x)

Area of each square = x^2

Substituting the value of x from above, we get:

Area of each square ≈ 31

The side length of each square ≈ √31 ≈ 5.57

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The price of carrots per ounce is $0.24 .

Ounce is an unit of mass in the Imperial System. It is widely used throughout the world and is one of the oldest units of measurement to still exist. The unit ounce is derived from uncia, a unit of measurement in roman times.

The ounce(abbreviated oz) is equal to approximately 28.35 grams and 16 ounces make up a pound.

Now it is given that a 2-pound bag of carrots cost $7.68 .

Therefore price per pound of carrots=$7.68÷2

Price per pound=$ 3.84 .

Now we know that 16 ounces make up a pound.

Price of carrots per ounce=  $3.84 ÷16

Price per ounce=  $ 0.24

Therefore the price of carrots per ounce is $0.24

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The answer is A. or Divide 8 into 62 to get 7.

The answer is A. because if you start a long division problem you need to do these steps in order:

Divide

Multiply

Subtract

Repeat/Remainder,

So you divide first so that automatically takes off C./D.

Then figure out if 8 goes into 62 or 7 goes into 62

8 x 8=64. 64 is over 62, which means its incorrect.

7 x 8=56. It is less than 62, so it is correct.

Hope this helps.

Also its correct cause i check after the quiz

The first step to solving the division problem 6288 divided by 8 is "divide 8 into 62 to get 7". The correct answer is option A.

The correct first step in the division process, as it sets the foundation for further dividing subsequent digits and obtaining the final quotient.

Since 8 is larger than 6, it cannot be divided evenly.

Therefore, we move to the next digit of the dividend, which is 62.

The purpose of this step is to determine the digit in the quotient that corresponds to this division.

Here, dividing 8 into 62 gives us a quotient of 7, as it can be divided 7 times.

Thus, the first step to solving the division problem 6288 divided by 8 is to divide 8 into the leftmost digit of the dividend, which is 6.

This step involves determining how many times 8 can be evenly divided into 6.

Thus, the correct answer is option A.

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The complete answer is as follows:

What is the first step to solving the division problem below? 6288 divided by 8

A. Divide 8 into 62 to get 7.

B. Divide 8 into 62 to get 8.

C. Multiply 8 by 7 to get 56.

D. Multiply 8 by 8 to get 62.

Answer:

its this symbol

Step-by-step explanation:

The distance between ping's home to aris's home will be 1 street and 12th avenue.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given,

Ping house ⇒ 3rd street and 6th avenue

Ari's home ⇒  21st street and 18th avenue

So, the distance between them

21 - 3 = 18 street

18 - 6 = 12 avenue.

Hence "The distance between ping's home to aris's home will be 1 street and 12th avenue".

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The solution is y/(x+y) = 2/3 x²(3+y/x)y/(x+y) = 2x²+2y²yx²+xy-2y² = 0and y(1) = 2solving for y we get y = (x/2)(-1 + sqrt(1+8x))

Given Differential equation is (2xy+3y²)dx - (x²+6xy)dy = 0(I)

Determine whether the differential equation is separable or homogeneous.

Given Differential equation is not separable because it can not be separated into two functions in such a way that all occurrences of one variable are on one side and all occurrences of the other variable are on the other side. It can also not be homogeneous because it can not be expressed in a form where all the terms are of the same degree in x and y.

(II) Based on your response to part (I), solve the given differential equation with the appropriate method. Do not leave the answer in logarithmic equation form.

The given differential equation (2xy+3y²)dx - (x²+6xy)dy = 0 can be written in the form:

dy/dx = [2xy+3y²]/[x²+6xy]

We can then use the substitution u = y/x

To find that dy/dx = u + x(du/dx).

Substituting into the original equation and separating the variables gives:

xdu/(u²+u-3) = dx/x.

Solving the integral of the left hand side gives:1/2 ln |u-1| - 1/2 ln |u+3| = ln

|x| + c1where c1 is the constant of integration.

Rearranging gives:

ln|(u-1)/(u+3)| = 2 ln

|x| + c1ln|(y/x)-1|/(y/x)+3 = ln x² + c1

Simplifying gives:

y/(x+y) = Ax²where A = exp(c1/2).

(III) Given the differential equation above and y(1) = 2, solve the initial problem.

The differential equation is:

y/(x+y) = A

x²at (x,y) = (1,2) we have:2/(1+2) = A

Therefore A = 2/3

Therefore the solution is:

y/(x+y) = 2/3 x²(3+y/x)y/(x+y) = 2x²+2y²yx²+xy-2y² = 0and y(1) = 2solving for y we get:y = (x/2)(-1 + sqrt(1+8x))

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Answer:

Step-by-step explanation:

The ratio between the volume of the small cone to that of the frustum is 1:1.

Notice that the bigger cone is double than the smaller cone, which means the smaller cone is half of the volume of the bigger cone, if you wipe the small one, you would have the frustum with the same volume as the wiped part, because if you delete the smaller cone, you would be deleting half volume of the bigger cone, giving at the end a relation 1 : 1 between the frustum and the smaller cone.

Since they polled 22 people and this is a very small sample size to represent the entire population,

So it would have large chances to get inaccurate results.

Then, the wrong with this poll is

"The conclusion is based on a small sample."

The expression 24 - 2x is suitable for the length of the garden as it accounts for the width and represents the remaining length of fencing available for the garden.

To enclose a rectangular garden, three sides need to be fenced, while one side is already adjacent to Mr. Picasso's house. The remaining three sides will consist of two equal lengths for the width and one length for the length of the garden.

Since the total length of fencing available is 24 ft, the width requires two equal sides, each of length x ft, which amounts to 2x ft. Subtracting this width from the total length of fencing gives us 24 - 2x ft, which represents the remaining length available for the length of the garden.

Therefore, 24 - 2x is an appropriate expression for the length of the garden as it takes into account the already utilized length for the width and represents the remaining length available for the garden's length.

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Answer:

7.36 an hour

Step-by-step explanation:

If she earns that much for 18 h, divide the amount she makes in 18 h by 18 parts because 18h/18 = 1 h. If done properly, you will get $7.36.

Answer:

0.2 or 20%

Step-by-step explanation:

The odds that you are going to draw a green marble is 80%, so therefore, the remaining percentage should be 20%.

I hope this helps!

The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

From the question, we have the following parameters that can be used in our computation:

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

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