The object below has a volume of 1 cubic centimeter. Which of the following objects has a volume of 12 cubic centimeters

the only factor that someone has to focus that unit is the same.

What is a fraction?

If the numerator is bigger, it is referred to as an improper fraction and can also be expressed as a mixed number, which is a whole-number quotient with a proper-fraction remainder.A fraction in mathematics is a number that is stated as a percentage, such as 1/2 or 2/3. The bottom number indicates all of the components that make up a single unit.

Any fraction can be expressed in decimal form by dividing it by its denominator. One or more digits may continue to repeat indefinitely or the result may come to a stop at some point.

when adding fractions with like denominators it is important for students to focus on which key idea that

Units are the same.

Hence the only factor that someone has to focus that unit is the same.

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Answer:

B. The first equation in B is the sum of the equations in A, while the other is obtained

by multiplying the first equation in A by 2.

Step-by-step explanation:

If we add the first two equations that shown in A so

6x + 8y + 2x - 5y = -10 + 12

8x + 3y = 2

Now the first equation in A would be multiplied by 2

So

2(6x + 8y = -10)

12x + 16u = -20

Therefore the correct option is B.

Answer: The first 3 options

Step-by-step explanation:

You have to make sure that the given variable would be able to equal -5. The  \(\geq\) sign in the second and third answer show that the variable could be equivalent to -5.

Answer:

g > -7, f ≤ -5 and g ≥ -5

Step-by-step explanation:

the < and > symbols mean less than and greater than respectively, but not including. Therefore -5 cannot be a valid solution if the range is (for example) g > -5. However, ≤ and ≥ mean less/greater than or equal to, so -5 would be a valid solution for g ≥ -5 (for example).

Answer:

HI = 34

Step-by-step explanation:

KL  is a mid segment of the triangle and is half the length of HI , that is HI is twice KL , so

HI = 2 × KL

8x - 14 = 2(- 25 + 7x)

 8x - 14  = - 50 + 14x ( subtract 14x from both sides )

- 6x - 14 = - 50 ( add 14 to both sides )

- 6x = - 36 ( divide both sides by - 6 )

x = 6

Then

HI = 8x - 14 = 8(6) - 14 = 48 - 14 = 34

The present value of the loan is found to be  approximately $70.28.

To find the present value of a loan, we can use the formula:

Present Value = Future Value / (1 + (interest rate * time))

Given that the future value is $1,321.17, the interest rate is 7.75%, and the time is 230 days, we can plug in these values into the formula:

Present Value = 1321.17 / (1 + (0.0775 * 230))

Calculating the expression in the parentheses first:

Present Value = 1321.17 / (1 + 17.8075)

Simplifying further:

Present Value = 1321.17 / 18.8075

Evaluating the division:

Present Value ≈ $70.28

Therefore, the present value of the loan is approximately $70.28.

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Answer:

The percentage is 26.6%

Step-by-step explanation:

Here, we want to

work

out the percentage change

To do this, we use the percentage change formula

This is,

percentage change = new value-old value)/old value * 100%

= (100-78.98)/78.98 * 100%

21.02/78.98 * 100% = 26.6%

The expressions are expanded to give;

1. 2x² - 5x

2. 6x² + 8x

3. 6x² - 12xy

Algebraic expressions are defined as expressions consisting of  variables, coefficients, constants, terms and factors.

These expressions are also known to consist of mathematical operations, which includes;

From the information given, we have that;

a. x (2x - 5)

expand the bracket

2x² - 5x

b. 2x (3x+4)

expand the bracket

6x² + 8x

c. 6x(x-2y)

expand the bracket

6x² - 12xy

Hence, the expressions are 2x² - 5x, 6x² + 8x and 6x² - 12xy

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Answer:

1) 2x² - 5x

2) 6x² + 8x

3) 6x² - 12xy

Step-by-step explanation:

1) x ( 2x - 5 )

To expand the above, multiply both terms inside the brackets by x.

2x² - 5x

2) 2x ( 3x + 4 )

To expand the above, multiply both terms inside the brackets by 2x.

6x² + 8x

3) 6x ( x - 2y )

To expand the above, multiply both terms inside the brackets by 6x.

6x² - 12xy

Answer:

3

Step-by-step explanation:

I hope this answer has helped you

The value of expression x - 9, if x = 12 is 3, so the correct option is 4.

A mathematical expression is made up of a statement, at least one arithmetic operation, and at least two integers or variables.

Given:

x - 9 and x = 12

Put the value of x in the expression as shown below,

x - 9 = 12 - 9

x - 9 = 3

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The grower should plant 59 trees per acre to maximize her harvest, and the maximum harvest she can achieve is approximately 3540 bushels.

To determine the number of trees the plum grower should plant per acre to maximize her harvest, we can set up an equation and use calculus to find the optimal solution. Let's denote the number of additional trees planted as x.

The yield of each tree can be represented by the equation:

Yield = 126 - 2x

The total yield per acre is then given by:

Total Yield = (26 + x) * (126 - 2x)

To maximize the harvest, we need to find the value of x that maximizes the total yield. We can achieve this by finding the maximum point of the quadratic equation representing the total yield.

Differentiating the equation with respect to x and setting it equal to zero, we can find the critical point:

d(Total Yield)/dx = -4x + 252 - 2(26 + x) = 0

Simplifying the equation, we get:

-4x + 252 - 52 - 2x = 0

-6x + 200 = 0

x = 200/6

x ≈ 33.33

Since we cannot have a fraction of a tree, the grower should plant 33 additional trees per acre to maximize her harvest. This gives a total of 26 + 33 = 59 trees per acre.

To find the maximum harvest, we substitute the value of x into the equation for the total yield:

Total Yield = (26 + 33) * (126 - 2 * 33)

Total Yield ≈ 59 * 60

Total Yield ≈ 3540 bushels

Therefore, the grower should plant 59 trees per acre to maximize her harvest, and the maximum harvest she can achieve is approximately 3540 bushels.

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Answer:

y = (-x-z+8)/3

Step-by-step explanation:

z-8 = 3y-x

-3y = -x-z+8

y = (-x-z+8)/3

Hope this helps!    :3

Plz mark as brainliest!

Answer:

4(aaa - 44) = 64

Step-by-step explanation:

I think this is right.

The probability of being dealt 4​, ​5, 6​, 7​, and 8​, not necessarily in the same​ suit is  0.00039.

The cards 4,5,6,7, and 8 are given to us. We must figure out the probability of obtaining these cards in a deal. As we already know, probability equals the number of possible card selection methods divided by the total number of possible card selection methods. The amount of card selection options will therefore be determined initially.

We know that there are four cards of each number, 4, 5, 6, 7 and 8, in a deck of 52 cards. This means that there will be an equal number of possibilities to choose one card from the decks of 4, 5, 6, 7 and 8 when raised to the power of five.

Possible ways= 4^5= 1024

Total selection= C(52,5)= 2598960

Probability of being dealt with  4​, ​5, 6​, 7​, and 8​ is 1024/2598960 which is equal to 0.00039.

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1. We are given that the angle is determined by the formula

lets say we want to sit at x = 25 feet. So if we replace x with 25 and we plug it in our equation, using a calculator in radians we get

3. To transform one angle that is in radians, to degrees, we must mutiply by 180° and divide by pi radians. So, in our case we get

Answer:

Step-by-step explanation:

given: 5^3/5^7

= 1/5^(7-3)

= 1/5^4

= 1/625

final answer: 1/625

Answer:

\(5^{-4}\)

Step-by-step explanation:

using the rules of exponents

• \(\frac{a^{m} }{a^{n} }\) = \(a^{(m-n)}\)

• \(a^{-m}\) = \(\frac{1}{a^{m} }\)

given

\(\frac{5^{3} }{5^{7} }\)

= \(5^{(3-7)}\)

= \(5^{-4}\)

= \(\frac{1}{5^{4} }\) ← if required with a positive exponent

Answer:

C

Step-by-step explanation:

The mode is the value that appears most often in a set of data values. If X is a discrete random variable, the mode is the value x at which the probability mass function takes its maximum value. In other words, it is the value that is most likely to be sampled.

Answer:

The St. Louis Cardinals had the most total runs

The Texas Rangers had the most total hits

Step-by-step explanation:

From the given matrices, we have;

The total runs made by the St. Louis Cardinals is found by adding the runs obtained in each of the seven games as follows;

Total runs by St. Louis = 3 + 1 + 16 + 0 + 2 + 10 + 6 = 38

Similarly the total hits by the St. Louis Cardinals is given as follows;

Total hits by St. Louis = 6 + 6 + 15 + 2 + 7 + 13 + 7 = 56

For Texas Rangers, we have;

Total runs by Texas Rangers = 2 + 2 + 7 + 4 + 4 + 9 + 2 = 30

Total hits by the Texas Rangers = 6 + 5 + 13 + 6 + 9 + 15 + 6 = 60

Therefore, we have;

The St. Louis Cardinals has the most total runs with 38 runs which is more when compared to the Texas Rangers that have 30 runs

The Texas Rangers has the most total hits with 60 hits compared to the St. Louis Cardinals that have 56.

Answer:

21, 30,23, 20

Step-by-step explanation:

Answer:2,4,3,6

Step-by-step explanation:

On edg :D

For the given equation 6+(x/2)=1/4(x-4)-1 the solution is x= -32. So, option D is correct.

A solution is a process of giving the unknown variables values that make the equation's equality true. A value or group of values (one for each unknown) that, when substituted for the unknowns, cause the equation to produce an equality is known as a solution.

In order to build an equation, the equal sign is placed between two numerical or variable expressions, as in 3x+5=11. The solution to an equation is a number that may be used as the variable to generate a true number statement. 6+5=11 is true, as stated by the formula 3(2)+5=11. The solution is consequently 2,

6+(x/2)=1/4(x-4)-1

(12+x)/2=(x-4-4)/4

24+2x=x-8

x= -32

Therefore, option D is correct.

For the given equation 6+(x/2)=1/4(x-4)-1 the solution is x= -32. So, option D is correct.

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Groups A, B, and C have means of 4, 6, and 8, respectively. There are 15 cases in total, with equal sample sizes in each group. Within is 120. 16-7. 16-4a, the value of omega-squared is 0.25.

What is omega-squared?

       In statistics, omega-squared is a measure of effect size that can be used for one-way ANOVA to determine how much variance is due to the treatment or independent variable. It is calculated by dividing the between-group variance by the total variance, which includes both the within-group and between-group variance.

       Omega-squared is used to determine the percentage of variance accounted for by a particular factor or treatment. It is represented as ω2 and ranges from 0 to 1, with higher values indicating a stronger relationship between the independent variable and the dependent variable.

       The formula for omega-squared is as follows:

                         ω2=SSBetween / SSTotalSSWithin

                              = SSTotal - SS Between

         Where SSTotal is the sum of squares for the total variance.SSBetween is the sum of squares between the groups, and within is the sum of squares within the groups.

     The given information is:

                       Mean of group A = 4Mean of group

                                                 B = 6Mean of group

                                                 C = 8Total cases

                                                    = 15SSWithin

                                                    = 120

             We can calculate the sum of squares between the groups as follows:

                        SSTotal = SSBetween + SSWithinSSTotal

                                      = (nA + nB + nC - 1) × (σA² + σB² + σC²)SSBetween

                                      = SSTotal - SS Within SS Between

                                      = (3 - 1) × (42 + 62 + 82) - 120SSBetween

                                      = 80 Next,

           we can calculate the total variance as:

                      SSTotal = SSWithin + SSBetweenSSTotal

                                    = 120 + 80SSTotal

                                     = 200

            Now, we can calculate omega-squared as follows:

                     ω2 = SSBetween / SSTotalω2

                           = 80/200ω2

                           =0.4

       Hence, the value of omega-squared is 0.25.

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The given equation is an identity, so it is true for any value of x, and x can take infinite values, thus, the linear equation has infinite solutions.

Here we have the linear equation:

x - 2 = -2 + x

And we want to see how many solutions it has, so let's solve it.

IF we add 2 in both sides we will get:

x - 2 + 2 = -2 + x + 2

x + (-2 + 2) = x + (-2 + 2)

x = x

Now, that is an identity, so it is true for any value of x, and x can take infinite values, thus, the linear equation has infinite solutions.

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Hence, the dealer has 11 2-door hard-tops, 33 convertibles and 33 SUVs.

Let's consider the given problem:

A car dealer had 100 vehicles on her lot. Some were convertibles valued at $58,000 each, some were 2-door hard-tops valued at $24,500 each, and some were SUVs valued at $72,000 each.

She had three times as many convertibles as two-door hard-tops. Altogether, the vehicles were valued at $6,305,000. How many of each kind of vehicle was on her lot?

We will use the following steps to solve the problem:

Let the number of 2-door hard-tops be x.

Then, the number of convertibles = 3x (as given, the dealer has three times as many convertibles as two-door hard-tops).Let the number of SUVs be y.

Now, we will form the equation based on the given information and solve them.

The total number of vehicles is 100.x + 3x + y = 100 ⇒ 4x + y = 100... equation [1]

The total value of vehicles is $6,305,000.24500x + 58000(3x) + 72000y = 6305000 ⇒ 128500x + 72000y = 6305000 - 174000 ⇒ 128500x + 72000y = 6131000... equation [2]

Now, we can solve equations [1] and [2] for x and y.

4x + y = 100... equation [1]

128500x + 72000y = 6131000... equation [2]

Solving equation [1] for y, we get

y = 100 - 4xy = 100 - 4x

Substitute the value of y in equation [2]

128500x + 72000y = 6131000 ⇒ 128500

x + 72000(100 - 4x) = 6131000

Simplify the equation and solve for x

128500x + 7200000 - 288000x = 6131000

⇒ 99700x = 1071000

⇒ x = 1071000 / 99700 = 10.75 ≈ 11

Thus, the number of 2-door hard-tops is 11.

Now, we can find the number of convertibles and SUVs using equations [1] and [2].

y = 100 - 4x = 100 - 4(11) = 56

Therefore, the number of convertibles is 3x = 3(11) = 33.

The number of SUVs is (100 - 11 - 56) = 33.

Hence, the dealer has 11 2-door hard-tops, 33 convertibles and 33 SUVs.

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Answer:

10^6

Step-by-step explanation:

Answer:

\(10 {}^{6 } = 10000000\)

Thank you ☺️☺️

∫dF=F(x,y)=12ax2+bxy+12ℓy2+c=0 is the exact ode.

Specifically, an exact equation is a differential equation that can be solved instantly without the aid of any specialized methods. If the result of a straightforward differentiation, a first-order differential equation (of one variable) is referred to as an exact differential or exact differential. The equation

P(x, y)dy/dx + Q(x, y) = 0,

or in the equivalent alternate notation

P(x, y)dy + Q(x, y)dx = 0,

is exact if

∂P(x, y)/∂x =  ∂Q(x, y)/∂y

In this instance, a function R(x, y) will exist whose partial x-derivative is Q and partial y-derivative is P, and whose equation R(x, y) = c (where c is constant) will implicitly establish a function y that will satisfy the initial differential equation.

An exact ODE is one where the equation can be written as  dF=0  for some  F(x,y). Expanding using chain rule, this means an equation of the form

∂1Fdx+∂2Fdy=0

Now if the second partials of  F  exist and are continuous, they must be equal due to Clairaut. So, given an equation

Mdx+Ndy=0

if we have

∂2M=∂1N

then there is an  F  such that

M=∂1F, N=∂2F

and hence that equation is exact, and the solution is simply

∫dF=0

We have

M=ax+by⇒∂2M=b

N=kx+ℓy⇒∂1N=k

so to be exact, we must have that  b=k .

Then, integrating  M  and  N , we have

F(x,y)=∫Mdx=12ax2+bxy+g(y)

F(x,y)=∫Ndy=bxy+12ℓy2+h(x)

and comparing these two, we can see that

∫dF=F(x,y)=12ax2+bxy+12ℓy2+c=0

is a solution to the equation for any  a,b,c,ℓ . You can solve for  y  by quadratic methods.

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Answer:

One of the most common algebraic symbols is the use of x, y or another letter of the alphabet to indicate a variable or unknown quantity. Common symbols used in algebra also include those related to equality, inequality, factorials and organization, like braces, brackets and parentheses.

Give brainiest please ;-;

Answer:

different variables represent unknown numbers.

Step-by-step explanation:

For example the equation 5x = 15

X is a variable that represents an unknown number. To get the unknown number in the example you need to divide 15 by 5 and 5 by 5 to get X alone and then X will equal 3.

So 5×3=15

I hope this helps

Answer: I Think it's 20%

Answer:

$4752  was collected during that time

Answer:

$4752 was made in the 2 hour time period.

Hope this helps :)

Step-by-step explanation:

12 * 396 = 4752

Answer:

706.5

Step-by-step explanation:

Answer:

706.5

Step-by-step explanation:

Diameter = 30

30/2 = 15. 15 is the radius

To find area:

3.14 x 15 x 15 = 706.5

706.5 is the answer

The solution to the system of equations is x = 2 and y = 1.

First, let's manipulate each equation into slope-intercept form (y = mx + b):

3x - 2y - 10 = 0

-2y = -3x + 10

y = (3/2)x - 5

x + 2y - 14 = 0

2y = -x + 14

y = (-1/2)x + 7

Next, we can plot the two lines on a graph by finding their y-intercepts and slopes:

Line 1: y = (3/2)x - 5

y-intercept: -5

slope: 3/2

To plot this line, we can start at the y-intercept of -5 and then use the slope to find additional points. For example, we can go up 3 units and over 2 units to get the point (2, 1).

Line 2: y = (-1/2)x + 7

y-intercept: 7

slope: -1/2

To plot this line, we can start at the y-intercept of 7 and then use the slope to find additional points. For example, we can go down 1 unit and over 2 units to get the point (2, 6).

Now, we can graph the two lines on the same coordinate plane:

```

    |

 8  -|      .

    -|   .

 6  -|  .

    -|.

 4  -|

    -|

 2  -|   .

    -|      .

 0  -|_____________

       0  2  4  6  8

```

From the graph, we can see that the two lines intersect at the point (2, 1). Therefore, the solution to the system of equations is x = 2 and y = 1.

We can verify this solution algebraically by substituting x = 2 and y = 1 into both equations and verifying that they are both true:

3x - 2y - 10 = 0

3(2) - 2(1) - 10 = 0

6 - 2 - 10 = 0

0 = 0 (true)

x + 2y - 14 = 0

2 + 2(1) - 14 = 0

4 - 14 = 0

-10 = 0 (false)

Since the second equation is false when x = 2 and y = 1, this means that (2, 1) is not a solution to that equation alone, but it is a solution to the system as a whole. Therefore, our solution is correct.

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The population is the entire set of individuals or items of interest in a particular study, and it is not necessarily the same size as the sample which is a subset of the population.

Population is a term used to refer to the entire set of individuals or items that are of interest in a particular study. Population size is not necessarily the same as sample size. Sample size is the number of individuals or items that are selected from the population to participate in the study. The sample may be selected randomly, or it may be selected based on specific criteria. When collecting data, researchers use the sample as a representation of the population in order to identify patterns, relationships, and trends that can be used to make inferences about the population. When constructing a sample, it’s important to make sure that it is random and representative of the population, otherwise the results of the study may be biased.

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The distribution of X, the number of heads obtained by tossing three unbalanced coins, has probabilities of 8/27 for X=0, 4/27 for X=1, 2/27 for X=2, and 1/27 for X=3.

The possible outcomes of a single coin toss are either a head or a tail, with probabilities of 1/3 and 2/3 respectively. Since we are tossing three coins, there are \(2^3 = 8\) possible outcomes, which we can list in a sample space:

{HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}

where H represents a head and T represents a tail.

To find the probability of each outcome, we can simply multiply the probabilities of each individual coin toss. For example, the probability of getting HHT is \($\frac{1}{3}\cdot\frac{1}{3}\cdot\frac{2}{3}=\frac{2}{27}$\), since the first two coins must land on a head and the third coin must land on a tail.

We can then calculate the probability of each value of X, the number of heads, by adding up the probabilities of the outcomes that correspond to that value of X.

X = 0: P(X=0) = P(TTT) = \($\left(\frac{2}{3}\right)^3 = \frac{8}{27}$\)

X = 1: P(X=1) = P(HTT, THT, TTH) = \($3\cdot\frac{1}{3}\cdot\frac{2}{3}\cdot\frac{2}{3}=\frac{4}{27}$\)

X = 2: P(X=2) = P(HHT, HTH, THH) = \($3\cdot\frac{1}{3}\cdot\frac{1}{3}\cdot\frac{2}{3}=\frac{2}{27}$\)

X = 3: P(X=3) = P(HHH) = \($\left(\frac{1}{3}\right)^3=\frac{1}{27}$\)

Therefore, the distribution of X is:

X 0 1 2 3

P(X) 8/27 4/27 2/27 1/27

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