What is the GCF of 2×3³×5² and 2³×3×5²

Answer:

x=57

Step-by-step explanation:

Since the angles 'x' and '2x+7' add up to a supplementary angle (straight line)

we can then say;

\(x + 2x + 9 = 180\)

\(3x = 180 - 9\)

\(3x = 171\)

\(x = \frac{171}{3} = 57\)

Answer:

I think 57

Step-by-step explanation:

x+2x+9=180

3x+9=180

3x=180-9

3x=171

x=57

Answer:

No

Step-by-step explanation:

The rock has more mass and will therefore always have greater density than a piece of cork. This is also due to the atomic structure of the elements, molecules, and compounds that make it up.

Answer: 4 1/4 hours

Step-by-step explanation:

Answer:

it will take 4 hours and 30 minutes

Step-by-step explanation:

first you have to divide 4 by 17 so you would get 4 with a remainder of one. Next, four will be the number of hours and  the 1 is the 30 minutes.

P(X = 2) is not equal to P(X = 3)

To show that P(X = 2) = P(X = 3) in a binomial distribution with n = 5 and p = 0.5, we need to use the formula for the probability mass function (PMF) of a binomial distribution.

The PMF of a binomial distribution is given by the formula:

P(X = k) = C(n, k) *\(p^k * (1-p)^{(n-k)}\)

where n is the number of trials, k is the number of successes, p is the probability of success, and C(n, k) represents the binomial coefficient.

In our case, n = 5 and p = 0.5. Let's calculate P(X = 2) and P(X = 3) using the formula:

P(X = 2) = \(C(5, 2) * (0.5)^2 * (1-0.5)^{(5-2)}\)

        = 10 * 0.25 * 0.125

        = 0.3125

P(X = 3) = C(5, 3) * \((0.5)^3 * (1-0.5)^{(5-3)}\)

        = 10 * 0.125 * 0.125

        = 0.125

As we can see, P(X = 2) = 0.3125 and P(X = 3) = 0.125.

Therefore, P(X = 2) is not equal to P(X = 3) in this specific case of a binomial distribution with n = 5 and p = 0.5.

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Answer:

9lbs

Step-by-step explanation:

12*.75=9

The confidence interval for the given numbers, with a sample proportion of 0.88 and a confidence level of 0.94, is approximately (0.798, 0.962) when rounded to two decimal places.

To calculate the confidence interval for a random sample with a sample proportion of 0.88 and a confidence level of 0.94, we can use the formula:

\[ \text{Confidence Interval} = \text{Sample Proportion} \pm \text{Margin of Error} \]

The margin of error can be calculated using the formula:

\[ \text{Margin of Error} = \text{Critical Value} \times \text{Standard Error} \]

The critical value can be obtained from the Z-table or calculated using the inverse cumulative distribution function for the standard normal distribution.

Since the level of difficulty is set to 2, we can assume a two-tailed test. The critical value for a 94% confidence level with a two-tailed test is approximately 1.99.

The standard error can be calculated using the formula:

\[ \text{Standard Error} = \sqrt{\frac{\text{Sample Proportion} \times (1 - \text{Sample Proportion})}{\text{Sample Size}}} \]

Plugging in the values:

Sample Proportion (\( p \)): 0.88

Sample Size (\( n \)): 53

Confidence Level: 0.94

Critical Value (\( z \)): 1.99

We can calculate the standard error:

\[ \text{Standard Error} = \sqrt{\frac{0.88 \times (1 - 0.88)}{53}} \]

Now, we can calculate the margin of error:

\[ \text{Margin of Error} = 1.99 \times \text{Standard Error} \]

Finally, we can calculate the confidence interval:

\[ \text{Confidence Interval} = 0.88 \pm \text{Margin of Error} \]

Calculating the values:

Standard Error ≈ 0.041

Margin of Error ≈ 0.082

Confidence Interval ≈ (0.798, 0.962)

Therefore, the confidence interval for the given numbers, with a sample proportion of 0.88 and a confidence level of 0.94, is approximately (0.798, 0.962) when rounded to two decimal places.

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The best estimate for the food budget will be the percentage of the food budget multiplied by $3050.

This is an incomplete question, therefore, an overview of the question will be given. Since you didn't provide the percentage of the food budget, let's assume that the percentage is given as 20%. Therefore, the food budget will be;

= 20% × $3050

= 0.2 × $3050

= $610

The food budget will be $610.

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The answer is (001). This is because B (001) has h and k as non-zero integers, which does not match the criteria for the {100} family.

The question is asking which of the planes (A), (B), (C), and (D) is not part of the {100} family for a tetragonal crystal.A tetragonal crystal is a three-dimensional structure made up of four faces that intersect at right angles, forming a unit cell. Each face of the unit cell is defined by a Miller index. A Miller index is a set of three integers written in the form {hkl}, which describes the orientation of the face relative to the crystal lattice. In a tetragonal crystal, the {100} family is the set of faces described by {hkl} such that h = k = 0 and l ≠ 0.

Therefore, A (010), C (110), and E (all of these planes are in the {100} family) are all part of the {100} family for a tetragonal crystal, while B (001) is not.  because B (001) has h and k as non-zero integers, which does not match the criteria for the {100} family. In conclusion, the correct answer to the question is B (001).

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The correct solution to this problem is option e. 1/e. We can find it in the following manner.

The time constant of an RC circuit is the time in which the current decreases to 1/e (approximately 0.368) of its initial value.

This can be derived from the equation for the current in an RC circuit:

\(I=10 * e^({-t/RC} )\)

where I is current at time t, I0 is the initial current, R is the resistance, C is the capacitance, and e is the mathematical constant approximately equal to 2.71828.

To find the time constant, we set the exponent to -1:

\(e^({-t/RC} ) = 1 /e\)

Solving for t/RC, we get:

t/RC = 1

Therefore, the time constant is equal to RC, and the current decreases to 1/e of its initial value in one time constant.

So the answer is e. 1/e.

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The Graph of quadratic functions gives parabolas that are U-shaped, and wide or narrow depending upon the coefficients of the function.

The graph of quadratic functions is a technique to study the nature of the quadratic functions graphically. The shape of the parabola is determined by the coefficient 'a' of the quadratic function f(x) = ax2 + bx + c, where a, b, c are real numbers and a ≠ 0.

the vertex of a quadratic function is. \(f(x)=a(x-h)^2+k, where (h,k)\) is the vertex of parabola. When a>0 then function will be open upward if a<0 then function will be opens downward.

Steps to plot graph of quadratic function.

a\(x^2\) is imply a vertical scaling of the parabola, if a<0 the parabola will also flip its mouth from the positive to negative side.

\(a(x+\frac{b}{2a} )^2\) This is a horizontal shift of magnitude |\(\frac{b}{2a}\)| units. The direction of the shift will be decided by the sign of b/2a. The new vertex of the parabola will be at (-b/2a,0).

This transformation is a vertical shift of magnitude |\(\frac{D}{4a}\)| units. The direction of the shift will be decided by the sign of \(\frac{D}{4a}\). The final vertex of the parabola will be at (\(\frac{-b}{2a} ,\frac{-D}{4a}\)).

So, The Graph of quadratic functions gives parabolas that are U-shaped, and wide or narrow depending upon the coefficients of the function.

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Answer:

\(\huge\boxed{\sf Height = 10\ cm}\)

Step-by-step explanation:

Altitude = Height = AD = ?

Base = 8 cm

Area = 40 cm²

\(\rule[225]{225}{2}\)

Area = 1/2 (Base * Height)

40 = 1/2 ( 8 * Height)

40 = 4 * Height

Dividing both sides by 4

40 / 4 = Height

Height = 10 cm

\(\rule[225]{225}{2}\)

Hope this helped!

Answer:

Let x be AD.

(8x)/2 = 40

8x = 80

x = 10

AD is 10cm.

Answer:

tbh i think u just add 1/4+2/3 so yw

Step-by-step explanation:

hope it helped

The complete square of the given numbers are-

Part a: 6(x + 1/4)^2 + 69/8

Part b: (x + 5/2)^2 + 27/2

Part c: -(x + 3)^2 + 18

For the given question

Part a: 6x^2+3x+9

Tale 6 commom;

6(x^2 + x/2 + 3/2)

Add and subtract 1/16 to the equation;

6(x^2 + x/2 + 1/16 - 1/16 + 3/2)

6((x^2 + x/2 + 1/16) - 1/16 + 3/2)

6((x + 1/4)^2 + 23/16)

6(x + 1/4)^2 + 69/8

Part b: x^2+5x+26

Add and subtract 25/4 to the equation;

x^2 + 5x + 25/4 - 25/4 + 26

(x^2 + 5x + 25/4) - 25/4 + 26

(x + 5/2)^2 + 27/2

Part c: -x^2+6x+9

Taking - 1 common.

-(x^2 - 6x - 9)

Add and subtract 9 in the equation;

-(x^2 - 6x + 9 ) - 9  - 9)

-((x^2 - 6x + 9 ) - 9  - 9)

-((x + 3)^2 -18)

-(x + 3)^2 + 18

Thus, the complete square of the umber are found.

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Answer: 123

Step-by-step explanation:

what you mean bae

Answer: is there supposed to be a picture for it?

The measure of ∠GXI is equal to 60°.

The radian is the unit of angle in the International System of Units and is the standard unit of angular measure used in many areas of mathematics

Given is the figure as shown.

We can write the measure of angle subtended by a single arc as -

α = 360°/12

α = 30°                                                                   ... Eq{ 1 }

So, the measure of ∠GXI = 2α = 2 x 30° = 60°

∠GXI = 60°

Therefore, the measure of ∠GXI is equal to 60°.

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Answer:

x=1990

Step-by-step explanation:

x+10=2000

x=2000-10

x=1990

Answer:

therefore x = 1990

Step-by-step explanation:

x+10 = 2000

= x = 2000-10

= x = 1990

Answer:

\( \boxed{ \bold{\frac{4}{3} }}\)

Step-by-step explanation:

\( \frac{ {4}^{ - 3} \: \times \: {3}^{4} \: \times \: {4}^{2} }{ {3}^{5} \: \times \: {4}^{ - 2} } \)

\( \frac{ {4}^{ - 3} \: \times \: {4}^{4} }{3} \)

\( \boxed{ \bold{\frac{4}{3} }}\)

Math is considered to have a sequential learning pattern because concepts and skills are introduced in a specific order, building upon previously learned material.

In math, concepts and skills are typically organized in a sequential manner, where each new topic builds upon what has been previously learned. This sequential learning pattern allows students to develop a solid foundation and gradually progress to more advanced topics.

For example, in elementary school, students first learn basic arithmetic operations like addition and subtraction before moving on to multiplication and division. These foundational skills are essential for understanding more complex mathematical concepts later on, such as algebra, geometry, and calculus. By following a sequential learning pattern, students can gradually develop their mathematical understanding and problem-solving abilities. They are able to connect new concepts to what they have already learned, reinforcing their knowledge and enabling them to apply it in different contexts. This sequential approach also ensures that students have the necessary prerequisite knowledge and skills to comprehend more advanced mathematical concepts. It helps create a logical progression in mathematical education, allowing students to build upon their previous knowledge and continually expand their mathematical abilities.

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Answer:

Linear function

Step-by-step explanation: For each day, you spend $7. This situation models a linear function.

Answer:

4.75

Step-by-step explanation:

Answer:

$7

Step-by-step explanation:

Got it right on a test

After considering the given data we conclude that there truth table is possible and is placed in the given figures concerning every sub question.

A truth table is a overview that projects  the truth-value of one or more compound propositions for each possible combination of truth-values of the propositions starting up the compound ones.
Every row of the table represents a possible combination of truth-values for the component propositions of the compound, and the count of rows is described by the range of possible combinations.
For instance, if the compound has just two component propositions, it comprises  four possibilities and then four rows to the table. The truth-value of the compound is projected on each row comprising the truth functional operator.
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Answer:

102.4 square feet

Step-by-step explanation:

1. divide 32 by 5 to find how much square feet one bag of mulch covers

2. multiply that number (6.4) by 16 to find how many square feet 16 bags of mulch would cover

Answer:102.4 ft

Step-by-step explanation: do the math 32/5 = 6.4 6.4x16=102.4 ft

Answer:

B.

y = -2x + 12

Step-by-step explanation:

The solution is Option B.

The equation of line is y = -2x + 12 where the slope of the line m = -2

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the point be P = P ( 5 , 2 )

y = -2x + 8   be equation (1)

The equation (1) is parallel to the line passing through the point P ( 5 , 2 )

So , the slope of the line will be equal

Slope m = -2

Now , the equation of line is given by y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 2 = -2 ( x - 5 )

On simplifying the equation , we get

y - 2 = -2x + 10

Adding 2 on both sides of the equation , we get

y = -2x + 12

Hence , the equation of line is -2x + 12

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Answer:

Step-by-step explanation:

(4+7)(3)/2=16.5

Answer:

Element  Frequency Cumulative Frequency

15                   3              3

16                   6              9

17                   1              10

18                   6             16

20                   6            22

24                   5            27

25                   6            33

27                   2            35

28                   4            39

30                   1             40

Step-by-step explanation:

Find out how many times an element(data value) appears. That will be the frequency(column 2). The cumulative frequency is the total of all frequencies prior to that element plus the current element frequency

Cumulative frequency for first element is same as its frequency

Cumulative frequency for element 16 is 3 + 6 = 9

Cumulative frequency for element 17 = 3 + 6 + 1 = 9 + 1=10. Basically it is the sum of the previous element cumulative frequency + the current frequency

Answer:

1. 495

2. 367

3. 1835

4. 1887

5. 2627

6. 1890

7. 1929

Step-by-step explanation:

1.

Smallest number in the N column: 33

Largest number in the B column: 15

33 * 15 = 495

2.

Sum of numbers in the I column:

27 + 23 + 19 + 30 + 29 = 128

495 - 128 = 367

3.

Highest number in the O column: 72

Lowest number in the O column: 67

72 - 67 = 5

367 * 5 = 1835

4.

Average of the numbers in the G column:

(50 + 51 + 54 + 52 + 53)/5 = 52

1835 + 52 = 1887

5.

Reversed digits in answer: 1887 -> 7881

First number in B column: 11

Second number in B column: 8

11 - 8 = 3

7881/3 = 2627

6.

Sums of the numbers in I, G, and O columns:

27 + 23 + 19 + 30 + 29 + 50 + 51 + 54 + 52 + 53 + 72 + 70 + 67 + 71 + 69

= 737

2627 - 737 = 1890

7.

First number in column G: 50

First number in column B: 11

1890 + 50 = 1940

1940 - 11 = 1929

16 is a perfect square

16 = 2 × 2 × 2 × 2

16 = (2 × 2) × (2 × 2)

16 = 4 × 4

Perfect squares numbers whose squares are whole numbers. Square root of 16 gives 4.

Hence, 16 is a perfect square