Can you make a triangle with side lengths 3,7,12

The equivalent expression for 1.5 cubed over 1.3 raised to the fourth power all raised to the power of negative six is 1.5 to the eighteenth power over 1.3 to the twenty-fourth power.

Here are the steps to simplify the expression:

Apply the negative power rule: (1.5 cubed over 1.3 raised to the fourth power) raised to the power of negative six is equal to (1.3 raised to the fourth power over 1.5 cubed) raised to the power of six.

Apply the power of a quotient rule: (1.3 raised to the fourth power over 1.5 cubed) raised to the power of six is equal to (1.3 raised to the fourth power)⁶ / (1.5 cubed)⁶.

Apply the power of a power rule: (1.3 raised to the fourth power)⁶ is equal to 1.3(⁴*⁶) = 1.3²⁴.

Apply the power of a power rule: (1.5 cubed)⁶ is equal to 1.5(³*⁶) = 1.5¹⁸.

Therefore, the equivalent expression is 1.5¹⁸ / 1.3²⁴.

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\( \large \text{Hello keep learning!}\)

As we know that one million is 1,000,000.

So we can write it as:-

➢ 1×10⁶

Answer:

1 * 10^6

Step-by-step explanation:

I hope this helps!

There are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

The multiplication principle states that if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks together.

To find the number of ways to choose 3 men from the 12 men, we can use the formula for combination, which is: ⁿCᵣ = n! / (r! (n-r)!).

where n is the total number of men and r is the number of men chosen

so, the number of ways to choose 3 men from the 12 men = ¹²C₃ = 1.

Similarly, we evaluate the number of ways to choose 2 women from the 8 women

as = ⁸C₂ = 14

Now, using the multiplication principle, we can find the total number of ways 3 men and 2 women be chosen if they are equally considered.

220 x 14 = 3080

Therefore, there are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

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The expression to find out the total length of its beak and tongue that sticks out is b+t.

When Rufous-tailed hummingbird’s beak is 20 millimeters long and its tongue sticks out 8 millimeters, the length is 28 millimeters.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

From the information illustrated, Guevara’s feeders take pictures of the birds’ tongues sticking out as they sip nectar.

A hummingbird’s beak is b millimeters long and its tongue sticks out t millimeters past its beak.

The expression to find out the total length will be:

= Length of beak + Length of tongue

= b + t

The length when the hummingbird’s beak is 20 millimeters long and its tongue sticks out 8 millimeters is:

= 20 + 8

= 28 millimeters

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The correct answer of this expression is (b) g>-6.

A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression. Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

a formula expression with the first part signifying a mathematical item and the second part signifying a statement about mathematical objects

given that;

-3 (g + 5) > 3

divide both side by -3, we get

⇒ g + 5 > 3/-3

⇒ g + 5 > -1

subtract both side by 5

⇒ g > -1 -5

⇒ g > -6

so the correct answer is g > -6

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Answer:

50%

Step-by-step explanation:

You take the 1500 shots and take away the 300 and 450 you get 750 you divide 750 from 1500 then you get 0.5 and you multiply it with 100 and you get the answer 50.

Out of 1500 flu injections the share of flu vaccines which has been given is 94.33%.

A percentage is that the number or ratio expressed as a fraction of 100. it's denoted by the expression %. it's calculated by the subsequent formula:

Percentage=Number/total*100

It is provided that out of 1500 flu vaccines , 300 got in September, 450 got in October and 665 got in November.

Total vaccines given= 300+450+665

=1415

Percentage=1415/1500*100

=0.9433*100

=94.33%

Hence the proportion of flue vaccine that has been given is 94.33%.

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In order for the system of equations to be a consistent system, the value of k must be equal to -4.

To determine the value of k that makes the system of equations consistent, we can use the method of elimination or substitution. Let's use the method of elimination.

First, we can multiply the first equation by 5, the second equation by -1, and the third equation by 2 to make the coefficients of x in the three equations cancel each other out when added together.

The modified system of equations becomes:

5x - 10y + 20z = 20

5x - 9y + 22z = 16

-4x + 6y - 20z = 2k

Now, let's subtract the first equation from the second equation:

(5x - 9y + 22z) - (5x - 10y + 20z) = 16 - 20

y + 2z = -4

Next, let's add this equation to the third equation:

(-4x + 6y - 20z) + (y + 2z) = 2k - 4

-4x + 7y - 18z = 2k - 4

For the system of equations to be consistent, there must be no contradictions or inconsistencies. This means that the equations must be linearly dependent, and the last equation must be a multiple of the second equation.

Comparing the last equation (-4x + 7y - 18z = 2k - 4) with the second equation (y + 2z = -4), we can see that the two equations will be dependent and consistent if 2k - 4 is equal to 0.

2k - 4 = 0

2k = 4

k = 2

Therefore, in order for the system of equations to be a consistent system, the value of k must be equal to -4.

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Answer:

the anwser is a i think im helping you out dont repoty

The standard form is 4x- y= 3.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

y-1=4(x-1)

Now, writing the above equation in standard form

y- 1 = 4x -4

y = 4x - 4 +1

y= 4x - 3

4x - y = 3

Hence, the standard form is 4x- y= 3.

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A) The compound event will have a sample size of 25.

B) The new sample size will be 36.

Any event with many sample points is referred to as a compound event. Compound events are more complex than simple events. These incidents carry the risk of additional occurrences. The probability of every potential result of a compound event is one.

A compound event is one that comprises two or more simple occurrences. In contrast to complex events, which can have a range of diverse results, simple events can only have one outcome.

Given,

Number of buttons in a container = 5

Lucas picks one button, replaces it and then picks another.

A sample size of the compound event

n = 55

n  = 25

Now, one more button is added to the container and in total there are 6 buttons. Lucas repeats the same process again and hence,

A sample size of the new compound event will be,

n = 66

n = 36

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The complete question is given below.

Lucas has five buttons in a container. Each button is a different shape. There is a star, an oval, a hexagon, a circle, and a heart. He picks one button, replaces it, and then picks another button. The sample size for this compound event is  ___  Suppose one square-shaped button is added to the container. If Lucas repeats the same picking process, then the sample size would be ____

(a) When rounding 20 to the nearest integer in the range of 40, the result is 20.

(b) When rounding 15 to the nearest integer in the range of 45, the result is 20.

(c) The symbol "%" does not provide any specific value or context for rounding, so it is not possible to determine the rounded value.

(d) When rounding 18 to the nearest integer in the range of 42, the result is 20.

(e) When rounding 13 to the nearest integer in the range of 47, the result is 10.

(a) To round 20 to 40 to the nearest integer, we look at the digit in the tens place, which is 0. Since it is less than 5, we keep the tens digit as it is, resulting in 20.

(b) To round 15 to 45 to the nearest integer, again, we examine the digit in the tens place, which is 5. When the digit in the ones place is 5 or greater, we round up the tens digit. Thus, the rounded value is 20.

(c) The given statement "%" does not provide any specific value or context for rounding, so it is not possible to determine the rounded value.

(d) Rounding 18 to 42 to the nearest integer, we consider the tens digit, which is 2. Since it is less than 5, we keep the tens digit as it is, resulting in 20.

(e) Rounding 13 to 47 to the nearest integer, the tens digit is 4. Since the digit in the ones place is 5 or greater, we round up the tens digit. Hence, the rounded value is 50.

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Answer:

the mystery is the number 5

The probability distribution of a random variable X satisfies these properties are the probabilities are between 0 and 1, the expected value is 1, and the sum of all probabilities is 1.

1. For each x, 0 ≤ P(x) ≤ 1: This statement indicates that the probability of any particular value of X falls between 0 and 1. Probabilities cannot be negative, and they cannot exceed 1, as they represent the likelihood of an event occurring.

2. The sum of all x*P(x) is 1: This statement implies that the expected value or mean of the random variable X is 1. The product of each value of X with its corresponding probability is summed up, and the result should equal 1. This ensures that the probabilities are weighted appropriately to reflect the overall expected value.

3. The sum of all P(x) is 1: This statement refers to the fact that the sum of all individual probabilities, regardless of the specific values of X, must add up to 1. This ensures that the entire probability space is accounted for and that the probabilities cover all possible outcomes.

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Yes, the 5x5 matrix is diagonalizable because it has two eigenvalues with eigenspaces of dimensions 3 and 2.

A matrix is diagonalizable if and only if the sum of the dimensions of its eigenspaces equals its size (the number of rows or columns).

a matrix is a rectangular array of numbers or symbols arranged in rows and columns. Each element in the matrix is

identified by its row and column index. Matrices are commonly used in linear algebra, where they are used to

represent linear transformations and systems of linear equations.

In this case, the three-dimensional eigenspace and the two-dimensional eigenspace have a combined dimension of 5, which is the size of the matrix.

Therefore, the 5x5 matrix is diagonalizable.

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Question

A is a 5 x 5 matrix with two eigenvalues. One eigenspace is three-dimensional, and the other eigenspace is two-dimensional. Is A diagonalizable?

Answer:

372

Step-by-step explanation:

Since we know the total weight which is 714 and we know the weight of one garden which is 342, all we need to do now is subtract:

714 - 342 = 372

Answer:

Step-by-step explanation:

Given the expression -2y-8+4y, we are to find the equivalent expressed is which other expression is similar to it. This can be expressed as shown below;

Step 1: Collect the like terms of the expression

= -2y-8+4y

= (-2y+4y)-8

Step 2: Sum up the terms in parenthesis:

=  (-2y+4y)-8

= 2y-8

Step 3: factor out the common terms

= 2y-8

= 2(y-4)

Hence the equivalent expression is 2(y-4).

Answer:

A and B

Step-by-step explanation:

On Khan Academy its right.

Answer: 972

Step-by-step explanation:

You just have to multiply those 2 numbers and what it gives you is your result. Hope that helps.

Answer:

\(3x^4+12-15\)

Step-by-step explanation:

You can use the distributive property,

\((x^2-4x+3)(3x^2-3x-5\))

You distribute everything in the first set of parentheses, into the second set of parentheses.

getting  the above answer.

Answer:

315 Children

Step-by-step explanation:

a+c=330

21a=c

Substitute the c's

a+(21a)=330

22a=330

Divide by 22 on each side

a=15

15 Adults

Now put "a" back into one of the equations.

21(15)=c

315=c

So 315 children and 15 adults.

Answer:

m∠1 = 50°

m∠2 = 130°

Step-by-step explanation:

There is a formula:

\(\text{angle} = \frac{1}{2} (\text{intercepted arc}_1 + \text{intercepted arc}_2)\)

\(\text{m} \angle 1 = \frac{1}{2} (53^\circ + 47^\circ)\)

\(\text{m} \angle 1 = \frac{1}{2} (100^\circ)\)

\(\text{m} \angle 1 = 50^\circ\)

Angle 1 and angle 2 together form a straight angle, which measures 180°. Angle 1 and angle 2 are suplementary angles.

\(\text{m} \angle 1 + \text{m} \angle 2 = 180^\circ\)

\(50^\circ + \text{m} \angle 2 = 180^\circ\)

\(\text{m} \angle 2 = 180^\circ - 50^\circ\)

\(\text{m} \angle 2 = 130^\circ\)

Answer:

1 hour and 40 minutes

Step-by-step explanation:

60/24 = 2.5

40 x 2.5 = 100 minutes

100 minutes =  1 hour and 40 minutes.

After using the linear regression we would have the value for a and b. a and b represent the slope (a) of a line and the y-intercept (b).

To find the values of the equation we must round the results of the linear regression to the nearest integer

a would be equal to -2 as the number -1.96341463 is nearer to -2 than -1.

b would be equal to 19 as the number 19.09756098 is nearer to 19 than 20.

The final equation would be:

y= -2x + 19

You can use calculus to find the maximum value of a parabola by these steps which are given in the solution part.

A parabola is a U-shaped curve this is drawn for a quadratic function,

To find the maximum value of a parabola using calculus, you can follow these steps:

1. Identify the equation of the parabola in the form "y = ax² + bx + c," where "a," "b," and "c" are constants.

2. Take the derivative of the equation with respect to x.

3. Set the derivative equal to 0 and solve for x. This will give you the value of x at the vertex of the parabola.

Substitute the value of x that you found in step 3 back into the original equation to find the corresponding y-value. This y-value is the maximum or minimum value of the parabola, depending on the value of a. If a is positive, the parabola opens upwards and the y-value is the maximum. If a is negative, the parabola opens downwards and the y-value is the minimum.

For example, suppose you want to find the maximum value of the parabola y = 2x² - 4x + 3. First, take the derivative of the equation: y' = 4x - 4. Set this equal to 0 and solve for x: 0 = 4x - 4, x = 1.

Substituting this value back into the original equation gives us y = 2(1)² - 4(1) + 3 = 2 - 4 + 3 = 1.

Therefore, the maximum value of the parabola is 1.

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Answer:

1.87

Step-by-step explanation:

Divide 187 by 100.

es 1 metro y 87 centimetroes

los metros se cuentan cada 100 centímetros

The 90% confidence interval for the mean noise level at these airport locations is approximately (148.1, 171.9).

Step 1 of 4:

To calculate the sample mean for the given sample data, we sum all the values and divide by the sample size.

Sample mean = (162 + 176 + 162 + 141 + 159) / 5 ≈ 160.0 (rounded to one decimal place)

Step 2 of 4:

To calculate the sample standard deviation, we need to find the differences between each data point and the sample mean, square those differences, sum them up, divide by the sample size minus 1, and then take the square root.

Deviation from mean: (162 - 160)^2, (176 - 160)^2, (162 - 160)^2, (141 - 160)^2, (159 - 160)^2

Sum of squared deviations = (2^2 + 16^2 + 2^2 + (-19)^2 + (-1)^2) = 590

Sample standard deviation = sqrt(590 / (5 - 1)) ≈ 9.6 (rounded to one decimal place)

Step 3 of 4:

To find the critical value for a 90% confidence interval, we need to look up the t-value in the t-distribution table with (n-1) degrees of freedom. Here, n is the sample size, which is 5.

Degrees of freedom = 5 - 1 = 4

Looking up the t-value for a 90% confidence level and 4 degrees of freedom, we find it to be approximately 2.776 (rounded to three decimal places).

Step 4 of 4:

To construct the 90% confidence interval, we use the formula:

Confidence interval = sample mean ± (critical value * (sample standard deviation / sqrt(sample size)))

Confidence interval = 160.0 ± (2.776 * (9.6 / sqrt(5)))

Calculating this expression will give us the lower and upper bounds of the confidence interval.

Confidence interval = 160.0 ± (2.776 * 4.297) ≈ 160.0 ± 11.9 (rounded to one decimal place)

Using the sample mean, standard deviation, and critical value, we constructed a 90% confidence interval for the mean noise level, which is approximately (148.1, 171.9) decibels. This confidence interval provides an estimate of the range within which the true mean noise level at these airports is likely to fall with 90% confidence.

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Answer:

20

Step-by-step explanation:

cause 2/3 * 6 is 4 then 4*5 is 20

Answer : true

Step-by-step explanation:

Sally's friends took 105 marbles

A word problem  is a math question written as one sentence or more that requires children to apply their math knowledge to a 'real-life' scenario. Solving word problem requires critical thinking.

Let x represents the total number of marble

Sue takes 1/3 of the marble = (1/3)x

remaining marble after sue = x-(1/3)x = (2/3)x

Bill takes 1/4 of the remainder =( 2/3)x × 1/4 =(1/6)x

the remaining marble after Bill is( ⅔-⅙)x = 5x/6

Brian takes 1/2 of the remainder 5x/6 ÷2 = 5x/12

The remainder after Brian = 5x/6-5x/12= 75

multiply through by 12

= 10x-5x = 900

5x = 900

divide both sides by 5

x = 900/5 = 180 marbles

This means the total marble is 180 after all Sally's friends have taken, 75 is left.

Therefore the number of marbles taken by Sally's friends is 180-75 = 105 marbles

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Answer:

Ok

Step-by-step explanation:

Answer:

yes

Step-by-step explanation: