How can i calculate the high of a triangle of 14cm each side??

Answer: I think it’s d

Step-by-step explanation:

This statement is False as the probability of intersection of two events is always less than the probability of union.

This assertion is untrue. Contrary to popular belief, the likelihood of two occurrences coming together is always higher than or on pair with the likelihood of them colliding.

The chance of two events A and B occurring together can be calculated using the following formula to see why:

According to this equation, the probability of A and B joining together is equal to the total of their individual probabilities less the likelihood of their colliding.

When we rewrite this calculation and focus only on the likelihood of the intersection, we obtain:

Now it is clear that the probability of the intersection is determined by subtracting the probability of their union from the sum of the probabilities of A and B.

P(A) and P(B) are both less than or equal to P(A B), since probabilities can never be negative. P(A + B) is therefore less than or equal to twice P(A + B) when they are added together. Thus, it follows:

This indicates that, contrary to what the original statement implied, the probability of the intersection is not greater than or equal to the probability of the union.

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To complete Step 3, the expression that must fill in each blank space is "tan(A) - tan(B)".

In Step 1, the given expression is manipulated using trigonometric identities and simplified.

In Step 2, the product-to-sum identities for sine and cosine are applied to obtain the expression.

In Step 3, the expression is simplified further by substituting "tan(A) - tan(B)" for the blanks.

Step 4 is not shown in the given information, but it likely involves further manipulation or simplification of the expression to reach the desired result of "1 + (tan(A))(tan(B))".

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Answer:

1+1=2

2+2=4

3+3=6

Step-by-step explanation:

To solve these problems, one strategy you can use is counting on your fingers.

Hope this helps :)

Answer:

First statement: Angles 1 and 3 are vertical angles.

First reason: Definition of supplementary

Second Reason: Vertical angles are congruent

Third Reason: Vertical Angles Theorem

Step-by-step explanation:

Hope this helps: Angles that form an X- Type figure are congruent.

Answer:

Step-by-step explanation:

80 is the diameter to we need to divide it by 2 to find the radius

80/2= 40

A= 3.14* 40^2

A = 3.14 * 1600

A= 5024

Step-by-step explanation:

Answer:

f

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

\(2(x+8)-4x=10x+4\\=>2x+16-4x=10x+4\\\)

Shifting the variable terms on left side gives :-

\(2x-4x-10x=4-16\\=>-12x=-12\\=>x=\frac{-12}{-12}=1\)

The value of x  in the equation will be; x = 1

An equation is an expression that shows the relationship between two or more numbers and variables.

We are given that the equation 2(x+8)-4x=10x+4

Here, we need to solve for x as

2(x+8)-4x=10x+4

combine the like terms;

2x + 16 - 4x = 10x + 4

-2x -10x = 4 -16

-12x =-12

x = 1

Therefore, the solution will be as;

x = 1

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f′(x)=ex,g′(x)=cosx,h′(x)=2x, thus, the result is esinx2⋅cosx2⋅2x.

Using differentiated education in your classroom has a lot of advantages. With consideration for each student's unique needs, differentiation aims to maximize learning for all children. Following that thought, the following are some benefits of differentiation in the classroom:

It accommodates diversity. For instance, it's crucial that students with disabilities in your class feel included and supported on an equal basis with everyone else. This can entail modifying your classroom's design, giving them modified resources, and making sure everyone can participate in activities.

Students have more energy for learning. Every youngster is different, with their own passions and interests. Why not benefit from that? Additionally, differentiation.

According to our question-

Use the chain rule,

(f(g(x))′=f′(g(x))g′(x)

For three functions,

(f(g(h(x))))′=f′(g(h(x)))g′(h(x))h′(x)

Set f(x)=ex,g(x)=sinx,h(x)=x2

if this e is the well-known Euler' constant then lne=1 and you get

y′=2xcos(x2)esin(x2)

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.

The approximately 68% of daily phone calls in the mid-size company are expected to fall between 27 and 43.

According to the empirical rule, also known as the 68-95-99.7 rule, for a bell-shaped distribution, approximately 68% of the data falls within one standard deviation of the mean. In this case, the mean is 35 and the standard deviation is 8.

Therefore, the range between 27 (mean - one standard deviation) and 43 (mean + one standard deviation) represents the middle 68% of the distribution. This means that approximately 68% of daily phone calls in the company are expected to fall within this range.

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Answer:

Is Square Root of 25 Rational or Irrational?  

Step-by-step explanation:

A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.

The answer is:

Work/explanation:

What are rational numbers?

Rational numbers are integers and fractions.

Irrational numbers are numbers that cannot be expressed as fractions, such as π.

Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.

The balanced chemical equation for the given reaction is:Fe2O3 + 3CO → 2Fe + 3CO2The molar mass of Fe2O3 is 159.69 g/mol. Mass of Fe2O3 = 50.7 g Moles of Fe2O3 = 50.7 g / 159.69 g/mol = 0.3179 mol According to the balanced chemical equation, 1 mole of Fe2O3 reacts with 3 moles of CO.

Hence, the number of moles of CO used = 3 × 0.3179 mol = 0.9538 mol. The molar mass of CO is 28.01 g/mol. Mass of CO used = 0.9538 mol × 28.01 g/mol = 26.7 g Hence, the mass of CO2 formed will be equal to the mass of CO used, i.e., 26.7 g. The molar mass of Fe is 55.85 g/mol. Mass of Fe formed = 0.3179 mol × 2 × 55.85 g/mol = 35.27 g

The number of grams of Fe and the number of grams of CO2 formed when 50.7 g of Fe2O3 reacts with excess CO are 35.27 g and 26.7 g, respectively.

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The compound inequality for the given situation is $2.75x + $4.25y ≥ $65 and $2.75x + $4.25y ≤ $75, where x represents the number of daylight cameras and y represents the number of flash cameras.

To solve this compound inequality, we need to find the values of x and y that satisfy both conditions. The inequality $2.75x + $4.25y ≥ $65 represents the lower bound, ensuring that the total cost of the cameras is at least $65. The inequality $2.75x + $4.25y ≤ $75 represents the upper bound, making sure that the total cost does not exceed $75.

To list the solutions involving whole numbers of cameras, we need to consider integer values for x and y. We can start by finding the values of x and y that satisfy the lower bound inequality and then check if they also satisfy the upper bound inequality. By trying different combinations, we can determine the possible solutions that meet these criteria.

After solving the compound inequality, we find that the solutions involving whole numbers of cameras are as follows:

(x, y) = (10, 10), (11, 8), (12, 6), (13, 4), (14, 2), (15, 0), (16, 0), (17, 0), (18, 0), (19, 0), (20, 0).

These solutions represent the combinations of daylight and flash cameras that fulfill the requirements of buying exactly 20 cameras and spending between $65 and $75.

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Answer: It is m<BAE or measure of angle BAE

Step-by-step explanation:

1. Based by the m<CAE, 135 - 45 equals to 90, so that is not an obtuse angle, m<BAD is the same thing, so those 2 aren't it

2. m<CAD is 65, which is way too low for an obtuse angle, and m<DAE is way too small as well since it's angle is 25, making m<BAE a correct answer

The volume of the rectangular box is given by using the Lagrangian multiplier theorem is 172.435 cubic units.

It states that any local maxima or any local minima of the function are calculated under the equality constraints.

The equation of ellipsoid is given as,

\(\frac{x^2}{4} +\frac{y^2}{64} +\frac{z^2}{49} =1\)

Let the edges of the required rectangular box be x, y, and z.

Then, the volume of the box in the first quadrant is V = xyz

Then we have,

\(\phi(x,y,z) = \frac{x^2}{4} +\frac{y^2}{64} +\frac{z^2}{49} -1\)  

By the Lagrange multiplier,

\((V_x,V_y,V_z) = \lambda (\phi_x, \phi_y,\phi_z)\\\\(yz,xz,xy)=\lambda(\frac{2x}{4},\frac{2y}{64},\frac{2z}{49} )\\\\xyz = \lambda\frac{x^2}{2},xyz =\lambda\frac{y^2}{32} ,xyz=\lambda\frac{2z^2}{49} \\\\x^2 = 2k, y^2=32k,z^2=49k/2\)

Solving for k we have the value of k as k = 2/3.

Put k=2/3 in equation 2, we have

x² = 2*2/3 , y² = 32*2/3, z² = 49/2*2/3

x =±2/√3 , y= ±8/√3 , z = ±7/√3

Then the volume of the rectangular box will be

Volume  = \(\frac{2}{\sqrt{3} } \frac{8}{\sqrt{3} } \frac{7}{\sqrt{3} }\)

Volume  = 172.435 cubic units.

Therefore, the value of  volume of the rectangular box is  172.435 cubic units.

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Answer:

x-intercept(s): (2/3, 0)

y-intercept(s): (0, 2/7)

Step-by-step explanation:

I hope this helps!

The calculated value of the height of figure 1 is (d) 4 units

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

The figures

The figure 1 is similar to figure 2

So, we have

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

When evaluated, we have

4x = 2x + 2

So, we have

2x = 2

Evaluate

x = 1

This means that

Height = 4 * 1

Evaluate

Height = 4

Hence, the height of figure 1 is 4 units

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Answer:

Option B is the best way to write the underlined parts of sentences 2 and 3.

Sentence 2: They have a special finish that helps.

Sentence 3: The finish helps the swimmer glide through the water.

Option B provides a clear and concise way to connect the two sentences and convey the idea that the special finish of the swimsuits helps the swimmer glide through the water. It avoids any ambiguity or redundancy in the language.

As the number of degrees of freedom become large, the t distribution actually approaches the normal distribution, not

the binomial distribution. The correct answer is false.

The t distribution is used when the sample size is small and the population standard deviation is unknown, while the

binomial distribution is used for discrete data where there are only two possible outcomes.

The binomial distribution is a discrete probability distribution that models the number of successes in a fixed number of

independent trials with a constant probability of success, whereas the t distribution is a continuous probability

distribution that models the variability of sample means from a normal population.

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Answer:

2 Ounces.

Step-by-step explanation:

Each rocket must weigh 4 pounds or less.

Therefore: 4 Pounds =16 X 4=64 Ounces

Since Hectors rocket weighs 62 ounces and he cannot exceed 64 Ounces, the weight of the most paint he can use is:

64-62=2 Ounces.

He can use paint that weights at most 2 Ounces.

Answer:

Imao still mad

Step-by-step explanation:

a)The energy stored when the extension is 5 cm is given by A = 675 Joules

b) The extension when the energy is 36 Joules is x = ( 2/√3 ) cm

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.

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 data ,

Let the equation be represented as A

Now , the value of A is

The energy E stored in an elastic band varies as the square of the energy stored extension x

So , the equation is E = kx²

And , when x = 3 cm , E = 243 Joules

Substituting the values in the equation , we get

243 = k ( 3 )²

9k = 243

k = 27

a)

Now , when the extension x = 5 cm

The energy stored when the extension is E = kx²

On simplifying , we get

E = 27 ( 5 )²

E = 27 x 25

E = 675 Joules

b)

When the energy is E = 36 Joules

E = kx²

36 = 27 ( x )²

On simplifying , we get

x² = ( 36 / 27 )

Taking square roots on both sides , we get

x = ( 6/3√3 ) cm

x = ( 2/√3 ) cm

Hence , the equation is E = kx²

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Designing control charts involves two key issues: sample size and sampling frequency is a true statement.

Control Charts depict how the process [ data ] changes over time. It comprises a central line for average, lower line for the lower control limit and an upper line for upper control limit.

There are many types of control chart -X bar control chart.

Sample size can be defined as the number of measurement values  taken for a test feature .

Sampling frequency can be defined as the average number of samples obtained in one second.

Hence, designing control charts involves two key issues: sample size and sampling frequency is a true statement.

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Answer:

I answered this question before but I can't remember the answer, sorry.

Step-by-step explanation:

Mathematical statements known as expressions comprise at least two phrases with numbers, variables, or both, joined by an operator. Addition, subtraction, multiplication, and division are all possible mathematical operations.

we need to rearrange the tiles on the board. The given board sum is:4x + (-4) + (-2x) + 3To simplify this expression, we combine like terms, which are 4x and -2x. 4x - 2x is equal to 2x. Also, we combine -4 and 3 which gives us -1. Therefore, the simplified expression equivalent to 4x - 4 - 2x + 3 is:2x - 1.The expression 2x - 1 can be found on the interactive board by moving the tiles to rearrange them. The answer is option A: 2x - 1.

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Answer:

D.  (0,-8)

Step-by-step explanation:

Put the equation into slope/y-intercept format:

4x - 8y = 64

-8y = -4x + 64

y = (1/2)x - 8   [The y-intercept is -8; the value of y when x = 0]

D.  (0,-8)

Answer:

Step-by-step explanation:

37.70

Answer:

$32.50

tip:5.20

Answer: 37.70

Step-by-step explanation:

The expression when evaluated is 17

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

a = 2, b = 3, c = 4 and d = 12

Also, we have

20 - 2b/a

Substitute the known values in the above equation, so, we have the following representation

20 - 2b/a = 20 - 2 * 3/2

Evaluate

20 - 2b/a = 17

Hence, the solution is 17

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The solution of the given system of equations is x = -4, y = 5 and z = 2 is the answer.

The system of equations given below:x + 2y + 3z = 11;2x + 4y + 5z = 21;3x + 5y + 6z = 27.

Here, we will solve this system of equations using inverse of the matrix method as follows:

We can write the given system of equations in matrix form as AX = B where, A = [1 2 3; 2 4 5; 3 5 6], X = [x; y; z] and B = [11; 21; 27].

The inverse of matrix A is given by the formula: A-1 = (1/ det(A)) [d11 d12 d13; d21 d22 d23; d31 d32 d33]  where,

d11 = A22A33 – A23A32 = (4 × 6) – (5 × 5) = -1,

d12 = -(A21A33 – A23A31) = -[ (2 × 6) – (5 × 3)] = 3,

d13 = A21A32 – A22A31 = (2 × 5) – (4 × 3) = -2,

d21 = -(A12A33 – A13A32) = -[(2 × 6) – (5 × 3)] = 3,

d22 = A11A33 – A13A31 = (1 × 6) – (3 × 3) = 0,

d23 = -(A11A32 – A12A31) = -[(1 × 5) – (2 × 3)] = 1,

d31 = A12A23 – A13A22 = (2 × 5) – (3 × 4) = -2,

d32 = -(A11A23 – A13A21) = -[(1 × 5) – (3 × 3)] = 4,

d33 = A11A22 – A12A21 = (1 × 4) – (2 × 2) = 0.

We have A-1 = (-1/1) [0 3 -2; 3 0 1; -2 1 0] = [0 -3 2; -3 0 -1; 2 -1 0]

Now, X = A-1 B = [0 -3 2; -3 0 -1; 2 -1 0] [11; 21; 27] = [-4; 5; 2]

Therefore, the solution of the given system of equations is x = -4, y = 5 and z = 2.

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Answer:

approx 15.5 hours

Step-by-step explanation:

475/30 = 15.83 miles per hour

245 = 15.83·t

t = 245/15.83

t = 15.5 hours