-1/2 + 3/4 - 3/8 what is it?

Answer:

4957.56

Step-by-step explanation:

Call the 3 sides of the triangle as a,b,c.

We have : a + b + c = 321
Since it's an equilateral triangle, a=b=c
=> a = b = c = 321/3 = 107ft.

To calculate an area of an equilateral triangle, we can use the formula :

\(\sqrt{3}\\\)/4 x \(a^{2}\)

=> A = \(\sqrt{3}\\\)/4 x \(107^{2}\) = approx. 4957.56



Answer:

(x+5)⋅(x+4)= x2+9x+20

Step-by-step explanation:

(x+5)(x+4)

=x

2

+4x+5x+20=

=x

2

+9x+20

Step-by-step explanation:

(x+5)(x+4)

x(x+4)+5(x+4)

x(x+4)+5(x+4)

x2 +4x+5(x+4)

x2+4x+5(x+4)

x2+4x+5x+20

x2+4x+5x+20

x2+9x+20

solution

x2+9x+20

Answer:

Hello,

Step-by-step explanation:

A: roots are x=-1 and x=5 : x-intercepts are (-1,0) and (5,0) :TRUE

B: There are only 2 roots for quadratic function : FALSE

C: the function has a minimum for x=2 but the value of that minum is -9 : FALSE

D: (-oo,-9) :decrease ok, but (-x,oo) false: FALSE

E: TRUE (function is y=(x+1)(x-5)=x²-4x-5

F: minimum=-9 TRUE

G: TRUE (see graph jointed)

H: TRUE like F

I: FALSE

Answer:

22.25 inches

Step-by-step explanation:

Since in the question it is mentioned that the mitch wants to buy a poster and wants to put on a wall that is between his door of the bathroom and the closet door

Also the space between these two doors is 22.25 inches

So based on the above information, the width of the poster should be equivalent to the given space i.e. 22.25 inches and the same is to be considered

Answer:

Mitch wants to buy a poster to put on the wall between his bathroom door and closet door. There is exactly 22.25 inches of space between the doors. What could be the width of the poster? (The poster needs to fit on the wall, so it needs to be smaller or equal to the width between the doors

Step-by-step explanation:

The number of students is the cost of the trip the same at each museum is 25

When we write expressions for the total cost of each field visit and set them equal, we find the solution to be the ratio of the difference in fixed cost to the difference in variable cost.

 y = 75 +7x . . . . . cost for x students to visit the science center

 y = 50 +8x . . . . cost for x students to visit the natural history museum

Subtracting the first equation from the second, we get

 0 = -25 +x

 25 = x . . . . . add 25; the number of students such that costs are equal

The cost will be the same either place for 25 students.

Here, the fixed cost difference is 75-50=25, and the variable cost difference is 8-7=1. The ratio of these costs is

 $25/($1 /student) = 25 students.

This relationship only holds when the higher fixed cost is associated with the lower variable cost. Charges are such that one place caters to larger numbers of students (science center), and one prefers fewer students (natural history museum).

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Using mathematical expressions, for the cost of the trip to be the same at each museum, the number of students must be 5.

Mathematical expressions combine variables, constants or numbers, and mathematical operators., without the equation or inequality symbols.

                          Science Center   History Museum

Cost per student       $8                           $5

Fixed cost                  $5                         $20

Let the number of students = x

The total cost at the Science Center = 5 + 8x

The total cost at the History Museum = 20 + 5x

For the cost to be the same at either center:

5 + 8x = 20 + 5x

3x = 15

x = 5

Thus, when the number of students attending either museum is 5, the cost is the same.

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Answer:

(0,60)

Step-by-step explanation:

I hope I plugged in your equation the right way as you typed it, but this is where the line meets the y coordinate, (0,60)

Answer:

1 : 400

Step-by-step explanation:

\(\frac{3.5 x 10^{3} }{3.5 x 10^{3} } : \frac{1.4 x 10^{6 } }{3.5 x 10^{3} }\)

1 : .4 x \(10^{3}\)

1 : 4 x \(10^{2}\)

1 : 400

Answer:

coconut

Step-by-step explanation:

coconut is yumi

Answer:

It will take 22 hours

Step-by-step explanation:

10925 ÷ 500 = 21.9 = 22 hours

Given the function f(x) = cosh(x), we are to find the first four non-zero terms of the Maclaurin series for f(x), write the power series using summation notation and determine the interval of convergence of the series.

a) Find the first four non-zero terms of the Maclaurin series for f(x)The first four non-zero terms of the Maclaurin series for f(x) can be calculated as follows;

\(cosh(x) = 1 + x2/2! + x4/4! + x6/6! +...\)

For the first four non-zero terms,

let x = 0 and obtain;

\(cosh(0) = 1 + 0 + 0 + 0 +... = 1\)

Therefore, the first four non-zero terms are 1, x2/2!, x4/4!, and x6/6!.

b) Write the power series using summation notationWe can write the power series using summation notation as follows;

\(cosh(x) = ∑n=0∞ x2n/(2n)!c)\)

Determine the interval of convergence of the seriesThe interval of convergence of the series is (-∞, ∞).This is because the power series for cosh(x) converges for all x values, and since this series has an infinite radius of convergence, it will converge for all x-values.

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The likelihood of choosing a blue marble from the pack at first is 6/20, as there are 6 blue marbles out of a add up to 20 marbles. the probability that Emma chooses a blue marble taken after a white marble is 0.063 or around 6.3%.

After one marble has been drawn, there are 19 marbles cleared out within the sack, of which 4 are white. Hence, the likelihood of choosing a white marble after having chosen a blue marble is 4/19.

To discover the likelihood of both occasions happening together (choosing a blue marble to begin with and a white marble moment), we duplicate the probabilities of each occasion:

P(Blue at that point White) = P(Blue) × P(White after Blue)

= (6/20) × (4/19)

= 0.063

thus, the likelihood that Emma chooses a blue marble taken after by a white marble is 0.063 or around 6.3%.

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The final simplified expression is: -211/7i - 3/7

To simplify the given expression, let's work step by step:

(4 - i)(-3/7i) - 7i(8/2i)

First, let's simplify each multiplication:

(4 * -3/7i - i * -3/7i) - (7i * 8/2i)

Now, simplify further:

(-12/7i + 3/7i^2) - (56/2)

Remember that i^2 is equal to -1:

(-12/7i + 3/7(-1)) - (28)

Simplify the expression:

(-12/7i - 3/7) - 28

Combining like terms:

-12/7i - 3/7 - 28

Now, let's express the terms as a single fraction:

-12/7i - 3/7 - 196/7

Combine the numerators:

(-12 - 3 - 196)/7i - 3/7

Simplify further:

(-211)/7i - 3/7

The final simplified expression is:

-211/7i - 3/7

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Answer: in the beginning she has 1920 Gp.

Step-by-step explanation:

Assuming that a person is tested twice and that the results of the tests are independent from each other, the probability that the person has the disease after testing positive twice can be found using Bayes' theorem.

Bayes' theorem provides a way to update the probability of an event based on new evidence. In this case, the probability of having the disease given two positive test results can be calculated using the probability of testing positive given the disease and the probability of having the disease before the test.

The formula for Bayes' theorem is as follows: P(A|B) = P(B|A) * P(A) / P(B), where P(A|B) is the probability of event A given that event B has occurred, P(B|A) is the probability of event B given that event A has occurred, P(A) is the prior probability of event A, and P(B) is the marginal probability of event B. In this case, let event A be having the disease and event B be testing positive twice.

The probability of testing positive given the disease is the sensitivity of the test, and the prior probability of having the disease is the prevalence in the population. The marginal probability of testing positive twice can be found by multiplying the probability of testing positive once by itself.

To summarize, the probability that a person has the disease after testing positive twice can be calculated using Bayes' theorem. The probability of testing positive given the disease is the sensitivity of the test, and the prior probability of having the disease is the prevalence in the population. The marginal probability of testing positive twice can be found by multiplying the probability of testing positive once by itself.

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Answer:

12.7

Step-by-step explanation:

there are 4 sides to a square just divide 50.8 by 4 and you get 12.7 assuming all the sides are the same length

Question 3: True

Question 4: False

Question 5: True

If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c.

This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.

Question 3: If f'(c) < 0 then f(x) is decreasing and the graph of f(x) is concave down when x = c.

True

When the derivative of a function, f'(x), is negative at a point c, it indicates that the function is decreasing at that point. Additionally, if the second derivative, f''(x), exists and is negative at x = c, it implies that the graph of f(x) is concave down at that point.

Question 4: A local extreme point of a polynomial function f(x) can only occur when f'(x) = 0.

False

A local extreme point of a polynomial function can occur when f'(x) = 0, but it is not the only condition. A local extreme point can also occur when f'(x) does not exist (such as at a sharp corner or cusp) or when f'(x) is undefined. Therefore, f'(x) being equal to zero is not the sole requirement for a local extreme point to exist.

Question 5: If f'(x) > 0 when x < c and f'(x) < 0 when x > c, then f(x) has a maximum value when x = c.

True

If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c. This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.

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The correct option is a. True.

If we know the first and second terms of an arithmetic sequence, then we can find any other term. is a true statement.

An arithmetic sequence would be the sequence in which the common difference between any two succeeding terms remains constant. Let us review what a sequence is.

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we have to add 7775000 to make 7800000 from 25000 which is calculated by using Substraction method.

Subtraction in mathematics is the process of subtracting one integer from another. In other terms, the result of subtracting two from five is three. After addition, subtraction is usually the second process you learn in math class.Subtraction is the action or procedure of determining the difference between two quantities or figures. The phrase "taking away one number from another" is also used to describe the process of subtracting one number from another.

Distance to be covered altogether= 7800000 m
THE distance has covered= 25000 m.

We can calculate the thousands needs to be added in 25000 to make it 7800000 by using Substraction method:-

7800000-25000= 7775000m

hence, to make 7800000 from 25000 we have to add 7775000.

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Answer:

cos A = 4/5

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adjacent side/ hypotenuse

cos A = 4/5

Answer:

The first thing that we have to do is add 33 to both sides to try to reduce the amount of variables on the left hand side.

\(\frac{x}{6} - 33 = -27\)

\(\frac{x}{6} - 33 + 33 = -27 + 33\)

\(\frac{x}{6} = 6\)

Now that we have simplified the left hand side even more we only have one part left to get x by itself which is to multiply both sides by 6.

\(\frac{x}{6} = 6\)

\(\frac{x}{6} * 6 = 6 * 6\)

\(x = 36\)

Therefore, our final answer for what the value of x equals is 36.

Hope this helps!  Let me know if you have any questions

Answer:

The distance between I and T is 1.5

Step-by-step explanation:

Identify each spots value: each spot is worth 0.5

Identify how many spots are in between your points: there are 3

multiply the value and amount: 0.5 × 3 = 1.5

Answer:

\(\displaystyle 1\frac{1}{2}\)

Step-by-step explanation:

Each mark represents \(\displaystyle \frac{1}{2},\)therefore you have this:

\(\displaystyle -3\frac{1}{2} + 5 \Rightarrow -3\frac{1}{2} + 4\frac{2}{2} \\ \\ \boxed{1\frac{1}{2}}\)

I am joyous to assist you at any time.

Using the box-whisker plot approach, it is computed that 50% of the data values are more than 45.

In a box-whisker plot, as seen in the illustration, The minimum, first quartile, median, third quartile, and maximum quartiles are shown by a rectangular box with two lines and a vertical mark. In descriptive statistics, it is employed.

Given the foregoing, the box-whisker plot depicts a specific collection of data. A vertical line next to the number 45 shows that it is the 50th percentile in this instance and that 45 is the median of the data.

It indicates that 50% of the values are higher than 45 and 50% of the values are higher than 45.

Using this technique, we can easily determine the proportion of data for which the value is higher or lower. Data analysis and result interpretation are aided by it. Therefore, 50% of values exceed 45.

Note: The correct question would be as

The box-and-whisker plot below represents some data sets. What percentage of the data values are greater than 45?

0

H

10

20

30 40

50 60

70 80 90 100

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We have: P(brown then yellow) = 2/11 and P(green then green) = 2/132.

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

let's calculate the probability of selecting a brown marble followed by a yellow marble without replacement:

P(brown then yellow) = (4/12) * (6/11) = 24/132 = 2/11

We multiply 4/12 (the probability of selecting a brown marble on the first draw) by 6/11 (the probability of selecting a yellow marble on the second draw, after one brown marble has already been removed). Note that we divide by 11 on the second draw, as there are now only 11 marbles left in the bag.

Now let's calculate the probability of selecting two green marbles without replacement:

P(green then green) = (2/12) * (1/11) = 2/132

We multiply 2/12 (the probability of selecting a green marble on the first draw) by 1/11 (the probability of selecting another green marble on the second draw, after one green marble has already been removed). Again, note that we divide by 11 on the second draw, as there are now only 11 marbles left in the bag.

So, we have:

P(brown then yellow) = 2/11

P(green then green) = 2/132

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Answer:

1/5

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

1/5.

Step-by-step explanation:

Divide top and bottom of the fraction by 9.

Answer:

The answer is 41 degrees

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

9.6

Step-by-step explanation:

Hope this help : ) . Bye.