Which operation should go in the blue spot to make this equation true?
24
-3/4 = -32
Оа
Multiplication
b
Division
Subtraction

Answer:

C. 3.25

Step-by-step explanation:

:)

Math.ceil(5.5) evaluates to A. 6. This is because the ceil() method in the Math object returns the smallest integer greater than or equal to the given number.

In this case, the given number is 5.5, and the smallest integer greater than or equal to it is 6. It's important to note that the returned value is an integer, not a float or a string; hence, the answer is 6 rather than 6.0 or 5.0. This method is proper when you must round up a number to the nearest integer.
Math.ceil(5.5) evaluates a value by rounding it up to the nearest integer. In this case, the function rounds the given value, 5.5, to the closest integer that is greater than or equal to it.
The available options are:
A. 6
B. 6.0
C. 5.0
Now, let's apply the Math.ceil() function:
Math.ceil(5.5) = 6
So, the correct answer is A. 6.

Visit here to learn more about Math object:

brainly.com/question/6214913

#SPJ11

The calculated value of the rocket's greatest height is 196 feet

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

height function,  h(t) =-16t² + 80t + 96

So, we have

h(t) =-16t² + 80t + 96

The maximum value of t is calculated as

t = -b/2a

So, we have

t = -80/(2 * -16)

Evaluate

t = 2.5

The rocket's greatest height is at t = 2.5

So, we have

h(2.5) =-16(2.5)² + 80(2.5) + 96

Evaluate

h(2.5) = 196

Hence, the rocket's greatest height is 196 feet

Read more about height funcion at

https://brainly.com/question/10837575

#SPJ1

Answer:

-30

Step-by-step explanation:

-5 times 7 is -35

-35 plus 10/2    10/2=5

-35+5=-30

Answer:

Hello! :) have a good day!

-5 x 7 + 10/2 = -30

Rachael is 5.5 feet tall on Earth.

Given that, Ann the astronaut is 5.2 feet tall on Earth. She lands on planet Z and is measured to be 88 foosi tall. Her partner Rachael is 92 foosi tall.

Solution: Let the height of Rachael on Earth be x feet. 1 foosi = x/88 feet 92 foosi = 92 × (x/88) = (23/22)x feet Also, Ann the astronaut is 5.2 feet tall on Earth. She lands on planet Z and is measured to be 88 foosi tall. 1 foosi = 5.2/88 feet92 foosi = 92 × (5.2/88) feet92 foosi = 5.5 feet Thus, Rachael is 5.5 feet tall on Earth.

know about more Equation here:

https://brainly.com/question/20613813

#SPJ11

Using the intermediate value theorem and Rolle's theorem, we showed that the function \(f(x) = ln(x^{2} ) - x + 2\) has exactly one zero on the interval [4,6], which is x = 2.

To show that the function \(f(x) = ln(x^{2} ) - x + 2\) has exactly one zero on the interval [4,6], we need to use the intermediate value theorem and Rolle's theorem.

First, we can find that the function is continuous and differentiable for x > 0. Taking the derivative of f(x), we get \(f'(x) = (2/x) - 1\). Setting f'(x) = 0, we get x = 2.

Now, let's evaluate f(4) and f(6). We have \(f(4) = ln(16) - 4 + 2 = ln(16) - 2\)and \(f(6) = ln(36) - 6 + 2 = ln(36) - 4\). Using a calculator, we find that f(4) < 0 and f(6) > 0.

By the intermediate value theorem, since f(x) is continuous on [4,6] and takes on values of opposite signs at the endpoints, there exists at least one zero of f(x) on the interval.

Finally, to show that there is only one zero, we use Rolle's theorem. Since f(x) is differentiable on (4,6) and has a zero on this interval, there must exist at least one point c in (4,6) such that f'(c) = 0.

From earlier, we know that f'(x) = (2/x) - 1, so we have \(f'(c) = (2/c) - 1 = 0\), which implies c = 2. Therefore, the only zero of f(x) on [4,6] is x = 2.

In summary, using the intermediate value theorem and Rolle's theorem, we showed that the function \(f(x) = ln(x^{2} ) - x + 2\) has exactly one zero on the interval [4,6], which is x = 2.

To know more about Rolle's theorem refer here:

https://brainly.com/question/31331894#

#SPJ11

Answer:

25%

is that what you were looking for?

Answer:

24. 7z^2(2z^3+1)

27. 7t (3t - 2)

30. 3a^2 (a^3-2a+4)

Step-by-step explanation:

You didnt specify what to do so i just assume this is a factorization question.

2,5,4,6,1,7,3 is the correct order to construct a square.

So looking at the 7 available steps, only the step "Construct horizontal PQ" is possible since that's just a matter of drawing a straight line and labeling the endpoints P and Q. In any case, here are the 7 steps in order. The number in parenthesis after the 1st number is the original scrambled order of that step.  

1. Construct horizontal PQ

2. Construct a circle with point P as the center and a circle with point Q as the center, each circle having a radius PQ

3. Label the point of intersection of the two circles above PQ, point R, and the point of intersection of the two circles below PQ, point S

4. Construct RS, the perpendicular bisector of PQ, intersecting PQ at point T

5. Construct a circle with point T as the center with a radius TQ

6. Label the point of intersection of circles T and RS closest to point R, point U, and the point of intersection of circles T and RS closest to point S, point V.

7. Construct PU, UQ, QV, and VP to complete square PUQV.

To know more about the construction of square:

https://brainly.com/question/8150473

#SPJ4

Answer:

3.7 degrees

Step-by-step explanation:

98.8-32 = 66.8

66.8/18 = 3.7 degrees

Answer:

x = (M-4t)/4

Step-by-step explanation:

First we expand the brackets:

4(x+t) =M

4x +4t = M

Subtract 4t from both sides:

4x +4t -4t = M -4t

Simplify:

4x = M -4t

Divide both sides by 4 :

4x÷4 = (M-4t)/4 = (M-4t)÷4

x = (M-4t)/4

Hope this helped and brainliest please.

Answer:

  72 ft

Step-by-step explanation:

The perimeter of the concrete walk is the sum of the lengths of its outside edges. Each of those is two border-widths longer than the parallel pool dimension.

__

The border width is ...

  (10 ft) + 2(3 ft) = 16 ft

The border length is ...

  (14 ft) + 2(3 ft) = 20 ft

The perimeter is the sum of the lengths of the four sides. It can be found using the formula ...

  P = 2(L +W)

  P = 2(20 ft + 16 ft) = 2(36 ft) = 72 ft

The perimeter of the concrete walk is 72 feet.

_____

Additional comment

The term "perimeter of the concrete walk" is actually somewhat ambiguous. It could refer to the total length of all of the edges of the concrete walk. If that is the case, then the 48 foot length of the inside edge must be added to the length of the outside edge for a total of 120 feet. That is, if one were to mark the edges of the walk with tape, for example, 120 feet of tape would be needed.

Answer:

/,

Step-by-step explanation:

(a) For all square matrices A, if I is an eigenvalue of A, then -I is also an eigenvalue of A.

(b) For all invertible square matrices A, if λ is an eigenvalue of A, then 1/λ is an eigenvalue of A^(-1).

To show this, let's assume that I is an eigenvalue of A. This means there exists a non-zero vector v such that Av = Iv. Since I is the identity matrix, Iv is equal to v itself. Therefore, Av = v.

Now, let's consider the matrix -A. Multiply -A with v, we get (-A)v = -Av = -v. This shows that -I is an eigenvalue of A because there exists a non-zero vector v such that (-A)v = -v.

Hence, for all square matrices A, if I is an eigenvalue of A, then -I is also an eigenvalue of A.

Let's assume A is an invertible square matrix and λ is an eigenvalue of A. This means there exists a non-zero vector v such that Av = λv.

Now, consider A^(-1)v. Multiply both sides of the equation Av = λv by A^(-1), we get A^(-1)(Av) = A^(-1)(λv). Simplifying, we have v = λA^(-1)v.

Divide both sides of the equation v = λA^(-1)v by λ, we get 1/λv = A^(-1)v.

This shows that 1/λ is an eigenvalue of A^(-1) because there exists a non-zero vector v such that A^(-1)v = 1/λv.

Therefore, for all invertible square matrices A, if λ is an eigenvalue of A, then 1/λ is an eigenvalue of A^(-1).


To learn more about eigenvalue click here: brainly.com/question/30463942

#SPJ11

Answer:

y = 2x -2

Step-by-step explanation:

This is only the answer if you need the slope-intercept form equation.

Answer:

C. Two smaller atoms come together to form a larger atom that is a different element.

Explanation:

Fusion is a reaction in which two nuclei combine to form a nucleus with the release of energy.

Answer:

D) a 13% decrease in value each year

Step-by-step explanation:

Perry used the formula V (t) = 24,450(1-0.13)^t to find the value of his car t years after he purchased it.

What does 0.13 represent?

The expression given above represents and expression of exponential decrease.

This is represented by the formula

y = a(1 - r)^t

Where

y = Value after time t

a = Initial value

r = Rate of decrease

t = Time

Comparing both expressions

y = a(1 - r)^t = V (t) = 24,450(1-0.13)^t

We can see that:

r = 0.13

This is the rate of decrease.

Converting to Percentage = 0.13 × 100

= 13%

Option D is the correct option.

Answer:

(x + 1)2 + (y – 1)2 = 16

Step-by-step explanation:

Just took the test.

Answer:

It is D.

Step-by-step explanation:

The value of expression is,

⇒ x ÷ 12

We have to given that;

The algebraic expression is,

⇒ x divided by 12

Hence, We can formulate;

The value of correct expression is,

⇒ x ÷ 12

⇒ x / 12

Thus, The value of expression is,

⇒ x ÷ 12

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Answer:

a > −6

Step-by-step explanation:

Step 1: Subtract a from both sides.

2a + 6 − a > a − a

a + 6 > 0

Step 2: Subtract 6 from both sides.

a + 6 − 6 > 0 − 6

a > −6

The answer to the correct number of significant figures is 42.21

When adding decimal numbers, the number of significance of the resulting value will be to the least decimal numbers in the given expression.

Given the sum of decimal shown

41.70 + 0.506 + 0.00223

Using the calculator to take the sum

41.70 + 0.506 + 0.00223 = 42.20823

Since the significance value in the expression is 4, hence we will round the result to 4sf to have 42.21

Learn more on addition of decimal here: https://brainly.com/question/19127052

#SPJ1

The values of the trigonometric functions ;

sin(theta) = √11/6

cos(theta) =  -5/6

tan(theta) = 5/√11

csc(theta) = 6/√11

sec(theta) = 6/5

Given cos (theta) = -5/6, and tan (theta) < 0, we can find sin(theta), cos(theta), tan(theta), csc(theta), and sec(theta).

First, we can use the fact that cot(theta) = cos(theta)/sin(theta) to find sin(theta) and cos(theta).

Next, we can use the fact that sin(theta) = cos(theta) to find the values of

Since cos (theta) = 15, we can write it as cos (theta) = adjacent/opposite, where adjacent = 15 and opposite = 1 (since cotangent is the reciprocal of tangent).

Using the Pythagorean theorem, we can find the hypotenuse:

adjacent= √(hypotenuse ² + opposite²) = √(6² - 5²) = √11

sin(theta) = √11/6

cos(theta) =  -5/6

tan(theta) = 5/√11

csc(theta) = 6/√11

sec(theta) = 6/5

Learn more about trigonometric functions here: brainly.com/question/6904750

#SPJ12

2.15 is  value of binomial distribution and 2.15 is value of standard deviation.

In statistics, what is a binomial distribution?

The possibility that a variable would take one of two independent values under a certain set of factors or assumptions is expressed by the statistical distribution known as the binomial distribution.

                                 As an illustration, there are only two conceivable results from tossing a coin: heads or tails, and there are only two outcomes from taking a test: success or failure. The term "binomial probability distribution" is sometimes used to describe this distribution.

Given that,

p = 0.2

q = 1 - p =1-0.2=0.8

n = 29

Using binomial distribution,

  Standard deviation = σ = √n * p * q

                                          = √29 * 0.2 * 0.8 = 2.15

Learn more about binomial distribution

brainly.com/question/31197941

#SPJ1

The complete question is -

Find the standard deviation, σ, for the binomial distribution which has the stated valuesof n and p. Round your answer to the nearest hundredth.

n = 29; p = 0.2

σ = 2.15

σ = 6.27

σ = -0.26

σ = 5.42

The percentage of the increase in the temperature of the mixture is 27.34%.

What is the percentage?

A percentage is a figure or ratio that may be stated as a fraction of 100 in mathematics. If we need to compute the percentage of a number, divide it by the entire and multiply by 100. As a result, the percentage denotes a part per hundred. Per 100 is what the term percent signifies. The sign "%" represents it.

Here are some percentage examples:

10% is 1/10 of a fraction.

20% is equal to a 1/5 portion.

25% is equal to 1/4 fractions.

Now,

As percentage increase = (final value-initial value) / initial value *100

Here initial temperature=12 1/4 F=49/4 F and

Final temperature = 15 3/5=78/5 F

then (final value-initial value) =78/5-49/4=15.6-12.25

=3.35

therefore, percentage increase=3.35/12.25*100

=0.2734*100

=27.34%

Hence,

           The percentage of the increase in the temperature of the mixture is 27.34%.

To know more about percentage visit the link

https://brainly.com/question/29306119?referrer=searchResults

#SPJ1

Answer:

y = -1/3

Step-by-step explanation:

The given statement " When the film is placed into the XCP (extension cone paralleling) holder with the smooth side of the film towards the throat, after processing, it will appear darker" is false because it will  lighter, not darker.

The smooth side of the film is the side that interacts with the X-ray radiation and receives the image, while the emulsion side contains the light-sensitive crystals that react to the radiation.

Placing the smooth side towards the throat ensures that the image is sharp and clear, as the X-ray beam travels through the teeth and soft tissues before reaching the film.

After processing, the exposed areas of the film turn dark, representing the captured X-ray image, while the unexposed areas remain light or clear.

Know more about  X-ray image   here:

https://brainly.com/question/29127698

#SPJ11

To find the probability that the average of 25 randomly selected claims exceeds 20,000, we need to first determine the mean and standard deviation of the sample distribution.

Given:
- Mean of the population (μ) = 19,400
- Standard deviation of the population (σ) = 5,000
- Sample size (n) = 25

Step 1: Calculate the mean of the sample distribution (μ_sample)
Since the sample mean is an unbiased estimator of the population mean, μ_sample = μ = 19,400.

Step 2: Calculate the standard deviation of the sample distribution (σ_sample)
σ_sample = σ / √n = 5,000 / √25 = 5,000 / 5 = 1,000

Now, we need to find the probability that the sample mean exceeds 20,000. We can do this using the Z-score formula:

Z = (X - μ_sample) / σ_sample

where X is the sample mean we want to find the probability for (20,000 in this case).

Step 3: Calculate the Z-score
Z = (20,000 - 19,400) / 1,000 = 600 / 1,000 = 0.6

Step 4: Find the probability
Now, we need to find the area to the right of the Z-score in the standard normal distribution table or use a calculator/software that provides the probability.

The area to the right of Z = 0.6 is approximately 0.2743. So, the probability that the average of 25 randomly selected claims exceeds 20,000 is approximately 0.2743 or 27.43%.

To know more about probability refer here:

https://brainly.in/question/34187875

#SPJ11

The events are independent.

The events of Britney choosing a colored token and Allie choosing a token are independent events.

The reason is that the outcome of Britney's choice does not affect or influence the outcome of Allie's choice. Each person's choice is made independently and without any knowledge of the other person's choice.

Know more about independent events here:

https://brainly.com/question/30905572

#SPJ11

Answer:

34/73

Step-by-step explanation:

37 + 34 + 2 = number of customers = 73

73 is our denominator.

34 is the number of people who used a credit card.

34 is our numerator.

Put the two together, and you get 73! Enjoy!