The formula v =sqrt 64h can be used to find the velocity, v, in feet per second, of an object that has fallen h feet. Find the velocity of an object that has fallen 75 feet. Round to the nearest tenth.,

The correct answer for this problem would be D. (4x^2 + 7)(x – 3) .

Hope this helps and clears up any confusion!

The number 8.42 x 10³ lies in between pairs of numbers 8400 and 8500.

Option D is correct.

The abbreviation PEMDAS is used to indicate the sequence of steps to be taken when resolving expressions with multiple operations.

PEMDAS stands for P- Parentheses, E- Exponents, M- Multiplication, D- Division, A- Addition, and S- Subtraction.

We have the number 8.42 x 10³.

Now, expanding the exponents we get

= 8.42 x 10³

= 8.42 x 1000

= 84.2 x 100

= 842 x 10

= 8420

Thus, the values lie between 8400 and 8500.

Learn more about PEDMAS here:

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Answer:

The correct option is 4.

Step-by-step explanation:

Given information: K is the center of the circle. AB is the diameter of the circle.

Angle subtended by a diameter is always a right angle. It the means the measure of that angel is 90 degree.

[tex]\angle C=90^{\circ}[/tex]

According to the angle sum property, the sum of interior angles of a triangle is 180 degree.

Using angle sum property in triangle ABC, we get

[tex]\angle A+\angle B+\angle C=180^{\circ}[/tex]

[tex]75^{\circ}+x+90^{\circ}=180^{\circ}[/tex]

[tex]x=15^{\circ}[/tex]

Therefore the measure of x is 15 degree. Option 4 is correct.

Final answer:

By substituting the point (-1, 0) into the inequalities, we find that c must be greater than 1, and d must be less than 1, which means the correct answer is D. d < c.

Explanation:

We are given a point (-1, 0) which is a solution to both inequalities y < x + c and y < -x - d. To find the relationship between c and d, let's plug in the x and y values of the point into each inequality.

For y < x + c, with x = -1 and y = 0, we get:

0 < -1 + c

c > 1. (1)

For y < -x - d, with x = -1 and y = 0, we get:

0 < 1 - d

d < 1. (2)

Comparing (1) and (2), we see that c must be greater than 1 and d must be less than 1. Thus, the correct answer is D. d < c.

Answer:

1. B) logb(q^2t^8)

2. D) None of these (it is actually log (x^4/(x+2)^6) :D)

3. B) log5(7)+5log5(a)

4. C) 6.209

5. A) 81 decibels

Step-by-step explanation:

trust me bro

Answer:

Step-by-step explanation:

The function graph is symmetric about

- the y-axis when it is an even function

- the origin when it is an odd function.

A symmetrical graph about the x-axis is not a function graph.

f(x) is an even if and only if f(-x) = f(x).

f(x) is an odd if and only if f(-x) = -f(x).

We have the function r(θ) = 4cos(5θ)

(olny symmetry about the y-axis or about the origin)

Check r(-θ):

r(-θ) = 4cos(5(-θ)) = 4cos(-5θ) = 4cos(5θ)

used cos(-x) = cos x

We have r(-θ) = r(θ). Therefore the graph of r(θ) is symmetric about the y-axis.

Answer:

x-axis

Step-by-step explanation:

if r%28theta%29+=+r%28-theta%29.

Since 4cos%285%2Atheta%29+=+4cos%28-5%2Atheta%29, the graph is symmetric wrt the x-axis.

The graph is symmetric wrt the y-axis if r%28theta%29+=+r%28pi-theta%29.

Since 4cos%285%2Atheta%29+%3C%3E+4cos%285%2A%28pi+-+theta%29%29+=+-4cos%285%2Atheta%29+, the graph is not symmetric wrt the y-axis.

The graph is symmetric wrt the y-axis if r%28theta%29+=+r%28pi%2Btheta%29.

Since 4cos%285%2Atheta%29+%3C%3E+4cos%285%2A%28pi+%2B+theta%29%29+=+-4cos%285%2Atheta%29+, the graph is not symmetric wrt the origin.

Final answer:

The quality control manager can use a representative sampling method to test jars of peanut butter for quality, with tests such as total plate count and adherence to quality control protocols and good measurement practices for reliable results.

Explanation:

A quality control manager at a peanut butter manufacturing plant can ensure the quality of peanut butter jars using a representative sampling method. This involves selecting jars at regular intervals from the assembly line, and then conducting tests such as total plate count to measure potential bacterial contamination. For accurate quality control, the process should follow good measurement practices and a standardized quality control protocol that includes recording and analyzing the data and evaluating any deviations from set specifications.

The personnel responsible can reject any sample or batch that does not meet the required standards. For continuous quality assurance, statistical process control methods like mean, standard deviation, and coefficient of variation can be utilized to monitor ongoing production. Furthermore, post-production specifications will determine whether to release or reject the final product. Appropriate documentation and adherence to standard operations procedures (SOPs) are crucial throughout the process, maintaining a systematic approach to product quality.

The sampling method used by the Hamden board of education was systematic, not random, and the sample size of 40 voters out of a population of 7,300 is too small to produce reliable conclusions regarding the community's opinion about building a new media center.

The quality of conclusions drawn from opinion polls largely depends on the methods used to choose a sample and the sample size. When the Hamden board of education sampled every tenth person from the registration list of 7,300 voters to reach 40 voters, they applied a systematic sampling method, as opposed to a truly random sample. While systematic sampling can be used as an approximation of random sampling, this method still poses a risk of introducing bias if there are hidden patterns in the voter registration list.

The sample size is indeed critical for the reliability of the poll. In this case, surveying only 40 voters out of 7,300 is too small to capture the diverse opinions of the entire voter population, which may lead to false inferences and less confidence in the results. For public opinion polls, especially on matters like building a new media center, a larger sample would provide more reliable information and reduce the potential variation that can arise from a smaller sample. Industry standards suggest varying sizes that can balance the accuracy and cost-effectiveness, often ranging from 500 to 2,500 respondents or more depending on the desired level of accuracy.

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Answer:

  see attached

Step-by-step explanation:

The square root of a negative number is undefined, so the applicable table is the one shown below.

Answer:

Table 3 represents the correct points that lie on the graph of the function.

Step-by-step explanation:

We are given the function:

[tex]f(x) = \sqrt{x}[/tex]

We have to plot the given function.

The attached image shows the graph for the given function.

Putting values for x in the function we get:

[tex]f(x) = \sqrt{x}\\f(-1) = \sqrt{-1}[/tex]

which is undefined.

[tex]f(0) = \sqrt{0} = 0\\f(1) = \sqrt{1} = 1[/tex]

Table 3 represents the correct points that lie on the graph of the function.

Answer:

50:13

Step-by-step explanation:

Answer: x = 180 - (31 + 40)

Hope this helps!

~VERNEX

Answer:

B. Cos 69°

Step-by-step explanation:

Given : sin 21°

Solution : To show how Cos 69 ° = Sin 21 °

we will use sine and cosine trigonometric identity

i.e. Cos (90 °-x) = Sin x           ---(A)

We are given Sin 21 °

So, putting x =21 ° in (A)

We are getting : Cos(90 °-21 °) = Sin 21 °

⇒Cos 69 ° = Sin 21 °

Hence it is shown that Cos 69 ° = Sin 21 °

Answer:

Option A is correct.

Step-by-step explanation:

Given:

Angle of the right angles triangle are 45° , 45°, 90°

Length of the Hypotenuse = 7√2 units.

To find: Length of the one leg of the triangle.

Since two angles of the triangles are equal.

⇒ Opposite sides to equal angles are also equal.

We have Isosceles right angled triangle.

⇒ both legs are equal.

Let x be the length of the leg

using Pythagoras theorem,

(7√2)² = x² + x²

2x² = 49 × 2

x² = 49

x = ±7

Length cannot be negative so, x = 7

Therefore, Option A is correct.