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Solution

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Explain the model

It can be seen from the image that the longer block is made up of two short blocks. Since the short block is 1, the longer one will be two times the short block which is 2 times 1 = 2.

STEP 2: Get the value of x

Hence, the value of x that makes the equation true is:

Answer:

For a height of 66 inches, Z = 0.65.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The average height was about 64.3 inches; the SD was about 2.6 inches.

This means that \(\mu = 64.3, \sigma = 2.6\)

66 inches:

The z-score for a height of 66 inches is:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{66 - 64.3}{2.6}\)

\(Z = 0.65\)

For a height of 66 inches, Z = 0.65.

g(x) is a translation of 6 units downwards.

Here we have the function:

y = f(x) = 3x + 1

Notice that the y-intercept of f(x) is:

f(0) = 3*0 + 1 = 1

The y-intercept of f(x) is y = 1.

Now, we know that the y-intercept of g(x) is -5. then:

g(x) = 3x - 5 = f(x) - 6

Meaning that g(x) is a translation of 6 units downwards.

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Answer:

translated 2

units up

g(x)= f(x-2)

Step-by-step explanation:

Answer:

\(\huge\boxed{\sf 62}\)

Step-by-step explanation:

Let the two consecutive numbers be x and x + 1.

Given condition is:

x + x + 1 = 125

2x + 1 = 125

Subtract 1 to both sides

2x = 125 - 1

2x = 124

Divide 2 to both sides

x = 62

So, the numbers are:

x = 62

x + 1 = 62 + 1 = 63

So, the smallest number is 62.

\(\rule[225]{225}{2}\)

Hope this helped!

if the sum of two consecutive numbers is 125 then the smallest number is?

62

Let the first number be x

Let the second number be x+1

=> x + x + 1 = 125

=> 2x + 1 = 125

=> 2x = 125-1

=> 2x = 124

=> x = 124/2

=> x = 62

First number = 62

Second number = x+1 = 62+1 = 63

From the given information provided, the inequality that is correct is 1.29p + 2.25c ≤ 10. Hence, option b is correct.

The inequality that represents this situation is:

1.29p + 2.25c ≤ 10

An inequality is a mathematical statement that compares two values, expressing that one value is less than, greater than, less than or equal to, greater than or equal to, or not equal to another value.

This inequality states that the cost of p packages of paper plates at $1.29 per package plus the cost of c packages of plastic cups at $2.25 per package must be less than or equal to $10.

So, if Roger wants to spend less than $10 on the paper plates and plastic cups, he must satisfy this inequality.

Question - Rodger is going to the store to buy paper plates and plastic cups for a party the store sells paper plates for $1.29 each package and plastic cups for $2.25 each package. if p represents the number of packages of paper plates and c the number of packages of plastic cups rodger buys. He wants to spend less than $10. Which of these inequalities represent this situation?

2.25p+1.29c≤10

1.29p+2.25c≤10

2.25p+1.29c<10

1.29p+2.25c<10

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Answer:

24

Step-by-step explanation:

The computation of the number  of bacteria in the sample after 18 hours is shown below:

We assume the following things

P = 4 = beginning number of bacteria

rate = r = 0.1

Now

We applied the following formula

\(A = Pe^{rt}\)

\(= 4\times e^{18\times0.1}\)

\(=4e^{1.8}\)

\(= 4\times6.049647464\)

= 24

We simply applied the above formula to determine the number of bacteria after the 18 hours

Step-by-step explanation:

try this option, all the details are in the attachment.

The standard form given of the function is x² - 12x - 45.

A quadratic equation has the conventional form ax2 + bx + c = 0, where an is the leading coefficient and a real integer that is not zero.

The quadratic equation ax2 + bx + c = 0 has the conventional form, where a 0 and a, b, and c are real values.

The given function is -

(x−6)²=81

⇒ x² + 36 - 12x = 81

⇒ x² - 12x = 81 - 36

⇒ x² - 12x = 45

⇒ x² - 12x - 45

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Answer:

Step-by-step explanation:

If each project requires 8 sheets of paper, and your class uses a total of 256 sheets you would divide 256/8=32 you have 32 people in your class

Answer:32

Step-by-step explanation:

step 1: total no of sheets used by class is 256 and lets name this variable as total_no_of_sheets_used = 256

step 2: no of sheets required for each project is 8 and lets name this variable as total_no_of_sheets_required_per_project = 8

step 3: in order to know how many people are there in class we use the below formula
people_in_cass = total_no_of_sheets_used / total_no_of_sheets_required_per_project
so the answer is
people_in_class = 256/8 = 32

AAnswer:

AB (-1, 4) = 34^ and B = (3,-1) 249*32 = 20

Step-by-step explanation:

Answer:

\(AB=\sqrt{53}\:\sf units\)

\(EF=\sqrt{349}\:\sf units\)

Step-by-step explanation:

Distance between two points

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

\(\textsf{where }(x_1,y_1) \textsf{ and }(x_2,y_2)\:\textsf{are the two points}.\)

Given:

Substitute the given points into the distance formula and solve for AB:

\(\begin{aligned}\implies AB & =\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}\\& =\sqrt{(3-(-4))^2+(-1-1)^2}\\& =\sqrt{(7)^2+(-2)^2}\\& =\sqrt{49+4}\\& = \sqrt{53}\end{aligned}\)

Given:

Substitute the given points into the distance formula and solve for EF:

\(\begin{aligned}\implies EF & =\sqrt{(x_F-x_E)^2+(y_F-y_E)^2}\\& =\sqrt{(11-(-7))^2+(3-(-2))^2}\\& =\sqrt{18^2+5^2}\\& =\sqrt{324+25}\\& =\sqrt{349}\end{aligned}\)

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Answer:

b

Step-by-step explanation:

this because both VCSs were recording on the same time hence Butch will have two copies of record and the A vcr having an Extra of what B vcr will

Step-by-step explanation: 2 1/3

this is the answer of the equation as a graph

Given:

In a class of 10 students, the ratings are given based on their performance on a test. The following data was taken from ratings given by the class teacher:

5, 1, 2, 4, 2, 3, 5, 3, 3, 4

Required:

To choose the correct option

Answer:

I believe it would take 30.96 minutes.

Step-by-step explanation:

2.8 divided by 3 = .93 miles per minute

.93 x 33.3 miles =30.969 minutes

Answer:

A≈12.57

Step-by-step explanation:

Using the formulas

A=πr2

d=2r

Solving for A

A=1

4πd2=1

4·π·42≈12.56637

The percent extension and lengthening (in meters) for the deformed rock layers is 20%.

Percent extension refers to the amount of stretching that has occurred in a rock layer, expressed as a percentage of its original length.

To calculate percent extension, we would subtract the original length from the current length (120 - 100 = 20) and then divide that difference by the original length (20/100 = 0.2).

Finally, we would multiply by 100 to get the percent extension (0.2 x 100 = 20%).

Therefore, the percent extension of the rock layer would be 20%.

In summary, percent extension and lengthening are important concepts in geology that help us understand how rocks have been deformed over time.

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Answer: I'm sorry

Step-by-step explanation: I don't have the answer...

Answer:

No, this figure is not a polygon

Step-by-step explanation:

Answer:

Thats not the way to give an answer..should write it properly

its just similar to..someone asked your name and you say this is the link and you give him the link of the ppt you made of your name

Answer:

The circumference of the circle is always 2π times as large as its radius. Let r represent the radius of the circle (in feet) and let C represent the circumference of the circle (in feet).

Step-by-step explanation:

hopes this helps

answer 2

π

times as large as its radius.

Total number of rabbits produced in 9 years will be 45.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is a rabbit can produce 5 new rabbits per year

Total number of rabbits produced in 9 years will be -

n = 5y = 5 x 9 = 45 new rabbits

Therefore, total number of rabbits produced in 9 years will be 45.

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Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

Answer:

The correct operator for the exponential expression 3^5 ? 4^6 is > (greater than), because we can compare the values of the two exponents:

3^5 = 243

4^6 = 4096

Since 4096 is greater than 243, we can write:

3^5 < 4^6

or

4^6 > 3^5

Therefore, the correct operator for the exponential expression 3^5 ? 4^6 is > (greater than).

Answer:The inequality represented by the equation y = -11/7x - 4 can be written as:

y ≤ -11/7x - 4

This represents a less than or equal to inequality, indicating that the values of y are less than or equal to the expression -11/7x - 4.

Step-by-step explanation: .

Answer:y=-2x+3

Step-by-step explanation:

Answer:

The grandfather collected  2,379,682,122 more

Step-by-step explanation:

3,297,000,014 - 917,317,892 = 2,379,682,122

The acceleration of the collar at point A is 5 ft/s^2.

A) To determine the normal force on the collar at point A, we need to consider the forces acting on the collar. The only force acting on the collar in the vertical direction is the weight of the collar (5 lb), which is balanced by the normal force exerted by the rod. Therefore, we can write:

N - 5 = 0

where N is the normal force. Solving for N, we get:

N = 5 lb

B) To determine the acceleration of the collar at point A, we need to use Newton's second law, which states that the net force acting on an object is equal to its mass times its acceleration. The net force on the collar is given by the force exerted by the spring, which is equal to the spring constant times the displacement of the collar from its unstretched length. At point A, the displacement of the collar is:

x = L - y = 3 - 0 = 3 ft

where L is the length of the rod and y is the position of the collar on the rod. Therefore, the force exerted by the spring is:

F = kx = 10 lb/ft × 3 ft = 30 lb

The weight of the collar is:

W = mg = 5 lb

where g is the acceleration due to gravity. The net force on the collar is therefore:

Fnet = F - W = 30 - 5 = 25 lb

Using Newton's second law, we can write:

Fnet = ma

where a is the acceleration of the collar. Solving for a, we get:

a = Fnet / m = 25 lb / 5 lb = 5 ft/s^2

Therefore, the acceleration of the collar at point A is 5 ft/s^2.

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HELLO

I NEEDED HELP WITH THE SAME QUESTION SO I PUT IT UP WITH A PIC SO U CAN ALSO GET AN ANSWER FROM THERE

HERE YA GO <3

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Answer:

heyy i did this problem a while ago and got kinda stuck on it

"3 va después de 5 y entre 7 y 12" = "3 goes after 5, and between 7 and 12"

This eliminates A and D (3 is not between 7 and 12 in either choice).

"5 va antes de 12 y entre 7 y 3" = "5 goes after 12, and between 7 and 3"

This eliminates C (5 is not between 7 and 3).

So the correct sequence is B.