Solve for x.
7 =
X =

Answer: there u go this the correct answer if your on khan academy.

From the given right angle triangle, the length of side BC will be equal to 6√2.

Any triangle that has one 90º angle has a right angle. Right triangles are those with an angle of 90 degrees, or "right angles," and are therefore those with this angle. The Pythagorean rule can be used to clarify the relationship between both the triangle's different sides.

As per the data provided in the question,

If one of the angles in a right triangle is 45 degrees, therefore the complimentary angle must also be 45 degrees.

Then,

m∠B = 45°

From the triangle ABC.

Cos B = BC/AB

As we know, the value of cos at 45° = √2/2

AB = 12

BC = cos (B) (AB)

BC = (√2/2) × 12 = 6√2 units.

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The correct choice is B

In the given statement is:

The Great Pyramid of Giza in Egypt originally had a height of about 148 meters. The base of the pyramid was a square with 230-meter sides.

To find the original volume of the pyramid.

We know that, the Volume of the Pyramid is V = 1/3 Bh,

Where B is the area of the base and h is the height of the pyramid.

Now, V = 1/3 Bh

V = \(\frac{1}{3}\)(230 x 230)148

V~ 2,609,733\(m^{3}\)

Hence, The correct choice is B

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Equation employing the slope-intercept method for two points

The slope-intercept version of the equation may be used to calculate the two-point Y-intercept.

The shape of a point-slope is\(\mathbf{Y-Y_{1} = m(X-X_{1})}.\)

Steps to find the y-intercept with two ordered pairs?

Determine the slope using two points.

\(Slope = \frac{Y_{2}-Y_{1}}{X_{2}-X_{1}} = \frac{Rise}{Run} = \frac{\bigtriangleup Y}{\bigtriangleup X}\)

As an illustration, two points are (3, 5) and (6, 11)

Slope = \(\frac{Y_{2}-Y_{1}}{X_{2}-X_{1}} = \frac{11 - 5}{6 - 3} = \frac{6}{3} = 2\)

In the slope-intercept form of the equation, substitute the slope(m).

\(\\y = mx+b \\y = 2x+b\)

Either point may be substituted in the equation. You may either use (3,5) or (6,11).

\(\\y = 2x+b \\5 = 2(3)+b\)

Find the answer to the equation for b, the line's y-intercept.

\(\\5 \ \ \ = 2(3) + b \\5 \ \ \ = 6 + b \\\underline{-6\ = -6 \ \ \ \ \ \ \ } \\-1 = b\)

Substitute b,  into the equation.

\(\\y = 2x + b \\y = 2x - 1\)

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Part A: Calculation of the limit at x = 3In order to find the limit of the function, we can factorize the numerator by factoring out (x-3).  Limit \(\((x 3)\frac{(x^3 - 27)}{ (x-3)} )\)Now, factorize x³ - 27 to get the difference of cubes. The

limit equation becomes,  Limit \((x 3) \frac{ (x-3)(x² + 3x + 9)]}{(x-3)}\) Now, we can cancel out the term (x-3) from the numerator and denominator to get the limit equation as

Part B: Limit \((x 3) (x^2 + 3x + 9)\)The limit of the function at x = 3 is the value of the function as x approaches 3. By plugging in x = 3 in the equation above, we get, Limit (\((x 3) (x^2 + 3x + 9) = (3)^2 + 3(3) + 9\) = 27Part B: Equation of line through f(3) with slope = 27

The slope of the line is 27, and it passes through the point (3, f(3)). The equation of the line can be found using the point-slope form.  \(y - f(3) = 27(x - 3)\)

Part C: Simplifying the equation, we get,\(y = 27x - 78\) Part C: Graphical representation of the line and the function

The graph of the function f(x) is a parabola opening upward with a vertex at (3, 0). The slope of the line is positive, which means the line will have a positive y-intercept.

The line will intersect the y-axis at (0, -78).Both the graph of the function and the line pass through the point (3, 0). The line is tangent to the graph of the function at that point.

The slope of the line represents the instantaneous rate of change of the function at the point (3, 0). It is the same as the limit we calculated in Part A.

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Step-by-step explanation:

y = 200  - 3 *x  has slope = -3   this is downward sloping from L to R

Answer:downward sloping

Step-by-step explanation:

negative slope

Answer:

7392 pounds

Step-by-step explanation:

22x24x14

multiplication my friend

Answer:

268

Step-by-step explanation:

Area for surface area of a rectangular prism:

\(A=2(wl+hl+hw)\)

Assuming:

\(l=10\\w=8\\h=3\)

\(A=2(80+30+24)= 268\)

Hope this helps!

Answer:

A

352

Step-by-step explanation:

Answer:

numerator

Step-by-step explanation:

it becomes the numerator because however many places over the numbers to the decimals are is the amount if its in like the 10th 100th 1000th and so on. But if there is a one or more to the left side of the decimal it becomes the whole number, so that leaves the numerator. So that is how the numerator is the answer.

Answer:

I'm not exactly sure what you want answered here because you have the correct graph, but this is my graph and it's the same as yours

Answer:

D. The money that Kai started with before he mowed any lawns.

Step-by-step explanation:

We Know

The equation is y = mx + b

The x represents the number of lawns that Kai mows.

What does the y-intercept represent in this equation?

The y-intercept is when the x = 0, meaning the y-intercept is the amount of money he has when mowing 0 lawn. So, the answer is D.

Answer:

The Answer is D

Step-by-step explanation:

The correct answer is b. Each block should consist of volunteers who live in similar environments when it comes to mosquitoes.

Explanation:

In a randomized block design, blocks are formed to control for potential confounding factors or sources of variation that may affect the outcome of the experiment. By forming blocks based on similar environments when it comes to mosquitoes, the researchers ensure that any differences in the effectiveness of the bracelet and bug spray are not solely due to variations in mosquito exposure.

If the researchers were to choose option a (both the volunteers and researchers should be kept blind as to which block the volunteers are in), it would be related to blinding the participants and researchers to the treatment assignment, not forming blocks. This method does not address the need for controlling potential confounding factors.

Option c (each block should consist of volunteers who live in different environments when it comes to mosquitoes) would not be suitable because it would introduce additional variability and make it difficult to compare the effectiveness of the bracelet and bug spray.

Option d (each volunteer should be randomly assigned to a block) is not recommended in this case because it does not take into account potential confounding factors related to mosquito exposure.

Option e (volunteers in one block should use the bracelet, while volunteers in the other block should use bug spray) does not control for potential confounding factors, as individuals in different blocks may have different levels of mosquito exposure.

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Answer:

2.4%

Step-by-step explanation:

Answer:

2.4 percent

Step-by-step explanation:

As per similar rule:

So:

Answer: 11,500 grams

Step-by-step explanation: 920/8=115 115*100= 11,500

The correct option regarding Sara's and Sam's position between 40 minutes and 80 minutes is given as follows:

C. Were not moving since there was not a change in position.

The graph is given by the image shown at the end of the answer, and the relation graphed is defined as follows:

Distance x Time.

Hence the input and the output variables are given as follows:

Between 40 minutes and 80 minutes, which is a symmetric period around the time of one hour, the graph is constant.

The constant graph means that the position was not changed, that is, they were not moving, hence the correct statement is given by option C.

The problem is given by the image shown at the end of the answer.

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The density of the liquid substance Y can be determined by using the conversion factor 1 atm = 41.5 ft⁻Y and the density of the liquid substance Y is approximately 19.68 ft⁻Y.

Conversion factor: 1 atm = 41.5 ft⁻Y

The "feet of liquid substance - Y" unit is defined as the pressure equivalent to the pressure that exists one foot below the surface of substance Y. In other words, if we go one foot below the surface of substance Y, the pressure will be equivalent to 1 ft⁻Y.

Since pressure is directly related to the density of a liquid, we can equate the pressure in units of atm to the pressure in units of ft⁻Y.

Therefore, we can say:

1 atm = 41.5 ft⁻Y

From this equation, we can conclude that the conversion factor for pressure between atm and ft⁻Y is 41.5.

we can calculate the conversion factor from "feet of liquid substance - Y" (ft⁻Y) to atm.

To convert from ft⁻Y to atm, we can use the inverse of the given conversion factor:

Conversion factor: 1 atm = 41.5 ft⁻Y

Taking the reciprocal of both sides:

1 / 1 atm = 1 / 41.5 ft⁻Y

Simplifying the equation:

1 atm⁻¹ = 0.024096 ft⁻Y⁻¹

Now, to find the density of the liquid substance Y in units of ft⁻Y, we can multiply the given density in g/cm³ by the conversion factor:

Density in ft⁻Y = 816.55 g/cm³ * 0.024096 ft⁻Y⁻¹

Calculating the density in ft⁻Y:

Density in ft⁻Y ≈ 19.68 ft⁻Y

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C

The mistake the arrangers made is in the second inequality. They considered the number of caps to be bought should be at least 5 times greater than the number of blouses, not the other way around. The correct inequality should be C

The correct answer is D) The first inequality should be s + h ≤ 1800.

The organizers made an error in the first inequality. The given inequality 10s + 8h ≤ 1800 represents the total cost of buying shirts (10s) and hats (8h) should be less than or equal to $1800. However, this does not take into account the fact that the organizers want to buy at least 5 times as many shirts as hats, as indicated by the second inequality h ≥ 5s.

The correct way to represent this constraint is by using the equation s + h ≤ 1800, which ensures that the total number of shirts and hats purchased does not exceed $1800 in cost. This is because the organizers want to make sure that the total cost of shirts and hats combined does not exceed the budget of $1800.

Answer:

How frequently and how long is the system in use function

A system's reliability can be used to gauge how well it is operating and performing. It considers both the system's software and hardware components. This includes how long the system can function without experiencing any issues, how frequently it bounces back from a crash or failure, and how rapidly it reacts to information or service demands. The frequency and length of any system outages, as well as how quickly and dependably the system recovers from failure, must all be determined in order to assess a system's reliability. The user experience should also be taken into account because people may assess the reliability of a system based on how fast and effectively it answers to their requests. In order to determine a system's reliability with precision,

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The complete question is

reliability is measured as the amount of time the system is running and functioning properly. this includes the system’s hardware and software. What is the correct question for the statement above. How frequently and how long is the system in use function ?

Answer: 36298

Step-by-step explanation:

There will be 36298 bacteria after 24 hours.

'To round a number to the nearest whole number, you have to look at the first digit after the decimal point. If this digit is less than 5 (1, 2, 3, 4) we don't have to do anything, but if the digit is 5 or greater (5, 6, 7, 8, 9) we must round up.'

According to the given problem,

Count of bacteria placed in a petri dish = 8000

Time it takes to double = 11

Number of bacteria after 24 hours = 8000 × \(2^{\frac{24}{11} }\)

                                                         = 36298.00071025

Rounding the value to the nearest whole number = 36298

Hence, we can conclude, there will be 36298 bacteria after 24 hours.

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The statement is false given in the question pointing to the ratio of a pair of corresponding sides is 9/16, under the condition that two similar hexagons have areas 36 sq. inches and 64 sq.inches

Now the ratio of the areas of two given similar polygons is equal to the square of the ratio of their corresponding sides .

Then, if two similar hexagons have areas of 36 square inches and 64 square inches,

Therefore, the ratio of their corresponding sides is

√(64/36) = 4/3

But, the problem gives the ratio of a pair of corresponding sides is 9/16 .

Then,

9/16 ≠ 4/3,

The statement is false given in the question pointing to the ratio of a pair of corresponding sides is 9/16.

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Answer:

%20

Step-by-step explanation:

The question is asking for the value of z that satisfies the probability that a standard normal variable z is less than z to be 0.9525. In other words, we want to find the z-score that corresponds to the 95.25th percentile of the standard normal distribution. Option (b) is the closest to the correct answer (-1.67). However, this could be due to rounding errors or differences in the table used. Therefore, the correct answer is (f) None of the above.

To solve this problem, we can use a standard normal distribution table or a calculator with a normal distribution function. Using a standard normal distribution table, we can look up the closest value to 0.9525 in the body of the table, which is 0.9515. The corresponding z-score is 1.65.

However, since the table only gives us values for the area to the left of a positive z-score, we need to subtract 1.65 from 0 (the mean of the standard normal distribution) to get the z-score that corresponds to the 95.25th percentile on the left tail. Therefore, the answer is -1.65. So none of above is correct.

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Answer:

5 hours

Step-by-step explanation:

217+43+43+43+43+43=432

Step-by-step explanation:

age of lilly=8

age of brother=8-5=3

age of sister=2×8

=16

Therefore lilly age is 8

her brother's age is 3 (Tommy)

and her sister's age is 16 (Claire)

hope this helps

Answer

Tommy is 3 and Claire is 16

Step-by-step explanation:

8-5=3 (Tommy's age)

8x2=16 (Clarie's age)

Based on the differential equation a) Solving the DE subject to P(0) = P0 will yield P = ((kP0 - h)e^(kt) + h)/k. b) For the three cases given (P0 > h/k, P0 = h/k, P0 = 0), the behavior of the population P(t) is will be population will grow without bound, the population will remain constant, and the population will decrease and approach zero as t approaches infinity respectively. c) The fish population will go extinct in finite time if there exists a time T > 0 such that P(T) = 0. At T = (1/k)ln(-h/(kP0 - h)) the fish population will go extinct.

(a) To solve the differential equation (dP/dt) = kP - h subject to P(0) = P0, we need to separate the variables and integrate both sides:

(dP/dt) = kP - h

dP/(kP - h) = dt

∫dP/(kP - h) = ∫dt

ln|kP - h| = kt + C

kP - h = e^(kt + C)

P = (e^(kt + C) + h)/k

Using the initial condition P(0) = P0, we can solve for C:

P0 = (e^(k*0 + C) + h)/k

P0 = (e^C + h)/k

e^C = kP0 - h

C = ln(kP0 - h)

Substituting back into the equation for P, we get:

P = (e^(kt + ln(kP0 - h)) + h)/k

P = ((kP0 - h)e^(kt) + h)/k

This is the solution to the differential equation subject to the initial condition P(0) = P0.

(b) The behavior of the population P(t) for increasing time depends on the initial condition P0:

- If P0 > h/k, then the term (kP0 - h)e^(kt) will be positive and will increase exponentially as t increases, so the population will grow without bound.

- If P0 = h/k, then the term (kP0 - h)e^(kt) will be zero and the population will remain constant at P = h/k for all time.

- If P0 < h/k, then the term (kP0 - h)e^(kt) will be negative and will decrease exponentially as t increases, so the population will decrease and approach zero as t approaches infinity.

(c) The fish population will go extinct in finite time if there exists a time T > 0 such that P(T) = 0. From the equation for P, we can see that this will happen if and only if P0 < h/k:

P(T) = ((kP0 - h)e^(kT) + h)/k = 0

(kP0 - h)e^(kT) = -h

e^(kT) = -h/(kP0 - h)

Since the exponential function is always positive, this equation has no solution for P0 > h/k or P0 = h/k. However, if P0 < h/k, then the term (kP0 - h) is negative and the equation has a solution:

kT = ln(-h/(kP0 - h))

T = (1/k)ln(-h/(kP0 - h))

This is the time at which the fish population will go extinct.

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Numbers greater than 1: 3.2 × 10⁵, 2.2 × 10³, 2.4 × 10³, 2.5 × 10⁴.- Numbers between 0 and 1: 1.9 × 10^⁻¹.- Numbers less than 1: 5.9 × 10², 6.1 × 10¹.

The given numbers can be classified according to their values into three categories:

numbers greater than 1, numbers between 0 and 1, and numbers less than 1.


1. Numbers greater than 1:
- 3.2 × 10⁵:

This number is in scientific notation, where 10⁵ means multiplying the number by 10 five times.

So, 3.2 × 10⁵ = 3.2 × 100,000 = 320,000.
- 2.2 × 10³: Similarly, 2.2 × 10³ = 2.2 × 1,000 = 2,200.
- 2.4 × 10³: This number is the same as the previous one, so it also belongs to the category of numbers greater than 1.
- 2.5 × 10⁴: Similar to the previous numbers, 2.5 × 10⁴ = 2.5 × 10,000 = 25,000.

2. Numbers between 0 and 1:
- 1.9 × 10⁻¹ : Here, 10⁻¹ means dividing the number by 10 once. So, 1.9 × 10⁻¹ = 1.9 ÷ 10 = 0.19.

3. Numbers less than 1:
- 5.9 × 10²: This number is between 1 and 10, so it belongs to the category of numbers less than 1.
- 6.1 × 10¹: Similarly, 6.1 × 10^1 = 6.1 × 10 = 61.


- Numbers greater than 1: 3.2 × 10⁵, 2.2 × 10³, 2.4 × 10³, 2.5 × 10⁴.
- Numbers between 0 and 1: 1.9 × 10^⁻¹.
- Numbers less than 1: 5.9 × 10², 6.1 × 10¹.

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Answer:

9

Step-by-step explanation:

Absolute value means the distance from 0 on a number line, and -9 is 9 spots away from 0

Answer:

9

Step-by-step explanation:

Absolute value just means the positive value of the number

Step-by-step explanation:

QR= 1.5 inches

TS= 2 inches

TP= 3.8 inches

RS= 1.4 inches

PQ= 2.6 inches

now complete ur promise

Answer:

Step-by-step explanation:

Remark

The question says to increase the lengths of each side by a factor of 1.5.

That means that every measurement we see on the diagram is multiplied by 1.5

QR = given length times 1.5

given length = 1.5

QR = 1.5 * 1.5

QR = 2.25

TS = given length * 1.5

TS = 2 * 1.5

TS = 3

TP = given length * 1.5

TP given = 3.8

TP = 3.8 * 1.5

TP = 5.7

RS = given length * 1.5

given length = 1.4

RS = 1.4 * 1.5

RS = 2,1

PQ = given length * 1.5

given length = 2.6

PQ = 2.6 * 1.5

PQ = 3.9