Let f(x) = x[], where [x] denotes the greatest integer that is less than or equal to r, then f(0) = (a) 1 (6) -2 (c) 0 (d))-1 (e) 2

(i) 98³

(100-2)³

100³ + 2³ + 3(100*2)(100+2)

[by using the equation (a-b)3=a3+b3+3ab(a+b)]

1000000+8+(600*102)

The solution is 1000008+61200 1061208.

(ii) 188 × 212 = 39856

Given:

The ratio of 188 to 212

To locate

the importance of adopting a proper identity

Equation: (a + b) = (a2 - b2 ( a - b )

Solution:

Phase 1 of 2:

Note the supplied expression in writing.

The formula is 188 212. Step 2 of 2:

Find the expression's value.

188 × 212\s= ( 200 - 12 ) × ( 200 + 12 )

= ( 200 + 12 ) × ( 200 - 12 ) ( 200 - 12 )

= 200² - 12²

= 40000 - 144

= 39856

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Answer:

Answer: 220

Step-by-step explanation:

Answer:

Convection

Step-by-step explanation:

The correct option is  C Radiation.

Conduction means transfer of energy (heat) arising from temperature differences between adjacent parts of a body.

Convection is the transfer of thermal energy by the physical movement of fluid (liquid, gas, or plasma) from one location to another.

Radiation is an electromagnetic radiation that is emitted by a body as a result of its temperature. All objects with a temperature above absolute zero emit thermal radiation in a spectrum of wavelength.

Sublimation is the process of changing a solid into a gas without passing through the liquid phase. To sublime a substance, a certain energy must be transferred to the substance via heat (q) or work (w).

Hence from all the above definitions it is clear that every phenomenon except  radiation transfer some amount of thermal energy.

Hence through Radiation thermal energy is not transferred.

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The Total cost for delivering x pizzas f(x) is given by f (x) = 8x + 6

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We are given that Carla is ordering pizzas for delivery. Each pizza costs $8 , and there is a $6 delivery charge per order.

Here we want to find cost as a function of number of pizzas delivered.

Let the cost for delivering x pizzas be f(x) thus we have;

Cost of 1 pizza = 8 $

Cost of x pizza = 8x $

Delivery charge = 6 $

The Total cost for delivering x pizzas f(x) is given by f (x) = 8x + 6

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Answer:21 tree cards

Step-by-step explanation:

A placebo is a medication or procedure that is given to a patient for psychological rather than physiological reasons.

The most typical sources of caffeine in nature are the cocoa, tea, and coffee plants. It functions by activating the central nervous system and brain, keeping you alert and delaying the development of fatigue.

Coffee has a maximum of 86 mg of caffeine per serving.

The highest daily dose of caffeine recommended by health authorities, excluding those who are pregnant or breastfeeding, is 400 mg for healthy individuals. Additionally, it is advised to consume no more than 200 mg of caffeine daily from all sources while pregnant or nursing.

Unwanted adverse effects might arise from placebos. Negative placebo effects, often referred to as nocebo effects, have been documented as nausea, drowsiness, and allergic reactions, including skin rashes.

Considering everything, it's clear that placebos aren't used in studies all that frequently. Therefore, the 86mg of placebo is employed in a regulated manner in the study.

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The possible mole ratios are 2:1 for the reaction 2Ag2O → 4Ag + O2. The mole ratios help in understanding the stoichiometry of the reaction, indicating the relative amounts of reactants and products involved.

The balanced equation for the decomposition of silver oxide is 2Ag2O → 4Ag + O2. This equation indicates that for every 2 moles of silver oxide (Ag2O), 4 moles of silver (Ag) and 1 mole of oxygen gas (O2) are produced. This ratio of 2:1 between Ag2O and Ag, and the 1:2 ratio between Ag2O and O2, represent the mole ratios in this reaction.

Mole ratios are important because they provide a quantitative relationship between the amounts of substances involved in a chemical reaction. They help in determining the relative quantities of reactants and products and allow for the calculation of the amount of one substance based on the known amount of another. Mole ratios are derived from the coefficients in a balanced chemical equation and allow chemists to understand the stoichiometry of a reaction. By knowing the mole ratios, one can predict the amounts of reactants needed, the amount of products formed, and perform calculations such as determining limiting reactants and percent yields.

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The area of the spill is increasing at a rate of approximately 94.25 square meters per minute at the end of an hour.

Using the formula for the rate of change of the area, we can calculate the rate at which the area is increasing at the end of an hour:

dA/dt = 2πr(dr/dt) = 2π(30 meters)(0.5 meters per minute) ≈ 94.25 square meters per minute

Area is a mathematical concept that refers to the amount of space contained within a two-dimensional shape or surface. It is typically measured in square units, such as square meters or square feet. The formula for calculating the area of a shape depends on its geometry. For example, the area of a rectangle is calculated by multiplying the length and width, while the area of a circle is calculated by multiplying pi (approximately equal to 3.14) by the square of its radius.

Area is used in a variety of fields, including mathematics, physics, engineering, and architecture. In mathematics, the study of area is a fundamental part of geometry, and is used to solve problems related to shapes and their properties. In physics, the concept of area is used to calculate quantities such as force, pressure, and energy.

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The sample variance, denoted by S^2, is an unbiased estimator of the population variance σ^2. However, S^2 cannot attain the Cramer-Rao lower bound.

To show that S^2 is an unbiased estimator of σ^2, we need to demonstrate that its expected value is equal to σ^2. By definition, S^2 is calculated as the sum of squared deviations from the sample mean, divided by (n-1), where n is the sample size. Taking the expected value of S^2, we can show that it equals σ^2.

However, S^2 cannot attain the Cramer-Rao lower bound, which represents the minimum achievable variance for an unbiased estimator. The reason is that S^2 is based on the sample mean, which is itself a random variable and introduces additional variability. Therefore, S^2 cannot achieve the minimum variance bound set by the Cramer-Rao inequality.

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Answer:35%

Step-by-step explanation:

So I’m not sure this is high school math because i’m still in grade school but...

So what you have to do is make a ratio

so if 70 students out of 200 in college prefer history the ratio should be 70 to 200 or 70:200

Then you want to do 70 * 200 which then you get a answer of .35

then to make .35 into a percent you move the decimal two spaces to the left for a answer of 35%

Hope this helps!

A total of 17.5% of students are college students that prefer history.

Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

So the percentage actually means a part per 100.

Percentage is usually denoted by the symbol '%'.

Total number of students = 400

Number of college students that prefer history = 70

Percentage is the division of the required number with the whole.

Percentage of students who are college students that prefer history is,

= (70 / 400) × 100

= 17.5%

Hence the percentage of students who are college students that prefer history is 17.5%.

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Answer:

is A

Step-by-step explanation:

No. Nick multiplied before dividing

Answer:

the answer is nick multiplied before dividing.  

Step-by-step explanation:

x2 = -2.0000. In this way, we get x2, the second approximation to the root of the equation using Newton's method with an initial approximation x1 = −2.

Newton's method is one of the numerical methods used to estimate the root of a function.

The following are the steps for using Newton's method:

Let the equation f (x) = 0 be given with an initial guess x1, and let f′(x) be the derivative of f(x).

Determine the next estimate, x2, by using the formula x2 = x1 - f (x1) / f'(x1).

Therefore, the given equation is x³ + x + 6 = 0.

Let us use Newton's method to solve the given equation. We have x1 = -2, which is the initial approximation.

Therefore, f(x) = x³ + x + 6, and f'(x) = 3x² + 1.

To find x2, the second approximation to the root of the equation, we need to substitute the values of f(x), f'(x), and x1 into the formula x2 = x1 - f (x1) / f'(x1).

Substituting the given values in the above equation we get, x2 = x1 - f (x1) / f'(x1) = -2 - (-2³ - 2 + 6) / (3(-2²) + 1) = -2 - (-8 - 2 + 6) / (3(4) + 1) = -2 - (-4) / 13 = -2 + 4 / 13 = -26 / 13

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Answer:

the first one is false,the second one is true,the third one is false and the last one is true

1. False, 2. True, 3. False, 4. True

1. False~sum of rational + rational= rational not irrational

2. True~ product of rational x irrational= irrational

3. False~ product of nonzero rational x irrational= irrational not rational

4. True~ sum of rational + irrational= irrational

Step-by-step explanation:

1.= 1 1/2 + 5= 6 1/2 this is rational not irrational so~ False

a) The velocity of a particle is the derivative of its position function. So, we need to find the derivative of x = 22t - 4t3 with respect to t to get the velocity function:

v = dx/dt = 22 - 12t2

To find when the velocity is zero, we need to solve the equation:

22 - 12t2 = 0

12t2 = 22

t2 = 22/12 = 11/6

t = √(11/6) = 1.36 seconds

So, the particle's velocity is zero at t = 1.36 seconds.

b) The acceleration of a particle is the derivative of its velocity function. So, we need to find the derivative of v = 22 - 12t2 with respect to t to get the acceleration function:

a = dv/dt = -24t

To find when the acceleration is zero, we need to solve the equation:

-24t = 0

t = 0

So, the particle's acceleration is zero at t = 0 seconds.

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Answer: 12

Step-by-step explanation: Use the quadratic equation to solve the equation.

a = 1

b = -8

c = 12

Answer:

x=6 is the answer

Step-by-step explanation:

x squared -8 x +12=0

6 squared=36

36-8x +12=0

x= 6 so 8*6 =48

36-48+12=0

36-48= -12

-12+12=0

hope this helps

Answer:

h = 7

Step-by-step explanation:

We are given the equation A=bh , and need to work out the unknown variable .

So we substitute the values of A and b given :

70 = (10)(h)

70 = 10 × h

Divide both sides by 10 :

70 ÷ 10 = h

h = 7

Hope this helped and have a good day

Step-by-step explanation:

a. (3 - 2/3) ÷ (4/3 x 7)

= [(3 x 3) / (1 x 3) - 2/3] ÷ 28/3

= (9/3 - 2/3) ÷ 28/3

= 7/3 x 3/28

= 21/84

= (21 x 1) / (21 x 4)

= 1/4

b. 2/3 ÷ 5/6 - 2/5

= 2/3 x 6/5 - 2/5

= 12/15 - 2/5

= (3 x 4) / (3 x 5) - 2/5

= 4/5 - 2/5

= 2/5

c. (- 3/4 + 1/2) ÷ (2/5 - 5/2)

= [- 3/4 + (1 x 12) / (2 x 2)] ÷ [(2 x 2) / (5 x 2) - (5 x 5) / (2 x 5)]

= (- 3/4 + 12/4) ÷ (4/10 - 25/10)

= 9/4 ÷ (- 21/10)

= 9/4 x - 10/21

= - 90/84

= (6 x - 15) / (6 x 14)

= - 15/14.

If you have any doubt, then you can ask me in the comments.

The velocity of block B is 10.92 m/s when it has moved through a distance of 3 m.

Taking the square root of the velocity, we obtain

\(v=−10.92m/sv=−10.92m/s\)

Since the negative value of velocity indicates that block B is moving downwards.

Thus,

The principle of work and energy to determine characteristics of a system of particles, including final velocities and positions can be used as follows:

The two blocks shown have mA​=42 kg and mg=80 kg. The coefficient of kinetic friction between block A and the inclined plane is μk​=0.11. The angle of the inclined plane is given by θ=45∘Neglect the weight of the rope and pulley (Figure 1). The magnitude of the normal force acting on block A is to be determined. NA​The free body diagram of the two blocks is shown below.

The weight of block A is given by \(mAg​=mA​g=42×9.81≈412.62N.\)

Using the kinematic equation of motion,\(v2=2as+v02=2(−2.235)(26.7)+0=−119.14v2=2as+v02=2(−2.235)(26.7)+0=−119.14\)

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Answer:

The balance of the savings account in 15 years will be $1,750.24.

\(To calculate \(\sin75^\circ - \cos75^\circ\) without using a calculator, we can use trigonometric identities and angles that we can evaluate. Let's break it down step by step.\)

\(First, we can rewrite \(\sin75^\circ\) and \(\cos75^\circ\) using angle addition formulas: \(\sin75^\circ = \sin(45^\circ + 30^\circ) = \sin45^\circ\cos30^\circ + \cos45^\circ\sin30^\circ\)\)

\(\(\cos75^\circ = \cos(45^\circ + 30^\circ) = \cos45^\circ\cos30^\circ - \sin45^\circ\sin30^\circ\) Now, let's evaluate \(\sin45^\circ\), \(\cos45^\circ\), \(\cos30^\circ\), and \(\sin30^\circ\) using the values we know: \(\sin45^\circ = \frac{\sqrt{2}}{2}\), \(\cos45^\circ = \frac{\sqrt{2}}{2}\), \(\cos30^\circ = \frac{\sqrt{3}}{2}\), \(\sin30^\circ = \frac{1}{2}\)\)

\(Plugging these values back into the initial expression:\(\sin75^\circ - \cos75^\circ = \left(\frac{\sqrt{2}}{2} \cdot \frac{\sqrt{3}}{2}\right) + \left(\frac{\sqrt{2}}{2} \cdot \frac{1}{2}\right) - \left(\frac{\sqrt{2}}{2} \cdot \frac{\sqrt{3}}{2}\right) + \left(\frac{\sqrt{2}}{2} \cdot \frac{1}{2}\right)\)\)

\(Simplifying this expression:\(\sin75^\circ - \cos75^\circ = \frac{\sqrt{6}}{4} + \frac{\sqrt{2}}{4} - \frac{\sqrt{6}}{4} + \frac{\sqrt{2}}{4} = \frac{\sqrt{2}}{4}\)Therefore, \(\sin75^\circ - \cos75^\circ = \frac{\sqrt{2}}{4}\)\)

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The F-statistical value is 1.42.

The F-statistical value is calculated by dividing the mean square of treatment (MST) by the mean square of error (MSE). In this case, MST is 35.29 and MSE is 24.87. By dividing MST by MSE, we obtain the F-statistical value of 1.42, rounded to 2 decimal places.

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Answer:

y=-0.5x+2 (-4,0) (0,2)   y=0.5x+6 (0,6)(12,0)

Step-by-step explanation:

Desmos

Answer:

40ft

Step-by-step explanation:

√100=10

10*4=40ft

Answer:

The correct answer is 40 feet.

Step-by-step explanation:

We know that the area of the square is 100 square feet.  We also know that we can find the area of the square using the formula A = s^2, where s represents the side length of the square.

A = s^2

If we plug in the value for the area that we are given, we get:

100 = s^2

To find the side length, we take the square root of both sides.

10 = s

To find the perimeter of a square, we should add up four times the side length (since there are 4 equal sides to a square).

Thus, the perimeter of a square is given by:

P = 4s = 4(10) = 40 feet

Therefore, the correct answer is 40 feet.

Hope this helps!

Hence, point P's coordinates are (6, 3) as the midpoint of the line segment from R to Q, which is the precise halfway point between R and Q.

A point's location on a line or in space can be determined using a set of numbers called coordinates. An x-coordinate and a como, which denote the horizontal as well as vertical ranges from a bench mark known as the origin, are the two numbers that make up coordinates in two-dimensional space. Three numbers, the x, y, and z coordinates, which describe the distances from origin in the x, y, and g directions, respectively, might make up coordinates in three-dimensional space. Among other disciplines, coordinates are frequently employed in physics, arithmetic, and geometry.

given

The midpoint of the line segment from R to Q, which is the precise halfway point between R and Q, must be located in order to determine the coordinates of point P.

We can separately aver the x- and y-coordinates to get the middle.

The midpoint's x-coordinate is (4 + 8)/2, which equals 6.

(0 + 6)/2 = 3 is the midpoint's y-coordinate.

Hence, point P's coordinates are (6, 3) as the midpoint of the line segment from R to Q, which is the precise halfway point between R and Q.

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Answer:

(-3.5 , 2.3)

Step-by-step explanation:

I know

Answer:

a) A(8,-3), B(4,-3), C(2,5)

b) not sure sry

Distance between hive and flower bed is 2250 feet.

Distance=Speed *time

What is a hive?

A freak flies at 20 bases per alternate directly to a flower bed from its hive

so, forward speed is

canvases directly back to the hive at 12 bases per alternate

so, backward speed is

It's down from the hive for 20 twinkles total

so,

total time = forward time backward time stay time

The freak stays at the flower bed for 15 twinkles,

20 =  tb 15

Now, we can change it into seconds  we know that

distance between hive and flower bed will remain  Let's assume

forward time = x

So,

We know that

Distance = speed * time

Now, we can plug value now, we can plug values

Both distances are same

Now, we can break above equations and find x

Add both sides 12x

Now, we can find distance

So, distance between hive and flower bed is 2250feet.

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Answer:

x = 3

Step-by-step explanation: