Water has a density of 1.00g/cm^3 per cubic centimeter. What is the mass of half a liter of water?

Answer: (f+g)(x) = 6x²- 4x + 6

Step-by-step explanation:

We add f(x) and g(x) together, (4x²-5x+8) + (2x²+x-2)

Add like terms together, (4x²+2x²) + (-5x+x) +(8-2)

We are left with (f+g)(x) = 6x²- 4x + 6

The format option that would result in the following output format:

>> 5/16 + 2/7ans = 67/112 is format compact; format rational; format shortG;

To achieve the desired output format of ">> 5/16 + 2/7ans = 67/112", you can use the following format option in MATLAB:

>> format compact; format rational; format shortG;

This sets the format to:

compact, to suppress excess blank lines in output

rational, to display fractions instead of decimal approximations

shortG, to display numbers in short format

With this format option, MATLAB will display the result of the computation as a fraction, and the output will be compact and free of excessive whitespace.

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The variance of Billy's grades obtained from his test scores is 15.76

The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.

The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;

The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2

The square of the differences of the values from the mean can be calculated as follows;

(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84

The sum of the square of the differences is therefore;

0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8

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Answer:

97

Step-by-step explanation:

48 ( 2 )

= 48 x 2

= 96

48 ( 2 ) + 1

= 96 + 1

= 97

Answer:

97

Step-by-step explanation:

Given the following question:

\(48(2)+1\)

In order to find the answer, we apply the rule where 48(2) = 48 × 2

\(48(2)+1\)
\(48(2)=48\times2\)
\(48\times2=96\)
\(96+1\)
\(96+1=97\)
\(=97\)

Hope this helps.

Answer:

-5/3

Step-by-step explanation:

trust me bro

Answer:

Use desmos

Step-by-step explanation:

Basically it is a graphing calculator put your points

Answer:

2) Option D is correct.

f = (15m + 35)

3) Check Explanation

Step-by-step explanation:

The diagram of the question is presented in the attached image to this question

English Translation

Efraín has a rectangular land whose area is (120m² + 280m) as shown in the figure. According to these data, how much does side f measure?

a) 12 m² + 35

b) 15 m + 35 cm

c) 12 m + 35

d) 15 m + 35

3.- A child made four plasticine figures: two quadrangular prisms and two cylinders. In which figure did you occupy the most amount of modeling clay? JUSTIFY YOUR ANSWER

Solution

2) The area of a rectangle is given as

Area = Length × Breadth

Area = (120m² + 280m)

Length = f

Breadth = 8m

(120m² + 280m) = f × 8m

f = (120m² + 280m)/(8m)

f = (15m + 35)

Option D is correct.

f = (15m + 35)

3) For the second question, the images for the question and the dimensions of the figures aren't provided, hence, a very accurate answer can be provided. But without This, we can only speculate.

The figure that would use the most clay is the figure whose volume is the highest if the volumes of each of the figures are calculated.

Volume of a quadrangular prism = (Area of base) × (perpendicular height)

Volume of a cylinder = (Area of base) × (Height) = (πR² × H) = πR²H

So, it is in the evaluation of these volumes that the solution of this question is obtained.

Hope this Helps!!

Step-by-step explanation:

To determine the value of x that satisfies the expression x^2 + 3x - 5 when x = 9, we simply substitute 9 for x and evaluate the expression:

9^2 + 3(9) - 5 = 81 + 27 - 5 = 103

Therefore, when x = 9, the expression x^2 + 3x - 5 evaluates to 103.

rate my answer, please.

Answer: 242.2 in2

Step-by-step explanation: this would be the surface area/area.

Using Dz and D'z to denote partial derivatives of z with respect to x and y respectively, the equation becomes (D^2 -1)z=0 or (D-1)(D+1)z=0. Put (D+1)z = u(x,y). Then we have (D-1)u =0. The general solution of this equation is u(x,y)=A(y).e^x, where A(y) is an arbitrary function of y, because we have integrated a partial derivative of u with respect to x, and we have to take an arbitrary function of y instead of an arbitrary constant.

Now the original equation becomes

(D+1)z=A(y)e^x and we integrate it with respect to x, giving ze^x = Int[e^x.A(y).e^x.dx] + B(y), (for another arbitrary function B(y)) = (1/2)e^(2x).A(y) +B(y) or

z(x,y) = B(y)e^(-x)+[A(y)e^x]/2 or

z = B(y)e^(-x) + C(y)e^x. Hence putting x=0,

e^y = B(y)+C(y) and Dz= -e^(-x)B(y) + e^x.C(y). Again putting x=0, we get 1 = -B(y) + C(y). Solving the two equations in B(y) and C(y), we have C(y) = (1+e^y)/2, and B(y) = (e^y -1)/2. Hence the required solution is

z = [(e^y -1).e^(-x)]/2 + [(e^y +1).e^x]/2 =

z = (e^y)cosh(x) + sinh(x).

The velocity of the object is 108.8 m/s and the object will take 0.45 seconds to fall 50 feet.

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

It is given that:

The time = 3.4 seconds

There is no air resistance.

v = 32t

v = 32(3.4)

v = 108.8 m/s

T = D/S = 50/108.8 = 0.45 seconds

Thus, the velocity of the object is 108.8 m/s and the object will take 0.45 seconds to fall 50 feet.

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Answer:

a)9. b) 12

Step-by-step explanation:

a) | -6 -3 | .

-6-3 = -9

|-9| =9

b) | 0 - 12 |.

0-12=-12

|-12|=12

Answer:

Step-by-step explanation:

There are four different color marbles.

Probability of blue:

Next, there are 3 marbles left in the bag since no replacement.

Probability of red after blue:

The probability of these two steps in order:

Complement of R is:

When listing all the pairs of factors for a particular term, the factorization process is used.

This process is fundamental in number theory and is used to break down composite numbers into their simplest building blocks: prime numbers.

For example, if we want to find all pairs of factors for the number 24, we could follow these steps:

Start with 1 and the number itself (in this case 24), as these are always factors.

Check if 2 divides 24 evenly. If it does, then 2 and 24/2 (which is 12) are a pair of factors.

Continue this process with increasing numbers. Check 3 (yes, it works, with the pair being 3 and 8), 4 (yes, with the pair being 4 and 6), and so on.

When the numbers you're testing exceed the square root of the original number (approximately 4.9 for 24), you can stop, as you'll have found all pairs.

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Given:

At a certain time, a 5 m vertical pole casts 2 m shadow.

Required:

What is the angle of elevation of the sun?

Explanation:

We will first draw the figure

We will use trigonometric ratio:

Now,

Answer:

Hence, answer is above.

Answer:

The null and alternative hypothesis for this study are:

\(H_0: \mu=18500\\\\H_a:\mu< 18500\)

The null hypothesis is rejected (P-value=0.004).

There is enough evidence to support the claim that the average cost of tuition plus room and board at small private liberal arts colleges is  less than $18,500 per term.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the average cost of tuition plus room and board at small private liberal arts colleges is  less than $18,500 per term.

Then, the null and alternative hypothesis are:

\(H_0: \mu=18500\\\\H_a:\mu< 18500\)

The significance level is 0.05.

The sample has a size n=150.

The sample mean is M=18200.

The standard deviation of the population is known and has a value of σ=1400.

We can calculate the standard error as:

\(\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{1400}{\sqrt{150}}=114.31\)

Then, we can calculate the z-statistic as:

\(z=\dfrac{M-\mu}{\sigma_M}=\dfrac{18200-18500}{114.31}=\dfrac{-300}{114.31}=-2.624\)

This test is a left-tailed test, so the P-value for this test is calculated as:

\(P-value=P(z<-2.624)=0.004\)

As the P-value (0.004) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the average cost of tuition plus room and board at small private liberal arts colleges is  less than $18,500 per term.

The amount of the loss exists 1350.

Amount of Loss means an amount equivalent to the outstanding balance of the principal amount, less any amounts recognized by perfecting rights under a security agreement, together with such interest as the executive director shall permit, to a maximum of such interest as may be permitted by rule.

Given: Mr. Black purchased a television set for $450.00. He subsequently sold the television set at a defeat of 30%.

From the given information, we get

\($4500\cdot \frac{30}{100}\)

simplifying, we get

\($4500\cdot \frac{30}{100}\)

= 1350

Therefore, the amount of the loss exists 1350.

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Answer:

x > 8

Step-by-step explanation:

You can start y multiplying both sides by 4 to cancel out the division by 4:

x/4 > 2

*4      *4

x > 8

Answer:

x > 8

Step-by-step explanation:

x/4 > 2

=> x > 2 × 4

=> x > 8

Answer:

\(\huge\boxed{\sf{Ordered\:Pair:\:(-6, 3)}}\)

Step-by-step explanation:

Hello.

We need to find the coordinates of Denver.

Let's take a look at the coordinate plane and see if we can determine the coordinates of Denver.

The x-coordinate comes first. Look at the x-axis.

The x-coordinate of Denver is

-6

The y-coordinate of Denver is

3

The ordered pair is

(-6, 3)

I hope it helps.

Have a nice day.

\(\boxed{imperturbability}\)

hii good morning the answer is (-6, 3)

Answer:

The answer is 216 cubic inch

Step-by-step explanation:

Now,

l² = 36

l = √36 inch

l = 6 inch

Here, The side of cube is 6 inch.

Now, Formula of Volume = V = l³

V = 6³

V = 6 × 6 × 6 inch

V = 216 cubic inch

Thus, The volume of the cube is 216 cubic inch.

-TheUnknownScientist 72

Answer:

C,-7,-6,4,10

Step-by-step explanation:

I guessed and that is all I did

Answer:

The scientific notation is a method of writing very large or very small numbers in a more compact and easy to read format. It is expressed in the form of a x 10^n, where "a" is a number between 1 and 10, and "n" is an integer.

To write 464000 in correct scientific notation, we need to move the decimal point to the left until we get a number between 1 and 10. We count the number of places we moved the decimal point, and that will be the exponent of 10.

So, we can write 464000 as:

4.64 x 10^5

Therefore, the correct scientific notation of 464000 is 4.64 x 10^5.

Step-by-step explanation:

Answer:

All of the elements of X are elements of U.

Step-by-step explanation:

The expressions defined for all real number are written as for

Information made available in the question include

function s(x) = x - 1

function t(x) = 2x²

rewriting the expression for (s + t) (x)

=  x - 1 +  2x²

= 2x² + x - 1

rewriting the expression for  (s x t) (x)

=  (x - 1) *  2x²

= 2x³ - 2x²

rewriting the expression for  (s - t) (3)

=  (x - 1) - 2x²

= -2x² + x - 1

substituting the value of x = 3

= -2(3)² + 3 - 1

= -6 + 3 - 1

= -4

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Step-by-step explanation:

The lines or plains which contain R:

The additional acres that the parks occupy will be 33.75 acres.

A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.

In this case, the additional acres that the parks occupy will be:

= (12.5 × 3) - 3.75

= 33.75 acres.

Note that the information is incomplete and the complete information is given below.

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A city is building 3 parks in a new subdivision. Each park will be 1.25 acres. How many total acres will the 3 parks be? 3.75 acres

The city acquired more land next to the subdivision. If it decides to make each park 12.5 acres, how many additional acres would the parks occupy?

Answer:

x-intercept = 3.6

y-intercept = -1.2

Step-by-step explanation:

The acceleration of the car is 8 m/s^2.

The figure shown in the question is the distance-time graph of a muscle car accelerating from a standstill. The table lists the coordinates of points on the graph.The following observations can be made from the graph and the table: The car is at rest at time t=0 and at distance x=0. It then starts accelerating, and its speed increases uniformly with time. The slope of the distance-time graph is the velocity of the car.

Since the velocity is increasing uniformly, the slope of the graph is a straight line with a positive slope. The area under the graph between two points gives the displacement of the car during that time interval. The displacement can be calculated as the product of the average velocity and the time interval. Using the coordinates in the table, we can calculate the average velocities for each time interval and the displacement during that interval.

(a) The average velocity of the car between t=0 and t=2 is equal to the slope of the graph between the two points (0,0) and (2,32). This can be calculated as the difference in distance divided by the difference in time:Average velocity = (32 - 0) / (2 - 0) = 16 m/sThe displacement during this time interval is given by the area under the graph between the two points:Displacement = (1/2) x 32 x 2 = 32 m

(b) The acceleration of the car is given by the slope of the velocity-time graph. Since the velocity is increasing uniformly with time, the velocity-time graph is also a straight line with a positive slope. The slope of the velocity-time graph is equal to the acceleration. We can calculate the slope of the velocity-time graph between two points using the coordinates in the table. For example, the slope between t=0 and t=2 is given by the difference in velocity divided by the difference in time:Slope = (16 - 0) / (2 - 0) = 8 m/s^2

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