what are disadvantages of using graphs and diagrams to find a variable

Answer:

Frequently, we know the new amount and the percent change and need to know the original amount. We found that a $600 TV on sale for 30% off, cost $420 on sale. We might think, that to find the original cost of the TV that has a sale price of $420 after a sale of 30% off, we could just take 30% of the $420 cost and add it back to the $420 to find the original cost.

30% of $420 is 0.30($420) = $126 and $420 + $126 = $546.

Or, 130% of $420 is 1.3($420) = $546.

Notice that this is not the $600 original list price with which we started.

Step-by-step explanation:

Answer:

365°, (65 +20t)°

Step-by-step explanation:

Temperature of oven

= initial temperature + 20°(number of minutes passed after it was turned on)

Temperature of oven after 15 minutes

= 65 +20(15)

= 65 +300

= 365°

Temperature after t minutes

= (65 +20t)°

Answer:

The correct answer is B. 20,000

Step-by-step explanation:

To determine the man's total monthly salary, we can set up a simple equation using the given information. Let's denote the total monthly salary as "x."

According to the information provided, 33% of the man's monthly salary is equal to Birr 6600. We can express this relationship mathematically as:

0.33x = 6600

To solve for "x," we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 0.33:

x = 6600 / 0.33

Evaluating the right side of the equation gives:

x ≈ 20,000

Therefore, the man's total monthly salary is approximately Birr 20,000.

Hence, the correct answer is B. 20,000.

The last option is the answer

X =3

0.08 = 8/100 = (8 ÷ 4)/(100 ÷ 4) = 2/25

Option B is the lowest term fraction form for the decimal 0.08, which is 2/25.

The representation of a portion of a whole using fractions. In the format 1/2, two numbers are written side by side, separated by a line. Numerator and denominator are terms used to describe the top and bottom numbers, respectively. The numerator indicates the number of equally sized pieces you have, while the denominator indicates how many equal sections the entire has been divided into.

You have consumed 3/8 of a pizza, for instance, if it was sliced into 8 equal pieces and you ate 3 of them.

By dividing both the numerator and denominator by their greatest common factor, we can simplify the fraction 0.08 and represent it in lowest terms (GCF). The GCF of 8 and 100 in this situation equals 4. Hence, we divide both 8 and 100 by 4:

0.08 = 8/100 = (8 ÷ 4)/(100 ÷ 4) = 2/25

As a result, option B, 2/25, is the decimal 0.08 expressed in lowest terms.

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Answer:

Step-by-step explanation:

Here, 4 teams given. Each teams has played every other teams 4 times.

so here we will name each team

team a = bulls

team b = lakers

team c = knickers

team c = warriors

So to find total number of games, we know that Bulls played with the other 3 teams by 4 times that is (4×3) = 12, Lakers played with the other two teams by 4 times that is (4×2) = 8, Knicks played with Warriors 4 times.

Therefore, total number of games = .

Total points given, for Bulls = 22, for Lakers = 19, for Knickers = 14, for Warriors = 12.

So sum of total points =

For a win a team earned 3 points and for a tie two teams win 1 point.

That means for tie total point = 1+1 = 2.

Let's take total number of game which ended as win played be x and total number of game which ended as a tie be y.

We have got total number of games is 24.

So we can write the equations as,

.......Equation 1

And also we have got total number of points is 67. So the equation is,

.......Equation 2

From equation 1, if we move x to the right side we will get,

Now let's substitute this value in equation 2, to get the value of x. By substituting the value we will get,

We will expand 2 now.

We will move 48 to the other side by subtracting it from both sides. We will get,

So the number of games which ended as a win = 19

The number of games which ended as a tie = 24 -19 =5  

So we have got the required answers.

u can just check the answer and this answer is copy righted from its rightful owner

To solve this problem, we need to use the concepts of orbital mechanics and gravitational potential energy.

Part A

The velocity of the satellite in the inner circular orbit is given by the equation:

v = sqrt(GM/r)

where G is the gravitational constant, M is the mass of the earth, and r is the radius of the orbit. Substituting the given values, we get:

v = sqrt(6.674 x 10^-11 N*m^2/kg^2 * 5.97 x 10^24 kg / (260 x 10^3 m))

v = 7760 m/s

Part B

The velocity of the satellite at the low point of the elliptical orbit can be found using the equation:

v = sqrt(2GM/r1 - 2GM/r2)

where r1 and r2 are the radii of the inner and outer circular orbits, respectively. Substituting the given values, we get:

v = sqrt(2 * 6.674 x 10^-11 Nm^2/kg^2 * 5.97 x 10^24 kg / (260 x 10^3 m) - 2 * 6.674 x 10^-11 Nm^2/kg^2 * 5.97 x 10^24 kg / (35,900 x 10^3 m))

v = 1.004 x 10^4 m/s

Part C

The work done by the rocket motor to transfer the satellite from the circular orbit to the elliptical orbit is given by the difference in gravitational potential energy between the two orbits. This can be calculated using the equation:

W = mgh = m * G * M/r

where m is the mass of the satellite, g is the acceleration due to gravity, h is the height of the orbit above the earth's surface, and r is the radius of the orbit. Substituting the given values, we get:

W = 1000 kg * 6.674 x 10^-11 Nm^2/kg^2 * 5.97 x 10^24 kg / (260 x 10^3 m) - 1000 kg * 6.674 x 10^-11 Nm^2/kg^2 * 5.97 x 10^24 kg / (35,900 x 10^3 m)

W = 3.80 x 10^9 J

Part D

The velocity of the satellite at the high point of the elliptical orbit can be found using the equation:

v = sqrt(GM/r1 + GM/r2)

Substituting the given values, we get:

v = sqrt(6.674 x 10^-11 Nm^2/kg^2 * 5.97 x 10^24 kg / (260 x 10^3 m) + 6.674 x 10^-11 Nm^2/kg^2 * 5.97 x 10^24 kg / (35,900 x 10^3 m))

v = 2.24 x 10^4 m/s

Part E

The velocity of the satellite in the outer circular orbit can be found using the equation in Part A, with the radius of the orbit set to 35,900 km. This gives:

v = sqrt(6.674 x 10^-11 N*m^2/kg^2 * 5.97 x 10^24 kg / (35,900 x 10^3 m)) v = 2.74 x 10^3 m/s

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Slope:

M = -1

Slope intercept-form:

y = -x + 1

Answer:

27 FT

Step-by-step explanation:

Area of square = L × W

= 4.5 ft × 4.5 ft

= 20.25 ft

Area of parallelogram = bh (base times height)

= 1.5 ft × 4.5 ft

= 6.75 ft

Total area = 20.25 ft + 6.75 ft

= 27 ft

HOPE THIS HELPED

I think that for a its 1.12 and for b its 39424

100 + 12 = 112
112/100 = 1.12

35200 * 1.12 = 39424

the standard deviation of the number of correct answers in the quiz is approximately 4.47.

To calculate the standard deviation of the number of correct answers in a quiz with 80 true or false questions, we need to use the binomial distribution formula.

In this case, the probability of guessing correctly is 0.5, as there are only two possible options (true or false).

The formula for the standard deviation of a binomial distribution is given by sqrt(n * p * (1 - p)), where n is the number of trials and p is the probability of success. In this case, the number of trials is 80 and the probability of success is 0.5.

Plugging these values into the formula, we get: sqrt(80 * 0.5 * (1 - 0.5)) Simplifying further: sqrt(40 * 0.5) sqrt(20) So, the standard deviation of the number of correct answers in the quiz is approximately 4.47.

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a) Proof by contradiction is different of traditional proof because it accepts a single example showing that a statement is either false or true, instead of having the need to derive a general relationship for all input values.

b) As the sum of the measures is of 180º, and one of the measures is of 100º, hence the measure of angle G is given as follows: m < G = 80º.

When two angles are supplementary, we have that the sum of their measures is of 180º.

The supplementary angles for this problem are given as follows:

Item b:

Hence the measure of angle G is obtained as follows:

m < F + m < G = 180º

m < G = 80º.

Item a:

Simply obtaining the angle measure is enough to prove that the statement is true by contradiction.

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Answer: 6(u-2)+2=6u-10

Step-by-step explanation:

Then, any value of u makes the equation true.

The other side of this equation 6 (u-2) + 2 is 6u - 10 and is true for all values of u.

An assertion that two mathematical expressions have equal values is known as an equation. An equation simply states that two things are equal. The equal to sign, or "=," is used to indicate it.

Given:

6 (u-2) + 2

Simplify the above expression as shown below,

6 × u - 6 × 2 + 2  (Use distributive property)

6u - 12 + 2    (Add constant terms)

6u - 10

Thus, 6 (u-2) + 2  = 6u - 10

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The ordered pair (2,3) is not a solution of the system

From the question, we have the following parameters that can be used in our computation:

−8x + 4y > 3

6x - 7y < −5

The solution is given as

(2, 3)

Next, we test this value on the system

So, we have

−8(2) + 4(3) > 3

-4 > 3 --- false

This means that (2,3) is not a solution of the system

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The 8% of items with the shortest lifespan will last less than 2.08 years.

The question tells us that the lifespan of the items follows a normal distribution with a mean (μ) of 2.7 years and a standard deviation (σ) of 0.5 years. In other words, we can model the distribution of lifespans using the formula for a normal distribution:

f(x) = (1 / (σ × √(2π))) × exp(-((x - μ)² / (2σ²)))

where x is the lifespan we want to find, f(x) is the probability density function, and exp is the exponential function.

Now, we want to find the lifespan that corresponds to the 8th percentile, or the value at which 8% of the items have a shorter lifespan. To do this, we need to find the z-score that corresponds to the 8th percentile.

The z-score is a measure of how many standard deviations a value is away from the mean, and can be calculated using the formula:

z = (x - μ) / σ

where x is the value we want to find the z-score for. We can rearrange this formula to solve for x:

x = z × σ + μ

To find the z-score that corresponds to the 8th percentile, we can use a standard normal distribution table or a calculator that can look up z-scores for us. For example, we can use the "invNorm" function in Excel to find that the z-score for the 8th percentile is approximately -1.41.

Now, we can plug in the values we know into the formula we derived earlier to find the lifespan (x) that corresponds to this z-score:

x = -1.41 × 0.5 + 2.7 = 2.08 years.

Therefore, the 8% of items with the shortest lifespan will last less than 2.08 years.

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The 85th Percentile of the problem is that; the speed at or below which 85 percent of all vehicles are observed to travel under free-flowing conditions past a monitored point.”

According to statistics, Percentile is defined as a score below which a given percentage of scores in its frequency distribution will fall.

Now, we are told that According to the Los Angeles Times, speed limits on California highways are set at the 85th percentile of vehicle speeds on those stretches of road.

From the above, it means that the 85th percentile speed is defined as, the speed at or below which 85 percent of all vehicles are observed to travel under free-flowing conditions past a monitored point.

We can also say that this is the speed at which only 15% of traffic violate on average.

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Answer:

28

Step-by-step explanation:

\(number \: of \: wooden \: blocks \\ = \frac{volume \: of \: box}{volume \: of \: one \: wooden \: block} \\ = \frac{11 \times 10 \times 7}{3 \times 3 \times 3} \\ = \frac{770}{27} \\ = 28.51 \\ \)

Thus, there would be 28 full wooden blocks in the box.

Answer: 28 wooden blocks

Step-by-step explanation: First you must find the volume of the box with the formula: L × W × H so, 10 × 11 × 7 = 770 inches³. Second you must find the volume of the wooden blocks with the formula: x³ ( 'x' is the value of the side of the cube ) so, 3 × 3 × 3 = 27 inches³. Now you can divide the volume of the box by the volume of the wooden block = 770 ÷ 27 = 28.518...*

* Always only count the whole numbers.

Impulse = ∫[0 to 0.800] f(t) dt

The force function f(t), we need more information about the acceleration during the contact time.

To model the force exerted by the woman on the floor, we can use the principles of conservation of energy.

When the woman jumps down to the floor, her initial potential energy is converted into kinetic energy as she accelerates towards the ground. At the moment of contact with the floor, all her initial potential energy is converted into kinetic energy. We can calculate the initial potential energy as:

PE_initial = m×g× h

Where:

m = mass of the woman = 68.0 kg

g = acceleration due to gravity = 9.8 m/s²

h = height from which she jumps = 0.740 m

PE_initial = 68.0 kg × 9.8 m/s² ×0.740 m

Next, when the woman jumps back up, she converts all her kinetic energy into potential energy. At the maximum height, all the kinetic energy is converted into potential energy. We can calculate the maximum height reached using the conservation of energy:

PE_final = KE_initial

Where:

PE_final = potential energy at maximum height (when she jumps back up)

KE_initial = initial kinetic energy (when she jumps down)

PE_final = m×g×h_max

Since her initial kinetic energy is equal to her initial potential energy:

KE_initial = PE_initial

Therefore:

m× g×h_max = m×g ×h

We can solve for h_max:

h_max = h

So, the maximum height reached during her jump back up is equal to the height from which she initially jumped down.

During the time interval when the woman is in contact with the ground (0 < t < 0.800 s), the force she exerts on the floor can be modeled using the function f(t). Since the force is exerted in the opposite direction to her motion, the force will be negative when she jumps back up.

If we assume that the force exerted by the woman on the floor is constant during the contact time (approximation), we can calculate the magnitude of the force using the impulse-momentum principle:

Impulse = Change in momentum

The change in momentum is given by:

Change in momentum = m×(v_final - v_initial)

Since the woman jumps back up to her initial height, the final velocity is zero (v_final = 0). The initial velocity can be calculated using the equation of motion:

v_final² = v_initial²+ 2×a × d

Where:

v_final = final velocity = 0 m/s (when she jumps back up)

v_initial = initial velocity

a = acceleration during contact time

d = distance traveled during contact time = h

Solving for v_initial:

0² = v_initial² + 2×a × h

v_initial² = -2 × a× h

v_initial = √(-2× a×h)

The negative sign indicates that the velocity is in the opposite direction of motion.

Now, the impulse can be calculated as:

Impulse = m ×(0 - v_initial) = -m ×v_initial

Since impulse is equal to the integral of force with respect to time, we have:

Impulse = ∫[0 to 0.800] f(t) dt

Therefore:

-m× v_initial = ∫[0 to 0.800] f(t) dt

To find the force function f(t), we need more information about the acceleration during the contact time.

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"The mean will be higher than the median in any distribution that" ;

has a positively skewed distribution

A positively skewed distribution is one in which the majority of data values are clustered towards the lower end of the range, while the rest of the values are spread out towards the higher end of the range. As a result, the mean (the average of all the data values) will be higher than the median (the middle value of the data set).

This is because the mean is affected by the higher values in the distribution, while the median is not.

Positively skewed distributions are common in real-world data sets and are often seen in income distributions, stock market returns, and other economic data.

For example, a distribution of incomes may have a few very high earners pushing up the mean, while the majority of people make much lower amounts, resulting in a median that is lower than the mean.

Similarly, stock market returns may have a few very large returns that pull the mean up, while the majority of returns are much lower, resulting in a median that is lower than the mean.

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Answer:

0.63661977

Step-by-step explanation:

I dont know if I'm answering this right, but to find the radius you'd use the formula C/2π, and im gonna assume 4 is your circumference

Answer:

Step-by-step explanation:

Your difference of perfect cubes formula is given as

\((a-b)(a^2+ab+b^2)\) and you have already correctly identified a as \(5q^2\)  and b as \(r^2s\). So we fill in the formula as follows:

\((5q^2-r^2s)((5q^2)^2+(5q^2)(r^2s)+(r^2s)^2)\) and we simplify.  Remember that

\((5q^2)^2=(5)^2*(q^2)^2=25q^4\). It's important that you remember the rules.

Simplifying then gives us

\((5q^2-r^2s)(25q^4+5q^2r^2s+r^4s^2)\)

That's it, so fill it in however you need to on your end. Learn the patterns for the sum and difference of cubes and it will save you a ton of headaches...promise!!

Answer:

x answers -7/2

Step-by-step explanation:

just use a algebra calculator  

The solution of the given system of equations is x = -4, y = 5 and z = 2 is the answer.

The system of equations given below:x + 2y + 3z = 11;2x + 4y + 5z = 21;3x + 5y + 6z = 27.

Here, we will solve this system of equations using inverse of the matrix method as follows:

We can write the given system of equations in matrix form as AX = B where, A = [1 2 3; 2 4 5; 3 5 6], X = [x; y; z] and B = [11; 21; 27].

The inverse of matrix A is given by the formula: A-1 = (1/ det(A)) [d11 d12 d13; d21 d22 d23; d31 d32 d33]  where,

d11 = A22A33 – A23A32 = (4 × 6) – (5 × 5) = -1,

d12 = -(A21A33 – A23A31) = -[ (2 × 6) – (5 × 3)] = 3,

d13 = A21A32 – A22A31 = (2 × 5) – (4 × 3) = -2,

d21 = -(A12A33 – A13A32) = -[(2 × 6) – (5 × 3)] = 3,

d22 = A11A33 – A13A31 = (1 × 6) – (3 × 3) = 0,

d23 = -(A11A32 – A12A31) = -[(1 × 5) – (2 × 3)] = 1,

d31 = A12A23 – A13A22 = (2 × 5) – (3 × 4) = -2,

d32 = -(A11A23 – A13A21) = -[(1 × 5) – (3 × 3)] = 4,

d33 = A11A22 – A12A21 = (1 × 4) – (2 × 2) = 0.

We have A-1 = (-1/1) [0 3 -2; 3 0 1; -2 1 0] = [0 -3 2; -3 0 -1; 2 -1 0]

Now, X = A-1 B = [0 -3 2; -3 0 -1; 2 -1 0] [11; 21; 27] = [-4; 5; 2]

Therefore, the solution of the given system of equations is x = -4, y = 5 and z = 2.

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The estimated regression function in the linear regression through the origin model is given by ŷ = βx, where ŷ is the predicted value of the response variable, x is the value of the predictor variable, and β is the estimated coefficient.

To estimate 31 with a 90 percent confidence interval, we need to calculate the confidence interval for the estimated regression coefficient β. The confidence interval can be obtained using the formula: β ± t(α/2, n-1) * SE(β), where t(α/2, n-1) is the critical value from the t-distribution with n-1 degrees of freedom, and SE(β) is the standard error of the estimated coefficient.

Interpretation of the interval estimate: The 90 percent confidence interval provides a range within which we can be 90 percent confident that the true value of the coefficient β lies. It means that if we were to repeat the sampling process multiple times and construct 90 percent confidence intervals, approximately 90 percent of those intervals would contain the true value of the coefficient β. In this case, the interval estimate for 31 provides a range of plausible values for the effect of the predictor variable on the response variable.

To predict the service time on a new call in which six copiers are to be serviced, we can substitute the value of x = 6 into the estimated regression function ŷ = βx. This will give us the predicted value of the response variable, which in this case is the service time.

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Answer:

The opening is a rectangle

AC = 18 in

BD = 18 in

Step-by-step explanation:

9+9 = 18

since the diagonals are equal, it is a rectangle.

Answer: a.) 3

Step-by-step explanation: An acute triangle (or acute-angled triangle) is a triangle with three acute angles (less than 90°).

Hello! I'm glad you asked my name is ✰Tobie✰ and

I'll walk you through step by step so that you can comprehend this question a bit better !

How many acute angles are in an acute triangle?

⋆a.3⋆

b.2

c.1

d.0

__________________________________________

⋆E/X/P/L/A/N/A/T/I/O/N⋆

Your answer should be A.3 here's why.

Triangles have 3 sides the same applies if the triangle is an acute or obtuse

triangle or any kind of triangle  .An acute triangle is a  triangle with three

acute angles (less than 90°)Any triangle over 90° is not an acute triangle .

Any triangle with one angle that is greater than 90° is considered a obtuse triangle.

Hope this helps!

☆Take care!

(I also hope you have a great rest of your day! <3)

-Tobie <3

ʕ •ᴥ•ʔ

Answer:

I got 53% but I'm not sure

Step-by-step explanation:

if 53% of students take the bus, then 47% of students DON'T.

25% (the percent of non-riding students who were late) of 47 is about 53%

Answer: The answer is B)