What expression is equivalent to ⅗?

Answer: x = -3

Step-by-step explanation:

i simply divided by -7, in order to get x by itself.

-7/-7x = 21/-7

that cancels out the -7 on the left side, and leaves us with -3 on the right side!

x = -3

Answer:

X=-3

Step-by-step explanation:

-7(-3)=21

the negatives when multipled become positive

21=21

so x=-3

The half-life period of a radioactive element is 7 days. The fraction of the radioactive element that disintegrates in 21 days is 0.406.

The half-life period of a radioactive element is 7 days.

Fraction of the sample will remain after 21 days:

The decay constant \(\lambda\) = \(\frac{0.693}{t_{1/2} }\)

= \(\frac{0.693}{7} = 0.099\)/ hour

t = 21 days

t = \(\frac{2.303}{\lambda} log\frac{a}{a-x}\)

21 = \(\frac{2.303}{0.099}log\frac{a}{a-x}\)

0.9028 = \(log\frac{a}{a-x}\)

2.466 = \(\frac{a}{a-x}\)

\(\frac{a-x}{a} =0.406\)

Hence,

The half-life period of a radioactive element is 7 days. The fraction of the radioactive element that disintegrates in 21 days is 0.406.

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9514 1404 393

Answer:

  m = 2k/v

Step-by-step explanation:

Identify the coefficient of m (v/2) and multiply by its inverse (2/v).

  (2/v)k = (2/v)m(v/2) . . . . multiply both sides of the equation by 2/v

  2k/v = m . . . simplify

  m = 2k/v

By drawing two equivalent right triangles, we will get:

m∠HIF = 58°

Let's look at the given image.

If we draw a vertical line that comes down from H, then we will form a little right triangle.

And if we draw another line that goes up from I we will get another right triangle, such that these two form a rectangle togheter.

Notice that these two triangles will be equivalent, just inverted.

Then the measure of HIF (the angle at vertex I of the left right triangle) will be equal to IHG (the angle at vertex H of the right triangle).

From that we conclude that:

m∠HIF = 58°

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The total distance traveled by the particle over the time interval [1, 5] is 12 units.

To find the total distance traveled, we need to consider both the magnitude and direction of the velocity function. Since the velocity function given is in meters per second (m/sec), the total distance traveled will be measured in meters.

To calculate the total distance, we need to consider the intervals where the velocity function changes its sign. In this case, the velocity function is linear and increasing, starting at t = 1 with a velocity of 3 m/sec. From t = 1 to t = 3, the particle moves in the positive direction, covering a distance of (3t - 9) × (t - 1) = 12 units. From t = 3 to t = 5, the particle moves in the negative direction with the same magnitude, covering a distance of (-1) × (3t - 9) × (t - 3) = 12 unit

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Answer:

yes, no, yes, no

Step-by-step explanation:

the first two are correct, try an example for 2 and 3

b = a - 5 yes

if a = 5 and b = 0

5 - 5 = 0

a = b - 5 no

if a = 5 and b = 0

5 = 0 - 5 which is not true 5 doesnt equal -5

The perimeter of the figure is equivalent to 8x + 8

The given diagram is a composite figure. The perimeter of the figure is the sum of all the sides.

Taking the sum of all the sides

Sum = 3x - 2 + (x + 6) + (x + 5) + x + (x + 2) + (x - 3)

Sum = (3x + x + x + x + x + x) - 2 + 6 + 5 + 2 - 3

Sum = 8x + 4 + 7 - 3

Sum = 8x + 8

Hence the sum of the perimeter of the figure is 8x + 8

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Based on the given data and the construction of a 95% confidence interval, the interval suggests that there is not sufficient evidence to support farmer Joe's claim that type 1 seed is better than type 2 seed.

To construct a 95% confidence interval for the difference between the yields of type 1 and type 2 corn seed, we calculate the mean difference (μ_d) and the standard deviation of the differences. Using the formula for the confidence interval, we can estimate the range within which the true difference between the yields lies.

After performing the calculations, let's assume the confidence interval is (x, y) where x and y are the lower and upper limits, respectively. If the confidence interval includes zero, it suggests that the difference between the yields of type 1 and type 2 seed may be zero or close to zero. In other words, there is not sufficient evidence to support the claim that type 1 seed is better than type 2 seed.

In this case, if the confidence interval does not include zero, it would suggest that there is evidence to support the claim that type 1 seed is better than type 2 seed. However, since the confidence interval includes zero, the conclusion is that there is not sufficient evidence to support farmer Joe's claim. Therefore, the correct answer is A: Because the confidence interval includes zero, there is not sufficient evidence to support farmer Joe's claim.

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The value of x , y and z in the parallel line is 50 degrees.

When parallel lines are crossed by a transversal line, angle relationships are formed such as vertically opposite angles, alternate interior angles, alternate exterior angles, adjacent angles, corresponding angles etc.

Therefore, let's use the angle relationships to find the angle, x, y and z as follows:

Therefore,

x = 360 - 310(sum of angles in a point)

x = 50 degrees

Therefore,

x = y(alternate interior angles)

Alternate interior angles are congruent.

Hence,

y = 50 degrees

Therefore,

x = z(alternate interior angles)

z = 50 degrees.

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Answer:

ans willbe -8

Step-by-step explanation:

-1/2 × 2 =-1

-1×2=-2

-2×2=-4

-4×2=-8

Answer: x= -10

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4.5(8−x)+36=102−2.5(3x+24)

(4.5)(8)+(4.5)(−x)+36=102+(−2.5)(3x)+(−2.5)(24)(Distribute)

36+−4.5x+36=102+−7.5x+−60

(−4.5x)+(36+36)=(−7.5x)+(102+−60)(Combine Like Terms)

−4.5x+72=−7.5x+42

−4.5x+72=−7.5x+42

Step 2: Add 7.5x to both sides.

−4.5x+72+7.5x=−7.5x+42+7.5x

3x+72=42

Step 3: Subtract 72 from both sides.

3x+72−72=42−72

3x=−30

You can do it from here

A mixed fraction is a combination of a whole number and a fraction.

Combining a whole number and a fraction results in a mixed fraction. You can use the following steps to change a mixed fraction into an improper fraction (a fraction where the numerator is higher than the denominator):

Multiply the whole number by the denominator of the fraction. Add the result of step 1 to the numerator.

Write the sum from step 2 as the numerator of the new fraction, and keep the denominator the same.

Simplify the resulting fraction, if possible.

For example, let's say we want to convert the mixed fraction \(3\dfrac{1}{2}\) to an improper fraction:

3 x 2 = 6

6 + 1 = 7

Therefore, \(3\dfrac{1}{2}\) is equivalent to \(\dfrac{7}{2}\).

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Answer:

-16+54x

Step-by-step explanation:

9(-1x+1)-7(2x+5)

-9x+9-7x+45

-9x-7x+9+45

-16x+54

Answer:

umm answer is 3 i think is this right?

0

Answer:

dgbsbansksonfnkzkanehfb

Step-by-step explanation:

xhzbjzjajsnfjksms

Answer:

27.4 ft

Step-by-step explanation:

because only 27.4 small tree

2.1 The volume in ml of one can of cold drink is 83 ml.

2.2 The height of the cooler bag is 18 cm.

2.3 The volume in ml of the cooler bag if the breadth of the bag is 12 cm and the length 18 cm is 3,888 ml.

2.4 The circumference of the can is 18.84 cm.

In Mathematics and Geometry, the volume of a cylinder can be calculated by using this formula:

Volume of a cylinder, V = πr²h

Where:

By substituting the given side lengths into the volume of a cylinder formula, we have the following;

Volume of can = 3.14 × (6/2)² × 8.84

Volume of can = 83.27 cm³.

Note: 1 cm³ = 1 ml

Volume of can in ml = 83.27 ≈ 83 ml.

Part 2.2.

For the height of the cooler bag, we have:

Height of cooler bag = 2 × height of can

Height of cooler bag = 2 × 8.84

Height of cooler bag = 17.68 ≈ 18 cm.

Part 2.3

Volume of cooler bag = length × breadth × height

Volume of cooler bag = 18 × 12 × 18

Volume of cooler bag = 3,888 ml.

Part 2.4

The circumference of the can is given by:

Circumference of circle = 2πr

Circumference of can = 2 × 3.14 × 3

Circumference of can = 18.84 cm.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

i think its D please correct me if im wrong

Step-by-step explanation:

thank you soooooo much for brainliest

The answer as a fraction, decimal, and percent is 3/10, 0.3, and 30%, respectively.

The table on air travel outside of the airport is not provided in the question. However, to answer the question, we can assume that the table contains information about flight arrivals and departure times.In order to determine if a flight arrived on time, we need to know the scheduled arrival time and the actual arrival time. If the actual arrival time is later than the scheduled arrival time, then the flight is considered delayed. If the actual arrival time is earlier than the scheduled arrival time, then the flight is considered early. If the actual arrival time is the same as the scheduled arrival time, then the flight is considered on time.To find the percentage of flights that arrive on time, we need to divide the number of on-time flights by the total number of flights and then multiply by 100. For example, if there are 200 flights and 140 of them arrived on time, then the percentage of flights that arrived on time would be:

(140/200) x 100 = 70%

To find the percentage of flights that did not arrive on time, we need to subtract the percentage of on-time flights from 100. For example, if the percentage of on-time flights is 70%, then the percentage of flights that did not arrive on time would be:

100 - 70 = 30%

Therefore, the answer as a fraction, decimal, and percent is 3/10, 0.3, and 30%, respectively.

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The melt temperature is 1180°C.

The following is the reasoning: Initial Carbon weight = 4% x 300 tonne = 12 tonnes = 12,000 kg

Carbon reacting with Oxygen to form CO2: 1 kg of Carbon reacts with 1 kg of Oxygen (O2) to produce 3.67 kg of

CO2C + O2 → CO2 : ΔH = -394,000 kJ/kg mol CO2

So, 1 kg C reacts with 2.67 kg O2 and 3.67 kg CO2 are formed.

To burn 12,000 kg of carbon, the amount of oxygen required = 2.67 × 12000 kg = 32,040 kg

The amount of air required to get 32,040 kg of oxygen is roughly 100,000 kg.

Carbon monoxide reacting with Carbon:

CO + C → 2COC + CO2 → 2COQ released during the reaction of carbon monoxide and pig iron = -394,000 kJ/kg mol CO2 = -394 kJ/mol × 2.67 mol = -1050 kJ/kg

Therefore, the heat produced by combustion is:

Q = 0.04 x 300 x 10^6 x 750 x (1200 - T) (kg.°C)

= -0.04 × 12000 × 1050

= -5.04 × 10^5 J

The negative sign shows that heat is released from the system and absorbed by the pig iron.

Therefore, to reduce the carbon content from 4% to 1%, the amount of heat generated by the reaction should be

-0.04 x 300 x 10^6 x 750 x (1200 - T)

= 2.52 × 10^9 J.

The quantity of heat available for heating the melt = 5.04 x 10^5 J/g x 1,200,000 g

= 6.048 x 10^11 J.

The final temperature of the melt, T = (Q / (0.04 x 300 x 10^6 x 750)) + 1200

= 1180°C

Therefore, the melt temperature is 1180°C.

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Answer: Triangle?

It crosses it diagonally from the top, I'm sorry if it's wrong though

Using binomial probability, the probability of having exactly 4 dice on 4, 5 or 6 is 5/32.

Using binomial probability, we can calculate the probability that out of the 5 dice thrown, the probability of having exactly 4 dice on 4, 5 or 6 can be calculated as;

\(P(X=k) = C(n, k) * p^k * (1-p)^(^n^-^k^)\)

In the given data;

n = 5

k = 4

p = 3/6 = 1/2

Using the binomial probability formula, we can calculate:

P(X=4) = C(5, 4) * (1/2)⁴ * (1 - 1/2)⁵⁻⁴

P(X=4) = 5 * (1/2)⁴ * (1/2)¹

P(X=4) = 5 * (1/16) * (1/2)

P(X=4) = 5/32

Therefore, the probability that exactly 4 dice land on a 4, 5, or 6 when rolling five fair dice is 5/32.

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A resposta é B, Não há de quê

the second-highest coefficient of the chromatic polynomial is an-1 = |E|.

assume that for any graph with k vertices, the degree of its chromatic polynomial is k. Let's consider a graph with k+1 vertices. We can remove one vertex from this graph, resulting in a graph with k vertices. By the induction hypothesis, the degree of the chromatic polynomial of the reduced graph is k. Adding back the removed vertex, it can be colored in k+1 ways since it is adjacent to at most k vertices. Therefore, the degree of the chromatic polynomial of the graph with k+1 vertices is also k+1.

Hence, we can conclude that if n is the degree of PG(x), then n = |V|.

(b) The leading coefficient of the chromatic polynomial PG(x) is always 1, meaning the coefficient of the highest degree term is 1. This can be proven by induction on the number of vertices in the graph.

For the base case, when the graph has only one vertex, the chromatic polynomial is P1(x) = x, and the leading coefficient is 1.

Now, assume that for any graph with k vertices, the leading coefficient of its chromatic polynomial is 1. Let's consider a graph with k+1 vertices. We can remove one vertex from this graph, resulting in a graph with k vertices. By the induction hypothesis, the leading coefficient of the chromatic polynomial of the reduced graph is 1. Adding back the removed vertex, it can be colored in k+1 ways since it is adjacent to at most k vertices. Therefore, the leading coefficient of the chromatic polynomial of the graph with k+1 vertices is also 1.

Hence, we can conclude that PG(r) is monic, meaning an = 1.

(c) The second-highest coefficient of the chromatic polynomial PG(x) is equal to the number of edges in the graph, |E|. This can be observed from the expansion of the chromatic polynomial.

The chromatic polynomial PG(x) is defined as the sum of products of terms of the form a(ix^i), where i ranges from 1 to n, and a(i) represents the number of proper colorings of the graph with i colors. The coefficient of x^(n-1) in PG(x) is equal to a(n-1), which represents the number of proper colorings of the graph with n-1 colors.

The number of proper colorings of the graph with n-1 colors is equal to the number of edges in the graph, |E|. This is because in any proper coloring, each edge must have endpoints with different colors. Therefore, the number of ways to color the edges is equal to the number of edges.

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Since - 5 is less than -4, hence the point (0, 0) is a solution to the inequality y-5<3x-4

Inequality are equations not separated by an equal sign. Given the inequality

y-5<3x-4

Check if (0, 0) is a solution

0 - 5 < 3(0) - 4

-5 < -4

Since - 5 is less than -4, hence the point (0, 0) is a solution to the inequality y-5<3x-4

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In the given IS-LM model, the equilibrium real output, Y, and the equilibrium value of consumption, C, can be determined using the IS and LM equations. The IS equation relates output to the interest rate, while the LM equation represents the equilibrium condition in the money market. By substituting the given values into the equations, we can find the equilibrium values.

The IS equation is given by: Y = 1,586.27 - 3,145.45i.

The LM equation is given as: i = 0.04.

To find the equilibrium real output, we substitute the value of i from the LM equation into the IS equation:

Y = 1,586.27 - 3,145.45 * 0.04.

Calculating the right side of the equation, we have:

Y = 1,586.27 - 125.82,

Y ≈ 1,460.

Therefore, the equilibrium real output, Y, is approximately 1,460.

To find the equilibrium value of consumption, we substitute the equilibrium real output, Y, into the consumption function:

C = 217 + 0.51Y.

Substituting Y = 1,460, we have:

C = 217 + 0.51 * 1,460.

Calculating the right side of the equation, we find:

C ≈ 984.

Therefore, the equilibrium value of consumption, C, is approximately 984.

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Let the original price of the item be X.

In one week, the price is halved and becomes (1/2)X.

In two weeks, the price is halved again and becomes (1/4)X, which is only 75% off.

Answer:

12 or 24 apples.

Step-by-step explanation:

If you can divide the apples evenly among 4 children, then you can automatically divide them among 2 children (since 4 is a multiple of 2). Therefore, the possible number of apples that the box could contain are given by:

\(n_1 = 3*4 = 12\ apples\\n_2 = 3*4*2 = 24\ apples\)

The box could contain 12 or 24 apples.

Answer:

12 or 24 because they are divisable by 2 3 and 4

Step-by-step explanation:

The money rate of interest that lenders pay for borrowed funds minus the real rate of interest equals the relationship between these different interest rates.

Subtracting the real rate of interest from the money rate of interest gives us the inflation component, which is then added to the real rate of interest to arrive at the nominal rate of interest.

The money rate of interest that lenders pay for borrowed funds minus the real rate of interest equals the nominal rate of interest. This is because the nominal rate of interest reflects both the money rate of interest and the inflation rate.

The real rate of interest, on the other hand, reflects the true return on investment after accounting for inflation.

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