A football team averaged a loss of 8 yards in each of 4 plays. If they did not gain any yards, what was the net yardage the team had after those 4 plays?
What is the answer?

Answer:

3x+5

Step-by-step explanation:

Let number =X

So

Five more than 3 times a number

3x+5

Answer:Yes the answer would be 700 since that is the starting amount.

Step-by-step explanation:

Using sampling concepts, it is found that the 33,043 infants represent the sample.

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

In this problem, all infants represent the population, while 33,043 infants represent the sample.

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Answer:

4.5m

Step-by-step explanation:

Area= Length × Breath(Width)

Area= 18m²

Length= ?

Breadth(Width)=4m

Using the formula a=l×b

18= l×4

18/4=l×4/4

L=4.5m

Answer:

4.5

Step-by-step explanation:

A=l×w

18=l×4

18/4=4l/4

l=18/4

l=4.5

Answer:

f = 1, w = 4

Step-by-step explanation:

Given the 2 equations

5w = 23 - 3f → (1)

4f = 12 - 2w (add 2w to both sides )

2w + 4f = 12 ( subtract 4f from both sides )

2w = 12 - 4f → (2)

Multiplying (1) by 4 and (2) by - 3 and adding the result will eliminate f

20w = 92 - 12f → (3)

- 6w = - 36 + 12f → (4)

Add (3) and (4) term by term to eliminate f

14w = 56 ( divide both sides by 14 )

w = 4

Substitute w = 4 into either of the 2 equations and solve for f

Substituting into (1)

5(4) = 23 - 3f

20 = 23 - 3f ( subtract 23 from both sides )

- 3 = 3f ( divide both sides by - 3 )

1 = f

Answer:

Step-by-step explanation:

The truck can haul 1102 pounds.

According to the question,

We have the following information:

A Ford F-150 truck is considered a half-ton truck because that is how much it can haul.

(We will not directly convert ton into pounds. We will follow the following steps.)

Now, we know that 1 ton is equal to 1000 kilograms.

So, half ton makes 500 kg.

Now, to convert this into pounds, we will multiply 500 kg by 2.205 because we know that 1 kg is equal to 2.205 pounds.

1 kg = 2.205 pounds

500 kg = (500*2.205) pounds

500 kg = 1102.5 pounds

Hence, the truck can haul 1102.5 pounds.

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Answer:

8/300= hsjjsksksksbsjsishshvsjsksossbsbakaoans sbsjsjsjsbs sbsksis

The value of the probability P(2) is 0.11

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

The table of values

As a general rule:

The sum of probabilities must equal to 1

Using the above as a guide, we have the following:

0.1 + P(2) + 0.35 + 0.1 + 0.3 + 0.04 = 1

Evaluate the like terms

This gives

P(2) + 0.89 = 1

So, we have

P(2) = 0.11

Hence, the solution is 0.11

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Answer:168+2d= 180

Step-by-step explanation:

Answer:

Step-by-step explanation: 168 +2d=180

Answer:

from 5 back down to 3

Step-by-step explanation:

whenever there is a + and a - right next to eachother it always means -

So, this mean 5-2, which is 3

Answer:

on 3

Step-by-step explanation:

+-=-

5-2=3

The Gibbs-Duhem equation relates the activity coefficients of the individual components in a mixture. It states that the activity coefficients are not independent of each other but are related by a differential equation.

In the case of a binary mixture (chemical A and chemical B), the Gibbs-Duhem relation can be written as:

x1 * (∂x1/∂lnγ1)T,P = x2 * (∂x2/∂lnγ2)T,P

Here, x1 and x2 represent the mole fractions of chemical A and chemical B, respectively. The activity coefficients for chemical A and chemical B are denoted as γ1 and γ2, respectively.

The equation shows that the change in mole fraction of one component (x1) with respect to the change in the logarithm of its activity coefficient (lnγ1) is proportional to the change in mole fraction of the other component (x2) with respect to the change in the logarithm of its activity coefficient (lnγ2).

This relationship helps us understand how changes in the activity coefficients of the components affect each other in a binary mixture. By studying this relationship, we can gain insights into the behavior of the mixture and make predictions about its properties.

For example, let's consider a mixture of ethanol (chemical A) and water (chemical B). If the activity coefficient of ethanol (γ1) decreases, the Gibbs-Duhem equation tells us that the mole fraction of ethanol (x1) will also decrease. Similarly, if the activity coefficient of water (γ2) increases, the mole fraction of water (x2) will increase.

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Answer:

12,000

Step-by-step explanation:

just multiply 6,000 by 2

Answer: y>(1/3)x-3

Step-by-step explanation: The slope is 1/3. The dotted line means it is not inclusive, and the value of k means it is going down three units.

There is evidence to support the claim that brand B gasoline yields a higher mean mpg than brand A gasoline under identical conditions.

Now, For test whether the mpg of brand B is significantly better than that of brand A, we can perform a two-sample t-test,

Here, assuming normality and using a significance level of 5%.

The null hypothesis states that there is no significant difference between the mean mpg of brand A and brand B, while the alternative hypothesis states that the mean mpg of brand B is significantly greater than that of brand A.

the t-value:

t = (xB - xA) / √(Sp/nB + Sp/nA)

where xB = 20.2, xA = 19.6,

Sp = ((nB - 1) sB + (nA - 1) sA) / (nA + nB - 2),

nB = nA = 16, and sB = 0.6, sA = 0.4.

Plugging in the values, we get:

Sp = ((16 - 1) 0.6 + (16 - 1) 0.4) / (16 + 16 - 2)

= 0.0804

Hence,

t = (20.2 - 19.6) / √√(0.0804/16 + 0.0804/16)

t = 3.64

The critical t-value for a two-tailed test with 30 degrees of freedom and a significance level of 5% is ±2.045.

Since the calculated t-value (3.64) is greater than the critical t-value, we can reject the null hypothesis and conclude that the mean mpg of brand B is significantly better than that of brand A.

Therefore, we can conclude that there is evidence to support the claim that brand B gasoline yields a higher mean mpg than brand A gasoline under identical conditions.

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The number of rabbits that must be sold if they want to be fed for 15 more days is 150 rabbits.

In a farm, there is food to feed 300 rabbits for 60 days.

Let x be the number of rabbits that must be sold if they want to be fed for 15 more days.

From the given data, we have the following equation:

300 * 60 = (300 - x) * 75

The equation represents the amount of food for 300 rabbits that can last 60 days is equal to the amount of food for 300 - x rabbits that can last 75 days.

Solving for x, we get:

x = 150 rabbits

Hence, the number of rabbits that must be sold if they want to be fed for 15 more days is 150 rabbits.

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To determine the area of the region between the curves x = y^2 and x = 9, we need to integrate over the y-axis.

First, let's find the y-values where the curves intersect. Setting the equations equal to each other:

y^2 = 9

Taking the square root:

y = ±√9 = ±3

Since the range of integration is from 0 to π, we only consider the positive y-values.

Now, we integrate the difference between the upper curve (x = 9) and the lower curve (x = y^2) over the interval [0, 3]:

Area = ∫[0, 3] (9 - y^2) dy

Expanding and integrating:

Area = ∫[0, 3] 9dy - ∫[0, 3] y^2 dy

Area = 9y | [0, 3] - (y^3/3) | [0, 3]

Area = 9(3) - (3^3/3) - 0 - (0^3/3)

Area = 27 - 9

Area = 18 square units

Therefore, the area of the region between x = y^2 and x = 9, integrated over the y-axis, is 18 square units.

To determine the area of the region between the curves y = x and x = y^2, we need to graph the equations and integrate over the x-axis.

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The length of the line segment from negative 5 comma 5 to 3 comma negative 1 is 10 Units.

How to find the length of a line segment?

A line segment is defined as a line bounded by two  points on a line.

The line segment from negative 5 comma 5 to 3 comma negative 1

is found by using the formula

square root of (x2-x1)² +(y2-y1)²

\(\sqrt{(3+5)^{2} +(-1-5)^{2} }^\)

\(\sqrt{8^{2}+6^{2} }\)

\(\sqrt{100}\)

=10 units

therefore the length of the line segment is 10 units

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Answer:

that would be 7.33

Step-by-step explanation:

sorry it's 66

I divided 3 by 22 instead of multiplying

Answer:

66

Step-by-step explanation:

2+20=22

22x3=66

Answer:

x = 15.7945

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 33°

Opposite Leg = x

Hypotenuse = 29

Step 2: Find Angle

Answer:

The 3rd one

Step-by-step explanation:

Answer:

They are corresponding angles

Step-by-step explanation:

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Answer:

\(122 - 71 = 51 \\ m < 51\)

Answer:

DBC= 40˚

Step-by-step explanation:

Since we already know what ABC and ABD is we could use these information to get what DBC is.

Since ABD and DBC adds together to sum up to ABC we could use this info to create this equation:

ABD+DBC=ABC

Replace ABD and ABC with the number that it is equal to

71˚+DBC=112˚

Move 71˚ to the other side by subtracting

DBC=112˚-72˚

Which is 40˚

So the answer is 40˚

Hope this helped!

Given statement solution is :- tan(60°) can be written as the fraction √3/3 using the given special right triangle. Option (c) is correct.

To write tan(60°) as a fraction using a special right triangle, we can use the triangle with side lengths:

a = 1,

b = √3,

c = √3/2.

In this triangle, the angle opposite side a is 30°, and the angle opposite side b is 60°.

We know that tan(theta) is defined as the ratio of the length of the opposite side to the adjacent side. Therefore, in this case, tan(60°) is equal to the ratio of side a to side b.

So, tan(60°) = a/b = 1/√3.

Simplifying the fraction by rationalizing the denominator, we multiply both the numerator and denominator by √3:

tan(60°) = (1/√3) * (√3/√3) = √3/3.

Therefore, tan(60°) can be written as the fraction √3/3 using the given special right triangle.

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Step-by-step explanation:

Odd numbers from the list are 75, 189, and 315.

75, 189, and 315, are composite numbers.

Prime factorization of 75 = 3 × 5 × 5

Prime factorization of 189 = 3 × 3 × 3 × 7

Prime factorization of 315 = 3 × 3 × 5 × 7

315 is an odd number, and a composite number that is divisible by 3 different prime numbers.

The correct answer would be Option D 315

A prime number is a whole number greater than 1 whose only factors are 1 and itself. A factor is a whole number that can be divided evenly into other numbers. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29. Numbers that have more than two factors are called composite numbers.

Given here: The number must be odd and has three prime factors

In option D 315 its prime factorization is 315=3²×5×7

It has 3 different prime factors 3,5,7 and thus option D is the correct answer.

Hence, The correct answer would be Option D 315

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Answer:

i dont get it is it an angle or a triangle

The account balance after 18 years is $4,659.98

The formula for calculating the compound interest is expressed as:

A = P(1+r)^n

P is the amount deposited = $1500

Rate = 6.5% = 0.065

compounding time = 1

time in years = 18 years

Substitute the given parameters into the formula;

A = 1500(1+0.065)^18

A = 1500(1.065)^18

A = $4,659.98

Hence the account balance after 18 years is $4,659.98

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P(matching all 6 balls) = 1 / (49C6), P(matching exactly 5 balls) = (6C5 x 43C1) / 49C6 and P(matching exactly 4 balls) = (6C4 x 43C2) / 49C6.

a) Probability of matching all 6 balls:

The total possible outcomes of the game is 49C6, since the player has to select 6 numbers out of 49 numbers.

Therefore, P(matching all 6 balls) = 1 / (49C6)

b) Probability of matching exactly 5 balls:

The player has to select 5 balls correctly out of 6.

The remaining ball cannot be chosen by the player, but can be any of the 43 remaining balls.

Therefore, P(matching exactly 5 balls) = (6C5 x 43C1) / 49C6

c) Probability of matching exactly 4 balls:

The player has to select 4 balls correctly out of 6.

The remaining 2 balls cannot be chosen by the player, but can be any of the 43 remaining balls.

Therefore, P(matching exactly 4 balls) = (6C4 x 43C2) / 49C6.

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Answer:

Step-by-step explanation:

To rotate the arrowhead 90 degrees anticlockwise, you can follow these steps:

1. Draw the arrow with the arrowhead pointing towards the right.
2. Place the center of rotation at the tail of the arrow.
3. Rotate the arrowhead 90 degrees anticlockwise around the center of rotation.

Here is an image to help illustrate the transformation:

[Insert image here]

I hope this helps! Let me know if you have any further questions.

D, "desires" is the correct answer

The first passage was taken from Michael Slezak's "Space Mining: the Next Gold Rush?" The text discusses mining activities outside of Earth.

Two private asteroid mining companies were introduced at the event. Line 19 claims firmly that within a few decades, these two companies may be able to provide the world's needs for rare earth elements like lanthanum and yttrium as well as valuable metals like platinum and gold.

The term "demands" here refers to the need for the aforementioned elements in line 19. As a result, choice D is the correct answer.

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