D(-4,1),A(-2,5,s(-1,4)N(-1,2

The rate of growth in the tree is 4 feet per year.

Height of tree at year 0 = 2 feet

Height of tree at year 1 = 6 feets

Height of tree at year 0 = 10 feets

Therefore, the difference in the heights of the tree from the previous year will be:

= 6 feet - 2 feet.

= 4 feet

In conclusion, the correct option is B.

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Answer:

m=4

n=3

Step-by-step explanation:

m+2n=10

2n+3m=18

Subtract

-2m=-8

m=4

Solve for n

(4)+2n=10

2n+3(4)=18

2n=10-4

2n=18-12

2n=6

n=3

Answer:

they both will fail because, it says that james has a 0.1 more chance of passing the test compared to Kian but it no where states the amount to pass the test nor that they both will pass

one leg of a right triangle is 6 inches longer than the other leg, and the hypotenuse is 30 inches. Thus,

The lengths of the legs of the triangle are 18 inches,24 inches and  30 inches.

Three vertices make up a triangle, a three-sided polygon. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.

Given that,

one leg of a right triangle is 6 inches longer than the other leg.

hypotenuse is 30 inches.

Let assume, the other leg be x

It is given that, one leg of a right triangle is 6 inches longer than the other leg. So, One leg = x + 6

Since it is a right angled triangle,

h² = p² + b²

Where, h = hypotenuse

p = perpendicular

B = Base

So, (30)² = (x+6)² + x²

or, x = -24, 18

As, the length of side cannot be negative so x becomes 18.

Thus, x + 6 = 18 + 6 = 24 inches

Hypotenuse = 30 inches

Hence, the lengths of the legs of the triangle are 18 inches, 24 inches and  30 inches.

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Answer:

67.1

Step-by-step explanation:

You would see if the 3 can go into the seven and seven into three to make it 4, 4 into eight 8 into 6 to make it 7 and then when you get to eight you would round it up into nine to make it 10.

If we round 67.981468373 to 1 decimal place then we'll get 68.

Rounding means replacing variety with an approximate value.

The given number which we've to gather is 67.981468373 and that we must round this number to 1 decimal.

To round we've to simply see the second digit after the decimal and if it's greater than 5 then we are going to add 1 to the primary digit after decimal and if it's but or capable 5 then we are going to deduct the entire digits except the primary digit after the decimal.

In the given number second digit after decimal is 8 which is larger than 5 so we'll add 1 to the primary digit after decimal which is 9. therefore the number which we are going to get is 67.9+1=68

Hence round of 67.981468373 to 1 decimal is adequate 68.

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The volume flow rate of the water passing through the pipe increases by a factor of 6.

Assuming that the initial cross sectional area of the pipe is A m² and the initial velocity of the water is V m/s, the water flow rate is:

= initial flow rate = area × velocity = AV m³/s

As the water speed doubles (2V m/s) and the pipe cross-sectional area triples (3A m²), the volume flow rate becomes:

Final flow rate = 2V × 3A = 6AV m³/s

As a result, the volume flow rate of the water moving through it multiplies by a ratio of six.

The basic equation for cases like these is

Q=AV,

where Q is the volume flow rate, A is the cross-sectional area occupied by the flowing material, and V is the average velocity of flow.

V is considered an average since not every component of a flowing fluid flows at the same rate. If you monitor the waters of a river moving slowly downstream at a consistent rate of gallons per second, you will see that the surface has slower currents here and faster currents there.

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Counting in a base-7 place value system involves using seven digits (0-6) to represent numbers. The first paragraph will summarize the answer, and the second paragraph will explain how counting in a base-7 system works.

In base-7, the place values are powers of 7, starting from the rightmost digit. The digits used are 0, 1, 2, 3, 4, 5, and 6.

Counting in base-7 begins with the single-digit numbers: 0, 1, 2, 3, 4, 5, and 6. After reaching 6, the next number is represented as 10, followed by 11, 12, 13, 14, 15, 16, and 20. The pattern continues, where the numbers increment until reaching 66. The next number is represented as 100, followed by 101, 102, and so on.

The key concept in base-7 counting is that when a digit reaches the maximum value (6 in this case), it resets to 0, and the digit to the left is incremented. This process continues for each subsequent place value.

For example:

14 in base-7 represents the number 1 * 7^1 + 4 * 7^0 = 11 in base-10.

24 in base-7 represents the number 2 * 7^1 + 4 * 7^0 = 18 in base-10.

36 in base-7 represents the number 3 * 7^1 + 6 * 7^0 = 27 in base-10.

By following this pattern, we can count and represent numbers in the base-7 system.

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Answer:

D

Step-by-step explanation:

You are looking for what you would need to cancel the yards in 800 yards.

800 yards (1 mile/ 1760 yards).  You have yards in the numerator of your original measurement.  You will cross cancel out the yard on the the top and the yards on the bottom.

Answer:

3. (1-7/9)÷2 = 2/9÷2 = 1/9

reciprocal of 1/9 is 9

4. x+2/x=3

if you solve it, you get x = 1 and x = 2, so last option, 1 and 2, is the answer

Answered by GAUTHMATH

Answer:

-4^3√35

Step-by-step explanation:

make sure to put the three were all the other threes are on you equation

Answer:  resultant

Step-by-step explanation:

The probabilities are calculated assuming independence of each call and that the success probability remains constant throughout the calls.

a. The probability that, among five voters the student calls, exactly one supports candidate Smith can be calculated using the binomial probability formula. With a success probability of 64% (0.64) and exactly one success (k = 1) out of five trials (n = 5), the probability can be calculated as follows:

\[

P(X = 1) = \binom{5}{1} \times (0.64)^1 \times (1 - 0.64)^4

\]

The calculation results in approximately 0.369, or 36.9%.

b. The probability that, among five voters the student calls, at least one supports candidate Smith can be calculated as the complement of the probability that none of the voters support Smith. Using the binomial probability formula, with a success probability of 64% (0.64) and no success (k = 0) out of five trials (n = 5), the probability can be calculated as follows:

\[

P(X \geq 1) = 1 - P(X = 0) = 1 - \binom{5}{0} \times (0.64)^0 \times (1 - 0.64)^5

\]

The calculation results in approximately 0.997, or 99.7%.

c. The probability that the first voter supporting candidate Smith is reached on the fifth call can be calculated as the probability of not reaching a Smith supporter in the first four calls (0.36) multiplied by the probability of reaching a Smith supporter on the fifth call (0.64):

\[

P(\text{{First Smith Supporter on Fifth Call}}) = (1 - 0.64)^4 \times 0.64

\]

The calculation results in approximately 0.014, or 1.4%.

d. The probability that the third voter supporting candidate Smith is reached on the fifth call can be calculated as the probability of reaching two Smith supporters in the first four calls (0.64 for the first call, 0.36 for the second call, and 0.36 for the third call) multiplied by the probability of reaching a Smith supporter on the fifth call (0.64):

\[

P(\text{{Third Smith Supporter on Fifth Call}}) = (0.64)^2 \times (1 - 0.64) \times 0.64

\]

The calculation results in approximately 0.147, or 14.7%.

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The probabilities are calculated assuming independence of each call and that the success probability remains constant throughout the calls. The calculation results in approximately 0.369, or 36.9%.

a. The probability that, among five voters the student calls, exactly one supports candidate Smith can be calculated using the binomial probability formula. With a success probability of 64% (0.64) and exactly one success (k = 1) out of five trials (n = 5), the probability can be calculated as follows:

[P(X = 1) = \binom{5}{1} \times (0.64)^1 \times (1 - 0.64)^4\]

The calculation results in approximately 0.369, or 36.9%.

b. The probability that, among five voters the student calls, at least one supports candidate Smith can be calculated as the complement of the probability that none of the voters support Smith. Using the binomial probability formula, with a success probability of 64% (0.64) and no success (k = 0) out of five trials (n = 5), the probability can be calculated as follows:

[P(X \geq 1) = 1 - P(X = 0) = 1 - \binom{5}{0} \times (0.64)^0 \times (1 - 0.64)^5\]

The calculation results in approximately 0.997, or 99.7%.

c. The probability that the first voter supporting candidate Smith is reached on the fifth call can be calculated as the probability of not reaching a Smith supporter in the first four calls (0.36) multiplied by the probability of reaching a Smith supporter on the fifth call (0.64):

\[

P(\text{{First Smith Supporter on Fifth Call}}) = (1 - 0.64)^4 \times 0.64

\]

The calculation results in approximately 0.014, or 1.4%.

d. The probability that the third voter supporting candidate Smith is reached on the fifth call can be calculated as the probability of reaching two Smith supporters in the first four calls (0.64 for the first call, 0.36 for the second call, and 0.36 for the third call) multiplied by the probability of reaching a Smith supporter on the fifth call (0.64):

\[

P(\text{{Third Smith Supporter on Fifth Call}}) = (0.64)^2 \times (1 - 0.64) \times 0.64

\]

The calculation results in approximately 0.147, or 14.7%.

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Answer:

x=10

Step-by-step explanation:

Let's solve your equation step-by-step.

(x−3)(x−5)=35

Step 1: Simplify both sides of the equation.

x2−8x+15=35

Step 2: Subtract 35 from both sides.

x2−8x+15−35=35−35

x2−8x−20=0

Step 3: Factor left side of equation.

(x+2)(x−10)=0

Step 4: Set factors equal to 0.

x+2=0 or x−10=0

x=−2 or x=10

As similarity theorem, the value of x that will make the triangles similar by SSS similarity theorem is 77.

Similarity theorem:

In math, similarity theorem refers the line segment splits two sides of a triangle into proportional segments if and only if the segment is parallel to the triangle's third side.

Given,

Here we need to find the t value of will make the triangles similar by the similarity theorem.

For example, we are told that the 2 triangles are similar by SSS theorem.

Here we know that, SSS means Side - Side -Side and it is a congruence theorem which states that the 3 corresponding sides of two triangles have same ratio, then we can say that the two triangles are congruent by SSS theorem

Therefore, in the triangles ,applying the SSS postulate gives;

=> x/35 = 44/20

Then by applying the multiplication property of equality, let us multiply both sides by 35 to get;

=> x = (44 * 35)/20

When we simplify this one then we get,

=> x = 77

Therefore, the value of x is 77.

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The range consists of four distinct y-values: 2, 4, -5, and -3.

The range of a relation refers to the set of all second components (y-values) of the ordered pairs in the relation. To find the range of the given relation, we need to extract the y-values from each ordered pair.

The given relation is {(-1, 2), (2, 4), (3, -5), (-4, -3)}.

The y-values in this relation are 2, 4, -5, and -3.

Therefore, the range of the relation is {2, 4, -5, -3}.

In other words, the range is the set of all possible y-values that correspond to the given x-values in the relation.

In math, range is a statistical measurement of dispersion, or how much a given data set is stretched out from smallest to largest. In a set of data, the range is the difference between the greatest and smallest value.

The range consists of four distinct y-values: 2, 4, -5, and -3.

To find the range in a set of numbers, you must gather your data, organize the data from least to greatest, then subtract the smallest value from the largest value. You can find a range of positive numbers and negative numbers.

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Answer:

B 26.3% increase

Step-by-step explanation:

1 - 3.50/4.75 = .263 = 26.3%

a. the probability of X > 85 is 0.3085 or 30.85% ; b. the probability of X < 75 is 0.3085 or 30.85% ; c. The probability of a score of 90 is 81.85%. ;d. the probability of between a score of 75 and 85 is 30.85%.

Given,μ = 80 and σ = 10

a. The probability of X > 85

Z = (X - μ)/σZ = (85 - 80)/10 = 0.50

Using normal tables, P(Z > 0.50) = 0.3085 or 30.85%

Therefore, the probability of X > 85 is 0.3085 or 30.85%

b. The probability of X < 75Z = (X - μ)/σZ = (75 - 80)/10 = -0.50

Using normal tables, P(Z < -0.50) = 0.3085 or 30.85%

Therefore, the probability of X < 75 is 0.3085 or 30.85%

c. The probability of a score of 90 is

P(X=90) = (1/σ√2π) * e^-(x-μ)²/2σ²Put x=90,σ=10 and μ=80

P(X=90) = (1/10√2π) * e^-(90-80)²/2(10)²P(X=90) = 0.039

Therefore, the probability between the mean and a score of 90 = P(80 ≤ X ≤ 90) = P(X ≤ 90) - P(X < 80) = F(90) - F(80)P(X ≤ 90) = F(90) = 0.9772 (from normal tables)

P(X < 80) = F(80) = 0.1587 (from normal tables)

Therefore, P(80 ≤ X ≤ 90) = 0.9772 - 0.1587 = 0.8185 or 81.85%

d. Between a score of 75 and 85Z1 = (75 - 80)/10 = -0.50 and Z2 = (85 - 80)/10 = 0.50

Using normal tables, P(-0.50 < Z < 0.50) = P(Z < 0.50) - P(Z < -0.50) = F(0.50) - F(-0.50) = 0.3085

Therefore, the probability of between a score of 75 and 85 is 0.3085 or 30.85%.

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Answer:

Please type it out for me, sorry!

Step-by-step explanation:

Answer:

y = 16

Step-by-step explanation:

From the pattern in the table we can see that x to the power of two results in y (2.5 x 2.5 = 6.25, 9.4 x 9.4 = 88.36, etc.) This means that 4 x 4 = 16, which is the value of y.

Answer:

16

Step-by-step explanation:

Plato/Edmentum

The population of bacteria in 8 hours will be 27,437.

It is given in the question that:-

Current population of bacteria = 12,800

Growth rate of bacteria = 10 % per hour

We have to find the population of bacteria in 8 hours.

As the growth of bacteria will be compounded per hour we can use the formula of compound amount to evaluate the population of bacteria in 8 hours.

Hence,

Amount of bacteria = Current population of bacteria(1 + Rate of growth/100)^(number of hours)

Let Amount of bacteria = A

Hence,

\(A=12800(1+10/100)^8\)

\(A=12800(1+0.1)^8=12800(1.1)^8\)

A = 12800*(2.14358881)

A = 27437.936768 ≈ 27438 bacteria.

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Answer:

You are true!!!!

Step-by-step explanation:

It's cylinders and Prisms

Answer:

cylinders and prisms

Step-by-step explanation:

Answer:

Game 1

Equal chance

Game 2

Step-by-step explanation:

A BETTER CHANCE OF WINNING

Each of the problems below describes two different games you can play with a random number generator. In each case, you will win if the random number generator gives you the indicated kind of number. Find the theoretical probability that you win each game below. Decide and justify whether Game I or Game II in each part, (a) through (c), gives you a better chance of winning.

Game I

a.Picking a prime number from the integers between 1 and  20

b.Picking a multiple of 5 from the integers between 1 and  20

c.Picking a multiple of 7 from the integers between 1 and 40  

Hint:

Find the percent chance that each event will occur and compare the results.

a.Picking a prime number from the integers between 21 and  40

b.Picking a multiple of 5 from the integers between 1 and  40

c.Picking a multiple of 6 from the integers between 1 and  25

Answer:

Game 1

Equal chance

game 2

The system of equations has infinite solutions.

Given:

y = -6x +2

-12x - 2y= -4

To solve for Equation 2,

The value of y is already given in equation 1,

Thus,

substituting the value of y in equation 2,

-12x -2(-6x +2) = -4

-12x - 12x = -4 +4

0=0

The solution of the two equations is 0. Also, we can see that both equations are in ratio.

Further, the image also shows that the line of the two equations are coinciding.

Hence, the system of equations has infinite solutions.

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How many solutions does this linear system have?

y = -6x +2

-12x - 2y= -4

one solution: (0, 0) one solution: (1, –4) no solution infinite number of solutions.

Answer:

1, 315/500 , put that into a calculator and it'll simplify for you.

2, 665/1000 put that into a calculator and it'll simplify for you.

The given property “If AB=CD then CD=AB” is known as the symmetric property. Symmetric property is a type of equivalence relation in mathematics that states that if the relation between two elements is in the form of "if A is related to B, then B is related to A," then this type of relation is symmetric.

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The upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

To determine the upper bound of the 95% confidence interval for the average age in the U.S., we can use the sample data from the survey. The sample size is 1072 people, randomly selected from the U.S. population, with a minimum age of 12. By calculating the average age of the respondents, we can estimate the average age of the entire U.S. population.

Using the given information that the average age of the respondents is 43.56 years, and assuming that the sample is representative of the population, we can calculate the standard error. The standard error measures the variability of the sample mean and indicates how much the sample mean might deviate from the population mean.

Using statistical methods, we can calculate the standard error and construct a confidence interval around the sample mean. The upper bound of the 95% confidence interval represents the highest plausible value for the population average age based on the sample data.

Therefore, based on the provided information and calculations, the upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

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Answer: x= 8   y= 17

Step-by-step explanation: 6*8 = 48+11=59

3*17=51+8=59

Answer:

x = 11.375

y = 23.75

Step-by-step explanation:

Corresponding angles:  A pair of angles that are in the same relative position at each point where a straight line intersects two other straight lines.

If the two lines are parallel, the corresponding angles are equal. 

Therefore:

⇒ (6x + 11)° = (3y + 8)°

⇒ 6x + 11 = 3y + 8

⇒ 6x + 3 = 3y

⇒ 3y = 6x + 3

Angles on a line sum to 180°.  

Therefore:

⇒ (3y + 8)° + (10x - 13)° = 180°

⇒ 3y + 8 + 10x - 13 = 180

⇒ 3y + 10x = 185

⇒ 3y = 185 - 10x

Substitute the first equation into the second equation and solve for x:

⇒ 6x + 3 = 185 - 10x

⇒ 16x = 182

⇒ 16x = 182

⇒ x = 11.375

Substitute the found value of x into one of the equations and solve for y:

⇒ 3y = 6(11.375) + 3

⇒ 3y = 68.25 + 3

⇒ 3y = 71.25

⇒ y = 23.75