explain why 1/12 + 1/2= 7/12

Answer:

36,000 meters. 12km= 12,000m multiply by 3l of gas.

Step-by-step explanation:

The car will travel 36000 meters using 3 liters of gas as per linear equation.

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, 'A' is a coefficient and 'B' is constant".

Given, a car uses 1 liter of gas every 12 kilometers.

Therefore, using 3 liters of gas, the car will go

= 3 × 36 kilometers

= 36 kilometers

= 36000 meters

With 3 liters of gas, the car will travel 36000 meters.

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The environmental variance in this case is 5 cm, which corresponds to option D.

To determine the environmental variance, we need to subtract the genetic variance from the total variance. The total variance can be calculated by taking the average of the variances in each generation.

Total variance = (49 + 49.4 + 45 + 32) / 4 = 175.4 / 4 = 43.85 cm

The genetic variance is the variance that is due to the genetic differences between the parent varieties and their progeny. In this case, the genetic variance is calculated by taking the difference between the mean length of the F1 generation and the mean length of the parent varieties, squared.

Genetic variance = (65 - \(((40 + 90) / 2))^{2}\)= \((65 - 65)^{2}\) = 0

The environmental variance is then obtained by subtracting the genetic variance from the total variance:

Environmental variance = Total variance - Genetic variance = 43.85 - 0 = 43.85 cm

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The rate at which the diagonal of the rectangle is increasing is 18/13 cm/min.

To find the rate at which the diagonal of the rectangle is increasing, we can use the relationship between the sides of the rectangle, its area, and the diagonal.

Given that Height of the rectangle (h) = 5 cm

The rate at which the base is increasing (db/dt) = 3/2 cm/min

Area of the rectangle (A) = 60 cm²

We can determine the base (b) using the formula for the area of a rectangle:

A = b x h

60 = b x 5

b = 12 cm

Next, the Pythagorean theorem:

d² = b² + h²

d² = 12² + 5²

d² = 144 + 25

d² = 169

d = 13 cm

Now, to determine the rate at which the diagonal is increasing (dd/dt), we can differentiate the equation for the diagonal with respect to time:

d² = b² + h²

2d x (dd/dt) = 2b x (db/dt) + 0 x (dh/dt)

2d x (dd/dt) = 2b x (db/dt)

(dd/dt) = (b (db/dt)) / d

Substituting the known values:

(dd/dt) = (12 x (3/2)) / 13

(dd/dt) = 36/26

(dd/dt) = 18/13 cm/min

Therefore, the rate at which the diagonal of the rectangle is increasing is 18/13 cm/min.

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The value of  x of chord = 5

By definition of circle,

The chord of a circle is defined as the line segment connecting any two locations on the circle's perimeter; nevertheless, the diameter is the longest chord of a circle that goes through the centre of the circle.

The chord is one of the several line segments that may be made in a circle, and its endpoints are on the circumference.

⇒ 6 (6 + x) = 7 (7 + 11)

Solve for x;

⇒ 36 + 6x = 7 × 18

⇒ 36 + 6x = 126

⇒ 6x = 126 - 36

⇒ 6x = 90

⇒ x = 15

Thus, The value of x = 5

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Answer:

28 cm and 12 cm

Step-by-step explanation:

I didn't use math for this one I just used logic lol

Multiply 7 by 4 and 3 by 4, you get 28 and 12, 28+12=40

The probability that the mean SAT score for a random sample of 50 freshmen will be anywhere from 1075 to 1110 is approximately 0.7396, or 73.96%.

To solve this problem, we will use the Central Limit Theorem, which states that the distribution of sample means approaches a normal distribution as the sample size increases.

Given:

Population Mean (μ): 1100

Standard Deviation (σ): 95

Sample Size (n): 50

We need to find the probability that the mean SAT score for a random sample of 50 freshmen falls between 1075 and 1110.

First, we calculate the standard error of the mean (SEM) using the formula:

SEM = σ / √n

SEM = 95 / √50 ≈ 13.435

Next, we can calculate the z-scores for the lower and upper limits using the formula:

z = (x - μ) / SEM

For the lower limit:

\(z_{lower\) = (1075 - 1100) / 13.435 ≈ -1.861

For the upper limit:

\(z_{upper\) = (1110 - 1100) / 13.435 ≈ 0.745

Now, we can use a standard normal distribution table or calculator to find the probabilities associated with these z-scores.

Using the standard normal distribution table, we find the area to the left of -1.861 is approximately 0.0308, and the area to the left of 0.745 is approximately 0.7704.

To find the probability between these two z-scores, we subtract the smaller area from the larger area:

Probability = 0.7704 - 0.0308 ≈ 0.7396

Therefore, the probability that the mean SAT score for a random sample of 50 freshmen will be anywhere from 1075 to 1110 is approximately 0.7396, or 73.96%.

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(27d^(2))/(8c^(2)) contains the C term with the same exponent and the d term with a different exponent as compared to the given expression.  The correct is option (C).

The given expression is ((3C^(4)d^(4))/(2d^(9)))^(3).

We need to find the expression that is equivalent to the given expression. Here, we will use the properties of exponents to simplify the given expression, and then we will compare it with the expressions .

Let us simplify the given expression.

((3C^(4)d^(4))/(2d^(9)))^(3) = (3C^(4)d^(4)/2d^(9))^(3) = (3/2)(C^(4)d^(4-9))^(3) = (3/2)(C^(4)d^(-5))^(3) = (3/2)C^(4*3)d^(-5*3) = (3/2)C^(12)/d^(15)

Now, we need to compare this expression with the expressions given in the answer choices.

Option (A) (3d^(4))/(2c^(2)) cannot be the equivalent expression because it does not contain C and d terms with the same exponents.

Option (B) (81d^(6))/(8C^(6)) cannot be the equivalent expression because it contains the C term with a different exponent as compared to the given expression.

Option (C) (27d^(2))/(8c^(2)) contains the C term with the same exponent and the d term with a different exponent as compared to the given expression. Hence, this expression is equivalent to the given expression.

Hence, this expression is equivalent to the given expression .Therefore, the correct is option (C) (27d^(2))/(8c^(2)).

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Answer:

9/2

Step-by-step explanation: I think it is the answer? I really don't know.

Answer:

2

Step-by-step explanation:

It is saying that both equations equal each other, as they both equal f(x). So we just move each of the factors to equal each other. Like 3x+5=11. There you just subtract the 5 from both sides to get 3x=6, and then divide both sides by 3 to get x=2.

Answer:

x=2

Step-by-step explanation:

f(x)=3x+5

11=3x+5

11-5=3x

6=3x

x=6

3

x=2

hope it helps.

Answer:

$21.6

Step-by-step explanation:

Given data

Cost of Phone= $24

Discount= 10%

Let us find the amount of the discount

=10/100*24

=0.1*24

=$2.4

Hence the amount paid after the discount

=24-2.4

=$21.6

Answer:

21.6

Step-by-step

BIG BRAIN AND MENTAL MATH

Answer:

The mean weight of six boys as per the incorrect data is 59.1667 kilograms.

The actual mean weight of the boy's group is 58.5 kilograms.

To find the mean weight of the six boys as per the incorrect data, we add up all the weights and divide by 6:

(55 + 58 + 57 + 60 + 59 + 65)/6 = 354/6 = 59.1667 kilograms

To find the actual mean weight of the boy's group, we add up the weights of the first five boys and the corrected weight of the sixth boy, and divide by 6:

(55 + 58 + 57 + 60 + 59 + 56)/6 = 345/6 = 58.5 kilograms

Step-by-step explanation:

a. Domain: All real numbers

b. Intercepts: x-intercepts at (0,0), (6,0), and y-intercept at (0,0)

c. Symmetry: None

d. Asymptotes: None

e. Intervals of increase or decrease: Decreases on (-∞, 2), increases on (2, 6), and decreases on (6, ∞)

f. Local maximum or minimum values & Concavity and points of inflection: Local minimum at (2,-16) and point of inflection at (4,8), concave up on (2, 4) and concave down on (4, ∞)

h. Sketch the curve: See attached image.

a. Domain: The domain of a polynomial function is all real numbers. Therefore, the domain of f(x) = x^3 - 12x^2 + 36x is (-∞, ∞).

b. Intercepts: To find the x-intercepts, we set y = 0 and solve for x. Thus, we get x(x-6)(x-6) = 0 which gives x = 0 and x = 6 (multiplicity 2). The y-intercept is f(0) = 0.

c. Symmetry: We check for symmetry by replacing x with -x and simplifying. We get f(-x) = -x^3 - 12x^2 - 36x = -f(x), which means the function is not symmetric about the y-axis or origin.

d. Asymptotes: As the degree of the polynomial is 3, there are no horizontal or vertical asymptotes.

e. Intervals of increase or decrease: To find the intervals of increase or decrease, we take the first derivative and solve for critical points. f'(x) = 3x^2 - 24x + 36 = 3(x-2)(x-6). This gives critical points at x = 2 and x = 6. Thus, f(x) is decreasing on (-∞, 2) and (6, ∞) and increasing on (2, 6).

f. Local maximum or minimum values & Concavity and points of inflection: To find local maxima and minima, we take the second derivative and evaluate at critical points. f''(x) = 6x - 24. At x = 2, f''(2) = -12 which means there is a local minimum at (2,-16). To find points of inflection, we set f''(x) = 0 and solve for x. We get x = 4.

Thus, there is a point of inflection at (4,8). To determine concavity, we look at the sign of f''(x). f''(x) is negative on (2, 4) which means the function is concave down and f''(x) is positive on (4, ∞) which means the function is concave up.

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The number of regions created when constructing a Venn diagram with three overlapping sets is 8.

In a Venn diagram, each set is represented by a circle, and the overlapping regions represent the elements that belong to multiple sets.

When three sets overlap, there are different combinations of elements that can be present in each region.

For three sets, the number of regions can be calculated using the formula:

Number of Regions = 2^(Number of Sets)

In this case, since we have three sets, the formula becomes:

Number of Regions = 2^3 = 8

So, when constructing a Venn diagram with three overlapping sets, there will be a total of 8 regions formed.

Each region represents a unique combination of elements belonging to different sets.

These regions help visualize the relationships and intersections between the sets, providing a graphical representation of set theory concepts and aiding in analyzing data that falls into multiple categories.

Therefore, the correct answer is 8.

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Answer:

You have to multiply be A before each other

Step-by-step explanation:

Answer:

blank 1- 2304

blank 2-  2736

Step-by-step explanation:

hope it helps

Answer: $0.58

Step-by-step explanation:

26 \ 45 = 0.5777

The answer is:

Whether you add or subtract the equations, you get the same resulting equation in one variable.

If the temperature is -5 degrees in one city and it is four degrees less in another city, the temperature in the other city would be -9 degrees.

This is because subtracting four from -5 results in a decrease of four units, giving us -9 degrees.

In the given scenario, the temperature in the other city is four degrees less than the temperature in the first city. When we subtract four from the original temperature of -5 degrees, we obtain -9 degrees.

Thus, the temperature in the other city is -9 degrees, indicating that it is colder by four degrees compared to the first city.

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Answer: b (b²+b+4)

Step-by-step explanation:
b²=bb
b³=b²b
=b²b+bb+4b
=b(b²+b+4)

If the perimeter of a rectangular living room is 38 meters, the length of the living room is 105 meters.

The perimeter of a rectangle is the sum of the lengths of all its sides. Let's denote the length of the living room as "L". The formula for the perimeter of a rectangle is:

Perimeter = 2(length + width)

We know that the width of the living room is 9 meters, and the perimeter is 38 meters. Substituting these values in the formula, we get:

38 = 2(L + 9)

Dividing both sides by 2, we get:

19 = L + 9

Subtracting 9 from both sides, we get:

L = 105

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Answer: X=7

Step-by-step explanation:

Distribute 5 to both sides

5 times x/5 equals

x+3=2(5)

x+3=10

Subtract 3 from both sides

x=7

Answer:

B, D

Step-by-step explanation:

The "integers"— , positive, negative, NOT zero. The "rational numbers"— , or fractions, like 355/113.

The probability of a grand piano selling for more than $67,400 is approximately 0.3819

To solve this problem, we need to standardize the given value using the mean and standard deviation and then find the area under the standard normal distribution curve corresponding to the standardized value.

We can use the Z-score formula to standardize the value:

Z = (X - μ) / σ

where X is the sale price, μ is the mean, and σ is the standard deviation.

Substituting the given values, we get:

Z = (67,400 - 66,000) / 4,600

Z = 0.3043

Using a standard normal distribution table or calculator, we can find the area under the curve to the right of Z = 0.3043. The probability of a grand piano selling for more than $67,400 is the same as the probability of a standard normal variable being greater than 0.3043.

From the standard normal distribution table, we find that the area to the right of Z = 0.3043 is approximately 0.3819.

Therefore, the probability of a grand piano selling for more than $67,400 is approximately 0.3819 or 38.19%.

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Answer:

Step-by-step explanation:

is this in college?

A measure of relative fit for a simple regression line is called the r² or coefficient of determination.

A regression line, or line of best fit, is a straight line used to model the relationship between two variables in a data set. It is drawn through the data points to minimize the distance between the line and the points, representing the best fit. The line's equation is y = mx + b, where y is the dependent variable, x is the independent variable, m is the slope, and b is the y-intercept. The slope represents the rate of change of y with respect to x, and the y-intercept represents the value of y when x is equal to 0. The line is often used to predict the dependent variable based on the independent variable, and the accuracy of the predictions depends on how well the line fits the data.

The coefficient of determination, also known as r², is a statistical measure used to determine the relative fit of a simple regression line. This measure represents the proportion of variance in the dependent variable that can be predicted by the independent variable. The calculation involves squaring the correlation coefficient (r) between the two variables. The resulting value of r² ranges from 0 to 1, where 0 indicates that the independent variable has no explanatory power over the dependent variable, while 1 implies that the independent variable explains all the variability in the dependent variable.

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The probability that the first student Mr. Beal selects has a pass or has completed the homework assignment is approximately 0.697 or 69.7%.

Given that total number of students are 33

Number of students who have completed the homework assignment is 19

Number of students who have a pass is 11

Number of students who have a pass and have completed the assignment is 7

To find the total number of favorable outcomes, we need to add the number of students who have a pass and the number of students who have completed the homework assignment.

Total number of favorable outcomes = 11 + 19 - 7

= 23

The total number of possible outcomes is the total number of students, which is 33.

Now, we can calculate the probability:

Probability = Number of favorable outcomes / Total number of possible outcomes

= 23 / 33

= 0.697

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Answer: 28x+16

Step-by-step explanation: