I need help on this question. Prove your answer with evidence. Will give brainliest if answer is true.

"Former" means "past", more or less. So he used to be a camper.

Antonym means the opposite.

I would say "future" is more opposite than "past", but "current" works as well too.

The number of pounds of candy that sells for $0.79 per lb that  must be mixed with candy that sells for $1.35 per lb to obtain 8 tons of a mixture that should sell for $335 per ton is 580 pounds

Take x as the number of pounds of candy that sells for $0.79 per lb, and y as the number of pounds of candy that sells for $1.35 per lb.

x + y = 8 (i.e total amount of candy to be mixed)

0.79x + 1.35y = 335 (desired selling price per ton)

solve for x

y = 8 - x

0.79x + 1.35(8 - x) = 335

0.79x + 10.8 - 1.35x = 335

-0.56x = 324.2

x = 579.64

Thus x ≈ 580 to the nearest pound

Hence, about 580 pounds of candy that sells for $0.79 per lb must be mixed with candy that sells for $1.35 per lb to obtain 8 tons of a mixture that should sell for $335 per ton.

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x = ㏑₂8 in the logarithmic function.

A logarithmic function is the inverse of an exponential function.

Given  function if f(x) = \(2^{x}\),

When strength is equal to 8 pascals, f(x) = 8

Therefore, 8 = \(2^{x}\)

Taking log on both sides:

                 ln8 = ln\(2^{x}\)

                 ln8 = xln2

       or         x  = ln8/ln2

                    x = ㏑₂8

Hence, the required function is x = ㏑₂8.

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Answer:

Solution,

\(f(x) = - 4 {x}^{2} + 5x \\ f(6) = - 4 \times {6}^{2} + 5 \times 6 \\ \: \: \: \: \: \: = - 4 \times 36 + 30 \\ \: \: \: = - 144 + 30 \\ \: \: \: - 114\)

hope this helps.

Good luck on your assignment..

Answer:

-114

Step-by-step explanation:

To find f(6), you need to plug in the value in parentheses wherever there is an x in the equation.

f(x) = -4x + 5x

f(6) = -4(6) + 5(6)

f(6) = -4(36) + 30

f(6) = -144 + 30

f(6) = -114

The answer is -114.

An explanation of an event that is based on repeated observations and experiments is a scientific theory

A thorough, well-researched explanation of a natural occurrence constitutes a scientific theory.

We frequently use the word "theory" to refer to a hypothesis or informed guess in common speech, but in science, a theory is an explanation that is the result of a substantial and repeated investigation. The purpose of theories is to explain a broad concept; they are not intended to establish facts

Some of the most well-known and complicated events are explained by scientific theories. The theories of relativity, evolution, and gravity are a handful of the most well-known scientific concepts.

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Suppose that the correlation between educational level attained and yearly income is +0.68. This indicates that there is a positive and strong relationship between educational level and yearly income.

It means that as the level of education attained increases, the yearly income also tends to increase. However, it is important to note that correlation does not imply causation, and there could be other factors that contribute to the relationship between education and income.

Based on the provided correlation coefficient of +0.68 between educational level attained and yearly income, we know that there is a positive and moderately strong relationship between the two variables. As a person's education level increases, their yearly income is also likely to increase.

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The equation of the tangent line to the graph of f(x) = (4x³ + 3)(6x - 5) at the point (1,7) is y = 54x - 47.

To find the equation of the tangent line, we need to determine the slope of the tangent line at the given point. This can be done by finding the derivative of f(x) and evaluating it at x = 1. Taking the derivative of f(x) using the product rule, we get f'(x) = (12x²)(6x - 5) + (4x³ + 3)(6), which simplifies to f'(x) = 72x³ - 60x² + 24x + 18.

Evaluating f'(x) at x = 1, we get f'(1) = 72(1)³ - 60(1)² + 24(1) + 18 = 72 - 60 + 24 + 18 = 54.

The slope of the tangent line is equal to the value of the derivative at the given point, so the slope is 54.

Using the point-slope form of a line, we can write the equation of the tangent line as y - 7 = 54(x - 1), which simplifies to y = 54x - 54 + 7, and further simplifies to y = 54x - 47.

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1/2 fraction of the day will the clock show the correct time when  it is supposed to display a 1 , it mistakenly displays a 9.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Here,

=2/3(1-15/60)

=2/3(3/4)

=2/4

=1/2

When the clock should be displaying a 1, but instead shows a 9, the correct time will be displayed for 1/2 of the day.

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The statement is True only for independent events and False otherwise. The statement "p (A ∩ B) = p(A). p(B)" is not always true for any two events A and B defined on a sample space S of an experiment.

This equation only holds true if A and B are independent events, meaning that the occurrence of one event does not affect the probability of the other event happening. In other words, p(A|B) = p(A) and p(B|A) = p(B).

If A and B are dependent events, meaning that the occurrence of one event affects the probability of the other event happening, then the equation does not hold true. In this case, the probability of A and B occurring together (p(A ∩ B)) would be less than the product of the probabilities of A and B occurring separately (p(A).p(B)).

Therefore, the statement is not always true and depends on whether A and B are independent or dependent events.

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Aspects of the data that are more likely to change as more data are collected include inconsistent trends, small sample sizes, and the presence of outliers.

1. Aspects researchers are likely to be confident about:
Consistent trends: If there is a clear, consistent trend in the data, researchers may have more confidence in these aspects.
Large sample size: When the data is based on a large number of observations, researchers may have greater confidence in the results.
Statistical significance: If the results show statistically significant differences or correlations, this can increase the researchers' confidence in the data.

2. Aspects that are more likely to change as more data are collected:
Inconsistent trends: If the data shows fluctuating trends, more data collection may lead to changes in the interpretation of the data.
Small sample size: When the data is based on a small number of observations, the results may not be as reliable and can change as more data is collected.
Outliers: Outliers can greatly affect the interpretation of the data, but as more data is collected, their impact may be reduced, and the overall understanding of the data can change.

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The surge tank is a vital component of a system in which the flow rate fluctuates significantly. The flow rate entering the tank varies significantly, causing the fluid level in the tank to fluctuate as a result of the compressibility of the liquid. The surge tank is utilized to reduce pressure variations generated by a rapidly fluctspace uating pump flow rate. To determine the matrices A,B,C, and D using state-space notation, here are the steps:State representation is given by:dx/dt = Ax + Bu; y = Cx + DuWhere: x represents the state variablesA represents the state matrixB represents the input matrixC represents the output matrixD represents the direct transmission matrixThe equation can be written asA = [ -1/R₁ 0; 1/R₁ -1/R₂]B = [1/A₁; 0]C = [0 1/R₂]D = 0Thus, the matrices A,B,C and D assuming that the level deviations are the state variables: h'₁ and h'₂. The input variable is q'ᵢ, and the output variable is the flow rate deviation, q'₂ are given by A = [ -1/R₁ 0; 1/R₁ -1/R₂]B = [1/A₁; 0]C = [0 1/R₂]D = 0.Hence, the required matrices are A = [ -1/R₁ 0; 1/R₁ -1/R₂], B = [1/A₁; 0], C = [0 1/R₂], and D = 0 using state-space notation for the given system of equations for two liquid surge tanks.

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The solution to the system of equations that includes functions f(x) and g(x) is given by: (1,7).

A linear function is modeled by:

y = mx + b

In which:

The linear function g(x) goes through point (0,5), hence the y-intercept is of 5. The function also goes through point (1,7), hence the slope is of 2 and the function is:

g(x) = 5 + 2x.

The solution to the system of equations is found as follows:

f(x) = g(x)

2x² + x + 4 = 5 + 2x

2x² - x - 1 = 0

Which is a quadratic equation with coefficient a = 2, b = -1, c = -1, hence:

When x = 1, f(x) = g(x) = 7, hence the solution of the system is of (1,7).

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Answer:

D. (1,7)

Step-by-step explanation:

I took the exam

Eval is a function that evaluates an expression and puts the resulting value into a new or existing field.

To calculate the value of an expression using Eval, you must use the correct syntax. The syntax for Eval is Eval(expression, optional_parameter). The expression can take the form of a mathematical equation or a logical expression. For example, if you wanted to calculate the sum of two numbers, you would use the following expression: Eval(A + B). The optional parameter allows you to specify a range of values to evaluate the expression against.

For example, if you wanted to calculate the sum of two numbers within a given range, you would use the following expression: Eval(A + B, range). The range parameter can be used to specify the starting and ending values that the expression should be evaluated against.

Using Eval to calculate an expression is a useful tool for quickly getting the desired value. It is also useful for quickly testing the accuracy of a complex expression before implementing it in your code.

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Answer:

BC≈12.2

Step-by-step explanation:

As we know

24/sin(100°)=BC/sin(30°)

BC=sin(30°)×24/sin(100°)

BC=1/2×24/sin(100°)

BC=12/sin(100°)

BC=12.2 (approximately)

Answer:

BC≈12.2

Step-by-step explanation:

Hope this helped have an amazing day!

Answer: bro did you copy and paste jeez

Step-by-step explanation: $2.330

Answer: type II error

Step-by-step explanation: bcs

Answer: i think its d

Step-by-step explanation:

There is no value of (m,n) such that f(m,n) = k, which implies that k is not in the range of f. We have shown that f is not surjective.

To prove that the function f(m,n) = 2^m * 3^n is injective, we need to show that if f(m1,n1) = f(m2,n2), then (m1,n1) = (m2,n2).

Suppose that f(m1,n1) = f(m2,n2). Then we have:

2^m1 * 3^n1 = 2^m2 * 3^n2

Dividing both sides by 2^m1 * 3^n1 (which is nonzero), we get:

(2^m2 / 2^m1) * (3^n2 / 3^n1) = 1

Simplifying, we get:

2^(m2-m1) * 3^(n2-n1) = 1

Since 2 and 3 are both prime numbers, this implies that m2-m1 = 0 and n2-n1 = 0, which in turn implies that m1 = m2 and n1 = n2. Therefore, we have shown that f is injective.

To prove that f is not surjective, we need to find a natural number k that is not in the range of f. Let's suppose that k is in the range of f, so there exist m and n such that:

k = 2^m * 3^n

Without loss of generality, we can assume that m <= n (otherwise, we can just swap m and n). Then, we have:

2^m * 3^n >= 2^m * 3^m = (2/3)^m * 3^(2m)

We know that (2/3)^m approaches 0 as m approaches infinity, so for any large enough value of m, we have:

2^m * 3^n > k

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Answer:

10cm

Step-by-step explanation:

pretty sure the diameter is measured by multiplying the radius twice :)

Answer:

Diameter = 10 cm

Circumference = 31.43 cm

Area = 78.57 cm²

Answer:

Hey there :) The answer is 0.25 minutes.

Step-by-step explanation:

1 minute = 60 seconds

So, 15 ÷ 60 = 0.25 minutes

The slope of a graphed line that spans grid points (0, 2) and best represents the slope as -5 (1, -3)

A line's slope determines how steep it is. A mathematical equation for the gradient is called "gradient overflow" (the change in y divided by the change in x). The slope is the ratio of the vertical change (rise) between two points to the horizontal change (run) between those same two spots. When a straight line's equation is written as y = mx + b, the slope-intercept form of an equation is employed to express it. The y-intercept is located at a location where the line's slope is m, b is b, and (0, b). For instance, the slope of the equation y = 3x - 7 and the y-intercept (0, 7).

given

If the line rises to the right, the slope has a positive sign. The slope of this line is negative since it descends to the right. (Removes options C and D)

The ratio of the vertical to horizontal distance between two sites determines the slope's magnitude. This line has a slope of rise/run = -5/1 = -5 because it descends five vertical squares for every square to the right.

-5 is the best way to describe the slope.

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g(x) = 5x +6x if x <5 a if x-5

3x+I if x > 5 a
The value of a for which g is continuous from the right at 5 is 15.

Let g(x) = 5x +6x if x < 5 and 3x+a if x > 5.

a. To determine the value of a for which g is continuous from the left at 5, we set the left-hand limit equal to the right-hand limit and solve for a:

5 + 6(5) = 3(5) + a

30 = 15 + a

a = 15

Therefore, the value of a for which g is continuous from the left at 5 is 15.

b. To determine the value of a for which g is continuous from the right at 5, we set the right-hand limit equal to the left-hand limit and solve for a:

3(5) + a = 5 + 6(5)

15 + a = 30

a = 15

Therefore, the value of a for which g is continuous from the right at 5 is 15.

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The probability of rolling all six numbers at least once when rolling a six-sided die 12 times is approximately 0.0263, or about 2.63%.

To calculate the probability of rolling all six numbers at least once when rolling a six-sided die 12 times, we can use the concept of permutations.

The total number of possible outcomes when rolling a six-sided die 12 times is 6^12 since each roll has six possible outcomes. This represents the denominator of our probability calculation.

Now, let's calculate the numerator, which represents the number of favorable outcomes where we get all six numbers at least once. We can use the concept of derangements (or the principle of inclusion-exclusion) to determine this.

A derangement is a permutation in which none of the elements appear in their original position. In our case, we want to find the number of derangements for a set of six elements (the six numbers on the die).

The formula to calculate the number of derangements for a set of n elements is given by n! * (1 - 1/1! + 1/2! - 1/3! + ... + (-1)^n/n!).

Using this formula, we can calculate the number of derangements for six elements:

Number of derangements = 6! * (1 - 1/1! + 1/2! - 1/3! + 1/4! - 1/5! + 1/6!) = 265

Therefore, the numerator of our probability calculation is 265.

Finally, we can calculate the probability by dividing the numerator by the denominator:

Probability = Number of favorable outcomes / Total number of possible outcomes = 265 / 6^12

Calculating this value:

Probability ≈ 0.0263

So, the probability of rolling all six numbers at least once when rolling a six-sided die 12 times is approximately 0.0263, or about 2.63%.

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The value of x when y = 2 is -19/7

A direct variation from x to y is represented as:

x = ky

Where k represents the variation constant.

x = -19 when y = 14.

So, we have:

-19 = 14k

Make k the subject

k = -19/14

Substitute k = -19/14 in x = ky

x = -19y/14

When y = 2, we have:

x = -19 * 2/14

Evaluate

x = -19/7

Hence, the value of x when y = 2 is -19/7

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Khalid spent 13% of the total amount he had, which is Rs 156 out of Rs 1200.

To find out the percentage that Khalid spent, we need to divide the amount he spent by the total amount he had and then multiply the result by 100.

Percentage spent = (Amount spent / Total amount) x 100%

In this case, Khalid spent Rs 156 out of Rs 1200.

Percentage spent = (156 / 1200) x 100%

Percentage spent = 0.13 x 100%

Percentage spent = 13%

Therefore, Khalid spent 13% of the total amount he had.

Let's say Khalid spent x percent of the total amount he had, then we can write the equation as:

x% of Rs 1200 = Rs 156

To solve for x, we can first convert x% to a decimal by dividing by 100:

x/100 * Rs 1200 = Rs 156

Next, The equation we can solve for x by isolating it on one side:

x/100 = Rs 156 / Rs 1200

x/100 = 0.13

x = 0.13 * 100

x = 13

Therefore, Khalid spent 13% of the total amount he had, which is Rs 156 out of Rs 1200.

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Answer:

B i think

Step-by-step explanation:

The product of 1 and any number is the number (hence why it is most likely b). But instead of it being 4, it would be -4 because multiplying a negative by a positive results in a negative.

Answer:

1.2

Step-by-step explanation:

to get the answer divide 1.56/1.3=1.2

1.2*1.3=1.56

Answer: 1.2

Step-by-step explanation:

Divide both sides of the equation by 1.3

X=1.56/1.3

X=1.2

Plug in 1.2 x 1.3 = 1.56

\(\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=475.17\\ h=15 \end{cases}\implies 475.17=\cfrac{\pi r^2(15)}{3}\implies 475.17=5\pi r^2 \\\\\\ \cfrac{475.17}{5\pi }=r^2\implies \sqrt{\cfrac{475.17}{5\pi }}=r\implies 5.5\approx r~\hfill \underset{diameter}{\stackrel{2(5.5)}{\approx 11}}\)