Find what 2c is equal to if c = 6

Answer:

a

Step-by-step explanation:

11/3  (eleven divided by three)

Step-by-step explanation:

¿Puedes decirnos las ecuaciones?

Using the linear function, the depth of the dive at 5 seconds is 60.95 feet

Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable.

In this question, we can represent the problem using a linear function or equation and plug in the value of our unknown.

y = 4.8 + 11.23t

Using this function, we can find the depth at 5 seconds;

y = 4.8 + 11.23(5)

y = 60.95ft

The depth of the whale at 5 seconds is 60.95 feet

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Answer:

130 degrees

Step-by-step explanation:

Since the lines that the transversal crosses through are parallel, there are certain rules that apply to the situation. One such rule is that corresponding angles are congruent. Congruent means equal. Corresponding angles are angles that are in the same position but on different vertexes. Angle <ONQ is the bottom left for the N vertex. Angle <RQS is also on the bottom left but for the Q vertex. Since they are congruent and <ONQ is 130, <RQS must also be 130.

In order to find the time of the loan in months, we can use the formula for simple interest.

I = P * r * t

I = 1365€ (interest earned).

P = $28,000 (principal amount).

r = 6.5% = 0.065 (interest rate in decimal form).

We can rearrange the formula to solve for t.

t = I / (P * r).

Substituting the values.

t = 1365€ / (28000€ * 0.065).

t ≈ 0.75.

Since there are 12 months in a year, we can multiply the result by 12.

t (months) = 0.75 * 12 ≈ 9 months.

Therefore, the time of the loan is approximately 9 months.

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Answer:

518

Step-by-step explanation:

Since you are rounding to the nearest whole number.

518.1 would need to be 518.5 or higher to be 519 so anything below that would just round up the 518

Answer: (read the explanation)

Step-by-step explanation:

To graph the solution set to the given system of inequalities, we can begin by graphing the two inequalities separately. For the first inequality, y > x^2 – 2, we can graph the function y = x^2 – 2 on the coordinate plane and shade the region above the graph. This will represent the values of x and y that satisfy the inequality.

For the second inequality, y ≥ –x^2 + 5, we can graph the function y = –x^2 + 5 on the coordinate plane and shade the region below the graph. This will represent the values of x and y that satisfy the inequality.

Next, we can combine the two graphs by intersecting the shaded regions. The resulting graph will show the solution set to the system of inequalities. The solution set can be identified as the points on the coordinate plane that are contained within the shaded region on the combined graph.

Overall, to modify the graphs of f(x) and g(x) to graph the solution set to the given system of inequalities, we can graph the functions y = x^2 – 2 and y = –x^2 + 5 on the coordinate plane and shade the regions that satisfy the inequalities. The solution set can then be identified as the points within the shaded region on the resulting combined graph.

Answer: sin C = 7/25, cos C = 24/25, tan C = 7/24

Step-by-step explanation: Use trig ratios based on angle C

Answer:

see explanation

Step-by-step explanation:

sin C = \(\frac{opposite}{hypotenuse}\) = \(\frac{AB}{AC}\) = \(\frac{7}{25}\)

cos C = \(\frac{adjacent}{hypotenuse}\) = \(\frac{BC}{AC}\)  = \(\frac{24}{25}\)

tan C = \(\frac{opposite}{adjacent}\) = \(\frac{AB}{BC}\) = \(\frac{7}{24}\)

The missing term in the equation is n = -2

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the missing term be represented as n

-2x + 18 = nx + 18

Subtracting 18 on both sides of the equation , we get

-2x = nx

Divide by x on both sides of the equation , we get

n = -2

Therefore , the missing term is n = -2

Hence , the equation is n = -2

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Answer:

I believe the standard form is: ax2+bc+c=0

Vertex form is:f(x)=a(x-h)2+k

Factored form is: y=1/2(x-6)(x+2)

Step-by-step explanation:

The ax2= ax squared and the (x-h)2= (x-h) squared

A simple random sample of M&M plain candies weights (in grams) is given by the accompanying data.

A frequency histogram should be used to determine the distribution of weights of M&Ms. The mean and median will be determined. Finally, the better measure of central tendency to describe the weight of a plain M&M will be determined.A histogram, which is a graphical representation of data distribution, is a helpful method to display the weights of M&M plain candies. In a histogram, the frequency of occurrences of observations falling within a given category is depicted on the vertical axis, and the categories are listed on the horizontal axis.The shape of the distribution of weights of M&Ms will be determined from the histogram. The mean and median of the M&M weights will be calculated. The best measure of central tendency that describes the weight of an M&M will be determined by comparing the mean and the median.

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Answer:

c = 0.17w + 0.42

$1.10

Step-by-step explanation:

Let total cost = c.

Let number of ounces = w.

total cost = fixed cost + cost per ounce

fixed cost = $0.42

cost per ounce = $0.17

cost for w ounces = $0.17w

total cost = fixed cost + cost per ounce

     c         =       0.42    +        0.17w

The expression is:

c = 0.17w + 0.42

For 4 ounces, w = 4.

c = 0.17 × 4 + 0.42

c = 1.1

Answer:

c = 0.17w + 0.42

$1.10

Simply 24/8 to 3.

-12/x = 3
Since x is the number being divided, we take the divisor and divide it by the quotient.

x = -12/3 = -4.

edward makes $20.01 back from each pair of shoes he makes

Step-by-step explanation:

$35-$14.99=$20.01

Answer: 13 m

Step-by-step explanation:

distance from starting point = root{(5)^2 + (12)^2 }

=root{ 25 + 144}

= 13

Answer:

Step-by-step explanation:

Between south direction and east direction we have right angle, so we can use Pythagorean theorem:

a² + b² = c²

a = 5 m

b = 12 m

c = the distance

\(5^2+12^2=c^2\\\\c^2=25+144\\\\c^2=169\\\\c=\sqrt{169}=13\,m\)

We are given that{x = 4, y = 7, b = (5, 4, 8)}We have to check whether it satisfies the following quantified predicate or not.(∃ x. ∃ m. b[m] < x < y)

We have to prove whether this statement is true or false.Let us try to prove it as true. Let us choose an arbitrary value for x and m.

Let us choose m=1

Then, b[m]=4And, x=6

Therefore, 4<6<7, satisfies the predicate. Hence, the given statement is true.2) We are given that{x = 1, b = (2, 8, 9)}

We have to check whether it satisfies the following quantified predicate or not.(∀x. ∀k. 0 < k < 3 → x < b[k] )

We have to prove whether this statement is true or false.Let us try to prove it as false. For that, we have to find a counterexample. We have to disprove this statement.

That is if the statement is false, then the negation of this statement should be true, and that would mean the existence of a counterexample that satisfies the negation of the statement.

Therefore, (∃x. ∃k. 0 < k < 3 ∧ x ≥ b[k] )For k=1 and k=2, we get 2 values 8 and 9. Both of them are greater than or equal to x.So, the above statement holds true, which contradicts the initial statement.

Therefore, the given statement is false.3) We are given that{x = 0, b = (5, 3, 6)}

We have to check whether it satisfies the following quantified predicate or not.(∀x. ∀k. 0 < k < 3 ∧ x < b[k] )We have to prove whether this statement is true or false.Let us try to prove it as true.

Let us choose an arbitrary value for x and k.We have, 0< k <3 and x< b[k].

Let us choose k=2.

Then, b[k]=3

Therefore, the statement x<3 holds true.So, the above statement holds true for the given state.

Therefore, the given statement is true.

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Answer:

Step-by-step explanation:

The answer is Samples. A sample is a random selection of members of a population. It is a smaller group drawn from the people with the entire population's characteristics.

I hope I have helped.

An estimate for the total volume of food and water you've ingested in the last day is 3000-5000 milliliters. On average, the heart pumps about 5 liters of blood per minute. 10-20% or more error I'm expecting. Calculating heart blood volume compared to food and drink consumption is crucial for understanding circulation and liver function.

D.1 Estimating the amount of food and water consumed in a day can be difficult without specific measurements, but a rough estimate can be made based on typical intake amounts. On average, a person may consume 2-3 liters of water and 1000-2000 calories per day, resulting in an estimated total volume of 3000-5000 milliliters.

D.2 The amount of blood pumped by the heart varies from person to person and depends on factors such as heart rate and overall health. On average, the heart pumps about 5 liters of blood per minute, which is much larger than the estimated volume of food and water intake.

D.3 Estimating food and water intake and blood flow is prone to error due to variability and uncertainties in personal measurements. Individuals' habits, health, and physical activity levels can affect these estimates, potentially resulting in a significant error of 10-20% or more.

D.4 The calculation of the heart's blood volume compared to food and drink consumption is crucial for understanding the circulation system and liver role.

The liver processes nutrients, detoxifies, and produces blood components, while the heart is responsible for circulating blood throughout the body. The vast difference in volume between the two is emphasized, emphasizing the heart's crucial role in maintaining circulation.

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When dealing with the simultaneous occurrence of two events A and B, the probability can be determined by using the probability of one event and the conditional probability of the other event given that the first event has occurred. Both P(A) * P(B|A) and P(B) * P(A|B) are valid ways to calculate this probability.

The concept of probability is fundamental in various fields such as mathematics, statistics, and even in everyday life. The probability of the simultaneous occurrence of two events A and B is a critical concept in probability theory. According to the definition, the probability of A and B occurring at the same time is equal to the probability of A multiplied by the conditional probability of B given that A has occurred. This equation is also valid in the reverse case, where the probability of B and A occurring simultaneously is equal to the probability of B multiplied by the conditional probability of A given that B has occurred.

Understanding the relationship between the probability of two events and their conditional probabilities is essential in predicting the likelihood of these events happening together. In real-life situations, this concept can be used to determine the probability of two events such as the success of a product launch and the corresponding increase in sales. The probability of these two events occurring simultaneously can be predicted by analyzing the probability of the product launch's success and the conditional probability of sales increasing given that the product launch is successful.

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Answer:

264 canned drinks

Step-by-step explanation:

Let

canned drinks in stock initially = x

Canned drinks sold out = 1/2 of x

= 1/2x

Canned drinks remaining in stock = x - 1/2x

= 1/2x

New restock = 68 canned drinks

Total drinks in stock presently = Canned drinks remaining in stock + New restock

200 = 1/2x + 68

200 - 68 = 1/2x

132 = 1/2x

x = 132 ÷ 1/2

= 132 × 2/1

x = 264 canned drinks

canned drinks in stock initially = x = 264 canned drinks

Answer:

35

Explanation

Answer:

140 units^2

Step-by-step explanation:

Area of a parallelogram is base times height, A = bh. Multiply the height (10) times the base (14) to get your final answer.

A = bh

A=14(10)

A=140units^2

Considering that a fraction is not defined when the denominator is zero, the equation is not defined for an angle of 90º.

A fraction is not defined when the denominator is zero.

In this problem, the expression is given by:

cos(θ)/(1 - sin(θ)) + cos(θ)/(1 + sin(θ)) = 4.

The denominators are zero in two cases:

Hence the equation is not defined for an angle of 90º.

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Answer:

x = 19, ARC MP = 104º

Step-by-step explanation:

9x-43 = 5x+33

4x = 76

x = 19

Arc MP = 360 - (9x-43 + 5x+33)

Arc MP = 360 - (9(19)-43 + 5(19)+33)

= 360 - 256

MP = 104º

The volume of the solid S in the given question is 5.48unit³.

A three-dimensional space's occupied volume is measured.

It is frequently expressed numerically in a variety of imperial or US-standard units as well as SI-derived units.

The definition of length and volume are connected.

So, the volume of the solid S:
An equilateral triangle's sides are shown as a cross-section.

An equilateral triangle's height is determined by:

\(h = sSin60 = \frac{\sqrt{3} }{2} s\)

Consequently, one triangle's area is:

\(A=\frac{1}{2} s h=\frac{1}{2} s \cdot \frac{\sqrt{3}}{2} s=\frac{\sqrt{3}}{4} s^2\)

The line equation that depicts the diagonal is:

\(\begin{aligned}& x+y=1 \\& y=-x+1 \\& x=-y+1\end{aligned}\)

This will indicate the s value integrate from 0 to 2 if we integrate along the y-axis.

\(\begin{aligned}& V=\int_0^2 \frac{\sqrt{3}}{4} s^2 d x \\& =\frac{\sqrt{3}}{4} \int_0^2(-y+1)^2 d x \\& =\frac{\sqrt{3}}{4} \int_0^2\left(y^2-2 y+1\right) d x \\& =\frac{\sqrt{3}}{4}\left[\frac{1}{3} y^3-y^2+y\right] \\& \left.=\frac{\sqrt{3}}{4}\left[\frac{1}{3}(2)^3-(2)^2+2\right)\right] \\& =5.48\end{aligned}\)

Therefore, the volume of the solid S in the given question is 5.48unit³.

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Correct question:
Find the volume V of the described solid S. The base of S is the triangular region with vertices (0, 0), (2, 0), and (0, 2). Cross-sections perpendicular to the y-axis are equilateral triangles.

Answer:

the equation is x^2-16

Step-by-step explanation:

sum:0=+4-4

product:-16=+4*-4

(x-4)(x+4)

when you open the brackets the equation you will obtain will be x^2-16

The two integers whose sum is 0 and product is -16 are 4 and -4 and this can be determined by using the arithmetic operations.

Given :

Two integers whose sum is 0 and the product is -16.

The following steps can be used to determine the two unknown integers:

Step 1 - Let the two unknown integers be 'a' and 'b'.

Step 2 - According to the given data, the sum of two integers is 0 that is:

a + b = 0

a = -b  --- (1)

Step 3 - Also it is given that the product of the two integers is -16 that is:

ab = -16    --- (2)

Step 4 - Substitute the value of 'a' in equation (2).

\(\rm b^2= 16\)

b = 4

Step 5 - Substitute the value of b in equation (1).

a = -4

The two integers whose sum is 0 and product is -16 are 4 and -4.

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The mean and standard deviation of the number of people with blood type a-positive in 100 randomly selected is μ=85, σ=3.5707

The standard deviation is a statistic that measures the amount of variation or dispersion of a group of values.

Standard deviation is usually abbreviated SD and is most commonly represented in mathematical texts and equations by the lower case Greek letter (sigma) for population standard deviation or the Latin letter s for sample standard deviation.

A low standard deviation indicates that the values are close to the mean of the set (also known as the expected value), whereas a high standard deviation indicates that the values are spread out over a broader range.

Given, The population proportion of success is p=0.85

And also given that the sample size is n=100

b) The population mean is:

μ=np

μ=100(0.85)

μ=85

Therefore, mean=85

And the population standard deviation is:

σ=√np(1-p)

σ=√100(0.85)(1-0.85)

σ=3.5707

Therefore, standard deviation=3.5707

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The complete question is:

" Rh - positive blood appears in 85% of the population in the USA. a) Verify that it's possible to use the normal approximation to binomial distribution if a sample size is 100 randomly selected people. b) Find the mean and standard deviation of the normal distribution."

The area under a Normal curve depends on the interval being considered and the parameters of the Normal distribution, such as its mean and standard deviation.

To determine which of the given intervals corresponds to the smallest area under a Normal curve, we need to consider the properties of the Normal distribution. The Normal distribution is a symmetric bell-shaped curve that is completely determined by its mean and standard deviation. The mean, denoted by µ, is the center of the curve, while the standard deviation, denoted by σ, determines the spread of the curve.

Option b) µ to µ + 3σ corresponds to the interval that covers almost all the area under a Normal curve, as about 99.7% of the area lies within three standard deviations of the mean. Therefore, this option cannot correspond to the smallest area under a Normal curve.

Option a) Q1 to Q3 and option d) µ - σ to Q3 both cover more area than option c) Q1 to µ + 2σ. The interval Q1 to Q3 covers the entire middle 50% of the distribution, while the interval µ - σ to Q3 covers at least 50% of the distribution, as almost all the area lies within three standard deviations of the mean. Therefore, option c) Q1 to µ + 2σ corresponds to the smallest area under a Normal curve.

In summary, the interval corresponding to the smallest area under a Normal curve is option c) Q1 to µ + 2σ.

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Answer:

(1, 0) ; (3, 0)

Step-by-step explanation:

Answer:

Negative linear relationship

Step-by-step explanation: