Can I get an explanation for this ?

Answer:

CT = 12

Step-by-step explanation:

CA = 2

AT =10

CT = CA + AT

=12

Answer:

CT = 12

Step-by-step explanation:

CT = CA + AT = 2 + 10 = 12

The symbol for proportionality is "∝". It is read as "is proportional to" or "varies in proportion to".

Proportionality is a mathematical concept that describes the relationship between two quantities. When two quantities are proportional, it means that they have a constant ratio. For example, the distance traveled by a car is proportional to the time it takes to travel that distance. This means that if the time taken to travel doubles, then the distance traveled also doubles.

In mathematics, we use the symbol "∝" to represent proportionality. This symbol is read as "is proportional to" or "varies in proportion to". So, if we say that A ∝ B, it means that A is proportional to B. This implies that if B increases or decreases, then A also increases or decreases, but the ratio of A to B remains constant.

The concept of proportionality is used in various mathematical fields, such as algebra, geometry, and physics. It is a powerful tool for solving problems that involve relationships between quantities, and it is widely used in real-world applications, such as in engineering, economics, and statistics.

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Answer:

the answer is the chese soup has a good chance of being picked but not as good as the chicken soup. there would so 3:2 3 to 2. so if they picked the chese soup the first time then there is not a good chance of the chese soup to be picked again. I hope that helped if not et me know

Answer: 136

Step-by-step explanation:

a + ( 16 - 1 ) da + 15 d( 1 )

a = 1

d = 9

1 + 15 ( 9 )

1 + 135

136

Answer:

a₁₆ = 136

Step-by-step explanation:

the nth term of an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 1 and d = 9 , then

a₁₆ = 1 + (15 × 9) = 1 + 135 = 136

Answer:

Step-by-step explanation:

The solution is, resulting matrix:\(\left[\begin{array}{ccc}4&-1&-4\\-4&6&2\\0&8&10\end{array}\right]\)\(\left[\begin{array}{ccc}-7\\-4\\22\end{array}\right]\).

In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object. For example, is a matrix with two rows and three columns.

here, we have,

given that,

We are given a matrix,

Let A=\(\left[\begin{array}{ccc}4&-1&-4\\-4&6&2\\8&-4&6\end{array}\right]\)

and B=\(\left[\begin{array}{ccc}-7\\-4\\30\end{array}\right]\)

We have to find the resulting matrix after performing given row operations

2R2 +R3 ⇒ R3

Apply

we get,

:A=\(\left[\begin{array}{ccc}4&-1&-4\\-4&6&2\\0&8&10\end{array}\right]\)

and, B=\(\left[\begin{array}{ccc}-7\\-4\\22\end{array}\right]\)

Hence, resulting matrix

\(\left[\begin{array}{ccc}4&-1&-4\\-4&6&2\\0&8&10\end{array}\right]\)\(\left[\begin{array}{ccc}-7\\-4\\22\end{array}\right]\)

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Answer:b

Step-by-step explanation:

Based on the information provided, the price of each DVD is $11.

To calculate the price of the DVD, two main variables must be considered:

Tax is a compulsory amount that is levied on goods and services by the government. Tax serves as a form of transfer of wealth from the private individuals to the government.

Taxes increase the cost of a good or service.

Now, let's calculate the cost of each DVD:

The price of each DVD = (total cost - tax) / number of DVDs bought

The price of each DVD = (61 - 6) / 5

The price of each DVD = 55 / 5

The price of each DVD = $11

Based on this, the price of each DVD was $11, you can double-check this below
$11 x 5 = $55 (prices for the DVDs) + 6 = $61 (total price)

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Step-by-step explanation:

\( \frac{x}{8} = \frac{9}{24} \)

Cross multiply

We have

24x = 72

Divide both sides by 24

That's

\( \frac{24x}{24} = \frac{72}{24} \)

We have the answer as

3x² + 2x - 10

when x = - 1

Substitute the value of x into the expression

That's

3(-1)² + 2(-1) - 10

= 3 - 2 - 10

We have the answer as

When x = 0

That's

3(0) + 2(0) - 10

When x = 1

That's

3(1)² + 2(1) - 10

= 3 + 2 - 10

= 5 - 10

\( \sqrt{( - 9)} \)

First of all apply the radical rule

That's

\( \sqrt{ - a} = \sqrt{ - 1} \times \sqrt{a} \)

So we have

\( \sqrt{ - 9} = \sqrt{ - 1} \times \sqrt{9} \)

Using the imaginary rule

That's

\( \sqrt{ - 1} = i\)

We have

\( \sqrt{9} \times i\)

We have the final answer as

\( \frac{1}{x} \)

when x = 0

We have

\( \frac{1}{0} = 0\)

when x = 1

\( \frac{1}{1} = 1\)

when x = 2

We have

\( \frac{1}{2} \)

Hope this helps you

The mass of the wire is found to be 40π√2 units.

To calculate the mass of the wire which runs along the curve r ( t ) with the density function δ=5.

The general formula is,

Mass = \(\int_a^b \delta\left|r^{\prime}(t)\right| d t\)

To find, we must differentiate this same given curve r ( t ) with respect to t to estimate |r'(t)|.

The given integration limits in this case are a = 0, b = 2π.

Now, as per the question;

The equation of the curve is given as;

r(t) = (4cost)i + (4sint)j + 4tk

Now, differentiate this same given curve r ( t ) with respect to t.

\(\begin{aligned}\left|r^{\prime}(t)\right| &=\sqrt{(-4 \sin t)^2+(4 \cos t)^2+4^2} \\&=\sqrt{16 \sin ^2 t+16 \cos ^2 t+16} \\&=\sqrt{16\left(\sin t^2+\cos ^2 t\right)+16}\end{aligned}\)

Further simplifying;

\(\begin{aligned}&=\sqrt{16(1)+16} \\&=\sqrt{16+16} \\&=\sqrt{32} \\\left|r^{\prime}(t)\right| &=4 \sqrt{2}\end{aligned}\)

Now, use integration to find the mass of the wire;

       \(\begin{aligned}&=\int_a^b \delta\left|r^{\prime}(t)\right| d t \\&=\int_0^{2 \pi} 54 \sqrt{2} d t \\&=20 \sqrt{2} \int_0^{2 \pi} d t \\&=20 \sqrt{2}[t]_0^{2 \pi} \\&=20 \sqrt{2}[2 \pi-0] \\&=40 \pi \sqrt{2}\end{aligned}\)

Therefore, the mass of the wire is estimated as 40π√2 units.

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The complete question is-

Find the mass of the wire that lies along the curve r and has density δ.

r(t) = (4cost)i + (4sint)j + 4tk, 0≤t≤2π; δ=5

Answer:

A 0

Step-by-step explanation:

A 0

Answer: x+5x+4x=40

Step-by-step explanation:

The answer will be  : x = -- 3y -- 9

⇒ -2 (x + 3y) = 18

⇒ -(2x + 2 * 3y) = 18

⇒ -(2x + 6y) = 18

⇒ (-2x -6y) + 6y = 18 + 6y

⇒ -2x -6y + 6y = 6y + 18

⇒ -2x = 6y + 18

⇒ \(\frac{2x}{2} = \frac{-6y + 18}{2}\)

⇒ \(x = \frac{-(2*3)y + (2*3)^{2} }{2}\)

⇒ \(\frac{-2*3\frac{2*3y}{2*3} + \frac{(2*3)^{2} }{2*3} }{2}\)

⇒ \(x = \frac {2*3(y + (3)^{2 - 1}) }{2}\)

⇒ \(x = \frac{-2*3(y + 3)}{2}\)

⇒ x = -[3(y + 3)]

⇒ x = (3y + 3*3)

⇒ x = -(3y + 9)

⇒ x = - 3y - 9

WORKING NOTES :

-2 (x + 3y) = 18

[We must multiply a term and an expression in order to enlarge this word.

We'll utilize the following product distributive property:

A(B + C) = AB + AC

⇒ -(2x + 2 * 3y) = 18

The final expression, in this case, will have two terms:

The first term is a product of '2' and 'x'

the second term is a product of '2' and '3y'.]

In this term, numerical components have been multiplied.

⇒ -(2x + 6y) = 18

We must group all the variable terms on one side of the equation and all the constant terms on the other in order to solve this linear equation.

⇒ (-2x -6y) + 6y = 18 + 6y

Here, the '-' (minus)  term, -6y will be moved to the right side.

When a term "moves" from one side of the equation to the other, you'll notice that its sign changes.

Parentheses around expressions must be eliminated.

Each term in the expression changes sign if a negative sign is placed in front of it. Otherwise, the expression stays the same.

There is no negative sign in the situation.

⇒ -2x -6y + 6y = 6y + 18

In order to join like terms in this expression, we must first sum all of the numerical coefficients and, if necessary, replicate the literal section.

Nothing in a number suggests a value of 1.

There is just one set of related terms: -6y, 6y.

⇒ -2x = 6y + 18

We must eliminate the coefficient that multiplies the variable in this linear equation in order to isolate it.

If both sides are divided, then the coefficient must be removed (-2)

⇒ \(\frac{2x}{2} = \frac{-6y + 18}{2}\)

We must simplify this fraction to its simplest form.

To do this, divide the variables that occur in both the numerator and the denominator.

The common factor, in this case, is 2.

⇒ \(x = \frac{-(2*3)y + (2*3)^{2} }{2}\)

We must consider the GCF (Greatest Common Factor).

The GCF and the original expression, split by the GCF, provide the final term.

⇒ \(\frac{-2*3\frac{2*3y}{2*3} + \frac{(2*3)^{2} }{2*3} }{2}\)

GCF in this case is 2*3.

The fraction \(\frac{2*3y}{2*3}\) must be lowered to its simplest form. To do this, divide the variables that occur in both the numerator and the denominator.

Here, the common factor is 2*3.

⇒ \(x = \frac {2*3(y + (3)^{2 - 1}) }{2}\)

The expression must be lowered to its simplest form.

Driving out the components that exist in both the numerator and the denominator will accomplish this.

2*3 is a common factor.

⇒ \(x = \frac{-2*3(y + 3)}{2}\)

Numerical terms in the factor {y + (3²⁻¹)} is added which makes it (y + 3)

The fraction will then be broken down into its smallest terms next.

To do this, divide the variables that occur in both the numerator and the denominator.

2 is the common factor.

⇒ x = -[3(y + 3)]

⇒ x = -(3y + 3*3)

We must multiply a term and an expression in order to expand this term.

We'll utilize the following product distributive property:

A=AB+AC = A(B + C)

The final expression, in this case, will have two terms:

"3" and "y" are the product in the first term.

The second term is the result of the numbers 3 and 3.

⇒ x = -(3y + 9)

This term's numerical terms have been multiplied by three (3*3 = 9).

⇒ x = - 3y - 9

The parenthesis around expressions must be eliminated.

Each term in the expression changes sign if a negative sign is placed in front of it.

Otherwise, the expression stays the same.

The signs of the following two terms will now change. -(3y + 9) = - 3y - 9

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Answer:

Cy

Step-by-step explanation:

x is the number of hours

Answer:

I think it is C you should practice This is easy

Step-by-step explanation:

Answer:

Let's define the variables:

x = yards of Organza ribbon that you buy.

y = yards of Satin ribbon that you buy.

We know that the price per yard of Organza ribbon is $0.07, this means tat if you buy x yards, the cost will be:

C = x*$0.07

And the cost of the Satin ribbon is $0.04, so if you buy y yards of that ribbon, the cost will be:

C = y*$0.04

Adding that together, the total cost is:

C = x*$0.07 + y*$0.04

Now we know that you pay $5, this means that the total cost is exactly $5, then we have the equation:

$5 = x*$0.07 + y*$0.04

Now we can isolate the variable y to get:

y = ($5/$0.04) - x*($0.07/$0.04)

y = 125 - x*1.75

Now we can just input different values of x to find the correspondent value of y.

This means that:

if x = 0 (0 yards of the Organza ribbon)

then:

y = 125 - 0*1.75 = 0

This combination is:

0 yards of organza, and 125 yards of satin.

Now, if x = 20, then:

y = 125 - 20*1.75  = 90

This combination is:

20 yards of organza, and 90 yards of satin.

if x = 40, then:

y = 125 - 40*1.75 = 55

This combination is:

40 yards of organza, and 55 yards of satin.

The 3 combinations that we found cost exactly $5.

Answer: 111.1 m

Step-by-step explanation:

(30*2)/60 = 1 km ( the tunnel length is 1 Km.)

1 Km = 1000 m.

1000/9 = 111.1 m.

It is more likely for them to make at least $5,000 in profit if they sell a larger quantity of treats. This can be achieved by implementing effective marketing strategies, setting an appealing price, and targeting a wide audience.

Let's say the team decides to sell the candy bars and sodas for $1 each. In this case, they will make $1 in revenue for each candy bar and can of soda sold.

Now, let's calculate the costs. The team spent $1000 to start the fundraiser, which is a fixed cost that does not depend on the number of treats sold. In addition, they spend $0.30 on each candy bar and can of soda sold.

To break even, the revenue needs to equal the total cost. Let's denote the number of treats they need to sell to break even as "x". The revenue from selling x treats would be $1 multiplied by x. The total cost would be the sum of the fixed cost and the cost per treat multiplied by the number of treats sold.

Equation to break even: Revenue = Cost

1x = $1000 + $0.30x

To solve for x, we can subtract $0.30x from both sides and then divide both sides by 0.70:

0.70x = $1000

x = $1000 / 0.70

x ≈ 1428.57

So, they need to sell approximately 1429 treats to break even.

To make at least $5,000 in profit, we need to calculate the revenue required to cover the costs and generate the desired profit. Let's denote the number of treats they need to sell to make this profit as "y".

Equation to make at least $5,000 in profit: Revenue = Cost + Profit

1y = $1000 + $0.30y + $5000

Simplifying the equation:

0.70y = $6000

y = $6000 / 0.70

y ≈ 8571.43

So, they need to sell approximately 8572 treats to make at least $5,000 in profit.

Whether it is likely for them to make at least $5,000 in profit depends on various factors, such as the demand for treats, the number of people attending the games, and the team's marketing efforts. If they can attract a large number of customers and successfully sell the treats, it is possible for them to make at least $5,000 in profit.

In general, it is more likely for them to make at least $5,000 in profit if they sell a larger quantity of treats. This can be achieved by implementing effective marketing strategies, setting an appealing price, and targeting a wide audience.

Additionally, if they can minimize their costs (such as by negotiating better deals for purchasing treats), they would have a better chance of reaching their profit goal.

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Answer:

-282

Step-by-step explanation:

Any altitude below sea level would have a negative sign in front of it.

Answer:

b

Step-by-step explanation:

b

The proof to show that ∆AEC and ∆BDC are similar in the blanks is below;

<BDC and <AEC are right angles by the definition of perpendicular lines and all right angles are congruent, So, <BDC≅AEC. Both ∆AEC and ∆BDC share <C, and <C ≅ <C by the reflexive property. Therefore, ∆AEC ~ ∆BDC by the SAS criterion for proving similar triangles.

A triangle is a three sided polygon. The type of triangles includes:

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Answer:

B

Step-by-step explanation:

Answer:

7 : 6 is the ratio

Step-by-step explanation:

14 apples were green and 12 apples were red, so divide both terms by 2.

14 ÷ 2 = 7

12 ÷ 2 = 6

Therefore:

14 : 12 = 7 : 6.

Answer:

43

Step-by-step explanation:

Sum means total

n+7=50

n=50-7

n=43

Scatterplots are effective tools for visualizing relationships, detecting outliers, identifying clusters, examining data distributions, and comparing multiple groups.

A scatterplot is most useful in the following situations:

1. Relationship Analysis: When you want to analyze the relationship between two continuous variables, a scatterplot can help visualize any patterns or trends in the data. It allows you to see how the variables are related and whether there is a positive, negative, or no correlation between them.

2. Outlier Detection: Scatterplots can help identify outliers in a dataset. Outliers are data points that deviate significantly from the overall pattern, and they can have a large impact on statistical analyses. By plotting the data points on a scatterplot, you can easily spot any observations that are far away from the general trend.

3. Clustering or Grouping: If you suspect that your data may exhibit clustering or grouping behavior, a scatterplot can reveal these patterns. It allows you to visually identify any distinct clusters or groups of data points, which can provide insights into different subsets or categories within your data.

4. Data Distribution: Scatterplots can provide an overview of the distribution of data points. By examining the spread and concentration of points across the plot, you can gain insights into the overall distribution shape, such as whether it is uniform, skewed, or follows a specific pattern.

5. Comparison of Multiple Groups: Scatterplots can be useful when comparing data points from different groups or categories. By using different colors or shapes to represent different groups, you can visually compare their distributions and observe any differences or similarities.

They provide a graphical representation that can aid in analyzing and making decisions or drawing conclusions based on the patterns and trends observed in the data.

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Failing to reject H0 in the test for significance of regression means that at least one of the regressor constants is equal to 0, but it does not specify which regressor constant(s) or the status of the intercept.

In regression analysis, the test for significance of regression examines whether the independent variables (regressors) collectively have a significant impact on the dependent variable. The null hypothesis, H0, assumes that all the regressor coefficients are equal to 0, indicating no relationship between the independent and dependent variables.

If the test fails to reject H0, it means that there is not enough evidence to conclude that all of the regressor coefficients are significantly different from 0. However, this does not imply that they are all equal to 0. It is possible that some regressor coefficients are non-zero, while others may be zero.

Failing to reject H0 does not provide information about the intercept or imply that it is equal to 0. It also does not specify that only one of the regressor constants is equal to 0. It simply indicates that there is insufficient evidence to conclude that all of the regressor constants are non-zero.

In summary, when the test for significance of regression fails to reject H0, it suggests that at least one of the regressor constants is equal to 0, but it does not provide information about the intercept or the specific regressor constants that may be zero.

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Answer:

its either b or d

Step-by-step explanation:

b or d is the answer

Answer:

n = 1/5

Step-by-step explanation:

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

5(n− 1 /10 )= 1/ 2

Step 1: Simplify both sides of the equation.

5(n− 1 /10 )= 1 /2

(5)(n)+(5)( −1 /10 )= 1/2

(Distribute)

5n +  −1 /2 = 1 /2

Step 2: Add 1/2 to both sides.

5n +  −1 /2  +  1 /2  =  1 /2  +  1 /2

5n=1  

Step 3: Divide both sides by 5.

5n /5  =  1 /5

n=  1 /5

The domain of f is the set of all real numbers f(x,y) as (x,y) varies throughout the domain D with three variables.

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.

The functions of a point (or vector) in R2 or R3 that have real values will now be looked at. These functions will typically be defined on sets of points in R2, but there will be occasions when we utilise points in R3 and when it is more convenient to think of the points as vectors (or terminal points of vectors).

Each point f(x,y) in D is given a real number f(x,y) according to a real-valued function f defined on a subset D of R2. The domain of f is the set of all real numbers f(x,y) as (x,y) varies throughout the domain D, and the range of f is the greatest set D in R2 on which f is defined.

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