Which statement about the data is true

Answer:

correct

Step-by-step explanation:

She is correct.

For any integer, n, 5n is a multiple of 5.

5n + 3 is 3 more than a multiple of 5.

Start with 82. Subtract 3. Now you have 79.

79 is not a multiple of 5, so 5n + 3 will not contain the term 82.

Answer:

The number I got is 61.777 but you wanna round up so the answer is 61.78

Answer:

40 Rs per kg.

Step-by-step explanation:

solution

Let the rate of tea be x Rs per kg and that of sugar be y Rs per kg.

When Kantabai bought the items by going to the shop,

3/2x+5y+50=700

⇒3x+10y=1300....(I)

When Kantabai bought the items online then

2x+7y=880......(II)

Multiplying (I) with 2 and (II) with 3 we get

6x+20y=2600......(III)

6x+21y=2640.......(IV)

eq.(IV)−(III)

y=40

Putting the value of y =40 in (II)

2x+7(40)=880

⇒2x=880−280=600

⇒x=300

Thus, tea is at 300 Rs per kg and sugar is 40 Rs per kg.

Answer:

No, because the product of the slopes is not -1

Step-by-step explanation:

Slope of DE

m = (y2-y1)/(x2-x1)

m = (4 - -2)/(3 - 1) = 6/2 = 3

Slope of FG

m = (y2-y1)/(x2-x1)

m = (0 - 2)/(4 - -1) = -2/5

Product of the slopes of two perpendicular lines is −1

Product of DE and FG = 3(-2/5) = -6/5

Yes, they are directly proportional to each other. Reliability and validity: are related in that for a measure to be valid, it must be reliable. are inversely proportional to each other. are independent of each other. are related in that reliability is a necessary and sufficient condition for validity. are directly proportional to each other.

What are directly proportional terms?

The relationship between two values when their ratio equals a constant number is known as a direct proportion or direct variation. It is symbolized by the proportional sign (). Since the other variable is reversed in this case, the inversely proportional relationship is really represented by the same symbol.

For instance, if x and y are two numbers or variables that are intimately connected to one another, we may say x y. The ratio of x and y becomes equal to a constant when the proportionality sign is removed, for example, x/y = C, where C is a constant. In contrast, x and y are represented as x 1/y or XY = C in the case of inverse proportion.

reliability and validity: are related in that for a measure to be valid, it must be reliable. are inversely proportional to each other. are independent of each other. are related in that reliability is a necessary and sufficient condition for validity. are directly proportional to each other.

Yes they are directly proportional to each other. as they increase

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Answer

74.40

Step-by-step explanation:

circumference= 2πr

so, 12×2×pi= 24π

24π= 75.39822369

=75.40

To set up the double integral for calculating the flux of the vector field \(F⃗ (x,y,z)=xi⃗ +yj⃗ t\). The final answer is the flux of \(F⃗\) through the open-ended circular cylinder is \(288π.\)

Through the open-ended circular cylinder of radius 8 and height 9 with its base on the xy-plane and centered about the positive z-axis, we need to use the divergence theorem.

Let S be the surface of the cylinder and V be the region enclosed by the surface. The divergence theorem states that the flux of \(F⃗\) through S is equal to the triple integral of the divergence of \(F⃗\)over V.

\(div(F⃗ )\)= \(∂Fx/∂x + ∂Fy/∂y + ∂Fz/∂z\) \(= 1 + 1 + 0 = 2\)

Therefore, the flux of \(F⃗\) through S is given by the triple integral of 2 over V, which can be written as a double integral over the cross-sectional area of the cylinder at a fixed z-value:

\(Φ = ∬S F⃗ · dS = ∬D F⃗ · n⃗ dS = ∫ ∬D (F⃗ · k⃗ ) dA\)

where D is the circle of radius 8 in the xy-plane centered at the origin, \(k⃗\)is the unit vector in the z-direction, and dA is the area element in the xy-plane. To evaluate the double integral, we can use cylindrical coordinates (r, θ, z):\(Φ = ∫0^9 ∫0^8 2r dz dr dθ\)

The limits of integration for z and r come from the height and radius of the cylinder, while θ ranges from 0 to 2π because of the circular symmetry.

Simplifying the double integral, we get:

Φ = 2 ∫\(0^9\) ∫\(0^8\) r dz dr dθ

= 2 ∫\(0^9\) \(8r\) dθ

= \(2(8)(9)(2\pi )\)

= 288π

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Answer:

c:8

Step-by-step explanation:

10/25 = r/20

25r = 200

25       25

r = 8

There are 3 mangoes left behind after making 39 trays of 9 mangoes each

To find out how many trays can be made from 354 mangoes, we divide the total number of mangoes by the number of mangoes per tray.

Number of mangoes per tray = 9

Number of trays = 354 mangoes / 9 mangoes per tray

Number of trays = 39 trays

So, 39 trays can be made from 354 mangoes.

To determine how many mangoes are left behind, we subtract the number of mangoes used for the trays from the total number of mangoes.

Number of mangoes left behind = Total number of mangoes - Number of mangoes used for trays

Number of mangoes left behind = 354 mangoes - (39 trays * 9 mangoes per tray)

Number of mangoes left behind = 354 mangoes - 351 mangoes

Number of mangoes left behind = 3 mangoes

Therefore, there are 3 mangoes left behind after making 39 trays of 9 mangoes each

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Step-by-step explanation:

I might not get you all correct

A metric can be used to help us determine the extent of how much an outcome is achieved.

A metric is a quantifiable gauge that is employed to assess, scrutinize, and appraise diverse facets of a system, procedure, or outcome. It furnishes a standardized and unbiased approach to gauge and monitor performance or advancement towards particular objectives or goals. Metrics are commonly formulated based on precise criteria or prerequisites and can manifest as numerical or qualitative in essence.

They find application in various domains such as commerce, finance, science, engineering, and myriad others to evaluate performance, facilitate well-informed decisions, and oversee progress over time.

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it's infinitely many bc the equations have the same line

Answer:

a1x + b1y + c1 = 0

a2x + b2y + c2 = 0

Here a1, b1, c1, a2, b2, c2 are all real numbers.

Note that, a12 + b12 ≠ 0, a22 + b22 ≠ 0

Step-by-step explanation:

How many solutions does the following system have?

y = -2x – 4

y = 3x + 3

Solution:

Given y = -2x – 4

y = 3x + 3

Rewriting to the general form

-2x – y – 4 = 0

3x – y + 3 = 0

Comparing the coefficients,

(a1/a2) = -⅔

(b1/b2) = -1/-1 = 1

(a1/a2) ≠ (b1/b2)

Hence, this system of equations will have only one

The original recipe had 0.9 cups of bananas.

Using only fresh ingredients, strawberry banana smoothie is a simple, nutritious dish. It is creamy, sweet, nutritious, and dairy- or dairy-free can be used to make it. The ideal summertime smoothie. Putting the strawberries, frozen banana, milk, and yoghurt in a blender and mixing until smooth and creamy is all that is required to make it.

Cups of strawberries = 1.75

No. of cups added of banana = 1/2

                                            = 0.5

No. of cups of banana smoothie have = 14.

The original recipe had = 1.4 - 0.5

                                   = 0.9

Hence, the original recipe had 0.9 cups of bananas.

Correct Question :

to make a strawberry banana smoothie, a recipe calls for 1.75 cups of strawberries and some bananas. to make the recipe taste more like banana, 1/2 cup more banana was added to the blender. the smoothie now has 1.4 cups of bananas. how many cups of bananas were in the original recipe?

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Answer:

H = (-1,3)

G = (-1,-1)

Step-by-step explanation:

The interval of convergence for the given power series is (2, 8).

To find the interval of convergence for the given power series. We have the power series:

∑(n=2 to ∞) ((x-5)ⁿ)/(3ⁿ)

To find the interval of convergence, we'll use the Ratio Test. For the Ratio Test, we need to compute the limit:

L = lim (n → ∞) |(a_(n+1)/a_n)|

For our series, a_n = ((x-5)ⁿ)/(3ⁿ). Therefore, a_(n+1) = ((x-5)(n+1))/(3(n+1)). Now, let's compute the ratio:

|(a_(n+1)/a_n)| = |(((x-5)(n+1))/(3(n+1))) / (((x-5)ⁿ)/(3ⁿ))|

Simplify the expression:

|(a_(n+1)/a_n)| = |(x-5)/3|

The series converges if L < 1. So we have:

|(x-5)/3| < 1

Now, we'll solve for x to find the interval of convergence:

-1 < (x-5)/3 < 1

Multiply each term by 3:

-3 < x-5 < 3

Add 5 to each term:

2 < x < 8

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It would take 5040 cubic inches of water to completely fill the aquarium.

We know that the formula for the volume of cuboid :

V = length × width × height

Let us assume that l represents the length of the aquarium, w represent the width and h represents the height.

Here, l = 20 inches

w = 14 inches

and h = 18 inches

Using the formula for the volume of cuboid, the volume of aquarium would be,

V = l × w × h

V = 20 × 14 × 18

V = 5040 cu.in.

Therefore, it would take 5040 cu.in. of water.

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As the consumption rate of 1997  estimated 2,000 billion barrels of oil last in 74.34 approx 75 year .

As here the rate of 1997 is not given which will be find in the below link which is 73.7000 millions barrels per day was the consumption of oil. here we have awalible the data of per days and we have to calculate for year so in year 1997 there was 365 days  so comsumption of oil yearly was .

1997 consumption = 73.700 million barrels per day

so for 1 year 73.700 million *365 =26,900.5 million barrels per day

her we find the rate of yearly so by this rate we will calculate the consumption of 2000 billion barrels of oil

2000 billion = 2,000,000 millions

here we are calculation this in million

so for 2,000,000 million will be

2,000,000 million /26,900.5 million =74.34 year

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Answer:

85 - 40 = 45 ÷ 3 weeks = $15

Writing linear equations given two points can be a useful skill when graphing linear equations.

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Average is determined by the sum of test scores divided by total number of tests. This can be represented in this equation:

95 + X / 2 = 92 ⇒ Multiply both sides by 2 to get of the divided by 2

95 + X /2 (2) = 92 (2)

95 + X = 184 ⇒ Subtract 95 from both sides to isolate x

95 -95 + X = 184 -95

X = 89

Therefore, they must get at least 89% to maintain an A.

The table for the function c{b} is -

{b} :     1      2     3       4

c{b} : 3.5   7.0   10.5  14  

Given is that the number of loaves of bread purchased and the total cost of the bread in dollars can be modeled by the equation c = 3.5b.

We can write the table for the function c{b}  as -

b          c{b}  

1           3.5

2          7.0

3          10.5

4          14

Therefore, the table for the function c{b} is -

{b} :     1      2     3       4

c{b} : 3.5   7.0   10.5  14  

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25 kilometers is approximately equal to 15.5343 miles ( rounded to four decimal places )

The conversion factor from kilometers to miles is 0.621371.

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

So, to convert kilometers to miles you can multiply the number of kilometers by 0.621371.

The distance in kilometer = 25 kilometers

The distance in miles = conversion factor × The distance in kilometer

Substitute the values in the equation

The distance in miles = 25 × 0.621371

Multiply the numbers

=  15.5343 miles (to three decimal places).

Therefore, 25 km is 15.5343 miles

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Answer:

2*(-3)= -6

Step-by-step explanation:

I do not see how "a*b=2a-3b" would change the fact 2 times negative 3 is -6

Answer:

Step-by-step explanation:

Answer:

\(x=0, \dfrac{1}{2}, -\dfrac{1}{2}\)

Step-by-step explanation:

\(4x^3-x=0 \\\\x(4x^2-1)=0 \\\\x(2x-1)(2x+1)=0 \\\\x=0, \dfrac{1}{2}, -\dfrac{1}{2}\)

Hope this helps!

Answer:

x=0    x = 1/2        x = -1/2

Step-by-step explanation:

4x^3 - x=0

Factor out an x

x(4x^2 -1) =0

Factor inside the parentheses  ( difference of squares  a^2 -b^2 = (a-b)(a+b))

x (2x-1)(2x+1) =0

Using the zero product property

x=0  2x-1 =0   2x+1 =0

x =0 2x=1       2x = -1

x=0    x = 1/2        x = -1/2

Answer:

B. 2488π

Step-by-step explanation:

Formula: πr2h

π x 12^2 x 17 = π x 144 x 17 = 2488π

Answer:

6

Step-by-step explanation:

Plug the values of a and b into the equation.

4(3) + 5(-1.2)

12 + (-6)

Adding negatives basically means subtracting, so...

12-6 = 6

Therefore your answer is 6

Hope this helps!

Answer:

6

Step-by-step explanation:

4 a + 5 b

a=3 and b= -1.2

4(3) +5(-1.2)

12 +-6

6

The given statement to prove is: A ∧ B, A → C, B → D ⊢ C ∧ D.TFL stands for Truth-Functional Logic, which is a formal system that allows us to make deductions and prove the validity of logical arguments.

The steps to prove the given statement using basic TFL are as follows:1. Assume the premises to be true. This is called the assumption step. A ∧ B, A → C, B → D.2. Apply Modus Ponens to the first two premises. That is, infer C from A → C and A and infer D from B → D and B.3. Conjoin the two inferences to get C ∧ D.

4. The statement C ∧ D is the conclusion of the proof, which follows from the premises A ∧ B, A → C, and B → D. Therefore, the statement A ∧ B, A → C, B → D ⊢ C ∧ D is true, which means that the proof is valid in basic TFL. Symbolically, the proof can be represented as follows:

Premises: A ∧ B, A → C, B → DConclusion: C ∧ DProof:1. A ∧ B, A → C, B → D (assumption)2. A → C (premise)3. A ∧ B (premise)4. A (simplification of 3)5. C (modus ponens on 2 and 4)6. B → D (premise)7. A ∧ B (premise)8. B (simplification of 7)9. D (modus ponens on 6 and 8)10. C ∧ D (conjunction of 5 and 9).

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Answer: B- Sabrina’s work 5+c+c+c -4. Hope this helps !! :)

Answer: B 5 + c + c + c minus 4 = 3 c minus 1

I got this right on Edg 2021

Hope this helps :)

the coefficient of determination is 0.7, indicating that the independent variables explain 70% of the variation in the dependent variable.

The coefficient of determination, also known as R-squared, is a measure of how well the independent variables explain the variation in the dependent variable. It is calculated as the ratio of the explained variation to the total variation.

In this case, SST (total sum of squares) is 800 and SSE (error sum of squares) is 240. Therefore, the explained sum of squares (SSE) is 800 - 240 = 560.

The coefficient of determination is then calculated as:

R-squared = explained variation / total variation

R-squared = 560 / 800

R-squared = 0.7

Therefore, the coefficient of determination is 0.7, indicating that the independent variables explain 70% of the variation in the dependent variable.

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The coefficient of determination (R²) in this multiple regression analysis involving 15 independent variables and 200 observations is equal to 0.7.

To find the coefficient of determination, we'll use the following terms:

SST (total sum of squares), SSE (sum of squared errors), and

the formula R² = 1 - (SSE / SST).

the values for SST (800) and SSE (240).

Using the formula, we can calculate the coefficient of determination (R²) as follows:

R² = 1 - (SSE / SST)

R² = 1 - (240 / 800)

R² = 1 - 0.3

R² = 0.7

The coefficient of determination (R²) in this multiple regression analysis involving 15 independent variables and 200 observations is equal to 0.7.

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