boy a and boy b are pushing a heavy table in the west direction at the same time with 10 units of force each.what is the net force acting on the object ?in which direction the table will move?​

Answer:

D

Step-by-step explanation:

Answer:

oranges $3.50 per Kg, bananas $3 per Kg

Step-by-step explanation:

let b represent cost of bananas and o represent cost of oranges , then

2b + 3o = 16.5 → (1)

o = b + 0.5 → (2)

substitute o = b + 0.5 into (1)

2b + 3(b + 0.5) = 16.5 ← distribute parenthesis on left side and simplify

2b + 3b + 1.5 = 16.5

5b + 1.5 = 16.5 ( subtract 1.5 from both sides )

5b = 15 ( divide both sides by 5 )

b = 3

substitute b = 3 into (2)

o = 3 + 0.5 = 3.5

cost of oranges = $3.50 and cost of bananas = $3

The value of Circulation = 7p²π + 7p³/3 and Flux = 0

To find the circulation and flux of the vector field F = -7yi + 7xj around and across the closed semicircular path, we need to calculate the line integral of F along the path.

Circulation:

The circulation is given by the line integral of F along the closed path. We split the closed path into two segments: the semicircular arch and the line segment.

a) Semicircular arch (r1(t) = (-pcos(t))i + (-psin(t))j):

To calculate the line integral along the semicircular arch, we parameterize the path as r1(t) = (-pcos(t))i + (-psin(t))j, where t ranges from 0 to π.

The line integral along the semicircular arch is:

Circulation1 = ∮ F · dr1 = ∫ F · dr1

Substituting the values into the equation, we have:

Circulation1 = ∫ (-7(-psin(t))) · ((-pcos(t))i + (-psin(t))j) dt

Simplifying and integrating, we get:

Circulation1 = ∫ 7p²sin²(t) + 7p²cos²(t) dt

Circulation1 = ∫ 7p² dt

Circulation1 = 7p²t

Evaluating the integral from 0 to π, we find:

Circulation1 = 7p²π

b) Line segment (r2(t) = -ti, -p ≤ t ≤ 0):

To calculate the line integral along the line segment, we parameterize the path as r2(t) = -ti, where t ranges from -p to 0.

The line integral along the line segment is:

Circulation2 = ∮ F · dr2 = ∫ F · dr2

Substituting the values into the equation, we have:

Circulation2 = ∫ (-7(-ti)) · (-ti) dt

Simplifying and integrating, we get:

Circulation2 = ∫ 7t² dt

Circulation2 = 7(t³/3)

Evaluating the integral from -p to 0, we find:

Circulation2 = 7(0 - (-p)³/3)

Circulation2 = 7p³/3

The total circulation is the sum of the circulation along the semicircular arch and the line segment:

Circulation = Circulation1 + Circulation2

Circulation = 7p²π + 7p³/3

Flux:

To calculate the flux of F across the closed semicircular path, we need to use the divergence theorem. However, since the field F is conservative (curl F = 0), the flux across any closed path is zero.

Therefore, the flux of F across the closed semicircular path is zero.

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Step-by-step explanation:

a)

135

/ \

3. 45

/ \

3. 15

/ \

3. 5

b)

250

/ \

10 .25

/\ / \

2 5. 5 5

c)

351

/ \

3. 117

/ \

3. 39

/ \

3. 13

Hope it helps :)

Let P represent the initial value

Let r represent annual growth rate

let n represent the number of periods

p = 890

r=3.5%

n = 10 ( since a decade is 10 years, 99 years after will be 10 decades)

the formula to calculate the value after 99 years is given by

The value of the quantity after 99 years is 1255.43

A result is called "statistically significant" when the p-value is less than the significant level, typically 0.05.

This means that there is less than a 5% chance that the results are due to chance alone, and suggests that there is a real effect present in the data.

The Null Hypothesis is the assumption that there is no significant difference between the measured phenomenon and a certain value or set of values. A statistically significant result means that the observed data are inconsistent with the assumption of no difference, or no effect.

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If cholesterol level were changed to being measured in grams instead of milligrams, the correlation between fat content and cholesterol level would not be affected.

This is because correlation is a measure of the strength and direction of the linear relationship between two variables, and converting the units of measurement does not change the underlying relationship between the variables. So, the correlation coefficient of 0.75 would remain the same whether cholesterol level is measured in milligrams or grams.

The correlation between fat content and cholesterol level for the 20 different brands of American cheese slices is 0.75. If you change the measurement of cholesterol level from milligrams to grams (1 gram = 1000 milligrams), it will not affect the correlation. The correlation coefficient will remain 0.75, as it is unit-less and only represents the strength and direction of the relationship between the two variables.

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The length of the shorter leg of the triangle ABC is approximately 24.49 units. Let's denote the right triangle ABC, where C is the right angle.

Let D be the midpoint of AB, and E be the foot of the altitude from C to AB. Then we have:

CD = 1/2 AB (definition of median)

CE = 12 (given altitude to the hypotenuse)

Let x be the length of the shorter leg of the triangle ABC. Then we have:

AE = x (definition of altitude)

EB = AB - x (definition of complementary leg)

By the Pythagorean theorem, we have:

AC^2 = AB^2 + BC^2

(2CD)^2 = AB^2 + x^2

AB^2 = 4CD^2 - x^2

By the similarity of triangles AEC and ABC, we have:

CE/AC = AE/AB

12 / (AB + BC) = x / AB

AB = x / (12/x + 1)

Substituting AB into the previous equation, we get:

4CD^2 - x^2 = x^2 / (12/x + 1)^2

Simplifying and solving for x, we get:

x^4 - 576x^2 - 14400 = 0

This is a quadratic equation in x^2, so we can solve for it using the quadratic formula:

x^2 = [576 ± sqrt(576^2 + 4*14400)] / 2

x^2 = [576 ± 624] / 2

Since x is a length, we take the positive square root:

x^2 = 600

x ≈ 24.49

Therefore, the length of the shorter leg of the triangle ABC is approximately 24.49 units.

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Answer:

see the attachment photo.

Answer:

I believe it would be Option A) 38

Answer:

answer is in explanation

Step-by-step explanation:

with multiplication of fractions just have to multiply horizontally across.

Answer:

Step-by-step explanation:

Im sorry I think it might be 2/4

Answer:

Step-by-step explanation:

To find the number of cakes Kit can make, we need to divide the total amount of sugar (5 cups) by the amount of sugar required for each cake (3/4 cup).

5 ÷ 3/4 = (5 × 4/3) ÷ (3/4) = 20/3 ÷ 3/4 = 20/3 × 4/3 ÷ 3/4 = 20/3 ÷ 3/3 ÷ 4/4 = 20/3 ÷ 1 ÷ 4/4 = 20/3 ÷ 1 ÷ 1 = 20/3 ÷ 1 = 20/3= 6 2/3 cakes

So Kit can make 6 2/3 cakes. This fraction cannot be reduced further, so it is the final answer.

Answer:

-7

Step-by-step explanation:

30=-5d-5

-5d=30+5

-5d=35

d=35/-5

d=-7

The value of γ is greater than 1 for any v > 0, greater than 10 for v > 0.995c, and greater than 100 for v > 0.99995c.

To determine for what speed (in terms of c) the value of γ is greater than 1, 10, and 100, we'll use the formula for the Lorentz factor (γ):
γ = 1 / √(1 - v²/c²)
where v is the speed and
c is the speed of light.

(a) For γ > 1:
Since γ is always greater than 1 for any speed v greater than 0, we can say that γ is appreciably greater than 1 for any v > 0.

(b) For γ > 10:
We need to solve the equation 10 = 1 / √(1 - v²/c²) for v/c:
Squaring both sides, we get 100 = 1 / (1 - v²/c²).
Now, solve for v²/c²: v²/c² = 1 - 1/100 = 99/100.
So, v/c = √(99/100), which implies v > 0.995c for γ > 10.

(c) For γ > 100:
Similar to (b), solve the equation 100 = 1 / √(1 - v²/c²) for v/c:
Squaring both sides, we get 10000 = 1 / (1 - v²/c²).
Now, solve for v²/c²: v²/c² = 1 - 1/10000 = 9999/10000.
So, v/c = √(9999/10000), which implies v > 0.99995c for γ > 100.

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The correct option is A. The volume is 6.77 cubic units

The function and interval given are f(x) = (x - 1)^-1/4 and the x-axis on the interval (1, 6].

We want to find the volume of the solid of revolution when the region is rotated about the x-axis.

Let's consider the graph of the function: graph{(x-1)^(-1/4) [-10, 10, -5, 5]}

To set up the integral to find the volume of the solid of revolution, we can use the disk method.

We need to integrate the area of each disk perpendicular to the x-axis from x = 1 to x = 6.

The area of a disk is given by the formula: A = πr²

where r is the radius of the disk and is equal to f(x) in this case.

Therefore, the area of a disk is: A = πf(x)²

Let's substitute f(x) into this formula and integrate from x = 1 to x = 6 to get the volume of the solid.

We have The integral that should be used to find the volume of the solid is given as:

V = ∫₁⁶ πf(x)² dx

We substitute f(x) = (x - 1)^(-1/4) into this expression and integrate to get the volume.

We have: V = ∫₁⁶ π(x - 1)^(-1/2) dx

Let u = x - 1, so that du/dx = 1 and dx = du.

When x = 1, u = 0, and when x = 6, u = 5.

Therefore, we have: V = ∫₀⁵ πu^(-1/2) du= 2π[u^(1/2)]₀⁵= 2π(√5 - 1) ≈ 6.77 cubic units.

The volume of the solid of revolution when the region is rotated about the x-axis is approximately 6.77 cubic units.

Thus, the correct option is A. The volume is 6.77 cubic units.

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If (6*1.33) - 8 equals anything, it's -0.02

If you want your answer to be 16, X must equal 4

Step-by-step explanation:

=0.085×102.99=8.754

111.744

The set of points at which the function f(x, y) = xy/(8ex − y) is continuous is the set of all points (x, y) such that 8ex ≠ y.

To determine the set of points at which the function is continuous, we need to check if the limit of the function exists and is equal to the value of the function at that point.

Taking the limit of the function as (x,y) approaches (a,b) gives:

lim_(x,y)→(a,b) f(x,y) = lim_(x,y)→(a,b) xy/8ex-y

Using L'Hopital's rule, we can find that the limit is equal to \(ab/8e^(b-a)\).

The function is continuous for all points (a,b) in \(R^2\).

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Answer:

801.66

Step-by-step explanation:

calculator

Answer:

801.6632653061

Step-by-step explanation:

.......

The highest exponent of x in F(x) is 37, which means the algebraic degree of the function is 37.

The function F(x) is a cubic function.

Here, we have,

given function is:

F(x) = α⁴⁹ * x³⁷ + α⁵² * x²⁸ + α⁸¹ * x¹³ + α²⁶ * x⁹ + α³¹ * x

To determine the algebraic degree of the given (7,7)-function F(x), we need to find the highest exponent of x in the function.

F(x) = α⁴⁹ * x³⁷ + α⁵² * x²⁸ + α⁸¹ * x¹³ + α²⁶ * x⁹ + α³¹ * x

The algebraic degree of a polynomial function corresponds to the highest exponent of the variable in the function.

Linear functions have an algebraic degree of 1, affine functions have an algebraic degree of 1 or 0, quadratic functions have an algebraic degree of 2, and cubic functions have an algebraic degree of 3.

so, we get,

The highest exponent of x in F(x) is 37, which means the algebraic degree of the function is 37.

Therefore, the function F(x) is a cubic function.

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Answer:

79.7°

Step-by-step explanation:

You hava to do this =

\(180-100.3=79.7\)

Answer:

79.7°

Step-by-step explanation:

Supplementary angles add up to 180°

100.3 + x = 180

Subtract 100.3 from both sides

x = 79.7°

Answer:

I think  40 percent

Step-by-step explanation:

Answer:

95 people ate pizza

Step-by-step explanation:

Add the ones highlighted

Answer:

sorry I don't know buddy but have a nice day

Step-by-step explanation:

2-_7372773648++_+$

Answer:

-5/3 x (-1/8 )= 5/24 = 0.2083333

Step-by-step explanation:

We conclude that the conjecture that the quotient of a number and its reciprocal is always equal to 1 is not correct.

Conjecture: The quotient of a number and its reciprocal is always equal to 1.

To test this conjecture, let's consider a specific number, x, and its reciprocal, 1/x.

According to the conjecture, the quotient of x and its reciprocal should be 1.

Let's perform the calculation:

\(x / (1/x) = x * x/1 = x^2\)

Based on the calculation, we see that the quotient of x and its reciprocal simplifies to x^2, not necessarily equal to 1. Therefore, the conjecture is not true in general.

Hence, we conclude that the conjecture that the quotient of a number and its reciprocal is always equal to 1 is not correct.

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Answer:

it’s in order but switch the 3/8 and the 1/4?

Step-by-step explanation:

Answer:

\( {a}^{2} + {b}^{2} = {c}^{2} \\ {a}^{2} + {5}^{2} = {13}^{2} \\ {a}^{2} + 25 = 169 \\ {a}^{2} = 169 - 25 \\ {a}^{2} = 144 \\ a = 12\)

\( \sin(B) = \frac{Opposite}{hypotenuse} = \frac{5}{13} \\ \\ \\ \cos(B) = \frac{adjacent}{hypotenuse} = \frac{12}{13} \\ \\ \\ \tan(B) = \frac{opposite}{adjacent} = \frac{5}{12} \)

Answer:

1/2

Step-by-step explanation:

A process of analysing, purifying, manipulating, and modelling data in order to find relevant information, come to conclusions, and enhance decision-making is known as data analytics.

It entails posing queries and providing answers utilising quantitative and statistical methods for explanatory and prescriptive analysis. Descriptive, diagnostic, predictive, and prescriptive analytics are the four basic categories of data analysis.

Diagnostic analytics is used to determine the reason why something occurred, whereas descriptive analytics is used to report what has already occurred.

The use of predictive analytics, on the other hand, enables the prediction of likely future events. Last but not least, prescriptive analytics is employed to decide what steps should be taken in order to accomplish a particular result or goal in light of the knowledge gleaned from descriptive, diagnostic, and predictive analytics.

By using these different types of analytics, individuals will be able to gather and analyze data to better understand trends, identify problems, and make informed decisions.

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Answer:

y = 45 + 5(x - 5)

where y is the total cost of the ad, and x is the total number of lines in the ad

Step-by-step explanation:

Let x = number of lines in the ad

Let y = total cost

If the cost of the ad is $45 for the first 5 lines and $5 for each additional line then the expression for the total cost of the ad is:

y = 45 + 5(x - 5)

Answer:

equation: y = 5(x-5) + 45

Explanation:

Here "y" represents the total money earned. "x" represents the earning from additional line. the constant variable is "45" and does not change.