I need help on this........................

Answer:

5

Step-by-step explanation:

4 x 2 - 3 =

8 - 3 =

5

In order for the system to be in equilibrium, the pivot point of the seesaw should be located at a distance of 2.1 meters from the heavier child and 3.9 meters from the lighter child.

To achieve equilibrium, the moments on both sides of the pivot point need to be equal. The moment of an object is the product of its mass and its distance from the pivot point. In this case, we have two children and a seesaw bar. Let's assume the pivot point is located at a distance 'x' from the lighter child.

The moment on the left side of the pivot is given by 30kg (6m - x), where 6m is the length of the seesaw and 'x' is the distance of the pivot point from the lighter child. The moment on the right side of the pivot is given by 50kg (x) since the seesaw bar has a mass of 50kg.

For equilibrium, the moments on both sides must be equal. Therefore, we can set up the equation: 30kg (6m - x) = 50kg (x).

Simplifying the equation, we get 180 - 30x = 50x. Solving for 'x', we find x = 2.1m.

Therefore, the pivot point should be located at a distance of 2.1 meters from the heavier child and 3.9 meters from the lighter child to achieve equilibrium.

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Answer:

32

Step-by-step explanation:  

half the number is 56 - 40 which is 16 and it says half the nuber is 16 so 16 x 2 is 32

Answer:

The number is 8

Step-by-step explanation:

Lets say the number is x.

x/2=56-40

combine 56 and -40

x/2=4

multiply 2 by both sides

x= 8

Answer:

6(2y-7)

Step-by-step explanation:

We are given the values of a and b and an equation involving exponents. We need to solve for the value of x.

The given equation is [tex](a)^2[/tex] =[tex](b)^2[/tex] * [tex](x)^2[/tex].

We can solve for x by isolating it on one side of the equation. Let's rewrite the equation: [tex](a)^2[/tex] = [tex](b)^2[/tex] * [tex](x)^2[/tex]

Taking the square root of both sides, we have: [tex]\sqrt{a^2}[/tex]= [tex]\sqrt{b^2}[/tex] * [tex](x)^2[/tex]

Simplifying further, we get: a = b * x

Now we can solve for x by dividing both sides of the equation by b: x = a / b.

Substituting the given values of a and b into the equation, we have: x = 0.697 / 0.6

Evaluating this expression, we find: x ≈ 1.162

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Using the concept of combining like terms, the expression is simplified as 5/8t + 9 which is option A

To simplify the expression (7/8t + 9 - 2/8t), we can combine like terms.

First, let's combine the terms with the variable "t." We have (7/8t - 2/8t).

To combine these terms, we need to have a common denominator, which is 8t.

Now, we can rewrite the expression as (7/8t - 2/8t + 9).

Combining the like terms (7/8t - 2/8t), we get (5/8t).

Now, we can rewrite the simplified expression as (5/8t + 9).

Therefore, the simplified expression of (7/8t + 9 - 2/8t) by combining like terms is (5/8t + 9).

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Answer:

it should be greater than 100, not less than

Step-by-step explanation:

(a) The presence of a confounding variable Z, such as the severity of the fire, could make the relationship between the number of firefighters (X) and property damage (Y) spurious.

(b) The presence of a confounding variable Z, such as the popularity of the incumbent member or the characteristics of the constituency, could make the relationship between campaign spending (X) and percentage of vote (Y) spurious.

(c) The presence of a confounding variable Z, such as the overall lifestyle or socioeconomic status of the women, could make the relationship between coffee consumption (X) and the risk of depression (Y) spurious.

(d) The presence of a confounding variable Z, such as the overall economic conditions or demand for rum in Havana, could make the relationship between Presbyterian ministers' salaries (X) and the price of rum (Y) spurious.

In each of the given examples, the reported pattern of covariation between X and Y may be influenced by a confounding variable Z. A confounding variable is a variable that is related to both the independent variable (X) and the dependent variable (Y), which can lead to a spurious relationship between X and Y.

The presence of a confounding variable can create the illusion of a direct relationship between X and Y when, in reality, the observed relationship is due to the influence of Z.

For example, in the case of firefighters and property damage, the severity of the fire (Z) could be the underlying factor driving both the number of firefighters and the extent of property damage.

Similarly, in the case of campaign spending and percentage of vote, factors such as the popularity of the incumbent member or the characteristics of the constituency (Z) could be influencing both variables.

In the case of coffee consumption and the risk of depression, other lifestyle or socioeconomic factors (Z) may be responsible for the observed relationship rather than coffee itself. And in the case of Presbyterian ministers' salaries and the price of rum, economic conditions or demand for rum (Z) in Havana could be driving both variables.

Identifying and controlling for confounding variables is crucial in research to ensure accurate interpretations of the relationship between X and Y. It allows researchers to isolate the true causal relationship between the variables of interest.

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Answer:

5(2)+5(7)

Step-by-step explanation:

Answer:

(-∞,-1.25]∪[1,2.5]

Step-by-step explanation:

i'm assuming there are no answer choices, so the intervals at which there is a negative slope for this function are:

(-∞,-1.25]∪[1,2.5]

the brackets indicate that the point is included, and the parentheses indicate that it is not included. comment under my response if you need further clarification:)

Answer:

exponentail is 0 times f(x) + x

Step-by-step explanation:

Answer:

Step-by-step explanation:

in cases where we're not given x = 0, we can use division

[tex]f(x) = a*b^x\\12 = a*b^2\\48 = a*b^4\\\frac{48}{12}=\frac{ab^4}{ab^2} \\4 = b^2\\b = \pm2\\12 = a * (2)^2\\12 = 4a\\a = 3\\so\\f(x) = 3(2)^n \\or\\f(x) = 3(-2)^n\\[/tex]

since we're never given a case where x's parity is odd, we cannot determine the positivity/negativity of the common ratio

Answer: E

Step-by-step explanation:

It is the outlier

Answer:

The equation in slope-intercept form is;

[tex]y = -\dfrac{1}{4} \cdot x + 4\frac{3}{4}[/tex]

Step-by-step explanation:

The equation of a straight line in slope and intercept form is given as follows;

y = m·x + c

Where;

m = The slope of the line

c = The y-intercept of the line

The points through which the line passes are;

(7, 3) and (-1, 5), therefore, the slope of the line, m, is given as follows;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Where (x₁, y₁) = (7, 3) and (x₂, y₂) = (-1, 5), we have;

[tex]Slope, \, m =\dfrac{5-3}{(-1)-7} = -\dfrac{1}{4}[/tex]

Therefore;

[tex]\dfrac{y-3}{x-7} = -\dfrac{1}{4}[/tex]

The equation in point slope form is therefore;

[tex]y - 3 = -\dfrac{1}{4} \times (x - 7)[/tex]

From which we have;

y - 3 = -1/4×(x - 7) = -x/4 + 7/4

y = -x/4 + 7/4 + 3 = -x/4 + 19/4

The equation in slope-intercept form is therefore;

[tex]y = -\dfrac{1}{4} \cdot x + 4\frac{3}{4}[/tex]

Which can be expressed as follows

y = -0.25·x + 4.75.

The coordinates of the vertices after a reflection as follows:A → (2, 2)B → (5, 2)C → (4, 5).

Given that we are to reflect the coordinates of vertices over the line y = 3, we can conclude that the reflection will be on the x-axis.

Therefore, for a reflection in the line y = 3, the coordinates of the vertices after reflection are obtained by replacing y with 6 − y.

We are given the following triangle, therefore:

vertices coordinates for ABC: A(2, 4), B(5, 4) and C(4, 1)

For vertex A, its new coordinates after reflection will be (2, 2)

For vertex B, its new coordinates after reflection will be (5, 2)

For vertex C, its new coordinates after reflection will be (4, 5)

Hence, the coordinates of the vertices after a reflection over the line y = 3 are as follows:A → (2, 2)B → (5, 2)C → (4, 5).

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Step-by-step explanation:

To convert liters to centiliters, we need to remember that 1 liter is equal to 100 centiliters. Therefore, a 4 liter jug of Swadleys Sweeter than Honey Iced Tea contains:

4 liters = 4 x 100 centiliters/liter = 400 centiliters

So there are 400 centiliters in a 4 liter jug of Swadleys Sweeter than Honey Iced Tea.

Answer:

0.12

Step-by-step explanation:

Porcentaje quiere decir "por cada cien", por tanto:

12% = 12/100 = 0.12

el número decimal asociado a 12% es:

0.12

Answer: Let's assume that the pig pens need to be fenced in the way shown in the diagram above.

Then, the perimeter is given by

4

x

+

3

y

=

160

.

4

x

=

160

−

3

y

x

=

40

−

3

4

y

The area of a rectangle is given by

A

=

L

×

W

, however here we have two rectangles put together, so the total area will be given by

A

=

2

×

L

×

W

.

A

=

2

(

40

−

3

4

y

)

y

A

=

80

y

−

3

2

y

2

Now, let's differentiate this function, with respect to y, to find any critical points on the graph.

A

'

(

y

)

=

80

−

3

y

Setting to 0:

0

=

80

−

3

y

−

80

=

−

3

y

80

3

=

y

x

=

40

−

3

4

×

80

3

x

=

40

−

20

x

=

20

Hence, the dimensions that will give the maximum area are

20

by

26

2

3

feet.

A graphical check of the initial function shows that the vertex is at

(

26

2

3

,

1066

2

3

)

, which represents one of the dimensions that will give the maximum area and the maximum area, respectively.

Hopefully this helps!

Step-by-step explanation: hope this helps

Answer:

1: increase

2: surged

3: strengthened

Step-by-step explanation:

answers for edge <3

Answer:

increase

surged

strengthened

Just did it :)

The value of the expression 1 - 0.03 * 56 / 328 is equal to 0.9495.

To calculate the given expression, we follow the order of operations (PEMDAS/BODMAS):

Multiply 0.03 by 56: 0.03 * 56 = 1.68.

Divide the result by 328: 1.68 / 328 = 0.00512195 (rounded to 8 decimal places).

Subtract the obtained value from 1: 1 - 0.00512195 = 0.99487805.

Rounding the final result to 4 decimal places, we get 0.9495.

Therefore, the value of the expression 1 - 0.03 * 56 / 328 is 0.9495.

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Answer:

I guess the answer is

[tex] \frac{19}{20} [/tex]

The functions f(x) = sin(a) and g(x) = cos(a) are shown to be linearly independent using the Wronskian. Additionally, for a ∈ R, the functions f₁(x) = sin(x + a) and g₁(x) = cos(x + a) are shown to belong to the span of f and g. Finally, it is demonstrated that the set {f₁, g₁} is linearly independent.

To show that f(x) = sin(a) and g(x) = cos(a) are linearly independent, we can compute their Wronskian. The Wronskian of two functions is defined as the determinant of the matrix [f, g]' = [f(x), g(x)]'. In this case, the Wronskian is:
W(f, g) = |sin(a) cos(a)|
|-cos(a) sin(a)|
Calculating the determinant, we get:
det(W(f, g)) = sin(a)*sin(a) - (-cos(a)*cos(a)) = sin^2(a) + cos^2(a) = 1
Since the Wronskian is nonzero (det(W(f, g)) ≠ 0), the functions f and g are linearly independent.
Next, we consider the functions f₁(x) = sin(x + a) and g₁(x) = cos(x + a) for a ∈ R. We want to show that these functions belong to the span of f(x) = sin(a) and g(x) = cos(a). By using trigonometric identities, we can express f₁ and g₁ in terms of f and g:
f₁(x) = sin(x + a) = sin(x)cos(a) + cos(x)sin(a) = cos(a)*f(x) + sin(a)*g(x)
g₁(x) = cos(x + a) = cos(x)cos(a) - sin(x)sin(a) = cos(a)*g(x) - sin(a)*f(x)
This shows that both f₁(x) and g₁(x) can be written as linear combinations of f(x) and g(x), implying that f₁ and g₁ belong to the span of f and g.
Finally, to show that {f₁, g₁} is linearly independent, we can again calculate the Wronskian:
W(f₁, g₁) = |cos(a)*f(x) + sin(a)*g(x) cos(a)*g(x) - sin(a)*f(x)|
|cos(a)*f'(x) + sin(a)*g'(x) cos(a)*g'(x) - sin(a)*f'(x)|
Expanding the determinant, we find that det(W(f₁, g₁)) = sin^2(a) + cos^2(a) = 1. Since the Wronskian is nonzero, it indicates that {f₁, g₁} is linearly independent.
In conclusion, we have shown that f(x) = sin(a) and g(x) = cos(a) are linearly independent using the Wronskian. Additionally, for a ∈ R, f₁(x) = sin(x + a) and g₁(x) = cos(x + a) belong to the span of f and g, and the set {f₁, g₁} is linearly independent.

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The 4 questions to answer the problem are:

The question that will be used to answer this question will be a new question as follows

In 1997, there were 85,000 Netflix subscribers. The number of subscribers increased at a rate of 13.4% each year.

From the question above, we have the following:

Inital subscribers, a = 85 thousand

Rate of increase, r = 13.4%

Using the above as a guide, we have the following:

The function of the situation is

f(x) = a * (1 + r)ˣ

So, we have the following representation

f(x) = 85 * (1 + 13.4%)ˣ

This gives

(a) f(x) = 85 * (1.134)ˣ

(b) The graph is attached

(c) The initial value is 85

(d) The rate of change is 13.4%

Hence, the function is f(x) = 857000 * (1.134)ˣ

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Answer:

k=4

Step-by-step explanation:

First, we can subtract 3k on both sides. It is ultimately easier to start by subtracting the term with a variable. This would result in 45=5k+25. Then, we can subtract 25 on both sides to get closer to isolating k. This becomes 20=5k. We can then divide by 5 on both sides. This means that k=4.

Answer:

4 = k

Step-by-step explanation:

3k+45=8k+25

Subtract 3k from each side

3k-3k+45=8k-3k+25

45 = 5k+25

Subtract 25 from each side

45-25 = 5k+25-25

20 = 5k

Divide by 5

20/5 = 5k/5

4 = k

Answer:

420 m

Step-by-step explanation:

250m >>> 5cm

Everything must be of the same unit so 250 x 100 =25000 cm

If The distance between the school and the library is 8.4 then,

25000 >>> 5

?? >>> 8.4

We do cross multiplication

(25000 x 8.4) ÷ 5 = 42000cm

42000 ÷ 100 = 420 m

420 m

250m to 5cm

m and cm are not the same unit so we have to convert m to cm: 250 x 100 =25000 cm

If the distance between is 8.4

25000 is to 5

?? >>> 8.4

We do cross multiplication

(25000 x 8.4) ÷ 5 = 42000cm

Answer:

10 [tex]\geq[/tex] s*0.25 + a*0.75

Step-by-step explanation:

Assign variable for each game

s = number of Skeeball games

a = number of Air hockey games

Then write out what you know...

1. Total cost of Skeeball = s*0.25

2. Total cost of Air hockey = a*(3*0.25) -> a*0.75

So the inequality would be...

10 [tex]\geq[/tex] s*0.25 + a*0.75

Answer:

x ≈ 199.5°, x ≈ 340.5°

Step-by-step explanation:

Given

1 + 3sinx = 0 ( subtract 1 from both sides )

3sinx = - 1 ( divide both sides by 3 )

sinx = - [tex]\frac{1}{3}[/tex]

Since sinx < 0 then x is in the third/ fourth quadrants, thus

x = [tex]sin^{-1}[/tex] ([tex]\frac{1}{3}[/tex] ) ≈ 19.5° ← related acute angle, then

x = 180° + 19.5° = 199.5°

x = 360° - 19.5° = 340.5°

Solution is x = 199.5°, x = 340.5° for 0° < x < 360°

Answer:

it 4.262295082

Step-by-step explanation:

you have to divid the ounces by the cost

The value of [tex]x^{24}[/tex], where x is a positive real number and x = 28, is approximately [tex]1.6571 x 10^{34}[/tex]. When 28 is raised to the power of 24, it results in a very large number, approximately [tex]1.6571 x 10^{34}[/tex].

The value of [tex]x^{24}[/tex], where x is a positive real number and x = 28, is:

[tex]x^{24} = 28^{24}[/tex]

To calculate this value, we raise 28 to the power of 24.

Expanding the expression, we have:

[tex]28^{24} = (28 * 28 * 28 * ... * 28) (24 times)[/tex]

Computing this expression can be time-consuming, so it is best to use a calculator or mathematical software for precise calculations. The result of 28 raised to the power of 24 is a large number.

Calculating the value, we find:

[tex]28^{24} = 1.6571 x 10^{34}[/tex]

Thus, when x = 28, the value of [tex]x^{24}[/tex] is approximately [tex]1.6571 x 10^{34}[/tex].

In summary, the value of [tex]x^{24}[/tex], where x is a positive real number and x = 28, is approximately [tex]1.6571 x {10^34}[/tex].

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