Help Its really important

The Constitutional Convention created the Electoral College

A.
to create a simple system for electing a member of the executive branch of government.

B.
to limit the terms that a president could serve, thus reducing the likelihood of a de facto monarchy.

C.
to create a compromise between those who wanted a single leader and those who wanted a cabinet of equals.

D.
to balance the views of those who wanted the elite to vote with those who wanted more of the population to vote.

Answer:

Step-by-step explanation:

3n  +4 sequence

n = 1 ,   3*1 + 4 = 3 + 4 = 7

n = 2 ;   3*2 + 4 = 6 + 4 = 10

n = 4 ;   3*3 + 4 = 9 + 4 = 13

n = 5 ;   3 *4 + 4 = 12 + 4 = 16

Sequence :  7, 10, 13 , 16, ........

4n - 5

n= 1 ;      4*1 - 5 = 4 - 5 =  -1

n = 2;    4*2 - 5 = 8 - 5 = 3

n = 3 ;   4*3 - 5 = 12 - 5 = 7

n = 4 ;   4*4 - 5 = 16 - 5 = 11

Sequence: -1, 3 , 7 , 11 ,........

Answer:

missing angle <60 and side lengths 5, 5\(\sqrt{3}\)

Step-by-step explanation:

we understand from the given information that  the triangle in question is a special right triangle

and since this is a special triangle the side lengths follows :

the side length that sees <90 is represented by 2x

the side length that sees <60 is represented by x\(\sqrt{3}\)

and the side length that sees <30 is represented by x

2x = 10 so x = 5 and  x\(\sqrt{3}\) = 5\(\sqrt{3}\)

The z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.

The z-score for P(z ≥ ?) = 0.30 is approximately -0.52.

How to find the Z score

P(Z ≤ z) = 0.60

We can use a standard normal distribution table or a calculator to find that the z-score corresponding to a cumulative probability of 0.60 is approximately 0.25.

Therefore, the z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.

For the second question:

We want to find the z-score such that the area under the standard normal distribution curve to the right of z is 0.30. In other words:

P(Z ≥ z) = 0.30

Using a standard normal distribution table or calculator, we can find that the z-score corresponding to a cumulative probability of 0.30 is approximately -0.52 (since we want the area to the right of z, we take the negative of the z-score).

Therefore, the z-score for P(z ≥ ?) = 0.30 is approximately -0.52.

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Answer:

The Circumference of the circle is 18.84 ft.

Step-by-step explanation:

Here,

Diameter = 2 × Radius

d = 2(3) ft

d = 6 ft

Now,

C = πd

C = 3.14 × 6

C = 18.84 ft

Thus, The Circumference of the circle is 18.84 ft.

-TheUnknownScientist 72

Answer:

B.   3,158

Step-by-step explanation:

h(x) = -49x − 125

Let x = -67

h(-67) = -49(-67) − 125

          =3283-125

          = 3158

Answer:

Answer B

Step-by-step explanation:

To find the value of h(-67) for the function h(x) = -49x - 125,

we substitute -67 for x in the function and evaluate it.

h ( - 67 ) = - 49 ( - 67 ) - 125

Now we can simplify the expression:

h ( -67 ) = 3283 - 125

h ( -67 ) = 3158

Answer:

$7.80

Step-by-step explanation:

0.800 x $39 = $31.20.

So for this sale, you'll save $31.20 on this item.

This means, the cost of the item to you is

$39 - $31.20 = $ 7.80.

Answer:

I believe that the answer is $4 and 87 cents

Step-by-step explanation:

In the new design, the width at which the reflector (CD) would be at its widest point is "18".

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.

Hence,

In the given graph by concluding we observe that  on the x-axis, one step is 2 units, and when we half each of the steps it will= 1 unit

Therefore,

CD = distance from -(8+1) to (8+1)

= distance between -9 to 9 which is 18.

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Answer:

(-3, 19)

Step-by-step explanation:

The probability of guessing the correct answer for each question is 1/4, while the probability of guessing incorrectly is 3/4.

To calculate the probability of answering at most one correct answer, we need to consider two cases: answering zero correct answers and answering one correct answer.

For the case of answering zero correct answers, the probability can be calculated as (3/4)^5, as there are five independent attempts to answer incorrectly.

For the case of answering one correct answer, we have to consider the probability of guessing the correct answer on one question and incorrectly guessing the rest. Since there are five questions, the probability for this case is 5 * (1/4) * (3/4)^4.

To obtain the probability of answering at most one correct answer, we sum up the probabilities of the two cases:

Probability = (3/4)^5 + 5 * (1/4) * (3/4)^4.

Therefore, by calculating this expression, you can determine the probability of answering at most one correct answer among five questions when guessing randomly.

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Answer:

mRQ = 50

Step-by-step explanation:

180-130=50

SSS - Side - Side - Side

SAS - Side - Angle - Side

ASA - Angle - Side - Angle

AAS - Angle - Angle - Side

The above theorems can be used to compare two triangles.

SSS, which stands for "side, side, side," represents two triangles having identical angles on each of their three sides. Two triangles are said to be congruent if their third sides coincide with those of another triangle.

That is what the SAS regulation says. The triangles are congruent if the two sides and included angle of one triangle match the two sides and included angle of the other triangle. Any angle that may be made by two particular sides is regarded as an included angle.

A triangle is comparable to another if its two matching angles are congruent, according to the AAA postulate of Euclidean geometry. The AAA postulate is derived from the observation that the total internal angle of a triangle is always equal to 180°.

While in case of ASA the angle - side and another angle of first triangle is equal to the corresponding angle - side - angle of other triangle.

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SSS, SAS, ASA, and AAS are four types of triangle congruence.

SSS (Side-Side-Side) is the congruence of three sides of a triangle. This means that all three sides of the triangle have the same length. To prove SSS congruence, you need to show that the corresponding sides of the two triangles have the same length. This can be done by calculating the length of each side and comparing them.

SAS (Side-Angle-Side) is the congruence of two sides and the included angle of a triangle. This means that the two sides of the triangles must have the same length, and the angles between those two sides must also be the same. To prove SAS congruence, you need to show that the corresponding sides of the two triangles have the same length, and that the angles between those two sides are also the same.

ASA (Angle-Side-Angle) is the congruence of two angles and the included side of a triangle. This means that the two angles of the triangles must have the same measure, and the side between those two angles must also be the same length. To prove ASA congruence, you need to show that the corresponding angles of the two triangles have the same measure and that the side between those two angles is also the same length.

AAS (Angle-Angle-Side) is the congruence of two angles and a non-included side of a triangle. This means that two angles of the triangles must have the same measure, and the side not included between those two angles must also be the same length. To prove AAS congruence, you need to show that the corresponding angles of the two triangles have the same measure, and that the side not included between those two angles is also the same length.

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Answer:

normal force decreases

Step-by-step explanation:

N=mgcosθ, and cosine decreases as theta increases

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Answer:

A) decreases

Step-by-step explanation:

As the angle of the incline increases, the normal force decreases, which decreases the frictional force. The incline can be raised until the object just begins to slide.

The solution of the differential equation for the given initial conditions is x = e^-2t (-1/2 cos(3t) + sin(3t))

The equation of motion of the spring-mass-damper system is given by2x'' + 8x' + 26x = 0

            where x is the displacement of the mass from its equilibrium position, x' is the velocity of the mass, and x'' is the acceleration of the mass.

The characteristic equation for this differential equation is:

                          2r² + 8r + 26 = 0

Dividing by 2 gives:r² + 4r + 13 = 0

Solving this quadratic equation, we get the roots: r = -2 ± 3i

The general solution of the differential equation is:

                    x = e^-2t (c₁ cos(3t) + c₂ sin(3t))

where c₁ and c₂ are constants determined by the initial conditions.

Using the initial conditions x(0) = -1 m and x'(0) = 2 m/s,

we get:-1 = c₁cos(0) + c₂

              sin(0) = c₁c₁ + 3c₂ = -2c₁

              sin(0) + 3c₂cos(0) = 2c₂

Solving these equations for c₁ and c₂, we get: c₁ = -1/2c₂ = 1

Substituting these values into the general solution, we get:x = e^-2t (-1/2 cos(3t) + sin(3t))

The solution of the differential equation for the given initial conditions is x = e^-2t (-1/2 cos(3t) + sin(3t))

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Answer:

f(x) → -∞ as x → -∞

f(x) → -∞ as x → +∞

Step-by-step explanation:

The given function is;

f(x) = -5x^(6) + 8x^(5) - 1/(x² - 9x)

Using long division to divide this as attached, we have;

f(x) = -5x⁴ - 37x³ - 333x² - 2997x - 26973 + (-242757x - 1)/(x² - 9x)

Thus, the leading coefficient here is -5 and the polynomial degree is 4.

Since the leading coefficient is negative and the degree of the polynomial is an even number, then we can say that the behavior of the polynomial is;

f(x) → -∞ as x → -∞

f(x) → -∞ as x → +∞

The slοpe οf the line passing thrοugh the pοints (-2,-4) and (3,-4) is 0.

In mathematics, slοpe refers tο the measure οf the steepness οf a line. It is defined as the ratiο οf the vertical change (rise) between twο pοints.

Tο find the slοpe οf the line passing thrοugh the pοints (-2,-4) and (3,-4), we can use the slοpe fοrmula:

slοpe = (change in y) / (change in x)

Let's call the first pοint (-2,-4) "pοint 1" and the secοnd pοint (3,-4) "pοint 2". Then, we have:

change in y = y2 - y1 = (-4) - (-4) =

change in x = x2 - x1 = 3 - (-2) = 5

Substituting these values intο the slοpe fοrmula, we get:

slοpe = (change in y) / (change in x) = 0 / 5 = 0

Hence, the slοpe οf the line passing thrοugh the pοints (-2,-4) and (3,-4) is 0.

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No, it is not true that ∫_0^1 l(θ | x0) dθ = 1. The integral of the likelihood function l(θ | x0) over the parameter space [0, 1] does not necessarily equal 1.

The likelihood function l(θ | x0) measures the probability of observing the data x0 given the parameter value θ. It is a function of the parameter θ, and not a probability distribution over θ.

Therefore, the integral of the likelihood function over the parameter space does not have to equal 1, unlike the integral of a probability density function over its support.

In fact, the integral of the likelihood function over the parameter space is often referred to as the marginal likelihood or the evidence, and is used in Bayesian inference to compute the posterior distribution of the parameter θ given the data x0. The marginal likelihood is given by: ∫_0^1 l(θ | x0) p(θ) dθ

where p(θ) is the prior distribution of the parameter θ. The marginal likelihood is used to normalize the posterior distribution so that it integrates to 1:
p(θ | x0) = l(θ | x0) p(θ) / ∫_0^1 l(θ | x0) p(θ) dθ

In conclusion, the integral of the likelihood function over the parameter space does not necessarily equal 1, and is used in Bayesian inference to compute the posterior distribution of the parameter θ given the data x0.

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Answer:

$13.31

Step-by-step explanation:

blehn  b;eoj

Answer:

$13.31

Step-by-step explanation:

First, take the original price and apply the discount of 20% by converting the percentage into a decimal (0.2)

16 x 0.2

= 3.2

Next, take away that amount from the original price

16 - 3.2

= 12.8

Now calculate the tax with the new price by converting the percentage into a decimal (0.04)

12.8 x 0.04

= 0.512

Finally, add the tax to the new amount

12.8 + 0.512

= 13.312

Round if necessary.

To find the perimeter of a quadrilateral, we add up the lengths of all four sides.

Let's assume the lengths of the sides of the quadrilateral are:

Side AB = a, Side BC = b, Side CD = c, Side DA = d

The perimeter (P) of the quadrilateral is given by:

P = AB + BC + CD + DA

Therefore, the perimeter of the quadrilateral is a + b + c + d.

A quadrilateral is a polygon with four sides. It is a two-dimensional shape formed by connecting four straight line segments. Some common examples of quadrilaterals include squares, rectangles, parallelograms, trapezoids, and rhombuses.

Here are some key properties and characteristics of quadrilaterals:

1. Sides: A quadrilateral has four sides, which are line segments connecting the vertices.

2. Angles: A quadrilateral has four angles formed at the vertices. The sum of the interior angles in any quadrilateral is always equal to 360 degrees.

3. Diagonals: Diagonals are line segments connecting non-adjacent vertices of the quadrilateral. A quadrilateral has two diagonals.

4. Area: The area of a quadrilateral depends on its shape and can be calculated using various formulas specific to each type of quadrilateral.

Quadrilaterals have diverse properties and are commonly encountered in geometry, mathematics, and everyday objects. They are used in various fields such as architecture, engineering, and design to represent and analyze shapes and structures.

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Answer:

25

Step-by-step explanation:

175 ÷ 7 =25

Answer:

a = Yes, because 3/4 can be written as 6/8 and 6/8 minus 1/8 is 5/8ths which is greater then 1/2.

b = Kelly used 1/8 more than 1/2 of the tank. : )

The equations are solved and:

a) Kelly used more than 1/2 of a tank.

b) Kelly used 5/8 of a tank more than 1/2 of a tank.

Given data ,

a)

To determine if Kelly used more or less than 1/2 of a tank, we can compare the initial amount of gas (3/4 of a tank) with the remaining amount at the end of the week (1/8 of a tank).

On simplifying the equation , we get

If the remaining amount (1/8 of a tank) is less than 1/2 of a tank, then Kelly used more than 1/2 of a tank. Conversely, if the remaining amount is greater than 1/2 of a tank, then Kelly used less than 1/2 of a tank.

So, 1/8 of a tank is less than 1/2 of a tank.

Therefore, Kelly used more than 1/2 of a tank.

b)

To determine how much more or less than 1/2 of a tank Kelly used, we can find the difference between the initial amount (3/4 of a tank) and the remaining amount (1/8 of a tank).

The difference can be calculated as follows:

3/4 - 1/8 = 6/8 - 1/8 = 5/8

On simplifying the equation , we get

Therefore, Kelly used 5/8 of a tank more than 1/2 of a tank.

Hence , the equations are solved.

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Hi there,

please see below for solution steps :

‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗

First let us revise the rounding rules before getting down to the process of rounding :

\(\sf{763.9 \ to \ the \ nearest \ whole \ number :}\\\hfill\stackrel{\small\text{add 1 }}{3^{+1}}.\\\hfill\stackrel{\small\text{drop it}}{9}}\)

\(\sf{763.9\approx764}\)

‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗

Answer:

1.

x=-10

x=-6

2.

x=10

x=-3

Step-by-step explanation:

to find the zeros of a function you need to set it equal to zero:

x^2+16x+60=0

then you factor

(x+10)(x+6)=0

then you have to finish factoring/simplifying

x+10=0

  -10

x=-10

x+6=0

 -6

x=-6

and the same thing for number 2

x^2-7x-30=0

(x-10)(x-3)=0

x=10, x=3

Answer:

1.) x = -10, x = - 6

2.) x = 10, x = -3

Step-by-step explanation:

1.) factorize and set the equation to zero by multiplying a and c and finding factors of it that will result in b once added/subtracted

\(x^2+16x+60\\(x+10)(x+6)\\(x+10)(x+6)=0\\x=-10, x=-6\)

2.) do the same for number 2:

\(x^2-7x-30\\(x-10)(x+3)\\(x-10)(x+3)=0\\x = 10, x = -3\)

i hope this helped!

Answer:

\((a)\ \tan A = \frac{5}{12}\)

\((b)\ \cos B = \frac{5}{13}\)

Step-by-step explanation:

Given

See attachment for triangles

Solving (a)

\(\tan(A)\)

The tan of an angle is:

\(\tan(\theta) = \frac{Opposite}{Adjacent}\)

From the given triangle.

\(Opposite = 5\)

\(Adjacent = 12\)

So, we have:

\(\tan A = \frac{5}{12}\)

Solving (b)

\(\cos(B)\)

The cos of an angle is:

\(\cos(\theta) = \frac{Adjacent}{Hypotenuse}\)

From the given triangle.

\(Adjacent = 5\)

\(Hypotenuse = 13\)

So, we have:

\(\cos B = \frac{5}{13}\)

Answer:

C.  -18

Step-by-step explanation:

Scalar Product (Dot Product) of two vectors

\(\displaystyle \vec{a} \cdot \vec{b}=\sum_{i=1}^na_ib_i\)

\(\textsf{If }\: \vec{a}=a_1\hat{i}+a_2\hat{j}+a_3\hat{k} \quad \textsf{and } \quad \vec{b}=b_1\hat{i}+b_2\hat{j}+b_3\hat{k}\)

\(\textsf{then }\quad \vec{a} \cdot \vec{b}=a_1b_1+a_2b_2+a_3b_3\)

Given:

⇒ v₁ · v₂ = (3 · 2) + (-4 · 6)

⇒ v₁ · v₂ = 6 + (-24)

⇒ v₁ · v₂ = 6 - 24

⇒ v₁ · v₂ = -18

Based on the given information, we cannot determine the value of x using the equation. To find the value of x, we need an equation that represents the relationship between the dimensions of the rectangle and its area.

Let's assume that the length of the rectangle is x feet. The width can be represented as 75/x since the area of a rectangle is given by the product of its length and width.

Therefore, the equation that represents the relationship between the dimensions and the area is:

x * (75/x) = 75

Simplifying the equation:

75 = 75

This equation is an identity and holds true for any value of x. Hence, this equation does not provide any information to determine the value of x.

Therefore, based on the given information, we cannot determine the value of x using the equation.

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