4x+3y=23 x-5y=0 substitution

Answer:

-4

It would be -4 because the midpoint of a line is the point thats right in the middle.

With the given parameters, the width of the 80% CI for the normal distribution's mean is roughly 1.5.

The following formula can be used to determine the width of an 80% confidence interval (CI) for the mean of a normal distribution with unknown variance, the sample mean 9, sample variance 6, and sample size 15:

width = t * (s / √(n))

where s is the sample standard deviation (the square root of the sample variance), n is the sample size, and t is the value from the t-distribution with n-1 degrees of freedom for an 80% CI (from a t-table or calculator).

We must first determine the sample standard deviation:

s = √(6) ≈ 2.45

Then, we can find the worth of t from a t-table or mini-computer for a 80% CI with 14 levels of opportunity (15-1):

Lastly, these numbers can be used to calculate the 80% CI width:

With the given parameters, the width of the 80% CI for the normal distribution's mean is roughly 1.5.

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Answer:

6 3/250

Step-by-step explanation:

So we see that we have 6 wholes and then 0.012 left over right?

Then we can also see that this would be pronounced as 12 "thousandths" and that would indicate 12/1000. Now we have a mixed fraction 6 12/1000

Simplifying this would get you

6 3/250.

Hope this helps :)

Answer:

false

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Quadratic equations have the highest degree on x as 2 (a squared value). The given equation has x^3 (assuming x3 is x^3 and not 3x), meaning that the equation is a cubic equation.

Answer:

5/8

Step-by-step explanation:

1/5 x 5

1

1/8 x 5

5/8

We can conclude that the square pyramid has a volume of 111.5 in³.

A square pyramid in geometry is a pyramid with a square base.

It is a right square pyramid with C4v symmetry if the apex is perpendicular to and above the square's center.

It is an equilateral square pyramid, the Johnson solid J1 if all edge lengths are equal.

A polyhedron with seven faces is called a heptahedron.

One "normal" heptahedron exists, and it is formed up of a surface with one side made up of four triangles and three quadrilaterals.

So, 6.6 inches wide is the square pyramid's base.

The square pyramid's height is 7.7 inches or h.

V = a²(h/3) is the formula for the square pyramid's volume.

By changing the values given:
V = 6.6²(7.7/3)

V = 43.56(2.56)

V = 111.51 ≈ 111.5

Therefore, we can say that the square pyramid has a volume of 111.5 in³.

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Answer:

68k

Step-by-step explanation:

you replace x with 70,000 and subtract 2k then you have your answer :)

Dont forget to say thanks if this helped :)

The correct answers are, the simple experiments that have a sample space containing seven outcomes are option C and F.

The simple experiments that have a sample space containing seven outcomes are:
Rolling a standard number cube (with numbers 1-6)
Selecting a marble from a bag containing 4 red and 3 orange marbles
These experiments have a sample space of seven because there are seven possible outcomes for each experiment. For example, when rolling a standard number cube, the possible outcomes are 1, 2, 3, 4, 5, 6, which totals to seven outcomes.

Similarly, when selecting a marble from a bag containing 4 red and 3 orange marbles, the possible outcomes are either a red or orange marble, which also totals to seven outcomes.
Your answer:

The simple experiments that have a sample space containing seven outcomes are:
C) selecting a random day of the week
F) selecting a marble from a bag containing 4 red and 3 orange marbles

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The variables as length are L and width is W and the system of equations is L = 2W - 3 and 42 = 2(L + W) and the length and width are 13 feet and 8 feet respectively.

A rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

Area of rectangle = length × width.

As per the given total fencing = 42 feet

Let's say the length is L and the width is W.

As per the given,

L = 2W - 3

Perimeter = 2(length + width)

42 = 2(L + W)

21 = 2W - 3 + W

21 + 3 = 3W

W = 8 feet

And, L = 2(8) - 3 = 13 feet

Hence "The variables as lengths are L and width is W and the system of equations is L = 2W - 3 and 42 = 2(L + W) and the length and width are 13 feet and 8 feet respectively".

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Hello!

453 millions

= 453 000 000

The 125 feet long line and the angles 65°10', and 60°10' obtained from the surveying equipment gives the length of the bridge as approximately 1234.2 feet.

Given;

Location of the tree = The other side of the river from the surveyor

Length of the line measured along the river, L = 125 feet

Angle to the tree from the start of the line = 65°10'

1° = 60'

10' = ((1/60)×10)° = (1/6)°

65°10' = (65 + 10/60)° = (65 + 1/6)°

Angle measured at the end of the line, E = 60°10'

Similarly;

E = 60°10' = (60 + 1/6)°

The interior angle, S, of the triangle formed by the tree and the line, at the start of the line is therefore;

Angle S = 180° - (65 + 1/6)° = (114+5/6)° (linear pair angles)

S = (114+5/6)°

From the angle sum property of a triangle, angle formed at the tree, T, is therefore;

T = 180° - ((114+5/6)° + (60 + 1/6)°) = 5°

According to the rule of sines, we have;

l/(sin T) = b/(sin E)

Where;

b = The length of the bridge

Which gives;

124/(sin 5°) = b/(sin (60 + 1/6)°)

b = (sin (60 + 1/6)°) × (124/(sin 5°)) ≈ 1234.2

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The number of costumes made is 6.

What is a number?

A number is a numerical unit of measurement and labeling in mathematics. Number words are a linguistic way to express numbers. More commonly, specific numbers can be represented using symbols known as numerals; for instance, the numeral "5" stands in for the number five. Basic numbers are frequently grouped in a numeral system, which is an ordered manner to represent any number, because only a small number of symbols can be learned. The Hindu-Arabic numeral system, which enables the depiction of any number using a combination of 10 basic numeric symbols, is the most widely used method of numeration. In addition to counting and measuring, numerals are frequently used for labelling (like phone numbers), for ordering, and other purposes (as with serial numbers).

The number of costumes made = 67.5/11.25 = 6

Hence, 6 costumes are made.

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I think the slope is 4.

slope=rise/run

=20/5=4

Let alpha be an acute angle such that tan(alpha) = 3/4. Then:

sin(alpha) = 3/5 and cos(alpha) = 4/5.

We can use the Pythagorean identity for tangent to find the values of sine and cosine. Specifically, if tan(alpha) = opposite/adjacent, then we can let opposite = 3 and adjacent = 4. Using the Pythagorean theorem, we can find the hypotenuse to be 5.

Then, we can write sin(alpha) = opposite/hypotenuse = 3/5 and cos(alpha) = adjacent/hypotenuse = 4/5. These values allow us to compute other trigonometric functions such as secant, cosecant, and cotangent. For example, sec(alpha) = 1/cos(alpha) = 5/4 and csc(alpha) = 1/sin(alpha) = 5/3.

The values of sine and cosine are important in many applications of trigonometry, including geometry, physics, and engineering.

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Answer: Right

Step-by-step explanation:

Answer:

Your answers for #2 and #4 are incorrect.

Step-by-step explanation:

For #2:

For #4:

Greek number prefixes are employed in the naming of molecular (covalent) substances.

Greek number prefixes are employed in the naming of molecular (covalent) substances. Prefixes are always combined in order of size (left-to-right in the table below). For instance, "heptadecatetracta" (7 + 10 + 400) would be the prefix for the number 417.

We utilise prefixes (mono-, di-, tri-, etc.) at the beginning of each element in molecular compounds to denote the element's subscript, but we only use the prefix mono- for the compound's second element.

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The numbers that replace A, B and C are given as follows:

To calculate the numeric value of a function or of an expression, we substitute each instance of any variable or unknown on the function by the value at which we want to find the numeric value of the function or of the expression presented in the context of a problem.

The function for this problem is given as follows:

y  = x² + x.

The letter A is replaced by the numeric value at x = -1, hence:

y = (-1)² + (-1)

y = 1 - 1

y = 0.

The letter B is replaced by the numeric value at x = 0, hence:

y = (0)² + (0)

y = 0.

The letter B is replaced by the numeric value at x = 1, hence:

y = 1² + 1

y = 2.

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s = side length of square

4s = perimeter of square

L = length of rectangle

W = width of rectangle

P = 2L+2W = perimeter of rectangle

4s = 2L+2W .... since we want the perimeters the same

4s = 2(L+W)

s = 0.5(L+W)

s^2 = (0.5(L+W))^2 ... square both sides

s^2 = 0.25(L+W)^2

The last equation shows the area of the square, s^2, in terms of L and W. This way we can connect the square to the rectangle.

-----------------------------------

The area of the rectangle is LW

Let's subtract this from the area of the square and see what we get

A = area of square = s^2

B = area of rectangle = LW

C = difference in area

C = A - B

C = s^2 - LW

C = 0.25(L+W)^2 - LW

C = 0.25(L^2+2LW+W^2) - LW

C = 0.25L^2+0.5LW+0.25W^2-LW

C = 0.25L^2-0.5LW+0.25W^2

C = 0.25(L^2-2LW+W^2)

C = 0.25(L-W)^2

Regardless of what we pick for L and W, the expression (L-W)^2 is always positive. Squaring a negative number leads to a positive result.

So C is always positive as long as \(L \ne W\)

If C > 0, and C = A - B, then

C > 0

A-B > 0 .... replace C with A-B

A > B .... add B to both sides

This shows the square area is always larger than the rectangle.

Again this only works if L and W are different values. If L = W, then the argument falls apart because the rectangle becomes the square.

We make \(L \ne W\) to have a nonsquare rectangle.

A., 10 inches.

Hope this helps!

We can conclude that 45°, 90°, 135°, or 180° angle of rotation would carry a regular octagon onto itself.

As it is given in the description itself, rotations about the center of 45°, 90°, 135°, or 180° all result in an octagonal projection.

Therefore, we can say that 45°, 90°, 135°, or 180° angle of rotation would carry a regular octagon onto itself.

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From the question, the first table is not a function while the other two tables are functions.

A function is a correspondence or mapping from a first set of numbers, called the domain of the function, to a second set of numbers, called the range of the function, such that for each member of the domain there is exactly one member of the range.

A function is said to be one-to-one if every y value has exactly one x value mapped onto it, and many-to-one if there are y values that have more than one x value mapped onto them. This graph shows a many-to-one function.

4) We see that all the y-values are the same or equal. Thus, we can say that it is not a function because it doesn't match the definition above.

5) Yes the table describes a function because all input values produces a unique output y-value.

6) Yes, the table represents a function because all input values produces a unique output y-value.

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Answer:

h = 5 units

Step-by-step explanation:

Given that,

The area of the parallelogram, A = 35 unit²

In the attached figure, we can see that the base is 7 unit.

We know that,

Area of a parallelogram, A = b × h

So,

\(h=\dfrac{A}{b}\\\\h=\dfrac{35}{7}\\\\h=5\ units\)

So, the value of h is equal to 5 units.

To switch the given double integral to polar coordinates and sketch the region, follow the steps outlined below. Please note that I will provide the process and explanation but will not evaluate the integral as per your request.

Given double integral: ∫[0 to 5] ∫[5-x to 2√(4x^2 + y^2)] dy dx

Step 1: Sketch the region:

To understand the region of integration, let's analyze the bounds of the integral. The inner integral limits, y = 5 - x to y = 2√(4x^2 + y^2), indicate that the region is bounded by two curves. The outer integral limits, x = 0 to x = 5, specify the range of x-values. Sketch the region in the xy-plane by plotting these curves and determining their intersection points.

Step 2: Convert to polar coordinates:

To switch to polar coordinates, we need to express the given integral in terms of polar variables. In polar coordinates, x = rcosθ and y = rsinθ. Convert the limits of integration and the differential area element (dA) to polar form.

The new limits for the outer integral will be θ = ? to θ = ? (to be determined based on the region's shape in the polar coordinate system). For the inner integral, the limits will be r = ? to r = ? (to be determined based on the curves in polar form).

Step 3: Set up the polar integral:

Once the limits are determined, the new integral will be ∫[θ_lower to θ_upper] ∫[r_lower to r_upper] f(r, θ) r dr dθ, where f(r, θ) represents the integrand in polar coordinates.

Step 4: Evaluate the integral:

At this point, we have successfully switched to polar coordinates and set up the polar integral. However, since you requested not to evaluate the integral, you can proceed with the given setup to solve the integral at a later time or using numerical methods.

In summary, to switch the given double integral to polar coordinates, sketch the region by plotting the curves and finding their intersection points. Then, convert the limits of integration and the differential area element to polar form. Set up the polar integral using the converted limits and the appropriate integrand.

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Answer:

To do that you must divide 4 by 100

Step-by-step explanation:

4 divided by 100 is 0.04

Answer:

4/100

Run two decimal places forward

that's

0.04

Hope this helps you

Step-by-step explanation:

let 'x' represent the total number of students in the class

5 = 20% of x

0.20x = 5 divide both sides by 0.20

x = 25 students

there are 25 students in the class.

I'm not sure about the answer but still I think its right.....

The length of the radius of the circle is 44cm.

This problem bothers on the mensuration of flat shapes, a circular shape.

Given data

Circumference of circle C= 88πcm

Radius of circle r=?

To find the length of the radius of the circle.

To solve for the radius let us apply the formula for the circumference of a circle

C=2πr

Substituting our given data

88π=2πr

Making r subject of formula we have

r= 88π/2π

r= 44cm

Hence, The length of the radius of the circle is 44cm.

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Step-by-step explanation:

In 1 number a number there will be reciprocal of 1 and it will go down then after 4/6 will be multiplied after reciprocal to 2/1 then it will come wait okay

Thus, the general solution of the given differential equation `2y′ y = 5t²` is `y = Ke^(5t³/6)` where `K` is a constant of integration.

The general solution of the given differential equation `2y′ y = 5t²` and using it to determine how solutions behave as t is discussed below:Solving the differential equation:

Separating the variables of the differential equation `2y′ y = 5t²` we get:dy/y = (5/2)t² dtIntegrating both sides, we have:ln|y| = (5/6) t³ + C1

Taking the exponential of both sides, we get:y = Ke^(5t³/6) , where K = ± e^(C1) is a constant of integration.

The general solution of the given differential equation is given by `y = Ke^(5t³/6)` where `K` is a constant of integration.

How solutions behave as `t`:When `t → ∞` (i.e., as t grows large), `e^(5t³/6) → ∞`. So solutions of the given differential equation `y′ y = 5t²` grow exponentially as `t → ∞`.

When `t → -∞` (i.e., as t gets very negative), `e^(5t³/6) → 0`. So solutions of the given differential equation `y′ y = 5t²` approach `y = 0` as `t → -∞`.

Thus, the general solution of the given differential equation `2y′ y = 5t²` is `y = Ke^(5t³/6)` where `K` is a constant of integration.

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