PLEASE HELP!!!
find the missing information for the triangle. make sure to find the missing angle measure AND the 2 missing side lengths

We can infer that the function y = 2 + log2(x - 1) has the following final behaviour:

A function is a relationship between a number of inputs and outputs. Simply described, a function is an association between inputs in which each input is coupled to exactly one output. There is a range, codomain, and domain for every function. A function is typically referred to as f(x), where x is the input. Y = f is a common way to represent a function (x).

A function in mathematics is a certain configuration of the inputs (also known as the domain) and their outputs (also known as the codomain), where each input has precisely one output and the output can be connected to its input.

from the question;

We may look at what happens to the function as x gets closer to positive and negative infinity to figure out the final behaviour of the function

y = 2 + log2(x - 1).

The formulas (x - 1) and log2(x - 1) also approach infinity as x gets closer to positive infinity. As a result, y increases as x moves closer to positive infinity. The following can be written:

lim x→∞ 2 + log2(x - 1) = ∞

Expression (x - 1) moves closer to zero and log2(x - 1) moves closer to negative infinity as x moves towards 1 from the right. So, as x moves closer to 1 from the right, y moves closer to negative infinity. The following can be written:

lim x→1+ 2 + log2(x - 1) = -∞

This leads us to the following conclusion about the final behaviour of the function y = 2 + log2(x - 1):

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Harry has  90 mosquitoes on his uniform after the loop de loop.

An integral is the continuous analog of a sum, which is used to calculate areas, volumes, and their generalizations

To find the number of mosquitoes that splat on Harry's uniform during the loop de loop, we need to integrate the mosquito density function M(x,y,z) over the curve given by the parametrization r(t):

[tex]\int _C\:M\left(x,y,z\right)\:ds\:=\:\int _{t_1}^{t_2}\:M\left(r\left(t\right)\right)\:||r'\left(t\right)||\:dt\:[/tex]

where C is the curve defined by r(t), ||r'(t)|| is the magnitude of the tangent vector to the curve, and ds is the arc length element.

We can compute the tangent vector to the curve as:

[tex]r'\left(t\right)\:=\: < 7,\:3cos\left(t\right),\:-3sin\left(t\right) >[/tex]

The magnitude of the tangent vector is:

[tex]||r'\left(t\right)||\:=\:\sqrt{7^2\:+\:3^2cos^2\left(t\right)\:+\:3^2sin^2\left(t\right)}\:=\:\sqrt{67}[/tex]

Substituting these expressions into the integral, we get:

[tex]\int _C\:M\left(x,y,z\right)\:ds\:=\:\int _0^{5\pi }\:\frac{12+3cos\left(t\right)}{\pi \sqrt{58}}\sqrt{67}\:dt\:[/tex]

[tex]\int _C\:M\left(x,y,z\right)\:ds\:\approx \:89.62[/tex]

Hence, Harry has  90 mosquitoes on his uniform after the loop de loop.

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flip the 2/3 then multiply

5 x 3/2 = 15/2 = 7.5

Answer:

Below

Step-by-step explanation:

I think statistically that all of the scores will fall within 6 standard deviations   .....   3 above the mean and 3 below the mean

 from 85  to 165 is 3 standard deviations

     165 - 85 = 80       80 / 3 = 26.67 = standard deviation

Hmm.....not sure how they get the S.D. is 40 ....hope someone else can help us !    

Standard bellcurve below.... score 125 does not seem to be in the 1 S.D. position of the curve....Kinda close I guess....

 Maybe they are saying from 80 to 165 is TWO Standard deviations....THAT would equal 40.....what have your lessons been using?

The vοlume οf the pyramid is 64 cubic centimeters (cm^3).

The vοlume οf a pyramid is given by the fοrmula V = (1/3) Bh, where B is the area οf the base and h is the height.

In this case, the base οf the pyramid is a square with side length s = 8 cm, sο its area is [tex]B = s^2 = 8^2 = 64 cm^2[/tex].

The height οf the pyramid is h = 3 cm.

Therefοre, the vοlume οf the pyramid is:

[tex]V = (1/3) Bh = (1/3) (64 cm^2) (3 cm) = 64 cm^3[/tex]

Hence, the vοlume οf the pyramid is 64 cubic centimetres (cm^3).

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The statement that cannot be true is "length RW is a midsegment of the triangle".

option D.

The midsegment of a triangle is a line segment that connects the midpoints of two sides of a triangle. More specifically, if a triangle has sides of lengths a, b, and c, then the midsegment connects the midpoints of the two sides of length a and is parallel to the side of length c.

The length of the midsegment is half the length of the third side (c/2).

In other words, if a triangle has sides AB, BC, and AC, then the midsegment connects the midpoint of AB (denoted as M) to the midpoint of BC (denoted as N) and is parallel to AC. The length of the midsegment MN is equal to half the length of AC (MN = 1/2 * AC).

For the given diagram, the midpoint is S, so the length RW cannot be the length of the midsegment.

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Horizontal cross-sections of the prisms at the same height have the same area.

Option D.

A right rectangular prism is a three-dimensional shape with six faces which are all rectangles. It has twelve edges and eight vertices.

An oblique triangular prism is a prism with 2 congruent triangular faces and 3 rectangular faces at an angle to the triangular faces.

This is the volume of solid figures concept.

The volume of a prism is obtained by multiplying the area of its base to its height. If the two given solid figures have the same volume and the same height then, the areas of their bases are also equal.

In this case, the height of the right rectangular prism and the oblique triangular prism are 12 cm and both prisms have the same volume, we can conclude that:

Horizontal cross-sections of the prisms at the same height have the same area.

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Mary can bake 8 cakes the with 7 cups of flour she possesses because we are unable to create a quarter of a cake.

Starch, a polymer, is one of the ingredients in all-purpose flour, which has the chemical formula (C6H5O10)n (C 6 H 5 O 10) n.

We need to divide Mary's total flour supply by the quantity of flour required for creating one cake in order to determine how many cakes she can produce.

First, we must divide 5 by 6 to get the fraction 5/6 in decimal form:

5 ÷ 6 = 0.8333...

Hence, 0.8333 cups of flour are required to produce one cake.

We're able to divide Mary's entire flour supply by the quantity of flour needed to produce one cake:

7 cups of flour ÷ 0.8333 cups of flour per cake = 8.4 cakes

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The vertex of the parabola is ( 0, -4). The correct option is F.

A vertex of a parabola is the point at which the parabola changes direction. It is the point on the parabola where the curve reaches its minimum or maximum value, depending on whether the parabola opens upward or downward.

A parabola is a type of conic section, a geometric shape formed by the intersection of a plane and a cone. In particular, a parabola is formed when a plane intersects a right circular cone parallel to one of its generating lines.

From the given graph the vertex of the parabola is,

Vertex = ( 0, -4 )

Therefore, the vertex is (0,-4).

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The value of k will make V = x + k/x have a relative minimum at x = 3 is k = 9

A relative minimum of a function is the minimum value of the function in a particular interval.

Since we have the function  V = x + k/x. We desire to find the value of k that will make V = x + k/x have a relative minimum at x = 3

So, to find the relative minimum of V, we differentiate with respect to x and equate to zero.

So, V = x + k/x

dV/dx = d(x + k/x)/dx

= dx/dx + kd(1/x)/dx

= 1 - k/x²

Equating dV/dx to zero, we have that

dV/dx = 0

⇒ 1 - k/x² = 0

1 = k/x²

k = x²

For a relative minimum at x = 3, substitute x = 3 into the equation. So, we have that

k = x²

= 3²

= 9

So, k = 9

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The amount of interest he has earned is $438

Compound interest is the interest you earn on interest. This can be illustrated by using basic math: if you have $100 and it earns 5% interest each year, you'll have $105 at the end of the first year. At the end of the second year, you'll have $110.25.

A = P ( 1+r/100) ^t

A is the amount after year t

P is the principal and r is the rate

800 = P( 1+ 12/100)⁷

800 = P( 1+ 0.12)⁷

800 = P ( 1.12)⁷

800 = P( 2.21)

P = 800/2.21

P = $362

A = P+ 1

I = A-P

I =800 - 362

I = $438

therefore the interest he earned is $438

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Answer:

the slop is 2

Step-by-step explanation:

i just calculated it a minute ago

When you accrue interest, it means that A. monetary value is added to your account.

Accruing interest means computing, determining or adding the interest amount due on the principal (sometimes on the principal and accumulated interest) fora period.

When a person accrues interest, it does not mean that they get discounts off their monthly charges or have to pay extra.  It does not mean that people want to be involved in your account.

Thus, when a person accrues interest, it involves adding additional monetary value to the account.

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The dilated polygon and polygon are created. And the scale factor of the polygon STUVWXYZ to JKLMNOPQ will be 9.

Dilation is the methodology of expanding the dimensions of an object without impacting its appearance.

The coordinate of the polygon ABCDEFGH is given as,

(3, -3), (4, -4), (5, -3), (8, -6), (10, -4), (9, -3), (8, -4), (5, -1)

a) If the scale factor is 3, then the coordinate of the polygon JKLMNOPQ is given as,

⇒ 3 [(3, -3), (4, -4), (5, -3), (8, -6), (10, -4), (9, -3), (8, -4), (5, -1)]

⇒ (9, -9), (12, -12), (15, -9), (24, -18), (30, -12), (27, -9), (24, -12), (15, -3)

b) If the scale factor is 1/3, then the coordinate of the polygon STUVWXYZ is given as,

⇒ 1/3 x [(3, -3), (4, -4), (5, -3), (8, -6), (10, -4), (9, -3), (8, -4), (5, -1)]

⇒ (1, -1), (4/3, -4/3), (5/3, -1), (8/3, -2), (10/3, -4/3), (3, -1), (8/3, -4/3), (5/3, -1/3)

c) The polygon JKLMNOPQ and STUVWXYZ are similar. Then the scale factor is given as,

Scale factor = 9/1

Scale factor = 9

The diagram is given below.

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Answer:

The correct answer here is B

Step-by-step explanation:

You already did the first 2 rows and it got a COP of 3. The last few rows do not.

Answer:

Answer is C

Step-by-step explanation:

Yes, the person who said B is half correct but tables CAN show proportions, however this one doesn't since you aren't multiplying by 3 in every row. Only the top 3 rows do the rest don't. That's why C is correct not B.

Answer: Diagram (B)

We have a total number of balls in the urn =9

Let us denote the red ball as R = 4

A plot of the given complex numbers is shown in the Argand diagram attached below.

In Mathematics, a complex number can be defined as any numerical quantity that comprises two main parts, which include a real number and an imaginary number.

In this exercise, you are required to plot the given complex numbers on an Argand diagram. Additionally, the sum and difference of the complex numbers z₁ and z₂ can be calculated as follows;

z₁ + z₂ = 5 + 2i + 1 + 3i

z₁ + z₂ = 6 + 5i

z₁ - z₂ = 5 + 2i - (1 + 3i)

z₁ - z₂ = 5 + 2i - 1 - 3i

z₁ - z₂ = 4 - i

In conclusion, we would use an online graphing calculator to plot all of the complex numbers as shown in the image attached below.

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Answer:

4 + 36x

Step-by-step explanation:

4(1 + 9x)

= 4 + 36x

So, the answer is 4 + 36x

Answer:

The graph will shift 3 units down

In response to the query, we can state that As a result, interest accounted for $6.23 of Kyle's payment in month 2.

By dividing the principal by the interest rate, the passage of time, and other factors, simple interest is determined. Simple return equals principle plus interest plus hours is the formula used in marketing. The easiest way to compute interest is by using this method. The most typical method for calculating interest is as a portion of the principle amount. For example, if he borrows $100 from a buddy and agrees to pay back the loan at 5% interest, he will only pay his share of the 100% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and you must charge interest when you lend it. Typically, interest is determined as an annual percentage of the loan total. The loan's interest is the name given to this percentage.  

The yearly interest rate must be divided by 12 to obtain the monthly interest rate since it is given:

1.5% each month divided by 12 equals 0.125%.

initial balance is $5,020.

Amount paid: $45.08

Interest added equals 0.125% * $5,020 = $6.27

Principle paid equals $45.08 minus $6.27, or $38.81.

Final balance: $5,020 minus $38.81 equals $4,981.19

As a result, interest accounted for $6.27 of Kyle's payment in month 1.

Total starting balance: $4,981.19

Money received: $45.08; Interest owed: 0.125% * $4,981.19; Total: $6.23

Principal paid equals $45.08 minus $6.23, or $38.85.

Final balance: $4,981.19 minus $38.85 equals $4,942.34

As a result, interest accounted for $6.23 of Kyle's payment in month 2.

The amortisation table might look like this:

Month Starting Balance Payment: To Principal Ending Balance: To Interest Payment

[tex]1 $5,020.00 $6.27 $38.81 $4,981.19\s2 $4,981.19 $6.23 $38.85 $4,942.34\s3 $4,942.34 ...[/tex]

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The lengths DG and GC are 12 and 24 units respectively

From the question, we have the following parameters that can be used in our computation:

G is the centroid and DC = 36.

The centrod divides the triangle in 1 : 2

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

DG : GC = 1 : 2

Multiply by 12

So, we have

DG : GC = 12 : 24

12 and 24 add uo to 36

This means that

DG = 12 and GC = 24

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Answer:

When a marble is taken out from the bag and replaced, the probability of getting a red or blue marble on the first draw remains the same for the second draw. Therefore, we can use the multiplication rule of probability to calculate the probability of getting two marbles of the same color.

Let's denote the event of getting a red marble as R and the event of getting a blue marble as B. Then, the probability of getting two marbles of the same color can be calculated as follows:

Probability of getting two red marbles: P(R and R) = P(R) * P(R) = (3/7) * (3/7) = 9/49

Probability of getting two blue marbles: P(B and B) = P(B) * P(B) = (4/7) * (4/7) = 16/49

Therefore, the probability of getting two marbles of the same color is the sum of the probabilities of getting two red marbles and two blue marbles, which is:

P(same color) = P(R and R) + P(B and B) = 9/49 + 16/49 = 25/49

So the probability of getting two marbles of the same color is 25/49.

Step-by-step explanation:

The inequality for this problem, along with it's solution, is given as follows:

A. x − 4 < 6; x < 10

The segment addition postulate is a geometry axiom that states that when a line segment is divided into a number of smaller segments, the total length is given by the sum of the lengths of each of the smaller segments.

For this problem, we have that BD is a smaller segment of segment BC, hence the inequality is given as follows:

BD < BC.

Replacing with x, the solution is obtained as follows:

x - 4 < 6

x < 6 + 4

x < 10.

Meaning that option a is the correct option.

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Answer:

We should buy at least 19 bonds to have at least a 97% chance of getting 5 or more bonds that do not default.

Step-by-step explanation:

This problem can be solved using the binomial distribution, which can tell us the probability of getting a certain number of successes in a given number of trials, each with a certain probability of success. In this case, the trials are the bonds, the probability of success is 50% (the chance that a bond will not default), and we want to know how many bonds we need to buy to have at least a 97% chance of getting 5 or more successes.

Let X be the number of bonds that do not default. We want to find the smallest value of n (the total number of bonds we buy) such that P(X ≥ 5) ≥ 0.97.

Using the binomial distribution, we can calculate that the probability of getting exactly k successes out of n trials with a probability p of success is:

P(X = k) = (n choose k) * p^k * (1 - p)^(n-k)

where (n choose k) is the binomial coefficient, which represents the number of ways to choose k items out of n without regard to order.

To find P(X ≥ 5), we can calculate the probabilities of getting 5, 6, 7, 8, 9, or 10 successes and add them up:

P(X ≥ 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)

We want this probability to be at least 0.97, so we can set up the following inequality:

P(X ≥ 5) ≥ 0.97

P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) ≥ 0.97

We can then use a spreadsheet or a binomial probability table to find the smallest value of n that satisfies this inequality. For example, using Excel's BINOM.DIST function, we can enter the following formula in a cell:

=BINOM.DIST(4,n,0.5,TRUE) + BINOM.DIST(5,n,0.5,TRUE) + BINOM.DIST(6,n,0.5,TRUE) + BINOM.DIST(7,n,0.5,TRUE) + BINOM.DIST(8,n,0.5,TRUE) + BINOM.DIST(9,n,0.5,TRUE) + BINOM.DIST(10,n,0.5,TRUE)

where n is the number of bonds we want to buy, and TRUE indicates that we want to calculate the cumulative distribution function (CDF) up to the given value of k.

We can then use Excel's Goal Seek tool to find the smallest value of n that makes this formula equal to 0.97. For example, if we set the target value to 0.97 and the "Set cell" to the formula cell, and we vary the "To value" of n, Goal Seek finds that the smallest value of n that satisfies the inequality is 19. Therefore, we should buy at least 19 bonds to have at least a 97% chance of getting 5 or more bonds that do not default.

When the radius is 4 inches, the circle's circumference measures roughly 25.1 inches.

No matter what size circle you drew, you will obtain roughly 3.14 when you divide the circumference by the diameter. The ratio will never change even though a larger circle will have a higher radius and circumference. Circumference to diameter ratio (C/d) is always constant at. As a result, the diameter (D) and circumference (C) are always approximately 3.14 times each other (d).

C = 2r is the formula for calculating a circle's circumference.

C = 2π(4)

C = 8π

Using the approximation of π = 3.14, we can evaluate this expression:

C ≈ 8(3.14)

C ≈ 25.12

Rounding this answer to the nearest tenth gives:

C ≈ 25.1 inches.

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For your question just change domain x=-4,-2,0,2,4 to the function y=-1/2x to find y and graph.

The area of the circle is 78.5m² And when the radius is doubled, the area will be 314m².

The ratio of the larger circle to the smaller circle is 4 : 1

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object. The area is measured in squared units.

The area of a circle is expressed as :

A = πr²

A = 3.14 × 5²

A = 3.14 × 25

A = 78.5m²

When the radius is doubled, i.e

r = 5×2 = 10m

A = πr²

A = 3.14 × 100

A = 314m²

Therefore the area of the new circle is 314m²

The ratio of the area of the larger circle to the area of the smaller circle is ;

314/78.5 = 4/1 = 4 : 1

therefore the ratio of the larger circle to the smaller circle is 4 : 1

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Answer:

Step-by-step explanation:

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Answer:

[tex]\frac{1}{256}[/tex]

Step-by-step explanation:

Given

[tex]\left(4^4\right)^{-1}[/tex]

We can use the power rule to multiply the exponents.

The power rule for exponents states

[tex]\left(a^b\right)^{c}=a^{bc}[/tex]

[tex]4^{4*-1}[/tex]

Multiply 4 by −1.

[tex]4^{-4}[/tex]

Rewrite the expression using the negative exponent rule.

The negative exponent rule states

[tex]a^{-b}=\frac{1}{a^b}[/tex]

[tex]\frac{1}{4^4}[/tex]

Raise 4 to the power of 4.

[tex]\frac{1}{256}[/tex]

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Answer:

Step-by-step explanation:

To sketch the graph of the polynomial function P(x) = x^4 - x^3 - 11x^2 + 9x + 18 without using technology, we can follow the following steps:

1. Determine the end behaviors of the graph: As x approaches negative infinity, the dominant term of the polynomial is x^4, which is positive. As x approaches positive infinity, the dominant term of the polynomial is also x^4, which is positive. Therefore, the end behaviors of the graph are both upward, which means that the graph rises to positive infinity on both ends.

2. Find the x-intercepts: To find the x-intercepts, we need to solve the equation P(x) = 0. One way to do this is to use synthetic division or long division to factor the polynomial. However, since the degree of the polynomial is 4, it may be difficult to find the roots algebraically. Alternatively, we can use technology or a graphing calculator to find the approximate values of the x-intercepts. Using a graphing calculator, we find that the x-intercepts are approximately -2.23, -0.43, 1.19, and 3.47.

3. Find the y-intercept: To find the y-intercept, we can set x = 0 in the equation P(x) = x^4 - x^3 - 11x^2 + 9x + 18, which gives P(0) = 18. Therefore, the y-intercept is (0, 18).

4. Determine the location of the minimum point: To find the location of the minimum point, we can use calculus and take the derivative of P(x) with respect to x. Setting the derivative equal to zero and solving for x, we find that x = -0.5 or x = 1. Therefore, the minimum point occurs at either (-0.5, P(-0.5)) or (1, P(1)). Using a graphing calculator, we find that the minimum value of P(x) is approximately -8.09, which occurs at x = -0.5.

Based on these steps, we can sketch the graph of P(x) as follows:

* The end behaviors of the graph are both upward.

* The x-intercepts are approximately -2.23, -0.43, 1.19, and 3.47.

* The y-intercept is (0, 18).

* The minimum point occurs at approximately (-0.5, -8.09).

* The graph is symmetric about the vertical line x = 0, since P(-x) = P(x) for all x.

5. To find where the company will break even, we need to find the values of x such that P(x) = 0. Using a graphing calculator or technology, we find that the company will break even at approximately x = -2.23, -0.43, 1.19, and 3.47. These correspond to the x-intercepts of the graph. Therefore, the company will break even at these values of x.