whats greater .12 or 12/16​

Answer:

Solution given:

we have

f(x)=x²-9x-36

let

y=x²-9x-36

when

x=0

y=-36

when

y=0

0=x²-9x-36

x²-12x+3x-36=0

x(x-12)+3(x-12)=0

(x-12)(x+3)=0

either

x=12

x=-3

So,

x and y intercepts are (-3,0)(12,0) and 0,-36)

Answer:

394.13 to 2 D.P.s

Step-by-step explanation:

Area = pi r^2

= 3.142 * 11.2^2

= 394.132.

The area of this circle up to 2 decimal places will be 394.13 square units.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Let r be the radius of the circle. Then the area of the circle will be

A = πr² square units

The radius of the circle is 11.2 units and takes π to be 3.142. Then the area is given as,

A = π x (11.2)²

A = 3.142 x 125.44

A = 394.13 square units

The area of this circle up to 2 decimal places will be 394.13 square units.

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Answer:

k= 4

Step-by-step explanation:

g(x) is the units higher than f(x) which means k=4

The curve given by the vector-valued function r(t) = 5t^2i + 8t^3j is smooth on the open interval (-∞, +∞).

A vector-valued function is considered smooth when its components, i.e., the x and y components in this case, have continuous derivatives. The given function r(t) = 5t^2i + 8t^3j has the components x(t) = 5t^2 and y(t) = 8t^3.

Both x(t) and y(t) are polynomial functions, and polynomials are infinitely differentiable, meaning they have derivatives of all orders. Therefore, the derivatives of x(t) and y(t) exist for all real values of t.

Since the derivatives of x(t) and y(t) are continuous, the original vector-valued function r(t) = 5t^2i + 8t^3j is also smooth for all real values of t. Therefore, the curve described by the function is smooth on the open interval (-∞, +∞).

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The equation also holds true for k+1. By mathematical induction, we have proved that the equation is true for all positive integers n.

To prove that 12−22+32−…+(−1)n−1n2=(−1)n−1n(n+1)2 whenever n is a positive integer using mathematical induction, we must first establish the base case.

When n=1, we have 1^2 = 1 and (-1)^(1-1) * 1 * (1+1) / 2 = 1. Therefore, the equation holds true for n=1.

Next, we assume that the equation holds true for some arbitrary positive integer k, meaning:

1^2 - 2^2 + 3^2 - ... + (-1)^(k-1) * k^2 = (-1)^(k-1) * k * (k+1) / 2

Now, we must prove that the equation also holds true for k+1:

1^2 - 2^2 + 3^2 - ... + (-1)^(k-1) * k^2 + (-1)^k * (k+1)^2 = (-1)^k * (k+1) * (k+2) / 2

Starting with the left side of the equation, we can substitute in the assumed equation for k:

(-1)^(k-1) * k * (k+1) / 2 + (-1)^k * (k+1)^2

Simplifying this expression:

(-1)^(k-1) * k * (k+1) / 2 - (k+1)^2 * (-1)^k

= (k+1) * [(-1)^(k-1) * k / 2 - (k+1) * (-1)^k]

= (k+1) * [(-1)^(k-1) * k / 2 + (k+1) * (-1)^{k+1}]

= (k+1) * [(-1)^(k-1) * k / 2 + (-1)^k * (k+1)]

= (k+1) * [(-1)^k * (k+1) / 2]

= (-1)^k * (k+1) * (k+2) / 2

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Answer:

The answer is C. I & III

Step-by-step explanation:

The slope of the line is zero and the line is horizontal.

It is found that the slope of the line is zero and the line is horizontal. The answer is C. I & III

Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.

Since the given parallel line has the equation; y = 2x + 2, its slope is 2 and thus, the slope of the needed line is 2.

Given that line is parallel to the x-axis and passes through the point (-3, 6).

The equation of the line would be 6 = -3m + c

We can conclude that the slope of the line is zero and the line is horizontal.

The answer is option C. I & III

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Answer:

I think it's Axial Symmetry.

Step-by-step explanation:

Answer:

Step-by-step explanation:

sin77=h/8

h=8sin77

h=8(0.9744)

h=7.7952ft

Answer:

16

Step-by-step explanation:

Midpoint = (5+37) / 2 - 5

This is a weird question because it has a negative number but just think of it as adding the positive value and finding the midpoint, then subtracting the value. Draw a number line to help visualize this too.

Answer:

circumference = pi (3.14 or 22/7, whatever your teacher wants or whatever the problem asks) x the diameter

Step-by-step explanation:

Answer:

To calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2×radius with pi (π=3.14).

Step-by-step explanation:

I hope the images help!!

Answer:
Michael has the best pay.

Step-by-step explanation:
Michael earns $10 every 30 minutes. There are 60 minutes in an hour (30x2). Michael earns $20/hour (10x2).

Nicole earns $18 every 1.5 hours. We could multiply this by two to get a whole number (1.5x2=3). Nicole earns $36 every 3 hours, meaning she earns $12/hour (36/3).

Doris earns $432 every 24 hours (8 hours/day x 3 days), meaning she earns $18/hour (432/24).

Answer: (3, -4)

Step-by-step explanation:

x = 3

y = -4

Answer:

We can start by drawing a diagram of the situation. Let O be the center of both circles and let K be a point on the circumference of ⊙J such that JK = 12 cm. Let L be the point where JK intersects ⊙M, and let M be the point diametrically opposite L on ⊙M. Then, we have a right triangle JOK with legs JO = 32 cm and OK = 38 cm, and a right triangle LOM with legs LO = OM = r, where r is the radius of ⊙M. The hypotenuse of both triangles is the same and has length 64 cm.

We can use the Pythagorean theorem to find r. In the right triangle JOK, we have:

JO^2 + OK^2 = JK^2

32^2 + 38^2 = JK^2

JK = sqrt(32^2 + 38^2) ≈ 49.21 cm

In the right triangle LOM, we have:

LO^2 + OM^2 = LM^2

r^2 + r^2 = (2r)^2

2r^2 = LM^2

We know that LM = 2r + 12, since JK = 12 cm. Substituting this into the equation above, we get:

2r^2 = (2r + 12)^2

2r^2 = 4r^2 + 48r + 144

2r^2 - 4r^2 - 48r - 144 = 0

-r^2 - 24r - 72 = 0

r^2 + 24r + 72 = 0

We can solve for r using the quadratic formula:

r = (-24 ± sqrt(24^2 - 4*72)) / 2

r = (-24 ± sqrt(384)) / 2

r = -12 ± 4sqrt(6)

Since r is the radius of ⊙M, we want the positive value of r. Therefore:

r = -12 + 4sqrt(6) ≈ 4.03 cm

Finally, we can find LM:

LM = 2r + 12

LM = 2(4.03) + 12

LM ≈ 20.06 cm

Therefore, the length of LM is approximately 20.06 cm.

Excision of

benign lesions

on chest, 0.4 cm, with simple closure(CPT CODE)CPT code is a five-digit numeric code that is used to describe medical, surgical, and diagnostic procedures.

The CPT code for the Excision of benign lesions on chest, 0.4 cm, with simple closure is 11400. The CPT code 11400 is used to report the removal of benign lesions or skin tags. It is a

surgical

procedure performed to remove a benign lesion, which is a tumor that is not

cancerous

.

The

excision

of benign lesions is performed for a variety of reasons, including cosmetic purposes, symptom relief, or to prevent the

lesion

from becoming cancerous. Excision of benign lesions on chest, 0.4 cm, with simple closure is a minor surgical procedure that can be performed in an outpatient setting.

The simple closure refers to the wound closure technique, where the edges of the incision are brought together and closed with sutures or staples. A simple closure is used when the wound is small and does not require extensive tissue

rearrangement

or grafting. The excision of benign lesions on the chest, 0.4 cm, with simple closure is performed to remove a benign lesion or tumor from the chest area that measures 0.4 cm in size.

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\(\text{Given that,}\\\\\text{Width =w}, \\\\\text{Length,}~ l = \dfrac 52 +2w\\\\\text{Perimeter of rectangle}\\\\ =2( l+w)\\\\=2\left(\dfrac 52 + 2w +w\right)\\\\\\=2\left(\dfrac 52 +3w\right)\\\\\\=6w+5~~ \text{units}\)

Answer:

-22.30

Step-by-step explanation:

40-(-62.30)= -22.30

The probability that the man would have done at least this well by chance, assuming he has no ESP is 0.182

To determine the probability that the man would have gotten at least 22 out of 30 correct by chance, we can use a binomial probability distribution, where:

n = 30 (the number of trials, or coin flips)

p = 0.5 (the probability of getting a correct guess by chance, assuming the coin is fair)

The probability of getting exactly 22 correct guesses by chance can be calculated as:

P(X = 22) = (30 choose 22) × 0.5^22 × 0.5^8 = 0.128

where (30 choose 22) is the number of ways to choose 22 correct guesses out of 30.

The probability of getting 22 or more correct guesses by chance can be calculated as:

P(X >= 22) = P(X = 22) + P(X = 23) + ... + P(X = 30)

This can be calculated using a binomial probability calculator, which gives:

P(X >= 22) = 0.182

Therefore, the probability is 0.182

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The given question is incomplete, the complete question is :

A man claims to have extrasensory perception (ESP). As a test, a fair coin is flipped 30 times, and the man is asked to predict the outcome in advance. He gets 22 out of 30 correct. What is the probability that he would have done at least this well if he had no ESP?

Answer:

Okay so what you need to understand first is that this is a line right?

So, ask yourself if you know how to graph this line.

If you do graph it, and because this line has a < less than sign it means you shade down but it also means that any point directly on the line won't be a solution because the line is dashed!

There can be many solutions to this line, but only in the solution area/shaded region. This in on the lower right side of the diagonal line that is crossing from almost 2 x-axis to -4 y- axis on the line!

If you would've shown me the list of ordered pairs I would've been able to select the correct ones.

Answer:

(4,-2) and (5,1)  I took the test

Step-by-step explanation:

The price of the watch before the discount is calculated to be £24.44.

As the total price of the watch and a pair of trainers is £53. 55 and the price of the trainer before the discount was £38, we first calculate the price of the trainers after the discount as follows;

discount on a pair of trainers = 15/100 × 38 =  £5.7

cost of trainers after discount =  £38 - 5.7 =  £32.3

Now the price of the watch after the discount can be calculated by subtraction as follows;

price of watch after discount = total price - price of trainers after discount

price of watch after discount =  £53. 55 - £32.3

price of watch after discount = £21.25

Now the price of the watch before the discount can be calculated as follows;

price of watch before discount = £21.25 × 15/100

price of watch before discount = £21.25 + £3.1875

price of watch before discount = £24.44

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Answer:

Slope: -3

Y intercept: (0,-1)

Step-by-step explanation:

Answer: Slope -3

Y intercept -1

Step-by-step explanation:

To find the shortest path from vertex a to vertex b, we need information about the specific graph or network that contains these vertices. Without that information, it is not possible to provide a direct answer or calculate the length of the shortest path.

To find the shortest path between two vertices in a graph, we typically use algorithms such as Dijkstra's algorithm or the A* algorithm. These algorithms rely on information about the vertices and their connections (edges) in the graph.

Dijkstra's algorithm works by iteratively exploring the vertices and updating the distances from the starting vertex to each vertex. It keeps track of the shortest known distance to each vertex and uses this information to determine the next vertex to visit.

To find the shortest path from vertex a to vertex b, we would need to know the connections (edges) between vertices, including their weights or distances. By running Dijkstra's algorithm or a similar shortest path algorithm, we can determine the sequence of vertices that form the shortest path from a to b.

Once the shortest path sequence is obtained, we can calculate the length of the path by summing the weights or distances of the edges along the path.

Without specific information about the graph or network, including the connections between vertices and their weights or distances, it is not possible to provide a direct answer or calculate the length of the shortest path from vertex a to vertex b. The use of graph algorithms like Dijkstra's algorithm is essential to determine the shortest path and its length in a given graph.

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A valid study is one that portrays the population being studied and measures what it is supposed to. It must use random sampling and produce expected results to be deemed a reliable source. However, such studies do not necessarily result in a causal relationship between the independent and dependent variables.

The primary goal of any study is to depict the population being investigated in an accurate and unbiased manner. This involves selecting an appropriate sample of the population to study. This is why a study must use random sampling, which means every member of the population has an equal chance of being selected. This helps avoid sample bias, which is when a sample is chosen in a way that it is not representative of the population, leading to incorrect or inaccurate conclusions.

A valid study must measure what it is supposed to, which means that the study should be designed to measure what it claims to measure. For instance, a study on the effects of sleep on memory should use measures that accurately assess memory and sleep. If the study is designed to assess memory but fails to do so, the results will be unreliable. Finally, a valid study verifies expected results.

This means that the study should produce results that are consistent with what is expected based on prior research or theory. However, this does not mean that a study necessarily results in a causal relationship between the independent and dependent variables. Rather, such a relationship can only be inferred if the study is well-designed and the results are properly analyzed and interpreted.

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Answer:

-16

Step-by-step explanation:

2(8)=16, 25+(-16)=current debt after 8 weeks

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

let's solve for " w "

Answer:

w = √( x - y ) / v

Step-by-step explanation:

in this situation, we are actually asked to make w the subject of the formula

this !means that we should make w be equal to every other variable meaning;

w = y + x

note that this is just an example

so, let us get started

we have;

vw² + y = x

first of all we have to move the y to the right hand side

it is more like collecting like terms so that at the end of the day we only end up with w on that side

vw² = x - y

now, we have to remove the ²

we will do that by square rooting both sides

√( vw )² = √( x - y )

the square root will remove the square because they are opposites of each other.

it is more like a multiplication sign canceling a division sign or when we bring a subtraction sign to the other side of the equation and it turns to an addition sign.

in our case, it is like bringing the square to the other side of the equation and it turns to a square root sign

so,

vw = √( x- y )

we ate almost done.

it is now time to remove the v by dividing through by v

this means that we remove the multiplication sign bonding the v and w through division just like the square root removing the square

vw / v = √( x - y ) / v

w = √( x - y ) / v

therefore , our answer is

w = √( x - y ) / v

The better deal based on the information is mortgage A as it's cheaper.

From the information given, the loan amount for mortgage A will be:

= 3% × $4500

= $135

The loan amount for mortgage B will be:

= 6% × $7500

= $450

From the information, the better deal is mortgage A.

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Using exponential function it will take approximately 2.6 years for the population to reach 26676

Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function). An exponential function can be in one of the following forms.

The formula given in this question is

P(t) = 988(3.5)ˣ

The time it will take to reach a population of 26676 is

26676 = 988(3.5)ˣ

x = 2.6 years

It will take approximately 2.6 years

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The equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.

What are parallel lines?

Parallel lines are coplanar infinite straight lines that do not intersect at any point in geometry. Parallel planes are planes that never meet in the same three-dimensional space. Parallel curves are those that do not touch or intersect and maintain a constant minimum distance.

To find an equation for the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5),

We use the equation of a line: v = v₀ + tv₁

where v₀ and v₁ are points on the line and t is a real number.

Substitute the given points in for v₀ and v₁: v = (0, 1, −8) + t(6, 7, −5)

This equation of the plane is Ax + By + Cz = D, where A, B, C, and D are constants to be determined.

Equate the components:

0x + 1y - 8z = D....(1)

6x + 7y - 5z = D...(2)

Now, we subtract equation (1) from (2) and we get

6x - 0x + 7y - 1y - 5z + 8z = 0

6x + 6y + 3z = 0

Hence, the equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.

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Step-by-step explanation:

the same as every other individual outcome of a roll of 2 dice : 1/6 × 1/6 = 1/36