In Buffalo, New York, the temperature was -14°F in the morning. If the temperature rose 7°F, what is the temperature now?

Answer:

Line J

Step-by-step explanation:

It is sloping downwards. It starts in  the top left and end at the bottom right, so it it the only negative one

Answer:

Line J

Step-by-step explanation:

Its the only one descending downwards, while the other two are going up in a positive direction.

Hope this helps (:

Answer:

x=4

Step-by-step explanation:

–3(3x –2) = –30

Divide each side by -3

–3(3x –2)/-3 = –30/-3

3x –2 = 10

Add 2 to each side

3x –2+2 = 10+2

3x = 12

Divide each side by 3

3x/3 = 12/3

x = 4

Answer:

X = 4

Step-by-step explanation:

1: Distribute

-3 (3x - 2) = -30 (Multiply 3x and -2 by -3)

-9x + 6 = -30

2: Combine Like Terms

-9x + 6 = -30 (Subtract 6 from -30)

-9x = -36

3: Divide

-9x = -36 (Divide -36 by -9 to get x by itself)

x = -36 / -9

4: Solve

x = -36 / -9

X = 4

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

b = 35°44'

B = 37°28'

Step 02:

right spherical triangle:

b = 35°44' = (35 + 44/60) = 35.73°

B = 37°28' = (37 + 28/60) = 37.47°

Answer:

The answer is 9

Step-by-step explanation:

(1.4 × 10) - 5

14 - 5 = 9

Step-by-step explanation:

=(1.4×10)-5

=14-5

=9

the answer is 9

The probability of given data is that it is actually going to rain in Seattle with value of  0.4706 approximately.

Firstly, denote the variables to the events: R: It is actually raining in Seattle. U: Your umbrella is with you. F1: Your first friend says it is raining. F2: Your second friend says it is raining. F3: Your third friend says it is raining.

We want to find the probability of R given that F1, F2, and F3 all say it is raining. Using Bayes' theorem, we have:

P(R | F1F2F3) = P(F1F2F3 | R) * P(R) / P(F1F2F3)

The denominator, P(F1F2F3), can be calculated using the law of total probability as follows:

P(F1F2F3) = P(F1F2F3 | R) * P(R) + P(F1F2F3 | R') * P(R')

where R' represents the event that it is not raining in Seattle. Since the probability of raining in Seattle is 0.1,

we have P(R) = 0.1 and P(R') = 0.9.

To calculate the probabilities of the events involving your friends' responses, we can use the following table:

Event Probability

F1         2/3 if R, 1/3 if R'

F2         2/3 if R, 1/3 if R'

F3         2/3 if R, 1/3 if R'

If it is raining, each friend will tell you the truth with probability 2/3, and if it is not raining, they will lie with probability 2/3. Therefore, we have:

P(F1F2F3 | R) = (2/3)^3 = 8/27

P(F1F2F3 | R') = (1/3)^3 = 1/27

Substituting these values into the equation, we get:

P(R | F1F2F3) = (8/27 * 0.1) / [(8/27 * 0.1) + (1/27 * 0.9)]

= 8/17

≈ 0.4706

Therefore, given that all three of your friends say it is raining, the probability that it is actually raining in Seattle is approximately 0.4706 or 47.06%. This means it is better to bring an umbrella to be safe.

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1. The height of the cone is equal to

2. You can solve for the slant height, s by applying Pythagorean's theorem.

3. To get from the base of the cone to the top of the hill, an ant has to crawl 29 mm.

In Mathematics and Geometry, the volume of a cone can be calculated by using this formula:

Volume of cone, V = 1/3 × πr²h

Where:

By substituting the given parameters into the formula for the volume of a cone, we have the following;

8792 =  1/3 × 3.14 × 20² × h

26,376 =  3.14 × 400 × h

Height, h = 26,376/1,256

Height, h = 21 mm.

Question 2.

In order to solve for the slant height, s, we would have to apply Pythagorean's theorem since the height of the cone has been calculated above.

Question 3.

By applying Pythagorean's theorem, we have the following:

r² + h² = s²

20² + 21² = s²

400 + 441 = s²

s² = 841

Slant height, s = √841

Slant height, s = 29 mm.

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The exclusive right to distribute, exhibit, perform, or reproduce an original work in copies, as well as the right to create derivative works based on the original work, is known as copyright. This assertion is true.

A bundle of legal privileges known as copyrights automatically belongs to everyone who produces an original work of authorship, such as a piece of literature, film, music, or software. These privileges include the ability to copy, create derivative works from, distribute, perform, and show the work in public.

The following exclusive rights belong to copyright owners exclusively, according American copyright law: Create phonorecords or duplicates of the material. Make works based on the original work. distribute copies or phonorecords of the work to the public by selling, transferring ownership, leasing, renting, or borrowing.

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The completely factored form of the polynomial is 7x² (x + 6) (x - 4)

Given,

The polynomial ; 7x⁴ + 14x³ - 168x²

We have to find the complete factored form of this polynomial;

Polynomial;

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).

Here,

The polynomial is  7x⁴ + 14x³ - 168x²

Now,

Factorize the polynomial using common factors;

That is,

7x⁴ + 14x³ - 168x²

7x² (x² + 2x - 24)

Solve x² + 2x - 24 using quadratic formula;

That is,

\(\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}\) = \(\frac{-2(+-)\sqrt{2^{2} -4*1*-24} }{2*1}\) = \(\frac{-2(+-)\sqrt{4-96} }{2}\) = -2±√-92 / 2

Now,

Solve

-2 + √-92 / 2 = 3.79 ≈ 4

Solve

-2 - √-92 / 2 = -5.79 ≈ -6

Then,

The factors will be (x - 4) and (x + 6)

So,

7x² (x + 6) (x - 4) will be the factored form of the polynomial.

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The gradient vector field of function f(x,y) is given as follows:

grad(f(x,y)) = (1 + 3xy)e^(3xy) i + 3x²e^(3xy) j.

Suppose that we have a function defined as follows:

f(x,y).

The gradient function is defined considering the partial derivatives of function f(x,y), as follows:

grad(f(x,y)) = fx(x,y) i + fy(x,y) j.

In which:

The function in this problem is defined as follows:

f(x,y) = xe^(3xy).

Applying the product rule, the partial derivative relative to x is given as follows:

fx(x,y) = e^(3xy) + 3xye^(3xy) = (1 + 3xy)e^(3xy).

Applying the chain rule, the partial derivative relative to y is given as follows:

fy(x,y) = 3x²e^(3xy).

Hence the gradient vector field of the function is defined as follows:

grad(f(x,y)) = (1 + 3xy)e^(3xy) i + 3x²e^(3xy) j.

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Answer:

(2, -2)

Step-by-step explanation:

its positive 2 on the x axis and negative 2 on the y axis

Answer:

a) y = 6

b) y = 3x + 3

Step-by-step explanation:

a.)

plug 1 into x in the equation:

\(-12+4y=12\)

add 12 to both sides to isolate 4y:

\(4y=24\)

divide both sides by 4 to simplify x:

\(y=6\)     [24/4=6]

b.)

add 12x to both sides to isolate 4y:
\(4y=12x+12\)

divide both sides by 4x to simplify x:

\(y=3x+3\)

Answer:

9 roots

Step-by-step explanation:

(x+10)^9 = 0

If you would multiply it out, the highest power is x^9 so the equation has 9 roots

Solving (x+10)^9 =0

Taking the 9th root of each sdie

x+10 = 0

x = -10

The root is -10 with multiplicity of 9

Answer:

110⁰

Step-by-step explanation:

The sum of the interior angles of a polygon is given by:

  (n-2)*(180⁰), where n is the number of sides.

For this diagram, n = 7

(7-2)*(180⁰) = 900⁰

Sum of the 6 marked angles = 790⁰

Angle x = 900⁰ - 790⁰ = 110⁰

Answer:

19 ° Celsius

Step-by-step explanation:

13 -2 = 11 +8 = 19

Answer:

Australia will have about 27 million

China will have about 1.41 billion

Mexico will have 133.35 million

Zaire will have about 100.9 million

Australia 2000 19,169,200 multiply your growth rate by 2 then divide it by your population your growth rate

China 1.2 billion in 2000 multiply your growth rate by 2 then divide it by your population your growth rate

Same for Mexico

and Zaire

The correct option is C. One-third n²(n − 1) units³ = ⅓ n²(n-1) units³; volume of the pyramid.

A right pyramid is one that has the upper end straight just above centroid of a base. A regular pyramid is thus a subset of a right pyramid.

As, per the given question;

Edge Length = n units

Height of the pyramid = n - 1 units

The  formula for volume of a solid right pyramid is;

Volume = ⅓Ah

Where, A is the area of the base.

h is the height of the pyramid

Since, pyramid has the square base;

Calculate the area;

Area, A = edge × edge

A = n × n

A = n²

Put the value of area in volume;

Volume = ⅓Ah

Substitute n² at A and n - 1 at h.

Solve the expression;

Volume = ⅓ × n² × (n - 1)

Volume = ⅓n²(n-1).

Therefore, the volume of the solid right pyramid is calculated as V =  ⅓n²(n-1) units³.

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The complete question is -

A solid right pyramid has a square base with an edge length of n units. The height of the pyramid is n minus 1 units.

Which expression represents the volume of the pyramid?

A. One-third n(n − 1) units³

B. One-third n²(n − 1)² units³

C. One-third n²(n − 1) units³

D. One-third n³(n − 1) units³

A patent is a form of intellectual property that gives an individual or organization the exclusive right to manufacture, use, and/or sell an invention for a set period of time.

The length of a patent varies by country, but generally lasts for 20 years from the date the patent is filed with the government. This period can be extended in certain cases if the patent office grants a patent term extension.

The formula for calculating the length of a patent is: Length of Patent = Initial 20 Year Period + Extension. The initial 20 year period starts from the filing date of the patent application and is the same for all countries. However, the length of the extension varies depending on the country and the circumstances of the patent. For example, some countries may offer a 5-year extension, while others may offer a 10-year extension.

The length of a patent must be carefully calculated so that the patent owner can maximize the benefits of the patent. By calculating the patent length and extension, the patent owner can ensure that they are able to take advantage of their exclusive right to the invention for the maximum amount of time possible.

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True.

If adding two positive integers results in a negative number, it means that an overflow has occurred. The overflow flag is set when the result of an operation is too large to be represented with the given number of bits.
If bx and dx both contain positive integers and adding them produces a negative result, the overflow flag will be set. This is because when two positive integers are added, the result should also be a positive integer. If the result is negative, it means there was an overflow during the addition process, and the overflow flag will be set to indicate this issue.

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The given set H, T, E, and P are not disjoint since they share some common elements. Both H and T have elements that are not included in the other set, but they also have elements in common such as 101, 102, 103, and so on.

Similarly, the set E and P have a common element 2 which is both an even number and a prime number. Therefore, none of these sets are disjoint. To determine if sets are disjoint, we need to check if they share any common elements. In this case, the sets H and T share some common elements such as 101, 102, 103, and so on. This is because the set H contains all natural numbers greater than 100, while T contains all natural numbers less than 1000. Similarly, the sets E and P share a common element, which is 2. This is because the set E contains all even natural numbers, while P contains all prime natural numbers. Since there are common elements in these sets, we can conclude that none of these sets are disjoint.

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There are 16 people who share the worm.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

In this illustration, Vince brought 6 boxes of worms to use as bait while fishing with his friends if each person uses exactly 3 8ths of a box of worms

The number of people who shared the works will be:

= Number of worms / Amount collected by each person

= 6 ÷ 3/8

= 6 × 8/3

= 16

In conclusion, 16 people shared it.

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Answer:

1. -9 because -9x6= -54, -10 because 5 x -10= -50, and x=1 because -2 x 1= -2

Step-by-step explanation:

Answer:

1. = −9

2. = −10

3. = 1

Step-by-step explanation:

Answer:

a) ∠ADB is 55°

b) ∠ABD is 45°

Step-by-step explanation:

a) In the cyclic quadrilateral ABCD, we have;

Segment AB = Segment BC

∠ABC = 70°

Therefore, ∠ADC = 180° - 70° = 110° (Opposite angles are supplementary)

∠ADC + ∠CDP = 180° (Sum of angles on a straight line)

∴ ∠CDP = 180° - ∠ADC

∠CDP = 180° - 110° = 70°

∠DCP = 180° - 70° - 30° = 80°, (Angle sum property)

Similar to ∠DCP = ∠DAB = 80° (Exterior angle of a cyclic quadrilateral)

∠CAB = ∠ACB = (180° - 70°)/2 = 55° (Base angles of isosceles triangle ΔABC)

∠ADB = ∠ACB = 55° (Inscribed angle of a circle subtended by the same chord)

∠ADB = 55°

b) ∠ABD = 180° - ∠DAB - ∠ADB

∴ ∠ABD = 180° - 55° - 80° = 45°

∠ABD = 45°

Answer:

1.28 gallons

Step-by-step explanation:

Multiply 14 and 8 then multiply that by 4 for each wall. Divide that number by 350 to get the number of gallons

brainliest please

Step-by-step explanation:

Hey, there!!

Here, one point is A(10,8) and P(8,5) is the midpoint.

Let B(x,y) be the another end point.

Now,

Using midpoint formulae,

\(p(x.y) = \frac{x1 + x2}{2} . \frac{y1 + y2}{2} \)

\(p(8.5) = ( \frac{10 + x}{2} . \frac{8 + y}{2} )\)

Since they are equal,equating with their corresponding elements we get,

\(8 = \frac{10 + x}{2} \)

or, 16 = 10 + x

or, x=16-10

Therefore, x = 6

Now,

\(5 = \frac{8 + y}{2} \)

or, 10 = 8 + y

or, y = 2

Therefore, The coordinates of another point are B(6,2)

Hope it helps .....

Answer: it is 32.6

Step-by-step explanation:

The orginal number that Gavin was thinking of is 32.60.

Let the orginal number be represented with y

Gavin adds 9 to the original number: 9 + y

The answer is doubled: 2(9 + y)

The answer is 83.2: 2(9+y) = 83.2

In order to determine the value of y, take the following steps:

Divide both sides of the equation by 2

9 + y = 41.60

Subtract 9 from both sides of the equation

y = 41.60 - 9

y = 32.60

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the polar equation of the form r = f(t) for the curve represented by the Cartesian equation x = 3.sec(t)

To find a polar equation for the given Cartesian equation x = 3, we need to convert it into polar form. We know that x = rcos(t) and substituting x = 3, we get 3 = rcos(t). Solving for r, we get r = 3/cos(t) which simplifies to r = 3sec(t). The polar coordinate system uses an angle t (or theta) and a distance r to describe a point in the plane. To convert a Cartesian equation to polar form, we need to express x and y in terms of r and t. In this case, we are given x = 3. We know that x = rcos(t), so we substitute x = 3 into this equation and get 3 = rcos(t). Solving for r, we get r = 3/cos(t). This can be simplified to r = 3sec(t), which is our polar equation of the form r = f(t).

In this equation, sec(t) is the reciprocal of cos(t), which means that the value of r will get larger as cos(t) gets smaller (i.e. as t approaches 90 degrees or pi/2 radians). This makes sense since the Cartesian equation x = 3 represents a vertical line passing through the point (3,0) on the x-axis. As we move up the line (in the positive y direction), the distance from the origin increases and the angle t approaches 90 degrees. Therefore, the value of r should get larger as t approaches 90 degrees, which is exactly what our polar equation shows.

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Step-by-step explanation:

A represents the number of minutes for television advertising an B represents the square inches of newspaper advertising.

To find the price, you have to multiply the amount of money per minute by the number of minutes for television advertising which is $100 and the amount of money per square inch for newspaper advertising which is $25 and it should be less than or equal to the money he has allocated to advertising as seen in the inequality below.

100a + 25b  ≤  2500

The formula for for Rn is given as Rn = Σ 18/n (1 - 12i/n + 36i²/n²).

We are given the function f(x) = 3x² on the interval [-1, 5] . This gives

Δx =6/n and xi= -1 + 6i/n.

Therefore,

Rn =  Σ f(xi) Δx

     = Σ 3 (-1 + 6i/n)² 6/n

     = Σ 18/n (1 - 12i/n + 36i²/n²)

The limit of a function in mathematics is a key idea in calculus and analysis regarding the behavior of that function close to a specific input.

Informally, a function f gives each input x an output f(x). If f(x) approaches L as x approaches input p, we say that the function has a limit L at that location. More specifically, any input that is sufficiently close to p when f is applied forces the output value arbitrarily close to L.

The concept of limit is specifically used in the various definitions of continuity. Roughly speaking, a function is continuous if all of its limits agree with the values of the function. The term "limit" is also used in the definition of the mathematical term "derivative," which in one-variable calculus refers to the maximum value of the slope of secant lines on a function's graph.

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Answer:

Step-by-step explanation:

its not 4/4