A line has a slope of and passes through the point (4, 7). What is its equation in
slope-intercept form?

Answer: 1:3:4:2

Step-by-step explanation: Cause it is :D

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Answer:

y = -1/2x + 3.5

Step-by-step explanation:

The gradients of perpendicular lines multiply to make -1. The gradient of the line given is 2, so 2 multiplied by something gives us -1. 2 × -1/2 = -1. The gradient of the perpendicular line is -1/2

y = -1/2x + c

Now we can substitute x = 1 and y = 3 into the equation:

The equation of the line is y = -1/2x + 3.5

Hope this helps!

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

Step 01:

Data

∠ 1 ≅ ∠ 2

∠ 3 ≅ ∠ 4

AB = BC = 5 cm

Step 02:

We must apply the rules of congruent triangles to find the solution.

∠ 1 ≅ ∠ 2

∠ 3 ≅ ∠ 4

∠ A ≅ ∠ C

Δ AEB:

∠ 3 ===> angle

AB = 5 cm ===> side

∠ A ===> angle

Δ CEB:

∠ 4 ===> angle

BC = 5 cm ===> side

∠ C ===> angle

A-S-A rule (angle-side-angle):

Δ AEB ≅ Δ CEB, are congruent because all values are equal.

The answer is:

Applying the ASA rule we can conclude that both triangles are congruent.

hope this helps :)

Answer: six-hundred and nineteen thousand four-hundred and ninety three

Step-by-step explanation:

Approximately 138.3 grams of the compound will remain after 8 hours. The decay of a radioactive compound is an exponential process, which can be modeled by the equation:

N(t) = N₀ * e^(-λt)

where N(t) is the amount of the compound remaining at time t, N₀ is the initial amount of the compound, λ is the decay constant, and e is the mathematical constant known as Euler's number.

To find the amount of the compound remaining after 8 hours, we need to plug in the given values into the equation above. We know that the initial mass of the compound is 260 grams, and the decay rate is 3.8% per hour, which means that the decay constant λ is equal to 0.038. Therefore, the equation becomes:

N(8) = 260 * e^(-0.038 * 8)

Simplifying this equation gives:

N(8) = 260 * e^(-0.304)

N(8) ≈ 138.3 grams

Therefore, approximately 138.3 grams of the compound will remain after 8 hours.

It's important to note that this calculation assumes that the decay rate remains constant over time, which may not always be the case in reality. Additionally, the actual amount of the compound remaining may vary due to experimental error or other factors.

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Answer:

12.85, 12.86, 12.87, 12.88, 12.89, 12.90, 12.91, 12.92, 12.93, and 12.94

Step-by-step explanation:

there is none

P Q P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q

T T T T T F F F F F T    T

F T T F F T T T T T F    F

P F T F F T T T T T F     F

-P T T F F T T T T T F     F

-Q T T T T F T F F F T     T

-P V -Q T T F F T T T T T F

-P -> Q T T F F T T T T T F

-P -> -Q T T F F T T T T T F

P <-> Q T T T T F T T T T F

Here is a more detailed explanation of how I filled out the table:

P | Q : This column is simply the truth value of P and Q. If P and Q are both true, then the entry in this column is T. If P is true and Q is false, then the entry in this column is F. If P is false and Q is true, then the entry in this column is F. And if P and Q are both false, then the entry in this column is T.

P V Q : This column is the truth value of P or Q. If P is true, then the entry in this column is T. If Q is true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.

P ^ Q : This column is the truth value of P and Q. If P and Q are both true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.

P -> Q : This column is the truth value of P implies Q. If P is true and Q is false, then the entry in this column is F. And if P is false or Q is true, then the entry in this column is T.

-P : This column is the negation of P. If P is true, then the entry in this column is F. And if P is false, then the entry in this column is T.

-Q : This column is the negation of Q. If Q is true, then the entry in this column is F. And if Q is false, then the entry in this column is T.

-P V -Q : This column is the truth value of not P or not Q. If P and Q are both true, then the entry in this column is F. If P and Q are both false, then the entry in this column is T. And if P or Q is true, then the entry in this column is T.

-P -> Q : This column is the truth value of not P implies Q. If P is true and Q is false, then the entry in this column is T. And if P is false or Q is true, then the entry in this column is F.

-P -> -Q : This column is the truth value of not P implies not Q. If P and Q are both true, then the entry in this column is T. If P is false or Q is false, then the entry in this column is T. And if P is true and Q is true, then the entry in this column is F.

P <-> Q : This column is the truth value of P if and only if Q. If P and Q are both true or P and Q are both false, then the entry in this column is T. And if P and Q have different truth values, then the entry in this column is F.

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Answer:

parallelogram.

quadrilateral.

rectangle.

rhombus.

square.

Answer:

See below

Step-by-step explanation:

\(x^4-81\\=(x^2)^2-9^2\\=(x^2+9)(x^2-9)\\=(x^2+9)(x+3)(x-3)\)

The student forgot to factor \(x^2-9\) into \((x+3)(x-3)\) but was on the right track.

The simplified form of -20/2(7 2/3) is -230/3.

To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.

First, let's convert the mixed number 7 2/3 to an improper fraction.

7 2/3 = (7 * 3 + 2) / 3 = 23/3

Now, let's substitute the value back into the expression:

-20/2 * (23/3)

Next, we simplify the multiplication:

-10 * (23/3)

To multiply a fraction by a whole number, we multiply the numerator by the whole number:

-10 * 23 / 3

Now, we perform the multiplication:

-230 / 3

Therefore, the simplified form of -20/2(7 2/3) is -230/3.

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Answer:It would be the first class

Step-by-step explanation:

Because you are paying $70 per month and get a the class you want. and also i had the sames question also

just because the second class has smaller fees it also says that  you have to pay more for every class.

After school, Sanah takes a train and then a bus to get home. The train ride is 40 min longer than the bus ride. The total travel time is 4/3 h. Sanah's bus ride is 20 minutes

The problem is asking of fraction

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split.

4/3 of an hour = 4/3 * 60 = 80 minutes

let the bus ride be b

train ride = 40 + b

Total ride  = b + 40 + b

80 = 40 + 2b

80 - 40 = 2b

2b = 40

b = 20

the bus ride is 20 minutes

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Answer:

Rhombus

Step-by-step explanation:

This could be a rhombus since in a square, the lines are congruent and perpendicular, so we move on to a broader shape, rectangles. the diagonals are congruent but not perpendicular, so we go to rhombus, and in a rhombus the diagonals are not congruent but they are perpendicular.

Answer:

72% if I get it wrong then I'm really sorry

Step-by-step explanation:

Answer:

The value of the test statistic is 2.17.

Step-by-step explanation:

The test statistic is:

\(t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

In which X is the sample mean, \(\mu\) is the hypothetised mean, \(\sigma\) is the standard deviation and n is the size of the sample.

Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 54%.

This means that:

\(\mu = 0.54\)

\(\sigma = \sqrt{0.54*0.46} = 0.4984\)

A political study took a sample of 1300 voters in the town and found that 57% of the residents favored construction.

This means that \(n = 1300, X = 0.57\)

Find the value of the test statistic.

\(t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(t = \frac{0.57 - 0.54}{\frac{0.4984}{\sqrt{1300}}}\)

\(t = 2.17\)

The value of the test statistic is 2.17.

The correct option is (b) i.e. The cosecant of an angle is defined as the length of the hypotenuse over the length of the side opposite.

What is Trigonometric ratio?

Trigonometric ratios are mathematical functions used in trigonometry, which is the branch of mathematics that deals with the relationships between the sides and angles of triangles. The three main trigonometric ratios are sine, cosine, and tangent

All statements contain some sort of mistake except the statement (b).

The statements should be corrected as given below:

A). The cosine of an angle is defined as the length of the side adjacent over the length of the hypotenuse.

C). The cotangent function is defined as the length of the side adjacent over the length of the side opposite.

D). The sine function is defined as the length of the side opposite over the length of the hypotenuse.

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Step-by-step explanation:

speed=distance÷time

A.V.S=440÷11=40m/s

hope it helps.. Please mark brainliest.

Answer:

40 m/s

Step-by-step explanation:

Find:

We are asked to find the unit rate, How many meters per 1 second?

Know:

440 meters in 11 seconds

Solve:

440 meters in 11 seconds

  ? meters in 1 second

   440/11  = 40 meters per second

Answer:

The average speed of the person is 40 m/s

The ship started at the Position 0.14 units.

To determine the starting position of the ship, we can consider the distance sailed to the left and the distance to the treasure.

Given that you sailed 0.055 units to the left and found the treasure at 0.085 units, we can represent this situation mathematically as follows:

Starting position + Distance sailed to the left = Distance to the treasure

Let's assign a variable, "x," to represent the starting position of the ship.

The equation becomes:

x - 0.055 = 0.085

To find the value of x, we can solve this equation by isolating x on one side:

x = 0.085 + 0.055

x = 0.14

Therefore, the ship started at the position 0.14 units.

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Answer:

It is a relflection.This is a reflection horizontally bc they are not dialatedor rotated. please vote brainliest

Step-by-step explanation:

Answer:

I don't get it the two triangles look the same

Step-by-step explanation:

The graph that represents the given piecewise function has a range of

R: (-∞, 0) ∪ (0,2] ∪ (4, ∞).

A piecewise function is a combination of subfunctions that are defined with different intervals in the domain.

The range of the piecewise function is the union of all the ranges of the subfunctions.

The given piecewise function is

g(x) = x², x < 0

      = 1/2 x, 0 < x ≤ 4

      = x, x > 4

The domain and range for the subfunctions in the given piecewise function are:

for g(x) = x²; Domain is {x < 0} and Range is (-∞, 0)

for g(x) = 1/2 x; Domain is {0 < x ≤ 4} and Range is (0, 2]

for g(x) = x; Domain is {x > 4} and Range is (4, ∞)

Then, the range of the given piecewise function is

Range: (-∞, 0) ∪ (0, 2] ∪ (4, ∞)

Thus, the graph shown in the question is the correct one.

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Answer: c, its da 3rd graph

Step-by-step explanation:

let's firstly convert the mixed fractions to improper fractions.

\(\stackrel{mixed}{3\frac{2}{3}}\implies \cfrac{3\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{11}{3}}~\hfill \stackrel{mixed}{2\frac{1}{4}} \implies \cfrac{2\cdot 4+1}{4} \implies \stackrel{improper}{\cfrac{9}{4}} \\\\[-0.35em] ~\dotfill\\\\ -\cfrac{11}{3}-\left( \cfrac{9}{4} \right)\implies -\cfrac{11}{3}+\cfrac{9}{4}\implies \cfrac{-(4)11~~ + ~~(3)9}{\underset{\textit{using this LCD}}{12}} \\\\\\ \cfrac{-44+27}{12}\implies \cfrac{-17}{12}\implies {\Large \begin{array}{llll} -1\frac{5}{12} \end{array}}\)

Answer:

57

Step-by-step explanation:

this is the boybfiend

The motivations for producers and consumers in the black market are largely driven by financial incentives and a desire to avoid legal consequences.

The black market refers to the illegal trade of goods and services that are not permitted by law, such as drugs, counterfeit items, and stolen goods. Producers and consumers in the black market are motivated by a variety of factors, including:

High profits, Producers in the black market can earn higher profits than they would in legal markets due to the lack of regulation and taxes.

Escaping legal consequences: Producers and consumers may participate in the black market to avoid legal consequences, such as fines or imprisonment, for engaging in illegal activities.

Limited availability, Some goods and services are only available on the black market due to legal restrictions or limited supply.

Low prices, Consumers in the black market can often purchase goods and services at lower prices than in legal markets due to the lack of taxes and regulations.

Desire for anonymity, The black market can provide anonymity for both producers and consumers, allowing them to engage in illegal activities without fear of detection or retribution.

However, participating in the black market also comes with significant risks, including the possibility of arrest, fines, and even violence.

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Answer:

C. Infinite, I think.

Step-by-step explanation:

Because if you plug in y=3x-1 the equation would be: 6x-2(3x-1)=-2 and when you distribute the 2, the equation becomes: 6x-6x-2=-2. Then you do 6x-6x which =0 and then subtract another 2 and you get -2=-2

In circle the length of PQ = 24 inches.

What is Circle?

A circle is a closed, two-dimensional object in which all points in the plane are equally spaced apart from the centre. The line of reflection symmetry is formed by each line that traverses the circle. Additionally, it possesses rotational symmetry around the centre for each angle.

Since AB= 25 inches and AC = 16 inches then

=> BC = AB-AC = 25-16 = 9 inches.

∠APB is a right angle because it is inscribed in a semicircle.

The three right triangles ᐃAPB, ᐃACP and ᐃPCB are all similar

because their corresponding angles are equal.  Therefore

=> \(\frac{AC}{PC}=\frac{PC}{BC}\)

=> \(\frac{16}{PC}=\frac{PC}{9}\)

=> \(PC^2 = 25*9 = 144 = 12^2\)

=> PC = 12 inches

By symmetry , PC = QC then,

=> PQ = 12*2 = 24 inches.

Hence the length of PQ is 24 inches.

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The answer is based on local zoning laws and a number of variables:

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