A circle has an arc whose measure is 80° and whose length is 88. What is the diameter of the circle?

Answer: Y is equal to 9

Step-by-step explanation:

2(4) + 1 = 9

y = 9

Answer: 9

Step-by-step explanation:

You replace x in the equation with what was given to you, in this case 4.

It will end up as such:

y = 2 x 4 + 1

y = 8 + 1

y = 9

When You fill up your car with 15 gallons of gasoline. then it weighs 90 pounds of weight.

the weight of an object is the force acting on the object due to gravity.

Given

A car with 15 gallons of gasoline is filled.

We need to find the weight of the gasoline

We know that 1 gallons of gasoline is 6 pounds

So now for 15 gallons will be fifteen times of 6 pounds

15×6

90 pounds

90 pounds is the weight of the gasoline.

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The requried,  Cole purchased 11 songs and 15 movies.

Let x be the number of songs that Cole purchased, and let y be the number of movies that he purchased.

We can write a system of equations based on the information given:

1.25x + 2.75y = 55 (the total amount spent is $55.00)

x + y = 26 (the total number of songs and movies purchased is 26)

To solve this system of equations, we can use substitution or elimination. Here, we will use substitution.

First, we can rearrange the second equation to solve for one of the variables:

x + y = 26

x = 26 - y

Then, we can substitute this expression for x into the first equation:

1.25x + 2.75y = 55

1.25(26 - y) + 2.75y = 55

32.5 - 1.25y + 2.75y = 55

1.5y = 22.5

y = 15

Finally, we can substitute this value of y back into the equation we found for x:

x = 26 - y

x = 26 - 15

x = 11

Therefore, Cole purchased 11 songs and 15 movies.

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in traingle ABC and traingle KTD

AB = KT

BC = TD

AC = KD

now about angle

angle A = k

angle B = T

angle C = D

hope it helps

Answer:

Step-by-step explanation:

Pls give simple working

Answer:

none of the choices

Step-by-step explanation:

normally, the form for the answer would be p(s)=Ab^x, but I don't see that here in any of the answer choices. The answer would be p(s)=114,000(0.985)^x.

hope this helps, but downvote this answer if it is wrong :(

I hope this helps you

Answer:

6 words per minute

Step-by-step explanation:

Divide 36 by 6 minutes to find how many words per minute

Answer:

6 words per minute

Step-by-step explanation:

36 words/ 6 minutes = 6 words per minute

The true statements for this graph are:

B. The domain is the set of all real numbers.

D. The range is the set of all real numbers greater than or equal to zero.

A domain can be defined as the set of all real numbers for which a particular function is defined. For this graph, the vertex of the parabola is (1, 0) and as such, the equation will be given by:

y = (x - h)² + k

y = (x - 2)² + 0

y = x² -4x + 4

Therefore, the graph's domain include a set of all real numbers.

A range refers to a set of all real numbers that connects with the elements of a domain. For this graph, we can observe that only real numbers greater than or equal to zero (0) are connected to the values on the x-axis of the domain.

In conclusion, we can logically deduce that the true statements for this graph are:

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Step-by-step explanation:

first : the sum of all angles in a triangle is always 180°.

second : the law of sine

a/sin(A) = b/sin(B) = c/sin(C)

a, b, c are the sides, A, B, C are the the corresponding opposite angles.

therefore,

angle J = 180 - 71 - 46 = 63°

j/sin(J) = k/sin(K)

11/sin(63) = k/sin(46)

k = 11×sin(46)/sin(63) = 8.880673249... m

Answer:

Step-by-step explanation:

Answer:

v=96

Step-by-step explanation:

cross multiply 12*8 and 1*v. You get v=96

Answer:

slope = 1

Step-by-step explanation:

slope = (y2 - y1)/( x2-x1)

slope = -2-3/-3-2

slope = -5/-5

slope = 1

Answer:

Step-by-step explanation:

The graph has negative leading coefficient as

It is of the odd degree, and the degree is most probably 5

The inequality represents all possible values for the clerk's sales, s, on Monday is 0.1s + 125 < 180.

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

A clerk earns $125 per day, plus a commission equal to 10% of her sales, s. The clerk earns less than $180 on Monday.

The total commission on her sales s = 10% x s

                                                           = 0.1s

The total money earn on monday = 0.1s + 125

The inequality represents all possible values for the clerk's sales, s, on Monday.

The clerk earns less than $180 on Monday.

0.1s + 125 < 180

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The corresponding equation is 4q + 3p = 22.

What is the slope of a line ?

The ratio of the change in the y coordinate to the change in the x coordinate is known as a line's b in mathematics.

Y and X, respectively, stand for the net change in the y-coordinate and the net change in the x-coordinate. Locate two locations along the chosen line and find their coordinates.

Find the y-coordinate difference between these two places (rise). Find the difference between the x-coordinates of these two points (run). Subtract the difference in y-coordinates from the difference in x-coordinates (rise/run or slope).

The slope is defined as the relationship between the rise, or vertical change, between two points and the change, or horizontal change, between the same two points and can be represented as an equation.

Given that, coordinates are (p, 1/2) and (-8, q), slope is 3/4.

m = (y2 - y1)/(x2 - x1)

34 = (q - 1/2)/-8 - p

-24 - 3p = 4q - 2

4q + 3p = 22

The corresponding equation is 4q + 3p = 22.

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Answer:

17) the parallel slope is 4x.

18) the parallel slope is 2x.

19)the parallel slope is -4/-3x.

    because 4x-3y=-15

                    -4x      -4x

                     - 3y=-4x-15

                     -3      -3    -3

                        y=-4/-3-5

20)the parallel slope is -5/2x

5x+2y=6

     -5x   -5x

    2y=-5x+6

    2      2    2

y=-5/2x + 3

Step-by-step explanation:

don´t forget to brainllest!:)

Answer:

120 i think. sorry if its wrong.

Answer:

10 gallons

Step-by-step explanation:

If 60 gallons of water drains in 6 minutes, that means that to find the amount drained per minute, you would have to divide the number of gallons per minute. So 60 gallons÷6 minutes is 10 gallons per minute.

Answer:

I believe it is D.

Step-by-step explanation:

we can determine whether x + y = 5 based on the information provided in the two statements.


To solve for x + y, we can use a system of equations.

Statement (1) gives us the equation 4x + y = 17. We can solve for y by subtracting 4x from both sides, giving us y = 17 - 4x.

Statement (2) gives us the equation x + 4y = 8. We can substitute y with 17 - 4x (from statement 1) to get x + 4(17-4x) = 8. Simplifying this equation gives us 15x = 60, or x = 4.

Substituting x = 4 into either statement gives us y = 1.

Therefore, x + y = 4 + 1 = 5.


Based on the information provided in the two statements, we can conclude that x + y does indeed equal 5. Statement (1) and (2) together give us enough information to solve for x and y, which allows us to confirm the main answer.

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The quantity that is equal to the energy per second generated by fusion in the Sun's core is the temperature of the Sun's core. Therefore, the correct option is C.

The fusion reactions that occur in the core of the Sun release energy in the form of radiation and heat, and this energy is transported outwards towards the photosphere. The temperature of the core is directly related to the rate of fusion reactions and the amount of energy generated.

The luminosity of the photosphere (option b) and the force of gravity holding the Sun together (option d) are important factors in understanding the overall behavior of the Sun, but they are not directly related to the energy generated by fusion in the core. The temperature at the photosphere (option a) is also not directly related to the energy generated by fusion in the core, although it is a measure of the temperature of the outer layers of the Sun where visible light is emitted. Hence, the correct answer is option C.

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The coins used for buying hot chocolate are 8 dimes and 4 nickels.

What are dimes and nickels?

The size of the nickel and dime coins is different, yet they are both silver in color. The dime is smaller than the nickel coin, but having a higher value. The value of each coin can be used to calculate the sum of several coin combinations.

We are given that hot chocolate is bought for $1.00 and only two kinds of coins to make $1.00 with exactly 12 coins.

We know that the value of a nickel is five cents, while that of a dime is ten cents. A dime is therefore equivalent to two nickels in value. The value of a nickel is therefore equal to half the value of a dime.

So, we get that he used 4 nickels and 8 dimes which make 12 coins and 100 cents which is equal to $1.

Hence, the coins used for buying hot chocolate are 8 dimes and 4 nickels.

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There is an association between birth rate and death rate during this time interval are True.

Interval is a set of values that lie between two given numbers or points. It is used to represent a continuous magnitude, such as distance, temperature, time, or mass. Intervals are commonly used in mathematics, music theory, and statistics. In mathematics, an interval may be a set of real numbers, a set of real numbers and their limits, a set of points in a line, a set of points in a plane, or a set of points in a space. In music theory, an interval is the ratio of two frequencies. In statistics, an interval is the range of values within which a measured value is expected to fall.

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Answer:

5th option

Step-by-step explanation:

The secant- tangent angle DCB is half the difference of the intercepted arcs, that is

∠ 1 = \(\frac{1}{2}\) ( AD - BD)

Answer:

y=-2x-12

Step-by-step explanation:

first, putt 3x-6y=2 in standard form:

subtract 3x from both sides: -6y=-3x+2

divide both sides by -6 to isolate y: y=1/2x-1/3

if the other line is perpendicular to this, you must find the slope by finding the opposite reciprocal of 1/2x: -2

now we have 2 points a slope, so we use the point-slope formula: y-y1=m(x-x1)

y+2=-2(x+5)

Use the distributive property: y+2=-2x-10

subtract 2 for both sides to isolate y: y=-2x-12

Q(√2, ∛2, ⁴√2, ...) is an algebraic extension of Q but not a finite extension of Q since every element in this extension is algebraic over Q.

To prove that the extension Q(√2, ∛2, ⁴√2, ...) is an algebraic extension of Q, we need to show that every element in this extension is algebraic over Q.

Let's consider an arbitrary element in the extension, say √2. We know that √2 is algebraic over Q because it is a root of the polynomial x² - 2 = 0. Similarly, for ∛2, it is a root of the polynomial x³ - 2 = 0. The same logic applies to ⁴√2 and other elements in the extension. Each of these elements is algebraic over Q because they satisfy polynomial equations with coefficients in Q.

Therefore, Q(√2, ∛2, ⁴√2, ...) is an algebraic extension of Q.

To prove that it is not a finite extension of Q, we need to show that there is an infinite number of elements in the extension. We can observe that for every positive integer n, there exists an element in the extension that is the nth root of 2. For example, √2 is the square root (n = 2), ∛2 is the cube root (n = 3), ⁴√2 is the fourth root (n = 4), and so on. Since there are infinitely many positive integers, there are infinitely many elements in the extension. Hence, Q(√2, ∛2, ⁴√2, ...) is not a finite extension of Q.

Therefore, we have proven that Q(√2, ∛2, ⁴√2, ...) is an algebraic extension of Q but not a finite extension of Q.

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Answer:

B, C and D

Step-by-step explanation:

Ema found the surface area of a cone as:

\(S.A = \pi(14^2) + \pi(14)(29)\)

Surface Area of a Cone \(S.A.=\pi r^2+\pi rl\)

Therefore:

Radius, r =14 units

Slant Height, l = 29 Units

(B)The diameter of the cone is 28 units.

SInce Diameter =Radius X 2

Diameter = 14 X 2= 28 Units

(C)The base area of the cone is \(196\pi$ units^2.\)

Base Area of a Cone \(=\pi r^2\)

Since r=14 Units

Base Area = \(=\pi 14^2=196\pi $ square units\)

(D)The lateral area is the product of pi, the radius(r), and the slant height(l).

\(L$ateral Area of a cone =\pi rl\)

Therefore, B, C andDapplies.

Answer:

A,B,D

Step-by-step explanation:

The existence of this relief in the Persian capital city clearly portrays the monumental and artistic nature of the Persian Empire.

The Persian Empire, renowned for its grandeur and opulence, left a rich legacy of architectural and artistic achievements. One of the remarkable features of the Persian Empire was its emphasis on monumental structures and elaborate artistic expressions. The existence of the relief in the Persian capital city stands as a testament to the empire's commitment to showcasing its power, wealth, and cultural sophistication. The relief, with its intricate detailing, impressive scale, and artistic finesse, reflects the grand vision and ambition of the Persian Empire. It serves as a visual representation of the empire's wealth, craftsmanship, and mastery of architectural techniques. The Persian rulers, recognizing the significance of art and architecture in projecting their imperial might, invested considerable resources and talent in creating magnificent structures and artworks. Through the existence of this relief, the Persian Empire conveyed its desire to leave a lasting legacy and demonstrate its dominance in the ancient world. The relief's presence in the capital city symbolizes the empire's cultural and artistic achievements, leaving an enduring impression of the Persian Empire's monumental and artistic nature.

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Answer:

No, subtraction is NOT associative in rational numbers.

Step-by-step explanation:

Step-by-step explanation: We are asked to state whether subtraction is associative in rational numbers or not. To explain with an example. The subtraction is NOT associative in rational numbers.

The equation 2/5x=7/20x+1/4 represents the possible ways to begin solving x.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The equation is given in the question

-3/4+2/5x = 7/20x-1/2

If we add 3/4 to both sides of the equation, we get

2/5x = 7/20x + 1/4

If we subtract 2/5x from both sides of the equation, we get

-3/4 = -1/20x -1/2

If we subtract 7/20x from both sides of the equation, we get

-3/4 +1/20x = -1/2

Thus, the equation 2/5x=7/20x+1/4 represents the possible ways to begin solving x.

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The question seems to be incomplete the correct question would be

Horatio is solving the equation -3/4+2/5x=7/20x-1/2. Which equations represent possible ways to begin solving for x? Check all that apply.

2/5x=7/20x+1/4

2/5x=7/20x+5/4

-3/4=-1/20x-1/2

-3/4=3/4x-1/2

-3/4+1/20x=-1/2