Which ratios are equivalent to 8:12

Answer:

It’s under because 365 x 68 = 24,820

So the estimate is under the actual product of 365 and 68

Step-by-step explanation:

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The domain is {2, 4, 5, 6} and the range is {3,4}

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this set of values.

For Example: a simple function like f(x) = x2 can have the domain (what goes in) of just the counting numbers {1,2,3,...}, and the range will then be the set {1,4,9,...}

Given:

From the figure we can see that

The Range of g and the domain of f have common {1, 4, 5, 8}

and, 6 is not the member of composition along with 7and 8 which is connected to 6.

Hence, the domain is {2, 4, 5, 6} and the range is {3,4}

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The equation that relates the length of the woman's shadow (L) and the woman's distance from the street light (x) is given by L = kx, where k is a constant.

When an object is illuminated by a light source, it casts a shadow. The length of the shadow depends on the distance between the object and the light source. In this case, the woman is standing at a distance x from the street light, and her shadow has a length L.

The relationship between the length of the shadow and the distance from the light source is proportional. This means that if the woman moves closer or farther away from the light source, her shadow will change in length accordingly.

To represent this relationship mathematically, we introduce a constant k. The constant k represents the proportionality factor or the scaling factor between the length of the shadow and the distance from the light source. It takes into account the angle of the light and the height of the woman.

Therefore, the equation L = kx expresses that the length of the shadow (L) is directly proportional to the woman's distance from the street light (x).

It's important to note that the constant k may vary depending on the specific conditions and geometry of the situation.

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Step-by-step explanation:

this is math right what grade is this

Answer:

\(34\)

Step-by-step explanation:

Let the first number be \(x\)

The next number be \(2\) more than the previous as it is an even number

The second number is \(x+2\)

and the last number is \(x+4\)

The sum of the numbers is \(108\), so the expression will be

\(x+(x+2)+(x+4)=108\)

\(\Rightarrow 3x+6=108\)

\(\Rightarrow x=\dfrac{108-6}{3}\)

\(\Rightarrow x=34\)

The smallest of the three numbers is \(34\).

The numerical probability of Flora picking out a blue sock is 1 out of 6, or approximately 0.1667, or 16.67%.

To calculate the numerical probability of Flora picking out a blue sock, we need to consider the total number of socks and the number of blue socks in the drawer.

Given:

Total number of socks = 12

Number of red socks = 9

Number of blue socks = 2

Number of green socks = 1

The probability of Flora picking a blue sock can be calculated as the ratio of the number of blue socks to the total number of socks:

Probability of picking a blue sock = Number of blue socks / Total number of socks

Probability of picking a blue sock = 2 / 12

Simplifying the fraction, we get:

Probability of picking a blue sock = 1 / 6

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The general indefinite integral is: (x^2.4)÷2.4 + 2 × x^3.5 + C.

To find the indefinite integral of (x^1.4 + 7x^2.5) dx, you'll need to perform integration on each term separately and add a constant of integration (C).

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The formed triangle is not right angled triangle. The area of circle is 19.64 square units.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The area of circle is -

A = πr² = π(d/2)²

A vector is represented by -

A = A[x] i + A[y] j + A[z] k

We have the following problem -

The corners of triangle PQR lie on a circle. PQ = 3i + 4j and PR = -8i + 6j.

|PQ| = 5 units

|PR| = 10

PR + RQ = PQ

RQ = PQ - PR

RQ = 11i - 2j

|RQ| = 11.18

It can be seen that it is not a right angled triangle.

Equation of the diameter of the circle -

y = 4/3x {Assuming it pass through origin}

Diameter length = 5

Radius length = 5/2

Area of circle = 22/7 x 5/2 x 5/2 = 19.64 square units.

Therefore, the formed triangle is not right angled triangle. The area of circle is 19.64 square units.

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Answer:

x=-3

Step-by-step explanation:

Answer:

x = -3

Step-by-step explanation:

Plug in                

5x + 4(1 - x) = 1    

(y gets replaced by 1 - x)

Multiply                

5x + 4 - 4x = 1

(multiply 4 by whats in the parenthesis)

Combine Constants          

5x - 4x = -3

(constant = numbers without a variable)

(separate constants from variables = numbers with letters)

Combine Variables        

1x = -3

(then you got your answer and you can take the "1" off the x)

The distance of the trap from the hunter's home is approximately 600 meters, and the bearing of the trap from the hunter's home is approximately 22.15°.

To find the distance of the trap from the hunter's home and the bearing of the trap from his home, we can use the given bearings and distances. By applying trigonometry and vector addition, we can calculate these values.

To determine the distance of the trap from the hunter's home, we can break down the problem into two components: the north-south (N-S) and east-west (E-W) directions.

i. Distance of the trap from the hunter's home:

Using trigonometry, we can find the N-S and E-W distances separately.

The N-S distance is given by the formula: NS = distance * sin(bearing).

NS = 600 * sin(115°) ≈ 600 * 0.925 = 555 meters (rounded to the nearest whole number).

The E-W distance is given by the formula: EW = distance * cos(bearing).

EW = 600 * cos(115°) ≈ 600 * 0.380 = 228 meters (rounded to the nearest whole number).

Using these N-S and E-W distances, we can apply vector addition to find the total distance from the hunter's home to the trap.

Total distance = sqrt(N\(S^2\) + E\(W^2\)) ≈ \(\sqrt{(555^2 + 228^2)}\) ≈ \(\sqrt{(308025 + 51984) }\)≈ \(\sqrt{(360009)}\) ≈ 600 meters (rounded to the nearest whole number).

ii. Bearing of the trap from the hunter's home:

The bearing of the trap from the hunter's home is the angle measured clockwise from the north direction.

To find this bearing, we can use the formula: bearing = arctan(EW / NS).

Bearing = arctan(228 / 555) ≈ 22.15° (rounded to two decimal places).

Therefore, the distance of the trap from the hunter's home is approximately 600 meters, and the bearing of the trap from the hunter's home is approximately 22.15°.

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Answer:

Answers:

1-After 2 hours, the travel magician will have made $150.

2-The statement f(30)=200 means that the group size of 30 reaches the minimum charge for the bus rental of $200, and f(50)=300 means that the group size of 50 reaches the maximum charge for the bus rental of $300.

3-330

The answer to the statements are

1. A. After 2 hours, the travel magician will have made $150.

2. C.The statement f(50)=300 means that the group size of 50 reaches the minimum charge for the bus rental of $300, and f(30)=200 means that the group size of 30 reaches the maximum charge for the bus rental of $200.

3. After 6 days the profit of the company will be C. 330 dollars.

A function can be thought of as an output for the given input.

There are statements and we have to interpret from given options.

1. f(2) = 150.

By observing he statements we can say that A. After 2 hours the travel magician will have made 150 dollars.

2.  If the minimum charge to a bus rental is $200, the maximum charge is $300, and the cost is determined by the function f(x)=5x+50 where             30 ≤x≤ 50 is C.The statement f(50)=300 means that the group size of 50 reaches the minimum charge for the bus rental of $300, and f(30)=200 means that the group size of 30 reaches the maximum charge for the bus rental of $200.

3. .The soda shop's profit for a day is modeled with the function f(x)=50x+30 where x is the number of days. to determine how much did the shop make after 6 days we have to put x = 6 which is f(6) = 50(6) + 30 = 330.

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Answer:

The answer toy our problem is, 146 pounds

Step-by-step explanation:

Step 1: Order the numbers from least to greatest

The two middle numbers are 142 and 150. ( Which is the median )

The number between 142 and 150 is 146.

The median weight is 146 pounds.

( To find our middle number of the middle number: )

150 - 142

= 8

8 / 2 = 4

142 + 4 = 146.

Thus the answer our problem is, 146 pounds

Answer:

45 hours

Step-by-step explanation:

720-180 = 540

540 divided by 12 is 45

Answer:

D.

Step-by-step explanation:

In triangle EAK, A is the right angle.

In triangle AGK, G is the right angle.

In triangle EGA, G is the right angle.

That means we know that those letters have to be in the same position in the names of the three triangle.

The triangles are being written in the order: EAK, AGK, EGA

_A_   ~   _G_   ~   _G_

Angle E of triangle EAK corresponds to angle E of triangle EGA.

EA_   ~   _G_   ~   EG_

Angle K of triangle EAK corresponds to angle K of triangle AGK.

EAK   ~   _GK   ~   EG_

There is only one vertex missing in the last two triangles, so they must be A and A.

EAK   ~   AGK   ~   EGA

Answer: D.

Answer:

x=4

Step-by-step explanation: take (possative)3x and add it to -5x. -2x+9=1. subtract 9 from 1. -2x=-8. devide bolth sides by -2. a negative devided by  a negative makes a possative soit equallls x=4

Answer:

x= -6

Step-by-step explanation:

Isolate the variable by dividing each side by factors that do not contain the variables.

Hope this helped!

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Answer:

x = -6

Step-by-step explanation:

Using the multiplication rule, the joint probability of event A and event B is computed by multiplying the conditional probability of event A given event B by the probability of event B.

Mathematically, it can be represented as P(A and B) = P(A|B) × P(B), where P(A|B) is the conditional probability of A given B, and P(B) is the probability of B.

In other words, the multiplication rule is used to compute the probability of two events occurring together, given the probability of one event occurring and the probability of the other event occurring given the first has occurred. This rule is widely used in probability and statistics to calculate the probability of complex events, especially in cases where events are not mutually exclusive.

For example, consider a scenario where we want to calculate the probability of getting two heads when flipping two coins. Using the multiplication rule, we can calculate this probability as follows: P(Two heads) = P(Head on first flip) × P(Head on second flip given the first flip was a head) = (1/2) × (1/2) = 1/4.

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Answer:

-24 degrees Celsius

Step-by-step explanation:

6 x -4 = -24

Answer:

24 degrees.

Step-by-step explanation:

6 * 4 = 24.

An equation represents the slope-intercept form of the given line is y= 1/2 x+8. Therefore, option D is the correct answer.

Given that, y-intercept = (0, 8) and slope = 1/2.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

Substitute m=1/2 and c=8 in y=mx+c, we get

y= 1/2 x+8

Therefore, option D is the correct answer.

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Answer:

3

Step-by-step explanation:

A'B'C'D' is 3 times bigger than ABCD, so to get back to the original we gotta count the length of B'C' and devide by 3

\(9 \div 3 = 3\)

The length of the segment BC or preimage of BC was 3 units.

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

Given, A Quadrilateral A' B'C'D' is the image of quadrilateral ABCD under a dilation with a scale factor of 3.

From the graph diagram the length of segment B'C' is 9 units.

Therefore, Before the dilation, the length of the segment BC would be

(1/3)×9.

= 3 units.

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Answer:

C. y ≤ −3x + 2 . Not sure, but I'm kind of confident in my answer.

Answer: The answer is 91.44 centimeters/cm

Step-by-step explanation:

2.54*36= 91.44 centimeters/cm

A 36-inch long measuring stick is equivalent to 91.44 cm.

To convert inches to centimeters, we can use the conversion factor:

1 inch = 2.54 cm

To find out the length of a 36-inch measuring stick in centimeters,

we multiply the length in inches by the conversion factor:

36 inches x 2.54 cm/inch

= 91.44 cm

Therefore, a 36-inch long measuring stick is equivalent to 91.44 cm.

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Answer: D

Step-by-step explanation: edge 2022

Answer:

B - a reflection across line n followed by a 270° rotation about point P

Step-by-step explanation:

got it correct on edge

The equation that shows the correct relationship between the measures of the angles of the two triangles is;

Option D: The measure of angle BCA = The measure of angle C prime A prime B prime

We are told that Triangle ABC is transformed to triangle A′B′C′.

Now,  the triangle ABC and A'B'C' are similar triangles and we know that similar triangles angles are congruent. Thus;

From the given coordinates, we can say that;

∠BAC = ∠B'A'C'

∠ABC = ∠A'B'C'

∠ACB = ∠A'C'B'

Thus, the equation that shows the correct relationship between the measures of the angles of the two triangles is;

The measure of angle BCA = The measure of angle C prime A prime B prime

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We have demonstrated the definition of an isosceles triangle.

What is an isosceles triangle?

An isosceles triangle is a triangle with at least two equal-length sides in geometry. It is sometimes specified as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter version including the equilateral triangle as a special case.

The isosceles triangle has both two equal sides and two equal angles. The name derives from the Greek iso (same) and Skelos (leg). A triangle with all sides equal is called an equilateral triangle, and a triangle with no sides equal is called a scalene triangle.

The given diagram shows an isosceles triangle.

Hence, we have demonstrated the definition of an isosceles triangle.

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Answer:

90 miles per hour is the average speed.

Step-by-step explanation:

The formula for Average Speed can be given as follows:

\(\text{Average Speed}= \dfrac{\text{Total Distance Traveled}} {\text{Total Time Taken}}\)

Here time taken is from 1 PM to 4 PM i.e.

Total Time taken = (4-1) hours = 3 hours

Also, it is given that the Total distance covered = 270 miles

As per the formula above:

\(\text{Average Speed} = \dfrac{270}{3}\\\Rightarrow \text{Average Speed} = 90\ miles/hour\)

So, answer is: 270 miles/ hour is the average speed of the train from Philadelphia to Boston.

A useful graphical method of constructing the sample space for an experiment is a tree diagram that is option A.

A tree diagram is a useful graphical method of constructing the sample space for an experiment. It is a type of diagram used to represent the possible outcomes of an event. The diagram is structured in a way that each branch of the tree represents an event that can occur, and each level of the tree represents a stage in the experiment. By using a tree diagram, it is easier to visualize and understand all the possible outcomes of an experiment and the probabilities associated with each outcome. Therefore, option A is the correct answer.

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Answer:

$500 , quarterly , 1.50%

Step-by-step explanation:

plato / edmentum

The initial balance of the account is $1250. The interest rate per year is 1.2% and the account is compounded 4 times yearly (quarterly)

An equation is an expression that shows the relationship between two or more numbers and variables.

The function \(f(x)=1250(1+\frac{0.012}{4} )^{4t\) models the balance in a savings account. Hence:

The initial balance of the account is $1250. The interest rate per year is 1.2% and the account is compounded 4 times yearly (quarterly)

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