Justin and his children went into a bakery and where they sell cookies for $0.75 each and brownies for $1.25 each. Justin has $15 to spend and must buy no less than 12 cookies and brownies altogether. If Justin decided to buy 7 brownies, determine the maximum number of cookies that he could buy. If there are no possible solutions, submit an empty answer.
Answers
Answer:
Justin could buy up to 8 cookies.
Step-by-step explanation:
7 * 1.25 = 8.75
15 - 8.75 = 6.25
6.25/.75 = 8.3333333
Related Questions
please help due today!! I really need this!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Step-by-step explanation:
Nate - I can't fold my invitation at all. The parts won't match.
Hector - I can fold my invitation more than one way.
Daniel - I can fold my invitation along only a horizontal line.
Micheal - I can fold my invitation along only a vertical line.
The Soviets violated democratic and civil liberties through corrupt elections and suppression of free speech, but also claimed to provide citizens with social and economic rights. The US, on the other hand, did not consider economic, social, and cultural rights as a quality of freedom. Freedom House, an American-based NGO, evaluated freedom in the world's nations based on the idea of open elections or ability to speak out on public issues, claiming that rights like access to unemployment, housing, education, medical care, etc. should not be included in the definition of freedom. These rights (social, economic, and cultural), though included in one of the two covenants of the Declaration of Human Rights, were not ratified by the US Congress until 1992.
Answers
The difference between the Soviet and US views on freedom can be summarized as follows:
1. The Soviets prioritized social, economic, and cultural rights, such as access to unemployment benefits, housing, education, and medical care. However, they violated democratic and civil liberties, such as free speech and conducting corrupt elections.
2. The US focused more on democratic and civil liberties, like open elections and the ability to speak out on public issues. However, the US did not consider social, economic, and cultural rights as part of the definition of freedom.
3. Freedom House, an American-based NGO, evaluated nations' freedom based on democratic and civil liberties, rather than including social, economic, and cultural rights.
4. Although social, economic, and cultural rights are part of the Declaration of Human Rights, the US Congress did not ratify these rights until 1992.
In summary, the Soviets emphasized social and economic rights at the expense of democratic and civil liberties, while the US prioritized democratic and civil liberties but did not initially recognize social, economic, and cultural rights as essential components of freedom.
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You spin the spinner, flip a coin, then spin the spinner again. Find the probability of the compound event.
Spinning an even number, flipping tails, then spinning an odd number.
Answers
Answer:
Step-by-step explanation:
There are nine numbers on the spinner with 4 even and 5 odd numbers. Flipping a tail is just 1/2 so
P(ETO)=(4/9)(1/2)(5/9)
P(ETO)=20/162
P(ETO)=10/81
download the document below and complete the proof of the triangle sum theorem. once completed, save the file for upload at the bottom of this page.
Answers
The request is to download a document and complete the proof of the Triangle Sum Theorem. After finishing the proof, the completed file should be saved for upload on a webpage.
The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always equal to 180 degrees. To complete the proof, it is necessary to provide a logical and coherent argument that supports this theorem. The document provided likely contains a partially completed proof, and the task is to finish it.
The proof of the Triangle Sum Theorem typically involves using the properties of parallel lines and alternate interior angles. By extending one side of the triangle, parallel lines can be created that intersect with the other sides. This forms interior and exterior angles that can be related to the interior angles of the triangle. Through geometric reasoning and the use of angle relationships, the proof should demonstrate that the sum of the interior angles of a triangle equals 180 degrees.
Once the proof is completed, the document should be saved for upload on the webpage specified, most likely for evaluation or further review. It is important to follow any instructions provided regarding the file format or naming conventions for the upload.
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How many powers of 7 are contained in 10?
Answers
There is only 1 power of 7 contained in 10.
Students use powers of numbers to solve this problem and learn what is occurring to the numbers as a result.
Students also learn how to divide a seemingly vast and challenging equation into smaller, more accessible components. The pupils should understand that raising 7 to a power only produces a finite number of unit digits. Furthermore, as the power of 7 rises, these particular numbers "circle round." 7, 9, 3, and 1 make up this cycle.
The digit in the tens place is the same.
The total number of times we multiply a number is known as its exponent or power. For instance, 2 to the power 3 denotes a 3x3 multiplication of 2.
The largest power of 7 that is less than 10 is 7^1 = 7, therefore there is only 1 power of 7 contained in 10.
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There is only 1 power of 7 contained in 10.
Students use powers of numbers to solve this problem and learn what is occurring to the numbers as a result.
Students also learn how to divide a seemingly vast and challenging equation into smaller, more accessible components. The pupils should understand that raising 7 to a power only produces a finite number of unit digits. Furthermore, as the power of 7 rises, these particular numbers "circle round." 7, 9, 3, and 1 make up this cycle.
The digit in the tens place is the same.
The total number of times we multiply a number is known as its exponent or power. For instance, 2 to the power 3 denotes a 3x3 multiplication of 2.
The largest power of 7 that is less than 10 is 7^1 = 7, therefore there is only 1 power of 7 contained in 10.
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Use the distributive property with factoring to find the equivalent expression. 12t + 30s = (2t + s)...
SOMEONE HELP ME LOL
Answers
12t + 30s = (2t + s)(6t + 15)
Using the distributive property, we get:
12t + 30s = (2t6t) + (2t15) + (s6t) + (s15)
= (12t^2) + (30t) + (6st) + (15s)
This is the equivalent expression.
In a photograph, Alison stands next to her brother Caleb. Alison is 4 cm tall in the photograph. Her actual height is 60 in. Caleb is 3.2 cm tall in the photograph.
What is his actual height?
(Show your work)
Answers
Answer:
Caleb's actual height is 48 inches
Step-by-step explanation:
Alison's height in the photograph= 4 cm
Caleb's height in the photograph= 3.2 cm
Alison's actual height= 60 in
Caleb's actual height=x in
60 in= 152.4 cm
Alison's height in photograph : Her actual height = Caleb's height in photograph : his actual height
4cm : 152.4cm = 3.2cm : xcm
4 / 152.4 = 3.2 / x
Cross product
4 * x = 152.4 * 3.2
4x = 487.68
Divide both sides by 4
x= 121.92 cm
121.92 cm = 48 in
Caleb's actual height is 48 in
. (a) when is the directional derivative of f a maximum? (b) when is it a minimum? (c) when is it 0? (d) when is it half of its maximum value?
Answers
The solution of the following options is angle between the gradient and directional derivative is equal to zero and the gradient's highest value, the directional derivative is maximized..
What are directional derivative and gradient?A directional derivative shows the rate at which a function changes in any particular direction. The directional derivative may be calculated using a formula that uses the gradient. A function of more than one variable's gradient shows the direction of greatest change.
What are the applications of directional derivatives?We may determine the instantaneous rate of z change in any direction at a place using the directional derivative. These instantaneous rates of change may be used to construct planes and lines that are perpendicular to a surface at a particular location, which is the subject of the next section.
Part A:
When the angle between the gradient and directional derivative is equal to zero and the gradient's highest value, the directional derivative is maximized.
Part B:
When the angle between the directional derivative and gradient is 180 degrees, the minimal value will be reached.
Part C:
When the gradient and directional derivative are 90 degrees apart, the result will be zero.
Part D:
At an angle of 60 degrees between the gradient and the directional derivative, its maximum value will be half its maximum value.
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Question * Let D be the region enclosed by the two paraboloids z = 3x² + 12/²4 y2 z = 16-x² - Then the projection of D on the xy-plane is: 2 None of these 4 16 This option This option = 1 This opti
Answers
The correct option would be "None of these" since the projection is an ellipse and not any of the given options (2, 4, 16, or "This option").
To determine the projection of the region D onto the xy-plane, we need to find the intersection curve of the two paraboloids.
First, let's set the two equations equal to each other:
3x² + (12/24)y² = 16 - x²
Next, we simplify the equation:
4x² + (12/24)y² = 16
Multiplying both sides by 24 to eliminate the fraction:
96x² + 12y² = 384
Dividing both sides by 12 to simplify further:
8x² + y² = 32
Now, we can see that this equation represents an elliptical shape in the xy-plane. The equation of an ellipse centered at the origin is:
(x²/a²) + (y²/b²) = 1
Comparing this with our equation, we can deduce that a² = 4 and b² = 32. Taking the square root of both sides, we have a = 2 and b = √32 = 4√2.
So, the semi-major axis is 2 and the semi-minor axis is 4√2. The projection of region D onto the xy-plane is an ellipse with a major axis of length 4 and a minor axis of length 8√2.
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what is the end behavior of the function? \(f(x)=\frac{4x}{x-16}\)
Answers
As x approaches both positive and negative infinity, f(x) approaches 4.
![what is the end behavior of the function? [tex]f(x)=\frac{4x}{x-16}[/tex]](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/STpqBuFwTtJjpuSNfnRAR81t3B49GHKk.jpeg)
in the game of poker, five cards are dealt. recall the regular deck of cards has 13 denominations and 4 suits. what is the probability of getting 5 consecutive cards (i.e., from 2, 3, 4, 5, 6, all the way to 10, j, q, k, a), all of the same suit? (note: if you are not familiar with cards, this is equivalent with having natural numbers 1, 2, . . . , 13, each coming in 4 different colors/suits; what is the probability of choosing 5 consecutive natural numbers, all of the same color? the desired consecutive cards/numbers can be drawn in any order, but once rearranged, should form a consecutive array).
Answers
The probability of getting 5 consecutive cards of the same suit in a regular deck of cards is approximately 0.000181 or 0.0181%.
To calculate this probability, we can consider the number of favorable outcomes (getting 5 consecutive cards of the same suit) and divide it by the total number of possible outcomes (any 5-card hand).
In a deck of 52 cards, there are 9 possible sequences of 5 consecutive cards (2, 3, 4, 5, 6 to 10, J, Q, K, A) for each suit. Since there are 4 suits, the total number of favorable outcomes is 36 (9 sequences × 4 suits).
The total number of possible 5-card hands is given by the combination formula, C(52, 5), which is equal to 2,598,960.
Therefore, the probability of getting 5 consecutive cards of the same suit is 36/2,598,960 ≈ 0.000181, or approximately 0.0181%.
In summary, the probability of obtaining 5 consecutive cards of the same suit in a game of poker is very low, with an approximate probability of 0.0181%. This means that it is quite rare to have a hand with such a specific arrangement of cards.
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Which curves on the accompanying graphs may represent the temperature and ph profiles of an enzyme secreted by a bacterium that lives in a mildly alkaline hot springs at temperatures of 70°c or higher?.
Answers
The temperature and pH profiles of an enzyme secreted by a bacterium that lives in a mildly alkaline hot spring at temperatures of 70°C or higher can be represented by curves B and D.B and D curves on the graph can represent the temperature and pH profiles of an enzyme secreted by a bacterium that lives in a mildly alkaline hot spring at temperatures of 70°C or higher.
There are two graphs given for the question, which are described below.
Graph 1: This graph shows the temperature and pH of an enzyme's activity.
Temperature is plotted on the y-axis and pH on the x-axis.
The graph has four curves.
Curve A represents an enzyme secreted by a bacterium that lives in the intestines of a cow.
Curve B represents an enzyme secreted by a bacterium that lives in a mildly alkaline hot spring at temperatures of 70°C or higher.
Curve C represents an enzyme secreted by a bacterium that lives in the acidic contents of the human stomach.
Curve D represents an enzyme secreted by a bacterium that lives in the alkaline environment of a deep-sea hydrothermal vent at temperatures of 100°C or higher.
Graph 2: This graph shows the effects of temperature on the activity of three different enzymes. Enzyme A is from a bacterium that lives in the soil at temperatures of 20°C or lower.
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Hunter kicked a soccer ball. The ball went 332 yards in 38 second. At that rate, how far would the ball go in 1 second?
Answers
The distance that he would the ball go in 1 second will be 8.8 yards.
How to calculate the rate?From the information, Hunter kicked a soccer ball. The ball went 332 yards in 38 second.
Therefore, at that rate, the distance that he would the ball go in 1 second will be:
= Total distance / Time
= 332 / 38
= 8.8 yards.
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Please tell me the answer fast!
The question is: Fill in the box by choosing the correct option for the given factor tree of 120
Answers
Answer:
12,2,3
Step-by-step explanation:
Answer:
12,2,3 because 10×12=120 and 3×2=6
State the image of the point (3,7) after a reflection in the y-axis:(Blank 1:Blank 2:
Answers
In order to reflect a point over the y-axis, we just need to change the signal of its x-coordinate.
So for the point (3, 7), the reflection over the y-axis would be (-3, 7).
Therefore we have:
Blank 1: -3
Blank 2: 7
Let Li = {w ∈ {a, b}∗|w ends in ab^i}
(1) (2 points) Give the state diagram of an NFA that recognizes L3 (namely, when i = 3).
(2) (2 points) Give the 5-tuple description of your NFA from part (1).
3) (2 points) Give the 5-tuple description of an NFA that recognizes Li
L
i
={w∈{a,b}
∗
∣w
Answers
The NFA for language L3, defined as Li = {w ∈ {a, b}* | w ends in ab^3}, has the state diagram with states q0, q1, q2, and q3, and the 5-tuple description (Q, Σ, δ, q0, F) where Q = {q0, q1, q2, q3}, Σ = {a, b}, δ specifies the transitions, q0 is the initial state, and F = {q3} is the set of accepting states.
To create an NFA that recognizes the language Li, where i is a variable, we need to specify the language and construct a corresponding state diagram. Since the specific requirements and patterns of Li are not provided, let's assume some general characteristics of the language and proceed with the solution.
Assumption:
Li = {w ∈ {a, b}* | w ends in ab^i}
(1) State Diagram of an NFA that recognizes L3:
Based on the assumption, let's consider L3, where i = 3.
State Diagram:
The state diagram for L3 will have states representing different possible endings of the input string. We need to construct the diagram with transitions for both "a" and "b" inputs. Here is a textual representation of the state diagram for L3:
--a--> [q0] --b--> [q1] --b--> [q2] --b--> [q3]
| |
|---a, b----------|
In this diagram:
- q0 is the initial state.
- q3 is the accepting state since the strings in L3 end in "ab^3".
- Each state has transitions for both "a" and "b" inputs.
(2) 5-tuple Description of the NFA for L3:
The 5-tuple description of the NFA for L3 is as follows:
- Q: Set of states {q0, q1, q2, q3}
- Σ: Alphabet {a, b}
- δ: Transition function δ(q, x) = {set of states reachable from q with input x}
- δ(q0, a) = {q0}
- δ(q0, b) = {q1}
- δ(q1, a) = {q0}
- δ(q1, b) = {q2}
- δ(q2, a) = {q0}
- δ(q2, b) = {q3}
- δ(q3, a) = {}
- δ(q3, b) = {}
- q0: Initial state q0
- F: Set of accepting states {q3}
Please note that this 5-tuple description corresponds specifically to the NFA for L3, where i = 3.
To provide a more accurate and detailed solution, specific information about the value of i and the language Li is required. The approach will vary depending on the requirements and patterns of the given language.
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What is the area of parallelogram ABCD?
7
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5
13 square units
14 square units
15 square units
16 square units
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Mark this and return
Answers
Answer:
Uh, there's a format error, can you add a photo?
Step-by-step explanation:
The area of the parallelogram is given by the distance formula and the value of A = 13 square units
What is the distance between two points?Let the two points be A ( x₁ , y₁ ) and B ( x₂ , y₂ )
The distance from A to B is the same as the distance from B to A
Distance between two points is the length of the line segment that connects the two points in a plane.
The formula to find the distance between the two points is usually given by D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)
This formula is used to find the distance between any two points on a coordinate plane or x-y plane
Given data ,
Let the parallelogram be ABCD
Let the height of the parallelogram be AD
And , the base of the parallelogram be DC
where the area A = AD x DC
Now , the coordinates of A = A ( 3 , 6 )
The coordinates of D = ( 2 , 2 )
The coordinates of C = C ( 5 , 1 )
The distance between the two points is usually given by D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)
So , the distance of AD = √ ( ( 3 - 2 )² + ( 6 - 2 )² )
The distance of AD = height of parallelogram AD = √17
And , the distance of DC = √ ( ( 2 - 5 )² + ( 2 - 1 )² )
So , the distance of DC = width of parallelogram DC = √10
And , area of parallelogram A = AD x DC = √17 x √10 = √170 units²
Hence , the area of parallelogram is A = 13 square units
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The complete question is attached below :
What is the area of parallelogram ABCD?
13 square units
14 square units
15 square units
16 square units
The ray XZ is the angle bisector of ∠WXY and m∠WXY = 160°. Enter m∠WXZ.
The measure of ∠WXZ is
Answers
Answer: 80°
Step-by-step explanation: divide 160° in half
okok pls help it’s important the question is “Write a multiplication equation and a division equation to represent each question, statement, or diagram.” “ There are 6 thirds in 2.”
Answers
The multiplication and division of the numbers 2 and 2 will be 4 and 1, respectively.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The numbers are given below.
6/3 and 2
2 and 2
Then the multiplication of the numbers 2 and 2 is given as,
⇒ 2 x 2
⇒ 4
Then the division of the numbers 2 and 2 is given as,
⇒ 2 / 2
⇒ 1
The multiplication and division of the numbers 2 and 2 will be 4 and 1, respectively.
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You have 80 pieces of fabric to make a wall hanging. Each piece of fabric is a square with a side length of 5 inches. You use as many pieces of fabric as possible to create a square wall hanging. What is the area of the wall hanging? in.2 How many pieces of fabric are left over? How many more pieces of fabric would you need to increase the size of the wall hanging?
(PLEASE HELP! I'VE BEEN STUCK FOR THE PAST FEW HOURS!)
Answers
The area of the wall hanging is solved to be 1600 square inches
The number of left over pieces is 16 pieces
One piece of fabric is required to increase the size
How to find the area of the wall hangingGiven data
80 pieces of fabric
Each piece of fabric is a square with a side length of 5 inches
If each piece has length of 5 inches area of each piece is 25 square inches.
Hence total area available
= 80 * 25
= 2000
approximate length of the wall hanging
= √2000
= 44.
The length should be in terms of 5 to correspond with the length of the fabric. Hence we take 40
area formed
= 40 * 40
= 1600
The area of the wall hanging is 1600 square inches
left over pieces
left over area = 2000 - 1600
left over area = 400
left over pieces = 400/25
left over pieces = 16 pieces
number of pieces to increase the length
In simple terms the question is asking the highest perfect squarer before 80 highest this is 64, (8 * 8) increasing it will be 81 (9 * 9) which will be 45
45 * 45 = 2025.
we have 2000 square inches already
2025 - 2000 = 25 square inches
and one piece of fabric is 25 square inches hence one piece is required to increase the size
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verify the identity tan^2 (x) * csc^2( x)= 1/cos^2(x)
Answers
We have
\(\tan ^2(x)csc^2(x)=\frac{1}{\cos ^2(x)}\)\(\tan (x)=\frac{\sin(x)}{\cos(x)}\)\(\csc (x)=\frac{1}{\sin (x)}\)we substitute the equalities given above
\(\frac{\sin^2(x)}{\cos^2(x)}\cdot\frac{1^2}{\sin^2(x)}=\frac{\sin^2(x)}{\sin^2(x)\cos^2(x)}=\frac{1}{\cos ^2(x)}\)as we can see we verify the identity because we obtain the same result
Write the mathematical model and use Solver to answer the following question:
A farm co-op has 6,000 acres available to plant with corn and soybeans. Each acre of corn requires 9 gallons of fertilizer/herbicide and 0.75 hour of labor to harvest. Each acre of soybeans requires 3 gallons of fertilizer/herbicide and 1hour of labor to harvest. The co-op has available at most 40,501 gallons of fertilizer/herbicide and at most 5,250 hours of labor for harvesting. Find the maximum profit if the profits per acre are $75 for corn and $40 for soybeans. Round your answer to the nearest cent if necessary.
a. $210,000.00
b. $393,750.00
c. $371,255.83
d. $180,004.44
e. $318,744.17
Answers
The maximum profit if the profits per acre are $75 for corn and $40 for soybeans is $371,255.83. Therefore, the correct option is c.
To find the maximum profit from planting corn and soybeans, we can use linear programming. Let's first define the variables and write the constraints.
Let x be the number of acres of corn and y be the number of acres of soybeans.
1. Total acre constraint: x + y ≤ 6,000
2. Fertilizer/herbicide constraint: 9x + 3y ≤ 40,501
3. Labor constraint: 0.75x + y ≤ 5,250
The objective function to maximize is the profit function: P(x,y) = 75x + 40y
Now, we will use the Solver to find the maximum profit:
Step 1: Set up a spreadsheet with the constraints and the objective function.
Step 2: Go to the Data tab and click on Solver. If Solver is not available, you may need to add it in Excel Options.
Step 3: Set the objective function by selecting the cell with the profit function.
Step 4: Choose "Max" for the objective.
Step 5: Add the constraints by selecting the corresponding cells.
Step 6: Click on "Solve" and the Solver will find the optimal values for x and y.
After using Solver, we find that the optimal values are x = 4,363.89 (corn) and y = 1,636.11 (soybeans), which yields a maximum profit of $371,255.83. Therefore, the correct answer is c: $371,255.83
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Solid metal support poles in the form of right cylinders are made out of metal with a density of 6.1 g/cm 3 3 . This metal can be purchased for $0.62 per kilogram. Calculate the cost of a utility pole with a diameter of 41 cm and a height of 780 cm. Round your answer to the nearest cent.
Answers
The cost of a utility for a pole with a diameter of 41 cm and a height of 780 cm is $3894697.41
Density formula
The density formula is given by:
Density = mass/volume
The volume of the cylinder = π * radius² * height
Radius = diameter / 2 = 41/2 = 20.5, height = 780 cm. Hence:
Volume = π * 20.5² * 780 = 1029798 cm³
Density = mass/volume
6.1 = mass/1029798
mass = 6281770 kg
Cost = 6281770 kg * $0.62 per kilogram = $3894697.41
The cost of a utility for a pole with a diameter of 41 cm and a height of 780 cm is $3894697.41
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help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer: 19.6 feet
Step-by-step explanation:
Using the Pythagorean theorem,
\(x^2 +(x+6)^2 =48^2\\\\x^2 +x^2 +12x+36=2304\\\\2x^2 +12x-2268=0\\\\x^2 +6x-1134=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(1)(-1134)}}{2(1)}\\\\x \approx 30.8 \text{ } (x > 0)\\\\\implies x+(x+6) \approx 67.6\\\\\therefore (x+(x+6))-48 \approx 19.6\)
Desiree went bowling. It was $4 to rent the shoes and $3.25 per game. If she spent a total of $30 how many games did she bowl?
Answers
Answer:
3.25x + 4 = 30
3.25x = 30-4
3.25x = 26
x= 26/3.25
x = 8 Games
She played 8 games
Write an algebraic expression for the word phrase.
4 less than the product of y and 12
a) 12y + 4
b) 4 − 12y
c) 12y − 4
d) 12y − 4y
Answers
Answer:
c
Step-by-step explanation:
the product (multiply ) of y and 12 is 12y and 4 less than 12y is
12y - 4
Answer:
12y - 4.
Step-by-step explanation:
The product is 12y and we subtract 4 from it.
A student reads a list of several measurements.
1. the amount of dust given off by exploding stars.
2. the rate at which galaxies are moving away from Earth.
3. the rate at which the light emitted by a star switches between red and blue wavelengths.
4. the amount of hydrogen present in stars.
Which measurements are used as evidence of the age of the universe?
A. 1 and 2
B. 2 and 3
C. 1, 2 and 3
D. 1, 2, and 4
Answers
The measurements used as evidence of the age of the universe are B. 2 and 3 (the rate at which galaxies are moving away from Earth and the rate at which the light emitted by a star switches between red and blue wavelengths).
The rate at which galaxies are moving away from Earth, known as the Hubble's law, provides evidence for the expansion of the universe. The observation that galaxies are moving away from each other suggests that the universe is expanding, and by measuring the rate at which galaxies are receding, scientists can estimate the age of the universe.
The rate at which the light emitted by a star switches between red and blue wavelengths, known as the redshift and blueshift, is another piece of evidence for the expansion of the universe. This phenomenon, called the Doppler effect, occurs due to the movement of celestial objects away from us. By studying the redshift or blueshift of starlight, scientists can determine the speed at which stars and galaxies are moving and thus infer information about the age of the universe.
Therefore, the measurements of the rate at which galaxies are moving away from Earth (2) and the rate at which the light emitted by a star switches between red and blue wavelengths (3) are used as evidence to estimate the age of the universe.
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Can someone help me …………….
Answers
A: (0, 10)
B: (0, 75)
Domain = Highest and lowest x value
Range = Highest and lowest y value
Hope this helps
Look at this graph:
What is the y-intercept?
Answers
Answer:
according to me it's 5
hopefully I am right
Answer:
The y intercept is 5
Step-by-step explanation:
The y intercept is where it crosses the y axis
The graph crosses at y =5
The y intercept is 5
Classify the following numbers as Natural,Whole numbers,Irrational,non real and rational number
1.√111
2.0
3. Π
4. 71
5. √-81
Answers
√111: Irrational number
0: Whole number, Rational number
Π (Pi): Irrational number
71: Natural number, Whole number, Rational number
√-81: Non-real number
√111: Irrational number - The square root of 111 is an irrational number because it cannot be expressed as a fraction or a terminating or repeating decimal.
0: Whole number, Rational number - Zero is a whole number because it is a non-negative integer. It is also a rational number because it can be expressed as the ratio 0/1.
Π (Pi): Irrational number - Pi is an irrational number because it is a non-repeating, non-terminating decimal. It cannot be expressed as a fraction.
71: Natural number, Whole number, Rational number - 71 is a natural number because it is a positive integer. It is also a whole number and a rational number because it can be expressed as the ratio 71/1.
√-81: Non-real number - The square root of -81 is a non-real number because it involves the square root of a negative number. It cannot be expressed as a real number.
For more questions on Rational number
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