800 miles is going to be the distance that separates the two aircraft. The distance between the two airplanes will be 1,300 kilometers at the very least.
What is the distance?It is important to keep in mind that the two aircraft's combined speed will be equal to the sum of their separate speeds when calculating their overall speed. In addition, the pilots of the two aircraft have one hour to find each other.
According to the information that was provided, the distance that separates the aircraft after they have flown for forty-five minutes is two hundred miles. As a result, the following will constitute the remaining distance:
= 1 hour - 45 minutes = 15 minutes.
When this occurs, the distance between the planes will be as follows:
= 200/15 × 60
= 200 × 4
= 800 miles
As a result, there will be a gap of 1300 kilometers between the two aircraft.
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A data set includes the following numbers: eighteen over 5, two and four fifths, 97%, and 1.74.
Part A: What is the order of the numbers from least to greatest? Write your answer using the numbers in their original form.
Part B: Did you use estimation or rewrite the numbers in equivalent forms? Please explain your answer.
Solve for x: -3x-6= -7x+34
Answer:
x = 10
Step-by-step explanation:
-3x - 6 = -7x + 34
+7x
4x - 6 = 34
+6
4x = 40
/4
x = 10
Answer:
x = 10
Step-by-step explanation:
-3x - 6 = -7x + 34 Add 7x to both sides
4x - 6 = 34 Add 6 to both sides
4x = 40 Divide both sides by 4
x = 10
Rewrite one fourteenth times x cubed times y plus three fourteenths times x times y squared using a common factor.
The expression which can be rewritten using a common factor is [tex]\frac{xy}{14} (x^{2} +3y)[/tex].
According to the question,
We have the following information:
One fourteenth times x cubed times y plus three fourteenths times x times y squared.
(We know that 'times' has to be replaced with multiplication.)
Now, we will change this into mathematical expression:
[tex]\frac{x^{3} y}{14} +\frac{3xy^{2} }{14}[/tex]
Now, from these two terms, the common factor can be [tex]\frac{xy}{14}[/tex].
(Common factor means that the number and the variables taken as a common factor should be able to completely divide the terms given any expression.)
Now, taking it as a common factor, we have the following expression:
[tex]\frac{xy}{14} (x^{2} +3y)[/tex]
Hence, the required expression is [tex]\frac{xy}{14} (x^{2} +3y)[/tex].
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a scientist runs an experiment involving a culture of bacteria. she notices that the mass of the bacteria in the culture increases exponentially with the mass increasing by 229% per week. what is the 1-week growth factor for the mass of the bacteria? what is the 1-day growth factor for the mass of the bacteria? by what percent does the mass of bacteria increase by each day? % if the mass of the bacteria instead increased by 453% per week, by what percent would the mass increase by
The 1-week growth factor for the mass of the bacteria is 3.29.
The 1-day growth factor for the mass of the bacteria is 1.185.
The percentage increase in the mass of bacteria is 18.5%.
The 1-day growth percent for the mass of the bacteria if the mass of the bacteria increased by 453% per week is 27.7%.
The 1-week growth factor for the mass of the bacteria is 1 + (229%*1).
The 1-week growth factor for the mass of the bacteria is 3.29.
The 1-day growth factor for the mass of the bacteria is (3.29)^(1/7).
The 1-day growth factor for the mass of the bacteria is 1.185.
The percentage increase in the mass of bacteria is 18.5%.
The new 1-week growth factor for the mass of the bacteria is 1 + (453%*1).
The new 1-week growth factor for the mass of the bacteria is 5.53.
The 1-day growth factor for the mass of the bacteria if the mass of the bacteria increased by 453% per week is (5.53)^(1/7).
The 1-day growth factor for the mass of the bacteria if the mass of the bacteria increased by 453% per week is 1.277.
The 1-day growth percent for the mass of the bacteria if the mass of the bacteria increased by 453% per week is 27.7%.
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The school play sells children's
tickets for $3 each and adult
tickets for $5 each. They sold $340
worth of tickets The total number
of tickets sold was 80 How many
aduit tickets were sold?
Taking into account the definition of a system of linear equations, the number of adult tickets sold was 50.
System of linear equationsA system of linear equations is a set of linear equations in which two or more variables are related.
In the systems of equations, the values of the unknowns must be found, with which when replacing, they must give the solution proposed in the equations.
Amount of adults tickets soldIn this case, a system of linear equations must be proposed taking into account that:
"a" is the amount of adults tickets sold."c" is the amount of childrens tickets sold.You know:
The school play sells children's tickets for $3 each and adult tickets for $5 each. They sold $340 worth of tickets.The total number of tickets sold was 80.The system of equations to be solved is
3c + 5a= 340
c + a= 80
From the several methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.
In this case, isolating the variable "c" from the second equation:
c= 80- a
Replacing this expression in the first equation:
3×(80- a) + 5a= 340
Solving:
3×80- 3a + 5a= 340
3×80- 3a + 5a= 340
240- 3a + 5a= 340
- 3a + 5a= 340- 240
2a= 100
a=100÷ 2
a= 50
Finally, 50 adult tickets were sold.
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Solve for x in the diagram below
If two angles be 10x + 5 and 15x - 30 then the value of x = 7.
How to find the value of x?Let the two angles be 10x + 5 and 15x - 30.
simplifying the above two equations, we get
10x + 5 = 15x - 30
Subtract 5 from both sides
10x + 5 - 5 = 15x - 30 - 5
Simplifying the above equations,
10x = 15x - 35
Subtract 15x from both sides of the equation
10x - 15x = 15x - 35 - 15x
Simplifying the above equation, we get
-5x = -35
Divide both sides by -5
[tex]$\frac{-5 x}{-5}=\frac{-35}{-5}[/tex]
x = 7
Therefore, the value of x = 7.
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shipping company A charges a flat fee of $7 plus $0.50 for each pound shipping company B charges a flat fee of $11 plus $0.25 for each pound
The number of pounds when company A and B have same amount is 16 pounds.
What is an equation?A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe a scenario.
In this case, shipping company A charges a flat fee of $7 plus $0.50 for each pound shipping company B charges a flat fee of $11 plus $0.25 for each pound.
Let each pound be represented by p.
Company A will be 7 + 0.50p
Company B will be 11 + 0.25p
We will equate both equations.
7 + 0.50p = 11 + 0.25p
Collect like terms
0.50p - 0.25p = 11 - 7
0.25p = 4
Divide
p = 4 / 0.25
p = 16
The number of pounds is 16 pounds.
The complete information is given below.
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shipping company A charges a flat fee of $7 plus $0.50 for each pound shipping company B charges a flat fee of $11 plus $0.25 for each pound. How many pounds will give an equal amount?
PLSS HELP I DO NOT UNDERSTAND THIS PLSSS bc
Average rate of change is calculated using the slope of the line linking the interval's ends on the graph of the function. The average rate of change, in simplest form, is -1/6.
What is meant by average rate of change?It is the average amount by which the function changed per unit throughout that time period. It is calculated using the slope of the line linking the interval's ends on the graph of the function.
The formula for calculating the gradient of a function exists expressed as:
[tex]$m=\frac{d y}{d x}=\frac{y_2-y_1}{x_2-x_1}[/tex]
Using the coordinate points from the table (6, 53) and (24, 50).
Substitute the coordinate into the expression:
[tex]$m=\frac{50-53}{24-6} \\[/tex]
[tex]$&m=\frac{-1}{6} \\[/tex]
Therefore, the average rate of change, in simplest form is -1/6.
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Hey! Could anybody help me out with this? I would like a very brief explanation leading to the answer as I already kinda understand the topic. Thanks!
Domain and Range of a Function
The domain of a function f is the set of values of the input (or independent) variable, often called x. The range is the set of values of the output (or dependent) variable, often called y, or f(x).
The function shown in the image has a shape that opens up to infinity (marked with the two arrows). This means that x can have any real value from minus infinity to plus infinity, that is, all real numbers.
Now for the range, we can see not every value of y belongs to the function. The graph decreases down to the vertex of the parabola that is located at (3,-12). This means that from y=-12 and up, the function exists, but not below this value.
Summarizing:
Domain: All real numbers
Range: y ≥ -12
yeaa pls help this is past due
Answer: When you graph part a, it has a negative slope.
Step-by-step explanation:
Eric ordered a set of red and yellow pins. He received 70 pins in all. 21 of the pins were red. What percentage of the pins were red?
Answer:
The formula for finding the percentage of something is given as: (No. of items you want to find÷Total no. of items)×100
Percentage of red pins = (21÷70)×100
= 30%
Which is not a statistical question? * 1 point how much did the corn plants grow last week? what is the height of the tallest corn plant? how much water did the corn plants get each day last month? how tall are the corn plants?
The option that is not a statistical question is D. how tall are the corn plants?
What is a statistical question?A statistical question is one that may be answered by gathering data and for which the data will vary. Questions answered with a single data point are not statistical questions since the data utilized to answer the question is not variable.
A statistical question is one that can be answered by gathering varying amounts of data. A statistical inquiry is one that yields varying responses and outcomes (data). It must be collected on more than one person and there must be room for the facts to vary.
Therefore, based on the information illustrated, the correct option is D. It was too general and not specific
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if the scale in the drawing is 1/4inch=3miles, what is the distance, in miles between Hawthorne an Doylestown?(help)
We will investigate how to use ratios to determine the actual distance between cities as per defined scale.
We are given a scale conversion ( ratio ) at which distances are scaled down:
[tex]\begin{gathered} \text{Scale : Actual} \\ \frac{3}{4}\text{ in : }3\text{ miles} \end{gathered}[/tex]We will use the given scale ratio to determine the actual distance between two citites. The scale distance between Hawthorne and Doyelstown can be read.
[tex]\text{Scale distance = 1.75 in}[/tex]Now utilize the scale conversion ratio to determine the actual distance:
[tex]\begin{gathered} \text{Scale : Actual } \\ \frac{3}{4}in\text{ : 3 miles} \\ \\ 1.75\text{ in: x} \\ ======= \\ \\ \frac{3}{4}\cdot x\text{ = 3}\cdot1.75 \\ \\ x\text{ = }\frac{3\cdot1.75\cdot4}{3} \\ \\ x\text{ = 7 miles} \end{gathered}[/tex]Therefore, the distance between Hawthorne and Doylestown is:
[tex]7\text{ miles}[/tex]
L
6
A savings account balance can be modeled by the graph of the linear function shown on the grid.
Balance (dollars)
450
400
350
300
250
200
150
100
50
y
Savings Account
0 1 2 3 4 5 6 7 8 9
Number of Deposits
X
What is the rate of change of the balance with respect to the number of deposits?
An algebraic expression known as a linear expression has terms that are either constants or variables raised to the first power. Alternatively put, none of the exponents can be greater than 1. As an illustration, while x is a variable raised to the first power, x2 is a variable raised to the second power. An illustration of a constant is 5.
Linear expression: what is it?The number of deposits will change at a 100 percent rate.
Given that, consider the image of the linear function's graph.
Currently, the graph's two points are (3, 350) and (2, 250).
Rate of change is therefore equal to (250 - 350) / (2 - 3)
= -100/-1
= 100.
The rate of change will therefore be 100 in relation to the number of deposits.
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Silvia has 20 tomato plants and 30 bean plants. She wants to put the plants in rows so that each row has the same number of tomato plants and the same number of bean plants. What is the greatest number of rows Silvia can plant?
The greatest number of rows Silvia can plant as per given number of plants and condition is equal to 10.
As given in the question,
Silvia is going to plant 20 tomato plants and 30 bean plants.
Total tomato plants = 20
Total bean plants = 30
If Silvia would like to plant, the plants in rows where each row has the same number of tomato plants and each row has the same number of bean plants.
Then, the greatest number of rows Silvia can plant is equal to greatest common factor of 20 and 30.
20 = 2×2×5
30 = 2×3×5
Greatest common factor of 20 and 30 = 2×5 = 10
Therefore, the greatest number of rows Silvia can plant as per given number of plants and condition is equal to 10.
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Frigidia is a colony in Antarctica. The colony is 1,000 square kilometers in size. Currently, 30,000 people live there. Last year, 10,000 children were born and 2,000 people immigrated. 20,000 people died and 5,000 emigrated. It is believed that the island could support up to 50 people per square kilometer.
The current growth rate is ___.
4.3 %
-4.3%
-43%
43%'
Answer:
ewan ko po pero yan yung alam ko4.3%
I hope its help
30 POINTS!!! PLEASE ANSWER ASAP!!!
Caroline is going to drive from her house to City A without stopping. Caroline plans to drive at a speed of 50 miles per hour and her house is 200 miles from City A. Make a table of values and then write an equation for D, in terms of t, representing Caroline’s distance from City A t hours after leaving her house.
Please also provide what t equals. Thank you
Answer:
0, 150, 100, 50 | T=200-50x
Step-by-step explanation:
So you start with 200 miles to go and you are going 50 miles per hour. In the first hour, 50 miles would have been completed meaning that you subtract 50 miles from the remaining distance. Same with the other hours.
To put that in an equation, You would start with 200 and for every hour(x)you would subtract 50.
sketch the graph or the inverse of the function pictured
Step 1:
Draw the table for the input x and output y.
Step 2:
From the table, we can see that the function is an exponential function.
[tex]\begin{gathered} y=x^2 \\ \text{for x = 0, y = 0} \\ \text{for x = 1, y = 1} \\ \text{for x = 2, y = 4} \\ \text{for x = 3, y = 9} \\ \text{Hence, y = x}^2 \end{gathered}[/tex]Step 2:
Find the inverse of the function.
[tex]\begin{gathered} y=x^2 \\ \text{The inverse of } \\ y=x^2 \\ is \\ y\text{ = }\pm\sqrt[]{x} \end{gathered}[/tex]Step 3:
The two graphs below, show the graph of the inverse for both negative and positive square roots of x.
[tex]\text{The blue graph above shows the graph for y = +}\sqrt[]{x}[/tex][tex]\text{The blue graph above shows the graph of y = -}\sqrt[]{x}[/tex]Final answer
The blue graph is the inverse of the red graph.
all you need is in the photo PLEASE DON'T DO STEP BY STEP BECAUSE IS SO CONFUSING PUT ONLY THE ANSWER
A) The ball in the ground is represented by h(t)=0, that is, the height is equal to 0, the reference level.
Then, we can find for which values of t we have h(t).
We equal h(t) to 0 and calculate t as:
[tex]\begin{gathered} h(t)=-16t^2+64t=0 \\ 64t-16t^2=0 \\ 16t(\frac{64}{16}-t)=0 \\ t_1=0\text{ (first solution)} \\ t_2=\frac{64}{16}=4\text{ (second solution)} \end{gathered}[/tex]The ball is in the ground at time t=0 (an instant before it is kicked) and then again at time t=4, that is the value we are looking for: the ball landed again in the ground 4 seconds after kicked.
B) The maximum height can be find in two ways:
- By finding the t-value of the vertex, that in this case will be correspond to the maximum height as this is a concave down parabola with only one extreme point.
- Deriving the function and equaling to 0 and finding t.
If we apply the first method, we have:
[tex]\begin{gathered} h(t)=-16t^2+64x=-16(x^2-4x) \\ -16(x^2-4x) \\ -16(x^2-4x+4-4) \\ -16((x-2)^2-4) \\ -16(x-2)^2+64\longrightarrow\text{Vertex:}(2,64) \end{gathered}[/tex]As the vertex is at time t=2 seconds, the maximum height happens at t=2.
Answer: A) t = 4 seconds B) t = 2 seconds
NOTE for Part B:
If we derive the expression, we get:
[tex]undefined[/tex]Is 4 a factor of 64? How do you know?
Answer: yes
Step-by-step explanation: 64 is a factor of 4 because you can multiply it by 16 to get 64. Remember if you divide and get a whole number it is a factor .
Courtney used 1650 inches of ribbon to make 300 hair bows all the same size. how many inches of ribbon does she need to make 1 bow?
Answer:
5.5 inches
Step-by-step explanation: if you divide it, u will get 5.5 inches
2.Which equations represent linear functions?a. y = -2xb. -4y = 3xc.y= 3x^2 -5d. 2x-3y =12
Of the functions listed in the options the ones that are linear are:
a. y = -2x
b. -4y = 3x
d. 2x - 3y = 12
Linear equations are equations of the first order. These equations are defined for lines in the coordinate system.
Cole is investing the relationship between the number of hours he tutors and the amount he is paid in dollars.He made the graph shown to model the relationshipChoose the incorrect statement based on the data shown in Cole’s graph.A) If Cole tutors 5 hours,he will be paid $40B) If Cole tutors 3 hours he will be paid $24C) If Cole tutors 7 hours he will be paid $64D) If Cole tutors 4 hours he will be paid $32
Verify each statement
A) If Cole tutors 5 hours,he will be paid $40------>
B) If Cole tutors 3 hours he will be paid $24
C) If Cole tutors 7 hours he will be paid $64
D) If Cole tutors 4 hours he will be paid $32
A pack of paper costs $1.75, including tax. Mr. Valentino wants to purchase packs of paper for his class and has a $25 budget. Write and solve an inequality to solve for the number of packs of paper Mr. Valentino can purchase, and describe the graph of the solution.
The inequality according to the the cost of pack of paper can be written as x ≤ 14.28 and Mr. Valentino can purchase a maximum of 14 packs of paper.
What is inequality?
A connection that compares two numbers or other mathematical expressions inequitably is known as an inequality in mathematics. The majority of the time, size comparisons between two numbers on the number line are made. The two most common notations for representing various forms of inequalities are as follows:
The symbol a < b indicates that a is smaller than b.
The symbol a > b indicates that a is bigger than b.
Let's assume he can buy x pack of paper.
Cost of x pack of paper will be equal to the x times cost of 1 pack of paper
i.e. Total cost = 1.75x
Now, Mr. Valentino has $25
Therefore,
1.75x ≤ 25
Inequality is ⇒ x ≤ 14.28
It tells us that Mr. Valentino can purchase only 14 packs of paper.
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Solve each system of the new equations by adding or subtracting
Given the equations
x + y = 5----------------------(1)
x - 3y = 3-----------------------(2)
Subtract equation (2) from (1)
x - x -3y - y = 3 - 5
-4y = -2
Divide both -4
[tex]\begin{gathered} \frac{-4y}{-4}\text{ = }\frac{-2}{-4} \\ y\text{ = }\frac{1}{2}\text{ = 0.5} \\ \end{gathered}[/tex]Substitute y = 1/2 into equation (1)
x + y = 5
[tex]\begin{gathered} x\text{ + }\frac{1}{2}\text{ =5} \\ x\text{ = 5 -}\frac{1}{2} \\ x\text{ = }\frac{10-1}{2} \\ x=\frac{9}{2}\text{ = 4.5} \\ \end{gathered}[/tex]Hence, the solution to the equations is
[tex]\begin{gathered} x\text{ = }4.5,\text{ y = 0.5} \\ Or\text{ in coordinate form, (4.5, 0.5)} \end{gathered}[/tex]Please find the coordinates and also reflect the points on the axis’s, and please demonstrate and plot the points on the graph too reflect it.
A' = (1, 3)
B' = (0, 6)
C' = (-3, 5)
D' = (-2, 2)
Each square on a grid represents 1 unit on each side. Match the numbers with the slopes of the lines.
50 POINTS + BRAINLY FOR CORRECT ANSWER!!!
Answer
Graph 1 = 1/3 slope
Graph 2 = -1/3 slope
Graph 3 = 3 slope
Graph 4 = -3 slope
I found these by counting rise over run,
or y/x to points on the line that cross the x or y axis.
The graphs that have a line that go up from left to right are positive slopes
The graphs that have a line that go down from left to right are negative slopes
Problems solved!
PLS HELP ASAP
!!!!!!
The area of the arctic ocean is about 5 millon square miles. this is about 16% of the area of which ocean pacific 64 million square miles or indian 25 million square miles
The answer of this question is Indian Ocean
It is the Arctic Ocean.
18% of the Indian Ocean's surface, and the size of 12% of the Atlantic Ocean.
These two oceans are the closest to the Arctic Ocean in terms of size. It depends on whose answers are listed in the table because they are both close to the 16% mark. The closest is the Indian.
Of the five major oceans in the globe, the Arctic Ocean is the smallest and shallowest. It is regarded as the coldest ocean and covers an area of roughly 14,060,000 km2 (5,430,000 sq mi). Despite some oceanographers referring to it as the Arctic Mediterranean Sea, the International Hydrographic Organization (IHO) classifies it as an ocean. Approximately, it has been compared to an estuary of the Atlantic Ocean. In addition, It's been analogized to roughly an estuary of the Atlantic Ocean.
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A segment is m units long. Find the distance between the midpoints of the first and last parts if the segment is divided into 5 equal parts.
The midpoints of the first and last parts are 4/5m units apart
How to determine the distance between the midpoints?The length of the line segment is given as
Length = m units
From the question, the number of partitions is given as
Partition = 5
So, the length of each partition is
Each partition = Length/Partition
This gives
Each partition = m/5
The midpoint of a partition is
Partition midpoint = m/5 x 1/2
Evaluate
Partition midpoint = m/10
The distance between the midpoints of the first and last segments is then calculated as
Distance = Length - 2 x Partition midpoint
So, we have
Distance = m - 2 x m/10
Evaluate
Distance = m - m/5
This gives
Distance = 4/5m
Hence, the distance is 4/5m units
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