I am dilating a line AB. A ( 4, 6) and B ( -10, 8). Scale factor is 2. what are the new points?
Answer:4,6 will be 8,12. -10, 8 will be -20, 16
Step-by-step explanation:
Thirty-one students are making structures with blocks. There are 994 blocks shared equally among all 31 students.
How many blocks are left over after all 994 blocks are shared equally?
Answer:
i think the answer is 34
Step-by-step explanation:
Nola hiked down a trail at a steady rate for 10 minutes. Her change in elevation was −190 feet. Then she continued to hike down for another 20 minutes at a different rate. Her change in elevation for this part of the hike was −200 feet. During which portion of the hike was her rate of change in elevation greater? Complete the explanation. Her rate was faster in the (Select: First, Second) part of the hike, because her heart rate was ____ ft/min in the first part and ___ ft/min in the second part.
Answer:
Her rate was faster in the FIRST because her rate was - 19 ft/ minutes in the FIRST PART and - 10ft/minute in the SECOND part
Step-by-step explanation:
Portion 1
Time taken to hike down = 10 minutes
Change in elevation = - 190 ft
Portion 2
Hiked down for further 20 minutes
Change in elevation = - 200ft
During which portion of the hike was her rate of change in elevation greater?
Rate of change in elevation :
Change in elevation / time
Portion 1:
Rate of change in elevation :
Change in elevation / time
- 190 ft / 10 minutes = - 19 ft/minutes
Portion 2:
Rate of change in elevation :
Change in elevation / time
- 200 ft / 20 minutes = - 10 ft/minutes
Her rate was faster in the FIRST because her rate was 19 ft/ minutes in the FIRST PART and 10ft/minute in the SECOND part
A 1/2 kilogram of flour is packed equally into 10 bags How much flour is in each bag?
Answer:
1/20 kilogram of flour is in each bag.
Step-by-step explanation:
(1/2)/10=(1/2)(1/10)=1/20
5 points
Allie made 2/3 of a liter of hot chocolate. Each mug holds 1/3 of a liter.
How many mugs will Allie be able to fill?
A. 9
B.3
C.6
O D.2
Answer:
D because 2/3 equals 2 1/3 mugs
The area of this trapezium is 120cm2.
Work out.
5cm
10cm
8cm
x
A trapezium, also known as a trapezoid in some regions, is a quadrilateral with two parallel sides and two non-parallel sides. The missing side length of the trapezium is 10 cm.
The formula for the area of a trapezium is given by:
Area = (1/2) * (a + b) * h
where a and b are the lengths of the parallel sides of the trapezium and h is the height.
In this case, we are given that the area of the trapezium is 120 cm². Let's substitute this into the formula:
120 = (1/2) * (5 + 10) * h
To simplify, we can add the lengths of the parallel sides:
120 = (1/2) * 15 * h
Next, we can simplify further by multiplying:
120 = 7.5 * h
To isolate h, we divide both sides of the equation by 7.5:
120 / 7.5 = h
This gives us the height of the trapezium. Solving the equation, we find:
h = 16
So, the height of the trapezium is 16 cm.
Now, let's substitute the given values and the height into the formula to find the missing side length:
120 = (1/2) * (5 + x) * 16
We can simplify this equation:
120 = (1/2) * (5 + x) * 16
120 = 8 * (5 + x)
120 = 40 + 8x
8x = 120 - 40
8x = 80
x = 80 / 8
x = 10
Therefore, the missing side length of the trapezium is 10 cm.
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if x=3,5,7 and y=1,4,7,9 then find x-y
ans is (3,5)
Answer:
Answer:(3, 5) where the result of the subtraction is 2 and 0, respectively.
Step-by-step explanation:
To find x - y, we need to subtract each element of y from each element of x. That is:
x - y = (3 - 1, 3 - 4, 3 - 7, 3 - 9, 5 - 1, 5 - 4, 5 - 7, 5 - 9, 7 - 1, 7 - 4, 7 - 7, 7 - 9)
Simplifying this expression, we get:
x - y = (2, -1, -4, -6, 4, 1, -2, -4, 6, 3, 0, -2)
So the answer is the set of values (3, 5) where the result of the subtraction is 2 and 0, respectively.
the restaurant is 7.5 feet high and 22 feet long. find the volume of a cone restaurant
Answer:
950.331ft^3
Step-by-step explanation:
I hope this is correct...
I believe 22ft would be the diameter of thr circle so to find the radius you divide it by 2 and follow the formula like so.
Please help! ............................................
Answer:
B. 20
Step-by-step explanation:
60 = 2x + 20
40 = 2x
40/2 = 2x/2
20 = x
Hope this helps :)
Answer:
B. 20
Step-by-step explanation:
Match the inequality to its graph.
------------------------------------------------
Here are the line graphs below.
-------------------------------------------------
A. A number line is labeled from negative 5 to 1. There is an open circle on negative 1 and the line is shaded to the left.
B. A number line is labeled from negative 3 to 4. There is a closed circle on 3 and the line is shaded to the left.
C. A number line is labeled from negative 4 to 3. There is a closed circle on 1 and the line is shaded to the left.
D. A number line is labeled from negative 6 to 1. There is an open circle on negative 3 and the line is shaded to the left.
(Here is the inequality) 4y + 3 less than or equal to y + 6
For anyone who can help explain this to me with the result and a step by step process, I WILL MARK BRAINIEST! Thanks! Need this ASAP!
PLEASE HELP!!!!!!! Line M is represented by the following equation: x + y = −1 What is most likely the equation for line P so the set of equations has infinitely many solutions? (4 points) Question 5 options: 1) 2x + 2y = 2 2) 2x + 2y = 4 3) 2x + 2y = −2 4) x − y = 1
The equation for line P such that the system has an infinite number of solutions is given as follows:
3) 2x + 2y = -2.
How to obtain the equation?The first equation for the system of equations is given as follows:
x + y = -1.
A system of equations has an infinite number of solutions when the two equations are multiples.
Multiplying the equation by 2, we have that:
2x + 2y = -2.
Meaning that equation 3 is correct.
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in a recent study consisting of 50 students, 30 play soccer and the other 20 play hockey. the research shows that soccer players have a 10% chance
In a study of 50 students, 30 were found to play soccer while the remaining 20 played hockey. The research indicates that soccer players have a 10% chance.
The study involving 50 students revealed that soccer is the preferred sport for the majority, with 30 students playing it. On the other hand, 20 students were identified as hockey players. The research findings indicate that soccer players have a 10% chance. This means that out of the 30 soccer players in the study, 10% of them are likely to experience a certain outcome or event. However, the specific event or outcome related to the 10% chance is not mentioned in the provided information.
It's important to note that without further context, it is unclear what the 10% chance refers to. It could be related to various aspects, such as scoring a goal, winning a match, or sustaining an injury. Additional details would be required to accurately interpret the significance of the 10% chance in the context of soccer players in the study.
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1424 and 2243 are numbers in base 5. add these numbers as it relates to the base 5 system
In the "ones" place,
4₅ + 3₅ = (7)₅ = (5 + 2)₅ = 10₅ + 2₅ = 12₅
(a number in base 5 can only consist of the digits 0-4; anything larger, which I wrap in parentheses, needs to be split up further)
In the "tens" place, we carry over the 1 from the previous sum:
2₅ + 4₅ + 1₅ = (7)₅ = 12₅
In the "hundreds" place,
4₅ + 2₅ + 1₅ = (7)₅ = 12₅
In the "thousands" place,
1₅ + 2₅ + 1₅ = 4₅
So, we have
1424₅ + 2243₅ = 4222₅
WA
Line segment WX is the radius of circle X, and line
segment ZY is the radius of circle Y. Points W, X, C, Y, and
Z are all on line segment WZ.
What is the area of circle C, which passes though points W
and Z?
X
O 81 T units?
10
O 164 TT units?
O 324 units?
O 1296 units
Mark this and retum
Save and Exit
Next
Submit
ch
Answer:
I think the answer is C. 324 but i'm not sure. lemme know if i'm wrong and what the correct answer is
Step-by-step explanation:
The area of the given Circle C is; 324π
What is the area of the circle?
From the attached diagram, we see that;
WX is the radius of circle X and is equal to 8 units
Similarly, ZY is radius of circle Y and is equal to 10 units.
Thus, diameter of circle X = 8 * 2 = 16 units
Diameter of circle Y = 10 * 2 = 20 units
Thus;
Diameter of circle C = 20 + 16 = 36 units
Area of Circle C = π * 36²/4
Area of Circle C = 324π
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For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
13
11
Answer:
use a2+b2=c2 so
Step-by-step explanation:
11(squared)+b(squared)=13(squared)
=121+b2=169
-121. -121
b2= 48
square root 48
Side B= 6.928
and then just round 6.928
hope this helped
Using the Pythagorean Theorem, it is found that the side length is of x = 6.93.
What is the Pythagorean Theorem?The Pythagorean Theorem relates the length of the legs \(l_1\) and \(l_2\) of a right triangle with the length of the hypotenuse h, according to the following equation:
\(h^2 = l_1^2 + l_2^2\)
In this problem, we have that:
\(h = 13, l_1 = 11, l_2 = x\)
Hence, applying the Theorem:
\(h^2 = l_1^2 + l_2^2\)
\(13^2 = 11^2 + x^2\)
\(x^2 = 169 - 121\)
\(x = \sqrt{48}\)
x = 6.93.
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Use the formula pH=log(1/[H^+]) to write an expression for the concentration of hydrogen ions in a liter of a sports drink that has a pH of 2. 4. What is the concentration of hydrogen ions?
The concentration of hydrogen ions in a liter of the sports drink is approximately 3.98 x 10^(-3) moles per liter.
The pH of a substance is a measure of its acidity or basicity and is defined as the negative logarithm (base 10) of the hydrogen ion concentration [H+]. The formula for pH is given as pH = -log[H+].
To find the concentration of hydrogen ions in a liter of a sports drink that has a pH of 2.4, we can use the formula pH = -log[H+]. Rearranging this formula, we get [H+] = 10^(-pH).
Substituting the given value of pH into this expression, we get [H+] = 10^(-2.4).
It's worth noting that the hydrogen ion concentration is related to the acidity of a solution; the higher the hydrogen ion concentration, the more acidic the solution. The pH scale ranges from 0 (most acidic) to 14 (most basic), with a pH of 7 being neutral. The sports drink in question has a relatively low pH, indicating that it is quite acidic.
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Which diagram represents the postulate that states exactly one line exists between any two points?
In the realm of geometry, lines and points are foundational, undefined terms. The postulate asserting the existence of exactly one line between any two points is best represented by option (c), where a straight line passes through points A and B, affirming the fundamental concept that two points uniquely determine a line.
The correct answer is option C.
In geometry, the foundational concepts of lines and points are considered undefined terms because they are fundamental and do not require further explanation or definition. These terms serve as the building blocks for developing geometric principles and theorems.
One crucial postulate in geometry states that "Exactly one line exists between any two points." This postulate essentially means that when you have two distinct points, there is one and only one line that can be drawn through those points.
To illustrate this postulate, we can examine the given options. The diagram that best represents this postulate is option (c), where there is a straight line passing through points A and B. This choice aligns with the postulate's assertion that a single line must exist between any two points.
Therefore, among the provided options, only option (c) accurately depicts the postulate. It visually reinforces the idea that when you have two distinct points, they uniquely determine a single straight line passing through them.
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The mass of a bar of chocolate is 1800g
The density of the chocolate is 9g/cm
Find the mass of the ball in kg
The mass of the bar of chocolate in kilogram, kg is calculated to be 1.8kg
How to find the mass of the bar in kgGiven data
mass of a bar of chocolate is 1800g
density of the chocolate is 9g/cm
density is defined the ratio of mass and volume. therefore the density of the chocolate will be the ratio of the mass of the chocolate bar to the volume of the chocolate. this represented mathematically as:
The mass of the bar of chocolate is given in grams as 1800g
converting the unit to kg is done as follows
if 1kg is equal to 1000g, then how many kg is 1800g
= 1800 / 1000
= 1.8 kg
hence the mass of the chocolate bar in kg is 1.8 kg
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Elise has $15 to spend on a paddle boat ride. She uses this inequality to determine x, the number of hours she can afford to rent the paddle boat. 1.25 +6.50
The number of hours she can afford to rent the paddle boat is x ≤ 6.8. Option D
How to solve for the number of hours that the boat can be rented outwe have the equation in the inequality as
1.25x + 6.50 ≤ 15
we would have to solve for x
hence we would take the like terms first
1.25x ≤ 15 - 6.50
then we would have
1.25x ≤ 8.5
Next we have to divide through by 1.25
1.25x / 1.25 ≤ 8.5 / 1.25
x ≤ 6.8
Hence the solution to the inequality is x ≤ 6.8. Elise can afford to rent the paddle boat for x ≤ 6.8
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Elise has $15 to spend on a paddle boat ride she uses this inequality to determine x the number of hours she can afford to rent the paddle boat
1.25x + 6.50 ≤ 15
What is the solution to the inequality?
x ≥ 17.2
x ≥ 6.8
x ≤ 17.2
x ≤ 6.8
Answer:
x ≤ 6.8
Step-by-step explanation:
Orange paint shade is prepared by mixing 2 ounces of yellow dye with 3 gallons of red paint.
How much yellow dye do you need for 6 gallons of red paint? Answer:
How much red paint do you need for 6 ounces of yellow dye? Answer
A rectangular aquarium fish tank is 10.2 meters long, 5.8 meters wide, and 3.5 meters deep. What is the volume of the fish tank if the top 1/3 is just air
The volume of the water in the fish tank is 135.27 cubic meters if the top 1/3 of the tank is just air.
To find the volume of the fish tank containing water, we need to find the volume of the fish tank and then subtract the volume that is occupied by the air i.e 1/3 of the volume of the tank.
So, the volume of the fish tank is :
=length x width x depth of the tank
=10.2 meters x 5.8 meters x 3.5 meters
= 203.94 cubic meters
Now we need to find the volume of the air that is occupied by the fish tank which is :
=1/3x the volume of the fish tank
=1/3x203.94 cubic meters
=68.67 cubic meters
The volume of the fish tank containing just water is:
=volume of the fish tank - the volume of the air occupied
= 203.94 cubic meters - 68.67 cubic meters
=135.27 cubic meters
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"Sonia had band practice 2 _1/3 hours on Saturday and 1_3/4 hours on Monday. How many total
hours did she practice those two days? *
Answer:
3_5/6 hours
Step-by-step explanation:
2_ 1/3 = 2_ 4/12
1_3/4 = 1_6/12
2_4/12 + 1_6/12 = 3_10/12
3_10/12 = 3_5/6
is the relationship linear exponential or neither
Plugging the values into a table on desmos, it clearly follows an exponential equation as shown by the equation of best fit. Therefore, the relationship is exponential.
A roast beef sandwich costs $6.75. A customer buys multiple roast beef sandwiches. Write an equation that represents the
situation. Use x to represent the number of roast beef sandwiches. Then determine how many sandwiches the customer buys.
Amount Used for Payment $50
Change Received
$16.25
An equation that represents this situation is
The customer buys sandwiches.what is an equation that represents this situation? How many sandwiches did the customer buy?
The equation that represent the situation is 16.25 = 50 - 6.75x.
The number of sandwich bought by the customer is 5.
How to represent a situation with an equation?A roast beef sandwich costs $6.75. A customer buys multiple roast beef sandwiches. Let x represent the number of roast beef sandwiches.
Then we will find the how many sandwiches the customer buys when the amount Used for Payment is $50 and change received is $16.25.
Therefore, using equation,
16.25 = 50 - 6.75x
where
x = the number of roast beef sandwichesTherefore, let's find the number of sandwich bought using the equation.
16.25 = 50 - 6.75x
16.25 - 50 = - 6.75x
-33.75 = -6.75x
divide both sides by -6.75
x = -33.75 / -6.75
x = 5
Hence,
number of roasted beef sandwich bought = 5
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A farm stand sells oranges in 3-lb bags for $3.75. What equation represents the cost, c, for p pounds of oranges?
A) c = 1.25p
B) p = 1.25c
C) c = 3.75p
D) p = 3.75c
help pls
So I was ordering me food that cost $16.13. And I have $15 and 4 quarters, 1 dime and 5 pennies. How can I make it work? Can I use the extra dollar with the 4 quarters so that I have $16?
Answer:
Technically, it already works because you have $16.15
Step-by-step explanation:
There are 400 fish in a large tank. Model, then write an expression to find thenumber of fish in the tank if the number of fish increases by 23%.
Let x be the total number of fish in the tank.
We know that at the beggining we had 400 fish and that then the number increased by 23%, this means that the total number of fish are:
\(\begin{gathered} x=400+400\cdot0.23 \\ x=400(1+0.23) \\ x=400(1.23) \end{gathered}\)Therefore the nynumber of fish at the end is:
\(x=400(1.23)\)Find the slope of the line that passes through the points (2, 5) and (-7, -4).
Answer:
1
Step-by-step explanation:
because yes nsnsnsnsnsnsnnsns. nsnsnd
The total consumption of fruit juice in a particular country in 2006 was about 1.92 billion gallons. The population of that country in 2006 was 500 million. What was the average number of gallons of fruit juice consumed per person in the country in 2006? Using the per person amount from this problem, about how many gallons would your class consume? pls help
The average quantity of juice that is consumed per person in this country is given as 3.84
How to solve for the averageWe have the following data with which to answer this question
The consumption of juice = 1.92 billion
The population of the country = 500 million
The question wants us to calculate the amount of drink that the persons would consume on average in this nation.
we have average = quantity consumed / total number of persons
This would give us
average = 1.92 billion / 500 million
= 1, 920, 000, 000 / 500, 000 ,000
= 3.84
Hence the amount of juice that is consumed per person in this country is given as 3.84
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In two or more complete sentences, describe the transformation(s) that take place on the parent function, f(x) = log(x), to achieve the graph of g(x) = log(-2x-4) + 1.
Using translation concepts, it is found that the parent function was:
Reflected over the x-axis.Horizontally compressed by a factor of 2.Shifted right 4 units.Shifted up 1 unit.The parent function is:
\(f(x) = \log{x}\)
The first transformation is:
\(\log{x} \rightarrow \log{-x}\)
Which means that it was reflected over the x-axis.Then, \(\log{-x} \rightarrow \log{-2x}\), which means that it was horizontally compressed by a factor of 2.
Then, \(\log{-2x} \rightarrow \log{-2x - 4}\), which means that it was shifted right 4 units.
Finally, 1 was added to the function, which means that it was shifted up 1 unit.
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