Answer:
1.) The point (24,30) would not be on the line
2.) The point (12,13) would not be on the line either
4.) The slope is a fraction of 2/1
Bonus: y = (2/1)x - 2
Step-by-step explanation:
For question three, I looked at the (6,10) point on the graph and compared it with the (a,8) point. That showed me that the y coordinate always moves by 2. Then I looked at the (6,10) coordinate and the (a,8) coordinate and the (4,b) coordinate and saw that there was one x coordinate between 6 and 4 so it must be five. That means the x coordinate moves by 1.
Let me know if you need more help!
:)
1/2 x 3 answer as a fraction
What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.
The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.
The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.
Learn more about axioms here:
https://brainly.com/question/2857184
#SPJ8
This is confusing ??? Anybody who can help please help
The scaled copy (figure B) is smaller than the original (figure A) , the side lengths of figure A were multiplied with 1/2 to make figure B,
and scale factor is 1/2.
In the question ,
it is given that ,
figure A is original , and figure B is the scaled copy ,
Part(a)
From the figure shown in the question , we can see that
the top side of figure A covers 6 unit boxes ,
whereas the top side of figure B covers 3 unit boxes
So , we can say that the scaled copy (figure B) is smaller than original (figure A).
Part (b)
As it can be seen from the figure that
the top side of figure A covers 6 unit boxes ,
whereas the top side of figure B covers 3 unit boxes ,
So, the lengths of figure A is multiplied by 1/2 to make the figure B .
Part (c)
To calculate the scale factor we use the formula
scale factor = length of scaled image/corresponding length of original image
= 3/6
= 1/2
so , the scale factor is 1/2.
Therefore , the scaled copy (figure B) is smaller than the original (figure A) , the side lengths of figure A were multiplied with 1/2 to make figure B,
and scale factor is 1/2.
The given question is incomplete , the complete question is
(a) Is the scaled copy (figure B) is larger or smaller than the original(figure A) ?
(b)What were the side lengths of figure A multiplied by to make figure B?
(c) What is the scale factor from A to B .
Learn more about Scale Factor here
https://brainly.com/question/22312172
#SPJ1
Which mixed numbers have 12 as the LCD (lowest common denominator)?
2 11/12
3 1/7
5 3/4
6 4/5
8 38
MARK
The mixed numbers that have 12 as the LCD are 2 11/12 and 6 4/5. All other fractions do not have 12 as the denominator and are not equivalent.
What are mixed numbers?Mixed numbers consist of a whole number and a fractional part. To add or subtract mixed numbers, the fractions must have the same denominator (the bottom number of the fraction).
The LCD (lowest common denominator) is the smallest number that all of the denominators can be divided into evenly. In this case, the LCD is 12.
2 11/12 and 6 4/5 both have 12 as the denominator. The denominator of 11/12 can be divided by 11 and 12, so it is the same as 12/12. The denominator of 4/5 can be divided by 4 and 12, so it is the same as 48/12 (4 x 12 = 48). Therefore, both fractions have the same denominator.
The other fractions do not have 12 as their denominator. 3 1/7 can be divided by 3, 7, and 12, so it is the same as 21/12 (3 x 7 = 21). 5 3/4 can be divided by 4, 5, and 12, so it is the same as 60/12 (4 x 5 = 60). 8 38/47 can be divided by 8, 47, and 12, so it is the same as 376/12 (8 x 47 = 376). Since none of these fractions are equal to 12/12, they are not equivalent to the other two fractions.
For more questions related to fractions
https://brainly.com/question/28699958
#SPJ1
Question :
Which mixed numbers have 12 as the LCD (lowest common denominator)?
2 11/12
3 1/7
5 3/4
6 4/5
8 38/47
If the area of a circle measures 25 pi cm², what is the circumference of the circle in terms of pi?
Answer:
10π cm
Step-by-step explanation:
Given
Area of the circle=25π cm^2
Solution
πr^2=25π
r^2=25
r=√25
r=5
So circumference of the circle=2πr
=2π×5
=10π cm
So the answer is 10π cm
Subtract.
(-9r - 3) - (7r - 1)
Submit
Answer:
-16r -2
Step-by-step explanation:
plz brainliest :)
do you want an explanation?
Jenna wants to rent a mountain bike by the week. Identify the independent variables that affect the total rental cost.
Answer:
2845
Step-by-step explanation:
A blight is spreading in a banana plantation. Currently, 458 banana plants are infected. If the
disease is spreading at a rate of 8% each year, how many plants will be infected in 8 years?
If necessary, round your answer to the nearest whole number,
banana plants
The number of infected banana plants with a rate of 8% will be in 8 years is 848.
What is exponential growth or decay function?Consider the function:
y = a(1 + r)ˣ
where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
A blight is spreading on a banana plantation. Currently, 458 banana plants are infected.
If the disease is spreading at a rate of 8% each year.
Then the number of the plants that will be infected in 8 years.
Then the exponential function is given as
y = 458(1.08)ˣ
At x = 8, then we have
y = 458(1.08)⁸
y = 458 x 1.851
y = 847.73
y ≅ 848
Learn more about exponential growth and decay here:
https://brainly.com/question/2193820
#SPJ1
Which statement about function g is true?
g(x)
10
x
1
2 40
3 160
4 640
The statement about function g which is true is that: function g is exponential because g(x) changes by equal factors over equal intervals of x.
What is a slope?The slope of a line simply refers to the gradient of a line and it's typically used to describe both the ratio, direction and steepness of an equation of a straight line.
How to calculate the slope of a line?Mathematically, the slope of a straight line can be calculated by using this formula;
\(Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)
Slope = (40 - 10)/(2 - 1)
Slope = 30/1
Slope = 30
Slope = (160 - 40)/(3 - 2)
Slope = 120/1
Slope = 120.
Factor = 40/10 = 4
Factor = 160/40 = 4
Factor = 640/160 = 4.
Therefore, function g is exponential because g(x) changes by equal factors over equal intervals of x.
Read more on slope here: https://brainly.com/question/18028474
#SPJ1
Arianna is packing scented candles and candle holders into gift boxes. She has 84 candles and 48 holders, and each box must contain both items. She puts the same number of candles in each box, and the same number of holders in each box. What is the maximum number of gift boxes Arianna can pack, and how many scented candles and candle holders will each box have?
A.
4 boxes; 21 scented candles and 12 candle holders
B.
6 boxes; 14 scented candles and 8 candle holders
C.
12 boxes; 7 scented candles and 4 candle holders
D.
24 boxes; 3 scented candles and 2 candle holders
The answer is A
Hope this helps!
The slope is the rate of change for temperature.
If the temperature increases (gets hotter) as the distance from the surface increases, then the
slope is positive.
If the temperature decreases (gets colder) as the distance from the surface increases, then the
slope is negative.
4. What is the slope of your equation? (1 point)
Answer:
m=6.5
Step-by-step explanation:
thats what you type in just found it
Answer:
6.5
Step-by-step explanation:
A test to determine whether a certain antibody is present is 99.3% effective. This means that the test will accurately come back negative if the antibody is not present (in the test subject) 99.3% of the time. The probability of a test coming back positive when the antibody is not present (a false positive) is 0.007 . Suppose the test is given to six randomly selected people who do not have the antibody.
(a) What is the probability that the test comes back negative for all six people?
(b) What is the probability that the test comes back positive for at least one of the six people?
a) The probability that the test comes back negative for all six people is 95.8%,
b) The probability that the test comes back positive for at least one of the six people is 4.2%.
(a) To find the probability that the test comes back negative for all six people, we can use the fact that the test is 99.3% effective in accurately detecting the absence of the antibody.
Since the test is 99.3% effective, the probability of it coming back negative for each individual who does not have the antibody is 0.993. Therefore, the probability that the test comes back negative for all six people is calculated as follows:
P(negative for all 6) = (0.993)^6 ≈ 0.958
Therefore, the probability that the test comes back negative for all six people is approximately 0.958, or 95.8%.
(b) To find the probability that the test comes back positive for at least one of the six people, we need to consider the probability of a false positive.
The probability of a false positive, which is the probability of the test coming back positive when the antibody is not present, is given as 0.007. Therefore, the probability of the test correctly identifying the absence of the antibody is 1 - 0.007 = 0.993.
The probability that the test comes back positive for at least one person is the complement of the probability that the test comes back negative for all six people. So we can calculate it as follows:
P(positive for at least one person) = 1 - P(negative for all 6) ≈ 1 - 0.958 = 0.042
Therefore, the probability that the test comes back positive for at least one of the six people is approximately 0.042, or 4.2%.
In summary, the probability that the test comes back negative for all six people is approximately 95.8%, while the probability that the test comes back positive for at least one of the six people is approximately 4.2%.
Know more about Probability here:
https://brainly.com/question/13604758
#SPJ8
HELP PLEASE
A rolling pin is shaped like a cylinder with a diameter of 3 inches and a height of 12 inches. How many square inches of space does the rolling pin come in contact with after one complete roll?
Answer:
\(A = 127.17\) square inch
Step-by-step explanation:
Square inches of space covered by rolling pin after one complete roll is equal to the outer surface area of cylinder.
As we know,
Surface area of Cylinder \(A=2\pi rh+2\pi r^2\\\)
Substituting the given values in above equation, we get -
\(A = (2*3.14*1.5*12) + (2 * 3.14*1.5^2)\\A = 113.04 + 14.13\\A = 127.17\)
\(A = 127.17\) square inch
Answer:that’s wrong
Step-by-step explanation:
6(x - 1) = 6x - 1
what’s the answer ^^
Answer:
this is an identity which is true for all x values
Step-by-step explanation:
Perform the indicated multiplication. We get:
6x - 1 = 6x -1
and see that this is an identity which is true for all x values.
PLEASE ANSWER THIS ONE!!!
Answer:
6:5
Step-by-step explanation:
i think this is it as I square rooted it and go that
what is the least common deno minator 2/5 and 3/2
Answer: 10
Step-by-step explanation: The common denominator for these two
fractions is simply the least common multiple for the two denominators.
Since our denominators of 5 and 2 have no factors in common,
our least common denominator is 5 · 2 or 10.
5. Mrs. Hilt's yard is 48 feet long and 39 feet wide. What's the area of Mrs. Hilt's back yard?
area = lw (length times width) so if we multiply 48 and 39 it'd be equal to
1872
In certain deep parts of oceans, the pressure of sea water,P, in pounds per square foot, at a depth of d feet below the surface, is given by the following equation P=14+ 4d/9
If a scientific team uses special equipment to measure the pressure under water and find it to be 306 pounds per square foot, at what depth is the team making their measurements?
It is important to note that this equation assumes a constant density of seawater, which is not always the case in the deep ocean. In addition, the pressure at a given depth can vary depending on factors such as temperature and salinity. This equation should be used with caution and in conjunction with other measurements and data analysis techniques.
The given equation for pressure in pounds per square foot at a depth of d feet is P = 14 + 4d/9. We are given that the pressure measured by the scientific team is 306 pounds per square foot. To find the depth at which this pressure is measured, we need to solve the equation for d.
Substituting P = 306 in the equation, we get:
306 = 14 + 4d/9
Multiplying both sides by 9, we get:
2754 = 126 + 4d
Subtracting 126 from both sides, we get:
2628 = 4d
Dividing both sides by 4, we get:
d = 657 feet
The scientific team is measuring the pressure at a depth of 657 feet below the surface of the ocean.
For such more questions on Measurements:
https://brainly.com/question/27122947
#SPJ11
Give the equation the circle (X+5)^2+(y-1)^2=16, which correctly gives the center and radius of the circle
Answer:
Step-by-step explanation:
You have:
\((x+5)^2+(y-1)^2=16\)
\((x+5)^2+(y-1)^2=4^2\)
To find the center of the circle, you want to find the 'x' and 'y' values which make their respective term equal zero:
\((x+5)^2=0\)
\((y-1)^2=0\)
\(x=-5\)
\(y=1\)
The radius of the circle would be 4 due to the right side of the circle equation. Our circle is centered at (-5, 1) and has a radius of 4 units.
what is linear relationship
Step-by-step explanation:
a linear relationship is simply a straight line relationship.
any equation that can be pot in the form of y = mx + b is a linear relationship.
linear = straight
hope this helps
Help I need the answer
Fast
Answer: 4
Step-by-step explanation: because he needs to divided by 2
A basketball player scored 33 points during a game by shooting 1-point free throws, 2-point field goals, and 3-point field goals. The player scored 17 times. She scored 3 more 2-point field goals than 1-point free throws. The system of equations below represents the situation, where x is the number of 1-point free throws, y is the number of 2-point field goals, and z is the number of 3-point field goals. x + y + z = 17 x + 2y + 3z = 33 y – x = 3
Answer:
No. of 1 pt free throws = 5, No. of 2 pt goals = 8, No. of 3 pt goals = 4
Step-by-step explanation:
Equations : x + y + z = 17 [ Total times taken to score ]
1x + 2y + 3z = 33 [ Total Score ]
Also, y = x + 3
Putting the value of 'y' in both equations :
x + (x + 3)+ z = 17 → 2x + 3 + z = 17 → 2x + z = 14 (i)
1x + 2 (x + 3) + 3z = 33 → x + 2x + 6 + 3z = 33 → 3x + 3z = 27 (ii)
Solving these equations :
From (i), z = 14 - 2x
Putting this value in (ii), 3x + 3(14 - 2x) = 27 → 3x + 42 - 6x = 27
42 - 3x = 27 → 3x = 15 → x = 5
y = x + 3 = 5 + 3 → y = 8
z = 17 - x - y → z = 17 - 5 - 8 = 17 - 13 → z = 4
Answer:
4
Step-by-step explanation:
Working together, Edith and Rupert can pick 3 quarts of blueberries in an
hour. How many quarts can they pick in 7 hours?
Answer:
21
Step-by-step explanation:
Multiply 3 quarts to 7 hours
Which is 21
Mark me as brainliest
Step-by-step explanation:
Edith picks 3
Rupert picks 3
3 + 3 = 6 quarts of blueberries in 1 hour
6 blueberries = 1 hour
x. =. 7 hours
x = 7 hours ÷ 1 hour × 6 blueberries
x =. 42 quarts of blueberries
Complete the rate table. Enter fractional answers as decimals.Distance (km)0.4Time (min)510202560
Answer:
Distance (km) 0.4 0.8 1.6 2 4.8
Time (min) 5 10 20 25 60
Explanation:
This is a direct relation, it means that when the time increase, the distance increase. So, the ratio of the distance to the time is constant, then we can calculate the distance for 10 min as follows
\(10\text{ min}\times\frac{0.4\text{ km}}{5\text{ min}}=\frac{10\text{ min}\times0.4\text{ km}}{5\text{ min}}=0.8\text{ km}\)In the same way, we get the following for 20, 25, and 60 min
\(20\text{ min}\times\frac{0.4\text{ km}}{5\text{ min}}=\frac{20\text{ min }\times0.4\text{ km}}{5\text{ min}}=1.6\text{ km}\)\(25\text{ min }\times\frac{0.4\text{ km}}{5\text{ min}}=\frac{25\text{ min }\times0.4\text{ km}}{5\text{ min}}=2\text{ km}\)\(60\text{ min}\times\frac{0.4\text{ km}}{5\text{ min}}=\frac{60\text{ min }\times0.4\text{ km}}{5\text{ min}}=4.8\text{ km}\)Therefore, the complete table is
Distance (km) 0.4 0.8 1.6 2 4.8
Time (min) 5 10 20 25 60
PLEASE HELP ME!! I DONT UNDERSTAND HOW TO DO THIS PROBLEM, and I need the correct answer
Answer:
C
Step-by-step explanation:
The lines cross at (1,4)
Last year, Gina's sweet potato farm produced 337 tons of sweet potatoes. This year, the sweet potato production increased by 40%. How many tons of sweet potatoes did Gina's farm produce this year? 427 tons 425 tons 447 tons 445 tons
So, Gina's farm produced approximately 471.8 tons of sweet potatoes this year. Rounded to the nearest whole number, this is 472 tons.
What you mean by increasing?When we talk about an increase, we are referring to a change in quantity or value that is greater than the original amount. In other words, an increase means that something has gotten bigger, larger, or more than it was before.
Given by the question.
To find out how much sweet potatoes Gina's farm produced this year, we need to add 40% of last year's production to the amount produced last year:
40% of 337 tons = 0.4 x 337 = 134.8 tons
Adding this to last year's production gives:
337 + 134.8 = 471.8 tons
To learn more about increase:
https://brainly.com/question/9895771
#SPJ1
QUESTION: shegohese and share and secondary to these two one cometto a led for their respective These and selling coloring boom The but De use the momente tento 22. Determine deberet cas il each one le 12. neers for 27 Bronse cms neprotse greater that of these because ups are bigger and se charge mere perete se 113 cute the percentage promoted online uma cena 100%
Step-by-step explanation:
12 because they are bigger
Answer:
it will be 22% that your answer to your questions
If 4 pounds of sugur cost $2, the cost of 1 pound of sugar cost
Answer:
50 cent
Step-by-step explanation:
Answer:
.50¢
Step-by-step explanation:
50 cents = 1 pound
$1.00 = 2 pound
$1.50 = 3 pounds
$2.00 = 4 pounds
basically adding 50 cents equals to $2
The mass m milligrams of a radioactive substance at time t days, is given by:m(t) = Ae^-ktwhere A and k are constants.The initial mass of the substance is 120 milligrams.The mass of the substance after 10 days is 90 milligrams.a)Sketch the graph to show the relationship between tand mfor ≥ 0 days.b)Show that the value of A is 120.C)Show that the value of & is 0.02877, given to 4 significant figures. d)Using the value of k as 0.02877, find the mass of the substance after 16 days,giving the answer to 3 significant figures.e)Using the value of & as 0.02877, find the day during which the mass of thesubstance first reaches 50 milligrams.
a) Check the graph below, please
b) 120.002
c) 0.02876
d) 75.729g
e) Approximately on the 31st day
1) Considering that the mass is given by this exponential function:
\(m(t)=Ae^{-kt}\)And plugging into that the initial mass, the period, and the final amount of mass:
\(90=120e^{-10k}\)Notice that the initial mass A, is constant and m, is the final amount of mass.
a) Based on that we can plot the following equation:
In this graph, the x-axis represents the days and the y-axis the mass. Since the exponent is negative the graph is like it was reflected across the y-axis.
b) We can demonstrate that the initial value of the mass, A is 120 doing this:
\(\begin{gathered} 90=Ae^{-10\cdot0.02877} \\ \frac{90}{A}=\frac{Ae^{-10\cdot0.02877}}{A} \\ \frac{90}{A}=e^{-10\cdot0.02877} \\ 90=Ae^{-10\cdot0.02877} \\ A=\frac{90}{e^{-10\cdot0.02877}} \\ A=120.002\approx120 \end{gathered}\)Note that we have plugged into that the value of k=0.002877 so that we could have just one variable.
c) Plugging into the formula all the variables but k, we have:
\(\begin{gathered} 90=120e^{-10k} \\ \frac{90}{120}=\frac{120e^{-10k}}{120} \\ \frac{3}{4}=e^{-10k} \\ \ln (\frac{3}{4})=\ln e^{-10k} \\ -0.2876=-10k \\ k=0.02876\approx0.02877 \end{gathered}\)Remember the logarithmic properties so that we could find out k as 0.02877 approximately.
d) Now the point here is the mass "m" in grams for 16 days decaying:
\(\begin{gathered} m=120e^{-0.02877\cdot16} \\ m=75.729g \end{gathered}\)Note that we have used the Euler number as 2.718...
e) Similarly let's find it for the time:
\(\begin{gathered} 50=120e^{-0.0287\cdot t} \\ \frac{50}{120}=\frac{120e^{-0.0287\cdot t}}{120} \\ \frac{5}{12}=e^{-0.0287\cdot t} \\ \ln (\frac{5}{12})=\ln e^{-0.0287\cdot t} \\ -0.8754=-0.0287t \\ t=30.504\approx31 \end{gathered}\)Hence, the mass will reach 50 grams about the 30th to the 31st day
How do you find the perimeter of a trapez?
Perimeter of the trapezium ,P= (a+b+c+d)
What is a trapezium ?
*The trapezium is a quadrilateral with one pair of parallel opposite sides. *The parallel sides of a trapezium are called bases and
*the non-parallel sides of a trapezium are called legs.
*It is also called a trapezoid.
What is the formula of trapezium ?
Area of trapezium = \(\frac{1}{2}\)\((a+b)h\)
where , a and b are the parallel sides of the trapezium .
h is the height of the trapezium .
Define perimeter .
The perimeter of a shape is defined as the total length of its boundary.
We are suppose to find the perimeter of a trapezium ,
So , by the given figure of trapezium
we conclude that , the perimeter would be the sum of the four sides ,but there is no relationship between any of the side lengths .
Hence its perimeter from the given figure is sum of all four sides .
As per the figure ,
Perimeter of the trapezium ,P= (a+b+c+d) .
Learn more about the Trapezium by :
https://brainly.com/question/117230
#SPJ4