30. The point does not lie on the circle.
31. The point lies on the circle.
32. The point does not lie on the circle.
How to calculate the distance between two points?Suppose that we have two points of the coordinate plane, and the ordered pairs have coordinates \((x_1,y_1)\) and \((x_2,y_2)\).
The shortest distance between them is given by the equation presented as follows, derived from the Pythagorean Theorem:
\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
The point will lie on the circle if the distance between the point and the center is less than the radius.
Hence each point is classified as follows:
sqrt((2 - (-1))² + (4 - 1)²) = sqrt(18) > 4, not on the circle.sqrt(17 + 8²) = sqrt(81) = 9, lies on the circle.sqrt((3 - 2)² + (-9 - 0)²) = sqrt(82) > sqrt(10), not on the circle.More can be learned about the distance between two points at https://brainly.com/question/30347465
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Which ordered pair is a solution of the equation?
-3x+5y=2x+3y
a- only (2,4)
b- only (3,3)
c- both
d- neither
Answer: D-neither
Step-by-step explanation:
-6+20=4+12
-9+15=6+9
Please Answer This Question ASAP:
1st One To Answer Correctly, I Will Mark As Brainliest.
Fourteen more than the product of x and y
Answer:
14+(x*y)
Step-by-step explanation:
Rhianna sprinted 7/12 of a lap and then took a break by jogging 1/2 of a lap. How much father did Rhianna sprint than job?write your answer as a fraction or as a whole or mixed number
This subtraction will give you the answer.
\(undefined\)w/9=15 What is the answer
Answer:
135
Step-by-step explanation:
if you want to find w so it will be
\(w = 15 \times 9 = 135\)
865.3 divided by 5 ...?
ILL GIVE BRAINLIEST PLEASE HELPPPP
Find the length of the missing side in the following right angled triangle (its trigonometry and i need step by step explanation plzzz ITS GONNA BE DUE IN AN HOUR HELP PLZZZZ)
Answer:
Step-by-step explanation:
This looks like Pythagorean theorem.
c=\(\sqrt{a^2+b^2}\)
c=\(\sqrt{2^2+4^2}\)
c=4.47 ~ round up~ c= 5
Katie brought 5/6 pounds of candy to a slumber party tori brought 1/3 pound of candy how much candy did the girls have altogether
Answer:
1 \(\frac{1}{6}\) pounds of candy
Step-by-step explanation:
Add together the fractions by creating a common denominator of 6:
\(\frac{5}{6} + \frac{1}{3}\)
\(\frac{5}{6} + \frac{2}{6}\)
= \(\frac{7}{6}\)
Simplify into a mixed fraction:
= 1 \(\frac{1}{6}\)
So, the girls had 1 \(\frac{1}{6}\) pounds of candy
A certain brand of coffee comes in two sizes. A 10.5 -ounce package costs $2.99. A 29.9-ounce package costs 7.98. Find the unit price for each size. Then state which size is the better buy based on the unit price. Round your answer to the nearest cent.
The 29.9-ounce package has a lower unit price of $0.2669 per ounce, making it the better buy.
To determine the unit price for the 10.5-ounce package, you would divide the cost of the package ($2.99) by the weight of the package (10.5 ounces). So:
$2.99 ÷ 10.5 ounces = $0.2847 per ounce
To find the unit price for the 29.9-ounce package, you would divide the cost of the package ($7.98) by the weight of the package (29.9 ounces). So:
$7.98 ÷ 29.9 ounces = $0.2669 per ounce
So, the 29.9-ounce package has a lower unit price of $0.2669 per ounce, making it the better buy.
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solve for the variable 12=5x+7
Answer:
would the variable be like one or something because 7 plus 5 is just 12 and that variable isn't needed so postive one
Step-by-step explanation:
brainlist plz thx
Answer: it is -1
Step-by-step explanation:
I just finished the test
For f(x) = 2x – 1 and g(x) = 9x, find f(3) + g(1)
As, we have :
f(x) = 2x - 1Therefore,
f(3) = 2(3) - 1 = 6 - 1 = 5
Now, g(x) = 9x
Therefore,
g(1) = 9(1) = 9
Now, we have to find value of f(3) + g(1) :
By substituting values, we have :
f(3) + g(1) = 5 + 9 = 14
Hence, value of f(3) + g(1) is 14.
Answer:
\(→f(x) = 2x - 1 \\→ g(x) = 9x \\→ f(3) = 2(3) - 1 \\ f(3) = 6 - 1 \\ f(3) = 5 \\→ g(1) = 9(1) \\ g(1) = 9 \\→ f(3) + g(1) = 5 + 9 \\ \boxed{f(3) + g(1) = 14}\)
f(3) + f(1) = 14 is the right answer.From 82 books to 138 books
Find the percent increase. Round to the nearest percent.
Answer:
68%
Step-by-step explanation:
Calculate percentage change
from V1 = 82 to V2 = 138
(V2−V1)|V1|×100
=(138−82)|82|×100
=5682×100
=0.682927×100
=68.2927%change
=68.2927%increase
=68%
a. What are the coordinates of the reflected point?
b. Reflect the coordinate points from 3(a) over the y-axis
What are the coordinates of the reflected point?
Answer: Part A is (-9, 13) Part B is (9, 13)
Step-by-step explanation:
What is the area of this polygon in square units
The area of the polygon is 80 units².
What is a Polygon?
A polygon is a plane figure made up of line segments connected to form a closed polygonal chain. The segments of a closed polygonal chain are called its edges or sides.
Dividing the polygon into parts marked in the attached figure so as to calculate the area easily.
For triangle, DEF
Area = \(\frac{1}{2} bh\)
= \(\frac{1}{2}\) × 3 × 4
= 6 units²
For triangle BCD
Area = \(\frac{1}{2}bh\)
= \(\frac{1}{2}\) × 2 × 4
= 4 units²
For trapezoid ABFG,
Area = \(\frac{1}{2} (a + b) h\)
= \(\frac{1}{2}\) × (5.5 + 12) × 8
= 70 units²
Hence, total area = 6 + 4 + 70
= 80 units².
Therefore, the total area of the polygon is 80 units².
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Please help this is due tomorrow
determine whether the distribution of the data listed is symmetric
skewed left/right 1, 1, 2, 3, 4
When the distributions on either side of the mean are mirror images of one another, a distribution is said to be symmetrical. When a distribution is symmetrical, mean equals median = mode. A distribution is referred to as skewed if it is not equal.
What is Probability?The idea of probability describes the possibility of an event happening.
We frequently have to make forecasts about the future in real life.
We may or may not be aware of the outcome of an event.
When this happens, we declare that there is a chance the event will take place.
In summary, probability has a wide range of fantastic applications in entertainment, business, and this recently expanding branch of artificial intelligence.
The probability formula can be used to determine the likelihood of an event by only dividing the favorable number of possibilities by the entire number of p-ossible outcomes.
Hence, When the distributions on either side of the mean are mirror images of one another, a distribution is said to be symmetrical. When a distribution is symmetrical, mean equals median = mode. A distribution is referred to as skewed if it is not equal.
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The fifth term of the number patter
15. 10.5. O is
Answer:
-5
Step-by-step explanation:
15-5=10
10-5=5
5-5=0
0-5= -5
a=1.34,b=0.273,c=3.3548
a×b
Answer:
0.36582
Step-by-step explanation:
(a×b)
= (1.34×0.273)
= 0.36582
What is the advantage of pooling your data with the rest of the lab section?.
Data sharing with the remainder of the lab section has a number of benefits. First of all, it broadens the sample size overall, which can boost the statistical power of analyses and broaden the applicability of the results.
It is simpler to find significant effects or relationships in the data when the sample size is higher. Furthermore, combining data can result in a more representative sample, minimising any biases that can be present in smaller individual datasets. Collaboration and the investigation of trickier research problems are made possible by sharing data. It promotes information exchange and a collaborative atmosphere where researchers can benefit from one another's experiences, approaches, and insights, thereby raising the calibre and dependability of the research carried out in the lab sector.
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Help Please!!!!!!!!
Answer:
40
Step-by-step explanation:
both angles are corresponding angles which means both are equal
i.e
4x-50 = 2x+30
4x-2x = 50+30
2x = 80
x = 80/2
therefore x = 40
keep smiling
Peggy is planting a garden. The garden is 103 feet wide by 7 feet long. What is the area of the garden?
Answer: 721 ft
Step-by-step explanation:
formula for area is a=l*w
Given: w=103, length=7
103*7=721
Answer: The answer 721. When you are finding an area of something you must multiply the length and the width so the information given.
103 x 7 = 721 feet long
Here is the real problem:
It's sloppy as long as you understand the concept : )
In ijk,i=170 inches,j=119 and k=42.find the area of ijk,to the nearest square inch
9514 1404 393
Answer:
25,975 in²
Step-by-step explanation:
Since your j+k < i, we assume that not all of these dimensions are side lengths. If we assume ...
i = 170 in
J = 119°
K = 42°
Then we can find side j using the law of sines.
I = 180° -119° -42° = 19°
Then the law of sines tells us ...
j/sin(J) = i/sin(I)
j = i·sin(J)/sin(I) = (170 in)sin(119°)/sin(19°) = 456.695
Then the area of the triangle is ...
A = (1/2)(i·j·sin(K)) = (1/2)(170 in)(456.695 in)sin(42°) ≈ 25,975.03 in²
The area of triangle IJK is about 25,975 square inches.
please assist me with these Pyrometallurgy questions.Thank you in advance Question3
(a) List the steps of the production of ferrosilicon containing 75% of Silicon ( 4marks)
(b) Give the name of the reactor used at each stage and the corresponding operating temperature
Question4 (a) List steps of the production of ferrochromium ( 4marks)
(b)Give the name of the reactor used at each stage and the corresponding operating temperature ( 6 marks)
Pyrometallurgy is a branch of extractive metallurgy that focuses on the high-temperature processes used to extract metals from their ores.
In this context, I will provide a detailed explanation for Questions 3 and 4 regarding the production of ferrosilicon and ferrochromium, respectively.
Question 3:
(a) Steps of the production of ferrosilicon containing 75% of Silicon:
1. Ore Preparation: The first step involves the preparation of the raw materials. In this case, the primary ingredient is silica (SiO2) obtained from quartz or other silica-rich minerals.
2. Reduction: The prepared silica is mixed with a reducing agent such as coke (carbon) and is subjected to a high-temperature reduction process in a reactor. This process involves the removal of oxygen from silica to produce silicon.
3. Alloying: The produced silicon is then alloyed with iron, typically in the form of iron ore or scrap, to create ferrosilicon. This alloying step occurs in another reactor.
4. Refining: The final step involves refining the ferrosilicon to achieve the desired silicon content. This is done by adjusting the composition through the addition of other elements and removing impurities. The refining process usually occurs in a separate refining furnace.
(b) Reactor names and operating temperatures:
1. Reduction: The reactor used for the reduction process is called an electric arc furnace. The operating temperature typically ranges from 1800°C to 2000°C.
2. Alloying: The alloying of silicon and iron takes place in a submerged arc furnace. The operating temperature in this furnace is around 1600°C to 1700°C.
Question 4:
(a) Steps of the production of ferrochromium:
1. Chromite Ore Preparation: The first step involves the preparation of chromite ore. Chromite is a mineral containing chromium and iron oxides. The ore is crushed and ground to a suitable size for further processing.
2. Roasting: The prepared chromite ore is roasted in the presence of a reducing agent, such as coke or coal. This roasting process converts the chromium in the ore from the hexavalent to the trivalent state, making it more amenable to further reduction.
3. Reduction: The roasted chromite ore is then subjected to a reduction process to convert the trivalent chromium into metallic chromium. This reduction is typically carried out in a submerged arc furnace or electric arc furnace.
4. Alloying: The produced metallic chromium is alloyed with iron, often in the form of iron ore or scrap, to create ferrochromium. The alloying step occurs in a separate furnace.
(b) Reactor names and operating temperatures:
1. Roasting: The roasting process usually takes place in a rotary kiln or a multiple hearth furnace. The operating temperature is typically in the range of 1000°C to 1200°C.
2. Reduction: The reduction of the roasted chromite ore into metallic chromium is commonly done in a submerged arc furnace or electric arc furnace. The operating temperature in these furnaces is around 1600°C to 1800°C.
3. Alloying: The alloying of metallic chromium and iron occurs in a separate furnace, often referred to as a ferrochromium furnace. The operating temperature in this furnace is usually in the range of 1600°C to 1700°C.
In summary, the production of ferrosilicon involves ore preparation, reduction, alloying, and refining steps. The reactors used are electric arc furnaces for reduction and submerged arc furnaces for alloying, with corresponding operating temperatures of around 1800-2000°C and 1600-1700°C, respectively.
Similarly, the production of ferrochromium involves chromite ore preparation, roasting, reduction, and alloying steps. The reactors used are rotary kilns or multiple hearth furnaces for roasting, submerged arc furnaces or electric arc furnaces for reduction, and a separate furnace for alloying. The operating temperatures range from 1000-1200°C for roasting and 1600-1800°C for reduction, while the alloying furnace operates at around 1600-1700°C.
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Martin is selling chocolate bars for a fundraiser. His goal is to sell 500 chocolate bars to win the top prize. He can sell 11 per hour by standing in front of the local grocery store. He already sold 258, and he uses the equation 11x+258=500 to find how many more hours he needs to sell for.
When he solves the equation, he gets x=22.
What does this mean in the context of the situation?
Answer:
This means that Martin needs to stand 22 more hours before reaching his goal.
Step-by-step explanation:
His goal is 500.
He already sold 258.
So 500 - 258 = 242.
He needs to sell 242 bars before he can reach his goal.
Since he can sell 11 bars per hour,
242 / 11 = 22.
-kiniwih426
refer to exercise 23. find the dimensions of the cylindrical mailing tube of greatest volume that may be mailed using the us postal service.
The dimensions of the cylindrical mailing tube of greatest volume that may be mailed using the US Postal Service are approximately:
Diameter: 3.45 inches
Length: 18.7 inches
Volume: 123.8 cubic inches.
To find the dimensions of the cylindrical mailing tube of greatest volume that may be mailed using the US Postal Service, we need to consider the dimensional restrictions set by the Postal Service. According to their regulations, the length and girth (circumference plus the diameter) of a package must not exceed 108 inches combined.
Let's assume that the tube has a diameter of "d" and a length of "L". The girth of the package is the sum of the circumference of the circular ends and the diameter of the tube, so we have:
Girth = 2π(d/2) + d = πd + d
The length and girth must satisfy the inequality:
L + Girth ≤ 108
Substituting the expression for Girth, we get:
L + πd + d ≤ 108
Solving for L in terms of d, we get:
L ≤ 108 - (π + 1)d
Now, let's consider the volume of the cylindrical tube, which is given by:
V = πr²L = (πd²/4) L
Substituting the expression for L, we get:
V = (πd²/4) (108 - (π + 1)d)
To find the maximum volume, we can take the derivative of V with respect to d, set it equal to zero, and solve for d:
dV/dd = 0
d[πd²/4 (108 - (π + 1)d)]/dd = 0
πd/2 - 3π²d/4 - π/4 + 27/4 = 0
Solving for d, we get:
d = 27/(4π - 6π²)
Substituting this value of d back into the expression for L and the equation for the maximum volume, we get:
L = 108 - (π + 1)d ≈ 18.7 inches
V = (πd²/4) (108 - (π + 1)d) ≈ 123.8 cubic inches
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Given zero body forces, determine whether the following stress distribution can exist for a body in equilibrium: sigma x = - 2c1xy, sigma y = c2z2, sigma z = 0 tau xy = c1(c2 - y2) + c3xz, tau xz = -c3y, tau yz = 0
Stress distribution can exist for a body in equilibrium if sigma x = - 2c1xy, sigma y = c2z2, sigma z = 0 tau xy = c1(c2 - y2) + c3xz, tau xz = -c3y, tau yz = 0.
Stress equilibrium specifies the pressure state of a body for a given external force field or body force distribution. The principle of stress equilibrium implies that the sum of the forces acting on the free body in equilibrium is zero, as well as the sum of the moments equal to zero.σx is the normal stress in the x direction that arises from the x-direction force acting on the plane. σy is the normal stress in the y direction that arises from the y-direction force acting on the plane.
σz is the normal stress in the z direction that arises from the z-direction force acting on the plane.τxy is the shear stress that arises from forces acting parallel to the xy plane. τxz is the shear stress that arises from forces acting parallel to the xz plane.τyz is the shear stress that arises from forces acting parallel to the yz plane.
Since there are no body forces acting on the object, it must be in equilibrium. The stress tensor is assumed to be symmetric, and the shear stresses must be equal. This is due to the plane orientation being perpendicular to the y-axis, which eliminates the need for a shear stress. As a result, we conclude that this stress distribution can exist for a body in equilibrium.
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Tom Sullivan's charge account statement shows an unpaid balance of $1,392. 8. The periodic rate is 2. 5% of
the unpaid balance. If he also has new purchases of $152. 87, what is his new balance?
Tom Sullivan's new account balance after all the transactions that has occurred as per the information provided will be $1,580.49.
Unpaid balance = $1,392. 8
Periodic rate = 2.5%
New purchase = $152.87
New Balance = $1,392. 8 + 2.5% + $152.87
A financial institution's account balance is the sum of money it has on hand during the current accounting period. It is the balance carried forward from the previous month plus the net difference between the credits and debits posted in any given accounting cycle.
An account balance offers current and convenient information about how much money you currently have on hand. An account balance offers a convenient way to manage the money coming in and going out while keeping track of all transactions.
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Clay is filling 6.5 bottle of salsa, He was able to fill 7.5 bottles. How many ounce of salsa did he have? Draw an area model to show the partial product
Answer: He had 48.75 oz of salsa.
Step-by-step explanation:
I guess that Clay is filling 6.5 oz bottles of salsa.
And we know that he was able to fill 7.5 of these bottles, then if each bottle has 6.5 oz, 7.5 of them have a total mass of salsa will be equal to 7.5 times 6.5 ounces, this is:
M = 7.5*6.5 oz = 48.75 oz
This means that Clay had 48.75 ounces of Salsa
A drawn model to show this is seen below.
Each big square represents 0.5 oz, and the area black delimited area represents a total amount of 6.5 oz, we have 7 of them, then you can draw that 7 times, and count the squares, and then you will find the total ounces of salsa that Clay had, which is equivalent to the multiplication we did above.
Use the properties of the natural logarithm to expand each logarithmic expression. Round answers to 3
decimal places, if necessary. a. In(7x) = Preview 5x b. In Preview x + 3 c. In (x 8) = Preview d. 15,000 In(xy4) =
a. ln(7x) can be expanded as ln(7) + ln(x). b. ln(x + 3) remains as it is, since it cannot be simplified further. c. ln(x^8) can be expanded as 8ln(x). d. 15,000ln(xy^4) can be expanded as ln(x) + 4ln(y) + ln(15,000).
a. To expand the logarithmic expression ln(7x), we can use the property of the natural logarithm that states ln(ab) = ln(a) + ln(b).
Therefore, ln(7x) can be expanded as ln(7) + ln(x).
b. Similarly, the logarithmic expression ln(x + 3) can be expanded using the property ln(ab) = ln(a) + ln(b).
Hence, ln(x + 3) remains as it is since we cannot simplify it further.
c. Expanding the logarithmic expression ln(x^8) can be done using the property ln(a^b) = b * ln(a).
Thus, ln(x^8) becomes 8 * ln(x).
d. Expanding the logarithmic expression 15,000ln(xy^4) can be done by applying the property ln(ab) = ln(a) + ln(b).
Therefore, 15,000ln(xy^4) can be expanded as 15,000[ln(x) + ln(y^4)].
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Please help me ASAP!
Answer:
C
Step-by-step explanation:
6 is the smallest so the first one would be c because it is the smallest
arithmetic operations are performed on selected records in a database using statistical functions
T/F
The answer is false as arithmetic operations are performed using arithmetic functions, not statistical functions. Arithmetic operations are performed on selected records in a database using arithmetic functions, not statistical functions.
Arithmetic operations in a database involve basic mathematical calculations such as addition, subtraction, multiplication, and division. These operations are used to manipulate numerical data in a database and perform calculations on selected records. Statistical functions in a database are used to analyze and summarize data. These functions include measures such as mean, median, mode, standard deviation, and variance. Statistical functions are used to provide insights into the data, identify trends and patterns, and make predictions. However, they are not used for arithmetic operations on selected records.
Finally, it is important to note that both arithmetic and statistical functions are essential tools for working with data in a database. Depending on the nature of the data and the analysis required, either type of function may be used. However, it is crucial to understand the differences between the two and use them appropriately to ensure accurate and meaningful results.
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