how to write 3x2+3y2+12x+18y-15 in general and standard format
Answers
Related Questions
A researcher is interested in estimating the average salary of police officers in a large city. She wants to be 99% confident that her estimate is correct. If the standard deviation is $1050, how large a sample is needed to get the desired information and to be accurate within $200?
Answers
σ = $1050, ppulatin standard deviation
99% confidence interval
Accuracy = +/- $200
The accuracy is given by
z*(σ/√n)
where
z* = 2.576 for 99% confidence level (from tables)
n = sample size
Therefore
2.576(1050/√n) = 200
√n = (2.576*1050)/200 = 13.524
n = 182.9
Answer: The sample size is 183
A ship traveled for 4 hours heading east and for 3 hours heading north. If the total distance traveled was 149 miles, and the ship traveled 3 miles per hour faster heading north, at what speed was the ship traveling east?
Answers
4v+3(v+3)=149 perform indicated multiplication
4v+3v+9=149 combine like terms on left side
7v+9=149 subtract 9 from both sides
7v=140 divide both sides by 7
v=20
So the ship traveled at a speed of 20 mph when heading east.
A set of equations is given below: Equation E: c = 2d + 1 Equation F: c = 3d + 7 Which statement describes a step that can be used to find the solution to the set of equations? (1 point)
Equation F can be written as c = 3(c – 1) + 7.
Equation F can be written as c = 2(c – 7) + 1.
Equation F can be written as d + 1 = 3d + 7.
Equation F can be written as 2d + 1 = 3d + 7.
Answers
The Tunnel of Fear ride climbs straight up to its peak 50 meters above the ground. Then, it drops 65 meters into an underground tunnel. What is the elevation of the tunnel relative to the ground?
Answers
Answer:
-15
Step-by-step explanation:
A wire that is 22 feet long connects the top of a pole to the ground. The wire is attached to the ground at a point that is 10 feet from the base of the pole.
What is the height of the pole? Round to the nearest hundredth.
12.00 feet
19.60 feet
24.17 feet
38.40 feet
Answers
Solution:
Length of wire = 22 feet =AB
Distance between the point where wire is attached to the ground from the point on the ground where pole is fixed= 10 feet=OB
In Right Δ O A B
By Using pythagoras theorem
O A² + OB² = AB²
O A² +10²= 22²
O A²= 484 - 100
O A²= 384
O A= √384= 19.60 (Approximately)
So, the height of pole to nearest hundredth = 19.60 feet
The height of the pole is 19.60 ft
The situation forms a right angle triangle.
Right angle triangleRight angle triangle have one of its sides as 90 degree.
The length of the wire is the hypotenuse of the triangle formed.
The distance of the wire attached to the ground to the base of the pole is the adjacent side of the triangle.
The height of the pole can be found using Pythagoras theorem.
c² = a² + b²
22² - 10² = b²
b² = 484 - 100
b = √384
b = 19.5959179423
b = 19.60 ft
learn more on right triangle here: https://brainly.com/question/12553755
In a line of students, Jenna is number 8. The teacher says that a rule for a number pattern is add 4. The first student in line says the first term, 7. What number should Jenna say?
Answers
Hope this helps!
Which polynomial is a difference of two squares?
x2 − 16
x2 + 16
x2 − 8
x2 + 8
Answers
x^2 - 16 = (x)^2 - 4^2, difference of two squares :)
(a^2-b^2)
I believe that they might just want you to select
(x^2-16) which factors to (x-4)(x+4)
But there is nothing mathematically incorrect in doing the same for:
(x^2-8) which factors to (x-√8)(x+√8)
What process can you use to help you write a system of linear equations when dealing with mixture problems
Answers
Chale bought some packages of pens. He bought one package containing 5 pens and *n* packages containing two pens each. Which of the following expressions could be used to find the total number of pens that Chale bought?
A)7n
B)10n
C)5n+2
D)2n+5
Answers
n*2 = 2n [and n packages containing two pens each]
So the total number of pens that he bought is 2n+5
This is because you know how many packages of 5 pens he bought which is 1. So that stays the same. you are trying to figure out how many packages of 2 pens he bought so that is a variable. so to find the total number of pens it is 2n+5.
What is the solution to the equation x + 8.5 = 64.5? 7.6 48 56 73
Answers
x + 8.5 = 64.5
- 8.5 - 8.5
---------------------------
x = 56
x + 8.5 = 64.5
Reorder the terms:
8.5 + x = 64.5
Solving
8.5 + x = 64.5
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8.5' to each side of the equation.
8.5 + -8.5 + x = 64.5 + -8.5
Combine like terms:
8.5 + -8.5 = 0.0
0.0 + x = 64.5 + -8.5
x = 64.5 + -8.5
Combine like terms: 64.5 + -8.5 = 56
x = 56
Simplifying x = 56
Suppose $16,537.50 in interest was earned after $75,000 was invested at a simple interest rate of 3.15%. How long (in years) was the money invested?
Answers
I=prt
I interest earned 16537.5
P principle 75000
R interest rate 0.0315
T time?
Solve the formula for t
T=I÷pr
T=16,537.5÷(75,000×0.0315)
T=7 years
Answer:
7 Years
Step-by-step explanation:
Jaime drew a square that has sides that are whole numbers of centimeters. Which could not be the area of Jaime's square? A. 25cm2 B. 36cm2 C. 50cm2 D. 64cm2
Answers
Final answer:
To find the area of a square, we use the formula A = s², where A represents the area and s represents the length of a side. Evaluating the options, the area that could not be Jaime's square is C. 50cm².
Explanation:
To find the area of a square, we need to multiply the length of one side by itself. So, the formula for the area of a square is A = s², where A represents the area and s represents the length of a side. We can evaluate the given options using this formula:
A. 25cm²: This could be the area of Jaime's square since 5² = 25.B. 36cm²: This could be the area of Jaime's square since 6² = 36.C. 50cm²: This could not be the area of Jaime's square since there is no whole number that can be squared to give 50.D. 64cm²: This could be the area of Jaime's square since 8² = 64.Therefore, the answer is C. 50cm².
Find the slope and y-intercept of the line. y = 7/5x – 3
Answers
m = slope
b = y intercept
m = 7/5
b = -3 or (0,-3).
Answer:
Slope is [tex]\frac{7}{5}[/tex]
y-intercept is -3
Step-by-step explanation:
Given equation of line,
[tex]y=\frac{7}{5}x-3[/tex]
Since, the slope intercept form of a line is y = mx + c
Where, m is the slope of the line,
By comparing,
[tex]m = \frac{7}{5}[/tex]
Hence, the slope of the given line is [tex]\frac{7}{5}[/tex]
Now, for y-intercept,
x = 0,
[tex]y=\frac{7}{5}(0) - 3 = -3[/tex]
Hence, the y-intercept of the line is -3.
A basketball team has eight boys and four girls on the roster. The boys average 12 points each. The team averages 136 points as a whole. How many points does each girl average?
Answers
8 x 12 = 96
136-96 =40
40/4 = 10
each girl averages 10 points
the boys have 8 player
EX. 12x8=96
136-96=40
There are four girls so 40 is divided evenly so the answer is 10 points a game
which expression is equivalent to 6a + 12
6(a+6)
3(3a+9)
6(a+9)
2(3a+6)
Answers
6(a + 2) ...not an answer choice
OR
6a + 12....factor out 3
3(2a + 4) ...not an answer choice
OR
6a + 12....factor out 2
2(3a + 6) <==== this one
ms campbell invested $7200 for 2 1/2 years. if she earned $756, at what rate did she invest her money. using I=PRT and the answer in percent form
Answers
Given I=PRT
Rearrange the formula to find R
I / PT= R
756 / (7200 * 2.5) = R
756 / 18000 = R
0.042 = R
so R = 4.2%
find the area of triangle qpm. round the answer to the nearest tenth. a. 5.2 square units b. 6.3 square units c. 6.5 square units d. 12.6 square units
Answers
We need to solve for the angles of the smaller triangle in order to solve for the angle of the larger triangle which would help us solve the missing measurement of a side.
Given:
51 degrees.
Cut the triangle into two equal sides and it forms a right triangle. All interior angles of a triangle sums up to 180 degrees.
180 – 51 – 90 = 39 degrees
39 degrees * 2 = 78 degrees.
Angle Q is 78 degrees.
In the bigger triangle, 4.3 is the hypotenuse. We need to solve for the measurement of the long leg which is the opposite of the 78 degree angle.
We will use the formula:
Sine theta = opposite / hypotenuse
Sin(78 deg) = opposite / 4.3
Sin(78 deg) * 4.3 = opposite
4.21 = opposite. This is also the height of the triangle.
Area of a triangle = ½ * base * height
A = ½ * 3units * 4.21units
A = 6.315 square units.
Cual es el minimo comu multiplo de 81,27,9
Answers
Eso es porque
81*1= 81,
27*3=81,
y 9*9=81.
a washer and dryer cost $978 combined the washer cost $78 more than the dryer what is the cost of the dryer
Answers
Answer:
$450
Step-by-step explanation:
2x+78=978
2x=900 [subtract 78 from both sides]
x=450 [divide both sides by 2]
Diana made a recipe that yields 6 and 1 over 2 cups. If each serving is 1 over 4 cup, which expression will help Diana determine the number of servings her recipe will yield? 6 and 1 over 2 ⋅ 1 over 4 6 and 1 over 2 ÷ 1 over 4 6 and 1 over 2 + 1 over 4 6 and 1 over 2 − 1 over 4
Answers
Answer:
6 and 1 over 2 ÷ 1 over 4
Step-by-step explanation:
Given,
The total cups in a recipe = 6 and 1 over 2 cups
[tex]=6\frac{1}{2}\text{ cups}[/tex]
Also, the cups in each serving = 1 over 4 cup
[tex]=\frac{1}{4}\text{ cups}[/tex]
Hence, the number of servings = [tex]\frac{\text{total cups in a recipe}}{\text{cups in each serving}}[/tex]
[tex]=\frac{6\frac{1}{2}}{\frac{1}{4}}[/tex]
= 6 and 1 over 2 ÷ 1 over 4
Second option is correct.
Which expression represents the composition [f o g](x) for the functions below? f(x) = 2x + 3 g(x) = x – 6
2x – 9
2x – 3
2x – 15
2x2 – 9x – 18
Answers
Answer:
Option A is correct
2x-9
Step-by-step explanation:
Given the functions:
f(x) = 2x + 3
g(x) = x -6
We have to find [f o g](x).
[tex][fog](x) = f[g(x)][/tex]
Substitute the function g(x),
[tex][fog](x) = f[x-6][/tex]
Replace the value of x with x-6 in f(x) we have;
[tex][fog](x) =2(x-6)+3[/tex]
⇒[tex][fog](x) =2x-12+3[/tex]
⇒[tex][fog](x) =2x-9[/tex]
Therefore, the value of [tex][fog](x)[/tex] is, 2x-9
The probability of drawing a blue card is 5/11 what is the probability of NOT drawing a blue card?
Answers
PLEASE HELP ME!!!
What is the simplified form of the quantity 15 x y squared over x squared minus 5x plus 6 all over the quantity 5 x squared y over 2x squared minus 7x plus 3 ?
Answers
[tex]\frac{3y(2x-1)(x-3}{x(x-6)(x+1)} [/tex]
Answer: [tex]\frac{3y(2x-1)}{x(x-2)}[/tex]
Step-by-step explanation:
Given problem to simplify is [tex]\frac{\frac{15xy^2}{x^2-5x+6} }{\frac{5x^2y}{2x^2-7x+3} } \\\\=\frac{15xy^2}{x^2-5x+6}\cdot\ \frac{2x^2-7x+3} {5x^2y}............\text{(by fractional division property,the denominator invert and its reciprocal multiply to numerator)}\\\\=\frac{15xy^2}{(x-3)(x-2)}\cdot\frac{(x-3)(2x-1)} {5x^2y}.........\ \text{(factorizing quadratic equation)}[/tex]
[tex]=\frac{3y(2x-1)}{x(x-2)}........\text{(cancelling like terms with same degree and coefficients from numerator and denominator)}[/tex]
so the simplified form of the given problem is [tex]\frac{3y(2x-1)}{x(x-2)}[/tex]
In a group of 60 students, 12 students take Algebra I, 18 students take Algebra II, and 8 students take both subjects. How many students don't take either of these subjects?
Answers
18-8=10.
10+4+8=22
60-22=38
The table shows the ratio of caramel corn to hot pepper corn in a bag. What is the constant of proportionality?
Hot Pepper Corn | Caramel Corn
5_______________8
10 _____________ 16
15______________ 24
Answers
For this problem,let's divide each row of values to get the ratio. The ratio for all of this pair of values must coincide with each other. The solution is as followsL
Hot Popcorn Corn/Caramel Corn
5/8 = 5/8
10/16 = 5/8
15/24 = 5/8
Therefore, the ratio is 5/8. It can also be in decimal form which is equal to 0.625.
Solve 5^x=81. 2
Round to the nearest ten-thousandth.
X≈????
Answers
5^x=81.2 take the natural log of both sides
xln5=ln81.2 divide both sides by ln5
x=ln81.2/ln5
x≈2.7320 (to nearest ten-thousandth)
If you just meant 5^x=81, the process is the same
5^x=81 take the natural log of both sides
xln5=ln81 divide both sides by ln5
x=ln81/ln5
x≈2.7304 (to nearest ten-thousandth)
Which of the following best describes the expression 7(x + 9)?
A.) The product of a constant factor 7 and a 2-term factor x + 9
B.) the sum of a constant factor 7 and a 2-term factor x + 9
C.) the sum of a constant factors 7 and x + 9
D.) the product of a constant factors 7 and x + 9
Answers
A.
got it right on my test, flvs
M to the second power equals 49. Is it 7?
Answers
M^2 = 7^2
M = -7 and M = 7
In three more years Miguel's grandfather will be six times as old as Miguel was last year. When Miguel's grandfather present age is added to his grandfathers age is added to his grandfathers present age the total is 68. How old is his grandfather now ?
Answers
Miguel is 11 years old and his grandfather is 57 years old.
Last year Miguel was 10. In three more years his grandfather would be 60. 60/6=10. 11+57=68
convert 72832 ounces' to tons?