Solve for W!
W - 2.76 = 6.7
The equation of a circle whose center is at (4, 0) and radius is length 2√(3) is (x - 4)² + y² = 2√3 (x - 4)² + y² = 12 (x + 4)² + y² = 12
Answer:
Equation of the circle is
[tex](x-4)^2+y^2=12[/tex]
Step-by-step explanation:
We have been given that
center of the circle = (4,0)
Radius of the circle = [tex]2\sqrt3[/tex]
The standard form of a circle is given by
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Here, (h,k) is the center and r is the radius. Thus, we have
h = 4, k = 0, r = 2√(3)
Substituting these values in the above equation, we get
[tex](x-4)^2+(y-0)^2=(2\sqrt3)^2[/tex]
Simplifying, we get
[tex](x-4)^2+y^2=12[/tex]
Therefore, equation of the circle is
[tex](x-4)^2+y^2=12[/tex]
The necklace charm shown has two parts, each shaped like a trapezoid with identical dimensions.
What is the total area, in square millimeters, of the charm?
Answer:
855mm
Step-by-step explanation:
The area of the trapezoid can be calculated through the equation,
A = (b₁ + b₂)h / 2
where b₁ and b₂ are the bases and h is the height. Substituting the known values from the given,
A = (25mm + 32mm)(15 mm) / 2
A = 427.5 mm²
Since there are two trapezoids in the necklace, the area calculated is to be multiplied by two to get the total area.
total area = (427.5 mm²)(2)
total area = 855 mm²
A smaller number is 3 less than half a larger number. The larger number is 10 times 1 less than the smaller number. Let x represent the smaller number, and let y represent the larger number. Which equations can be used to model the situation? Check all that apply.
Answer:
A,B,E
Step-by-step explanation:
HAVE A GOOD DAY
The required expressions that represent the given conditions are x = 1/2y - 3 or 2x - y = -6 and y = 10[x - 1]. Options A, B, and E are correct.
Given that,
A smaller number is 3 less than half a larger number. The larger number is 10 times 1 less than the smaller number. Let x represent the smaller number, and let y represent the larger number.
The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
Here,
According to the question,
A smaller number is 3 less than half a larger number.
x = 1/2y - 3
or
2x -y = -6
The larger number is 10 times 1 less than the smaller number.
y = 10[x - 1]
Thus, the required expressions that represent the given conditions are x = 1/2y - 3 or 2x - y = -6 and y = 10[x - 1]. Options A, B, and E are correct.
Learn more about equations here:
brainly.com/question/10413253
#SPJ2
Please help me with questions 14 and 15
Factor
12x^5+6x^2-18
A) 6x^2(2x^3+x−3)
B) 12(x^5+6x^2−18)
C) 6(2x^5+x^2−3)
D) 6(2x^5+6x^2−18)
WILL GIVE BRAINLIEST TO PERSON WHO ANSWERS CORRECTLY!!!!!!!!!
Tony is baking cakes and loaves of bread for a family reunion. His cake recipe uses 5 cups of flour for each cake, and his bread recipe uses 6 cups of flour for each loaf. He has 90 cups of flour on hand.
Let c represent the number of cakes and b represent the number of loaves of bread that Tony bakes.
Create an inequality that symbolizes this situation, and then answer the question below.
Can Tony bake 8 cakes and 9 loaves of bread without buying more flour?
HELPP PLEASE!!!
Victoria will borrow $6500 at 13% APR. She will pay it back over 15 months. What will her monthly payment be?
A. $489.67
B. $503.75
C. $517.83
D. $629.69
Victor will borrow $6800 at 13.5% APR. He will pay it back over 3 Year’s. What will his monthly payment be?
A. $156.47
B. $227.46
C. $230.79
D. $324.90
Part A: The monthly amount payable by Victoria is $503.75. Option B shows the monthly payment made by Victoria.
Part B: The monthly amount payable by Victor is $276.17.
What is interest?Interest is defined as the amount of money paid for the use of someone else's money.
Part A:
Given that the amount P is $6500, interest rate R is 13% and time period T is 15 months. The yearly time period is given as,
[tex]T = \dfrac {15}{12}[/tex]
[tex]T = 1.25 \;\rm Years[/tex]
The interest is calculated as given below.
[tex]I = P\times\dfrac {R}{100}\times T[/tex]
[tex]I = 6500 \times \dfrac {13}{100} \times 1.25[/tex]
[tex]I =\$ 1056.25[/tex]
The total amount after 15 months is given as,
A = P + I
A = $6500 + $1056.25
A = $7556.25
This is the amount of 15 months. The amount of one month is calculated as given below.
Monthly Amount = [tex]\dfrac {\$7556.25}{15}[/tex]
Monthly Amount = $503.75
Hence we can conclude that the monthly amount payable by Victoria is $503.75. Option B shows the monthly payment made by Victoria.
Part B:
Given that the amount P is $6800, interest rate R is 13.5% and time period T is 3 years.
The total amount after 3 years is given as,
[tex]A = P (1 + \dfrac {R}{100})^T[/tex]
[tex]A = 6800 (1 + \dfrac {13.5}{100})^3[/tex]
[tex]A = 6800 \times 1.4621[/tex]
[tex]A = \$ 9942.28[/tex]
This is the amount of 3 years or for 36 months. The amount of one month is calculated as given below.
Monthly Amount = [tex]\dfrac {\$9942.28}{36}[/tex]
Monthly Amount = $276.17
Hence we can conclude that the monthly amount payable by Victor is $276.17.
To know more about the interest, follow the link given below.
https://brainly.com/question/4605117.
Solve and graph question 5 help with this problem
Madison has to read a book that is 260 pages. Her mom says she can take a break when she is 30% finished. How far does she need to read? A) 8 pages B) 17 pages C) 78 pages D) 87 pages
Kevin rented a truck for obe day. There was a base fee of $15.99, and there was an additional charge of 83 cents for each mile driven. Kevin had to pay $177.01 when he returned the trunk. For how many miles did ge drive the trunk?
Graph the following inequality. Then click until the correct graph appears.
x - y < 2
the correct graph is the dotted diagonal one ( 3rd picture)
Solve for y
y >x-2
Answer:
Third picture
Step-by-step explanation:
If you simplify the inequality, it is y > x - 2. Because of this, we can graph it as such.
Devin borrowed $1,058 at 13 percent for nine months.
What will he pay in interest?
How much is his total payment?
What will be his monthly payment?
Answer:
A. [tex]I\approx \$103.16[/tex]
B. [tex]\text{Total payment}=\$1161.16[/tex]
C. [tex]\text{The monthly payment}\approx \$129.02[/tex]
Step-by-step explanation:
We have been given that Devin borrowed $1,058 at 13 percent for nine months.
A. To find the amount of interest paid by Devin we will use formula: [tex]I=Prt[/tex], where,
[tex]I=\text{Amount of interest}[/tex],
[tex]P=\text{Principal amount}[/tex],
[tex]r=\text{Interest rate in decimal form}[/tex],
[tex]t=\text{Time in years}[/tex].
Let us convert our given interest rate in decimal form and time in years.
[tex]13\%=\frac{13}{100}=0.13\\\text{9 months}=\frac{9}{12}\text{ year}=\frac{3}{4}=0.75\text{ year}[/tex]
Upon substituting our given values in interest formula we will get,
[tex]I=\$1058*0.13*0.75[/tex]
[tex]I=\$103.155\approx \$103.16[/tex]
Therefore, the amount of interest paid by $103.16.
B. Since total payment will be equal to interest rate plus amount of interest.
[tex]\text{Total payment}=\$1058+\$103.16[/tex]
[tex]\text{Total payment}=\$1161.16[/tex]
Therefore, Devin's total payment will be $1161.16.
C. To find the monthly payment we will divide total amount by 9.
[tex]\text{The monthly payment}=\frac{\$1161.16}{9}[/tex]
[tex]\text{The monthly payment}=\$129.01722\approx \$129.02[/tex]
Therefore, the amount of Devin's monthly payment is $129.02.
tony began putting together a rectangular puzzle.he completed the top edge and left edge of the puzzle, each piece is a square that has a side length of 2 1/2 centimeters
is 4 yards bigger than 13 feet
The common denominator of 3/4 and 9/10
Randall is going to the grocery store. It is 3 3/5 miles from his house. He walks 2 2/5 miles before it starts to rain. How far will he have to walk in the rain?
y=f(x)=(1/3)^x find f(x) when x=2 express as a decimal rounding to the nearest thousandth
(I NEED THIS ANSWERED IMMEDIATELY. IT'S WORTH 15 POINTS!!!!!
Write a ratio the situation in three ways comparing the first quantity to the second quantity. A zoo has 14 monkeys and 18 chimpanzees.
A zoo has 14 monkeys and 18 chimpanzees.
To write the ratio of numbers x and y we use three ways given below
1. x to y
2. x : y
3. [tex] \frac{x}{y} [/tex]
Now write the ratio in three ways comparing 14 monkeys and 18 chimpanzees.
Let x be the number of monkeys
y be the number of chimpanzees
So ratio becomes
14 to 18
14 : 18
[tex] \frac{14}{18} [/tex]
Peyton has 2 pizzas. Each pizza is cut into 10 equal slices. She and her friends eat 14 slices. What part of the pizzas did they eat?
70% part of the pizzas they ate.
What is percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Given, Peyton has 2 pizzas. Each pizza is cut into 10 equal slices.
Thus, total slices of pizza = 10 *2
total slices of pizza = 20
Since, She and her friends eat 14 slices.
Thus,
Percentage of pizza they eat = 14/20*100
Percentage of pizza they eat = 14*5
Percentage of pizza they eat = 70%
Therefore, Alex and her friends Eat 70% of the pizza.
Learn more about percentages here:
https://brainly.com/question/29306119
#SPJ2
which answer is a reasonable estimate to the following problem? 94.689
Jorden drives to the store at 30 miles per hour. On her way home she averages only 20 miles per hour. If the total driving time takes half an hour, how far does she live from the store?
Answer:
Rate column: 30, 20.
Distance column: x miles for both.
Step-by-step explanation:
Jorden drives to the store at 30 miles per hour. On her way home she averages only 20 miles per hour. If the total driving time takes half an hour, how far does she live from the store?
Fill out the Rate column in the table below.
a = 30
b = 20
Fill out the Distance column.
c = x miles
d = x miles
basically: 30, 20 for first question. x miles for both second
evaluate r s + 14s when r= 6 and s= 1/4
Partition a number line from 0 to 1 into fourths.Decompose 3/4 into 6 equal lengths.
Final answer:
To partition a number line into fourths, divide it into four equal segments, with each representing 1/4. To decompose 3/4 into 6 equal lengths, divide 3/4 into six parts where each part is 1/8 of the whole.
Explanation:
Partitioning a Number Line into Fourths and Decomposing Fractions
To partition a number line from 0 to 1 into fourths, you would divide the line into four equal segments. Each segment represents a value of 1/4. Now, to decompose 3/4 into 6 equal lengths, realize that each 1/4 is being divided into two parts (since 6 divided by 3 equals 2), which means each part is 1/8 in length. Therefore, 3/4 divided into 6 equal lengths gives us 6 segments, each of length 1/8.
Step-by-Step Solution
Draw a number line from 0 to 1.
Mark off four equal lengths between 0 and 1, each representing 1/4.
Find 3/4 on the number line. It is three of these fourths.
Divide each fourth into two equal lengths to decompose 3/4 into 6 equal parts.
Mark these new lengths on the number line, showing that each length is 1/8.
Assume Triangle EFG equals triangle JKL
Describe the relationship that must exist between a, b, and c in the equation ax^2+bx+c=0 in order for the equation to have exactly one solution
A hacker is trying to guess someone's password. the hacker knows (somehow) that the password is 6 digits long, and that each digit cound be a number between 0 and 8. assume that the hacker makes random guesses. what is the probability that the hacker guesses the password on his first try? round to four decimal places.
The probability that the hacker guesses the password on his first try is 0
How to determine the probability?The password is given as:
Password = 6 digit long
The usable numbers are:
Digits = 0 to 8 i.e. 9 digits
If the digits can be repeated, then the number of passwords is:
Password = 9^6
Evaluate the exponent
Password = 531441
The probability that the hacker guesses the password on his first try is
P = 1/531441
Evaluate
P = 0.00000188167
Approximate
P = 0.0000
Hence, the probability that the hacker guesses the password on his first try is 0
Read more about probabilty at:
https://brainly.com/question/24756209
#SPJ9
The probability of guessing the password on the first try is 0.000001881.
Explanation:To calculate the probability of guessing the password on the first try, we need to determine the number of possible passwords and divide it by the total number of possible guesses. In this case, the password is 6 digits long and each digit can be a number between 0 and 8.
So, there are 9 possible digits for each of the 6 positions, giving us a total of 9^6 = 531441 possible passwords.
The hacker makes random guesses, so there are 9^6 = 531441 possible guesses they can make.
The probability of guessing the password on the first try is therefore 1/531441 = 0.000001881, rounded to four decimal places.
what is the explicit rule for the following sequence -10 - 12 -14 -16
You build and sell toy cars $36 each. So far you have built 24 toy cars how many more toys cars will you have to build and sell to earn 1,620?
Describe two different sequences of transformations that will map ABCD to EFGH.
Answer:
The orientation of the figure has been changed by 90°, but the points are not all rotated around the same center. Translation is involved.
Translation before rotation:
.. translate down 5 units
.. rotate counterclockwise 90° about the origin
Translation after rotation:
.. rotate counterclockwise 90° about the origin
.. translate right 5 units
This can also be accomplished by a double reflection.
.. reflect across the line y=x
.. reflect across the line x=2.5
Or,
.. reflect across the line y=2.5
.. reflect across the line y=x
Step-by-step explanation:
please mark this answer as the brainlest