Imagine we drew a line from the centre (2,0) to the point (0,4).
Essentially the line we drew from the centre to that point on the circle is perpendicular to the tangent line slope-wise.
The slope of that line from the centre to the point is -2 based on the slope's equation or formula.
slope = [tex]\frac{y2-y1}{x2-x1}=\frac{4-0}{0-2} =-2[/tex]
Therefore the tangent equation's slope is 1/2 since any perpendicular line's slope is the negative reciprocal of the original line's slope.
By using the point-slope form, we must have the point on the tangent plane (0,4) and the slope we found which is 1/2.
[tex]y - 4 = \frac{1}{2}(x-0)\\ y= \frac{1}{2}x + 4[/tex]
Hope that helps!
choose the name of highlighted part
You have decided to purchase a car for $25,625. the credit union requires a 10% down payment and will finance the balance with a 9% annual interest loan for 36 months. the sales tax in your city is 7.5%, and the license and title charges are $175.13. what is the total purchase price of the car including tax, license, and title? round your answer to the nearest cent. a. $24,949.80 c. $27,722.01 b. $24,967.32 d. $27,735.14
The total purchase price of the car including tax, license, and title $27,722.01.
The purchase price of a car is $25,625 the credit union requires a 10% down payment and an annual interest 9% loan for 36 months. The sales tax is given 7.5%, and the license and title charges are $175.13.
What is the total sale?The total sale is the product of the selling price and one plus the sales tax rates.
Total sale = selling price × (1 + sales tax rate)
The price of the car including tax
= $25,625 × (1 +7.5%)
= $27,546.88
By adding license and title charges to the amount, we get
= $27,546.88 +175.13
= $27,722.01
Hence, The total purchase price of the car including tax, license, and title $27,722.01.
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What is the difference between a metric and a norm?
Answer:
A norm and a metric are two different things. .
Step-by-step explanation:
The norm is measuring the size of something, and the metric is measuring the distance between two things. A metric can be defined on any set . It is simply a function which assigns a distance (i.e. a non-negative real number) to any two elements .
The major difference between the matric and norms is that metric is a unit of measurement that measures the distance between two objects. The size of a single thing is measured by a norm.
What is measurement?It is defined as the numerical quantity that gives an idea about an object's size, length, width, and many more. It can be used to compare two objects.
The major difference between metrics and norms is as follows:
A metric is a unit of measurement that measures the distance between two objects. The size of a single thing is measured by a norm.Metrics may be expressed on almost anything, however, a norm can only be defined on vector spaces but since the definition of a norm requires that the things measured by the norm be added and scaled.Thus, the major difference between the matric and norms is that metric is a unit of measurement that measures the distance between two objects. The size of a single thing is measured by a norm.
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A movie director needs to purchase 325 films. The film has a volume of 965 in', and the density of each film is 7.6 g/in?. Each film can be purchased for $0.34 per kilogram. What is the cost of the films?
The volume of the films is the amount of film in the case
The cost of the films is $810.41
How to determine the cost of the films?The given paramerers are:
Volume = 965 cubic inchesDensity = 7.6 gram per cubic inchesThe mass of the films is calculated as:
Mass = Density * Volume
This gives
Mass = 7.6 * 965 g
Evaluate
Mass = 7334 g
Express as kg
Mass = 7.334 kg
The unit cost is:
Unit cost = $0.34 per kilogram
The number of films is
n = 325
So, the total cost
Total = 325 * 0.34 * 7.334
Evaluate
Total = 810.41
Hence, the cost of the films is $810.41
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Please somebody help me
Answer:
I believe the answer is 0.35
Step-by-step explanation:
We know the total is 0.7 miles. We can assume he went back and forth only once. So divide by 2 and you get 0.35 miles
I don’t know if I’m right
Answer:
A: geometric; 4 times
B: arithmetic: 4 more
Step-by-step explanation:
An arithmetic model is a linear model, where the rate of change is constant. Growth or decay is by a constant amount from one interval to the next.
A geometric model is an exponential model, in which the rate of change is proportional to the amount. Growth or decay is by a constant factor from one interval to the next.
__
A)The equation for the sequence is given in "explicit" form:
[tex]A_n=2^{2n}[/tex]
The exponent can be split so this can be rewritten as ...
[tex]A_n=(2^2)^n=4^n[/tex]
If this were written in recursive form, it would look like ...
[tex]A_0=1,\ A_n=4\times A_{n-1}[/tex]
The fact that terms are related by a constant factor tells you the model is geometric. The factor tells you each hour the population is 4 times what it was in the previous hour.
__
B)The given equation is in "recursive" form. It tells you each term is 4 more than the previous one. This constant difference between terms means the model is arithmetic.
_____
Additional comment
In general, words like "more" or "increase" refer to addition, and the words "times" or "factor" refer to multiplication.
27x+9y+3 name the coefficients
HIRRY AND HELP
Answer: 27 and 9
Step-by-step explanation:
Coefficients are the numbers in front of variables. Since the variables are x and y, then the coefficients are 27 and 9.
Hello!
Please remember that
A coefficient is a number before a variable.What is a variable?
A variable is a letter (like x)So a coefficient is basically a number before a letter (like 27x)
Hence, the coefficients are
[tex]\boxed{\boxed{\bold{27~and~9}}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
:-)
Please help graph this inequality
Answer:
View attached graph
Step-by-step explanation:
Hope it helps!
Please help I'll mark brainliest.
Answer:
Step-by-step explanation:
10
12
8
13
13
7
6
12
9
10
11
9
120
Total = 120
Number of entrees = 12
Mean = 120 / 12
Mean = 10
Find only C please i don't need A or B
Pls help i will give 5 starts and brainliest question is down below 9:22
Answer:
r, p, q
Step-by-step explanation:
Answer:
#30 is 8.40 B)
#31 is R P Q A)
Step-by-step explanation:
four friends earned $5.20 for washing a car They shared the money equally how much did each friend get.
Answer:
$1.30
Step-by-step explanation:
We need to figure out how much each friend gets out of the 5.20 so we will have to divide :)
5.20/4 = $1.30
Have an amazing day!!
Please rate and mark brainliest!!!
Pls Help Me I will Mark the Brainiest
Answer:
arc AD = 126°
Step-by-step explanation:
the inscribed angles ABD and ACD are half the measure of their intercepted arc AD
then ∠ ABD and ∠ ACD are congruent , so
11x - 3 = 8x + 15 ( subtract 8x from both sides )
3x - 3 = 15 ( add 3 to both sides )
3x = 18 ( divide both sides by 3 )
x = 6
then
∠ ABD = 11x - 3 = 11(6) - 3 = 66 - 3 = 63° , thus
arc AD = 2 × 63° = 126°
Please help quick!!!!!!!!!!!!!!!!!!!!
[tex]\large\sf\underline{ANSWER:}[/tex]
23.) ax²-a
a(x²-1)
a(x+1)(x-1)
24.) 2x²-5x+3
2x²-3x-2x+3
(2x²-3x)+(-2x+3)
x(2x-3)-(2x-3)
(2x-3)(x-1)
25.) xy²+8xy+15x
x(y²+8y+15)
x(y²+3y+5y+15)
x((y²+3y)+(5y+15))
x(y(y+3)+5(y+3))
x(y+3)(y+5)
#[tex]\large\sf\underline{CarryOnLearning}[/tex]
helppppppppppp!
do not send links.
Answer:
0.8-0.6=0.2 or 1/5, one fifth.
Step-by-step explanation:
hope this helps
Find the smallest number by which 350
must be multiplied to give a perfect square.
Answer:
the smallest number by which 350 by answer is 15
A line has a zero slope and passes through the point (4,-9). What is the equation of the line?
(No links please, just a simple answer)
keeping in mind that a line with a slope of "0" is a horizontal line, Check the picture below.
You find a ring at a garage sale and purchase it for $2. Explain how you could use a simple balance and graduated cylinder to determine if it is made of gold or if it’s a fake.
Density of water is 1000kg/m^3
Gold should sink downIf yes then it's pure goldWhat is the solution to the equation?
4x + 6 = 18
A. x= -6
B. x= 3
o
C. x = 6
C
D. X=
MIN
4x + 6 = 18
-6 is solution ?
4 * (-6) + 6 = 18 ?
-24 + 6 = - 18
so not the solution
3 is solution ?
4 * 3 + 6 = 18 ?
4 * 3 + 6 = 12 + 6 = 18
YES
Answer:
B. [tex]\displaystyle x = 3[/tex]
Step-by-step explanation:
[tex]\displaystyle 18 = 6 + 4x \hookrightarrow \frac{12}{4} = \frac{4x}{4} \\ \\ \boxed{3 = x}[/tex]
I am joyous to assist you at any time.
PLEASE ANSWER QUICKLYY IK ITS TEDIOUS CUZ THERES A LOT BUT MATH EXPERTS, HELP
Step-by-step explanation:
i answered these 3 already.
(Little tricky; worth extra points )
Which series of transformations shows that pentagon A is congruent to Pentagon B?
A. Reflect pentagon A over the y-axis, rotate it 180 degrees clockwise about the origin, and translate it 3 units up
B. Rotate pentagon A 90 degrees clockwise about the point (1,1) reflect it over the x-axis, and translate it 3 units to the left.
C. Rotate pentagon A 90 degrees clockwise about the origin, reflect it over the x- axis, and translate it 6 units to the left.
D. Reflect pentagon A over the y-axis and translate it 2 units to the left and 8 units up.
Answer:
i am pretty sure it's A or B
Step-by-step explanation:
hope this helps
→(·°ω°·)←
Point X is located at 11 on the number line. Point Y is 5 less than point X. Where on the number line is point Y?
Answer:
6
Step-by-step explanation:
If you draw out a number line, and a little tick for each number, X will be on the 11 mark (I'll try to do a little thing here)
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
The 11 is where X is
The question says that point Y is 5 LESS than point X, so we want to go down 5 numbers.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16f
(6 is 5 less than 11)
So the point Y will be on the 6
answer fast its a test q.
based on the statement is true?
Answer:
the right answer is F (exterior angle of triangle is equal to its sum of opposite interior angle of a traingle)
Answer: W = 40 degrees.
Step-by-step explanation: When you're finding a missing interior angle, all you need is the angle measurements of the other two angles. According to the picture, we have two 70's given, which both add up to 140. All the interior angles of a triangle need to add up to 180, and we have 140 so far. That's where the missing angle comes in. When you subtract 140 from 180, you get 40, which is your missing angle.
Let me know if this is right! :)
10. Which expression is equivalent to 4
(4-3)*(4042)* ?
பமccee
A.
4-4
В.
4 3
C
413
D.
4 14
Answer:
C Because the evolution of wasted numbers is incorrect
Theo is a cleaner,
The table shows information about the time it will take him to clean
each of four rooms in a house,
Theo wants to clean all four rooms
Room
Time
in one day
Kitchen 1 hour 50 minutes
He will have breaks for a total time
of 85 minutes,
Lounge 55 minutes
Theo is going to start cleaning at 9 am,
Bedroom 1 1/2 hours
What time will he finish cleaning?
Bathroom
35 minutes
Step-by-step explanation:
1 hour 50 minutes = 110 mins
1 1/2 hours = 90 mins
add all these:
110
90
85
55
35
when you add all these you get 375
every hour has 60 minutes
375 ÷ 60 = 6.15
if he starts at 9 am and he cleans for 6.15 hours he will be finished by 3:15pm.
Based on the number of minutes Theo will take to clean the various rooms, and the time he will take to rest, he will finish cleaning at 3:15 pm.
What time will Theo finish cleaning?The best thing to do here is to convert all the minutes to decimals. This would make adding them up easier.
Kitchen = 1 hour 50 minutes = 1 + 50/60 = 1.833 hours
Lounge = 55 minutes = 55/60 = 0.916 hours
Bedroom = 1.5 hours
Bathroom = 35 minutes = 35/60 = 0.583
Breaks = 85 / 60 = 1.417
Add them up:
= 1.833 + 0.916 + 1.5 + 0.583 + 1.417
= 6.249 hours
= 6 + (0.249 x 60 minutes)
= 6 hours 15 minutes
The time he will finish is:
= 6 hours 15 + 9
= 1515 hours
= 3:15 pm
Find out more on operations involving time at https://brainly.com/question/1040096.
What is 7 / 27 as a decimal rounded to 3 decimal places?
Answer:
0.259
Step-by-step explanation:
7/27 = 0.25925926
Rounded to 3 decimal places = 0.259
hope this helps!! p.s. i really need brainliest :)
Help to solve the equation
Answer:
n = -1.25
Step-by-step explanation:
S(ABCD) = AB × AD
S(ABCD) = 2n × (4n + 5)
S(ABCD) = CD × AD
2n × (4n + 5) = CD × (4n + 5)
n = -1.25
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What value of x makes this inequality true?
x - 16 < 43
Answer:
read below
Step-by-step explanation:
x - 16 < 43
there are many values that can make it true
pretty much any number that can have 16 subtracted from it and be less than 43 will work.
or any number less than or equal to 43.
for example:
34-16<43
↓
18 < 43
Find the volume of the prism.
Answer:
210 cm^3
Step-by-step explanation:
To find the volume of a regular we use the following formula:
l*w*h (l: length, w: width, h: height)
6*5*7 = 210 the volume is expressed with cm^3 so the answer is 210 cm^3
Michele's credit card had a balance of $579. 53 on August 1. On August 8, she made a payment of $500. On August 16, she made a charge of $200. On August 24, she made another charge of $350. What was her average daily balance?
By taking the average of her balance of each day of August, we will see that the average daily balance is $373.08
What was her average daily balance?
We know that:
On August 1, her balance was $579.53On August 8, her balance was $579.53 - $500 = $79.53On August 16, her balance was $79.53 + $200 = $279.53On August 24, her balance was $279.53 + $300 = $579.53So, first, her balance is $579.53 for 7 days. Then her balance is $79.53 for 8 days, then her balance was $279.53 for another 8 days, and finally, her balance was $579.53 for the last 8 days of august.
Then over the 31 days of August, the average daily balance will be:
[tex]A = \frac{7*579.53 + 8*79.53 + 8*279.53 + 8*579.53}{31} = 373.08[/tex]
So in August, her average daily balance was $373.08
If you want to learn more about averages, you can read:
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