Answer:
y = x - 5
Point Slope form: y + 8 = 1 (x + 3)
Step-by-step explanation:
(-3,-8) and (-7,-12)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ -12 - (-8) -12 + 8 -4
m = ------------ = --------------- = -------------- = -------- = 1
x₂ - x₁ -7 - (-3) -7 + 3 -4
y - y₁ = m(x - x₁)
y - (-8) = 1(x - (-3))
y + 8 = x + 3
-8 -8
---------------------
y = x - 5
I hope this helps!
Natasha is taking out a three week payday loan for $400. He will be charged with $70 interest for a 3 week loan. What is the APR (annual percentage rate) for this loan rounded to the nearest percent?
If Natasha is taking out a three week payday loan for $400. He will be charged with $70 interest for a 3 week loan. the APR (annual percentage rate) is $304.2
How to calculate the annual percentage rate (APR)?Using this formula to determine the annual percentage rate
APR = [(( interest/principal)/number of days )×365]×100
Principal = $400
Interest = $70
Number of days = 3 weeks = 21 days
Let plug in the formula
APR = [(( 70 / 400)/ 21) ×365 ] ×100
APR = 0.008333 x 365 × 100
APR = 304.166
APR = 304 .2 (Approximately)
Therefore the APR is $304.2.
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Find the length of the arc of a circle of radius 5 inches subtended by a central angle of 220 degrees. Round your answer to the nearest hundredth.The length of the arc is Answer inches.
Given:
a circle of radius = r = 5 inches
We will find the length of the arc subtended by a central angle of 220 degrees
We will use the following formula:
[tex]arc\text{ }length=\theta *\frac{\pi}{180}*r[/tex]Substitute with r = 5, and θ = 220
So, the langth of the arc will be as follows:
[tex]220*\frac{\pi}{180}*5=19.19862[/tex]Rounding to the nearest hundredth
So, the answer will be the length of the arc = 19.20 inches
Which of the quotients are equivalent to 5? Select all that apply.
Justin has 71 newspapers to deliver in 3 days. He
delivers the same number of newspapers each day.
How many newspapers does Justin deliver each day
How many newspapers are left over?
the product of (5ab) and (- 2a^2 b)^3
The product expression (5ab) x (- 2a²b)³ has a value of -40a⁷b⁴, when evaluated
How to determine the product of the expressions?The expressions are given as
(5ab) and (- 2a^2 b)^3
This means that
The product expression is the product of (5ab) and (- 2a²b)³
Rewrite the expression as:
(5ab) x (- 2a²b)³
Open the brackets in the above expression
So, we have
(5ab) x (- 2a²b)³ = 5ab x (-2)³ x (a²)³ * (b)³
Evaluate the exponents
So, we have
(5ab) x (- 2a²b)³ = 5ab x (-8) x a⁶ * b³
Evaluate the products of the variables
This gives
(5ab) x (- 2a²b)³ = 5a⁷b⁴ x (-8)
Evaluate the other products
This gives
(5ab) x (- 2a²b)³ = -40a⁷b⁴
Hence, the value of the product expression is -40a⁷b⁴
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Annabelle wanted to find the y value for when x is 0 (y intercept). Here are her steps. Did Annabelle make a mistake? If so, which one? If not, indicate that as well
Answer:
Step-by-step explanation:
Annabelle did not make a mistake. you have to substitute 0 in for x then dived the equation by 2 giving you the answer of 4. She is correct. A rockstar as the answer says. :) hope this helped!
======================================================
Reason:
She wants to find the y value when x = 0. This is why she replaced every copy of x with 0. Step 1 is correct.
Step 2 is also correct because 3 times 0 is 0. She multiplied correctly.
Step 3 is correct because she needs to undo the "2 times" that is applied to y, in order to isolate it. Division is the inverse operation of multiplication.
Step 4 is correct because 8/2 is 4
Every step she did is correct, and so is the final answer.
------------
Here's one way Annabelle could check her work
3x+2y = 8
3*0+2*4 = 8 .... plug in x = 0 and y = 4
0 + 8 = 8
8 = 8
We get the same thing on both sides, which confirms that x = 0 pairs up with y = 4. In other words, (x,y) = (0,4) is a solution to 3x+2y = 8.
The point (0,4) is on the line 3x+2y = 8. This point is the y intercept where the graph crosses the y axis.
Find the coordinates of the vertices of the image: rotate pre-image QRST 90° clockwise.
-2,-1
1,-3
3,3
0,2
Answer:
T(2,-1)
Q(3,1)
S(0,-2)
R(3,-3)
Choose all equations that are NOT true.
350x10³=36,000
0.36x100=3,600
360x10¹ =36.0
0000
0.036x1,000=36
36x10¹ = 36
Answer:
They're all false??? Do them on a calculator!
The formula shown can be used to find A, the amount of money Ricardo has in his savings account.
A
=
P
+
P
r
t
Ricardo wants to find r, the rate of interest his money earns. Which equation is correctly solved for r?
Simple interest is the interest calculated on the principal at a given rate for a time period.
The equation used to solve for the rate of interest r is r = (A/P - 1) / t.
What is simple interest?It is the interest calculated on the principal at a given rate for a time period.
We have,
A = P + Prt ______(1)
A = amount
P = principal
r = rate
t = time in years
To find the rate of interest we will have to solve (1).
A = P + Prt
A = P (1 + rt)
A/P = 1 + rt
Subtract 1 on both sides.
A/P - 1 = rt
Divide t on both sides.
(A/P - 1) / t = r
r = (A/P - 1) / t
Thus,
The equation used to solve for the rate of interest r is r = (A/P - 1) / t.
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why is the central limit theorem so important to the study of sampling distributions? group of answer choices it allows us to disregard the shape of the sampling distribution when the size of the population is large. it allows us to disregard the shape of the population when n is large. it allows us to disregard the size of the sample selected when the population is not normal. it allows us to disregard the size of the population we are sampling from.
Answer:
It allows us to disregard the shape of the population when n is large.
Step-by-step explanation:
When the sample size is large it gets close to a normal distribution regardless of the actual distribution shape of the population.
If the cost of buying three sodas and a candy bar are given by the expression 3c + 1.50, where c is the cost of a soda can.
What is an equivalent expression to the cost?
Select ALL that apply.
Select all that apply
A1.50 +3c
B (0.50 + c)3
C 3.50c +1
D 3(c+0.50)
E 4.50c
Answer: A, B, D
Step-by-step explanation:
1) Find all expressions that will result in 3c + 1.50
A) 1.50 + 3c
= 3c + 1.50
Yes!
B) (0.50+c)3
=1.5+3c
= 3c + 1.50
Yes!
C) 3.50c + 1
No!
D) 3(c+0.5)
=3c+1.50
Yes!
E) 4.50c
No!
Answer:
Step-by-step explanation: A,B,D
3 ratios equivalent to 6:10
Answer:
20:12 32:50 24:40 3:5 14:40
The table below shows the number of miles Tony ran and the calories he burned per mile.
CALORIES BURNED
PER MILE
Miles
OB 200
OC. 240
Celories
Which number completes the table?
O A 160
D. 180
60
2
The required number of calories burned at the 4 miles of running is 160 calories. Option A is correct.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
The rate of the calorie burning per mile = 40 calorie/mile,
For the running of the 4 miles,
Calorie burned at 4 mile of running = 40 (4) = 160 calories,
Thus, the required number of calories burned at the 4 miles of running is 160 calories.
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Jana and Jenn are training to run a marathon. Jana runs 3 miles in 1/3 of an hour. Jenn runs 5 miles in 3/4 of an hour.
(A) Who runs faster?
(B) what is Jana’s speed in feet per hour?
(C) what is Jana’s speed in feet per minute?
Using proportions, it is found that:
a) Jana runs faster, due to the higher velocity.
b) Jana's speed is of 47,520 feet per hour.
c) Jana's speed is of 792 feet per minute.
What is a proportion?A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using relations with operations such as multiplication and division.
One example of the application of proportions in this problem is for the relation between velocity, distance and time, as velocity is distance divided by time, that is:
v = d/t.
Hence the velocities in this problem are given as follows:
Jana: 3/(1/3) = 3 x 3 = 9 miles per hour.Jenn: 5/(3/4) = 5 x 4/3 = 6.7 miles per hour.Due to the higher velocity, Jana runs faster.
Another application of proportions is for conversion of units. Each mile has 5280 feet, hence Jana's speed in feet per hour is given by:
9 x 5280 = 47,520 feet per hour.
Each hour has 60 minutes, hence Jana's speed in feet per minute is given by:
47520/60 = 792 feet per minute.
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The time it takes to read 5 pages of a book can be represented with the equation y equals 4.5 divided by 5 times x, where y represents the total time in minutes and x represents the number of pages read.
Determine how long it will take to read a book that has 218 pages.
Time take to read a book that has 218 pages is 196.2
According to the question, given that
Time takes to read 5 pages of a book can be represented equation y equal to 4.5 divided by 5 times
where y represents the total time in minutes and x represents the number of pages read
Time take to read a book that has 218 pages.
x = [tex]218*\frac{4.5}{5}[/tex]
= [tex]\frac{981}{5}[/tex]
= 196.2
Therefore, we get time 196.2 to read a book that has 218 pages.
Depending on which values you input into the reading time , you can find out:
- How much time per day should you allocate to finish in x days;
- How much time does it take to read this book
- What the total reading time will be (in hours);
- How many pages you'll be able to read in a given time; and
- How fast you should read to finish this book on time.
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Answer:
Time take to read a book that has 218 pages is 196.2
Step-by-step explanation:
−5 1/3÷2 3/4 PLEASE HELP MEEEEEEEEEEEEEEEEEEEEE
Answer:
[tex]\sf -1\dfrac{31}{33}[/tex]
Step-by-step explanation:
Fraction division:
First convert mixed fraction to improper fraction.[tex]\sf -5\dfrac{1}{3}=\dfrac{-16}{3}\\\\\\2\dfrac{3}{4}=\dfrac{11}{4}[/tex]
Use KCF method. Keep the first fraction. Change division to multiplication and flip the second fraction.[tex]\sf \dfrac{-16}{3} \ \div \ \dfrac{11}{4}=\dfrac{-16}{3}*\dfrac{4}{11}[/tex]
[tex]\sf = \dfrac{(-16)*4}{3*11}\\\\=\dfrac{-64}{33}\\\\[/tex]
Now, convert improper fraction to mixed fraction.[tex]\sf = -1\dfrac{31}{33}[/tex]
Answer: -64/33 or -1 31/33
Step-by-step explanation:
First, whenever you are dividing mixed fractions we always convert them to an improper fraction, so let’s do that first.
We multiply the whole number to the denominator and then add that number to the numerator.
-5 1/3
This would be (-5*3) + -1(note that since it’s a negative number, we would have to subtract this
= -16, and add the original denominator 3 also, so it’s -16/3
Do the same for 2 3/4
(2*4) + 3 = 11
11/4
(-16/3) / (11/4)
Now to convert this expression into multiplication, we use the reciprocal(flipped version) of the divisor
11/4 would become 4/11
Which makes the expression:
(-16/3) * (4/11)
Now just multiply the denominators with each other and the numerators
-16*4 = -64
3*11 = 33
Your answer would be -64/33 or in mixed fraction form, -1 31/33
f(x)=x²-8x + 15.
Graph
Answer:
Vertex (4,-1)
Axis Symmetry: x=4
x: 2,3,4,5,6
y: 3,0,-1,0,3
Step-by-step explanation:
The download is the graph
The equation 2x^2 - 3x - (k+1)=0 where k is a constant has no real roots. Find the set of possible values of k
The set of possible values of k is (-17/8, ∞).
What are the conditions for a quadratic equation not to have real roots?
A quadratic function has no actual roots and the parabola it represents does not intersect the x-axis if its discriminant is less than zero.
What is the discriminant of a quadratic equation?
A polynomial's discriminant is a function of its coefficients and is denoted by a capital "D" or the symbol for the delta (Δ). In any quadratic equation where a, b, and c are rational numbers, it demonstrates the nature of the roots. With a quadratic equation, the real roots or the number of x-intercepts are easily demonstrated. This equation is used to determine if the quadratic equation's roots are real or imaginary.
For a quadratic equation as ax² + bx + c = 0, the discriminant is
Δ = b² - 4ac
Given, the quadratic equation is 2x² + (-3)x + (-1 - k) = 0
Comparing this to the standard form of quadratic equation, the value of the discriminant is: Δ = b² - 4ac = (-3)² - 4(2)(-1 -k) = 9 + 8(k + 1) = 17 + 8k
Following the condition established in the literature above, Δ<0
Therefore, 17 + 8k < 0 ⇒ 17 < -8k ⇒ k > (-17/8)
Thus, the set of possible values of k is (-17/8, ∞)
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Write an inequality for the word phrase: A number less than 12 is more than "-16"
Explanation:
x = some unknown number
"A number less than 12" translates to x < 12
This number x is also more than -16, so x > -16 which is the same as -16 < x
Combine -16 < x with x < 12 to end up with -16 < x < 12
x is between -16 and 12, excluding both endpoints.
A number line diagram might help picture what is going on.
Answer:
-16<x< 12
Step-by-step explanation:
it's simple algebra. -16 is less than x which x is less than 12. X is more than -16 but less than 12
Suzanne completed a 1500-piece jigsaw puzzle in 4 hours 10 minutes. What was her average speed in pieces per minute?
ANSWER: 150
EXPLANATION
Based on the given conditions, formulate: 1500 divided 10
Cross out the common factor: 150
get the result: 150
Answer: 150
your welcome
Find LCM and HCF by applying the prime factorization 17,23,29
LCM of 17, 23, 29 = 11339
HCF of 17, 23, 29 = 1
How to find LCM and HCF by prime factorization?
The numbers 17, 23, 29 are prime numbers themselves.
By prime factorization we consider only the prime factors.
LCM of 17, 23, 29 = 17 ×23 ×29 (Since the numbers are prime)
=11339
HCF of 17, 23, 29 = 1 (Since the common factor is 1)
What is prime factorization?
Writing all numbers as the product of primes is a procedure known as prime factorization. It entails determining which prime numbers combine to produce the original number.Exactly two elements, 1 and the number itself, define a prime number. It is the process of dissecting a number into the prime numbers that help the number when multiplied come into existence.To learn more about prime factorization, refer:
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Please help, i cant figure it out.
Answer:
this can be impossible
Step-by-step explanation:
Carly is traveling to visit family. She drives x miles on the first day and y miles on the second day for a total of 800 miles.
The domain and range are [0, 800] and [0, 800], respectively.
Carly is travelling to visit her family.The distance driven by her on the first day is "x" miles.The distance driven by her on the second day is "y" miles.She drives a total distance of 800 miles.The sum of the distances travelled on the two days is equal to 800 miles.x + y = 800y = 800 - xWe need to find the domain and the range.The values satisfied by "x" are in the domain.The values satisfied by "y" are in the range.The value of "x" can be a minimum of zero and a maximum of 800.The value of "y" can be a minimum of zero and a maximum of 800.The domain is [0, 800].The range is [0, 800].Complete question: Carly is traveling to visit family. She drives x miles on the first day and y miles on the second day for a total of 800 miles. What are the domain and range of this relationship?
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PLEASE HELP ASAP!! 30 POINTS FOR ANSWERS!!
Answer:
Step-by-step explanation:
describe the single transformation that maps the graph of y=√8x^3+1 onto the graph of y=√x^3+1
The graph of y is vertically compressed by an factor of √8 which is the transformation of the function.
The important technique of altering an existing graph or graphed equation to create a different version of the following graph is known as graph transformation. In particular, the change of the various algebraic equations which is a particular kind of algebraic problem.
A translation is a geometric change in Euclidean geometry that involves moving each point in a figure, shape, or space by the same amount in one direction. A translation can also be thought of as moving the origin of a coordinate system or as adding a constant vector to each point. Any translation in a Euclidean space is an isometry.A geometric object is translated vertically, also known as vertically shifting, when it moves parallel to the y axis of a Cartesian system of coordinates.The base or parent function is y=√8x³+1.
Here the transformed function is y= x³+1.
Therefore the graph is vertically transformed by the factor of √8 .
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utilizand ciurul lui erastone gasiti toate mr prime mai mici decat 100
Answer: 100
Step-by-step explanation:
385 dollars is cut into three parts, one part is 5 times bigger, the other is $35 more how much money is in each part
so the first part is p
the second part is 5p
the third part is p+35
all together, you have 7p + 35 = 385
so 7p = 350, so p = 50.
so the first part is 50, the second part is 250, and the third part is 85. together they make 385!
Which equation applies the associative property of multiplication?
The correct option is (1.)
i.e., (-9/4 . 3/2) . (6/3 . 5/7) = -9/4 . (3/2 . 6/3) .5/7
Associative Property of Multiplication:
Associative property is defined as, when more than two numbers are added or multiplied, the result remains the same, irrespective of how they are grouped.
To find the which equation applies the associative property of multiplication?
Now, According to the question:
1. (-9/4 . 3/2) . (6/3 . 5/7) = -9/4 . (3/2 . 6/3) .5/7
Identity Property used
Associative Property of Multiplication
2. -6/5 (5/3 - 1/4) = (-6/5 - 5/3) - 1/4
Identity Property used
No Property.
3. (-1/2 . 4/7) + (-1/2 . 2/3) = -1/2 . (4/7 + 2/3)
Identity Property used
No Property
4. 8/9 . 7/4 (-5/8) = 8/9 . (-5/8) . 7/4
Identity Property used
Commutative Property of Multiplication.
Hence, The correct option is (1.)
i.e., (-9/4 . 3/2) . (6/3 . 5/7) = -9/4 . (3/2 . 6/3) .5/7
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What is 7 times 56+89-45+72=
Answer:
508
Step-by-step explanation:
Answer:
Step-by-step explanation:
56x7=392+89=481-45=436+72=508
Order the numbers from least to greatest. PLEASE HELP
Answer:
22/7, _/32/3, 3.3, _/11
Step-by-step explanation:
