The distance between the points is 2: x2 - x1 = -6 + 8. So, the midpoint would be located on a point that is half of this distance from both points.
2/2 = 1
-6 - 1 = -7
-8 + 1 = -7
-7 has a distance of 1 from both -8 and -6, so this is the midpoint.
Please help me!
Find the value of x
The value of x is 15.
What is Isosceles Triangle Theorem?The isosceles triangle theorem asserts that if two sides of an isosceles triangle are equal, then the angles opposite the equal sides will likewise be equal.
Given:
The given angles are:
∠WYX = (4x - 2)°
∠WXY = 62°
The length of side WX = 8
The length of side WY = 8
So, WX = WY = 8, hence it is an isosceles triangle.
By Isosceles Triangle Theorem,
∠WYX = ∠WXY
(4x - 2)°= 62°
4x = 62° - 2°
x = 60/4
x = 15
Therefore, the value of x is 15.
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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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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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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.
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
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 of the quotients are equivalent to 5? Select all that apply.
Simplify the expression:
-2(4 + 3w) =
Submit is it positive or negative
Answer:
3w + 2
Step-by-step explanation:
Can 4.7cm 10.4cm 13cm form a right triangle
Yes or no
Answer:
no
Step-by-step explanation:
no
when you add the squares of 4.7 and 10.4 you get 130.25
then take the square root of 130.25
it goes to around 11 which isnt 13
so no
Answer:
No
Step-by-step explanation:
Because 4.7, 10.4, and 13 cm make an obtuse scalene triangle.
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
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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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)
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 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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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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Can you give me the answers plus i really did help
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:
To make a smoothie you use 12 cup of yogurt for every 34 cup of fruit. what is the constant of proportionality that relates y, the number of cups of fruit needed to x, the number of cups of yogurt needed to make a smoothie?
The constant of proportionality for the smoothie is 0.353.
What is constant of proportionality?It should be noted that the constant of proportionality shows the proportional relationship between the variables that are given.
In this case, to make a smoothie you use 12 cup of yogurt for every 34 cup of fruit, the constant of proportionality will be:
y = kx
where y = number of cups of fruit needed
x= number of cups of yogurt needed to make a smoothie.
This will be:
y = kx
12 = 34k
Divide through by 34
k = 12/34
k = 0.353
The constant is 0.353
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3 ratios equivalent to 6:10
Answer:
20:12 32:50 24:40 3:5 14:40
question 4 (10 points)
The slope of the table is 3.
In this question, we have been given a table.
We need to find the slope of the table.
For aby two points (x1, y1) and (x2, y2), we use the formula of slope,
m = (y2 - y1) / (x2 - x1)
m1 = (15 - 30) / (-5 - 0)
m1 = (-15) / (-5)
m1 = 3
For a pair of points (-5, 15) and (10, 60)
m2 = (60 - 15) / (10 + 5)
m2 = 45 / 15
m2 = 3
For a pair of points (10, 60) and (5, 45)
m3 = (45 - 60) / (5 - 10)
m3 = -15 / -5
m3 = 3
Therefore, the slope of the table is 3.
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What is an equation of the line that passes through the points (0, -6) and (1, 0)?
Answer:
y=6x-6
Step-by-step explanation:
find the slope
y2-y1/ x2-x1
then put one of the points in y-y1=m(x-x1)
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
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
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
What is the equation of the line that passes through the point (5,5) and has a slope of -3/5?
Answer:
y = -3/5x + 8
Step-by-step explanation:
Step 1:
Plot your point and then use your slope to find another point on the graph.
Step 2:
Draw a line through the points
Step 3:
Find your y-int
y = mx + b where x and y are variables, m is the slope and b is the y-int
y = -3/5x + 8
Answer:
y= 8 + (-3/5)x is the equation of the line
Order the numbers from least to greatest. PLEASE HELP
Answer:
22/7, _/32/3, 3.3, _/11
Step-by-step explanation:
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
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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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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FOR 57 POINTS
Bella wants to purchase a t-shirt for $14.89. She knows that sales tax is an additional 5%, or , of the price. To find the exact amount of the sales tax, she should multiply the purchase price by
-------- (0.5, 0.02, 0.2, 0.05)
. A good estimate for the amount of sales tax is
--------- ($0.50, $0.75, $0.20, $1.50)
. A good estimate for the total price, including sales tax,
-------- ($14.25, $16.50, $14.75, $15.75)
Answer:
first person s correct
Step-by-step explanation:
