Which of the following statements are true? Select all that apply.
A. The length of
is -3.
AB
B. d(B, C) = BC = 16-1|
C. AB + AC = BC
D. AB + BC = AC
Answers
Answer:
D is the answers for the question
Step-by-step explanation:
please mark me as brainlest
Related Questions
A store owner paid $15 for a book. She marked up the price of the book by 40% to determine its selling price.
Part A
What is the selling price, in dollars, of the book?
Enter your answer in the box.
Part B
A customer buys a different book that has an original selling price of $38. The book is discounted 25%. The customer must pay a 6% sales tax on the discounted price
of the book.
What is the total amount, in dollars, the customer pays for the discounted book?
Enter your answer in the box.
Answers
Answer:
A) $21.00
B) $30.21
Step-by-step explanation:
Part AThe markup is ...
0.40 × $15.00 = $6.00
The selling price is ...
cost + markup = $15 +6 = $21.00
The selling price of the book is $21.00.
__
Part BThe discount is ...
0.25 × $38.00 = $9.50
The selling price is ...
original price - discount = $38.00 -9.50 = $28.50
The tax is ...
0.06 × $28.50 = $1.71
So the total the customer pays is ...
$28.50 +1.71 = $30.21
The customer pays $30.21 for the discounted book.
Answer:
PART A:
The selling price is $21.
PART B
The cost is $30.21
Step-by-step explanation:
In order to use percents in math questions, you have to change the percent to a decimal. 40% in the math question will be .40 (which is the same as just .4) in your calculations.
$15 × 40%
= 15 × .4
= 6
So, $6 is the the amount of the markup. Add $6 to the $15 to determine the selling price.
6 + 15 = 21
The selling price is $21.
25% needs to be changed to .25 for calculations.
6% needs to be changed to .06 for calculations.
$38 × 25%
=38 × .25
= 9.5
This is a discount. subtract .
38 - 9.5
= 28.5
This is the discounted price. Now find tax.
28.5 × .06
= 1.71
Add tax to price.
28.5 + 1.71
= 30.21
The cost is $30.21
Select all the correct answers.
Which three statements are true as they relate to supply and demand?
As supply rises, prices generally decrease.
As demand decreases, costs generally increase.
As supply decreases, prices increase.
The average rate of change describes how much a quantity changes as price increases.
O As demand rises, the price of the product decreases.
00
0:0
Answers
Answer:
As supply rises, prices generally decrease.--true
As demand decreases, costs generally increase.--false
As supply decreases, prices increase.--true
The average rate of change describes how much a quantity changes as price increases.--false
As demand rises, the price of the product decreases.--false
Step-by-step explanation:
Consider event A and event B. What is the probability that event B occurs, given that event A has already occurred?
P(BNA)
P(A)-P(B)
OA
O B.
O C.
O D.
P(BNA)
P(A)
P(BOA)
P(B)
P(BUA)
P(5)
Answers
P(B A)=P(B)
Step-by-step explanation:Given situation that two events occurred event A and event B event A has already occurredtherefore, there is no relationship between them event A and event B since, the probability of B does not depend on any activity of A therefore, P(B A)=P(B)
The probability that event B occurs, given that event A has already occurred is P(A) = P(A ∩ B) / P(B | A).
What is an Event?An event is the outcome of a chance experiment or a collection of similar outcomes.
As the sample space is a collection of all potential outcomes of a random experiment, it might be defined as every subset of that space.
When the event B is dependent on event A,
P(A ∩ B) ≠ P(A) x P(B)
When the event A comes before event B. So, the probability of B given A:
P(B | A) = P(A ∩ B) / P(A)
P(A) = P(A ∩ B) / P(B | A)
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Geomtry help please .
Answers
Answer:
angle ABC= 47°
angle CAD= 38°
Step-by-step explanation:
angle ABC= 180-(49+84)= 47°
because all angles in a traingle add up to 180°
angle ACD= 180-84= 96°
because angle on a straight line add up to 180°
so, angle CAD= 180-(46+96)= 38°
because all angles in a traingle add up to 180°
HOPE IT HELPS ☺️!
In Nebraska, Mr. Dukarelli's 11th grade class consisting of 27 students was surveyed and 34.6 percent of the students reported that they had at least two siblings. The average 11th grade class size in the state is 27. If the students in Mr. Dukarelli's class are representative of students in the state's 11th grade classes and there are 1600 11th grade in the state, which of the following best estimates the number of 11th grade students in the state who have fewer than two siblings? SHOW YOUR WORK PLEASE!!
a. 18,200
b. 28,300
c. 30,600
d. 43,200
Answers
95141 1404 393
Answer:
b. 28,300
Step-by-step explanation:
The estimated number of 11th grade students in the state is ...
(1600 classes)(27 students/class) = 43,200
About 34.6% are estimated to have 2 or more siblings, so the remaining 100%-34.6% = 65.4% are estimated to have fewer than 2 siblings.
Translated to a number of students, that percentage is ...
0.654 × 43,200 = 28,252.8 ≈ 28,300
A good estimate of the number of students with fewer than 2 siblings is 28,300.
Which expression is equivalent to 4/9×7?
Answers
Find three consecutive integers whose sum is 3
Answers
Answer:
0 , 1 , 2
Step-by-step explanation:
Integers by definition means "whole numbers". Note that 0 is also an integer. Consecutive means "whole [numbers] that follow each other without gaps". In this case, you are solving for3 consecutive integers that, when added together, is 3. Let the least number in the group be denoted as x. Therefore, it implies that each consecutive number will be 1 greater:
(x) + (x + 1) + (x + 2) = 3
Combine like terms. Like terms are terms that share the same amount of the same variables:
(x) + (x + 1) + (x + 2) = 3
(x + x + x) + (1 + 2) = 3
(3x) + (3) = 3
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplications
Divisions
Additions
Subtractions
~
First, subtract 3 from both sides of the equation:
3x + 3 = 3
3x + 3 (-3) = 3 (-3)
3x = 3 - 3
3x = 0
Next, divide 3 from both sides of the equation:
3(x) = 0
(3x)/3 = (0)/3
x = 0/3
x = 0
Next, plug in 0 for x in all consecutive integers:
(x) = 0
(x) + 1 = (0) + 1 = 1
(x) + 2 = (0) + 2 = 2
∴ (x) + (x + 1) + (x + 2) = 3
(0) + (1) + (2) = 3
(3) = 3 (True)
0 , 1 , 2 is your answer.
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0+1+2=3
8. Which answer choice describe the correct
transformations from the parent function, f(x) = x³, for
the function f(x)= x³ −6
A Vertical compression by (1/4) and shift right 6
B. Vertical stretch by 4 and shift down 6
C. Vertical compression by (1/4) and shift down 6
D. Vertical stretch by 4 and shift left 6
Answers
Answer:
Vertical compression by (1/4) and shift down 6
Write an equation of the line in slope-intercept form.
y =
Answers
Answer:
y=1/4x+3
Step-by-step explanation:
You can find the slope by starting at the point (4,2), then using "rise over run" you can count up(rise) 1, then side(run) 4. So the slope, or "m" would be 1/4x. The B value is the y Intercept, and the y Intercept is (0,3) so you would write it as 3 in the equation.
Solve for x.
Simplify your answer as much as possible.
Answers
Write an equation of the line that is parallel to y = 1/2x + 3 and passes through the point (2,-4). A) y = 1/2x-4 - 15 B) y = -2x-4 + 15 C) y = -2x-5 D) y = 1/2x - 5
Answers
Answer:
D
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = \(\frac{1}{2}\) x + 3 ← is in slope- intercept form
with slope m = \(\frac{1}{2}\)
• Parallel lines have equal slopes , then
y = \(\frac{1}{2}\) x + c ← is the partial equation
to find c substitute (2, - 4 ) into the partial equation
- 4 = \(\frac{1}{2}\) (2) + c = 1 + c ( subtract 1 from both sides )
- 5 = c
y = \(\frac{1}{2}\) x - 5 ← equation of parallel line
During a test period, an experimental group of 10 vehicles using an 85 percent ethanol-gasoline mixture showed mean CO2 emissions of 240 pounds per 100 miles, with a standard deviation of 20 pounds. A control group of 14 vehicles using regular gasoline showed mean CO2 emissions of 252 pounds per 100 miles with a standard deviation of 15 pounds. A quick comparison of the sample variances suggests that the population variances are
Answers
Answer:
A quick comparison of the sample variances suggests that the population variances are same or almost equal.
Step-by-step explanation:
The populations from which two samples are drawn are normally distributed.
The variable used to predict another variable is called an independent variable.
F- distribution is used for the test of two sample hypotheses of variances.
If two populations have equal variances then the test Statistic is nearly equal to 1.
t= s²₁/s²₂i
As the variances are almost or nearly equal the test statistic would be almost equal to 1.
What Is the length or segment of XY?
Answer choices are
4.5
6.70
9
7.28
Answers
Arianys is going to invest $11,000 and leave it in an account for 9
years. Assuming the interest is compounded monthly, what interest
rate, to the nearest hundredth of a percent, would be required in order
for Arianys to end up with $20,000?
Answers
The compound interest rate of the investment is 1.10%
How to determine the compound interest rate?The given parameters about the compound interest are
Principal, P = $11,000
Amount, A = $20,000
Time, t = 9
Number of times, n = 12 i.e. monthly interest
To calculate the amount, we have:
A = P(1 + R/n)^nt
Substitute the known values in the above equation, so, we have the following representation
20000 = 11000 * (1 + r/12)^(12 * 9)
This gives
1.82 = (1 + r/12)^108
Take the 108th root of both sides
1 + r/2 = 1.0055
Subtract 1 from both sides
r/2 = 0.0055
Multiply by 2
r = 0.011
Express as percentage
r = 1.10%
Hence, the value of the interest rate is 1.10%
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Answer:
6.66%
Step-by-step explanation:
Compounded Monthly:
�
=
�
(
1
+
�
�
)
�
�
A=P(1+
n
r
)
nt
Compound interest formula
�
=
20000
�
=
11000
�
=
9
�
=
12
A=20000P=11000t=9n=12
Given values
20000
=
20000=
11000
(
1
+
�
12
)
12
(
9
)
11000(1+
12
r
)
12(9)
Plug in values
20000
=
20000=
11000
(
1
+
�
12
)
108
11000(1+
12
r
)
108
Multiply
20000
11000
=
11000
20000
=
11000
(
1
+
�
12
)
108
11000
11000
11000(1+
12
r
)
108
Divide by 11000
1.8181818
=
1.8181818=
(
1
+
�
12
)
108
(1+
12
r
)
108
(
1.8181818
)
1
/
108
=
(1.8181818)
1/108
=
[
(
1
+
�
12
)
108
]
1
/
108
[(1+
12
r
)
108
]
1/108
Raise both sides to 1/108 power
1.0055509
=
1.0055509=
1
+
�
12
1+
12
r
−
1
−1=
−
1
−1
Subtract 1
0.0055509
=
0.0055509=
�
12
12
r
12
(
0.0055509
)
=
12(0.0055509)=
(
�
12
)
12
(
12
r
)12
Multiply by 12
0.0666108
=
0.0666108=
�
r
6.66108
%
=
6.66108%=
�
r
Convert to percent (multiply by 100)
�
≈
r≈
6.66
%
6.66%
Round to the nearest hundredth of a percent
50 POINTSSS!!!!!! PLS HURRRYYYYY!!!!!!! A set of data includes 98 data points ranging from 0 – 160. If the data is split into classes with a range of 10 (1 – 10, 11 – 20, etc), and there are no values that fall in the class 81 – 90, what can you say about the data?
1 The mean of the data will not be between 81 – 90.
2 All the data lies below 80.
3 The relative frequency of the class 81 – 90 is 0.
4 The median could be in the range 81 – 90
Answers
Answer:
3
Step-by-step explanation:
If sinA = -4/5 and cosB = 12/13, where A and B are both in Quadrant IV, what is tan(A-B)?
Answers
Answer:
4-5 12 -13
Step-by-step explanation:
You are graduating in two years. You want to invest your current savings of $5,000 in bonds and use the proceeds to purchase a new car when you graduate and start to work. You can invest the money in either Bond A, a two-year bond with a 3 percent annual interest rate, or Bond B, an inflation-indexed two-year bond paying 1 percent real interest above the inflation rate (assume this bond makes annual interest payments). The inflation rate over the next two years is expected to be 1.5 percent. Assume that both bonds are default free and have the same market price. Which bond should you invest in?
Answers
Answer: Here you go
Step-by-step explanation:
To compare the two bonds, we need to calculate the total return for each bond over the two-year period.
For Bond A:
Principal amount = $5,000
Annual interest rate = 3%
Time period = 2 years
Total interest earned = $5,000 x 3% x 2 = $300
Total return = Principal + Total interest = $5,000 + $300 = $5,300
For Bond B:
Principal amount = $5,000
Real interest rate = 1%
Inflation rate = 1.5%
Time period = 2 years
Total real interest earned = $5,000 x 1% x 2 = $100
Total inflation adjustment = $5,000 x 1.5% x 2 = $150
Total nominal interest earned = Total real interest + Total inflation adjustment = $100 + $150 = $250
Total return = Principal + Total nominal interest = $5,000 + $250 = $5,250
Therefore, based on the calculations, it appears that Bond A is the better choice since it has a higher total return than Bond B. However, it's important to note that Bond B provides inflation protection, which means that the real value of the investment will not be eroded by inflation over time. This may be an important consideration for long-term investments or investments that are exposed to high inflation rates.
write an ordered pair corresponding to the point
Answers
Answer: (3,-3)
Step-by-step explanation:
Simplify. Square root of 144 a^2 b^4 c^6
12abc
12ab2c2
12ab2c3
Answers
Answer:
12 ab²c³
Step-by-step explanation:
√144 a² b⁴ c6
144 would be 12
a² would be a
b⁴ would be b²
c6 would be c³
Anyone help me please?
Answers
Each rhombus has four right angles-False
Each square has four right angles-True
how to solve for a triangular prism
Answers
The formula for the volume of a triangular prism is V = (1/2) * b * h * L, where b is the base of the triangle, h is the height of the triangle, and L is the length of the prism. The formula for the surface area of a triangular prism is SA = 2 * [(1/2) * b * h] + L * [b + (sqrt(b^2 + h^2))], where b is the base of the triangle, h is the height of the triangle, and L is the length of the prism.
what??? I need help urgent :( i didn’t focus in math
Answers
Answer: g(x) = (x+1)-3
Step-by-step explanation: Assuming you are moving from expression f to expression g, the plus one in the equation moves the vertex to the right one. subtracting three outside of the parenthesis moves the vertex down three, giving you a vertex of (1,-3). hope this helps!
there are 7 boys and girls in a club. How many different ways to form a queue starting with a girl after each girl?
Answers
Answer:
7 girls can go in the first place, 6 in the second, etc.
7! ways is the number of ways to arrange the girls.
likewise the boys can be arranged in 7! ways
The total number of ways becomes 7! * 7!
7! * 7! = 25,401 600 ways
solve it and show full calculus.
thank you!
Answers
Answer:
Hi
Please mark brainliest ❣️
Thanks
Step-by-step explanation:
The answer is NO
Reason
x= 2 y= 1
Now input in the first inequality
y≤ -x + 4
1 ≤ -2 +4
1≤ 2 i.e 1 is less than two
Next inequality
y≤ x +1
1 ≤ 2 + 1
1≤ 3 i.e 1 is less than 3
But 1 is not equal to 3 and also not equal to 2
Hence our answer is NO
Carlos needs an average of 90% or greater on his quiz scores to earn an A in science class for the quarter. Each quiz is worth 20 points. The scores of his first four quizzes are shown in the table. There is one more quiz this quarter. Quiz Score 1 2 3 4 18 at least 19 17 20 What is the mininum score Carlos can earn on the final quiz to earn at least a 90% average? points
Answers
Carlos needs to earn at least 16 points on the final quiz to earn at least a 90% average.
We have,
Let's start by finding the total number of points that Carlos can earn in the class:
Total points
= 5 quizzes x 20 points per quiz
= 100 points
If Carlos needs an average of 90% or greater, that means he needs to earn at least 90 points out of 100.
Total points earned.
= 18 + 19 + 17 + 20
= 74 points
To find the minimum score Carlos needs on the final quiz, we can set up an inequality:
(74 + x) / 5 ≥ 0.9
where x is the score on the final quiz.
Simplifying this inequality.
74 + x ≥ 90
x ≥ 16
Therefore,
Carlos needs to earn at least 16 points on the final quiz to earn at least a 90% average.
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I have 0 idea what this even means? Does anyone know the answer and if you could possibly elaborate if you do? Very confused over here
Answers
Let f(x) = lnx and g(x) = log₂x. for all 0 < x < 1, f(x) < g(x): True.
How to determine the corresponding output value for this function?In this scenario and exercise, we would determine the corresponding output value for the functions f(x) and g(x) under the given mathematical operation and independent variables.
When x = 1, the output value for f(x) based on the table of values is given by;
f(x) = lnx
f(1) = ln(1).
f(1) = 0.
When x = 2, the output value for f(x) based on the table of values is given by;
f(x) = lnx
f(2) = ln(2).
f(2) = 0.69314718
When x = 1, the output value for g(x) based on the table of values is given by;
g(x) = log₂x
g(1) = log₂(1)
g(1) = 0.
When x = 2, the output value for g(x) based on the table of values is given by;
g(x) = log₂x
g(2) = log₂(2)
g(2) = 1.
In this context, we can logically deduce that the function f(x) is less than function g(x) for all 0 < x < 1.
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Find the minimum value of the function for the polygonal convex set determined by the given system of inequalities. 3x+4y≥19 -3x+7y≤25 -6x+3y≥-27 f(x,y)=2x+10y
Answers
Answer:
B, (5,1)
Step-by-step explanation:
Finding the derivative of a function at a point x gives
A.) The slope of the secant line of the function at x
B.) A line parallel to the function
C.) The slope of the tangent line of the function at x
D.)None of the above
Answers
Answer:
C.)
Step-by-step explanation:
that is exactly the definition of the derivative.
the derivative is the limit of
(f(x+h) - f(x))/((x+h) - x) = (f(x+h) - f(x))/h
with h going to 0.
this is the limit of the standard rate of change concentrated on a single point = the slope of the tangent at that point.
A) Find an equation for the line perpendicular to the tangent line to the curve y=x^3-4x+6 at the point (2,6)
-The equation is y=
b) What is the smallest slope on the curve? At what point on the curve does the curve have this slope?
-The smallest slope on the curve is
-The curve has the smallest slope at the point
c) Find equations for the tangent lines to the curve at the points where the slope of the curve is 8.
Answers
Answer:
f(x) = x³ - 4x + 6
f'(x) = 3x² - 4
a) f'(2) = 3(2²) - 4 = 12 - 4 = 8
6 = 8(2) + b
6 = 16 + b
b = -10
y = 8x - 10
b) 3x² - 4 = 0
3x² = 4, so x = ±2/√3 = ±(2/3)√3
= ±1.1547
f(-(2/3)√3) = 9.0792
f((2/3)√3) = 2.9208
c) 3x² - 4 = 8
3x² = 12
x² = 4, so x = ±2
f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6
6 = -2(8) + b
6 = -16 + b
b = 22
y = 8x + 22
f(2) = 6
y = 8x - 10
The equation perpendicular to the tangent is y = -1/8x + 25/4
-The smallest slope on the curve is 2.92
The curve has the smallest slope at the point (1.15, 2.92)
The equations at tangent points are y = 8x + 16 and y = 8x - 16
Finding the equation perpendicular to the tangentFrom the question, we have the following parameters that can be used in our computation:
y = x³ - 4x + 6
Differentiate
So, we have
f'(x) = 3x² - 4
The point is (2, 6)
So, we have
f'(2) = 3(2)² - 4
f'(2) = 8
The slope of the perpendicular line is
Slope = -1/8
So, we have
y = -1/8(x - 2) + 6
y = -1/8x + 25/4
The smallest slope on the curveWe have
f'(x) = 3x² - 4
Set to 0
3x² - 4 = 0
Solve for x
x = √[4/3]
x = 1.15
So, we have
Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6
Smallest slope = 2.92
So, the smallest slope is 2.92 at (1.15, 2.92)
The equation of the tangent lineHere, we set f'(x) to 8
3x² - 4 = 8
Solve for x
x = ±2
Calculate y at x = ±2
y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)
y = (2)³ - 4(2) + 6 = 6: (2, 0)
The equations at these points are
y = 8x + 16
y = 8x - 16
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Drag the tiles to the correct locations on the image. Not all the tiles will be used.
The figure is a square, with side lengths as shown.
4√5mm
What are the perimeter and area of the square
Answers
The perimeter of the square is 16√5 mm, and the area of the square is 80 mm².
To calculate the perimeter and area of the square, we can use the formulas:
Perimeter = 4 * side length
Area = side length * side length
Substituting the given side length of 4√5mm into the formulas, we have:
Perimeter = 4 * 4√5mm = 16√5mm
Area = (4√5mm) * (4√5mm) = 16 * 5mm = 80mm²
Therefore, the perimeter of the square is 16√5mm, and the area of the square is 80mm².
Please note that the values are based on the provided side length of 4√5mm. If there are any changes to the side length, the perimeter and area will differ accordingly.
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The perimeter of the square is 16√5 mm, and the area of the square is 80 mm².
I took the test on plato.