Answer:
$650. This was the original price.
Step-by-step explanation:
Let p represent the original price.
The following expression calculates the value of p: (1 - 0.38)p = $403. Note that '1' indicates full price and that '0.38' indicates a 38% discount.
(1 - 0.38)p = $403 simplifies to (0.62)p; = $403.
Dividing both sides by 0.62 yields $650. This was the original price.
Answer:
$650
Step-by-step explanation:
Line up $ with $ and % with % then cross multiply
$403 represents ........100% full price -38% discounted = 62%
$ x amount of the original price represents .........................100%
x*62 = 403*100, cross multiply
x = (403*100)/62, divide both sides by 62
x = $650
A study was commissioned to find the mean weight of the residents in certain town.
The study found the mean weight to be 187 pounds with a margin of error of 3
pounds. Which of the following is not a reasonable value for the true mean weight of
the residents of the town?
The value that is not reasonable for the true mean weight of the residents of the town is 193 pounds
Given that the mean weight is 187 pounds with a margin of error of 3 pounds, we can construct the interval as follows:
Mean weight - Margin of error = 187 - 3 = 184 pounds
Mean weight + Margin of error = 187 + 3 = 190 pounds
So, the reasonable range for the true mean weight of the residents of the town is between 184 and 190 pounds.
Now, let's evaluate the options to identify the value that falls outside this reasonable range:
A. 170 pounds - This value falls below the lower limit of the reasonable range (184 pounds). Therefore, it is not a reasonable value for the true mean weight.
B. 188 pounds - This value falls within the reasonable range of 184 to 190 pounds. It is a reasonable value.
C. 193 pounds - This value falls above the upper limit of the reasonable range (190 pounds). Therefore, it is not a reasonable value for the true mean weight.
D. 186 pounds - This value falls within the reasonable range of 184 to 190 pounds. It is a reasonable value.
E. 182 pounds - This value falls below the lower limit of the reasonable range (184 pounds). Therefore, it is not a reasonable value for the true mean weight.
From the options provided, the value that is not reasonable for the true mean weight of the residents of the town is 193 pounds.
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I need help with these two questions please
Answer:
1) Option (b) 32km
2) Option (c) 17
Step-by-step explanation:
According to Pythagoras Theorem,
Hypotenuse²=Perpendicular²+Base²
H²=P²+B²
1) Perpendicular=?
Base=24km
Hypotenuse=40km
40²=P²+24²
1600=P²+576
1600-576=P²
1024=P²
√1024=P
32=P
2) Perpendicular=15
Base=8
Hypotenuse=?
H²=15²+8²
H²=225+64
H²=289
H=√289
H=17
if a coin is flipped 35 times and lands on heads 21 times what is the relative frequency of Landing on heads
Work Shown:
21/35 = (7*3)/(7*5) = 3/5
What is the missing number 100 -11- missing number -12=9
Answer:
68
Step-by-step explanation:
100-68-12-11=9
12+11=23
100-23-9=68
What is the Area and Perimeter??? PLEASE HELP
Answer:for area you times them and for perimiter you add
Step-by-step explanation:
hope you understand
Solve the system of equations.
y=8x-6
y=5x+9
Answer:
x= 5 , y = 34
Step-by-step explanation:
8x-6=5x+9
3x-6=9
3x=15
x=5
-
8(x5) - 6 =
34
25(x5) +9 =
34
Answer:
x = 5 and y = 34
Step-by-step explanation:
I used substitution method and did this ;
8x - 6 = 5x + 9 .....put like terms together
8x - 5x = 9 + 6
3x = 15
x = 5
y = 8 (5) - 6
y = 40 - 6
y = 34
i need someone smart that is good at math to do my homework i will pay you 10$ a week
Answer:
i'll help
Step-by-step explanation:
email corporatewriters4
PLEASE HELPPPPPPPPPPP!!!
Find the equation of the parabola with the following properties. Express your answer in standard form.
Symmetric with respect to the line y = 2
Directrix is the line x = 11
P = -3
The equation of the parabola with the following properties y = (-1/4)(x+3)^2 -1
What is the equation of the parabola?To find the equation of a parabola, we can use the formula f(x) = ax^2 + bx + c, where a, b and c are congruent vertices.
Alternatively, we can use PF = PM to find the equation of the parabola.
vertex is half way between the focus and directrix
It's a downward opening parabola, general form
y= a(x-h)^2 + k
where (h,k) = vertex= (-3,-1)
plug in another point on the parabola to solve for a which gives
am answer with either x coefficient = -1'/4 or =4 Check the math.
one or the other is right another point is the y intercept = 9a-1
Another point is directly to the right of the focus (-1, -2) It's 2 down from the directrix and 2 to the right of the focus, equidistant. plug that point into y= a(x+3)^2 -1 and solve for "a"
-2 = a((-1+3)^2 -1
-2 = 4a -1
4a = -
a = -1/4
The parabola is y = (-1/4)(x+3)^2 -1
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Negative 3 (8 minus 5) squared minus (negative 7) = negative 3 (3) squared minus (negative 7) = negative 3 (9) minus (negative 7) = 27 minus (negative 7) = 34.
What was Huda’s error?
Huda evaluated (3) squared incorrectly.
Huda found the product of –3 and 9 as positive.
Huda subtracted –7 from 27 incorrectly.
Huda did not follow the order of operations.
Huda's error in evaluating (3) squared incorrectly led to the incorrect final result.
The correct answer should be -20, not 34.
Huda's error was that she evaluated (3) squared incorrectly.
Instead of calculating 3 squared as 9, she mistakenly considered it as 3. This error led to incorrect subsequent calculations and the final result of 34, which is not the correct answer.
To evaluate the expression correctly, let's go through the steps:
Negative 3 (8 minus 5) squared minus (negative 7) \(= -3(3)^2 - (-7)\)
First, we simplify the expression within the parentheses:
\(-3(3)^2 - (-7) = -3(9) - (-7)\)
Next, we evaluate the exponent:
-3(9) - (-7) = -3(9) + 7
Now, we perform the multiplication and addition/subtraction:
-3(9) + 7 = -27 + 7 = -20
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Solve the following question:
Q1: A family has booked a long holiday in Skragness, where the probability of rain on any particular day is 0.3.
a) Find the probability that the first day to rain will be on the third day of their holiday.
b) Find the probability chance that it will not rain for the first 2 weeks of their holiday.
[hint: X~Geo(0.3) a) P(X=__), b) P(X<__)]
Q2: If G~B(42, 7/12)
a) Find E(G) and Var(G) giving your answer as a fraction or mixed number
b*) Find P(G=20) correct to 3 significant figures.
Answer is in the photo. I can only upload it to a file hosting service. link below!
tinyurl.com/wpazsebu
Help !!!!!!!!!!!!!!!!’
Charles drew a plan for a rectangular piece of material that he will use for a blanket. Three of the vertices are (−2.2,−2.3), (−2.2,1.5), and (1.5,1.5). What are the coordinates of the fourth vertex?
The coordinates of the fourth vertex are (-2.2, 1.5).
Understanding how to estimate coordinatesTo find the coordinates of the fourth vertex, we can use the fact that opposite sides of a rectangle have equal length and are parallel to each other.
First, we can find the length of one of the sides of the rectangle. Let's take the side connecting the points (-2.2, -2.3) and (-2.2, 1.5):
length = |1.5 - (-2.3)| = 3.8
Since this is a rectangle, the length of the side opposite to this one must also be 3.8. We can find this side by taking the points (-2.2, 1.5) and (1.5, 1.5):
width = |1.5 - (-2.2)| = 3.7
Now we know the length and width of the rectangle, so we can find the coordinates of the fourth vertex. Let's call this point (x, y).
Since the fourth vertex is opposite to the point (-2.2, -2.3), the x-coordinate of the fourth vertex must be the same as the x-coordinate of (-2.2, -2.3):
x = -2.2
Similarly, since the fourth vertex is opposite to the point (1.5, 1.5), the y-coordinate of the fourth vertex must be the same as the y-coordinate of (1.5, 1.5):
y = 1.5
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What is the slope of the line that passes through the points (8, -6) and (5, -1)
Answer:
-5/3
Step-by-step explanation:
trust me bro
Answer:
Use desmos
Step-by-step explanation:
Basically it is a graphing calculator put your points
Distance between 3,-6 and -2,-5
Find an equation of the graph of the tangent line to the graph of y= g(x) at x = 2 if g(2) = -4 and g'(2) = 5. (enter your answer as an equation in terms of y and x)
y = mx + c represent equation of a line
at x = 2, g(x) = y = -4
-4 = 2m + c
at
g'(x) = m
g'(2) = 5
m = 5
substitute m in equation 1
-4 = 2 x 5 + c
-4 = 10 + c
c = -4 - 10
c = - 14
Equation of a line
y = 5x - 14
What is the length of EF in the right triangle below?
D
26
10
E
F
The measure of side length EF in the right triangle is 24.
What is the measure of side length EF?The Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.
It is expressed as;
c² = a² + b²
From the diagram:
Hypotenuse DE = c = 26
Leg DF = a = 10
Leg EF = b = ?
Plug in the values and solve for b:
c² = a² + b²
26² = 10² + b²
676 = 100 + b²
b² = 676 - 100
b² = 576
b = +√576 ( we take the positive value since we are dealing with dimensions)
b = 24
Therefore, the length EF is 24.
Option C)24 is the correct answer.
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In an office building, 42 offices are currently being rented. This represents 40% of the total units. How many offices are in the building?
Answer:As per problem, 60% units constitute 72 offices. Let total number of units be x.
Hence, 0.6x = 72
or, x = 72/0.6 = 720/6 = 120
HTH
Step-by-step explanation:
The velocity of a car on the highway is given by v(t) where 0 ≤ t ≤ 10 in minutes. Which of the following represents the rate at which the velocity is changing at 2 minutes?
Step-by-step explanation:
v=s/t
0<t represents ie s
Enter the x, y value in the text book below for the following table of values where the x value is 0
Answer:
\(\left[\begin{array}{ccc}x&y=3x+4&(x,y)&-2&-2=3(-2)+4&(-2,-2)\\0&4= 3(0) + 4&(0,4)\\2&10=3(2)+4&(2,10)\end{array}\right]\)
Step-by-step explanation:
i got confused so i j filled in the table. mark as brainliest please :)
A function assigns the values. The last column in the table is needed to be filled as (-2,2), (0,4), and (2,10), respectively.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given the value of x and the value of y is needed to be calculated using the function y=3x+4. Also, in the last column, the value of x and y is needed to be written in the form of a coordinate. Therefore, the value of y can be written as,
x=-2
y=3x+4
y=3(-2)+4
y = -2
x=0
y=3x+4
y=3(0)+4
y=4
x=2
y=3(2)+4
y=10
Hence, the last column in the table is needed to be filled as (-2,2), (0,4), and (2,10), respectively.
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Use the ALEKS calculator to evaluate each expression.
Round your answers to the nearest thousandth.
Do not round any intermediate computations.
log√7 =
Log 23/6=
Exponential growth is a type of growth that occurs when the rate of increase is proportional to the current amount.
Logarithmic evaluationLog√7 = 1.659Log 23/6 = 0.862It is a rapid increase in the quantity of something over a period of time. Exponential growth can be seen in populations, investments, and other areas.It is characterized by a doubling or tripling of the original amount within a specified period of time.This type of growth is often caused by compounding, where gains from one period are reinvested in the next period, leading to a rapid increase in the overall amount.Exponential growth is often seen in the early stage of a business, when it is experiencing rapid growth due to investments or other factors.However, exponential growth can also lead to rapid decline if not managed properly.This is called logarithmic evaluation, which involves using logarithms to simplify complex expressions.To learn more about logarithmic evaluation refer to:
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In the past month, Ryan has had five pizzas delivered. He kept a record of how long it took to get the
pizzas: 35 minutes, 25 minutes, 15 minutes, 40 minutes, and 50 minutes.
If the sixth time he orders pizza, it takes 95 minutes, how will this affect his data?
a.) It will have little to no effect on both the mean and the median.
b.) It will have little to no effect on the mean, but it will make the median a less useful measure
of center.
c.) It will make both the mean and the median less useful measures of center.
d.) It will have little to no effect on the median, but it will make the mean a less useful measure
of center.
It will have little to no effect on the median, but it will make the mean a less useful measure of center.
How to determine the effect?The initial data elements are given as:
35, 25, 15, 40, 50
When a new data element is added, we have:
35, 25, 15, 40, 50, 95
See that 95 is far from the other data elements.
This means that 95 is an outlier of the data elements
Outliers have effects on the mean and it renders the mean useless.
However, it has little to no effect on the median
Hence, the true statement is (d)
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Answer:
Step-by-step explanation:
it will have little to no effect on the median but will make the mean a less useful measure of center.
Verify the identity.
sin x/1-cos x = csc x + cot x
Answer:
See below for proof
Step-by-step explanation:
\(\displaystyle \frac{\sin x}{1-\cos x}=\frac{\sin x(1+\cos x)}{(1-\cos x)(1+\cos x)}\\\\\frac{\sin x}{1-\cos x}=\frac{\sin x(1+\cos x)}{1-\cos^2 x}\\\\\frac{\sin x}{1-\cos x}=\frac{\sin x(1+\cos x)}{\sin^2 x}\\\\\frac{\sin x}{1-\cos x}=\frac{1+\cos x}{\sin x}\\\\\frac{\sin x}{1-\cos x}=\frac{1}{\sin x}+\frac{\cos x}{\sin x}\\\\\frac{\sin x}{1-\cos x}=\csc x+\cot x\)
Which of the following statements is always true? a. Workers being paid on commission make less money than if they are salaried. b. Workers being paid on commission have a salary that varies based on their performance. c. Workers being paid on commission are stressed over the amount of earnings they will have. d. Workers being paid on commission increase the accounting costs of the employer. Please select the best answer from the choices provided A B C D Mark this and return
Answer:
B
Step-by-step explanation:
Answer:
bbbbbbbbbbbbbbbbbbbbb
Step-by-step explanation:
PLEASE ANYONE ITS EASY! WILL MARK BRAINLIEST!!Which is the correct label for the angle?
Answer:
CBA
Step-by-step explanation:
10. Suppose that you are checking your work on a test, and see that you have computed the cross product of
v=i+2j−3k
and
w=2i−j+2k
. You got
v×w=i+8j−5k
. Without actually redoing
v×w
, how can you spot a mistake in your work?
We clearly seen that a little sign mistake here in 'j'.
In the given question you have computed the cross product of v=i+2j−3k and w=2i−j+2k. You got v×w=i+8j−5k Without actually redoing v×w and we have to tell how can we spot a mistake in my work.
cross product of v and w i.e v×w is orthogonal to v and w
i.e (v×w)×v = 0 = (v×w)×w
Now v×w = i+8j₋5k
v = i+2j−3k
w = 2i−j+2k
then,
(v×w)×v = ( i+8j₋5k)×(i+2j−3k)
(v×w)×v = 1+16+15
(v×w)×v = 32≠0
and
(v×w)×w = ( i+8j₋5k)×(2i−j+2k)
(v×w)×w = 2₋8₋10
(v×w)×w = ₋16≠0
hence given cross product is wrong
Also we clearly seen that a little sign mistake here in 'j'
i.e if (v×w) = ( i₋8j₋5k)
(v×w)×v = ( i₋8j₋5k)×(i+2j−3k)
(v×w)×v = 1₋16+15
(v×w)×v = 0
and
(v×w)×w = ( i₋8j₋5k)×(2i−j+2k)
(v×w)×w = 2+8₋10
Hence, (v×w) = ( i₋8j₋5k)
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Does a proportional relationship exist? Find the constant rate of change & interpret its meaning.
A. Yes, Every 1 day, sales increase by $1000
B. Yes, Every 3 days, sales increase by $1000
C. No, Every 2 days, sales increase by $500
D No. Every 3 day, sales increase by $30
Answer:
B. Yes, Every 3 days, sales increase by $1000
Step-by-step explanation:
A proportional relationship exists because the line cuts across the point of origin, (0, 0).
Constant rate of change is that there is an equal sales increase of $1,000 on every 3 days. Thus, on day 3, sales was $1,000. On day 6, sales was $2,000.
This shows proportional increase of $1,000 of sales, every 3 days.
PLEASE PLEASE HELP
The vertices of quadrilateral LMNP are L(-1 , 7), M(4,9), N(8, -1), and P(3,-3). Using the distance formula, determine the most precise classification of LMNP.
So, the most precise classification of quadrilateral LMNP is a kite.
What is equation?In mathematics, an equation is a statement that two mathematical expressions are equal. It typically contains variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. The goal of solving an equation is to find the values of the variables that make the equation true. Equations are used in many areas of mathematics, science, and engineering to model relationships between quantities and to solve problems.
Here,
To classify the quadrilateral LMNP, we need to calculate the length of all four sides using the distance formula and then use those values to determine the shape of the quadrilateral.
The distance formula is given by:
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
Using this formula, we can calculate the length of each side of the quadrilateral as follows:
LM = √[(4 - (-1))² + (9 - 7)²] = √[5² + 2²] = √29
MN = √[(8 - 4)² + (-1 - 9)²] = √[4² + (-10)²] = √116
NP = √[(3 - 8)² + (-3 - (-1))²] = √[(-5)² + (-2)²] = √29
PL = √[(-1 - 3)² + (7 - (-3))²] = √[(-4)² + 10²] = √116
Now, we can use the values we have calculated to determine the shape of the quadrilateral. We can see that LM = NP and MN = PL, which means that opposite sides are congruent. Also, LM and MN are not equal to PL and NP, which means that opposite sides are not parallel. Therefore, LMNP is a kite.
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Find the value of X that makes S || T (7x-20)° and (4x +16)°
Answer:
88189987766.9087 because x stands for 1000
244-33456/3456*345+13.55-2=
The order of operations (PEMDAS) states that we should perform multiplication and division before addition and subtraction. Using this order, we get:
244 - (33456 / 3456) * 345 + 13.55 - 2
= 244 - 97.02 * 345 + 13.55 - 2
= 244 - 33494.1 + 13.55 - 2
= -33238.55
Therefore, 244-33456/3456*345+13.55-2 = -33238.55.