Answer:
A thesis statement is a claim
Step-by-step explanation:
The thesis statement is the sentence that states the main idea of a writing assignment and helps control the ideas within the paper. It is not merely a topic. It often reflects an opinion or judgment that a writer has made about a reading or personal experience. For instance: Tocqueville believed that the domestic role most women held in America was the role that gave them the most power, an idea that many would hotly dispute today.
a. A CD is discounted by 10%, and then from the already discounted price, a further 15% discount is given. If the price now is $12.93, find the original price.
b. What is the total discount percent as compared to the original price?
Answer:
a. $16.90
b. 23.5%
Step-by-step explanation:
a. After the two discounts, the original price is multiplied by ...
(1 -10%)(1 -15%) = 0.90×0.85 = 0.765
Then the original price is found from ...
$12.93 = 0.765 × original price
original price = $12.93 / 0.765 ≈ $16.90
__
b. The effective discount from the original price is ...
1 -0.765 = 0.235 = 23.5%
what is the derivative and the slop of the tangent line of f(x)=3x+5 at (1,8)
Step-by-step explanation:
To find the derivative of
3x+5, apply sum rule
\( \frac{d}{dx}(3x + 5) = \frac{d}{dx} 3x + \frac{d}{dx} 5\)
The derivative of
\( \frac{d}{dx} kx = k\)
And
\( \frac{d}{dx} c = 0\)
So we have
\( \frac{d}{dx} 3x + 5 = 3\)
So the derivative of the function is 3,
Since linear equations have a constant slope, the slope at any point will be 3.
So the slope of the tangent line is 3.
The price of a telephone is 200$ in shop A and 240$ in shop B. If you get 15% discount
shop B, where would you buy the telephone (both shops are next to each other
Answer: Shop A
15% of 240 is 36 and 240-36 is 204 so shop B is more expensive.
The price of a telephone at shop A is less than the price of a telephone at shop B. Then the telephone is bought from shop A.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.
The price of a telephone is $200 in shop A and $240 in shop B. If you get a 15% discount shop B.
The price of the telephone after the discount at shop B will be given as,
⇒ (1 - 0.15) x $240
⇒ 0.85 x $240
⇒ $204
The price of a telephone at shop A is less than the price of a telephone at shop B. Then the telephone is bought from shop A.
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prove that 1-cosA/sinA=cosecA-cotA
Answer:
See the proof below
Step-by-step explanation:
prove that 1-cosA/sinA=cosecA-cotA
Starting from RHS
cosecA-cotA
From trig identty
cosec theta = 1/sintheta and cot theta = cos theta/sin theta
Hence;
cosecA-cotA
= 1/sinA - cosA/sinA
FInd the LCM
= 1-cosA/sinA (LHS)
4 3/8 + 5 1/2= in fractions
Answer:
9 7/8
Step-by-step explanation:
1. 4 3/8 can be converted into the improper fraction 35/8, and 5 1/2 can be converted into 11/2.
2. Now that we have 35/8 + 11/2, we have to find a common denominator. Since 2 goes into 8 four times, we can turn 11/2 into 44/8 by multiplying the numerator and denominator (the top and the bottom numbers) by 4.
3. Now we have 35/8 + 44/8. At this point, the all we have to do is add the numerators (the top numbers). 35+44=79, so our answer is 79/8, which we can simplify to 9 7/8.
A real-estate researcher estimates that a coastal property in Florida will lose about 10% of its value each decade from 2020 to 2050. The function f(x) = 250(0.9)^x represents the estimated value (in thousands of dollars) of the property x decades after 2020.
From the above, the researcher uses new information to update the function to g(x) = 250(0.88)^x . Does the property lose more or less value by 2050?
The property lose (MORE or LESS) value by 2050.
How much more or less?
About $___
The property lose $5,400.33 by 2050 and it is by $5197.46 less.
How to determine if the property lose more or less value by 2050?A model function is a way of describing a real-life system or situation using mathematical concepts and language
The initial function is g(x) = 250(0.9)^x and the new function is g(x) = 250(0.88)^x
In 2050, x = 2050 -2020 = 30.
Using g(x) = 250(0.9)^x and x = 30:
g(x) = 250(0.9)^30 = $10,597.79 (Remember: multiply by 1000)
Using g(x) = 250(0.88)^x and x = 30:
g(x) = 250(0.88)^30 = $5,400.33
Thus, the property lose $5,400.33 by 2050.
difference = $5197.46.
So it is by $5197.46 less.
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I need help urgent plz someone help me solved this problem! Can someone plz help I’m giving you 10 points! I need help plz help me! Will mark you as brainiest!
Answer:
(x-1)(x-4)
Step-by-step explanation:
I used long division with polynomials to help me find the other factor to this problem. Divide x cubed -5x squared -6x+8 by x+2 to get x squared -5x+4.
Hope this helps!
Answer: (x + 2) (x - 4) (x - 1)
Step-by-step explanation:
Use synthetic division. If the remainder (last digit) is zero, then it is a factor. The other digits represent the coefficients of the reduced polynomial.
x³ - 3x² - 6 + 8 ; x + 2 = 0 --> x = -2
-2 | 1 -3 -6 8
| ↓ -2 10 -8
1 -5 4 0 → remainder is 0
Reduced polynomial: x² -5x + 4
= (x - 4) (x - 1)
Factored form: (x + 2) (x - 4) (x - 1)
A rectangular box is designed to have a square base and an open top. The volume is to be 500in.3 What is the minimum surface area that such a box can have?
The minimum surface area that such a box can have is 380 square
How to determine the minimum surface area such a box can have?Represent the base length with x and the bwith h.
So, the volume is
V = x^2h
This gives
x^2h = 500
Make h the subject
h = 500/x^2
The surface area is
S = 2(x^2 + 2xh)
Expand
S = 2x^2 + 4xh
Substitute h = 500/x^2
S = 2x^2 + 4x * 500/x^2
Evaluate
S = 2x^2 + 2000/x
Differentiate
S' = 4x - 2000/x^2
Set the equation to 0
4x - 2000/x^2 = 0
Multiply through by x^2
4x^3 - 2000 = 0
This gives
4x^3= 2000
Divide by 4
x^3 = 500
Take the cube root
x = 7.94
Substitute x = 7.94 in S = 2x^2 + 2000/x
S = 2 * 7.94^2 + 2000/7.94
Evaluate
S = 380
Hence, the minimum surface area that such a box can have is 380 square
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a waitress wondered if there was an association between the type of food and the type of drink customers ordered. the results are displayed below. based on the graph, is there an association between food ordered and drink ordered? there is an association because the distribution of drinks ordered differs among the food groups. there is an association because the distribution of drinks ordered is the same among the food groups. there is no association because the distribution of drinks ordered differs among the food groups. there is no association because the distribution of drinks ordered is the same among the food groups.
Yes, there is an association between food ordered and drink ordered because the distributive property of drinks ordered differs among the food groups.
Yes, there is an association between food ordered and drink ordered, as evidenced by the graph. The graph shows the distribution of drinks ordered among the various food groups, and it can be seen that the distribution differs among the food groups. For example, beer is the most popular drink ordered when burgers are the food ordered, while soda is the most popular drink when salads are the food ordered. This indicates that customers are more likely to order certain drinks depending on the type of food they are ordering, showing an association between food ordered and drink ordered.
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On a number line, point C is at 8, and the midpoint E of CD is at -3.
Point D is at
on the number line.
Answer: C
Step-by-step explanation:
Point D is at -14 on the number line.
How to determine the midpoint of a line segment?In Mathematics, the midpoint of a line segment with two end points can be calculated by adding each end point on a line segment together and then divide by two (2).
Since E is the midpoint of line segment CD, we can logically deduce the following relationship:
Line segment CD = Line segment C + Line segment D
Midpoint E = (point C + point D)/2
By substituting the given points into the equation above, we have the following:
-3 = (8 + D)/2
-6 = 8 + D
D = -6 - 8
D = -14
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The U.S. Open Golf Tournament was played at Congressional Country Club, Bethesda, Maryland, with prizes ranging from $465,000 for first place to $5000. Par for the course is 70. The tournament consists of four rounds played on different days. The scores for each round of the 32 players who placed in the money (more than $17,000) are given. The scores for the first round were as follows.
71 65 67 73 74 73 71 71 74 73 71 70 75 71 72 71 75 75 71 71 74 75 66 75 75 75 71 72 72 73 71 67
The scores for the fourth round for the same players were as follows:
69 69 73 74 72 72 70 71 71 70 72 73 73 72 71 71 71 69 70 71 72 73 74 72 71 68 69 70 69 71 73 74
Required:
a. Make a stem and leaf display for the first-round scores.
b. Make a stem and leaf display for the fourth-round scores.
c. Describe how the 2 plots overall shapes differ.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following data:
First round of scores :
71 65 67 73 74 73 71 71 74 73 71 70 75 71 72 71 75 75 71 71 74 75 66 75 75 75 71 72 72 73 71 67
STEM AND LEAF PLOT of 1st ROUND SCORES:
Stem - - | - - Leaf
______________
6 - - - | - - 5 6 7 7
7 - - | - - 0 1 1 1 1 1 1 1 1 1 1 2 2 2 3 3 3 3 4 4 4 5 5
- - - | - - 5 5 5 5 5
Second round scores :
69 69 73 74 72 72 70 71 71 70 72 73 73 72 71 71 71 69 70 71 72 73 74 72 71 68 69 70 69 71 73 74
STEM and LEAF PLOT of 2nd ROUND SCORES:
Stem - - | - - Leaf
______________________________
6 - - | - - 8 9 9 9 9 9
7 - - | - - 0 0 0 0 1 1 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3
- - - | - - 4 4 4
Both set of data have similar shape, showcasing what we can call a negative skew with the tail to the leaf and peak to the right of the distribution.
Jonas is buying fencing to surround his garden. If his garden has a perimeter of 36 feet, and fencing costs
$10.00 a yard, how much money will he need for the fencing?
Answer:
Step-by-step explanation:
$120
what is -9.25 as a faction
Answer:
-37 / 4
Step-by-step explanation:
What is the area, in square inches, of the trapezoid below?
Answer:
area = 96.22 in²
Step-by-step explanation:
area of rectangle = 6.8 x 5.7 = 38.76
area of right side triangle = 1/2(8.4)(6.8) = 28.56
area of left side triangle = 1/2(8.5)(6.8) = 28.9
38.76 + 28.56 + 28.9 = 96.22
leila says that 75% of a number will always be greater than 50% of any other number
support
75% of ____>50% of _____
refute
75%of ____ < 50% of_____
Answer:
it is not always true that 75% of a number will be greater than 50% of any other number
Step-by-step explanation:
Leila's statement is not true. It is possible for 50% of a number to be greater than 75% of another number.
For example, consider the numbers 10 and 100. 50% of 10 is 5, and 75% of 100 is 75. In this case, 50% of 10 (5) is greater than 75% of 100 (75).
Here's another example: 50% of 20 is 10, and 75% of 30 is 22.5. In this case, 50% of 20 (10) is again greater than 75% of 30 (22.5).
Therefore, it is not always true that 75% of a number will be greater than 50% of any other number.
hi what is 398÷45.
Answer:
8.84444444444
Step-by-step explanation:
Answer:
the answered would be 8.8444444
the ratio of height and length of a store room is 5:4 and the ratio of height and breadth is 2:3. find the area of the floor of the store room if the total area of the four walls of the store room is 2760m^2
Answer: The area of the floor of the store room is 1080 m^2
Step-by-step explanation:
We can begin by using the information provided about the ratios of the dimensions of the store room to set up a system of equations.
Let's call the height of the store room h, the length l, and the breadth b.
From the first ratio given, we know that:
h/l = 5/4
From the second ratio given, we know that:
h/b = 2/3
We can also use the information about the total area of the four walls to set up another equation.
The total area of the four walls is the sum of the area of the top and bottom walls (length x height) and the area of the two side walls (breadth x height).
So we have:
2lh + 2bh = 2760
We can now use the first two equations to solve for one of the variables in terms of the other two.
We can cross-multiply and simplify the first equation:
l = (4/5)h
We can cross-multiply and simplify the second equation:
b = (3/2)h
We can now substitute these expressions for l and b into the equation for the total area of the four walls:
2(4/5)h^2 + 2(3/2)h^2 = 2760
Solving for h, we get:
h = 30
Now that we know the value of h, we can use the equations l = (4/5)h and b = (3/2)h to find the values of l and b.
l = (4/5)h = (4/5)(30) = 24
b = (3/2)h = (3/2)(30) = 45
Now we have all the information we need to find the area of the floor, which is the product of the length and breadth of the store room
Area of floor = lb = 2445 = 1080 m^2
Explanation: By using the information about the ratios of the dimensions of the store room and the total area of the four walls, we set up a system of equations and used algebra to solve for the height, length and breadth of the store room. With this information, we were able to find the area of the floor of the store room.
The solution of the equation 3x + 4 =1 is a) 1 b) 0 c) -1 d) 2
Hello!
3x + 4 = 1
3x + 4 - 4 = 1 - 4
3x = -3
3x/3 = -3/3
x = -1
The solution of the equation 3x + 4 = 1 is -1.
The answer is:
C) x = -1
Work/explanation:
To solve this equation, I subtract 4 from each side:
\(\sf{3x+4=1}\)
Subtract :
\(\sf{3x=-3}\)
Divide each side by 3:
\(\sf{x=-1}\)
Hence, C is correct.
Which of the following are perfect powers?
1
24
Answer:
Uhh, I guess 24? I don't understand this question
Question: Which of the following are perfect powers?
Answer:
The answers on Edge are 27, 81, and 100. These are perfect powers.
Which ordered pair (x,y) could not be substituted in the relation below so that the relation is functional (6,7),(-2,9),(8,8),(-4,9),(x,y) a. (9,9) b. (2,9) c (7,8) d. (8,3)
None of the answer choices would result in an x-value being associated with two different y-values, the correct answer is:
e. None of the above.
what is algebra?
Algebra is a branch of mathematics that deals with mathematical operations and symbols used to represent numbers and quantities in equations and formulas.
To check whether the relation is functional, we need to make sure that each x-value is associated with only one y-value.
We can see that the pairs (6,7), (-2,9), (8,8), and (-4,9) all have different x-values, and therefore are associated with different y-values. This means that the relation is currently functional.
To determine which ordered pair could not be substituted so that the relation is functional, we need to find an x-value that is associated with two different y-values.
Let's look at each of the answer choices and see if they fit this criteria:
a. (9,9): This pair does not already appear in the relation, so it's possible that it could be added without affecting the functionality of the relation.
b. (2,9): This pair does not already appear in the relation, so it's possible that it could be added without affecting the functionality of the relation.
c. (7,8): This pair does not already appear in the relation, so it's possible that it could be added without affecting the functionality of the relation.
d. (8,3): This pair does not already appear in the relation, so it's possible that it could be added without affecting the functionality of the relation.
Since none of the answer choices would result in an x-value being associated with two different y-values, the correct answer is:
e. None of the above.
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Find the area of the triangle.
Area=
(Simplify your answer)
Answer:
38.9?? or 40??
Step-by-step explanation:
you put the base and the height together then multiply it by 2
The minimum of the graph of a quadratic function is located at (-1, 2). The point (2, 20) is also on the parabola. Which
function represents the situation?
The function representing the situation is f(x) = 2(x + 1)^2 + 2. Option C.
To determine which function represents the given situation, we can use the information provided about the minimum point and the point on the parabola.
We are given that the minimum of the graph of the quadratic function is located at (-1, 2). This means that the vertex of the parabola is at (-1, 2).
The standard form of a quadratic function is f(x) = a(x - h)^2 + k, where (h, k) represents the vertex.
In this case, h = -1 and k = 2, so the equation becomes f(x) = a(x + 1)^2 + 2.
Additionally, we know that the point (2, 20) lies on the parabola. We can substitute these coordinates into the equation to solve for the value of a:
20 = a(2 + 1)^2 + 2
20 = 9a + 2
18 = 9a
a = 2
Substituting the value of a back into the equation, we have:
f(x) = 2(x + 1)^2 + 2
So the function that represents the given situation is f(x) = 2(x + 1)^2 + 2, which is option C.
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Note the complete question is
The minimum of the graph of a quadratic function is located at (–1, 2). The point (2, 20) is also on the parabola. Which function represents the situation?
A) f(x) = (x + 1)2 + 2
B) f(x) = (x – 1)2 + 2
C) f(x) = 2(x + 1)2 + 2
D) f(x) = 2(x – 1)2 + 2
50 POINTS PLUS BRAINILY
Answer:
x = 53.6°
using tan rule:
\(\hookrightarrow \sf tan(x) = \dfrac{opposite}{adjacent}\)
\(\hookrightarrow \sf tan(x) = \dfrac{19}{14}\)
\(\hookrightarrow \sf x = tan^{-1}(\dfrac{19}{14})\)
\(\hookrightarrow \sf x = 53.6\)
Answer:
53.6° (nearest tenth)
Step-by-step explanation:
Use tan trig ratio:
\(\tan(\theta)=\dfrac{O}{A}\)
where \(\theta\) is the angle, O is the side opposite the angle and A is the side adjacent the angle.
Given:
\(\theta\) = \(x\)O = 19A = 14\(\implies \tan(x)=\dfrac{19}{14}\)
\(\implies x=\arctan\left(\dfrac{19}{14}\right)\)
\(\implies x=53.6 \textdegree\)
How many miles does he run in one year
Answer Key:
1. Since the question says Mr. Smith runs 2.7 miles every day of the week, you will need to multiply it with 365, the days of the year. The total answer you would get D. 985.5 miles.
| I just want to help you with #2 anyway
V is themidpoint of UW. If UV = x + 8 and VW = 9x, what is VW?
Answer:
x=1
Step-by-step explanation:
If V is the midpoint of the line UW, that would mean that there's an equal distance between UV and 9x. So, the value of UV and VW would eed to be the same.
x+8=9x
8=8x
x=1
What scale factor leaves the image
unchanged?
HELP MEEE PLZZZ
Answer:
Scale factor of 1
Step-by-step explanation:
A scale factor is a number in which the length of every segment of an original figure is multiplied by to get a new figure similar to it.
A scale factor that is less than 1 would give us a new figure that is reduced and smaller than the original figure. On the other hand, if the scale factor is greater than 1, the new figure would be an enlargement if the original figure.
However, a scale factor = 1 will give us a figure that is congruent to the original figure. No enlargement or reduction in the original size. The figure it image remains the same.
To calculate her cat's age in "human
years," Brenda multiplied the cat's
age by 4 and then added 16. Which
table correctly represents this
relationship between a cat's
age
and the age for a person?
Answer: it is c
Step-by-step explanation:
2(a) Another 'think of a number' problem is represented by the equation below.
2w-1
5
Complete the steps below to show the mental calculations that were made.
I think of a number (call it w)
Step 1: Multiply it by 2
Step 2: multiply it by 1
-+w+2=2w
Step 3:multiply it by 5
Step 4:multiply it by 1
Step 5:multiply it by 8
The result is double the number I started with
The solution of the equation (2w - 1) / 5 + w + 2 = 2w will be 3.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The equation is given below.
(2w - 1) / 5 + w + 2 = 2w
Simplify the equation, then we have
(2w - 1) / 5 + w + 2 = 2w
(2w - 1) / 5 = w - 2
2w - 1 = 5w - 10
3w = 9
w = 3
The solution of the equation (2w - 1) / 5 + w + 2 = 2w will be 3.
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The complete question is given below.
Select the correct answer.
Which sentence correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14?
68% of the data points lie between 10 and 14.
68% of the data points lie between 8 and 12.
68% of the data points lie between 10 and 18.
68% of the data points lie between 10 and 16.
Answer:
68% of the data points lie between 10 and 18.
Step-by-step explanation:
one standard deviation to left of mean = 14 - 4 =10
one standard deviation to right of mean = 14 + 4 = 18
68% of data is in this region.
so the answer is 68% of the data points lie between 10 and 18.
What is the length of the diagonal for the given rectangular prism to the nearest whole unit? A) 10 cm B) 11 cm 6 cm D) 13 cm
Hi there! :)
\(\large\boxed{\text{B. 11 cm.}}\)
Begin by using Pythagorean theorem to solve for the length of the diagonal of the base:
a² + b² = c²
Use the length and width in the equation:
8² + 3² = c²
64 + 9 = c²
73 = c²
c ≈ 8.54 cm
Now, we can find the length of the diagonal of the prism using our calculated diagonal of the base and the height. Use the same equation:
(8.54)² + 7² = c²
73 + 49 = c²
122 = c²
√122 = c
c = 11.05 ≈ 11 cm. The correct answer is B.