Answer:
Your answer should be 647.51
Explanation : the price was 215.949 in December, 2009.
the price was 233.049 in December, 2013.
divide 233.049 by 235.949 and got 1.079185363.
multiply that by 600 and got 647.5112179.
The cost of the TV in 2010 is $647.5
Calculations and ParametersGiven that the complete information contains the Consumer Price Index values:
To find the CPI,
CPI= \(\frac{C_t}{C_0}\)
Where C_t= cost of the market basket in the current period
C_0 = cost of the market basket in the base period
In December 2009, the price was 215. 949
In December 2013, the price was 233.049
Hence,
215. 949/233.049
= 1.079185363.
Then we would multiply by the base selling price
\(1.079185363 * 600 = 647.5112179.\).
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Given the side lengths, determine whether
the triangle is acute, right, obtuse, or not a triangle
1. ( 15,16,21 )
A. not a triangle
B. Acute
C. Right
D. Obtuse
2. ( 20,23,41 )
A. Not a triangle
B. Acute
C. Right
D. Obtuse
3. ( 10,24,26 )
A. Not a triangle
B. Acute
C. Right
D. Obtuse
4. ( 6,13,20 )
A. Not a triangle
B. Acute
C. Right
D. Obtuse
Answer: For 1. ( 15,16,21 ), the answer is not a triangle, for 2. ( 20,23,41 ), this is an acute triangle, for 3. ( 10,24,26 ), this is an obtuse triangle, and for 4. (6, 13, 20), the answer is not a triangle, I hoped all of your answers is very helpful, Brainliest back please, and have a happy holidays! :D
Step-by-step explanation:
Find the quotient for 12 ÷ (-4). -3 -48 3
Answer:
-3
Step-by-step explanation:
12/-4=-3
Using Compound Interest, calculate the principle and interest earned (final
balance/principal
and interest) if:
Principle=$2,000
Interest Rate=8.5%
Time=10 years
Interest Calculated Quarterly
Answer: 20,085
Step-by-step explanation: 2,000x10=20,000. 8.5x10=85. 20,000+85=20,085.
I hope I got this right and if I did it right.
Solving of a system of linear equations is used to find where( or if ) the lines _______[
Is A and V a collinear?
Yes
No
Answer:
yes
Step-by-step explanation:
yes because they are in the same line
A barrel shaped like a cylinder is laid on its side and rolled up a ramp. The barrel has a circular base that is
2.5 ft in diameter. If the barrel turns 26 times in being rolled up the ramp, how long is the ramp?
Use the value 3.14 for a. Round your answer to the nearest tenth. Do not round any intermediate steps.
Check the picture below.
if the barrel is rolled up the ramp 26 times, each time the barrel is rolled up fully, it covers a length the circumference of its base, so if it does it 26 times, it wen up its base circumference 26 times.
\(\textit{circumference of a circle}\\\\ C=\pi d~~ \begin{cases} d=diameter\\[-0.5em] \hrulefill\\ d=2.5 \end{cases}\implies C=2.5\pi \implies \stackrel{\textit{26 times}}{C =65\pi }\implies \stackrel{\pi =3.14}{C=204.1}\)
The value of a machine depreciates at the rate of 10% per annum. It was purchased 3 years ago. If its present value is Rs 43740, find its purchase price.
pls anwer in details! no spam...
Given
present value of the machine : Rs 43,740Rate of depreciation per annum : 10%To find
Purchase value of the machine ( 3 years before )Let the purchase value be P,
ATQ,
P -3 x 0.1P = Rs 43,740
P-0.3P = Rs 43,740
0.7P = Rs 43,740
P = Rs 43,740/0.7
P = Rs 62,486 (approx)
Hence, the purchase value of the machine would be Rs 62,486
Help !!
centimeters and millimeters <3
1 cm = 10 mm. Length of book : 28 cm. Length of book = 280 mm. This shows that measurements in mm are the same but look to have a higher number .
How to compare centimeters and millimeters ?The conversion factor provided states that 1 cm is equal to 10 mm, which means that 1 cm is made up of 10 individual millimeters.
The length of my book in when measured in millimeters is 280 mm.
In centimeters, this is therefore:
= 280 mm / 10 cm /mm
= 28 cm
Although the numerical value appears higher when expressed in millimeters, it is important to note that the actual length of the book remains the same.
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How do you do this problem? I think I have the domain and range part: D: (-3,5] R: (-2,-5)
Given:
A graph of a function y = f(x).
Required:
Determine the properties asked in question.
Explanation:
a).
\(Domain\text{ of a function=\lbrack-3,5\rparen}\)b).
\(Range\text{ of a function=\lbrack0,-5\rbrack}\)c).The x intercept is (-3, 0).
d). The y intercept is (0, -2).
e). Function is Decreasing at
\([-3,-2)\cup(0,3)\)and increasing at
\((-2,0)\cup(3,5)\)The value of function at f(-2) = -3 and f(3) = -5.
Answer:
Hence, above is the answers.
This is hard please help
Answer:
SA = 208 in²
Step-by-step explanation:
SA = 2(2)(7) + 2(2)(10) + 2(10)(7) = 208 in²
Answer:
208 in^2
Step-by-step explanation:
SA: 2(w · l + h · l + h · w) formula
SA: 2(2 · 7 + 10 · 7 + 10 · 2) plug the numbers in- w: width, l: length, h: height
SA: 2(14 + 70 + 20) find area of 3 sides with different areas
SA: 28 + 140 + 40 doubling
SA: 208 final answer
Ilang litro ng tubig ang kailangang isalin sa timba na naglalaman ng 10 000 mililitro
Answer
nghiệmTrảingu từng bước:
3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
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PLEASE HELP
i need my algebra 2 credit !!!
What is the length of AB when A is (-7,-6) and B is (1,0)
Answer:
The answer is
10 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
\(d = \sqrt{( {x1 - x2})^{2} + ({y1 - y2})^{2} } \\ \)
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
A (-7,-6) and B (1,0)
The distance between them is
\( |AB| = \sqrt{( { - 7 - 1})^{2} + ({ - 6 - 0})^{2} } \\ = \sqrt{ ({ - 8})^{2} + ({ - 6})^{2} } \\ = \sqrt{64 + 36} \\ = \sqrt{100} \: \: \: \: \: \: \: \: \)
We have the final answer as
10 unitsHope this helps you
Find the surface area of the triangular prism. The base of the prism is an
isosceles triangle.
The surface area is cm Superscript 2.
37 cm
35 cm
47 cm
24 cm
Answer:
5446cm²
Step-by-step explanation:
the surface area = the 2 isosceles triangles + the 2 sides + the base
= 2 (24/2 X 35) + 2(37 X 47) + (47 X 24)
= 5446cm²
Answer: 5,446 cm²
Step-by-step explanation:
First, we will find the area of the two triangle sides.
A = 2 * (\(\frac{bh}{2}\))
A = bh
A = (35 cm)(24 cm)
A = 840 cm²
Next, we will find the area of the three rectangular sides. We have two that are congruent and a third that is not.
A = 2 * (LW)
A = 2 * ((47 cm)(37 cm))
A = 2 * 1,739 cm²
A = 3,478 cm²
A = LW
A = (24 cm)(47 cm)
A = 1,128 cm²
Lastly, we will add all of these faces together.
840 cm² + 3,478 cm² + 1,128 cm² = 5,446 cm²
First to answer WILL get BRAINLIEST!
which equation is represented by this modal?
1/4 x 1/2 =1/8
1/3 x 1/2 =1/6
1/4 x 1/6 = 1/24
1/4 x 1/3 = 1/12
Answer:
1/4 x 1/2 =1/8
Step-by-step explanation:
The circle is split into four parts (1/4)
Then one of the parts is split in half (1/2)
So the equation represented by the model is 1/4 x 1/2 = 1/8
Answer:
1/4x1/2=1/8
Step-by-step explanation:
this is because it has 4 pieces and then it shows 1/2 of a 1/4 piece
Find the area of the composite figure
Answer:
196 ft
Step-by-step explanation:
Bc im guessing
Mark as smartest and Brainliest
Andy saved $80 over the summer from his part-time job. He withdrew 30% of the money to buy new clothes. How much money does Andy have left in
the account after withdrawing the money?
Answer:
$56 I think
Step-by-step explanation:
because 30% of 80 is 24 and 80-24=56
Use the factor theorem and synthetic division to decide whether the second polynomial is a factor of the first.
-x³+4x-15; x+3
Is x + 3 a factor of -x +4x-15?
Yes or no?
Yes, by using the factor theorem and synthetic division method, x + 3 is a factor of -x³ + 4x - 15.
What is the factor theorem?
According to the factor theorem, a given polynomial of f(x) has a factor if and only if f=0.
From the given information:
The factor of -x³ + 4x - 15 is -(x+3)(x² - 3x + 5) = 0Using the synthetic division method:
\(\mathbf{= \dfrac{-x^3+4x - 5}{x+3} }\)
\(\mathbf{\implies \dfrac{-(x+3) (x^2-3x + 5)}{x+3} }\)
Cancel out the common factors, we have:
\(\mathbf{\implies - (x^2-3x + 5)}\)
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HELP PLEASE FAST!!!!!!!!
The value of x = 19 and the value of z = 70° in the figure given above.
How do you find the value of x and z?In algebra, the letter "x" is frequently used to denote an unknown value. It is referred to as a "variable" or occasionally a "unknown.
" x is a variable in x + 2 = 7, but we can figure out its value if we try! A variable can be any letter, name, or symbol; it doesn't have to be "x"; examples include "y" and "w." Z-scores are calculated using the formula z = (x-)/, where x represents the raw score, the population mean, and the population standard deviation.
The z-score is simply the raw score less the population mean, divided by the population standard deviation, as the calculation demonstrates. A raw score's position relative to its distance from the mean is described by the z-score.
Using The property Vertically opposite angles are equal
110° = 9x - 61
⇒ 9x = 110 +61
⇒ 9x = 171
⇒ x = 171/9
⇒ x = 19
As all angles equal 360°
110° + 110° + 2z = 360°
⇒ 2z = 360° - (110° + 110°)
⇒ 2z = 140
⇒ z = 140/2
⇒ z = 140/2
⇒ z = 70°
Thus, The value of x = 19 and the value of z = 70° in the figure given above.
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You measure 48 backpacks' weights, and find they have a mean weight of 70 ounces. Assume the population standard deviation is 6.4 ounces. Based on this, construct a 99% confidence interval for the true population mean backpack weight.
Give your answers as decimals, to two places
The 99% confidence interval for the true population mean backpack weight is approximately (68.15, 71.85) ounces, rounded to two decimal places.
To construct a 99% confidence interval for the true population mean backpack weight, we can use the formula:Confidence Interval = Sample Mean ± (Critical Value * Standard Deviation / √Sample Size).
Since the population standard deviation is known, we can use the z-distribution and find the critical value corresponding to a 99% confidence level. The critical value for a 99% confidence level is approximately 2.576.
Given that the sample mean weight is 70 ounces, the population standard deviation is 6.4 ounces, and the sample size is 48, we can calculate the confidence interval:
Confidence Interval = 70 ± (2.576 * 6.4 / √48).
Simplifying the expression, we get:
Confidence Interval ≈ 70 ± 1.855.
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A sight-seeing tour bus can carry 68 people. If 330 people want to go sight-seeing on the bus, what is the minimum number of trips the bus will have to make to accommodate everyone?
The minimum number of trips the bus will have to make to accommodate everyone is 5.
To find the minimum number of trips the bus needs to make, we divide the total number of people by the capacity of the bus.
1. Divide the total number of people (330) by the capacity of the bus (68):
330 / 68 = 4.85 (rounded to the nearest whole number)
2. The result is approximately 4.85, which means that 4 trips will not be enough to accommodate everyone.
3. Since we can't have a fraction of a trip, we need to round up to the nearest whole number to ensure that everyone is accommodated.
4. Therefore, the minimum number of trips the bus will have to make is 5, as it will require 5 full trips to transport all 330 people.
It's important to note that on the fifth trip, the bus will not be completely full, as only 10 people will be left to transport. However, this is the minimum number of trips needed to ensure that everyone can go sight-seeing on the bus.
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Jerome solved the equation below using the steps shown. Step 1: 3x + 6 = 18 step 2: 3x = 12 step 3: x = 4 what operation did her perform to get from step 2 to step 3
Answer:
divided both sides of the equation by 3
Step-by-step explanation:
Let f(x) = 2x –1 and g(x) = x2+ x –3. Which equation shows h(x), where h(x) = f(x) ∙g(x)
Answer:
h(x) = 6x^2 - 8x + 3
Step-by-step explanation:
I used the box method. I multiplied (2x * 2x), (2x * -1), (x * 2x), (x * -1), (-3 * 2x), (-3 * -1), and added like terms.
Can someone help with the answer?
Interactive Practice: Understand Statistical Questions and Data Distributions
Each day for three weeks, Isaias records the number of eggs his chickens lay. The frequency table
shows his data.
Which statement describes the data distribution?
The frequency increases as the number
of eggs increases.
The value with the greatest frequency is
6 eggs.
The range is 8 eggs.
The distribution is spread from 2 eggs to
7 eggs.
Number of Eggs
4
5
6
7
8
||||
11
Y
X
Understanding statistical questions and data distributions is an important concept in data analysis and statistics. A statistical question is one that can be answered by collecting and analyzing data.
These questions typically ask about a population or group of individuals and are often related to trends or patterns.
Data distributions refer to the way data is spread out or distributed within a dataset. This can include measures like the mean, median, and standard deviation. Understanding data distributions is important for making accurate interpretations and predictions based on the data.
To practice understanding statistical questions and data distributions, it's important to work with real-world datasets and ask questions that can be answered using statistical analysis.
This can involve looking at trends and patterns in the data and interpreting the results in a meaningful way. By building these skills, you can become better equipped to analyze and interpret data in a variety of settings.
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Part A: Use the Pythagorean Theorem to derive the standard equation of the circle, with center at (a, b) and a point on the circle at (x, y). Show all necessary math work. (3 points)
Part B: If (a, b) = (5, –2) and c = 10, determine the domain and range of the circle. (4 points)
Part C: Is the point (10, 2) inside the border of the circle if (a, b) = (5, –2) and c = 10? Explain using mathematical evidence. (3 points)
According to the equation the given all necessary math work are:
\(A: (x -f)^2 +(y -g)^2 = h^2\)
B: domain: [-5, 11]; range: [-9, 7]
C: yes, inside
What is Pythagοras theοrem?The hypοtenuse's square is equal tο the sum οf the squares οf the οther twο sides if a triangle has a straight angle (90 degrees), accοrding tο the Pythagοras theοrem. Keep in mind that BC² = AB² + AC² in the triangle ABC signifies this. Base AB, height AC, and hypοtenuse BC are all used in this equatiοn. The lοngest side οf a right-angled triangle is its hypοtenuse, it shοuld be emphasized.
Part A:
Use οf the Pythagοrean theοrem gets yοu tο the equatiοn fοr a circle in essentially οne step:
sum οf squares οf sides = square οf hypοtenuse
\((x -f)^2 +(y -g)^2 = h^2\) . . . . . . circle cantered οn (f, g) with radius h
Part B:
The circle will be defined fοr values οf x in the dοmain f ± h, and fοr values οf y in the range g ± h.
dοmain: 3 ± 8 = [-5, 11]
range: -1 ±8 = [-9, 7]
Part C:
The distance frοm pοint (10, -4) tο (f, g) is ...
\(h^2 = (10 -3)^2 +(-4 -(-1))^2\)
\(h^2 = 7^2 +(-3)^2 = 49 +9 = 58\)
h = √58 < 8 . . . . the distance tο the pοint is less than h=8.
The pοint is inside the circle.
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HELP quick!! I need an answers!
Answer:
y-intercept: -2
slope: 2/3 (2 over 3)
equation: y = 2/3x - 2
Step-by-step explanation:
i did the math
There was a problem with the plumbing and it cost is 35% morning he budget. How much did he end up paying for plumbing?
well, from the picture the new plumbing would be $1640, at least that's what's in budget, now, we know that it's going to cost 35% more than that, hmmm well, how much is 35% of 1640?
\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{35\% of 1640}}{\left( \cfrac{35}{100} \right)1640}\implies 574~\hfill \underset{final~plumbing~cost}{\stackrel{1640~~ + ~~574}{\text{\LARGE 2214}}}\)
Complete the similarity statement for the two triangles shown. L 25 ft 18 ft 10 ft Z 55 ft 01 22 ft Enter your answer in the box. A D 45 ft Δ DPL »Δ P Р 3 4 5 6 7 8 9 10
Answer:
∆DPL ~ ∆QAZ
Step-by-step explanation:
In the diagram given, the following can be deduced:
<D is congruent to <Q
<P is congruent to <A
<L is congruent to <Z
From these, looking at the letter arrangement, the similarity statement can be written as:
∆DPL ~ ∆QAZ