The current value of Pablo's car in pesos corresponds to 15,750,000 pesos.
This is calculated by multiplying the original price of 35,000,000 by the discount percentage of 45%, which corresponds to 15,750,000. To calculate the current price, the discount percentage (45%) is first determined and then multiplied by the original price (35,000,000). This is done to determine the discount in pesos (15,750,000) and is then subtracted from the original price to get the current price of 15,750,000.
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Complete Question:
When Pablo buys his car, it cost him 3,500,000 pesos. If it is now worth 45% of its original price, then what is its current value in pesos?
What is the correct answer?
Step-by-step explanation:
id-8253381513
password-9999
Answer:
the correct answer is A. but dont trust me on this
Step-by-step explanation:
find the next terms for this equation
Answer:
The next 4 terms are -2.4, -8, - 13.6, 19.2.
Step-by-step explanation:
u1 = u0 - 5.6
= 3.2 - 5.6
= -2.4.
u2 = u1 - 5.6
= -2.4 - 5.6
= -8.
Leah products that she will need to contribute $7,000 each year for her College tuition she already has $4,000 in savings and the table shows the total value she will have in her account at the end of four years depending on how much he deposits if Leah wants enough after 4 years to cover her contribution for the first two years of college what is the minimum amount she should deposit each month
she should deposit 200$ each month
Hope this helps :)
Step-by-step explanation:
7,000×4=28,000
28,000÷2=14,000
There are 8 rows and 8 columns, or 64 squares
on a chessboard. Suppose you place 1 penny on
Row 1 Column A, 2 pennies on Row 1 Column
B, 4 pennies on Row 1 Column C, and so on ...
Complete Question:
There are 8 rows and 8 columns, or 64 squares on a chessboard.
Suppose you place 1 penny on Row 1 Column A,
2 pennies on Row 1 Column B,
4 pennies on Row 1 Column C, and so on …
Determine the number of pennies in Row 1
Determine the number of pennies on the entire chessboard?
Answer:
255 in the first row
18,446,744,073,709,551,615 in the entire board
Step-by-step explanation:
Given
\(Rows = 8\)
\(Columns = 8\)
Solving (a): Number of pennies in first row
The question is an illustration of geometric sequence which follows
\(1,2,4....\)
Where
\(a =1\) --- The first term
Calculate the common ratio, r
\(r = \frac{T_2}{T_1} = \frac{4}{2} = 2\)
The number of pennies in the first row will be calculated using sum of n terms of a GP.
\(S_n = \frac{a(r^n - 1)}{n - 1}\)
Since, the first row has 8 columns, then
\(n = 8\)
Substitute 8 for n, 2 for r and 1 for a in \(S_n = \frac{a(r^n - 1)}{r - 1}\)
\(S_8 = \frac{1 * (2^8 - 1)}{2 - 1}\)
\(S_8 = \frac{1 * (256 - 1)}{1}\)
\(S_8 = \frac{1 * 255}{1}\)
\(S_8 = 255\)
Solving (b): The entire board has 64 cells.
So:
\(n = 64\)
Substitute 64 for n, 2 for r and 1 for a in \(S_n = \frac{a(r^n - 1)}{r - 1}\)
\(S_{64} = \frac{1 * (2^{64} - 1)}{2 -1}\)
\(S_{64} = \frac{(2^{64} - 1)}{1}\)
\(S_{64} = \frac{(18,446,744,073,709,551,616 - 1)}{1}\)
\(S_{64} = \frac{18,446,744,073,709,551,615}{1}\)
\(S_{64} = 18,446,744,073,709,551,615\)
A circular plate has circumference 19.5 inches. What is the area of this plate? Use 3.14 for pi.
It would be closest rounded to about 30.25/30.26. Would be better to know the radius rather than the circumference.
if f(x)=2x^2-3 find f(-3)
Answer:
15
Step-by-step explanation:
2(-3)^2-3
2(9)-3
18-3
15
When the point (2,-5) is reflected in the x-axis, what are the coordinates of it's image
Answer:
The answer is (2,5) hope it helps.
Answer:
\(When \: the \: point \: (2, \: -5) \: is \: reflected \\ in \: the \: x-axis \: \: ( - 2, \: -5) will \: \\ be \: the \: coordinates\)
Solve for each variable in the equation 5x+6y+7z=90
a. x
b. y
c. z
d. How are the results in parts (a)-(c) related?
Help! Due at 12:59.
Write the equation for the line
Answer:
y= 1/7x + 3
Step-by-step explanation:
1/7 is the slope and 3 is the y-intercept
Answer:
y = 1/7x + 3
Step-by-step explanation:
the y - intercept id 3
the slope is 1/7 whuch we find by doing rise over run
hope this helps <3
find the measure kyc pls its urgent
The measure of angle KYC, considering the concept of vertical angles, is given as follows:
m < KYC = 69º.
What are vertical angles?Vertical angles are angles that are opposite by the same vertex on crossing segments, hence they share a common vertex, thus being congruent, meaning that they end up having the same angle measure.
The vertical angles for this problem are given as follows:
<KYC and 69º.
As they are opposite by the vertex at the crossing of the two diagonal segments for this problem.
Hence the measure of angle KYC is given as follows:
m < KYC = 69º.
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use the information in the diagram to find x.
Answer:duhhh equal 4
Step-by-step explanation:duhhh equal 4
I WILL GIVE BRAINLIEST!!!!
The following figures give the distribution of land (in acres) for a county containing 67,000 acres. Identify each category on the circle graph. Land Use Acres Relative Frequency Forest 10,050 0.15 Farm 6700 0.10 Urban 50,250 0.75 A circle graph titled Land Use. Blue is about 75 percent; green, 15 percent; red, 10 percent. a. Farm - Blue - 75% Forest -Green - 15% Urban - Red - 10% c. Forest - Blue - 75% Urban - Green - 15% Farm - Red - 10% b. Urban - Blue - 75% Forest - Green - 15% Farm - Red - 10% d. Forest - Blue - 75% Farm - Green - 15% Urban - Red - 10% Please select the best answer from the choices provided A B C D
Answer:
c
Step-by-step explanation:
its c on edge
rewrite x+6=0 in slope intercept form
Answer:x=6
Step-by-step explanation:You can simplify as 0 is worh nothing so it would be just 6
3x-2 is less than or equal to -20
3x - 2 ≤ -20
Add 2 to both sides:
3x ≤ -18
Divide both sides by 3:
x ≤ -6
PLZ HELP ME WITH ALL OF THESE QUESTIONS PLZ I WILL GIVE BRAINLIEST ANSWER
Answers:
1. This question is asking for the dilation, or division of each point by a factor of 3. This is shown in the results below:
A' = (-4/3, -2/3)
B' = (1/3, -1)
C' = (2/3, -5/3)
D' = (-1/3, 7/3)
2. This question is asking the same thing as the previous question except for new points and a new scale factor. The results are shown below:
A' = (3, 1)
B' = (-2, -2)
C' = (-4, 6)
D' = (1, -4)
3. This question is basically asking to multiply the area of the fence by two as shown with "extend the fence's range by a scale factor of 2." The results are shown below:
A' = (4, 6)
B' = (-6, 4)
C' = (4, -4)
4. This question is asking for the ratio of each side. Moreover, this means that the same side on both triangles must equal the same ratio. This is shown below:
75/24 = 25/8
60/18 = 10/3
The values of 25/8 and 10/3 are not the same, meaning that the scale ratio is not the same. These two triangles are NOT similar because of this.
5. This question is asking the same thing as question 4. The results are shown below:
10/5 = 2
10/5 = 2
As these values are the same, these two triangles ARE similar because of how the larger triangle is multiplied by a scale factor of 2.
what is 9.7 as a fraction ?
Answer:
Step-by-step explanation:
9.7 = \(\frac{97}{10}\)
Count the number of places in the decimal number after the decimal point.
Here , there is only one place.
So, multiply and divide by 10. 9.7 *10/1*10 = 97/10
Need help ASAP for math thank youu
Answer:
X is 6
Step-by-step explanation:
The reson X is 6 is that if you removed the 3 and layed the side with x it would be alittle bit smaller than 5 making it 6.
prove that: tan[(π/4)+(x/2)] + tan[(π/4)-(x/2)]= 2secx
we will use the formula of tan(A+B)= (tanA+tanB)/(1-tanAtanB)
and tan(A-B)= (tanA-tanB)/(1+tanAtanB)
tan[(pie/4)+(x/2)]= [1+tan(x/2)]/[1-tan(x/2)] ......(1)
tan[(pie/4)-(x/2)]= [1-tan(x/2)]/[1+tan(x/2)]......(2)
now add the equation (1) and (2) which is LHS of question. So we get:
{[1+tan(x/2)]^2 + [1- tan(x/2)]^2}/1-tan^2(x/2)=2[1+tan^2(x/2)]/1-tan^2(x/2)= 2/cosx = 2secx =RHS
Hence proved.
What is the surface area of this figure? Round to the nearest tenth if necessary.
10 ft
12 ft
6 ft
8 ft
Answer:
336 ft ²
Step-by-step explanation:
Find the area of the two triangles
In this case, both triangles are the same, so we can modify the formula for area of triangle
In the formula, we divide by two, but because we multiply the area by two for the two triangles, we can just use base x height
Triangles = 6 x 8 = 48 ft²
top rectangle = 10x12 = 120 ft²
bottom rectangle = 8x12 = 96 ft²
back rectangle = 6x12 = 72 ft²
Total = 48 ft² + 120 ft² + 96 ft² + 72 ft² = 336 ft²
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Determine whether the following is a statistical question if data pertaining to internet searches is available.
How many internet searches do residents at Jacque’s retirement home perform each day
A
Since the data is not a variable and unvailable, the given question is a statistical question.
B
Since the data is variable and available, the given question is a statistical question.
C
Since the data is variable and unavailable, the given question is a statistical question.
D
Since the data is variable and available, the given question is not a statistical question.
The correct statement is "Since the data is variable and available, the given question is a statistical question." Therefore, option B is correct.
The question "How many times do Jack Nursing Home residents search the Internet each day?" is a statistical question because it is a variable that varies from person to person and from day to day. The purpose of the question was to collect data on Internet searches, indicating an interest in understanding the distribution and patterns of residents' search behavior.
Additionally, in the question he states that web search data is available. This means there is an opportunity to collect and analyze data to generate meaningful insights. This question is therefore a statistical question that takes into account the variability and availability of the data.
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Approximately 120,000 tires are discarded per year in the Philipines. How many ires is that per month??
need help༼ つ ◕_◕ ༽つ
Ms. Howard bought a 10 pound bag of candy for her 6th grade classroom. She gave away 4 pounds of candy to her students during the first unit of instruction and ate 9 ounces of candy during planning.
(16 ounces = 1 pound)
How many ounces of candy does Ms. Howard still have in her bag?
Answer: she has 6lbs and 7oz left
Step-by-step explanation:
10-4=6 16-9=7.
Answer:
87 ounces
Step-by-step explanation:
10lb - 4lb = 6lb
Convert to ounces
6 × 16 = 96
96 - 9 = 87
Find the length of the third side. If necessary, round to the nearest tenth.
Answer: 17.9
Step-by-step explanation:
Answer: 17.9
Step-by-step explanation:
a = 11c = 21b = ?\(a^{2} +b^{2} =c^{2} \\b^{2}=c^{2}-a^{2} =21^2-11^2=441-121=320\\b=\sqrt{320} =17.8885438\)
Rounded to the nearest tenth would be 17.9.
A single-server service facility has unlimited amount of waiting space. The customer interarrival times are exponentially distributed with mean 2.2 minutes (i.e. f(x) = De-/2.2). The customer service times in minutes) follow the following discrete distribution: 1 2 3 PTS .3 .3 (a) What is the mean and variance of the service times? (b) What is the traffic intensity? (e) What is the system throughput? (a) What is the long-run average waiting time (excluding service time) for each customer? (e) What is the long-run average number of customers in the system?
(a) To find the mean and variance of the service times, we can use the given discrete distribution.
The mean can be calculated by taking the weighted average of the service times: Mean = (1 * 0.3) + (2 * 0.3) + (3 * 0.4) = 0.3 + 0.6 + 1.2 = 2.1 minutes
To find the variance, we need to calculate the squared deviations from the mean and then take the weighted average: Variance = [(1 - 2.1)^2 * 0.3] + [(2 - 2.1)^2 * 0.3] + [(3 - 2.1)^2 * 0.4]
= [(-1.1)^2 * 0.3] + [(-0.1)^2 * 0.3] + [(0.9)^2 * 0.4]
= 0.363 + 0.003 + 0.324
= 0.69
(b) The traffic intensity (ρ) is the ratio of the mean service time to the mean interarrival time. In this case, the mean service time is 2.1 minutes, and the mean interarrival time is given as 2.2 minutes. Therefore:
Traffic Intensity (ρ) = Mean Service Time / Mean Interarrival Time
= 2.1 / 2.2
= 0.9545
(e) The system throughput is the average number of customers served per unit of time. Since the interarrival times are exponentially distributed, the system throughput can be calculated as the reciprocal of the mean interarrival time:
System Throughput = 1 / Mean Interarrival Time
= 1 / 2.2
≈ 0.4545 customers per minute
(a) The long-run average waiting time (excluding service time) for each customer can be calculated using Little's Law. Little's Law states that the long-run average number of customers in a stable system is equal to the product of the long-run average arrival rate and the long-run average waiting time. Since the system is single-server, the arrival rate is the same as the throughput. Therefore:
Long-run Average Waiting Time = Average Number of Customers / Throughput
= 1 / System Throughput
≈ 1 / 0.4545
≈ 2.2 minutes
(e) The long-run average number of customers in the system can also be calculated using Little's Law. It is equal to the product of the long-run average arrival rate and the long-run average time a customer spends in the system. Since the arrival rate is the same as the throughput, and the service time includes both waiting time and service time, we can subtract the waiting time from the total service time to find the time spent in the system:
Long-run Average Number of Customers = Throughput * (Mean Service Time - Waiting Time)
≈ 0.4545 * (2.1 - 2.2)
≈ -0.0454
The negative value indicates that, on average, there are no customers in the system, which suggests that the system is underutilized or not operating at its full potential.
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• If 7x +5= 2x +9, then x= ?
Answer:
x=4/5
Step-by-step explanation:
Name: Date: Period: Score: First attempt due: Practice Worksheet: Properties of Exponents Final corrections due: Simplify each expression completely using properties of exponents. Answers should have positive exponents only and all numbers evaluated, for example 5 3 = 125. Each set of problems will use the property listed above as well as a combination of properties attempted in previous sets. NEGATIVE EXPONENT AND ZERO EXPONENT PROPERTIES 1. ???? −7 = 2. (21c 18) −1 = 3. (3???? 2 ) 0 = 4. 5(x 0 )y −1 = PRODUCT OF POWERS PROPERTY 5. ???? 7???? 12 = 6. c 3 c 8 c −5 = 7. (2???? 7 )(−4???? 9???? 5 ) = 8. (9x 10y 3 )(−x 5y 3 ) = QUOTIENT OF POWERS PROPERTY 9. ???? 12 ????7 = 10. 6c 3 3c−5 = 11. 2???? 7 −4????9????5 = 12. 9x 10y 3 −x 5y3 = POWER OF A POWER PROPERTY 13. (???? 3 ) 4 = 14. (c −1 ) 3 = 15. (???? 5 ) −2 = 16. (6x 3y)(x 2 ) −2 = POWER OF A PRODUCT PROPERTY 17. (8???? 5 ) 2 = 18. (2c −1 ) −3 = 19. (−2???? 10) −2 = 20. (4x 2y 3 ) −2 (−x 10) 2 = POWER OF A QUOTIENT PROPERTY 21. ( ???? 2 ) 4 = 22. ( 25c −1 5 ) 2 = 23. ( −2???? 11???? 5 4????−2???? 2 ) 2 = 24. ( (−2x) 2 3xy2 ) 3 = MORE PRACTICE WITH MIXED PROPERTIES 25. ( ???? 2 ) 4 (8???? 5 ) 2 ????−1????10 = 26. ( 16c 6c −2 (2c 2) 3 ) −1 = 27. −2???? ????5 ( ???????? 5 −2???? 10) 2 = 28. ( (4x 2y 3) 0 −3x−1y2 ) 3 = BONUS QUESTIONS 29. ( 9 20 ???? 5 ) (2???? −2 ) ( 4 3 ???? 9 ) 30. 8(–m0???? 2) 3 (−???? 3) 2 m6????0(−2m−2????4) 3
The four basic properties of exponents are the negative exponent property, the product of powers property, the quotient of powers property, and the power of a power property.
The properties of exponents are a set of rules that allow us to simplify terms that contain exponents.
Negative exponent property states that when a negative exponent is present, the base and the exponent are switched and the sign of the exponent is changed. For example, x-2 = 1/x2.
The product of powers property states that when two terms with the same base are multiplied, the exponents are added together. For example, x3 x4 = x7.
The quotient of powers property states that when two terms with the same base are divided, the exponents are subtracted. For example, x6/x2 = x4.
The power of a power property states that when a term with an exponent is raised to another power, the exponents are multiplied. For example, (x3)2 = x6.
These properties can be used to simplify expressions that contain exponents. For example, the expression (−2m−2????4) 3 can be simplified using the power of a power property by multiplying the exponents. The expression simplifies to −2m−6????12.
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Solve for y: ax+yb=c
Group of answer choices
A. y=bc−abx
B. y=bc+ax
C. y=bc+abx
D. y=bc−ax
Answer:
y = \(\frac{c-ax}{b}\)
Step-by-step explanation:
ax + yb = c ( subtract ax from both sides )
yb = c - ax ( isolate y by dividing both sides by b )
y = \(\frac{c-ax}{b}\)
Convert 900° to radians. A) 5π eliminate b) 6π c) 7π d) 8π
Answer: 5 π
Step-by-step explanation:
900° × π/180 = 5 π
(180 x 5 = 900)
The base of a parallelogram is 6ft more than the height. If the area of the parallelogram is 27ft^2, what are the measure of the base and the height?
The measure of the base and the height of the parallelogram are;
Height = 3 ft
Base = 9 ft
How to calculate the area of a parallelogram?The formula for the area of a parallelogram is expressed as;
Area = Base × Height
From the question, we are told that the base of the parallelogram is 6 ft more than the height. Thus;
Base = 6ft + h
If the area of the parallelogram is 27 ft^2, then the measures of the base and the height is calculated as;
27 ft² = ( 6 + h ) × h
27 = 6h + h²
h² + 6h - 27 = 0
h² + 9h - 3h - 27 = 0
h(h + 9) - 3(h + 9) = 0
(h + 9)(h - 3) = 0
h = -9 or 3
We will pick the positive one which is 3 and so;
height = 3ft
Base = 6 + 3
Base = 9ft
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Given: f(x)=4x-9 and g(x)= 2x-3. What is the value of (f+g)(0)=?
A.-9
B.-10
C.-11
D.-12
Answer:
D. -12
Step-by-step explanation:
if f=4x-9, and g=2x-3, and the value is (f+g), then we have to add the equations. This is equal to 6x-12. And then, in '(f+g)(0)', it is asking what is the y-value at x=0. Plug in 0 into the equation, and the y-value equals -12.