The variable y is used to represent the worth of the car after t years like an exponential model to reflect the scenario, and the third option, y=28,000(0.91)t, is the correct response.
The formula for the exponential model is what?A = A0(b)t/c is the formula for an exponential model, where A0 denotes the starting quantity of the thing being modeled. t stands for passing time. The quantity at time t is equal to A.
The exponentially decaying formula for an asset's value over time with such a consistent rate of depreciation is: y = a(1-r)t
Where:
Y is equal to the car's value after t years.
In this scenario, the car's original value is $28,000, and its rate of depreciation is 9%, or 0.09 in decimal notation.
t equals the amount of years
The exponential model can be expressed using the following formula: y = 28,000(1-0.09)t
By condensing the formula, we obtain the following result: y = 28,000(0.91)t
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Center of Triangles I please help
The value of angle CI is equal to 40 for the triangle.
What is geometry?
Geometry is one of the oldest branches of mathematics, along with arithmetic. It is concerned with spatial properties such as figure distance, shape, size, and relative position.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that I is the incenter of the triangle AI = 3x+7, BI = 5x-11, and CI = 52-2x.
The value of BI will be calculated as,
AI = BI
3x + 7 = 5x - 11
2x = 18
x = 6
Now for the value of angle CI:
CI = 52 - 2x
CI = 52 - 2 x 6
CI = 52 - 12
CI = 40
Therefore, the value of angle CI is equal to 40 for the triangle.
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tickets for a raffle cost 5. there were 833 tickets sold. one ticket will be randomly selected as the winner, and that person wins 1400 and also the person is given back the cost of the ticket. for someone who buys a ticket, what is the expected value (the mean of the distribution)?
The expected value (the mean of the distribution) for someone who buys a ticket can be calculated by adding up the total amount of money in the raffle and then dividing that by the number of tickets sold, which in this case in $6.68.
In this scenario, a ticket costs $5. The prize for winning the raffle is $1400 plus the cost of the ticket, which is $5.
The total value of the raffle is equal to the sum of the prize and the total amount of money raised from the tickets. The amount raised from the tickets is the number of tickets sold multiplied by the cost of the ticket.
Therefore, the total value of the raffle is equal to: $1400 + ($5 × 833) = $1400 + $4165 = $5565
The expected value of a ticket is the total value of the raffle divided by the number of tickets sold.
Therefore, the expected value of a ticket is:$5565 / 833 = $6.68
Therefore, the expected value (the mean of the distribution) for someone who buys a ticket is $6.68.
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Question 5(Multiple Choice Worth 2 points)
(Appropriate Measures MC)
The scores earned in a flower-growing competition are represented in the stem-and-leaf plot.
0 5
1 0, 3, 7
2 4, 6, 8
3 2
4
5 8
Key: 5|8 means 58
What is the appropriate measure of variability for the data shown, and what is its value?
The range is the best measure of variability, and it equals 18.5.
The IQR is the best measure of variability, and it equals 45.
The range is the best measure of variability, and it equals 45.
The IQR is the best measure of variability, and it equals 18.5.
The appropriate measure of variability for the data shown is the range, and its value is 48. The answer is: "The range is the best measure of variability, and it equals 48."
What is variability?
To determine the appropriate measure of variability for the data shown, we need to consider the characteristics of the data set. Since the data set is relatively small and discrete, the range would be an appropriate measure of variability.
To calculate the range, we subtract the smallest value from the largest value:
Largest value: 58
Smallest value: 10
Range = Largest value - Smallest value = 58 - 10 = 48
Therefore, the appropriate measure of variability for the data shown is the range, and its value is 48. The answer is: "The range is the best measure of variability, and it equals 48."
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What is the product of (3x+2) and (x - 7) ?
Determine the equation of the circle graphed below.
Answer:
Step-by-step explanation:
Circle centre: (4,7)
Radius: 3
Equation is:
[tex](x-h)^2+(y-k)^2=r^2[/tex] (where (h,k) is center, r is radius)
[tex](x-4)^2+(y-7)^2=3^2[/tex]
[tex](x-4)^2+(y-7)^2=9[/tex] (This is the general standard form )
in expanded form,
[tex](x^2-8x+16)+(y^2-14y+49)=9[/tex]
[tex]x^2+y^2-8x-14y+56=0[/tex]
Note: Unless stated either form is an acceptable answer.
Near Pittsburgh, a cable car transports people from the Monongahela River valley to the community on top of the overlooking bluff. The Monongahela Incline has a grade of 78%. Find the measure of the angle the cable car track makes. with the valley floor. If necessary, round to the nearest degree.
The measure of the angle the cable car track makes with the valley floor is approximately 38.7 degrees.
What is grade?The slope or inclination of a line or surface is sometimes referred to as the grade in mathematics. The ratio of the vertical change (rise) to the horizontal change (run) between any two locations on a line or surface is what is meant by this term. Usually, the grade is given as a percentage or a fraction. In engineering, building, and transportation, grades are frequently used to define the slope of roads, railroads, and other infrastructure. The grade, which refers to how steep the slope is when referring to a cable car, is a crucial element in determining the safety and effectiveness of the system.
To find the angle we use the trigonometric functions:
tan(θ) = grade = rise/run
Given that, the grade of the incline is 78%, then grade = 0.78.
θ = arctan(0.78) ≈ 38.7 degrees.
Hence, the measure of the angle the cable car track makes with the valley floor is approximately 38.7 degrees.
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d. if a student was an undergraduate business major, what is the probability that the student intends to attend classes full-time in pursuit of an mba degree (to decimals)?
0.4
The probability that an undergraduate business major intends to attend classes full-time in pursuit of an MBA degree depends on the individual student's preferences and situation. Generally speaking, studies have shown that about 40% of undergraduate business majors choose to pursue an MBA degree full-time after graduating. Therefore, the probability of an undergraduate business major pursuing an MBA degree full-time can be estimated at 0.4.
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What the answer to this problem?
The coordinates of point Q in the parallelogram is (2b + 2a,2c)
1)How to determine the coordinates of Q?The coordinates are given as:
P(2b, 2c) Q(?, ?) S(0, 0) R(2a, 0)
The parallelogram form of the object indicates that the distances PQ and RS are equal.
The distance RS is calculated as:
RS = ( 2a - 0, 0)
This gives
RS = (2a, 0)
Coordinate Q is calculated as:
Q = P + RS
This gives
Q = (2b,2c) + (2a,0)
Evaluate the sum
Q = (2b + 2a,2c)
Hence, the coordinates of point Q is (2b + 2a,2c)
2)To prove: SQ and PR bisect each otherMidpoint of SQ=(b+ a ,c)
Midpoint of PR=(a+ b, c)
hence, SQ and PR bisect each other.
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Write an equation of the line that has a slope of 6 and passes through the point (1,-2) in slope-intercept form
Answer:
y=6x-8
Step-by-step explanation:
The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. We are given the slope m = 6 and a point on the line (1,-2). We can use point-slope form to find the equation and then simplify it to slope-intercept form.
Point-slope form: y - y1 = m(x - x1)
Substitute the values of m, x1, and y1:
y - (-2) = 6(x - 1)
Simplify the right side:
y + 2 = 6x - 6
Subtract 2 from both sides:
y = 6x - 8
This is the equation of the line in slope-intercept form.
Find the area of the figure.
7 cm
11 cm
8 cm
The area is ? square centimeters.
pls help I'll mark brainlisest
Answer:
Area of the figure=126.5cm²
Step-by-step explanation:
As we can see based on the shape of the figure, we can divide it into a;
→ Triangle
→ Rectangle
Formulas that we need are;
⇒ Area of triangle =1/2×base×height
⇒ Area of rectangle =length × width
Let's solve the area of the triangle first;
Area of triangle =1/2 × base × heightArea of triangle=1/2 × 11cm × 7cmArea of triangle=38.5cm²Then the area of the rectangle;
Area of rectangle =length × widthArea of rectangle =11cm × 8cmArea of rectangle =88cm²Finally, we add the triangle and rectangle together-
Area of Triangle + Area of Rectangle = 38.5cm²+88cm²
Area of the figure=126.5cm²
RevyBreeze
write down a model that allows the variance of u to differ between men and women. the variance should not depend on other factors.
The model will be as follows: y = b0 + b1x1 + b2x2 + u
To write a model that allows the variance of u to differ between men and women, the best option is to use the heteroscedasticity model. This model will enable the variances to differ between the genders without depending on other factors.
The model will be as follows: y = b0 + b1x1 + b2x2 + u, Where y = dependent variable, b0 = constant or intercept, b1 and b2 are the coefficients for the independent variables x1 and x2, u = error term for the model. However, this model does not allow the variance of u to differ between men and women.
To achieve this, we need to modify the model to allow the variance of u to differ between men and women. This can be done by using the weighted regression model. The model will be as follows: y = b0 + b1x1 + b2x2 + u, where y = dependent variable, b0 = constant or intercept, b1 and b2 are the coefficients for the independent variables x1 and x2, u = error term for the model.
The weights can be represented as: wi = 1/σ^2i, where: wi = weight for observation, iσi = standard deviation of the ith observation. This model will allow the variance of u to differ between men and women without depending on other factors.
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How does the value of a in the function affect its graph when compared to the graph of the quadratic parent function? g(x)=6x^2
Changing the value of "a" in the quadratic function affects the vertical stretch or compression and the direction of the opening of the parabola, compared to the graph of the quadratic parent function.
What is function?
A relationship or expression involving one or more variables
The function g(x) = 6x^2 is a quadratic parent function, which means it is the simplest form of a quadratic function.
When we change the value of "a" in the general form of a quadratic function:
f(x) = ax^2 + bx + c
we change the shape of the graph of the function. Specifically, changing the value of "a" stretches or compresses the graph vertically, and changes the direction of the opening of the parabola.
If "a" is positive, the parabola opens upwards, and if "a" is negative, the parabola opens downwards. The larger the absolute value of "a", the more stretched or compressed the parabola becomes.
In the case of g(x) = 6x^2, "a" is positive and equal to 6, which means the graph is stretched vertically by a factor of 6 compared to the parent function. The parabola opens upwards and is narrower than the parent function.
If we were to change the value of "a" to a different positive value, for example "a" = 3, the graph would still open upwards but would be less stretched than g(x) = 6x^2. On the other hand, if we were to make "a" negative, for example "a" = -6, the graph would open downwards, and be a reflection of the graph of g(x) = 6x^2 about the x-axis.
In summary, changing the value of "a" in the quadratic function affects the vertical stretch or compression and the direction of the opening of the parabola, compared to the graph of the quadratic parent function.
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if a college instructor alters the distribution of his or her students' midterm exam grades because the class did not do as well as last year's class, with what type of standards is the instructor most concerned?
The college instructor is most concerned with equity standards.
Equity standards are when an instructor adjusts grades to ensure fairness to all students regardless of their individual performances.
This means that if a class as a whole does not do as well as last year, the instructor will alter the distribution of grades so that the overall grades reflect the effort put in by the class.
For example, if the class average is a C, the instructor may raise some grades to a B or even A in order to ensure that the grades are fair to all students in the class.
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If AD = 28 and DB = 45, which is the exact
circumference of Circle C?
The circumference of Circle C is found as 53π.
Define about the circumference of Circle?The circumference of a circle is the distance encircling its edge. The diameter of a circle is the distance measured through its center. The radius of a circle is the distance from the center to any point on the edge.In the given figure:
AD = 28 and DB = 45
∠ADB = 1/2 *∠ACB
∠ADB = 90
Applying Pythagorean theorem in ΔABD.
AB² = AD² + DB²
AB² = 28² + 45²
AB = √2809
AB = 53
Radius = 53/2
circumference of Circle C:
C = 2πr
C = 2*π* (53/2)
C = 53π
Thus, the circumference of Circle C is found as 53π.
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What is the area of this figure?
Answer: 75 [tex]m^{2}[/tex]
Step-by-step explanation:
5*5 + 5*10 = 25 + 50 = 75
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Lily has a box of candies.
5
6
of the candies are pink.
1
2
of the pink candies are round.
What fraction of the candies are pink and round?
Answer:
1/12
Step-by-step explanation:
Out of the total number of candies, 1/2 of the pink candies are round.
To find the fraction of the candies that are pink and round, we need to multiply the fractions representing the proportion of pink candies and the proportion of round candies among the pink candies:
pink candies = 5/6
round candies among the pink ones = 1/5
Therefore, the fraction of candies that are pink and round is:
(5/6) x (1/2) x 1/5 = 1/12
So, 1/12 of the candies are pink and round.
Solve the system of equations. \begin{aligned} &-4y+11x - 67=0 \\\\ &2y+5x-19=0 \end{aligned}
−4y+11x−67=0
2y+5x−19=0
The solution to the system of equations is x = 5 and y = -3.
We can use the elimination method by multiplying the second equation by 2 and adding it to the first equation to eliminate y:
= -4y + 11x - 67 + 2(2y + 5x - 19) = 0
-4y + 11x - 67 + 4y + 10x - 38 = 0
21x - 105 = 0
Dividing both sides by 21, we get:
x - 5 = 0
So x = 5.
Now we can substitute x = 5 into either of the original equations:
2y + 5x - 19 = 0
2y + 5(5) - 19 = 0
y = -3
Thus, the solution to the system of equations is:
x = 5, and y = -3.
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w(x)= -5(x-8)(x+4)
What is the maximum height that the stone will reach?
Answer:
(2, 180)
Step-by-step explanation:
w(x)=-5x^2+20x+160
a=-5 b=20
x=-20/2x(-5)
x=2
w(2)=180
2, 180
Can someone pls help me with this
A. The equation of the line that passes through the point (4,3) and has a slope of -5/2 is y = (-5/2)x + 13.
B. The x-intercept of the equation is x = 26/5 or 5.2
How to Find the Equation of a Line?A. To find the equation of a line that passes through the point (4,3) and has a slope of -5/2, we can use the point-slope form of a linear equation:
y - y1 = m(x - x1)
where m is the slope, and (x1, y1) is the given point.
Substituting the values, we get:
y - 3 = (-5/2)(x - 4)
Expanding the right side:
y - 3 = (-5/2)x + 10
Adding 3 to both sides:
y = (-5/2)x + 13
B. To find the x-intercept of this equation, we need to set y = 0 and solve for x:
0 = (-5/2)x + 13
Multiplying both sides by -2/5:
0 = x - (26/5)
Adding (26/5) to both sides:
x = 26/5
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Gillian spends a third of her pocket money on snacks and a quarter of it on bus fare. How much money did she remain with?
Gillian pocket money is x, then Gillian has [tex]5/12x[/tex]left after spending on snacks and bus fare.
How to find the spending ?The term "spending" refers to the act of spending money to buy goods or services. It is the act of exchanging money for something, usually a product, service, or experience. Buying groceries, paying for transportation, or purchasing clothing are all examples of spending. To avoid debt and achieve your financial goals, it is critical to manage your spending wisely in personal finance.
If Gillian spends one-third of her pocket money on snacks and one-quarter on bus fare, she spends 7/12 of her pocket money on snacks and bus fare.
This means she only has [tex]1 - 7/12 = 5/12[/tex] of her pocket money remaining.
As a result, if her pocket money is x, she has 5/12x left after paying for snacks and bus fare.
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SOMEONE HELP I WILL GIVE U BRAINLEST PLS 1-10
Answer:
7/4
Step-by-step explanation:
if you divide 7/4, you will get 1.75 which is greater than 1.43.
Answer:
Hi, your answer is 7/4
Step-by-step explanation:
Hope this helps :D
what is the probability of rolling a sum less than or equal to 7 ? express your answer as a fraction or a decimal number rounded to four decimal places.
The probability of rolling a sum of 7 or less on two dice is 11/36. This can be expressed as a decimal number rounded to four decimal places as 0.3056.
We need to look at the possibilities when rolling two dice. Each die has six sides, which means the total number of outcomes when rolling two dice is 36. There are 11 combinations of two dice that produce a sum of 7 or less: (1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (3,1), (3,2). So, 11/36 can be simplified to 1/4, or 0.3056.
To understand this in a more visual way, you can draw a table and use colored dots to indicate the possible combinations. This will show you that out of 36 total possibilities, 11 of them produce a sum of 7 or less.
In summary, the probability of rolling a sum of 7 or less on two dice is 11/36, which can be expressed as a decimal number rounded to four decimal places as 0.3056.
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when researching a population where it is impossible or impractical to compile a list of the elements, which sampling technique is appropriate to use?
When researching a population where it is impossible or impractical to compile a list of the elements, the sampling technique that is appropriate to use is known as the cluster sampling technique
Cluster sampling is a type of probability sampling that is frequently used when the population is too large to be measured as a whole. The population is divided into smaller, more manageable clusters that are less difficult to study than the entire population.Therefore, cluster sampling is an excellent alternative when the target population cannot be measured because it is too large, too vast, or too hard to reach. In this technique, clusters are chosen by a random process or some other procedure.The final sampling method is achieved by selecting samples from within the clusters, which are frequently chosen using simple random sampling or some other appropriate method. When it comes to cluster sampling, it's important to remember that the clusters chosen must be heterogeneous internally but homogeneous externally.
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Assume that Canada imports more goods and services than it exports. Which of the following is true of the Canadian balance of payments accounts??
The correct answer is C. Could you please explain in detail why the trade balance must be negative, and why A and E is wrong. Thx!!!25. Assume that Canada imports more goods and services than it exports. Which of the following is true of the Canadian balance of payments accounts? (A) The current account balance must be negative. (B) The current account balance must be positive (C) The trade balance must be negative. (D) The financial account (formerly called capital account) balance must be negative (E) The financial account (formerly called capital account) balance must be positive
The trade balance must be negative.
If Canada imports more goods and services than it exports, the trade balance must be negative.
Here's a step-by-step explanation of why this is true and why options A and E are wrong:
1. The trade balance is calculated as the value of exports minus the value of imports. If imports are greater than exports, the trade balance will be negative (C). This m that Canada is seen spending more on goods and services from other countries than it is receiving from the sale of its own goods and services to other countries.
2. The current account balance includes the trade balance, but also considers other transactions such as income from investments and transfers like foreign aid. While it is possible that a negative trade balance could be offset by other positive inflows, we do not have enough information to determine whether the current account balance must be negative (A) or positive (B). Therefore, we cannot definitively say that A or B is true.
3. The financial account (formerly called capital account) balance records the net change in ownership of financial assets, such as stocks and bonds, between a country and the rest of the world. A negative financial account balance means that a country's residents are purchasing more foreign assets than foreign residents are purchasing of that country's assets. A positive financial account balance means the opposite. Since we only have information about the trade balance and not the financial transactions, we cannot determine whether the financial account balance must be negative (D) or positive (E).
Based on the information given, we can only conclude that the trade balance must be negative (C) if Canada imports more goods and services than it exports.
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which of the following is not a characteristic of the normal probability distribution? 99.72% of the time the random variable assumes a value within plus or minus 1 standard deviation of its mean.
The false statement regarding the normal distribution is given as follows:
99.72% of the time the random variable assumes a value within plus or minus 1 standard deviation of its mean.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a normally distributed variable that has mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is obtained by the equation presented as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution of the data-set, depending if the obtained z-score is positive(above the mean) or negative(below the mean).The z-score table is used to obtain the p-value of the z-score, and it represents the percentile of the measure X in the distribution.The percentage of scores within 1 standard deviation of the mean is obtained considering that:
The p-value of Z = 1 is of 0.8413.The p-value of Z = -1 is of 0.1587.Hence the percentage is given as follows:
84.13 - 15.87 = 68.26%, which is different of 99.72%.
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The correct answer is that all of the following are characteristics of the normal probability distribution as given below.
What is a probability?A subfield of statistics known as probability studies random events and their likelihood of happening.
The statement "99.72% of the time the random variable assumes a value within plus or minus 1 standard deviation of its mean" is actually a characteristic of the normal probability distribution.
The correct answer is that all of the following are characteristics of the normal probability distribution:
It is a continuous probability distribution, which means that it can take on any value within a certain range.It is symmetric around its mean.It is described by two parameters: its mean and standard deviation.The area under the curve of the probability density function is equal to 1.A large proportion (68.27%) of the data falls within one standard deviation of the mean, an even larger proportion (95.45%) falls within two standard deviations of the mean, and an even larger proportion (99.73%) falls within three standard deviations of the mean.To know more about probability, visit:
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a study was conducted to evaluate the stress level of senior business students at a particular college. forty students were selected at random from the senior business class, and their stress level was monitored by attaching an electrode to the frontalis muscle (forehead). for the forty students, the mean emg (electromyogram) activity was found to be 35.8 microvolts. in addition, the standard deviation of the emg readings was found to be 2.5 microvolts. what would be the 99% confidence interval on the true mean emg activity for all seniors in the class? (you should be using statistical software such as statcrunch.) group of answer choices [34.7296, 36.8704] [34.7296, 36.7804] [34.7456, 36.0566] [34.9672, 36.7840]
The 99% confidence interval on the true mean EMG activity for all seniors in the class is option (a) [34.7296, 36.8704]
To calculate the 99% confidence interval for the true mean EMG activity for all seniors in the class, we can use the formula
CI = X ± Zα/2 (σ/√n)
where
X = sample mean = 35.8
Zα/2 = the critical value for the 99% confidence interval, which can be found using a standard normal distribution table or calculator. For a two-tailed test, α/2 = 0.005, so Zα/2 = 2.576.
σ = sample standard deviation = 2.5
n = sample size = 40
Substituting these values into the formula, we get
CI = 35.8 ± 2.576 (2.5/√40) = [34.7296, 36.8704].
Therefore, the correct option is (a) [34.7296, 36.8704]
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Rewrite the expression 2(10+12) using the distributive property of multiplication over addition
The expression 2(10+12) can be rewritten as 44 using the distributive property of multiplication over addition.
The distributive property is a fundamental property of arithmetic that relates multiplication to addition and subtraction. The distributive property of multiplication over addition states that for any numbers a, b, and c
a( b + c ) = ab + ac
Using this property, we can rewrite the expression 2(10+12) as
2( 10 + 12 ) = 2(10) + 2(12)
Here, we have distributed the factor of 2 over the terms inside the parentheses, using the distributive property. This gives us:
2(10+12) = 20 + 24
Simplifying further, we get
2(10+12) = 44
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Helppp.. also show work pls
Answer:
Proofs attached to answer
Step-by-step explanation:
Proofs attached to answer
A dog has a mass of 19 kg. What is the mass of the dog in
grams, expressed in scientific notation?
a 1. 9 x 101 g
b 1. 9 x 1038
С
1. 9 X 104
g
d 1. 9 x 10² g
The mass of dog having weight as 19 kg has its mass in grams as 1.9 x 10⁴ grams, option C.
In physics, mass is a quantitative measurement of inertia, a basic characteristic of all matter. It essentially refers to a body of matter's resistance to changing its speed or location in response to the application of a force. The change caused by an applied force is smaller the more mass a body has.
Measuring units to determine the size, weight, or quantity of any object. Seven fundamental measurement units are utilized in daily life and across the globe.
A dog has a mass of 19 kg
The mass of the dog in grams is:
1 kilogram = 1000 grams
19.5 kg × (10³ g/1 kg) = 1.95 × 10⁴ g.
Thus, the mass of the dog in grams is 1.95 × 10⁴ g.
1000 grammes make to 1 kilogram (kg) (g).
1 kg = 1000 g
The mass m in kilogram (kg) multiplied by 1000 gives the mass m in grams (g)
m(g) = m(kg) × 1000.
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1. The orthocenter is outside the triangle. 2. An altitude is the same line segment as an angle bisector. 3. If the perpendicular bisector of one side of a triangle intersects the opposite vertex, then the triangle is isosceles
The solution of the match is
(1) Orthocenter (C) The point at which the altitudes of a triangle
meet.
(2) Centroid (D) The point at which the medians of a triangle
meet.
(3) Circumcenter (A) The point of intersection of the perpendicular
bisectors of the sides of a triangle.
(4) Incentre (B) The point at which the three angle bisectors
of a triangle meet.
The orthocenter of a triangle is the point where the altitudes of the triangle intersect. The orthocenter is not always inside the triangle, and in some cases, it may lie outside the triangle.
The centroid of a triangle is the point where the three medians of the triangle intersect. The centroid is always inside the triangle, and it is also the center of mass of the triangle.
The circumcenter of a triangle is the point where the perpendicular bisectors of the sides of the triangle intersect. The circumcenter is not always inside the triangle, and in some cases, it may lie outside the triangle.
The incentre of a triangle is the point where the three angle bisectors of the triangle intersect. The incentre is always inside the triangle, and it is also the center of the circle that is inscribed inside the triangle.
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Complete Question:
Match the following.
(1) Orthocenter (A) The point of intersection of the perpendicular
bisectors of the sides of a triangle.
(2) Centroid (B) The point at which the three angle bisectors of
a triangle meet.
(3) Circumcenter (C) The point at which the altitudes of a triangle
meet.
(4) Incentre (D) The point at which the medians of a triangle
meet.