Meera scored more than Mishala by 73 points. It's important to note that the scores for each player are not evenly distributed - Mishala has two negative scores while Meera only has one.
To find out who scored more, we need to add up the scores for each player. For Mishala, the total score is:
20 + (-40) + 10 + 20 + (-40) + 10 = -20
For Meera, the total score is:
-30 + (-13) + 22 + 38 + (-2) + 17 = 32
So Meera scored more than Mishala. To find out by how much, we can subtract Mishala's score from Meera's score:
32 - (-20) = 52
Therefore, Meera scored more than Mishala by 52 points.
To calculate the total score for each player, we need to add up all of the individual scores. For Mishala, we have:
20 + (-40) + 10 + 20 + (-40) + 10 = -20
For Meera, we have:
-30 + (-13) + 22 + 38 + (-2) + 17 = 32
So Meera scored more than Mishala. To find out by how much, we can subtract Mishala's score from Meera's score:
32 - (-20) = 52
Therefore, Meera scored more than Mishala by 52 points. However, because we are only interested in the total score for each player, this doesn't affect our calculation.
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what is the final position on the number line "-3," 8, "-4"
Answer:
1
Step-by-step explanation:
just add the values,,,, i.e,
-3+8-4=1
PLEASE HELP ITS A TEST!!
Point A = (3, 4) Point B = (11,8)
Find the point on segment AB that is 3/4 of the distance from A to B
Answer:
b
Step-by-step explanation:
x+0.15x=
pls i want help
Round 23.4456 x 6.66 to the nearest ten (my brain isn't cooperating)
Answer:
160
Step-by-step explanation:
23.4456 x 6.66=156.147696 respectively.
156.147696 to the nearest ten is 160.
Fractional reserve bankiong refers to a banking system in which a. bank loans are less than bank reserves. b. bank reserves are only a fraction of required reserves. c. bank reserves are only a fraction of total deposits. d. bank deposits are less than bank reserves.
Fractional-reserve banking refers to a banking system in which bank reserves are only a fraction of total deposits. The correct option is (C)
Fractional reserve banking is a system in which banks only hold a fraction of the total deposits as reserves, while the rest is used for making loans. This means that bank reserves are only a fraction of the total deposits, with the remaining funds being lent out as loans. This practice allows banks to earn interest on the loans they make, but it also exposes them to risk if too many borrowers default on their loans. Overall, fractional reserve banking is defined as a system in which banks lend out more money than they hold in reserves, relying on the assumption that not all borrowers will default at the same time.
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the variables in the equationives you the equation: yex gives you the equation: O ye-x dy = xdx O yay=xexdx O None of these. The equation is not separable!
The correct separable equation is y * e⁻ˣ dy = x dx.
Why are correct separable equation is y * e⁻ˣ dy = x dx?
The seems there are some typos in the given terms, but I will do my best to help with your question. Based on the context, it appears you are looking for the correct separable equation involving variables and the given terms. Your question is:
Which of the following is the correct separable equation: O ye-x dy = xdx, O yay=xexdx, O None of these?
The correct separable equation is: y * e⁻ˣ dy = x dx
Here's a step-by-step explanation:
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Danny draws a triangle using three angles each measuring 60°. Which statement can be made about Danny's triangle?
Responses
The statement that can be made about Danny's triangle is D. Danny's triangle could be any equilateral triangle
What is an equilateral triangle?An equilateral triangle, which is also referred to as a "regular" triangle, is a triangle with three equal-length sides. Because all three sides of an isosceles triangle are equal, an equilateral triangle is a special case of an isosceles triangle.
An equilateral triangle in geometry is a triangle with equal-length sides on all three sides. In the well-known Euclidean geometry, an equilateral triangle is also equiangular, meaning that each of its three internal angles is 60 degrees and congruent with the others.
In conclusion, the correct option is D.
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1. Choose the best answer that represents the property used to rewrite the expression.
log, 6 - log, 3 = logs 2
in log minus means divide
log 6 - log 3 = log (6÷3)
log 6 - log 3 = log 2
5. Nathan wants to purchase electric drums from a music dealership in England. The drums cost £4000 and Nathan has saved R50 000. The rand/pound exchange rate is R12,24 per one pound. Will he have enough money, in rands, to buy the drums? Show your reasoning.
Nathan will have enough money, in rands, to buy the drums given his savings and cost of the drum in Rand.
Exchange rateThe exchange rate is the value of one currency in relation to another currency. It is the rate in which one currency will be exchanged for another. The rats of exchange is determined by foreign exchange market where currencies are traded.
Amount Nathan saved = R 50,000Cost of drum = £4000Convert pounds to Rand:
1 pound = 12.24 Rand
£400 = 12.24 × 4000
= 48,960 Rand
Amount Nathan saved - Cost of drum
= R 50,000 - R 48,960
= R 1,040
Therefore, Nathan will have enough money, in rands, to buy the drums.
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About how many times greater was change in price per gallon in 2007 than 2000? Show your work or explain how u determind your answer.
The required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Let 'a' be the cost per gallon of fuel in the year 2000, and 'b' be the inflation rate per year. If the rate of inflation is constant then
After 7 year inflation = 7b
Cost of fuel in 2007 = a + 7b
Now,
according to the question
Change in cost of fuel
= cost in 2007 - cost in 2000
= a + 7b - a
= 7b
Thus, the required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.
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Find the product (-2/5)(-12/7)
Answer:
\(\frac{24}{35}\)
Step-by-step explanation:
1. First turn (-2/5)(-12/7) into one fraction -> (* = multiply)
\(\frac{-2*-12 }{5*7}\)
2. Simplify the top and bottom
\(\frac{-2*-12 }{5*7}\) = \(\frac{24}{35}\)
notice that negative times negative is equal to positive
Ex: -2 * -12 = +24
Math money help! Seventh grade. Please help, thank y’all! <3
Answer:
ABC store
Step-by-step explanation:
The abc store shoes are 18.02
Answer:
Lo-Price Shoes
Step-by-step explanation:
(60.05×30)÷100=
1801.5÷100=
$18.015
60.05-18.015=42.035
$42.035>$38.85
Lo-Price Shoes are still cheaper even with ABC's 30% discount.
y = x square - 4x + 6
Davit and Mila are both travelling by train.
Davit's train travels 90 km in 50 minutes.
Mila's train travels 210 km.
It leaves at 12:05 and arrives at 13:35.
Work out the difference, in km/h, between the average speed of their trains.
32 km/h
Step-by-step explanation:
Davit's Train travels at 108 km/h
Mila's train travels at 140 km/h
140-108=32
Therefore the difference in their average speed is 32 km/h
Word problem for 2 divided by 1/4
Answer:
8
Step-by-step explanation:
2 : 1/4
2 x 4/1
2 x 4
8
Find the Circumference in the example below using the steps provided. Use 3.14 for Pi. Do not round. Be sure to label your answer.
where is the example
I can't answer the question without the example provided, but here are some steps to solve it.
Basic info-
Circumference (C)
3.14 is used for pi π= 3.14
The line halfway of the circle is the radius(r)
The line through the circle is the diameter(d)
Formulas:
C= 2πr
2 × 3.14 × the radius
OR
C= πd
3.14 × the diameter
The weight of an object is affected by gravity. Something that weighs 1 pound on earth will weigh 1.08 times that weight on Saturn. If a rock weighs 2 1/2
pounds on Earth, what will the object weigh on Saturn?
Answer:
2.7 lb
Step-by-step explanation:
2x1.08=2.16
1/2x1.08=0.54
2.16
+ 0.54
2.70
2.70 = 2.7
Tammy sold t-shirts at a festival and made a profit of $51. She made $3 for each t-shirt she sold. Her total expenses were $27. How many t-shirts did she sell?
(a) Write an equation that could be used to answer the question above.
First, choose the appropriate form. Then, fill in the blanks with the
numbers 51, 3, and 27. Let x represent the number of t-shirts.
(b) Solve the equation in part (a) to find the number of t-shirts.
Tammy needs to sell total 26 t-shirts in order to make a profit of $51.
What is meant by profit?When a product's selling price and cost price are known, the formula Profit = Selling Price - Cost Price can be used to determine the product's profit. Profit % = (Profit/Cost Price) 100 is the formula that is utilized after that.Discovering the profit and loss formulas is the next step. Taking the selling price less the cost price results in a profit or gain. The difference between the selling price and the cost price is the loss.A business's primary goal should be to earn a profit. Understanding where your business is producing money and where you are spending it can help you assess your level of success. Calculating your profit can also provide you this information.Let, total number of t-shirts sold by Tammy= x
since, she made $3 for each t-shirt.
therefore, total profit made by selling x t-shirts= $3x
therefore, Net Profit= (Total Profit made by selling t-shirts)- (total expenditure)
$51=$3x-$27
∴ $3x= $51+$27=$78
∴x =$78/$3=26
Therefore, Tammy needs to sell total 26 t-shirts in order to make a profit of $51.
Hence, the answer is 26.
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Complete the table so a linear function is represented. SHOW ALL WORK!
Answer:
g
Step-by-step explanation:
Starting with the graph of f (I) = 4", write the equation of the graph that results from a. shifting f(3 ) 1 units
upward. b. reflecting f(z) about the y-axis. y c. shifting f(x) 6 units left. y =
The graph of f(x) = 4x is a parabola that opens upwards. Shifting the graph 1 unit upwards, reflecting the graph about the y-axis, and shifting the graph 6 units left will all result in new graphs that are transformations of the original graph. Therefore:
a. Shifting f(x) 1 unit upward: y = 4x + 1
b. Reflecting f(x) about the y-axis: y = -4x
c. Shifting f(x) 6 units left: y = 4(x - 6)
The equations of the graphs that result from the given transformations:
a. Shifting f(x) 1 unit upward.
The graph of f(x) = 4x is a parabola that opens upwards. Shifting the graph 1 unit upwards means that all the points on the graph are moved 1 unit upwards. The new equation of the graph is:
y = 4x + 1
b. Reflecting f(x) about the y-axis.
Reflecting the graph of f(x) = 4x about the y-axis means that the x-coordinates of all the points on the graph are negated. The new equation of the graph is:
y = -4x
c. Shifting f(x) 6 units left.
Shifting the graph of f(x) = 4x 6 units left means that all the x-coordinates of all the points on the graph are decreased by 6. The new equation of the graph is:
y = 4(x - 6)
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find the arc length of the polar curve r = e5θ where 0 ≤ θ ≤ 2π.
The arc length of the polar curve r = e^5θ from 0 to 2π is √26 [(e^10π - 1) / 5].
What is an arc?To find the arc length of a polar curve, we use the formula:
L = ∫[a,b] √(r(θ)² + [dr(θ)/dθ]²) dθ
where r(θ) is the polar equation of the curve, and dr(θ)/dθ is its derivative with respect to θ.
In this case, we have r(θ) = e^5θ, so:
dr(θ)/dθ = 5e^5θ
Plugging these into the arc length formula, we get:
L = ∫[0,2π] √(e^10θ + (5e^5θ)²) dθ
Simplifying the integrand, we have:
L = ∫[0,2π] √(e^10θ + 25e^10θ) dθ
L = ∫[0,2π] √(26e^10θ) dθ
L = √26 ∫[0,2π] e^5θ dθ
Using the formula for the integral of e^x, we get:
L = √26 [e^5θ / 5] |_0^(2π)
L = √26 [(e^10π - 1) / 5]
So the arc length of the polar curve r = e^5θ from 0 to 2π is √26 [(e^10π - 1) / 5].
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Find the average rate of change for the function f(x)=3^x+17
Using the intervals x=3 to x=6
Answer:
234
Step-by-step explanation:
the average rate of change of f(x) in the closed interval [ a, b ] is
\(\frac{f(b)-f(a)}{b-a}\)
here [ a, b ] = [3, 6 ] , then
f(b) = f(6) = \(3^{6}\) + 17 = 729 + 17 = 746
f(a) = f(3) = 3³ + 17 = 27 + 17 = 44 , then
average rate of change = \(\frac{746-44}{6-3}\) = \(\frac{702}{3}\) = 234
pls i really dont understand this at all
Find the slope of the line when y= -5/3x +5/4
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
I need some help please?
Answer:
C choice.
Step-by-step explanation:
Since line a is given a slope as -4.
Another line which is line b is given that it's perpendicular to line a or we can say that line a is perpendicular to line b.
Perpendicular is defined as:
\( \displaystyle \large{m_1m_2 = - 1}\)
Both slopes multiply and yield -1.
We know that m1 is -4; we want to find m2 which is slope of line b.
\( \displaystyle \large{ - 4m_2 = - 1}\)
Divide both sides by -4.
\( \displaystyle \large{ \frac{ - 4m_2}{ - 4} = \frac{ - 1}{ - 4} } \\ \displaystyle \large{ m _2 = \frac{1}{4} }\)
Therefore, the slope for line b is 1/4.
Thus, the C choice is correct.
Given g (x) = 3x+5 determine x for g (-2)
Answer:
-1
Step-by-step explanation:
when you change g[×] to g[-2] , 3x+5 change to 3[-2] +5
the caspian sea is 92 feet below sea level. sea level is considered 0 feet. what number presents this height in feet of the caspian sea
Caspian Sea is elevated at 92 feet (or 28 meters) below sea level. (globally preferred unit is meters)
On the scale of sea levels, a certain height has been assigned zero elevation. This acts as a reference point for rest of the measurements and is called Mean Sea Level (MSL). It is also known as still water level.
Caspian Sea at 92 feet below sea level means it is 92 feet below MSL. Thus, its elevation is considered 92 feet below sea level.
Global MSL is calculated using the spatial average of the complete ocean's level.
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If the probability that a smoker will develop a lung disease is 0.18 and 1,000 smokers are examined, calculate the following:1. How many people are expected to suffer from lung disease.
2. What is the standard deviation of the number of people who can develop lung disease?
3. What is the probability that we will find more than 135 people with a lung disease
4. What is the probability that the number of infected people will be between 165 and 140 people?
The correct value of probability is P(X <= 140) - P(X <= 165).
To calculate the quantities related to the probability of developing a lung disease among smokers, we can use the binomial distribution.
Expected number of people suffering from lung disease:The expected number of people suffering from lung disease is given by the product of the probability and the number of smokers examined:
Expected value = Probability * Sample size = 0.18 * 1000 = 180.
Standard deviation of the number of people with lung disease:
The standard deviation of a binomial distribution is calculated using the formula:
Standard deviation = sqrt(n * p * (1 - p)),
where n is the sample size and p is the probability of success.
Standard deviation = sqrt(1000 * 0.18 * (1 - 0.18)) = 11.21.
Probability of finding more than 135 people with lung disease:
To find the probability of more than 135 people with lung disease, we can calculate the cumulative probability of 135 or fewer people and subtract it from 1.
Using a binomial distribution calculator or table, we can find the cumulative probability of 135 or fewer people with lung disease. Let's say this cumulative probability is P(X <= 135). Then, the probability of more than 135 people with lung disease is:
Probability = 1 - P(X <= 135).
Probability of the number of infected people being between 165 and 140:
To find the probability of the number of infected people being between 165 and 140, we need to calculate the cumulative probability of 140 or fewer people and subtract the cumulative probability of 165 or fewer people.
Using a binomial distribution calculator or table, let's say the cumulative probability of 140 or fewer people with lung disease is P(X <= 140) and the cumulative probability of 165 or fewer people is P(X <= 165). Then, the probability of the number of infected people being between 165 and 140 is:
Probability = P(X <= 140) - P(X <= 165).
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Please help me find the answer
You are given:
for t = 0, 1, 2, · · · . Suppose we have the following parameter
values:
n = 0.01
δ = 0.1
A0 = 5
k0 = 10
For all t ≥ 0, the exogenous technological progress follows the
following
Given the parameter values n, δ, A₀, and k₀, the endogenous technological progress A(t) can be calculated using a recursive formula. The value of physical capital k(t) can also be determined using a separate recursive formula. The specific values depend on additional parameters not provided.
To compute the value of the endogenous technological progress A(t) at time t, we can use the following recursive formula:
A(t+1) = (1 - δ) * A(t) + n * k(t)^θ
where:
- A(t) represents the value of technological progress at time t.
- δ is the depreciation rate, which is 0.1 in this case.
- n is the exogenous growth rate of technological progress, which is 0.01 in this case.
- k(t) is the value of physical capital at time t.
- θ is the elasticity of output with respect to capital, which is not provided in the given information.
To compute k(t), we can use the following formula:
k(t+1) = (1 - δ) * k(t) + i(t)
where:
- k(t) represents the value of physical capital at time t.
- δ is the depreciation rate, which is 0.1 in this case.
- i(t) is the investment at time t.
Since the investment i(t) is not given in the provided information, we cannot determine the exact values of A(t) and k(t) for each time period. However, we can use the given initial values to compute their values for the initial time period (t = 0).
Using the provided initial values:
A(0) = 5
k(0) = 10
We can substitute these values into the recursive formulas to compute A(1) and k(1):
A(1) = (1 - 0.1) * 5 + 0.01 * 10^θ
k(1) = (1 - 0.1) * 10 + i(0)
The values of A(1) and k(1) can then be used to compute A(2) and k(2), and so on, by iteratively applying the recursive formulas. The specific values of A(t) and k(t) for each time period would depend on the values of θ and the investment i(t), which are not provided.
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3. Priya says, "I can figure out the value of 3-¹ by looking at other powers of 3. I know that 32 = 9, 3¹ = 3, and 3⁰ = 1."
a. What pattern do you notice?
b. If this pattern continues, what should be the value of 3-¹?
c. If this pattern continues, what should be the value of 3-2?
a) The pattern we noticed in the sequence is; A geometric sequence
b) The value of 3⁻¹ which is the fourth term is; 1/3
c) The value of 3⁻² which is the fifth term is; 1/9
How to solve geometric progression?The general formula for the nth term of a geometric progression is;
aₙ = arⁿ⁻¹
where;
a is first term
r is common ratio
We are given the sequence as;
3², 3¹, 3⁰,____
Thus;
First term a = 9
Common ratio; r = 3/9
r = 1/3
b) Thus; 3⁻¹ will be the 4th term and as such will be;
3⁰ * 1/3 = 1/3
c) Similarly, The fifth term is 3⁻² expressed as;
1/3 * 1/3 = 1/9
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