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\( \tt \: ( \frac{18}{ - 2} ) ^{2} \\ \tt \: = (- \frac{18}{2} ) ^{2} \\ \tt = \frac{-18 \times -18}{-2 \times -2} \\ = \tt \frac{324}{4} \\ = \boxed{\tt\:81}\)
﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋
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ᴛʜᴇᴇxᴛʀᴀᴛᴇʀᴇꜱᴛʀɪᴀʟ
Answer: 81
( 18 / -2 )^2
( first divide 18 by negative 2. 18/2 is 9, made negative )
( -9 )^2
( 9 squared, so 81 )
81 is the final answer
Write the equation of the line graphed below in slope-intercept form.
a. y = 3x +12
b. y = 12x + 3
c. y = 2x + 3
d. y=12x
Answer:
C
Step-by-step explanation:
c. y = 2x + 3
first you need to find the y-intercept which is 3
and then the slope rise/run which is 2 so y = 2x + 3
the random variable x, representing the number of accidents in a certain intersection in a week, has the following probability distribution: x 0 1 2 3 4 5 p(x
Complete Question :
The random variable X, representing the number of accidents in a certain intersection in a week, has the following probability distribution: x 0 1 2 3 4 5 P(X = x) 0.20 0.30 0.20 0.15 0.10 0.05 On average, how many accidents are there in the intersection in a week? a. 5.3 b. 2.5 c. 1.8 d. 0.30 e. 0.1667
Using Probability Distributions, the intersection has 1.8 accidents on average per week.
The following is provided in the statement:
x: 0 1 2 3 4 5
P(X = x): 0.20 0.30 0.20 0.15 0.10 0.05
The average number of accidents each week must be determined.
E (x) = Σ\(x_{i}P(x_{i} )\)
E (x) = 0 (0.20) + 1(0.30) + 2(0.20) + 3(0.15) +4(0.10) + 5(0.05)
E (x) = 1.8
As a result, there are 1.8 accidents on average at the crossing each week.
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What would be 82% of 50
Answer:
82% of 50 is 41
Step-by-step explanation:
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RT = 29, RS = 2x + 1, ST = 6x + 4. What is the length of RS?
Answer:
7
Step-by-step explanation:
Given
RT=29
RS=2x+1
ST=6x+4
Now,
From the figure attached
RT=RS+ST
29=2x+1+6x+4
29=8x+5
29-5=8x
24=8x
x=3
Now,
Length of RS can be calculated as:
RS=2x+1
RS=2(3)+1
RS=7
Answer is 7
Jared writes a multiplication expression with eight rational factors. Half of the factors are positive and half are negative.
Is the product positive or negative? Why?
The multiplication expression with eight rational factors are ''positive''.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
Jared writes a multiplication expression with eight rational factors. Half of the factors are positive and half are negative.
Since, Multiplication of four positive numbers are always gives a positive number and multiplication of four negative numbers are always gives a positive number.
Hence, The multiplication expression with eight rational factors are positive.
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Write an expression showing the sum of 8 and a number f.
Show Your Work
Answer:
8+f
Step-by-step explanation:
A coat check service charges $2 for the first hour and $1 for each additional hour or fraction of an hour. Which point is NOT included in the graph of the step function?
There is no point that is NOT included in the graph of the step function.
The coat check service charges $2 for the first hour and $1 for each additional hour or fraction of an hour.
To determine the point that is NOT included in the graph of the step function, we need to consider the charging scheme and analyze the pattern of charges.
The step function can be represented as follows:
For the first hour, the charge is a flat rate of $2.
For each additional hour or fraction of an hour, the charge is $1.
Let's analyze the points included in the graph:
(1, 2): This point represents the charge for the first hour, which is $2.
Now, let's consider the additional hours:
2. (2, 3): This point represents the charge for 2 hours, which is $2 for the first hour and $1 for the additional hour.
(3, 4): This point represents the charge for 3 hours, which is $2 for the first hour and $2 for the additional 2 hours.
(4, 5): This point represents the charge for 4 hours, which is $2 for the first hour and $3 for the additional 3 hours.
Based on the charging scheme, we can observe a pattern where the charge increases by $1 for each additional hour or fraction of an hour.
Since the charging scheme allows for any additional hour or fraction of an hour, there is no specific point that is excluded from the graph. Any positive value of x greater than or equal to 1 will have a corresponding point on the graph.
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What is the volume of the pyramid? Show all work.
6 m
8 m
4 m
On the first part of her trip Natalie rode her bike 16 miles and on the second part of the trip she rode her bike 42 miles. Her average speed during the second part of the trip was 6 mph faster than her average speed on the first part of the trip. Find her average speed for the second part of the trip if the total time for the trip was 5 hours.
Answer:
14 mph ( average speed during the second part of the trip )
Step-by-step explanation:
Let´s call "x" the average speed during the first part then
t = 5 hours
t = t₁ + t₂ t₁ and t₂ times during part 1 and 2 respectively
l = t*v ( distance is speed by time ) t = l/v
First part
t₁ = 16/x and t₂ = 42 / ( x + 6)
Then
t = 5 = 16/x + 42 /(x + 6)
5 = [ 16 * ( x + 6 ) + 42 * x ] / x* ( x + 6 )
5 *x * ( x + 6 ) = 16*x + 96 + 42 x
5*x² + 30*x - 58*x - 96 = 0
5*x² - 28*x - 96 = 0
We obtained a second degree equation, we will solve for x and dismiss any negative root since negative time has not sense
x₁,₂ = [28 ± √ (28)² + 1920 ] / 10
x₁,₂ = ( 28 ± √2704 )/ 10
x₁ = 28 - 52 /10 we dismiss that root
x₂ = 80/10
x₂ = 8 mph average speed during the first part, and the average speed in the second part was 6 more miles than in the firsst part. then the average spedd dring the scond part was 8 + 6 = 14 mph
Ruben is driving along a highway that passes through Barstow. His distance d, in miles, from Barstow is given by the equation
d = |210 − 60t|,
where t is the time, in hours, since the start of his trip and
0 ≤ t ≤ 5.
When will Ruben be exactly 90 miles from Barstow?
Answer:
after 2 hours, andafter 5 hoursStep-by-step explanation:
Given that Ruben's distance from Barstow is d = |210 -60t|, you want to know the time t when he is exactly 90 miles from Barstow.
SetupThe absolute value will be 90 when the argument of the function is either -90 or +90.
The question resolves to two equations:
210 -60t = -90210 -60t = 90SolutionThese two-step linear equations can be solved in the usual way:
-60t = -300 . . . . subtract 210-60t = -120Then ...
t = -300/-60 = 5 . . . . divide by the coefficient of tt = -120/-60 = 2Ruben is 90 miles from Barstow after driving 2 hours, and again after driving 5 hours.
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
Please help me with this I need the help
You just drove your car 500 miles and used 20 gallons of gas. You know that the gas tank only holds 18 1/2 gallons of gas. What is the number of miles you can drive on one tank of gas?
500 miles / 20 gallons = 25 miles / gallon
25 miles * 18.5 gallons = 462.5 miles / one tank of gas
Follow the steps below to subtract Find a common denominator of these fractions Find an equivalent fraction for 8/5 Find an equivalent fraction for 1/3?
Answer:
Equivalent fractions to 8/5: 16/10, 24/15, 32/20, 40/25, 48/30...
Equivalent fractions to 1/3: 2/6, 3/9, 4/12, 5/15, 6/18...
Step-by-step explanation:
Solve the equation 5k^2−20k=15 . Present exact values of the solutions. If there are more than one solutions, separate them by a comma.
Two or more expressions with equal sign is equation, if the equation 5k^2−20k=15 then 1 and 3 are exact values of the solutions.
What is Equation?Two or more expressions with equal sign is called as Equation.
The given equation 5k^2−20k=15,
let us make it a QE by taking 15 to left.
5k^2−20k-15
a=5, b=-20, c=-15
k=-b±√b^2-4ac/2a
=20±√(-20)^2-4(5)(-15)/2(5)
=20±√400-300/10
=20±√100/10
=20±10/10
k=20+10/10 or k=20-10/10
k=3, or k=1
Therefore the solutions of equation 5k^2−20k=15 are 1 and 3.
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compare1/2 with 3/4 using (<>=)
Answer: 3/4 is greater than 1/2
>
Step-by-step explanation:
Choose the most reasonable Celsius temperature for a snowy day.
17°C 26°C -6°C
Choose the most reasonable Celsius temperature for a snowy day.
O A. 26°C
OB. 17°C
C. -6°C
The most reasonable temperature for a snowy day is given as follows:
C. -6°C
How to obtain the most reasonable temperature?Considering that it snows, the temperature is either negative or very low positive, as snow only happens on temperatures close to freezing (like 2º C) or negative.
17ºC and 26ºC are far from cold enough to generate snow, hence the most reasonable temperature for a snowy day is given as follows:
C. -6°C
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Find measure of angle MNO
The measure of an inscribed angle of a circle is 1/2 the measure of its intercepted arc. In this case, arc OM is the intercepted arc, and 1/2 of 120 degrees is 60 degrees.
What is 3,000 is 1/10 of
Answer:
30000
Step-by-step explanation:
3000 / (1/10) = w
3000*10/1 = w
30000 = w
probe:
30000*1/10 = 3000
then:
30000
is 1/10
of
30000
5 bo make 6. Assessment Practice For which addition equations can you make a 10 to add? Choose two that apply. NSO.2.4 0 24+14=? 07+25= O 76+3 = 0 26 + 14 = ? ? ?
The sums of the number by using BODMAS rule are, 38, 32, 79, 40
What is the BODMAS rule?According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.
Given that:
The addition of two numbers
When adding, always line up the addends, the two numbers being combined, one on top of each other according to their place values. Add the numbers in the ones column first, then the tens column, and finally the hundreds column, to get the sum, or the total.
1) 24+14=38
2) 7+25=32
3)76+3=79
4)26+14=40
Thus, the sums of the respective equations gives 38,32,79,40 respectively
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What is the perimeter of the shape?
- 12 feet
-14 feet
-26 feet
-38 feet
Answer:
26 ft
Step-by-step explanation:
Which equation illustrates the multiplicative identity property?
0 6=640
0 6= 6(1)
O 6+6=12
O 6+6=0
In a certain chemical, the ratio of zinc to copper is 3 to 17. A jar of the chemical contains 799 grams of copper. How many grams of zinc does it contain?
Answer:
let's see what to do buddy...
Step-by-step explanation:
\( \frac{zinc}{copper} = \frac{3}{17} \\ \\ \frac{zinc}{799} = \frac{3}{17} \)
Multiply the sides of the equation by 799
\(zinc = \frac{3}{17} \times 799 \\ \\ zinc = \frac{3}{17} \times 17 \times 47 \\ \\ zinc = 3 \times 47 = 141 \)
So A jar of the chemical contains 141 grams of zinc.
And we're done.
Thanks for watching buddy good luck.
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Music students and art students at a middle school were surveyed to choose a cardiovascular activity: playing sports or dancing.
Do you prefer dancing or playing sports?
Playing sports Dancing Row totals
Music students 32 15 47
Art students 31 22 53
Column totals 63 37 100
What is the marginal frequency of students who chose dancing?
15
22
37
53
The marginal frequency of students who chose dancing is 37.
The correct answer to the given question is option 3.
The marginal frequency of students who chose dancing can be calculated by adding up the number of students who chose dancing in each row or column. In this case, we need to add up the number of art students who chose dancing (22) and the number of music students who chose dancing (15), which gives us a total of 37. This is the marginal frequency of students who chose dancing.
Based on the survey results, it appears that a slightly higher percentage of art students prefer dancing (41.5%) compared to music students (31.9%). However, both groups of students seem to be fairly evenly split between dancing and playing sports, with a slight preference for playing sports overall.
It's worth noting that cardiovascular activity is important for overall health and well-being, and both dancing and playing sports can provide great opportunities for exercise and physical activity. Additionally, both activities can also be enjoyable and provide a sense of community and social connection, which is important for middle school students who are still developing their social skills and relationships. Ultimately, the choice between dancing and playing sports will depend on individual interests, preferences, and abilities.
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helpppp with this will give bralienst but need hurry
Answer:
20.25is how much each friend gets.Step-by-step explanation:
40.50/2 = 20.25
You have to divide by 2. This way both of the people will get the same amount of money.
Answer:
each friend will get
Step-by-step explanation:
20 .25
as 40 .50 ÷ 2 = 20 .25
hope this helps
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The equation 3x2 – 5x + 7 = 0 has
A. Two real distinct roots
B. Two equal roots
C. Two Imaginary roots
D. 3 real distinct roots
Answer:
C
Step-by-step explanation:
Country A has an exponential growth rate of 4.6% per year. The population is currently 5,849,000, and the land area of Country A is 38,000,000,000 square yards. Assuming this growth rate continues and is exponential, after how long will there be one person for every square yard of land?
Answer:
195.205998 years
Step-by-step explanation:
P=P0(1.046)^t P=future population P0=initial population t=years passed
38,000,000,000 = 5,849,000(1.046)^t
1.046^t = 38,000,000,000/5,849,000
1.046^t = 38,000,000/5,849
plug in log on both sides
log 1.046^t = log (38,000,000/5,849)
t[log 1.046] = log (38,000,000/5,849)
t = In (38,000,000/5,849)/ In 1.046
t ≈ 195.205998 (hope this helps)
1. Cindi finds a $89.50 sweater at 60% off. What percentage of the original price does she pay?
a.60%
b.40%
c.100%
d.50%
Answer:
the answer is b.40% hope this helps have a nice day please give me brainliestStep-by-step explanation:
Estimate the instantaneous rate of change at the point indicated. (Round your answer to four decimal places.)
f(x) = 1/( x + 2) x = 6 .
How is the formula fo AX instantaneous rate of change at a given value of x?
The formula for the instantaneous rate of change at a given value of x is the derivative of the equation in question. In this case, the equation is f(x) = 1/(x + 2). The derivative of this equation is f'(x) = -1 / (x + 2)^2. When x = 6, then f'(x) = -1 / (6 + 2)^2 = -0.0278. Therefore, the instantaneous rate of change at the point x = 6 is -0.0278.
The instantaneous rate of change is the rate at which the output of a function is changing at a given moment in time, so in this case, it is the rate at which f(x) is changing when x is equal to 6. The instantaneous rate of change is determined by taking the derivative of the equation, which gives us the rate of change at every point in the equation. In this case, the derivative of f(x) is -1 / (x + 2)^2, and when x is equal to 6, this equation simplifies to -0.0278, giving us the instantaneous rate of change at the point x = 6.
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These shapes are similar.
Find X.
5
X
5
30
24
30
The value of x is 4.
To determine the value of x, we can use the concept of similarity between shapes.
Similar shapes have corresponding sides that are proportional to each other.
Given the dimensions of the first shape as 5, x, and 5, and the dimensions of the second shape as 30, 24, and 30, we can set up the following proportion:
5/x = 30/24
To solve for x, we can cross-multiply:
30 · x = 5 · 24
30x = 120
Dividing both sides of the equation by 30:
x = 120 / 30
x = 4
Therefore, the value of x is 4.
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