Answer:
30 and 15 finding the TWO that equal it in the problem?
Step-by-step explanation:
Answer:
30 and 15
Step-by-step explanation:
add 30 and 15 and you will get 45
kyle and his dad are leaving early in the morning for his soccer tournament. their house is 195 miles from the tournament. they plan to stop and eat after 1.5 hours of driving, then complete the rest of the trip. kyle's dad plans to drive at an average speed of 65 miles per hour. which equation can kyle use to find about how long, x, the second part of the trip will take? keep it up!
Kyle can use the equation x = (195 - 65 * 1.5) / 65 to find out approximately how long the second part of the trip will take. To find out the approximate duration of the second part of the trip, Kyle needs to calculate the remaining distance after the first stop and divide it by the average speed his dad plans to drive at.
The equation x = (195 - 65 * 1.5) / 65 represents this calculation.
In this equation, 195 represents the total distance of the trip, 65 represents the average speed in miles per hour, and 1.5 represents the time taken for the first part of the trip.
To calculate the remaining distance, we subtract the distance covered during the first part of the trip (65 * 1.5) from the total distance (195). The result is then divided by the average speed (65) to determine the time it will take for the second part of the trip.
By using this equation, Kyle can estimate how long the second part of the trip will take, given the total distance, the planned speed, and the time spent on the first part of the trip.
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Put the times in chronological order
Answer:
b,c,e,d,a,f
Step-by-step explanation:
Are these two ratios equivalent by using cross products: 6/7 and 24/27
please help fast
Answer:
The two ratios are not equivalent
Step-by-step explanation:
If two ratios a/b and a/c are the same and we cross multiply, the left side should equal the right side
In other words if a/b = c/d
a x d = b x c
So if 6/7 = 24/27,
6 x 27 = 7 x 24
6 x 27 = 162
7 x 24 = 168
Since 162 ≠ 168 the two ratios are not equal
Suppose annual salaries for sales associates from a particular store have a bell-shaped distribution with a mean of $32,500 and a standard deviation of $2,500. Refer to Exhibit 3-3. The z-score for a sales associate from this store who earns $37,500 is
Suppose annual salaries for sales associates from a particular store have a bell-shaped distribution with a mean of $32,500 and a standard deviation of $2,500. Refer to Exhibit 3-3. The z-score for a sales associate from this store who earns $37,500 is
To find the z-score for a sales associate who earns $37,500, we can use the formula:
z = (x - μ) / σ
Where:
x is the value we want to convert to a z-score (in this case, $37,500),
μ is the mean of the distribution (in this case, $32,500), and
σ is the standard deviation of the distribution (in this case, $2,500).
Substituting the given values into the formula, we have:
z = (37,500 - 32,500) / 2,500
z = 5,000 / 2,500
z = 2
Therefore, the z-score for a sales associate who earns $37,500 is 2.
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The z-score for a sales associate earning $37,500 in a system where the mean salary is $32,500 and the standard deviation is $2,500 has a z-score of 2. This score indicates that the associate's salary is two standard deviations above the mean.
Explanation:The z-score represents how many standard deviations a value is from the mean. In this case, the value is the salary of a sales associate, the mean is the average salary, and the standard deviation is the average variation in salaries.
We calculate the z-score by subtracting the mean from the value and dividing by the standard deviation, like so:
Z = (Value - Mean) / Standard Deviation
So, the z-score for an associate earning $37,500 would be:
Z = ($37,500 - $32,500) / $2,500
This gives us a z-score of +2, indicating that a salary of $37,500 is two standard deviations above mean.
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Refer to your Expeditions in Reading book for a complete version of this text.
Which detail from “The Gold Coin” best supports the inference that Juan is beginning to enjoy reconnecting with people?
The detail from “The Gold Coin” that best supports the inference that Juan is beginning to enjoy reconnecting with people is when he helps the old woman carry her basket of fruit.
How does this detail support the inference ?Juan is a thief, and he has been for many years. He has no friends, and he doesn't care about anyone but himself. But when he sees the old woman struggling with her groceries, he stops and helps her.
This act of kindness shows that Juan is beginning to change. He is starting to care about other people, and he is starting to understand that there is more to life than just stealing. This is a significant development in Juan's character, and it suggests that he is on the road to redemption.
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for question 44 is f(2pi/4) a positive or a negative number
Please help
Answer:
Amplitude = 3
Period = π
Step-by-step explanation:
\(\boxed{\begin{minipage}{8.7cm}\underline{Standard form of a cosecant function}\\\\$y=A\csc(Bx)$\\\\where:\\\\\phantom{ww}$\bullet$ $|A|$ is the stretch factor. \\ \\\phantom{ww}$\bullet$ $\dfrac{2\pi}{|B|}$ is the period.\\\\\phantom{ww}$\bullet$ $x=\dfrac{\pi}{|B|}$ is the interval of vertical asymptotes.\\\end{minipage}}\)
Given function:
\(f(x)=3 \csc 2x\)
Therefore:
A = 3B = 2Period
\(\textsf{Period} = \dfrac{2 \pi}{|B|}=\dfrac{2 \pi}{|2|}=\pi\)
Amplitude
The amplitude of the given function is 3, so:
minimum points are when y = 3.maximum points are when y = -3.x-values of minimum points
\(\begin{aligned}3\csc(2x)=3 \implies \csc(2x)&=1\\\dfrac{1}{\sin(2x)}&=1\\\sin(2x)&=1\\2x&=\dfrac{\pi}{2}+2\pi n\\x&=\dfrac{\pi}{4}+\pi n \end{aligned}\)
\(\implies \textsf{Minimum points}: \left(\dfrac{\pi}{4}\pm \pi n,3 \right)\)
x-values of maximum points
\(\begin{aligned}3\csc(2x)=-3 \implies \csc(2x)&=-1\\\dfrac{1}{\sin(2x)}&=-1\\\sin(2x)&=-1\\2x&=-\dfrac{\pi}{2}+2\pi n\\x&=-\dfrac{\pi}{4}+\pi n \end{aligned}\)
\(\implies \textsf{Maximum points}: \left(-\dfrac{\pi}{4}\pm \pi n,-3 \right)\)
Asymptotes:
\(\implies x=\dfrac{\pi}{|B|}=\dfrac{\pi}{|2|}=\dfrac{1}{2} \pi\)
Therefore, there are vertical asymptotes every ¹/₂π.
To graph the given function:
\(\textsf{Draw vertical asymptotes at} \;\;x = 0 + \dfrac{\pi}{2} n\)\(\textsf{Plot minimum points at}\; \left(\dfrac{\pi}{4}\pm \pi n,3 \right)\)\(\textsf{Plot maximum points at}\; \left(-\dfrac{\pi}{4}\pm \pi n,-3 \right)\)Draw curves between the asymptotes with the given min/max points.A normal population has mean μ= 34 and standard deviation σ= 10.(a) What proportion of the population is between 10 and 20?(b) What is the probability that a randomly chosen value will be between 28 and 38?
After considering the given data we conclude that the answers to the sub questions are
a) the proportion of the population between 10 and 20 is approximately 0.0808.
b) the probability Of randomly selecting the value that will be between 28 and 38 is approximately 0.4251.
a) To find the proportion of the population between 10 and 20, we need to calculate the z-scores for these values and use a standard normal distribution table or calculator to find the corresponding probabilities. The z-score for 10 is:
\(z = (10 - 34) / 10 = -2.4\)
The z-score for 20 is:
\(z = (20 - 34) / 10 = -1.4\)
Using a standard normal distribution table or calculator, we can find that the probability of a z-score between -2.4 and -1.4 is approximately 0.0808.
Therefore, the proportion of the population between 10 and 20 is approximately 0.0808.
b) To find the probability that a randomly chosen value will be between 28 and 38, we can use the same method as in part (a). The z-score for 28 is:
\(z = (28 - 34) / 10 = -0.6\)
The z-score for 38 is:
\(z = (38 - 34) / 10 = 0.4\)
Using a standard normal distribution table or calculator, we can find that the probability of a z-score between -0.6 and 0.4 is approximately 0.4251.
Therefore, the probability that a randomly chosen value will be between 28 and 38 is approximately 0.4251.
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A sample consists of every 49th student from a group of 496 students. Identify which of these types of sampling is used: Stratified, systematic, cluster, random.
The sampling method used is systematic sampling.
This is because each 49th student is chosen from the population of 496 students.
In systematic sampling, a starting point is selected randomly, and then each nth item in the populace is selected.
In this case, the start line might also have been randomly chosen, however we do not have information approximately that.
However, when you consider that every 49th pupil is selected, this is a clear indication that methodical sampling has been employed.
This sampling technique is often used in conditions in which the population is huge and it isn't viable to select each single item from the population.
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Time (hours) 2 4 6 8
Distance (miles) 8 16 24 32
Is the linear relationship also proportional? Explain.
Yes, the constant of proportionality is 4.
Yes, there is no constant of proportionality.
No, the constant of proportionality is 4.
No, there is no constant of proportionality.
The linear relationship between time and distance can be considered proportional. The constant of proportionality in this case is 4.
In a proportional relationship, the ratio between the two quantities remains constant. Here, as time increases by 2 hours, the distance also increases by 8 miles. Let's calculate the ratio of distance to time for each pair of values:
For the first pair (2 hours, 8 miles):
Ratio = distance / time = 8 miles / 2 hours = 4 miles/hour
For the second pair (4 hours, 16 miles):
Ratio = distance / time = 16 miles / 4 hours = 4 miles/hour
For the third pair (6 hours, 24 miles):
Ratio = distance / time = 24 miles / 6 hours = 4 miles/hour
For the fourth pair (8 hours, 32 miles):
Ratio = distance / time = 32 miles / 8 hours = 4 miles/hour
As we can see, the ratio of distance to time remains constant at 4 miles per hour for all the pairs. This indicates a proportional relationship between time and distance.
Therefore, the linear relationship is also proportional, and the constant of proportionality is 4.
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If an = 7, then what is An+1 an ? n! Select one: O None of the others O n nt n+1 7 0 n+1 7 n+1 O 7
The answer is "n+1" because the expression "An+1" represents the term that comes after the term "An" in the sequence.
In this case, since An = 7, the next term would be A(n+1). The expression "n!" represents the factorial of n,
which is not relevant to this particular question.
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Sarita deposits $1,00 in an account paying 3.4% annual interest compounded continuously. Use the formula to continuous compounded interest, A=Pe rt , where p is the principal, r is the annual interest rate, and t is the time in years.
A. What is the balance in Sarita's account after 5 years?
B.How long will it take the balance in Sarita's account to reach $2,000
Answer:
Step-by-step explanation:
a : 1,000
b : 350
Although a football field appears to be flat, some are actually shaped like a parabola so that rain runs off to both sides. The cross section of a field can be modeled by y = -0.000234x (20 160), where x and y are measured in feet. What is the width of the field? What is the maximum height of the surface of the field? Round your answers to the nearest tenth, if necessary.
The width of the field is feet. The maximum height of the field is about fleet.
Answer:
The ends of the field are at the zeros (x-intercept) of the function.
0 = -0.000234(x - 80)2 + 1.5 subtract 1.5 from both sides
-1.5 = -0.000234(x - 80)2 divide both sides by right coefficient
6410.25641 = (x - 80)2 take square root of both sides
80.064 = x - 80 add 8-0 to both sides
160.064 = x
The field is 160.064 feet wide.
The maximum is at the vertex, y = 1.5 feet
Step-by-step explanation:
12
10. Find the value of x given ACAB – ADFE.
D
as
A
30
21
77
11x + 11
B
Answer
a
Step-by-step explanation:
The lowest temperature on a winter morning was –8$F. Later that same day the temperature reached a high of 24$F. By how many degrees Fahrenheit did the temperature increase?
Answer:
32 Fahrenheit
Step-by-step explanation:
Since it is -8, subtract -8.
Now, you have 0 Fahrenheit.
Then, you add 24, since the high was -24 Fahrenheit.
The total number you added and subtracted is 32 Fahrenheit.
Hope this helps!
What is the opposite of negative 21 or -21
Answer:
21
Step-by-step explanation:
thats the opposite of negative 21
Answer:
positive 21
Step-by-step explanation:
Which is the most reasonable way to estimate 26% of 88?
One-fifth(90)
One-fifth(80)
One-fourth(90)
One-fourth(80)
Answer:
1/4(90)
Step-by-step explanation:
The most reasonable way to estimate 26% of 88 is one-fourth of 90. Therefore, the correct option is C.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, 26% of 88.
Now, 26/100 ×88
= 0.26×88
= 22.88
A) 1/5 ×90
= 18
B) 1/5 ×80
= 16
C) 1/4 ×90
= 22.5
D) 1/4 ×80
= 20
Therefore, option C is the correct answer.
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A recent study focused on the method of payment used by college students for their cell phone bills. Of the 1,220 students surveyed, 600 stated that their parents pay their cell phone bills. Use a 0.01 significance level to test the claim that the majority of college students' cell phone bills are paid by their parents.
Identify the null and alternative hypotheses for this scenario.
Test the claim that the majority of college students' cell phone bills are paid by their parents.
The significance level of 0.01 indicates that we want to use a 1% level of significance to evaluate the evidence against the null hypothesis.
The null and alternative hypotheses for testing the claim that the majority of college students' cell phone bills are paid by their parents can be stated as follows:
Null hypothesis (H0): The majority of college students' cell phone bills are not paid by their parents.
Alternative hypothesis (Ha): The majority of college students' cell phone bills are paid by their parents.
In this scenario, the null hypothesis assumes that the proportion of college students whose parents pay their cell phone bills is less than 50% (not a majority), while the alternative hypothesis suggests that the proportion is greater than or equal to 50% (a majority). The significance level of 0.01 indicates that we want to use a 1% level of significance to evaluate the evidence against the null hypothesis.
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Picture kansnaiks snaijskxkxkks
Answer:
I said right foot creep looking in that heat make sure it stay low make sure they don't see the devil under your feet your on the way to see em
this question don't make sense
The equation represent y as a function of x. Identify the slope and y-intercept for this linear function.
y = 8-3x
Slope =
y-Intercept =
Answer:
y= 8
Step-by-step explanation:
y = 8 - 3x
y = 8-3*0
y = 8
Given equation is
\(y = 8 - 3x\)
we need to identify the slope and y intercept of this function.
We know that standard form of slope intercept form as
\(y = mx + c\)
where ,
m is slopec is y interceptWe can convert the given equation into standard form as ,
\(\longrightarrow y = -3x + 8 \)
On comparing to the standard form, we have ;
\(m = - 3\)\(c = 8\)And we are done!
7x^2-34=2x^2+16
solving quadratic equation using square root
According to the given information, the solutions to the equation 7x²-34=2x²+16 are x = √10 and x = -√10.
What is quadratic equation?
A quadratic equation is a second-degree polynomial equation of the form ax² + bx + c = 0 where a, b, and c are constants, and x is the variable.
To solve for x in the equation 7x²-34=2x²+16 using square roots, we can first simplify the equation by moving all the x² terms to one side and all the constant terms to the other side:
7x² - 2x² = 16 + 34
5x² = 50
5x²/5 = 50/5
x² = 10
Finally, we can take the square root of both sides (remembering to include both the positive and negative square root, since x could be positive or negative):
x = ±√10
Therefore, the solutions to the equation 7x²-34=2x²+16 are x = √10 and x = -√10.
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Steps for solving 4(3x - 6) = 24 are shown.
4(3x - 6) - 24
12x - 24 - 24
12x - 24+24 24+24
12x - 48
12x 48
12 12
X-4
Original Equation
Step 1
Step 2
Step 3
Step 4
Step 5
Which of these is not part of the solution process?
O A. Simplifying by combining variable terms
B. Adding 24 to both sides to isolate the variable term
C. Dividing both sides by 12 to isolate the variable
D. Using the distributive property
Answer:
simplifying by combining variable terms
Step-by-step explanation:
The step "simplifying by combining variable terms" is not part of the solution process option (A) is correct.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The linear equation in one variable is:
4(3x - 6) = 24
12x - 24 = 24 (distributive property)
Adding 24 to both sides to isolate the variable term:
12x - 24 + 24 = 24 + 24
12x = 48
12x/12 = 48/12 (Dividing both sides by 12 to isolate the variable)
x = 4
Thus, the step "simplifying by combining variable terms" is not part of the solution process option (A) is correct.
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A middle school took all of its 6th-grade students on a field trip to see a ballet at a theater that has 1500 seats. The students filled 1320 of the seats in the theater. What percentage of the seats in the theater were filled by the 6th graders on the trip?
The percentage of the seats in the theater that were filled by the 6th graders on the trip is 88%.
What percentage of the seats in the theater were filled by the 6th graders on the trip?Given that the middle school took all of its 6th-grade students on a field trip to see a ballet at a theater that has 1500 seats and the students filled 1320 of the seats in the theater.
The percentage of the seats in the theater were filled by the 6th graders on the trip will be:
= Number of 6th graders / Total students × 100
= 1320 / 1500 × 100
= 88%
The percentage is 88%.
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Find the angles y and x
Answer:
x = 67
y = 23.5
Step-by-step explanation:
Sum of angles in a triangle is supplementary,
x + 90 + 23 = 180
x + 113 = 180
x = 180 - 113
x = 67
y = ?
180 - 67 / 2
= 133 / 2
= 66.5
y + 66.5 = 90
y = 90 - 66.5
y = 23.5
If 14 is 35% of a value, what is that value?
Pls help
Answer:
40
Step-by-step explanation:
14 = 35% of x
35% = 0.35
So lets make an equation and solve for x:
14 = 0.35x
x = 14÷0.35
x = 40
To check our answer let's put it back into the question :
35% of 40 = 14
10% = 4 , 30% = 12 , 5% = 2
35% = 12+2 = 14 ✅
Hope this helped and have a good day
Find the volume of a cone with a base diameter of 6 in and a height of 7 in.
Use the value 3.14 for , and do not do any rounding.
Be sure to include the correct unit in your answer.
Answer:
65.94cubic inch
Step-by-step explanation:
volume of cone = 1/3πr²h
=1/3×3.14×3²×7
=3.14×3×7
= 3.14×21
=65.95
unit is inch
then
65.94cubic inch
Darcy gave her nail technician a $5.10 tip. The tip was 6% of the cost of the manicure. Write an equation to find b, the cost of the manicure. If all percents are expressed as decimals, the equation manicure. can be used to find b, the cost of the
Darcy gave her nail technician a $5.10 tip.
Tip Amount = $5.10
The tip was 6% of the cost of the manicure.
b be the cost of the manicure
So,
6% of cost of the manicure= Tip Amount
6% of b = 5.10
Equation of the cost is :
\(\begin{gathered} \text{ 6\% of b =5.10} \\ 0.06\times b=5.10 \\ 0.06b=5.10\text{ is the required equation} \end{gathered}\)The equation is : 0.06b = 5.10
A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $800 and the daily rate for each partner is $1800. The law firm designated twice as many partners as associates to the case and was able to charge the client $17600 per day for these lawyers' services. Write a system of equations that could be used to determine the number of associates assigned to the case and the number of partners assigned to the case. Define the variables that you use to write the system.
The daily rate charged to the client for each associate is $800 and the daily rate for each partner is $1800. The equations that could be used to determine the number of associates assigned to the case and the number of partners assigned to the case is: 800 x + 1800 y = 17600.
EquationLet variable x = number of associates, assigned to the case
Let variable y = number of partners assigned to the case.
The system of equations to describe this are:
800 x + 1800 y = 17600
y = x + 2
Plugging equation 2 in equation 1, we get,
800 x + 1800(x+ 2) = 17600
2600 x + 3600 = 17,600
Collect like terms
2400 x = 14,000
Divide both side by 2400x
x = 14,000 / 2400
x = 5.8
x = 6 (Approximately)
So,
y = x + 2
y = 5.8 +3
y = 7.8
y = 8 (Approximately)
Therefore the number of associates assigned to the case were 6, and the number of partners associated to the case were 8.
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Find the slope and y -intercept of each line.. y=0.4-0.8 x
The slope of the given equation of the line is -0.8 and the y-intercept = 0.4.
What is the equation of a line to the curve?A line's equation has the standard form ax + by + c = 0. Here, the variables are x and y, the coefficients are a and b, and the constant term is c. It is a first-order equation with the variables x and y. The coordinates of the point on the line shown in the coordinate plane are represented by the values of x and y.Given: y = -0.8x + 0.4
As we know that the slop-intercept form of the equation of a line is given by: y = mx + c, where
m = slope of the linec = y-intercept of the lineOn comparing the given equation of line with the above form of equation of line, we get: m = -0.8 and c = 0.4.
Hence, The slope of the given equation of the line is -0.8 and the y-intercept = 0.4.
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A rectangle has a height of 4x^3 and a width of x^3+3x^2+2x Express the area of the entire rectangle.
46&¾(*'5⁴674+8555&-4$7
A mountain is in the shape of a cone whose height is about 3.8 kilometers and whose base radius is about 3 kilometers. Approximate the volume of the mountain in cubic kilometers.
The volume of the mountain is approximately cubic kilometers.
(Round to the nearest whole number as needed.)
Rounding to the nearest whole number, the approximate volume of the mountain is 36 cubic kilometers.
What is volume?Volume is a measure of the amount of space that a three-dimensional object occupies or contains. It is typically measured in cubic units, such as cubic meters, cubic centimeters, or cubic feet.
In the given question,
The volume of a cone can be calculated using the formula V = (1/3)πr²h, where r is the radius of the base, h is the height, and π is approximately 3.14.
Substituting the given values, we get:
V = (1/3) × 3.14 × 3² × 3.8
V ≈ 35.63
Rounding to the nearest whole number, the approximate volume of the mountain is 36 cubic kilometers.
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