Answer:
52.329km/hours
Step-by-step explanation:
x = speed
100/x - 100/(x+5) = 1/6
==> x= (5sqrt(481)-5)/2 = 52.329km/hours
Use a protractor to draw a quadrilateral so that three of its four sides measure 7 centimeters each. The angles between these sides have measures of 85° and 120°.
What is the length of the fourth side?
7.5 cm
8.6 cm
9.8 cm
10.1 cm
Answer:
the correct answer is 9.8cm
Step-by-step explanation:
took the test
Answer:
9.8cm
Step-by-step explanation:
Took the test on peak
HELP PLEASE!!!
If I was asked to think of a number and multiply it by 2, I could write this algebraically as 2x.
Write the following algebraically, using x as your unknown.
"I think of a number, multiply it by itself and then add 6 to the result."
Answer:
x^2 + 6
Step-by-step explanation:
X squared or "x^2" just means X times X. For example, 9^2=81 which is the same as 9x9. Then just add 6.
Hope this helps
Questions 1
Questions 2
A.>
B.<
C.=
Questions 3
Questions 4
Questions 5
A.>
B.<
C.=
The sum of 5/6 and 2/9 is: C. 1 1/18.
The sum of 1/2 and 2/3 is 7/6.
The fraction of the boys that have either blue or hazel eyes is: B. 1/2.
The sum of 7/10 and 1/4 is: D. 19/20.
The sum of 3/5 and 1/5 is 11/10.
What is a fraction?In Mathematics and Geometry, a fraction simply refers to a numerical quantity (numeral) which is not expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.
Based on the information provided above, each of the sums can be calculated as follows;
Fraction = 5/6 + 2/9
Fraction = (15 + 4)/18
Fraction = 19/18 = 1 1/18.
Fraction = 1/2 + 2/3
Fraction = (3 + 4)/6
Fraction = 7/6
Fraction = 1/5 + 3/10
Fraction = (2 + 3)/10
Fraction = 1/2
Fraction = 1/4 + 7/10
Fraction = (5 + 14)/20
Fraction = 19/20
Fraction = 3/5 + 1/2
Fraction = (6 + 5)/10
Fraction = 11/10
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how do i dertermine if x-1 is a factor of 3x^2-2x+5
The given polynomial is
\(3x^2-2x+5\)To know if the factor x-1 is a zero of the polynomial, we just have to replace x = 1 in the expression. If we get zero, then z-1 is a solution.
\(3(1)^2-2(1)+5=3\cdot1-2+5=3-2+5=1+5=6\)Since x = 1 didn't result in zero, we can deduct that x-1 is not a solution to the given expression.
The information in the chart gives the salary of a person for the stated years. Use the information for the years 2001 and 2003 to find an equation that models the data. Let x=1 represent 2001, x=3 represent 2003, and y represent the salary. Write the equation in slope-intercept form. Use this equation to approximate the salary for 2004 to the nearest dollar.Year2000 $23.5002001 $24.1002002 $25.2002003 $26.1002004 $27.200y=1000x+23,500; $27,500y=−1241x+23,500; $18,536y=28.1x+23,500; $23,612.4y=1000x; $4000
Equation representing the salary of 2004 in slope intercept form is y = 1000x + 23100, and the salary in 2004 is equal to $27100.
Equation that models the data for the years 2001 and 2003,
Slope and y-intercept of the line that passes through the points (1, 24100) and (3, 26100).
Slope is equal to,
m = (y₂ - y₁) / (x₂ - x₁)
⇒m = (26100 - 24100) / (3 - 1)
⇒m = 2000/2
⇒m = 1000
Y-intercept is equal to ,
b = y - mx
⇒ b = 24100 - 1000(1)
⇒ b = 23100
Equation in slope-intercept form that models the data is written as,
y = 1000x + 23100
To approximate the salary for 2004,
Substitute x = 4 into the equation and get the value of y,
⇒ y = 1000(4) + 23100
⇒ y = 27100
Therefore, the equation representing the approximate salary in 2004 is y = 1000x + 23100 and the salary for 2004 is approximately $27,100.
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what is x-2y=3 and 4x-8y=12
Answer:
2y x5
Step-by-step explanation:
you are building five identical pens adjacent to each other with a total area of 900m2, as shown in the figure below. what dimensions should you use to minimize the amount of fencing?
To minimize the amount of fencing needed, each of the five pens should have identical dimensions. To minimize the amount of fencing needed, each of the five pens should have dimensions of approximately 13.4 meters by 13.4 meters.
To minimize the amount of fencing for five identical pens adjacent to each other with a total area of 900m², you need to find the dimensions that minimize the perimeter. Let's denote the width of each pen as 'w' and the length as 'l'. Since there are five identical pens, the total width is 5w.
1. Write the area constraint equation:
Total area = 900m²
lw = 900
2. Express 'l' in terms of 'w':
l = 900/w
3. Write the perimeter equation:
Perimeter (P) = 6w + 3l
We use 6w because there are six widths (top and bottom of the pens) and 3l because there are three lengths (the sides of the pens).
4. Substitute 'l' from step 2 into the perimeter equation:
P = 6w + 3(900/w)
5. Differentiate P with respect to w:
dP/dw = 6 - (2700/w²)
6. Set dP/dw to 0 and solve for w:
6 - (2700/w²) = 0
2700/w² = 6
w² = 2700/6
w² = 450
w = √450 ≈ 21.21m
7. Find 'l' using the area constraint equation:
l = 900/w
l = 900/21.21 ≈ 42.43m
So, to minimize the amount of fencing, you should use dimensions of approximately 21.21m for the width (w) and 42.43m for the length (l) for each pen.
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The map shows the location of the mall, library, and school in the city; Brittany travels from the school to the mall and then from the mall to the library. Alice traveled directly from the school to the library. How many more miles to Britney travel than Alice? A. 8 miles B. 9 miles C. 10 miles D. 12 miles
Answer:A) 8 miles
Step-by-step explanation:
8 miles
Alaska, Hawaii and Washington have active volcanoes. Alaska has 43, Hawaii has 5 and Washington has v. If they have 52 active volcanoes in all, how many volcanoes does Washington have?
Answer:
five
Step-by-step explanation:
help me with both parts please
Given:
1.75 cups per batch
That is
\(\frac{1.75}{1.75}\) Cups per \(\frac{1}{1.75}\) batch = 1 cup per \(\frac{1}{1.75}\) batch
Therefore, 5.25 cups will make
\(5.25 *\frac{1}{1.75}\) Batches = \(\frac{5.25}{1.75}\) = 3 Batches
ANSWER being: 3 batches
This scale drawing shows a parking lot. What is the length of the longer side of the actual lot?
235 m
315 m
630 m
63 m
Answer:
630 m c
Step-by-step explanation:
because if you do the math it ahould be 630 m
A plumber charges $50 to visit a house plus $80 for every hour of work. Define a variable and write an expression to represent the total cost of hiring a plumber.
Answer:
50+80*x
Step-by-step explanation:
Explain why we are unable to simplify √-49
Answer & Step-by-step explanation:
In order to simplify a square root, you need to find a number that multiplied times itself equals the number in the radical. Now 7×7 is 49. Also, -7×-7 is 49 as well. But there is no number times itself that makes -49. No number times itself makes a negative number.
(You will, in time learn imaginary numbers in order to simplify this, but that can be for another day!)
PLEASE HELP ME <3!!!
Answer:
Wasim has enough money.
Step-by-step explanation:
1. find the area of the garden path:
600 cm x 120 cm = 72,000 sq. cm
2. find the area of each stone:
it is a square of 30 cm by 30 cm, so:
30 cm x 30 cm = 900 sq. cm
3. find how many stones can fit in the path:
72,000 / 900 = 80 stones
4. multiply that by the price of each stone:
80 stones x $2.50 = $200
Wasim's budget is $220 and the stones will only cost $200, so it is within the budget
A student can ride his bicycle at an average speed of 6 mph. If he cycles for 4 hours, how far can he travel Sedit 15 miles
A student can ride his bicycle at an average speed of 6 mph. If he cycles for 4 hours, how far can he travel 24 miles.
The overall distance the object covers in a given amount of time is its average speed. A scalar value represents the average speed. It has no direction and is indicated by the magnitude.
We can use the formula:
\(Distance = rate * time\)
To solve this problem.
The rate is given as 6 miles per hour, and the time is given as 4 hours.
So, we have:
distance = 6 * 4
Simplifying, we get:
distance = 24 miles
So, the student can travel 24 miles if he cycles for 4 hours at an average speed of 6 mph.
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How to average rates of change for f(x)=0. 1x squared, g(x)=0. 3x squared over the interval 1 ≤x≤4
The average rates of change for f(x)=0.1x squared, g(x)=0.3x squared is 0.5 and 1.3 over the interval [1,4].
In order to calculate the average rate of change of a function f(x) over an interval [a,b] we need to implement the formula
A(x) = {f(b) - f(a)] / (b – a)}
Here,
A(x)= average rate of change,
f(a) = value of function,
f(b) = value of function
given, from the question
f(x) = 0.1x^2
g(x) = 0.3x^2
The calculated interval is 1 ≤ x ≤ 4.
Therefore,
for f(x), we have staged the values as
A(x) = {f(4) - f(1)] / (4 - 1)}
= {(0.1 * 4^2) - (0.1 * 1^2)] / (4 - 1)}
= (1.6 - 0.1) / 3
= 0.5
for g(x), we have staged the values as
A(x) = {g(4) - g(1)] / (4 - 1)}
= {(0.3 * 4^2) - (0.3 * 1^2)] / (4 - 1)}
= (4.2 - 0.3) / 3
= 1.3
The average rates of change for f(x)=0. 1x squared, g(x)=0. 3x squared is 0.5 and 1.3 over the interval [1,4].
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Find the y-intercept of the line on the graph
Answer:
(0,-1)
Step-by-step explanation:
Answer:
(0,-1)
Step-by-step explanation:
for a confidence interval, decreasing the sample size will have what effect on the width of the confidence interval?
for a confidence interval, decreasing the sample size will have no effect on the width of the confidence interval
Value of Confidence Interval is from 0% to 100% as probability value lies from 0 to 1 for a given set of data values.
Value of Confidence Interval does not depend upon the Sample Size .It is always from 0% to 100% , whatever the width of sample size is.
As the sample size decreases, the width stays the same.
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What is the answer? Does anyone know?
Answer:
the answer is C <3
Step-by-step explanation:
Help please! I don't understand how to do this
9514 1404 393
Answer:
150° CCW
Step-by-step explanation:
Apparently, we are to assume that segment A'B' is a reflection across line m, and that segment A"B" is another reflection across line p. Then the total angle of rotation is double the angle between lines m and p. The smaller angle is the supplement of 105°, so is 75°. Double that is 150°
The angle of rotation to get from A to A" is 150°.
__
The center of rotation is the point of intersection of p and m.
1. Identify each number as rational or irrational. Give a reason for your choice.
Part I: The number 0.35 is a(n) _I
number because
Answer:
rational
Step-by-step explanation:
it can be written as a fraction
due to a slump in the economy a mutual fund has dropped by 30% from last year to this year if the fund is now worth $12,593, how much was the fund worth last year?
Let x represent the worth of the mutual fund last year. We were told that it dropped by 30%
Recall, percentage is expressed in terms of 100. Thus, the amount by which it dropped is
30/100 * x = 0.3x
if the fund is now worth $12,593, it means that
x - 0.3x = 12593
0.7x = 12593
x = 12593/0.7
x = 17990
The worth of the fund last year was $17990
Solve the system of equations using the substitution method. State your final answer as an ordered pair. DO NOT include spaces in your answer.
Solution
\(\begin{gathered} -4x+4y=-12 \\ y=-6x+18 \end{gathered}\)Using substitution method
substitute equation 2 into 1
\(\begin{gathered} -4x+4(-6x+18)=-12 \\ -4x-24x+72=-12 \\ -28x=-12-72 \\ -28x=-84 \\ divide\text{ both sides by -28} \\ x=3 \end{gathered}\)Now substitute x= 3 in equation 2
\(\begin{gathered} y=-6(3)+18 \\ y=0 \end{gathered}\)The final answer
\((3,0)\)all sides of a square are increasing at a rate of 4 centimeters per second. how fast is the area changing when each side is 10 centimeters?
Circumference of a circular disc is 157 cm, find its radius
Answer:
Owwwww would be a good time
Benny's arcade has five video game machines. The average time between failures (i.e. the average time between jobs) is 34 hours. The maintenance engineer can repair a machine in about 13 hours. Assume the failure time and repair times are both exponentially distributed. What is the average time in HOURS from when a machine breaks until it is fixed?
The average time in hours from when a machine breaks until it is fixed is approximately 11.3 hours.
Given,
Benny's arcade has five video game machines
The average time between failures = 34 hours
The maintenance engineer can repair a machine in about = 13 hours
The failure time and repair times are both exponentially distributed
The formula for the mean of an exponential distribution is mean = 1/λ where λ is the rate parameter of the distribution.
In this problem, the rate parameter of both the failure time and repair time is the reciprocal of their respective averages. Therefore,
λ_f = 1/34λ_r = 1/13
Now, let's find the average time from when a machine breaks until it is fixed using the fact that the sum of two independent exponential distributions with rate parameters λ1 and λ2 is itself an exponential distribution with rate parameter λ1+λ2.
So, the rate parameter for the time from when a machine breaks until it is fixed is λ_f+λ_r = 1/34+1/13
= 0.0885 hours⁻¹ (approximately)
Hence, the average time from when a machine breaks until it is fixed is mean = 1/λ= 1/0.0885 ≈ 11.3 hours (approximately).
Therefore, the average time in hours from when a machine breaks until it is fixed is approximately 11.3 hours.
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Name the geometric terms modeled by a wall and the floor. (Blank 1) Blank 1 options two lines intersecting in a point • two lines intersecting in a line • two planes intersecting in a line three planes intersecting in a point
Answer: Two planes intersecting in a line
Explanation:
The wall and floor are two different planes. They meet up to form a line which is the crease between them.
A plane is a flat surface without any bends or curves to it. In theoretical terms, planes go on forever in all directions. Realistically there are limits of course. The wall or floor cannot go on forever.
Another example of two planes would be found in a book. Each page is a plane. Two adjacent pages meet up to form a line (i.e. the spine of the book is a line).
\( {x}^{2} - 18 < 0\)
Answer
-sqrt(18)<x<sqrt(18)
Step-by-step explanation:
Factorise:(x-sqrt(18))(x+sqrt(18))<0Critical values:-sqrt18 and sqrt18Use number line or graphical methodTwelve months of sales data are provided in the table below
along with the associated seasonal relatives. This product
experiences a seasonal pattern that repeats every year. Create a
linear regressio
Linear regression is a technique used in statistics and machine learning to understand the relationship between two variables and how one affects the other.
In this case, we are interested in understanding the relationship between sales and seasonality. We can use linear regression to create a model that predicts sales based on seasonality. Here's how we can do it First, let's plot the data to see if there is a relationship between sales and seasonality.
We can see that there is a clear pattern that repeats every year. This indicates that there is a strong relationship between sales and seasonality. We can use the following equation: y = mx + b, where y is the dependent variable (sales), x is the independent variable (seasonality), m is the slope of the line, and b is the intercept of the line.
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What is the m∠ c? Enter your answer as a number.
Answer:
m∠C is 113°
Step-by-step explanation:
Well since we don't have the measurements of the sides to determine what kind of triangle this is. All we can do is take the fact that a triangle equals 180° and create and equation to solve for x.
\(180=30+37+x\)
\(180=67+x\)
\(67+x=180\\-67=-67\\\) Subtract 67 on both sides
\(180-67=113\)