Answer:
8
Step-by-step explanation:
how many 5-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, if repetition of digits is not allowed? unit test
Answer: 6×6×5×4×3 = 2160
Explanation: Five digit numbers can be formed.
You sold a total of 320 student and adult tickets for a total of $1200. Student
tickets cost $3 and adult tickets cost $8. How many adult tickets were sold?
Answer:
48 adult tickets were sold.
Step-by-step explanation:
Let's use algebra to solve this problem:
Let's define:
x: the number of student tickets soldy: the number of adult tickets soldFrom the problem statement, we know:
x + y = 320 (the total number of tickets sold is 320)3x + 8y = 1200 (the total revenue from ticket sales is $1200)We can use the first equation to solve for x in terms of y:
x = 320 - y
Substituting this expression for x into the second equation, we get:
3(320 - y) + 8y = 1200
Expanding the left side, we get:
960 - 3y + 8y = 1200
Simplifying, we get:
5y = 240
Solving for y, we get:
y = 48
Therefore, 48 adult tickets were sold.
Additional:
To find the number of student tickets sold, we can substitute y=48 into the first equation:
x + 48 = 320
x = 272
Therefore, 272 student tickets were sold.
Two lines that form a right angle at their point of intersection.A. PointB. Perpendicular Lines.C. Line.D. Collinear points.
Option B "Perpendicular Lines" is correct.
"Perpendicular Lines" are two lines that intersect at a right angle, forming 90-degree angles between them. Thus, Option B holds the truth.
Perpendicular lines are a fundamental concept in geometry and they are defined as two lines that meet at a right angle; forming four 90-degree angles. This means that the slopes of the two lines are negative reciprocals of each other. Perpendicular lines are important in many areas of mathematics and physics because they allow us to calculate angles, distances and other geometric properties.
Perpendicular lines are useful in many practical applications such as: architecture, engineering and construction. By understanding the properties of perpendicular lines, one can better understand the geometry of our world and solve real-world problems.
Learn more about Perpendicular lines brainly.com/question/1202004
#SPJ4
the measures of the bases of a trapezoid are 35 and 71. find the measure of the midsegment.
The length of midsegment of the trapizoid with bases 35 and 71 is 53.
What is a Trapizoid ?A trapezoid, commonly referred to as a trapezium, is a quadrilateral or a polygon with four sides. It has a set of parallel opposing sides and a set of non-parallel sides. The bases and legs of the trapezoid are known as the parallel and non-parallel sides, respectively.
A trapezoid is a closed, four-sided, two-dimensional shape that has both a perimeter and an area. The bases of the trapezoid are the two sides of the form that are parallel to one another. The legs or lateral sides of a trapezoid are the non-parallel sides. The altitude is the smallest distance between two parallel sides. Calculating a trapezoid's area is easy since its opposite sides are parallel to one another.
A trapezoid differs from other quadrilaterals in that it has the following characteristics:
The top and bottom bases are parallel to one another.A trapezoid's opposite sides (isosceles) are equal in length.Angles close to one another add up to 180 degrees.Both of the bases are parallel to the midline.The median length is the average of the two bases. i.e. (a +b)/2A trapezoid is referred to as a parallelogram if both pairs of its opposite sides are parallel.A trapezoid can be thought of as a square if all sets of opposing sides are parallel, all sides are equal length, and all sides are at right angles to one another.A trapezoid can be thought of as a rectangle if its opposite side pairs are all parallel, equal in length, and at right angles to one another.The length of midsegment is sum of bases divided by 2
therefore midsegment = (35 + 71)/2 = 53.
To learn more about Trapizoid refer to :
https://brainly.com/question/14265412
#SPJ1
someone please help me. show your work for brainliest.
find the center and radius of the circle represented by the equation x^2 + y^2 - 4y - 8 = 0
Answer:
Attached file
Step-by-step explanation:
Find a linear function h given h(-1)=-2 and h(-7)=-9 The linear function is h(x)= (Simplify your answer. Use integers or fractions for any numbers in the expression.)
h(x) = -7/6x - 25/6.
Given h(-1)=-2 and h(-7)=-9
For linear function h(x), we can use slope-intercept form which is y = mx + b, where m is the slope and b is the y-intercept.
To find m, we can use the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.
h(-1) = -2 is a point on the line, so we can write it as (-1, -2).
h(-7) = -9 is another point on the line, so we can write it as (-7, -9).
Now we can find m using these points: m = (-9 - (-2)) / (-7 - (-1)) = (-9 + 2) / (-7 + 1) = -7/6
Now we can find b using one of the points and m. Let's use (-1, -2):
y = mx + b-2 = (-7/6)(-1) + b-2 = 7/6 + b
b = -25/6
Therefore, the linear function h(x) is:h(x) = -7/6x - 25/6
We can check our answer by plugging in the two given points:
h(-1) = (-7/6)(-1) - 25/6 = -2h(-7) = (-7/6)(-7) - 25/6 = -9
The answer is h(x) = -7/6x - 25/6.
Know more about linear function here,
https://brainly.com/question/29205018
#SPJ11
3. In the equation y=bx+a, which variable is the slope and which is the intercept? 4. Given speed and stopping distance, which is the dependent variable, which is the independent variable? other, and the alternate hypothesis is that there will be an influence of one variable on another.
3. In the equation y = bx + a, the variable "b" represents the slope, and "a" represents the intercept.
4. The speed is considered the independent variable .
3. In a linear equation of the form y = mx + c (where m is the slope and c is the y-intercept), the equation y = bx + a is written in a slightly different format. The variable "b" is equivalent to the slope "m" in the traditional equation, and "a" represents the intercept. The slope (b) determines the rate at which the dependent variable (y) changes with respect to the independent variable (x), while the intercept (a) represents the value of y when x is zero.
4. Given speed and stopping distance, which is the dependent variable, which is the independent variable?
In the context of speed and stopping distance, the dependent variable would typically be the stopping distance, and the independent variable would be the speed.
The dependent variable is the one that is expected to change or be influenced by the independent variable. In this case, we assume that speed affects stopping distance. As the speed of a vehicle increases, it generally takes longer to bring the vehicle to a stop, resulting in a greater stopping distance. Therefore, stopping distance depends on the speed at which the vehicle is traveling.
Consequently, the speed is considered the independent variable since it can be controlled or varied, and we expect it to have an influence on the dependent variable, which is the stopping distance.
Alternate hypothesis:
The alternate hypothesis is formulated to suggest that there is an influence of one variable on another. In this scenario, the alternate hypothesis could be: "There will be a significant influence of speed on stopping distance."
By conducting an experiment or collecting data, one could test this hypothesis statistically to determine whether speed has a significant impact on stopping distance.
Learn more about independent variable here:
https://brainly.com/question/32767945
#SPJ11
A bottling company want to know if the average amount of amount of soda in their bottles is really 20 ounces. Quality control created a sampling distribution of samples size 50. The average of a sample was 19. 8 oz with a standard deviation of 0. 2. What is the mean and standard deviation of the population?
The mean and standard deviation of the population is 19.8 and 0.004 respectively.
Mean:
The mean is the simple mathematical average of a set of two or more numbers. The mean of a given set of numbers can be calculated in several ways, including the arithmetic mean, which uses the sum of the numbers in the range, and the geometric mean, which takes the mean product of a set. However, all major methods of calculating simple averages produce the same approximate result most of the time.
Standard Deviation:
In statistics, standard deviation is a measure of the amount of variation or distribution of a set of values. A low standard deviation indicates that the values tend to be close to the ensemble mean (also called the expected value), while a high standard deviation indicates that the values are spread over a wider range.
Given that:
E(x) = μ = 19.8
var(x) = σ²/n = 0.2/50 = 0.004
from here can say that mean = 19.8 and
standard Deviation is 0.004.
Now,
295 -298 P(Bottle x < 295) =P(Z< ) =-1.00 =.15873
Thus, there is nearly a 16% probability that just 1 randomly selected
bottle contains < 295 ml.
Learn more about Standard Deviation:
https://brainly.com/question/23907081
#SPJ4
suppose and are two vectors that form the sides of a parallelogram. then the lengths of the two diagonals of the parallelogram are . separate answers with a comma.
The lengths of the two diagonals of the parallelogram are D1 and D2, where:
D1 = ||A + B||
D2 = ||A - B||
Let's denote the vectors as vector A and vector B. The lengths of the two diagonals of the parallelogram can be calculated using vector operations.
The length of the first diagonal (D1) can be calculated using the formula:
D1 = ||A + B||
The length of the second diagonal (D2) can be calculated using the formula:
D2 = ||A - B||
Here, ||A|| represents the magnitude (length) of vector A, and ||B|| represents the magnitude of vector B.
Therefore, the lengths of the two diagonals of the parallelogram are D1 and D2, where:
D1 = ||A + B||
D2 = ||A - B||
Learn more about Parallelogram here:
https://brainly.com/question/28854514
#SPJ4
How many solutions does this system of equations have?
Exactly one
None
Infinitely many
Exactly two
Answer:
Infinitely many
Step-by-step explanation:
Computer equipment was acquired at the beginning of the vear at a cout of $73,700 that has an estimatod resduat value of 34,600 and an eatimated ustul life of 5years. a. Determine the depreciable cost. b. Determine the straight-tine rate. \% c. Determine the annual straight-hine depreciation.
The computer equipment was acquired at a cost of $73,700 with an estimated residual value of $34,600 and a useful life of 5 years. The depreciable cost of the equipment is $39,100. The straight-line rate is 20%, and therefore, the annual straight-line depreciation for the computer equipment is $7,820.
a. To determine the depreciable cost, we subtract the estimated residual value from the initial cost: $73,700 - $34,600 = $39,100.
b. The straight-line rate is calculated by dividing 100% by the estimated useful life of the equipment. In this case, the straight-line rate is 100% / 5 = 20% per year.
c. The annual straight-line depreciation is found by multiplying the depreciable cost by the straight-line rate. Thus, the annual depreciation is $39,100 * 20% = $7,820 per year.
By following these calculations, we can determine that the depreciable cost of the computer equipment is $39,100, the straight-line rate is 20%, and the annual straight-line depreciation amounts to $7,820.
Learn more about depreciation here:
https://brainly.com/question/17827672
#SPJ11
The temperature at noon is 0 degree celsius.The temperature changes by -3/2 celsius every hour for 4 hours. Write an expression to represent this situation.What is the temperature at 4:00 pm
Answer:
-6
Step-by-step explanation:
-3/2 x 4/1 = 12/2
Simply to -6/1 or -6
The required temperature would be -6°C at 4:00 pm, which is determined by the expression -3/2 × 4/1.
What is a numerical expression?A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.
At midday, the temperature is 0 degrees Celsius. For four hours, the temperature decreases by -3/2 degrees Celsius per hour.
According to the given condition, we can write the expression as:
⇒ -3/2 × 4/1
⇒ -12/2
Apply the division operation to get the solution
⇒ -6
So, the time at which the temperature goes -6°C is 4:00 PM.
Therefore, the required temperature would be -6°C at 4:00 pm.
To learn more about numerical expression click here :
https://brainly.com/question/6037813
#SPJ5
Rational Exponents Practice- Practice (1-10)
4. Write the expression in rational form. (1 point)
t^-3/4
A. ^4√t^3
B. 1/^4√t^3
C. -^4√t^3
D. -^3√t^4
Therefore, the expression \(t^{(-3/4)}\) in rational form is:
\(B. 1/^4 \sqrt {t^3}\)
What is the exponential function?
An exponential function is a mathematical function of the form:
f(x) = aˣ
where "a" is a constant called the base, and "x" is a variable. Exponential functions can be defined for any base "a", but the most common base is the mathematical constant "e" (approximately 2.71828), known as the natural exponential function.
To write the expression \(t^{(-3/4)}\) in rational form, we need to eliminate the negative exponent.
Recall that a negative exponent can be rewritten as the reciprocal of the positive exponent. In this case, \(t^{(-3/4)}\) can be written as 1/ \(t^{(-3/4)}\).
Therefore, the expression \(t^{(-3/4)}\)in rational form is:
\(B. 1/^4 \sqrt {t^3}\)
To learn more about the exponential function visit:
https://brainly.com/question/30241796
#SPJ4
Give the geometric representation of 2x+ 1= x-4 as an equation in (a) one variable (b) two variables
please help
Answer:
Step-by-step explanation:
2x+1=x-4
2x-x= -4-1
1x=-5
x=-5the derivative of a function f is given for all x by f ′ (x) = (2x 2 2x − 12) 1 g(x) 2 where g is some unspecified function. at which point(s) will f have a local maximum?
The points where f has a local maximum are the critical points of f(x) where g(x) = 0 and x < -1/2.
How we can get the point(s) where f have a local maximum?
To find the critical points of the function f(x), we need to find the values of x where f'(x) = 0.
f'(x) = (2x^2 + 2x - 12)^(1/2) * g(x)Setting f'(x) = 0, we get:
(2x^2 + 2x - 12)^(1/2) * g(x) = 0Since the square root term is always non-negative, we must have g(x) = 0. Therefore, the critical points of f(x) occur at the values of x where g(x) = 0.
To determine whether these critical points correspond to local maxima or minima, we need to examine the second derivative of f(x) at these points.
f''(x) = [g(x) * (4x+2)] / [(2x^2+2x-12)^(1/2)]At a critical point where g(x) = 0, the second derivative simplifies to:
f''(x) = (2x+1) / [(2x^2+2x-12)^(1/2)]To determine whether this value is positive or negative, we can examine the sign of (2x+1). If (2x+1) > 0, then f''(x) > 0 and the critical point corresponds to a local minimum. If (2x+1) < 0, then f''(x) < 0 and the critical point corresponds to a local maximum.
Therefore, to find the points where f has a local maximum, we need to solve the inequality (2x+1) < 0.
2x + 1 < 0
2x < -1
x < -1/2
Learn more about Local Maximum
brainly.com/question/28983838
#SPJ11
Find x if 75% of x = 27.
36
that is the answer
Answer:
36%
Step-by-step explanation:
"Percent'' or ''%'' means ''out of 100'' or '' per 100'',
Therefore x% can be written as x/100.
So we can write and solve for x;
27/75= x/100
100 X 27/75 = 100 X x/100
2700/75 = 100 X x/100
36=x
27/75= 36/100= 36%
Hope this helped
2.5 lb; ounces
I need steps by steps
Answer:
2.5 lbs = 40 Ounces
Step-by-step explanation:
Conversion factor: 1 lb = 16 oz
1) Ounce = Pound * 16
2) Ounce = 2.5 * 16
3) Ounce = 40
Multiply 2 to the odd position number then adding -4 to the even position number stating 3. ( complete the number pattern
__,__,__,__,__,__,__,__,__,__
A complete list of the numbers in the pattern: 3, 6, 10, 14, 18, etc.
How to calculate the valueThe number pattern you described is as follows:
3,
(2*5)-4 = 6,
(2*7)-4 = 10,
(2*9)-4 = 14,
(2*11)-4 = 18,
The first number is 3, and then each subsequent number is found by multiplying the previous odd number by 2 and then subtracting 4.
For example, the second number is found by multiplying the first number by 2 and then subtracting 4, which gives us 6. The third number is found by multiplying the second number by 2 and then subtracting 4, which gives us 10.
Learn more about numbers on
https://brainly.com/question/25734188
#SPJ1
Which of the following coordinates represent a point on the y-axis? Choose all that apply.
A. left-parenthesis 0 comma negative 4 right-parenthesis
B. left-parenthesis 1 comma 1 right-parenthesis
C. left-parenthesis negative 2 comma 0 right-parenthesis
D. left-parenthesis 0 comma 3 right-parenthesis
Answer:
the kahn anwser is c
Step-by-step explanation:
richard klein works as auto mechanic and earns the following commission rates 3.00 percent for oil changes 5.00 percent for tune ups and 6.25 percent on auto parts sales he is guaranteed a minimum salary of $2,450.00 per month last month he brought in $2,500.00 in oil changes $4,500.00 in tune ups and sold $28,200.00 in parts what is his gross pay for the month
Answer:Richard Klein Gross pay for the month=$4,512.50
Step-by-step explanation:
Richard Klein guaranteed minimum salary per month = $2,450.00
Commission for oil changes =3% x $2,500.00 = $75
Commission for tune ups =5% x $4,500.00=$225
Commission for auto part sales =6.25% x $28,200.00 =$1,762.5
Richard Klein Gross pay for the month=guaranteed minimum salary per month + his commissions on oil changes, tune ups and auto part sales
= $2,450.00 $75+ $225+ $1,762.5 = $4,512.50
a math professor finds that when she schedules an office hour for student help, an average of 2.5 students arrive. find the probability that in a randomly selected office hour, the number of student arrivals is 4 .
The probability that 4 students arrive during a randomly selected office hour is 0.134, or about 13.4%.
To find the probability that 4 students arrive during a randomly selected office hour, we need to use the Poisson distribution formula.
The Poisson distribution is used to model the number of events that occur in a fixed interval of time or space.
The formula for the Poisson distribution is:
P(X = x) = (e^-λ * λ^x) / x!
Where X is the number of events, λ is the average number of events per interval, and e is the mathematical constant e.
In this case, λ = 2.5, since the average number of students who arrive during an office hour is 2.5. So, we can plug in λ and x = 4 into the formula:
P(X = 4) = (e^-2.5 * 2.5^4) / 4!
P(X = 4) = (0.082 * 39.0625) / 24
P(X = 4) = 0.134
To learn more about probability click here
brainly.com/question/30034780
#SPJ11
Random sampling complicates the analysis of cross-sectional data.
a. True
b. False
Random sampling do not complicates the analysis of cross-sectional data
Sampling is just an action of taking samples or subsets of a given data set for analysis. This means that when sampling is done, the next stage for the samples, are for them to be analyzed.
There different methods of sampling including random sampling. In this type, each member of the samples have equally probability of being chosen.
A cross-sectional data analysis is the analysis of samples or subsets at a fixed point in time. A systematic random sampling method is used in the analysis of cross-sectional data. And when this used, then each combinations of individuals samples in a data set has an equal chance of being selected.
Hence, the statements that says random sampling complicates the analysis of cross-sectional data is False.
Learn more about random sampling here:
https://brainly.com/question/24466382
#SPJ4
Please help on this I’m lost
Answer:
B) Reflect triangle ABC across line BC
and the 2nd one is also B
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Kyle baked 20 cookies. If
1
4
of the cookies are chocolate chip, how many chocolate chip cookies did he bake?
Answer:
5
1/4 of 20 is 5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
20x1/4 or 20÷4=5
Please help!! It is NOT answer A.
Javier wants to prove that triangle MNP is similar to triangle RSP.
What missing piece of information does Javier need to prove that triangle MNP is similar to triangle RSP by the Angle-Angle Similarity Postulate?
A) Javier needs to know the measure of angle P.
B) Javier needs to know the measure of angle M.
C) Javier needs to know the measure of angle S.
D) Javier needs to know that segment MN is parallel to segment SR.
Answer:
D
Step-by-step explanation:
If you MN goes parallel to SR, and SP and RP are on the line, then the triangle is similar.
Answer:
D) Javier needs to know that segment MN is parallel to segment SR.
Step-by-step explanation:
that should be the answer
Casey is altering dance costumes for an upcoming recital. The number of costumes she can alter varies directly with the amount of time spent working. If casey can alter four costumes in one hour, find the number of costumes she can alter in four and a half hours.
Using the properties of unit rate we can calculate that Casey can alter 18 costumes in 1 hour.
In mathematics, a rate is the ratio of two related variables expressed in distinct units. If one of these variables is expressed as a single unit in the ratio's denominator, and it is assumed that this quantity can be modified on a regular basis (i.e., is a variable and the independent), the ratio's numerator expresses the comparable rate of change in another (dependent) variable.
A rate is generally thought of as an output-input ratio or a benefit-cost ratio. Miles per hour, for example, is the output (or profit) in terms of miles travelled from travelling somewhere for a few hours (a cost in time) (at this velocity).
Rate at which Casey can alter the clothes = 4 per hour. this is the unit rate.
Now the time allotted to Casey is 4.5 hours. So we multiply the time with the unit rate.
Number of costumes altered = 4 × 4.5 = 18 costumes .
To learn more about unit rate visit:
brainly.com/question/26059245
#SPJ1
Please help me with this question!
2. In June, a family used 3,500 gallons of water. In July, they used 15% more water,
Select all the expressions that represent the number of gallons of water the family
used in July
A. 3.500 + 0.15. 3,500
B. 3,500 +0.15
»
C. 3,500 - (1 - 0.15)
D. 3,500 - (1.15)
E. 3,500. (1 + 0.15)
Answer:
A. 3.500 + 0.15. 3,500
E. 3,500. (1 + 0.15)
Step-by-step explanation:
Gallons of water used in June = 3,500 gallons
In July, they used 15% more water
Water used in July = 3,500 + 15% of 3,500
= 3,500 + 0.15 * 3500
A. 3.500 + 0.15. 3,500
E. 3,500. (1 + 0.15)
= 3,500 * 1 + 3,500 * 3,500
= 3,500 + 0.15 * 3500
A parabola is defined as the set of points the same distance from (6,2) and line y=4. Select all points that are on this parabola
In conclusion there are no points among the given options that are on the parabola.
why it is?
The vertex of the parabola is the midpoint between the point (6, 2) and the line y = 4, which is at (6, 3). Since the focus is below the vertex and the directrix is a horizontal line, the equation of the parabola is of the form:
(x - h)²2 = 4p(y - k)
where (h, k) is the vertex and p is the distance from the vertex to the focus (and from the vertex to the directrix).
Using the vertex and the given point (6, 2), we can find that p = 1. Therefore, the equation of the parabola is:
(x - 6)²2 = 4(y - 3)
Now we can check which of the given points satisfy this equation:
A. (4, 6)
(4 - 6)²2 = 4(6 - 3)
4 = 12 - 12
This point is not on the parabola.
B. (5, 7)
(5 - 6)²2 = 4(7 - 3)
1 = 16
This point is not on the parabola.
C. (6, 5)
(6 - 6)²2 = 4(5 - 3)
0 = 8
This point is not on the parabola.
D. (7, 6)
(7 - 6)²2 = 4(6 - 3)
1 = 12
This point is not on the parabola.
E. (8, 5)
(8 - 6)²2 = 4(5 - 3)
4 = 8
This point is not on the parabola.
Therefore, there are no points among the given options that are on the parabola.
To know more about Parabola related questions, visit:
https://brainly.com/question/21685473
#SPJ1
Complete question:
Which points are on the parabola defined as the set of points the same distance from (6,2) and the line y=4?
What is the value of s^2t for s = 7 and t = 20? as a whole number
Answer:
7^40 is umm I don't know sorry
Step-by-step explanation:
But hopefully it's helpful.
Answer:
steps below
Step-by-step explanation:
if your problem is s²ⁿ = s²*²⁰ = s⁴⁰ (n replace your t)
s²ⁿ = 7⁴⁰ = 6366805760909027985741435139224001
if the problem is s² x 20 = 7² x 20 = 980