Answer:
i d k 20???????????
Step-by-step explanation:
Answer:
The visitor attended no special exhibits and so paid a total of $10 just to get in.
An equation to represent the cost of admission could look like this:
f(x) is the total cost.
x is the number of special exhibits attended.
f(x) = 2x + 10
If I see no special exhibits on my visit,
x = 0, then
f(0) = 2•0 + 10
f(0) = 10
I only pay $10.
PLEASE HELP ME ILL RATE YOU 5 STARS AND GIVE U BRAINLY
The ascending order of the set of numbers is √3 - 1, 2√10 ÷ 5, √14, 3√2, √19 + 1, 6
Given,
A set of numbers;
3√2, √3 - 1, √19 + 1, 6, 2√10 ÷ 5, √14
We have to arrange this numbers from least to greatest. That is, in ascending order.
Ascending order;
Numbers can be arranged in ascending order, from least value to highest value. The arrangement is left to right. Increasing order is another name for ascending order.
Here,
First we have to find the values of the square roots in the numbers.
3√2 = 4.24
√3 - 1 = 0.73
√19 + 1 = 5.36
6
2√10 ÷ 5 = 1.26
√14 = 3.74
Then,
6 is the greatest number and √3 - 1 is the least number.
That is,
The ascending order of the set of numbers is √3 - 1, 2√10 ÷ 5, √14, 3√2, √19 + 1, 6
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Two airplanes leave an airport at the same time and travel in opposite directions. One plane travels 89 km/h slower than the other. If the two planes are 3254 kilometers apart after 2 hours, what is the rate of each plane?
Answer:
769 and 858
Step-by-step explanation:
Every hour, the distance between the two planes increases by 2x + 89
2 hours = 4x + 178
3254 = 4x + 178
4x = 3076
x = 769
helppppp!!!!!!! 16 points if solveddd!!!!!!!!
Answer:
£94
Step-by-step explanation:
24+ (14×5) = £94
p.s pls give brainliest answer :)
PLEASE HELP!!!!!
Which of the following equations represents the line that passes through the point (4, 3) and has a slope of 1/2?
A) 2x-3y=-18
B)2x-3y=17
C)3x-2y=-17
D)3x-2y-18
The equation of a line that passes through the point (4, 3) and has a slope of 1 / 2 is y = 1 / 2 x + 1.
How to find the equation of a line?The equation of a line that passes through a point can be describe as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, the line passes through (4, 3) and the slope is 1 / 2.
Hence, let's find the y-intercept using (4, 3)
y = 1 / 2 x + b
3 = 1 / 2 (4) + b
3 = 2 + b
b = 3 - 2
b = 1
Therefore, the equation of the line is y = 1 / 2 x + 1.
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Please help I will give brainliest
The value of x in the triangle is 3.
How to find the angles in a triangle?The exterior angle of the triangle is VBC.
Using the exterior angle theorem, the value of x can be found in the triangle.
The exterior angle theorem states that the measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles.
In other words, an exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Therefore,
m∠D = 9x - 2
m∠C = 40°
m∠VBC = 20x + 5
Hence,
20x + 5 = 9x - 2 + 40
20x + 5 = 9x + 38
20x - 9x = 38 - 5
11x = 33
x = 33 / 11
x = 3
Therefore,
x = 3
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[x-6] +4 =10 solve for X
Answer:
x=12
Step-by-step explanation:
(x-6)=6
x=12
DS
6) You and five friends went out to a movie. You all
shared a large tub of popcorn that cost $16.50,
and you ordered individual boxes of candy that
cost $3,72 per person. You and your friends decide
to split the bill evenly. How much did each of you
pay?
Answer:
You would each pay $6.42
Have a good one!
At 6:00 A.M. the temperature was 5°F below zero. At noon the temperature was 2°F above zero. At 6:00 P.M. the temperature was 7°F above zero. Which equation shows the change in temperature from 6:00 A.M. to 6:00 P.M.?
A. |5 – 7| = |–2| = 2°F
B. |2 – 7| = |–5| = 5°F
C. |–5 – 2| = |–7| = 7°F
D. |–5 – 7| = |–12| = 12°F
Based on the temperature at 6:00 am and the temperature at 6:00pm, the change in temperature can be shown by the formula D. |–5 – 7| = |–12| = 12°F.
How to find the change in temperature?To find the change in temperature, you need to subtract the temperature at 6: 00 pm from the temperature at 6: 00 am.
The change in temperature is therefore:
= | temperature at 6 am - temperature at 6pm |
= | -5 - 7 |
= | - 12 °F|
The absolute value of - 12 °F is 12 °F which was therefore the change in temperature.
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Complete the explanation of the error.
If x²=81, then x = 9.
The value of x could also be
The square root of a number can also be negative number so x could also be -9
Taking square root of a numberSquare root of a number is the number such that if it is multiplied by itself we get the square. The opposite of squaring an integer is finding its square root. As we know multiplication of two negative numbers produce a positive number. this is the reason why square of both positive and negative numbers are both positive. therefore, square root of a number can also be positive or neegative both. That is why we can't take square root of negative numbers.
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A line contains the points (-21,-94) and
(-34,-172).
What is the slope of the line in simplified form?
Write the equation of the line that passes through
the given point and is parallel to the given line.
SEE EXAMPLE 1
15. (5, −4); y = ≤⁄x − 4
17. (-3, 2); y=-4
16. (2, 7); 3x - y = 5
18. (6, 4); 2x + 3y = 18
Answer:
I'll do #17 as an example of how to do the others. #15 doesn't make sense. What is "= ≤⁄x?"
Step-by-step explanation:
17. (-3, 2); y=-4
y=4 is a horizontal line, where all values of y are 4, regardless of x. A horizontal line has a slope of 0. [Y does not depend on x].
That leaves us with y =0x + b
For this line to go through point (-3,2), it would have to have a y-intercept (b) of 2 [b is the value of y when x=0]. Since y=0 regardless of x, b must be 2.
The parallel line that goes through (-3,2) is:
y = 0*x + 2, or
y = 2
What is the midpoint of A B if A = (−2, 2) and B = (3, −1)? Enter your answer in the boxes below. Midpoint of A B = ( , )
The coordinate of the midpoint AB is (1/2, 1/2)
How to determine the midpoint?From the question, the coordinates of the points are given as
A = (-2, 2)
B = (3, -1)
The midpoint of a line or points is then calculated using the following midpoint formula
Midpoint = 1/2 * (x₂ + x₁, y₂ + y₁)
Where x and y are the coordinates of A and B
Substitute the known values in the above equation
So, we have the following equation
AB = 1/2 * (-2 + 3, 2 - 1)
Evaluate the sum
AB = 1/2 * (1, 1)
Evaluate the products
AB = (1/2, 1/2)
Hence, the midpoint is (1/2, 1/2)
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The coordinates of quadrilateral ABCD are A (-6,2) B (-5,3) C (7,3) D (0,4). What are the coordinates of the image if the quadrilateral is translated 4 units down and 3 units right
If the coordinates of quadrilateral ABCD are A (-6,2) B (-5,3) C (7,3) D (0,4) and it is translated 4 units down and 3 units right, then the coordinates of the image is A'(-3,-2), B'(-2,-1), C'(10,-1) and D'(3,0)
The coordinates of the quadrilateral ABCD is
A (-6,2) , B(-5,3), C(7,3) and D(0,4)
The quadrilateral is translated 4 units down and 3 units right
After translation
A(x, y)⇒ A(x + a, y +b)
The value of a and b will be positive if the shift is right and up.
The value of a and b will be negative if the shift is left and down.
Therefore
a = 3, b = -4
The coordinates of A' =(-6+3,2-4)=(-3,-2)
The coordinates of B' =(-5+3,3-4)=(-2,-1)
The coordinates of C' =(7+3,3-4)=(10,-1)
The coordinates of D' =(0+3,4-4)=(3,0)
Hence, If the coordinates of quadrilateral ABCD are A (-6,2) B (-5,3) C (7,3) D (0,4) and it is translated 4 units down and 3 units right, then the coordinates of the image is A'(-3, -2), B'(-2, -1), C'(10, -1) and D'(3, 0)
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If the following fraction is reduced, what will be the exponent on the p ? -
2
5
4
3
The p has an exponent of 3 when the fraction is reduced
How to determine the exponent on p?The expression is given as
5p^5q^4/8p^2q^2
Remove all other variables, except the variable p
So, we have the following expression
p^5/p^2
Apply the law of indices in the above expression
So, we have the following equation
p^5/p^2 = p^5 - 2
Evaluate the difference
p^5/p^2 = p^3
The index on p is 3
Hence, the exponent on the p is 3
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Complete question
If the following fraction is reduced, what will be the exponent on the p? - 5p^5q^4/8p^2q^2 5 4 3 2
Which one is it because i thought it was 32g+26
The equivalent expression of 4(8g + 5) + 6 is 4(5 + 8g) + 6
How to find equivalent expression?Equivalent expressions are expressions that work the same even though they look different.
In other words, two expressions are said to be equivalent if they have the same value irrespective of the value of the variable(s) in them.
Therefore, let's find the equivalent expression of 4(8g + 5) + 6.
Hence,
4(8g + 5) + 6
32g + 20 + 6
32g + 26
Hence, the equivalent expression is 32g + 26 or 4(5 + 8g) + 6
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a binomial experiment with probability of success and trials is conducted. what is the probability that the experiment results in or more successes? do not round your intermediate computations, and round your answer to three decimal places. (if necessary, consult a list of formulas.)
The probability that the experiment results in 9 or more successes = 0.0676
A binomial distribution is given by,
P(X = x) = ⁿCₓ pˣ (1-p)ⁿ⁻ˣ ,
where p is the probability of success and x is the random variable for success in n trials.
A binomial experiment has only two outcomes- success or failure.
Here, the number of trials, n = 10
Probability of success = 0.63
The probability for 9 or more success = P( X = 9, 10)
= P (X = 9) + P(X = 10)
So P( X = 9) = ¹⁰C₉ (0.63)⁹ (1-0.63)¹⁰⁻⁹
= 10 x 0.0156 x 0.37
= 0.05772
and P(X = 10) = ¹⁰C₁₀ (0.63)¹⁰(1-0.63)¹⁰⁻¹⁰
= 1 x 0.009849 x 1
= 0.009849
Hence probability for 9 or more success = 0.05772 + 0.009849
= 0.067569
= 0.0676
The question is incomplete. Find the complete question below:
A binomial experiment with probability of success 0.63 and 10 trials is conducted. What is the probability that the experiment results in 9 or more successes? Do not round your intermediate computations, and round your answer to three decimal places. (If necessary, consult a list of formulas.)
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14#A corporation that maintains a large fleet of company cars for the use of its sales staff is interested in the mean distance driven monthly per salesperson. The following list gives the monthly distances in miles driven by a random sample of 11 salespeople.2482, 2300, 2640, 2085, 2425, 1851, 2346, 1876, 2444, 2153, 2290Send data to calculatorBased on this sample, find a 95% confidence interval for the mean number of miles driven monthly by members of the sales staff, assuming that monthly driving distances are normally distributed. Give the lower limit and upper limit of the 95% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place.
Solution
Given the data set 2482, 2300, 2640, 2085, 2425, 1851, 2346, 1876, 2444, 2153, 2290
The confidence interval formula is
Calculate the standard deviation of the data
The standard deviation is
237.67
Calculate the sample mean
The mean is 2262.91
[tex]\begin{gathered} s=237.67 \\ n=11 \\ mean=2262.909 \\ z=1.96 \end{gathered}[/tex][tex]\begin{gathered} CI=2262.909\pm1.96(\frac{237.67}{\sqrt{11}}) \\ CI=2262.909\pm1.96(71.6602) \\ CI=2262.909\pm140.453992 \\ CI\text{ = 2122.455008 to 2403.362992 to} \end{gathered}[/tex]Thus, the lower limit is
2122.455 ( 3 decimal places)
The Higher limit is 2403.363 ( 3 decimal places)
Solve the trig equation on the interval [tex]0 \leqslant theta \: \ \textless \ 2\pi[/tex][tex]3 sec \: \: theta \: - 2 \sqrt{3 } = 0[/tex]
Answer:
pi/6 and 11pi/6
Explanation
Given the trigonometry equation:
[tex]\begin{gathered} 3\text{sec}\theta\text{ - 2}\sqrt[]{3}=0 \\ \end{gathered}[/tex]Add 2\sqrt[3] to both sides as shown;
[tex]\begin{gathered} 3\sec \theta-2\sqrt[]{3}=0+2\sqrt[]{3} \\ 3\sec \theta\text{ = 2}\sqrt[]{3} \\ \sec \text{ }\theta\text{ = }\frac{2\sqrt[]{3}}{3} \\ \frac{1}{\cos \theta}=\frac{2\sqrt[]{3}}{3} \\ \cos \theta\text{ =}\frac{3}{2\sqrt[]{3}} \\ \cos \text{ }\theta\text{ = }\frac{3\sqrt[]{3}}{2\cdot3} \\ \cos \text{ }\theta\text{ = }\frac{\sqrt[]{3}}{2} \\ \end{gathered}[/tex]Take the cos inverse of both sides
[tex]\begin{gathered} \cos ^{-1}(\cos \theta)=cos^{-1}\frac{\sqrt[]{3}}{2} \\ \theta=cos^{-1}\frac{\sqrt[]{3}}{2} \\ \theta=30^0 \end{gathered}[/tex]Since theta is between 0 and 2pi
theta = 360 - 30
theta = 330^0
Convert to radians
180^0 = pi rad
30^0 = x
180x = 30pi
x = 30pi/180
x = pi/6
Similarly;
180^0 = pi rad
330^0 = x
180x = 330pi
x = 330pi/180
x = 11pi/6
Hence the value of thets between 0 and 2pi are pi/6 and 11pi/6
Any body know the answer to this question?
The curves are intersecting at (1, 1) and (-10, -4)
Nonlinear functions are the functions where the equations are not linear or the highest degree is more than 1. The following are some examples where the functions are not linear or non-linear. Ex. [tex]x^{2}[/tex] + 4x -1
In the above question, a graphical representation of non-linear system of equations is given
We need to find the solution of this non-linear system of equations based on the graphical representation
We can find the solutions from the graph, wherever the curves are intersecting, that intersection point is known as the solution of the non-linear system of equations
We can clearly see that, the curves are intersecting at
(1, 1) and (-10, -4)
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The curves are intersecting at (1, 1) and (-10, -4)
Nonlinear functions are the functions where the equations are not linear or the highest degree is more than 1. The following are some examples where the functions are not linear or non-linear. Ex. [tex]x^{2}[/tex] + 4x -1
In the above question, a graphical representation of non-linear system of equations is given
We need to find the solution of this non-linear system of equations based on the graphical representation
We can find the solutions from the graph, wherever the curves are intersecting, that intersection point is known as the solution of the non-linear system of equations
We can clearly see that, the curves are intersecting at
(1, 1) and (-10, -4)
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helppp !!!!!
given a circle with a diameter of eight what is the circumference?
Answer:
D
Step-by-step explanation:
the circumference (C) of a circle is calculated as
C = πd ( d is the diameter ) , then
C = π × 8 = 8π
Answer: C=2pir or diameter(pi)
Step-by-step explanation:
The diameter of a circle stretches from one side to the other, the Radius (r) goes from the center to the side meaning it is twice the diameter.
To solve this just half the diameter and insert it into the first equation or just plug it in for diameter.
The answer is
D. 8pi
Given the function f(x) = 8x + 7, find each of the following. f(1), f(-9), f(0)
Answer:
f(1) = 15
f(-9) = -65
f(0) = 7
Step-by-step explanation:
f(1) = 8(1) + 7
f(1) = 8 + 7
f(1) = 15
f(-9) = 8(-9) + 7
f(-9) = -72 + 7
f(-9) = -65
f(0) = 8(0) + 7
f(0) = 7
What is the area of a triangle whose vertices are D(1, 1), E(3, −1), and F(4, 4)
6 square units is area of a triangle whose vertices are D(1, 1), E(3, −1), and F(4, 4)
What is triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
The given three vertices are D(1, 1), E(3, −1), and F(4, 4)
we need to find the area of triangle
Area of triangle=1/2|x₁(y₂-y₃)+x₂(y₃-y₁)+x₃(y₁-y₂)|
x₁=1, x₂=3, x₃=4, y₁=1, y₂=-1, y₃=4
put in the formula
Area of triangle=1/2|1(-1-4)+3(4-1)+4(1-(-1))|
=1/2|-5+9+8)|
=1/2 |12|
=6 square units.
Hence 6 square units is area of a triangle whose vertices are D(1, 1), E(3, −1), and F(4, 4)
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my tutors keep getting cut off due to connection and i need help!!
Let:
(x1,y1) = (0,4)
(x2,y2) = (4,0)
The slope m is:
[tex]\begin{gathered} m=\frac{y2-y1}{x2-x1}=\frac{0-4}{4-0}=\frac{-4}{4}=-1 \\ \end{gathered}[/tex]Using the point slope equation:
[tex]\begin{gathered} y-y1=m(x-x1) \\ y-4=-1(x-0) \\ y=-x+4 \\ \text{ In standard form:} \\ x+y=4 \end{gathered}[/tex]please fill in the missing
The spaces with inputs; 5 has an output of 16 × 4 + 6 × 25, 100 has an output of 16 × 99 + 6 × 10000, and p has an output of 16 × (p-1)+ 6 × p².
How to fill the output spaces.Following the given three examples of the outputs from inputs 1, 3 and 7, we will discover a pattern of subtracting 1 from an input, multiply the result by 16, and then add the square of the input multiplied by 6 to it.
We will derive the missing outputs as follows;
For input 5:
5 - 1= 4
16 × 4
16 × 4 + 6 × 5²
16 × 4 + 6 × 25
For input 100:
100 - 1 = 99
16 × 99
16 × 99 + 6 × 100²
16 × 99 + 6 × 10000
For input p:
p - 1
16 × (p - 1)
16 × (p - 1) + 6 × p²
Hence, the input 5 gives an output 16 × 4 + 6 × 25, input 100 gives an output 16 × 99 + 6 × 10000 and input p gives an output of 16 × (p - 1) + 6 × p² from the reasoned pattern.
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gary gets an average of 15 text messages during his 8 hour work day. in order to find the probability that gary will get exactly 3 text messages in a 2 hour portion of his work day using the poisson distribution, what is the time interval of interest?
The probability that Gary will get exactly 3 text messages in a 2-hour portion of his work day using the Poisson distribution, what is the time interval of interest: 2 hours
Gary will get calls according to Poisson distribution with an average # of calls per hour = 15.
Let x be the Poisson random Variable Such that X ~Poisson (15).
We need to find P(x≤3) in 2 hours.
Thus, the time interval of interest is 2 hours.
What is probability ?
Probability is the likelihood of an event occurring. It can range from an impossible event to a probability to an absolute certainty. In mathematics, probability is on a scale of 0-1. Zero means the event is impossible, like rolling seven dice with only the numbers 1-6. One is an event that will happen, that's for sure. An example of a specific event is tomorrow is Friday if today is Thursday. It will definitely happen. The median is 0.5 or half and these events are equally likely. A good example of half probability is tossing a coin. It gets straight heads or tails.
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if one shirt costs £13,how many can I buy with £419?
Answer:
32 shirts
Step-by-step explanation:
419÷13
=32.230
Answer:
32
Step-by-step explanation:
419 divided by 13
= 32.230
provide an appropriate response. the length of time it takes college students to find a parking spot in the library parking lot follows a normal distribution with a mean of 7.0 minutes and a standard deviation of 1 minute. find the cut-off time which 75.8% of the college students exceed when trying to find a parking spot in the library parking lot.
By the distribution,6.3 minutes is the time limit that 75.8% of college students go over when looking for a parking space in the library parking lot.
Given that,
Finding a parking spot in the library parking lot takes college students an average of 7.0 minutes, with a standard deviation of 1 minute, according to a normal distribution.
Find the window of opportunity that 75.8% of college students miss when looking for a place in the library parking lot.
The following formula calculates the z-score of a measure X of a normally distributed variable with mean μ and standard deviationσ:
Z=(X-μ)/σ
The z-score calculates how far the measure deviates from the mean by standard deviation.
The p-value for this z-score, which is the percentile of X, can be obtained by looking at the z-score table.
The cut-off time is the 100th percentile minus 75.8th percentile, or X, for Z = -0.7, so:
Z=(X-μ)/σ
-0.7=(X-7)/1
-0.7=X-7
X=-0.7+7
X=6.3
Therefore, 6.3 minutes is the time limit that 75.8% of college students go over when looking for a parking space in the library parking lot.
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what’s is the expression that is equivalent (x^2-3x)(4x^2+2x-9)?
4x^4-10x^3-15x^2+27x
(use foiling)
Sandra purchased $1,200 worth of electronic equipment on her new credit card, with an annual interest rate of 14.99%. If she has no other charges on the card and does not pay off the balance at the end of the month, how much money will she owe the credit card company after 1 month? Estimate the interest using the monthly periodic rate.
Given data:
The given amount of equipment purchased by the Sandra is A=$1,200.
3. The following are the sizes in square feet of the seventeen new faculty office in the mathematics department at a college.102123142155104185159124154136113110107119120127155Find the mean square footage. Round your answer to the nearest tenth, if necessary. square feetFind the median square footage. square feet
Given a sample of the size, measured in square feet, of 17 faculty offices.
1) Mean
To calculate the mean of the sample you have to add all observations of the data set and divide it by the sample size:
[tex]\bar{x}=\frac{\Sigma x_i}{n}[/tex][tex]\begin{gathered} \bar{x}=\frac{102+123+142+155+104+185+159+124+154+136+113+110+107+119+120+127+155}{17} \\ \bar{x}=\frac{2235}{17} \\ \bar{x}=131.47\approx131.5ft^2 \end{gathered}[/tex]The mean square footage is 131.5 ft²
2) Median
To determine the median of the data set, first, you have to calculate the position of the median, following the formula:
[tex]\text{PosMe}=\frac{(n+1)}{2}[/tex]The sample size is n=17, then the position of the median is
[tex]\begin{gathered} \text{PosMe}=\frac{17+1}{2} \\ \text{PosMe}=\frac{18}{2} \\ \text{PosMe}=9 \end{gathered}[/tex]The median corresponds to the ninth observation of the data set.
Next, you have to order the data set from least to greatest:
102, 104, 107, 110, 113, 119, 120, 123, 124, 127, 136, 142, 154, 155, 155, 159, 185
Count the ninth observation from the left.
The median of the data set is Me= 124 ft²
