Answer:
1. linear pair
2. Substitution Property of Equality
3. Subtraction Property of Equality
4. <1 ≅ <3
Step-by-step explanation:
1. linear pair
A linear pair is a pair of angles that that are adjacent and add to 180 degrees
linear Pair Postulate states: "If two angles form a linear pair, then the angles are supplementary.
2. Substitution Property of Equality
<1 + <2 = 180 and <2+ <3 = 180
<1 + <2 = <2 + <3
3. Subtraction Property of Equality
<1 + <2 - <2= <2 - <2+ <3
<1 = <3
4. <1 ≅ <3
Check
A jeweler is thinking about using this solid silver bead in a necklace
he is designing. He only has 5.000 grams of silver. If pure silver's
mass is 10.5 grams per cubic centimeter, can he make this bead?
if so, how many grams of silver will the jeweler have left?
11 cm
10 cm
2 cm
Answer:
assalam o aalaikum
Step-by-step explanation:
I finished my homework this morning. __________________,
give the answer
plz i’ll give brainliest
Answer:73
Step-by-step explanation:
45
+28
73
Please help me solve this. I don’t understand it at all. Please explain and give me the answers please and thank you
The Pythagorean Theorem states that the square of the lengths of the two sides of a right triangle adds to the square of the length of the hypotenuse.
How do you prove Pythagorean triples?The Pythagorean Theorem states that a ² +b ² =c ² for a right-angled triangle ABC, right-angled at B. The whole integers a, b, and c form a Pythagorean triple if a and b are the lengths of the two sides of a right-angled triangle with hypotenuse c.
Draw a BD that is perpendicular to AC and meets at D. So, the Pythagorean theorem is established. Recall that the Pythagorean Theorem only applies to right-angled triangles. Two even numbers and one odd number, or all odd numbers, cannot form a Pythagorean triple. The square of an odd number is an odd number, and the square of an even number is an even number, hence this is true. A, B, and C are the three positive integers, and the Pythagorean triples are written as a ² +b ² =c ².
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here is one of the things i need help with
Answer:
1 quart = 2 pints
Jack made 10 quarts = 10 x 2 = 20 pints
No of pints Jackie made = 5
Total pints = 25
Step-by-step explanation:
Find a Doctor, is a small startup that helps people find a physician that best meets their needs (location, insurance accepted, etc) During a "slow time for them, they have 9 staff members taking calls from customers. On average, one call arrives every 5 minutes (standard deviation of 5 minutes). Each staff member spends on average 18 minutes with each customer (with a standard deviation of 27 minutes) Round your answer to 2 decimal places) How long does a customer spend on average waiting on hold before they can start speaking to a representative? Minutes
On average, a customer spends approximately 1.16 minutes waiting time on hold before they can start speaking to a representative.
To find the average waiting time for a customer on hold before they can start speaking to a representative, we need to consider both the arrival rate of calls and the average service time of the staff members.
Given:
9 staff members taking calls.
On average, one call arrives every 5 minutes (standard deviation of 5 minutes).
Each staff member spends on average 18 minutes with each customer (with a standard deviation of 27 minutes).
To calculate the average waiting time, we need to use queuing theory, specifically the M/M/c queuing model. In this model:
"M" stands for Markovian or memoryless arrival and service times.
"c" represents the number of servers.
In our case, we have an M/M/9 queuing model since we have 9 staff members.
The average waiting time for a customer on hold is given by the following formula:
Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))
Where:
c = number of servers (staff members) = 9
μ = average service rate (1 / average service time)
λ = average arrival rate (1 / average interarrival time)
ρ = λ / (c * μ)
First, let's calculate the average arrival rate (λ):
λ = 1 / (average interarrival time) = 1 / 5 minutes = 0.2 calls per minute
Next, calculate the average service rate (μ):
μ = 1 / (average service time) = 1 / 18 minutes = 0.0556 customers per minute
Now, calculate ρ:
ρ = λ / (c * μ) = 0.2 / (9 * 0.0556) ≈ 0.407
Finally, calculate the waiting time:
Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))
= (1 / (9 * (0.0556 - 0.2))) * (0.407 / (1 - 0.407))
≈ 1.16 minutes
Therefore, on average, a customer spends approximately 1.16 minutes waiting on hold before they can start speaking to a representative.
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Write the linear equation in slope intercept form passing through the point with the given slope (-8,6); slope =1/4
Answer:
\(y=\frac{1}{4} x+8\)
Step-by-step explanation:
Use point-slope form:
\(y-y_{1}=m(x-x_{1})\)
Where:
m is the slopex1 and y1 are the given points (-8,6)Insert the values:
\(y-6=\frac{1}{4} (x-(-8))\\\\y-6=\frac{1}{4} (x+8)\)
Convert to slope-intercept form by solving for y (isolate the y variable).
Simplify the multiplication. Use the rule \(\frac{a}{b}*c=\frac{ac}{b}\) :
\(y-6=\frac{x+8}{4}\\\\y-6=\frac{x}{4} +\frac{8}{4} \\\\y-6=\frac{1x}{4} +2\\\\y-6=\frac{1}{4} x+2\)
Add 6 to both sides:
\(y-6+6=\frac{1}{4} x+2+6\\\\y=\frac{1}{4} x+8\)
:Done
the national center for health statistics reported that of every 1,158 deaths in recent years, 46 resulted from an automobile accident, 226 from cancer, and 388 from heart disease. what is the probability that a particular death is due to an automobile accident?
The probability that a particular death is due to an automobile accident is 4%
What is probability ?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
Calculationtotal deaths in recent years = 1158
automobile accident resulted = 46 accidents
cancer deaths resulted = 226 accidents
heart disease deaths resulted = 388 accidents
the probability that a particular death is due to an automobile accident = 46/1158
= 0.04 or 4 % chances
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balancing work and school: is there a correlation between how many hours per week a student works outside of school and how many units the student takes in a quarter? a cluster sample of 482 students is chosen.
Yes, there is a correlation between the number of hours per week a student works outside of school and how many units the student takes in a quarter.
The cluster sample of 482 students is chosen in order to examine the relationship between these two variables. The statistical relationship between two variables is known as correlation.
The correlation coefficient r is used to determine the degree and direction of the correlation between two variables. The correlation coefficient is a numerical value that ranges from -1 to +1.
A negative correlation exists when one variable decreases as the other variable increases. A positive correlation exists when both variables increase or decrease together.
In this case, if the number of hours per week a student works outside of school increases, the number of units the student takes in a quarter may decrease, indicating a negative correlation between the two variables. Similarly, if the number of hours per week a student works outside of school decreases, the number of units the student takes in a quarter may increase, indicating a positive correlation between the two variables.
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An arithmetic sequence is given below.
19, 14, 9, 4,
...
th
Write an explicit formula for the n
term an
Answer:
an= -5n+24
Step-by-step explanation:
What is the slope shown below?
Answer:
5/8
Step-by-step explanation:
Slope = rise/run
In this problem:
rise = 5
run = 8
Therefore, Slope = 5/8
A pool manager balances the pH level of a pool. The price of a bucket of chlorine tablets is $90, and the price of a pH test kit is $11. The manager uses a coupon that applies a 40% discount to the total cost of the two items. How much money does the pool manager pay for each item?
Answer:
The pool manager pay for each item is $60.6.
Step-by-step explanation:
Given:
A pool manager balances the ph level of a pool.
The price of a bucket of chlorine tablets is $90, and the price of a ph test kit is $11.
The manager uses a coupon that applies a 40% discount to the total cost of the two items.
Now, to find the money the pool manager pay for each item.
The price of a bucket of chlorine tablets is = $90.
The price of a ph test kit = $11.
So, to get the total price of both items we add both prices:
Total cost of two items = $101.
As, given a coupon that applies a 40% discount to the total cost of the two items.
Now, to get the total cost by applying discount:
Thus, the pool manager pay = $60.6.
Therefore, the pool manager pay for each item is $60.6.
бx +7= 8х - 15
Pls help will mark brainliest
Answer:
X=11
Step-by-step explanation:
-6x both sides of = sign
+ 15 both sides of = sign
x=11
Yoko can type 36 words in 6 minutes what is her rate in the words per minute
Answer:
6 words per minute
Step-by-step explanation:
Divide 36 by 6 minutes to find how many words per minute
Answer:
6 words per minute
Step-by-step explanation:
36 words/ 6 minutes = 6 words per minute
What percent is represented by the shaded area?
correct answer gets brainlesst
Answer:
I think it's 34%
Step-by-step explanation:
hope this helps love you <3
Suppose y varies directly with x. If y = –4 when x = 8, what is the equation of direct variation?
Complete the steps to write the equation of direct variation.
Start with the equation of direct variation y = kx.
Substitute in the given values for x and y to get
.
Solve for k to get
.
Write the direct variation equation with the value found for k. The equation is
.
Answer:
1.✔ -4 = k(8)8 = k(-4).
2.✔ -1/2.
3.✔ y = (-1/2)x.
Step-by-step explanation:
This is 100% right
6(x-2)=-18 solve the equation
Answer:
x = -1
Step-by-step explanation:
First distriute, then add 12 to both sides since we're working with negatives. Then you simplfiy and divide by both sides and you get -1.
Have a great day! :D
Answer:
x=-1
Step-by-step explanation:
6x-12=-18
6x=-6
x=-1
your price for chicken parmesan is $11.99. your food cost for this item is $4.31. you change you menu prices to be 30% of food cost. by what percentage will the price of chicken parmesan increase?
The percentage by which the price of chicken parmesan will increase is 153.76%.
Food cost is defined as the cost of ingredients and raw materials that are required to make a dish. Food cost is also known as menu cost or recipe cost.
Menu pricing strategy determines the selling price of a dish or menu item. To price the menu, the food cost is usually divided by the desired percentage of profit. Let's solve the problem using the following formula:
Menu Price = (Food Cost ÷ Desired Percentage Markup) + Food Cost
Given, Price for chicken parmesan = $11.99
Food cost for this item = $4.31
New menu price will be 30% of the food cost.
Menu Price = (30% × 4.31) + 4.31= 1.293 + 4.31= 5.6033 ≈ $5.60
The percentage increase in the price of chicken parmesan is given by the following formula:
Percentage increase = (New Price - Old Price) / Old Price × 100%
Percentage increase = (5.60 - 11.99) / 11.99 × 100%
Percentage increase ≈ -53.76%
This is a negative value which implies that the price is decreased instead of increasing. So we have to add the absolute value of the percentage increase to 100% to get the actual percentage increase.
Percentage increase = 53.76% + 100%
Percentage increase = 153.76%
So, the percentage by which the price of chicken parmesan will increase is 153.76% rounded to two decimal places .
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Simplify the expression using the order of operations. 6×(43÷8)÷12 = 6× ÷8÷12 = 6× ÷12 = ÷12 =
The simplified expression is:
6×(43÷8)÷12 = 2.6875.
Simplify expression using order of operations. 6×(43÷8)÷12 = 6× ÷8÷12 = 6× ÷12 = ÷12 =To simplify the expression using the order of operations, we follow the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (performed left to right), and Addition and Subtraction (performed left to right).
Using this order, we first simplify the expression inside the parentheses:
43 ÷ 8 = 5.375
So now we have:
6 × 5.375 ÷ 12
Next, we perform multiplication and division, from left to right:
6 × 5.375 = 32.25
32.25 ÷ 12 = 2.6875
Therefore, the simplified expression is:
6×(43÷8)÷12 = 2.6875.
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2. Find the following limits. a) 〖 lim〗┬(x→0)〖cos〖x-1 〗/x^2 〗 b) lim┬(x→0)〖xe^(-x) 〗
We will find the limits of the given expressions.
a) The limit as x approaches 0 of (cos(x-1)/x^2) is equal to -1/2.
b) The limit as x approaches 0 of (xe^(-x)) is equal to 0.
Now let's explain the steps to find these limits.
a) To find the limit of (cos(x-1)/x^2) as x approaches 0, we can use L'Hopital's rule. Taking the derivative of the numerator and denominator separately, we get:
lim┬(x→0)(cos(x-1)/x^2) = lim┬(x→0)(-sin(x-1)/2x) = -1/2.
b) To find the limit of (xe^(-x)) as x approaches 0, we can substitute 0 into the expression:
lim┬(x→0)(xe^(-x)) = 0 * e^(-0) = 0.
Therefore, the limit as x approaches 0 of (cos(x-1)/x^2) is -1/2, and the limit as x approaches 0 of (xe^(-x)) is 0.
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1. A ride in a cab costs $0.60 plus $0.14 per mile.
a. Write an equation for traveling x miles in the cab.
b. The cab charges $0.88 for a ride of how many miles?
c. How much does the cab charge for a trip of 8 miles?
The equation for traveling x miles in the cab can be written as:
Cost = $0.60 + $0.14 * x. The cab charges $0.88 for a ride of 2 miles. And the cab charges $1.72 for a trip of 8 miles.
a. The equation for traveling x miles in the cab can be written as:
Cost = $0.60 + $0.14 * x
b. To find the number of miles for a cab ride that costs $0.88, we can set up the equation:
$0.88 = $0.60 + $0.14 * x
Subtracting $0.60 from both sides, we get:
$0.88 - $0.60 = $0.14 * x
$0.28 = $0.14 * x
Dividing both sides by $0.14, we find:
x = $0.28 / $0.14
x = 2 miles
Therefore, the cab charges $0.88 for a ride of 2 miles.
c. To calculate the cost of a trip of 8 miles, we can substitute x = 8 into the equation:
Cost = $0.60 + $0.14 * 8
Cost = $0.60 + $1.12
Cost = $1.72
Therefore, the cab charges $1.72 for a trip of 8 miles.
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What is the gradient y= 12-x
Answer:
-1
Step-by-step explanation:
i just inserted it into an online graphing calculator called desmos.
Select the fraction that is equivalent to 1/3. (2 points)
a
2/6
b
4/6
c
3/4
d
2/3
Answer:
A 2/6
Step-by-step explanation:
1/3
x 2/2
2/6
The Frosty Ice-Cream Shop sells sundaes for $4 and banana splits for $6. On a hot summer day, the shop sold 8 more sundaes than banana splits and made $182. How many sundaes did they sell?
Answer:
23
Step-by-step explanation:
Answer:
They sold 48 sundaes.
Step-by-step explanation:
Help me please, asap-
5, 12, 26, ____, 110, 222 fill in the patterning blank.
The pattern to the number series 5, 12, 26, ____, 110, 222 is 50. There are different methods to solve the pattern. For example, you can find the difference between consecutive numbers and check if it follows a pattern.
The pattern to the number series 5, 12, 26, ____, 110, 222 is 50.
How?
There are different methods to solve the pattern. For example, you can find the difference between consecutive numbers and check if it follows a pattern. Here, I am using this method to explain the answer. To start, we will find the difference between consecutive numbers.
5 to 12 = 7 (12 - 5 = 7)
12 to 26 = 14 (26 - 12 = 14)
26 to ____ = ?
____ to 110 = 84 (110 - ____ = 84)
110 to 222 = 112 (222 - 110 = 112)
Now, we will find the difference between the second difference.
7 to 14 = 7 (14 - 7 = 7)
14 to ____ = ?
____ to 84 = 70 (84 - ____ = 70)
84 to 112 = 28 (112 - 84 = 28)
Since we are given 5, 12, 26, ____, 110, 222
fill in the patterning blank, we need to find the blank space. So, let's work on that.
7 to 14 = 7 (14 - 7 = 7)
14 to ____ = ?
7 + 7 = 14
____ = 28 (14 + 14 = 28)
28 to 84 = 56 (84 - 28 = 56)
84 to 112 = 28 (112 - 84 = 28)
28 + 28 = 56
Hence, the blank in the patterning is 50. This number series has a pattern to solve. If you learn how to solve such patterns, you can easily find the blank in any patterning series. There are different methods to find the answer, as explained above, but the one I used is the most common one. Here, we found the difference between consecutive numbers and checked if it follows a pattern. The pattern we found is that the second difference is constant. The second difference is the difference between the first difference of the consecutive numbers. When we calculated the second difference, we found that the blank in the patterning series is 50. It means that the difference between 26 and the blank is 28, and the difference between the blank and 110 is 84.
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For f(x) = 2x³ - 10x + 3, h(x) = x - 5 and g(x)=2x, find the
following:
a) (f + h)(x)
b) (f - h)(x)
c) (fg)(x)
d) (fh)(x)
e) (f/g)(x)
The values of the composite functions are
a) (f + h)(x) = 2x³ - 9x - 2b) (f - h)(x) = 2x³ - 11x + 8c) (fg)(x) = 16x³ - 20x + 3d) (fh)(x) = 2(x - 5)³ - 10(x - 5) + 3 e) (f/g)(x) = (2x³ - 10x + 3)/(2x)How to evaluate the composite functionsFrom the question, we have the following functions that can be used in our computation:
f(x) = 2x³ - 10x + 3, h(x) = x - 5 and g(x)=2x
Using the above as a guide, we have the following:
a) (f + h)(x) = 2x³ - 10x + 3 + x - 5 = 2x³ - 9x - 2
b) (f - h)(x) = 2x³ - 10x + 3 - x + 5 = 2x³ - 11x + 8
c) (fg)(x) = f(g(x)) = f(2x) = 2(2x)³ - 10(2x) + 3 = 16x³ - 20x + 3
d) (fh)(x) = f(h(x)) = f(x - 5) = 2(x - 5)³ - 10(x - 5) + 3
e) (f/g)(x) = f(x)/g(x) = (2x³ - 10x + 3)/(2x)
The above are the values of the composite functions
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O Personal math Iainer23 4 596 7 810VieFind the sum. You may find using a number line to be helpful. Express your answer as a simplified mixednumber, if necessary.Ste3+1/2VidТехThe result isPrit
We will find the sum of 3+ 1 1/2 with help of a
assuming that the p-value to test that the population mean number of errors for the ethanol group (e) is greater than the population mean number of errors for the placebo group (p) is 0.0106 and using a 1% significance level, what is the best conclusion from this hypothesis test in the context of the problem?
The best conclusion from this hypothesis test in the context of the problem is that we can reject the null hypothesis. The null hypothesis for this problem is that the errors is not greater than the population mean.
What is the best conclusion?The null hypothesis for this problem is that the population mean number of errors for the ethanol group is not greater than the population mean number of errors for the placebo group.
In other words, the null hypothesis is: H₀: μe ≤ μp. The alternative hypothesis is that the population mean number of errors for the ethanol group is greater than the population mean number of errors for the placebo group. In other words, the alternative hypothesis is: H₁: μe > μp.
The p-value is the probability of getting a test statistic at least as extreme as the one observed, assuming the null hypothesis is true. In this case, the p-value is 0.0106, which is less than the significance level of 0.01. This means that the observed test statistic is significant at the 1% level, and we reject the null hypothesis.
Therefore, we conclude that there is evidence to suggest that the population mean number of errors for the ethanol group is greater than the population mean number of errors for the placebo group.
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Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1.Shaded area is 0.9599.
The mean () of the test is 150, while the standard deviation () is 25. In the case of a normal distribution, your z score would be: z = (x - ) / = (190 – 150) / 25 = 1.6.
What does a z-score of 0.00 indicate?A Z-score of 0 implies that the data point’s value is the same as the mean score. A Z-score of 1.0 indicates that the result is one standard deviation from the mean. The z-scores’ mean is always 0. The z-scores’ standard deviation is always 1. The z-score distribution graph always has the same form as the original sample value distribution graph. The total of the squared z-scores equals the number of z-score values.
z = (x – μ) / σ
z=\(\frac{(190-150}{25} = 1.6\)
Take the raw data, remove the mean, then divide by the standard deviation to get the z-score. The data point of interest is represented by X. Mu and sigma reflect the population’s mean and standard deviation.
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Which number completes the system of linear inequalities represented by the graph? y > 2x – 2 and x + 4y >
we have y≥2x-2 ------> inequality A
The inequality A is the solid red line in the graph the solution of the inequality A is the shaded area above the solid red line x+4y≥?------> inequality B The inequality B is the solid blue line in the graph the solution of the inequality B is the shaded area above the solid blue line we know that the point (0,-3) lie on the line of the inequality B. substitute the values of x and y in the equation of the line
x+4y=c
0+4*(-3)=c
c=-12
so the answer is -12
The system of linear inequalities is:
y > 2x – 2 and x + 4y > -12.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
When x = 0, y = 2(0) – 2 = -2.
So the point (0, -2) is on the line.
When x = 2, y = 2(2) – 2 = 2.
So point (2, 2) is on the line.
Plotting these two points and drawing a line through them gives us the graph of y = 2x – 2.
Next, let's graph x + 4y = -12 by solving for y:
x + 4y = -12
4y = -x - 12
y = (-1/4)x - 3
Again, we can plot two points on the line.
When x = 0, y = -3, giving us the point (0, -3).
When x = -4, y = -2, giving us the point (-4, -2).
Plotting these points and drawing a line through them gives us the graph of x + 4y = -12.
Thus,
The solution to the system of inequalities is the shaded region where the two graphs intersect and y > 2x – 2.
This region is shown in the attached image.
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