Answer:
Smallest element in the set of range is -3
Step-by-step explanation:
From the given set of ordered pairs,
x-value of each pair represents the Domain of the relation.
y-value of the pair represents the Range of the relation.
Set of domain:
{0, 1, 2, 3, 4, 5, 6}
Set of Range:
{1, 3, 2, 5, 2, -3, 2}
Smallest number in the set of range = -3.
Therefore, smallest element in the set of range is -3.
Please help 25 points
The angles that are congruent are as follows:
∠EBF and ∠GBH∠DEA and ∠BEC∠FBG and ∠HBE∠AEB and ∠CEDWhat are vertical angles?Vertical angles are angles that are opposite of each other when two lines cross. In other words, vertical angles are formed when two lines meet each other at a point.
Vertically opposite angles are congruent.
Therefore, let's find the angles that are congruent in the diagram.
When lines intersect angle relationship such as vertically opposite angles are formed.
Therefore, the following angles are congruent because they are vertically opposite angles.
∠EBF and ∠GBH are congruent. ∠DEA and ∠BEC are congruent. ∠FBG and ∠HBE are congruent. ∠AEB and ∠CED are congruent.learn more on vertical angles here: https://brainly.com/question/24460838
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● Blondies are squares with 3 inch sides. ● Brownies are squares with 6 inch sides. ● The tray that displays the blondies and brownies has an area of 648 square inches and is completely full. If she has 4 rows of blondies and 4 rows of brownies, what fraction of the area of the tray, in square inches, is blondies? Show your work.
The fraction of the area of the tray occupied by the blondies is 1/9.
To find the fraction of the area of the tray occupied by blondies, we need to determine the area occupied by the blondies and compare it to the total area of the tray.
Let's calculate the area of each individual blondie:
The blondies are squares with 3-inch sides, so the area of each blondie is 3 inches × 3 inches = 9 square inches.
Now, let's calculate the area occupied by the blondies in each row:
Since there are 4 rows of blondies and each row contains 4 blondies, the total number of blondies is 4 rows × 4 blondies per row = 16 blondies.
So, the total area occupied by the blondies is 16 blondies × 9 square inches per blondie = 144 square inches.
Next, let's determine the area occupied by the brownies:
The brownies are squares with 6-inch sides, so the area of each brownie is 6 inches × 6 inches = 36 square inches.
Since there are also 4 rows of brownies and each row contains 4 brownies, the total number of brownies is 4 rows × 4 brownies per row = 16 brownies.
Therefore, the total area occupied by the brownies is 16 brownies × 36 square inches per brownie = 576 square inches.
Now, let's calculate the total area of the tray:
Given that the tray is completely full and has an area of 648 square inches, we can subtract the area occupied by the brownies from the total area to find the remaining area occupied by the blondies:
Total area of the tray - Area occupied by the brownies = Area occupied by the blondies
648 square inches - 576 square inches = 72 square inches.
So, the fraction of the area of the tray occupied by the blondies is:
Area occupied by the blondies / Total area of the tray = 72 square inches / 648 square inches.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 72 in this case:
72 square inches / 648 square inches = 1/9.
Therefore, the blondies' percentage of the tray's surface area is 1/9.
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A man is considered overweight if he has a body mass index of 27.8 kg/m2 or greater. This point is used because it represents the sex-speci c 85th percentile for males 20-29 years of age in the 1976-1980 National Health and Nutrition Examination Survey. In 1994, of 700 men 20-34 years old, 160 were found to be overweight, whereas, in 1980, of 750 men 20-34 years old, 130 were found to be overweight. At the 1% signi cance level, do the data provide sucient evidence to conclude that for men 20-34 years old, a higher percentage were overweight in 1994 than 14 years earlier?
Answer:
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An angle measures 50° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
115, 65
Step-by-step explanation:
Let x be an angle measurement
x-50 is the supplement
They add to 180
x + x-50 = 180
2x-50 = 180
Add 50 to each side
2x-50 + 50 =180+50
2x = 230
Divide by 2
2x/2 =230/2
x = 115
The measure are 115 and 115-50=65
simplify √([2m5z6]/[ xy])
The simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).
To simplify the expression √([2m5z6]/[xy]), we can break it down step by step:
Simplify the numerator:
√(2m5z6) = √(2) * √(m) * √(5) * √(z) * √(6)
= √2m√5z√6
Simplify the denominator:
√(xy) = √(x) * √(y)
Combine the numerator and denominator:
√([2m5z6]/[xy]) = (√2m√5z√6) / (√x√y)
Thus, the simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).
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i need help on these please
The cost of gas is proportional to the volume of gas because a constant rate of $3.15 to 1 gallon of gas.
How to calculate the constant rate of gas?From the given table;
The volume of the first gas Layla bought = 3 gallons.
The cost of the 3 gallons = 9.45
Therefore the cost of 1 gallon = ?
That is:
3 gallons = $9.45
1 gallon = X
Make X the subject of formula:
X = 9.45/3 = $3.15
Therefore, the cost of 11 gallons of gas would be = 11×3.15 = $34.65. This is because the cost of 1 gallon would be = $3.15.
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(6 + 3) ÷ (4 – 5) = for edgienuity
Answer:
-9
Step-by-step explanation:
(6+3) divided by (4-5)
9/-1
-9
...........................
The number line below shows information
about a variable, m.
Select all of the following values that m
could take:
-2, 4, -3.5, 0, -5, -7
-5 -4 -3 -2 -1 0 1 2 3 4 5
m
From the given number line, the variable "m" could take the values of -2, -3.5, 0, and -5
To determine which values the variable "m" could take from the given number line, we need to identify the points or intervals on the number line that correspond to the possible values of "m".
Looking at the number line, we can see the following values:
-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5
From this list, the values that "m" could take are:
-2, -3.5, 0, -5
These values are present on the number line, indicating that they are possible values for "m".
Therefore, the variable "m" could take the values -2, -3.5, 0, and -5 from the given number line.
It's important to note that the values -7 and 4 are not present on the number line, so they are not possible values for "m" based on the information provided.
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8. What is the value of x in the diagram?
A
E
429
B
49
D
32°C
Answer:
D. \(10^{\circ}\)
Step-by-step explanation:
Let the measure of minor arc \(AE\) be \(\alpha\) and the measure of minor arc \(BD\) be \(\beta\).
Using the secant-secant theorem, \(\frac{\alpha-\beta}{2}=32 \implies \alpha-\beta=64^{\circ}\).
By the inscribed angle theorem, \(\alpha=84^{\circ}\).
Thus, \(\beta=20^{\circ}\).
By the inscribed angle theorem, \(x=10^{\circ}\).
y=mx+b example; y=mx+b calculator; writing linear equations in slope-intercept form answer key; write equation in slope intercept form calculator; standard form equation; slope-intercept form examples; point slope form calculator; how to find the y-intercept
1) The Point-Slope Formula (y – y1) = m(x – x1)
2) The Slope-Intercept Formula y = mx + b
linear equations in slope-intercept :
To determine the equation of a line, you may use two variations of the general form of a line.
These formulas are:
1) The Point-Slope Formula (y – y1) = m(x – x1)
2) The Slope-Intercept Formula y = mx + b
standard form equationThe standard form of a linear equation, also known as the “general form“, is:
ax+by=c
The letters aa, bb, and cc are all coefficients. When using standard form, aa, bb, and cc are all replaced with real numbers. The letter x represents the independent variable and the letter y represents the dependent variable.
A few notes on Standard Form:
The a term must be a positive integera ,b, and cc cannot be decimals or fractionshow to find the y-interceptLet us now determine the y-intercept. Remember, this is where the line crosses the y-axis and where x=0 To do so, we will substitute 0 for x
3y-5x=30
3y-5(0)=30
3y=30
y=10
Therefore, the y-intercept is at 10. This means the point (0,10) is on the graph.
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What is the surface area of the cone?
Answer:
V=1/3*pi*radius(to the power of two)*height
Answer: 14 in squared
How much money will you have after 4 years if you deposited P10,000 in a bank that pays 6% simple interest?
Answer:
P12400Step-by-step explanation:
Deposit = P 10000Interest rate = 6% simple per yearTime = 4 yearsTotal in 4 years:
10000*(1 + 4*6/100) = 10000*1.24 =12400After 4 years the amount is P 12400
About 3% of the population has a particular genetic mutation. 600 people are randomly selected.
Find the mean for the number of people with the genetic mutation in such groups of 600.
The mean for the number of people with the genetic mutation in such groups of 600 is 18.
Given that,
About 3% of the population has a particular genetic mutation.
This means that for any group of people, 3% of the people has a particular genetic mutation.
This is a binomial distribution.
Probability that people having genetic mutation = 3% = 0.03
Random sample size = 600
Mean for a binomial distribution can be calculated as,
Mean = n × p
= 600 × 0.03
= 18
Hence the mean number of people having genetic mutation is 18.
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In excercises 6 and 7, for what value of x is l || m? Which theorem or postulate justifies your answer in each case?
Answer:
For 6, the answer is, x= 65; alternate exterior angles theorem.
For 7, the answer is, x = 17; same-side interior angles postulate
Step-by-step explanation:
I don't have one sorry,
Which statement is true about the end behavior of the
graphed function?
O As the x-values go to positive infinity, the function's
O As the x-values go to zero, the function's values go
O As the x-values go to negative infinity, the function's
O As the x-values go to positive infinity, the function's
values go to negative infinity.
to positive infinity.
values are equal to zero
values go to positive infinity.
The answer is the last choice.
When x approaches positive infinity, the value of f(x) will also approach positive infinity too.
Notice how we substitute x in the equation with any positive numbers and we will get high f(x) value as the sign of positive infinity approach when x approaches positive infinity.
Which dot plot matches the tally chart below?
A 2-column table with 5 rows. Column 1 is labeled Pull-ups Completed in one minute with entries 1, 2, 3, 4, 5. Column 2 is labeled Tally with entries 2, 5, 3, 1, 2.
A dot plot titled Pull-ups completed in one minute goes from 0 to 6. 0 has 0 dots, 1 has 2 dots, 2 has 5 dots, 3 has 3 dots, 4 has 1 dot, 5 has 2 dots, and 6 has 0 dots.
A dot plot titled Pull-ups completed in one minute goes from 0 to 6. 0 has 0 dots, 1 has 2 dots, 2 has 2 dots, 3 has 3 dots, 4 has 1 dot, 5 has 2 dots, and 6 has 0 dots.
A dot plot titled Pull-ups completed in one minute goes from 0 to 5. 0 has 0 dots, 1 has 2 dots, 2 has 5 dots, 3 has 3 dots, 4 has 1 dot, 5 has 0 dots.
A dot plot titled Pull-ups completed in one minute goes from 0 to 6. 0 has 0 dots, 1 has 2 dots, 2 has 5 dots, 3 has 3 dots, 4 has 1 dot, 5 has 1 dot, and 6 has 0 dots.
Answer:
option 1
Step-by-step explanation:
Answer: 1st one
Step-by-step explanation:
A landscaping company charges $48 per cubic yard of mulch plus a delivery charge of $28. Find a linear function which computes the total cost C (in dollars) to deliver x cubic yards of mulch.
The linear function for the total cost C is:
\(\text{C} = 28 + 48\text{x}\)What is a function?A function is an expression, rule, or law that defines a relationship between one variable.
Example:
\(f(\text{x}) = 2\text{x} + 1\)
\(f(1) = 2 + 1 = 3\)
\(f(2) = 2 \times 2 + 1 = 4 + 1 = 5\)
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Charge per cubic yard = $48Delivery charge = $28The total cost for x cubic yards.
\(\bold{C = 28 + 48x}\)
Thus, the function is C = 28 + 48x.
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Suppose that you are thinking about buying a car and have narrowed down your choices to two options.
The new-car option: The new car costs $31,000 and can be financed with a three-year loan at 7.19%.
The used-car option: A three-year old model of the same car costs $16,000 and can be financed with a four-year
loan at 5.89%.
What is the difference in monthly payments between financing the new car and financing the used car? Use
PMT=
[-(19]
The difference in monthly payments between financing the new car and financing the used car is
(Round to the nearest cent as needed.)
Answer:
To calculate the monthly payments for each option, we can use the PMT function in Excel or a financial calculator.
For the new car option:
Loan amount = $31,000
Interest rate (annual) = 7.19%
Loan term = 3 years
Number of payments = 3 x 12 = 36
Using the PMT function in Excel, we get:
PMT(7.19%/12, 36, -$31,000) = $966.59
For the used car option:
Loan amount = $16,000
Interest rate (annual) = 5.89%
Loan term = 4 years
Number of payments = 4 x 12 = 48
Using the PMT function in Excel, we get:
PMT(5.89%/12, 48, -$16,000) = $385.36
The difference in monthly payments between the two options is:
$966.59 - $385.36 = $581.23
Therefore, the difference in monthly payments between financing the new car and financing the used car is $581.23.
Step-by-step explanation:
PLEASE HELP ME QUICK!!!
Answer:
Option D. \(g(x)=5(0.8)^{x}+2\)
Step-by-step explanation:
Main concepts
Concept 1: identifying horizontal asymptote
Concept 2: assuring decreasing exponential function
Concept 1. identifying horizontal asymptote
Any exponential function of the form \(y=a*b^x\) has a horizontal asymptote on the x-axis. A constant (positive or negative) added to the end of the exponential expression will shift the graph of the exponential function up (if positive) or down (if negative) the number of units equal to the magnitude of the number. Since the original function f(x) has a "+2" at the end, it has been shifted up 2 units. Thus, we can eliminate answers A and C from feasible answers since they each shift the exponential function up 3 units, not 2.
Concept 2. assuring decreasing exponential function
Exponential functions of the form \(y=a*b^x\) increase or decrease based on the value of "b".
If "b" is between 0 and 1 (a "small" number), the function will decrease.If "b" is larger than 1 (a "big" number), the function will increase.Observe that the graph of the function f(x) is decreasing, and the value of b=0.5.
To ensure that g(x) also decreases, the b-value must be between 0 and 1, which eliminates option B.
Option D is the correct answer because the value of "b" is between 0 and 1 (making the graph of the function a decreasing exponential), and the number added at the end is "+2", causing the horizontal asymptote to be at a height of positive 2.
Peter set off from Town A at 10 am, driving at an average speed of 84 km/h. He reached
Town B at 2 pm. If William set off 1 hour 25 minutes earlier than Peter and took the
same route at an average speed of 70 km/h, at what time would William reach Town B?
Peter left Town A around 10 a.m., traveling at an average speed of 84 km/h. William would reach Town B at 1:23 PM.
Firstly, we need to find the distance between Town A and Town B which can be calculated by calculating the distance travelled by Peter
Time taken by Peter = 2PM - 10AM
= 4 hrs
Speed of Peter = 84 km/h
Distance travelled by Peter = speed × time
= 84 × 4
= 336 km
So, the distance between Town A and Town B = distance travelled by Peter = 336 km.
Now, we will calculate time taken by William.
Speed of William = 70 km / hr
Distance travelled by William = distance between Town A and town B = 336 km
Time taken by William = distance / speed
= 336 / 70 hr
= 4.8 hr
This can b converted into hrs and minutes
4.8 hr = 4 hr + 0.8 × 60
= 4 hr 48 mins
Time William took off = 10 AM - 1hr 25 mins
= 8:35 AM
Now, we will calculate the time William would reach town B.
Time = 8:35 + 4hr 48 mins
= 1:23 PM
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Tomas wants to invest $5,000 into a fund with an interest rate of 6% compounded monthly. At the end of 4 years, how much money will there be in the fund? Round your answer to the nearest dollar.
$6355 will be there in the fund
Investment=$5000
Interest rate =6%=0.06
Time = 4years
We need to find how much money will be there in fund
What is compound interest?
A=Pe^rt
A=5000*e^0.06*4
=5000*e^0.24
=5000*1.271
=$6355
Therefore $6355 will be there in the fund
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Solve for b
Y=1/3x+b
Answer:
(3xy - 1)/3x = b
Step-by-step explanation:
make b the subject of formula
then simply it
did you get it
Answer:
b=Y-x/3
Step-by-step explanation:
Solve for b by simplifying both sides of the equation, then isolating the variable.
have a great day and thx for your inquiry :)
which angle pairs in the diagram are supplementary angles? Check all that apply.
Answer: 1 & 4 4&5 6&7
Step-by-step explanation:
simplify the expression. identify the properties used. 4(x-3) (3•x)•7
Step-by-step explanation:
4 x + 3 = 7 4x+3=7 4x+3=7. Subtract 3 from both sides. Simplify 7 − 3 7-3 7−3 to 4. Divide both sides by 4.
At Kamari's Sweet Treats, cookies are packaged in boxes of 8. Depending on the cookie flavor, the most a box can cost is $16.
Let x represent how much each cookie costs. Which inequality describes the problem.
a x / 8 < 16
b 8 + x ≥ 16
c 8 x ≤ 16
d x − 8 ≤ 16
The inequality that describes the problem is C. 8x ≤ 16
Which inequality describes the problem?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.
Since Kamari's Sweet Treats, cookies are packaged in boxes of 8 and the most a box can cost is $16. This will be:
8x ≤ 16
The correct option is C.
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Someone please help me!!!please give me the answer!!!
Answer:
A
Step-by-step explanation:
You can see that every hour the amount of medicine decreases by 1/2. At zero hours it is at 500 and at one hour it is at 250 and it keeps decreasing at the same rate making the answer A.
Which of the measures below represents 4 gallons and 2 pints converted to pints?
A. 30 pints
B. 32 pints
C. 34 pints
D. 36 pints
The lengths of three line segments are 4 centimeters, 5 centimeters, and 9 centimeters.
Based on the information, we can infer that it is FALSE because it's not possible to construct a triangle with the measures of 4cm, 5cm and 9cm in length on its sides.
How to know if the statement is false or true?To find out if the statement is false or true, we must analyze the information on the lengths of the sides of the triangle and review the construction rules of a triangle to find out if its lengths have any condition.
In accordance with the above, we find that no triangle can be built with these lengths on its sides because, according to the Triangle Inequality Theorem, the sum of two of the sides of the triangle must be greater than the length of the third side. Therefore, if the sum of 4 + 5 results in 9, it is false that we can build a triangle with these measurements.
Note: This question is incomplete. Here is the complete information:
True or false.
Using this information, triangles can be constructed.
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What is a domain in mathematics
Answer:
In mathematics, the domain or set of departure of a function is the set into which all of the input of the function is constrained to fall.