Use the vertical line test to determine if the relation {(-6, -2), (-2, 6), (o, 3), (3, 5)} is a function. Explain your response.
Using the vertical line test, it is found that the relation is a function.
In the definition of a function, it has that for each input, there can only be one respective output, and the same is true for a relation, and the test of the number of outputs for each input is the vertical line test.
The relation is: {(-6, -2), (-2, 6), (0,3), (3,5)}
No repeated inputs, thus it passes the vertical line test and is a function.
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what is the slope of a line parallel to line A
Student A: is a rational number because it can be written as a fraction.
Student B: is an irrational number because is irrational.
Sylvia walked 3/4 mi east from her house to the bank. Then she walked 1/3 mi west to a gift shop. From the gift shop, she walked 1/4 mi west to a grocery store. How far is the grocery store from Sylvia's house?
Solution:
The grocery store is 1/6 miles far from her house.
Explanation:
We have been given that Sylvia walked 3/4 mi east from her house to the bank. Hence, the distance between the house and the bank is 3/4 miles.
Now, she walked 1/3 mi west to a gift shop. It means that she moved 1/3 miles towards her house.
Also, from the gift shop, she walked 1/4 mi west to a grocery store. It means she moved 1/3 miles plus 1/4 miles towards her house.
Hence, the distance between the grocery store and the house is
[tex]\frac{3}{4}-\left ( \frac{1}{3}+\frac{1}{4} \right )\\\\=\frac{3}{4}-\frac{1}{3}-\frac{1}{4} \\\\ =\frac{1}{6}[/tex]
Answer:
your answer to this problem is 1/6
Step-by-step explanation:
If 12 poster boards are cut into
1/6
pieces, how many pieces of poster board are there?
to make fruit punch you need 3 cups of grape juice for every 5 cups of apple juice if you have 15 more cups of apple juice how many cups do you have total how many cups do you have for each flavor use tape diagram to show your answer
Mark filled 48 glasses with orange juice for a camp breakfast. If each glass holds 1 cup of juice. How many quarts of orange juice did Mark use?
A) 6 quarts
B) 12 quarts
C) 24 quarts
D) 192 quarts
The Statue of Liberty weighs about 2.04 x 105105 kg. The Washington Monument weighs about 9.07 x 107107 kg. About how many more kilograms does the Washington Monument weigh than the Statue of Liberty?
Answer:
d is ur answer
Step-by-step explanation:
Washington Monument weigh 5 times than the Statue of Liberty
What is ratio?A share is an equation wherein ratios are set equal to each other. as an example, if there's 1 boy and three girls you can write the ratio as: 1 : three. Linear Equation Definition: A A share is an equation wherein ratios are set equal to each other. as an example, if there's 1 boy and three girls you can write the ratio as: 1 : three.
Linear Equation Definition: A linear equation is an algebraic equation wherein each time period has an exponent of 1 and whilst this equation is graphed, it constantly effects in a directly line. this is the motive why it is named as a 'linear equation'.
A ratio can be defined as the relationship or assessment between numbers of the same unit to test how bigger is one wide variety than the alternative one. for example, if the number of marks scored in a take a look at is 7 out of 10, then the ratio of marks obtained to the overall quantity of marks is written as 7:10.
The ratio is the connection or evaluation between two portions of the identical unit to check how bigger is one variety than the alternative one. it's miles written as a/b or a: b wherein b isn't always identical to zero. A proportion is an equality of ratios. Proportions are used to put in writing equal ratios which helps to remedy the unknown portions.
explanation:
The Statue of Liberty weighs about 2.04 x 105105 kg.
The Washington Monument weighs about 9.07 x 107107 kg.
⇒WEIGHT DIFFERENCE = 9.07 x 107107/ 2.04 x 105105 = 4.5 times.
Hence,
Washington Monument weigh 5 times than the Statue of Liberty
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How many whole numbers have a sum of 99
Determine whether the underlined value is a parameter or a statistic.
One of the greatest baseball hitters of all time has a career batting average
of 0.366. Is it a statistic or a parameter
Final answer:
The career batting average of 0.366 for a baseball player is a parameter, whereas the 50 percent of high school seniors planning to attend college in a survey is a statistic.
Explanation:
The career batting average of 0.366 for one of the greatest baseball hitters of all time is a parameter, because it represents a numerical characteristic of the entire population of interest, which in this case is the player's hits during his career. A parameter is an actual value from the population, whereas a statistic is a value calculated from a sample that estimates a parameter. In baseball statistics, a player's career average is calculated using all of his at-bats and hits across his career, representing the whole population of his at-bats, hence being a parameter.
In the situation described in option 7 of the provided information, the 50 percent that indicates the proportion of high school seniors planning to attend a four-year college or university the following year is a statistic. This is because it is likely derived from a sample of the overall population of high school seniors, rather than including all high school seniors across the country.
If f(x) = x2 – 25 and g(x) = x – 5, what is the domain of mc006-1.jpg?
all real values of x
all real values of x except x = 5
all real values of x except x = –5
all real values of x except x = 5 and x = –5
Answer:
b. all real values of x except x = 5
Step-by-step explanation:
Write using algebra.
A bucket holds c liters of water, but a jar holds 8 liters less. How many times as much water can the bucket hold as the jar?
Answer:
The answer is:
The bucket may hold [tex]\frac{C}{C-8}[/tex] times the amount of water of the jar.
Step-by-step explanation:
In order to determine the answer, we have to know about proportion.
When we use proportion, we want to express a fraction between two measures. It is useful to compare each other if something is more than twice or three times or whatever.
In this case, we have two measures.
C= amount of water that is holded by the bucket.
J=amount of water that is holded by the jar.
Where:
[tex]C=J+8[/tex]
So, expressing both measure as a proportion:
[tex]\frac{C}{J}=\frac{C}{C-8}[/tex]
Finally, the bucket may hold [tex]\frac{C}{C-8}[/tex] times the amount of water of the jar.
At the sixth grade school dance there are 132 boys,89 girls,and 14 adults
a company uses two vans to transport workers from a free parking lot to the work place between 7:00 and 9:00 am one van has 6 more seats than the other. the smaller van makes two trips every morning while the larger one only takes one trip. the two vans can transport 57 people, maximum. how many seats does the large van have?
suppose an object is moving 66 feet per second. how fast would you have to drive in your car, in miles per hour, in order to keep up with this object?
You would need to drive at around 96.67 miles per hour to keep up with the object.
Explanation:To determine how fast you would have to drive in your car to keep up with an object moving at 66 feet per second, we need to convert the unit from feet per second to miles per hour. There are 5280 feet in a mile and 3600 seconds in an hour. Therefore, the conversion factor is 5280/3600 = 1.4667. Multiplying 66 by this conversion factor gives us approximately 96.67 miles per hour. So, you would need to drive at around 96.67 miles per hour to keep up with the object.
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Could someone help please?
Express your answer in smaller unit 800 m 35 cm - 154 m 49 cm
The problem of '800 m 35 cm - 154 m 49 cm' can be solved by converting everything into the smallest unit, which is centimeters. Once everything is converted, subtracting 15,449 cm from 80,035 cm gives a result of 64,586 cm.
Explanation:To solve the given problem, first convert everything to the same unit. In this case, we will convert everything to centimeters since it's the smaller unit. Remember that 1 meter equals 100 centimeters. Therefore, 800 meters will equal 800 times 100, which equals 80,000 centimeters. Adding the 35 centimeters to this, our total becomes 80,035 centimeters.
Similarly, 154 meters equals 15,400 centimeters. Adding the 49 centimeters to this, we have 15,449 centimeters total.
So the problem becomes 80,035 centimeters - 15,449 centimeters.
Using basic subtraction, we find the result to be 64,586 centimeters.
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38:63 as a percentage
You bought one dozen eggs but one-third of the eggs where broken. How many eggs were broken? (Hint: A dozen eggs is 12 eggs.)
Answer: 4 eggs
Step-by-step explanation:
12*1/3 = 12/1*1/3 = 4 eggs
Jeff uses the expression 2(3b + 1) to determine how many books (b) he needs to order for his store. If b = 12, how many books should Jeff order?
Your class hopes to collect at least 325 cans of food for the annual food drive. There were 135 cans donated the first week and 89 more the second week.
A. write an inequality that describes this situation. let c represent the number of cans of food that must be collected by the end of the third week for your class to meet or surpass its goal.
B. how many cans are needed to meet or surpass the goal.
Answer:
132+146+c>325;c>47
Step-by-step explanation:
Of the 150 students in Mr. Bacon's classes, 16% play soccer, 9/25 play basketball, 3 to the 3rd power play football and 14 do not play a sport at all. Write the number of students in order from least to greatest.
Answer:
The number of students in order from least to greatest is 14<24<27<54
Step-by-step explanation:
Total students = 150
16% students play soccer
No. of students play soccer = [tex]16\% \times 150 = \frac{16}{100} \times 150=24[/tex]
9/25 play basketball
No. of students play basketball = [tex]\frac{9}{25} \times 150 = 54[/tex]
[tex]3^3[/tex] play football
No. of students play football = [tex]3^3 = 27[/tex]
No. of students do not play anything = 14
The number of students in order from least to greatest is 14<24<27<54
multiply the following number using the distributive property the equation are 2×38 and this is the grid that is just an example of the grid.
Four hot air balloons each descend 295 feet per minute for 7 minutes. Find the total change in altitude for all 4 balloon
Answer: There is descending of 8260 feet in altitude for all 4 balloons.
Step-by-step explanation:
Since we have given that
Number of hot air balloons = 4
Number of minutes = 7 minutes
Descending per minute = 295
So, Total change in altitude for all 4 balloons is given by
[tex]295\times 7\times 4\\\\=8260\ feet[/tex]
Hence, there is descending of 8260 feet in altitude for all 4 balloons.
The total change in altitude for all 4 balloons will be 8260 feet
Number of minutes used per balloon = 7 minutesNumber of balloons = 4Number of feet when descending = 295
The total change in altitude for all 4 balloons will be calculated thus:
= 295 feet × 4 × 7
= 8260 feet
Therefore, the total change of the four balloons is 8260 feet.
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I need help on 19, 21, and 22. Find the mean of each set of integers.
Write −5.8 as a mixed number in simplest form.
In triangle ABC, side AB has a length of 8 cm and side BC has a length of 5 cm. If the triangle has an area of 10 square centimeters, what is the measure of the angle between sides AB and BC?
135°
150°
120°
45°
30°
60°
Thank you!
adam spent $3.42 on orange juice. orange juice costs $0.12 per ounce. how many ounces of ornage juice did adam buy?
The amount of ounces of orange juice is A = 28.5 ounces
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the number of ounces of orange juices be A
Now , the amount spent on orange juice = $ 3.42
The cost per ounce of juice = $ 0.12
So , the number of ounces A = amount spent on orange juice / cost per ounce of juice
On simplifying the equation , we get
The number of ounces A = 3.42 / 0.12
The number of ounces A = 28.5 ounces
Hence , the equation is A = 28.5 ounces
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After a party, there are 3 3/4 pizzas left over. If they need to be split among 6 people, how much pizza will each person take home?
For this question you have to solve for m and show your work