All colors of light are bent the same amount as they move from one material to another.
A) Always true.
B) Always false.
C) True, if you change bent to absorbed.
D) False, each color bends a different amount.
To measure the distance from the U.S. to Istanbul, Turkey you would most likely use __________.
Simplify 4 sqrt 6 / sqrt 30 by rationalizing the denominator. Please show steps.
24√5/√30 is the simplified form of the expression 4√6/√30
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 4√6/√30
We have to rationalizing the denominator.
Multiply numerator and denominator by √30
4√6/√30 × √30/√30
4√6×30/30
4√180/30
4.6√5/√30
24√5/√30
Hence, 24√5/√30 is the simplified form of the expression 4√6/√30
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a) Wilma used to make 10.50 per hour, but then she got an 8% raise. How much does Wilma make per hour now?
1) $11.00
2) $11.14
3) $11.34
4) $11.54
b) You went to the store and bought some DVDs. The cost of the DVDs was 45.80. The sales tax is 5%. How much is your total cost?
1) $48.09
2) $48.19
3) $48.29
4) $48.39
c) What is 2/3 of 30?
1) 10
2) 15
3) 20
4) 25
d) Arrange in order from least to greatest: 1/2, 3/4, 5/7, 13/14
1) 1/2 < 3/4 < 5/7 < 13/14
2) 1/2 < 5/7 < 3/4 < 13/14
3) 3/4 < 5/7 < 13/14 < 1/2
4) 13/14 < 1/2 < 3/4 < 5/7
e) Which property is demonstrated by this equation? 3(1 + 2) = (1 + 2)3
1) Commutative property
2) Associative property
3) Distributive property
f) Which property is demonstrated by this equation? 2 + 3 = 3 + 2
1) Commutative property
2) Associative property
3) Distributive property
g) Which property is demonstrated by this equation? 3 • (1 • 2) = (3 • 1) • 2
1) Commutative property
2) Associative property
3) Distributive property
please answer fast
Choosing a graph to fit a narrative
Select the graph of the solution. Click until the correct graph appears.
|x| = 3
Answer:
First picture
Step-by-step explanation
the graph with the open circle on -3 and 3 and pointing to the opposite to each so -3 the arrow is pointing this way <----- for 3 the arrow is pointing this way ------->
I need sambady help my to rate the question
Piper bought 5 movie tickets and 1 bottle of water. She spent $28. The water cost $3. How much did each ticket cost. Write an equation to solve the problem and answer the question.
what can you conclude about the equations y=5/4x-10 and 5x-4y=40
Please help use the diagram of the right triangle above
Jose decided to walk the 9 3/10 mi from his house to the beach. in the first hour he walked 3 4/5 mi. in the second hour he walked 2 9/10 mi. how much farther did he have to go?
Amber completed a 25-kilometer road race in 3 hours. She ran at the same speed and covered the same distance each hour. Between which 2 whole numbers does the distance she ran each hour lie? Draw a visual model to find the distance she ran each hour.
You don’t have to do the last part but it’d be great if you did
The distance she ran each hour is between 8 and 9
How to determine the whole numbers?The distance is given as:
Distance = 25 km
The time is given as:
Time = 3 hours
The speed is then calculated as:
Speed = Distance/Time
So, we have:
Speed = 25km/3 hours
Divide
Speed = 8.33 km/hr
8.33 is between 8 and 9
Hence, the distance she ran each hour is between 8 and 9
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I WILL GIVE BRAINLEST. Use the irregular polygon below. show all work.
a. find the perimeter.
b. find the area.
Samantha works at a nursery where she pots plants. It takes her 1 1/2 hours to pot 12 plants. How many plants can Samantha pot in hour?
Samantha can pot 8 plants in one hour.
To calculate how many plants Samantha can pot in one hour, we need to determine the rate at which she pots plants. She currently pots 12 plants in 1 1/2 hours, which is equal to 1.5 hours.
To find the rate, we divide the number of plants by the number of hours:
12 plants /1.5 hours=8 plants per hour
Therefore, Samantha can pot 8 plants in one hour.
Match the pre-image, and its clockwise rotation, with the coordinates of its image. 1. (5, 2); 90° (-2, -5) 2. (5, 2); 180° (2, -5) 3. (5, 2); 270° (-2, 5) 4. (-5, 2); 90° (5, 2) 5. (-5, 2); 180° (-5, -2) 6. (-5, 2); 270° (2, 5) 7. (-2, 5); 90° (-5, 2) 8. (5, -2); 180° (5, -2)
Answer:
(2,5) = (-5,2); 90°
(2,-5) = (5,2); 90°
(-2,-5) = (-5,2); 270°
(5,-2) = (-5,2); 180°
(-2,5) = (5,2); 270°
(5,2) = (-2,5); 90°
(-5,2) = (5,-2); 180°
(-5,-2) = (5,2); 180°
Each 90° clockwise turn takes a point (x,y) and transforms it to (y,-x). For a 180° turn you would do this process twice in a row; for a 270° turn, three times in a row.
Hope this helps!
∵∅Levi∅∵
∵ФωФ∵
In the diagram l//m.You also know that 3=~4 because vertical angles are congruent.Which of the following statement can be used to help show that ABC is similar to EDC
In what quadrant does point R lie?
A.
Quadrant I
B.
Quadrant II
C.
Quadrant III
D.
Quadrant IV
Answer:
Option: D
Point R lie on the Quadrant IV (i.e. quadrant fourth)
Step-by-step explanation:
Clearly from the given graph the point R lie on the fourth quadrant as the fourth quadrant is defined as the region such that any point on it with the given coordinates ; the x-value of any point is positive and y-value of any point is negative.
The coordinates of Point R from the given Graph has coordinates (5,-5).
Hence point R lie on the fourth quadrant.
Hence option D is correct.
What is the 32nd term of the arithmetic sequence where a1 = −33 and a9 = −121? −396 −385 −374 −363
The formula to find the general term of an arithmetic sequence is,
[tex] a_{n} =a_{1} +(n-1)d [/tex]
Where [tex] a_{n} [/tex]= nth term and
[tex] a_{1} [/tex] = First term.
Given, a9 = −121. Therefore, we can set up an equation as following:
[tex] -33+(9-1)d = -121 [/tex] Since, a1 = -33
- 33 + 8d = -121
-33 + 8d + 33 = -121 + 33 Add 33 to each sides of the equation.
8d = -88.
[tex] \frac{8d}{8} =\frac{-88}{8} [/tex] Divide each sides by 8.
So, d = - 11.
Now to find the 32nd terms, plug in n = 32, a1 = -33 and d = -11 in the above formula. So,
[tex] a_{32} = -33 +(32 -1) (-11) [/tex]
= -33 + 31 ( -11)
= - 33 - 341
= -374
So, 32nd term = - 374.
Hope this helps you!
a rectangular photograph is 4 inches wide and 6 inches long. The photograph is enlarged by increasing the length and width by an equal amount. If the area of the new photograph is twice as large as the oringinal area, what are the dimensions of the new photograph?
What is the quotient of the complex number 4-3i divided by its conjugate ?
Answer:
Quotient is[tex]\frac{7-24i}{25}[/tex]
Step-by-step explanation:
Given is a complex number as 4-3i
We have to find the quotient when divided by its conjugate
Its conjugate is
[tex]4+3i[/tex]
When divided we have
[tex]\frac{4-3i}{4+3i} =\frac{4-3i}{4+3i} \frac{4-3i}{4-3i}[/tex]
(to simplify the above)
=[tex]\frac{(4-3i)^2}{4^2+3^2} \\=\frac{7-24i}{25}[/tex]
Quotient is [tex]\frac{7-24i}{25}[/tex]
Answer:
7/25 - 24/25i
Step-by-step explanation:
Angle of rotation(including direction of rotation)
1. The lengths, in centimeters, of nine earthworms are shown below.
3, 4, 5, 5, 6, 7, 8, 9, 10
What is the median of the data?
A)5
B)6
C)7
D)8
2. Which measure of central tendency is MOST EASILY affected by outliers?
A) mean
B) median
C) mode
D) IQR
3. The math test scores of Mrs. Hunter's class are shown below.
48, 56, 68, 72, 72, 78, 78, 80, 82, 84, 88, 88, 88, 90, 94, 98, 100
What is the range of the scores?
A) 44
B) 52
C) 54
D) 62
4. The heights (in inches) of 13 plants are 6, 9, 10, 10, 10, 11, 11, 12, 12, 13, 14, 16, and 17.
What is the interquartile range of this data set?
A) 3.5
B) 6
C) 10.5
D) 11
Ken has 6 different colors of marbles he has 9 marbles of each color how many marbles does Ken have in all
Final answer:
Ken has a total of 54 marbles in all.
Explanation:
To calculate the total number of marbles Ken has, we need to multiply the number of colors of marbles by the number of marbles of each color. Ken has 6 different colors of marbles and 9 marbles of each color. To find the total, we perform the multiplication:
6 colors imes 9 marbles per color = 54 marbles.
Hence, Ken has a total of 54 marbles in all.
Gloria Trench checked her gas mileage and found that she had used 16.6 gal of gas to travel 372 mi. At this rate, how many gallons will she use to travel from San Francisco to Washington, D.C., a distance of 2,850?
Using the rate of miles per gallon for Gloria's car, we calculated that she will need approximately 127.2 gallons of gas to travel from San Francisco to Washington, D.C.
Explanation:To solve this problem, we'll use the principle of ratios.
First, we find the rate of miles per gallon for Gloria's car by dividing the distance travelled by the gallons used:
372 miles ÷ 16.6 gallons = 22.4 miles per gallon
With this information, we can calculate how many gallons Gloria will need to travel from San Francisco to Washington D.C., which is a distance of 2850 miles:
2850 miles ÷ 22.4 miles per gallon = 127.2 gallons
So, Gloria will use approximately 127.2 gallons of gas to travel from San Francisco to Washington, D.C., at her current rate.
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A cylinder has a volume of 136 cubic centimeters. What is the volume of a cone with the same height and the same diameter
You are a coffee shop owner and want to calculate the usual amount of money made each day, but you know that Fridays bring in more than double the revenue of any other day. Which measure of central tendency should you use?
A. Median
B. Mean
C. Mode
D. Any of the above
Final answer:
A. Median
The median is the most appropriate measure of central tendency for a coffee shop owner to use to calculate the usual daily revenue, as it is not skewed by the unusually high revenue on Fridays.
Explanation:
When considering which measure of central tendency to use for determining the usual amount of money made each day at a coffee shop, where Fridays bring in more than double the revenue of any other day, the best option would be the median. This is because the median is the middle point of the data distribution when the observations are ordered by their numerical values, and it is not affected by extreme values or outliers in the data.
The mean, or average, could be significantly skewed by the higher revenue on Fridays, thus not accurately depicting a typical day. The mode is the most frequently occurring value in the distribution, which may not be applicable to this situation unless you have multiple days with the exact same revenue.
Therefore, the median is most appropriate for this scenario as it is not influenced by the high revenue on Fridays and will provide a better indication of what a typical day's earnings might look like.
If a number is added to itself and the sum is multipled by 2 , the product is 4
A 15 oz can of peaches costs $1.99 and a 24 oz can of peaches cost $2.55. How much is the price per ounce of the 15 oz can of peaches
Alcia received a $75 gift certificate for her birthday. She went to a boutique to buy some T- shirts at $7 each and some socks for $2.50 a pair. If T represents the number of T-Shirts, and S represents the number of pairs of socks she bought, write an inequality that would determine the number of T-shirts and pairs of socks she could buy. HURRY PLEASE
T represents the number of T-Shirts
S represents the number of pairs of socks she bought
Each T-shirt cost $7, so 'T' T-Shirts will cost 7T
Each Pairs of socks cost $2.5, so 'S' pair of socks cost 2.5S
[tex] Total \; cost\; =\; T-shirts \; cost \; +\; Pair \; of \; socks\; cost \\ \\ Total \; Cost \; =\; 7T+2.5S\\ \\ [/tex]
Total cost should be less than or equal to 75 dollars.
Conclusion:
The inequality that would determine the number of T-shirts and pairs of socks she could buy is given below:
[tex] 7T+2.5S\leq 75 [/tex]
A bag contains 4 red, 3 yellow, 3 blue, and 2 white marbles, for a total of 12 marbles. If Lucia randomly picks two marbles from the bag without putting the first marble back, what is the probability that the first marble is red and the second is white?
[tex] |\Omega|=12\cdot11=132\\
|A|=4\cdot2=8\\\\
P(A)=\dfrac{8}{132}=\dfrac{2}{33}\approx6\% [/tex]
Answer:
2/33
Step-by-step explanation: