Answer:
[tex]\dfrac{3}{2}\; \sf cm/s[/tex]
Step-by-step explanation:
To determine the unit rate corresponding to the proportional relationship shown in the given graph, we need to calculate the slope of the line.
The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) can be found using the slope formula:
[tex]\boxed{\textsf{slope} =\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
Substituting the defined points (0, 0) and (6, 9) into the formula, we can calculate the slope:
[tex]\textsf{slope} =\dfrac{9-0}{6-0}=\dfrac{9}{6}=\dfrac{3}{2}[/tex]
Therefore, the slope of the line is 3/2.
The slope represents the rate of change between the two variables.
Therefore, the unit rate corresponding to this proportional relationship is 3/2 cm/s. This means that for every increase of 2 seconds, there is a corresponding increase of 3 cm.
Rewrite the false statement to make it true:
Answer: more than 500 shirts will be washed each day
Step-by-step explanation:
The price of a technology stock was $9.79 yesterday. Today, the price fell to $9.66. Find the percentage decrease. Round your answer to the nearest tenth of a percent.
Answer: 1.3%
Step-by-step explanation:
The percentage decrease can be found using the formula:
percentage decrease = [(original value - new value) / original value] x 100%
Substituting the given values:
percentage decrease = [(9.79 - 9.66) / 9.79] x 100%
percentage decrease = 1.33%
Rounding to the nearest tenth of a percent, the percentage decrease is 1.3%.
Answer: hope this helps ♡
The percentage decrease is 1.33%.
Step-by-step explanation:
Percentage decrease: dividing the value by the total value and then multiplying it by 100
Total value: $9.79 Value: $9.79 - $9.66 = 0.13
[tex]\frac{0.13*100}{9.79}[/tex] =
(0.13 × 100) ÷ 9.79 =
13 ÷ 9.79 =
1.32788559755 ≈ 1.33%
Marvin was in charge of ordering sodas for the class fundraiser. He made a circle graph to show the number of each size of soda. However, he accidently put his work in the graph showing the degree measures he used to make the chart instead of the number of sodas he needed and he threw away his original paper showing the number of each. Help him figure out how many of each size of soda he needs to order by answering the questions below. (Hint: There are 360 degrees total in a full circle.)
Answer:
for a: small=17% medium=38% large=33% extra large=13%
Step-by-step explanation:
Mars has a polar diameter of 6752 kilometers, and the Mars Reconnaissance Orbiter comes as close to the planet as 255 kilometers. How far does MRO travel in one orbit?
Answer:
MRO’s orbit is near enough to circular
that the formulas for circles can be used.ep-by-step explanation:
The MRO completes one orbit around Mars in about 2.3 hours, and travels a distance of 40,727 km in that time.
What is MRO?The Mars Reconnaissance Orbiter (MRO) is an orbiting spacecraft that was launched in 2005 by NASA. The objective of MRO is to study the climate, geology, and geography of Mars. MRO is currently in a nearly circular polar orbit around Mars, which allows it to observe the entire planet in high resolution. MRO has an orbital altitude of 255 km, and its orbital period is about 2.3 hours.
The circumference is 2πr, where r is the radius of the orbit. The radius of the orbit of MRO is the difference between the polar diameter of Mars and the closest approach of MRO to the planet, which is 6752 km - 255 km = 6507 km.
Thus, the circumference of the orbit of MRO is 2πr = 2π x 6507 km = 40,727 km. Therefore, the MRO travels 40,727 km in one orbit.
For more questions related to circumference
https://brainly.com/question/27447563
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A cylindrical of oatmeal canister has a diameter of 4 inches and a height of 10 inches. The manufacturing company wants to package the oatmeal in square containers to cut back on wasted storage space. If the new carton has a square base with 4 inch sides, what is the minimum height it must have, to the nearest 1/4 inch, to hold the same volume of oatmeal? Use 3.14 for the value of π.
Step-by-step explanation:
Volume of cylinder = pi r^2 h
Volume of square container = s x s x h
they need to be equal
pi r^2 h = s^2 h
pi (2)^2 * 10 = 4^2 h (diameter = 4 then radius = 2)
40pi / 16 = h = 7.9 in = ~ 8 in to the nearest 1/4 inch
he number line shows the solution set of which inequality?
A horizontal number line is labeled from 51 to 52. There is a closed circle at 51.52, and the number line is shaded to the right of 51.52.
A. j/4.6 > 11.2
B. j/1.5 > 16.3
C. j/12.7 > 19.6
D. j/1.4 > 1.1
50 POINTS SHOW YOUR WORK OR I WILL DELETE! !BRAINLIEST!
There are 18 pieces of chalk. The ratio of chalk that is yellow to chalk that is not yellow is 1 : 2. How many pieces of chalk are yellow? Show or explain how you got your answer.
Answer:
9
Step-by-step explanation:
1:2 is the same as 1/2
if 1/2 of the chalk is yellow, then divide 18/2
18/2 = 9
Answer:
6
Step-by-step explanation:
so do a tape diagram with 1 box and underneath 2 boxes you then divide 3 boxes by 18 giving you 18.
A startup software company’s total investment for the first two years is $24,894. Write and solve an equation to find the investment for the second year if the first year’s investment is $12,955.
Answer:x=9689
Step-by-step explanation:based on given conitions,formulate:13205+x=22894
Answer:
12,955 + x = 24,894
x = 11,939
Bryan randomly asked several students which type of animal they had at home as a pet. The results are in the pie chart below.
a. What percent of the students had dogs?
b. What percent of the students had birds?
c. How many total students did Bryan interview?
Answer:
60% of the students have dogs
10% of the students have birds
Bryan interviewed 200 students
Step-by-step explanation:
a.3/5 = 60%
b.60% + 30% = 90%
100% - 90% = 10%
c. 20 x 10 = 200
Answer: 60%, 10%, 200 students.
Step-by-step explanation:
Let's start with turning all of the values into percentages.
3/5 of the students said dogs. As a percentage, 3/5 is equal to 60%.
We now have two percentages, the amount of cats and the amount of dogs. 30%+60%=90%. So that leaves 10%, and that 10 percent is the 20 students who had birds.
If 20=10%, all we have to do is multiply 20 ten times to get to 100%. 20x10=200.
There were 200 students interviewed.
A school board randomly samples 80 students to determine their opinion on requiring school uniforms for the next school year. The table shows the results of the survey.
If there are 3,000 students in the district, how many students do you expect to be undecided about school uniforms?
Answer: 900
Step-by-step explanation:
If 24 out of 80 students are undecided, that is 24/80, or 3/10 (0.3).
To find how many would be undecided out of 3,000 students, multiply 3/10 by 3,000/1, and you get 900, which is your answer
Answer:
900
Step-by-step explanation:
A school board randomly samples 80 students to determine their opinion on requiring school uniforms for the next school year. The table shows the results of the survey.
If there are 3,000 students in the district, how many students do you expect to be undecided about school uniforms?
we can solve with an equation
80 : 24 = 3000 : x
x = 24 * 3000 : 80
x = 900
The number of students in 10 kindergarten classes is shown below.
20, 18, 21, 18, 22, 24, 18, 23, 23, 24
What number of students describes the first quartile?
What number of students describes the third quartile?
What number of students describes the interquartile range?
Answer:
1. 18
2. 23
3. 5
Step-by-step explanation:
The first quartile is 18, the third quartile is 23, and the interquartile range is 5.
Do you notice any points on the graphs that are an extreme value? What does this tell you?
HELP MEEEEEEEEEE PLS
If f(n) = n2 - 2n, which of the following options are correct?
Select all that apply.
f(2) = 0
f(-2) = 0
f(1) = 3
f(5) = 35
f(-4) = 24
Answer:
f(2) = 0
f(-4) = 24
Step-by-step explanation:
[tex] \hookrightarrow \: { \tt{ \sf{f(n) = {n}^{2} - 2n }}}[/tex]
When n is 2 ✔
[tex] \dashrightarrow \: { \tt{f(2) = {(2)}^{2} - (2 \times 2) = 4 - 4 = 0}} \\ [/tex]
When n is -2 ✖
[tex] \dashrightarrow { \tt{ {( - 2)}^{2} - (2 \times - 2) = 4 + 4 = 8 }}[/tex]
When n is 1 ✖
[tex] \dashrightarrow{ \tt{f(1) = {(1)}^{2} - (2 \times 1) = - 1 }}[/tex]
When n is 5 ✖
[tex] \dashrightarrow{ \tt{f(5) = {(5)}^{2} - (2 \times 5) = 15}}[/tex]
When n is -4 ✔
[tex] \dashrightarrow{ \tt{f( - 4) = {( - 4)}^{2} - (2 \times - 4) }} \\ { \tt{ = 16 + 8}} \\ { \tt{ = 24}}[/tex]
What is likely to have a mass close to 3 kilograms
A. 5-year-old-child
B. A Bowling ball
C. A lemon
D. A lion
B. A Bowling ball
3 kilograms is approximately 7 pounds, the weight of most Bowling balls
B. A Bowling ball
Step-by-step explanation:
Options A and D are most likely to weigh more than 3kg and option C will most likely weigh less but option B can weigh up to 3kg
Can someone pls help!!
It is the 3rd option
Solved each one and 3rd option was equivalent with a solution of 16.
50 POINTS PLS HELP AND BRAINLIEST
pls help again with these chapes
Solve the word problem below
(Translations LC)
Use the graph to answer the question.
Graph of polygon ABCD with vertices at 1 comma negative 1, 3 comma negative 5, 7 comma negative 5, 5 comma negative 1. A second polygon A prime B prime C prime D prime with vertices at 1 comma negative 6, 3 comma negative 10, 7 comma negative 10, 5 comma negative 6.
Determine the translation used to create the image.
5 units down
5 units up
1 unit down
1 unit up
The translation used to create the image include the following: A. 5 units down.
What is a translation?In Mathematics and Geometry, the translation of a geometric figure or graph to the left simply means subtracting a digit from the value on the x-coordinate of the pre-image;
g(x) = f(x + N)
Conversely, the translation a geometric figure downward simply means subtracting a digit from the value on the positive y-coordinate (y-axis) of the pre-image; g(x) = f(x) - N.
Based on the information provided, we have:
(x, y) → (x + h, y + k)
(1, -1) → (1, -6).
1 + h = 1
h = 1 - 1
h = 0
-1 + k = -6
k = -6 + 1
k = -5.
Read more on function and translation here: brainly.com/question/31559256
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Question please help
Question: The drying times in hours for a new paint are as follows:1.5,0.8,2.4,0.5,1.3,2.7,3.6,3.2,2.0,1.9 What is the median drying time
A. 1.99
B.1.95
C.1.9
D.1.5
E. NONE OF THE ABOVE
Answer:
First, we need to arrange the numbers in order:
0.5, 0.8, 1.3, 1.5, 1.9, 2.0, 2.4, 2.7, 3.2, 3.6
There are 10 numbers in the list, so the median is the middle value. In this case, the middle values are 1.9 and 2.0. To find the median, we take the average of these two numbers:
(1.9 + 2.0) / 2 = 1.95
Therefore, the median drying time is 1.95 hours, option B.
50 POINTS PLS HELP AND BRAINLIEST
Answer:
No
Step-by-step explanation:
Quarters Pennies
B1: 6. + 5=11
B2: 6. + 5=11
B3: 6. + 5=11
B1+B2 = 22
B1+B2+B3 = 33
So no
i dont think this deserves brainliest
Twelve students have an equally likely chance of being selected in a drawing at school. Eight are 7th graders and four are 8th graders.
1) What is the probability that an 8th grader will be selected?
2) If TWO students are being chosen for the drawing, what is the probability that BOTH students are 8th graders?
please help me and thank you
LeBron tosses a coin and chooses a card from a deck that has the numbers 1 - 4. Answer the questions below to organize the possible outcomes for tossing a coin and choosing a card from a deck that has the numbers 1 - 4.
a. Complete the tree diagram to show the possible outcomes.
b. Complete the list to show the possible outcomes.
c. Complete the table to show the possible outcomes.
d. Count all the possible outcomes from the tree diagram, list and table.
How many possible outcomes are there for tossing a coin and choosing a card from a deck that has the numbers 1 - 4?
Answers:
1a: The first tree diagram is H - 1, H - 2, H -3, H - 4
The second tree diagram is T - 1, T- 2, T - 3, T - 4
1b: H,1 ║ H,2 ║ H,3 ║ H,4
T,1 ║ T,2 ║ T,3 ║ T,4
1c: ║≡≡║ 1 ║ 2 ║ 3 ║ 4 ║
║ H ║ H1 ║ H2 ║ H3 ║ H4 ║
║ T ║ T1 ║ T2 ║ T3 ║ T4 ║
1d: There are 8 possible outcomes for tossing a coin and choosing a card
from a deck that has the numbers 1-4.
Hope this helps. I couldn't make a tree diagram. The list and the table are both wonky. Sorry for that, I'll also add a picture with the answers directly on the sheet :)
The circle graph describes the distribution of preferred music from a sample of 400 randomly selected middle school students.
a circle graph titled preferred music, with five sections labeled rock 13 percent, hip hop 25 percent, pop 35 percent, classical 13 percent, and jazz 14 percent
Which of the following conclusions can we draw from the circle graph?
Pop is the preferred music for 35 students.
Jazz is the preferred music for 56 students.
Together, Hip Hop, Rock, and Jazz are the preferred music for less than half the students.
Together, Hip Hop and Pop are the preferred music for 260 students.
Answer:
Step-by-step explanation:
(i) Number of people who are into classical music =10%
10% of pie chart =20 people.
1% ⇒ 10/20 ×100
and 100% ⇒ 10/20 ×100 × 100/ 100
⇒200 people.
(ii) Light chart represent maximum number as it is 40% of total. ∴ Light music is liked by maximum people.
(iii)
Number of CD's of classical music ⇒ 100/10 × 1000(10%) =100
umber of CD's of semi classical music = 100/20 × 1000(20%) =200
just like that 30% is 300, 40% is 400.
Hope this helped :)
-2 1/3 ÷ 4 2/3
Please help, I will grant the 1st person to answer correctly brainliest.
Answer: -1/2
Step-by-step explanation:
1. We know that -2 1/3 is also equal to -7/3, because we can multiply the denominator by the main number, and add the numerator.
2. We can do the same with 4 2/3, which would be 14/3.
3. Now, we are left with -7/3 divided by 14/3.
4. To make this easier, we can flip flop the 14/3 so we can multiply instead of divide, which leaves us with -7/3 x 3/14.
5. -7/3 x 3/14 = -21/42
6. We can simplify this to -1/2.
What number is 40% of 86? Show your work.
21.5
344
34.4
215
Answer:
What is 40% of 86? Show your work.
= (40*86)/100
= 3440/100 = 34.4
C. 34.4Step-by-step explanation:
You're welcome.
What changes would you make to solve any problems you might have in your society?
7, 11, 4, 2=10 What are the missing symbols?
Answer:
Step-by-step explanation:
Given : 7 11 4 2 =10. To Find : make it true using order of operations. Solution: 7 11 4 2 =10. 7 + 11 - 4 x 2 = 10. Applying BODMAS.
A laundry basket has 24 t-shirts in it. Four are navy, 12 are red, and the remaining are white. Find the following probabilities of choosing one shirt at random.
P(red) =
P(white') =
P(green) =
Answer:
p(red)=1/2
p(white)=1/3
p(green)=0
Step-by-step explanation:
p(green)=0 because there was no green tshirts in the first place
Answer:p(red)=1/2
p(white)=1/3
p(green)=0
Step-by-step explanation:
p(green)=0 because there was no green tshirts in the first place