The 33rd term of the arithmetic sequence, 7,10,13.... is: 103
Recall:
An arithmetic sequence has a common difference, d, which is the difference between consecutive terms.nth term of an arithmetic sequence is found using: an = a + (n - 1)d, where, a is the first term and d is the common difference.The sequence, 7,10,13,... is an arithmetic sequence because:
13 - 10 = 10 - 7 = 3
Therefore, to find the 33rd term, substitute a = 7, n = 33, and d = 3 into an = a + (n - 1)d.
Thus:[tex]a_{33[/tex] = 7 + (33 - 1)3
[tex]a_{33[/tex] = 7 + (32)3
[tex]a_{33[/tex] = 103.
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50 3.5 3.9 4.4 5.0 5.9 7. 1 8.8 11.8 45 40 35 30 25 20 15 Reduce your greenhouse gas emissions by choosing a car with better gas mileage. MPG A n n u a l T o n so fG H G At Sunny Middle School, Ms. Addison’s class is investigating how greenhouse gases (GHGs) contribute to global climate change. They wrote their research on note cards: • Greenhouse gases cause climate change by trapping heat on the planet. • Greenhouse gases contribute to smog and air pollution, which can cause respiratory diseases, like asthma. • Extreme weather, disruptions to the food supply, and increased wildfires are also caused by greenhouse gases. “Where do greenhouse gases come from?” Mia asked. “One of the most common greenhouse gases is carbon dioxide, also known as CO2. People release CO2 into the atmosphere when we burn fossil fuels (like coal and natural gas) for energy and transportation,” Ms. Addison answered. The class examined the graph to the right. The source for the largest percentage of CO2 emissions for a typical household was vehicles. The students conducted some research and found: > Highway vehicles release about 1.7 billion tons of GHGs each year. > Each gallon of gasoline burned creates 20 pounds of GHG. > A typical vehicle releases 6 to 9 tons of GHG into the atmosphere each year. For their group project, Mia and Ichiro researched hybrid cars that combine gas and an electric motor. “Awesome, so it consumes less fuel and emits less CO2 into the environment,” Ichiro said. “While hybrid cars are better for the environment, I’m seeing that some people are hesitant to buy one because of the higher purchase price,” Mia noted. They found the graph to the right, which shows the miles per gallon (MPG) and the annual tons of GHG produced by 8 different types of cars. If each gallon of gasoline burned created 20 pounds of GHG, and the price of gasoline was $2.454 per gallon, how much money was saved annually on gas by the car that got 40 miles per gallon when compared to the car that got 20 miles per gallon? Provide your answer to the hundredths place. Note: 1 ton = 2,000 pounds
Answer:
$42,110.65
Step-by-step explanation:
is 1/4 bigger than 3/5
Answer:
No.
Step-by-step explanation:
If you plug both fractions into a calculator, you will get:
1/4 = 0.25
3/5 = 0.60
Since 25 is less than 60, 1/4 is not greater than 3/5.
On a map, 2 inches represents 60 miles. If a line between two cities measures 9 inches, how many miles apart are they?
2 inches = 60 miles:
60 miles/ 2 inches = 30 miles per inch.
30 miles per inch x 9 inches = 270 total miles.
Answer: 270 miles
A sports writer wants to see if a football filled with helium travels farther, on average, than a football filled with air. 11 footballs were filled with helium to the recommend pressure and 12 footballs were filled with air to the recommended pressure. The mean yardage for the helium filled footballs was 291 yards with a standard deviation of 4 yards. The mean yardage for the air filled footballs was 285 yards with a standard deviation of 2 yards. Assume the populations are normal with equal variances.
(a). Construct a 80% confidence interval for the mean difference in in yardage for the two types of footballs
Lower bound
(use 3 decimal places)
Upper bound
(use 3 decimal places)
(b). What can you conclude about the sports writer's idea that helimum footballs travel farther, on average?
Determine the solution for the following equation: (8x-8)3/2=64
Answer:
X=3
Step-by-step explanation:
Edge2021
How to add rational expressions.
can someone help me with this please
Answer:
..............................................
Tamara has $500 in her bank account. Tamara withdraws money to buy concert tickets. After the withdrawal, the account balance changed by $75.00
Enter the amount of money, in dollars, Tamara must deposit to return her account to the orginal balance.
Tamara must deposits
Answer: 75
Step-by-step explanation:
Answer:
500 - 425 and that id 75 so Tamara has spent 425 dollars
Find the surface area! Please I need it quick
Step-by-step explanation:
We first find the area of a trapezium and rectangular faceFourmula to find the are of a trapezium is:Area=1/2*(B+b)*h =1/2*3.7*1.9 =3.515m²Since every rectangular face is different we gotta find each of themArea1=4.8*2.1 =10.08 m²Area2=4.8*1.4=6.72m²Area3=4.8*2.3=11.05m²Area4=4.8*1.9=9.12m²Now we find the area of the whole prismArea=3.515*2+10.08+6.72+11.05+9.12Area=44m²Sorry my wireless went down!!!Hope this helps and you already know what I would like to get√(7+√(24))÷2+√(7−√(24))÷2
Answer:
The exact form is √(7+√(24))÷2+√(7−√(24)) over 2. The decimal form is 2.44948974....
Step-by-step explanation: Hope this will help you! :D
HELP ME PLEASE
r | 6 + 1 =9
please help me this is due tomorrow and it’s my last question!!
if you can’t tell what it says it says R divided by 6 plus one equals 9!
Step-by-step explanation:
[tex] \frac{r}{6 } + 1 = 9 \\ \frac{r}{6} = 9 - 1 \\ \frac{ r }{6} = 8 \\ r = 48[/tex]
Answer:
r = 48
Step-by-step explanation:
The goal is to get r on one side of the equation.
To do this do the same thing to both sides of the eqaution to keep it in balance.
r/6 + 1 = 9
Subtract 1 from both sides
r/6 = 8
multiply both sides by 6
r = 48
Frank practised for 4 hours and 35 minutes. If he stopped practising at 9:17 p.m, what time did he start practising?
4:42 p.m
You start with 9:17 and you subtract 4 hours. That gives you 5:17. Now you have to subtract the remaining 35 minutes. To make things easy we can make 5:17, five o-clock. We can do this by subtracting 17 then you'll get five o-clock. Now you have another 28 minutes to subtract. 5:00 - 28 = 4:42. Then you add the p.m.
i need a answer ASAP
i give extra points and brainliest and i will help you if you give me the answer!
Solve: 6 3/7 - 1 3/6
its mixed number fractions im having a really hard time with it pls help
A: 4 7/13
B: 4 39/42
C: 7 7/13
D: 7 39/42
Again, no links please! and explanation is optional.
Answer:
Option B is correct.
Step-by-step explanation:
6 3/7 = 45/7
1 3/6 = 9/6 = 3/2
=> 45/7 - 3/2
=> 90/14 - 21/14
=> 69/14
=> 4 13/14
Therefore, Option B is correct.
(PICTURE PROVIDED)
A: 1 unit
B: 2 units
C: 3 units
D: 4 units
Answer:
Looks like 3 units if not try 4 units
Step-by-step explanation:
Hope this helps
A painter checks a canvas to be sure it is rectangular. One of the canvas’ diagonals measures 48 inches. If the canvas is a rectangle, what is the measure, in inches, of the other diagonal?
A.)24
B.)12
C.)96
D.)48
Answer:
D)48
Step-by-step explanation:
levi finds a skateboard that sells 139.99. the store charges 6% sales tax about how much money will he have to spend for his skateboard?
The amount Levi spends on this skateboard is $148.39.
Tax is an amount levied on goods and services by the government. Taxes increases the price of goods and services.
The amount Levi spends on this skateboard = value of the tax + cost of the skateboard
value of the tax = 6% x $139.99
0,06 x $139.99 = $8.40
The amount Levi spends on this skateboard = $8.40 + $139.99 = $148.39
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Find n. 36 ÷ n = 4 Need this quick
[tex]\rule{300}{3}[/tex]
[tex]\text{Hi!}[/tex]
To identify which number is "n", we'll need to divide the numbers that we DO know. For instance:
[tex]\text{36}[/tex] ÷ [tex]\text{4}[/tex] = [tex]\text{9}[/tex]
[tex]\boxed{\text{9}}[/tex]
[tex]\rule{300}{3}[/tex]
Work out the shaded area of this shape.
Answer:
73
Step-by-step explanation:
I’ll mark brainliest!! Please help:)
work out the m and c for the line 3y+2x=-1
Answer:
m = -2/3 and b = -1/3
Step-by-step explanation:
Write the equation of this line in slope-intercept form. Then m = slope and b = y-intercept and the basic equation is y = mx + b.
Solving 3y+2x=-1 for y, we get 3y = -2x - 1, or y = (-2/3)x - 1/3
Here we can easily see that m = -2/3 and b = -1/3.
Sara poured 3/4 of the juice from a 2 liter bottle while serving guest party.
How much juice, in liters, is still left in the bottle
Answer:The juice left in bottle is 0.5 litre
Step-by-step explanation:Sara poured 3/4 of the juice from a 2 liter bottle while serving guests at a party how many Juice in liters is still left in the bottle. 2.
What is the constant rate of change for this equation y = 1/9x-20 ?
Answer:
like:-
1/9x20 = 2 2/9
1/9-20 = 19 8/9
Step-by-step explanation:
I'm not sureAnswer: The constant rate change would be [tex]\frac{1}{9}[/tex].
Step-by-step explanation: The general rate of change can be found by using the difference quotient formula. To find the average rate of change over an interval, enter a function with an interval: f (x) = [tex]x^{2}[/tex] , [2,3]
Write y = [tex]\frac{1}{9}[/tex]x - 20 as a function which is f (x) = [tex]\frac{1}{9}[/tex]x - 20
Consider the difference quotient formula which is [tex]\frac{f (x +h) - f (x) }{h}[/tex].
Find the components of the definition. [tex]\frac{f (x+h) = \frac{h}{9} + \frac{x}{9} - 20}[/tex]simplify then it would be [tex]\frac{f (x) = \frac{x}{9} - 20 }[/tex].
Lastly plug in all the components.
[tex]\frac{f (x + h) - f (x)}{h} = \frac{\frac{h}{9} +\frac{x}{9} - 20 - (\frac{x}{9} - 20) }{h}[/tex]
After solving all this the answer would be [tex]\frac{1}{9}[/tex]
How many cubic meters of material are there in a conical pile of dirt that has radius 9 meters and height 6 meters? Use 3.14 for π
Answer:
556
Step-by-step explanation:
I hope this helps
Fill in geometry proofs. ANGLES. ( I WILL GIVE BRAINLIEST! PLS HELP!)
refer to attachment
Answer:
See belowStep-by-step explanation:
Missing reasons are:
2. Vertical angles theorem3. Definition of vertical angles4. Third angle theorem5. Given6. Given7. Definition of bisect8. SSSAnswer:
2. Reason: Vertical angles theorem
3. Reason: Definition of vertical angles
4. Reason: Third angle theorem
5. Reason: Given
6. Reason: Given
7. Reason: Definition of bisect
8. Reason: SSS
Hoped this helped.
What is the probability of getting 6 as a product explanation and calculation
For an individual die roll, the probability of rolling 6 is \dfrac{1}{6}
6
1
.
Effectively, this problem is asking for P(\text{1st roll is 6}\cap\text{2nd roll is 6})P(1st roll is 6∩2nd roll is 6).
Using the rule of product, this is:
\dfrac{1}{6}\times\dfrac{1}{6}=\dfrac{1}{36}
6
1
×
6
1
=
36
1
.
Use digits and symbols to write “ the product of one and three is less than the sum of one and three”
Answer:
1x3<1+3
Step-by-step explanation:
solve pls brainliest
Answer:
sorry, I cant help... i am not able to see the picture
Step-by-step explanation:
1) 1/2 × 4 × 2/3
2) 6 × 2/3 × 1/4
3) 8 × 2/5 × 10/12
4) 5/6 × 2/5 × 10
5) 1/9 × 3/4 × 1
Answer:
1/2 times 4 4/2 2*2/3 4/3
What is the slope between the points (-2, 3) and (1, 0)
what is -7/12 divide 1/7?
PLZ show work!!!!
Answer:
Step-by-step explanation:
When dividing two fractions you would turn the divisor into its reciprocal then multiply. So -7/12 divided by 1/7 would be equal to -7/12 multiplied by 7/1 (7/1 is the reciprocal of 1/7)
-7/12 divided by 1/7 =
-7/12 multiplied by 7/1=
-49/12
Simplify.