The first 4 terms of sequences a) n + 5 and b) 2n - 1 are calculated, as well as the 10th term of each sequence.
Explanation:For the sequence a) n + 5:
First 4 terms: 1 + 5 = 6, 2 + 5 = 7, 3 + 5 = 8, 4 + 5 = 9
10th term = 10 + 5 = 15
For the sequence b) 2n - 1:
First 4 terms: 2(1) - 1 = 1, 2(2) - 1 = 3, 2(3) - 1 = 5, 2(4) - 1 = 7
10th term = 2(10) - 1 = 19
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Is 36/6 a rational number
Answer:
yes
Step-by-step explanation:
Any ratio of two integers is a rational number, as long as the denominator is not zero.
6q-11=13
What does q equal to?
Answer:
q=4
Step-by-step explanation:
brainlest would be epic owo
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
6*q-11-(13)=0
Step by step solution :
Step 1 :
Pulling out like terms :
1.1 Pull out like factors :
6q - 24 = 6 • (q - 4)
Equation at the end of step 1 :
Step 2 :
Equations which are never true :
2.1 Solve : 6 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
2.2 Solve : q-4 = 0
Add 4 to both sides of the equation :
q = 4
Answer:
q=4
Step-by-step explanation:
6q-11=13 first you have to get all the like terms together so add 11 to both sides
6q=24 Now divide both sides by 6 so you just have q on one side
q=4
Which best explains why a hot air balloon rises into the air?
A. As the air is cooled, it becomes more dense and the balloon rises.
B. As the air is cooled, it becomes less dense and the balloon rises.
C. As the air is heated, it becomes less dense and the balloon rises.
Answer:
C. As the air is heated, it becomes less dense and the balloon rises.
Step-by-step explanation:
A is wrong. The denser cold air would cause the balloon to drop.
B is wrong. As the air is cooled, it becomes less dense.
Angle x measures 42°. Find the measure of angle y.
42°
48°
138°
148°
The graph of a proportional relationship passes through (4, 32) and (1, y). Find y.
Answer:
[tex]y = \frac{32}{4} = 8[/tex]
3) 8а - 5а answer please
Answer:
8a-5a=3a
Step-by-step explanation:
8-5=3, basically simple subtraction, just bring the variable to the other side.
what is the range of 8,9,9,8,8,5,8
Answer:
The range is 4
Step-by-step explanation:
To find the range, you subtract the lowest number from the highest number.
Example: If the set was: 1, 2, 6, 6, 8, 10
What is the highest number: 10
What is the lowest number: 1
You will do this -> 10 - 1 = 9
Problem: 8, 9, 9, 8, 8, 5, 8
What is the highest number: 9
What is the lowest number: 5
9 - 5 = 4
Answer: The range is 4
What is the solution set for this inequality?
−8x + 40 > −16
A) x > 7
B) x < 7
C) x > -3
D) x < -3
Answer:
B) x < 7
Step-by-step explanation:
−8x + 40 > −16
Subtract 40 from each side
−8x + 40-40 > −16-40
-8x > -56
Divide each side by -8, remembering to flip the inequality
-8x/-8 < -56/-8
x <7
Which is the equation of a line that has a slope of One-half and passes through point (2, –3)?
y = one-half x minus 4
y = one-half x minus 2
y = one-half x + 2
y = one-half x + 3
Answer:
The Answer is (A).
Step-by-step explanation:
hope this helps chu :)
Answer:
Its A
Step-by-step explanation:
I did the test! Hope this helps<3
Jen has 3 times as many stamps Jacks does. Together they have 36 stamps. How many stamps does Jen have
Answer:
Jen has 12 stamps.
Step-by-step explanation:
Answer: Jen has 27 stamps
Step-by-step explanation:
Let the number of stamps Jack has be y.
Since Jen has 3times of Jack stamps, Jack's stamp is 3×y which is 3y.
Jack's stamp+Jen's stamp= 36
y+3y = 36
4y = 36
y = 9
So Jack has 9 stamps and Jen has 9×3 which is 27 stamps.
Is 14.2 an integer and why
Answer:
No
Step-by-step explanation:
This is not an integer because integers can be positive or negative but never decimals or fractions.
Answer:No
Integers are whole numbers.
How long is the minor axis for the ellipse shown below?
(x+3)^2/64 + (y-7)^2/4=1
A. 16
B. 4
C. 8
D. 64
Imagine is shown above.
The length of the minor axis is 4
Step-by-step explanation:
Step 1 :
The given equation is [tex]\frac{(x-3)^{2}}{64} + \frac{(y-7)^{2}}{4} = 1[/tex]
Here we see the denominator below the variable x is greater than below y. Hence the ellipse's major axis and the minor axis are parallel to x-axis and y-axis respectively
Step 2 :
The square of the semi minor axis will be the denominator of the y variable. So in the given ellipse ,
the square of the semi minor axis = 4
Hence the length of the semi minor axis = [tex]\sqrt{4}[/tex] = 2
Step 3 :
The length of the minor axis = 2 times the length of the semi minor axis
= 2 × 2 = 4
Answer :
The length of the minor axis is 4
Final answer:
The length of the minor axis of the given ellipse is 4 units, as the semi-minor axis length is derived from the square root of the denominator of the y-term in the ellipse equation. The correct option is B.
Explanation:
The minor axis of an ellipse is the shortest diameter of the ellipse, and it runs perpendicular to the major axis. In the given equation of the ellipse, (x+3)²/64 + (y-7)²/4=1, the denominators of the fractions correspond to the squares of the semi-axes lengths. Therefore, the length of the semi-minor axis 'b' is the square root of 4, which is 2. Since the minor axis is twice the length of the semi-minor axis, we must multiply 2 by 2 to get the length of the minor axis, which is 4.
So the correct answer for the length of the minor axis for the given ellipse is 4 units, which corresponds to option B.
A bottle filled with water weighs 9.6 kilograms. If the
water by itself weighs 5 times as much as the bottle,
what is the weight of the bottle?
Answer:
1.92
Step-by-step explanation:
9.6 divided by 5 = 1.92
how long is the arc subtended by an angle of 32 on a circle of radius 27 cm
[tex]\bf \textit{arc's length}\\\\ s = \cfrac{\pi r\theta }{180}~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\[-0.5em] \hrulefill\\ r=27\\ \theta =32 \end{cases}\implies s = \cfrac{\pi (27)(32)}{180} \\\\\\ s = \cfrac{24\pi }{5}\implies s\approx 15.08[/tex]
find the difference in length between a walking stick and a bumblebee PLS HELP HURRY
Difference between the lengths of walking stick and lengths of bumble bee is [tex]3\frac{4}{8}[/tex] inch.
Solution:
Given data represents the length of the insects.
Length of the walking stick = 4 in
Length of the bumble bee = [tex]\frac{5}{8}[/tex] in
Difference between their length
[tex]$=4-\frac{5}{8}[/tex]
[tex]$=\frac{4}{1} -\frac{5}{8}[/tex]
To make the denominator same, multiply and divide the first term by 8.
[tex]$=\frac{32}{8} -\frac{5}{8}[/tex]
[tex]$=\frac{32-5}{8}[/tex]
[tex]$=\frac{27}{8}[/tex]
Now, change improper fraction into mixed fraction, we get
[tex]$=3\frac{4}{8}[/tex]
Difference between the lengths of walking stick and lengths of bumble bee is [tex]3\frac{4}{8}[/tex] inch.
the equation y=26.2x represents the number of miles y Conrad runs in x marathons. determine if there is a constant of variation. if so, explain what it represents:/
Final answer:
Yes, there is a constant of variation in the given equation y = 26.2x. The constant of variation represents the rate at which the number of miles y increases for every marathon x completed by Conrad.
Explanation:
Yes, there is a constant of variation in the given equation y = 26.2x. A constant of variation is represented by the coefficient or the number multiplied by x in the equation, which in this case is 26.2. It represents the rate at which the number of miles y increases for every marathon x completed by Conrad. So, for every marathon Conrad runs, the number of miles he runs increases by 26.2.
you have 24 homework problems for math class. you finish 1/2 of them during some extra time in class. If you complete 4 more problems while waiting for the bus, what fracrion of the 24 problems will remain
Answer:
⅓ remaining
Step-by-step explanation:
½ of 24 = 12
12 + 4 = 16 done
24 - 16 = 8
8/24 = 1/3
Answer:
1/3
Step-by-step explanation:
1) we have 24 problems
2) we finish half of them
What is half of 24?
It’s 12
So far, we have 12 problems to do
Then we finished 4 more problems so we can subtract 4 from 12
12-4=8
8 more problems left out of the 24 we had
8/24=1/3
1/3 of the 24 problems remain
Hope this helps!
Batteries are sold in boxes and packets
Each packet contains 8 batteries
Each box contains 25 batteries
Jonathon buys p packets of batteries and b boxes of batteries
write down an expression of the terms p and b for the total number of batteries bought
Answer:
8p + 25b
Step-by-step explanation:
The expression of the word problem above can be written thus:
[tex]8p + 25b[/tex]
1. Calculate the average speed of a car that travels 600m in 60 seconds.
2. Calculate the average speed of a cyclist who travels 100m in 5 seconds.
3. Calculate the average speed of a train that travels 4000m in 80 seconds.
4. Calculate the average speed of a bus that travels 2500m in 500 seconds.
5. Calculate the average speed of a rocket that travels 3000m in 2 seconds.
Answer:
1-10m/s
2-20m/s
3-5/m/s
4-5m/s
5-1500m/s
Step-by-step explanation:
using formula of speed i.e. speed=distance/time or v=s/t. solve for all five cases.
we get,
1- v=s/t=600/60 =10m/s
2- v=s/t=100/5 =20m/s
3- v=s/t =400/80=5m/s
4-v=s/t=2500/500=5m/s
5-v=s/t=3000/2=1500m/s
1. The average speed of a car that travels 600m in 60 seconds is 10 m/s
2. he average speed of a cyclist who travels 100m in 5 seconds is 20 m/s
3. The average speed of a train that travels 4000m in 80 seconds is 50 m/s
4. The average speed of a bus that travels 2500m in 500 seconds is 5 m/s
5. The average speed of a bus that travels 2500m in 500 seconds is 1500 m/s.
To calculate the average speed, we use the following formula:
Average speed = Distance / Time
1. Average speed of a car that travels 600m in 60 seconds:
Average speed = 600m / 60s = 10 m/s
2. Average speed of a cyclist who travels 100m in 5 seconds:
Average speed = 100m / 5s = 20 m/s
3. Average speed of a train that travels 4000m in 80 seconds:
Average speed = 4000m / 80s = 50 m/s
4. Average speed of a bus that travels 2500m in 500 seconds:
Average speed = 2500m / 500s = 5 m/s
5. Average speed of a rocket that travels 3000m in 2 seconds:
Average speed = 3000m / 2s = 1500 m/s
Please note that the unit of speed can vary depending on the context. For example, we can express speed in meters per second (m/s), kilometers per hour (km/h), or miles per hour (mph).
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The difference of a number and six is seven. Find the number.
Answer 13-6=7
Step-by-step explanation:
The given expression indicates a difference of six and an unknown number equals to seven. To solve, we isolate the unknown number by adding six to both sides of the equation. Thus, the unknown number is 13.
Explanation:The question states that 'The difference of a number and six is seven.' To find out the number, we can set up the following equation where x represents our unknown number:
x - 6 = 7
To solve for x, we can add 6 to both sides of the equation, which balances it rendering the final result:
x = 7 + 6
Finally, adding 7 and 6, we find that x = 13. The number we are seeking is 13.
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2.3.5.9.17
How does each term relate to the previous term?
Add 1.
Multiply by 3 and stract 3.
Multiply by 2 and subtract 1.
Multiply by 2 and subtract 3.
Answer:
Multiply by 2 and subtract 1
Step-by-step explanation:
If we consider the sequence term by term
n = 2 → 2(2) - 1 = 4 - 1 = 3 ← the second term
n = 3 → 3(2) - 1 = 6 - 1 = 5 ← the third term
n = 5 → 5(2) - 1 = 10 - 1 = 9 ← the fourth term
n = 9 → 9(2) - 1 = 18 - 1 = 17 ← the fifth term
Answer:
C. Multiply by 2 and subtract 1.
Step-by-step explanation:
2 × 2 = 4. 4 - 1 = 3
3 × 2 = 6. 6 - 1 = 5
5 × 2 = 10. 10 - 1 = 9
9 × 2 = 18. 18 - 1 = 17
In the diagram, HK is tangent to Circle O. If HK is 24mm and the length from H to the
edge of the circle along OH is 18mm, what is the length of the radius of the circle?
Answer:
The length of the radius of the circle is 7 mm
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
If HK is tangent to circle O at point K
then
The radius OK is perpendicular to segment HK and triangle OKH is a right triangle
Applying the Pythagorean Theorem
[tex]OH^2=OK^2+HK^2[/tex]
we have
[tex]OH=(r+18)\ mm\\OK=r\ mm\\HK=24\ mm[/tex]
substitute
[tex](r+18)^2=r^2+24^2[/tex]
solve for r
[tex]r^2+36r+324=r^2+576[/tex]
[tex]36r=576-324\\36r=252\\r=7\ mm[/tex]
therefore
The length of the radius of the circle is 7 mm
Ryan measures a rectangle that is 9 feet long and 5 feet wide. Teo measures a rectangle that has an area of 36 square feet. Which rectangle has the greater area/ explain
Answer:
Teo's rectangle has the greater area.
Step-by-step explanation:
Since a rectangle has the same opposite sides of parallel sides, you need to add or multiply 9 times 9 or 9 + 9 and 5 times 5 or 5 + 5. 9 x 9 or 9 + 9 equals 18, and 5 + 5 or 5 x 5 equals 10. Then, 18 and 10 is to be added. 18 + 10 is 28. So, that means Teo's rectangle has the greater area because, 28 is less than 36.
To compare the areas of the rectangles, calculate the area of each rectangle. Ryan's rectangle has a greater area of 45 square feet compared to Teo's rectangle which has an area of 36 square feet.
Explanation:To compare the areas of the two rectangles, we need to calculate the area of each rectangle. The area of a rectangle is found by multiplying its length by its width. For Ryan's rectangle, the length is 9 feet and the width is 5 feet, so the area is 9 feet × 5 feet = 45 square feet. For Teo's rectangle, we are given that the area is 36 square feet. Since 45 is greater than 36, Ryan's rectangle has the greater area.
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Select the most SPECIFIC name for this shape
O Trapezoid
O Rectangle
O kite
O Quadrilateral
Answer:
Option A, Trapezoid
Step-by-step explanation:
Since there is two parallel sides and two nonparallel, that means it is a trapezoid.
Answer: Option A, Trapezoid
Marta is solving the equation S = 2πrh + 2πr2 for h. Which should be the result?
Answer:
h = S - 2πr² /2πr
Step-by-step explanation:
Marta is solving the equation S = 2πrh + 2πr2 for h. Which should be the result?
To solve;
S = 2πrh + 2πr²
The first thing to do is to subtract 2πr² from both-side of the equation
S - 2πr² = 2πrh + 2πr² - 2πr²
S - 2πr² = 2πrh
Then next is to divide both-side of the equation by 2πr
S - 2πr² / 2πr = 2πrh /2πr
On the right-hand side of the equation 2πr at the numerator will cancel-out 2πr at the denominator, leaving us with just h while on the left-hand side of the equation S-2πr² will be divided by 2πr)
S - 2πr² / 2πr = h
Therefore the result should be h = S - 2πr² / 2πr
Answer:
A) [tex]h =\frac{s}{2\pi r} -r[/tex]
Step-by-step explanation:
[tex]s = 2\pi rh + 2\pi r^2[/tex]
[tex]s = 2\pi r (h + r)\\h + r =\frac{s}{2\pi r} \\h =\frac{s}{2\pi r} -r[/tex]
Select the correct answer
Psychologists have identified four stages of personality growth. In which stage does a person develop life skills and learn to take initiative?
A
infancy
childhood
B.
c. adolescence
D. adulthood
Reset
Next
Answer:
adolescence
Step-by-step explanation:
A napkin is 37 centimeters long.How many millimeters is this?
Answer:
370 millimeters
Step-by-step explanation:
Have a nice day :)
Step-by-step explanation:
1 cm = 1 millimeters
[tex] \therefore \: 37 \: cm \: = 37 \times 10 = 370 \: mm[/tex]
A basketball has a diameter of 9.5 in. When full, ABOUT how much air will the basketball hold? ( please do not guess)
A. 100 cubic inches
B. 380 Cubic inches
C. 450 Cubic inches
D. 3,600 Cubic inches
Answer:
I got 3591.36 cubic inches
Step-by-step explanation:
Its wrong its wrong
2. Evelyn has $7. Liz gives her one $5 bill
and two $1 bills. How much money does
Evelyn have now?
Answer:
14 dollars.. hope it helps!
Step-by-step explanation:
7+5+1+1=14
Final answer:
Evelyn initially has $7, and after Liz gives her a $5 bill and two $1 bills, Evelyn's total money becomes $14.
Explanation:
The question asks us to calculate how much money Evelyn has after Liz gives her additional cash. Initially, Evelyn has $7. Liz gives her one $5 bill and two $1 bills. To find out the total amount of money Evelyn has now, we simply need to add the amounts together:
Original amount Evelyn has: $7
Liz gives her: 1 x $5 bill = $5
Plus: 2 x $1 bills = $2
Total amount after receiving money from Liz: $7 + $5 + $2 = $14
Therefore, Evelyn now has a total of $14.
what is 54 percent of 489
Answer:
264.06
Step-by-step explanation:
Answer:
264.06
Step-by-step explanation:
54% of 489
0.54 x 489=264.06