Analyze the following pattern: 1, 2, 5, 10, 17, what is the 8th term of the pattern
To find the 8th term of the pattern 1, 2, 5, 10, 17, analyze the differences between consecutive terms and find the common difference. Add that common difference to the 7th term to find the 8th term.
Explanation:To analyze the pattern, we can observe that the difference between consecutive terms is increasing by 1 each time. Let's find the common difference:
2 - 1 = 15 - 2 = 310 - 5 = 517 - 10 = 7From these differences, we can see that the common difference is increasing by 2 each time. So the difference between the 7th term and the 6th term would be 7 + 2 = 9. Using this pattern, we can find the 8th term:
17 + 9 = 26explain in words how to find the product of -4(-1.5) on the number line
Multiplying Negatives odd # of negatives means negative answer. even means positive answer.
-4(1.5) Change both to improper fractions
-4/1(6/5) Multiply
-24/5 Simplify
-4 4/5 THE END
To find the product of -4(-1.5) on the number line, start from zero, move 4 units to the left due to the negative sign, and then move 6 units (4 x 1.5) to the right because of the negative multiplied by a negative rule. The result is 6.
Explanation:To find the product of -4(-1.5) on the number line, you would follow a few steps. First, choose your starting point on the number line. In this case, the starting point would be zero.
Next, because the first number is negative, move 4 units to the left from zero. Since the second number is also negative, it changes the direction. So multiply by 1.5 in the opposite direction, which means moving to the right on the number line.
However, as it's a decimal multiplication you need to move 1.5 times or multiply the distance you moved when you moved 1 unit 4 times. It's like taking 1.5 steps to the right for each of the 4 steps we initially moved to the left. In the end, you will end up 6 units to the right of 0. Thus, the product of -4 and -1.5 is 6.
Learn more about Number Line Multiplication here:https://brainly.com/question/14862617
#SPJ2
round 457.395 to 2 decimal places
Write 337,060 in expanded form using exponents
1. expand using place value.
337,060 = 300,000 + 30,000 + 7,000 + 000 + 60 + 0
Next, we will use exponents:
300,000 = 3 * 10^5
30,000 = 3 * 10^4
7,000 = 7 * 10^3
000 = 0 * 10^2
60 = 6 * 10
0 = 0 * 10^0
then after combing these exponents, we can write the number as:
337,060 = 3 * 10^5 + 3 * 10^4 + 7 * 10^3 + 0 * 10^2 + 6 * 10 + 0 * 10^0
Finally, removing the meaningless zeroes, we would end up with:
337,060 = 3 * 10^5 + 3 * 10^4 + 7 * 10^3 + 6 * 10
Determine if the sentence is true. Select all that apply.
2+5=19 - 12
4^5 + 1^5 = 2-1-1
5-4-3-2-1 = 30 - 34 -1
2(x+ 8)=2x - 8
2(x+5) -4x= 3(x-2)-5x+16
1st and 5th are true.
Mrs. Travis rode her bike 17.8 miles the first week, 21.5 miles the second week, and 13.4 miles the third week. The rest of her mileage was in the final week of the month. Her total mileage for the month was 62.9 miles.
She rode her bike 10.2 mile the final week.
You simply just add all of the numbers together & subtract from 62.9 then get 10.2.
Hopefully this helps! :-)
Pls help, pls just only tell me how to solve
To find f(2), look and see where the line crosses the Y axis, when The line is on X 2.
The line is on Y = -2, so the answer would be -2.
select whether the equation has a solution or not, square root x-2- square root 2x= square root x+2 (a. roots b. no roots)
The equation is [tex]\sqrt{x-2 \\ \\[/tex] -[tex]\sqrt{2x}[/tex] = [tex]\sqrt{x +2}[/tex]
Solution
Step 1:
Take square on both sides, we get
3x - 2[tex]\sqrt{x-2}[/tex][tex]\sqrt2{x}[/tex] -2 = x +2
Step 2:
Subtract 3x - 2 from both sides, we get
-2[tex]\sqrt{x-2} \sqrt{2x} = -2x + 4[/tex]
Step 3:
Again, square on both sides in order to get rid of the square root from the above equation, we get
[tex]8x^{2}-16x = 4x^{2} -16x +16[/tex]
Now we have to simplify it,
[tex]4x^{2} -16 = 0[/tex]
Step 4:
Now we have to solve this quadratic equation, in order to get the solution.
We get x = 2 and x = -2, When we verifying solution in the original given equation, the solution does not satisfy the equation.
Reason: We get negative number in the square root.
Therefore, it has no Roots.
Answer: b) No roots
During a heavy rainstorm, a city in Florida received
12 1/4 inches of rain in 25 1/2 hours. What is the approximate
rainfall rate in inches per hour?
A about 2 inches per hour
B about 1/4 inch per hour
C about 1 inch per hour
D about 1/2 inch per hour
Answer: D. About [tex]\frac{1}{2}[/tex] inches per hour.
Step-by-step explanation:
1. The city received [tex]12^{\frac{1}{4}}[/tex] inches of rain in [tex]25^{\frac{1}{2}}[/tex] hours.
2. Let's write the mixed number as decimal numbers:
[tex]12^{\frac{1}{4}}in=12.25in[/tex]
[tex]25^{\frac{1}{2}}h=25.5h[/tex]
3. To find the approximate rainfall rate in inches per hour, you must divide 12.25 inches by 25.5 hours, as following:
[tex]\frac{12.25in}{25.5h}=0.48\frac{in}{h}[/tex]
4. If you round the result to the nearest tenth, you obtain:
[tex]0.5\frac{in}{h}=\frac{1}{2}\frac{in}{h}[/tex]
5. Therefore, the answer is the option D.
The approximate rainfall rate is closest to 0.5 inches per hour therefore the correct answer is Option D.
To determine the approximate rainfall rate in inches per hour, we need to divide the total amount of rainfall by the duration over which it fell.
Total rainfall: [tex]12 \frac{1}{4}[/tex] inches (which is equal to 12.25 inches)Duration: 25 [tex]\frac{1}{2}[/tex] hours (which is equal to 25.5 hours)Using the formula for intensity:
Intensity (inches per hour) = Depth (inches) / Duration (hours)Intensity = 12.25 inches / 25.5 hours ≈ 0.48 inches per hourThe approximate rainfall rate is closest to 0.5 inches per hour, so the correct answer is Option D: about 1/2 inch per hour.
1. There are 6 girls and 7 boys in a class. A team of 10 players is to be selected from the class. How many different combinations of players are possible?
2. There are 6 girls and 7 boys in a class. A team of 10 players is to be selected from the class. If the selection is random, what is the probability of selecting a team of 5 girls and 5 boys? what is the decimal?
Answer: 1. 286 different combinations of players are possible.
2. The probability of selecting a team of 5 girls and 5 boys is [tex]\frac{63}{143}[/tex] and the decimal is 0.4405...
Step-by-step explanation:
1. Number of girls is 6 and number of boys is 7.
So, the total number of players = 6+7 = 13
A team of 10 players is to be selected from the class.
So, the total possible number of different combinations of players will be: [tex]^1^3C_{10} = \frac{13!}{10! (13-10)!}=\frac{13*12*11*10!}{10!*3!}= \frac{13*12*11}{6}=286[/tex]
2. Number of girls is 6 and number of boys is 7.
The possible number of teams by selecting 5 girls and 5 boys will be: [tex]^6C_{5}\times ^7C_{5} =6\times 21= 126[/tex]
and the number of total possible teams of 10 players [tex]= ^1^3C_{10} =286[/tex]
Thus, the probability of selecting a team of 5 girls and 5 boys [tex]=\frac{126}{286}= \frac{63}{143}[/tex] or [tex]0.4405...[/tex]
What is the equation of the verticl line through (5,2)?
Final answer:
The equation of a vertical line passing through the point (5,2) is x = 5. This type of line has an undefined slope and is defined by its x-coordinate, not dependent on the y-coordinate.
Explanation:
The equation of a vertical line that passes through the point (5,2) can be determined by understanding that a vertical line has an undefined slope and does not depend on the y-coordinate for its location on a coordinate plane. Instead, a vertical line's location is solely determined by its x-coordinate. Therefore, the equation of a vertical line that passes through (5,2) will have the same x-coordinate for all its points. This means that the equation for the vertical line through (5,2) is simply x = 5.
This equation is different from the conventional y = mx + b, which defines a straight line with a slope m and y-intercept b. In the case of a vertical line, the slope is undefined, and therefore, the standard linear equation cannot be applied. Instead, the equation is independent of y and is expressed only in terms of the constant x-value of the vertical line.
What is the value of y 10 18 2y+4 10+2x
Answer:
[tex]y=3[/tex]
Step-by-step explanation:
Given figure is a rectangle.
In a rectangle , opposite sides are equal
to find out y we equate the opposite sides 10 and 2y+4
[tex]10=2y+4[/tex]
Subtract 4 from both sides
[tex]10-4=2y+4-4[/tex]
[tex]6= 2y[/tex]
Divide both sides by 2
[tex]y=3[/tex]
It takes 19 minutes to get from Yermin’s house to the beach. If she has traveled for 5 minutes already, how many more minutes will it be until she reaches the beach?
it will be 14 more minuted because she has completed 5/19 minutes it takes to reach the beach.. we can get this answer by taking the total number of minuted to get to the beach (19) and subtract the number of minutes she has already walked (5)..... our answer is that she has 14 minutes left till she reaches the beach.
Answer
It is Going To Take 14 Minutes
Sam thinks of a number n. He multiplies his number by 7 and then he adds 3 to the result. His final answer is 45. Write down an equation for this information
Solve the equation and find the number n.
N x 7 +3 = 45
N = 6 Hope this helps.
Hi GueenSilia,
Answer: (n x 7) + 3
45 - 3 = 42
42 / 7 = n
n x 7 + 3 = 45
----------------------------
42 / 7 = 6
6 x 7 = 42
42 + 3 = 45
n = 6
Simplify the expression
[tex]3x\sqrt[3]{648x^4y^8}\\\\=3x\sqrt[3]{216\cdot3x^{3+1}y^{3+3+2}\\\\=3x\sqrt[3]{216}\cdot3x^3x^2y^3y^2y^2}\qquad|\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\3x\sqrt[3]{216}\cdot\sqrt[3]{x^3}\cdot\sqrt[3]{y^3}\cdot\sqrt[3]{y^3}\cdot\sqrt[3]3xy^2}\quuad|\text{use}\ \sqrt[3]{a^3}=a\\\\=3x(6)(x)(y)(y)\sqrt[3]{3xy^2}\\\\=18x^2y^2\sqrt[3]{3xy^2}\to\boxed{B.}[/tex]
What is equation of the following line ?
Answer:
B is your best Bet
Step-by-step explanation:
for this problem, you would have to do B because thats the best bet compared to the other answers
What is the value of "k" in the function f(x) = 112 - kx if f(-3) = 121
4x-10+14+7x-10x+2
I just want to make sure I got it right
Combine like terms:
4x, 7x, -10x
-10, 14, 2
4x + 7x - 10x = x
-10 + 14 + 2 = 6
6 + x should be the correct answer.
Thirty is five minus the product of five and a number.find the number
5x-5=30
Add 5 to both of the sides
5x=35
Divide 5 to both of the sides
X=7
Functions can be defined using graphs, tables, and ordered pairs. Define the domain and range of a function.
The domain is the output and the range is the input.
The domain is any x-value used and the range is all numbers.
The domain is all numbers and the range is any x-value used.
The domain is the input and the range is the output.
Sarah owns a car that runs on a mixture of gasoline and ethanol. She can buy fuels that have 85% ethanol or 25% ethanol. How much of each type of fuel should she buy if she wants to fill her 20 gallon tank with a mixture of fuel that contains 50% ethanol?
Denise needs to buy 25/3 gallons of 85% ethanol and 35/3 gallons of 25% ethanol to have 20 gallons of 50% ethanol.
x | y | 20 gal
use x and y because you don't know how much she needs.
0.85x | 0.25y | 20(0.5)
85% is 85/100 or 0.85, and you need that much of x, same goes for the 25% and 50% mixtures
so now you can make up 2 equations
1) x + y = 20
2) 0.85x + 0.25y= 10 (you get 10 when you multiply 20 by 0.5)
now you can solve for x or y using substitution. first rewrite 1) in terms of x or y:
x+ y= 20 ----> y= 20 - x
now you can substitute 20- x for y in the second equation..
0.85x + 0.25y= 10
0.85x + 0.25(20-x)= 10 distribute here..(0.25 * 20 and 0.25 * (-x) )
0.85x + 5 - 0.25x = 10 combine like terms
0.6x +5 = 10 move the 5 over to the other side
0.6x= 10 -5
0.6x = 5 divide both sides by 0.6
x= 25/3 or 8.3 now you know the amount of x so you can substitue this back into the first equation to find y.
0.85x + 0.25y= 10
0.85(25/3) +0.25y= 10
85/12 + 0.25y= 10
0.25y = 10- 85/12
0.25y= 35/12
y= 35/3 or 11.6
you can check by putting these values into the euations:
1) x+ y= 20
25/3 + 35/3 =20
20= 20 good so far
2) 0.85x + 0.25y= 10
0.85(25/3) + 0.25(35/3)=10
10 = 10 so our values for x and y work
What is 64 ounces in 8 cups as a unit rate
you have to divide 64 and 8
then you get the answer: 8 ounces per cup
Jasmine went to the store and bought a pair of shoes for $44 and seven pairs of pants. He spent $96 in total. How much did each t shirt cost? I will give you 100 points
First, subtract 44 from the 96. You get 52. Then, divide 52 by 7 to figure out what each shirt costs. The answer is 52/7, or $7.43. She spent 7 dollars and 43 cents on each shirt.
Bobby is earning money for a new radio. He is paid $4.00 for each car he washes and $1.00 for each bag of leaves he rakes. If he washes 7 cars and fills 10 bags of leaves, how much money will he earn?
He washes 7 cars and gets $4.00 for each one :
So it's the number of cars times the money he gets for each one - 7 times 4 = 28
He fills 10 bags of leaves and gets $1.00 for each bag:
So it's the number of bags times the money he gets for each one - 10 times 1 = 10
Than you add the money from the cars to the money of bags : $10 + $28 =
$38 total
Answer: $38.00
why; live
estimate 19 precent of 41
19% turns into 20%
20%*41=8.2
Have a nice day.
Order from least to greatest 4/5 3/4 0.88
Help me pls before the teacher notices
9) [tex]3 + 5n = 1 + 8n + 2[/tex] | subtract 5 on both sides, and solve 8n and -5n
[tex]3 = 1 + 3n + 2[/tex] | combine like terms, add 2 and 1
[tex]3 = 3n + 3[/tex] | subtract 3 on both sides, and solve 3 and -3
[tex]0 = 3n[/tex] | divide by 3n
[tex]0 = n[/tex] | final answer
10) [tex]5x + 12 = 4x + 6[/tex] | subtract 4x on both sides, solve -4x and 5x
[tex]x + 12 = 6[/tex] | subtract 12 on both sides, solve -12 and 6
[tex]x = -6[/tex] | final answer
11) [tex]-8x - 4 = 7 (-2 - 4x) + 4x[/tex] | distribute 7 into the parentheses
[tex]-8x - 4 = -14 - 28x + 4x[/tex] | combine like terms
[tex]-8x - 4 = -14 - 24x[/tex] | add 8x on both sides, and solve 8x and -24x
[tex]-4 = -14 - 16x[/tex] | add -14 on both sides, and solve 14 and -4
[tex]10 = -16x[/tex] | divide by -16 on both sides, and solve
[tex]-0.625 = x[/tex] | final answer
12) [tex]16 - 2n = - 8 + 4 (n - 3)[/tex] | distribute 4 into the parentheses
[tex]16 - 2n = -8 + 4n - 12[/tex] | combine like terms
[tex]16 - 2n = 4n - 4[/tex] | add 2n on both sides, and solve 2n and 4n
[tex]16 = 6n - 4[/tex] | add 4 on both sides, and solve 4 and 16
[tex]20 = 6n[/tex] | divide by 6 on both sides, and solve
[tex]3.33333 = n[/tex] | final answer (repeated)
13) [tex]-6 (3 - 6r) = -18 + 4r[/tex] | distribute -6 into the parentheses
[tex]-18 + 36r = -18 + 4r[/tex] | subtract 4r on both sides, solve 36r and -4r
[tex]-18 + 32r = -18[/tex] | add -18 on both sides, solve -18 and 18
[tex]32r = 0[/tex] | divide by 32 on both sides, and solve.
[tex]r = 0[/tex] | final answer
14) [tex]4 (3b - 1) = 9 - b[/tex] | distribute 4 into the parentheses
[tex]12b - 4 = 9 - b[/tex] | add -b on both sides, solbe 12 and b
[tex]13b - 4 = 9[/tex] | add -4 on both sides, solve 9 and 4
[tex]13b = 13[/tex] | divide 13 on both sides, solve
[tex]b = 1[/tex] | final answer
15) [tex]-6x + 7 (1 - x) = -4 (x - 4)[/tex] | distribute 7 into parentheses
[tex]-6x + 7 - x = -4 (x - 4)[/tex] | distribute -4 into the parentheses
[tex]-6x + 7 - x = -4x + 16[/tex] | combine like terms
[tex]-5x + 7 = -4x + 16[/tex] | add -4x on both sides, solve -5x and 4x
[tex]-x + 7 = 16[/tex] | subtract 7 on both sides, solve 16 and -7
[tex]-x = 9[/tex] | divide by -1 on both sides, solve
[tex]x = -9[/tex] | final answer
16) [tex]5 - (8v + 5) = -4 (1 + 3v)[/tex] | distribute the - and -4 into the parentheses
[tex]5 - 8v - 5 = -4 - 12v[/tex] | combine like terms
[tex]10 + 8v = -4 - 12v[/tex] | add 12v on both sides, solve 12v and 8v
[tex]10 + 20v = -4[/tex] | subtract 10 on both sides, solve -4 and -10
[tex]20v = - 14[/tex] | divide 20 on both sides, and solve
[tex]v = -0.7[/tex] | final answer
17) [tex]-8 (4 + 4n) = 8 (n + 6)[/tex] | distribute -8 and 8 into the parentheses
[tex]-32 - 32n = 8n + 48[/tex] | add -32n to both sides, solve 32n and 8n
[tex]-32 = 40n + 48[/tex] | subtract 48 on both sides, solve -32 and -48
[tex]-80 = 40n[/tex] | divide -80 on both sides, and solve
[tex]-2 = n[/tex] | final answer
UNDER CONSTRUCTION (I WILL EDIT WHILE YOU RECIEVE THE ANSWERS)
How to Get Answer for Number 9:
3+5n = 1+8n+2
5n+3=(8n)+(1+2)(Combine Like Terms)
5n+3=8n+3
Step 2: Subtract 8n from both sides.
5n+3−8n= 8n+3−8n
−3n+3=3
−3n+3−3=3−3
−3n=0
Answer: n = 0
[tex]\frac{-3n}{-3} =\frac{0}{-3}[/tex]
10.
5x + 12 − 4x = 4x + 6 − 4x
x + 12 = 6
x + 12 − 12 = 6 − 12
Answer: x = −6
11. Answer is also x = 0
(More answers will come as edited)
True or False? In a two-column proof, the left column states your reasons.
False becuase wat you picked is definitley wrong
Which area is greatest?
a. b=4, h=3.5
b. b=0.8, h=20
c. b=6, h=2.25
d. b=10, h=1.4
the answer is b because to find the area of something you have to do Base(b) multiplied by the Height(h) and the area of B was 16
A: 14
B: 16
C: 13.5
D: 14
Answer Is Option(b.) :-To find the greatest area among the given rectangles, calculate the area of each rectangle by multiplying the base by height. The greatest area is of rectangle b.
Explanation:The subject matter of this question involves finding the area of rectangles. In mathematics, the area of a rectangle is calculated by multiplying its base (b) by its height (h), represented as A = b x h. In this question, you are given four different rectangles (a, b, c, and d) with varying base and height values. You need to calculate the area for each and determine which one is the greatest:
For rectangle a, the area is b x h = 4 x 3.5 = 14 For rectangle b, the area is b x h = 0.8 x 20 = 16 For rectangle c, the area is b x h = 6 x 2.25 = 13.5 For rectangle d, the area is b x h = 10 x 1.4 = 14
After calculations, you can see that rectangle b has the greatest area.
Learn more about Area Calculation here:https://brainly.com/question/32024069
#SPJ2
on Saturday nikki and tyler walked to the local farmers market nikki bout 8 apples for $6 dollars and tyler brought 3 fewer apples than nikki how much did tyler spend on apples
On Saturday Nikki and Tyler walked to the local farmers market Nikki bought 8 apples for $6 dollars and Tyler brought 3 fewer apples than Nikki. How much did Tyler spend on apples?
Tyler brought 8 apples - 3 apples = 5 apples.
To calculate the price of 5 apples we have to establish a proportion :
If 8 apples cost $6
Then 5 apples will cost $X
X = 5apples * $6/8apples = $3.75
Answer : Tyler spent on apples $3.75
Hope this helps!
[tex]\textit{\textbf{Spymore}}[/tex]