a) The first 4 terms of the sequence n + 5 are 6, 7, 8, and 9. The 10th term is 15.
b) The first 4 terms of the sequence 2n - 1 are 1, 3, 5, and 7. The 10th term is 19.
a) n + 5
The given sequence is n + 5. We can find the first 4 terms by substituting the values of n from 1 to 4.
Then we can find the 10th term by substituting n = 10.
1st term = n + 5 = 1 + 5 = 6
2nd term = n + 5 = 2 + 5 = 7
3rd term = n + 5 = 3 + 5 = 8
4th term = n + 5 = 4 + 5 = 9
10th term = n + 5 = 10 + 5 = 15.
So, the first 4 terms of the sequence n + 5 are 6, 7, 8, and 9. The 10th term is 15.
b) 2n - 1.
The given sequence is 2n - 1. We can find the first 4 terms by substituting the values of n from 1 to 4. T
hen we can find the 10th term by substituting n = 10.
1st term = 2n - 1 = 2(1) - 1 = 1
2nd term = 2n - 1 = 2(2) - 1 = 3
3rd term = 2n - 1 = 2(3) - 1 = 5
4th term = 2n - 1 = 2(4) - 1 = 7
10th term = 2n - 1 = 2(10) - 1 = 19.
So, the first 4 terms of the sequence 2n - 1 are 1, 3, 5, and 7. The 10th term is 19.
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At top cruising speed, a mako shark can swim 4 kilometers in 1/10 hour. A blue whale can swim 5 kilometers in 1/4 an hour which animal swims faster at a top cruising speed? How much faster? Show your work.
Answer: Mako shark
Step-by-step explanation:
We will calculate the speed of the sharks to know which is faster.
A mako shark can swim 4 kilometers in 1/10 hour.
Speed = Distance/Time
= 4/(1/10)
= 40km/hour
A blue whale can swim 5 kilometers in 1/4 an hour.
This shows that the Mako shark is faster as it swims at rate of 40km/hour and the blue whale swims at 5km/hour. It's faster by 35km.
= 40km - 5km
= 35km
Answer:
this was an amazing answer
Step-by-step explanation:
help
now please
ASAP
To find the answer, you must first turn the fractions into decimals. 4 ÷ 5 = 0.8 ; 1 ÷ 2 = 0.5 ; 1 ÷ 10 = 0.1. Then you must subtract 0.5 from 0.8. Then add 0.1 to 0.3 .
N = 2^p x 5^q x 7^r and 500 = 2^2 x 5^3.
The HCF of N and 500 is 2^2 x 5^2.
The LCM of N and 500 is 2^3 x 5^3 x 7.
Find p, q and r
Answer:
p= 2, q = 3and r=1
Step-by-step explanation:
I think this is the answer
hope helps!!!Megan and her sister are planning their
16th birthday party and want a band to
come perform. The band charges an $45
deposit and $12.50 per hour they are at the
party. Write the equation that best
represents the relationship for y, the total
amount spent at the party, and x the
number of hours the band performed.
Answer: y = 12.50x + 45
Step-by-step explanation:
if x is the number of hours and you pay $12.50 per hour then we can come up the expression 12.50x
You will be charge $45 as an initial fee so it will be 12.50x + 45 and that has to equal the total cost which is y.
y = 12.50x + 45
Marcel earns a salary of $30,000 per year. What is his monthly salary?
Answer:
$2,500
Step-by-step explanation:
divide 30,000 by 12 since there are 12 months in a year.
30000/12=2500
4. a) A load of 1000N can be lifted by applying an effort of
250N. If the load arm is 25cm, calculate the effort arm.
[2.0]
Step-by-step explanation:
load=1000N
effort=250N
load arm=25cm
effort arm=?
Now,
E×E.D=L×L.D
250×E.D=1000×25
E.D=1000×25÷250
E.D=100cm
therefore,effort arm is 100cm.
20000000000000x 3000000000
Answer:
6e+22
Step-by-step explanation:
I thinkkkk??? maybeee
Answer:
6e+22
Step-by-step explanation:
Hope this helps! Sorry if it's wrong.
brent works at a local pet store when he works 5 hours he earns 25 when he works 10 hours he earns 50 what is the rate per hour
9+3x-5x=4x-3x please solve with multi step variable on both sides
Answer:
x = 3
Step-by-step explanation:
Step 1: Write equation
9 + 3x - 5x = 4x - 3x
Step 2: Solve for x
Combine like terms: 9 - 2x = xAdd 2x to both sides: 9 = 3xDivide both sides by 3: x = 3Step 3: Check
Plug in x to verify it's a solution.
9 + 3(3) - 5(3) = 4(3) - 3(3)
9 + 9 - 15 = 12 - 9
18 - 15 = 3
3 = 3
Find the supplement of a 15° angle.
Answer:
165
Step-by-step explanation:
165+15=180
The weights of five grapefruits are 7.47 ounces, 7.23 ounces, 6.46 ounces, 7.48 ounces, and 6.81 ounces. using the clustering estimation technique, what is the approximate total weight of the grapefruits?
Answer:
35.45
Step-by-step explanation:
Answer:
by using clustering technique answer is 35 or B
Step-by-step explanation:
Edge 2020
PLEASE HELP
Explain how you can use SSS, SAS, ASA, OR AAS with the definition of congruence to prove the statement true
Answer:
D, AAS.
Step-by-step explanation:
So basically the a's and s' mean angle and side. this means that if there is a line on both of the triangles on one side this means that those sides of the triangle are congruent. this is the same case with the angles. if you were to have one congruent side inbetween two congruent angles, you would use ASA, which stands for angle side angle, to prove that the triangles are congruent. some more examples are:
side, side, angle =SSA.
angle, angle side = AAS. (the problem in question)
hope this helps :)
The answer is option C)
What is the AAS congruence rule?If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the two triangles are congruent. This is the AAS congruence rule.
Given here in ΔVTY and ΔWYX
VY = WX , ∠VYT = ∠WXY and ∠VTY = ∠WYX
Therefore, by AAS congruence rule , we get ΔVTY≅ ΔWYX
Accordingly, by the property of congruence of triangles we get
TV = YW
Hence, option C) ΔVTY≅ ΔWYX by AAS, so TV = YW by def of ≅
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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each equation to the value of a that makes the equation true.
Answer:
1, 4, 3, 2Step-by-step explanation:
2a + 3(a + 1) = 82a + 3a + 3 = 85a = 5a = 1-----------------------
3a - 2a - 4 = 0a - 4 = 0a = 4-----------------------
6(2a - a + 1) = 246(a + 1) = 24a + 1 = 4a = 3-----------------------
4 + 3(a + 2) = 164 + 3a + 6 = 163a + 10 = 163a = 6a = 2[tex] \LARGE{ \underline{ \blue{ \rm{Required \: answer:}}}}[/tex]
What to do?
We have to solve the equations and find the out the value of a in each case. Accordingly we have to drag the value of the equation.
1) 2a + 3(a + 1) = 8
⇒ 2a + 3a + 3 = 8
⇒ 5a + 3 = 8
⇒ 5a = 5
⇒ a = 5/5 = 1
Drag the tile with number 1 on the top.
2) 3a - 2a - 4 = 0
⇒ a - 4 = 0
⇒ a = 4
Drag the tile with number 4 on the top.
3) 6(2a - a + 1)= 24
⇒ 2a - a + 1 = 4
⇒ a + 1 = 4
⇒ a = 3
Drag the tile with number 3 on the top.
4) 4 + 3(a + 2) = 16
⇒ 3(a + 2) = 12
⇒ a + 2 = 12/3 = 4
⇒ a = 2
Drag the tile with number 2 on the top.
Solve x - 8-4. Graph the solution please!
Answer:
open circle at 4 on the graph, going to the right!
hope this helps!
Find the area
b= 132 in
h= 7ft
Answer:
If a rectangle
77ft
Step-by-step explanation:
Answer:17in
Step-by-step explanation:
Which decimal is equivalent to 3/4 ?
a) Calculate the size of angle x in the diagram
below.
b) Work out the bearing of A from B.
The angle x in the diagram is 98 degrees.
How to find the angles in parallel lines?When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angle, alternate exterior angles, vertically opposite angles, same side interior angles etc.
Therefore, let's find the angle of x using the angle relationships as follows:
The size of the angle x can be found as follows:
82 + x = 180(same side interior angles)
Same side interior angles are supplementary.
Hence,
82 + x = 180
x = 180 - 82
x = 98 degrees
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simplify 5^3/5^7 leaving your answer in index form
Step-by-step explanation:
[tex] \frac{ {5}^{3} }{ {5}^{7} } \\ \\ = {5}^{3 - 7} \\ \\ = {5}^{ - 4} \\ \\ = \frac{1}{ {5}^{4} } [/tex]
pls help me anyone with this math
Step-by-step explanation:
Hey there!
1.)
Looking in figure;
5x = 100° {vertically opposite angle}
x = 100°/5
Therefore, X = 20°.
2.)
Looking through figure;
3x + 39° = 90°{The symbol in figure is 90°}
3x = 90°-39°
3x = 51°
x = 51°/3
x = 17°.
Therefore, X = 17°.
Hope it helps...
9514 1404 393
Answer:
The angles are congruent, not supplementary. x = 20The angles are complementary, not supplementary. x = 17Step-by-step explanation:
1. The equation should be 5x = 100, because the marked angles are congruent.
Then, dividing by 5 gives ...
x = 100/5
x = 20
__
2. The angles have a sum of 90°, not 180°. The correct equation is ...
3x +39 = 90
x + 13 = 30 . . . . divide by 3*
x = 17 . . . . . . . . subtract 13
_____
* Sometimes when the terms of the equation have the coefficient of x as a common factor, I like to divide by that first. It makes all of the numbers smaller, so more comfortable for me to deal with. The usual method would be to subtract 39 before doing the division. You get the same answer either way.
PLEASE SOLVE THEM ALL THEY ARE DUE IN 30 MINUTES
33/6m - 3/2m - 6 = 6
X - 4 = x/4 + 1/8
-2 + 3/4x = 5x - 1/3
Answer:
m=3
x=11/2
x=1/2,x=-3/10
Hey if you wanna see step please msg me
try to solve by your self next time!!!!!!!
Marsha’s scores on seven tests were: 82, 78, 77, 93, 85, 91, and 86. What does she need to score on her next test to have an 86 average?
Answer:
The score of her next test is 96
Step-by-step explanation:
If there is a set of data with x terms, then the average is the sum of their values divided by x
Average = sum of values of the x terms ÷ x
We will use this rule to solve the question
∵ Marsha's scores on 7 test were 82, 78, 77, 93, 85, 91, 86
→ Find her total scores on the seven tests
∴ Her total scores = 82 + 78 + 77 + 93 + 85 + 91 + 86 = 592
∴ Her total scores on the 7 tests is 592
∵ Her average score on the 8 test is 86
→ Use the rule of the average to find her total score in the 8 test
∵ 86 = total scores ÷ 8
→ Multiply both sides by 8
∴ 86 × 8 = total scores × 8 ÷ 8
∴ 688 = total scores
∴ Her total scores on the 8 tests is 688
∵ Her total scores on the 7 test = 592
∵ Her total scores on the 8 test = 688
→ The difference between both totals is the score of her next test
∴ The score of her next test = 688 - 592 = 96
∴ The score of her next test is 96
If A = {2, 5} and B = {1, 2, 3, 4, 5}, find A ∪ B.
1) {2, 5}
2) {}
3) {1, 2, 3, 4, 5}
4) {1, 3, 4}
Answer:
{1,2,3,4,5}
Step-by-step explanation:
union is the collection of all numbers from set A and set B.in order
6 fluid ounces per day. Express this rate of flow in cubic meters per year.
Answer:
0.06 cubic meters per year
Step-by-step explanation:
(-2/5) / (-1 1/4)
HELP HELP HELP HELP
PLEASE HELP
What is the slope of a line that is perpendicular to the graph of y =1/2x +9?
Is this relation a function?
yes
no
Answer:
no
Step-by-step explanation:
2 points have the same "x"
Simplify by dividing negative three over eight divided by five over nine
Kent mixed oil and gas for his lawn mower. He mixed 8 fluid ounces of oil for every 1 gallon of gas. Which of the following statements must be true?
Select each true statement.
A
For every 2 gallons of gas, he used 16 fluid ounces of oil.
B
For every 3 gallons of gas, he used 3/8 fluid ounces of oil
C
For every 5 gallons of gas he used 40 fluid ounces
D
For every fluid ounce of oil, he used 40 fluid ounces of oil
E
For every 40 fluid ounces of oil he used 10 gallons of gas
F
For every 10 fluid ounces of oil he he used 1 1/4 of gas
Answer:
A and C
Step-by-step explanation:
they both have the same ratio
Answer :A and C
Step-by-step explanation:
Item 11 1/1 1/1 Math (Numeric): Erin has a total of 18 coins worth $2.05. All of the coins are either nickels, dimes, or quarters. If the number of nickels is twice the number of quarters, how many of each kind of coin does she have? Nickels: 1 10 ✓ Dimes: 2 3 Quarters: 3 Item 9 1/1 Math (Numeric): Convert 4/116 to rectangular coordinates. 1 -1.75 +2 3.60 ✔ 1/1
In the first item, Erin has a total of 18 coins with a combined value of $2.05. The coins consist of nickels, dimes, and quarters. It is stated that the number of nickels is twice the number of quarters, and we are asked to determine the quantities of each coin.
Let's assign variables to represent the number of each coin. Let N be the number of nickels, D be the number of dimes, and Q be the number of quarters. We have three equations based on the given information:
N + D + Q = 18 (the total number of coins is 18)
5N + 10D + 25Q = 205 (the total value of the coins is $2.05)
N = 2Q (the number of nickels is twice the number of quarters)
To solve this system of equations, we can substitute N = 2Q into the first two equations. Substituting N with 2Q in equation 1 gives us:
2Q + D + Q = 18
3Q + D = 18
Substituting N with 2Q in equation 2 gives us:
5(2Q) + 10D + 25Q = 205
10Q + 10D + 25Q = 205
35Q + 10D = 205
Now we have a system of two equations with two variables. By solving these equations simultaneously, we can determine the values of Q, D, and N.
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May someone please help me ASAP
Answer:
84+n=342
Step-by-step explanation:
you would subtract 84 from 342 to find the width since it is perimeter.
