Answer:
Step-by-step explanation:
Number series : 9, 14, 19, 24
First term = a1 = 9
common difference = a2 - a1 = 14 - 9=5
Find the nth term:
an = a1 + + (n - 1)d
an = 9+ (n - 1)(5)
an = 9+5n - 5
an = 4 + 5n
Find the 10th term:
an = 4 + 5n
a10 = 4 + 5(10)
a10 = 4 + 50
a10 = 54
Find the 50th term:
an = 4 + 5n
a50 = 4 + 5(50)
a50 = 254
Find the difference between the 10th and
50th term:
Difference = 254 - 54 = 200
Answer: The difference is 200
Given the data from the question, the difference between the 10th term and the 50th term is 200
What is an arithmetic sequence?This is a type of sequence which have common difference between each term. It is represent mathematically as:
Tₙ = a + (n – 1)d
Where
Tₙ is the nth terma is the first term n is the number of termsd is the common difference How to determine the 10th termSequence: 9,14,19, 24First term (a) = 9Common difference = 14 – 19 = 5Number of terms (n) = 1010th term (T₁₀) =?Tₙ = a + (n – 1)d
T₁₀ = 9 + (10 – 1)5
T₁₀ = 9 + (9)5
T₁₀ = 9 + 45
T₁₀ = 54
How to determine the 50th termSequence: 9,14,19, 24First term (a) = 9Common difference = 14 – 19 = 5Number of terms (n) = 5050th term (T₅₀) =?Tₙ = a + (n – 1)d
T₅₀ = 9 + (50 – 1)5
T₅₀ = 9 + (49)5
T₅₀ = 9 + 245
T₅₀ = 254
How to determine the difference 50th term (T₅₀) = 25410th term (T₁₀) = 54Difference =?Difference = T₅₀ – T₁₀
Difference = 254 – 54
Difference = 200
Learn more about arithmetic sequence:
https://brainly.com/question/16130064
a triangle is equal in area to a rectangle which measures 10 cm by 9 cm if the base of the triangle is 12 cm long find its altitude
Amal used the tabular method to show her work dividing –2x3 + 11x2 – 23x + 20 by x2 – 3x + 4.
Amal’s Work:
Amal’s answer:
Which statement about Amal’s work is true?
Amal’s work is correct.
Amal’s work is incorrect the wrong divisor is on the right side of the division table.
Amal’s work is incorrect because it includes a positive two instead of negative two in the answer.
Amal’s work is incorrect because the like terms in the division table do not simplify to the original polynomial.
Answer:
idrk math but this asked me to give an answer so there lol
Miyoko is 13 years old and her father is 53 years old. After how many years will her
father be two times as old as Miyoko?
Answer:
Miyoko is 40 years younger than her father and Miyoko's father is 40 years older than Miyoko
Step-by-step explanation:
53-13=
40
_________ blank means that, everything else being equal, each time one takes the drug one increases slightly the probability that he or she will take it again.
Answer:
Reinforcement
The sum of Kyra's and Caleb's ages is 37. Caleb's age is equal to twice the quantity of Kyra's age decreased by 4. Let k represent Kyra's age.
Complete each expression to represent the situation.
Kyra's age: , 1 of 3.
Select Choice
years
Caleb's age: , 2 of 3.
Select Choice
(k − , 3 of 3.
Select Choice
) years
Part B
Add the two expressions and set this sum equal to 37 to model the situation with an equation. Solve for k. How old is Kyra?
Use the Associative Property to find the value of the variable.
(8 x 15) x s = 8 x (15 x 11)
Answer:
11
Step-by-step explanation:
8 times 15 is 120 then you multiple it to s which is 120s then you multiple 15 and 11 then 8 which is 1320 and then you divide 1320 with 120 then you get 11 as your answer
Answer:
11
Step-by-step explanation:
There are 18 students on the math team of these 5 are boys give the ratio of boys to girls on the math team in simplest form
Answer:
The answer is 5/13 or 5:13
Step-by-step explanation:
There are 18 students in total. And among them there are 5 boys. You would do
18-5=13
5 boys
13 girls
Mark Brainliest Please :)
Step-by-step explanation:
First subtract the number of students(18) to the number of boys(5) 18-5=13Then you can your answer in a ratio form of boy to girls the number of 5:13Sorry if its incorrect
You are building a dog house and need a supporting block of wood for the roof. Your
boss went on a errand and took your measuring tape. Using the Pythagorean theorem
determine the length needed. If necessary, express your answer in its simplest radical
form.
Answer:
x = 8[tex]\sqrt{3}[/tex] in
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
x² + 22² = 26²
x² + 484 = 676 ( subtract 484 from both sides )
x² = 192 ( take square root of both sides )
x = [tex]\sqrt{192}[/tex] = [tex]\sqrt{64(3)}[/tex] = [tex]\sqrt{64}[/tex] × [tex]\sqrt{3}[/tex] = 8[tex]\sqrt{3}[/tex] in
HELP ME PLEASEEE!!!! Correct answer gets a special surprise!
Answer:
EFD is your answer!
Step-by-step explanation:
EFA alone is not quite 90 but if you put DEF together you get 90 degrees just like the other sides!
Have a good day!
What is the smallest number you can make out of 1 8 4 6
Answer: 1468
Step-by-step explanation:
smallest to biggest makes the smallest number
thousands place are worth more than hundreds etc.
A city’s annual rainfall totals are normally distributed, and the probability that the city gets more than 43.2 inches of rain in a year is given by P (z greater-than-or-equal-to 1.5) = 0.0668. If the standard deviation of the city’s yearly rainfall totals is 1.8 inches, what is the city’s mean annual rainfall?
40.5 inches
41.4 inches
45.0 inches
45.9 inches
Answer: So the answer wont be C or D because it doesn't get over 43.2 inches of water so if you do 43.2 -- 1.8 it will equal 41.4 inches
MARK ME BRAINLIEST!!!!!!!!!!!!!!!
The city's mean annual rainfall is 40.5 inches, option A is correct.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
We know that P(z ≥ 1.5) = 0.0668
From the standard normal distribution table, we can find that the z-score corresponding to a right-tailed probability of 0.0668 is approximately 1.5. Therefore, we have:
z = 1.5
We can use the formula for the z-score:
z = (x - μ) / σ
where x is the observed value, μ is the mean, and σ is the standard deviation.
Substituting the given values, we get:
1.5 = (43.2 - μ) / 1.8
Solving for μ, we get:
μ = 43.2 - 1.8 × 1.5 = 40.5
Therefore, the city's mean annual rainfall is 40.5 inches.
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ5
i si
what is w- z expressed in polar form?
Given wuv5c() + (.) and : ==(--(?) + ()
=(cos1 - +(cosin
o vz(cos() + i sin (4)
o v7(com () + ()
ovi (95) + ()
o r2(com () + i sin (7)
COS
i sin
ST
COS
+ i sin
77
o
+
Answer:
[tex]w-z=\sqrt{2}\biggr(cos(\frac{3\pi}{4})+isin(\frac{3\pi}{4})\biggr)[/tex]
Step-by-step explanation:
Convert from polar to rectangular
[tex]w=\sqrt{2}(cos(\frac{\pi}{4})+isin(\frac{\pi}{4}))\\\\w=\sqrt{2}(\frac{\sqrt{2}}{2}+\frac{\sqrt{2}}{2}i)\\ \\w=1+i[/tex]
[tex]z=2(cos(\frac{\pi}{2})+isin(\frac{\pi}{2}))\\ \\z=2(0+i)\\\\z=2i[/tex]
Subtract the complex numbers
[tex]w-z=(1+i)-2i=1+i-2i=1-i[/tex]
Convert from rectangular (x,y) to polar (r,θ)
[tex]r=\sqrt{x^2+y^2}\\r=\sqrt{1^2+(-1)^2}\\r=\sqrt{1+1}\\r=\sqrt{2}\\\\\theta=tan^{-1}(\frac{y}{x})\\ \theta=tan^{-1}(\frac{-1}{1})\\ \theta=tan^{-1}(-1)\\\theta=\frac{3\pi}{4}\\ \\w-z=\sqrt{2}\biggr(cos(\frac{3\pi}{4})+isin(\frac{3\pi}{4})\biggr)[/tex]
Sector Area Lvl 1: In circle F with m
Answer:
75.01 sq units
Step-by-step explanation:
Here,
[tex]\theta=m\angle EFG=86\degree[/tex]
[tex]r=EF=10\: units [/tex]
[tex]Area\: of \:sector= \frac{ \theta}{360 \degree} \times \pi \: {r}^{2} \\ \\ = \frac{ 86 \degree}{360 \degree} \times 3.14\: {(10)}^{2} \\ \\ = \frac{86 \times 314}{360} \\ \\ = 75.01 \: {units}^{2} [/tex]
Let's go shopping! Jack spent $64 less than 4 times what Annie spent. Jack spent $100. . Write and solve an equation to find how much Annie spent. Annie spent
Step-by-step explanation:
Substitute X for the amount Annie spent
4x-$64 = 100
4x = $164
x = $164/4
x = $41
Scale factor of S to T is 4:1 FIND Y
Which number, when placed in the blank, makes the inequality FALSE? _____ > 8
Hi!
I can help you with joy!
Recall that the sign ">" means "greater than"
So, we need to find a number that would make the inequality false.
Is it 9? Nope, 9 is greater than 8, so 9 would make the inequality true.
So, we need to find a number less than 8.
Is it 7? Yes, 7 is less than 8, so 7 would make the inequality false.
7>8 (False)
Hope it helps!
Enjoy your day!
[tex]\bf{GracefulGirl[/tex]
Answer:
Anything under 8.
Step-by-step explanation:
Anything under 8, (7, 6, 5, 4, etc.) would make the inequality false. "Inequality" means difference in size, degree, circumstances, etc.; lack of equality. ">" means greater than, so, to make the equation false, insert something less than 8.
The total score in a football game was 31 points.
The winning team scored 19 points more than the losing team.
How many points did the winning team score?
Answer:
25
Step-by-step explanation:
First we need to create an equation. We’ll say the losing team scored x points. If the winning team scored 19 more, they would have x + 19 points. We know the total is 31 points, so we end up with x + x + 19 = 31, or 2x + 19 = 31. Subtract 19 from both sides to get 2x = 12. Divide both sides by 2, and get x = 6. To find out how much the winning team scored, which we know is x + 19, put 6 in for x and get 25.
one gram of sand approximately weighs 7x10^-5g.
how much grains of sand are there in 6300kg of sand?
give your answer in standard form.
Answer:
6.3 x 106 ÷ 7 x 10-5 = 0.9 x 1011 or 9 x 1010
Step-by-step explanation:
There are 138 paperclips in the jar. Ashley adds 157 more paperclips to the jar. Estimate how many paperclips are now in the jar.
Answer:
295
Step-by-step explanation:
138+157=295
Answer:
There are 300 paperclips now in the jar.
Step-by-step explanation:
138 + 157 = 295. If you have to estimate, 5 rounds up so you estimate it up to 200.
There are 300 paperclips now in the jar.
If it does not want you to round, answer 295.
The point D(4,
–
6) is rotated 180° clockwise around the origin. What are the coordinates of the resulting point, D'?
Answer:
(-4,-6)
Step-by-step explanation:
If your point D were to start at (4,6), the first 90° clockwise rotation would have the point land on (4,-6), the second would have point D land on (-4,-6). A faster way to do this without making 2 90° clockwise rotations, is you flip it diagonally across the center point, if the center point is 0, you would flip both signs (positive would become negative and the other way around).
The rotation of point about 180 degree is D(4, 6)----> D'(4, -6).
What is Transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
We have,
The points D(4, 6).
We know the rule for 180 degree rotation is
(x, y) ----> (x, -y).
So, the rotation of point about 180 degree is
D(4, 6)----> D'(4, -6).
Learn more about Transformation here:
https://brainly.com/question/13801312
#SPJ2
20 points
PLS Help ;0
What is the the fraction 1 over 500 as a decimal?
Answer:
What is 1/500 as a decimal? To write 1/500 as a decimal you have to divide numerator by the denominator of the fraction. So the answer is 0.002
Step-by-step explanation:
Im smart lol
Answer:
0.002
Step-by-step explanation:
I hope this helps!!!
Brainliest?
Write the expression in descending order of y: y^3-y+6-7y^2
Answer:
Step-by-step explanation:
hey can someone help this is due today
Answer:
Step-by-step explanation:
rectangle
parallelogram
Quadrilateral
Using the slope formula, find the slope of the line through the points (0,0)and(4,12)
Answer:
M= 3
Step-by-step explanation:
m= 12/4 = 3
Since the other points are 0
Y=x+16
X^2+y^2=128
Find the intersection of the line and the circle
Answer:
(-8, 8)
Step-by-step explanation:
Plug in the y from the top equation into the y of the bottom equation
x² + (x + 16)² = 128
x² + x² + 32x + 256 = 128
Subtract 128 from both sides to make it equal to zero
2x² + 32x + 256 = 128
- 128 - 128
2x² + 32x + 128 = 0
Divide both sides by 2
(2x² + 32x + 128)2 = 0/2
x² + 16x + 64 = 0
Factor the equation
(x + 8)(x + 8) = 0
We see that x will have to be -8 for it to equal zero
so x = -8
Plug the new x into one of the original equations; let's use the top one
y = -8 + 16
y = 8
Euclid Street is parallel to Lambert Street. City Hall is
located between the streets. From City Hall, a straight
road leads to Euclid Street, intersecting it at a 51°
angle. Another straight road leads to Lambert Street,
intersecting it at a 37° angle. Find X. EXPLAIN and
show your method.
Answer:
88
Step-by-step explanation:
Imagine a line through City Hall parallel to the given streets. The angle between that and the path to Euclid Street is 51°, congruent with the alternate interior angle marked 51°.
The angle between our imaginary line and the path to Lambert Street is 37°, congruent with the alternate interior angle marked 37°.
The value of x° is the sum of those two angles:
x° = 51° +37°
x = 88
__
Alternate solution
If you extend the path to Euclid Street until it intersects Lambert Street, the alternate interior angle theorem tells you the angle it makes with Lambert Street is 51°. The angle x° is an external angle to the triangle that now has 51° and 37° as remote interior angles. As such, x is the sum of 51 and 37:
x = 51 +37 = 88
What is the ratio of a to b if 2a=4c & 6c=5b
Answer:
6a:10b
Step-by-step explanation:
Make both C's equal eachother which we could make 12
4x3=12 and 6x2=12
so we will have to do the same for the other numbers so when 4x3=12 then 2x3=6 and then do the same for 5b where 6x2=12 and 5x2=10
this would make the ratio 6a:12c:10b which would then make the ratio 6a:10b
round 976,00 to the nearest 100
Determine the quadrant and the coordinates of the given points.
Give the answers of Point A-J
A(-4,1)
B(1,-3)
C(0,2)
D(5,0)
F(-4,-5)
G(0,-4)
H(2,4)
Answer:
Point A
In quadrant 2 points : (-4,1)point B
In quadrant 4Points : (1,-3)Point C
In quadrant 1Point : (0,2)Point D
In quadrant 1Point : (5,0)Point F
In quadrant 3Points: (-4,-5)Point G
In quadrant 3 Points: (0,5)Point H
In quadrant 1Point: (2,4)Point J
In quadrant 4points : (5,-2)Your Welcome~ :)
(Couldn't see the Point E)