Answer:
[tex]\boxed {a_{24} = 145}[/tex]
Step-by-step explanation:
According to the following pattern sequence ([tex]7, 13, 19, 25[/tex] ), it is Arithmetic Sequence, because every number is added by [tex]6[/tex]. So, to find the 24th term, you need to use the Arithmetic Sequence Formula and solve to find the 24th term:
[tex]a_{n} = a_{1} + (n - 1) d[/tex]
[tex]a_{n}[/tex]: nth term in the sequence
[tex]a_{1}[/tex]: 1st term
[tex]n[/tex]: term position
[tex]d[/tex]: Common difference
-Apply to the formula:
[tex]a_{24} = 7 + 6 (24 - 1)[/tex]
[tex]a_{n} = a_{24}[/tex]
[tex]a_{1} = 7[/tex]
[tex]n = 24[/tex]
[tex]d = 6[/tex]
-Solve:
[tex]a_{24} = 7 + 6 (24 - 1)[/tex]
[tex]a_{24} = 7 + 6 (23)[/tex]
[tex]a_{24} = 7 + 138[/tex]
[tex]\boxed {a_{24} = 145}[/tex]
Therefore, the 24th term is [tex]145[/tex].
The 24th term of the sequence is 145
7, 13 , 19, 25
The sequence is an arithmetic progression. Therefore, let's use arithmetic progression formula for nth term to find the 24th term.
Arithmetic progression:aₙ = a + (n - 1)dwhere
a = first term
d = common difference
n = number of term
Therefore,
d = 13 - 7 = 6
a = 7
a₂₄ = 7 + (24 - 1)6
a₂₄ = 7 + (23)6
a₂₄ = 7 + 138
a₂₄ = 145
Therefore, the 24th term of the sequence is 145
learn more on sequence here: https://brainly.com/question/14092689
-1 1/4 a = 1 3/4 (in fraction)
Answer:
Decimal Form:
-1.4
Mixed Number Form:
-1 2/5
Extract Form:
-7/5
Step-by-step explanation:
The owner of a health club decides to reduce the $35 membership fee by $5. What is the approximate percent decrease in the fee?
A. The percent decrease is approximately 0.14%.
B. The percent decrease is approximately 0.85%.
C. The percent decrease is approximately 14%.
D. The percent decrease is approximately 85%
I’m dumb but I need an answer quick (will try to give brainliest) or however you spell it
Answer:
I'm going for A
Step-by-step explanation:
Answer:
Answer is gonna be c
Step-by-step explanation:
(1 point)
15. Column 1 would be on the x-axis, and Column 2 would be on the y-axis. Which best lists the
titles of each column?
Column 1 should be titled “Time," and Column 2 should be titled "Velocity.”
Column 1 should be titled "Velocity," and Column 2 should be titled “Time."
Column 1 should be titled "Time," and Column 2 should be titled "Acceleration."
Column 1 should be titled "Acceleration," and Column 2 should be titled “Time."
93
Answer:
Column 1 should be titled “Time,” and Column 2 should be titled “Velocity.”
Step-by-step explanation:
if (a+1/2)=4find the value of a^3+1/a^3
Answer:
Step-by-step explanation:
[tex]a + \frac{1}{2}=4\\\\[/tex]
[tex]a = 4 -\frac{1}{2}\\\\a =\frac{4*2}{1*2}-\frac{1}{2}\\\\a =\frac{8}{2}-\frac{1}{2}\\\\a=\frac{7}{2}[/tex]
[tex]\frac{1}{a}=\frac{1}{\frac{7}{2}}\\\\ = 1*\frac{2}{7}\\\\ = \frac{2}{7}[/tex]
[tex]a^{3}+\frac{1}{a^{3}}=(\frac{7}{2})^{3}+(\frac{2}{7})^{3}[/tex]
[tex]= \frac{343}{8}+\frac{8}{343}\\\\=\frac{343*343}{8*343}+\frac{8*8}{343*8}\\\\=\frac{117649}{2744}+\frac{64}{2744}\\\\=\frac{117649+64}{2744}\\\\=\frac{117713}{2744}\\\\= 42\frac{2465}{2744}[/tex]
yo help plz ill give branliest
Answer:
did you get it ?
Step-by-step explanation:
what is 13 × 2/3 ???
Answer:
Im pretty sure its 8 2/3
Answer: 26/3
Step-by-step explanation: 13/1 times 2/3
Help asap this is a major grade
Answer:
You need to show us the questions. All we see are the choices to choose from...
Step-by-step explanation:
How to factor y^3 +2y^2 + 2y + 1
Answer:
Step-by-step explanation:
P(y) = y³ + 2y² + 2y + 1
P(-1) = (-1)³ + 2*(-1)² + 2*(-1) + 1
= -1 + 2 - 2 + 1
= 0
As, P(-1) = 0, (y + 1) is a factor.
Use synthetic division or remainder theorem.
-1 1 2 2 1
0 -1 -1 -1
1 1 1 0
quotient = y² + y + 1
y³ + 2y² + 2y + 1 = ( y + 1) (y² + y + 1)
PLEASE HELP!! DUE SOON
Enter the ordered pair for the vertices for rx-
axis(qrst).
q= (1,3)
r= (3,-3)
s= (0,-2)
t= (-2,1)
q' = ()
r' = ()
s'= ( )
t' = ()
Pls help I need it really soon
Answer:
q1 (1,-3)
r1 (3,3)
s1 (0,2)
t1 (-2,-1)
Step-by-step explanation:
When a shape is reflected, it must be reflected across a line
The vertices for [tex]\mathbf{rx-axis}[/tex] of qrst are:
[tex]\mathbf{q'(1,-3)}[/tex][tex]\mathbf{ r'(3,3)}[/tex][tex]\mathbf{ s'(0,2)}[/tex][tex]\mathbf{t'(-2,-1)}[/tex]The given parameters are:
[tex]\mathbf{q = (1,3)}[/tex]
[tex]\mathbf{r = (3,-3)}[/tex]
[tex]\mathbf{s = (0,-2)}[/tex]
[tex]\mathbf{s = (-2,1)}[/tex]
The transformation rule is given as:
[tex]\mathbf{rx-axis}[/tex]
The above rule means that the vertices are reflected over the x-axis
The rule of the transformation is:
[tex]\mathbf{(x,y) \to (x,-y)}[/tex]
So, we have:
[tex]\mathbf{q(1,3) \to q'(1,-3)}[/tex]
[tex]\mathbf{r(3,-3) \to r'(3,3)}[/tex]
[tex]\mathbf{s(0,-2) \to s'(0,2)}[/tex]
[tex]\mathbf{t(-2,1) \to t'(-2,-1)}[/tex]
Hence, the vertices for [tex]\mathbf{rx-axis}[/tex] of qrst are:
[tex]\mathbf{q'(1,-3)}[/tex]
[tex]\mathbf{ r'(3,3)}[/tex]
[tex]\mathbf{ s'(0,2)}[/tex]
[tex]\mathbf{t'(-2,-1)}[/tex]
Read more about reflections at:
https://brainly.com/question/938117
Bob gets paid 64 hour heard that is 2/3 Melissa makes how much is Alicia paid per hour
Answer:
64
Step-by-step explanation:
i don’t have a protractor, could someone answer this for me?
Answer:
c
Step-by-step explanation:
Answer:
no protractor needed. It's C. for future reference. Obtuse triangles will always be >90°. if the answer was B the triangle woul look more like a wider right angle. Since this picture looks close to 180° it's safe predict the answer is C
What is the slope of the line represented by the equation – 5x + 2y = 10
Answer:
5/2 or 2.5
Step-by-step explanation:
use the equation y=mx+c
where m=slope=coefficient of x
-5x+2y=10
2y=5x+10
2y/2= 5x/2+ 10/2
y= 5x/2+ 5
Therefore the slope of the line is 5/2 or 2.5
1guys please help I gut an exam soon how to solve this?!
Answer:
477.525cm^2
Step-by-step explanation:
A = pi X 4^2 = 50.265cm^2
Totals to 100.53cm^2
C = pi X 8 = 25.133
Area = 25.133 X 15 = 376.995cm^2
100.53+376.995= 477.525cm^2.
{(5²)} ³×5⁴}÷5⁷ simplify and express the following as exponent
Answer:
The answer is 5³.
Step-by-step explanation:
You have to apply Indices Law :
[tex] {a}^{m} \times {a}^{n} ⇒ {a}^{m + n} [/tex]
[tex] {a}^{m} \div {a}^{n}⇒ {a}^{m - n} [/tex]
[tex] { ({a}^{m} )}^{n} = {a}^{mn} [/tex]
So for this question :
[tex]( {( {5}^{2}) }^{3} \times {5}^{4} ) \div {5}^{7} [/tex]
[tex] = ( {5}^{6} \times {5}^{4} ) \div {5}^{7} [/tex]
[tex] = {5}^{10} \div {5}^{7} [/tex]
[tex] = {5}^{3} [/tex]
Joy makes 6.5 litres of soup, correct to the nearest 0.5 litres.
She serves the soup in 280ml portions, correct to the nearest 10ml.
22 people order this soup.
Does joy definitely have enough soup to serve 22 people?
Show how you decide.
Your final line must be written as,Joy definitely does have enough soup or Joy may not have enough soup.
I tried so hard to answer it but it isn't right so if you give me an answer please explain it so next time I will have a similar type of question I will know how to do it.
This is what i tried
6250:275=22.8 (1 d.p)
Answer:
She can serve up to 22 people
Step-by-step explanation:
Given that the total amount of soup that Joy makes in liters is 6.5L
also that the portions are in ml
280ml to liters we have 280/1000= 0.28L
our aim is to know weather 6.5L divided by 0.28L can be up to 22
let us try it out
6.5/0.28= 23.214
we have 23.
Therefore the 6.5L can serve up to 22 portions of 280ml in 6.5 L of soup
73 in. is how many ft. ???
Randy is thinking of a number. When he adds 7 to the number, multiplies the sum by 3, then subtracts 2, the result is 13. What is the original number?
A. 6
B. -2
C. 2
D. -6
Answer:
B. -2Step-by-step explanation:
let the number be x
=7+x
=3(7+x)
=3(7+x)-2
13=3(7+x)-2
solving for x we have
13=21+3x-2
21+3x-2-13=0
collect like terms we have
21-2-13+3x=0
6+3x=0
6=-3x
x=6/-3
x=-2
The answer is B
B. -2
Helpppppppp meeeeeeeeeeeeee
Answer:
The answer is c
Step-by-step explanation:
Answer:
Solve for each exponent.
3^4 is 81.
3^7 is 2187.
So the fraction is 81/2187.
Now we need to simplify it.
That's 1/27.
C is the correct answer to the problem.
Large reusable bottles cost $4 more than small ones. Eight large bottles cost $24 less than
A small bottle costs $14.
To solve the problem, the equation would be this:
Let s represent a small bottle. Since one large bottle is $4 more than a small one, you would write out (4+s). Then, multiply it by 8 to find one side of the equation, and get 8(4+s). To write out the right side of the equation, you would write out 12s to represent 12 small bottles, and subtract 24 from that to represent that 8 large bottles is $24 less than 12 small ones.
Then, proceed to solve the equation to get the answer of s=14. Because a small bottle is $14, you can check your work by substituting the 14 in replace of s. :
3(3x - 1) + 2(3 - x) = 0
Answer:
-3/7
Step-by-step explanation:
The measure of angle JKL can be represented using the expression 3x + 5.
Answer:
The measure of ∠JKL is 65°
Step-by-step explanation:
Consider the provided diagram.
We need to find the degree measure of ∠JKL.
It is given that ∠JKM=45° and ∠MKL=x°
Also it is given that the measure of angle JKL can be represented using the expression 3x + 5.
Thus ∠JKL=3x+5
From the figure it can be concluded that ∠JKL is equal to the sum of ∠JKM and ∠MKL
This can be written as:
∠JKL = ∠JKM+∠MKL
Substitute the respective values in the above equation.
3x+5 = 45+x
Subtract x and 5 from both the sides.
3x+5-x-5 = 45+x-x-5
2x = 40
x = 20
Thus, the measure of ∠MKL=20°
Substitute the value of x in ∠JKL = 3x+5.
∠JKL = 3(20)+5
∠JKL = 60+5
∠JKL = 65
Hence, the measure of ∠JKL is 65°
write the ratio 3 differnt ways AND give 3 equivalent ratios. five horses to seven dogs
Answer:
5:7
5/7
5 to 7
10:14 --> 10x2=20 14x2=28
20:28 --> 20x2=40 28x2=56
40:56
PLS HELP
Frank received a $4.00 tip from a customer who had a $25.00 bill. Which decimal represents the fraction of the bill Frank received as a tip? 0.04 0.16 0.25 0.625
Answer:
0.16
Step-by-step explanation:
Estimate 4.8 x 4.15.
Answer:
19.92
Step-by-step explanation:
4.8 x 4.15
Answer:
20 is the correct answer.
Step-by-step explanation:
PLEASE ANSWER ASAP!! WILL MARK BRAINLYIST
Find the value of the following expression.
Answer: 25 I believe
Answer:
25
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)^c = a^(bc)
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c)
a^0 = 1 . . . for a≠0
__
[tex](2^8\cdot5^{-5}\cdot19^0)^{-2}\cdot\left(\dfrac{5^{-2}}{2^3}\right)^4\cdot2^{28}\\\\=2^{8(-2)-3(4)+28}\cdot5^{(-5)(-2)+(-2)(4)}=2^{-16-12+28}\cdot5^{10-8}\\\\=2^0\cdot5^2=\boxed{25}[/tex]
Rewrite the expression by factoring out (w+3).
7w2(w+3)-3(w+3)
Answer:
(w + 3) [7w² - 3]
Step-by-step explanation:
Given expression:
7w²(w + 3) - 3(w + 3);
Now rewriting the equation by factoring out (w+ 3);
Solution:
7w²(w + 3) - 3(w + 3);
= (w + 3) [7w² - 3]
The solution is (w + 3) [7w² - 3]
Zoe buys gummy bears that come in 3.53 once bags how many ounces of gummy bears are there win 3 bags?
Answer:
10.59
Step-by-step explanation:
3.53×3
If I was rotating (-5, -1) 90 degrees clockwise, what are the new coordinate points?
Answer:ok
Step-by-step explanation:
7. During the Middle Ages, people often used grains, scruples, and drahms to measure the weights of different medicines. If 120 grains are equivalent to 6 scruples and 6 scruples are equivalent to 2 drahms,
how many drahms are equivalent to 300 grains? Explain your reasoning. If you get stuck, try creating a table.
Answer:
5 drahms.
Step-by-step explanation:
From the question given above, the following data were obtained:
120 grains = 6 scruples
6 scruples = 2 drahms
300 grains (in drahms) =..?
From the above data,
120 grains = 6 scruples
6 scruples = 2 drahms
Therefore,
120 grains = 2 drahms
Thus, we can obtain 300 grains in drahms as follow:
120 grains = 2 drahms
Therefore,
300 grains = 300 grains × 2 drahms /120 grains
300 grains = (300 × 2)/120 drahms
300 grains = 5 drahms
Therefore, 300 grains is equivalent to 5 drahms.