Answer:
[tex]a_{n}[/tex] = 3n + 32
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = 38 - 35 = 41 - 38 = 3
This indicates the sequence is arithmetic with n th term ( explicit formula )
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 35 and d = 3 , then
[tex]a_{n}[/tex] = 35 + 3(n - 1) = 35 + 3n - 3 = 3n + 32
In a classroom, there are 3 more girls than boys and the ratio of girls to boys is 6 to 5.
What equation represents "there are 3 more girls than boys?"
A. G = B + 3
B. B = G + 3
C. 6B = 5G
D. 6G = 5B
Answer:
the answer is d
Step-by-step explanation:
I came to this answer with simple deduction and process of elimination.
If 50 students were surveyed, how many chose
chocolate?
V 20 students
If 80 students were surveyed, how many chose vanilla?
20 students
Answer:
If 50 students were surveyed, how many chose
chocolate?
20 students
If 80 students were surveyed, how many chose vanilla?
20 students
Step-by-step explanation:
what’s the answer? (picture)
I need help with this one and other question that I put
Find the height of the cone. Round your answer to the nearest whole number.
h
8 in.
Volume = 670 in 3
Answer:
3
Step-by-step explanation:
3.34in is ans and after rounding off we can get 3
what is the answer to this
Answer:
im going with c anyone else
Step-by-step explanation:
Will give brainiest to whoever figured this out
Answer:
your answer will be 0.0001042
Step-by-step explanation:
hope it helps
have a wonderful day
D Melissa takes the 10 30 from Christchurch. How long does she wait in Wellington? Hour minutes
Answer:
1:45 hours
Step-by-step explanation:
Given
See attachment for missing part of the question
Required
How long she waits in Wellington
From the question:
She takes the 10 30 from Christchurch
So:
[tex]Christchurch\ Depart = 10\ 30[/tex]
This implies that:
She has to wait until Wellington arrives at 11 15
So:
[tex]Wellington\ Arrives= 11\ 15[/tex]
So, the wait time is:
[tex]Wait\ time = Wellington\ Arrives - Christchurch\ depart[/tex]
[tex]Wait\ time = 11: 15 - 10: 30[/tex]
[tex]Wait\ time = 1:45\ hr[/tex]
Question 5
6 pts
The lengths of the sides of a triangle are given. Determine if the side lengths create a right
triangle.
a) 3, 8, 10
b) 9, 40, 41
c) 12, 20, 16
Answer:
C is correct
Step-by-step explanation: c is correct great job
which term is a perfect square of the root 3x4?
Answer:
4
Step-by-step explanation:
Answer:
9x^8
Step-by-step explanation:
good luck
explain how to write an equivalent expression using the distributive property 2(11+y)
Answer:
Sample Response: To use the distributive property, distribute multiplication by 2 to both terms inside the parentheses. The products are 2(11) and 2(y). The equivalent expression is 22 + 2y
Step-by-step explanation:
you're welcome
5(a+b), if a = -4, b= -2
HELP PLZ
Answer:=−10
Step-by-step explanation:
[tex]{ \rightarrow{ \sf{ \green{ \: \: \: 5(a + b)}}}} \\ \\ { \tt{ \blue{a = - 4}}} \\ { \tt{ \blue{b = - 2}}} \\ \\ { \dashrightarrow{ \sf{ \green{5( - 4 - 2)}}}} \\ \\ { \dashrightarrow{ \sf{ \green{5 \times ( - 6)}}}} \\ \\ { \dashrightarrow{ \sf{ \green{ - 30}}}}[/tex]
Suppose you are asked to find the missing vertex of a rectangle in a coordinate plane. What information will help you determine the missing coordinate?
The information to determine the missing coordinates is given below.
What are coordinates?Coordinates are a pair of integers (Cartesian coordinates), or occasionally a letter and a number, that identify a certain place on a grid, often referred to as a coordinate plane.
Given;
A rectangle is drawn in the coordinate plane.
That means, each vertex has coordinates.
To find the missing vertex of a rectangle in a coordinate plane:
We should have the three known vertices.
Then use the formula,
w = t + v - u for each of the coordinates.
Therefore, the information to determine the missing coordinates is given above.
To learn more about the coordinates;
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help me plssss lsss i really need help today like today today
Answer:
1. Reflection across the x-axis:
1) (-2,-2)
2) (-1,-4)
3) (3,-4)
2. Reflect across the y-acis:
1) (-1,-3)
2) (-2,1)
3) (-4,1)
Brainiest PLZZZ
A population of insects, in thousands, can be molded using the function (t)= 1.75(0.97)x
Question:
A population of insects, in thousands, can be modeled using the function
[tex]p(t) = 1.75(0.97)^t[/tex], where t is time in months. Which statement best
describes the population of insects?
A. The population is decaying at a rate of 3% each month.
B. The population is decaying at a rate of 25% each month.
C. The population is growing at a rate of 75% each month.
D. The population is growing at a rate of 97% each month.
Answer:
A. The population is decaying at a rate of 3% each month.
Step-by-step explanation:
Given
[tex]p(t) = 1.75(0.97)^t[/tex]
Required
True statement about the function
From the options, we can see that we are to answer the question on the basis of decay and growing rates.
An exponential form is:
[tex]y=ab^x[/tex]
Compare to [tex]p(t) = 1.75(0.97)^t[/tex]
[tex]b= 0.97\\[/tex]
If [tex]b > 1[/tex], then [tex]b = 1 + r[/tex] r represents growth rate
else, [tex]b= 1-r[/tex] r represents decay rate
Since b < 0.97:
[tex]0.97= 1-r[/tex]
[tex]r = 1 - 0.97[/tex]
[tex]r = 0.03[/tex]
[tex]r = 3\%[/tex]
[tex]r = 0.03[/tex]
which is written in standard form ? A,B,C, or D
Answer:
c is in standard form
Step-by-step explanation: hoped I helped
is this right plz help
Answer:
yes you are correct :)
Step-by-step explanation:
In a survey, 250 people were asked to choose one card out of five cards labeled 1 to 5. The results are shown in the table. Compare the theoretical probability and experimental probability of choosing a card with the number 4 .
Answer:
the theoretical probability would be 20%, the experimental probability, i would need to see the table for.
good luck, i hope this helps :)
need help ASAP !!!
[tex] \sqrt{8745 \times 8745} [/tex]
Answer:
8745Step-by-step explanation:
Here,
[tex] \sqrt{8745 \times 8745} [/tex]
= 8745 (Ans)
what would my answer be?
what number can go into 42 and 21
Answer:
7
Step-by-step explanation:
Answer:
1,3,7,21 all of those are factors of 42 and 21.
They all can go
Step-by-step explanation:
Hope this helps
2. Find the volume of a rectangular prism with a length of 2.4 ft, a height of 4.5 ft, and a width of 1.3 ft.
Answer:
14.04
Step-by-step explanation: :)
Which graph best represents the equation y = -2x + 5?
Answer:
B) The top right choice.
Step-by-step explanation:
The graph of the equation y = - 2x + 5 is shown in figure.
Option 2 is true.
What is Equation of line?The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The equation is,
⇒ y = - 2x + 5
Now,
Since, The equation is,
⇒ y = - 2x + 5
By comparing of the slope - intercept form of the equation of line,
y = mx + b we get;
⇒ Slope = - 2
And, The y - intercept = 5
So, The graph of the equation is passes through the point (0, 5) with slope - 2.
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An annual pass to an amusement
park costs $87.95 per person. If
the park makes $52,770 from these
sale of passes, which equation can
you use to find the total number of
annual passes purchased?
Answer:
87.95x = 52,770
600 annual passes were purchased
A florist creates 46 floral arrangements every 3 days. How many floral arrangements will the florist create in 3 weeks?
Answer:
322
Step-by-step explanation:
(b) If the median of the following data is 40, write down
the class where the median lies.
Answer:
maximum- median
80-50=30
x^2 - 10x + 24 = 024
Answer:
x=0,10
Step-by-step explanation:
Jasmine had $120,000 last year. This year she has $50,000
What is the percentage difference?
The percentage difference if Jasmine had $120,000 last year and this year she has $50,000 is 41.6%.
What is percentage?As it is clear from the term per cent means measuring anything per hundred. For example, you get marks per 100 marks, so you get the percentage.
Given:
The last year value = $120000,
The new value of this year = $50000,
Calculate the percentage by the following formula,
Percentage difference = The new value of this year / The last year's value ×100
Substitute value
Percentage difference = 50000 / 120000 × 100
Percentage difference = 41.6%
Therefore, the percentage difference if Jasmine had $120,000 last year and this year she has $50,000 is 41.6%.
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30 POINTS
I think i have it right this time
Answer:
your answer is b
Step-by-step explanation:
A person places $127 in an investment account earning an annual rate of 4.2%, compounded continuously. Using the formula V = P e r t V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 16 years.
Answer: $248.68
Step-by-step explanation:
Given
Money compounded according to
[tex]\Rightarrow V=Pe^{rt}\\[/tex]
Here, P=$127
r=4.2%
t=16 years
[tex]\Rightarrow V=127e^{0.042\times 16}\\\\\Rightarrow V=127e^{0.672}=127\times 1.958\\\\\Rightarrow V=\$248.68[/tex]
Value after 16 years is $248.68
Answer: 248.69
Step-by-step explanation:
r= 4.2%
=0.042
r=4.2%=0.042
P= 127
P=127
t=16
t=16
V
=
P
e
r
t
V=Pe
rt
V
=
127
e
0.042
(
16
)
V=127e
0.042(16)
V
=
127
e
0.672
V=127e
0.672
V
=
248.685
≈
248.69
V=248.685≈248.69