Answers
Answer:
[tex]f(n) = 15 + (n + 1)[/tex]
Step-by-step explanation:
Tina earns $15 every week when she mows the lawn.
We would put $15 because she earns $15 every week.
She earns 15 every week, so we would put (n + 1).
Our final answer would be [tex]f(n) = 15 + (n + 1)[/tex]
Answer:
The explicit rule is:
[tex]f(n)=60+15(n-1)[/tex]
After 15 week, Tina will have $270 in her savings account.
Step-by-step explanation:
Let’s write down our sequence so we can see it better.
For the first week (i.e. the first term), Tina has $60.
For the second week (i.e. the second term), Tina has $75.
And for the 3rd, 4th, 5th, and 6th week, Tina has $90, $105, $120, and $135, respectively.
Therefore, we can write the following sequence:
60, 75, 90, 105, 120, 135...
Note that our initial term a is 60.
And our common diffference will be 15.
Let’s find the explicit rule. The standard format for an explicit rule is:
[tex]f(n)=a+d(n-1)[/tex]
Where a is the initial term and d is the common difference.
Let’s substitute 60 for a and 15 for d. Hence, our explicit formula is:
[tex]f(n)=60+15(n-1)[/tex]
So, to find the amount Tina will have in her savings account in 15 weeks, we will substitute 15 for n and evaluate. So:
[tex]f(15)=60+15(15-1)[/tex]
Evaluate:
[tex]\begin{aligned} f(15)&=60+15(14) \\ f(15)&=60+210 \\ f(15)&=270 \end{aligned}[/tex]
Hence, after 15 weeks, Tina would have $270 in her savings account.
Related Questions
A family has two cats named Gordo and Flaco. Gordo weighs 15 pounds and Flaco weighs 8 pounds. A cat’s weight is classified as unhealthy if the weight is located in the top 5% or bottom 5% of all cat weights. The distribution of cat weights is approximately normal with mean 9.5 pounds and standard deviation 1.5 pounds. Which of the following is the best description of Gordo’s and Flaco’s weights?
Answers
Answer:
Gordo's weight = 15 pounds
It is outside the healthy weight range and is in the top 5% of weights of cats.
Gordo's weight makes Gordo unhealthy.
Step-by-step explanation:
μ = mean weight = 9.5 pounds
σ = standard deviation = 1.5 pounds
This is a normal distribution problem
We first calculate the limit of the bottom 5% of weights
Let the z-score for this limit be z'
P(z < z') = 0.05
From the normal distribution table,
z' = -1.645
And the limit for the top 5% which is z" = 1.645.
The weight that corresponds to these scores are then calculated.
Standardized scores are given as
z = (x - μ)/σ
So,
z' = (limit for the bottom 5% - μ)/σ
-1.645 = (limit for the bottom 5% - 9.5)/1.5
limit of the bottom 5% = (-1.645)(1.5) + 9.5 = 7.033 pounds
z" = ( (limit for the top 5% - μ)/σ
1.645 = (limit for the top 5% - 9.5)/1.5
limit of the bottom 5% = (1.645)(1.5) + 9.5 = 11.968 pounds
Therefore the healthy weight range for cats is (7.033 < x < 9.968)
Gordo's weight = 15 pounds
It is outside the healthy weight range and is in the top 5% of weights of cats.
Gordo's weight makes the cat unhealthy.
Flaco's weight = 8 pounds
Flaco's weight lies in the healthy weight range for cats. Hence, Flaco is a healthy cat.
Rewrite without parentheses. -3y^4(6y^3 -7y^2 - 3y)( click/tap on image to see.)
Answers
Answer:
I got -18y^7 + 21y^6 + 9y^5
Step-by-step explanation:
A ceramic sugar bowl weighs 340 grams when empty. It is then filled with sugar. One tablespoon of sugar weighs 12.5 grams. When the sugar bowl is full, it weighs 740 grams. How many tablespoons of sugar can the bowl hold? Show your reasoning.
Answers
A sporting goods store has a sale on soccer balls: if you buy two soccer balls at the regular price, you get a third soccer ball for $1. Coach John bought 24 identical soccer balls during this sale for $136. What is the regular price for one of these soccer balls?
Answers
Answer:
The regular price of the balls is $8
Step-by-step explanation:
The sporting goods store sales promotion is as follows;
The price of the third ball after buying two balls at regular price = $1.00
The price of the number of balls Coach John pays for the balls he bought = $136
To buy 24 balls, we have;
2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1
Therefore;
The number of balls bought at regular price = The sum of the 2s = 16 balls
The number of balls bought for $1 = 24 - 16 = 8 balls
Let x represent the regular price of the balls, we have;
16 × x + 8 = 136
16·x = 138 - 8 = 128
x = 128/16 = 8
The regular price of the balls = x = $8.
Determine the equation of the graph with the coordinates of (4, -1)
O y = (x-4)2 - 1
O y=(x + 4)2 + 1
O y = (x + 4)2 - 1
O y = (x - 4)2 + 1
Answers
Answer:
The required equation of the graph with the coordinates of (4, -1) will be:
[tex]y=\left(x-4\right)^2-1[/tex]The graph is also attached.
Step-by-step explanation:
Given the coordinates (4, -1)
If we put the coordinate values (4, -1) in the given equations, we determine that only [tex]y=\left(x-4\right)^2-1[/tex] is the valid equation as it satisfies the given coordinate value.
For example, putting (4, -1) in the equation
[tex]y=\left(x-4\right)^2-1[/tex]
[tex]\left(-1\right)=\left(4-4\right)^2-1[/tex]
[tex]-1=\left(0\right)^2-1[/tex]
[tex]-1=0-1[/tex]
[tex]-1=-1[/tex]
So, the equation [tex]y=\left(x-4\right)^2-1[/tex] is true for the coordinate values (4, -1).
Therefore, the required equation of the graph with the coordinates of (4, -1) will be:
[tex]y=\left(x-4\right)^2-1[/tex]Please check, the graph is also attached.
Data collected on the depth of the Mississippi River and the water discharge are given in the table:
Depth Discharge (ft3)
1.59 63
2.90 97
3.10 123
3.31 254
3.31 398
4.27 550
4.55 583
6.67 603
6.79 655
6.82 726
Find r2, and interpret the results. (4 points)
0.81; The least-squares regression line, given by ŷ = −126.08 + 122.67x, is not a good fit for the data.
0.90; The least-squares regression line, given by ŷ = −126.08 + 122.67x, is a good fit for the data.
0.81; The least-squares regression line, given by ŷ = −126.08 + 122.67x, is a good fit to the data.
0.81; The least-squares regression line, given by ŷ = 122.67 − 126.08x, is a good fit to the data.
0.90; The least-squares regression line, given by ŷ = 122.67 − 126.08x, is not a good fit to the data.
Answers
Answer:
C. 0.81; The least-squares regression line, given by ŷ = −126.08 + 122.67x, is a good fit to the data.
In AABC, mZA (3x + 1)º, m B = (x + 14)", and mZC = (4x + 5)º. What is the value of x?
Answers
Answer:
x = 20
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180
3x + 1 + x + 14 + 4x + 5 = 180, that is
8x + 20 = 180 ( subtract 20 from both sides )
8x = 160 ( divide both sides by 8 )
x = 20
Ieep doing this one wrong can someone tell me what it is? Please
Answers
Answer:
1.64 inches or about 1.6 inch
Step-by-step explanation:
The big skittle is 5.5 by 3 and the smaller one is 3 by ? which can be written out like [tex]\frac{5.5}{3}[/tex]=[tex]\frac{3}{?}[/tex] since the skittles proportional then ? = [tex]\frac{3times3}{5.5}[/tex]= 1.636363636...
so it's about 1.64
What does F(1) represent ?
Answers
Answer:
F(1) represents the first term of the sequence.
Step-by-step explanation:
Let us suppose the sequence function
[tex]F(n) = 16-3n[/tex]
We can find the first term of the sequence by substituting n=1 in the function sequence
[tex]F(1) = 16-3(1)[/tex]
[tex]= 16-3[/tex]
[tex]=13[/tex]
We can find the 2nd term of the sequence by substituting n=2 in the function sequence
[tex]F(2) = 16-3(2)[/tex]
[tex]= 16-6[/tex]
[tex]=10[/tex]
We can find the 3rd term of the sequence by substituting n=3 in the function sequence
[tex]F(3) = 16-3(3)[/tex]
[tex]= 16-9[/tex]
[tex]=7[/tex]
So the first three terms of the sequence is:
13, 10, 7...
As the common difference is the same.
i.e. d = 10-13 = -3, d = 7-10 = -3
Hence, it is an Arithmetic sequence.
As the first term is 13, which can be obtained by putting n=1 in the function sequence.
Therefore, from the above discussion, we can conclude that F(1) represents the first term of the sequence.
Si en un triángulo un ángulo mide 30º y otro 70º¿cuánto mide el tercer ángulo?
Answers
Answer:
El tercer ángulo es 80
Step-by-step explanation:
En un triángulo hay 3 ángulos. Cuando sumas todos los ángulos, es igual a 180. Entonces, para esto, todo lo que tienes que hacer es sumar 30 y 70, lo que te da 100. Luego, restar 100 de 180, lo que te da 80. Lo que significa que el tercer ángulo es 80 :)
miss watson runs a disatnce of 200 metres in 25 seconds.
work out the average speed of miss watson in metres per second
Answers
Answer:
Step-by-step explanation:
ANSWER:
average = total distance / time
average = 200/25 = 8 m /s
Billy jarred 3.87 liters of jam after 3 days. How many days does Billy need to jar 15.48 liters of jam in all?
Answers
Answer: 12 days
Step-by-step explanation:
3.87/3=1.29 liters of jam in 1 day
1.29*12=15.48 liters in 12 days
Answer:
12 days
Step-by-step explanation:
Is the equation y=2x-2 is proportional or non-proportional?
Answers
Answer:
i believe their proportional
Step-by-step explanation:
cause they have a linear function
Mary was able to make 3 necklaces and 2 bracelets in 30 minutes. It takes her 5 minutes longer to make a necklace than a bracelet. How long does it take to make each necklace and each bracelet?
A. Bracelets take 3 minutes to make, and Necklaces take 8 minutes to make.
B. Bracelets take 8 minutes to make, and Necklaces take 3 minutes to make.
C. Bracelets take 15 minutes to make, and Necklaces take 20 minutes to make.
D. Bracelets take 20 minutes to make, and Necklaces take 15 minutes to make.
Answers
Answer:
A. Bracelets take 3 minutes, and necklaces take 8 minutes.
Step-by-step explanation:
If Mary made 3 necklaces at that rate, it would add up to 24 minutes. A bracelet takes 3 minutes to make, and she made 2, so that would take 6 minutes. Add 24 to 6 and you'll get 30 minutes. I hope this helped :^)
Answer:
23 56
Step-by-step explanation:
yt
1.Read the passage given below.
I have found that nothing in life is worthwhile unless you take risks. Nothing.
Nelson Mandela said: “There is no passion to be found playing small, in settling
for a life that is less than the one you are capable of living.”
I am sure your experiences in school… in applying to college… in picking your
major…in doing what you want to do with life, people have told you to make
sure you’ve something to “fall back on”.
But if I am going to fall, I don’t want to fall back on anything, except my faith.
I want to fall forward. At least I figure that way I will see what I am about to hit.
Thomas Edison conducted 1,000 failed experiments. Did you know that? I
didn’t either, because 1,001 was the light bulb.
Fall forward.
Every failed experiment is one step closer to success. You have got to take risks.
And I am sure you’ve probably heard that before. But I want to talk about why
it is so important.
You will fail at some point in life. Accept it. You will lose. You will embarrass
yourself. There is no doubt about it. That’s not a traditional message for a
graduation ceremony.
But, hey, I am telling you- embrace it. Because it is inevitable.
And I should know; in the acting business you fail all the time.
Early in my career, I auditioned for a part in a Broadway musical. A perfect role
for me, I thought- except for the fact that I can’t sing. So, I start to sing and
they are not saying anything. I think I must be getting better, so I start getting
into it. The director cuts me off saying I will be hearing from him.
I assumed I didn’t get the job.
But the next part of the audition, the acting part, he called me back, though I
didn’t get that too.
But here’s the thing. I didn’t quit. I didn’t fall back.
I walked out of there to prepare for the next audition, and the next audition,
and the next one. I prayed and I prayed, but I continued to fail, and failed and
failed.
But it didn’t matter because if you try long enough you’ll catch your break.
And I did catch a break.
On the basis of your understanding of the passage, answer the questions that
follow. (1x5=5)
I. The speaker will fall back only on his
a) savings
b) faith
c) relations
d) physical strength
II. Which of the following does not mean the same as ‘fall forward’ here?
a) try again
b) another attempt
c) retry
d) fall on the ground
III. What are the two things that the listeners would have heard before,
according to the speaker?
1.making sure that one has something to fall back on.
2.one has got to take risks.
3.always settle for what one has
4.every failure is one step close to success.
a) 1 and 2
b) 2 and 3
c) 3 and 4
d) 1 and 3
IV. What is the Literary Device used in the paragraph “I walked out of there
to prepare for the next audition, and the next audition, and the next one.
I prayed, and I prayed, but I continued to fail, and failed and failed.”
a) parallelism
b) hyperbole
c) repetition
d) irony
V. What do you understand about the profession of the speaker from the
passage?
a) singer
b) writer
c) poet
d) actor
Answers
Answer:
singe
writer
poiter
and many many things
the population of fish in a pond from 2001 to 2014 is modeled by the function below where t is the years since 2001. using the function find the number of fish is the pond in 2014
[tex]p(t)=\frac{1125}{1+12e^{-0.17t} }[/tex]
Answers
Given :
The population of fish in a pond from 2001 to 2014 is modeled by the function below where t is the years since 2001.
[tex]p(t) = \dfrac{1125}{1+12e^{-0.17t}}[/tex] ...1)
To Find :
Find the number of fish is the pond in 2014.
Solution :
Number of years, t = 2014 - 2001 = 13.
Putting value of t in equation 1), we get :
[tex]p(t) = \dfrac{1125}{1+12e^{-0.17\times 13}}\\\\p(t) = 485.67[/tex]
p(t) ≈ 486
Therefore, number of fish in the pond in 2014 is 486.
Hence, this is the required solution.
Please help no one has answered this I really do appreciate answers!
Answers
Answer:
[tex]8x^{9}[/tex]
Step-by-step explanation:
to solve [tex](2x^{3} )^{3}[/tex], you multiply the exponents and do [tex]2^{3}[/tex].
John has 3 ½ pounds of Skittles. He wants to share them with his friends. He decides to give ¾ pounds of Skittles to each friend. The leftover Skittles he keeps for himself.
Answers
Given :
John has 3 ½ = 7/2 pounds of Skittles.
He decides to give ¾ pounds of Skittles to each friend.
To Find :
How much the leftover Skittles are.
Solution :
Let, his number of bands are x.
So, amount of Skittles left is :
[tex]L= \dfrac{7}{2}-\dfrac{3x}{4}\\\\L = \dfrac{24-3x}{4}[/tex]
Therefore, amount of leftover Skittles are [tex]\dfrac{24-3x}{4}[/tex] pounds if number of friends are x.
Hence, this is the required solution.
I need help please help me
Answers
Answer:
A, B and D
Step-by-step explanation:
The zeros of f(x) are the points located on the x- axis, that is where y = 0
We can check which ones are the solutions by finding the zeros of f(x)
To find the zeros let f(x) = 0 , that is
(x² + 2x - 8)(x - 6) = 0 ← factorise the quadratic
(x + 4)(x - 2)(x - 6) = 0
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x - 2 = 0 ⇒ x = 2
x - 6 = 0 ⇒ x = 6
There are 3 zeros at x = - 4, x = 2, x = 6
These are located at A, B and D
Answer:
A, D, B
Step-by-step explanation:
The roots (zeroes) are the x values where the graph intersects the x-axis. To find the roots(zeroes), replace y with 0 and solve for x.
y varies inversely with x if y = 7 when x =-4, find y when x = 5
Answers
Answer:
y = - [tex]\frac{28}{5}[/tex]
Step-by-step explanation:
Given y varies inversely with x then the equation relating them is
y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation
To find k use the condition y = 7 when x = - 4, then
7 = [tex]\frac{k}{-4}[/tex] ( multiply both sides by - 4 )
- 28 = k
y = [tex]\frac{-28}{x}[/tex] ← equation of variation
When x = 5 , then
y = [tex]\frac{-28}{5}[/tex] = - [tex]\frac{28}{5}[/tex]
Someone please answer its due by midnight
Answers
Answer:
Look below :)
Step-by-step explanation:
1. coefficient
2. constant (it's referred to as a constant because the value never changes)
3. This polynomial has 4 terms. We know this by counting them. 5x^3 is one term, -x^2 is the second term, 5x is the third term, and -8 is the fourth term.
4. In descending order: 2, 1, 3, 4. The degree is the same value as the exponent. For the last term, x^2y^2, you add the values of the exponents together to get the degree.
5. -2 is the coefficient. The term with the third degree, or has 3 as the exponent, is -2x^3.
6. 1 is the coefficient. The term with the second degree is x^2. When the coefficient is 1, usually the 1 isn't written because any number multiplied by 1 equals that number (x * 1 = x)
7. 5 is the degree of the polynomial. To find the degree of a polynomial, find whichever term has the highest value for an exponent. In this case, 5 is the highest exponent.
8. 2 is the degree of this polynomial. Although none of the terms may look like they have a degree of 2, in order to find the actual degree of 4xy you have to add the values of the degree of x and y to find the actual degree. If x and y both have a degree of 1, you add those together to make 2.
9. 2[tex]x^{3}[/tex] - 7[tex]x^{2}[/tex] + 5x - 15. To order a polynomial from highest to lowest you have to order the terms in decreasing value of their exponents.
10. -4[tex]x^{3} y[/tex] + 2xy + 5x + 7.
I hope this helps :)
select all pairs of congruent angles
Answers
Answer:
1,4
2,3
1,6
6,7
5,8
5,2
1,6
7,2
8,1
3,6
4,5
1,5
2,6
3,7
4,8
Step-by-step explanation:
Alternate interior, exterior, vertical, and complemetary angles are congruent.
The pairs of congruent angles are ∠1≅∠4, ∠2≅∠3, ∠5≅∠8 and ∠6≅∠7.
What are angles of parallel lines?Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.
From the given figure,
Vertically opposite angles:
∠1≅∠4
∠2≅∠3
∠5≅∠8
∠6≅∠7
Alternate interior angles:
∠3≅∠6
∠4≅∠5
Alternate exterior angles:
∠1≅∠8
∠2≅∠7
Corresponding angles:
∠1≅∠5
∠2≅∠6
∠4≅∠8
∠3≅∠7
Therefore, the pairs of congruent angles are ∠1≅∠4, ∠2≅∠3, ∠5≅∠8 and ∠6≅∠7.
Learn more about the parallel line angles here:
https://brainly.com/question/17237586.
#SPJ1
A minimum temperature of -4.44°C was recorded at a lake. A minimum temprature of 23.3°C was recorded later on the same day. Determine the difference between these minimum and maximum temperatures.
Answers
Answer:
27.74 is the difference
Step-by-step explanation:
23.3° C - (-4.44° C)
23.3 + 4.44
27.74
Priya is given the following Prime Factorisations: 45=3 x 3 x 5 and 105 = 3 x 5 x 7
She uses this information as follows:
The HCF of 45 and 105 is 15 and the LCM of 45 and 105 is 105.
Priya is wrong. What mistake has she made?
Answers
answers
105= 5×5×5
Step-by-step explanation:
priya is wrong because 105 factorism is 5×5×5
Answer:
105= 5×5×5
Step-by-step explanation:
Priya is wrong because 105 factorism is 5×5×5
I have 10 minutes left someone help
Answers
Answer: there is no question. Its empty
Step-by-step explanation:
Answer:
with what
Step-by-step explanation:
which of the following numbers in order from least to greatest?
A .20×10
B .20
c . 8.66
D . 8.66 ×10
Answers
Answer:
b.
a.
c.
d.
Step-by-step explanation:
a .20x10=2.00
b .20
c 8.66
d 86.6
Answer:
B
A
C
D
Step-by-step explanation:
This are from the lowest to greatest.
test the symmetric of a function f(x)=x5+x3+x plz answer my question and you will be mark as brainly
Answers
Answer:
Step-by-step explanation:
2000264(X) b x a =177777082
Write the equation of the line in standard form
y
5
3
2
1
X
1
4
2
5
3
-1
-5
-4
-3
-2
-2-
-3
Answers
Answer:
(5,1)
(3,4)
(2,2)
(1,5)
What’s the answer????
Answers
Answer:
It's so dark! There are some words I can't see.
Write the equation of the line that passes through the point (4.3)
and is PERPENDICULAR to the line y = 2x - 4.
Answers
Step-by-step explanation:
Firtsly we know that the slopes must be perpendicular, which means the equations slope would be
[tex] - \frac{1}{2} [/tex]
Now with the slope we can find the y-intercept, which is
[tex]1[/tex]
Therefore the equation is
[tex]y = - \frac{1}{2} x + 1[/tex]