Sam the Hummingbird flies at a rate of 2 yards per minute, as modeled by the equation y = 2x. She
increases her rate by 2 yards per minute. Plot two ordered pairs showing the distances she will fly at 1
minutes and 2 minutes, respectively, at her new rate.
Sometimes she may move backwards.
Answers
Answer:
See attachment for plot
Step-by-step explanation:
Given
[tex]y =2x[/tex]
[tex]R =+2[/tex] --- increment in the rate
First, we need to model the new rate
A linear equation is:
[tex]y = mx + b[/tex]
Where
[tex]m = rate[/tex]
Compare [tex]y =2x[/tex] and [tex]y = mx + b[/tex]. we have:
[tex]m =2[/tex]
The above represents the previous rate.
The new rate:
[tex]R =+2[/tex]
Rewrite as:
[tex]R = m+2[/tex]
[tex]R = 2+2[/tex]
[tex]R = 4[/tex]
So, the model is:
[tex]y = Rx[/tex]
[tex]y = 4x[/tex]
The plot at 1 and 2 minutes
When [tex]x = 1[/tex]
[tex]y = 4x = 4 * 1 = 4[/tex]
When [tex]x = 2[/tex]
[tex]y = 4x = 4 * 2 = 8[/tex]
So, we have:
[tex](x_1,y_1) =(1,4)[/tex]
[tex](x_2,y_2) =(2,8)[/tex]
Whether she moves backwards or forward, the distance covered remains the same
See attachment for plot
Related Questions
Round off to two decimal places
27.305
Answers
Answer:
20 in place value of 2
hope it helped
Suppose you roll a 6-sided number cube twice, and each time you
rolled a 4. a) Is the rolling of the number cube twice independent or
dependent events? b) What is the probability of rolling two fours? c)
Explain the difference between independent and dependent events.
Answers
b) 1/36
c) an independent event can include repeating an action like rolling a dice. A dependant event is the outcome of the first event and how it affects the second.
You can approximate e by substituting large values for n into the expression
A. (1- 1/n)^n
B. (1+n)^in
C. (1 - n) ^in
O D. (1+1/n)^2
Answers
Answer:
D. (1+1/n)n
Step-by-step explanation:
The value of the expression A, B, C, and D will be 1, ∞, ∞, and 1.
What is Algebra?Algebra is the study of graphic formulas, while logic is the interpretation among those signs.
You can approximate e by substituting large values for n into the expression.
Let the infinity be the largest number.
A. (1 – 1/n)ⁿ
Substitute n = ∞, then the value of the expression will be
[tex]\Rightarrow \left (1 - \dfrac{1}{\infty} \right)^{\infty}\\\\\Rightarrow \left (1 - 0 \right)^{\infty}\\\\\Rightarrow 1[/tex]
B. (1 + n)ⁿ
Substitute n = ∞, then the value of the expression will be
[tex]\Rightarrow \left (1 + \infty \right)^{\infty}\\\\\Rightarrow \infty^{\infty} \\\\\Rightarrow \infty[/tex]
C. (1 – n)ⁿ
Substitute n = ∞, then the value of the expression will be
[tex]\Rightarrow \left (1 - \infty \right)^{\infty}\\\\\Rightarrow \infty^{\infty} \\\\\Rightarrow \infty[/tex]
D. (1 + 1/n)²
Substitute n = ∞, then the value of the expression will be
⇒ (1 + 1/∞)²
⇒ (1 + 0)²
⇒ 1²
⇒ 1
Then the value of the expression A, B, C, and D will be 1, ∞, ∞, and 1.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ5
There are $5$ girls and $5$ boys in a chess club. The club holds a round-robin tournament in which every player plays against every other player exactly once.
If Anita is one of the club members, what fraction of all games at the tournament does Anita play in? Enter your answer as a fraction in simplified form.
Answers
Answer: 5
Step-by-step explanation:
FIRST PERSON TO ANSWER GET MARKED BRAINLY
Find the value.
Answers
Answer: 3 x 5²= 75
Step-by-step explanation:
How I got my answer was multiplying 3 x 5= 15 then 15 x 5=75 on my paper and that should be the right answer hope it help and the answer should be 75
Please help this is very important to my grade
Answers
Answer:
3, 6, 2.7( The is one I cannot see cuz of glare)
Step-by-step explanation:
jaslyyyyyyyyyy yus beans
Answers
Answer:
7/9
Step-by-step explanation:
21 / 27 = 3 * 7 / 3 * 9
= 7/9
Round to the nearest whole dollar: 2.89
Answers
Answer:
I believe it would be $3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Because 0.89 is greater than 0.5, we have to round up. Therefore, the answer is 3.
If this helps please mark as brainliest
Find the surface area of the prism. The surface area is
Answers
Answer:
132m^2
Step-by-step explanation:
Area=10x5+3x4x2/2+10x3+4x10
=50+12+30+40
=132
Answer: 132 meters squared
Step-by-step explanation:
We add all the sides of the shape:
Three quadrangular sides:
3 x 10 = 30
4 x 10 = 40
5 x 10 = 50
30 + 40 + 50 = 120
Two triangular sides:
3 x 4 / 2 = 6
3 x 4 / 2 = 6
6 + 6 = 12
We add all up:
120 + 12 = 132 meters squared
Given that a/b = 3/5 and b/c = 3/4.
Find a : b : c
Answers
Answer:
a : b : c = 9 : 15 : 20
Step-by-step explanation:
Here, b is common to both the ratios. In order to find the combined ratio of a, b and c, it is required to make the b ratio same in the given ratios.
Therefore,
[tex] \frac{a}{b} = \frac{3}{5} = \frac{3 \times 3}{5 \times 3} = \frac{9}{15} \\ \\ \frac{b}{c} = \frac{3}{4} = \frac{3 \times 5}{4 \times 5} = \frac{15}{20} \\ \\ \implies \: a : b : c = 9 : 15 : 20[/tex]
Help me out thanks !!!!!
Answers
Answer:
x = 60°
Step-by-step explanation:
First find <E by applying the angles of intersecting chords theorem.
Based on the theorem, we would have the following equation:
m<E = ½(arc CA + arc BD)
Substitute
m<E = ½(170° + 70°)
m<E = ½(240)
m<E = 120°
Let's find x:
x = 180° - m<E (supplementary angles)
x = 180° - 120° (substitution)
x = 60°
2. Write an equation in siope-interceptform to represente relationship in the table
Answers
Answer:
-4/-5
Step-by-step explanation:
you have to pick 2 numbers from the y row and the x row i picked -7 and 3 and -5 and 0 so first you would do 3-(-7) and that would be -4 and then do -5-0 and that would be -5 then you would put the y/x
Assume that 200 babies are born to 200 couples treated with the XSORT method of gender selection that is claimed to make girls more likely. Preliminary results from a test of the XSORT method of gender selection involved 200 couples who gave birth to 115 girls and 85 boys. At significance level of 0.1, test whether the proportion of girl births after the treatment is greater than the 50% that occurs without any treatment (optional: show your work of the hypothesis testing in paper). Answer the next three questions
a. test statistic =
b. p-value =
c. What is your decision?
Answers
Answer:
a) test statistic = 2.12
b) p-value = 0.017
c) we reject the Null hypothesis
Step-by-step explanation:
Given data :
N = 200
girls (x) = 115 , Boys = 85
p = x / n = 115 / 200 = 0.575
significance level ( ∝ ) = 0.1
aim : test whether the proportion of girls births after the treatment is greater than 50% that occurs without any treatment .
A) Determine the test statistic
H0 : p = 0.5
Ha : p > 0.5
to determine the test statistic we will apply the z distribution at ( ∝ ) = 0.1
Z - test statistic = ( 0.575 - 0.5) / [tex]\sqrt{0.5*0.5 / 200}[/tex] = 2.12
b) determine the p-value
The P-value can be determined using the normal standard table
P-value = 1 - p(Z< 2.12 ) = 1 - 0.9830 = 0.017
c) Given that the p value ( 0.017 ) < significance level ( 0.1 )
we will reject the H0 because there is evidence showing that proportion of girls birth is > 50%
(2)
3. Which of the following is NOT equal to 3/4
a.
a: (0)
b. 123
c. oo
Answers
Answer:
hindi ko poaintindihan paayos po4/5+ 2/3 =? pls help i'm.in 5th grade
Answers
Answer:
2/15
Step-by-step explanation:
Please don’t judge me, can I get some help? Questions in the screenshot below
Answers
And for the other questions I believe it’s as simple as multiplying both of the numbers by each other then by 2/3. I might be wrong on that though I haven’t done that stuff in a long while
Suppose that you are about to purchase a car and have narrowed your choices to two models --Model A and Model B. All things are about equal, such as price, options, even the average annual maintenance costs. You find an owner survey in an auto magazine that indicates that the standard deviation of maintenance costs is smaller for Model B. Based on this information, which of the following statements is most appropriate?
A. Model B with the smaller standard deviation is preferable, because the smaller value implies that the mean is a more reliable representation of maintenance costs.
B. Model A with the larger standard deviation is preferable. Cecause the larger value implies a smaller amount of variation in the data
C. Neither of the models are good since both standard deviations are not equal to 0. B 2
D. They are equally acceptable, because standard deviations are not useful for comparisons of data sets.
E. Cannot determine based on the information provided.
Answers
Answer:
A. Model B with the smaller standard deviation is preferable, because the smaller value implies that the mean is a more reliable representation of maintenance costs.
Step-by-step explanation:
The standard deviation is a measure of the variability of a dataset about a mean value. Larger values of standard deviation implies that the values varies Hugely about the mean whole smaller variability measure values mean that the data only varies a little about the mean. The implication of having a large variability value is that, low and high values in the data can be very different from the mean values, hence, lowering the reliability of Mean value. The lesser varibality gives the mean more reliability as a measure of centre
2. A serving of soup is 275 milliliters.
Will 6 servings of soup fit into a jar that holds up to 1.5 liters of liquid? Explain.
Answers
Answer:
No, the 6 servings of soup is 1675 milliliters, which is greater than 1.5 liters.
Step-by-step explanation:
So we already know that 1 surving of soup is 275 milliliters.
We have 6 survings of this soup.
We need to see if these 6 servings will fit in a 1.5 liter jar.
To find the total amount of mililers, we must multipy this by 6:
275*6
=
1650
Remember that 1 liter is equal to 1000 mililiters. To find the 1650 mililliters in liters, we must divide by 1000:
1650/1000
=
1.65
This number is greater than 1.5 liters, which is how much soup the jar can store.
So the answer is no, the 6 servings of soup cannot fit in the jar.
Select the correct answer what are the x-intercepts of these quadric function g(x)=-2(x-4)(x+1)
Answers
X = 4
X = -1
Thirty students from the Netherlands set up a record of 1,500,000 dominoes. Of these, 1,138,101 were toppled by one push. Which is a more reasonable estimate for how many dominoes remained standing after that push: 350,000 or 400,000?
Answers
7 students study Biology, Chemistry and Physics.
12 students study Biology and Chemistry.
15 students study Biology and Physics.
20 students study Chemistry and Physics.
35 students study Biology.
32 students study Physics.
Complete the Venn diagram.
Answers
Answer:
Step-by-step explanation:
Use the distributive property to find the equivalent expression. 9(2 + 3x) =
Answers
Answer:
9(2+3x)
9*2+9*3x
18+27x
Step-by-step explanation:
A principal of 3700 is invested at 8.25% interest, compounded annually. How much will the investment be worth after 11 years? Use the calculator provided and round your answer to the nearest dollar.
Answers
Perform the indicated operation. -6 + 6
Answers
Answer:
0
Step-by-step explanation:
It is zero, since -6+6 is bassicly 6-6 which is 0
Tristan spent 35% of his allowance on candy each week. If his weekly allowance is $10, How much is he spending on candy? Tristan spends on candy each week.
Answers
Answer:
he is spending 3.50 each week
A bakery sells 5394 donuts in 2010. The bakery sells 10,874 donuts in 2015. Write a linear model that represents the number y of donuts that the bakery sells x years after 2010.
Answers
Answer:
y = 1096x + 5394
Step-by-step explanation:
Given that
The bakery sells 5394 donuts in 2010
And, the bakery sells 10,874 donuts in 2015
We need to write the linear model
So here
we assume that the x be the no of years after 2010
And, y be the no of donuts
Now
x_1 = 0, y_1 = 5394
x_2 = 5, y_2 = 10874
Now the slope is
m = (y_2 - y_1) ÷ (x_2 - x_1)
= (10874 - 5394) ÷ (5 - 0)
= 1,096
Now
y - y_1 = m(x - x_1)
y - 5394 = 1096(x - 0)
y - 5394 = 1096x - 0
y = 1096x + 5394
Suppose we have a set of three buyers who are trying to buy homes from three sellers. Suppose that seller A charges 3 for their house, seller B charges 2 for their house, and seller C charges 1 for their house The valuations for the three buyers are as follows ordered by house number (so house a, then house b, then house c):
Buyer 1: A: 1 B: 3 C: 2
Buyer 2: A: 5 B:5 C: 5
Buyer 3: A: 5 B: 3 C: 2
Assuming that this set of prices is market clearing, provide the utility for each player in the transaction.
Answers
Solution :
As we can see from the following question that :
[tex]$\text{Seller A}$[/tex] charges [tex]$3$[/tex] for their house, [tex]$C_A=3$[/tex]
[tex]$\text{Seller B}$[/tex] charges [tex]$2$[/tex] for their house, [tex]$C_B=2$[/tex]
[tex]$\text{Seller C}$[/tex] charges [tex]$1$[/tex] for their house, [tex]$C_C=1$[/tex]
Now depending on the valuation that each buyer have on these three houses, they derive utility from it :
Buyer I
Valuation for house A, [tex]$V'_A=1$[/tex]
Valuation for house B, [tex]$V'_B=3$[/tex]
Valuation for house C, [tex]$V'_C=2$[/tex]
Utility that buyer I derives from :
House A, [tex]$V_A = V'_A-C_A = 1-3 = -2$[/tex]
House B, [tex]$V_B = V'_B-C_B = 3-2 = 1$[/tex]
House C, [tex]$V_C = V'_C-C_C = 2-1 = 1$[/tex]
As we can see from buying house B and C, buyer I has positively utility, so the buyer will be interested to buy house B and C. As the utility derived from both the houses is same, he will be indifferent.
Buyer II
Valuation for house A, [tex]$V^2_A=5$[/tex]
Valuation for house B, [tex]$V^2_B=5$[/tex]
Valuation for house C, [tex]$V^2_C=5$[/tex]
Utility that buyer II derives from :
House A, [tex]$V_A = V^2_A-C_A = 5-3 = 2$[/tex]
House B, [tex]$V_B = V^2_B-C_B = 5-2 = 3$[/tex]
House C, [tex]$V_C = V^2_C-C_C = 5-1 = 4$[/tex]
Buyer II drives positive utility from all the three houses, so he will be interested to buy any of them but will be inclined towards house C, as it gives the buyer more utility.
Buyer III
Valuation for house A, [tex]$V^2_A=5$[/tex]
Valuation for house B, [tex]$V^2_B=3$[/tex]
Valuation for house C, [tex]$V^2_C=2$[/tex]
Utility that buyer III derives from :
House A, [tex]$V_A = V^2_A-C_A = 5-3 = 2$[/tex]
House B, [tex]$V_B = V^2_B-C_B = 3-2 = 1$[/tex]
House C, [tex]$V_C = V^2_C-C_C = 2-1 = 1$[/tex]
The buyer III derives positive utility from all the three houses but will be more inclined to buy house A as it gives the buyer higher utility as compared to the other houses.
Jenna made $200 during the weekend she plans to give 10% to the church and put 40% and her saving accounts how much will she give to the church and how much will she have
Answers
Answer: 100
Step-by-step explanation:
200*10% or 200 * 0.10= 20
do the same for savings account 200*40%= 80
20 +80 = 100 subtract that from 200 she has 100 left.
WHATS THE ANSWER?? answer ASAP NO FILE AT ALL
Answers
Answer:
A
Step-by-step explanation:
If you flip the picture over and look at it while it is upside-down, you can see that image A is the same shape.
The graph shows the function y = 3.3 - 1. What are the coordinates of the intercepts?
Answers
Answer:
C) (0, -1) and ( [tex]\frac{1}{3}[/tex], 0)
Step-by-step explanation: