Answer:
1) Let's suppose that you go in a straight line, in a car that moves at a constant speed of 80km/h.
Then the distance from your house (assuming that you start the drive in your house) can be modeled with a linear equation:
D(t) = 80km/h*t
where t is time in hours.
This will be a linear function.
2) Suppose that you have a population of some animal, that grows by 2% each month, and initially, there are 100 individuals of that animal.
Then the first month, the population is 100.
The second month the population increased by a 2%, then it will be:
100 + 100*0.02 = 100*(1.02)
The third month, the population will be 100*(1.02) + 0.2*100*(1.02) = 100*(1.02)^2.
and so on, this is an exponential relation, where the population as a function of the number of months, can be written as:
P(m) = 100*(1.02)^(m - 1)
3) Suppose that you have $100 saved, and each month you can save another $80, let's find a function that says the amount of money that you have saved as a function of the number of months. S(m)
The month number zero (before you started saving) you had $100 saved.
S(0) = $100.
One month after, you have saved $80 more, then you have:
S(1) = $100 + $80
Another month after, you have:
S(2) = $100 + $80 + $80 = $100 + 2*$80
And so on, you already can see the pattern, after m months, you will have:
S(m) = $100 + m*$80 saved.
Kaleb goes out to Chili's and orders a cheeseburger, fries, soda, and chocolate brownie. His total comes to $27.75. He wants to leave his server a 20% tip. How much tip will his server receive?
Answer:
Kaleb's server will get a tip of $5.55.
Step-by-step explanation:
In order to find the 20% tip. We must calculate 20% of $27.75.
In other words, $27.75 is the full amount, or total of the order. We can also consider this 100% of the required amount.
So, we need to find 20% of $27.75.
27.75 x 0.20 = $5.55 (which is 20% of 27.75)
Therefore, Kaleb's server will get a tip of $5.55.
Hope this helps! :)
The angle bisectors of triangle XYZ meet at point P. What is the measure of angle PYK
Answer:
Step-by-step explanation:
m∠PYK = 27°
HELP MATH SUCKSSSSSSSSSSSS
Answer:
[tex]\huge\boxed{\sf Slope = \frac{1}{11} }[/tex]
Step-by-step explanation:
Given coordinates are (6,-3) and (-5,-4).
[tex]\sf Slope = \frac{y2-y1}{x2-x1}\\\\Slope = \frac{-4+3}{-5-6} \\\\Slope = \frac{-1}{-11} \\\\Slope = \frac{1}{11} \\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807Find the next three terms of the following arithmetic Sequence 3.1,4.1,5.1,6.1
Answer:
7.1, 8.1, 9.1
Answer:
7.1
,
8.1
,
9.1
Step-by-step explanation:
The terms of an arithmetic sequence are generated by adding the common difference (d) to the previous term.
a
1
,
a
1
+
d
,
a
1
+
2
d
,
a
1
+
3
d
,
...
.
,
a
1
+
(
n
−
1
)
d
where
d
=
a
2
−
a
1
=
a
3
−
a
2
=
...
.
=
a
n
−
a
n
−
1
here
d
=
4.1
−
3.1
=
1
Adding 1 to each term gives the next 3 terms in the sequence.
⇒
(
6.1
+
1
)
=
7.1
and so onThe terms of an arithmetic sequence are generated by adding the common difference (d) to the previous term.
a
1
,
a
1
+
d
,
a
1
+
2
d
,
a
1
+
3
d
,
...
.
,
a
1
+
(
n
−
1
)
d
where
d
=
a
2
−
a
1
=
a
3
−
a
2
=
...
.
=
a
n
−
a
n
−
1
here
d
=
4.1
−
3.1
=
1
Adding 1 to each term gives the next 3 terms in the sequence.
⇒
(
6.1
+
1
)
=
7.1
and so onThe terms of an arithmetic sequence are generated by adding the common difference (d) to the previous term.
a
1
,
a
1
+
d
,
a
1
+
2
d
,
a
1
+
3
d
,
...
.
,
a
1
+
(
n
−
1
)
d
where
d
=
a
2
−
a
1
=
a
3
−
a
2
=
...
.
=
a
n
−
a
n
−
1
here
d
=
4.1
−
3.1
=
1
Adding 1 to each term gives the next 3 terms in the sequence.
⇒
(
6.1
+
1
)
=
7.1
and so onThe terms of an arithmetic sequence are generated by adding the common difference (d) to the previous term.
a
1
,
a
1
+
d
,
a
1
+
2
d
,
a
1
+
3
d
,
...
.
,
a
1
+
(
n
−
1
)
d
where
d
=
a
2
−
a
1
=
a
3
−
a
2
=
...
.
=
a
n
−
a
n
−
1
here
d
=
4.1
−
3.1
=
1
Adding 1 to each term gives the next 3 terms in the sequence.
⇒
(
6.1
+
1
)
=
7.1
and so onThe terms of an arithmetic sequence are generated by adding the common difference (d) to the previous term.
a
1
,
a
1
+
d
,
a
1
+
2
d
,
a
1
+
3
d
,
...
.
,
a
1
+
(
n
−
1
)
d
where
d
=
a
2
−
a
1
=
a
3
−
a
2
=
...
.
=
a
n
−
a
n
−
1
here
d
=
4.1
−
3.1
=
1
Adding 1 to each term gives the next 3 terms in the sequence.
⇒
(
6.1
+
1
)
=
7.1
and so on
PLEASE HELP WILL GIVE BRAINLIEST
Answer:
I don't understand what this is.
Step-by-step explanation:
Explain why the exponent in 3.5 x 10 6 is 6 there are only 5 zeros in 3500000
Step-by-step explanation:
The given number is 3.5×10⁶. It is written in scientific form. We can first write it into standard form. There is exponent of 10 is 6.
3.5×10⁶ = 3.5×1000000
We can write 3.5 as 35/10
So,
3.5×10⁶ = (35/10)×1000000
= 3500000
One of the zero of 1000000 is divided by 10 at the denominator. Hence, the exponent in 3.5×10⁶ is 6 while there are 5 zeros in 3500000.
You purchase 6 bunches of scallions. Each bunch weighs 6 ounces. The trim loss percent is 19%. After cleaning the scallions you have 29.5 ounces of cleaned scallions. What is the yield percent for scallions?
Answer:
Step-by-step explanation:
If the price od 1 scallions weight 6ounces, 6 bunches of scallion wwill weight 6(6) i.e 36 ounces.
Cost price = 36 ounces.
%Loss = 19%
Get the selling price
%Loss = 36-Sp/36 * 100
19 = 36-Sp/36 * 100
0.19 = 36-Sp/36
0.19 * 36 = 36-Sp
7.41 = 36-Sp
Sp = 7.41 + 36
Sp = 43.41 ounces
If after cleaning you have 29.5 ounces of cleaned scallions, then then;
% gain = 43.41-29.5/29.5 * 100
%gain = 13.91/29.5 * 100
%gain = 47.2%
Hence the yield percent id 47.2%
The group of 25 victims scored an average of 25.3 with a sample standard deviation of 9 on the depression scale. The group of 23 bully-victims scored an average of 20.5 with a sample standard deviation of 8 on the same scale. You do not have any presupposed assumptions about whether victims or bully-victims will be more depressed, so you formulate the null and alternative hypotheses as:
Complete Question
The group of 25 victims scored an average of 25.3 with a sample standard deviation of 9 on the depression scale. The group of 23 bully-victims scored an average of 20.5 with a sample standard deviation of 8 on the same scale. You do not have any presupposed assumptions about whether victims or bully-victims will be more depressed, so you formulate the null and alternative hypotheses as:
[tex]H_o: \ \ \mu_{victims} - \mu_{bully-victims} = 0H1: \ \ \mu _{victims} - \mu_{bully-victims} \ne 0[/tex]
You conduct an independent-measures t test. Given your null and alternative hypotheses,
this is a ________ [ Select ] ["two-tailed", "one-tailed"] test.
The degree of freedom is __________ [ Select ] ["46", "48", "24", "22"]
and for an alpha of .01, the critical t is +/- _________ [ Select ] ["2.704", "2.021", "1.684"]
In order to calculate the t statistic, you first need to calculate the standard error under the assumption that the null hypothesis is true. In order to calculate the standard error, you first need to calculate the pooled variance. The pooled variance is ________ [ Select ] ["72.8696", "145", "0.3756", "71.3201"] .
The standard error is ___________ [ Select ] ["2.4664", "2.5572", "1.9543", "72.8712"] .
The t-statistic is _________ [ Select ] ["1.95", "2.55", "-1.70", "-2.25"]
Answer:
First Question
The correct option is "two-tailed"
Second Question
The correct option is "46"
Third Question
The correct option is "2.704"
Fourth Question
The correct option is "72.8696"
Five Question
The correct option is "2.4664"
Sixth Question
The correct option is "1.95"
Step-by-step explanation:
From the question we are told that
The number of victims is [tex]n_1 = 25[/tex]
The sample mean is [tex]\= x_1 = 25.3[/tex]
The standard deviation is [tex]s_1 = 9[/tex]
The number of bully victims is [tex]n_2 = 23[/tex]
The sample mean is [tex]\= x_2 = 20.5[/tex]
The standard deviation is [tex]s_2 = 8[/tex]
Generally this is a two -tailed test because from the null and the alternative hypothesis we see that the test is know whether the mean number of victims is significantly more depressed than bully -victims or significantly less depressed than bully -victims
Generally the degree of freedom is mathematically represented as
[tex]df = n_1 + n_2 -2[/tex]
=> [tex]df = 25 + 23 -2[/tex]
=> [tex]df = 46[/tex]
Generally from t distribution table the critical value of [tex]\alpha = 0.01[/tex] for a two-tailed test at a degree of freedom of [tex]df = 46[/tex] is
[tex]t_{0.01 , 46} = \pm 2.704[/tex]
Generally the pooled variance is mathematically represented as
[tex]s^2 = \frac{(n_1 - 1) s_1^2 + (n_2 - 1)s_2^2}{df}[/tex]
=> [tex]s^2 = \frac{(25 - 1) 9^2 + (23 - 1)8^2}{46}[/tex]
=> [tex]s^2 = 72.8696[/tex]
Generally the standard error is mathematically represented as
[tex]SE = s \sqrt{\frac{1}{n_1} + \frac{1}{n_2} }[/tex]
[tex]SE = \sqrt{s^2} * \sqrt{\frac{1}{n_1} + \frac{1}{n_2} }[/tex]
=> [tex]SE = \sqrt{72.8696} * \sqrt{\frac{1}{25} + \frac{1}{23} }[/tex]
=> [tex]SE = 2.4664[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{\= x_ 1 - \= x_2}{SE }[/tex]
=> [tex]t = \frac{25.3 - 20.5}{ 2.4664 }[/tex]
=> [tex]t =1.95[/tex]
To test if bully-victims are more depressed, we have that:
The null hypothesis is [tex]H_0: \mu_B - \mu_{NB} = 0[/tex]The alternative hypothesis is: [tex]\mu_M - \mu_{NB} < 0[/tex]For our test, we consider that:
The mean score of bully victims is given by: [tex]\mu_B[/tex].The mean score of non-bully victims is given by: [tex]\mu_{NB}[/tex]At the null hypothesis, we test that they have the same scores, that is:
[tex]H_0: \mu_B = \mu_{NB}[/tex]
Which can also be written as:
[tex]H_0: \mu_B - \mu_{NB} = 0[/tex]
At the alternative hypothesis, we test if the score of bully victims is less than the score of non-bully victims, that is:
[tex]H_1: \mu_B < \mu_{NB}[/tex]
[tex]H_1: \mu_B - \mu_{NB} < 0[/tex]
A similar problem is given at https://brainly.com/question/16252312
what would you do with a TV if you are from the past and dont know to do with it
Answer:
lol I would think its some type of witchcraft. probably burn it!
how do you solve f(x)= -(2x-3) (2x-4)
Simplify the expression
Answer:
B
Step-by-step explanation:
Answer: 1
Step-by-step explanation:
do yall like star wars
Answer:
Yes, my favorite personally is the last jedi
Step-by-step explanation:
Answer:
I love star wars!
My personal favorites are The Clone Wars, The Phantom Menace, Revenge of the Sith, A New Hope, The Empire Strikes back, Return of the Jedi, and The Mandalorian. Just to name a few :P
Step-by-step explanation:
4x+2y=6 please solve for y
Answer:
y=3-2x
Step-by-step explanation:
Move all terms that don't contain y to the right and solve.
One card is selected at random from a deck of card. Determine the probability that the card selected is not a 4
Answer:
12/13
Step-by-step explanation:
A probability is the number of desired outcomes over the total number of outcomes.
Assuming that this is a standard deck of playing cards, there will be 52 cards, and there will be 4 "4" cards.
First, find the number of desired outcomes, and put it over the total number of outcomes.
Out of the total number of outcomes (52), there are 4 outcomes that are not wanted, hence the equation is:
52 - 4 = 48
So out of the 52 possible outcomes, 48 are desired. Set up the fraction and
simplify:
48/52
/4 /4
= 12/13
A factory produces gaskets at a constant rate.
after 6 hours, 4620 gaskets have been produced. How many gaskets does the factory produce per hour.
Answer:
770 per hour.
Step-by-step explanation:
2. The graph of f(x) is shown below. Find one value of x for which f(x) = 2.
X=
Answer:
let f(x)=2,
•In this function there is no x therefore it's a constant function represent as y=2 at x=0
• Therefore at f(0)=2 and even at x=2 it will be the same
• at f(2)=2 , coordinate will be (2,2)
•• at f(0)=2 , coordinate will be (0,2)
Step-by-step explanation:
Please heIp!! I will give u ten points
If RE = 4x + 7, ET = 2(3x - 4), and RT = 43, then find the value for ET.
None of the other answers are correct
18.4
24.6
4.4
44
Answer:
B
Step-by-step explanation:
RT is the combined segments RE and ET. So:
[tex]RT=RE+ET[/tex]
We know that RT is 43, RE is (4x+7) and ET is 2(3x-4). Substitute:
[tex]43=(4x+7)+2(3x-4)[/tex]
Solve for x. Distribute the right:
[tex]43=4x+7+6x-8[/tex]
Combine like terms:
[tex]43=10x-1[/tex]
Add 1 to both sides:
[tex]10x=44[/tex]
Divide both sides by 10:
[tex]x=4.4[/tex]
So, the value of x is 4.4.
ET is defined as 2(3x-4).
We can find ET by substituting 4.4 for x. So:
[tex]ET=2(3(4.4)-4)=2(13.2-4)=2(9.2)=18.4[/tex]
Hence, our answer is B.
Does the graph of the line shown below have a positive or negative slope?
Answer:
forgot to add it
Step-by-step explanation:
thx for points ig
You can spend no more than $100 on a party you are hosting the cost per guest is eight dollars what is the number of the guests
Answer:
its.12.5
Step-by-step explanation:
but if you round it up it can be either 13 or 12 but i would stick with 12 cause you cant round it up for guests since you know real life and if you stay at 12 they hey stay at 12
Answer:
12
Step-by-step explanation:
100÷8=12.5
can't have half of a person
Jackson hikes 220.2 meters up a mountain. If he is 60% of the way up, how tall is the mountain?
A. 132.12 meters
B. 280.2 meters
C. 367 meters
D. 13,200 meters
the Answer is C. 367 meters
Answer: 367 meters
Step-by-step explanation:
ture or false: when you translate a figure in the coordinate plane, the number of units you translated is added to the y-coordinate.
Answer:
False
Step-by-step explanation:
Because a translation can increase or decrease both the x and the y.
in a small group of ducks, there are 6 males and 2 females, which ratio of males to females is an equivalent ratio
Answer:
for every 3 male ducks, there is 1 female duck
Step-by-step explanation:
3/1
Answer:
1 female per 3 males
Step-by-step explanation:
duh
Can someone help me answer this question X= 6 6 6 6
Answer:
Would it be 90 degrees?
Step-by-step explanation:
Answer:
X=1296
or if your trying to look for the area it would be x=1111
its basically length times width
Mya is doing a 45-minute cardio workout. She has completed 4/5 of the workout. In how many minutes will her workout be done?
Answer:
9 minutes
Step-by-step explanation:
We can start by dividing 45 by 5, the denominator which is
9
then we can multiply that by the numerator 4, which is
36
finally, we subtract 36 from 45 which is
9
The population of a particular type of bacteria is known to triple in 22 days. What is the daily growth rate
Answer: ∛(3)
Step-by-step explanation:
Suppose that at day 0 the population was A.
at day 3, the population will be: 3*A
at day 6, the population will be 3*(3*A) = A*3^2
then, at day N = 3*n (where n = 0, 1, 2.....) the population will be:
P(N) = A*3^n
Particularly, if we take n = 1/3 we will have:
N = 3*1/3 = 1
This means that this is the first day after the day 0.
P(1) = A*3^(1/3)
(then in day one, the population grow by a factor of 3^(1/3))
N = 2 is when n = 2/3, then:
P(2) = A*3^(2/3)
The quotient between P(2) and P(1) is equal to the growth between day one and day two, this should be the same as the growth between day zero and day one.
A*3^(2/3)/(A*3^(1/3)) = 3^( 2/3 - 1/3) = 3^(1/3)
So we found that the daily growth rate is 3^(1/3) or ∛(3)
The daily growth rate of the bacteria is an illustration of unit rates
The daily growth rate of the bacteria is 0.136
For 22 days, the population of the bacteria triples.
The daily rate is the amount of bacteria each day.
So, we have:
[tex]\mathbf{Daily = \frac{Rate}{Days}}[/tex]
This gives
[tex]\mathbf{Daily = \frac{3}{22}}[/tex]
Divide
[tex]\mathbf{Daily = 0.136}[/tex]
Hence, the daily growing rate of the bacteria is 0.136
Read more about rates at:
https://brainly.com/question/18065083
please answer see the image
Answer:
67.7Step-by-step explanation:
perimeter = semicircle (x2) + parallelogram side (x2)
= 1/2 π 12 (x2) + 15 (x2)
= 37.7 + 30
= 67.7
No one answer this I just wanna say hiiii
Answer:
hi
Step-by-step explanation:
hi
2) f(x) = 27x^6+ 1524x^3+125
Answer:
Step-by-step explanation:
Let x^3 = y
f(x) = 27(x^3)^2 + 1524(x^3) + 125
f(x) = 27 y^2 + 1524y + 125
You can now put this into the quadratic formula. When you do, you get
(y + 0.0821)(y+56.3623) = 0
So now you substitute x^3 into this
(x^3 + 0.0821)(x^3 + 56.3623)
x^3 + 0.0821 = 0
x^3 = - 0.0821
cuberoot x^3 = cube root 0.0821
x = - 0.4346
x^3 = - 56.3623
x = - 3.8341
5^2x=4 Plz Answer I can't figure it out!
Answer:
In decimal form 0.16
Step-by-step explanation: