Answer:
k + b = 43
15 + b = 43
b = 28
If two objects travel through space along two different curves, it's often important to know whether they will collide. (Will a missile hit its moving target? Will two aircraft collide?) The curves might intersect, but we need to know whether the objects are in the same position at the same time. Suppose the trajectories of two particles are given by the vector functions for t 0. Do the particles collide? If they collide find t. If not enter NONE.
r1(t) = t^2, 8t − 15, t^2
r2(t) = 11t − 30, t^2, 13t − 40
t=
Answer:
Step-by-step explanation:
[tex]r_1(t) = < t^2 , 8t-15,t^2> \\ \\ r_2(t) = < 11t-30, \ t^2 , \ 13t-40> \\ \\ at \ r_1 = r_2 \\ \\ t^2 = 11t - 30 , \ \ \ \ \ \ \ \ \ \ \ \ 8t - 15 = t^2 , \ \ \ \ \ \ \ \ \ t^2 = 13t -40 \\ \\ t^2 - 11t + 30\ \ \ \ \ \ \ \ \ \ \ \ t^2 -8t + 15 , \ \ \ \ \ \ \ \ \ \ \ \ t^2 -13t + 40 \\ \\ t^2 -8t-3t + 30=0 \ \ \ \ \ \ t^2 - 2t -4t + 15=0 \ \ \ \ \ \ t^2 - 1t - 13t + 40 =0[/tex]
[tex](t-6)(t-5) \ \ \ \ \ \ \ \ \ \ \ (t-5)(t-3) \ \ \ \ \ \ \ \ \ \ \ (t-5)(t-8)[/tex]
[tex]\mathbf{The \ common \ value \ of \ t \ = \ 5}[/tex]
American League baseball teams play their games with the designated hitter rule, meaning that pitchers do not bat. The league believes that replacing the pitcher, traditionally a weak hitter, with another player in the batting order produces more runs and generates more interest among fans. Below are the average numbers of runs score in American League and National League stadiums for the first half of the 2001 season. **American:** 11.1, 10.8, 10.8, 10.3, 10.3, 10.1,10.0, 9.5, 9.4, 9.3, 9.2, 9.2, 9.0, 8.3 **National:** 14.0, 11.6, 10.4, 10.3, 10.2, 9.5, 9.5, 9.5, 9.5, 9.1, 8.8, 8.4, 8.3, 8.2, 8.1, 7.9 (a) Create two box plots to display this data and comment on what you see. (b) Estimate the mean number of runs scored in American League games with a 95% CI. What concerns do you have about making a similar CI for National League games
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
**American:**
11.1, 10.8, 10.8, 10.3, 10.3, 10.1,10.0, 9.5, 9.4, 9.3, 9.2, 9.2, 9.0, 8.3
**National:**
14.0, 11.6, 10.4, 10.3, 10.2, 9.5, 9.5, 9.5, 9.5, 9.1, 8.8, 8.4, 8.3, 8.2, 8.1, 7.9
Kindly view attached picture for boxplot :
Using the relation :
Mean ± Zcritical * s/sqrt(n)
Zcritical at 95% = 1.96
National league :
Mean = 9.58125
Standard deviation = 1.5
9.58125 - 1.96 * 1.5/4 = 8.84625
9.58125 + 1.96 * 1.5/4 = 10.31625
(8.84625 ; 10.31625)
American League :
Mean = 9.807
Standard deviation = 0.805
9.807 - 1.96 * 0.805/sqrt(14)= 9.3853152
9.807 + 1.96 * 0.805/sqrt(14) = 10.228684
(8.84625 ; 10.31625)
here
i need help with this
Answer:
i cant see the whole problem
Step-by-step explanation:
the total cost of kurts required textbooks this quarter is $342.50. optional textbooks cost a total of $65.25. whicg inequality shows the total cost C that kurt could pay for his textbooks?
Answer:
342.5 + 65.25 = C
407.75 = C
Step-by-step explanation:
Given that the total cost of Kurt's required textbooks this quarter is $ 342.50, while optional textbooks cost a total of $ 65.25, to determine which inequality shows the total cost C that Kurt could pay for his textbooks, the following mathematical reasoning must be performed:
Mandatory books + optional books = Cost
342.5 + 65.25 = C
407.75 = C
Thus, Kurt could pay a total cost of $ 407.75 for his textbooks this quarter.
send helpp pleaseeeeee
Answer:
1. VR and TS
2. TS and RS
3. TV and RS
Step-by-step explanation:
Rewrite 10x - 5y = -30 in slope-intercept form.
somebody help me wit dis
Answer:
y = 2x + 6
Step-by-step explanation:
10x - 5y = -30
-5y = -10x - 30
y = 2x + 6
PLS HELPP What is the volume of the larger rectangular prism in the figure?
A)
26 cm3
B)
28 cm3
C)
80 cm3
D)
108 cm3
Answer:
80.
Step-by-step explanation:
I've seen this question before and got it right. It's really simple. One of the other questions is what is the total volume and its 108. The smaller one is 28. You just add them up and get 108.
List three solutions to the following equation: 2x + 4y = 24 Please remember to write your answers in the correct (x,y) format.
Answer:
(-4,8)
(12,0)
(4,4)
Step-by-step explanation:
graph it
Shawna went shopping at the thrift store yesterday and came home with 12 items and she only spent $31.50. She only got shirts and pants. If each shirt cost $2 and each pair of pants cost $3.50, which system of equations would represent this situation?
Whoever answers 5 first gets brainliest
The formula for compound interest is:
Where:
A = the future value of the investment (including interest)
P = the principal investment amount (the initial deposit amount)
r = the annual interest rate (decimal)
n = the number of times that interest is compounded per year
t = the number of years the money is invested for
If Josh invests $500 in a 5-year fixed interest savings bond that pays 5% per annum, how much will his entire investment be worth at the end of the term?
Answer:
Future value, A = $642
Step-by-step explanation:
Given the following data;
Principal = $500
Interest rate = 5% = 5/100 = 0.05
Time, t = 5 years
n = 365
To find the future value, we would use the compound interest formula;
[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]
Where;
A is the future value.
P is the principal or starting amount.
r is annual interest rate.
n is the number of times the interest is compounded in a year.
t is the number of years for the compound interest.
Substituting into the equation, we have;
[tex] A = 500(1 + \frac{0.05}{365})^{365*5}[/tex]
[tex] A = 500(1 + 0.000137)^{1825}[/tex]
[tex] A = 500(1.000137)^{1825}[/tex]
[tex] A = 500*1.2840 [/tex]
Future value, A = $642
Can someone help quick please
Answer:
PC = 4 cm
Step-by-step explanation:
AP = 4 cm
Because AB = BC, PB = PB, and we know that angle PBA = 90 degrees: triangle PBA is congruent to triangle PBC by the Side-Angle-Side theorem.
PC = AP because corresponding parts of congruent triangles are congruent.
Jamie collected some data on students' average grades and the average number of hours they spend playing video games and found there was a weak negative correlation. Which r value is most likely for this data?
Answer:
g
Step-by-step explanation:
gggg
Answer:
r=-0.23684
Step-by-step explanation:
Please help i will give branliest!!!
Answer:b
Step-by-step explanation:
3.5*5*.5=8.75
HELP PLEASE IT'S DUE
Answer:
1) no solution
2) no solution
Step-by-step explanation:
7(2 + 5v) = 3v +14
14 + 35v = 3v + 14
The 14s cancel each other out.
35v ≠ 3v
no solution
36 - 7p = -7(p - 5)
36 - 7p = -7p + 35
The -7s cancel each other out.
36 ≠ 35
no solution
Somebody help me with this?
Answer:
2
Step-by-step explanation:
The solutions of a quadratic graph are the x-intercepts. As you can see from the graph, the only place that it intercepts the x axis is at 2, so the solution is 2.
A box contains 57 red marbles, 40 white marbles, and 70 blue marbles.
If a marble is randomly selected from the box, what is the probability that it is blue? Express your answer as a simplified fraction or a decimal
rounded to four decimal places.
What's the probability of the compound event for. A bag contains 4 red, 8 blue, 6 yellow and 2 green marbles. Maria selects a marble, puts it back and then selects a second marble. P (blue, red)
Given:
Number of red marbles = 4
Number of blue marbles = 8
Number of yellow marbles = 6
Number of green marbles = 2
To find:
The probability of getting a blue marble then a red marble, i.e., P(blue, red).
Solution:
Using the given information,
The total number of marbles = 4+8+6+2
= 20
Probability of getting a blue marble in first draw is
[tex]P(Blue)=\dfrac{\text{Number of blue marbles}}{\text{Total number of marbles}}[/tex]
[tex]P(Blue)=\dfrac{8}{20}[/tex]
[tex]P(Blue)=\dfrac{2}{5}[/tex]
Maria selects a marble, puts it back and then selects a second marble. It means the total number of marbles remains the same.
[tex]P(red)=\dfrac{\text{Number of red marbles}}{\text{Total number of marbles}}[/tex]
[tex]P(red)=\dfrac{4}{20}[/tex]
[tex]P(red)=\dfrac{1}{5}[/tex]
Now, the probability of getting a blue marble then a red marble is
[tex]P(blue,red)=\dfrac{2}{5}\times \dfrac{1}{5}[/tex]
[tex]P(blue,red)=\dfrac{2}{25}[/tex]
Therefore, the required probability P(blue, red) is [tex]\dfrac{2}{25}[/tex].
Y - 5= - (5 - y)
Does it have a solution?
Answer:
infanite
Step-by-step explanation:
What is the amplitude of 1-sin 2πx/3? Please explain.
Answer:
a=-1
b=[tex]\frac{2\pi }{3}[/tex]
c=0
d=0
Step-by-step explanation:
A home has a room with length 22 feet and width 25 ft.
Which dimensions could represent a scale model of the room?
O length = 6.5 in.; width = 7.5 in.
O length
= 11 in.; width = 12.5 in.
O length = 13 in.; width = 14 in.
O length = 17.6 in.; width = 19.5 in.
Answer:
O length = 11 inches width = 12.5 inches
Step-by-step explanation:
Reasoning There are 27 more green ca
in the parking lot. What percentage of
lot are green? What percent are black
hi 13% are black and 13% are green
By applying Pythagorean theorem to the sides of the right triangle, which has sides as a, b and c, where c is the
hypotenuse, we get
a.) c^2= a^2+ b^2
b.) c^2= a^2– b^2
c.) c^2= a^2 - b
d.) c^2= a^2+ b
=
[tex]c {}^{2} = a {}^{2} + b {}^{2} [/tex]
where,
[tex]c = hypotenuse[/tex]
[tex]a = perpendicular[/tex]
[tex]b = base[/tex]
Hope it helps
Geometry HELP PIC ADDED
1. v=
2.u=
3.u=
4.v=
Answer:
(No rounding done.)
1. 10
2. 14.1421
3. 8
4. 6.9282
Step-by-step explanation:
To find 1, you need to use tangent. Let's say the missing side is x. You need to use tan(45) = x/10 to be able to solve. If you don't know how to do that, you just need to multiply by 10 on both sides, that way the 10 cancels out and all you get is x. Tan(45) multiplied by 10 is 10.
Now, find 2 with sine. The equation is sin(45) = 10/x. First, you need to multiply both sides by x so you get 10 alone. Now, divide both sides by sin(45) to cancel out the left side and get the answer to 2. 10/sin(45) = 14.1421 (I don't know if you need to round).
To find 3, you need to use cosine. The equation would be cos(60) = 4/x. Again, multiply both sides by x to get 4 alone. Next, divide both sides by cos(60). 4/cos(60) is 8.
To find 4, you need to use sine again. The equation is sin(60) = x/8. Multiply both sides by 8, and there's your answer. 6.9282.
help help help help help pls
Answer:
3: 2 because for every 4 men there was 1 women so 4 + 1 = 5 and x 2 = 10 so thats the number of adults and since we multiplied by 2 we have to women
What is the multiplicative inverse of y?
9514 1404 393
Answer:
1/y
Step-by-step explanation:
The multiplicative inverse of an expression is its reciprocal. It is the value that, when multiplied by the original, give a product of 1 (the multiplicative identity element).
Here, that is ...
1/y
because (y)(1/y) = y/y = 1.
_____
Additional comment
Zero (0) does not have a multiplicative inverse.
u={1,2,3,4,5,6,7,8,9}
a={2,4,6,8}
b={3,6,9}
What is the set AUB?
Answer:
AUB = {2,3,4,6,8,9}
Step-by-step explanation:
The set u should not be included in set AUB
You are the manager of a firm that sells its product in a competitive market at a price of $48. Your firm's cost function is C = 60 + 2Q 2. Your firm's maximum profits are
Answer:
the correct answer is truly
Step-by-step explanation:
STOP CHEATING ON THID APP
PLEASE HELP!
Which figure has the smaller volume, the cone with a diameter of 7 in. and a height of 5 in. or the sphere with a diameter
of 5 in.?
A. Sphere
B. Cone
Answer:
(A) Sphere
Step-by-step explanation:
The sphere has a smaller volume.
Evan uses 1/3 of his tickets to ride the loop-d-loop. how many tickets does he use?
Answer: 1/3 of 24 tickets is 8
Step-by-step explanation:
1/3 of 24 is 8.
The way I usually find this is by multiplying different numbers by three and seeing if it equals (in this case) 24.
8 x 3 = 24
Because eight goes into twenty-four three times, eight is one-third of twenty-four.
Hope this helps✨