Answer:
t = 2,3
Step-by-step explanation:
s (t) = t^2 + 2 t + 5
p (t) = 11 + 3 t
A:
s (1) = 8
s (2) = 13
s (3) = 20
s (4) = 29
Now
[tex]t^2 + 2 t + 5 = 11 t + 3t \\\\t^2 - t - 6 = 0\\\\t^2 - 3 t - 2 t - 6 = 0 \\\\(t-2)(t-3)=0\\\\t = 2, 3[/tex]
(b) The values are same at t =2 an t =3.
There are 25 employees in a office.22 have cell phones 19 have cars, and 2 have niether. How many employees have both.
Answer:
18
Step-by-step explanation:
Let the number of employees with both cell and car be b. Using a Venn diagram shown above,
19 + 22 - b + 2 = 25
43 - b = 25
b = 18
A train travels from station P to station Q at a speed of 90km/h in 3hours 40minutes.The train stops at station Q for 25minutes before returns to station P.The time taken from station P to station Q.Calculate the average speed,in km/h,of the whole journey of the train
Answer:
48km hr this is the answer in your question.
Squares of Binomials
Please Help
In a survey of 24 pupils 1/3 liked football best 1/4 liked basketball,3/8 liked athletics and the rest liked swimming.How many liked swimming?
Answer:
[tex]24 \times \frac{1}{3} = \frac{24}{3} = 8[/tex]
8 pupils like football
[tex]24 \times \frac{1}{4} = \frac{24}{4} = 6[/tex]
6 pupils like basketball
[tex]24 \times \frac{3}{8} = \frac{72}{8} = 9[/tex]
9 pupils like athletics
and how many liked swimming?
8 + 9 + 6 = 23 pupils
24-23 = 1 pupils liked swimming
GOOD LUCK ツ
Cinco estudiantes tienen x canicas cada uno. Cuando reúnen todos sus canicas, la cantidad reunida es menor que 45
The inequality that represents the statement on the number of marbles that the students have is 5x < 45.
What inequality represents the situation?The five students have x marbles each. This means that they each have the same amount of marbles and to find the total sum, you need to multiple this number by 5:
= 5x
This total is less than 45 however so the inequality will be:
(5 × x ) < 45
5x < 45
Find out more on inequalities at https://brainly.com/question/2501321.
#SPJ1
what is 888 + 48 ? pleaaaase
Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points, to the nearest tenth (if necessary).
(8,6) and (5,9)
Answer: 69, -69
Step-by-step explanation:
it is easy buddy not lies
For 12-15, find the missing measures
Answer:
12. d= 14, C=14π, A=49π
13. r= 13, d=26, A=169π
14. r=9, C=18π, A=81π
15. r=10, d=20, C=20π
Step-by-step explanation:
If
R = (5+T)P/3
then what is p?
Answer:
Step-by-step explanation:
R = (5+T)P/3
3R = (5+T)P
3R/ (5+T) = P
[tex]P = \frac{3R}{(5+T) }[/tex]
solve the following simultaneous linear equations by the substitution method.
3x + 4y = 1
2x + 3y = 1
[tex]\displaystyle\bf \left \{ {{3x+4y=1} \atop {2x+3y=1}} \right. => \left \{ {{x=\frac{1-4y}{3} } \atop {2x+3y=1}} \right. => \\\\\\2\cdot\frac{1-4y}{3} +3y=1\: |\times3\\\\2-8y+9y=3\\\\y+2=3\\\\y=1 \;;\:x=(1-4y):3=-1\\\\\\Answer: (-1;1)[/tex]
If 'a' is a number lying between 0 and 1. then which of the following is in increasing order? a) a², a, √a b) a √a ,a² c) a²,√a,a d) a, a², √a
Hello,
[tex]0\leq a\leq 1 \Longrightarrow 0*a\leq a*a\leq 1*a \Longrightarrow 0 \leq a^2 \leq a\\\\0\leq a^2\leq a \Longrightarrow \sqrt{0} \leq \sqrt{a^2} \leq \sqrt{a} \\\\The\ function\ y=x^2\ is\ increasing\\\\Answer A\\\\ex: a=0.5 \\\\a^2=0.25\\\\\sqrt{a}=\dfrac{\sqrt{2}}{2}\approx{0.7071...}\\\\and\ 0.25\leq 0.5 \leq 0.7071...[/tex]
Iff a projectile has a maximum range of 40 metres , find its speed of projection . ([tex]g = 10ms^-^2[/tex])
.[tex]0.5 ms^-^1\\2ms^-^1\\\\4ms^-^1\\\\20ms^-^1\\\\400ms^-^1[/tex]
its speed of projection is 20 ms^(-1)
Answer:
Solution given:
maximum range=40m
u²sin90°/g=40
u²*sin90°/10=40
u²=40*10
u=[tex]\sqrt{400}=20m/s[/tex]
Solve for 0 or x, round to the nearest tenth.
Answer:
theta = 44.4 degrees
Step-by-step explanation:
Since this is a right triangle, we can use trig formulas
cos theta = opposite/ hypotenuse
cos theta = 15/21
Take the inverse of each side
cos^ -1 (cos theta) = cos ^-1 (15/21)
theta =44.4153086
theta = 44.4 degrees
If the endpoints of AB are located at (0,7) and (8,8) what is the length of AB?
Answer:
√65
Step-by-step explanation:
The distance formula can be represented as
[tex]\sqrt{(x_{2} -x_1)^2 + (y_2-y_1)^2}[/tex]
Taking (8,8) as (x₂, y₂) and (0,7) as (x₁, y₁), we have
[tex]\sqrt{(8 -0)^2 + (8-7)^2}\\= \sqrt{8^2 + 1^2}\\= \sqrt{65}[/tex]
as our answer
Find each measure
Please help me
Answer:
11:90
12: 90
13: 90
14:90
15:180
16: 135
17:225
Step-by-step explanation:
I don't know if this is entirely true but I hope it helps
If f(x) = x+1 and g(x) =x^2, then gf(2) =
Answer:
g(f(2)) = 9
Step-by-step explanation:
Evaluate f(2) and substitute the value obtained into g(x)
f(2) = 2 + 1 = 3 , then
g(3) = 3² = 9
Answer:
9
Step-by-step explanation:
f(x)=x+1........(i)
g(x)= x^2......( ii ).
gf(2)........(III)
substitute f( 2) to ......(I)
f(2)=2+1
f(2)=3
gx=gf(2)
gf(2)= 3^2
=9
Can somebody help me please?!!
Answer:
Step-by-step explanation:
Hello pls help
Find the volume of this sphere.
Use 3 for 7T.
2 ft
V~ [?]ft
V = 3
Answer:
volume of the sphere=4/3πr³
=4/3×3×2³
=32 feet³
Answer:
32 ft³
Step-by-step explanation:
Hi there!
[tex]V=\frac{4}{3} \pi r^3[/tex] where r is the radius
Plug in the given radius, 2 ft
[tex]V=\frac{4}{3} \pi (2)^3[/tex]
Plug in the given value of π, 3
[tex]V=\frac{4}{3} (3) (2)^3\\V=\frac{4}{3} (3) (8)\\V=(4)(8)\\V=32[/tex]
Therefore, the volume of the sphere is 32 ft³.
I hope this helps!
which statements are true about the target function? Check all that apply.
tan(PAB) = y/x
tan(APB) = x/y
tan(PAB) = sin(PAB)/cos(PAB)
tan(PAB) = cos(PAB)/sin(PAB)
tan(PAB) = PB/AB
Answer:
A, B, C, E.
Step-by-step explanation:
.
1+1+1+5+1+1+4+5+10+1LL pop
Answer:
The answer should be 30. I don’t know if those letters are apart of it but it’s 30.
-10ab(13c) what is the answer
Answer:
Answer:[tex]13c = 65 \ \ c = \frac{65}{13} \ \ c = 5[/tex] More
A batch consists of 12 defective coils and 88 good ones. Find the probability of getting two good coils when two coils are randomly selected if the first selection is replaced before the second is made.
Answer:
0.7744 = 77.44% probability of getting two good coils when two coils are randomly selected
Step-by-step explanation:
For each coil, there are only two possible outcomes. Either it is good, or it is not. Since the coil taken is replaced, the probability of choosing a good coil on a trial is independent of any other trial, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
88 out of 100 are good:
This means that [tex]\pi = \frac{88}{100} = 0.88[/tex]
Find the probability of getting two good coils when two coils are randomly selected.
This is P(X = 2) when n = 2. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{2,2}.(0.88)^{2}.(0.12)^{0} = 0.7744[/tex]
0.7744 = 77.44% probability of getting two good coils when two coils are randomly selected
How do you calculate 3x-9y?
Answer: 3(x-3y)
Step-by-step explanation: first you have to take the 3x and split it up so it can make 3(x-3y) then you have to rewrite it to -9 as 3x3 and then factor out common term 3 which would be your final answer 3(x-3y)
Round 7874 to the nearest 100
Answer:
7900 is the round off to the nearest hundred
Can someone help with this please & thank you It’s due tomorrow
Answer:
[11] x = 3
[12] x = 37
[13] x = 1.2
[14] x = 62
Find f(-3) if f(x) = x^2
6
-9
9
-6
Answer:
B. -9
Step-by-step explanation:
The equation would be f(-3)=-3^2
3*3 is 9
Add the - back on, and you get -9
I hope this helps!
Heya Kitties! Can someone answer this for me?
3⋅2−1(−10)−3+12?
Thanks!
Answer:
the answer of the above question is -1.2
Apparently I'm supposed to do one at a time so here we go again
Mary wants to send some packages to her uncle. It costs her $25 to send 5 packages through a certain shipping company. Consider the number of packages per dollar. Write an equation to represent the relationship.
Answer:
25 divided by 5 equals 5
it cost 5 dollars per package
Hope This Helps!!!
2x+y=8
x+y=4
Where do they intersect at?
Answer:
[tex]{ \bf{2x + y = 8 - - - (a)}} \\ { \bf{x + y = 4 - - - (b)}} \\ a - b : \\ x = 4 \\ 4 + y = 4 \\ y = 0 \\ { \tt{they \: intersect \: at \: (4, \: 0)}}[/tex]
