Answer:
4.5m/s
Step-by-step explanation:
4.5x40=180
180+150=330
400-330=70
70/34=2.05882352941
(2.05882352941x70)+(5.4x150)+(4.5x180)=1791.11764706
1791.11764706/400=4.47779411765
4.47779411765=4.5
4.5m/s
Answer:
Average speed = 3.9 m /s
Step-by-step explanation:
Total distance = 400m
First 150m = 5.4m/s
[tex]speed = \frac{distance}{time} \\\\time = \frac{distance}{speed} = \frac{150}{5.4} = 27.78 \ s[/tex]
Second part :
S = 4.5m/s for 40s
[tex]Distance = speed \times time = 4.5 \times 40 = 180 \ m[/tex]
Third part :
Remaining distance = 400 - 150 -180 = 70m
Time taken to cover it = 34s
[tex]speed = \frac{distance}{time} = \frac{70}{34} = 2.05 \[/tex]
Speed = 2.05m/s
Find average speed
[tex]Average\ speed = \frac{total \ distance }{total \ time \ taken } \\\\Average \ speed = \frac{400}{101.78} = 3.93 \ mps[/tex]
Round to 1 dp => average speed = 3.9m /s
The heights of students in a class are normally distributed with mean 63 inches and standard deviation 4 inches. Use the Empirical Rule to determine the interval that contains the middle 68% of the heights.
Answer:
The interval that contains the middle 68% of the heights is between 59 and 67 inches.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 63, standard deviation of 4.
The interval that contains the middle 68% of the heights.
By the Empirical rule, within 1 standard deviation of the mean. So
63 - 4 = 59
63 + 4 = 67
The interval that contains the middle 68% of the heights is between 59 and 67 inches.
-2(8-5) Distributive Property
Answer:
Step-by-step explanation:
- 2 ( 8 - 5 ) = ( - 2 x 8 ) - ( - 2 x 5)
= - 16 - ( - 10)
= - 16 + 10
= - 6
if u can answer all them correctly ill make a post for u and u can have all my coins just pls answer them all im begging
Answer: this is a continuation starting in number 4 (use the same steps as example 3)
Step-by-step explanation:
-12
45
-12
14
32
-2
5
Given that a*b = 2ab - 3b. Determine 2*(3*5)
Answer:
15
Problem:
Given that a*b = 2ab - 3b. Determine 2*(3*5)
Step-by-step explanation:
First we find 3*5 using rule a*b = 2ab - 3b.
3*5=2(3)(5)-3(5)
3*5=30-15
3*5=15
Now we are left with 2*15 in which we will still use the rule a*b=2ab-3b.
2*15=2(2)(15)-3(15)
2*15=60-45
2*15=15
Therefore, 2*(3*5)=15.
Share $200 between Alice and Brian in the ratio 3 : 5
Alice’s share .......……………………Brian’s share .......……………………
Answer:
Alice: $75
Brian: $125
Step-by-step explanation:
3 + 5 = 8
200 ÷ 8 = 25
25 × 3 = 75
25 × 5 = 125
I need help I’ll give u brainlest
Answer:
[tex]150[/tex] cubic centimeters
Step-by-step explanation:
Volume for triangular prism is [tex]V=\frac{1}{2} bhl[/tex]
[tex]V=\frac{1}{2}(6)(5)(10)[/tex]
[tex]V=\frac{1}{2} (300)[/tex]
[tex]V=150[/tex]
Hope this helps
Answer:
150 cubic centimeters
Step-by-step explanation:
The formula for the volume of a Triangular prism:
A=1/2*b*h*l
plug everything in
1/2*6*5*10=150 Cubic centimeters
Find all solutions to the equation.
sin x = square root of three divided by two.
Answer:
x = 60°
Step-by-step explanation:
Special Angles :
sin = opposite divided by hypotenuse
opposite of angle 60° is square root of three
hypotenuse is two
Answer:
x=60+k.360 or x =120+k.360
Step-by-step explanation:
[tex]sin x = \frac{ \sqrt{3} }{2 \\ ?} [/tex][tex]ref \: angle = 60 \\ x = 120+ k.360 \\ x = 60 + k360[/tex]k€zDetermine the number of solutions to the given system without graphing. 2x + y = 2 2x +y = 5
one solution
no solution
infinite number of solutions
9514 1404 393
Answer:
no solution
Step-by-step explanation:
The two lines are parallel, so do not intersect. There is no solution.
The regular price of color TV is $519.39. During a sale, Hill Tv is selling the Tv is selling the Tv for $421.91. Determine the percent decrease in the price of the Tv
A bank charges 12% simple interest p.a on cash loans to its clients. Titos has asked for a R10 000 loan amount and has promised to repay the loan over 4 years.. 1.4.Calculate the interest which Titos should pay for the loan? 1.1.5. Calculate the total amount tito must pay back after 4 years. 1.1.6. Give one reason why people loan money from banks?
Answer:
1.4. The interest Tito should pay would be R10000 * 12% = R1200 for his first year.
1.1.5. The total amount Tito must pay back after 4 years would be R10000 * (1 + 12%)^4 = R10000 * 1.57351936 = R15735.2 (cor. to 1 d. p.).
1.1.6. People loan money from banks due to financial troubles or to attain startup resources for a company or business venture.
Step-by-step explanation:
Hope this helped!
Answer:
4800
Explanation:
interest=principle × rate × time/100
interest=10000 ×12 × 4/100
interest= 480000/100
interest=4800
amount=interest+principle
amount=4800+10000
amount=14800
people loan money from banks because they need money at a particular point in time where they do not have it
find the square root of 20 1/4
Answer:
Step-by-step explanation:
[tex]20 \frac{1}{4} =\frac{80+1}{4} =\frac{81}{4} \\\sqrt{\frac{81}{4} } =\frac{9}{2} =4.5[/tex]
You are making your schedule for next semester. You have 14 choices for your math class, 12 choices for your English
class, 7 choices for your communications class, and 6 choices for your elective. How many different schedules are
possible?
There are
different schedules possible
asking how many combinations are possible is answered by the following expression:
[tex]14 \times 12 \times 7 \times 6[/tex]
the first step alone offers 14 choices, the second step offers 12 choices. so with these two choices alone there can be 168 different scenarios to choose one from. we just need to keep multiplying for the number of choices we got at each decision to get the number of possible outcomes/configurations
that is
7056
6272 is the answer.
By the fundamental principle of counting, there are
8 * 8 * 7 * 14 = 6272 schedules possible
6272
What is the fundamental principle of counting?In the above problem, we use the basic principle of counting to get the result. The principle of multiplication is that if event A can occur in different ways of x and another event B can occur in different ways of y, then there is an x × y way in which both events occur at the same time. is showing. If
events occur in different ways in m, followed by other events in different ways in n, the total number of events in the specified order is m × n. The basic principle of multiplication.
counts helps you make your choice based on the available choices. ..
Learn more about fundamental principle of counting here:https://brainly.com/question/10275154
#SPJ2
A cylinder with a radius of 3 cm and height h cm. If the volume is 75cm³ what is the value of h?
Answer:
h≈2.65cm
r Radius
3
cm
V Volume
75
cm³
Using the formula
V=πr2h
Solving forh
h=V
πr2=75
π·32≈2.65258cm
hope it's help ful
Which facts are true for the graph of the function below? Check all that apply.
Answer:
B.
C.
E.
F.
Step-by-step explanation:
A. no. any log(x) function is increasing. it says to what power I have to put the base to get x. and the bigger x, the bigger also that power number has to be. a log(x) increases much slower than x itself, but it increases.
B. any log(x) can only be calculated for positive x (and not 0).
C. of course. there are no gaps or breaks in a log(x) function. over time, with a growing x, we have to cover every possible y.
D. no. since (0,4) means x=0, this can't be true. as log(0) is power definition undefined (representing minus infinity).
E. yes. see A.
F. yes. for x=1 any log(x) function has to deliver 0 as functional value (to what power do I have to put my base to get 1 ? only base⁰ delivers 1. also 0.725⁰ = 1. therefore, (1,0) is a valid point on the graph.
Nếu cắt mặt cầu bởi một mặt phẳng chiếu đứng thì hình chiếu bằng của giao tuyến là:
Answer:
Im sorry I can't understand you
please help! (listing BRAINLIST and giving points) :)
Answer:
Tan B = 12/5
Sin B = 12/13
Cos B = 5/13
Step-by-step explanation:
sine B = opposite (12)/hypotenuse (13)
= 12/13
Cosine B = adjacent/hypotenuse
= 5/13
Tangent B = opposite/adjacent
= 12/5
Here is a picture that can always help you with the three trig ratios.
Pls Help! the question is down below
PLEASE HELPP!!!!
Find the probability that a randomly selected point within the circle falls in the white area. r= 4 cm 2.5 cm 3 cm 3 cm [? ]% Round to the nearest tenth of a percent.
Answer:
61.2%
Step-by-step explanation:
because i just did it and got it right
what is there constant variation of y=kx through (5,8)
The value of constant of variation "k" is
Solution:
Given that the direct variation is:
y = kx ----- eqn 1
Where "k" is the constant of variation
Given that the point is (5, 8)
To find the value of "k" , substitute (x, y) = (5, 8) in eqn 1
Thus the value of constant of variation "k" is k = 8/5 or 1.6
I hope this is correct and helps!
NO LINKS OR ANSWERING IF YOU DON'T KNOW!!!!
Determine the intervals where the value of f(x) is negative, when
f(x) = (x + 7)(2x - 3)(x - 5). Choose all that apply.
a. -∞ < x < -7
b. -7 < x < 3/2
c. 3/2 < x < 5
d. 5 < x < ∞
9514 1404 393
Answer:
a, c
Step-by-step explanation:
There are 3 linear factors, so the function is odd degree (cubic). The coefficients of x are all positive, so the function has the general shape of an increasing function, left-to-right. The three linear factors mean that the curve crosses the x-axis 3 times, changing sign each time.
The x-intercepts are the values of x that make the factors zero: -7, 3/2, 5. The shape of the function tells you it will be negative for x < -7. Between -7 and 3/2, it will be positive, since it changes sign at x=-7. It changes sign again at x=3/2, so will be negative for 3/2 < x < 5.
In short, the function will be negative at any point that has an odd number of function zeros to its right (taking multiplicity into account).
The function is negative on intervals (a) and (c).
Help please !!! I will mark brainlist!!
Answer:
x= -0.182 and +4
hope it helps
have a nice day
What is the range of this function?
Answer:
D. {-8, -5, 3, 7}
Step-by-step explanation:
__________
Find the area of the composite figure.
Answer:
25m²
Step-by-step explanation:
it might be helpful for you
Consider all four-digit numbers that can be made from the digits 0-8 (assume that numbers cannot start with 0). What is the probability of choosing a random number from this group that is less than or equal to 4000
Answer:
The probability is:
P = 0.375
Step-by-step explanation:
First, we need to find the total number of four-digit numbers that can be made with the digits 0-8, such that the first digit can not be zero.
To do this, we first need to find the number of selections that we have, in this case, there are 4, one for each digit in our 4-digit number.
Now let's count the number of options that we have for each one of these selections:
first digit: we have 8 options (because the 0 can not be here)
second digit: we have 9 options (because now the zero can be taken)
third digit: we have 9 options
fourth digit: we have 9 options.
The total number of combinations is equal to the product of all the numbers of options, this is:
C = 8*9*9*9 = 5,832
Now we need to find how many of these are less or equal than 4000.
So now let's count the options again:
first digit: 3 options {1, 2, 3}
second digit: 9 options
third digit: 9 option
fourth digit: 9 options
Total number of combinations:
C' = 3*9*9*9 = 2,187
Here we should also count the combination for the number 4000 itself, as it was not counted in our previous calculation, then we have:
C' = 2,187 + 1 = 2,188 combinations.
The probability of randomly choosing a number that is smaller than or equal to 4000 will be equal to the quotient between the number of combinations that are smaller than or equal to 4000 (2,188 combinations) and the total number of combinations (5,832)
this is:
P = 2,188/5,832 = 0.375
Hello, please I bed urgent help with this math problem please
Answer:
option C
Step-by-step explanation:
[tex]4c^2 + 7c - 5 = 0 , \ where \ a = 4 , \ b = 7 , \ x = - 5[/tex]
[tex]c = \frac{- b \pm \sqrt{b^2 - 4ax }}{2a} \\\\c = \frac{- 7 \pm \sqrt{49 - ( 4 \times 4 \times - 5 )}}{2 \times 4} \\\\c = \frac{- 7 \pm \sqrt{49 + 80}}{8} \\\\c = \frac{- 7 \pm \sqrt{49 + 80}}{8} \\\\c = \frac{- 7 \pm \sqrt{129}}{8} \\\\[/tex]
Answer:
Option C
Step-by-step explanation:
Quadratic formula:
[tex]4c^{2} +7c-5=0[/tex]
[tex]a=4\\b=7\\x=-5[/tex]
[tex]c=\frac{-b\frac{+}{} \sqrt{b^2-4ax}}{2a}[/tex]
[tex]c=\frac{-7\frac{+}{}49-(4*4*-5) }{2*4}[/tex]
[tex]c=\frac{-7\frac{+}{}\sqrt{129} }{8}[/tex]
hope this helps....
- Reali za
Hallar los radicales semejantes y Reali
la operacioh matematica
5178x+y - 2xV507
Answer:fafdafadfaf
Step-by-step explanation:
Can :) mean happily taken on a bio? Alex got it on his?
Answer ASAPPPP
Someone
Answer:
Yes,
Step-by-step explanation:
When " :) " is used in a bio it means the person is happy
|x| =3 means that the distance between x and 0 is 3 / true or false
Answer:
True
Step-by-step explanation:
if |x| is 3 then x is either -3 or 3. Either way, the distance from 0 is 3.
Hole this helps! :)
The price of a 5-minute phone call is $1.75. What is the price of a 19-minute phone call?
Answer:
$6.65
Step-by-step explanation:
You could start by seeing the price of a 1 minute phone call. if you divide 1.75 by 5 it is 0.35. that means 1 minute costs $0.35. so the equation would be 0.35 times 19. which is 6.65 dollars.
5 minutes call = $1.75
1 minute call = $1.75/5 = $0.35
19 minutes call = $0.35 × 19 = $6.65
Find the surface area of a cylinder with radius 15 and height 4
Answer: A≈1790.71
Step-by-step explanation:
Answer:
1790.71
Step-by-step explanation:
You can just put this problem in search and it will you the answer