Answer: Sum is 51360
Step-by-step explanation: I have heard same legend and it is also told in hih school math books.
There are 160 pairs numbers which sum is 321, also (320 +1) + (319+2) + ... + (160 + 161). So sum is 160·321
With sales tax, it costs $707 to buy a $700 dining room table. What is the sales tax
percentage?
Write your answer using a percent sign (%).
Answer:
1%
Step-by-step explanation:
707-700=7 tax
700 x tax percentage=7
tax percentage =7/700
Tax percentage= .01 0r 1%
What is the nth term rule of the linear sequence below?
22
,
18
,
14
,
10
,
6
,
.
.
.
Answer:
tn=a+(n-1)d
tn=22+(n-1)4
tn=22+4n-4
tn=4n+18
Find the circumference of a circle with diameter,
d
= 6cm.
Give your answer in terms of
π
.
Answer:
6π cm
Step-by-step explanation:
Special Right Triangles
Guided Practice
Find the values of x and y.
A. x=30, y=10V3
B. x= 10, y=30V3
C. x= 30 V3, y=10
D. x=10V3, y=30
y
30°
2013
Need help ASAP
Answer:
A.
x = 30
y = 10√3
Step-by-step explanation:
Reference angle = 30°
Opposite = y
Adjacent = x
Hypotenuse = 20√3
✔️To find x, apply CAH:
Cos 30 = Adj/Hyp
Cos 30 = x/20√3
20√3 × Cos 30 = x
20√3 × √3/2 = x (cos 30 = √3/2)
(20√3 × √3)/2 = x
(20 × 3)/2 = x
60/2 = x
30 = x
x = 30
✔️To find y, apply SOH:
Sin 30 = Opp/Hyp
Sin 30 = y/20√3
20√3 × Sin 30 = y
20√3 × ½ = y (sin 30 = ½)
(20√3 × 1)/2 = y
(20√3)/2 = y
10√3 = y
y = 10√3
. Chad's pay rate for babysitting is y = 9x, where x is the number of hours he babysits, and y is the number of dollars he earns. Horatio's pay rate is shown in the graph below. Horatio's Babysitting Pay Rate. Which of the following statements is true? * HORATIO'S BABYSITTING PAY RATE 100 90 80 70 60 Dollars Earned (8.60) 50 40 30 20 10 (4, 30) 0 1 2 3 4 5 6 7 8 9 10 Hours A. Chad makes $1.00 more per hour than Horatio. O B. Chad makes $1.50 more per hour than Horatio. C. Chad makes $1.00 less per hour than Horatio. D. Chad makes $1.50 less per hour than Horatio.
Answer: Chad Makes $1.50 more
Step-by-step explanation:
You have to divide 30 from 4 to see Horatio’s hourly rate which is 7.5 and then you will see that 9 - 7.5 is 1.5. I hope this helped
Solve for x if ab ≠ 2c
[tex]x = \frac{ac + b}{2c - ab} [/tex]
Refer to the attachment for step by step explaination.
Answer:
[tex]x=\frac{b+ax}{2c-ba}[/tex]
Step-by-step explanation:
When given the following expression, one is asked to solve for (x):
[tex]\frac{2x-a}{b}=\frac{ax+1}{c}[/tex]
Use cross products to rid the variable in the denominator,
[tex]c(2x-a)=b(ax+1)[/tex]
Simplify, distribute, multiply every term in the parenthesis by the term outside of it,
[tex]2xc-ac=bax+b[/tex]
Inverse operations, collect all terms with variable (x) on one side of the equation:
[tex]2xc-ac = bax + b\\\\2xc - bax = b + ac[/tex]
Factor, remove a like term that exists in both of these expressions,
[tex]x(2c-ba)=b+ax[/tex]
Inverse operations,
[tex]x=\frac{b+ax}{2c-ba}[/tex]
What choices are equivalent to the quotient below ?
OPTION A , C,D
are the correct choices because all of them are equal to √5
Please help I will Mark if your right
Answer:
Line DC.
Step-by-step explanation:
Point D and Point C are not connected and, therefore, do not form a line.
Geometry
DC is not a line, due to it not being connected.
please answer this question.
Answer:
Solution given:
CD=18m
In ∆ ACD
Tan 35=opposite/adjacent
Tan 35=CD/AC
AC=18/Tan35
AC=25.7m
again
In ∆ BCD
Tan 60=opposite/adjacent
Tan 60=CD/BC
BC=18/tan60
BC=10.4
we have
AC=AB+BC
AB=25.7-10.4
AB=15.3
Distance between A and B point is 15.3 metre
A ball is thrown straight down from the top of a building at a velocity of 16 ft/s. The building is 480 feet tall, and the acceleration due to gravity is 32 ft/s2.
This problem can be represented using the following equation.
How much time will the ball take to reach the ground? (1/2)32t^2+16t=480
Answer:
Time, t = 5 seconds.
Step-by-step explanation:
Given the following data;
Initial velocity = 16 ft/s
Height = 480 ft
Acceleration due to gravity = 32 ft/s²
To find how much time it will take the ball to reach the ground, we would use the kinematic equation given by the formula;
[tex] d = V_{i}t + \frac {1}{2}at^{2} [/tex]
Where;
d is the displacement.Vi is the initial velocity.a is the acceleration or acceleration due to gravity.t is the time measured in seconds.Substituting into the equation, we have;
[tex] 480 = 16t + \frac {1}{2}*32t^{2} [/tex]
[tex] 480 = 16t + 16t^{2} [/tex]
Dividing all through by 16, we have;
[tex] 30 = t + t^{2} [/tex]
Re-arranging the quadratic equation, we have;
[tex] t^{2} + t - 30 = 0 [/tex]
We would solve the quadratic equation by factorization;
[tex] t^{2} + 6t - 5t - 30 = 0 [/tex]
[tex] t(t + 6) - 5(t + 6) = 0[/tex]
[tex] (t + 6)(t - 5) = 0 [/tex]
t = -6 or 5
Since we know time can't be negative, we would ignore the value of -6.
Therefore, time = 5 seconds
Si 3 alumnos inasistentes de un curso corresponde al 10%. ¿Cuántos alumnos tiene el curso?
a)13 b) 27 c) 30 d) 110
Question 1 of 10
A density curve for all the possible ages between 0 years and 25 years is in
the shape of a triangle. What is the height of the triangle?
A. 0.04
B. 0.08
C. 0.02
D. 0.16
Step-by-step explanation:
A density curve for all the possible ages between 0 years and 25 years on the shape of a triangle. 0.04
Describe (in words) the curves traced by particles moving in the xy-plane according to the parametric equations in (a–h). You do not have to draw the graphs yourself, but Desmos is still extremely helpful here (5t + 3, 2t − 6) with −2 ≤ t ≤ 3
Answer:
here we have:
x = 5*t + 3
y = 2*t - 6
both for -2 ≤ t ≤ 3
First, we can rewrite:
x = a*y + b
let's try to find the values of a and b.
5*t + 3 = a*(2*t - 6) + b
5*t + 3 = a*2*t + (b - 6*a)
Here we have two equations:
5 = a*2
3 = (b - 6*a)
from the first one, we can solve:
5/2 = a
replacing this into the second, we et:
3 = b - 6*(5/2)
3 = b - 15
3 + 15 = b = 18
Then:
x = (5/2)*y + 18
y = 2*t - 6
So, y is a linear equation that depends on the variable t
x is a linear equation that only depends on x (from this we already know that the graph will be a line)
and we know that −2 ≤ t ≤ 3
Then the minimum value of y is:
y = 2*(-2) - 6 = -10
and the largest value of y is:
y = 2*3 - 6 = 0
So y-varies in the range between -10 and 0
And because x = (5/2)*y + 18
The minimum value of x is:
x = (5/2)*-10 + 18 = -25 + 18 = -7
and the maximum value of x is:
x = (5/2)*0 + 18 = 18
Then we know that this line starts in the point (-10, -7) and ends in the point (0, 18)
Eric surveyed 40 students at his school and found that 0.65 of the students he surveyed said their favorite class is math. Another 35% of the students he surveyed reported that their favorite class is science. How many more students in the survey prefer math over science?
Answer:
12 students
Step-by-step explanation:
So we know that 65% of students prefer math over the 35% of students that prefer science.
To find the answer we have to change the percentages to decimals and multiply by 40, which is the total number of students.
Math: 65%=0.65 , so 0.65 times 40=26 students
Science:35%=0.35, so 0.35 times 40=14 students
To find the difference, subtract 26 and 14, to get 12.
All in all, twelve students prefer math over science.
Hope I helped, have a nice day :)
Answer:
Answer is 12 more students prefer math over science.
Step-by-step explanation:
For this question all you need to to is multiply the decimal or the percent by 40 to get the student ratio. So for the math. 40 * .65 = 26. So 26 students like math.
For the science we do 40*35% or if you want to write it decimal form 40*.35 = 14. Okay now we have both values all you need to do to get the difference is subtact 26-14= 12. 12 more students prefer math over science.
What is the probability of flipping a coin 8 times and getting heads 2 times? Round your answer to the nearest tenth of a percent. O A. 27.3% O B. 10.9% O C. 21.9% O D. 3.1% SUBMIT
Answer:
I have the same doubt so pls answer
Step-by-step explanation:
Answer: 10.9
Step-by-step explanation
Can you give the answers to these problems I let the pictures here (they are only two)
Answer:
Here's what I got
Step-by-step explanation:
(6n^2 - 6n - 5)(7n^2 + 6n - 5)
42n^4 - 6n^3 - 101n^2 + 25
(n^2 + 6n - 4)(2n - 4)
2n^3 + 8n^2 - 32n + 16
Which of these are polygons?
On
А
B
o
D
F
G
G
Answer:
B C and F
Step-by-step explanation:
Polygons are closed shaped with straight lines
D and E have curves therefore they cannot be classified as polygons
A is not closed therefore it A is not a polygon
B, C and F are closed and use only straight lines therefore those 3 are polygons
solve for x. round to the nearest tenth if necessary
9514 1404 393
Answer:
13.6
Step-by-step explanation:
The relevant trig relation is ...
Sin = Opposite/Hypotenuse
sin(29°) = 6.6/x
x = 6.6/sin(29°) . . . . . . multiply by x/sin(29°)
x ≈ 13.6
Answer:
X= 13.6Step-by-step explanation:
hope it helps much
Hawkeye Elementary School is having a raffle for students who are in sports. The school leaders are voting to choose between the two options below.
i. Option 1: Raffle off two items and include all boys and girls in each raffle.
ii. Option 2: Have a separate raffle for boys and a separate raffle for girls.
Not in sports In sports Total
Girls 17 18 35
Boys 17 21 38
Total 34 39 73
Required:
If you get to vote and you have a daughter in sports, which option would you vote for and why?
Answer:
The answer is "0.052 and 0.056".
Step-by-step explanation:
For option 1:
Your daughter's opportunity (in sport) (when a person only wins once)
[tex]\to \frac{1}{39}+\frac{1}{38}\\\\ \to \frac{38+39}{1,482} \\\\\to \frac{38+39}{1,482} \\\\\to 0.052[/tex]
For option 2:
Your daughter would win a chance (in sport) [tex]= \frac{1}{18} = 0.056[/tex]
So a little better, the second option. The rationale is that there are fewer girls than boys so if a lottery in a smaller group is awarded you are more likely to win.
This graph shows the cost of a small cheese pizza at 3 different restaurants. a) explain how the size of the bars gives a false impression about the cost of the pizza at different restaurants.
I would answer, but I don’t see the graph. If you add the graph I could help (if you want of course, not trying to be rude. Sorry!)
PLEASE HELP
Does anybody remember that game people used to play as kids on the computers. When I was in 1st grade there would be this game where I placed like a number or something and then a circle or stuff would be drawn. If you know that game pls tell me.
Answer:
ABC ya?
Step-by-step explanation:
I think its in a minigame
Which situation would be represented with the integer -72? Select all that apply.
A hike of 72 feet.
A gain of 72 yards, but a loss of 72 yards, ending back at 0.
A withdrawal of 72 dollars.
A height of 72 inches.
A depth of 72 feet.
HELP THIS IS THE LAST TEST OF THE YEAR PLZ HELPP QUICK!!
Answer:
A withdrawal of 72 dollars & E) a depth of 72 feet
Step-by-step explanation:
It is negative, which means subtract. So we will take away 72 dollars.
A depth of 72 feet is also negative since we are going down.
Which of the following is geometric sequence
A. 1,1/2,1/4,1/8
B.2,4,6,8
C.1,1,2,3,5
D.7,4,1,-2
Answer:
A
Step-by-step explanation:
...................
Answer:
here's the whole unit test
Step-by-step explanation:
ur welcomeeeee ;)
What combination of variables could you analyze using correlation?
religious identification & life satisfaction
IQ score and annual income
ethnic identification & average # of children
preferred genre of music & age
Answer:
YOu have to add them i think
Step-by-step explanation:
First add the 3-4 and then finish it
Which drawing wouldn’t be useful to find the area of this trapezoid? and why ?
Answer:
C
Step-by-step explanation:
Though you may think that u can change that piece to there, but the possibility is very less
I Need Help With This Don’t Seem To Understand 8
IT
Answer:
44.402
Step-by-step explanation:
Equation
SA = 2L*W + 2L*H + 2*WH
Givens
L = 2.7
W=1.13
H = 5
Solution
LW = 2.7 * 1.13 = 3.051
LH = 2.7 * 5 = 13.5
WH = 1.13 * 5 = 5.65
SA = 2*3.051 + 2*13.5 + 2*5.65
SA = 6.102 + 27 + 11.3
SA = 44.402
Solve tan(x+π2)+tan(x−π2)=2 for 0≤x<2π
In the interval 0≤x <π, the solution is
Answer:
[tex]x = \pi \div 4 [/tex]
Which expression is equivalent to 14x^8y^10
Answer:
The answer for this problem is 2xy^6 * 7x^7y^4 (C).
An electronics firm claims that the proportion of defective units of a certain process is 5%. A buyer has a standard procedure of inspecting 15 units selected randomly from a large lot. On a particular occasion, the bury found 5 items defective. a) What is the probability of this occurrence, given that the claim of 5% defective is correct
Answer:
0.0006 = 0.06% probability of this occurrence
Step-by-step explanation:
For each unit, there are only two possible outcomes. Either it is defective, or it is not. The probability of an unit being defective is independent of any other unit, 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.
An electronics firm claims that the proportion of defective units of a certain process is 5%.
This means that [tex]p = 0.05[/tex]
A buyer has a standard procedure of inspecting 15 units selected randomly from a large lot.
This means that [tex]n = 15[/tex]
a) What is the probability of this occurrence?
Probability of 5 defective items, whch is P(X = 5). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{15,5}.(0.05)^{5}.(0.95)^{10} = 0.0006[/tex]
0.0006 = 0.06% probability of this occurrence
5c + 40 + 2 and 5c + 2(2c + 1)
Answer:
5c + 42 and 9c + 2
Step-by-step explanation:
if a number has a variable next to it then it cannot be combined with a number that is alone.. Therefore there is no exact answer unless the variable has a number that you can replace it with. So basically numbers with the same number can be added together and numbers alone can be added together. If you do the math right then you should get the answer.
