Answer:
It is 124 degrees.
Step-by-step explanation:
You square each coordinate like this:
sqrt(x^2+y^2 )
You will end up getting sqrt(53 and sqrt(10.
Then find the dot product which is -6+-7=-13.
Then cos^-1(-13/sqrt53*sqrt10)
=124 degrees
A slot machine has 3 dials each dial has 30 positions one of which is jackpot. To win jackpot all three dials must be in jackpot position. Assuming each play spins the dials and stops each independently and randomly, what are the odds of one play winning the jackpot
Answer:
3/90
Step-by-step explanation:
1 slot is 1/30
2 slot is 1/30
3 slot is 1/30
this gives you that 3/90 when you had them
Answer:
D) 1/(30×30×30) = 1/27000 = 0.00003 or 0.003%
Step-by-step explanation:
David has a bank account which pays interest at the rate of 1.5% per year, compounded annually. Determine what amount David
must have in the bank, given that he would like to draw an annual salary of $32,635.15 from his account at the end of each year
for 30 years. Round to the nearest cent.
Answer: the amount that David must have in the bank is $783243.6
Step-by-step explanation:
We would apply the formula for determining present annuity. It is expressed as
PV = R[1 - (1 + r)^- n]r
Where
PV represents the present value of the investment.
R represents the regular payments made(could be weekly, monthly)
r = represents interest rate/number of interval payments.
n represents the total number of payments made.
From the information given,
r = 1.5/100 = 0.015
n = 30 years
R = $32,635.15
Therefore,
PV = 32635.15[1 - (1 + 0.015)^- 30]/0.015
PV = 32635.15[1 - (1.015)^- 30]/0.015
PV = 32635.15[1 - 0.64]/0.015
PV = 32635.15[0.36]/0.015
PV = 32635.15 × 24
PV = $783243.6
a. $783,760.48
on edgen
Jenny has saved $600 from her summer job. During the school year, she withdraws $20 from her account every week for her daily expenses. She
wants to keep more than $300 in the account for college. The number of weeks, w, that Jenny can withdraw money from her account is
represented by the inequality 600 – 20w> 300. How many weeks can Jenny continue to withdraw $20 from her account?
A.
14
B.
17
O C.
20
D.
22
Answer:
A
Step-by-step explanation:
since she wants to keep 300 in her account first you would subtract 300 from 600 to get 300. Then you would divide it by 20 to get 15 so your answer would be a because she want's to keep at least 300 in her account.
Evaluate 12 ➗(0.9 -0.04
Answer:
13.9534883721
Step-by-step explanation:
12/(0.9-0.04)=12/0.86=13.9534883721
Matt says 3/3 is equivalent to 1 is he correct?
Answer: Yes
Step-by-step explanation:
It isn't an
1 an improper fraction
Less than the denominator
Therefore, three thirds or 3/3 is one whole fraction
Rly hope I helped!
☆꧁Ashlin꧂☆
Answer:yes he his correct
Step-by-step explanation:
3/3=1
Which of the following is an example of a matched pairs design? A. A teacher calculates the average scores of students on a pair of tests and wishes to see if this average is larger than 80%. B. A teacher compares the pre-test and post-test scores of students. C. A teacher compares the scores of students using a computer based method of instruction with scores of other students using a traditional method of instruction. D. A teacher compares the scores of students in her class on a standardized test with the national average score.
Answer:
B. A teacher compares the pre-test and post-test scores of students
Step-by-step explanation:
the answer is true, because it is a good example to compare the tests between students, we know that a matching pair design is a random model and is used when the experiment allows grouping subjects in pairs based on a variable and each pair will receive randomly a different handling, the answer A is not true because in the example all students are uniformly averaged and the variable is not correlated with subgroups, option c is incorrect because the variable was not randomized and generates classification bias and the option d is incorrect because the teacher compares a small sample as her class with a score of a total sample, but does not intervene on her students when selecting the corresponding group
Matched pair design describes an experimental technique whereby subjects having certain variable or characteristic are paired or matched based on that variable, usually called the key variable. Hence, an example of a matched pair design is "a teacher compares the pre-test and post-test scores of students."
In these type of experimental design, the key or common variable pertinent to both matched subjects is of utmost importance. The only option where, the variable shared is common is the pretest and posttest scores. In the other options, comparing traditional and computer based instructions doesn't match ; similarly, standardized score and national average do not match perfectly.Hence, the most appropriate option is A.
Learn more : https://brainly.com/question/19445381
What is the surface area of the triangular prism? 10mm 6mm 16mm 12mm
Answer:it would help of you included a photo because the base is measured differently from the triangles
Step-by-step explanation:
Please help asap! Will give brainliest! Please read the question then answer correctly! No guessing.
Answer: A. (0,a)
[tex]f(x) = a \cdot b^x[/tex]
[tex]f(0) = a \cdot b^0 = a \cdot 1 = a[/tex]
Answer:
I think it's B, but I don't really know how to explain it. Please rate this answer 5 stars if it is correct.
Step-by-step explanation:
Convert kg into dg
1) 0.089kg
2) 0.0659 kg
Answer:
?/????????
Step-by-step explanation:
Answer:
Question 1: 890dg
Question2: 659dg
Step-by-step explanation:
1kg=10000dg
Question 1:
0.089kg=0.089 x 10000=890
0.089kg=890dg
Question 2:
0.0659kg=0.0659 x 10000=659
0.0659kg=659dg
Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
C. (x + 8) (x + 7)
Step-by-step explanation:
To factor this trinomial, you must split the middle term (15x) into two terms that can be added to get 15x, and multiplied to get 56:
[tex]x^2 + 15x + 56[/tex]
[tex]x^2 + 7x + 8x + 56[/tex]
Group:
[tex](x^2 + 7x) (8x + 56)[/tex]
Take out the GCF (Greatest Common Factor):
x(x + 7) 8(x + 7)
(x + 8) (x + 7)
Identify two ways that native Americans resisted being relocated
Answer:
Tortured and kidnapped white colonists, and some started wars.
what is the equation of the line in slope-intercept form?
Answer:
y = 5x
Step-by-step explanation:
Slope intercept form is y = mx + b
m is the slope
m = 5 on this graph
b is the y intercept which is 0 on this graph
given h(x)=-2x+5, find h(-6)
This question is easy! it's simply asking to plug in -6 instead of the variable x.
h(-6)=-2(-6)+5
=12+5
=17
17 is your final answer.
What’s the correct answer for this?
Answer:
c
Step-by-step explanation:
NEED HELP NOW!! PLEASE
A baseball diamond is a square with sides of 90 feet. What is the distance, to the nearest tenth of a foot, between home and second base?
what is 2 in 0.812 as a fraction
Answer:
Step-by-step explanation:
That'd be 0.002, or 2/1000.
Do you remember the difference between a row and a column
in Math?
Answer:
Rows are the steps - they go left to right and are numbered 1,2,3,... Columns are the columns - they go up and down and are lettered A,B,C,... Cells are defined by the row and column they are in.
Step-by-step explanation:
GUYS I NEED HELP ASAP
A rectangular playground is 40 feet wide. Find the area of this playground, if the fence around it, including the gates, is 200 feet long.
Answer:
[tex]A=2400ft[/tex]
Step-by-step explanation:
A rectangle is a closed planer quadrilateral with four right angles and its opposite sides are the same length. The fence around it including the gates is 200 feet long, so basically they are providing the perimeter of the rectangle. The perimeter of a rectangle is equal to the sum of all its sides. Hence:
[tex]Perimeter=w+h+w+h=2w+2h\\\\Where:\\\\w=Width\\h=Height[/tex]
The ectangular playground is 40 feet wide, so:
[tex]w=40ft[/tex]
Therefore:
[tex]Perimeter=2w+2h\\\\200=2(40)+2h\\\\200=80+2h[/tex]
Solving for h:
[tex]2h=200-80\\\\2h=120\\\\h=\frac{120}{2} \\\\h=60ft[/tex]
The area of a rectangle is equal to the product of two of its contiguous sides, hence:
[tex]A=wh\\\\A=(40)(60)=2400ft[/tex]
I attached you a picture of the rectangle
The height of a triangle is 18 inches. Find the length of the base if the area of the triangle is 63 square inches
Answer:
7 inches
Step-by-step explanation:
The area of a triangle is found by
A = 1/2 bh
We know the height is 18 and the area is 63
63 = 1/2 (b)(18)
63 = 9b
Divide each side by 9
63/9 = 9b/9
7 = b
The base is 7 inches
Answer:
7 inches
Step-by-step explanation:
Area = ½ base × height
63 = ½ × base × 18
63 = 9 × base
base = 7 inches
Determina el valor que debe tomar el parámetro m para que el polinomio P(x) = 5x3 − 2x2 + mx − 3 cumpla que P(2) = 3
Answer:
x
Step-by-step explanation:
Answer:
Step-by-step explanation:
What is the reason that supports the statement made on line 5?
Answer:
V is given to be midpoint of WZ and XY
=> WV = VZ and XV = VY (1)
As opposite angles,
=> WVX = ZVY (2)
From (1) and (2), then
Triangle WXV = Triangle ZYV (SAS)
=> Option SAS is correct.
Hope this helps!
:)
Answer:
SAS
Step-by-step explanation:
Since we know that lengths XV & YV and WV & ZV are equal, angle the angle between these corresponding lengths is also equal (Angle V) we can conclude that the two triangles are congruent by SAS postulate
complete the recursive formula of the geometric sequence 0.2,-1,5,-25
Answer:
s[1] = 0.2; s[n] = -5·s[n-1]
Step-by-step explanation:
To write a recursive formula, you need to know how a given term relates to the ones before it. Here, each term is -5 times the one before. So part of the formula is ...
s[n] = -5·s[n-1]
The other part of a recursive formula is the part that tells the initial values necessary to make this recursive function work. Here, one initial value is needed. We know that the first term is 0.2, so that's what we need to say:
s[1] = 0.2
__
The recursive formula is ...
s[1] = 0.2s[n] = -5·s[n-1]Answer:
0.2
-5
Step-by-step explanation:
Ellis is 6 feet tall. If she currently has a 4 foot shadow, what angle are the sunrays making with the ground? Round decimal to the nearest hundredth.
Answer:
19.70
Step-by-step explanation:
For this case we have the following trigonometric relationship:
Tan (x) = (4/6)
Clearing the angle we have:
x = Atan (4/6)
x = 19.77
Rounding off we have:
x = 19.70 degrees
Select the closest answer. *
20 points
1. Find the surface area of a sphere with a radius of 4.2 centimeters.
A. 235.6 cm?
C. 121.4 cm
B. 310.3 cm
D. 221.7 cm
A
B
С
OD
Select the closest answer.
Answer:
D. 221.7 cm
Step-by-step explanation:
Surface area of a sphere is: [tex]SA=4\pi r^2[/tex]
'r' - radius
We are given the radius of 4.2 centimetres.
[tex]SA=4\pi 4.2^2\\4 * \pi * 4.2^2\\\rightarrow 4.2^2 =17.64\\\text {Using 3.14 for pi: }\\4 * 3.14 *17.64\\12.56*17.64\\\boxed {221.5584}[/tex]
221.5584 ≈ 221.6
The closest answer is Option D, therefore it should be the correct answer.
A yearbook staff has 30 members. In how many different ways can an editor, photographer, designer, and advisor be selected?
Answer: 657,720
Step-by-step explanation:
If each person can have only one role, we have that:
For the Editor selection we have 30 possible options
for the pothograper we have 29 options, because we already selected one
for the designer we have 28 options
for the advisor we have 27 options
the total number of combinations is the product of the options for each selection;
C = 30*29*28*27 = 657,720
I need help on this one
Answer:
the fourth answer is prime.
Step-by-step explanation:
in order to break down a 4 term polynomial, create groups of the polynomials. seperate each in 2 group. then, fine the greatest common fastor of each group that are in parenthesis.It was easy to break the first three. the last one however, was hard to break apart because in the second group, you cant find the greatest common factor between -x and 2. So the bottom one is prime
Please help ASAP! I will mark BRAINLIEST!! Please answer correctly! No guessing!
Answer:
exponential decay...................
Answer:
exponential decay
Step-by-step explanation:
If the amount is 1/2 every half hour, it is getting smaller, so it is decreasing, leaving choices a and b
We start with 100 items
100, 50 ,25, 12.5
this is not linear so it must be exponential decay
A father and a son are preparing for a jog on the beach. They both leave from the same lifeguard station and begin running in opposite
directions. The son runs at a speed of 8.1 mph, and the father at 6.3 mph.
How many hours will have elapsed when the father and his son are 20.16 miles apart?
Answer:
1.4 hours have elapsed when the father and his son are 20.16 miles apart
Step-by-step explanation:
The son runs at a speed of 8.1 mph.
The father runs at a speed of 6.3 mph.
They run in opposite directions, so per hour, their distance increases at the rate of 8.1 + 6.3 = 14.4 mph.
How many hours will have elapsed when the father and his son are 20.16 miles apart?
Rule of 3.
1 h - 14.4 miles
x h - 20.16 miles
[tex]14.4x = 20.16[/tex]
[tex]x = \frac{20.16}{14.4}[/tex]
[tex]x = 1.4[/tex]
1.4 hours have elapsed when the father and his son are 20.16 miles apart
Round 78500 to the nearest thousand. Enter your answer in the box below
without a comma.
Answer:
79000
Step-by-step explanation:
The 8 is in the thousands place. We look at the hundreds place
5 is in hundreds place. It is 5 or greater so we round up
The 8 becomes a 9
78500 becomes 79000
There are 12 chocolate in a box,3 white,4 milk and the rest dark chocolates.What is the probability that Lily first chooses a dark chocolate from the box
Answer:
5/12
Step-by-step explanation:
Total chocolate=12
White=3
Milk=4
Dark=x
White+milk+dark=3+4+x
=7+x
12=7+x
x=12-7
x=5
Therefore,
Dark=5
Probability that Lily first chooses a dark chocolate from the box= No. Of dark chocolate/Total no. Of chocolate
=5/12
