Answer:
hope this will help you (•‿•)
Step-by-step explanation:
[tex]for \: 1st \: qn \: \\ let \: the \: angle \: be \gamma \\ \cos( \beta ) = \frac{b}{p} \\ \cos( \beta ) = \frac{16}{34} \\ \beta = \cos {}^{ - 1} ( { 0.470}^{ } ) \\ \beta = 61.965 \\ for \: 2nd \: qn \\ let \: the \: angle \: be \: \alpha \\ \tan( \alpha ) = \frac{p}{b} \\ \tan( \alpha ) = \frac{20}{15} \\ \alpha = \tan {}^{ - 1} (1.33) \\ \alpha = 53.061[/tex]
find the dot product of the pair of vectors and determine whether they are normal. (4,-3) and (-3,-4)
Answer:
normal
Step-by-step explanation:
Dot Product of Vectors
Multiply x-values with x-values and same for the y-values4(-3) + (-3)(-4)-12 + 120As the dot product of the vectors equals 0, the vectors are normal.
Envision Math 4th grade topic 16-1
A scanner scanned 72 photos in 8 minutes. If it scans photos at a constant rate, it can scan ___ photos in 23 minutes.
Answer:207
Step-by-step explanation:
First divide 72/8 to find how many photos the scanner scans per minute which is 9
Then you multiply 9 by 23 = 207
Synthetic Division to Find Zeros (Lev 1)
May 25, 1:20:18 PM
Watch help video
If ƒ(x) = x³ – 11x² + 26x — 16 and x – 1 is a factor of f(x), then find all of zeros
PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:1,024
Step-by-step explanation:
We will use the formula hint it gives:
[tex]\displaystyle {1^{st}\;term} * \text{common ratio}\,^{(\text{desired term -1})}[/tex]
[tex]-1 * -4^{6-1}[/tex]
[tex]-1 * -4^{5}[/tex]
[tex]-1*-1,024[/tex]
[tex]1,024[/tex]
The 6th term in the sequence is 1,024.
What is the value of x in this figure?
O x= 30
O x = 40
O x = 60
O I don't know.
Answer:
i guess you know its 40 now. :p
Step-by-step explanation:
#83 will give brainliest with best response!
Answer:
[tex]\frac{31x-159}{168y}[/tex]
Step-by-step explanation:
[tex]\frac{x-4}{7y}[/tex] - [tex]\frac{x+7}{8y}[/tex] + [tex]\frac{x+3}{6y}[/tex]
the LCD of the denominators is 168y , then
[tex]\frac{24(x-4)-21(x+7)+28(x+3)}{168y}[/tex] ← distribute and simplify numerator
= [tex]\frac{24x-96-21y-147+28x+84}{168y}[/tex]
= [tex]\frac{31x-159}{168y}[/tex]
Answer:
[tex]\frac{31x - 159}{168y}[/tex]
Step-by-step explanation:
First we need to find a common denominator between 7y, 8y, and 6y. And the smallest common denominator is 336y, which I got by multiplying 7*8*6 and since they all share y, we can just keep the y without multiplying it.
Now, we need to multiply each fraction by the correct number on the top and bottom to reach 336. When we do this, we get [tex]\frac{x-4}{7y} (\frac{48}{48} ) - \frac{x+7}{8y}(\frac{42}{42}) + \frac{x+3}{6y}(\frac{56}{56})[/tex]. OMG. Well, now we need to expand the numerators...[tex]\frac{48x - 192}{336y} - \frac{42x + 294}{336y} + \frac{56x + 168}{336y} = \frac{62x - 318}{336y}[/tex]. Another OMG. But now we need to simplify...so we get [tex]\frac{31x - 159}{168y}[/tex]. Done.
Hope this helps! :)
A doctor wants to determine if a new medication for cholesterol is more effective than the previous medication. The doctor asks her patients if they would like to take part in a study for a new medication, and 30 patients currently taking medication for cholesterol volunteer to participate.
Which of the following would be an appropriate procedure for this experiment?
A)The doctor needs to randomly assign 15 patients to the new medication and 15 to the original medication to even out the variability between the patients.
B)The doctor needs to assign the first 15 patients to the new medication and 15 to the original medication to even out the variability between patients.
C)The doctor needs to let the 30 patients choose which medication they are going to take through use of a survey to determine whether they want to participate in the experiment.
D) The doctor needs to randomly assign the 30 patients to the new medication to even out the variability between the patients and to determine if their cholesterol level is lowered.
Answer:
B)The doctor needs to assign the first 15 patients to the new medication and 15 to the original medication to even out the variability between patients.
OR
D) The doctor needs to randomly assign the 30 patients to the new medication to even out the variability between the patients and to determine if their cholesterol level is lowered.
You have a job that pays $25.00 for each day you show up, plus $19.00 per hour. Which expression shows the amount you make in one day if you work for h hours?
H E L P PLEASE ASAP
Answer:
19.00 x h + 25.00 =
What you make in a day if you work for h hours.
Step-by-step explanation:
You automatically make $25.00 when you show up.
So the equation is asking for how many hours. If you get $19 per hour
then it would be $19.00 x h (how many hours you worked) + $25.00.
Example:
If you worked for 5 hours and one day, then the equation would be
19.00 x 5= 95
95 + 25 (for showing up that day) = 120
So if you worked 5 hours for one day you would make 120
(This was just an example to further explain how the equation worked)
Hope this helped!
Have a great day!!
Nan wrote each letter in the word ILLINOIS on a separate slip of paper. She put
the slips in a bag. What is the probability of her drawing a slip that is labeled
with a vowel?
A 1/8
B. 218
C. 3/8
D. 4/8
E. 5/8
Answer:
D. 4/8
Step-by-step explanation:
To find probability, you simply divide what you are looking for over the total. In the word, ILLINOIS, you have 4 vowels, and 8 letters total, so the probability of finding a vowel would be 4/8.
please tell me the answer of the question please.
Answer:
total price = 100*80 = 8000
donated = 10 *80 = 800
sold = 90*88 = 7290
pofit = cp - sp
cp = 8000 sp = 7290
= 710
Step-by-step explanation:
solve the system of equations. {2y=6x
x^2+y=4
Answer: (1,3)and (-4,-12)
Step-by-step explanation:
The longest length of a sail on Jessica's sailboat is 12v40 feet long. Which number is equivalent to this length?
O 24140
O 4840
O 247/10
O 48V/10
Answer:48V/10
Step-by-step explanation:
I got it right from Khan Academy
Why is cereal is packaged in rectangular boxes?
Answer:
A rectangular solid offers more volume while still maintaining a width acceptable to be gripped by one hand. Considering the average grip width available to humans is a couple inches wide, cereal boxes conform to this to allow one handed pouring.
Step-by-step explanation:
Try writing this on your own words if you want :)
What transformations would result in the image shown?
Δ ABC is reflected over both axes.
Δ ABC is reflected over the y-axis and translated down 5 units.
Δ ABC is reflected over the x-axis and translated right 5 units.
Δ ABC is translated right 5 units and down 5 units.
Please solve this in a few mins! :)
Answer:
The answer is greater than or equal to 15 which is the third answer.
express one hour in seconds,in standard form
Answer:
Hi! There are 3600 seconds in one hour.
Step-by-step explanation:
60 min. = one hour
60 seconds = one minute
:)
lim x→∞ √x²+x(2a+2b)+4ab-x
notice : all coefficients and variables are in the root
AND IF YOU CAN'T ANSWER, DON'T ANSWER THIS QUESTION!!!!!
( WITH THE STEPS!)
[tex]\lim \limits_{x \to \infty} \sqrt{x^2 +x(2a+2b) +4ab-x}\\\\\\=\lim \limits_{x \to \infty} \sqrt{x^2 \left( 1 + \dfrac{2a+2b}{x}+ \dfrac{4ab}{x^2} - \dfrac 1{x} \right)}\\\\\\=\sqrt{\lim \limits_{x \to \infty} x^2 \cdot \lim \limits_{x \to \infty} \left( 1 + \dfrac{2a+2b}{x}+ \dfrac{4ab}{x^2} - \dfrac 1{x} \right)}}\\\\\\=\sqrt{ \infty \cdot (1+0+0-0)}\\\\=\sqrt{ \infty \cdot 1}\\\\=\infty[/tex]
Consider the graph of the functions f (x) and g (x)
Whats the solution to the equation f (x) = g (x)
A. x=3
B. x=4
C.x=5
D. x-6
Answer:
(5,4)
Step-by-step explanation:
What is the solution of two function?
The solution of a system of equations is simply where the value of x ( input ) creates an output ( y value ) equal to each other regarding the two functions.
How do identify the solution via graph.
We can identify the solution of a system of equations via graph by looking at where the two functions intersect.
Identifying the solution.
Looking at the graph, the two lines intersect at (5,4)
The answer choices are asking for the value of x of the solution which would be 5 as x = 5 in (5,4)
The rule is
If two lines are graphed then their solution is their intersection point .
Here both f(x) and g(x) are intersecting at
(5,4)So (5,4) is solution
Option C is correct
These points are linear. Find the slope.
Answer:
8
Step-by-step explanation:
Concepts
The formula to find the slope of a line given two points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. These points represent the x- and y-coordinates of the points.
Application
To find the slope of these points, we need to take two points and use the aforementioned formula. Let's take (0, 8), and (1, 16).
Solution
[tex]\frac{(16)-(8)}{(1)-(0)}[/tex] [tex]\frac{8}{1}[/tex] [tex]8[/tex]Therefore, the slope is 8.
Answer:
slope = 8
Step-by-step explanation:
Take 2 points from the given table:
[tex]\textsf{let}\:(x_1,y_1)=(0,8)[/tex]
[tex]\textsf{let}\:(x_2,y_2)=(-1,0)[/tex]
Use the slope formula to find the slope:
[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0-8}{-1-0}=\dfrac{-8}{-1}=8[/tex]
Find the solution to the equation below.
2x²+3x-20=0
Answer:
[tex]x=\frac{5}{2}[/tex] or x= -4
Step-by-step explanation:
To solve the quadratic equation, start by factorizing it.
[tex]2x^{2} +3x-20=0[/tex]
(2x -5)(x +4)= 0
Since the equation equals to zero, either one of its factor, i.e. (2x -5) or (x +4), can be equal to zero.
2x -5= 0 or x +4= 0
Solve for x:
2x= 5 or x= -4
[tex]\bf{x=\frac{5}{2}}[/tex]
_______
Alternatively, the quadratic formula can be used to solve the equation.
[tex]\boxed{x=\frac{-b\pm\sqrt{b^{2}-4ac } }{2a} }[/tex]
This is especially useful when the quadratic equation cannot be factorized. To use the formula, ensure that the equation is in the form of [tex]ax^{2} +bx +c=0[/tex].
Additional:
For an example on solving quadratic equations using the quadratic formula, do check out the following!
https://brainly.com/question/27739892jhon and jack divided their math homework, jhon solved twice as many problems as jack
Answer:
If this is your question: john and jack divided there math homework.John solved twice as many problems as jack plus 1 more problem how many problems did each boy solve if there are 28 assigned problems?
Answer:
John: 19
Jack: 9
Step-by-step explanation:
Hope it helps! God bless!
I have 60 balls, 12 of them are blue, 34 of them are green and 14 of them are yellow. What is the probability that I get a blue one
Answer: As a fraction it is 1/5 but as a percent 20%
Step-by-step explanation:
this is because 12/60=1/5 or 20%
answer is 20%
heres why
ok so if there is 60 balls all together out of all the color and you want to get a blue ball but the blue has less balls out of all the other colored balls so there is would be a less percent of getting a ball of that color out of 100%
you would need to take the blue color of balls and put in a fraction with the amount of balls together
so that would be 12/60
you half 12/60 and you would need to get the percent which is 20% so you have a 20% of getting a blue colored ball
Race drivers must complete 200 laps in the Daytona 500. if Ticky Bobby only completed 57% of the race, how many laps did he complete?
Answer:
114 laps
Step-by-step explanation:
Multiply 200 x 57% :
200 x 57%200 x 57/1002 x 57114 lapsstep right up for a brainilest
Answer:
0, 2/5, 1/6,-3/4,-7/10
Step-by-step explanation:
this is just what i think i didint understand the no spaces or no commas or negatives thing but here you go i hope its right
What is the average rate of change of the function over the interval x = 0 to x = 4? f(x)=2x−13x 5 enter your answer, as a fraction, in the box.
The average rate of change of the function over the interval x = 0 to x = 4 is: 61/400.
What is the Average Rate of Change of a Function?Average rate of change = f(b) - f(a) / b - a
Given the function, f(x) = 2x - 1 / 3x + 5.
a = 0, f(a) = 2x - 1 / 3x + 5 = 2(0) - 1 / 3(0) + 5 = -1/5
b = 4, f(b) = 2x - 1 / 3x + 5 = 2(4) - 1 / 3(4) + 5 = 7/17
Average rate of change = 7/17 - (-1/5) / 4 - 0 = 61/400
Learn more about average rate of change on:
https://brainly.com/question/11627203
#SPJ4
write the smallest and greatest 5 digit number 6,8,9,5,3 digit
Answer:
Smallest- 35689
Greatest- 98653
Answer:
35689 =- least
98653 = greatest
Step-by-step explanation:
this is because we want the bigger numkbners to be at the end for the smaller number and vise vera for the greater number,
what’s the geometric mean between 40 and 30????
Hi Student!
In the question we are given two numbers and told to find the geometric mean of them. A normal mean would be just taking the average by multiplying them against each other and dividing by two. However, for geometric mean we multiply them against each other but put them inside of a square root.
[tex]mean = \sqrt{a*b}[/tex]
[tex]mean = \sqrt{40*30}[/tex]
[tex]mean = \sqrt{1200}[/tex]
[tex]mean = \sqrt{20^2*3}[/tex]
[tex]mean = 20\sqrt{3}[/tex]
Therefore, our geometric mean is [tex]34.64[/tex] or [tex]20\sqrt{3}[/tex].
A person invests 8000 dollars in a bank. The bank pays 6.25% interest compounded daily. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 10800 dollars
Answer:
4.8 years
Step-by-step explanation:
10 800 = 8000 e^(i t) i = decimal interest per year t = years
10800/8000 = e^(.0625 t) ln both sides
.300 = .0625 t
t = 4.8 years
Johnathan sold hamburgers and hotdogs at the basketball game. each hamburger cost $4.75, and each hot dog cost $2.50. he sells a total of 50 hamburgers and hotdogs. he collects a total of $170. which system of equations can be used to determine how many hamburgers he sold, x, and how many hot dogs he sold, y?
I'm pretty sure it's water bro