Step-by-step explanation:
[tex]0.07 \times x = 441[/tex]
[tex]x = \frac{441}{0.07} [/tex]
[tex]x = 6300[/tex]
which one is a vertical line through the point (3;5)
A vertical line going through any given point would pass through the x-coordinate.
In this case, the x-coordinate is 3. Therefore, the vertical line that would pass through the point (3, 5) is x = 3.
Hope this helps!
You spin the spinner once.
6
3
5
What is P(6)?
Write your answer as a decimal.
4
Answer:
0.25
Step-by-step explanation:
Every number has equal probability here
6 math questions, answer all please for all points
Answer:
See below for answers and explanations
Step-by-step explanation:
Problem 1
Recall that the projection of a vector [tex]u[/tex] onto [tex]v[/tex] is [tex]\displaystyle proj_vu=\biggr(\frac{u\cdot v}{||v||^2}\biggr)v[/tex].
Identify the vectors:
[tex]u=\langle-10,-7\rangle[/tex]
[tex]v=\langle-8,4\rangle[/tex]
Compute the dot product:
[tex]u\cdot v=(-10*-8)+(-7*4)=80+(-28)=52[/tex]
Find the square of the magnitude of vector v:
[tex]||v||^2=\sqrt{(-8)^2+(4)^2}^2=64+16=80[/tex]
Find the projection of vector u onto v:
[tex]\displaystyle proj_vu=\biggr(\frac{u\cdot v}{||v||^2}\biggr)v\\\\proj_vu=\biggr(\frac{52}{80}\biggr)\langle-8,4\rangle\\\\proj_vu=\biggr\langle\frac{-416}{80} ,\frac{208}{80}\biggr\rangle\\\\proj_vu=\biggr\langle\frac{-26}{5} ,\frac{13}{5}\biggr\rangle\\\\proj_vu=\langle-5.2,2.6\rangle[/tex]
Thus, B is the correct answer
Problem 2
Treat the football and wind as vectors:
Football: [tex]u=\langle42\cos172^\circ,42\sin172^\circ\rangle[/tex]
Wind: [tex]v=\langle13\cos345^\circ,13\sin345^\circ\rangle[/tex]
Add the vectors: [tex]u+v=\langle42\cos172^\circ+13\cos345^\circ,42\sin172^\circ+13\sin345^\circ\rangle\approx\langle-29.034,2.481\rangle[/tex]
Find the magnitude of the resultant vector:
[tex]||u+v||=\sqrt{(-29.034)^2+(2.481)^2}\approx29.14[/tex]
Find the direction of the resultant vector:
[tex]\displaystyle \theta=tan^{-1}\biggr(\frac{2.841}{-29.034}\biggr)\approx -5^\circ[/tex]
Because our resultant vector is in Quadrant II, the true direction angle is 6° clockwise from the negative axis. This means that our true direction angle is [tex]180^\circ-5^\circ=175^\circ[/tex]
Thus, C is the correct answer
Problem 3
We identify the initial point to be [tex]R(-2,12)[/tex] and the terminal point to be [tex]S(-7,6)[/tex]. The vector in component form can be found by subtracting the initial point from the terminal point:
[tex]v=\langle-7-(-2),6-12\rangle=\langle-7+2,-6\rangle=\langle-5,-6\rangle[/tex]
Next, we find the magnitude of the vector:
[tex]||v||=\sqrt{(-5)^2+(-6)^2}=\sqrt{25+36}=\sqrt{61}\approx7.81[/tex]
And finally, we find the direction of the vector:
[tex]\displaystyle \theta=tan^{-1}\biggr(\frac{6}{5}\biggr)\approx50.194^\circ[/tex]
Keep in mind that since our vector is in Quadrant III, our direction angle also needs to be in Quadrant III, so the true direction angle is [tex]180^\circ+50.194^\circ=230.194^\circ[/tex].
Thus, A is the correct answer
Problem 4
Add the vectors:
[tex]v_1+v_2=\langle-60,3\rangle+\langle4,14\rangle=\langle-60+4,3+14\rangle=\langle-56,17\rangle[/tex]
Determine the magnitude of the vector:
[tex]||v_1+v_2||=\sqrt{(-56)^2+(17)^2}=\sqrt{3136+289}=\sqrt{3425}\approx58.524[/tex]
Find the direction of the vector:
[tex]\displaystyle\theta=tan^{-1}\biggr(\frac{17}{-56} \biggr)\approx-17^\circ[/tex]
Because our vector is in Quadrant II, then the direction angle we found is a reference angle, telling us the true direction angle is 17° clockwise from the negative x-axis, so the true direction angle is [tex]180^\circ-17^\circ=163^\circ[/tex]
Thus, A is the correct answer
Problem 5
A vector in trigonometric form is represented as [tex]w=||w||(\cos\theta i+\sin\theta i)[/tex] where [tex]||w||[/tex] is the magnitude of vector [tex]w[/tex] and [tex]\theta[/tex] is the direction of vector [tex]w[/tex].
Magnitude: [tex]||w||=\sqrt{(-16)^2+(-63)^2}=\sqrt{256+3969}=\sqrt{4225}=65[/tex]
Direction: [tex]\displaystyle \theta=tan^{-1}\biggr(\frac{-63}{-16}\biggr)\approx75.75^\circ[/tex]
As our vector is in Quadrant III, our true direction angle will be 75.75° counterclockwise from the negative x-axis, so our true direction angle will be [tex]180^\circ+75.75^\circ=255.75^\circ[/tex].
This means that our vector in trigonometric form is [tex]w=65(\cos255.75^\circ i+\sin255.75^\circ j)[/tex]
Thus, C is the correct answer
Problem 6
Write the vectors in trigonometric form:
[tex]u=\langle40\cos30^\circ,40\sin30^\circ\rangle\\v=\langle50\cos140^\circ,50\sin140^\circ\rangle[/tex]
Add the vectors:
[tex]u+v=\langle40\cos30^\circ+50\cos140^\circ,40\sin30^\circ+50\sin140^\circ\rangle\approx\langle-3.661,52.139\rangle[/tex]
Find the magnitude of the resultant vector:
[tex]||u+v||=\sqrt{3.661^2+52.139^2}\approx52.268[/tex]
Find the direction of the resultant vector:
[tex]\displaystyle\theta=tan^{-1}\biggr(\frac{52.139}{-3.661} \biggr)\approx-86^\circ[/tex]
Because our resultant vector is in Quadrant II, then our true direction angle will be 86° clockwise from the negative x-axis. So, our true direction angle is [tex]180^\circ-86^\circ=94^\circ[/tex].
Thus, B is the correct answer
The probability distribution for a random variable x is given in the table.
(see image)
Find the probability that x<-3
Answer:
30%
Step-by-step explanation:
The sign means that x can be equal to or LESS than -3. The only ones are -3 and -5. 0.17+0.13=0.30
Felix's kitchen table is round and has a radius of 3 feet. What is the tabletop's area?
use 3.14
Answer:
28.26 ft squared
Step-by-step explanation:
Area is pi*r^2
3.14*(3)^2
3.14*9
28.26
After begging his parents for 3 years, Ed is finally going to clown college! On the first day, his juggling instructor divides a box of bean bags equally among the 17 clowns in Ed's class. Each clown gets 4 bean bags. Which equation can you use to find the number of bean bags b in the instructor's box? Solve this equation for b to find the number of bean bags in the instructor's box. bean bags Questions
The equation that can be used to determine the number of bean bags in the instuctor's box is b = 17 x 4.
The number of bean bags in the instructor's box is 68.
What is multiplication?
Multplication is a mathematcial operation that can be used to determine the product of two or more numbers. The sign used to represent multiplication is ×.
To learn more about multiplication, please check: https://brainly.com/question/13814687
7. An 18-foot long ramp is placed at a loading
dock that is 5 feet above ground. How far is
the bottom of the ramp from the dock?
17.29162
Step-by-step explanation:[tex]\sqrt{18^2-5^2}[/tex]
__________________________________________
Evaluate the equation/expression:[tex]17.29162[/tex]
I hope this helps you
:)
Identify the type of polynomial
3x2 + 2x +1
14 m
F. 2,352 m
G. 1,476 m
H. 392 m
I. 261.3 m
7 m
24 m
25 m
Answer:
choice for your help today 12 m is not answering me, sorry I think 25m
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Step-by-step explanation:
You must set up a proportion, it is called finding the geometric mean.
[tex] \frac{x}{4} = \frac{36}{x} [/tex]
Then, you must cross multiply to get:
[tex] {x}^{2} = 144[/tex]
Then, take the square root
[tex] \sqrt{ {x}^{2} } = \sqrt{144} [/tex]
[tex]x = 12[/tex]
If this answer helped you, I would greatly appreciate the brainliest :D
After your training program is completed, what should you do?
A. Evaluate progress
B. None apply
C. Start the program again
D. Add on more time

Answer:
A. evaluate progress
Step-by-step explanation:
common sense
The growth of plants in one week are recorded for 6 plants with a sample standard deviation of 4inches and sample mean of 11 inches.
t* at the 0.05 significance level=__
Margin of error = ___
Confidence interval = _____
Answer:
from my side it's blurry
Margin of error = 0.8226401
Confidence interval = (9.17736,10.82264)
We have given data for one week recorded for 6 plants.
With a sample standard deviation of 1 inch and a sample mean of 10 inches.
For this sample, it is given that,
Sample size = n = 6
Sample SD = s = 1
Sample mean = x = 10
At a 0.10 significance level, the critical point is with t-distribution (n-1)df=5 df,
t* =2.015048
Margin of error = E=2.015048*s/ √n = 0.8226401
Confidence interval
= (9.17736,10.82264)
Learn more about Margin of error here: https://brainly.com/question/10218601
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You had $250 to spend on six hydro flask. After buying them you had $10 . How much did each flask cost?
Step-by-step explanation:
[tex]see \: if \: 10 \: are \: left \: then \: we \: hve \: spent \\ 250 - 10 = 240 \: dollars \\ [/tex]
hence
[tex]six \: flasks \: cost \: 240 \: dollars \\ so \: if \: we \: divide \: 240 \: by \: 6 \: we \: get \: 40 \: \\ [/tex]
so one flask costs 40$
what digit is in the ten thousand place in 796,142 what is the answer
Answer:
9
Step-by-step explanation:
2 is in the ones place
4 is in the tens
1 is in the hundreds
6 is in the thousands
9 is in the ten thousands
Answer:
The number that is in the ten thousands is 9, whose value is 90,000.
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Thank you so much for participate in the community of Brainly.com
I hope help you :)
Kind regards, Antonio.
find the value of x and y in the figure below
Step-by-step explanation:
First find out the value of X and second find the value of Y and where is figure
Which of the following lines are parallel?
Answer:
D&E, A&B
Step-by-step explanation:
It's pretty confusing but I know any of the answers with "c" in it is incorrect. The other options seem correct.
Christina read 7 pages in a magazine she read 5 times as many pages in a book how many pages did christina read altogether
I need help my sister needs help and she is in 4th grade and I am in 10th so I don’t know how to do her homework
Answer:
42 Pages
Step-by-step explanation:
7x5=35
7+35=42
A website sells custom messenger bags in 4 sizes. For each size, there are 52 color/fabric combinations. Any of these 52 can be chosen for the left, center, and right panel. In addition, there are 18 different choices of binding color, 27 choices of logo color, 11 choices of liner color, and 49 choices of strap pad color. There are 4 choices for the interior style. The bag can be right- or left-handed. It can be ordered with or without a grab strap, a chiller insert, a camera insert, and a water bottle pocket. How many different bags are possible?
Financial Literacy Paul earns $25 for grooming a dog plus $18.50
per day for boarding the same dog.
e. Write an equation to find the amount of money Paul earned m
for grooming a dog once and boarding it for any number of days d.
f. Make a table to find his earnings for 5, 6, 7, or 8 days. Then graph
the ordered pairs.
Answer:
e): m=18.50d + 25
Step-by-step explanation:
Arron is getting new carpet in his bedroom. The dimensions of his room are 8 feet by 15 feet. How much carpet does he need to cover the whole floor?
Answer:
120 square feet ( 13.333 square yards)
Step-by-step explanation:
8 ft x 15 feet = 120 ft^2
what is the measurement of angle p a 36B 64 c116 D 244
Answer:
b 64
Step-by-step explanation:
because p is just a mirror of o ,and o =64
NO LINKS + CORRECT ANSWER GETS BRAINLIEST
An auditorium has 9025 seats arranged in rows and columns. Each rows contains as many as the total numbers of rows . Find the numbers of rows in the auditorium .
Answer:
95
Step-by-step explanation:
9025 is a perfect square of 95. hence the number of rows is 95.
[tex]☞︎︎︎ \: x \: \times \: x = 9025[/tex]
[tex]☞︎︎︎ \: {x}^{2} = (5 \times 5) \: \times \: (19 \times 19)[/tex]
[tex]☞︎︎︎ \: {x}^{2} = {95}^{2} [/tex]
[tex]☞︎︎︎ \: x \: = \sqrt{ {95}^{2} } [/tex]
[tex]☞︎︎︎ \: x = 95[/tex]
SourCandyy シ︎In the first 3 hours of a concert, 2,100 people passed through the gates. How long will it take to fill a concert hall that has 2,800 seats?
Answer:
4 hours
Step-by-step explanation:
the rate of people coming in it 700 per hour
How many symmetrical sides does a star have?
Answer:
Depends on how many points the star has. For example, a 5 pointed star will have 5 lines of symmetry. Knowing this, you should be able to count using a diagram or drawing of the star
Mandy paints four square walls that are ten feet on each side. Which expression represents the total square footage that Mandy painted?
4 × 102
42 × 10
4 × 10 × 2
102 + 4
Answer:
C. 4 × 10 × 2
Step-by-step explanation:
There are four walls that are ten feet on each side.
You would take 4 (number of walls) × 10 (number of feet in length), and because there are 2 sides of the walls, you would take that × 2.
Therefore, your answer is 4 × 10 ×2
WHOEVER ANSWERS CORRECT AND FIRST WILL GET BRAINLIEST! How long does it take an elevator to go from the ground floor to the observation deck at a height of 869 feet?
so for a height of 869 feet the time will be 21.725s
[tex]1s = 40ft \\ x = 869ft \\ x= \frac{869}{40} \\ x = 21.725ft[/tex]
Help I think it’s probably D
Pyramid ABCDE is a square pyramid.
What is the lateral area of pyramid ABCDE?
A ) 162 3 cm^2
B ) 324 3 cm^2
C ) 648 3 cm ^2
D ) 1296 3 cm ^2
Answer:
B
Step-by-step explanation:
i took the test and got a 100% so ys that the answer.
Answer:
B
Step-by-step explanation:
"lateral" means "belonging to the side".
so, the lateral area of a square pyramid (or any kind of pyramid or other 3-D structure, really) is the sum of the areas of its side faces.
so, in essence we have to calculate the area of one of the side triangles, and then multiply it by 4, as the other 3 are equal (due to the fact that the base is a square, and we are clearly dealing with a regular, symmetric pyramid).
each of the side triangles is an isoceles triangle (both legs are equal long, therefore both side angles are equal too).
that means both side angles are 60° each.
and because we know that the sum of all angles in a tingle is always 180°, the angle at the top is
180 - 60 - 60 = 60°
hey, all 3 angles are the same !
that means the triangle is not only isoceles but equilateral (all 3 sides are equally long).
and that means all sides are 18 cm long.
the area of a triangle can be calculated for our scenario in 2 major ways :
1. baseline × height / 2
2. Heron's formula (since we know all 3 sides) :
A = sqrt(s(s-a)(s-b)(s-c)), s = (a+b+c)/2
I don't know which one your teacher wants you to use.
so,
1.
the height we get via Pythagoras
leg² = (baseline/2)² + height²
18² = (18/2)² + height²
324 = 81 + height²
81×4 = 81 + height²
81×3 = height²
height = sqrt(81×3) = 9×sqrt(3)
the area of the triangle is
18 × 9 × sqrt(3) / 2 = 9 × 9 × sqrt(3) = 81×sqrt(3) cm²
2.
s = (18+18+18)/2 = 54/2 = 27
A = sqrt(27(27-18)(27-18)(27-18)) =
= sqrt(9×3×9×9×9) = 3×3×3×3×sqrt(3) = 81×sqrt(3) cm²
the total lateral area is then
4×81×sqrt(3) = 324×sqrt(3) = 561.1844617... cm²
oh, I see, i think you did not include the square root in the answer options. that is confusing.
but as you can see, option B must be correct.
What is the simplest form of the quotient? Simplify by rationalizing the denominator.
[tex]\frac{\sqrt{3x^{12} y^{10}}}{\sqrt{5x^{6} y^{3}}}[/tex]
A. [tex]5x^{3} y^3 \sqrt{15y}[/tex]
B. [tex]\frac{x^3 y^3 \sqrt{15y} }{5}[/tex]
C. [tex]\frac{\sqrt{15x^{18} y^{13}}}{5x^6 y^3}[/tex]
D. none of these
Answer:
[tex]5x^{3} y^3 \sqrt{15y}[/tex] is the right answer and other are wrong
|x+1|+|x-2|=3
WHAT IS THE ANSWER??
Answer:
-1 ≤ x ≤ 2
Step-by-step explanation:
The given equation can be rewritten as a piecewise function and solved in pieces.
The term |x+1| changes definition at x=-1. For x-values less than that, it is defined as -(x+1). Similarly, the term |x-2| changes definition at x=2. For x-values less than that, its definition is -(x-2). In the following, we consider the three pieces of the function.
__
x < -1In this domain, the absolute value functions both have negative arguments, so the equation is effectively ...
-(x +1) -(x -2) = 3
-2x +1 = 3 . . . . . . . simplify
-2x = 2 . . . . . . subtract 1
x = -1 . . . . divide by -2
This value of x is not in the domain we have defined, so there is no solution in this domain.
__
-1 ≤ x ≤ 2In this domain, the function |x+1| has a non-negative argument, but the function |x-2| has a non-positive argument. The equation is effectively ...
(x +1) -(x -2) = 3
x -x +1 +2 = 3 . . . . . eliminate parentheses, group like terms
3 = 3 . . . . . . . . . true for the entire domain
The solution here is -1 ≤ x ≤ 2.
__
2 < xBoth absolute value terms have positive arguments in this domain, so the equation is effectlvely ...
(x +1) +(x -2) = 3
2x -1 = 3 . . . . . simplify
2x = 4 . . . . add 1
x = 2 . . . . divide by 2
This value of x is not in the domain we have defined, so there is no solution in this domain.
__
The solution to the given equation is -1 ≤ x ≤ 2.
x^2 + 10x + 21 = 0
Solve for x using "Completing the Square"
Answer:
[tex]x=-7,-3[/tex]
Step-by-step explanation:
Completing the square means you are changing the polynomial so that it is a perfect square trinomial. Since the middle term is 10, we need the last term to be 25 since 5+5=10, thus, 5*5=25:
[tex]x^2+10x+21=0\\x^2+10x+21+4=0+4\\x^2+10x+25=4\\(x+5)^2=4\\x+5=\pm2\\x=-7,-3[/tex]
As you can see, because we change [tex]x^2+10x+21[/tex] to [tex]x^2+10x+25[/tex] by adding 4 to both sides, we were able to reduce it to [tex](x+5)^2[/tex], a perfect square, and solve the rest of the problem.