Answer:
The length of the vector is of [tex]\sqrt{194}[/tex]
The unit vector with the direction of PQ is [tex](\frac{8}{\sqrt{194}}, \frac{9}{\sqrt{194}}, \frac{7}{\sqrt{194}}[/tex]
Step-by-step explanation:
Vector from point P(3,-5,2) to Q(-5,4,9)
The vector is:
[tex]PQ = Q - P = (-5-3, 4-(-5), 9-2) = (8,9,7)[/tex]
The length is:
[tex]\sqrt{8^2+9^2+7^2} = \sqrt{194}[/tex]
The length of the vector is of [tex]\sqrt{194}[/tex]
Find a unit vector with the direction of PQ
We divide each component of vector PQ by its length. So
[tex](\frac{8}{\sqrt{194}}, \frac{9}{\sqrt{194}}, \frac{7}{\sqrt{194}}[/tex]
The unit vector with the direction of PQ is [tex](\frac{8}{\sqrt{194}}, \frac{9}{\sqrt{194}}, \frac{7}{\sqrt{194}}[/tex]
Which of the following options have the same value as 30% percent of 81?
Answer:
24.3
Step-by-step explanation:
30% of 81 can be found by converting the percentage into the fraction 0.30 and then multiplying: 0.30(81) = 24.3
please help for 30 points!!
Answer:
AB = √17 4.1
GH = 4√2 5.7
Step-by-step explanation:
AB = 1²+4²=c²
1+16=c²
17=c²
√17=c
c=4.1
GH = 4²+4²=c²
16+16=c²
32=c²
√32=c
4√2=c
C=5.7
Which expression is equivalent to j(j)(j)(j)(j)(j)(j)(j)(j)(j)(j)(j)(j)?
o 13'
o 13j
o j13
oj + 13
need help fast pls!
im sooooooooo bord sooooo you get 100 points for ansering 1+1¥¥¥¥¥¥¥¥
Answer:
1+1=2
Step-by-step explanation:
THANKS YOU YAY HOPE IT HEOPS
Answer:
2 thanks
Step-by-step explanation:
Find cos 0
16
20
12
A.
12
16
B.
12
20
C.
16
20
10
D.
Answer:
b cuz its cosine but i flipped the numbers so it can be 20 over 12 and gave me exactly 0
The trigonometric function gives the ratio of different sides of a right-angle triangle. The value of cos(θ) in the given triangle is 0.6.
What are Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm \sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\\cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\\tan \theta=\dfrac{Perpendicular}{Base}\\\\\\[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
In a right angle, the cosine function of trigonometry is the ratio of the base of the triangle and the hypotenuse of the triangle.
For angle θ, the dimension of the triangle will be,
Perpendicular = 16
Base = 12
Hypotenuse = 20
Now, the measure of cos(θ) will be,
Cos(θ) = Base / Hypotenuse
= 12 / 20
= 6 / 10
= 0.6
Hence, the value of cos(θ) in the given triangle is 0.6.
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what is the value of 3 in 728.36
The length of arc GJ is equivalent to 26π/3 units.
What is place value?Place value can be defined as the value represented by a digit in a number on the basis of its position in the number.
Given is the value of 3 in 728.36.
In 728.36, the digit 3 is at tenths place. The digit 6 is at units place. We can say that the digit 3 is at tenths place in the decimal number 728.36.
Therefore, the digit 3 is at tenths place in the decimal number 728.36.
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Find the value of x. Round to the nearest tenth. x=
27 , 34 , 11 ,
Will give brainliest
Answer:
13.5
Step-by-step explanation:
your teacher wrote all the tools you need down already.
we only need to apply them.
is that really so difficult ?
because of the law of sines we have
sin(27)/11 = sin(34)/x
we can also turn this upside down to simplify the calculation.
11/sin(27) = x/sin(34)
x = 11×sin(34)/sin(27) = 13.549 ≈ 13.5
there, that was all there was to it ...
Abdul earns 44 dollars per week working part-time at a book store. He makes one dollar more for each book that he sells. The amount, A (in dollars), that Abdul
earns in a week if he sells b books is given by the following function.
A(b) = 44+b
How much does Abdul earn in a week if he sells 31 books?
Answer:
$75
Step-by-step explanation:
he makes $44 and then you add the dollar per 31 books making $75
Help me with my homework, please
Answer:
150°
Step-by-step explanation:
We know each angle in a equilateral triangle is 60° and that of a rectangle is 90° . So ,
[tex]\implies \angle ABC = \angle DBC + \angle ABD \\\\\implies \angle ABC = 90^o + 60^o \\\\\implies \boxed{\boxed{ \angle ABC = 150^o }}[/tex]
A car wash attendant counted the number of cars washed and the total amount of money earned. The company charged the same price for each car washed and earned $165 for 15 cars, $231 for 21 cars, and $275 for 25 cars. Write an equation for the relationship between the number of cars washed, n, and the number of dollars earned, m.
Find the measure of minor arc QN.
M
0
K
IN
38
Р
Answer:
142°
Step-by-step explanation:
Minor arc QN = m(MN) + m(QM)
n(MN) = m<MKN = 90° (central angle = measure of intercepted arc)
m(NO) = m<NKO = 38° (measure of intercepted arcs)
m(QM) = 180° - (m(MN) + m(NO)) (half circle)
Substitute
m(QM) = 180° - (90° + 38°)
m(QM) = 52°
✔️Minor arc QN = m(MN) + m(QM)
Substitute
Minor arc QN = 90° + 52° = 142°
The triangle shown is rotated about line m.
What is the approximate base area of the resulting three-
dimensional figure?
Area of a circle: A = rr?
m
10 cm
8 cm
38 sq. cm
113 sq. cm
201 sq. cm
314 sq. cm
6 cm
Answer:
B 113
Step-by-step explanation:
on edg
From the information given, the area of the circle is: "113 sq. cm".
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
The formula to find the area of a circle is,
Area = πr².
Now, Using the side as the radius of the circle, we can calculate the area of the base area.
Here,
Radius r = 6
Thus, We get;
A = π x 6²
A = (22/7) x 36
A = 3.14285714286 x 36
A = 113.12
A ≈ 113 square unit.
Hence, The area of the circle is,
⇒ A = 113 sq. cm.
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The height meters of a mass projected vertically upwards at a time seconds s=ut-0.5gt².
Determine how long the mass will take after being projected to reach a height of 16m on the ascent.
b. on the descent when u=30m/s and g=9.8m/s
9514 1404 393
Answer:
t ≈ 0.590 s (ascent); 5.532 s (descent)
Step-by-step explanation:
We are interested in the values of t when s=16.
s = 30t -4.9t²
4.9t^2 -30t +16 = 0 . . . . . substitute 16 for s; put in standard form
The quadratic formula can be used to find the solutions:
t = (-(-30) ±√((-30)² -4(4.9)(16)))/(2(4.9))
t = (30 ±√586.4)/9.8 ≈ 0.59023, 5.53221 . . . . seconds after launch
a) It will take 0.590 seconds to reach 16 m height initially.
b) It will take 5.532 seconds to return to 16 m height on descent.
Maya keeps her bolts in a large box in her garage. The total number of bolts in the box, f(x), is determined by the number of models (x) that she builds. The graph below shows that this relationship is a linear function. Which of the following would be the largest possible value in the domain of Maya’s function?
4
10
11
12
Answer:
4
Step-by-step explanation:
The domain of a function consist of all possible values of x that will give us corresponding values of y.
From the graph given, the points plotted indicates on the x-axis that the largest possible value we can have on the x-axis which represents Maya's Domain function is x = 4.
4 is the highest domain of Mayas function.
Find the zero of the function f(x)=0.8e^2x -9. Round to the nearest hundredth.
Answer: x=1.21
Step-by-step explanation:
Given
Function is [tex]f(x)=0.8e^{2x}-9[/tex]
To find the zeroes, equate the function equal to zero
[tex]\Rightarrow 0.8e^{2x}-9=0\\\\\Rightarrow e^{2x}=\dfrac{9}{0.8}\\\Rightarrow e^{2x}=11.25[/tex]
taking natural logarithm both sides
[tex]\Rightarrow \ln (e^{2x})=\ln (11.25)\\\Rightarrow 2x=2.42\\\Rightarrow x=1.21[/tex]
The zero of the equation is 1.21
The population of rabbits in a forest follows the law of
exponential
growth.
If 90 rabbits are present initially and
there are 180 after 3 years, how many will here be in 4 yours
Answer:
226.78579
Step-by-step explanation
first, find k in 90(3^kx)
90(e^0) = 90 [when time is 0 years, the population is 90]
180=90(e^k3), 2=e^3k
ln2 = 3k, k=(ln2)/3
90(e^4(ln2)/3) = 90(e^ln(16)/3)
it is about 226.78579
Hey, please could someone help :)
Step-by-step explanation:
Under 18 tickets: 5062-3484=1578
Total money: 3484*18+1578*12=81648$
100%-85%=15% goes to community projects
So, (15/100)*81648=12247.2 $
Reduce la siguiente expresión algebraica:
E(x,y)=x3y5+3y5x3+12x3y5−2y5x3
es para hoy
Answer:
123456789101112131415161718192021222324252627
help me for a brianly
Answer:
35
Step-by-step explanation:
you multiply like it is a rectangle then you cut your answer in half in this case 7x10=70 cut in half is 35
The measures of the angles of A ABC are given by the expressions in the table.
Angle
Measure
А
(6x- 1)
B
20°
с
(x + 14)
What are the measures of angles A and C?
First You add all given angles up to equal 180 to give you x then you plug x into equations
A= 125 degrees
C= 35 degrees
A village wishes to measure the quantity of water that is piped to a factory during a typical morning. A gauge on the water line gives the flow rate (in cubic meters per hour) at any instant. The flow rate is about 100 m3/hr at 6 am and increases steadily to about 280 m3/hr at 9 am. Using only this information, give your best estimate of the total volume of water used by the factory between 6 am and 9 am.
Answer:
570 m³
Step-by-step explanation:
The volume of water is the product of flow rate of water and the time taken. We are to get the volume of water used between 6 am and 9 am, that is for 3 hours (9 - 6).
We are given the flow rate at 6 am and the flow rate at 9 am, but this flow rate changes between 6 am and 9 am. To get the estimate of the water used, Let us assume that it flows at the same flow rate as it was at 6 am throughout, hence:
[tex]V_L= 100 m^3/h * 3h=300\ m^3[/tex]
Also, let us assume that it flows at the same flow rate as it was at 9 am throughout, hence:
[tex]V_R= 280 m^3/h * 3h=840\ m^3[/tex]
To get the best estimate of the total volume, let us find the average of the two values, hence:
[tex]Volume=\frac{V_L+V_R}{2} =\frac{300+840}{2}=570\ m^3[/tex]
Solve the simultaneous equations
2x - 5y = 9
3x + 4y = 2
Answer:
x = 2
y = 1
Step-by-step explanation:
Answer:
x= 2
y= -1
Step-by-step explanation:
Please help I beg you, I will pay too
Do you think standardized testing to measure the effects of the pandemic is “unnecessary or even actively harmful” this year — or, do you think schools need to administer those tests to see where students stand
Answer:
Read the claim. Schools should stop doing standardized testing. Read the counterclaim. The Department of Education says that teaching students to do well on standardized tests helps to motivate students and keep them focused on important subjects. Read the rebuttal. On the contrary, being forced to focus on testing stresses students and limits the amount of knowledge they can gain. How can the writer revise the rebuttal to make it stronger
y = 2x+10 shows the price, y, for x hours of contractor labor. How much for 10 hours of labor?
Answer:
$30
Step-by-step explanation:
Plus in 10 into the equation
Price=2(10)+10
Price=20+10
Price=30
A manufacturing company produces 275 units per day currently. The company's goal is to increase the number of units
manufactured per day by 50 each year. If the company meets its goal, how many units will it be producing per day 8 years
from now?
Select the correct answer below:
333
400
625
675
725
Answer:
D) 675 units per day.
Step-by-step explanation:
We can write a function to model the situation.
The company is currently producing 275 units per day.
And it will increase its production by 50 units after each year.
Therefore, after y years, its production in units per day will be:
[tex]f(y)=275+50y[/tex]
Then 8 years from now, the company will be producing:
[tex]f(8)=275+50(8)=275+400=675\text{ units per day.}[/tex]
Our answer is D.
Find the area of the semicircle. Enter the an exact answer in terms of or use 3.14 for and enter your answer as a decimal. PLEASE ANSWER NOW!
Answer:
6.28 units²
Step-by-step explanation:
The formula for finding the area of a circle:
πr²
We are given r = 2. So,
π(2)²
12.56 units²
However, it is a semicircle. So, only half of this value is needed.
12.56/2 = 6.28 units²
Answer:
area =12.56
Step-by-step explanation:
area of a semicircle=(pi(r)^2)/2
(3.14(2)^2)/2
(3.14(4))/2
12.56/2
6.28
What is the equation of a line that goes through (2,5) and (-2, 3)?
Answer:
y = 1/2x+4
Step-by-step explanation:
First find the slope
m= (y2-y1)/(x2-x1)
= (3 - 5)/(-2 -2)
= -2/-4
= 1/2
Using point slope form
y -y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y-5 = 1/2(x-2)
Distribute
y-5 = 1/2x -1
Add 5 to each side
y-5+5 = 1/2x -1+5
y = 1/2x+4
The diagram shows Maha's garden.
AB = 15.3 m.
BC= 13.6m.
AD = 24.0m.
Find the perimeter of the garden.
Answer:
perimeter = 71.4 m
Step-by-step explanation:
using the Pythagorean theorem:
CD² = 15.3² + (24 - 13.6)² = 234.09 + 108.16 = 342.25
CD = √342.25 = 18.5
perimeter = 24 + 15.3 + 13.6 + 18.5 = 71.4 m
7)
The diagram below shows the graph of y = |x-3|
Which diagram shows the graph of y= -|x - 3|
Answer:
y= -|x - 3| graph
Step-by-step explanation:
During a school fund-raiser, the Student Government Association tracked the
average donation by student. Which of the following can you conclude about
the fund-raiser?
Average Number of Dollars Donated
to Kennedy High School, by Grade
120
100
80
60
Average donation (S)
20
0
9th
10th
12th
11th
Grade
A. The higher the grade, the larger the average donation.
O B. The school raised a total of $100.
c. 100 12th graders donated to the fund-raiser.
D. The school raised $271.
Answer:
A) The higher the grade, the larger the average donation
Answer:
The Answer is A
Step-by-step explanation: