Answer: 3j-6k+4
Step-by-step explanation:
First you have to distribute the 3 to the j and the -2k since they are both in the parentheses. So it would look like (3*j) +(-2k*3)+4 and if you simplify that it is 3j-2k+4. After that there are no like terms so that is your answer.
A cylinder with a radius of 4 cm and a height of 9 cm has the same volume as a cone with a radius of 3 cm. What is the height of the cone?
Answer:
D. 48 cm
Step-by-step explanation:
Cylinder Volume:
V=πr^2h
V≈452.39
Cone Volume:
V=πr^2(h/3)
452.39 = pi(3)^2(h/3)
452.39 = pi x 9 x (h/3)
452.39 = 28.26 x (h/3)
/28.26 /28.26
16.008138712 = (h/3)
x 3 x 3
h = 48.0244161359
h = 48 cm
choose the number that is equal to: 2/3 divided by (-3) A.)-2 B.) -2/9 C.)2/9 D.) 2
i need help with this question pleasee
Answer:
A)
this is a corect answer for this question:)
Please answer the question below (ABOUT VECTORS AND MAGNITUDE)
(a) v appears to have a fixed direction along the positive x-axis. If ||u|| = 150 N, ||v|| = 220 N, then when θ = 30°, you have
u = (150 N) (cos(30°) i + sin(30°) j ) ≈ (129.904 i + 75 j ) N
v = (220 N) (cos(0°) i + sin(0°) j ) = (220 i ) N
(i and j are the unit vectors in the positive x and y directions)
and their sum is
u + v ≈ (349.904 i + 75 j ) N
with magnitude
||u + v|| ≈ √((349.904)² + (75)²) N ≈ 357.851 N ≈ 357.9 N
and at angle φ made with the positive x-axis such that
tan(φ) ≈ (75 N) / (349.904 N) → φ ≈ 12.098° ≈ 12.1°
(b) Letting θ vary from 0° to 180° would make v a function of θ :
u = (150 N) (cos(θ) i + sin(θ) j ) = (150 cos(θ) i + 150 sin(θ) j ) N
Then
u + v = ((220 + 150 cos(θ)) i + (150 sin(θ)) j ) N
→ M = ||u + v|| = √((220 + 150 cos(θ))² + (150 sin(θ))²) N
M = √(48,400 + 66,000 cos(θ) + 22,500 cos²(θ) + 22,500 sin²(θ)) N
M = 10 √(709 + 660 cos(θ)) N
(c) As a function of θ, u + v makes an angle α with the positive x-axis such that
tan(α) = (150 sin(θ) / (220 + 150 cos(θ))
→ α = tan⁻¹((15 sin(θ) / (22 + 15 cos(θ)))
(d) Filling in the table is just a matter of evaluating M and α for each of the given angles θ. For example, when θ = 0°,
M = 10 √(709 + 660 cos(0°)) N = 370 N
α = tan⁻¹((15 sin(0°) / (22 + 15 cos(0°))) = 0°
When θ = 30°, you get the same result as in part (a).
When θ = 60°,
M = 10 √(709 + 660 cos(60°)) N ≈ 323.3 N
α = tan⁻¹((15 sin(60°) / (22 + 15 cos(60°))) = 23.8°
and so on.
A line passes through the points (–6, –7) and (–3, 1). What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y = 8/3(x) + 9
Step-by-step explanation:
The general equation of a straight line is slope intercept form is;
y = mx + b
where m is the slope and b is the y-intercept
To get the slope, we use the slope equation
we have this as:
m = (y2-y1)/(x2-x1)
(x1,y1) = (-6,-7)
(x2,y2) = (-3,1)
m = (1+7)/(-3 + 6) = 8/3
so we have the equation as;
y = 8/3(x) + b
to get the value of b, we make use of any of the two points
We substitute the coordinates of the two points into the equation
Let us use the point (-3,1)
Thus;
1 = 8/3(-3) + b
1 = -8 + b
b = 1 + 8
b = 9
So the full equation is;
y = 8/3(x) + 9
Find the value of x. plz helpp
Answer:
x=45°
Step-by-step explanation:
180-90=90
Hence, there is 2 x so 90/2=45
Answer:
x = 45°
Step-by-step explanation:
here's your solution
=> we know that sum of all angles of traingle = 180°
=> x° + x° + 90° = 180°
=> 2x + 90° = 180°
=> 2x = 180° - 90°
=> 2x = 90°
=> x = 90°/2
=> x = 45°
hope it helps
Given the following information, find the Mean Absolute Deviation (MAD). The table is provided for guidance. You still need to find the Absolute deviations and then find the mean of those numbers.
The weights of 15 kittens at a pet shelter are shown below in ounces:
{7,7,9,10,11,13,13,13,13,14,14,18,20,23,25} and the mean is 14oz.
Data Mean Absolute Deviation
7 14
7 14
9 14
10 14
11 14
13 14
13 14
13 14
13 14
14 14
14 14
18 14
20 14
23 14
25 14
Answer:
3.625
Step-by-step explanation:
ur welcome!
What evidence is there in the document that the marchers were disciplined
Answer:
The evidence is the statement made in the document where it was said: "You will be beaten but you must not resist; you must not even raise a hand to ward off any blows"
Step-by-step explanation:
The document has been attached. It was from the march by gandhi's followers to the dharasana salt works.
From the document attached, the evidence that they were disciplined is where it was said: "You will be beaten but you must not resist; you must not even raise a hand to ward off any blows"
growth or decay pls answer
divide 2x⁴-3x³+2x²-4x+5 by x-2
Answer: 2
4
−
3
3
+
7
2
−
4
Step-by-step explanation:
Answer: -17
Step-by-step explanation:
2*-2^4-3*-2^3+2*-2^2-4-2+5= ?
2*-16-3*-8+2*-4-4-2+5 = ?
-32+24-8-4-2+5
-8-12+3
-20+3
-17
:>
Oscar and Eli set up a lemonade
stand. If they have prepared 23
gallons of lemonade, how many
1-cup servings can they sell?
Answer:
368 cups
Step-by-step explanation:
16 cups in a gallon
Multiply 16 by the 23 gallons
Receive the answer of 368
Hope this helps
Answer: 368
Step-by-step explanation:
1 US liquid gallon = 16 US cups
Multiply 16 times 23 to get 368
if the ratio of type O to non-type O donors at a blood drive was 37:43. how many would be type O out of 300 donors? will try and mark brainliest . please show the work as well
Answer:
Step-by-step explanation:
Proportion of type O donors = 37/(37+43) = 37/80
300 × 37/80 = 138.75
139 donors out of 300 are type O.
A ratio shows us the number of times a number contains another number. The number of type O donors out of 300 is 139.
What is a Ratio?A ratio shows us the number of times a number contains another number.
Given that the ratio of type O to non-type O donors at a blood drive was 37:43. Therefore, the number of type O blood donors be represented by 37x and the number of non-type O blood donors be represented by 43x.
Now, the sum of type and non-type O donor is 300. Therefore, we can write,
37x + 43x = 300
80x = 300
x = 3.75
Further, the Number of type O donors out of 300 can be written as,
Number of type O donors out of 300 = 37x = 37(3.75) = 138.75 ≈ 139
Hence, the number of type O donors out of 300 is 139.
Learn more about Ratios here:
https://brainly.com/question/1504221
#SPJ2
Joe has 6 frogs, 8 hamsters, 9 goldfish, and 3 snakes. What is the ratio of Joe's frogs and snakes to hamsters?
Answer:
9:8
Step-by-step explanation:
According to the word problem, Joe has 6 frogs, 8 hamsters, 9 goldfish, and 3 snakes.
The question is asking the ratio of Joe's frogs AND snakes TO hamsters.
To find out the ratio of frogs and snakes, add how many frogs there are to how many snakes there are.
6 + 3 = 9.
The last part of the equation should be obvious.
There are 8 hamsters.
Therefore, the ratio of Joe's frogs and snakes to hamsters is 9:8.
A rocket takes off from a height of 30 feet with an initial velocity of 150 ft /sec. The equation that models the path that the rocket takes is: G(x) = -16x^2+150x+30
Answer:
The rocket will hit the floor at 9.57 seconds
Step-by-step explanation:
Given
[tex]G(x) = -16x^2 + 150x + 30[/tex]
Take off height = 30ft
Initial velocity= 150ft/s
Required [Missing from the question]
Time to hit the ground
The rocket will hit the ground at:
[tex]G(x) = 0[/tex]
So, we have:
[tex]0 = -16x^2 + 150x + 30[/tex]
Rewrite as:
[tex]16x^2 - 150x - 30=0[/tex]
Solve using quadratic formula, we have:
[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
Where:
[tex]a= 16\\ b = -150\\ c = -30[/tex]
So, we have:
[tex]x = \frac{-(-150) \± \sqrt{(-150)^2 - 4*16*(-30)}}{2*16}[/tex]
[tex]x = \frac{150 \± \sqrt{22500 +1920}}{32}[/tex]
[tex]x = \frac{150 \± \sqrt{24420}}{32}[/tex]
[tex]x = \frac{150 \± 156.27}{32}[/tex]
Split:
[tex]x = \frac{150 + 156.27}{32}\ or\ \frac{150 - 156.27}{32}[/tex]
[tex]x = \frac{306.27}{32}\ or\ \frac{-6.27}{32}[/tex]
Time cannot be negative;
So:
[tex]x = \frac{306.27}{32}[/tex]
[tex]x = 9.57[/tex]
Hence, the rocket will hit the floor at 9.57 seconds
Which statement is NOT always true?
Answer:
are you in 8B
Step-by-step explanation:
It takes 100 maple trees to make 20 gallons of maple
syrup. How many maple trees will it take to make one
gallon of syrup? Justify your reasoning.
help pls pls pls gan i
Answer:
C. 5 units
Step-by-step explanation:
look at the graph to the left
this seems too easy so I'm probably wrong but thats how I read the question
A triangle has sides with lengths of 14 centimeters, 36 centimeters, and 39 centimeters. Is it a right triangle?
Answer:
no
Step-by-step explanation:
this is because it does not follow the pythogras theorem which states that a^2+b^2=c^2
kyra is 12 years old,and is twice as old as Aiden,who is 2 years younger than maya.how old is maya?
Answer:
4
Step-by-step explanation:
12 ÷ 2 which is 6 then 6-2 which is 4
Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AD = 12
and AC = 15, what is the length of AB in simplest radical form?
Answer:
x = 6
Step-by-step explanation:
let 'x' = BD
x/3 = 12/x
x² = 36
x = [tex]\sqrt{36}[/tex]
x = 6
ayo can yall help me plzzz
Answer:
I think it's either Wednesday or Sunday.
Step-by-step explanation:
Answer: the answer is d Wednesday.
Step-by-step explanation:
hope this helped ya bro! have a good day! :)
vertex and the y-intercept of the graph of the function .
y=-3(x+2)^2+5
Answer:
The vertex is (-2,5). And the y intercept of the graph is (0,-7)
Step-by-step explanation:
When x = 2 and y = 10 Write a formula for in terms of .
Answer:
y=mx-c
Step-by-step explanation:
follow to explain
how to calculate the number if 18 percent of diseases 52.2?
Answer:
18% of 52.2
18/100 of 52.2
=9.396b
그 기 . 1 1 키 Which normal distribution has the greatest standard deviation? O O 80 88 104 112
Answer:
그 기 = That Flag
키 = Key
I think it is 112.
Step-by-step explanation:
a bag has red, green and blue marbles. The probability of selecting a red marble is 1/3 and the probability of selecting a green marble is 2/5. Find the probability of selecting a blue marble
Answer:
I don't give answers sorry.
Step-by-step explanation:
What you would do is take 1 and subract the two probabilites from it. The equation should be [tex]1-\frac{1}{3} -\frac{2}{5}[/tex]. You can find a common denominator by making it both 15.
f (x) = 322 - 7x - 32 What is the value of f (-4)? A. -52 B. -12 O c. 44 D. 140
O valor de f(-4) é a opção D
Cual es el mejor estimado de la solucion de lsistema de ecuciones lineales graficadas. y=4x-4 2x+y=5
Answer:
x = 1.5, y = 2
Step-by-step explanation:
Cuando tenemos un sistema de ecuaciones lineales, para resolverlo gráficamente simplemente debemos graficar ambas líneas y ver en que punto las líneas se interceptan.
En este caso, tenemos las líneas:
y = 4*x - 4
2*x + y = 5
El primer paso puede ser escribir ambas líneas en forma estándar, así será más fácil graficarlas.
Para ello, aislamos y en ambas ecuaciones:
y = 4*x - 4
y = 5 - 2*x
Ahora que tenemos ambas líneas debemos graficarlas en un mismo eje de coordenadas, y buscar el punto en donde ambas líneas se interceptan.
Un gráfico de este sistema se puede ver abajo:
Viendo el gráfico, podemos estimar que la solución del sistema es el punto:
(1.5, 2)
Es decir, la solución es:
x = 1.5
y = 2
Solamente para ser completos, también podemos resolver el sistema analíticamente y ver si la solución que encontramos gráficamente es aceptable.
Para ello escribimos el sistema:
y = 4*x - 4
y = 5 - 2*x
Como y esta aislada en ambas ecuaciones, tendremos:
4*x - 4 = y = 5 - 2*x
4*x - 4 = 5 - 2*x
Ahora podemos resolver esto para x.
4*x + 2*x = 5 + 4
6*x = 9
x = 9/6 = 3/2 = 1.5
Remplazando este valor de x en cualquiera de las dos líneas obtendremos el valor de y de la solución:
y = 4*x - 4 = 4*1.5 - 4 = 6 - 4 = 2
Así probamos analíticamente que la solución es x = 1.5, y = 2.
Find the circumference of each circle. Use 3.14 or 22/7 for Pi. Round to the nearest tenth if necessary.
Answer:
50.27
Step-by-step explanation:
Give me Brainllest
Simplificación de la raíz cuadrada de 50
Answer:[tex]5\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{50}[/tex] ==>
2x25 ==> El 25 lo puedes reducir más ==> 5x5
Como el 5 tiene dos numero que se multiplican por si mismo se convierte en uno solo y va fuera de la raiz cuadrada.
Como el 2 que multiplicaste por 25 ya no se puede reducir y no tiene par, va adentro de la raiz cuadrada.
Resultado:
[tex]5\sqrt{2}[/tex]