Answer:
Step-by-step explanation:
How to write the rule of a function given the table of values. To write the rule of a function from the table is somehow tricky but can be made easier by having prior knowledge of the type of function. If the function is a linear function, plugging any two sets of values from the table into the equation y = ax + b, where a and b are constants to be found and x, y are values taken from the table. Solving the two equations obtained simultaneously gives the values of a and b and hence the required rule.
Similarly, if the function is a quadratic equation, plugging any three sets of values from the table into the equation y = ax^2 + bx + c, where a, b, c are constants to be found and x, y are values taken from the table. Solving the three equations obtained simultaneously gives the values of a, b and c and hence the required rule. For tables with no prior knowledge of the type of function, a series of trial and error will lead us to the solution of the problem.
Caroline leaves her apartment and walks 45° north of west for 1000 feet and then walks 200 feet due north to go to the grocery store. How far and at what north of west
quadrant is Caroline from being at her apartment?
Answer:
1150 ft W 52° N
Step-by-step explanation:
There are several ways a problem like this can be solved. Perhaps the easiest is to make use of a suitable vector calculator.
Using West as the reference for angles measured clockwise (toward north), the final position is ...
1000∠45° +200∠90° = 1150.149∠52.063°
__
You can also figure this using the Law of Cosines. It will tell you the resultant distance (c) in terms of the individual distances (a, b) and the angle between them (135°).
c² = a² +b² -2ab·cos(C)
c² = 1000² +200² -2·1000·200·cos(135°) ≈ 1,322,842.7
c ≈ √1322842.7 ≈ 1150.149
The angle difference from 45°N can be found using the Law of Sines.
sin(B)/b = sin(C)/c
B = arcsin(b/c·sin(C)) = arcsin(200/1140.149·sin(135°)) ≈ 7.063°
This means Caroline's bearing from home is 45° +7.063° ≈ 52° north of west.
Caroline's final position is 1150 W 52° N in relation to her home.
find the slope of the line
Answer:
The slope of the line is 1
Step-by-step explanation:
I picked two points on the line: (0,3) and (-3,0). Then, I used the formula for slope which is the change in y over the change in x and got the answer 1.
a) ( -14) + 5 + 17 + 14
Answer:
= 22 is the answer, if I got it wrong I tried to help
Answer:
22
Step-by-step explanation:
Please give BRANIEST and heart!
Show me the
volume of a cube
with side lengths
of 2
Answer:
8
Step-by-step explanation:
v=l*w*h so 2^3=8
PLZ HELPPPPPPPPP MY SWAGGERS
Answer:
9
Hope this helps, have a nice day/night! :D
How do I know if the point will be above the line
Answer: Para demostrar cómo calcular esto, digamos que tenemos una línea que pasa por un punto p con dirección v, es decir, parametrizada como \ gamma (t) = \ mathbf {p} + t \ mathbf {v}.
Sea L una rotación de 90 grados hacia la izquierda. Entonces, un punto x está a la izquierda de su línea si \ langle \ mathbf {x} - \ mathbf {p}, L \ mathbf {v} \ rangle es positivo, a la derecha si es negativo, y en la misma línea si es cero.
Respuesta 2:
Una línea en un plano no tiene un lado preferido, por lo que sin algo que distinga los lados de una línea, no puede haber una cuestión de qué lado de una línea se encuentra un punto.
Sin embargo, puede preguntar si dos puntos en ese plano, no en la línea, se encuentran en el mismo lado de la línea. Si el segmento de línea entre esos dos puntos se cruza con la línea, entonces se encuentran en lados opuestos de la línea; de lo contrario, se encuentran en el mismo lado de la línea.
Respuesta 3:
Trace la línea en una gráfica, digamos x = y. Cualquier coordenada de un punto donde xey son =, entonces se encuentra en la línea (17,17).
Si x es mayor que y, nuestro punto estará por debajo de la línea (3,2).
Si y es mayor que x, el punto estará por encima de la línea (1,2).
Si su línea es y = 2x, entonces y tendría que ser mayor que 2x para estar por encima de la línea.
Nuestra comparación en este gráfico xy está por encima o por debajo. Esto se debe a que generalmente hacemos referencia a nuestra línea ay =. Si lo reescribimos como x =, nuestra misma línea comparada con x sería a la izquierda o derecha de.
Step-by-step explanationNuestra comparación en este gráfico xy está por encima o por debajo. Esto se debe a que generalmente hacemos referencia a nuestra línea ay =. Si lo reescribimos como x =, nuestra misma línea comparada con x sería a la izquierda o derecha de.:
A school choir is made up of girls and boys in the ratio 4:3.There are 35 students altogether. How many students are boys.
Answer:
15 boys
Step-by-step explanation:
Step 1: Set up the equation.
[tex]4x + 3x = 35[/tex]Step 2: Combine like terms.
[tex]7x=35[/tex]Step 3: Divide both sides by 7.
[tex]\frac{7x}{7} =\frac{35}{7}[/tex] [tex]x = 5[/tex]Step 4: Plug in the value of 5 for x in 3x.
[tex]3(5)[/tex] [tex]15[/tex]Therefore, the answer is 15 boys.
show that 296 not not a perfect number
Step-by-step explanation:
in which the sum of all it's factor are twice of that no... factor of 296 =1,2,4,8,37........Solve the linear systems using multiplication 6x - 12y = 15;2x - 4y = 6 -
Answer:
your answer would be 1
Step-by-step explanation:
The whole equation is divided by 3 to get 2x-4y=5, but since there is a 6 we need to subtract 1 away to get 5.
robin counts by 7 to 70. how many off numbers does robin say ?
Answer:
10
Step-by-step explain
If your restaurant bill was $24.67 and there is a 7% tax, how much total would you have to pay? (round to nearest hundredth)
Answer:
1.73
Step-by-step explanation:
The cost of videotaping a basketball tournament is modeled by the function f(x) = 20x + 350 where x represents the cost of each video. What is the rate of change for this scenario ?
Step-by-step explanation:
the factor of x : 20 or 20/1
that means with each additional videotaping (number of tapings goes up by +1) the cost goes up by +20.
what is the probability of drawing a red marble then a white marble if there are 3 red marbles and 2 white marbles
Answer:
3/5
Step-by-step explanation:
24 pens in 2 boxes How many pens in 1 box?__________
find unit rate
[-2], absolute value of -2 is:
Answer:
answer is 2
Step-by-step explanation:
absolute value of -2 is 2
Answer:
2
Step-by-step explanation:
Consider the equation:
X^2=6x+1
1) Rewrite the equation by completing the square.
Your equation should look like (2 - 0) = bor (2-c)? = d
2) What are the solutions to the equation?
Choose 1 answer
Answer:
(2-c)=d
Step-by-step explanation:
completing the square
hope it can help you lovelots
Peter was thinking of a number. Peter adds 8 to the number, then doubles the result to get an answer of 57.4. Form an equation with
x
from the information.
Answer:
x+8*2=57.4
x=41.4
Step-by-step explanation:
Peter is thinking about a number. So, let's represent that number by x. So, he adds 8 to that number. x+8 so far. Then he doubles the result. x+8*2 to get an answer of 57.4. x+8*2=57.4. Ok, now in order to solve for x we would take 8*2 and get 16. 57.4-16=41.4. Now we know that x is 41.4. Substitute x into the equation. 41.4+8*2=57.4. 57.4=57.4. Have a great day! :)))))
The sum of three times a number and −4 is at most 17.
Answer:
7
Step-by-step explanation:
17 +4 = 21
21/3 = 7
Your 12 turkeys drink 7.6 L of water a day. How
much water does one turkey drink per day?
answer the question in the picture
Answer:
A and D
Step-by-step explanation:
Rational numbers that can be written as a fraction of two integers (without a denominator of 0).
The other three cannot be written as a fraction or two integers.
PLEASE HELP ASAP!!!!!!! I GIVE BRAINLIEST AND POINTS! PLZ NO LINKS I GRINDED FOR THESE POINTS
LOOK AT THE PIC BELOW
[tex]\\ \rm\leadsto a^2(a^4)^3\div a^{13}[/tex]
[tex]\\ \rm\leadsto a^2a^{12}\div a^{13}[/tex]
[tex]\\ \rm\leadsto a^{14}/a^{13}[/tex]
[tex]\\ \rm\leadsto a[/tex]
Answer:
[tex]a^2 \cdot \left(a^4\right)^3 \div a^{13}=a[/tex]
Step-by-step explanation:
Given expression:
[tex]a^2 \cdot \left(a^4\right)^3 \div a^{13}[/tex]
[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]
[tex]\implies a^2 \cdot a^{(4 \cdot 3)} \div a^{13}[/tex]
[tex]\implies a^2 \cdot a^{12} \div a^{13}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}:[/tex]
[tex]\implies a^{(2+12)} \div a^{13}[/tex]
[tex]\implies a^{14} \div a^{13}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^b \div a^c=a^{b-c}:[/tex]
[tex]\implies a^{(14-13)}[/tex]
[tex]\implies a^1[/tex]
[tex]\textsf{Apply exponent rule} \quad a^1=a:[/tex]
[tex]\implies a[/tex]
Learn more about exponent rules here:
https://brainly.com/question/27859523
WHAT IS THE ANSWER?????
Answer:
to what?
Step-by-step explanation:
there's nothing
NEED HELP FAST WILL GIVE BRAINLIEST
Consider w = 4(cos(pi/2)+i sin(pi/2) and z=3(cos(3pi/2) +i sin(3pi/2)). What is w +z expressed in polar form?
A. Cos(0) + sin(0)
B. Cos(pi/2)+ isin (pi/2)
C. Cos(pi)+ isin (pi)
D. Cos(3pi/2) +isin (3pi/2)
Answer:
B. cos(pi/2) +i·sin(pi/2)
Step-by-step explanation:
You can convert to rectangular and back, or you can use the trig function relations directly.
w = 4·cis(π/2) = 4i
z = 3·cis(3π/2) = -3i
Then the sum is ...
w +z = 4i -3i = i = cis(π/2) . . . . matches choice B
__
An alternative representation of z is ...
z = -3·cis(π/2)
Then ...
w +z = 4·cis(π/2) -3·cis(π/2) = cis(π/2)
_____
Additional comment
In the above, we have used cis(α) to represent (cos(α) +i·sin(α)).
4/7 of the T-shirts in a crate are in size S. The rest are in size M and L.
The ratio of the number of T-shirts in size M to the number of T-shirts in
size L is 2:3. There are 48 more T-shirts in size L than in size M. Find the number of T-shirts in size S.
Answer:get scammed 4/7 of the T-shirts in a crate are in size S. The rest are in size M and L.
The ratio of the number of T-shirts in size M to the number of T-shirts in
size L is 2:3. There are 48 more T-shirts in size L than in size M. Find the number of T-shirts in size S.
Step-by-step explanation:
solve for missing side of the right triangle, round to the nearest tenth .
5=r÷¼
How do I do this? This makes no sense to me
Answer: 5=rl
Step-by-step explanation:
Answer:
U can download apps to help u hope you find your answer
What is the base of 5^4?
Answer:
5 is the base
4 is the exponent
A new bank customer with $3,000 wants to open a money market account. The bank is offering a simple interest rate of 1.3% How much interest will the customer earn in 30 years
We must use the simple interest formula which is: A = P(1+rt) where
A = output amount , P = initial amount, r = rate as a decimal, and t = time.
so in this case we would write:
A(30) = P(1+rt) = 3000(1 + 0.013(30)) = 4170
We then see that A(30) is equal to $4170 at 30 years.
Marty's class collected $38.00 in a school-wide penny collection contest. If Tommy's class added $8.00 to the amount they collected, x, and then multiplied the sum by 2, they would have the same amount of money as Marty's class. how much money did tims class collect
Answer: $11
Step-by-step explanation:
To have the same:
11+8=19
19×2=38
Answer:
It would be $11
Step-by-step explanation:
Hope it helps (Could you mark brainliest please)
how do you draw the graph?
Answer:
right
Step-by-step explanation:
draw a line and right a number from 1 to 10