Answer:
[tex]\huge\boxed{-3\overrightarrow{a}+5\overrightarrow{b}=\left<-21;\ 2\right>}[/tex]
Step-by-step explanation:
[tex]\overrightarrow{a}=\left<2;\ 6\right>\\\\\overrightarrow{b}=\left<-3;\ 4\right>\\\\-3\overrightarrow{a}+5\overrightarrow{b}=-3\left<2;\ 6\right>+5\left<-3;\ 4\right>=\left<-3\cdot2;\ -3\cdot6\right>+\left<5\cdot(-3);\ 5\cdot4\right>\\\\=\left<-6;\ -18\right>+\left<-15;\ 20\right>=\left<-6+(-15);\ -18+20\right>=\left<-21;\ 2\right>[/tex]
The selling price of a car is $11,000. Each year, it loses 17% of its value.Find the exponential function that gives the value of the car t years after its purchase. Write your answer in the form f(t)=a(b)t.
Answer:
The answer is "[tex]\bold{11000(0.83)^t}[/tex]".
Step-by-step explanation:
[tex]\bold{ \text{selling price}} = \$ 11,000 \\\\\bold{ \text{loses}} = 17 \%[/tex]
[tex]\bold{\to f(t)= c (1-r)^t} \\\\[/tex]
[tex]=11,000 (1- 0.17)^t\\\\=11,000(0.83 )^t[/tex]
2 ÷ 16/7 then put it in its simplest form (it will be a mixed number)
Answer:
1 1/7
Step-by-step explanation:
Answer:
8/7
Step-by-step explanation:
16/7=[tex]\frac{16}{7} \\[/tex] then divide it by 2 and you get 8/7
Write the ordered pair for point H.
1. 3, -5
2. 5, -3
3. -5, 3
4. -3, 5
5. -3, -5
Answer:
Number 4 is the correct answer: (-3, 5)
MO bisects ∠LMN, m∠NMO =6x-20,and 2x+36. Solve for x and find m∠LMO
Answer:
fwe
Step-by-step explanation:
Four college friends (one is named Cathy) were all accepted to a graduate school.
Answer:
Wow that is great
Step-by-step explanation:
is there a question? uhhhmmmmm
PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
Answer:
Point C
Step-by-step explanation:
Since -0.095 is less negative than -0.1 it will be closer to zero and this number line more towards the right. since each dash in the line represents 0.01 and the difference between -0.1 and -0.095 is only 0.005 it will be really close to -0.01.
Consider the hexagon ABCDEF what is the value of X? What is the measure of angle A? what is the measure of angle BCG?
Answer:
x = 52.5
<A = 152.5°
<BCG = 45°
Step-by-step Explanation:
Sum of interior angles of n-sided polygon = (n - 2)180
Sum of interior angles of hexagon = (6 - 2)180 = 4(180) = 720°
Therefore, sum of all the interior angles in the given hexagon = 720.
Thus:
3x - 5 + 2x + 140 + 135 + 2x + 30 + x = 720
Solve for x. Add like terms.
8x + 300 = 720
Subtract 300 from both sides
8x = 720 - 300
8x = 420
Divide both sides by 8
8x/8 = 420/8
x = 52.5
<A = (3x - 5)
Plug in the value of x
<A = 3(52.5) - 5 = 152.5°
<BCG = 180 - (2x + 30) (angles on a straight line)
Plug in the value of x
<BCG = 180 - (2(52.5) + 30)
<BCG = 180 - (105 + 30)
<BCG = 180 - 135
<BCG = 45°
can somebody PLZ HELP ME ASAP!!
Answer:
34 days 4 hours and 40 minutes
Step-by-step explanation:
First convert 3,962km to miles.
There are 1.609km in 1 mile so:
3,962km/1.609km = 2461.87 miles ≈ 2,462mi
If your walking speed is 3mph then divide the distance by 3.
2462/3 = 820.67hours.
Let's figure out the number of days, hours, minutes.
820.67hr/24 = 34.1944 days since we have a fraction of a day, let's figure out hours.
.1944 x 24 = 4.6666 So 4 hours and some minutes, let's figure out the minutes.
.66666 x 60 = 40
At 3mph it will take you 34 days 4 hours and 40 minutes to walk from New York to Los Angeles if you take no breaks and don't sleep.
What is the degree of the following polynomial?
Answer:
4th degree, so option 2
Step-by-step explanation:
the graph has 4 zeros (coordinates where y=0)
Monica works at a local bike shop. On Friday, she sold 5 mountain bikes and 10 road bikes. On Saturday, she sold 9 mountain bikes and 15 road bikes. Did Monica sell the same ratio of mountain bikes to road bikes on both days?
Answer:
they aren't the same ratio
Step-by-step explanation:
ratio of 5:10 then 9:15
5/10 and 9/15
and that is simplified
2.5/5 and 3/5 so they aren't the same ratio
Si la mitad del reciproco de un numero se suma al duplo del reciproco de otro, la suma es uno mas que el reciproco del primer numero. la diferencia de los reciprocos de los numeros es una decima.
Answer:
Ambos números son [tex]-\frac{25}{8}[/tex] y [tex]\frac{50}{21}[/tex]
Step-by-step explanation:
La mitad de una cantidad es el resultado de partir en dos partes iguales dicha cantidad, siendo cada una de esas partes es la mitad de la cantidad inicial. Por lo que la mitad de un número se calcula dividiendo el número por 2.
El recíproco o inverso multiplicativo de un número x es el número que, cuando es multiplicado por x , da 1. Es decir, el producto de un número y su recíproco es 1. Para obtener el recíproco de un número, sólo divide 1 por el número. Entonces el reciproco de un numero cualesquiera x es [tex]\frac{1}{x}[/tex].
El doble o duplo de un número se calcula multiplicando el número por 2.
La diferencia es el resultado de la resta o sustracción.
Entonces:
La mitad del reciproco de un numero: siendo el número x, entonces esto se expresa como [tex]\frac{1}{x}[/tex]÷2El duplo del reciproco de otro numero: siendo el número y, entonces podes expresar [tex]\frac{1}{y}[/tex]*2Uno más que el reciproco del primer numero: [tex]\frac{1}{x}+1[/tex]Entonces:
[tex]\frac{1}{x}[/tex]÷2 + [tex]\frac{1}{y}[/tex]*2 = [tex]\frac{1}{x}+1[/tex] Ecuación (A)
Siendo la diferencia de los recíprocos de los números igual a una decima, entonces
[tex]\frac{1}{x}+\frac{1}{y}=\frac{1}{10}[/tex] Ecuación (B)
Entonces, de la ecuación (B) se obtiene:
[tex]\frac{1}{y}=\frac{1}{10}-\frac{1}{x}[/tex] Ecuación (C)
Reemplazando en la ecuación (A):
[tex]\frac{1}{x}[/tex]÷2 +( [tex]\frac{1}{10}-\frac{1}{x}[/tex])*2 = [tex]\frac{1}{x}+1[/tex]
Resolviendo:
[tex]\frac{1}{x}[/tex]÷2 + [tex]\frac{1}{10}*2-\frac{1}{x}*2[/tex] = [tex]\frac{1}{x}+1[/tex]
[tex]\frac{1}{x}[/tex]*[tex]\frac{1}{2}[/tex] - [tex]\frac{1}{x}*2[/tex] - [tex]\frac{1}{x}[/tex]= 1- [tex]\frac{1}{10} *2[/tex]
[tex]-\frac{5}{2}*\frac{1}{x}=\frac{4}{5}[/tex]
[tex]\frac{1}{x} =\frac{4}{5}[/tex] ÷ [tex](-\frac{5}{2})[/tex]
[tex]\frac{1}{x} =-\frac{8}{25}[/tex]
[tex]x=-\frac{25}{8}[/tex]
Entonces, reemplazando en ecuación (C)
[tex]\frac{1}{y}=\frac{1}{10}-\frac{1}{-\frac{25}{8} }[/tex]
[tex]\frac{1}{y}=\frac{1}{10}+\frac{8}{25}[/tex]
[tex]\frac{1}{y}=\frac{21}{50}[/tex]
[tex]y=\frac{50}{21}[/tex]
Entonces, ambos números son [tex]-\frac{25}{8}[/tex] y [tex]\frac{50}{21}[/tex]
Usando un sistema de ecuaciones, se encuentra que los números son: [tex]-\frac{1}{4}, -2[/tex]
Un número es llamado de x, el otro de y.Los recíprocos son: [tex]\frac{1}{x}, \frac{1}{y}[/tex]Si la mitad del reciproco de un numero se suma al duplo del reciproco de otro, la suma es uno mas que el reciproco del primer numero, o sea:
[tex]\frac{1}{2x} + \frac{2}{y} = 1 + \frac{1}{x}[/tex]
La diferencia de los reciprocos de los numeros es una decima, o sea:
[tex]\frac{1}{x} - \frac{1}{y} = 10[/tex]
[tex]\frac{y - x}{xy} = 10[/tex]
[tex]y - x = 10xy[/tex]
[tex]y = 10xy + x[/tex]
[tex]y = x(10 + y)[/tex]
[tex]x = \frac{y}{10 + y}[/tex]
Reemplazando en la primera ecuación:
[tex]\frac{1}{2x} + \frac{2}{y} = 1 + \frac{1}{x}[/tex]
[tex]\frac{10 + y}{2y} + \frac{2}{y} = 1 + \frac{10 + y}{y}[/tex]
[tex]\frac{10 + y + 4}{2y} = \frac{y + 10 + y}{y}[/tex]
[tex]\frac{14 + y}{2y} = \frac{2y + 10}{y}[/tex]
[tex]14y + y^2 = 4y^2 + 20y[/tex]
[tex]3y^2 + 6y = 0[/tex]
[tex]3y(y + 2) = 0[/tex]
[tex]y + 2 = 0[/tex]
[tex]y = -2[/tex]
[tex]x = \frac{y}{10 + y} = \frac{-2}{10 - 2} = -\frac{1}{4}[/tex]
Los números son: [tex]-\frac{1}{4}, -2[/tex]
Un problema similar es dado en https://brainly.com/question/24646137
Three students attempt to define what a line segment is.
Answer:
Duru's definition: A line segment is a line connecting two endpoints. Oliver's definition: A line segment is when three points are all on the same line.
Select the values that make the statement true.
StartFraction n Over 100 EndFraction = StartFraction 1 Over d EndFraction = p%
n =
d =
p =
Answer:
Select the values that make the statement true.
StartFraction n Over 100 EndFraction = StartFraction 1 Over d EndFraction = p%
n =
✔ 5
d =
✔ 20
p =
✔ 5
Step-by-step explanation:
PLZ give brainliest!!! <3
What is the y-intercept of the line 3x – 7y = 42?
(0, -6)
(-6, 0)
(0, 14)
(14, 0)
please dont jus put something random i will report it.
helpp meeee will award brainliest
A state lottery game consists of choosing one card from each of the four suits in a standard deck of playing cards. (There are 13 cards in each suit.)
Count the number of ways in which four cards, each of a different face value, can be chosen.
ways
Answer:
17160
Step-by-step explanation:
first there are 13 options
then there are 13 - 1 that was chosen
then there are 13 - 2 that were chosen
then there are 13 - 3 that were chosen
so that's 13 options, then 12 options, then 11 options, and then 10 options
and in order to figure out all of the possibilties we mutiply the options so
13*12*11*10 = 17160
little further explaining of why this works:
we have a set of letters (3 in a set)
A B C
what are the possible combinations?
AB
AC
BC
BA
CA
CB
the answer is 6 which is also 3 * 2 * 1 = 6
HOPE THAT HELPS!1! ^_^
Using the Fundamental Counting Theorem, it is found that there are 28,561 ways in which four cards, each of a different face value, can be chosen.
Fundamental counting theorem:
States that if there are n things, each with [tex]n_1, n_2, …, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem, four cards are chosen, each with 13 ways, hence [tex]n_1 = n_2 = n_3 = n_4 = 13[/tex], and:
[tex]T = 13 \times 13 \times 13 \times 13 = 13^4 = 28561[/tex]
There are 28,561 ways in which four cards, each of a different face value, can be chosen.
A similar problem is given at https://brainly.com/question/19022577
6th grade ratios 50 pts
Answer:
13 milliliters
Step-by-step explanation:
it is 13
A triangle has side links of 16 cm, 63 cm, and 64 cm. Classify it as acute, obtuse, or right
Answer:
acute
Step-by-step explanation:
All sides are smaller than 90 degrees
help please?
What is the value of 4x + 3y - z, when x = 2, y = -3 and z = 1 *
Answer:
-2
Step-by-step explanation:
When you fill it in you get 4(2)+3(-3)-1 then multiply and add
What do you know about the slope of two parallel lines? *
They have the opposite sign of each other
They are reciprocals of each other
They have the same slope
They have negative reciprocal slopes
Answer:
same slope
Step-by-step explanation:
if it has the same slope then the you will know the two lines are parallel
hope this helps
brainliest?
A store has 2 times as hooded sweatshirt as crewneck sweatshirts. The total number of sweatshirts is 36. How many hooded sweatshirts does the store have?
Answer:
Answer below
Step-by-step explanation:
It would be 36×2=72
since we're doubl8ng it so there would be 72 hooded sweatshirts
Answer:
24 Hooded Sweatshirts
Step-by-step explanation:
36/3=12
2x12=24 or hooded sweatshirts
1x12=12 or crewneck sweatshirts
12+24=36 total sweatshirts :)
Two taxi companies in a city only charge by mileage and do not charge an initial fee. If Taxi 1 charges $3.00 per miles and Taxi 2 charges $1.77 per kilometer. Determine how much a 12 mile ride will cost in each taxi. There are 1.61 kilometers in every mile.(1 point) A 12 mile ride in Taxi 1 costs $34.20, and in Taxi 2 it costs $36.00 A 12 mile ride in Taxi 1 costs $36.00, and in Taxi 2 it costs $13.19 A 12 mile ride in Taxi 1 costs $34.00, and in Taxi 2 it costs $34.20 A 12 mile ride in Taxi 1 costs $36.00, and in Taxi 2 it costs $34.20
Answer:
A 12 mile ride in Taxi 1 costs $36.00, and in Taxi 2 it costs $34.20.
Step-by-step explanation:
Given that:
Charges of taxi 1 = $3.00 per mile
Charges of taxi 2 = $1.77 per kilometer
1 mile = 1.61 kilometers
To find:
Cost of a 12 miles ride for taxi 1 and taxi 2.
Solution:
Let us first convert the charges of each taxi to per mile.
Taxi 1 charges are already given in per mile.
Charges for 1 mile = $3
Charges for 12 miles = 3 [tex]\times[/tex] 12 = $36
Taxi 2 charges = 1.77 [tex]\times[/tex] 1.61 = $2.85 per mile
Charges for 12 miles = 2.85 [tex]\times[/tex] 12 = $34.20
Therefore, the answer is:
A 12 mile ride in Taxi 1 costs $36.00, and in Taxi 2 it costs $34.20.
select 3 names for the angle.
HELP ME PLS ITS DUE TODAY :((
Answer:
3 8
18 48
22.5 60
27 72
Step-by-step explanation:
3:8 ratio
18/3=6
8*6=48
Answer:
48
60
72
Step-by-step explanation:
1. Find the number of times x or the first column numbers are multiplied to get y or the second column numbers.
2. Equation: 3*?=8, ? = 8/3
3. Multiply all of the other numbers by 8/3 to get the answers.
4. 3*8/3=8, 18*8/3=48, 22.5*8/3=60, 27*8/3=72.
Answers: 48, 60, 72
Please Assist!
What is the answer to this question???
Answer:
[tex](-5,\frac{1}{2} )[/tex]
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )[/tex]
Simply plug in your coordinates into the midpoint formula to find midpoint:
R(-2, 3)
S(-8, -2)
[tex](\frac{-2+-8}{2},\frac{3+-2}{2} )[/tex]
[tex](\frac{-10}{2},\frac{1}{2} )[/tex]
[tex](-5,\frac{1}{2} )[/tex]
when is the function decreasing?
A. (15, 40)
B. (30, 55)
C. (60, -40)
D. (40, 60)
Where is the point (-8,0) located on the coordinate plane?
1. On the X-axis
2. In quadrant ll
3. In quadrant lll
4. On the y-axis
Write the equation and slope intercept form: y-4=2(x+3)
Answer:
y = 2x + 10
Step-by-step explanation:
Remember, slope-intercept form is:
y = mx + b
where m is the slope and b is the y-intercept.
To write the equation in slope-intercept form, we can just solve the equation for slope-intercept form.
y - 4 = 2(x + 3)
Distribute the 2 on the right side.
y - 4 = 2x + 6
Add 4 to both sides.
y = 2x + 10
Notice, now we have the equation in slope-intercept form.
I hope this helps. Happy studying.
Write a positive or negative integer that represents the situation.
An elevator goes down 8 floors.
miles say that, when a is any integer greater than 0, the value of a^-3 is always less than -a^3 because the exponent in a^-3 is less than the exponent in -a^3. is miles reasoning correct?