If two bumper cars traveling at the same speed and carrying the same amount of weight run into each other, they will bounce off and move an equal distance away from each other.

Answer:

The measure of the angle between the vectors = Ф = 11.30°

Step-by-step explanation:

Given

[tex]\mathrm{Computing\:the\:angle\:between\:the\:vectors}:\quad \cos \left(\theta \right)\:=\frac{\vec{a\:}\cdot \vec{b\:}}{\left|\vec{a\:}\right|\cdot \left|\vec{b\:}\right|}[/tex]

Next, find the lengths of the vectors:

[tex]\mathrm{Computing\:the\:Euclidean\:Length\:of\:a\:vector}:\quad \left|\left(x_1\:,\:\:\ldots \:,\:\:x_n\right)\right|=\sqrt{\sum _{i=1}^n\left|x_i\right|^2}[/tex]

u = ⟨2, –3⟩

[tex]\:\:\left|u\right|\:=\sqrt{2^2+\left(-3\right)^2}[/tex]

     [tex]=\sqrt{13}[/tex]

u = ⟨2, –3⟩

[tex]|v|=\sqrt{1^2+\left(-1\right)^2}[/tex]

    [tex]=\sqrt{2}[/tex]

Finally, the angle is given by:

[tex]\mathrm{Computing\:the\:angle\:between\:the\:vectors}:\quad \cos \left(\theta \right)\:=\frac{\vec{a\:}\cdot \vec{b\:}}{\left|\vec{a\:}\right|\cdot \left|\vec{b\:}\right|}[/tex]

cos (Ф) = 5/√26

Ф = arc cos (cos (Ф)) = arc cos (5 √26) / (26)

Ф = 11.30°

Thus, the measure of the angle between the vectors = Ф = 11.30°

Answer:

The Answer is A. 11.3

Step-by-step explanation:

got it right. Also thats just the letter answer  :)

Step-by-step explanation:

I believe it will be B. -318 meters

not entirely sure but that's what I think so hope this help and sorry if I'm wrong

Answer:

{1,2,29,58}

Step-by-step explanation:

As the only factors of 58 are {1,2,29,58} , there are no two consecutive integers whose product is 58

Answer:

1,2,29.58

Step-by-step explanation:

:)

Answer: The dependent variable is the Y axis of a graph, or the side of the graph that is vertical. The independent variable is the X axis of a graph, or the side of the graph that is horizontal. Domain is the input of a mathematical function, and the range is the output!

Hope this helps :)

range is the difference between the largest and smaller; “ To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.”

domain is the set of all possible x-values which will make the function able to work and will output real y-values. You must remember that in a function x can NEVER have more than one output (y)

“A independent variable is a variable (often denoted by x ) whose variation does not depend on that of another”. The independent variable is the variable the experimenter changes or controls and is assumed to have a direct effect on the dependent variable

“A dependent variable is a variable (often denoted by y ) whose value depends on that of another.” The dependent variable is the variable being tested and measured in an experiment, and is 'dependent' on the independent variable.

I hope that was understandable

Answer:

B

Step-by-step explanation:

(15^3)^3 because the exponent outside of the parentheses multiplies both the 15 and the exponent inside the parentheses, so it's not 15^6, its 15^2 ^6

Answer:

true

Step-by-step explanation:

taking the test

When solving an absolute value inequality, the fact of whether it is a "greater than/greater than or equal to" as opposed to "less than/less than or equal to" will change the way to solve. It is True.

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true.

These values are called solution to that equation or inequality.

A Set of such values is called solution set to the considered equation or inequality.

When solving an absolute value inequality, the fact of whether it is a "greater than/greater than or equal to" as opposed to "less than/less than or equal to" will change the way you solve the problem, depending on which sign it is.

The given statement for inequality is True.

Learn more about inequalities here:

https://brainly.com/question/27425770

#SPJ2

Answer:

Step-by-step explanation:

Step one:

given data

initial height of plane= 20000ft

rate of descending= 25ft per minute

let x be the number of minutes it took the plane to descend

and let y be the height after x minutes

Step two:

Required

the mathematical expression for the height

the expression for the situation mathematically is

y=20000-25x

Answer:

1

Step-by-step explanation:

i think i helped successfully

Answer:

y= 1

Step-by-step explanation:

In the equation, the 1 means that it's the y-intercept

And whenever x is 0, then the y value is the y-intercept

So since x=0, then y=1

Answer:

actually it's 10.2 miles

Step-by-step explanation:

he drove six miles at first and than 8 miles south, afterwards he hiked the rest of the way to the top.

Answer:

y=3/2x-8

Step-by-step explanation:

Step 1: Begin by distributing the 3/2 to the parentheses. This would result with 3/2x-6.

Step 2: Subtract both sides by 2 to isolate the variable, y. This would result with y=3/2x-8.

Answer:

1. (0,5)

2. 3 / -1

3. F(x) = -3x + 5

Answer:

p = −7

Step-by-step explanation:

96=−8(p−5)

96=(−8)(p)+(−8)(−5)(Distribute)

96=−8p+40

Step 2: Flip the equation.

−8p+40=96

Step 3: Subtract 40 from both sides.

−8p+40−40=96−40

−8p=56

Step 4: Divide both sides by -8.

−8p /−8 = 56 /−8

Answer:

40.17

Step-by-step explanation:

4 ten: 4 × 10 = 40

17 hundredth: 17 × 0.01 = 0.17

4 ten and 17 hundredth in decimals: 40 + 0.17 = 40.17

Answer:

Se requiere $22 para comprar 1 kg de tomate y $21 para comprar 1 kg de frijol.

Step-by-step explanation:

Un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.

Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema.

En este caso es necesario plantear un sistema de ecuaciones. Entonces, en primer lugar es necesario plantear las variables:

Martha compró 4kg de tomate y 2kg de frijol y pago con $130. Esto se expresa mediante la ecuación: 4*x + 2*y= 130

El hermano de Martha pagó $85 por la compra de 1kg de tomate y 3kg de frijol. Esto se expresa como: x+3*y=85

Entonces, el sistema de ecuaciones a resolver es:

[tex]\left \{ {{4*x+2*y=130} \atop {x+3*y=85}} \right.[/tex]

Existen varios métodos para resolver un sistema de ecuaciones, siendo uno de ellos el método de sustitución, que consiste en despejar o aislar una de las incógnitas (por ejemplo,  x ) y sustituir su expresión en la otra ecuación. De este modo, obtienes una ecuación de primer grado con la otra incógnita,  y . Una vez resuelta, calculas el valor de  x  sustituyendo el valor de  y  ya conocido.

En este caso, en primer lugar despejas x de la segunda ecuación:

x= 85 -3*y

Reemplazando en la primer ecuación:

4*(85-3*y) +2*y=130

y resolviendo obtienes:

4*85 -4*3*y + 2*y=130

340 - 12*y + 2*y=130

-12*y + 2*y=130-340

-10*y=-210

y=(-210)÷(-10)

y=21

Reemplazando en la expresión obtenida anteriormente, x= 85 -3*y, se obtiene:

x=85 - 3*21

x=85 - 63

x=22

Se requiere $22 para comprar 1 kg de tomate y $21 para comprar 1 kg de frijol.

Para comprar un kilo de tomate se requieren $22, y para comprar un kilo de frijol se requieren $21.

Dado que Martha compro 4kg de tomate y 2kg de frijol y pago con $130, mientras que su hermano pago $85 por la compra de 1kg de tomate y 3kg de frijol, para determinar cuánto dinero se requiere para comprar 1kg de tomate y 1kg de frijol  se debe realizar el siguiente cálculo:

Por lo tanto, para comprar un kilo de tomate se requieren $22, y para comprar un kilo de frijol se requieren $21.

Aprende más en https://brainly.com/question/22918730

Answer:

3

Step-by-step explanation:

Y OVER X is the answer .

Answer:

3.36in

Step-by-step explanation:

The total surface area of the cardboard is expressed as;

TSA = 2(LW + LH + WH)

L is the length = 4in

W is the width

H is the height = 7in

TSA = 130in²

Substitute the given values into the formula and get the width W

TSA = 2(LW + LH + WH)

130 = 2(4W+4(7) + 7W)

130 = 2(11W+28)

130 = 22W+56

22W = 130 - 56

22S = 74

W = 74/22

W = 3.36in

hence the width of the photo is 3.36in

Answer:

Ok so its (0,-1),(0.333,0)

Step-by-step explanation:

Answer:

8.5% interest would yield $170 annually for a total interest earnings of $513

Step-by-step explanation:

Answer:

I believe the answer is 210.

Step-by-step explanation:

Answer:

Assume the unknown value is 'Y'

189 = 90% x Y

189 =

90

100

x Y

Multiplying both sides by 100 and dividing both sides of the equation by 90 we will arrive at:

Y = 3 x

100

90

Y = 210%

Answer: 189 is 90 percent of 2

Step-by-step explanation:

theres a another way

189x100÷90 which your answer will give 210

Answer:

4/5 make me brainliest

Step-by-step explanation:

Answer:

B. 4/5

Step-by-step explanation:

We know that 80% as a fraction is 8/10, but that is not simplified. Both of the numbers have a common factor. We need to divide both by the GCF (Greatest Common Factor). The GCF of both numbers is 2. 8/2 is 4, and 10/2 is 5. That means the answer is 4/5. I hope this helps!

Answer:

2 secs after

Step-by-step explanation:

Given the height of the object modeled by the eqaution;

H(t) = 32T - 16T² where;

T is the time in seconds

The object hits the ground when h(t)= 0

Substitute H = 0 into the equation and get t as shown;

0 =  32T - 16T²

0-32T = -16T²

-32T = -16T²

32T = 16T²

32 = 16T

T = 32/16

T = 2secs

Hence the object hits the ground after 2 secs

Answer:

AB and DE's length are congruent, meaning they are the same.

Step-by-step explanation:

If we made a line between C and F, and flip it on the other side. We would see it is congruent.

Answer:

Step-by-step explanation: you forgot to attach the file but it should look like this i think

Answer:

slope is 3/4

y-intercept is (0,-3)  Thats where you put your first point on the y-inter on -3

x    y

0   -3

4     0

Put your second point at 4 (on the x)

then your slope is rise /run 3/4

then you should get your line on your graph

Step-by-step explanation: