Find each unit rate, A car travels 210 mi in 14 h.


Hint: How many miles per hour?

Answer:

2

Step-by-step explanation:

With regards to the above, we can sum up the foods ate together by the 5 cats, then we have;

= 1/5 + 1/5

= 2/5

Then we can multiply the value above by the 5 cats

= 2/5 × 5

= 10/5

= 2

The cats eat 2 foods together.

Answer:

-r^4+3r^3-21r+49

Step-by-step explanation:

(−r2+3r+−7)(r2+−7)

=(−r^2)(r^2)+(−r^2)(−7)+(3r)(r^2)+(3r)(−7)+(−7)(r^2)+(−7)(−7)

=−r4+7r2+3r3−21r−7r2+49

=−r4+3r3−21r+49

The given polynomial in the standard form is -

- r⁴ + 3r³ - 21r + 49

Given is the following polynomial -

(- r² + 3r - 7)(r² - 7)

We can write the polynomial as -

(- r² + 3r - 7)(r² - 7)

Expanding, we get -

r²(- r² + 3r - 7) - 7(- r² + 3r - 7)

- r⁴ + 3r³ - 7r² + 7r² - 21r + 49

- r⁴ + 3r³ - 21r + 49

Therefore, the given polynomial in the standard form is -

- r⁴ + 3r³ - 21r + 49.

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Answer: B i think

Step-by-step explanation:

Answer:

7 saves per game

Step-by-step explanation:

Answer:

La distancia recorrida por el móvil es 240 metros.

Step-by-step explanation:

Puesto que el móvil experimenta movimiento rectilíneo uniformemente acelerado, la distancia recorrida es determinada por las siguientes ecuaciones cinemáticas:

[tex]\Delta x = v_{o}\cdot t + \frac{1}{2}\cdot a\cdot t^{2}[/tex] (1)

[tex]v = v_{o} + a\cdot t[/tex] (2)

Donde:

[tex]\Delta x[/tex] - Distancia recorrida, medida en metros.

[tex]v_{o}[/tex] - Velocidad inicial, medida en metros por segundo.

[tex]v[/tex] - Velocidad final, medida en metros por segundo.

[tex]a[/tex] - Aceleración, medida en metros por segundo al cuadrado.

[tex]t[/tex] - Tiempo, medido en segundos.

En (2) despejamos el tiempo:

[tex]a = \frac{v-v_{o}}{t}[/tex]

Si aplicamos esta ecuación en (1):

[tex]\Delta x = v_{o}\cdot t + \frac{1}{2}\cdot \left(\frac{v-v_{o}}{t} \right)\cdot t^{2}[/tex]

[tex]\Delta x = v_{o}\cdot t + \frac{1}{2}\cdot (v-v_{o})\cdot t[/tex]

[tex]\Delta x = \frac{1}{2}\cdot v_{o}\cdot t+\frac{1}{2}\cdot v\cdot t[/tex]

[tex]\Delta x = \frac{1}{2}\cdot (v_{o}+v)\cdot t[/tex] (3)

Si sabemos que [tex]v_{o} = 0\,\frac{m}{s}[/tex], [tex]v = 60\,\frac{m}{s}[/tex] and [tex]t = 8\,s[/tex], entonces la distancia recorrida es:

[tex]\Delta x = \frac{1}{2}\cdot \left(0\,\frac{m}{s}+60\,\frac{m}{s}\right) \cdot (8\,s)[/tex]

[tex]\Delta x = 240\,m[/tex]

Answer:

the range is y</4

Step-by-step explanation:

dont listen to the other person, btw that sign is less than or equal to

Answer:

8..

Step-by-step explanation:

-3x-5y=61

7x-5y=-9

-10x=70

x=-7

y=-8..

Answer:-14

Step-by-step explanation:

Answer:

{y | y > 12}

Step-by-step explanation:

just took the test

Answer:

100 miles is the answer

Step-by-step explanation:

3 inches = 20 miles

15/3 = 5

5 x 20

= 100 miles

========================================================

Work Shown:

(3 inches)/(20 miles) = (15 inches)/(x miles)

3/20 = 15/x

3*x = 20*15

3x = 300

x = 300/3

x = 100

Therefore, 15 inches on the map correspond to 100 miles in real life.

-------------------

We could approach the problem like this:

3 inches = 20 miles

5*(3 inches) = 5*(20 miles)

15 inches = 100 miles

In the second step, I multiplied both sides by 5 to turn the "3 inches" into "15 inches".

Answer:

E’ is (11,-1)

Step-by-step explanation:

Here, we want to get the new coordinates of E

The translation is 4 units right ( add 4 to x-value) and 3 units down ( subtract 3 from y-value)

So for E, we have

(7 + 4, 2-3)

= (11, -1)

Answer:

[tex] m = \frac{ \sqrt[3]{243b} }{17} [/tex]

Answer:

what are you saying

Step-by-step explanation:

Answer:

John ate 7/12 more of the candy than Sandy.

Step-by-step explanation:

3/4 is equivalent to 9/12.

1/6 can be expressed as 2/12.

Step 3: 9/12 - 2/12 = 7/12.

Now that they have the same denominators, perform the subtraction process.

Then,John ate 7/12 more of the candy than Sandy.

Answer:

i would say 6.50

Step-by-step explanation:

i rounded to the closest tenth

Answer:

x = 2,24 cm

y = 17,96 cm

Step-by-step explanation:

The volume of a cube is:

V = x²*y      where  x is the side of the square base and the height of the cube

V = 90 cm³

And the surface area of the cube is:

S(c)  =  Area of the base (A₁ ) + Lateral area (A₂)

A₁  = x²       and  V = x²*y     then  y = 90/x²

Therefore total cost is:

Cost of the top plus bottom  C₁ =  0,20 * 2 * x²  C₁ = 0,4*x²

Lateral cost (C₂)  is    C₂ = 0,10 * x*y    then  C₂ =  0,10*x ( 90/x²)    C₂ = 9/x

C(x) = 0,4*x² + 9/x

We take derivatives on both sides of the equation to get:

C´(x) = 0,8*x  -  9/x²

C´(x) =  0     0,8*x  - 9/x²  = 0

0,8*x³ - 9  = 0

0,8 * x³  = 9

x³  =  11,25

x = ∛ 11,25

x  =  2,24  cm

And   y  =  90 / 5,01        y  =  17,96 cm

Answer:

1: 11√3 - 7√6

2: 11√3 - 7√6

3: -9

4:12

Step-by-step explanation:

To add radicals they need to have the same radical part for the first one we have

7√3- 4√6 + √48 - √54

We can simplify the last two into 4√3 and 3√6

So we have 7√3 - 4√6 + 4√3 - 3√6

adding similar radicals we get

11√3 - 7√6

For the second one we have 11√3 - 7√6

There's nothing we can do from here so keep that as your answer

This one is quite easy -3√9

square root of 9 is 3

so we have -3*3 which is -9

next is

4√9

same deal as the one before

3*4=12

Answer:

B

Step-by-step explanation:

11 square root of 3 end root minus 7 square root of 6

Got it right on my test

Answer:

C

Step-by-step explanation:

                 .

Answer:

Step-by-step explanation:

If 4 less than and is -15 then the following must be true .

n-4= -15

to solve this equation we need to add iv to both side

n-4+4= -15+4

this is simplified to the following

n= -11

Answer:14/15 + 42/11

Step-by-step explanation:

Answer:

-2 Because i did the test and got a 100% on it

Answer:

5:3

Step-by-step explanation:

Step-by-step explanation:

f(x) = x² + 6x + 12

= (x² + 6x + 9) + 3

= (x + 3)² + 3.

Since a² >= 0 for all real values of a,

(x + 3)² >= 0 for all real values of x,

(x + 3)² + 3 >= 3 for all real values of x.

Hence f(x) >= 3. (Shown)

Answer:

The value of given expression is 6.

Step-by-step explanation:

Given expression is;

[tex]\sqrt{5x^2-(-x^4)}[/tex]

We have to solve the expression when x = -2

Putting x = -2 in the given expression,

Solution = [tex]\sqrt{5(-2)^2-(-(-2)^4))}\\[/tex]

Solution = [tex]\sqrt{5(4) - (-16)[/tex]

Solution = [tex]\sqrt{20+16}[/tex]

Solution = [tex]\sqrt{36}[/tex]

Taking square root of 36

Solution = 6

Thus,

[tex]\sqrt{5x^2-(-x^4)}[/tex] = 6

Hence,

The value of given expression is 6.

The expression which represents the number of pieces of candy that Michelle has will be y = 2c + 15.

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

Michelle has fifteen more than two times as many pieces of candy as her sister.

Then the expression which represents the number of pieces of candy that Michelle has will be

If the variable c represents the number of pieces of candy that her sister has. Then we have

Let y be the number of candy that Michelle has.

Then we have

y = 2c + 15

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