Sam is 4 times as old as Allie. Write an equation to model this situation. a) s=4A b) A=4S c) S= 4+A d) A= 4+S

Answer:

Step-by-step explanation:

Given the expression [tex]{2x^{\frac{5}{3} }-22 = 464[/tex], we are to find the value of x in the expression. This is as shown below;

[tex]{2x^{\frac{5}{3} }-22 = 464[/tex]

add 22 to both sides

[tex]{2x^{\frac{5}{3} }-22 = 464+22\\\\[/tex]

[tex]{2x^{5/3} =486[/tex]

divide both sides by 2

[tex]\frac{2x^{5/3}}{2} =\frac{486}{2}\\ x^{5/3} = 243[/tex]

raise both sides to the power of 3/5

[tex](x^{5/3})^{3/5} = (243)^{3/5}\\x = (\sqrt[5]{243}) ^3\\x = 3^3\\x = 27[/tex]

Hence the value of x is 27

Answer:

A quadratic binomial is a second degree binomial, such as 3x2+2.

Answer: 3/10

Step-by-step explanation: Since our denominators of 2 and 5have no

factors in common, our least common denominator is 2 · 5 or 10.

In order to get a denominator of 10 in each fraction,

we multiply top and bottom of the first fraction by 5

and top and bottom of the second fraction by 2.

That gives us 5/10 - 2/10 which is 3/10.

Answer:.3

Step-by-step explanation: if it is 5 or above it rounds up

Answer:

B. -2

Step-by-step explanation:

All you have to do is look at 2 on the x axis and see where it lines up on the graph with the y axis. In this case, when you trace the line of 2 it matches up with -2 on the graph.

Answer:

8

Step-by-step explanation:

40

There isnt a way the LCD can go lower, because 5 only counts by 5's and 5 and 8 meet at 40.

Answer:

least common denominator of 5 and and 8 is  40

Answer:

b

Step-by-step explanation:

complimentary which means both angles are the same and on the opposite sides of each other

im not sure if the explanation is correct but im pretty sure the answer is

Answer:

The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.

It is a measure of how much the function changed per unit, on average, over that interval.

Answer:

3.7ml/hr

Step-by-step explanation:

From the question

A nurse is preparing to administer dopamine 2 mcg/kg/min by continuous IV infusion

Step 1

The patient weighs 110lb(pounds

Convert the patients weight to kilogram

1 lb = 0.454kg

110lb =

Cross Multiply

110lb × 0.454kg

= 49.94kg

The patient weight = 49.94kg

Step 2

The dosage to to be administered by the nurse = 2 mcg/kg/min

If 1 kg = to be administered 2mcg/min

49.94 kg =

(49.94kg × 2mcg/min)/1

= 99.88mcg/min

Therefore, for the patient's body weight, the patient's dosage = 99.88mcg/min

Step 3

Available dopamine is 400mg in 250ml

We have to convert this to mcg

Hence,

1 mg = 1000mcg

400mg =

Cross Multiply

= 400mg × 1000mcg

= 400000mcg

Hence, the available dopamine is administer in 250ml/400000mcg

Part 3

Since 60 minutes is 1 hour

The nurse should set the IV pump to deliver how many ml/hr

(99.88mcg/min × 250ml × 60mins)/ 400000mcg

= 3.7455ml/hr

Approximately to the nearest tenth = 3.7ml/hr

Answer:

divided

Step-by-step explanation:

divided 26 goes into 17. than right your numder up tope. that is hoow you divited it is easy just try.

Cost of white shirt = 2.50 $

Cost of blue shirt = 1.50 $

We have asked to find percentage difference[tex].[/tex]

_________________________________

[tex]:\implies\sf\:\dfrac{cost_{blue}-cost_{white}}{cost_{blue}+cost_{white}}\times 100[/tex]

[tex]:\implies\sf\:\dfrac{2.50-1.50}{2.50+1.50}\times 100[/tex]

[tex]:\implies\sf\:\dfrac{1}{4}\times 100[/tex]

[tex]:\implies\:\boxed{\bf{\gray{25\:\%}}}[/tex]

Answer:

(a) 8.4

(b) 56.49

(c) 6.5

Step-by-step explanation:

Question 1:

7 + 0.8 + 0.6

7.8 + 0.6

8.4

Question 2:

35.15 + 14.18 + 7.16

49.33 + 7.16

56.49

Question 3:

0.8 + 5 + 0.7

5.8 + 0.7

6.5

Answer:

8

Step-by-step explanation:

bc is write

Answer:

a

[tex]w =  11.58 \ rad/minutes[/tex]

b

[tex]R_h  =  111 \ revolution\ per  \  hour[/tex]

Step-by-step explanation:

From  the question we told that

    The radius of the wheel is  [tex]r = 38 \  ft[/tex]

     The  speed of the passenger is  [tex]v  =  5 \  miles /hr = \frac{26400}{3600} = 7.33 \ ft / s[/tex]

  Generally the angular speed is mathematically represented as

     [tex]w =  \frac{v}{r}[/tex]

=>   [tex]w =  \frac{7.3}{ 38}[/tex]

=>   [tex]w =  0.193 \ rad/s[/tex]

now converting the seconds to minutes

        [tex]w =  0.193 *60[/tex]

        [tex]w =  11.58 \ rad/minutes[/tex]

Generally number of revolutions the wheel makes per minutes is mathematically represented as

     [tex]R = \frac{11.58 }{2 \pi}[/tex]

      [tex]R = 1.84 \ rpm[/tex]

Generally number of revolutions the wheel makes per hour  is mathematically represented as

       [tex]R_h  =   R *  60[/tex]

=>     [tex]R_h  =  1.84 * 60[/tex]

=>    [tex]R_h  =  111 \ revolution\ per  \  hour[/tex]

Answer: 13000.00mg :) hope this helps

It is more closer to 3.

                                              [tex]Explanation[/tex]

___________________________________________________________

[tex]1.[/tex] Find the square root of 8.

√[tex]8= 2.8[/tex]

[tex]2.[/tex] Figure out if 2.8 is closer to 2, or 3.

2.8 is closer to 3 than 2.

Steps to solve

21 + 6x when x = -2

~Substitute

21 + 6(-2)

~Simplify

21 - 12

~Subtract

9

Best of Luck!

Answer:

Combining like terms

Step-by-step explanation:

Look at the graph, which y values can the graph hit?

Anything above zero would be the right answer, since there is an asymptote at [tex]y=0[/tex].

So the range would be [tex]y>0[/tex]

Hope this helps.

頑張って!

Answer:

11/19

Step-by-step explanation:

Answer:

10.5 inches

Step-by-step explanation:

Equalilateral triangle means all the 3 sides are equal

So perimeter of equilateral triangle=3(side)

=>3(3.5)

=>10.5

Answer:

[tex] a + b + c = 5 + 6 + 11 = 22 [/tex]

Step-by-step explanation:

Variable "a" and "b" represents distances on the numberline.

Variable "c" is the combined distance of the values of variable "a" and variable "b" on the numberline.

a = length of red line = |5 - 0| = |5| = 5

b = length of blue line = |11 - 5| = |6| = 6

c = length of black line (red+blue) = |11 - 0| = |11| = 11

Therefore:

[tex] a + b + c = 5 + 6 + 11 = 22 [/tex]

Answer:

f(3) = 42.

Y-intercept is (0, -6).

X-intercepts  are (-0.5, 0),  ( 2, 0) and (-3, 0).

Step-by-step explanation:

f(3) = (2(3) + 1)(3 - 2)(3 + 3)

= 7 * 1 * 6

= 42.

The y intercept occurs when x = 0:

y-intercept = (2(0) + 1)(0 - 2)(0 + 3)

= 1 *-2*3

= -6.

Calculate the x-intercepts:

(2x + 1)(x - 2)(x + 3) = 0  so

(2x + 1) = 0 or  (x - 2) = 0   or   (x + 3) = 0

So x = -0.5,  2 or  -3.

Answer:

B: 7:13

Step-by-step explanation:

Answer:

7:13

i get it correct on the work sheet

Step-by-step explanation:

On solving the inequality, we get the solution inequality as -

x > -1.

Given is the inequality -

9(x/3 + 1) > 6

The given inequality is -

9(x/3 + 1) > 6

(x/3 + 1) > (6/9)

(x/3 + 1) > 2/3

x/3 + 1 - 1 > 2/3 - 1

x/3 > (2 - 3)/3

x/3 > -1/3

x > -1

Therefore, on solving the inequality, we get the solution inequality as -

x > -1.

To solve more questions on equations, expressions and polynomials, visit the link below -

brainly.com/question/17421223

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Answer:

The integer that represents 15 degrees below 0 is -15°F.

Step-by-step explanation:

This is because the phrase "15 degrees below 0" is obviously not an integer meaning that the corresponding integer to this phrase would be -15.

The thermometer shows - 15°F  the temperature is 15 degrees below zero.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

The Fahrenheit scale is a temperature scale based on one proposed in 1724 by the physicist Daniel Gabriel Fahrenheit.

Given, A Fahrenheit thermometer shows that the temperature is 15 degrees below zero.

So, If we assume the thermometer as a number line it is 15 units left to the origin.

∴ (0 - 15)°F.

= - 15°F.

learn more about numerical expressions here :

https://brainly.com/question/29199574

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Answer:

(0,-2)

Step-by-step explanation:lol rsm hw

ok so just take average of two points (-1, -2) (1, -2)

-1+1=0/2=0

-2+(-2)=-4/2=-2

You can do this with B and D too

Have fun in rsm