Horizontal and parallel lines b and c are cut by transversal a. At the intersection of lines b and a, the bottom right angle is 50 degrees. At the intersection of lines c and a, the top left angle is y degrees. What is the value of y? y = 30 y = 50 y = 110 y = 130

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:

-6x² + 5x + 15

Step-by-step explanation:

Combine like terms. Like terms are terms with the same amount of variables.

Reorder based on descending powers:

-5x² - x² + 7x - 2x + 10 + 5

(-5x² - x²) + (7x - 2x) + (10 + 5)

(-6x²) + (5x) + (15)

-6x² + 5x + 15 is your answer.

~

Answer: 13000.00mg :) hope this helps

Answer:

19

Step-by-step explanation:

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:

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:

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.

Steps to solve

21 + 6x when x = -2

~Substitute

21 + 6(-2)

~Simplify

21 - 12

~Subtract

9

Best of Luck!

Amount of decrease: 24 - 9 = 15

Percent of decrease = (15 / 24) x 100

Percent = 62.5%

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:

(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

Answer:

B: 7:13

Step-by-step explanation:

Answer:

7:13

i get it correct on the work sheet

Answer:

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

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.

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:

Combining like terms

Step-by-step explanation:

Answer:

A. $71,087

Step-by-step explanation:

The name jade and Mary contradict each other, let's assume both jade and Mary refers to the same person

Jade receives job benefits of 17.5% of her annual gross pay

Jade has an annual gross pay of $60,500

how much in total job benefits does she receive?

Total job benefits received = 17.5% of $60,500 + $60,500

= (17.5 / 100 * 60,500) + 60,500

= (0.175 * 60,500) + 60,500

= 10,587.5 + 60,500

= $71,087.5

The rounded value closest to the answer in the option is $71,087

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: 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:

8

Step-by-step explanation:

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:

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:

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 : The correct option is, (A) 10

Step-by-step explanation :

First we have to calculate the volume of cylinder shaped can.

Formula used:

Volume of cylinder = π r² h

where,

r = radius of cylinder

h = height of cylinder

Given:

Diameter of cylinder = 3 in

Height of cylinder = 6 in

Radius of cylinder = [tex]\frac{Diameter}{2}=\frac{3in}{2}=1.5in[/tex]

Now putting all the given values in the above formula.

Volume of cylinder = π r² h

Volume of cylinder = 3.14 × (1.5 in)² × 6 in

Volume of cylinder = 42.39 in³

Now we have to determine the number of soda cans are in a pack.

Number of soda cans are in a pack = [tex]\frac{\text{Volume of soda pack}}{\text{Volume of cylinder shaped can}}[/tex]

Number of soda cans are in a pack = [tex]\frac{423.9in^3}{42.39in^3}[/tex]

Number of soda cans are in a pack = 10

Therefore, the number of soda cans in a pack are 10.

Answer:

11/19

Step-by-step explanation:

Answer:

Six miles

Step-by-step explanation:

You multiply the two by the three (2x3) and get six (6)

Answer: 30%

Step-by-step explanation:

Given, Percent of families subscribe to the morning newspaper =  50%

Percent of families subscribe to the afternoon newspaper = 65%

Percent of families subscribe to at least one of the two newspapers. = 85%

Now, percentage of the families subscribe to both newspapers = % for morning newspaper  +   % for afternoon newspaper - % for at least one of the two newspapers

= (50+65 - 85) %

=  30 %

Hence, the percentage of the families subscribe to both newspapers = 30%