A paramedic maintains a time card for hours she works on the rescue squad. How many hours did she work per week ?

Answers

Answer 1

39 hours;  she works per week if the paramedic maintains a time card for hours she works on the rescue squad.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

A paramedic maintains a time card for the hours she works on the rescue squad shown in the table:

We can write a mixed fraction in a fraction:

6 1/2 = 13/2

8 1/2  = 33/2

7 3/4 = 31/4

8 1/12 = 97/12

8 5/12 = 101/12

Adding all the fractions:

[tex]=\rm \dfrac{13}{2}+\dfrac{33}{4}+\dfrac{31}{4}+\dfrac{97}{12}+\dfrac{101}{12}[/tex]

[tex]=\dfrac{13}{2}+\dfrac{64}{4}+\dfrac{97}{12}+\dfrac{101}{12}[/tex]

[tex]=\dfrac{13}{2}+\dfrac{64}{4}+\dfrac{198}{12}[/tex]

[tex]=\dfrac{13}{2}+\dfrac{64}{4}+\dfrac{33}{2}[/tex]

[tex]=23+\dfrac{64}{4}[/tex]

= 39 hours

Thus, 39 hours;  she works per week if the paramedic maintains a time card for hours she works on the rescue squad.

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A Paramedic Maintains A Time Card For Hours She Works On The Rescue Squad. How Many Hours Did She Work

Related Questions

The graph of the function f(x) is shown below.
-a
If a = 9, then find the value of
3a
f(x) d
-a
f(x) dx =
a
3a
fr f(x) dx.
-a
ROUND YOUR FINAL ANSWER TO 4 DECIMAL PLACES.
2a
3a

Answers

The integral of [tex]f(x)[/tex] over the interval [tex][-a,a][/tex] corresponds to the area of a semicircle of radius [tex]a[/tex], so

[tex]\displaystyle \int_{-a}^a f(x) \, dx = \frac{\pi a^2}2[/tex]

The integral over [tex][a,3a][/tex] corresponds to the negative area of a trapezoid with height [tex]a[/tex] and base lengths [tex]2a[/tex] and [tex]a[/tex], so

[tex]\displaystyle \int_a^{3a} f(x) \, dx = -\frac{a(2a+a)}2 = -\frac{3a^2}2[/tex]

Then combining the integrals, we have

[tex]\displaystyle \int_{-a}^{3a} f(x) \, dx = \frac{\pi a^2}2 + \left(-\frac{3a^2}2\right) = \frac{(\pi-3)a^2}2[/tex]

When [tex]a=9[/tex], the integral evaluates to

[tex]\displaystyle \int_{-9}^{27} f(x) \, dx = \frac{(\pi-3)\times81}2 \approx \boxed{5.7345}[/tex][/tex]

a) Write VW as a column vector.
b) Write WV as a column vector.
c) Write a sentence to explain what you notice about
your answers.
W
V

Answers

Answer:

vector VW= w - v

vector WV= v - w

Step-by-step explanation:

there are no figures to solve the question so i'll just write the formula..

vector VW= w - v

vector WV= v - w

How does understanding of 5 x 12 = 60 help to solve for the product of 5
x 120? Explain in words

Answers

Answer:

c6

Step-by-step explanation:

justjustcancacanjustadda0totheproduct of5cxwewtogetthesameresultasx1totoandtimes

3) Number: 640,700

   the value of 4 in this number is 40,000

Number: 64,070

the value of 4 in this number is 4,000

So, times greater: 40,000 ÷ 4,000 = 10 times greater.

4)

The multiplication, 5 × 12 = 60. So, 5 × 120 = 600.

There is an extra zero at the very last of the result as '120' was multiplied with 5 instead of '12' which does not have zero at last which changes the result.

Similar cases with: 5 × 10 = 50. So, 5 × 100 = 500.

Find the principal needed now (the present value) in order to get $10,000 after 15 years, compounded
semiannually at a rate of 5%.

Answers

Answer:

10000×(1+5%)^(15×2)=43219.4238

(a) Solve the following formula for b.
1
A = Zab
6
(b) Evaluate b when A= 18 and a = 5
1
(a) The formula A = ab solved for b is b =
6
(b) Evaluate b when A= 18 and a =
5
b = (Type an integer or a simplified fraction.)

Answers

Answer:

J Trump has to be a great day of school and I have a great

Step-by-step explanation:

you thank you thank you thank you thank you thank you thank you thank you thank you thank you thank you for your loss of school and I have a great day of school ii

Jakub wants to build a new shed.
The area of the shed is 37 m².
The width of the shed is 5 m.
What is the length of the shed?
3

Answers

Answer:

74 m

Step-by-step explanation:

Jakub wants to build a new shed.

The area of the shed is 37 m².

The width of the shed is 5 m.

What is the length of the shed?

to find the side, having the area, you need to use the inverse formula Area = W * L

so

L = A: W

L = 37 : 5 = 7.4 m

If the area of the shed is 37 m²,width of the shed is 5 m as a result the length of the shed will be 7.4 m.

What is a rectangle?

It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral. The area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

It is given that, the area of the shed is 37 m². The width of the shed is 5 m.

Since the shed is rectangular. The length of width is found as,

Area = length × width

A = l × w

l=A/w

l=37/5

l=7.4 m


Thus, if the area of the shed is 37 m², the width of the shed is 5 m as a result the length of the shed will be 7.4 m.

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Pls ,see the attachment

Answers

I don’t know I’m just trying to get points sorry

Huilan is years 15 younger than Thomas. The sum of their ages is 73 . What is Thomas's age?

Answers

thomas age:44

huilan age: 29

Step-by-step explanation:

h = t + 15

t + t + 15 = 73

2t = 73 - 15

2t = 58

t = 29

A snack bar offers chili and/or cheese on its hot dogs for an additional fee.
The owner kept track of the hot dog orders over the course of a week. His
data are shown in a relative frequency table.

Answers

Answer:

the answer is c. the row is chili, the column is no cheese

What are the zeros of the quadratic function f(x)=6x^2+12x-7?

Answers

The zeroes of the quadratic function f(x) = 6x² + 12x – 7 will be given below. Then the correct option is A.

What is a quadratic function ?

The quadratic function is given as ax² + bx + c = f(x).

For finding the zeroes of the polynomial we have to find the roots of the polynomial , The value of f(x) = 0

The given function is f(x) = 6x² + 12x – 7

Then the zeroes of the quadratic function will be

[tex]roots = \dfrac {-b \pm \sqrt{b^2 -4ac}}{2a}\\\\[/tex]

Here a =6 , b = 12 ,c = -7

Therefore the zeroes are

[tex]\rm roots = \dfrac {-12 \pm \sqrt{12^2 -4 * 6 * (-7)}}{2 *6}\\\\[/tex]

[tex]\rm root_1 = -1 + \sqrt{\dfrac {13}{6}}\\\\\rm root_2 = -1 - \sqrt{\dfrac {13}{6}}[/tex]

Therefore the correct option is A.

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The repeating decimal z=0.142857142857142857 as fraction

Answers

Answer:

[tex] \frac{1}{7} [/tex]

Which of these could be the graph of F(x) = log₂ x?
A
A. Graph A
B. Graph B
C. Graph C
D. Graph D

Answers

The graph of the function is shown in the attached image.

Which expression is equivalent to 2x² - x + ?
O A
O
B
C
D
²(x - 2)²
2
IN
2 X-
16

Answers

Answer: [tex]2\left(x-\frac{1}{4} \right)^{2}[/tex]

Step-by-step explanation:

[tex]2x^{2}-x+\frac{1}{8}\\\\=2\left(x^{2}-\frac{1}{2}x \right)+\frac{1}{8}\\\\=2\left(\left(x-\frac{1}{4} \right)^{2}-\frac{1}{16} \right)+\frac{1}{8}\\\\=2\left(x-\frac{1}{4} \right)^{2}-\frac{1}{8}+\frac{1}{8}\\\\=\boxed{2\left(x-\frac{1}{4} \right)^{2}}[/tex]

How do I solve this problem?

Answers

Answer:

y≤x²+4x-1.

Step-by-step explanation:

1) to define the equation of the given graph; it is y=x²+4x-1 (its vertex is (-2;-5));

2) to define inequation accorging to the given graph (the area outside of the parabola means ≤).

Review the graph.

On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. Point A is (1, negative 2), B is (1, negative 6), C is (9, negative 2), D is (9, negative 6), z 1 is (3, negative 4), and z 2 is (negative 4, 1).

Which expression is the result of subtracting (z2 – 3i) from (z1 + 2)?

A
B
C
D

Answers

[tex]z_{2}-3i=(-4+i)-3i=-4-2i\\\\z_{1}+2=(3-4i)+2=5-4i\\\\(z_{1}+2)-(z_{2}-3i)=(5-4i)-(-4-2i)=9-4i+4+2i=9-2i[/tex]

which corresponds with point C

The expression which is the result of subtracting (z2-3i) from (z1+2) is 9-2i.

Given On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. Point A is (1, -2), B is (1, -6), C is (9,- 2), D is (9, - 6), z 1 is (3, - 4), and z 2 is (- 4, 1).

Coordinate plane is a two dimensional plane formed by the intersection of two number lines. One is horizontal line and one is vertical. On horizontal line x values are denoted and on vertical line y values are written. There can be three dimensional plane also.

z2-3i=(-4+i)-3i=-4-2i

z1+2=(3-4i)+2=5-4i

(z1+2)-(z2-3i)=(5-4i)-(-4-2i)

=9-4i+4+2i

=9-2i

Hence for the expression (z1+2)-(z2-3i)=9-2i

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(correct answers only)
A sailfish is swimming after a herring in a straight line at 11.8 m/s and begins to accelerate at 6.39 m/s². How long does it take for the sailfish to reach the herring if it is 55.0 m away?
(unit=s)

Answers

Initial velocity=11.8m/s=uAcceleration=a=6.39m/s²Distance=s=55mTime be t

According to second equation of kinematics

s=ut+1/2at²55=11.8t+1/2(6.39)t²110=23.6t+6.39t²6.39t²+23.6t-110=0

Take positive value

t=2.7s

Answer:

2.7 s  (1 d.p.)

Step-by-step explanation:

Use the Constant Acceleration Equations where:

s = displacement in metersu = initial speed in m/sv = final speed in m/sa = acceleration in m/s²t = time in s (seconds)

Given:

s = 55 mu = 11.8 m/sa = 6.39 m/s²

[tex]\begin{aligned}\text{Using }s & =ut+\dfrac{1}{2}at^2\\\implies 55 & =11.8t+\dfrac{1}{2}(6.39)t^2\end{aligned}[/tex]

Rearrange the equation to equal zero:

[tex]\implies 3.195t^2+11.8t-55=0[/tex]

Quadratic Formula

[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]

Use the quadratic equation to solve for t:

[tex]\implies a=3.195, \quad b=11.8, \quad c=-55[/tex]

[tex]\implies t=\dfrac{-11.8 \pm \sqrt{11.8^2-4(3.195)(-55)} }{2(3.195)}[/tex]

[tex]\implies t=2.694780675, -6.388051411[/tex]

As time is positive:

[tex]\implies t=2.694780675... \:\text{s}[/tex]

[tex]\implies t=2.7 \: \text{s (1 d.p.)}[/tex]

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A photographer needs a frame for a 16 x 20 inch picture, such that the total area is 340 in^2. Calculate the width of the frame. Which of the following quadratic equations would be used when solving this?

2x^2 + 36x = 20
2x^2 + 72 = 20
4x^2 + 36x = 20
4x^2 + 72x = 20

Answers

B? 2x^2+72=20 ( sorry if it isn’t right)
Please help me for my question

On January 1, 2021, Princess Corporation leased equipment to King Company. The lease term is 12 years. The first payment of $716,000 was made on January 1, 2021. The equipment cost Princess Corporation $5,188,466. The present value of the lease payments is $5,588,516. The lease is appropriately classified as a sales-type lease. Assuming the interest rate for this lease is 9%, how much interest revenue will Princess record in 2022 on this lease? (Round your answer to the nearest whole dollar amount.)

Answers

The amount of the  interest revenue that  Princess will record in 2022 on this lease is:$413,553.82.

Interest revenue

First step

Lease value payments after first payment:

Lease value payments=  $5,588,516- $716,000

Lease value payments= $4,872,516

Second step

Lease value payments after second payment:

Lease value payments=$4,872,516+ ($4,872,516×9%) - $716,000

Lease value payments=$4,872,516+$438,526.44-$716,000

Lease value payments=$4,595,042.44

Third step

2022 Interest revenue=$4,643,787.6×9%

2022 Interest revenue=$413,553.8196

2022 Interest revenue=$413,553.82 (Approximately)

Therefore the amount of the  interest revenue that  Princess will record in 2022 on this lease is:$413,553.82.

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Another day, another math problem 3

Answers

If f(x)=x²+2 and g(x)=x²+5 then the domain of  the (fog) (x) is (-∞,∞).

Given the f(x)=x²+2 and g(x)=x²+5

We have to find the domain of  the (fog) (x)

The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.

then,(fog) (x)= (x²+5)²+ 2

                    =x⁴+25+10x²+2

                    = x⁴+27+10x²

Now on any real value of x the value of (fog) (x) exists therefore (fog) (x) can take all the values of the real number.

So domain (fog) (x)= (-∞,∞).

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ments
nts
ns
Mai says, "I know how to find the area of a sector or the length of an arc for central angles like 180
degrees or 90 degrees. But I don't know how to do it for central angles that make up more complicated
fractions of the circle."
1. In the diagram, the sector's central angle measures 8 degrees and the circle's radius is r units. Use
the diagram to tell Mai how to find the area of a sector and the length of an arc for any angle and
radius measure.
2. This image shows a circle with radius and central angle measurements. Find the area of the shaded
sector, and the length of the arc defined by the sector.
160%
5 in

Answers

The sector area and the arc length are 34.92 square inches and 13.97 inches, respectively

How to find a sector area, and arc length?

For a sector that has a central angle of θ, and a radius of r;

The sector area, and the arc length are:

[tex]A = \frac{\theta}{360} * \pi r^2[/tex] --- sector area

[tex]L = \frac{\theta}{360} * 2\pi r[/tex] ---- arc length

How to find the given sector area, and arc length?

Here, the given parameters are:

Central angle, θ = 160

Radius, r = 5 inches

The sector area is

[tex]A = \frac{\theta}{360} * \pi r^2[/tex]

So, we have:

[tex]A = \frac{160}{360} * \frac{22}{7} * 5^2[/tex]

Evaluate

A = 34.92

The arc length is:

[tex]L = \frac{\theta}{360} * 2\pi r[/tex]

So, we have:

[tex]L = \frac{160}{360} * 2 * \frac{22}{7} * 5[/tex]

L = 13.97

Hence, the sector area and the arc length are 34.92 square inches and 13.97 inches, respectively

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Choose the letter of the equation for
the graph.

Answers

The graphed trigonometric function is the one in option a.

Which is the equation of the graph?

The key parts that we can see on the graph are:

The midline is y = 1.

From this we know that the correct option is either a or b.

at x = 0, f(x) = 0.

Now we can evaluate options a and b in x = 0 and see which one is equal to zero.

for a:

y = sin(0 - pi/2) + 1 = sin(-pi/2) + 1 = -1 + 1 = 0

for b:

y = cos(0 + pi/2) + 1 = 0 + 1 =  1

Then we can see that option a is the correct option.

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Evaluate the expression. 7^14/7^15 Evaluate the expression . 714 715​

Answers

Answer:

1/7

Step-by-step explanation:

Alternative Form: 0.142857, 7^-1

Given 2 (x+3) - 4x = x
Prove = 2
Complete the proof. Provide reasons for 1-6 below.

Answers

step-by-step explanation:

#1: simplify both sides of the equation.

2(x+3)−4x=x

(2)(x)+(2)(3)+−4x=x

2x+6+−4x=x

(2x+−4x)+(6)=x

−2x+6=x

−2x+6=x

***

#2: subtract x from both sides.

−2x+6−x=x−x

−3x+6=0

***

#3: subtract 6 from both sides.

−3x+6−6=0−6

−3x=−6

***

step 4: divide both sides by -3.

−3x/-3 = -6/-3

solution x = 2


Find the domain and range of the function graphed below. Write your answers in interval notation.

Answers

Answer:

Domain: [tex](-\infty, \infty)[/tex]Range: [tex](-\infty, -1][/tex]

Step-by-step explanation:

The domain is the set of x-values and the range is the set of y-values.

Which of the following is the balance for a single $2.520 deposit in an account with an APR of 1.16% that compounds interest monthly and is invested for 37 years? Which of the following is the balance for a single $ 2.520 deposit in an account with an APR of 1.16 % that compounds interest monthly and is invested for 37 years ?​

Answers

Answer:

The balance after 37 years is $3869.99

Step-by-step explanation:

Given:

Principal (P) =  $2,520Rate of Interest (R) = 1.16%Time (t) = 37 yearsCompounds Interest Monthly (n) = 12

The Amount (A),

A = P (1 + [tex]\frac{R}{100n}[/tex][tex])^{nt}[/tex]        if compound n times per year

Amount (A) at 37 years,

A = ($2,520) (1 + [tex]\frac{1.16}{100(12)}[/tex][tex])^{12 x 37}[/tex]

A = ($2,520) (1 + [tex]\frac{1.16}{1,200}[/tex][tex])^{444}[/tex]

A = ($2,520) (1.00096667 [tex])^{444}[/tex]

A = ($2,520) (1.5357)

A = $3869.9944

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A woman bought some large frames for ​$10 each and some small frames for ​$4 each at a closeout sale. If she bought 22 frames for ​$​106, find how many of each type she bought.

Answers

Answer:

19 small frames and 3 large frames

Step-by-step explanation:

follows the steps in the attached

How much will 1,000.00 amount to in 2 years at 13%2% simple interest

Answers

For %13 in 2 years 1,000,000 will amount to 1,260,000

For %2 in 2 years 1,000,000 will amount to 1,040,000

Use the grouping method to factor this polynomial completely.
4x³ + 8x²+3x+6
O A. (4x2 + 2)(x+3)
OB. (4x2+2)(x+2)
O C. (4x²+3)(x+3)
D. (4x² + 3)(x + 2)

Answers

Answer:

D.  [tex](4x^2 + 3)(x + 2)[/tex]

Step-by-step explanation:

Hello!

We can group the first two terms and the last two terms and factor each group.

Factor by Grouping[tex]4x^3 + 8x^2 + 3x + 6[/tex][tex](4x^3 + 8x^2) + (3x + 6)[/tex][tex]4x^2(x + 2) + 3(x + 2)[/tex]

Now we can combine the like factors:

[tex](4x^2 + 3)(x + 2)[/tex]

The answer is Option D.

How to find x and y

Answers

he value of x and y from the given figure are 49/5 and 49/15

Similarity theorem of triangles

From the given similar triangles, the following expression is true

21/30 = 7/15 = k

Also, x/21 = y/7 = 7/15

Equate

x/21 = 7/15

15x = 7 * 21

5x = 7 * 7

x = 49/5

Similarly

y/7 = 7/15

15y = 49

y = 49/15

Hence the value of x and y from the given figure are 49/5 and 49/15

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NEED HELP ASAP !!

Which equations are equivalent to 2 + 2 12-x1=1? Check all that apply.

Answers

Answer:

[tex]\frac{2}{3}|2-x|=\frac{1}{15}[/tex]

Step-by-step explanation:

[tex]\frac{1}{5} + \frac{2}{3} |2-x| = \frac{4}{15} \\\\\frac{1}{5}*(\frac{3}{3}) = \frac{3}{15}\\\\\frac{3}{15}-\frac{3}{15} + \frac{2}{3}|2-x| =\frac{4}{15}-\frac{3}{15}\\\\\frac{2}{3}|2-x|=\frac{1}{15}[/tex]

Other Questions
Task 2. Protecting Your Model Village from Tsunamis In this task, you will design a model village to withstand the effects of a tsunami. Estimated time to complete: 1 hour You will need the following materials: 2 pieces of printer paper, 8 inches 11 inches 2 pieces of card stock, 8 inches 11 inches 1 piece of cardboard, 8 inches 11 inches a long, shallow plastic container, around 30 inches long, 15 inches wide, and 5 inches deep tape or glue a small plate or tray water a ruler a small bag of sand, about 2 pounds Hypothesis and Data Collection Part A Before you design your model village, write down the problems you observed in task 1. What were the largest risks to the community? What happened to the homes? Part B Design a model village that addresses the problems you identified. Consider the following questions: Does elevation play a factor? If so, can the elevation be changed to protect the homes? Could the residents build a structure that would prevent a tsunami from reaching the community? What would this structure look like? How would the residents build it? What could limit the erosion of the beach? Part C After you design your model, build your homes and place them in the same positions as they were in task 1. Build any additional structures you think will help protect these homes. Repeat the tsunami experiment from task 1, pushing the waves three to four times. Analyze and Extend Part A Did your results match your predictions about the additional structure protecting the homes? Part B To prevent damage from natural hazards, scientists must consider the best ways to keep people safe while also considering practicality in terms of cost, interference of new structures in day-to-day life, and other such factors. If your plan worked, was it a practical solution for the community? Can you think of any downsides to your plan? If it didnt work, how would you improve your plan? Can you foresee any problems with executing your plan?Part C. Tsunami evacuation plans often consider the elevation of the community and its distance from the shoreline when deciding which towns to evacuate. How could this data help in building new homes and communities along coastal areas that are prone to tsunamis?Part DThe home in the picture below is from a tsunami-prone area. Based on the results of your experiment, do you think the structure of this home would protect against tsunamis? I'LL GIVE BRAINLIEST TOO. Evaluation of unanticipated adverse device effects (uades) must be reported to the fda by the: the coming of computers in medicine has ______. 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What is the primary purpose of a rate law?Oto determine if a chemical reaction will be exothermic or endothermicO to determine the amount of product that is formed from the concentration of reactantsO to show the relationship between the concentration of reactants and the reaction rateO to show a relationship between the amounts of gas that can dissolve into a liquid Daniel is due to receive the balance of his trust fund in 5 years; as a result he has taken out a(n) ________ mortgage where he has made small payments for several years and will pay off the balance in one large payment with his trust funds. Question 25 options: shared appreciation graduated payment fixed rate balloon payment ARM Willard works as a representative focused on the senior marketplace. What would be considered prohibited activity by willard?. what are the main functions of drinking water and sanitation project in Western Nepal Experts recommend that people increase their level of physical activity Multiple Choice gradually, with moderate-intensity exercise at random times. by starting with vigorous exercise on a regular schedule. gradually, with moderate-intensity exercise on a regular schedule. by starting with vigorous exercise at random times. Need to know asap thanks Which products result in a difference of squares? Select three options. a (x minus y)(y minus x) b (6 minus y)(6 minus y) c (3 + x z)(negative 3 + x z) d (y squared minus x y)(y squared + x y) e (64 y squared + x squared)(negative x squared + 64 y squared) while shooting a free throw in basketball, the _______ cortex will register a miss, and the _______ cortex will help adjust the throw on the next shot. In the circular flow model, households provideto firms. This is represented by the letter A. to aThe development of the cell theory is directly related to advances in microscope technology why are these two related?