find the area of the triangle and round to the nearest tenth

The solution to he word problem leading to simultaneous equation is as follows;

The number of problems Pema is able to solve correctly is 15 problems

The method by which we arrived at the above value is as follows:

The given parameters of the question are;

Amount Pema's dad promise to pay her for every problem she gets right = Nu 5

Amount he would take away for any problem missed = Nu 3 (Therefore, Nu -3)

Amount Pema was paid after working 20 problems = Nu 60

Solution;

Let x represent the number of problems she gets right (solves correctly), and let y represent the number of problems she missed, we have the following system of (simultaneous) equations;

x + y = 20...(1)

5·x - 3·y = 60...(2)

Multiplying equation (1) by 3 and adding the result to equation (2) gives;

3 × (x + y = 20) ⇒ 3·x + 3·y = 60

[tex]{}[/tex]   5·x - 3·y = 60

+ 3·x + 3·y = 60

  [tex]{}[/tex]8·x + 0 = 120

x = 120/8 = 15

x = 15

The number of problems she solves correctly, x = 15

Learn more about word problem leading to simultaneous equations here;

https://brainly.com/question/14294864

Step-by-step explanation: Let's begin by finding the

greatest common factor for the numbers 65 and 39.

I would make a factor tree and break up 65 and 39.

So 65 is 13 x 5 and 39 is 13 x 3.

Since the 13's match up, the greatest

common factor between 65 and 39 is 13.

For the variables, we use the smallest power on each of them.

So we use a^3 and b^4 to get 13a^3b^4 as our GCF.

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

You want a line that goes through (0, 0) and has a slope of 5. That means it will also go through (1, 5) and (2, 10), for example. I like the attached graphing tool because it will draw the graph directly from the equation.

Answer:

y = 6x ^2 - 6x + 9

Step-by-step explanation:

hopefully it's visible

:)

answer:

2 on the picture is the amplitude

Answer:

You’ve worked 7 hours and 30 minutes

Step-by-step explanation:

Answer:

Angelique has traveled further than Jamila by about 6 km.

Step-by-step explanation:

Make them the same unit (I will make them both kilometers)

There is about 1.609 km in 1 mile

75 miles * 1.609 km/1 mile = 120.675

120.675 km>115 km

Answer:

volume of hemisphere =1912.26cm^3

Step-by-step explanation:

Answer:

Step-by-step explanation:

vxcvxcvxcvxcvxcvcxvxcbcvbcvnxcgjfgjfgjghjghjghjghj

The revenue function is y₁ = –4x² + 400x, the cost function is y₁ = x² – 100x + 8000, and the break-even number of units is 20 or 80.

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

Jua Kali Products Ltd has been in operation for the last 10 years.

Its annual revenue and cost functions take the form of quadratic functions.

The following data was obtained from the records of the company.

Year          Unit Sold            Revenue             Cost

2017              5                        1900                 7525

2018             10                       3600                7100

2019             15                        5100                6725

We know that the quadratic equation is given as

[tex]\rm y = ax^2 + bx + c[/tex]

Let y₁ be the revenue function, y₂ be the cost function and x be the unis sold.

Then the revenue function will be

1900 = 25a + 5b + c  ...i

3600 = 100a + 10b + c  ...ii

5100 = 225a + 15b + c  ...iii

From equations (i), (ii), and (iii), we have

a = –4, b = 400, and c = 0

Then the revenue function will be

y₁ = –4x² + 400x

Similarly, the cost function will be

7525 = 25a + 5b + c  ...1

7100 = 100a + 10b + c  ...2

6725 = 225a + 15b + c  ...3

From equations 1, 2, and 3, we have

a = 1, b = –100, and c = 8000

Then the cost function will be

y₁ = x² – 100x + 8000

For the break-even units, the cost function and the revenue function will be equal. Then we have

[tex]\begin{aligned} x^2 -100x + 8000 &= -4x^2 + 400x\\\\5x^2 -500x + 8000 &= 0\\\\x^2 - 100x + 1600 &= 0\\\\x^2 - 80 x - 20x + 1600 &= 0\\\\x(x-80) - 20 (x-80) &= 0\\\\(x-80)(x-20) &= 0\\\\x &= 20, 80 \end{aligned}[/tex]

More about the quadratic equation link is given below.

https://brainly.com/question/2263981

Answer:

D.

Step-by-step explanation:

D. This contains an x^2 and is called a parabola ( curved line like a U).

Answer:D

Step-by-step explanation: d is the correct answer

Step-by-step explanation:

check it out.

Hope it helps.

Answer:

a.83%

b. 48%

c.36%

d.35%

e.69%

f.36%

g.30%

h.69%

Answer:

D. 359 nm

[tex]{ \boxed{ \bf{ energy = \frac{hc}{ \lambda} }}} [/tex]

lambda is the wavelength

c is the speed of light

h is the Planck's constant

[tex]{ \sf{5.53 \times {10}^{ - 19} = \frac{(6.626 \times {10}^{ - 34}) \times (3.00 \times { {10}^{8} }) }{ \lambda} }} \\ \\ { \sf{\lambda = 3.59 \times {10}^{ - 7} }} \\ { \sf{\lambda = 359 \: nm}}[/tex]

Answer:

x = 1/2

Step-by-step explanation:

8(-2x+1) =0

Divide each side by 8

-2x+1 = 0

Add 2x to each side

-2x+1+2x = 2x

1 = 2x

Divide by 2

1/2 = 2x/2

1/2 =x

Answer:

1/2

Step-by-step explanation:

8(-2x+1)=0

Use distributive property first

-16x+8=0

Subtract 8 on both sides

-16x=-8

Divide both sides by -16 to get x by itself

x=0.5

Which is also equal to 1/2

Therefore, x is equal to 1/2

Answer:

74

Step-by-step explanation:

for this question you have to use the formula of the nth term which is Tn=a+(n-1)d,

T21=-6+(21-1)4

=-6+(20)4

=-6+80

=74

I hope this helps

Answer:

The correct choice is option B. y+1/y-1

Step-by-step explanation:

Answer:

C. (-3x+15)/2

Step-by-step explanation:

y = (15-2x)/3

To find the inverse, exchange x and y

x = (15-2y)/3

Solve for y

Multiply each side by 3

3x = (15-2y)/3 *3

3x= 15-2y

Subtract 15 from each side

3x-15 = 15-2y-15

3x-15 = -2y

Divide by -2

(3x-15)/-2 = -2y/-2

(-3x+15)/2 = y

Split up C into two component paths C₁ and C₂, where each line segment is respectively parameterized by

r₁(t) = (1 - t ) (3i + k) + t (4i + 3j + k) = (t + 3) i + 3t j + k

r₂(t) = (1 - t ) (4i + 3j + k) + t (4i + 5j + 4k) = 4i + (2t + 3) j + (3t + 1) k

both with 0 ≤ t ≤ 1.

It's a bit unclear what function you're supposed to integrate (looks like xyz ?) so I'll give a more general result. The line integral of a scalar function f(x, y, z) along the given path C is

[tex]\displaystyle \int_C f(x,y,z)\,\mathrm ds = \int_{C_1}f(\mathbf r_1(t))\left\|\frac{\mathrm d\mathbf r_1}{\mathrm dt}\right\|\,\mathrm dt + \int_{C_1}f(\mathbf r_2(t))\left\|\frac{\mathrm d\mathbf r_2}{\mathrm dt}\right\|\,\mathrm dt[/tex]

We have

dr₁/dt = i + 3j   ==>   || dr₁/dt || = √(1² + 3²) = √10

dr₂/dt = 2j + 3k   ==>   || dr₂/dt || = √(2² + 3²) = √13

Then the integrals reduce to

[tex]\displaystyle \int_0^1 \left(\sqrt{10}\,f(t+3,3t,1) + \sqrt{13}\,f(4,2t+3,3t+1)\right)\,\mathrm dt[/tex]

If indeed f(x, y, z) = xyz, then we have

[tex]\displaystyle \int_0^1 \left(3\sqrt{10}\,t(t+3) + 4\sqrt{13}\,(2t+3)(3t+1)\right)\,\mathrm dt = 11\sqrt{\frac52}+42\sqrt{13}[/tex]

Answer:

x^4

Step-by-step explanation:

x^(2/5) ^10

We know that a^b^c = a^(b*c)

x^(2/5*10)

x^4

Answer:

[tex]{x}^{4} [/tex]

Step-by-step explanation:

[tex] ({x}^{ \frac{2}{5} } ) ^{10} \\ {x}^{ \frac{2}{5} \times 10} \\ {x}^{ \frac{20}{5} } \\ {x}^{4} [/tex]

Answer:

120 degrees move in 10 hours

Answer:

Step-by-step explanation:

Answer:

16384

Step-by-step explanation:

4×4×4×4×4×4×4

= 4⁷

= 16384 ways

7 answers can be answered by guessing in 4⁷ ways.

A permutation is an arrangement of things where order matters, AB and BA are two different permutations.

The combination is a selection of things where order does not matter, AB and BA are the same combinations.

Given, A multiple-choice test has 7 questions, with 4 possible answers for each question.

Now the first question can be guessed in 4 different ways.

Similarly, 7 answers can be answered by guessing in 4⁷ ways.

= 16,384.

learn more about permutation and combination here :

https://brainly.com/question/28720645

#SPJ2

Step-by-step explanation:

f'(x) is usually used in calculus to denote the first derivative of f(x) so f'(2) will simply be the first derivative of f(2).

f(x)=x+3

f'(x)=1

thus x does affect the first derivative and your answer for f'(x)=1

Answer:

12 x 3/5 = 7 1/5

Step-by-step explanation:

12 x 3/5

Add 1 below 12 as a denominator to make it an improper fraction

= 12/1 x 3/5

Multiply numerators from both fractions as long as the denominators:

12 x 3 = 36

1 x 5 = 5

12/1 x 3/5 = 36/5

36/5 SIMPLIFIED IS 7 1/5

Hope this helps!

Answer:

36/5 = 7.2 = 7 1/5

Step-by-step explanation:

12 x 3/5

Change 12 into fraction form to make it easier.

12/1 x 3/5

Now multiply the numerators and the denominators.

12 x 3 = 36

1 x 5 = 5

12/1 x 3/5 = 36/5

If you don't want the answer as an improper fraction, 36/5 = 7.2 which is also equal to 7 1/5

Answer:

question is not proper

Step-by-step explanation:

question is