How do you solve this

Answer:

5

Step-by-step explanation:

if 17y-8=9, then you could say that 17y=17, by adding 8 to both sides.

So, y=1

Then, plug that value into the new equation 6y-1.

You recieve 6(1)-1

Therefore, the value of the new equation is 5

r = 50/2.5 = 20 cm

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Clock pendulums swing 8 degrees or less, which is an included angle of ~0.28 radians

Using compound interest and continuous compouding, it is found that:

a) The investment at 4% compounded quarterly will earn more interest in 4 years.

b) The better plan will earn $537 more.

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

In this problem, the parameters are: P = 50000, r = 0.04, n = 4, t = 4, hence the amount will be of:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A(4) = 50000\left(1 + \frac{0.04}{4}\right)^{4 \times 4}[/tex]

A(4) = $58,629.

It is given by:

[tex]A(t) = Pe^{rt}[/tex]

In this problem, this option has r = 0.0375, hence:

[tex]A(4) = 50000e^{0.0375 \times 4} = 58092[/tex]

Then:

Item a:

The investment at 4% compounded quarterly will earn more interest in 4 years.

Item b:

58629 - 58092 = $537.

The better plan will earn $537 more.

More can be learned about compound interest at https://brainly.com/question/25781328

Answer:

1.2kl

Step-by-step explanation:

1000grams=1kilogram

700+500=1200

so 1.2kilograms

Answer:

triangle KLM is isosceles

Step-by-step explanation:

[tex]kl = \sqrt{(3 - 7) ^{2} + ({4 - 0) ^{2} } } = 4 \sqrt{2} \\ lm = \sqrt{(2 - 3 ) ^{2} + ( - 1 - 4) ^{2} } = \sqrt{26} \\ lk = \sqrt{(2 - 7) ^{2} + ( - 1 - 0) ^{2} = \sqrt{26} } [/tex]

therefore it is isosceles.

Answer:

The correct answer would be 8 14/15 miles.

Step-by-step explanation:

You have to get the fractions 5 2/6 and 3 3/5 to a common denominator (30) getting you the fractions 10/30 and 18/30. 10/30+18/30 is 28/30 which can simplify to 14/15. 5+3 = 8 getting you the answer of 8 14/15

Answer:

Circle 1 = diameter of 10 cm

Circle 2 = radius of 10 cm

Step-by-step explanation:

           The radius is half the diameter.

           If both the radius and the diameter are the same length, then the circle with the radius of 10 is larger because 10 times 2 is a 20 cm diameter.

           The larger circle is circle #2. If we use the logic from above, the larger circle, #2, has a radius of 10 cm. This leaves us with circle #1 having a diameter of 10 cm.

Circle 1 has a diameter of 10

Circle 2 has a radius of 10

Diameter and Radius

The diameter is the distance from one point on a circle to the opposite side. Radius is the distance from the center of a circle to a point on the circle. This means that the diameter is twice the size of the radius.

Finding Diameter

One way to find out which circle is which is to find the diameter of both. We know that one of the circles had a diameter of 10. The circle that has a radius of 10 must have a diameter of 20 because 10*2=20. Since the circle with a radius of 10 has a diameter of 20, it must be the larger circle, Circle 2.

Reading the Graph

Additionally, you can read the figure given to you. The radius is from the center of a circle to the outside. The line drawn is 10 meters and goes from the center of circle 2 to the outside of circle 2. Thus, this circle must have a radius of 10.

Answer

4 ≤ x ≤ 6 and |x - 5| ≤ 1

Step-by-step explanation:

I answered the question...i got it right...

it goes through the point (2, 10), has a vertex at (5, 1) and goes through the point (8, 10)

The Breakeven revenue for the retail business is Birr 12,500

Breakeven is the point at which the revenue is equals to the cost, hence the profit is zero.

Revenue = Cost

Let x represent the number of items sold, hence:

Revenue = (100% + 25%) of x = 1.25x

Cost = 5% of x + 12000 = 0.05x + 12000

At breakeven:

1.25x = 0.05x + 12000

x = 10000

Hence:

Revenue = 1.25(10000) = Birr 12,500

The Breakeven revenue for the retail business is Birr 12,500

Find out more on breakeven at: https://brainly.com/question/9212451

Answer:

  (c)  0

Step-by-step explanation:

Each of the terms in the expression represents a different transformation of a different trig function. Expressing those as the same trig function can make it easier to find the sum.

__

We can start with the identity ...

  cos(x) = sin(x +π/2)

Substituting the argument of the cosine function in the given expression, we have ...

  cos(π/2 -θ) = sin((π/2 -θ) +π/2) = sin(π -θ) = -sin(θ -π)

__

The first term, sin(π +θ), is a left-shift of the sine function by 1/2 cycle, so can be written ...

  sin(π +θ) = -sin(θ)

The second term is the opposite of a right-shift of the sine function by 1/2 cycle, so can be written ...

  cos(π/2 -θ) = -sin(θ -π) = sin(θ)

Then the sum of terms is ...

  sin(π +θ) +cos(π/2 -θ) = -sin(θ) +sin(θ) = 0

The sum of the two terms is identically zero.

Answer:

3 miles (3 laps)

Step-by-step explanation:

Assuming 1 lap is a mile, and 1/2 hour has 30 minutes, 1 mile per 10 minutes gives us 3 miles.

Answer:

i) 66

ii) 536

Step-by-step explanation:

Check attachement(s) for solution.

Answer:

Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60

Step-by-step explanation:

Answer:

the slope is 2

y=2x-1

Step-by-step explanation:

y(2)-y(1)/x(2)-x(1) is the formula for slope

-1-0/0-0.5=-1/0.5=2

however, it is looking for the equation

y=mx+b

(b=y intercept)

m=slope

y=2x-1

Answer:

Step-by-step explanation:

The equation of a line is y = m*x + b

So plug in the numbers...

the slope is the change in y over the change in x or (y - y₁)/(x - x₁)

(-1 - 0)/(0 - 0.5) = 2

so... m = 2

and b is the y-intercept which is -1

therefore the answer is: y = 2x - 1

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

( I have verified my answer on an online calculator)

Answer:

0.2

Step-by-step explanation:

Total number of cars: 10 + 4 + 6 = 20

Number of cars that turned left: 4

p(left) = 4/20 = 0.2

To place 0.2 on the scale, divide the segment from 0 to 1/2 into 5 equal parts, and place 0.2 on rthe second from the left.

Answer:

The statement is false

Answer:

  A) year 1 to year 2

Step-by-step explanation:

The increases in speed are found by subtracting the speed from the year before.

  1 to 2: 46 -38 = 8

  2 to 3: 52 -46 = 6

  3 to 4: 57 -52 = 5

  4 to 5: 61 -57 = 4

The greatest increase was from year 1 to year 2.

Answer:

see explanation

Step-by-step explanation:

the area (A) of a trpezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

b₁, b₂ are the parallel bases and h the perpendicular height between them

(1)

b₁ = 12, b₂ = 8 , h = 5

A = [tex]\frac{1}{2}[/tex] × 5 × (12 + 8) = 2.5 × 20 = 50 cm²

(2)

b₁ = 6 , b₂ = 4 , h = 3

A = [tex]\frac{1}{2}[/tex] × 3 × (6 + 4) = 1.5 × 10 = 15 cm²

(3)

b₁ = 7 , b₂ = 4 , h = 4

A = [tex]\frac{1}{2}[/tex] × 4 × (7 + 4) = 2 × 11 = 22 cm²

Answer:

see explanation

Step-by-step explanation:

the area (A) of a trpezoid is calculated as

A = \frac{1}{2}21 h (b₁ + b₂ )

b₁, b₂ are the parallel bases and h the perpendicular height between them

(1)

b₁ = 12, b₂ = 8 , h = 5

A = \frac{1}{2}21 × 5 × (12 + 8) = 2.5 × 20 = 50 cm²

(2)

Step-by-step explanation:

Answer:

78

Step-by-step explanation:

We should solve according to the order of operations, PEMDAS.

#1) Parentheses

#2) Subtraction

#3) Addition

Answer:

1

Depends on the cross section axis

place a cylinder can on a table , circular and side down .Look down at it and you see the other end so the cross section is circle

Turn it on its side and the cross section is rectangle

Answer:

betweennnnnnn 8 and 9!!! :)

Answer:

Step-by-step explanation:

If the function f(x) is change to g(x) what transformation has occurred?

(5 Points)

f (x) = 3x - 7 and g (x) = 3x + 3

The graph of g is a vertical strecth.

The graph of g is 3 units above f

• The graph of g is 10 units above f

Answer:

Answer:

See below for answers and explanations

Step-by-step explanation:

Problem 1

First, identify the three vectors in component form (remember to have the direction angle for each vector account for the quadrants they are in!):

[tex]u=\langle90\cos220^\circ,90\sin220^\circ\rangle\\v=\langle 60\cos110^\circ,60\sin110^\circ\rangle\\w=\langle 40\cos30^\circ,40\sin30^\circ\rangle[/tex]

Secondly, we add them:

[tex]u+v+w=\langle90\cos220^\circ+60\cos110^\circ+40\cos30^\circ,90\sin220^\circ+60\sin110^\circ+40\sin30^\circ\rangle\approx\langle-54.824,18.531\rangle[/tex]

Thirdly, find the magnitude of the new vector:

[tex]||u+v+w||=\sqrt{(-54.824)^2+(18.531)^2}\\||u+v+w||\approx57.871[/tex]

And finally, find the direction of the new vector:

[tex]\theta=tan^{-1}(\frac{18.531}{-54.824})\\\theta\approx-18.675^\circ\approx-19^\circ[/tex]

Because our new vector is in Quadrant II, our found direction angle is a reference angle, telling us that the actual direction of our vector is 19° clockwise from the negative x-axis, which would be 180°-19°=161°

Thus, B is the best answer

Problem 2

To find the component form of a vector, we simply subtract the initial point from the terminal point. In this case, our initial point is at (7,-1) and our terminal point is at (1,6). We subtract the horizontal and vertical components separately:

[tex]\langle1-7,6-(-1)\rangle=\langle-6,7\rangle[/tex]

Thus, A is the correct answer

Problem 3

Again, subtract the initial point from the terminal point to find the vector, and then apply scalar multiplication:

[tex]-\frac{1}{2}v=-\frac{1}{2} \langle-8-8,10-4\rangle=-\frac{1}{2}\langle-16,6\rangle=\langle8,-3\rangle[/tex]

Thus, C is the correct answer

Problem 4 (top one in 4th image)

Remember that scalar multiplication only affects the magnitude of the vector and not the direction. Thus, [tex]-3u=-3\bigr[20\langle\cos30^\circ,\sin30^\circ\rangle\bigr]=-60\langle\cos30^\circ,\sin30^\circ\rangle[/tex], which means our magnitude is -60 and our direction remains 30°.

Thus, B is the correct answer

Problem 5 (fake #6, bottom one in 4th image)

Basically, whatever is in front of the i represents the horizontal component, and whatever is in front of the j represents the vertical component, so:

[tex]u=-3i+8j=\langle-3,8\rangle[/tex]

Thus, B is the correct answer

Problem 6 (real one, 5th image)

Recall:

Knowing these facts, let us compute the dot product:

[tex]u\cdot v=(-4*28)+(7*-49)=(-112)+(-343)=-455[/tex]

Since the dot product of the two vectors is not 0, then the vectors are not orthogonal, so we can eliminate choices A and B

To check if the vectors are parallel, find the angle between them:

[tex]\displaystyle\theta=cos^{-1}\biggr(\frac{u\cdot v}{||u||\:||v||}\biggr)\\\\\theta=cos^{-1}\biggr(\frac{-455}{\sqrt{(-4)^2+(7)^2}\sqrt{(28)^2+(-49)^2}}\biggr)\\\\\theta=cos^{-1}\biggr(\frac{-455}{\sqrt{16+49}\sqrt{784+2401}}\biggr)\\\\\theta=cos^{-1}\biggr(\frac{-455}{\sqrt{65}\sqrt{3185}}\biggr)\\\\\theta=cos^{-1}\biggr(\frac{-455}{\sqrt{207025}}\biggr)\\\\\theta=cos^{-1}\biggr(\frac{-455}{455}\biggr)\\\\\theta=cos^{-1}(-1)\\\\\theta=180^\circ[/tex]

So, since the angle between the two vectors is 180°, this implies that cosθ=-1, and the two vectors must be parallel.

Thus, D is the correct answer

Answer:

$20

Step-by-step explanation:

take 8 and multiply it by 2 and you get 16

then take half of 8 which is 4 and add it on

16+4=20

Answer:

greater than

Step-by-step explanation:

there is 16 fl oz in a pint so 25>16

Answer:four hundred and thirty nine thousand five hundred and thirty two

Step-by-step explanation:

Answer:

four hundred thirty nine thousand, five hundred thirty two

Step-by-step explanation:

Hope this helps :)