How many ways can the letters SENSELESS be arranged?

Answer:

First find the sales tax: $160 \times 0.0785 = $12.56.

Then add the sales tax to the price of the purchase to find the total cost: $160 + $12.56 = $172.56.

Next find the daily interest rate: $0.042\% = 0.00042$.

Then multiply the daily interest rate by the total cost to find the interest per day: $0.00042 \times $172.56 = $0.0725752$.

Finally, multiply the interest per day by 30 days to find the total interest and add it to the total cost to find the final answer: $0.0725752 \times 30 = $2.177256 + $172.56 = $174.737256 \approx $174.74.

So the answer is b.

Answer:

y=0.3x

Step-by-step explanation:

Formula = \(K=\frac{y}{x}\)

y α x

y = kx

Where k is the constant of proportionality.

When y = 1.5; x = 5;

We substitute these known values in the equation,

y = kx

1.5 = k5

Dividing both sides of the equation by 5 to find the value for k, we have

1.5/5= k0.3/5

Therefore,

K = 0.3

Having found the value of k,

We substitute this value into the relationship

y = kx

Therefore we have,

y = 0.3x.

The direct variation function is therefore,

y = 0.3x.

[RevyBreeze]

Answer:

y= 0.3x

Step-by-step explanation:

Since y varies directly as x, use the direct variation equation, y = kx.

1.5 = k(5) Substitute 1.5 for y and 5 for x.

k = 0.3 Solve for k.

Write the direct variation function by using the value for k.

y = 0.3x Substitute 0.3 for k in y = kx.

50.62 square inches is the surface area of a cylinder

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that Manzanita berries look like little apples. Manzanita juice is sold in cylindrical cans.

A typical can of manzanita juice has a height of 4.9 inches and diameter of 2.6 inches.

We need to find the surface area of the can.

Height of can = 4.9 inches

Diameter =2.6 inches

Radius=2.6/2=1.3

Surface area=2πг² + 2лrh.

=2πг(r+h)

=2×3.14×1.3×(1.3+4.9)

=8.164(6.2)

=50.62 square inches

Hence, 50.62 square inches is the surface area of a cylinder

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Answer:

x = 7 and y = -8      ordered pair is (7, -8)

Step-by-step explanation:

0.1x + 0.3y = - 1.7

0.3x - 0.5y = 6.1

Solving the first equation for x    0.1x = -0.3y - 1.7

                                                     0.1x/0.1 = -0.3y/0.1 - 1.7/0.1

                                                          x = -3y - 17

Substitute into the second equation.

0.3(-3y - 17) - 0.5y = 6.1

 -0.9y - 5.1 - 0.5y = 6.1

-1.4y - 5.1 = 6.1

-1.4y = 5.1 + 6.1

-1.4y = 11.2

     y = 11.2/-1.4

     y = -8

     Substitute y into the first  equation and solve for x

               x = -3y - 17

                x = -3(-8) - 17

                x = 24 - 17

                x = 7              

Answer:

c?

Step-by-step explanation:

not  sure.

Answer:

12

Step-by-step explanation:

Here we use SOHCAHTOA

Seeing as we have the hypotenuse and we are working to find out the opposite, we use SOH

Sin(x)= Opposite/Hypotenuse

Sin(45) = x/\(12\sqrt{2} \\\)

×12 root 2

sin(45) times 12 root 2=  12

x=12

Answer:

its first one

Step-by-step explanation:

37.5/15=2.5

42.5/17=2.5

52.5/21=2.5

Answer:

\( - 8(45) + 482 = - 360 + 482 = 122\)

Answer:

Image attached

It is unlikely that the cat will be saved as the firefighters will be able to reach only up to 33 mm from the ground.

A right angled triangle is a triangle with one of its angle as 90 degree and Pythagoras theorem can be applied to determine the sides of the triangle.

The ladder height = 35 m

The horizontal distance of the ladder = 12m

The height at which the cat is stuck is 39 m

By Pythagoras theorem , the height up to which the firefighters can reach can be determined

h = \(\rm \sqrt {35^2 - 12^2}\)

h = 32.8 ≈ 33 m

Therefore the height up to which the fire fighters can reach is 33m and the height at which the cat is stuck is at 39 m , the likelihood of the cat getting saved is not there.

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Answer:

For smaller numbers you can simply look at the factors or multiples for each number and find the greatest common multiple of them.

For 18 and 45 those factors look like this:

. Factors for 18: 1,2,3,6,9 and 18

. Factors for 45: 1,3,5,9,15 and 45

As you can see when you list out the factors of each number, 9 is the greatest number that 18 and 45 divides into.

Step-by-step explanation:

l hope it helps❤

Answer:

9 is it HOPE THIS HELPS

The total volume is the one in option C, 708 cubic centimeters.

We know that this prism can be divided into two prisms, and remember that the volume of a prism is equal to the product between its dimensions.

Then the volume of the first prism is:

V = 8cm*6cm*13cm = 624 cm³

And the volume of the second prism is:

v' = 3cm*4cm*7cm = 84 cm³

Adding that we will get:

total volume =  624 cm³+  84 cm³ = 708 cm³

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Answer:

x by 10

Step-by-step explanation:

the decimal will have to move by one digit

Answer:

my brother said it was  

Step-by-step explanation:

1400.053...

Answer: 20

Step-by-step explanation:

I guess that we want to distribute all the 7 candies between 4 kids

We have 3 options:

first 3, 2, 1 and 1. (the number of candies that each kid gets)

The possible permutations in this case:

if we leave the 3 fixed, the ones do are equal, so the permutations are only given by the change in the kid that gets 2 candies, we have 3 permutations for this.

And for the fixed 3, we have 4 possible places where we can fix it, so the total number of combinations is:

c = 3*4 = 12.

and the second option is (2, 2, 2, 1)

Here the only change is the kid that gets only one candy, we have 4 options in this case:

c = 4.

the third option is (4, 1, 1, 1)

Here the only change is the kid that gets 4 candies, and we have 4 options for this, so we have 4 combinations:

c = 4.

Then the total number of possible combinations is:

C = 12 + 4 + 4 = 20

Answer: 7 baseball cards

Step-by-step explanation: 10% of 70 is 7. Hope this helps :)

Answer:

18. 2,970 orbits.

19. 12,00 pounds

20. Vic’s town by 52,000

Step-by-step explanation:

The extremas of the function f(x) = x³ - 7x² + 10x are given as follows:

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Answer:

Step-by-step explanation:

The events are not independentd) The events are not mutually exclusiveStep-by-step explanation:Hi!Lets call: Gar = {homes with garage}Pool

Answer:

None of the choices are correct

Stefofp-by-step explanation:

Simplify the following:

(-6 x^3 y^4 + 9 x^8 y^2)/(3 x y)

Factor 3 x^3 y^2 out of -6 x^3 y^4 + 9 x^8 y^2:

(3 x^3 y^2 (-2 y^2 + 3 x^5))/(3 x y)

(3 x^3 y^2 (-2 y^2 + 3 x^5))/(3 x y) = 3/3×(x^3 y^2 (-2 y^2 + 3 x^5))/(x y) = (x^3 y^2 (-2 y^2 + 3 x^5))/(x y):

(x^3 y^2 (-2 y^2 + 3 x^5))/(x y)

Combine powers. (x^3 y^2 (-2 y^2 + 3 x^5))/(x y) = x^(3 - 1) y^(2 - 1) (-2 y^2 + 3 x^5):

x^(3 - 1) y^(2 - 1) (-2 y^2 + 3 x^5)

3 - 1 = 2:

x^2 y^(2 - 1) (-2 y^2 + 3 x^5)

2 - 1 = 1:

Answer:  x^2 y (-2 y^2 + 3 x^5)

The approximate direction of the angle of the vector is determined as 45 degrees.

The approximate direction of the angle of the vector is calculated by applying the following formula for direction of a vector as follows;

The formula for the direction of a vector is given as;

tan θ = Vy / Vx

where;

The vector is given as;

V = 4i + 4j - 2k

The y component = 4, and the x component = 4

The direction of the vector is calculated as;

tan θ = 4 / 4

tan θ = 1

θ = arc tan (1 )

θ = 45⁰

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Answer:

(x+y)-abc is the correct answer

Step-by-step explanation:

product means multiplcation

A*B*C - (X+Y)

ABC - (X+Y)

By making x the subject of the formula in this equation u = cos(0.5x)​ gives x = 2cos⁻¹(u).

In Mathematics and Geometry, an equation can be defined as a mathematical expression which shows that two (2) or more thing are equal. This ultimately implies that, an equation is composed of two (2) expressions that are connected by an equal sign.

In this exercise, you are required to make "x" the subject of the formula in the given mathematical equation by using the following steps.

By taking the arc cosine of both sides of the equation, we have the following:

u = cos(0.5x)

cos⁻¹(u) = 0.5x

By multiplying both sides of the mathematical equation by 2, we have the following:

2 × cos⁻¹(u) = 0.5x × 2

x = 2cos⁻¹(u)

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Answer:

10000

Step-by-step explanation:

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Answer:

24 ounces

Step-by-step explanation:

the math is.  

.681÷ .454= 1.5 which is in pounds than you take 16÷2= 8 take that 8 add it to the 16 giving you 24 ounces

Answer:

24

Step-by-step explanation:

Answer:C

Step-by-step explanation: slope of 0 will always be horizontal

Answer: 4410 \(ft^2\)

Step-by-step explanation:

To find the area of a square or rectangle, all you need to do is multiply the length times the width:

L × W = A

The lengh is 100, and the width is 50

100 × 50 = 5000

However, in this problem, we also have other shapes in the rectangle. To find the area of JUST the green, we need to subtract the areas of the two circles and small blue rectangle.

First, let's get the two circles over with. To find the area of a circle, use this formula:

A = π\(r^2\)      r is the radius, which in this case, is 6

A = π\(6^2\)

A = 113       This isn't the exact answer, the exact answer would be 113.0973...

Now let's multiply the area of one of those circles by 2, since we have 2 circles:

113 × 2 = 226

Finally, we have to find the area of the blue rectangle. This is simple, just use the formula from the very beginning:

26 × 14 = 364

The last thing to do is to subtract the areas of the two circles and blue rectangle from the area of the entire thing:

5000 - (226 + 364) = 4410 \(ft^2\)

Answer:

Y=4

Step-by-step explanation:

8*0+4=4

Answer:

slope intercept

y=6/5x+14/5

point slope=

y-4=6/5 (x-1)

therefore y-4/x-1=6/5 is the answer