Six less than a number is four more than one-third of the number. Find the number.

Answer:

You can add graph by using the edit button and uploading a picture of the screen. if you then cut the picture before uploading so it just shows the graphand not the question. We cna then try answer for you.

Step-by-step explanation:

Generally graphs starting at point x=0 would show a different value for y by looking and counting up to its temperature.

if this shows positive it would be above the x axis line if it shows negative it would be a minus value below the x axis line under zero on y.

Therefore when we get to hr 2 and see this change you can count across and count up and see the rate of change is either 1,2,3,4,56,7,8 etc difference or 1x 2x 3x 4 x 5x 6 x as multiples.This then indicates a scale change at certain points.

Answer:The compound interest formula is an equation that lets you estimate how much you will earn with your savings account. It's quite complex because it takes into consideration not only the annual interest rate and the number of years but also the number of times the interest is compounded per year.

Step-by-step explanation:

Answer: Let x be the number of bottles of lemonade and y be the number of juice boxes.

The cost of x bottles of lemonade is 2x dollars.

The cost of y juice boxes is 0.5y dollars.

The total cost of the drinks is the sum of the cost of the bottles of lemonade and the cost of the juice boxes:

2x + 0.5y ≤ 100

So the correct inequality that models this situation is:

(3) 2x + 0.50y ≤ 100

Therefore, Peter can spend no more than $100 on drinks, which includes the cost of the bottles of lemonade and the juice boxes.

Step-by-step explanation:

Answer:

\(Q(-2,3) \longrightarrow Q'(-1/3, 1/2) \\ \\ R(-3,1) \longrightarrow R'(-1/2, 1/6) \\ \\ T(2,-1) \longrightarrow T'(1/3, -1/6) \\ \\ W(2,4) \longrightarrow W'(1/3, 2/3)\)

Step-by-step explanation:

For a dilation at the origin, multiply each of the coordinates by the scale factor.

\(Q(-2,3) \longrightarrow Q'(-1/3, 1/2) \\ \\ R(-3,1) \longrightarrow R'(-1/2, 1/6) \\ \\ T(2,-1) \longrightarrow T'(1/3, -1/6) \\ \\ W(2,4) \longrightarrow W'(1/3, 2/3)\)

Answer:

We conclude that:

csc (U) = 26 / 24        

Step-by-step explanation:

Given

To determine

csc (U) = ?

Using the trigonometric ration

sin Ф = opposite / hypotenuse

substituting Ф = U, opposite = 24, hypotenuse = 26

sin (U) = 24/26

We know that: csc (U) = [1 ] / [sin(U)]

Therefore,

csc (U) = [1 ] / [sin(U)]

            = 26 / 24

Therefore, we conclude that:

csc (U) = 26 / 24        

Answer:

This is the arithmetic sequence which has a common difference that equals to -4.

Step-by-step explanation:

An arithmetic sequence is a sequence with common difference. A common difference can be found by subtracting previous term with next term.

A common difference can be expressed in \(\displaystyle \large{d=a_{n+1}-a_n}\) where d stands for common difference.

________

Moving to the question given. We have a sequence with given 15,11,7, ... first subtract 15 with 11.

11-15 = -4

7-11 = -4

Therefore, we can conclude that the common difference is -4 thus making the given sequence an arithmetic.

Let me know if you have any question so regarding the sequence!

The number of minutes spent higher than 38 meters above the ground on the Ferris wheel ride is approximately 1.0918 minutes.

To solve this problem, we need to determine the angular position of the Ferris wheel when it is 38 meters above the ground.

The Ferris wheel has a diameter of 50 meters, which means its radius is half of that, or 25 meters.

When the Ferris wheel is at its highest point, the radius and the height from the ground are aligned, forming a right triangle.

The height of this right triangle is the sum of the radius (25 meters) and the platform height (4 meters), which equals 29 meters.

To find the angle at which the Ferris wheel is 38 meters above the ground, we can use the inverse sine (arcsine) function.

The formula is:

θ = arcsin(h / r)

where θ is the angle in radians, h is the height above the ground (38 meters), and r is the radius of the Ferris wheel (25 meters).

θ = arcsin(38 / 29) ≈ 1.0918 radians

Now, we know the angle at which the Ferris wheel is 38 meters above the ground.

To calculate the time spent higher than 38 meters, we need to find the fraction of the total revolution that corresponds to this angle.

The Ferris wheel completes one full revolution in 2 minutes, which is equivalent to 2π radians.

Therefore, the fraction of the revolution corresponding to an angle of 1.0918 radians is:

Fraction = θ / (2π) ≈ 1.0918 / (2π)

Finally, we can calculate the time spent higher than 38 meters by multiplying the fraction of the revolution by the total time for one revolution:

Time = Fraction \(\times\) Total time per revolution = (1.0918 / (2π)) \(\times\) 2 minutes

Calculating this expression will give us the answer in minutes.

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Answer: Number 2

Step-by-step explanation: yes

The measure of the angle B of the triangle is 78.15 degrees

From the question, we have the following parameters that can be used in our computation:

A = 25 degrees

a = 9.5 units

b = 22 units

Using the law of sines, the angle B is calculated as

sin(A)/a = sin(B)/b

So, we have

sin(25)/9.5= sin(b)/22

This gives

sin(b) = 22 * sin(25)/9.5

Evaluate

sin(b) = 0.9787

Take the arc sin of both sides

b = 78.15

Hence, the measure of the angle is 78.15 degrees

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Answer:

180-(61+59) should give you the answer

Answer:

61+59

Step-by-step explanation:

gives u your answer

Therefore , the solution of the given problem of area comes out to be

r = 8.

The term "area" describes the amount of space occupied by a 2D form or surface. We use cm2 or m2 as our units for measuring area. A shape's area is determined by dividing its length by its breadth.

Here,

A 90 degree sector occupies 1/4 of a circle, which has 360 degrees. Consequently, the area of the whole circle can be written as

Sector Size/Sector Area = Circle Area/360

16 ft2/90 = n/360

(360) (16 ft2)/90 = n

(4)(16 ft2) = n

The total size of the circle is n = 64 ft2.

Since Area of a Circle equals r2,

∏r2 = 64

r2 = 64/∏

r = √(64/∏)

We multiply by / to get by rationalizing the denominator.

r = √(64∏)/√(∏2) Then using the denominator's square root, we can obtain the solution of

r = √(64∏)/∏

r = 8

Therefore , the solution of the given problem of area comes out to be

r = 8.

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Answer:

1433 m^2

Step-by-step explanation:

Area of the triangle

16 x 16 x 1/2 = 128

Area of the hexagon

A = \(\frac{3\sqrt{3} }{2} *a^2\)

a is a side of the hexagon

A =  \(\frac{3\sqrt{3} }{2} * 16^{2}\) = 665.1075101...

There are 6 triangles so...

128 x 6 = 768

Therefore the surface area is

665.1075101... + 768 = 1433.10751 m^2

Based on the information in the triangle, the measure of ZDEB is 54°.

A triangle is a polygon with three sides and three angles. It is one of the basic shapes in geometry. Triangles are commonly represented by drawing three line segments that connect three non-collinear points. The points where the line segments intersect are called the vertices of the triangle, and the line segments themselves are the sides of the triangle.

The sum of the measures of the angles of a triangle is 180 degrees. Therefore,

mZAEC + m/AED + mZDEB = 180

(2x+4) + (5x+1) + mZDEB = 180

7x+5 = 180

7x = 175

x = 25

mZDEB = 2x+4 = 2(25)+4 = 54 degrees

Hence, the answer is 54

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Answer: The negative sign in front of 7/8 indicates that the fraction is negative. To find an equivalent fraction, we can keep the same value but change the sign. Therefore, an equivalent fraction that is positive would be (-(7/8)) = (-7)/8.

Step-by-step explanation:

It is proven that the other nth roots of z can be found by multiplying the initial one by the nth roots of unity.

A complex number satisfying the equation \(z^{n-1} = 0\) is known as the nth root of unity. There are about n nth roots of a unit, according to the fundamental theorem of algebra. We know that,\(1=e^{2\pi i}\). Then, the nth root is written as \(\omega=e^{2\pi i/n}\).

The integer of powers of this root between 0 and n-1 provides the other nth roots. Then, the roots are \(1, \omega, \omega^2 ,\cdots \cdots, \omega^{(n-1)}\). Now, factorize the equation \(z^{(n-1)} = 0\) we get the required identity as, \(z^{(n-1)} = (z- 1)(z^{(n-1)}+ z^{(n-2)} + \cdots \cdots+ z + 1) = 0\).  

This indicates that the equation \(1+\omega+ \omega^2+\cdots \cdots+ \omega^{(n-1)}\) is true for all nth roots of unity other than 1.

Roots of unity also have the great quality of being periodic, which results from the fact that n = 1. It is equal to a power of that power mod n if the power is bigger than n.

When ω is a third root of unity, \(\omega^5 + \omega^4 + 1 = \omega^2 + \omega + 1 = 0\).

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Solution:

For this case we know that the sum of the angles in the quadrilateral is 360º

Then we also know that opposite angles measure up to 180 degrees. So we have this:

4x +5 +4x -10 +3x+7 + m< Q= 360

Solving for m < Q we got:

m< Q= 360-5+10-7 -11x

m < Q= 358 -11x

then we can use the second condition and we have:

m < Q= 358 -11x = 4x -10

And solving for x we got:

368 = 15x

x = 368/15= 368/15

:

368 =

Answer:

-12x^2 - 9x +30

Step-by-step explanation:

     -4x           5

3x l -12x^2  l  15x

---- l   ------   l  -------

6   l -24x     l  30

\(~~(3+6i)(2+8i)\\\\=3(2) + 3(8i) + 2(6i)+ (6i)(8i)\\\\=6 + 24i +12i+48i^2\\\\=6+36i-48~~~~~~~~~~~~~~~~~~~~~~~;[i^2 = -1]\\\\=-42+36i\)

For part (a) the answer is 400 grams for part (b) 198.63 grams and for part (c)  20 years.

During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.

We have an equation for radioactive decay:

\(\rm m(t) = 400e^{-0.035t}\)

a) Plug t = 0

\(\rm m(0) = 400e^{-0.035\times 0}\)

m(0) = 400 grams

b) plug t = 20 years

\(\rm m(20) = 400e^{-0.035\times 20}\)

After solving:

m(20) = 198.63 grams

c) Plug m(t) = m(0)/2 = 400/2 = 200 grams

\(\rm 200 = 400e^{-0.035t}\)

x = 19.80 years ≈ 20 years

Thus, for part (a) the answer is 400 grams for part (b) 198.63 grams and for part (c)  20 years.

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Answer:

Step-by-step explanation:

12.4% 153000 = 12.4/ 100  * 153000 = 0.124 * 153000 = 1897

84.1% 153000 = 84.1/100 * 153000 = 0.841 * 153000 = 128673

The difference (and the answer) is  128673 - 1897 = 126776

Note: 3.5% are not accounted for. They probably just sat down and wrote.

Answer:

False i just did it

Step-by-step explanation:

3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

To express 3 1/2 cups as a multiplication expression using the unit "1 cup" as a factor, you can write it as:

3 1/2 cups = (3 + 1/2) cups = 3 cups + 1/2 cup

Since there are 1 cup in each term, we can rewrite it as:

3 cups + (1/2) cup

Now, we can express each term as a multiplication expression:

3 cups = 3 * 1 cup = 3

(1/2) cup = (1/2) * 1 cup = 1/2

Putting it all together, the multiplication expression is:

3 * 1 cup + (1/2) * 1 cup = 3 + 1/2

Therefore, 3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

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Answer:

6 divided 17 is equivalent to 6/17

Answer:

80 degrees

Step-by-step explanation:

point A to point B is 80 degrees

Answer:

\(\overset\frown{AB}=136^{\circ}\)

Step-by-step explanation:

The given diagram shows a circle with a tangent BC and chord AB. The chord intersects the tangent at the point of tangency, point B.

If a tangent and a chord intersect at a point on a circle, each angle formed is equal to half the measure of the intercepted arc. Therefore:

\(68^{\circ}=\dfrac{1}{2}\overset\frown{AB}\)

Multiply both sides by 2:

\(2 \cdot 68^{\circ}=2 \cdot \dfrac{1}{2}\overset\frown{AB}\)

  \(136^{\circ}=\overset\frown{AB}\)

   \(\overset\frown{AB}=136^{\circ}\)

Therefore, the measure of arc AB is 136°.

Answer:

86% is the percent of the book has Sarah left to read?