how do you solve -40 -(-12/5) =

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The system of equations has one solution.

To check this, we can graph the two equations of the system:

y = (-1/3)x + 7

y = -2x³ + 5x² + x - 2

On the same coordinate axis, and check how many times do the graphs intercept.

The graph can be seen in the image at the end, there you can see that there is only one intecept point. Thus, the system of equations has only one solution.

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Answer:

infinity

Step-by-step explanation:

Answer:

2(infinity) or 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

The measure of the arc or angle is:

m∠NLM = 60 deg

From the given figure, line LN is the diameter. Thus, the measure of arc LN is 180° (semicircle).

Thus, we can say:

arc NM + arc ML = 180°

(3x + 21) + (8x + 16) =  180°

11x + 37 = 180

11x = 180 - 37

11x = 143

x = 143/11

x = 13

arc NM = 8x + 16

put x = 13:

arc NM = 8(13) + 16 = 120°

Recall that:

The measure of inscribed angle is half the measure of its intercepted arc. That is:

m∠NLM = 1/2 * 120°

m∠NLM = 60°

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Answer: 1 1/2

Step-by-step explanation: I took it on k12

Answer:

The answer is 1 1/2 for K12

The length of the diagonal of the rectangular prism is 14.7 feet to the nearest tenth.

In a three-dimensional space prism is a polyhedron where two ends are similar.

Given:

The dimensions of the right rectangular prism:

Length l = 10cm

Width w = 4cm

Height h = 10cm

The length of the diagonal of the rectangular prism,

= √(l² + w² + h)

= √{(10)² + (4)² + (10)²}

= 14.69

= 14.7 feet.

Therefore, the length of the diagonal is  14.7 feet.

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The transformations of f(x) are (a) a horizontal shrink by a factor of 1/4,

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

f(x) = x²

g(x) = (4x)²

Mathematically, these equations can be represented as

g(x) = f(4x)

The above equations implies that, we have the transformation to be:

The 4x implies that the function f(x) is horizontally shrunk by a factor of 1/4

Hence, the transformed function is (a)

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Answer:

Step-by-step explanation:

Cost of 3 oranges = cost of 54 oranges / 18

The number of sodas sold at the baseball game was 119, while the number of hot dogs sold was 72.

Let's assume the number of sodas sold as 'x' and the number of hot dogs sold as 'y'.

According to the problem, the total number of sodas and hot dogs sold is 191, so we can write the equation:

x + y = 191   ...(1)

The problem also states that the number of hot dogs sold was 47 less than the number of sodas sold. Mathematically, we can express this as:

y = x - 47   ...(2)

To find the values of x and y, we can solve the system of equations (1) and (2). Substituting equation (2) into equation (1), we have:

x + (x - 47) = 191

Simplifying the equation:

2x - 47 = 191

2x = 191 + 47

2x = 238

Dividing both sides by 2:

x = 238/2

x = 119

Substituting the value of x back into equation (2):

y = 119 - 47

y = 72

As a result, the total amount of sodas sold is 119, and the total amount of hot dogs sold is 72.

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Answer:

  y = -5/2x +1

Step-by-step explanation:

You want the slope-intercept form equation for the line through the point (-2, 6) that is parallel to 5x +2y = -4.

The equation of a parallel line can be the same as the given equation, except for the constant. The new constant can be found by substituting the given point coordinates:

  5(-2) +2(6) = c

  -10 +12 = c

  2 = c

Now we know the equation of the parallel line can be written as ...

  5x +2y = 2

Solving for y puts this in slope-intercept form:

  2y = -5x +2 . . . . . . . . subtract 5x

  y = -5/2x +1 . . . . . . . . divide by 2

We don't know what your boxes look like, but we can separate the numbers to make it look like this:

  \(\boxed{y=\dfrac{-5}{2}x+1}\)

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Answer:

10 i think thats not really a questuon tho

The expression can be rewritten by given term as;  3^15

We need to simplify the expression below:

(3^2 x 3^3)^3

Remember that we can add these exponents, so we get:

(9 x 9)^3 = 81^3

Then we can rewrite this as:

531441

Takin the product between the exponents we will get:

(3^5)^3

Thus, the solution is 3^15

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The vector whose magnitude is 3 and whose components I. the I and j direction are equal is; <3√2/2i, 3√2/2j>.

It follows that the magnitude of a vector in terms of its components in the i and j direction is;

M = √(x² + y²).

On this note, since the i and j components are equal; x = y and hence, we have;

3 = √(x² + x²).

3² = 2x²

x² = 9/2

x = 3/√2

x = 3√2/2

On this note, the required vector which is as described is; <3√2/2i, 3√2/2j>.

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Answer:

105cm

Step-by-step explanation:

please click crown below my answer.

Answer:

The ratio equivalent to the sin of ∠A will be:

sin ∠A = BC / AB

Hence, option 3) is correct.

Step-by-step explanation:

We know that some of the trigonometric ratios such as

In our case

Ф  = ∠A

As we have to determine the ratio equivalent to the sin of ∠A

so

sin Ф = Opposite / Hypotenuse

Here:

Ф  = ∠A

Opposite of ∠A = BC

Hypotenuse = AB

Thus,

substituting Ф  = ∠A, Opposite = BC, Hypotenuse = AB

sin Ф = Opposite / Hypotenuse

sin ∠A = BC / AB

Therefore, the ratio equivalent to the sin of ∠A will be:

sin ∠A = BC / AB

Hence, option 3) is correct.

The total sales required to earn the desired income of $2800 is calculated to be $6,375.

Sale is a business transaction involving the exchange of goods or services for money. It can refer to the act of selling, or the thing that is sold. Sales are typically the main source of revenue for businesses. The process of selling involves finding potential customers, negotiating a price, and delivering the product or service. The ultimate goal is to make a profit.

In order to earn a monthly income of $2800, a local salesman would need to sell $6,375 worth of goods in a month. This is calculated by subtracting the base salary of $875 from the desired income of $2800, which leaves $2,925. Then, 6% of $1450 is $87, so the remaining $2,838 must be made up of 6% of the sales above $1450. By dividing this amount by 6%, the total sales required to earn the desired income of $2800 is calculated to be $6,375.

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\(x-9z^5+4z+11+2z^5+14=-5z^5-3z+25\\x=2z^5-7z\)

Therefore, it's \(2z^5-7z\).

10-10=69.420!!!!!!!!!!

Answer:

The table represents a nonlinear function because the rate is not constant.

Step-by-step explanation:

As shown in the picture below, the x side of the table has the same rate of change of +1. However, due to the fact that the y side does not have the same rate of change, +6 and +3, the table represents a non linear function. If the rate on the y side of the table were all the same, then this would be a Linear function.

The ribbon therefore costs $37.80 in total and Jeanne needs therefore purchase 378 feet of ribbon.

A mathematical idea called the unitary technique is used to resolve issues with direct or inverse proportionality. Finding the value of one unit is the first step, and you can use this value to calculate the value of any other number of units. In other words, it is a technique for determining the value of a single unit and then extrapolating that value to any number of units that are wanted. For instance, if we know that 2 apples cost $4, we may use the unitary technique to calculate the price of 5 apples.

given

Part A: Jeanne requires 1.5 yards, or 4.5 feet, of ribbon to make one bow (since there are 3 feet in a yard). In order to produce 84 bows, she will need:

378 feet of ribbon is 84 bows multiplied by 4.5 feet each.

Jeanne needs therefore purchase 378 feet of ribbon.

Part B: If the ribbon is priced at 10 cents per foot, then 1 foot of ribbon will cost you $0.10. As a result, 378 feet of ribbon costs:

$37.80 is the result of multiplying 378 ft by $0.10 per foot.

The ribbon therefore costs $37.80 in total and Jeanne needs therefore purchase 378 feet of ribbon.

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Answer:

Step-by-step explanation:

its  A y+6=-2

A node is a point of no displacement in a standing wave. Therefore, if point P does not move, it is most likely located at a node. the points along the wave that experience maximum displacement are called antinodes.

A node is a point of no displacement in a standing wave, meaning that if the stretched string of the apparatus represented is made to vibrate, point P will not move. Point P is most likely located at a node as it experiences no displacement. A standing wave is created when two waves combine and the resulting wave is stationary. The points along the wave that experience no displacement are called nodes, and the points along the wave that experience maximum displacement are called antinodes. Nodes can be found at points that are integral multiples of half the wavelength of the wave. Therefore, it can be concluded that point P is at a node since it does not move when the string is made to vibrate.

The complete question is :

When the stretched string of the apparatus represented below is made to vibrate, point p does not move. Point p is most probably at the location of _____.

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The equivalent expression of the given expression is (2/5)¹⁴

From the question, we are to write an equivalent expression for the given expression

The given expression is

"two fifths raised to the fourth power times two fifths raised to the third power all raised to the second power"

That is,

[(2/5)⁴ × (2/5)³]²

Simplifying

[(2/5)⁴ × (2/5)³]²

Applying the multiplication law of indices, we get

[(2/5)⁴⁺³]²

Simplify further

[(2/5)⁷]²

This becomes,

(2/5)⁷ˣ²

(2/5)¹⁴

Hence, the equivalent expression of the given expression is (2/5)¹⁴

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Answer:

Positive association, outlier, and cluster

Step-by-step explanation:

Positive association because points go up, outliers are at the end of graph, cluster is at the end as well.

Answer: y=-13/12x-7

Step-by-step explanation:

To find the slope-intercept form, we first need to find the slope. To find the slope, you use the formula \(m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\). We use the two given points to find the slope.

\(m=\frac{32-6}{-36-(-12)} =\frac{26}{-24} =-\frac{13}{12}\)

Now that we have our slope, we can start filling out the slope-intercept form equation.

y=mx+b

y=-13/12x+b

Since we don't know the y-intercept, we can use one of the given points and solve for b.

6=(-13/12)(-12)+b                              [multiply (-13/12) and -12]

6=13+b                                              [subtract both sides by 13]

b=-7

With the y-intercept, we can complete our equation.

y=-13/12x-7

All the answers to the given questions are mentioned below -

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

Given are six graphs as shown in the image.

The equation of graph [1] -

m = (- 2 - 4)/(2 - 0)

m = -6/2

m = -3

Equation : y = -3x + 4

The equation of graph [2] -

m = (0 + 1)/(2.5 - 0)

m = 1/2.5

m = 10/25

m = 2/5

Equation : y = 2x/5 - 1

The equation of graph [3] -

Equation : y = 4

The equation of graph [4] -

Equation : x = 2

[1] : 2x - y = - 7

y = 2x + 7

[2] : 5x + 3y = 12

3y = -5x + 12

y = -5x/2 + 4

[3] : x - y = 1

y = x - 1

[4] : x - 3y = - 15

3y = x + 15

y = x/3 + 5

[5] : 8x - 10y = 20

8x - 20 = 10y

y = 4x/5 - 2

[6] : 14x + 6y = 36

6y = -14x + 36

y = -7x/3 + 6

Therefore, all the answers to the given questions are mentioned above.

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[REFER TO IMAGE FOR QUESTION]

Answer:

Choice B

Step-by-step explanation:

7.1×10⁵ = 710,000

Answer:

The answer is B. 7.1 times 10^5.

Step-by-step explanation:

To convert a number to scientific notation, place or move the decimal point of a number until the coefficient of the number is greater than 1 and less than 10. Record down the coefficient and count the number of steps the decimal point was moved. The number of steps moved is taken as the exponent.

In 710,000, the decimal is moved to the left 5 times. Thus, causing 710,000 to written as 7.1 times 10^5 in scientific notation.

Answer:

B

Step-by-step explanation:

Answer:

1.8 < x

Step-by-step explanation:

you add the 1 x to the 4 x

9< 5x then u divided by 5

1.8 <x

Answer:

Twelve and one fourth feet

Step-by-step explanation:

9 and 3/4 feet =9.75

2 and 2/4 feet =2.50

9.75 + 2.50

= 12.25/12 and 1/4 feet