I think of a number i halve it then subtract four

Answer:

Area = 3x^2 +x -14 units^2

Step-by-step explanation:

Area of a rectangle is (width x height)

Area = (x-2)*(3x+7)

Area = 3x^2 +x -14

Answer:

x = 3

Step-by-step explanation:

if the triangles are similar then the side lengths must be proportional:

8/6 = 4/x cross multiply expressions

8x = 24 divide both sides by 8

x = 3

Answer:

it will take her 79.76 minutes to rise to the surface

Step-by-step explanation:

Total distance to the surface = 40 yards

speed of rising = 1 foot per seconds

1 foot = 1 second

since the total distance is in yards, let's convert from foot to yards:

1 yard = 3 feet

1 foot = 1/3 yards = 0.333 yards

0.33 yards = 1 second

Next, let's convert from seconds to minutes

60 seconds = 1 minute

∴ 1 second = 1/60 minute

1 second = 0.0167 minute

Therefore the speed at which she rose:

speed

0.333 yards = 0.0167 minutes

Now for a distance of 40 yards:

\(1\ yard = \frac{0.0333}{0.0167} minutes\\\therefore\ 40\ yards = \frac{0.0333}{0.0167} \ \times\ \frac{40}{1} \\= \frac{1.332}{0.0167} \\= 79.76\ minutes\)

Answer:

4 minutes

Step-by-step explanation:

Answer:

Protractor

Step-by-step explanation:

You use a ruler to draw a straight line.

You use a protractor to draw an angle.

A straight line is to a ruler and an angle is to protractor.

"A protractor is a simple measuring instrument that is used to measure angles. A common protractor is in the shape of a semicircle with an inner scale and an outer scale and with markings from 0 degrees and 180 degrees on it."

"A math ruler is used to measure the length in both metric and customary units. The rulers are marked with standard distance in centimeters in the top and inches in the bottom and the intervals in the ruler are called hash marks."

A straight line is to a ruler and an angle is to protractor.

A protractor is a simple measuring instrument that is used to measure angles. A common protractor is in the shape of a semicircle with an inner scale and an outer scale and with markings from 0 degrees and 180 degrees on it.

Cosine is a trigonometric function that for an acute angle is the ratio between the leg adjacent to the angle when it is considered part of a right triangle and the hypotenuse.

A math ruler is used to measure the length in both metric and customary units. The rulers are marked with standard distance in centimeters in the top and inches in the bottom and the intervals in the ruler are called hash marks.

A calculator is a device that performs arithmetic operations on numbers. The simplest calculators can do only addition, subtraction, multiplication, and division.

Hence, A straight line is to a ruler and an angle is to protractor.

Option (C) is correct.

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The perimeter of a polygon is the total length of its boundary, which is the sum of the lengths of all its sides. It represents the distance around the outer edge of the polygon.

To find the perimeter of a polygon, we need to add up the lengths of all its sides.

In this case, we have a polygon with three vertices: $u(-2,\ 4)$, $v(3,\ 4)$, and $w(3,-4)$.

The distance between two points in a coordinate plane can be found using the distance formula:
distance =\(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)

Let's calculate the distances between the given points:
- The distance between u and v is \($\sqrt{(3 - (-2))^2 + (4 - 4)^2} = \sqrt{25} = 5$\)
- The distance between v and w is \($\sqrt{(3 - 3)^2 + (4 - (-4))^2} = \sqrt{64} = 8$\)
- The distance between w and u is \($\sqrt{(-2 - 3)^2 + (4 - (-4))^2} = \sqrt{89} \approx 9.43$\)

Now, let's add up the lengths of all the sides:
\($5 + 8 + 9.43 \approx 22.43$\)

Therefore, the perimeter of the polygon is approximately 22.43, rounded to the nearest hundredth.

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Answer:

z = 9/8

Step-by-step explanation:

10 −3(z−2) = 5z + 7

10 - 3z + 6 = 5z + 7

-3z + 16 = 5z + 7

-3z - 5z = 7-16

-8z = -9

z = 9/8

Answer:

Step-by-step explanation:

experimental probability is

number of times 3 appeared / number of tooses you experimented

\(P_{3} = \frac{1}{6}\)

Answer:

impossible

Step-by-step explanation:

a denominator can’t be equal to 0. So:

d ≠ 0 ; d ≠ 2

(10 + 4d - 8)/d(d-2) = 5d/ d(d-2)

4d + 2 = 5d

d = 2

But we have said that d can’t be equal to 2, so the equation is impossible.

Answer

The width of Michelle's room = 111 inches.

Answer: Johnathon could walk 84 blocks in 3 minutes.

Step-by-step explanation:

So you already know that he can walk 7 blocks in 15 seconds. There are 60 seconds in a minute. So you would multiply 15 by 4 to get 60 which means you would also multiply 7 by 4. Which is 28. Then you would multiply it by 3 since there are 3 minutes. 28 times 3 is 84.

Answer:

X intercepts: (21,0)

Y intercepts: (0, -15)

Step-by-step explanation:

To find the x-intercept, substitute 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

Answer:

Step-by-step explanation:

Let the price of DVDS = x

The price of movie tickets = y

The total price of five DVDs (all the same cost) and four movie tickets (all the same cost) is $138,

= 5x + 4y = $138

The total price of two DVDs and five movie tickets is $96.

2x + 5y = $96

Hence:

5x + 4y = $138.... Equation 1

2x + 5y = $96..... Equation 2

What is the price of one movie ticket?

Elimination method

2y = 204

y = 204/2

y = 102

We have to show that cn(x) can easily be computed from cn-1(x).Then, cn(x) is given by:cn(x) = (1/n) * x * cn-1(x), for n>0, and c0(x) = 1. Let’s write a Python function to compute the Taylor series of the exponential function of order N. We will make it such that it only keeps two local variables.

We can compute the exponential function using the Taylor series as follows:

def exp_taylor(x, N):

sum = 1.0

term = 1.0

for n in range(1, N):

term *= x / n

sum += term

return sum

This function takes two arguments x and N, where x is the value for which the exponential function is to be computed, and N is the order of the Taylor series expansion. The function returns the sum of the Taylor series up to the Nth order.

Now, let’s make a plot of the convergence with N by comparing the result to numpy's evaluation of the exponential for some x. We can use the matplotlib library to make a plot.

The following code does this:

import numpy as npimport

matplotlib.pyplot as plt

#define the values of x

N = 100

x = np.linspace(-5, 5, N+1)

#compute the exponential using the Taylor series

y_taylor = [exp_taylor(xi, N) for xi in x]

#compute the exponential using numpy

y_np = np.exp(x)

#make the plot

plt.plot(x, y_taylor, label='Taylor')

plt.plot(x, y_np, label='Numpy')plt.xlabel('x')

plt.ylabel('y')plt.legend()plt.show()

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Answer:

Multiply -3 by 2.

Multiply x by 2.

Combine like terms.

Subtract 6 from both sides.

Use the quadratic formula to solve for x.

Step-by-step explanation:

Given:

-x (-3 + x )2 = 6

-x (-3 + x )2 = 6

-x (-6 + 2x) = 6

-6x + 2x^2 = 6

2x^2 - 6x - 6 = 6 - 6

2x^2 - 6x - 6 = 0

Multiply -3 by 2.

Multiply x by 2.

Combine like terms.

Subtract 6 from both sides.

Use the quadratic formula to solve for x.

To show that the given equations represent trigonometric identity statements, we will simplify each equation and demonstrate that both sides of the equation are equal.

Starting with sec²θ(1 - cos²θ):

Using the Pythagorean identity sin²θ + cos²θ = 1, we can rewrite sec²θ as 1 + tan²θ. Substituting this into the equation, we get:

(1 + tan²θ)(1 - cos²θ)

= 1 - cos²θ + tan²θ - cos²θtan²θ

= 1 - cos²θ(1 - tan²θ)

= sin²θ

Thus, the equation simplifies to sin²θ, which is a trigonometric identity.

For cosx(secx - cosx) = sin²x:

Using the reciprocal identities secx = 1/cosx and tanx = sinx/cosx, we can rewrite the equation as:

cosx(1/cosx - cosx)

= cosx/cosx - cos²x

= 1 - cos²x

= sin²x

Hence, the equation simplifies to sin²x, which is a trigonometric identity.

Considering cosθ + sinθtanθ = secθ:

Dividing both sides of the equation by cosθ, we obtain:

1 + sinθ/cosθ = 1/cosθ

Using the identity tanθ = sinθ/cosθ, the equation becomes:

1 + tanθ = secθ

This is a well-known trigonometric identity, where the left side is equal to the reciprocal of the right side.

Simplifying (1 - cos∝)(cosec∝ + cot∝):

Expanding the expression, we have:

cosec∝ - cos∝cosec∝ + cot∝ - cos∝cot∝

= cot∝ - cos∝cot∝ + cosec∝ - cos∝cosec∝

= cot∝(1 - cos∝) + cosec∝(1 - cos∝)

= cot∝tan∝ + cosec∝sec∝

= 1 + 1

= 2

Thus, the equation simplifies to 2, which is a constant value.

In summary, we have analytically shown that the given equations represent trigonometric identity statements by simplifying each equation and demonstrating that both sides are equal.

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Answer:

94.5 minutes or 1 hour and 34.5 minutes

Step-by-step explanation: If it takes you 7 minutes for 2 math problems then that means it takes you 3.5 minutes for one problem. Then you multiply it by 27 and you get 94.5 minutes you can convert it into 1 hour and 34.5 minutes if you want.

Answer:

Given that,

To find the distance between the points (2,2) and (-2,-1)

we know that,

Distance formula,

The distance between the two points (x1,y1) and (x2,y2) is,

Substitute the value we get,

the points (2,2) and (-2,-1)

Answer is: The distance between the point (2,2) and (-2,-1) is 5 units.

If the pet groomer trimmed the same amount of hair from each of the 9 dogs, then approximately 1.1 pounds of hair was cut from each dog.

To determine the amount of hair cut from one dog, we divide the total weight of hair trimmings (9.9 pounds) by the number of dogs (9). This assumes that each dog contributed an equal amount of hair trimmings.

Dividing 9.9 pounds by 9, we find that each dog contributed approximately 1.1 pounds of hair trimmings. Therefore, if we assume an equal distribution, we can estimate that 1.1 pounds of hair was cut from each dog.

It's important to note that this calculation assumes an even distribution of hair trimmings among all the dogs. In reality, each dog may have different hair lengths, thicknesses, and shedding rates, resulting in variations in the amount of hair trimmings. However, as a rough estimate, assuming an equal amount of hair trimmings from each dog gives us an approximation of 1.1 pounds per dog.

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Answer:

C

Step-by-step explanation:

Causation is when one thing causes another.

Correlation means one thing is related to another but doesn't cause it.

A - we know more rain means more rainfall which means more water in a river.

B - We know hotter temperature means things melt or evaporate faster.

C - This does not work. How does vision loss cause people to have hearing aids? There might be a correlation but it can't cause it.

D - We know fewer mistakes mean higher grades.

Which situation best demonstrates the phrase "correlation is not causation"?

O As rainfall increases, so does the water level in the river.

O The hotter the temperature, the faster ice will melt

O As the number of people with vision loss increases, the sale of hearing aids increases. ✓

O The fewer mistakes a student makes on a math test, the better their grade is on the math test.

Answer:

$1053

Step-by-step explanation:

If we have that £1 = $1.62, then we can multiply both sides by 650 in order to get £650 on the left side of the equality. We must multiply the right side also by 650, and so we get £650=$1.62 * 650.

To do this multiplication, we can break 1.62 down  simply into $1.00 +$0.6+$0.02

650*$1.00=$650, 650*$0.6=650*6/10=65*6=$390, and 650*$0.02=650*2/100=6.5*2=$13.

When we add these three products together, we get $650+$390+$13=$1053. And so, £650=$1053

Answer:

5a+9b

Step-by-step explanation:

-3a from 8a then add 5b to4b then you get 5a+9b

Answer:-12x

Step-by-step explanation:

just trust me on this

Answer:

True

Step-by-step explanation:

Answer:

\( \frac{x \sqrt{2x} }{6} \)

Give brainlist

Answer: B, 42,068

Step-by-step explanation:

Since there's 52 weeks in a year and you make 809 cars each week, you have to multiply 52 by 809.

52 x 809 = 42068.

The Detroit Ford factory makes 42068 cars each year.

Answer:

64

Step-by-step explanation:

4^3

This is 4 multiplied by itself 3 times

4*4*4

64

Part A: A dot plot would best represent the data shown because a dot plot shows each data point as a dot along a number line, making it easy to see the frequency of each individual score.

Part B: we follow the steps described below to plot a dot plot:

What is a dot pot?

A dot chart or dot plot is  described as a statistical chart consisting of data points plotted on a fairly simple scale, typically using filled in circles.

The stacked dots in the plotted graph reflect the frequency of each score, and the dots themselves represent the individual scores.

The figure reveals that 4 and 3 were the most frequent scores, respectively, and that a score of 12 was an exception.

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The image of square JKLM after a dilation with a scale factor of 1/5 centered at the origin is a smaller square with vertices J'(-0.4, 0.4), K'(0.4, 0.4), L'(-0.4, -0.4), and M'(0.4, -0.4).

A graph is a visual representation of data, relationships or functions, typically consisting of points, lines, and curves plotted on a coordinate system.

To graph the image of square JKLM after a dilation with a scale factor of 1/5 centered at the origin, we need to perform the following steps:

Plot the vertices of the square JKLM.

Draw lines connecting the vertices to form the square.

Find the coordinates of the image vertices after dilation with a scale factor of 1/5 centered at the origin.

Plot the image vertices and connect them to form the image square.

Here's a step-by-step guide to performing each of these steps:

Plot the vertices of square JKLM:

J(-2, 2)    K(2, 2)

    +------+

    |      |

    |      |

    +------+

L(-2, -2)   M(2, -2)

Draw lines connecting the vertices to form the square:

      J(-2, 2)    K(2, 2)

          +------+

          |      |

          |      |

          +------+

L(-2, -2)         M(2, -2)

Find the coordinates of the image vertices after dilation with a scale factor of 1/5 centered at the origin:

To find the coordinates of the image vertices, we need to multiply the coordinates of each vertex by the scale factor of 1/5:

\(J' = (-2 * 1/5, 2 * 1/5) = (-0.4, 0.4)\\K' = (2 * 1/5, 2 * 1/5) = (0.4, 0.4)\\L' = (-2 * 1/5, -2 * 1/5) = (-0.4, -0.4)\\M' = (2 * 1/5, -2 * 1/5) = (0.4, -0.4)\\\)

Plot the image vertices and connect them to form the image square:

        J'(-0.4, 0.4)    K'(0.4, 0.4)

            +------+

            |      |

            |      |

            +------+

L'(-0.4, -0.4)         M'(0.4, -0.4)

The image of square JKLM after a dilation with a scale factor of 1/5 centered at the origin is a smaller square with vertices J'(-0.4, 0.4), K'(0.4, 0.4), L'(-0.4, -0.4), and M'(0.4, -0.4).

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The image of square JKLM after a dilation with a scale factor of 1/5, centered at the origin, is a smaller square centered at the origin.

To graph the image of square JKLM after a dilation with a scale factor of 1/5, centered at the origin, we can follow these steps:

Draw the original square JKLM.

Draw a line segment from the origin to each vertex of the square.

Multiply the length of each line segment by 1/5.

Draw a new square centered at the origin, with side lengths equal to the lengths of the new line segments.

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Answer:

The description of the rotation is 180 degrees clockwise or counterclockwise rotation

Step-by-step explanation:

Here, we want to get the kind of rotation that maps the triangle into its new coordinates

we have this as;

(x,y) to (-x, -y)

that will be ;

a 180 degrees rotation or counter clockwise rotation

180 rotation so A

Step-by-step explanation: