The number 70 is decreased to 41. What is the percentage by which the number was decreased, to the nearest tenth of a percent?

False , Teenage and young adult drivers are killed due to distracted driving.

Drivers under the age of 21 have a higher likelihood of being distracted than those over that age. A 2019 survey of high school students in the United States found that 39% of those who had driven in the 30 days prior had texted or emailed at least once.

White students (44%) were more likely to text or email while driving than Black (30%) or Hispanic (35%). Older students were more likely to engage in this behaviour than younger students.

Students were just as likely to use email or text while driving.

When texting or sending emails while driving, students were more likely to report engaging in extra risky driving behaviours. They were more likely to occasionally fail to put their belts.

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Answer:

acute,straight, revolution

The expression that represents the difference between (7x - 9) and (8x - 5) in Simplest terms is -x - 4.

The difference between (7x - 9) and (8x - 5), we need to subtract the second expression from the first.

(7x - 9) - (8x - 5)

To simplify this expression, we distribute the negative sign to the terms inside the parentheses:

7x - 9 - 8x + 5

Next, we can combine like terms by adding or subtracting coefficients of similar variables:

(7x - 8x) + (-9 + 5)

Simplifying further:

-x + (-4)

Finally, we can combine the two negative terms:

-x - 4

Therefore, the expression that represents the difference between (7x - 9) and (8x - 5) in simplest terms is -x - 4.

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Answer:

Answer:

LCD = 8

Equivalent Fractions with the LCD

3/8 = 3/8

1/2 = 4/8

Solution:

Rewriting input as fractions if necessary:

3/8, 1/2

For the denominators (8, 2) the least common multiple (LCM) is 8.

Therefore, the least common denominator (LCD) is 8.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

3/8 = 3/8 × 1/1 = 3/8

1/2 = 1/2 × 4/4 = 4/8

The least common denominator (LCD) is; 8.

A fraction represents a part of a number or any number of equal parts.

WE need Equivalent Fractions with the LCD;

Now Rewriting input as fractions if necessary:

3/8, 1/2

For the denominators (8, 2) the least common multiple (LCM) would be; 8.

Therefore, the least common denominator (LCD) is; 8.

To Calculate the original inputs as equivalent fractions with the LCD:

3/8 = 3/8 × 1/1 = 3/8

1/2 = 1/2 × 4/4 = 4/8

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a.  If we let u = (3 - 2x), then the derivative du/dx would be -2, which is not equal to zero. This indicates that the substitution does not satisfy the requirement for u to be differentiable.

b. Michael's substitution satisfies the requirement for u to be differentiable.

(a) i. Kayla's proposed substitution of u as (3 - 2x) will not work in this case. The reason is that when using the u-substitution method, it is necessary for the chosen u to be differentiable, meaning that its derivative du/dx should exist and be non-zero. However, if we let u = (3 - 2x), then the derivative du/dx would be -2, which is not equal to zero. This indicates that the substitution does not satisfy the requirement for u to be differentiable.

ii. Kayla's idea of always picking the most inside factor as u does not work for all u-substitutions. There can be cases where choosing the most inside factor may not lead to a valid substitution that simplifies the problem or makes integration easier. It is important to consider the properties of the function and choose a suitable substitution accordingly.

(b) i. Michael's proposed substitution of u as 3√3 - 2x will work in this case. If we let u = 3√3 - 2x, then the derivative du/dx would be -2, which is non-zero. Therefore, Michael's substitution satisfies the requirement for u to be differentiable.

ii. Michael's idea of always picking the most complicated factor as u also does not hold true for all u-substitutions. The choice of u depends on various factors, including the structure of the function, simplification possibilities, and making the integration process more manageable. It is not necessarily the case that the most complex factor will always result in a successful substitution.

It is important to consider the specific characteristics of the function and apply appropriate judgment in choosing the substitution u to simplify the problem effectively.

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Answer: 11x + 12y

Step-by-step explanation:

Step 1: Just combine like terms

12x + 2y + - x + 10y

(12x + -x) + (2y + 10y)

= 11x + 12y

Answer:

you collect like terms

i.e 12x-x+2y+10y

13x+12y(sum)

The dimensions of the large soccer field are 361 x 295.28 feet.

To convert the dimensions of the large soccer field from meters to feet, we multiply each dimension by the conversion factor of 1 meter equals 3.281 feet.

Length conversion: The length of the soccer field is 110 meters. Multiply this by the conversion factor: 110 meters * 3.281 feet/meter = 361 feet.

Width conversion: The width of the soccer field is 90 meters. Multiply this by the conversion factor: 90 meters * 3.281 feet/meter = 295.28 feet.

Therefore, the large soccer field measures 361 feet long and 295.28 feet wide when converted to the imperial unit of feet.

By applying the conversion factor, we accurately express the field's dimensions in the desired measurement system.

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Hello there, and welcome to Brainly!

In this case, x is to be made the subject of the equation, setting x by itself.

Note the equal sign, what you do to one side, you do to the other.

Do the opposite of PEMDAS. PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, subtract n from both sides of the equation:

m (-n) = n (-n) + (x/p)

m - n = x/p

Next, fully isolate the x by multiplying p to all terms on both sides of the equation:

(p) * (m - n) = (x/p) * (p)

p * (m - n) = x

Next, simplify. Distribute p to all terms within the parenthesis:

p(m - n) = x

pm - pn = x

x = pm - pn is your answer.

~

The required z-score is -0.5 and the probability that the firm WILL have a negative EPS is 30.85%.

Firm has a loss level EBIT of $175m and an expected EBIT of $200m with a standard deviation of $50m.

Z-score = (EBIT - Expected EBIT) / Standard deviation= (175 - 200) / 50= -0.5

Probability of having a negative EPS:

To find the probability that the firm will have a negative EPS, we need to find the area to the left of Z-score. As the Z-score is negative, we will be finding the left-tail probability using the standard normal table from the link below:

The area to the left of Z-score (0.5) is 0.3085 or 30.85%.

Therefore, the probability that the firm WILL have a negative EPS is 30.85%.

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In interpreting effect size, the meaning of effect size at 0.3 is small effect size. So, the correct answer is A).

In interpreting effect size, an effect size of 0.3 is typically considered to be a small effect size. This means that there is a small but still measurable difference or relationship between two variables.

The interpretation of effect size can vary depending on the context and the discipline in which it is being used, but as a general rule, effect sizes of 0.2 or smaller are considered small, effect sizes of 0.5 are considered medium, and effect sizes of 0.8 or larger are considered large. Therefore, an effect size of 0.3 falls in the small effect size range. So, the correct option is A).

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Answer:

Parker the dog is 76.2 centimeters long.

Step-by-step explanation:

Parker the dog is 2 feet 6 inches long. There are 2.54 centimeters in 1 inch. How many centimeters is Parker the dog?​ 2 feet = 12 inches. 2(12) + 6 = 30

30(2.54) = 76.2.

Please let me know if you have anymore questions.

Good Luck! :)

1 foot = 12 inches

1 inch = 2.54 centimeters

1 foot = 30.48 centimeters

2 x 30.48 =  60.96

6 x 2.54 = 15.24

60.96+15.24=76.20

Parker the Dog is 76.20 centimeters tall.

Answer:

∠ C ≈ 73.7°

Step-by-step explanation:

using the sine ratio in the right triangle

sin C = \(\frac{opposite}{hypotenuse}\) = \(\frac{AT}{CT}\) = \(\frac{48}{50}\) , then

∠ C = \(sin^{-1}\) ( \(\frac{48}{50}\) ) ≈ 73.7° ( to the nearest tenth )

Answer:

x = -1

Step-by-step explanation:

1. Remove parentheses

-2 * 3x + x = 5

2. Multiply

-6x + x= 5

3. Add like terms

-5x = 5

4. Divide both sides by -5

-x = -1

Answer:

78

Step-by-step explanation:

Using Pythagorean Theorem, the length of the line segment from (-3, 10) to (4, -1) is 13 units.

Pythagorean theorem describes the relationship between the sides of a right triangle. It states that the square of the hypotenuse is equal to the sum of the squares of the two other side.

c² = a² + b²

Let a = vertical distance between the two points

b = horizontal distance between the two points

c = distance between the two points / length of line segment

Hence, c² = (|y₂ - y₁|)² + (|x₂ - x₁|)².

Substitute the values of x and y and solve for c.

c² = (|y₂ - y₁|)² + (|x₂ - x₁|)²

c² = (|-1 - 10|)² + (|4 - -3|)²

c² = (|-11|)² + (|7|)²

c² = 11² + 7²

c² = 121 + 49

c² = 170

c = 13.04

length of line segment ≅ 13 units

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To estimate the number of subscribers as a single digit times an integer power of 10, we can round the given number to the nearest power of 10.

The given number of subscribers is 77,000.

Rounding 77,000 to the nearest power of 10 (which is 10^4 or 10,000), we get:

77,000 ≈ 8 × 10,000

So, an estimate for the number of subscribers as a single digit times an integer power of 10 would be 80,000.

The system of linear inequalities consists of three constraints: 3 ≤ x ≤ 6, y ≥ 3, and x - y ≥ -6. To graph the system, we need to plot the lines corresponding to each inequality and shade the region that satisfies all three constraints.

To graph the system of linear inequalities, we start by plotting the lines corresponding to each constraint. The first constraint, 3 ≤ x ≤ 6, represents a horizontal line passing through the points (3, 0) and (6, 0). We shade the region between these two points to indicate that x can take any value within this range.

The second constraint, y ≥ 3, represents a vertical line passing through the points (0, 3) and (0, ∞). We shade the region above this line to show that y must be greater than or equal to 3.

The third constraint, x - y ≥ -6, represents a diagonal line with a slope of 1 passing through the points (0, -6) and (∞, ∞). We shade the region above this line to indicate that x - y must be greater than or equal to -6.

The region where all three shaded regions overlap represents the feasible region that satisfies all the constraints. We graph this region only once to avoid overlap and ambiguity.

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9514 1404 393

Answer:

  A.  {1, 7, 11}

Step-by-step explanation:

The constant in the equation is 1, so that is the value when x=0. No answer choice can be correct unless it includes the value 1. The only viable choice is A.

_____

If you want to go to the trouble to evaluate the expression for the different values of x, you can. It often works well to rewrite the expression to "Horner form":

  (2x -1)x +1

For x = -2, this is (2(-2) -1)(-2) +1 = (-5)(-2) +1 = 11

For x = 0, this is 1

For x = 2, this is (2(2) -1)(2) +1 = (3)(2) +1 = 7

So, the range for the given domain is {1, 7, 11} . . . . . matches choice A

Answer: D. Y-2 = -7/4(X+9)

Answer:

(x1,y1) = (2x - x2, 2y - y2)

Step-by-step explanation:

Given:

Midpoint = (x , y)

End point = (x2, y2)

Find:

(x1, y1)

Computation:

Mid-point formula

x = (x1 + x2) / 2 , y = (y1 + y2) / 2

So,

2x = x1 + x2 , 2y = y1 + y2

x1 = 2x - x2 , y1 = 2y - y2

So,

(x1,y1) = (2x - x2, 2y - y2)

Answer:

Pues hablemos primero de lo que sucede antes de apagar la luz y usemos como ejemplo el viaje de un solo fotón.

Un fotón proveniente de un bombillo de luz blanca se dispara en línea recta hacia la pared. El material que cubre la pared, en este caso la pintura, tiene ciertas propiedades físicas y la energía del fotón es absorbida por un electrón de algún átomo de esa superficie. Ocurre una excitación del electrón, el cual ahora tiene más energía de la que normalmente tiene en su estado fundamental, y para regresar a su estado fundamental emite parte de esa energía como un nuevo fotón, este último de menor energía (frecuencia) que el anterior. La frecuencia dependerá del material y esa nueva frecuencia es la que da color a la pared. La luz blanca está compuesta por fotones de distintas frecuencias. Los de baja frecuencia son absorbidos y lo que se emite es en forma de calor, lo cual no puedes ver con tus ojos. Los de alta frecuencia tienen suficiente energía para que la energía que se re-emite sea visible y posiblemente sea re-emitida, cada vez con menos energía. Uno habla de que la luz “rebota” en el objeto. (Aunque “rebotar” no es necesariamente la acción correcta, voy a usar el término para simplificar).

Ahora digamos que ese fotón que “rebotó” en la pared rebota en otra pared y otra pared. Ese fotón es solo visible si en ese rebotar llega a tu ojo antes de que su energía sea demasiado baja. No podemos ver el calor ni las microondas que son fotones de baja energía. Al final la energía se va a convertir en calor, el cual es invisible al ojo humano.

Ese es el trayecto de un solo fotón. El bombillo produce un flujo de fotones en todas direcciones. Hay que recordar que esos fotones viajan a la velocidad de la luz. Cuando el bombillo se apaga, se interrumpe el flujo de fotones. Si se movieran a la velocidad del agua en una manguera, verías el flujo rebotando por varios segundos hasta que los fotones que más han rebotado desaparecen de tu vista por aquello de la baja frecuencia energética. Pero al viajar a la velocidad de la luz, el tamaño de la habitación se hace irrelevante y nuestra experiencia es prácticamente instantánea.

¿A donde va la luz? La luz no sale de la habitación sino que la calienta.

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Step-by-step explanation:

Answer: C

Step-by-step explanation:

Answer:

It is going to be C

Step-by-step explanation:

Because after you complete the problem it will equal the nu,ber selcted on c

The equations that are true of the values x, y, and z are :

The line that x degrees and 65 degrees is on, is a straight line which means that they will both add up to 180 degrees :

x degrees + 65 degrees = 180 degrees

x and z are congruent angles which means they are both the same angle measure.

y would be equal to 65 degrees because, just like x and z, y and 65 degrees are congruent.

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Options include:

The values of the trigonometric functions of theta are

a. theta = 53.13 degrees

b. theta = 33.56 degrees

c. theta  = 20.56 degrees

d. theta  = 30 degrees

The angles are worked using inverse trigonometry of the given values

a. sin theta = 4/5

theta = arc sin (4/5)

theta = 53.13

b. cos theta = 5/6

theta = arc cos (5/6)

theta = 33.56 degrees

c. sec theta = (1/cos) = (√73/8)

theta = arc cos (√73/8)⁻¹

theta  = 20.56 degrees

c. cot theta = (1/tan) theta  = √3

theta = arc tan (√3)⁻¹

theta  = 30 degrees

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Answer:

32+n

Step-by-step explanation:

32 more than the number n would be 32+n.

Hope this helps!

The scale factor was used for each dilation are-

A transformation that changes the size of a figure is called a dilatation. This indicates that the preimage as well as image are similar and have been scaled up or down, respectively.

A dilatation that results in a reduction (imagine shrinking) or an enlargement (think stretching) produces a smaller or larger image, respectively.

Part a: For ΔABC

Length AB = 2 units

Length A'B' = 4 units

A'B' = 2 *AB

Thus,  For ΔABC - scale factor = 2

Part b: For ΔDEF -

Length DF = 2 units

Length D'F' = 1  units

D'F' = 1/2 DF

Thus, For ΔDEF - scale factor = 1/2

Part c: For ΔGHJ -

Length GH = 3 units

Length G'H' = 1  units

G'H' = 1/3 GH

Thus,  For ΔGHJ - scale factor = 1/3

Part d: For ΔKML -

Length KM = 2 units

Length K'M' = 6  units

K'M' = 3*KM

Thus, For ΔKML - scale factor = 3

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__________

\( \: \)

\( \sqrt{1,69} = ...\)

\( = {1,69}^{ \frac{1}{2} } \)

\( = \bold{1,3}\)

Soo, asnwer for Question \(\sqrt{1,69} = 1,3\)