A plant is 7 cm tall on June 1. On September 1, the plant is 46.9 cm tall. What is the scale factor of the growth of the plant if all parts grew proportionally? O Not enough information. O 0.149 6.7 06

Answer:

d)

Step-by-step explanation:

Equation of circle with center at point (h, k) and radius, r.

\( (x - h)^2 + (y - k)^2 = r^2 \)

This problem:

(x − A)^2 + (y − B)^2 = C

The center is (A, B).

The radius is sqrt(C).

Answer: d)

The largest power of 10 that is a factor of 1000! is 5^249, or 10^249.

(a) To find the largest power of 10 that is a factor of 50!, we need to count the number of factors of 5 in 50! since each factor of 5 contributes at least one factor of 10.

There are 10 multiples of 5 in 50!, namely 5, 10, 15, 20, 25, 30, 35, 40, 45, and 50. Each of these contributes one factor of 5. There are also 2 multiples of 25 (25 and 50), each of which contributes an additional factor of 5. Therefore, the total number of factors of 5 in 50! is 10 + 2 = 12.

Since each factor of 10 contains one factor of 5 and one factor of 2, we also need to count the number of factors of 2. It is clear that there are more factors of 2 than factors of 5, so we only need to count the factors of 5. Therefore, the largest power of 10 that is a factor of 50! is 5^12, or 10^12.

(b) To find the largest power of 10 that is a factor of 1000!, we follow the same reasoning as in part (a). The number of factors of 5 in 1000! is:

⌊1000/5⌋ + ⌊1000/25⌋ + ⌊1000/125⌋ + ⌊1000/625⌋ = 200 + 40 + 8 + 1 = 249

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The question that is a statistical question is "How many miles did your family drive last week?"

A statistical question is a question that requires collecting and analyzing data to answer.

It involves investigating a specific variable or variables and determining patterns, trends, or relationships within the data.

The question "How many miles did your family drive last week?" is statistical, as it involves collecting and analyzing data related to a specific variable (miles driven) over a certain period of time (last week).

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Answer: x<4

Step-by-step explanation:

If we break this down as

-2+4x<14 and we add 2 to both sides

4x+<16 and divide by 4

and you get x<4

The value of length of side AB is,

⇒ AB = 5 units

We have to given that;

The figure is shown a trapezoid.

Hence, By using Pythagoras theorem we get;

⇒ AB² = 4² + (5.25 - 2.25)²

⇒ AB² = 16 + 3²

⇒ AB² = 16 + 9

⇒ AB² = 25

⇒ AB = √25

⇒ AB = 5 units

Therefore, The value of length of AB is,

⇒ AB = 5 units

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Answer:

id say a geometric sequence

Step-by-step explanation:

you multiply 3 to get the next number of pies

The company can expect to earn $5 per product sold if they offer a warranty, compared to an expected loss of $13 per product sold if they do not offer a warranty. It is a profitable decision for the company to offer the warranty.

In a binomial probability distribution, the number of "Successes" in a series of n experiments is represented as either success/yes/true/one (probability p) or failure/no/false/zero (probability q = 1 p), depending on the outcome's boolean value.

Assuming that the failure of the flagship product follows a binomial distribution with a probability of 1% of failure within 2 years of purchase, let's calculate the expected cost to the company without a warranty and with the warranty.

Without the warranty, the expected cost to the company is given by:

Expected cost without warranty = 0.01 x $1300 = $13

With the warranty, the expected cost to the company is given by:

Expected cost with warranty = $5 - (0.99 x $0) = $5

Therefore, the company can expect to earn $5 per product sold if they offer a warranty, compared to an expected loss of $13 per product sold if they do not offer a warranty. It is a profitable decision for the company to offer the warranty.

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Answer:

using diameter, The Area of the circle is 28.27

Step-by-step explanation:

A = 1/4(3.14)(d^2)

A = 28.27

Figures that are similar to Figure A are: Figure #3 and Figure #2.

According to the mathematical definition, two figures are similar if they have the same shape, their corresponding angles are congruent, and the ratios of the lengths of their corresponding sides are equal.

The figures that are similar to figure A are:

Figure #3

Figure #2

According to the definition of similar figures, it can be inferred that figures # 3 and # 2 are similar to figure A because the angles are equivalent and the ratio of the lengths are equal. In the case of figure #2 it has the same lengths but its direction is to the left. On the other hand, figure #3 has equivalent angles, however, the lengths correspond to twice that of figure A.

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Answer:

Since acceleration is the derivative of velocity, velocity is the antiderivative of acceleration. If you know the acceleration for all time, and if you know the starting velocity, you can figure out the velocity for all time.

Step-by-step explanation:

Answer:

Since acceleration is the derivative of velocity, velocity is the antiderivative of acceleration. If you know the acceleration for all time, and if you know the starting velocity, you can figure out the velocity for all time.

Answer:

Step-by-step explanation:

Equation of the line in point-slope form:

Convert the equation into slope-intercept form of y = mx + b:

Correct choice is D

Answer:

\(\textsf{D.} \quad y=\dfrac{2}{3}x+\dfrac{10}{3}\)

Step-by-step explanation:

Given equation:

\(y-4=\dfrac{2}{3}(x-1)\)

Distribute the parentheses on the right side of the equation:

\(\implies y-4=\dfrac{2}{3}x-\dfrac{2}{3}\)

Add 4 to both sides:

\(\implies y-4+4=\dfrac{2}{3}x-\dfrac{2}{3}+4\)

\(\implies y=\dfrac{2}{3}x-\dfrac{2}{3}+4\)

Rewrite 4 as 12/3:

\(\implies y=\dfrac{2}{3}x-\dfrac{2}{3}+\dfrac{12}{3}\)

\(\implies y=\dfrac{2}{3}x+\dfrac{12}{3}-\dfrac{2}{3}\)

\(\textsf{Apply the fraction rule} \quad \dfrac{a}{c}-\dfrac{b}{c}=\dfrac{a-b}{c}:\)

\(\implies y=\dfrac{2}{3}x+\dfrac{12-2}{3}\)

\(\implies y=\dfrac{2}{3}x+\dfrac{10}{3}\)

Therefore, the equation that is equivalent to the given equation is:

\(\boxed{y=\dfrac{2}{3}x+\dfrac{10}{3}}\)

Based on the above table , the fastest growing listed occupation for those without a college degree is Gaming and sports book writers and runners.

Therefore option A is correct.

The college degree is described as a qualification awarded to students after completing the requirements for a specific course of study of which the two most common types of degrees are the Bachelor of Arts and Bachelor of Science.

With reference to the table, the occupations that do not require a college degree are:

We were able to conclude that Based on the above table , the fastest growing listed occupation for those without a college degree is Gaming and sports book writers and runners with a rate of 24.6%.

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Step-by-step explanation:

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the most conservative sample size for the estimation of the population proportion is 4471, rounded up to the nearest whole number.

Using the formula n = (Zα/2)^2(p*(1-p))/E^2, where:

n = sample size

Zα/2 = z-score for 0.025 (α/2) = 1.96

p = 0.5 (assumed to be the estimated proportion of the population)

E = 0.029 (specified absolute tolerance)

n = (1.96^2)*(0.5(1-0.5))/0.029^2 = 4471

Therefore, the most conservative sample size for the estimation of the population proportion is 4471, rounded up to the nearest whole number.

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Answer: 40 years old.

Step-by-step explanation:

Let man's age = a

Let son's age = b

Since a man is 4 times as old as his son, therefore

a= 4b

In 5 years, he will only be 3 times as old as his son, therefore

a+5=3(b+5)

Apply substitution method :

4b+5=3b+15

b=10

a=40

From the statement, we know that the height h (in feet) of an object is given by the following function of time t (in seconds):

a. The velocity of the object is obtained by taking the first derivative:

Evaluating the function for t = 4 seconds, we get:

b. The first instant after t = 0 when the velocity is 0 is obtained by solving for t the equation:

c. The next instant in time when the velocity is 0 is obtained by solving for t the following equation:

d. The acceleration of the object is obtained by taking the first derivative of the velocity:

When the height is h = 4, we have:

The acceleration when the height is h(t) = 1.0 is:

• a. 3.451 ft/s

• b. 0.516 s

• c. 2.933 s

• d. -1.690 ft/s²

Answer:

\(a = 2\sqrt{2}\) and \(b = 5\sqrt{2}\).

Step-by-step explanation:

The resulting vector is the product of the input and rotation vectors. That is:

\(\vec R = \left[\begin{array}{ccc}\cos \theta&\ -\sin \theta\\ \sin \theta&\cos \theta\end{array}\right] \left[\begin{array}{ccc}3\\-7\end{array}\right]\)

\(\vec R = \left[\begin{array}{ccc}3\cdot \cos \theta + 7 \cdot \sin \theta\\ 3\cdot \sin \theta - 7 \cdot \cos \theta\end{array}\right]\)

Now, the resulting vector is determined by evaluating in given angle:

\(\theta = \frac{3\pi}{4}\)

\(\vec R = \left[\begin{array}{ccc} 2\sqrt{2}\\ 5\sqrt{2}\end{array}\right]\)

The resulting vector is \((2\sqrt{2} , 5\sqrt{2})\). Then, \(a = 2\sqrt{2}\) and \(b = 5\sqrt{2}\).

Answer:

51+x-5+y-6=180

x+y=180-51+5+6

X+y=140

Answer x=77 y=63

(those 2 lines with the arrows are perpendicular so their angles are the same 72° and (x-5)=77-5= 72°)

The values of x and y are 77 and 63 respectively.

Angle is defined as the figure formed by two lines or rays which has a common point of intersection where the angle is formed.

Sum of the interior angles of a triangle is supplementary.

That is three angles (y - 6)°, 72° and an unknown angle is supplementary.

We have two parallel lines given and a transversal line intersects the parallel lines.

So the unknown angle of the triangle and the angle 51° are alternate interior angles and are thus equal.

So the third angle of the triangle = 51°

(y - 6) + 72 + 51 = 180

y - 6 + 123 = 180

y + 117 = 180

y = 63

The angles (x - 5)°, 51° and (y - 6)° are supplementary.

(x - 5) + 51 + (y - 6) = 180

x - 5 + 51 + 63 - 6 = 180

x + 103 = 180

x = 77

Hence the value of x is 77 and the value of y is 63.

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Answer:  j(x) = (x-1)(x+2)

The x-1 part is because of the root x = 1

The root x = -2 leads to the factor x+2

Answer:

81

Step-by-step explanation:

w/9=9

w=9*9

w=81

Answer:

w = 81

Step-by-step explanation:

To get w, you have to do inverse operations. Because w is being divided, we need to multiply to isolate w because multiplication is the opposite of division.

w/9 = 9

(9) (w/9) = (9) (9)

w = 81

Answer:

Step-by-step explanation:

Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.

(y1 - y2) / (x1 - x2) = slope

(-1 - 3) / (4 - 2)

-4 / 2

-2

Hope this helps! :)

The perimeter of the given window is 48 centimeter.

From the given figure,

Perimeter of window = 2(Length+Breadth)

= 2(10+14)

= 2×24

= 48 centimeter

Perimeter of house = 2(Length+Breadth)

= 2(37+35)

= 2×72

= 144 centimeter

Perimeter of roof = 2(Length+Breadth)

= 2(37+5)

= 2×42

= 84 centimeter

Therefore, the perimeter of the given window is 48 centimeter.

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Using proportions, we can say that 42 models of 100 are needed to model 4200.

Ratio and fractions are the main bases on which proportion is explained. A fraction is written as a/b, while a ratio is represented as a:b, and a proportion states that two ratios are equal. In this case, a and b can be any two integers. The ratio and proportion are important building blocks for understanding the numerous ideas in science and mathematics.

In the question, we are asked for the number of models of 100 we need to model 4200.

The given problem can be shown as a proportion with the ratio of the number of models of 100, to the model.

We know that 1 model of 100 makes a model 100.

We assume that n models of 100 makes a model 4200.

By proportion, we can show that:

n/4200 = 1/100,

or, n = 4200/100,

or, n = 42.

Thus, using proportions, we can say that 42 models of 100 are needed to model 4200.

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Answer: De and Ef

Step-by-step explanation:

Deondra read at rate 40 pages per hour.

What is the meaning of the rate?

The rate at which something occurs or changes, as well as the quantity or frequency with which it does so over a period of time.

What is the unitary method?

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

Given that, Deondra read 18 pages in 2/5 of an hour.

Use unitary method to calculate the required value:

In 2/5 hour, she read 18 pages.

In 1 hour, she read 18/(2/5) pages.

In 1 hour, she read 18 × (5/2) pages = 40 pages.

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Answer: uhh I think 60?

Step-by-step explanation:

the answer is 6p because after any value place is zero hoped I helped

Answer:

y=-2x-4

Step-by-step explanation:

Given that,

Slope, m = -2

It passes through the point (1,-6).

We need to find the equation of line that passes throgh the given point. It can be calculated as:

\(y-y_1=m(x-x_1)\)

Put y₁ = -6, x₁ = 1 and m = -2

\(y-(-6)=(-2)(x-1)\\\\y+6=-2x+2\\\\y+2x+6-2=0\\\\y=-2x-4\)

Hence, the equation of line is y=-2x-4.