Deondra is 1.35 meters tall. At 10 a.m., she measures the length of a tree's shadow to
be 35.25 meters. She stands 31.2 meters away from the tree, so that the tip of her
shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest
hundredth of a meter.

17.883

Two decimal places would be

= 17.88

Answer:

to two decimal paxes would be 17.88

Answer: a) 4 b) you could make up to 8 liters

Step-by-step explanation:

Answer:

See Below! :)

Step-by-step explanation:

The answer to a is just 1.5 x 8

The answer to b is no

Hope this Helps! :D

Answer:

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

There are 396 different ways to pair up a team from league a with a team from league b and 153 different ways to pair up two teams from league a.

(a) To pair up a team from league a with a team from league b, we can use the fundamental counting principle which states that if we have m ways to do one thing and n ways to do another, then there are m x n ways to do both. Therefore, the number of ways to pair up a team from league a with a team from league b is:

18 x 22 = 396

(b) To pair up two teams from league a, we can use the combination formula which states that the number of ways to choose r items from a set of n items is nCr = n! / (r! (n-r)!). Since we want to choose 2 teams from a set of 18 teams in league a, we can use the formula:

18C2 = 18! / (2! (18-2)!) = 153

Therefore, there are 153 different ways topair up two teams from league a.

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Given, A + B = 90°

Putting values, we get

7x + 4 + 4x + 9 = 90°

11x + 13 = 90°

11x = 90 - 13 = 77°

x = 7°

Now, m<A = 7x + 4

= 7(7) + 4 = 53°

Hope this helps :)

Answer:

m∠A = 53°

Explanation:

complement angle: : two angles that add up to 90 degrees.

solve:

7x + 4 + 4x + 9 = 90

7x + 4x = 90 - 9 - 4

11x = 77

x = 7

Find m∠A:

7x + 4

7(7) + 4

49 + 4

53°

Answer:

D. 7.89 meters

Step-by-step explanation:

Given,

d = 0.3t

Here,

t = 26.3

Therefore,

d = 0.3*26.3

= 7.89m

Answer:

I can't see the picture

Step-by-step explanation:

The coordinate of point p such that it is dividing line ab into 1:3 is (1,4).

A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).

Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.

Coordinate a point with intercept m: n and bounded by coordinate (x₁, y₁) and (x₂, y₂).

x = [m(x₂) + n(x₁)]/(m + n)

And,

y = [m(y₂) + n(y₁)]/(m + n)

So,

x = [1(7) + 3(-1)]/(1+3) ⇒ x = 1

y = [1(10) + 3(2)]/(1+3) ⇒ y = 4

Hence "The coordinate of point p such that it is dividing line ab into 1:3 is (1,4)".

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Answer:

8.54

Step-by-step explanation:

Answer:

c = 8.5

Step-by-step explanation:

a² + b² = c²

8² + 3² = c²

64 + 9 = c²

c² = 73

\(\sqrt{c^2} =\sqrt{73}\)

c = 8.5

The difficulty of range as a measure of variability that is overcome by interquartile range is option b that is The range is influenced too much by extreme values.

The variance is the mean squared difference between each data point and the mean-centered distribution. A statistical assessment of the dispersion of values in a data collection is referred to as variance. Variance explicitly assesses how distant each number in the set is from the mean (average), and consequently from every other number in the set. Variance is a measure of how data points differ from the mean, whereas standard deviation is a measure of statistical data distribution. The primary distinction between the two is that standard deviation is expressed in the same units as the mean of the data, whereas variance is expressed in squared units.

Here,

The interquartile range overcomes the problem of range as a measure of variability. Extreme values have an undue impact on the range.

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The value of x for which (f - g)(x) = 0 is x = 12.

To find the value of x for which (f - g)(x) = 0, we need to subtract g(x) from f(x) and set the resulting expression equal to zero. Let's perform the subtraction:

(f - g)(x) = f(x) - g(x)

= (16x - 30) - (14x - 6)

= 16x - 30 - 14x + 6

= 2x - 24

Now, we can set the expression equal to zero and solve for x:

2x - 24 = 0

Adding 24 to both sides:

2x = 24

Dividing both sides by 2:

x = 12

Therefore, the value of x for which (f - g)(x) = 0 is x = 12.

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Answer:

Step-by-step explanation:

Amount of 12% simple interest for 5 years on sum of $82845 is:

$82,845 × 12% × 5

= $82,845 × 0.6

= $49,707

Answer/Step-by-step explanation:

C = 82

Pythagorean Theorem: a^2 + b^2 = c^2

\(80^{2} = 6400\\18^{2} = 324\\6400 + 324 = 6724\\\sqrt{6724} = 82\)

Hi, I believe the answer you are looking for is:

S' (-1, -5)

T' (-2, 0)

V' (0, 0)

Have a great day :D

A significance level of 0.10, we have enough evidence to conclude that the new copy machines have a significantly faster mean repair time compared to the older model.

To test if the new copy machines are faster to repair, we can set up the following null and alternative hypotheses:

Null Hypothesis (H₀): The mean repair time for the new copy machines is the same as the mean repair time for the older model.

Alternative Hypothesis (H₁): The mean repair time for the new copy machines is less than the mean repair time for the older model.

Let's perform a one-sample t-test to test these hypotheses. The test statistic is calculated as:

t = (sample mean - population mean) / (sample standard deviation / √(sample size))

Given:

Population mean (μ) = 93 minutes

Sample mean (\(\bar x\)) = 86.8 minutes

Sample standard deviation (s) = 14.6 minutes

Sample size (n) = 18

Significance level (α) = 0.10

Calculating the test statistic:

t = (86.8 - 93) / (14.6 / sqrt(18))

t = -6.2 / (14.6 / 4.24264)

t ≈ -2.677

The degrees of freedom for this test is n - 1 = 18 - 1 = 17.

Now, we need to determine the critical value for the t-distribution with 17 degrees of freedom and a one-tailed test at a significance level of 0.10. Consulting a t-table or using statistical software, the critical value is approximately -1.333.

Since the test statistic (t = -2.677) is less than the critical value (-1.333), we reject the null hypothesis.

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The roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x=-7 and x=1.

Any equation in algebra that can be written in the standard form where x stands for an unknown value and a, b, and c stand for known values is said to be a quadratic equation.

In general, it is assumed that a > 0; equations with a = 0 are regarded as degenerate since they become linear or even simpler.

So, the roots of 0 = 2x² + 12x-14 are:

2x² + 12x-14  = 0

2x² + 14x - 2x -14

2x(x + 7) - 2(x + 7)

(2x - 2) (x + 7)

Now, use the zero product property as follows:

2x - 2 = 0

2x = 2

x = 2/2

x = 1

And

x + 7 = 0

x = -7

Therefore, the roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x = -7 and x = 1.

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Correct question:

What are the roots of the quadratic equation 0 = 2x² + 12x-14?

a. 1,6, -7

b. 2,12,-14

c. -7,1

d. -1,7

Answer:

l = 40 m

Step-by-step explanation:

The formula for area of a rectangle is

A = lw, where

Step 1:  Since we're given the area and width, we plug in these two values for A and w and to solve for l (length):

360 = 9l

Step 2:  Divide both sides by 9 to solve for l

(360 = 9l) / 9

40 m = l

Optional Step 3:  We can check our answers by checking that the product of 40 and 9 is 360

40 * 9 = 360

360 = 360

The missing angle represented by 6 is 107 degrees

Supplementary angles are a pair of angles that add up to 180 degrees. In other words, if you have two angles that, when combined, create a straight line, then they are supplementary angles.

Angles on a straight line are supplementary and hence the potion that has 6 is equal to say x

x + 73 = 180

x = 180 - 73

x = 107 degrees

Supplementary angles can be found in many geometric shapes, such as triangles, quadrilaterals, and polygons.

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Janet's choice to use Door Dash instead of Uber Eats can be explained using two concepts from Predictably irrational: the power of free offers and the influence of perceived value.

In Predictably Irrational, one example discussed is the "Zero Price Effect." People tend to be more attracted to offers that are free, even if the overall value may be similar or slightly inferior. Janet's decision to choose Door Dash can be attributed to the free delivery promo, which creates a perception of added value and savings, even if the food prices themselves are comparable.

Another concept is "The Decoy Effect." When presented with multiple options, a decoy is strategically introduced to influence decision-making. In this case, Door Dash's free delivery offer acts as a decoy, making the alternative (Uber Eats) seem less appealing in comparison.

Janet's choice is influenced by the allure of a free offer, creating a positive perception of Door Dash's value. The power of free and the decoy effect play a role in swaying her decision.

Janet's choice of Door Dash over Uber Eats exemplifies the impact of free offers and perceived value on decision-making. The free delivery promo provided by Door Dash creates a sense of added value and savings, making it a more appealing option. The presence of a decoy effect diminishes the attractiveness of Uber Eats.

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Answer:

=

Step-by-step explanation:

First let's look at the ones place.

5 ? 3 + 1

5 ? 4

Now, let's look at the fractions.

4/5 is 8/10

1/2 is 5/10

8 + 5 = 13/10

3/10 ? 13/10

13/10 can become 1 and 3/10

Add it together, and we get:

5 3/10 ? 5 3/10

so "=" makes it true

Hope this helps, have a nice day :D

The integral ∫∫s xyz ds, over the given surface s, is equal to √2 ∫∫r ρ^3cosθsinθ(4-y) dρdθ, where r is the region in the xy-plane bounded by the cylinder x^2+y^2=4.

To evaluate the given integral ∫∫s xyz ds, where s is the part of the plane z=4−y that lies in the cylinder x^2+y^2=4, we can use the method of our choice. Let's use the method of cylindrical coordinates.

1. Set up the surface integral for the given function over the given surface s as a double integral over a region r in the xy-plane.
  ∫∫s xyz ds = ∫∫r xyz √(1 + (∂z/∂x)^2 + (∂z/∂y)^2) dA

2. To find the region r, we need to determine the bounds for the cylindrical coordinates. Since the cylinder has radius 2, we have 0 ≤ ρ ≤ 2. The z-coordinate ranges from the plane z = 4-y to the plane z = 0. Thus, the bounds for z are 0 ≤ z ≤ 4-y.

3. Convert the integral into cylindrical coordinates by substituting x = ρcosθ and y = ρsinθ.
  ∫∫r xyz √(1 + (∂z/∂x)^2 + (∂z/∂y)^2) dA
  = ∫∫r ρ^3cosθsinθ(4-y) √(1 + (-sinθ)^2 + (-cosθ)^2) dρdθ

4. Evaluate the double integral by integrating with respect to ρ first and then θ.
  ∫∫r ρ^3cosθsinθ(4-y) √2 dρdθ
  = √2 ∫∫r ρ^3cosθsinθ(4-y) dρdθ

Therefore, the integral ∫∫s xyz ds, over the given surface s, is equal to √2 ∫∫r ρ^3cosθsinθ(4-y) dρdθ, where r is the region in the xy-plane bounded by the cylinder x^2+y^2=4.

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Answer:

The mode is the number that shows up the most in the set.

Step-by-step explanation:

1 4 6 3 7 1 1 4 9 1

mode is 1

The mode represents the most frequent number that is, the number that occurs the highest number of times in a set of numbers.

Given that,

Define the term 'Mode'.

Since, The mode, in a set of numbers, represents the value that appears most frequently.

It is a measure of central tendency, providing insights into the most common or popular value within the data set.

For example, let's consider the set of numbers: 3, 5, 5, 1, 2, 4, 5, 3, 5, 6.

In this set, the mode is 5 because it appears more frequently than any other number.

So, The mode, in a set of numbers, represents the value that appears most frequently.

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The value of c is -1, and the coordinates (n) at which the graphs of f and g touch each other are (1, 0). The position (E, n) refers to the point of tangency between the two graphs. The graph of g passes near the point of tangency above the graph of f.

To determine the value of c and the coordinates (n) at which the graphs of f and g touch each other, we need to find the point of tangency between the two curves. Given that f(x, y) = x+y and g(x, y) = x² + y² + c, we can set them equal to each other to find the common point of tangency:

x+y = x² + y² + c

Since the point of tangency is (x, y) = (1, 0), we substitute these values into the equation:

1 + 0 = 1² + 0² + c

1 = 1 + c

Simplify the equation to solve for c:

c = -1

The coordinates (n) at which the graphs touch each other are (1, 0).

The position (E, n) refers to the point of tangency, which in this case, is (1, 0).

To determine which graph passes near the point of tangency above the other, we compare the shapes of the graphs. The graph of f is a straight line, and the graph of g is a parabola.

By visualizing the graphs, we can see that the graph of g (the parabola) passes near the point of tangency (1, 0) above the graph of f (the straight line)

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Answer: the ace is B

Step-by-step explanation:

Let's denote the increase in both the radius and the height of the cylinders as 'x' inches.

The volume of a cylinder can be calculated using the formula V = πr²h, where V is the volume, r is the radius, and h is the height.

For the first cylinder (with original radius 8 inches and height 3 inches), the volume is given by V₁ = π(8)²(3) = 192π cubic inches.

For the second cylinder (with increased radius and height), the volume is given by V₂ = π(8 + x)²(3 + x).

Given that the resulting volumes are equal, we can set up the following equation:

V₁ = V₂

192π = π(8 + x)²(3 + x)

Canceling out the π from both sides, we have:

192 = (8 + x)²(3 + x)

Expanding the equation:

192 = (64 + 16x + x²)(3 + x)

192 = 192 + 48x + 16x² + 3x + x²

0 = 16x² + 51x

Simplifying the quadratic equation:

16x² + 51x = 0

x(16x + 51) = 0

Setting each factor equal to zero:

x = 0 (nonzero number of inches)

16x + 51 = 0

16x = -51

x = -51/16

Since we're looking for a nonzero increase, the increase is x = -51/16 inches.

Note: It's important to check the validity of the negative value for 'x' since it represents an increase. In this case, the negative value implies a decrease rather than an increase. Therefore, the increase in both the radius and the height is 0 inches.

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