Which of the following statements is meaningless?
A.There was a 3% decrease in the price of sugar.
B.There was a 200% increase in the population of a town.
C.There was a 120% decrease in the amount of water in a dam. D.There was a 0% change in the temperature in the room after 1 hour.

Answer:

076.028 has six significant figure because the 0 before the is not significant figure

Answer: 4x^2

Step-by-step explanation:

Sorry I don't know how to explain I hope this helps you have a great day

Answer:

1: 4:15

2: 4/15

Step-by-step explanation:

I think Im right. I hope this helps you out!

Answer:

The ratio of side lengths is 4:15

The ratio of areas as a fraction is 16/225

Step-by-step explanation:

We can probably assume the triangles are similar. If that is the case, the smaller triangle is 4/15s the size of the blue triangle. That makes the ratio 4:15.

As for the ratio of areas, areas are expressed in length^2. Inches squared, centimeters squared, meters squared, or whatever length. It is always a length squared.

Similarly, the ratio of the length can be squared to give the ratio of the areas. The ratio of the areas is 4^2 / 15^2 = 16/225

The yearly deposit needed to achieve the retirement goal is approximately $17,650.23. None of the given options match this amount, so the correct answer is not provided in the given options.

To calculate the yearly deposits needed, we can use the concept of future value of an annuity. The future value formula for an annuity is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV = Future value of the annuity

P = Yearly deposit amount

r = Interest rate per period

n = Number of periods

In this case, the future value needed is $2 million, the interest rate is 8% (0.08), and the number of periods is 30 years. We need to solve for the yearly deposit amount (P).

Using the given formula:

2,000,000 = P * [(1 + 0.08)^30 - 1] / 0.08

Simplifying the equation:

2,000,000 = P * [1\(.08^3^0 -\) 1] / 0.08

2,000,000 = P * [10.063899 - 1] / 0.08

2,000,000 = P * 9.063899 / 0.08

Dividing both sides by 9.063899 / 0.08:

P = 2,000,000 / (9.063899 / 0.08)

P ≈ 2,000,000 / 113.298737

P ≈ 17,650.23

Therefore, the yearly deposit needed to achieve the retirement goal is approximately $17,650.23. None of the given options match this amount, so the correct answer is not provided in the given options.

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Answer:

slope = \(\frac{5}{4}\)

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \(\frac{5}{4}\) x - \(\frac{7}{4}\) ← is in slope- intercept form

with slope m = \(\frac{5}{4}\)

Considering the density curve, the percent of the area under the

density curve where x is less than 2 is 375.5%

The total area under the curve is by the formula of a trapezoid

= 1/2 (sum of parallel lines) * height

= 1/2 * (0.25 + 0.75) * 2

= 0.5 * 1 * 2

= 1

Area of the curve where x < 2

= 1/2 (sum of parallel lines) * height

= 1/2 * (0.25 + 0.5) * 1

= 0.5 * 0.75 * 1

= 0.375

the percent area

= area of area where x is less than 2

= 0.375 / 1 * 100

= 37.5%

the percent area is 37.5

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Answer:

$52.50

Step-by-step explanation:

Each year, they would make 17.5% of 50 or 0.175 * 50 = $8.75.

Since this happens for 6 years, that would be 8.75 * 6 = $52.50

The simplified form of the expression -6w + (–8.3) + 1.5+ (–7w) is -13w - 6.8.

Given the expression in the question;

-6w + (–8.3) + 1.5+ (–7w)

To simplify, first remove the parenthesis

Note that;

-6w + × - 8.3 + 1.5 + × - 7w

-6w - 8.3 + 1.5 - 7w

Next collect and add like terms

-6w - 7w - 8.3 + 1.5

Add -6w and -7w

-13w - 8.3 + 1.5

Add -8.3 and 1.5

-13w - 6.8

Therefore, -13w - 6.8 is the simplified form.

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Answer:

l = 194999.45

Step-by-step explanation:

I'm going to assume that you meant 3.14 by 3,14.

336,765 = 3.14 × 0.55 × (l + 0.55)

336,765 ÷ (3.14 × 0.55) = l + 0.55

(336,765 ÷ (3.14 × 0.55)) - 0.55 = l

l = 194999.45

Answer:

250 i think cus

Step-by-step explanation:

5% of 5,000 is 250

The given statement "a rational expression is undefined if the numerator is zero" is false because a rational expression is undefined if the denominator is zero, not the numerator.

When the denominator of a rational expression becomes zero, the expression becomes undefined because division by zero is not defined in mathematics.

If the numerator of a rational expression is zero, it does not make the expression undefined. Instead, it results in the value of the expression being zero, regardless of the value of the denominator.

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Answer:

The answer is D.

Step-by-step explanation:

The pythagorean theorem is \(A^{2}\) + \(B^{2}\) = \(C^{2}\)

You use that equation to find b.

Answer:

ADE = 63°

Step-by-step explanation:

One thing at a time. We can start telling that triangle ADE is isosceles, of baseAD. Means the two angles EAD e ADE are congruent, and each measures  \(\frac {180-54}2 = 63°\).

Now look at angles EDA and ECB. They are corresponding angles relative to the parallels DA and CB, so they are congruent. Measure of angle C is the same of measure of angle ADE = 63°

Edit: I've been asked for the rest of the measures. Purple ones are the one you find during the exercize. Red ones are the remaining. External ADC is supplementary to ADC (it's an external angle) angle BAD is alternate to ADE respect to the two parallels AB and CE, so they are congruent. Angle ABC is supplementary to angle BCD since they're internal conjugate relative to the same two parallels.

Answer:

17 meters

Step-by-step explanation:

|\ angle = 60 degrees here of triangle
|   \              <-- digitaly drawn triangle
|___\

cirlcle diameter is 60 meters, since pillar is at the center then the distance of the pillar to the edge of the circlular meadow is (60/2) 30 meters.

30 meters is opposite of the angle.

The height of the pillar is adjacent to the angle so use tangent to solve

Tan(60) = 30/x

Tan(60) = 1.7; make sure that calculator is in degrees and not in radians to not get an incorrect value

1.7 = 30/x --> 1.7x = 30

x = 30/1.7

x = 17.3205 meters

using 2 significant figures gives us 17 meters

Answer:

6

Step-by-step explanation:

First, make an equation out of this diagram. Replace the coin pouches with the variable of x, and replace the number of coins with numerical values. You get the equation 2x + 21 = 5x + 3. Subtract 3 from both sides to get 2x + 18 = 5x. Then, subtract 2x from both sides to get 3x = 18. Divide both sides by 3 to get 6 coins per pouch.

The height of a student who weighs 146 pounds is about 67.5 inches. Option ( a )

In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things. types of Graphs in Statistics. The four basic graphs used in statistics include bar, line, histogram and pie charts.

if we see the graph properly in the given image, we can clearly see the line of best fit in which the height of a student who weighs 146 pounds is about 67.5 inches.

Option ( a ) .

About 67.5 inches

Therefore, the height of a student who weighs 146 pounds is about 67.5 inches. Option ( a )

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Answer:

Eric drove 28 7/11 miles with 1 gallon of gas.

Step-by-step explanation:

You just use long division and do 315 divided by 11, and you should get 28R7 so you just turn that R7 into 7/11.

Have a nice rest of your day :)

We will draw Venn diagrams to illustrate the given conditions: (a) (A ∩ B) ⊆ (A ∩ C) and B ⊆ C, and (b) (A ∩ B) ⊆ (A ∩ C) and B ⊆ C. The Venn diagrams visually demonstrate the relationships between the sets A, B, and C based on the given conditions.

(a) The Venn diagram for condition (a) can be drawn as follows:

-------------

|      A    |

-------------

|   |       |

| B |  C    |

|   |       |

-------------

Here, A represents the set A, B represents the set B, and C represents the set C. The overlap between A and B is represented by A ∩ B, and the overlap between A and C is represented by A ∩ C. According to the condition, (A ∩ B) is a subset of (A ∩ C), which means that the overlap between A and B is completely contained within the overlap between A and C. Additionally, B is a subset of C, indicating that the set B is completely contained within the set C.

(b) The Venn diagram for condition (b) is similar to the previous one, with the same representation of sets A, B, and C. According to the condition, (A ∩ B) is a subset of (A ∩ C), which means that the overlap between A and B is completely contained within the overlap between A and C. Additionally, B is a subset of C, indicating that the set B is completely contained within the set C.

In both cases, the Venn diagrams visually demonstrate the relationships between the sets A, B, and C based on the given conditions.

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If the area of the triangle is 120 cm^2, the value of x is equal to 6.

Mathematically, the area of a triangle can be calculated by using this mathematical expression:

Area of a triangle (A) = 1/2 × b × h

Where:

According to Hero's Formula area of triangle by Heron of Alexandria, if a, b, c are the side lengths of a triangle, then, the area of a triangle can be calculated by using this mathematical expression:

Area of a triangle (A) = √[s(s − a)(s − b)(s − c)]

Where:

s = (a + b + c)/2

s = (x + x + 1 + 2x - 1)/2

s = 4x/2

s = 2x

Substituting the parameters into Hero's Formula formula, we have the following;

x√10 = √[2x(2x − x)(2x − x - 1)(2x − 2x + 1)]

x√10 = x√2(x − 1)

√10 = √2(x − 1)

Taking the square of both sides, we have:

10 = 2(x - 1)

10 = 2x - 2

2x = 12

x = 12/2

x = 6.

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Answer:

The vertex is located on the x-axis between the second and third quadrants

Step-by-step explanation:

Whereby the function is f(x) = (x + 3)², we have;

f(x) = (x + 3)² = x² + 6·x + 9

The vertex, (h, k), of the quadratic function given in general form, a·x² + b·x + c is found as follows;

h = -b/(2·a) and k = f(h)

Therefore by comparison of the given quadratic function and the general form of a quadratic function, we have;

a = 1, b = 6, c = 9

h = -6/(2 × 1) = -3

k = f(-3) = (-3)² + 6 × (-3) + 9 = 0

The vertex (h, k) = (-3, 0)

Therefore, the location of the vertex is on the x-axis axis between the second and the third quadrant.

17. For the equation y = 2 - sin(π/3 x + π/3), the amplitude is 1, the period is 6, and the phase shift is -1. 18. The equation representing your height above the ground, h(t), can be written as h(t) = 300 + 300 sin((π/18)t). The term 300 represents the mean height above the ground, and the sine function accounts for the oscillation of the Ferris wheel as time progresses

17. For the equation y = 2 - sin(π/3 x + π/3), the amplitude is 1, the period is 6, and the phase shift is -1. The amplitude represents the maximum distance from the mean value, which in this case is 2. The period is the length of one complete cycle of the function, and it is determined by the coefficient of x inside the sine function. The phase shift indicates the horizontal translation of the graph and is calculated by finding the value inside the parentheses that makes the argument of the sine function equal to zero.

18. The Ferris wheel has a diameter of 600 feet, so its radius is 300 feet. It completes one rotation every 36 minutes, which means it takes 18 minutes to reach its highest and lowest points. Since you decide to ride the Ferris wheel for two full rotations, your total ride time is 72 minutes. At time t = 0, you board the Ferris wheel. To sketch the graph of your height above the ground, h(t), we need to consider two periods of the Ferris wheel's rotation. During the first 36 minutes, your height will vary from 0 to 600 feet as you reach the highest and lowest points. Then, during the next 36 minutes, your height will again vary from 0 to 600 feet, completing the second rotation. The equation representing your height above the ground, h(t), can be written as h(t) = 300 + 300 sin((π/18)t). The term 300 represents the mean height above the ground, and the sine function accounts for the oscillation of the Ferris wheel as time progresses.

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Answer:

THE ANSWER IS (B)

Step-by-step explanation:

Answer:

B! Because remainder means extra things in an equation. You'll learn it in the future as decimals.

The five-number summary of the data set given is:

The five-number summary can be defined as a set of descriptive statistics that gives you an idea how your data looks like.

The five-number summary include the following:

The interquartile range is a measure of the spread of a data set, which is: IQR = Q3 - Q1

Given the data set, 48, 50, 54, 54, 62, 68, 70, 72, 75, 77, 78, 80:

Minimum = 48

First Quartile (Q1) = (54 + 54)/2 = 54

Median = (68 + 70)/2 = 69

Third Quartile (Q3) = (75 + 77)/2 = 76

Maximum = 80

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Answer:

132 miles

Step-by-step explanation:

Answer: the answer is 93.7 miles

The person's expected gain from investing in this stock is $500.

The probability of earning a profit is given as 0.3, which means there is a 30% chance of this happening. The probability of taking a loss is given as 0.7, which means there is a 70% chance of this happening.

To calculate the expected gain, we need to multiply the probability of each outcome by its corresponding gain or loss. The expected gain is the sum of these products.

Expected gain = (probability of earning a profit x gain from earning a profit) + (probability of taking a loss x loss from taking a loss)

Expected gain = (0.3 x $4,000) + (0.7 x -$1,000)

Expected gain = $1,200 - $700

Expected gain = $500

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Answer:

14.5454545455

Step-by-step explanation:

divide

Answer:

The next step is;

Label the two intersection points

Step-by-step explanation:

To make a copy of an angle, the steps are;

1) Draw the rays of the original angle passing through the point B

2) Open the compass slightly and place the compass point on the vertices G where the two rays meet to draw an arc that intersect both rays

3) Label the point of intersection of both rays points C and D

4) With the compass still opened to the same width, move the compass to the point B on the line the angle is to be copied and draw a similar arc intersecting the ray at J

5) Open the compass to the width of C and D on the original angle and place the compass at point J to mark the arc on the copied angle location at M

6) Draw a line from B passing through M to complete the second ay of the copied angle.