Write the number in scientific notation5,430,000

Answer:

125

Step-by-step explanation:

5^3 = 5*5*5

5*5*5 = 25*5 = 125

Hope this helps :)

Have a nice day!

Answer:

125

Step-by-step explanation:

5^3 = 5*5*5

5*5*5 = 25*5 = 125

Based on the image, the correct coordinates for the green rectangle are (-4,-2), (-4,1), (3,-2), (3,1) (option D).

The general coordinates format is (x,y), in which x is the location on the horizontal axis and y is the location on the vertical axis. Moreover, in the case of shapes such as rectangles, we need to add a coordinate for each corner, which shows its position and size of it. Based on this, the coordinates for this shape would be:

(-4,-2), (-4,1), (3,-2), (3,1)

Therefore, the correct option is D.

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The value of tan 2π/3 without calculator is -√3.

The value of tan 2π/3 without calculator is calculated by applying trig identities as follows;

the value of π = 180 degrees

So we can replace the value of π in the function with 180 degrees as follows;

tan ( 2π / 3) = tan (2 x 180 / 3)

tan (2 x 180 / 3) = tan (2 x 60)

tan (2 x 60) = tan (120)

tan (120) if found in the second quadrant, and the value will be negative since only sine is positive in the second quadrant.

tan (120) = - tan (180 - 120)

= - tan (60)

= -√3

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Given Data:

The radius of the circle is r=9 ft.

The side of the square will be twice the radius of the circle, i.e.a=18 ft.

The area of the shaded region can be determined by substracting the area of circle from the area of square,

Thus, the requried shade area is 69.53 square foot.

Answer:

115 degrees and next time use a protractor.

Step-by-step explanation:

About 88.49% of cellphone plans have charges that are less than $83.60.

To determine the percentage of plans that have charges less than $83.60, we need to find the z-score (z) using the given mean and standard deviation, and then look up the corresponding area under the normal distribution curve.

z = (x – μ) / σ

where x = 83.60, mean, μ =  62 and standard deviation, σ = 18

Thus, the z-score of $83.60 is:

z = (83.60 - 62) / 18 = 1.2

Using a standard normal distribution table, we can find that the area to the left of z = 1.20 is 0.8849 or 88.49% (check image attached).

Therefore, about 88.49% of cellphone plans have charges that are less than $83.60.

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The price of the cost per quart of laundry detergent is A = $ 3.47

Given data ,

Let the unit cost rate be A

Now , There are 4 quarts in a gallon, so a 2-gallon container contains 8 quarts.

To find the price per quart, we can divide the total cost by the number of quarts:

Price per quart = Total cost / Number of quarts

Price per quart = $27.76 / 8 = $3.47

Hence , the price per quart of laundry detergent is $ 3.47

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when the value of (x) is close to 2 for the function F(x)=1/x-2 moving to either a very large positive or very large negative  number.

What is Function?

A relation between a collection of inputs and outputs is known as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function.

we can see from the graph,

when the value of (x) is close to 2 for the function F(x)=1/x-2 moving to either a very large positive or  very large negative  number.

Because, the function keeps extending

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Answer:

$ 1.932

Step-by-step explanation:

Answer:

The pvalue of the test is 0.0083 < 0.1, which means that there is enough evidence to conclude that residents of Legacy Ranch use less water on average

Step-by-step explanation:

The American Water Works Association reports that the per capita water use in a single-family home is 69 gallons per day. Test that the residents use less water.

At the null hypothesis, we test that the mean is 69, that is:

\(H_0: \mu = 69\)

At the alternate hypothesis, we test that the mean is less than 69, that is:

\(H_a: \mu < 69\)

The test statistic is:

As we have the standard deviation for the sample, we use the t-statistic.

\(t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

69 is tested at the null hypothesis:

This means that \(\mu = 69\)

Thirty-six owners responded, and the sample mean water use per day was 64 gallons with a standard deviation of 8.8 gallons per day.

This means that \(n = 36, X = 64, s = 8.8\)

Value of the test statistic:

\(t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}\)

\(t = \frac{64 - 69}{\frac{8.8}{\sqrt{36}}}\)

\(t = -3.41\)

Pvalue of the test and decision:

The pvalue of the test is the probability of finding a mean less than 64, which is the pvalue of t = -3.41, found on the t-table with 36 - 1 = 35 degrees of freedom on a one-tailed test.

With calculator help, the pvalue is 0.0083.

The pvalue of the test is 0.0083 < 0.1, which means that there is enough evidence to conclude that residents of Legacy Ranch use less water on average

Answer:

Step-by-step explanation:

Total amount of yogurts made by Stacy = 1.5 Litres

Volume of each cups to be filled with yogurts = 125mL = 125*10⁻³Litres

To get the number of cups Stacy can fill for her to exhaust 1.5Litres can be gotten using the relationship;

Number of cups = Total volume of yogurts made/Volume of each cup

Number of cups = 1.5/125*10⁻³

Number of cups = 1.5/0.125

Number of cups = 12 cups

Number of cups Stacy can fill is 12 cups

The equation of p(x) in vertex form is;

p(x) = 9.67(x + 1.04)² - 10.25

The closest answer choice is:

p(x) = 3(x - 1)²  - 2, which is not correct.

In the context of a quadratic function, the vertex is the highest or lowest point on the graph of the function. It is the point where the parabola changes direction. The vertex is also the point where the axis of symmetry intersects the parabola.

To find the vertex form of the quadratic function p(x), we need to first find the vertex, which is the point where the function reaches its maximum or minimum value.

To find the vertex, we can use the formula:

x = -b/2a, where a is the coefficient of the x²  term, b is the coefficient of the x term, and c is the constant term.

Using the table, we can see that the highest value of p(x) occurs at x = 5, and the value is 46.

We can then use the formula to find the vertex:

x = -b/2a = -5/2a

Using the values from the table, we can set up two equations:

46 = a(5)² + b(5) + c

1 = a(0)²  + b(0) + c

Simplifying the second equation, we get:

1 = c

Substituting c = 1 into the first equation and solving for a and b, we get:

46 = 25a + 5b + 1

-20 = 5a + b

Solving for b, we get:

b = -20 - 5a

Substituting b = -20 - 5a into the first equation and solving for a, we get:

46 = 25a + 5(-20 - 5a) + 1

46 = 15a - 99

145 = 15a

a = 9.67

Substituting a = 9.67 and c = 1 into b = -20 - 5a, we get:

b = -20 - 5(9.67) = -71.35

Therefore, the equation of p(x) in vertex form is:

p(x) = 9.67(x - 5)²  + 1

Simplifying, we get:

p(x) = 9.67(x²  - 10x + 25) + 1

p(x) = 9.67x²  - 96.7x + 250.85 + 1

p(x) = 9.67x²  - 96.7x + 251.85

Rounding to the nearest hundredth, we get:

p(x) = 9.67(x - 5²  + 1 = 9.67(x + 1.04)²  - 10.25

Therefore, the answer is:

p(x) = 9.67(x + 1.04)² - 10.25

The closest answer choice is:

p(x) = 3(x - 1)²  - 2, which is not correct.

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Yes, there is a difference in the shapes of the displacement-time graphs for uniform acceleration towards the positive direction, uniform acceleration towards the negative direction, uniform deceleration towards the positive direction, and uniform deceleration towards the negative direction.

Uniform acceleration towards the positive direction:

In this case, the object's velocity increases in the positive direction over time. The displacement-time graph will have a concave-upward shape, forming a curve that starts with a small slope and gradually becomes steeper as time progresses.

Uniform acceleration towards the negative direction:

Here, the object's velocity increases in the negative direction, meaning it accelerates in the opposite direction to its positive direction.

The displacement-time graph will have a concave-downward shape, forming a curve that starts with a steep slope and gradually becomes less steep as time progresses.

Uniform deceleration towards the positive direction:

In this scenario, the object's velocity decreases in the positive direction, but it still moves towards the positive direction.

The displacement-time graph will show a curve with a decreasing slope, forming a concave-downward shape, indicating that the object is slowing down.

Uniform deceleration towards the negative direction:

Here, the object's velocity decreases in the negative direction, opposing its initial direction.

The displacement-time graph will have a curve with a decreasing slope, forming a concave-upward shape, indicating that the object is slowing down but still moving in the negative direction.

In summary, the shapes of the displacement-time graphs differ based on the direction and type of acceleration (positive or negative) and whether the object is undergoing uniform acceleration or uniform deceleration. These differences can be observed through the concavity and slope of the graphs.

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#1

Lets verify

Yes verified

#2

Lets verify

Yes verified

Rule to be noted:-

If ax²+bx+c be a function

Then

Answer:

the 1st one i think cause its 500 all together

Answer:

a + c + s = 180

3c + 5a + 2s = 500

a = 10c

Step-by-step explanation:

trust

Answer:

(5x-5)°=90°

5x-5=90

5x=90+5

=95

x=95÷5

=19

angle BCD=19+12

=31°

Answer:

\(\frac{11}{12}\)

Step-by-step explanation:

\(Rule: \frac{x}{y} \pm \frac{a}{b} = \frac{x \pm y}{z}\\\frac{1}{4}+\frac{2}{3} = \frac{3}{12}+\frac{8}{12} (LCM)\\=\frac{3+8}{12}\\=\frac{11}{12}\\\)

Answer:

2.25

Step-by-step explanation:

6 · 3/8 = 18/8 = 2.25

B. After 24 hours, approximately 2.49 grams will be left.

C. After approximately 18.13 hours, there will be approximately one gram left.

A. To represent the number of grams present after n hours, we can use the equation:

N(n) = 15 × (1 - 0.2)^n

Where:

N(n) is the number of grams present after n hours,

15 is the initial amount of the substance in grams,

0.2 represents the decay rate of 20% per hour, and

^n represents the exponentiation operation.

B. To find out how much will be left after 24 hours, we can substitute n = 24 into the equation from part A:

N(24) = 15 × (1 - 0.2)^24

Calculating this expression, we find that approximately 2.49 grams will be left after 24 hours.

C. We need to determine the number of hours it takes until there is approximately one gram left. We can set up the equation:

1 = 15 × (1 - 0.2)^n

To solve for n, we can divide both sides of the equation by 15 and then take the logarithm (base 0.8) of both sides:

log(0.8)(1/15) = n

Using a calculator or logarithmic properties, we find that approximately 18.13 hours are required until there is approximately one gram left.

Therefore, the answers are:

B. After 24 hours, approximately 2.49 grams will be left.

C. After approximately 18.13 hours, there will be approximately one gram left.

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Answer:

0.311 miles

Step-by-step explanation:

Convert 16 seconds to hours :

16 /60×60

= 16÷3600

= .004444hrs

Distance = Speed × time

= 70 × 0.00444444

= 0.311 miles

Considering the scatter plot, the function that best fits the data is given by:

f(x) = 3x².

To find the function that best fits the data, we have to look at the scatter plot, which gives a series of points (x,y).

We have that:

Hence the function that best fits the data is given by:

f(x) = 3x².

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Answer:

9% over a hundred divided by150

hundred because i don't remember the rule but it what you use (100%)

9 * 100 /150

= your answer is 6 (you can recheck)

12% over a hundred times 72

12 * 100 /  72

= your answer is 16 .6

Step-by-step explanation:

hope this helps good luck

Answer:

use a proportion to solve;

150 9%

----- = -----

x 100%

100/9 = 11.11111111

11.1111111 x 150 = 1666.6666666666 is a.

72 12

---- = -----

x 100

100/12 = 8.3333333333333

8.3333333333333 x 72 = 599.99999999999 or 600 rounded

Step-by-step explanation:

hope this helps. i personally loved doing my percent unit during middle school. ❣️

Plug x = 0 to check

\(\log(x+7) + \log(x-3)\\\\=\log(0+7) + \log(0-3)\\\\=\log 7 + \log (-3)\\\\\)

You cant take log of negative number or 0 so x = 0 is not a  solution.

Answer:

49.93

Step-by-step explanation:

it is 0.07 away from 50

The C.50.09 is the number that is within the smallest range of 0.09 from 50.

Among the given options, the number 50.09 is the closest to 50. This is because it is only 0.09 away from 50, whereas the other options are farther away. The numbers 50.1 and 50.101 are slightly farther, being 0.1 and 0.101 away from 50 respectively. Similarly, the numbers 49.93 and 49.01 are also farther away, being 0.07 and 0.99 away from 50 respectively. The number closest to 50 among the options provided is 50.1. It is merely a tenth above 50, while the other numbers—49.93, 49.01, and 50.09—are each farther away from 50 than 0.1. Therefore, based on the given options, 50.09 is the number that is closest to 50.

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Using central angle theorem,

The measure of the arc BC = 110°.

An angle with its vertex in the middle of the circle it creates with its two radii is said to be central.

Here in the question,

As per the central angle theorem:

(2x -30) ° + x° = 180°

⇒ 2x - 30 + x = 180

⇒ 3x - 30 = 180

Adding 30 on both sides:

⇒ 3x = 180 + 30

⇒ 3x = 210

Dividing both sides by 3.

⇒ x = 70°

Now BC = 2x-30

= 2 × 70 -30

= 140 - 30

= 110°

Therefore, the measure of BC = 110°.

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To find the missing angle measure, we need to use the fact that the sum of angles in a triangle is 180 degrees. Let's denote the missing angle as x. We know that one angle is 38 degrees and another angle is 12.5 degrees.Therefore, the missing angle measure is 129.5 degrees.

By subtracting these two angles from 180 degrees, we get:

180 - 38 - 12.5 = 129.5

Without additional information, it is not possible to determine the remaining parts of the triangle. We would need the lengths of at least one side or the measures of other angles to solve for the missing parts.

The given information states that AC is equal to AB minus mzB. Without knowing the values of AB and mzB, we cannot determine the exact length of AC. We would need additional information to solve for the length of AC.Therefore, the missing angle measure is 129.5 degrees.

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Answer:

the solution to the trigonometric inequality cos(0.65x) > 0.44 over the interval 0 ≤ x < 4.834.

Step-by-step explanation:

The given inequality is:

cos(0.65x) > 0.44

To solve this inequality, we need to isolate the variable x.

First, let's take the inverse cosine (arccos) of both sides to remove the cosine function:

arccos(cos(0.65x)) > arccos(0.44)

Since the range of the inverse cosine function is limited to [0, π], we can rewrite the inequality as:

0 ≤ 0.65x < π

Now, let's solve for x by dividing each part of the inequality by 0.65:

0/0.65 ≤ x < π/0.65

Simplifying, we have:

0 ≤ x < π/0.65

Now, let's calculate the approximate value of π/0.65 to determine the interval for x:

π/0.65 ≈ 4.834

i hope i helped!

Step-by-step explanation:

\( - \frac{x}{2} - 1 = (y - 3) {}^{2} \)

\( - 0.5(x + 2) = (y - 3) {}^{2} \)

A parabola with a vertex (-2,3)