A robot vacuum cleans a dirty floor using multiple passes. During each pass, 23% of the dirt is removed. If the floor initially has 440.0 ml of dirt, how much dirt will remain after 5 passes?

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The solution of the equation is x = 0.60 and x = -2.60.

To solve the equation 2x² + 7x = 3, we can rearrange it to the quadratic equation form:

2x² + 7x - 3 = 0

To solve this quadratic equation, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

In this case, a = 2, b = 7, and c = -3.

Plugging these values into the quadratic formula, we get:

x = (-(7) ± √((7)² - 4(2)(-3))) / (2(2))

x = (-7 ± √(49 + 24)) / 4

x = (-7 ± √73) / 4

So, x ≈ (-7 + √73) / 4 ≈ 0.60

x ≈ (-7 - √73) / 4 ≈ -2.60

Therefore, the solution of the equation is x = 0.60 and x = -2.60.

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Answer:

Around 18% increase

Step-by-step explanation:

Formula for percentage gain: final value-original value/original value

PG= 6,500,000-5,500,000/5,500,000

PG= 1,000,000/5,500,000

PG= 0.18181818

around 18%

Answer:

20 chocolate cookies

Step-by-step explanation:

7 +5 + 8 + x = 40

7+5+8= 20 cookies non chocolate

subtract 20 from both sides

40-20= 20 chocolate cookies

a. The recursive formula for the number of tulips Marko has is: \(Tn = Tn-1 + 5\), where Tn is the number of tulips in year n and Tn-1 is the number of tulips in year n-1.

b. The explicit formula for the number of tulips Marko has is: Tn = 20 + 5n, where Tn is the number of tulips in year n and n is the number of years since Marko started planting.

c. If this trend continues, there will be 90 tulips in 10 years.

d. If this trend continues, it will take Marko 40 years to have 200 tulips.

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Answer:

4/9

Step-by-step explanation:

(2/3)²

Distribute the square to the numerator and denominator.

2²/3²

Square the numerator and denominator.

4/9

The answer is 4/9.

Answer:

\(\frac{4}{9}\)

Step-by-step explanation:

Firstly, This is not an equation. This is an expression!

Now, The solving:

=> \((\frac{2}{3})^2\)

=> \(\frac{(2)^2}{(3)^2}\)

=> \(\frac{4}{9}\)

This is the Answer!

Hope it helps!

Don't hesitate asking anything regarding this!

Answer:

a. 44

Step-by-step explanation:

using inverse cosine we can find the angle since we have the length of the hypotenuse and adacent  

cos^-1 (13/18) = 43.76

Answer:

Step-by-step explanation: This week, I had a question in math class about the different types of angles, such as alternate interior angles theorem, alternate exterior angles, same-side interior angles, same-side exterior angles, corresponding angles, concurrent lines, perpendicular lines, and a few more types of angles about lines and knowing what matches to what type of angle. Yes, I did ask a few questions when I was confused about certain lines and how they have this angle, such as a concurrent line. Yes, my question was answered. I actually enjoy asking questions because if I don't learn what I'm confused about, how will I know how to improve and avoid making the same mistakes? Yes, I had someone else ask the same question I had before, whether it was something new learned in class or something confusing or difficult to learn. It made me feel relieved and grateful because I'm glad I wasn't the only one who was confused, and it makes it easier when someone else doesn't understand the same step, and challenges when learning new things. The questions we ask lead to new discoveries. Questions lead us to answers we never considered before we asked the question. Of course, one cannot simply ask question after question without considering possible answers. Many people, on the other hand, are afraid that by asking questions, they will appear weak, ignorant, or unsure. They are afraid that asking questions will place them in a negative light. Lastly, some people are so eager to get things done that they don't stop to ask questions because it might slow them down.

Answer:

y = 8/6x + 10/3

Step-by-step explanation:

You find the slope (m) first which is

Change of y over change of x

(6) - (-2)   over   (2)- (-4)

8/6 = m

Then you plug it into the equation y = mx + b

y = (8/6)x + b

Now you pick any of the set of points to plug in for x and y to solve for b

(6) = (8/6)(2) + b

6 = 8/3 + b

b = 10/3

Then plug into the equation for just m and b to get the equation of the line that passes thru both sets of points.

y = 8/6x + 10/3

Answer:

40 inches

Step-by-step explanation:

The scale ratio of the drawing is 1 inch : 3 yards

If the picnic area is 120 yards long, and every 3 yards is an inch in the drawing, you divide 120 by 3

120 / 3 = 40

The length of the picnic area in the drawing will be 40 inches long

Hope this helps  : )

Two angles and a non-included side of one triangle.

The AAS rule states that:

If two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, then the triangles are congruent.

In the diagrams below, if AC = QP,

∠ A = ∠ Q,

∠ B = ∠ R,

then triangle ABC ≅ QRP.

Congruence of triangles: Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.

There are 5 main rules of congruency for triangles:

SSS Criterion: Side-Side-Side.

SAS Criterion: Side-Angle-Side.

ASA Criterion: Angle-Side- Angle.

AAS Criterion: Angle-Angle-Side.

RHS Criterion: Right angle- Hypotenuse-Side.

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Answer:

Deborah used 10 pages

104-16=89

89 divided by 9 is 9.89

so Deborah filled 9 full pages and 89% of a 10th page

therefore, she used 10 pages

Step-by-step explanation:

Answer:

52 units squared

Step-by-step explanation:

Since each square in the grid is 1 unit, we can just find the area of all the rectangles and add them up.

First off, let's take a look at the left-most rectangle. It has a length of 4 units and a width of 2 units. The area of that rectangle is 8 units squared. This can also be achieved by counting the number of squares in the rectangle.

Follow this process for all 6 rectangles.

8 + 6 + 6 + 12 + 8 + 12 = 52

Answer:

52 units

Step-by-step explanation:

[] First, we will assume that each square in the grid is equal to one unit.

-> You can count each square in the shape which leads to 52, but I have provided the mathematical way below

[] Since this is a rectangular prism we know we will need to find the area of 6 rectangles for the total surface area.

[] Using the numbers they gave us, and thinking of the layout of a rectangular prism, we can find the side lengths of each rectangle.

-> See attached for my work on this step, it is shown in red

[] We can then do the multiplication for the area of each rectangle, and add them together.

-> For a quadrilateral, L * W = A

        - L is length

        - W is width

        - A is area

-> See attached for my work on this step, it is shown in blue

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

When the sample size is too small, it may be necessary to use alternative statistical tests or to collect a larger sample to ensure the accuracy and reliability of the results obtained.

The success-failure condition is a requirement for using certain statistical tests, such as the z-test and chi-square test. This condition requires that the sample size is large enough such that both the number of successes and the number of failures in the sample are at least 10.

The reason for this requirement is that statistical tests rely on the assumption of a normal distribution, which is not accurate when the sample size is too small. When the sample size is small, the distribution of the data may be skewed or have a high level of variability, which can lead to inaccurate or unreliable results.

When the success-failure condition is not met, it may be necessary to use alternative statistical tests or to collect a larger sample.

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132 feet²

For this question, you have to find area.

Area is length x width

so multiply 11 x 12

You will get 132 feet²

The number of kilometres that are equivalent to 28.5 cm² is 2.85 × 10⁹ km². Hence, after careful consideration concerning every option, the required answer for the given question is Option A.

Here, we have to depend on the principles of conversation of units and using this principles derive a formula.

To convert 28.5 cm² to km², we have to implement the formula

Total number of square centimeters x 1.0 x \(E^{-10}\) = Total number of square kilometers .

The number of kilometres that are equivalent to 28.5 cm² is 2.85 × 10⁹ km². Hence, after careful consideration concerning every option, the required answer for the given question is Option A.

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Answer:

5 down 7 across

Step-by-step explanation:

Answer:

y = -2

Step-by-step explanation:

You substitute 2 as x, y = 6 - 4 * 2, which is y = 6 - 8 = -2.

Answer:

Hello There. ☆°~-----__▪●▪__-----~°☆

If points A, D and C lie on a straight line, then angles ∠ADB and ∠BDC are supplementary angles and

m\angle ADB+m\angle BDC=180^{\circ}.

1. If you move point B right from the initial position, then m∠ADB increases and m∠BDC decreases, but m\angle ADB+m\angle BDC=180^{\circ}.

2. If you move point B left from the initial position, then m∠ADB decreases and m∠BDC increases, but m\angle ADB+m\angle 
BDC=180^{\circ}.

3. When point B lie on the line ADC, then:

a. Point B lies on the right hand from point D: m\angle ADB=180^{\circ} \\m\angle BDC=0^{\circ} ;

b. Point B lies on the left hand from point D: m\angle ADB=0^{\circ} \\m\angle BDC=180^{\circ} .

4. When point B is reflected about the line ADC situation is the same as in parts 1 and 2.

Hope It Helps!~ ♡

ItsNobody~ ☆

Answer:

The sum of m∠ADB and m∠BDC remains the same: m∠ADB + m∠BDC = 180°.

Step-by-step explanation:

PLATO answer.

The statement "if xⁿ = b, then x is an nth root of b" is true for all positive integers n.

An nth root is a number that, when raised to the nth power, equals a specified number. Any positive number has n different nth roots, one real and the others are complex. If b is a non-negative real number and n is a positive integer, then the nth root of b is a non-negative real number, denoted as √ⁿb or b^(1/n), that, when multiplied by itself n times, yields b. By definition, all nth roots of a positive number are positive and the nth root of 0 is 0.

The statement "if xⁿ = b, then x is an nth root of b" is true for all positive integers n because of the definition of an nth root. It means that if x raised to the nth power equals b, then x is an nth root of b. Thus, the statement is always true because it is the definition of an nth root.

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The equation of the path of the parabola is y = a(x - 13)² + 27

Given data ,

To represent the path of Al's toss, we can assume that the path is a parabolic trajectory.

The equation of a parabola in vertex form is given by:

y = a(x - h)² + k

where (h, k) represents the vertex of the parabola

Now , the balloon was released from the 10-yard line and landed at the 16-yard line, we can determine the x-values for the vertex of the parabola.

The x-coordinate of the vertex is the average of the two x-values (10 and 16) where the balloon was released and landed:

h = (10 + 16) / 2 = 13

Since the height of the balloon reached 27 yards, we have the vertex point (13, 27)

Now, let's substitute the vertex coordinates (h, k) into the general equation:

y = a(x - 13)² + k

Substituting the vertex coordinates (13, 27)

y = a(x - 13)² + 27

To determine the value of 'a', we need another point on the parabolic path. Let's assume that the highest point reached by the balloon is the vertex (13, 27).

This means that the highest point (13, 27) lies on the parabola

Substituting the vertex coordinates (13, 27) into the equation

27 = a(13 - 13)² + 27

27 = a(0) + 27

27 = 27

Hence , the equation representing the path of Al's toss is y = a(x - 13)² + 27, where 'a' can be any real number

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Answer:

9. 10*3/5=6

10. (-3)*6/5=-3.6

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Person C would receive an alarm from the bracelet since their heart rate is above the normal resting heart rate range.

(i) In this specific application, the optimal choice for the LED color would be green. Green light is most commonly used for heart rate monitoring because it is absorbed by both oxygenated and deoxygenated hemoglobin in the blood. This allows for accurate measurement of blood flow changes, even when the device is not tightly fitted to the wrist and may be subject to movement noise. Green light is less affected by variations in skin pigmentation and provides reliable readings in most individuals.

(ii) To determine which person would receive an alarm from the bracelet based on the RR interval, we need to convert the RR interval to heart rate (beats per minute) and compare it to the normal resting heart rate range.

To convert RR interval to heart rate (HR), we can use the formula:

HR (in beats per minute) = 60,000 / RR interval (in milliseconds)

For Person A:

HR = 60,000 / 1000 = 60 beats per minute

For Person B:

HR = 60,000 / 600 = 100 beats per minute

For Person C:

HR = 60,000 / 400 = 150 beats per minute

Comparing the calculated heart rates to the normal resting heart rate range of 60-100 beats per minute, we can determine which person would receive an alarm from the bracelet:

- Person A: HR = 60 bpm (within the normal range)

- Person B: HR = 100 bpm (within the normal range)

- Person C: HR = 150 bpm (above the normal range)

Therefore, Person C would receive an alarm from the bracelet since their heart rate is above the normal resting heart rate range.

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The probability that the sum of two fair dice is not 7 is \(31/36\).When two fair dice are rolled, the probability of the sum not being 7 is \(5/6\).

When two fair dice are rolled, there are a total of 36 possible outcomes (6 outcomes for the first die multiplied by 6 outcomes for the second die). Out of these 36 outcomes, there are 6 outcomes where the sum is 7 (1+6, 2+5, 3+4, 4+3, 5+2, and 6+1).

To find the probability of the sum not being 7, we subtract the number of outcomes where the sum is 7 from the total number of outcomes and divide by the total number of outcomes:

\(1 - (6/36) = 30/36 = 5/6\)

Therefore, the probability that the sum is not 7 is \(5/6\).

When two fair dice are rolled, the probability of the sum not being 7 is \(5/6\).

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Answer:

The transformation is (y,-x)

Step-by-step explanation:

To know the mapping notation, we need to know the coordinates of the image and the pre-image

For the pre-image, we have;

A(3,8)

B(6,8)

C(6,2)

For the image, we have

A’( 8,-3)

B’ (8,-6)

C’ (2,-6)

So let us try and get the transformation from the coordinates

We can see that this is;

(x,y) to (y,-x)

Answer:

-7x + 6

Step-by-step explanation:

Answer:

6 DIVIDED BY 1/8

Step-by-step explanation:

Answer: 6 divided by 1/8

Answer:  A

Step-by-step explanation:

When multiplying: Numbers multiply with numbers and for the x's, add the exponents

If there is no exponent, you can assume an imaginary 1 is the exponent

2x⁴ (3x³ − x² + 4x)

= 6x⁷ -2x⁶ + 8x⁵

Answer:

A. \(6x^{7} - 2x^{6} + 8x^{5}\)

Label the parts of the expression:

Outside the parentheses = \(2x^{4}\)

Inside parentheses = \(3x^{3} -x^{2} + 4x\)

You must distribute what is outside the parentheses with all the values inside the parentheses. Distribution means that you multiply what is outside the parentheses with each value inside the parentheses

\(2x^{4}\) × \(3x^{3}\)

\(2x^{4}\) × \(-x^{2}\)

\(2x^{4}\) × \(4x\)

First, multiply the whole numbers of each value before the variables

2 x 3 = 6

2 x -1 = -2

2 x 4 = 8

Now you have:

6\(x^{4}x^{3}\)

-2\(x^{4}x^{2}\)

8\(x^{4} x\)

When you multiply exponents together, you multiply the bases as normal and add the exponents together

\(6x^{4+3}\) = \(6x^{7}\)

\(-2x^{4+2}\) = \(-2x^{6}\)

\(8x^{4+1}\) = \(8x^{5}\)

Put the numbers given above into an expression:

\(6x^{7} -2x^{6} +8x^{5}\)

distribution

variable

like exponents