Marcel plugged in his work tablet and phone. The phone had a battery charge of 13% and started increasing by 2 percentage points every 3 minutes. The tablet had charge of 25% and started increasing by l percentage point every 3 minutes. Let t represent the time, in minutes, since Marcel plugged in the phone and tablet. Complete the inequality to represent the times when the phone would have at least as much battery charge as the tablet.​

Step-by-step explanation:

13 hours

6 + 4 + 3 = 13

correct if wrong

Answer:

Step-by-step explanation:

yes!

Answer:

i

Step-by-step explanation:

Answer:

12 feet

Step-by-step explanation:

use the pythagorean theorem to figure out what the hypotenuse is

3.5^2+3.5^2=x^2

12.25+12.25=x^2

25=x^2

x=5

now that you know the hypotenuse, you can find the perimeter by adding up all the sides

3.5+3.5+5=12

Answer:

so we get as,

let, y = 2 - 9i

so the absolute value is |y|

so we get as,

|y| = 2-9i

so the absolute value is  |y|

|y|=√ 2 to the 2nd power plus 9 to the second power

so we get as,

|y|=

√81+4=√85

so the value is √85

Example:

| − 2 − i | = √ 5

Explanation:

Absolute value of a complex number  a + i b  is written as  | a + i b |  and its value as  √a 2 + b 2 .  

Hence, absolute value of  − 2 − i  is  √ ( − 2 ) 2 + ( − 1 ) 2 = √ 4 + 1 = √ 5 .

Step-by-step explanation:

On solving the provided question, we cans ay that the trigonometry is

z= cos(2π÷3)+ i sin(2π÷3) => \(z^4 = 1+i/16\)

The area of mathematics known as trigonometry examines the correlation between triangle side lengths and angles. The area first appeared in the Hellenistic era, around the third century BC. from the use of geometry in astronomical study. The area of mathematics known as exact methods deals with specific trigonometric functions and how they might be used in calculations. There are six popular trigonometric functions in trigonometry. Sine, cosine, tangent, cotangent, secant, and cosecant are their respective names and acronyms (csc). Studying the characteristics of triangles, particularly right triangles, is called trigonometry. The study of geometry, however, is the characteristics of all geometric figures.

here,

the trigonometry is

z= cos(2π÷3)+ i sin(2π÷3)

z = 1/2 + i/2

\(z^4 = 1/16 + i/16\)

\(z^4 = 1+i/16\)

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Answer:

-9

Step-by-step explanation:

(6+3) divided by (4-5)

9/-1

-9

Answer:

0

Step-by-step explanation:

are given:

\displaystyle \frac{\sin^2(x)-\sin(x)-2}{\sin(x)-2}

sin(x)−2

sin

2

(x)−sin(x)−2

To make it simpler and more clear, we can let u = sin(x). So:

\displaystyle \frac{u^2-u-2}{u-2}

u−2

u

2

−u−2

Now, it becomes obvious that we can factor, which produces:

\displaystyle =\frac{(u-2)(u+1)}{u-2}=

u−2

(u−2)(u+1)

Cancel:

=u+1=u+1

And substituting back:

=\sin(x)+1=sin(x)+1

Hence, our answer is A.

The binomial expansion is solved and the error in Dakota's statement is the incorrect substitution of 36g^2h^2 for the correct expression

Given data ,

Dakota made a mistake because the third term of the expansion of (2g + 3h) should have been 36g2h2. The binomial theorem asserts that the expansion of (2g + 3h) is as follows:

( x + y )ⁿ = ⁿCₐ ( x )ⁿ⁻ᵃ ( y )ᵃ

Here, x = 2g and y = 3h. Since term numbers begin at 0, since we are seeking for the third term, r = 2.

So , on simplifying the equation , we get

= nC2 * (2g)⁽ⁿ⁻²⁾ * (3h)²

= (n! / (2! * (n - 2)!)) * (2g)⁽ⁿ⁻²⁾ * (3h)²

= ((n * (n - 1)) / 2) * (2g)⁽ⁿ⁻²⁾ * (3h)²

Hence , the correct expression for the third term of the expansion of (2g + 3h) is ((n * (n - 1)) / 2) * (2g)^(n - 2) * (3h)², where n is the exponent in the binomial expansion.

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Answer:

rabbit predators >:)

Step-by-step explanation:

The correct option D: the origin, has the symmetry of the volume of sphere for the graph of the function rule.

For the stated question.

The volume of the sphere is modeled by the power function with respect to the radius as;

V = f(r) = 4/3πr³

As, r is independent of any of the coordinate axis.

Thus, the function rule's graph, which describes the volume of the sphere, is symmetric with regard to the origin.

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Answer:

d

Step-by-step explanation:

x²-6x+3x-18=0

x(x-6)+3(x-6)=0

(x+3)(x-6)=0

x=-3 or 6

We want to compare two numbers. 5/10 and 5/8.

To compare those numbers, first, let's simplify them. If we multiply or divide both numerator and denominator by the same number, the fraction stays the same.

If we divide both numerator and denominator of the first fraction by 5, we're going to get the following result

We can also use the following property

To rewrite our second fraction as two fractions.

Dividing both numerator and denominator of the first term by 4, we have

As you can see, 5/8 is equal to 5/10 plus a positive number, therefore, 5/8 must be greater than 5/10.

The sample space for the two mornings at the stop light would be D. {red/red, red/yellow, red/green, yellow/red, yellow/yellow, yellow/green, green/red, green/yellow, green/green}.

In probability theory, the sample space constitutes the collection of all potential results that could ensue from an experiment. Symbolized by S, it encompasses every plausible outcome that can arise when such a test is conducted.

The sample space would therefore be :
{red/red, red/yellow, red/green, yellow/red, yellow/yellow, yellow/green, green/red, green/yellow, green/green}

This includes all the possible lights that could be seen on the two mornings by Julie.

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Answer:

0.01

Step-by-step explanation:

We are given;

Population mean; μ = $325,000

Sample size; n = 100

We are told that the sample mean is within $10,000 of the population mean.

Thus; if sample mean is x¯, then;

x¯ - μ = 10000

x¯ - 325000 = 10000

x¯ = 335000

Now population standard deviation is gotten from;

σ = √((x¯ - μ)²/n)

σ = √(10000²/100)

σ = 1000

In expected value probability problems, standard deviation is expressed as;

σ = √((x¯ - μ)²P(x))

Where P(x) is the probability.

Thus;

1000² = 10000² × P(x)

P(x) = 1000²/10000²

P(x) = 0.01

Part 1: Finding slope

The slope is \(\frac{-3-15}{5-(-10)}=\frac{-18}{15}=\boxed{-\frac{6}{5}}\)

Part 2: Finding the equation

Using the point (-10, 15) to substitute into point-slope form,

\(y-15=-\frac{6}{5}(x+10)\\\\y-15=-\frac{6}{5}x-12\\\\\boxed{y=-\frac{6}{5}x+3}\)

Answer:

Using the given points we find that the slope is -1.2 and using the slope-point form we find that the equation of line is y+1.2x = 3.

Step-by-step explanation:

In the question, two points are given, (5,-3) and (-10,15). Using them we can find the slope using the formula, (y2 - y1) / (x2 - x1). So, the slope is

(-3-15) / (5+10) = -18 / 15 = -1.2

Now, we have to find the equation of line. We have two points and a slope. Using any one point and the slope, we can find the equation of line using slope-point form of line. Let us take (5,-3).

(y+3) / (x-5) = -1.2

y+3 = -1.2(x-5)

y+3 = -1.2x + 6

y+1.2x = 3

So, the slope of line is -1.2 and the equation of line is y+1.2x = 3.

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Linear function: 1% interest represents a fixed amount added each year. $10 added every month represents a fixed amount added each time.

What is the difference between a linear and an exponential function?

A linear function is a mathematical function that has a constant rate of change and produces a straight line when graphed, while an exponential function is a mathematical function that has a constant growth rate and produces a curved line when graphed.

What are some real-world examples of exponential functions?

Some real-world examples of exponential functions include population growth, compound interest on a savings account, and the spread of infectious diseases.

Linear function: 1% interest represents a fixed amount added each year. $10 added every month represents a fixed amount added each time. No interest represents a constant amount over time. Exponential function: 6% interest represents a growth rate proportional to the current value.

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Answer:

0.75 or 3/4

Step-by-step explanation:

The sum of 1/2 and 1/2 is 1. (1/2 + 1/2 = 1)

The product of 1/2 and 1/2 is (1*1)/(2*2) = 1/4.

If you subtract 1/4 from 1, you get 3/4.

The difference between the sum of 1/2 and 1/2 and the product of 1/2 and 1/2 will be 3/4.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The difference between the sum of 1/2 and 1/2 and the product of 1/2 and 1/2 will be given as,

⇒ (1/2 + 1/2) - [(1/2)(1/2)]

⇒ 1 - 1 / 4

⇒ (4 - 1) / 4

⇒ 3 / 4

The difference between the sum of 1/2 and 1/2 and the product of 1/2 and 1/2 will be 3/4.

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For the coin: 2 possibilities, either head or tail. So probability of head is 1/2.

For the cube (assuming numbers are 1 to 6): 6 possibilities (1 2 3 4 5 6). We have 3 odd numbers, so probability of odd number is 3/6=1/2.

You want both head and an odd number, so you multiply the 2 probabilities: 1/2×1/2=1/4.

So the answer is 1/4.

You can use a tree to better understand probabilities.

The equations that has the solution x = all real numbers is 5(3x)+ 7x = 3x + 15 - x and 5(3x) + 7x = 3x + 10 - x,

Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For instance, the two equations 3x + 5 and 14, which are separated by the 'equal' sign, make up the equation 3x + 5 = 14.

A formula that expresses the connection between two expressions on each side of a sign. Typically, it has a single variable and an equal sign.

Here given equations,

5(3x) + 6x = 3x + 15 + 2x

15x + 6x = 3x + 15 + 2x

15 x + 6x - 3x -2x = 15

16 x = 15

x = 15/16

5(3x).+ 7x = 3x + 15 - x

15 x + 7x = 3x + 15 - x

15 x + 7x - 3x + x = 15

22x - 3x + x = 15

20 x = 15

x = 15/20

x = 3/4

5(3x) + 7x = 3x + 10 - x

15x + 7x - 3x + x = 10

20x = 10

x = 10/20

x = 1/2

5(3x) + 7x = x + 15 - 3x

15x +7x - x + 3x = 15

24x = 15

x = 15/24

x = 5/8

Therefore the equations that has the solution x = all real numbers are :

5(3x).+ 7x = 3x + 15 - x and 5(3x) + 7x = 3x + 10 - x .

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Assuming there can only be 2 cookies per identical package, She can make 42 identical packages which contains 2 chocolate chip cookies and 1 sugar cookie.

86 / 2 = 43 chocolate chips cookies

42 / 1 = 42 sugar cookies

With the sugar cookies not having the capability to match the requirements we will assume for this answer that an "Identical Package" is composed of 2 chocolate chip cookies, and a single sugar cookie.

Answer:

40

Step-by-step explanation:

Data set:

{57, 54, 63, 65, 59, 64, 48, 65, 49, 55, 47, 53, 68, 60, 40, 57}

Step 1. Rearrange the data set from smallest to largest

{40, 47, 48, 48, 49, 53, 54, 55, 57, 57, 59, 60, 63, 64, 65, 68}

Step 2. Find the outliers (a value in a data set that is very different from the other values)

Answer: 40

Explanation:

40 is the only number apart and away out of all of the other numbers

Line segments of the same length are known as congruent segments. Congruent refers to equality. The standard method for identifying congruent line segments is to draw the same number of tiny, perpendicular tic lines in the centre of each section.

create a line segment that has the same length as a supplied line segment

Step 1. Draw a line with a point A on it.

Step 2: Measure AB using the compasses.

Step 3: Place the needle at A and draw an arc-cutting line at B without moving the opening.

Step 4: Reset the compasses and gauge the length of the BC line section.

A congruent line segment is any section of a line that has identical length. For instance, since each of an equilateral triangle's sides have the same length, they are referred to as congruent line segments.

Make a mark at the new angle's vertex, and then draw a line radiating outward from there. Place the compass at the angle's vertex and draw an arc between the two lines. Then, carry out this procedure once again to produce an arc for the corresponding angle.

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Answer:

14 INCHES

Step-by-step explanation:

THATS A RIGHT ANSWER

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The volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.

To find the volume of the container, we need to multiply its length, width, and height. Let's convert the given measurements to meters to ensure consistent units.

The length of the container is 2.76 meters.

The width of the container is 23.5 decimeters, which is equal to 2.35 meters (since 1 decimeter = 0.1 meters).

The height of the container is 196 centimeters, which is equal to 1.96 meters (since 1 meter = 100 centimeters).

Now we can calculate the volume of the container:

Volume = Length × Width × Height

Volume = 2.76 meters × 2.35 meters × 1.96 meters

Volume ≈ 12.9516 cubic meters (rounded to four decimal places)

Therefore, the volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.

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One possible actual distance is 157.75 kilometers, which is just slightly less than the given distance rounded to the nearest tenth.

Since the given number of kilometers, 157.8, is rounded to the nearest tenth, we know that the actual distance traveled could be anywhere between 157.75 and 157.85 kilometers. Therefore, three possible actual distances that Tyler could have traveled are:

1. 157.75 kilometers

2. 157.80 kilometers (the given distance rounded to the nearest tenth)

3. 157.85 kilometers

I would choose 157.75 kilometers as one of the possible actual distances that Tyler could have traveled. This is because when we round to the nearest tenth, we round up if the next digit is 5 or greater, and round down if the next digit is 4 or less. Since the tenths digit is 8, which is greater than 5, we know that the actual distance traveled is closer to 157.8 than to 157.7.

Therefore, one possible actual distance is 157.75 kilometers, which is just slightly less than the given distance rounded to the nearest tenth.

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Answer:

θ = πk, 1.318+2πk, 4.965+2πk

Step-by-step explanation:

4sin(2θ) − 2sin(θ) = 0

8sin(θ)cos(θ) - 2sin(θ) = 0

2sin(θ)[4cos(θ)-1] = 0

2sin(θ) = 0

sin(θ) = 0

θ = πk

4cos(θ)-1 = 0

4cos(θ) = 1

cos(θ) = 1/4

θ ≈ 1.318+2πk, 4.965+2πk

Therefore, θ = πk, 1.318+2πk, 4.965+2πk

Answer:

Step-by-step explanation:

Given the expression (2x⁴ – 3x² + 7x - 3) ÷ (x² - 2x + 1), we are to use the long division method as shown in the attachment below.

The quotient on dividing is 2x²+x-3

The quotient when (2x⁴ – 3x² – 3x² + 7x - 3) is divided by (x² - 2x + 1) is 2x² + x – 3

Quotient is the result obtained when division operation is carried out.

For example when 6 is divided by 2, the result obtained is 3. Thus, the quotient is 3

To determine the quotient when (2x⁴ – 3x² – 3x² + 7x - 3) is divided by (x² - 2x + 1), we'll apply the long division method as shown below:

               2x² + x – 3        

x² - 2x + 1|2x⁴ – 3x² – 3x² + 7x - 3

               –(2x⁴ – 2x³ + 2x²)

                 x³ – 5x² + 7x – 3

               –(x³ – 2x² + x)

                –3x² + 6x – 3

              –(3x² + 6x – 3)

                         0

Thus, the quotient is 2x² + x – 3

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Answer:

  (b)  3 units

Step-by-step explanation:

You want to know the length of OB' when OB = 3/4 and ∆ABC is dilated about point O by a factor of 4.

The dilation factor multiplies every length.

If OB is 3/4, then OB' is 4(3/4) = 3.

The length of OB' is 3 units.

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