A package of 8-count AA batteries costs $6.16. A package of 20-count AA batteries costs $15.60. Which statement about the unit prices is true?
•
The 8-count pack of AA batteries has a lower unit price of $0.77 per battery.
• The 20-count pack of AA batteries has a lower unit price of $0.77 per battery.
• The 8-count pack of AA batteries has a lower unit price of $0.78 per battery.
•
The 20-count pack of AA Datteries has a lower unit price of $0.78 per battery.

Answer:

3

Step-by-step explanation:

First right out all the data in numerical order from left to right.

2, 2, 2, 3, 4, 5, 7

The median is the middle number in the set.  If there is an even amount of data points, find the average of the two middle numbers.  If there is an odd number of data points, like in this data set, just take the middle number as you median.

There are 7 data points in this set so the fourth number in the set written in numerical order would be your median.

When writing this set out in numerical order, repeated numbers must be repeated, we find that the fourth, or middle, number is 3.  Therefore, 3 is the median of this data set.

Answer: 2 complex solutions; the discriminant is less than zero

Step-by-step explanation:

When the D<0 there are no real solutions because the quadratic does not intercept the x-axis on the graph.

The required amount of sweets Steve will get is 42.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

here,
Ali and Steve share some sweets in a ratio of 2:7 Steve gets 30 more sweets than Ali.

Let the amount of sweet Ali and steve be x and y,
According to the question,
x / y = 2/7

x = 2y/7 - - - - (1)

And

y = 30 + x

From equation 1
y = 30 + 2y / 7
5y = 30 × 7
y = 42

Now,
x = 2 × 42 /7
x = 12

Thus, the required amount of sweets Steve will get is 42.

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So, Lana gave away 26.32% of he Pokemon cards  to her little brother.

To find the percentage of cards Lana gave away, we can use the formula:(Quantity given away / Total quantity) * 100.

In this case, Lana gave away 125 cards out of her total collection of 475 cards.Plugging these values into the formula, we have:

(125 / 475) * 100 = 0.2632 * 100 = 26.32%.

Lana gave away 26.32% of her Pokemon cards to her little brother.

Alternatively, we can calculate the percentage by subtracting the remaining cards from the total and finding the ratio:

Percentage given away

= (Cards given away / Total cards) * 100

= (125 / 475) * 100

= 26.32%.

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We are given the following information

Line AC and EG are perpendicular.

Angle FBC is the complement of the angle ABD.

Angle FBC = (x + 4)°

Angle ABD = (5x - 10)°

We are asked to find the angle EBF.

Recall that when two angles are complementary then they add up to 90°

So we can write

Let us substitute the given values and solve for x.

So the angle FBC is

Since we know that lines AC and EG are perpendicular so the angle FBC and angle EBF must add up to 90°

Therefore, the angle EBF is 70°.

To find out how far a car will travel (in feet) before a driver reacts to an obstacle, given that the car is moving at 34 miles per hour in a residential neighborhood, we need to convert the speed of the car from miles per hour to feet per second. This can be done using the conversion factor that 1 mile per hour is equal to 1.46667 feet per second. Therefore, 34 miles per hour is equal to 34 x 1.46667 = 49.86678 feet per second.

We know that the average reaction time of the driver is 1.2 seconds, and we can use the following formula to calculate the distance traveled by the car before the driver reacts to the obstacle:

d = v x t

where d is the distance, v is the velocity, and t is the time taken. Using the formula above, we can calculate the distance traveled by the car before the driver reacts to the obstacle as:

d = 49.86678 x 1.2 = 59.84014 feet

Therefore, the car will travel 59.84014 feet before a driver reacts to an obstacle.

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Answer:

31: 98,765 x 9 + 3 = 888,888

32: 12.345 x 9 + 6 = 111,111

33: 3,367 x 15 = 50,505

34: 15,873 x 35 = 555,555

35: 33,334 x 33,334 = 1,111,155,556

36: 11,111 x 11,111 = 123,454,321

You skipped 37-39

40: 3 + 9 + 27 + 81 + 243 = 3(243-1)/2

41: 1/2 + 1/4 + 1/8 + 1/16 + 1/32 = 1 - 1/32

Step-by-step explanation:

It's just patterns bro

To graph the function y = ln(x), we can plot several points and observe its behavior.

Here are some points we can use to sketch the graph:

(x, y)

(0.1, -2.302)

(0.5, -0.693)

(1, 0)

(2, 0.693)

(10, 2.302)

Now, let's plot these points and connect them to form the graph of y = ln(x):

The graph of y = ln(x) is a curve that starts from the point (1, 0) and approaches infinity as x approaches infinity. It never touches or crosses the x-axis and has a vertical asymptote at x = 0.

i) The domain of the function y = ln(x) is the set of positive real numbers, (0, +∞), as the natural logarithm is defined only for positive numbers.

ii) The range of the function y = ln(x) is the set of all real numbers, (-∞, +∞), as the natural logarithm takes on all possible values.

iii) The function value at x = 0 is undefined, as the natural logarithm is not defined for x ≤ 0.

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Answer:

y = -1/4x

Step-by-step explanation:

If two lines are parallel to each other, they have the same slope.

The first line is y = -1/4x - 2. Its slope is -1/4. A line parallel to this one will also have a slope of -1/4.

Plug this value (-1/4) into your standard point-slope equation of y = mx + b.

y = -1/4x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (8, -2). Plug in the x and y values into the x and y of the standard equation.

-2 = -1/4(8) + b

To find b, multiply the slope and the input of x (8)

-2 = -2 + b

Now, add 2 to both sides to isolate b.

0 = b

Plug this into your standard equation.

y = -1/4x

This equation is parallel to your given equation (y = -1/4x - 2) and contains point (8, -2)

Hope this helps!

Answer:

x = 40 y = 140

Step-by-step explanation:

The angles on the same side of the isoceles trapezoid are equal and the opposite sides are supplementary to the other angles.

Answer:

what would you like?

More information needs to be provided.

Answer:

x+11.5

Step-by-step explanation:

4x² +7x-2=0

16x+7x-2=0

23x-2=0

      +2  +2

23x=2

23x/2

x= 11.5

I hope these help.

Answer:false

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step one:

given data

charges=$90

installation=$9 per square yard

total cost of installation= $810

let x represents the number of square feet

Step two:

The expression for the installation cost is given as

810=9x+90------------1

solve for x, collect like terms

810-90=9x

720=9x

divide both sides by 9 we have

x=720/9

x=11.11 square yard

Answer:

$9.95

Step-by-step explanation:

Answer:

its 9.955

Step-by-step explanation:

39.82÷4

by calculator

The graph of f(x) consists of four line segments that can be represented by four equations, each describing a different section of the graph. Let's call these equations f1(x), f2(x), f3(x), and f4(x). To find g(x), we need to integrate f(t) with respect to t from some lower limit a to x, where a is the left endpoint of the interval on which f(x) is defined.

For example, suppose that f(x) is defined on the interval [0, 4] and is given by the following equations:

f1(x) = 0 for 0 ≤ x < 1
f2(x) = 2x - 2 for 1 ≤ x < 2
f3(x) = -2x + 6 for 2 ≤ x < 3
f4(x) = 0 for 3 ≤ x ≤ 4

Then, g(x) = x - 4f(t)dt for a = 0 and x between 0 and 4. We can break this integral into four parts corresponding to each of the line segments in f(x). For example, to find the first part of g(x), we integrate f1(t) from 0 to x:

g1(x) = x - 4(∫₀ˣ 0 dt) = x

Similarly, we can find the other parts of g(x) by integrating the corresponding line segments:

g2(x) = x - 4(∫₁ˣ (2t - 2) dt) = x² - 8x + 12
g3(x) = x - 4(∫₂ˣ (-2t + 6) dt) = -x² + 10x - 20
g4(x) = x - 4(∫₃ˣ 0 dt) = x

So, the function g(x) is a piecewise-defined function consisting of four different quadratic equations. It requires breaking down the problem into different parts, describing the equations for each section of the graph, and then finding the integral for each part to determine the function g(x).

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Answer:

This is not a function

Domain: -7, -6, -4, -8

Range: -8, -6, 5, 4

Step-by-step explanation:

This is not a function because one x-values repeats, -8. The x-value is the first value in a relation. Relations are written as (x,y)

Domain is the x-values in a relation. When writing the domain, make sure not to include repeats. In this case, the domain is -7, -6, -4, -8.

Range is the y-values in a relation. Also, don't repeat when writing range. The range of this function is -8, -6, 5, 4

-Chetan K

Answer:

A) 0.421

Step-by-step explanation:

\(\frac{59}{59+68+12+1} =\frac{59}{140}\)

\(Answer:0.421\)

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

hope it helps...

have a great day!!

Answer:

69420

Step-by-step explanation:

Xr mom nerd

Answer:

its 270

Step-by-step explanation:

its the right answer I think it was on IXL

The ordered pair (2, 2) and (3,1) is in the solution set of the inequality 12x - 28y < 56.

Let's consider the ordered pair (3, 1). To check whether this ordered pair is in the solution set of the inequality, we need to substitute x = 3 and y = 1 into the inequality as follows:

12(3) - 28(1) < 56

Simplifying this expression, we get:

36 - 28 < 56

8 < 56

This is a true statement, which means that the ordered pair (3, 1) is in the solution set of the inequality 12x - 28y < 56.

Now, let's consider another ordered pair, say (2, 2). To check whether this ordered pair is in the solution set of the inequality, we need to substitute x = 2 and y = 2 into the inequality as follows:

12(2) - 28(2) < 56

Simplifying this expression, we get:

24 - 56 < 56

-32 < 56

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Basically we need to find the line equation. So let's take two pair of points and find the slope m:

Therefore:

Now, let's use the slope point equation:

Answer:

(0, 2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y = x + 2

3x + 3y = 6

Step 2: Solve for x

Substitution

Step 3: Solve for y

Answer:

(0, 2)

Step-by-step explanation:

Since y is x + 2, we can replace y with x + 2

3x + 3y = 6

3x + 3(x+2) = 6

3x + 3x + 6 = 6

6x + 6 = 6

6x = 0

x = 0

y = x + 2

y = 2

Now we can check by replacing x with 0

3x + 3y = 6

3(0) + 3y = 6

0 + 3y = 6

3y = 6

y = 2

The given integral is: ∫∫R 5/√(2) xy dA, where R is the region in the xy-plane bounded by the curves y = 0, x = √(25 - y^2) and x = 0. The volume of the solid is (5^5/8) cubic units.

Converting to polar coordinates, we have:

x = r cos(θ), y = r sin(θ), and the limits of integration become:

0 ≤ θ ≤ π/2, 0 ≤ r ≤ 5.

Also, the differential of area becomes dA = r dr dθ.

Substituting for x and y, and dA, we have:

∫∫R 5/√(2) xy dA = ∫θ=0π/2 ∫r=0^5 5/√(2) (r cos(θ)) (r sin(θ)) r dr dθ

= 5/√(2) ∫θ=0π/2 ∫r=0^5 r^3 cos(θ) sin(θ) dr dθ

= 5/√(2) ∫θ=0π/2 [sin(θ)/4] ∫r=0^5 r^4 cos(θ) dr dθ

= 5/√(2) ∫θ=0π/2 [sin(θ)/4] [(5^5 cos(θ))/5] dθ

= (5^5/4√(2)) ∫θ=0π/2 sin(θ) cos(θ) dθ

= (5^5/8)

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Answer:

D) x to the power of 3 negetive five )

Answer: We can use the trigonometric ratios of a 30-60-90-degree triangle to find the length of side x. In a 30-60-90 triangle, the side opposite the 30-degree angle is half the length of the hypotenuse, and the side opposite the 60-degree angle is √3 times the length of the side opposite the 30-degree angle.

Let's call the length of the hypotenuse h. Then, the length of the side opposite the 30-degree angle is h/2, and the length of the side opposite the 60-degree angle is (h/2)√3.

Using this information, we can set up the following equation:

(h/2)√3 = 9

Solving for h, we get:

h = 18/√3

To find the length of side x, we need to use the trigonometric ratio for the sine of the 60-degree angle:

sin(60°) = opposite/hypotenuse

sin(60°) = x/(h/2)

Substituting h = 18/√3, we get:

sin(60°) = x/((18/√3)/2)

Simplifying, we get:

sin(60°) = x/(9/√3)

√3/2 = x/(9/√3)

Multiplying both sides by 9/√3, we get:

x = (9/√3) * (√3/2)

Simplifying, we get:

x = (9/2)√3

Therefore, the length of side x is (9/2)√3 with a rational denominator.

Step-by-step explanation:

Complex numbers are represented on a cartesian coordinate system with a horizontal real axis and a vertical imaginary axis.

Any number that can be expressed as a+bi, where i is the imaginary unit and a and b are the real numbers, is a complex number. The number is made up of two parts: real part (a) and imaginary part (b).

Just like we can use the number line to visualize a set of real numbers, we can use the complex plane to visualize a set of complex numbers. The complex plane consists of two number lines intersecting at a right angle at the point (0,0)(0,0)left parenthesis, 0, comma, 0, right parenthesis.

The horizontal number line (what we know as the xxx-axis on a Cartesian plane) is the real axis. The imaginary axis is the vertical number line (the yyy-axis on a Cartesian plane).A point in the complex plane can represent every complex number.

For example, consider the number 3-5i3−5i3, minus 5, i. This number, also expressed as 3+(-5)i, has a real part of 3 and imaginary part of -5. The location of this number on the complex plane is the point that corresponds to 3 on the real axis and -5 on the imaginary axis.

So the number 3+(-5) corresponds with the point (3,-5). In the general complex number, a+bi corresponds to the complex plane's point(a,b).

Hence, complex numbers are represented on a cartesian coordinate system with a real horizontal axis and an imaginary vertical axis.

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The regression analysis evaluates the amount of relationship that exists

between the variables in the analysis.

Reasons:

First part;

The given data is presented as follows;

\(\begin{tabular}{|cc|c|}Lemon Imports (x) &&Crash Fatality Rate\\232&&16\\268&&15.7\\361&&15.4\\472&&15.5\\535&&15\end{array}\right]\)

The least squares regression equation is; \(\overline y = b \cdot \overline x + c\)

Where;

\(b = \mathbf{\dfrac{\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) }{\sum \left(x_i - \bar x\right )^2 }}\)

\(\overline y\) = The mean crash fatality = 15.52

\(\overline x\) = The mean lemon import = 373.6

Therefore;

\(b = \dfrac{-171.36 }{67093.2 } = -0.00255\)

c = \(\overline y\) - b·\(\overline x\) = 15.52 - (-0.00255)×373.6 = 16.47268

Therefore;

Second part;

When the imports is 425 metric tons of lemon, we have;

\(\overline y\) = -0.00255 × 425 + 16.47268 = 15.38893 ≈ 15.4

Therefore;

When the import is 425 metric tons, the Crash Fatality Rate ≈ 15.4

Given that the predicted value is between the values for 268 and 535, we

have that the prediction is approximately correct or worthwhile

The prediction is worthwhile

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Answer:

n is 10 if that's what your asking

Answer:

n=10

Step-by-step explanation:

if you multiply 3.687 by ten, it carries the decimal place over making 36.87, so ten is the answer

H0: p1 ≥ p2 (Null hypothesis: Proportion of ADHD-diagnosed students in School A is equal to or greater than in School B)

Null Hypothesis: The proportion of students diagnosed with ADHD in School A is equal to or greater than the proportion of students diagnosed with ADHD in School B.

Symbolically, the null hypothesis can be stated as:

H0: p1 ≥ p2

Where:

H0: Null Hypothesis

p1: Proportion of students diagnosed with ADHD in School A

p2: Proportion of students diagnosed with ADHD in School B

In other words, the null hypothesis assumes that there is no significant difference or that School A may have an equal or higher proportion of students diagnosed with ADHD compared to School B.

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