Gift boxes at Walgreens are sold in packs of 8, and cost $6.00. At CVS, the price for a 10 pack of gift boxes is $9.00. Determine which store offers a better bargain based on the price per box. Type the name of the store on the line.

Answer:

33

Step-by-step explanation:

because 18 divided by 6 is 3

and 11 times 3 is 33

Answer: 1. 33

Step-by-step explanation:

I say 33 because the short side on the one is 6 and is 18 on the other so they multiply by 3. That being said 11 times 3 is 33. I hope this helps! :)

Answer:

ƒ(g(x)) = 18x - 8

Step-by-step explanation:

We're looking for the composition of f and g, in which function g is the input to function f.  Literally replace "x: in f(x) with g(x) = 6x - 5:

ƒ(g(x)) = 3(6x - 5) + 7, or, after simplification,

ƒ(g(x)) = 18x - 15 + 7, or 18x - 8

Let's solve your equation step-by-step.

−8(z+4)=−7(z+−4)+−3

Step 1: Simplify both sides of the equation.

-8z-32=-7z+25

Step 2: Add 7z to both sides.

-z-32=25

Step 3: Add 32 to both sides.

-z=57

Answer:-57

Step-by-step explanation:

-8(z+4) = -7(z+-4)+-3

-8z-32= -7z+28-3

-8z-32=-7z+25

-57=z

Answer:

A) 154.5

B) 86.15

C) 198.2

Step-by-step explanation:

a. 90 x $1.45= 130.5

8 hours x $3= 24

b. 47 x $1.45= 68.15

6 hours x $3= 18

c. 116 x $1.45= 168.2

10 hours x $3= 30

Answer:

( 3 +4)² = 7² = 49

Hope this helps.

Answer:

49

Step-by-step explanation:

Follow the PEMDAS rule.

P- Parenthesis

E- Exponents

M- Multiplication

D- Division

A-Addition

S-Subtraction

Following this rule, you would add 3+4, which gets you 7.

Then, you would multiply 7 by 7, as that is what the exponent, two suggests

7x7 = 49.

thus,

(3 + 4)² = 49

The distance between the lower whisker and the minimum value and the distance between the upper whisker and the maximum value indicate the range of the leg lengths of the insects in millimeters.

A box plot, also known as a box-and-whisker plot, is a graphical representation of a dataset that displays the distribution of a continuous variable. It shows the minimum and maximum values, the first and third quartiles, and the median of the data. The length of the box in a box plot represents the interquartile range (IQR), which is the range between the first and third quartiles. The whiskers extend from the box to show the range of the data, excluding outliers.
In the context of the question, the box plot displays the leg lengths, in millimeters, of a sample of insects. To determine the range of lengths of the insects, we need to examine the whiskers of the box plot. The whiskers extend from the box to the minimum and maximum values of the dataset, and their length represents the range of the data.
Therefore, to answer the question, we need to look at the length of the whiskers in the box plot.
In conclusion, the range of lengths of the insects can be determined by looking at the length of the whiskers in the box plot. The answer will depend on the specific values displayed in the plot.

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The factored form of the polynomial is x³( x + 2 ) - 1 ( 2x + 1 ).

A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.

Given that the polynomial is (x⁴)+(2x³)-2x-1. The expression will be factorized as below:-

E =  (x⁴)+(2x³)-2x-1.

E = x² ( x² + 2 ) -1 ( 2x + 1 )

Hence, the factorized form of the polynomial is x² ( x² + 2 ) -1 ( 2x + 1 ).

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Answer:

y= -x-1

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Answer: 1/2

Step-by-step explanation:

The reason that the odds are 1/2 is because,

There are 52 cards

26 are red

26 are black

you have a 1/2 chance of pulling a red or black from the deck because half of the cards are red and the other half is black

Answer:

it is D

Step-by-step explanation:

there are an equal amount of red and black cards

A ray has only one endpoint. A segment has two endpoints.

What is a line?

A line is an object in geometry that is infinitely long and has neither width nor depth nor curvature. Since lines can exist in two, three, or higher-dimensional spaces, they are one-dimensional objects. In everyday language, a line segment with two points designating its ends is also referred to as a "line."

A ray and a segment are parts of a line.

This line segment has two fixed-length endpoints, A and B. The distance between this line segment's endpoints A and B is its length.

In other words, a line segment is a section or element of a line with two endpoints. A line segment, in contrast to a line, has a known length.

A line segment's length can be calculated using either metric units like millimeters or centimeters or conventional units like feet or inches.

Ray has only one endpoint and the other ends go infinity.

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The function is to describe the sequence and the amount of gasoline used on the eighth day of his trip will be y = 0.75n and 6 L respectively. Option B is correct.

Each consecutive term in an arithmetic sequence has a common constant difference.

The sequence of the  liters of gasoline on each day is;

0.75,1.5,2.25,3

The given series is an arithmetic series with a common difference of 0.75

Common difference,d=0.75

First-term,a=0.75

The amount of gasoline used on the eighth day of his trip.

The nth term of the arithmetic sequence is;

\(\rm a_n = a+(n-1)d \\\\ \rm a_8 = 0.75+(8-1)0.75 \\\\ a_8 = 6\)

The 8th term of the arithmetic sequence is 6L.

The function is to describe the sequence and the amount of gasoline used on the eighth day of his trip will be y = 0.75n and  6 L.

Hence, option B is correct.

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The expression (8^(5))/(8^(-9)) is simplified to 8^14. Option 3

Index form of a number can simply be described as that number written in the form of an exponential expression.

The number can also be written as a single number which is raised to another number.

Some rules of indices to note;

Given that;

(8^(5))/(8^(-9))

Then, we have;

8^5-(-9)

8^5+9

Add the powers

8^14

Hence, the value is 8^14

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Answer:

8

one fourth

2

4

Step-by-step explanation:

hope with helped ^^

Answer: See explanation

Step-by-step explanation:

15.) -7x + 6 (x - 8/2) - 2(x + 3) + 10

-7x + 6 (x - 4) - 2(x + 3) + 10

-7x + 6x - 24 - 2x - 6 + 10

Bring like terms together

-7x + 6x - 2x - 24 - 6 + 10

-3x - 20

16.) B, C, D

B. 3 (x + 2) + 4x

3x + 6 + 4x = 7x + 6

C. -2 + 4(x + 3)

-2 + 4x + 12 = 4x + 10

D. 3x + 5(x - 1)

3x + 5x - 5

8x - 5

17.) A, B, D

A. 1/5(x - 50)

1/5x - 10

B. 1/6(-x + 12)

-1/6x + 2

D. 1/2(x + 16)

1/2x + 8

Based on the fact that the opposite sides are parallel and the diagonals are congruent, we can conclude that the parallelogram formed by the given vertices O, A, B, and C is indeed a rectangle.

To determine whether the parallelogram formed by the vertices O(0, 0), A(-4, 1), B(-3, 5), and C(1, 4) is a rectangle, we need to consider the properties of a rectangle.

A rectangle is a quadrilateral with four right angles (90 degrees each). We can examine the properties of the given parallelogram to determine if it satisfies these conditions.

First, we can calculate the slopes of the opposite sides of the parallelogram.

The slope of a line passing through two points (x1, y1) and (x2, y2) is given by:

slope = (y2 - y1) / (x2 - x1)

Using this formula, we can calculate the slopes of AB and OC:

Slope of AB = (5 - 1) / (-3 - (-4)) = 4/1 = 4

Slope of OC = (4 - 0) / (1 - 0) = 4/1 = 4  

Since the slopes of the opposite sides AB and OC are equal, we can conclude that AB and OC are parallel.

Next, we can calculate the slopes of the other pair of opposite sides OA and BC:

Slope of OA = (1 - 0) / (-4 - 0) = 1/-4 = -1/4

Slope of BC = (4 - 5) / (1 - (-3)) = -1/4

Again, we find that the slopes of OA and BC are equal, meaning that OA and BC are parallel.

Since both pairs of opposite sides are parallel, this parallelogram satisfies one of the properties of a rectangle.

However, to confirm if it is indeed a rectangle, we also need to check if the diagonals are congruent (equal in length).

Let's calculate the lengths of the diagonals:

Length of diagonal \(AC = \sqrt{((1 - 0)^2 + (4 - 0)^2) }\)

\(= \sqrt{(1^2 + 4^2) }\)

= √17

Length of diagonal \(OB = \sqrt{((-3 - (-4))^2 + (5 - 1)^2) }\)

\(= \sqrt{(1^2 + 4^2) }\)

= √17.

Since the lengths of both diagonals AC and OB are equal, the parallelogram satisfies this additional property of a rectangle.

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Answer:

3

Step-by-step explanation:

g(x) = f(x) + k, is true for all values of x.

At x = 0, f(x) = 2

At x = 0, g(x) = 5

Therefore, at x = 0

=> g(x) = f(x) + k

=> 5 = 2 + k

=> 3 = k

Since, the given relation is true for all real values of x, k is independent of x. Thus k = 3, for every value of x

To find the surface area of the figure, we need to consider the individual surfaces and add them together.

First, let's identify the surfaces of the figure:

The lateral surface area of the larger prism (excluding the base)

The two bases of the larger prism

The lateral surface area of the smaller prism (excluding the base)

The two bases of the smaller prism

The lateral surface area of a prism is given by the formula: perimeter of the base multiplied by the height.

The bases of the prisms are rectangles, so their areas can be calculated by multiplying the length by the width.

To find the missing prism's surface area, we need to consider that it is a smaller prism nested inside the larger prism. The lateral surface area and bases of the missing prism should also be included.

Once we have calculated the individual surface areas, we add them together to find the total surface area of the figure.

Without specific measurements or dimensions of the figure, it is not possible to provide a numerical answer. Please provide the necessary measurements or dimensions to calculate the surface area.

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Function Composition exists when two functions f(x) and g(x) result in another function h(x), such that h(x) = f(g(x)). For function composition h(x) =  f(g(x)), the value of a exist -4.

Function Composition exists when two functions f(x) and g(x) result in another function h(x), such that h(x) = f(g(x)). In other words, put the outcome of one function into the other one.

Here, h(x) = f(g(x))

which means, h(x) = f(x³+ a)

\($h(x) = \sqrt{x^3+a+2}\)

\($\sqrt{x^3-2} = \sqrt{x^3+a+2}\)

To estimate the value of a, we separate equal terms:

1) Both are squared, so we can "eliminate" the square;

2) x³ = x³

3) -2 = a+2

a = -4

For function composition h(x) =  f(g(x)), the value of a exist -4.

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Where the function f is discontinuous  and continuous  is  mathematically given as

Generally, the equation for is  mathematically given as

Since x+1, 1/x, and (x-5), the function does not "break" since these three terms are continuous. at

According to the dictionary definition of continuity, the function f(x) is continuous at x = a if:

lim (x->a-) f(x) = lim (x->a+) f(x) = f(a).

for x = 0

lim (x->0-) f(x)

= lim (x->0-) (x+1),

since f(x) = x+1 for \(x \leq 1\)

f(x<=1) = 1 + 0

f(x<=1)= 1

lim (x->0+) f(x)= lim (x-->0+) ( √(x-5) ), since f(x)

lim (x->0+) f(x)= √(x-5 for x>=5

lim (x->0+) f(x)= 5

In conclusion,

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Complete Question

Find the numbers at which f is discontinuous. Then determine whether f is continuous from the right, from the left, or neither at each point of discontinuity.

f(x)={ x+1 if x< 1

1/x if 1<x<5

√(x-5) if x> 5

The simplified product of (√6x² +4√8x³)(√9x-x√5x^5) is 3x√6x  + 24x^2√2 - x^4√30x - 8x^5√10

The product expression is given as:

(√6x² +4√8x³)(√9x-x√5x^5)

Evaluate the exponents

(√6x² +4√8x³)(√9x-x√5x^5) = (x√6 +8x√2x)(3√x - x^3√5x)

Expand the brackets

(√6x² +4√8x³)(√9x-x√5x^5) = x√6 * 3√x + 8x√2x * 3√x - x√6 * x^3√5x - 8x√2x * x^3√5x

This gives

(√6x² +4√8x³)(√9x-x√5x^5) = 3x√6x  + 24x^2√2 - x^4√30x - 8x^5√10

Hence, the simplified product of (√6x² +4√8x³)(√9x-x√5x^5) is 3x√6x  + 24x^2√2 - x^4√30x - 8x^5√10

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The critical value of t for testing the significance of each of the independent variable's coefficients will have 130 degrees of freedom.

This is because the degrees of freedom for a t-test in a regression model with 5 independent variables and 136 observations is calculated as (n - k - 1) where n is the number of observations and k is the number of independent variables.

Therefore, (136 - 5 - 1) = 130 degrees of freedom.

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Answer:

100

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

Okay so the first term in a sequence is the first number in a sequence, or a string of numbers that have a common difference( not just difference) . In your sequence, the first # is 100, meaning it is the first term.

Have a nice day!

The amount of hydrogen in 79.2 grams of water is 8.8 grams.

Given is that each gram of water contains 0.111 g of hydrogen.

1 gram of water contains 0.111 grams of hydrogen.

So, 79.2 grams of water will contain -

A{H₂} = 79.2 x 0.111 = 8.8 grams (approx.)

A{H₂} =  8.8 grams (approx.)

Therefore, the amount of hydrogen in 79.2 grams of water is 8.8 grams.

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The equation of this line in slope-intercept form is equal to y = -4x + 7.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

By making the variable "y" the subject of formula, we have the following:

4x + y = 7

y = -4x + 7

Therefore, the slope (m) is equal to -4.

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The expression equivalent to the statement raise p to the 7th power, then add q to the result is p⁷ + q

From the question, we have the following mathematical statement that can be used in our computation:

raise p to the 7th power, then add q to the result

When p is raised to the power of 7, we have the following representation

p⁷, then add q to the result

When q is added to p⁷ above, we have

p⁷ + q

Hence, the expression is p⁷ + q

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Answer:

5

Step-by-step explanation:

Answer:

IDK the other line.

Step-by-step explanation:

y=2x is a proportional relationship because it has a 1:2 ratio, where as the x increases by one point, the y value will constantly increase by 2 points.