Antonia bought a set of dishes, a towel, and a candle at a housewares store. The set of dishes cost $35.02, the towel cost $21.43, and the candle cost $9.59 before any coupons or discounts.

She used a $0.50-off coupon on the candle, a $2.75-off coupon on the towel, and the set of dishes was on sale for 10% off the regular price. Which of the following best describes the amounts that Antonia saved?

The boundaries of integration are 0 ≤ x ≤ √23, 0 ≤ y ≤ 2, 0 ≤ z ≤ 25 − x².

The volume of the solid in the first octant bounded by the parabolic cylinder z = 25 − x² and the plane y = 2 is calculated by evaluating a triple integral.

To find the volume, we integrate the region of interest over the given boundaries. In this case, the region lies in the first octant, where x, y, and z are all positive. The parabolic cylinder z = 25 − x² and the plane y = 2 intersect at a certain x-value. We need to find this intersection point to determine the boundaries of integration.

Setting the equations equal to each other, we have:

25 − x² = 2

Rearranging the equation, we find:

x² = 23

x = √23

Therefore, the boundaries of integration are:

0 ≤ x ≤ √23

0 ≤ y ≤ 2

0 ≤ z ≤ 25 − x²

The volume integral can be set up as follows:

V = ∫∫∫ E dV

where E represents the region of integration.

Evaluating the triple integral over the region E using the given boundaries, we find the volume of the solid in the first octant bounded by the parabolic cylinder and the plane y = 2.

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Answer:

C)

Step-by-step explanation:

1 ÷ 3 = 0.333333 + 2 = 2.333333333

Note: Hope this Helps!

-kiniwih426

Answer:

c

Step-by-step explanation:

2 1/3 is the same as 7/3 so if you divide that it's 2.33333...

Answer:

2 hours

Step-by-step explanation:

50 metres / 4 hours = 25 metres / x hours

cross multiply both sides

50x = 25(4)

50x = 100

divide 50 both side

x = 100/50

x = 2 hours

\(\sqrt[3]{2}+\sqrt[3]{4}\) is the root of the cubic polynomial  \(x^3-6 x-6\) .

A cubic function in mathematics is a function with the formula: f(x)=ax3+bx2+cx+d where the variable x has real values, the coefficients a, b, c, and d are complex integers, and a, a, and 0 are equal to zero. In other words, it is a real function as well as a polynomial function of degree three. The set of real numbers is specifically the domain and the codomain. All odd-degree polynomials have at least one real root, while cubic functions have one to three real roots (which may not be distinct).

A cubic function's graph always has one inflection point. It might have a local minimum and local maximum as its two essential points. A cubic function is monotonic if it is not.

Let  \(r=\sqrt[3]{2}+\sqrt[3]{4}\)

\(\text { Then, since }(a+b)^{\wedge} 3=a^{\wedge} 3+3 a^{\wedge} 2 b+3 a b^{\wedge} 2+b^{\wedge} 3=a^{\wedge} 3+3 a b *(a+b)+b^{\wedge} 3\)

\(\begin{aligned}\mathbf{r}^{\wedge} 3 &=\left(\frac{3}{2} \sqrt{2}+3 \cdot \sqrt[3]{2} \cdot \sqrt[3]{4} \cdot(\sqrt[3]{2}+\sqrt[3]{4})+(\sqrt[3]{4}) 3=\right.\\&=2+3 \cdot \sqrt[3]{8} \cdot(\sqrt{2}+\sqrt{4})+4=2+3 * 2 * r+4=6+6 r .\end{aligned}\)

\(\text { It means that } r=\sqrt[3]{2}+\sqrt[3]{4} \text { is the root to this equation }\)

\(r^3-6 r-6=0 .\)

Therefore, \(\sqrt[3]{2}+\sqrt[3]{4}\) is the root of the cubic polynomial  \(x^3-6 x-6\)

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Answer:230

Step-by-step explanation: 23x10 i got by drawing out 23 lines and count by 10

The intersection (B ∩ F) of sets B and F can be determined by finding the elements that are common to both sets. In this case, B = {2, 5, 7, 8, 9, 10} and F = {0}.

Upon comparing the two sets, we can see that the only common element between B and F is 0. Therefore, the intersection (B ∩ F) is {0}.

Set B contains the elements {2, 5, 7, 8, 9, 10}, and set F contains the element {0}. To find the intersection of these two sets, we need to identify the elements that appear in both sets. In this case, the only element that appears in both B and F is 0. Hence, the intersection (B ∩ F) is {0}.

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The elements in s such that |s| = 3 are {{2, 3, 4}, {2, 3, 5}, {2, 4, 5}, {3, 4, 5}}.

We would like to list all of the elements s = ({2, 3, 4, 5}) such that |s| = 3.

The answer can be represented as a set of sets.
Set A is said to be a subset of Set B if all the elements of Set A are also present in Set B. In other words, set A is contained inside Set B.
To find all possible subsets with 3 elements, you can combine the elements in the following manner:

1. {2, 3, 4}
2. {2, 3, 5}
3. {2, 4, 5}
4. {3, 4, 5}

Your answer is {{2, 3, 4}, {2, 3, 5}, {2, 4, 5}, {3, 4, 5}}.

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The interest rate for the savings account is 5% after 4 years, $20,000 deposited in a savings account with simple interest earned $800 in interest.

We can use the formula for simple interest to solve the problem:

Simple interest = (Principal * Rate * Time) / 100

where Principal is the initial amount deposited, Rate is the interest rate, and Time is the time period for which the interest is calculated.

We know that the Principal is $20,000 and the time period is 4 years. We are also given that the interest earned is $800. So we can plug in these values and solve for the interest rate:

$800 = (20,000 * Rate * 4) / 100

Multiplying both sides by 100 and dividing by 20,000 * 4, we get:

Rate = $800 / (20,000 * 4 / 100) = 0.05 or 5%

Therefore, the interest rate for the savings account is 5%.

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Answer: 30

Step-by-step explanation:

Answer: B

Step-by-step explanation:

The mean and median will be close or the same when the graph is symmetrical

The function that will return the value of x, rounded to the nearest whole number is option (c) round(x)

This function rounds the value of x to the nearest integer. For example, if x = 3.4, round(x) will return 3, and if x = 3.6, round(x) will return 4.

Option (a) abs(x) returns the absolute value of x, which means it returns the positive value of x regardless of its sign. For example, if x = -3, abs(x) will return 3.

Option (b) fmod(x) returns the remainder of x divided by another number, so it does not round x to the nearest whole number.

Option (d) whole(x) is not a standard math function, so it is unclear what it would do.

Option (e) sqrt(x) returns the square root of x, so it does not round x to the nearest whole number.

Therefore, the correct answer to this question is option (c) round(x).

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\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ (4)^{\frac{-4}{2}} \implies (4)^{-2}\implies 4^{-2}\implies \cfrac{1}{4^2}\implies \cfrac{1}{16}\)

Answer:

the answer for |x+5|=3=x=-2and x=-8

and for the other one is x=8 and x=2

Answer:

3

Step-by-step explanation:

Use the slope formula

Y2-y1/x2-X1

(8-2)/(3-1)

6/2

Simplify

6/2=3

Hope this helps!

The true statements from the given options are:

- The horizontal asymptote of the function is y=2.

- If the temperature decreases into negative degrees Celsius, eventually the growth rate will be less than 2 multiples per hour.

The statement "The growth rate of the bacteria will always be greater than 2 multiples per hour" is not necessarily true as it depends on the specific conditions and factors involved. Similarly, the statement "The horizontal asymptote of the function is y=2.2" is not mentioned in the options.

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Answer:

x² + 9x + 15

Step-by-step explanation:

Given

(2x + 3)² - 3(x - 1)(x + 2) ← expand factors using FOIL

= 4x² + 12x + 9 - 3(x² + x - 2) ← distribute

= 4x² + 12x + 9 - 3x² - 3x + 6 ← collect like terms

= x² + 9x + 15

To determine whether men and women significantly differ in depression, we need to compare the mean scores of the two groups and test for statistical significance.

The answer to the research question cannot be determined without conducting a statistical test such as an independent samples t-test or a Mann-Whitney U test. One way to do this is to use a t-test. The t-test will determine whether the difference between the means of the two groups is statistically significant, or whether the difference could have occurred by chance. Another way to test for significance is to use a non-parametric test such as the Mann-Whitney U test. This test does not assume normality of the data, but rather compares the distribution of scores between the two groups. Once a test is conducted and a p-value is obtained, we can determine whether the difference between the groups is statistically significant at a certain level of significance (usually set at p < 0.05).

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Answer:

Any Number

Step-by-step explanation:

g(x) can be any number greater or smaller than f(x) by the value of k - and so whatever k is, is how to make f turn to g.

We must factor the provided polynomial equation in order to obtain a linear and quadratic equation before we can discover the roots of the three-degree polynomial.

Any natural number other than 1 with just itself and the number 1 as its divisors is considered a prime factor. Actually, 2, 3, 5, 7, 11, and so on are some of the first prime numbers. an amount that has been multiplied to produce another amount. By dividing 15 by 3 and 5, for instance, we get 3 5 = 15. main elements: Prime factors include all factors that are prime but are not composite. A few prime factors of 30 are 2, 3, and 5. Only 2 and 3 are prime factors of 12, so listing 2 twice as 2 2 3 (or 22 3) is necessary to factorize 12. The sum of 2 + 3 is not 12.

We must factorize the provided polynomial equation in order to obtain a linear and quadratic equation before we can discover the roots of the three-degree polynomial. The zeros of the three-degree polynomial are then easily ascertainable.

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Answer:

m = -3/2

Step-by-step explanation:

Slope = rise/run or (y2 - y1) / (x2 - x1)

Points (4, − 6) and (− 2, 3)

We see the y increase by 9 and the x decrease by 6, so the slope is

m = - 9/6 = -3/2

So, the slope of the line is -3/2

The correct expressions are;

B). 2/2 + 2/2 + 1/2 = 2.5

D). 1 1/2 + 1/2 + 1/2 = 2.5

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

Given:

Danny has 2 1/2 pounds of coffee grounds.

2 1/2 = 2.5

The choices are given in the image.

A). 3/2 + 2/2 + 1/2 = 6/2 = 3 ≠ 2.5.

B). 2/2 + 2/2 + 1/2 = 2.5

C).  1 + 1 + 1/2 + 1/2

But this shows the situation for four days,

So, this option is discarded.

D). 1 1/2 + 1/2 + 1/2 = 2.5

Therefore, B and D are the correct options.

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The value of a is a = -b/2x

Quadratic equations are the polynomial equations of degree 2 in one variable of type f(x) = ax^2 + bx + c = 0 where a, b, c, ∈ R and a ≠ 0. It is the general form of a quadratic equation where 'a' is called the leading coefficient and 'c' is called the absolute term of f (x).

Suppose we have a quadratic equation of the form:

ax²+bx+c

The axis of symmetry of the parabola is :

x = -b/ 2a

From here, we must clear the value of a.

1) Pass 2a multiplying to the other side of the equation:

2ax=-b

2) Clear the value of a by passing 2x to divide:

a = -b/2x

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Answer:

5 hours your welcome.

Answer:

25pi

Step-by-step explanation:

This mulch would cover the circular area, and not just placed on the outside. Therefore: it's area. Now, to calculate how much you'd need

Area of a circle is Pi*r^2

Multiply r (the radius) by itself to get 25, then multiply pi. Since 25pi looks like a simpler answer than 78.5398163, that's what I'd stick with for the answer, unless they say otherwise...

The circumference of the circle field is given, to find the diameter the formula must be applied where the diameter of the circle is found by dividing the circumference with 3.14, the result is approximately 52.97

The diameter of the circle is the longest ray that is twice of radius. The circumference of the circle must be divided with the \(\pi\) value to find the diameter of the circle. As it is known that the circumference of the circle is 2 times the value of \(\pi\)and radius and the diameter is two time the radius hence the formula of finding the diameter when the circumference is given will be: d = C/\(\pi\)

Here d stands for diameter, C stands for circumference

The value of \(\pi\) is  3.14

Where C= 2\(\pi\)r

and d= 2r

so the formula of diameter is

d= C/\(\pi\)

d= 166.42/3.14

d= 52.97313

that can be approximately taken as 52.97

So when the circumference of the circular filed is 166.42 then the diameter of the field is 52.97. The diameter can also be said as the half of the radius and the relation between the circumference and the ratio between the value of pi and diameter.

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Answer:

Below

Step-by-step explanation:

All of the side lengths of a CUBE are the same

VOLUME = L x W x H  = 1/6  *  1/6 * 1/6 =  1/ (6^3) =  1 / 216  in^3

The correlation for the resulting data, when each of the X values were multiplied by 2, is r=0.10.

Explanation:

Given that, a set of n=15 pairs X and Y values has a Pearson correlation of r=0.10. And, in each of the X values were multiplied by 2, then we need to calculate the correlation for the resulting data.

When each of the X values is multiplied by 2, then the resulting correlation does not change. It is because the correlation coefficient of Pearson, r, only measures the linear relationship between two variables and not the scale of the variables.

Thus, the correlation for the resulting data, when each of the X values were multiplied by 2, is r=0.10.

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Answer:

P is the incorrect answer

This is probably the hardest question I've ever had to answer. I'm going to take a wild guess and say 2?????

Let us begin by defining arc measure

Arc measure is a degree measurement, equal to the central angle that forms the intercepted arc.

From the given diagram, we can determine that:

measure of arc DC = 100 degrees

Answer: 100 degrees

Answer:

-816

Step-by-step explanation: