The relationship between altitude and the boiling point of a liquid is linear. At an altitude of 8100 ft, the liquid boils at 201.28°F. At an altitude of 4300 ft, the liquid boils at 205.84°F. Write an equation giving the boiling point b of the​ liquid, in degrees​ Fahrenheit, in terms of altitude​ a, in feet. What is the boiling point of the liquid at 2200 ft?

20 POINTS PLZ ANSWER

Answer:

up , up , up , upitdy.

ngl im not sure bro but somehow i got 16 4x4=16

Step-by-step explanation:

9514 1404 393

Answer:

  -1350°

Step-by-step explanation:

π radians is 180°, so you have ...

  -15(180°)/2 = -1350°

The equivalent exponential equations are given as follows:

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

The exponential expression for this problem is defined as follows:

\(2^{4x} = 8^{x - 3}\)

The number eight is the third power of 3, that is:

8 = 2³.

The power of a power rule is used when a single base is elevated to multiple exponents.

Then the simplified expression is obtained keeping the base, while the exponents are multiplied.

Meaning that the equivalent expression on the right side of the equality in this problem is given as follows:

\(8^{x - 3} = (2^3)^{x - 3} = 2^{3(x - 3)}\)

Meaning that the correct option is given by the fourth option.

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Answer:

140 are in the warehouse.

Step-by-step explanation:

In 3 1/2 hours (3:30 pm) the number of boxes that had been unloaded was the total - 55

The total is 90 so at 3:30 the number unloaded was 90 - 55 = 35

At 8:30 we are finally done, so set up a proportion.

3 1/2 / 35 = 8 1/2 / x            Cross Multiply

3.5x = 8.5*35                      Combine

3.5x = 297.5                        Divide by 3.5

x = 297.5 / 3.5

x = 85

That empties the truck but it does not tell is what's in the warehouse.

There are 55 more boxes that were there to start with

85+ 55 = 140

Answer:

2 to 5 different ways

Step-by-step explanation:

Answer:

12 different ways he can dress

Step-by-step explanation:

Let The Pant be A and Shirt be B

So, we have 3 pair of pants i.e., 6 Pants

Here, We assumed that the pant be A then 6 pants be

A₁ A₂ A₃ A₄ A₅ A₆

Now, For Shirts

We have 2 Shirts

But we assumed that the Shirt be B then 2 Shirts be

B₁ B₂

Then, We will make pair of A and B

A₁ = B₁

A₂ = B₁

A₃ = B₁

A₄ = B₁

A₅ = B₁

A₆ = B₁

A₁ = B₂

A₂ = B₂

A₃ = B₂

A₄ = B₂

A₅ = B₂

A₆ = B₂

Thus, 12 different ways he can dress

-TheUnknownScientist

It looks like you're talking about the indefinite integral

\(\displaystyle \int t^2 e^{-10t} \, dt\)

Integrate by parts:

\(\displaystyle u\,dv = uv - \int v\,du\)

Let

\(u = t^2 \implies du = 2t \, dt\)

\(dv = e^{-10t} \, dt \implies v = -\dfrac1{10} e^{-10t}\)

Then

\(\displaystyle \int t^2 e^{-10t} \, dt = -\frac1{10} t^2 e^{-10t} + \frac15 \int t e^{-10t} \, dt\)

Integrate by parts again, this time with

\(u = t \implies du = dt\)

\(dv = e^{-10t} \, dt \implies v = -\dfrac1{10} e^{-10t}\)

Then

\(\displaystyle \int t e^{-10t} \, dt = -\frac1{10} t e^{-10t} + \frac1{10} \int e^{-10t} \, dt\)

Putting everything together, we get

\(\displaystyle \int t^2 e^{-10t} \, dt = -\frac1{10} t^2 e^{-10t} + \frac15 \int t e^{-10t} \, dt\)

\(\displaystyle \int t^2 e^{-10t} \, dt = -\frac1{10} t^2 e^{-10t} + \frac15 \left(-\frac1{10} t e^{-10t} + \frac1{10} \int e^{-10t} \, dt\right)\)

\(\displaystyle \int t^2 e^{-10t} \, dt = -\frac1{10} t^2 e^{-10t} - \frac1{50} t e^{-10t} + \frac1{50} \int e^{-10t} \, dt\)

\(\displaystyle \int t^2 e^{-10t} \, dt = -\frac1{10} t^2 e^{-10t} - \frac1{50} t e^{-10t} + \frac1{50} \left(-\frac1{10} e^{-10t}\right) + C\)

\(\displaystyle \int t^2 e^{-10t} \, dt = -\frac1{10} t^2 e^{-10t} - \frac1{50} t e^{-10t} - \frac1{500} e^{-10t} + C\)

\(\displaystyle \int t^2 e^{-10t} \, dt = \boxed{-\frac{e^{-10t}}{500} \left(50t^2 + 10t + 1\right) + C}\)

The amount of cost to carpet the entire rectangular living room floor of the cabin is given by A = $ 420

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangular living room be A

The scale factor is 1 cm of graph = 4 feet

Now , the length of rectangular floor be L = 5 cm

So , the length of the rectangular floor L = 20 feet

And , the width of the rectangular floor W = 3.5 cm

So , the width of the rectangular floor W = 14 feet

The cost per unit area of carpet = $ 1.50

The area of rectangular floor = L x W

On simplifying , we get

The area of rectangular floor = 20 x 14 = 280 feet²

Now , the cost to carpet 280 feet² of living room = 280 x cost per unit area of carpet

The amount of cost to carpet the entire living room floor = 280 x 1.5

The amount of cost to carpet the entire living room floor = $ 420

Hence , the cost to carpet the living room is $ 420

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The complete question is :

If carpet cost s $1.50 per square foot including the cost of installation how much would it cost to carpet the entire living room floor of the cabin shown at the right?

Answer:

Step-by-step explanation:

x + x + 10 + 3x = 180

5x + 10 = 170

5x = 170

x = 36°

3(36)= 108° the largest angle

The length of each side of the wood is 5 centimetres.

Doug has 8 square pieces of wood. Each piece of wood have a side length of s cm. The total area of all 8 pieces of wood is 200 cm².

Hence, using quadratic equation let's find the length of each side of the wood.

Therefore,

8s² = 200

Hence,

8s² = 200

divide both sides of the equation by 8

s² = 200 / 8

s² = 25

s = √25

s = 5 centimetres

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Answer: not related

Step-by-step explanation: Statistical tests are employed when trying to establish the existence or non-existence of relationship between two variables. Variables may be numerical or categorical, in most cases, regression is employed in establishing relationship between. numerical variables. However, the Chisquare test of independence is employed when analysing and trying to establish if a relationship exists between two categorical variables. With the null hypothesis maintain that both variables are independent are hence unrelated while the alternative hypothesis states otherwise.

Answer:

Outcome Y is independent of Factor X.

Step-by-step explanation:

The null hypothesis for the Chi-Square Tables Test is:

Outcome Y is independent of Factor X.

Step-by-step explanation:

If 2 large solar panels = 12 small solar panels

then ? = 6 small solar panels

therefore 6/12 × 2 large solar panels

= 1 large solar panels.

Also

if 2 large solar panels = 18 minutes

than 5 large solar panels = ?

therefore = 5/2 × 180 minutes

=450 minutes

Again

if 2 large solar panels = 180 minutes

than 1 large solar panels = ?

therefore = 1/2 × 180 minutes

= 90 minutes.

Answer:

C)  $2,443.71

Step-by-step explanation:

To calculate the amount of interest earned on the savings account, use the compound interest formula.

\(\boxed{\begin{minipage}{8.5 cm}\underline{Compound Interest Formula}\\\\$ I=P\left(1+\dfrac{r}{n}\right)^{nt}-P$\\\\where:\\\\ \phantom{ww}$\bullet$ $I =$ interest accrued.\\ \phantom{ww}$\bullet$ $P =$ principal amount. \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form). \\ \phantom{ww}$\bullet$ $n =$ number of times interest is applied per year. \\ \phantom{ww}$\bullet$ $t =$ time (in years). \\ \end{minipage}}\)

Given values:

Substitute the given values into the formula and solve for I:

\(I=4570.65\left(1+\dfrac{0.039}{12}\right)^{12\cdot 11}-4570.65\)

\(I=4570.65\left(1+0.00325\right)^{132}-4570.65\)

\(I=4570.65\left(1.00325\right)^{132}-4570.65\)

\(I=4570.65\left(1.534653130...\right)-4570.65\)

\(I=7014.362330...-4570.65\)

\(I=2443.712330...\)

\(I=\$2,443.71\[ \sf (nearest\;cent)\)

Therefore, the amount of interest the account has earned is $2,443.71, rounded to the nearest cent.

Answer:

$2,443.71

Step-by-step explanation:

To calculate the interest earned, we can use the formula for compound interest:

\(\rm\implies A = P(1 + \frac{r}{n})^{(nt)}\)

where:

Given:

Substitute the given values into the above formula:

\(\begin{aligned}\rm\implies A& =\rm 4570.65(1 + \frac{0.039}{12})^{(12 \cdot 11)}\\& \approx \rm{\$9,014.36}\end{aligned}\)

To find the interest earned, we subtract the initial deposit from the final amount:

\(\begin{aligned}\rm\implies Interest& =\rm A - P\\& \approx \$9,014.36 - \$4,570.65\\& \approx \boxed{\rm{\$2,443.71}}\end{aligned}\)

\(\therefore\) The account has earned $2,443.71 in interest.

Answer:

The answer is 7

Step-by-step explanation:

\( {a}^{2} + {b}^{2} = {c}^{2} \)

for our purposes we must rearrange this problem to find one of the sides, not the hypotenuse

\( {a}^{2} = {c}^{2} - {b}^{2} \)

plugging in our numbers we get

\( {25}^{2} - {24}^{2} = 49\)

\( \sqrt{49} = 7\)

Answe well this look complicated gimme some time

Step-by-step ex

It is recommended that you visit your courses on D2L frequently, ideally at least once a day, to stay up-to-date with any new announcements or assignments posted by your instructor. This will help you stay on track with your coursework and prevent you from falling behind. Additionally, regular visits to your courses can help you participate in discussions with your peers and ask questions if you are unsure about any of the material. It's important to remember that online learning requires a high level of self-discipline and responsibility, so making a habit of checking in on your courses regularly can contribute to your overall success in the class.

Since the test statistic (2.53) falls within the critical values (-2.576 and 2.576), we fail to reject the null hypothesis.

To test the claim that the proportion of American adults who eat salad once a week is equal to 80%, we will conduct a hypothesis test.

Claim: p = 0.80

Opposite: p ≠ 0.80

The test is a two-tailed z-test.

Sample proportion (p) = 374/445 = 0.8404

Test statistic= (0.8404 - 0.80) / sqrt((0.80 * (1 - 0.80)) / 445)

z = 2.53 (rounded to 2 decimals)

Significance level (α) = 0.005, so the critical values for a two-tailed test are -2.576 and 2.576.

Since the test statistic (2.53) falls within the critical values (-2.576 and 2.576), we fail to reject the null hypothesis.

Conclusion: There does not appear to be enough evidence to reject the claim that the proportion of American adults who eat salad once a week is equal to 80%.

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Answer:

The answer is "18".

Step-by-step explanation:

Amount of different methods a resident could get an advertisement:

\(=2\times 3 \times 3\\\\= 18\)

Answer:

The Answer is 18

Step-by-step explanation:  

2*3*3

a) The initial deposit in the account is given as follows: 1,287.39 euros.

b) The interest rate of the account is given as follows: 3%.

The equation that gives the balance of an account after t years, considering simple interest, is modeled as follows:

A(t) = P(1 + rt).

In which the parameters of the equation are listed and explained as follows:

Considering the balances after 5 and 6 years, the interest rate is obtained as follows:

r = 1524.60/1480.50 - 1

r = 0.03.

Considering the balance after 5 years, the initial deposit is obtained as follows:

P(1 + 0.03 x 5) = 1480.5

P = 1480.5/1.15

P = 1,287.39 euros.

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Its dividing by -2

................................

The fractions are rewritten as so that they have a common denominator as  107/100

A fraction can be described as the part of a whole element, variable or number.

The several types of fractions are;

From the information given, we have that;

13/25 and 11/20

To rewrite the fractions, we have to determine the lowest common multiple

13/25 + 11/20

52 + 55 /100

Add the numerators , we have;

107/100

Hence, the fraction is 107/100

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Answer:

pog champ

Step-by-step explanation:

Answer:

to make it 21

Step-by-step explanation:

The shape that can tessellate without leaving gaps is the hexagon (option A).

The shapes that can tessellate without leaving gaps are shapes that can be repeated to completely cover a flat surface without any overlaps or gaps. Among the options provided, the shape that will tessellate without leaving gaps is the hexagon (option A).

A hexagon is a six-sided polygon with equal sides and angles. It is a regular polygon, which means all of its sides and angles are equal. A regular hexagon can be arranged and repeated in a pattern to fill a plane without any gaps or overlaps. Bees' honeycombs are a real-world example of hexagonal tessellation.

On the other hand, octagons (option B) and pentagons (option C) do not tessellate by themselves without gaps. While they can be used in combination with other shapes to create tessellations, they cannot tessellate on their own.

A circle (option D) cannot tessellate without leaving gaps. A circle is a curved shape, and it cannot form a repeating pattern that completely covers a flat surface without overlaps or gaps.

In summary, the shape that can tessellate without leaving gaps is the hexagon (option A).

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The individual that will be paying the most for their purchase is: B.edgar paid with a credit card and paid the minimum payment each month

The individual that will pay the most according to the data provided is Edgar. Edgar's payment is spread out to the longest length of time. So, he will have to pay the added dues for extending his payment.

Usually, the person who pays cash pays the least amount while the person who pays in installments is charged for additional time spent in making the payment.

Complete Question:

Each of the following people bought a watch that costs $300. Which of the following people will pay the most for their purchase A.Sarah paid cash B.edgar paid with a credit card and paid the minimum payment each month C.susan paid with a credit card and paid the minimum payment plus 30 each month D. Sean paid with a credit card and paid the full balance the first of the month

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The true statement based on the relationship depicted in the Venn diagram is that no rhombuses are trapezoids (option D).

To identify the true statement using the relationship represented in the Venn diagram, we need to analyze the overlapping regions and the properties of the shapes involved.

A trapezoid is a quadrilateral with at least one pair of parallel sides, while a rhombus is a quadrilateral with all sides of equal length. Let's evaluate the options:

A. All trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region between the trapezoids and rhombuses shows that there are trapezoids that are not rhombuses. Therefore, option A is incorrect.

B. All rhombuses are trapezoids: This statement is true based on the diagram. The entire region representing rhombuses is also included within the region representing trapezoids. Every rhombus can be considered a trapezoid because it has at least one pair of parallel sides. Thus, option B is correct.

C. No trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region indicates that there are trapezoids that are indeed rhombuses. Therefore, option C is incorrect.

D. No rhombuses are trapezoids: This statement is true based on the diagram. There is no overlap between the regions representing rhombuses and trapezoids, implying that no rhombus can be considered a trapezoid. Hence, option D is correct.

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Answer:

450 min hope this helps!

Step-by-step explanation:

Answer

It will take him 450 minutes to read 90 pages.

Explanation

Luis can read 3 pages every 15 minutes.

You are trying to find how long it will take him to read 90 pages.

Set up this ratio.

\(\frac{15}{3} =\frac{x}{90}\)

To get from 3 to 90, you multiply by 30. Do the same thing to 15.

15 times 30 is 450.

It will take Luis 450 minutes to read 90 pages.

Answer:

the total for 14 students paying is 1260

The graphs have been correctly dragged to the table to show the image of the triangle after it is reflected over the x-axis, the y-axis, and the line y = x.

By applying a reflection over the x-axis to the coordinates of this triangle, we have the following coordinates of the image triangle;

(x, y)                →      (x, -y)

(1, -3)             →      (1, -(-3)) = (1, 3)

(3, -2)             →      (3, -(-2)) = (3, 2)

(4, -5)             →      (4, -(-5)) = (4, 5)

By applying a reflection over the y-axis to the coordinates of this triangle, we have the following coordinates of the image triangle;

(x, y)                →      (-x, y)

(1, -3)             →        (-1, -3)

(3, -2)             →      (-3, -2)

(4, -5)             →      (-4, -5)

By applying a reflection over the line y = x to the coordinates of this triangle, we have the following coordinates of the image triangle;

(x, y)                →      (y, x)

(1, -3)             →        (-3, 1)

(3, -2)             →      (-2, 3)

(4, -5)             →      (-5, 4)

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The probability that Aakesh will select a blue marble from each bag is 4/45.

To find the probability that Aakesh will select a blue marble from each bag, we need to calculate the probability of selecting a blue marble from each bag and then multiply those probabilities together.

Let's start with the first bag, which contains 5 marbles: 2 red marbles, 2 blue marbles, and 1 green marble. The probability of selecting a blue marble from the first bag is:

P(Blue from first bag) = Number of blue marbles / Total number of marbles in the first bag

P(Blue from first bag) = 2 / 5

Now, let's move on to the second bag, which contains 9 marbles: 3 red marbles, 2 blue marbles, and 4 green marbles. The probability of selecting a blue marble from the second bag is:

P(Blue from second bag) = Number of blue marbles / Total number of marbles in the second bag

P(Blue from second bag) = 2 / 9

To find the probability of both events happening (selecting a blue marble from each bag), we multiply the individual probabilities together:

P(Blue from both bags) = P(Blue from first bag) * P(Blue from second bag)

P(Blue from both bags) = (2 / 5) * (2 / 9)

P(Blue from both bags) = 4 / 45.

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Answer:

6

Step-by-step explanation:

\( {4}^{2} - (x + 8)\)

\( {4}^{2} - (2 + 8)\)

\( {4}^{2} - 10\)

\(4 \times 4 - 10\)

\(16 - 10\)

\( = 6\)