Ared candle is 8 inches tall and burns at a rate of inch per hour. 1 A blue candle is 6 inches tall and burns at a rate of inch per hour. 5 After how many hours will both candles be the same height? Enter your answer in the box.​

f: A → B and g: B → A are functions such that f∘g=idB. It is true that g is injective and f is surjective.

Let y1, y2 ∈ B such that g(y1) = g(y2).

We need to show that y1 = y2.

To do this, we use the following facts;

f(g(y1)) = y1 (since f∘g=idB).

f(g(y2)) = y2 (since f∘g=idB).

Now, f(g(y1)) = f(g(y2)).

Since f is a function, g(y1) = g(y2) ⟹ f(g(y1)) = f(g(y2)).

So, we have y1 = y2 as required. Therefore, g is injective.

Let b ∈ B be arbitrary. We need to show that there exists an element a ∈ A such that f(a) = b.

Since f∘g=idB, we know that for any element y ∈ B,f(g(y)) = y.

Now, we can use b ∈ B to obtain the element g(b) ∈ A.

Then, f(g(b)) = b as required. Therefore, f is surjective.

So, the functions f and g satisfy the following properties:

if f: A → B and g: B → A such that f∘g=idB, then g is injective and f is surjective.

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Answer:

Step-by-step explanation:

Answer:

130/100 H  and (3/10 + 1) H

Step-by-step explanation:

Hope this helps!

Answer:

21

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Hope this helped, and please mark as brainliest! <3

Answer:

Option D: P + 42 = 91

Step-by-step explanation:

Plates collected in February = 42

Total Plates collected = 91

Plates in February + Plates in March = total plates

42 + P = 91 or

P + 42 = 91

Answer:17

Step-by-step Experlation: The volume is 108 cm. 3,2,15.a square prism with a base edge of 9.5 inches and a height of 17 ... amount for a landowner

Answer:

-3

Step-by-step explanation:

parallel lines are congruent which means that they equal the same thing

The test statistic value can be calculated using the formula (sample mean - population mean) / (sample standard deviation / sqrt(sample size)).

To calculate the test statistic value, we use the formula (sample mean - population mean) / (sample standard deviation / sqrt(sample size)). In this case, the sample mean is 122, the population mean is 130, the sample standard deviation is 20, and the sample size is 20.

Test Statistic Value = (122 - 130) / (20 / sqrt(20))

                     = (-8) / (20 / 4.47)

                     = -8 / 4.47

                     ≈ -1.79

Therefore, the test statistic value is approximately -1.79.

The test statistic value (t) measures the difference between the sample mean and the assumed population mean in terms of the standard error. It helps us determine the likelihood of obtaining such a sample mean if the population mean is indeed equal to the assumed value.

In this case, the test statistic value is -1.79, indicating that the sample mean is 1.79 standard errors below the assumed population mean of 130. The negative sign indicates that the sample mean is lower than the assumed value.

To determine the significance of this difference, we would compare the test statistic to critical values from the t-distribution or calculate the p-value associated with the observed test statistic. This would allow us to make conclusions about the statistical significance of the difference between the sample mean and the assumed population mean.

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hello i know its wrong but lol. i tried to help.

Answer:

36

Step-by-step explanation:

Use the counting principle.

2 * 3 * 6 = 36

Answer: 36

Answer: 30 outfits

Step-by-step explanation:

2 x 5 x 3 =30

Part A:

Six Tents Holds 42 People

Nine Tents Holds 63 People

10 Tents Holds 70 People

Part B:

Number of tents|||Number of people

1                          |||7

6                         |||42

9                         |||63

10                        |||70

Part C:

Tents=x

1x=7 people

Answer:

70

Step-by-step explanation:

The slope is down 1 over 1.5, so that means Start with the slope formula

m=

(y2 - y1)

(x2 - x1)

Substitute point values in the formula

m=

(140 - 280)

(2 - 4)

Simplify each side of the equation

m=

(140 - 280)

(2 - 4)

=

-140

-2

Solve for slope (m)

m= 70

Booommmm, Im proud of this lol, hope it helps <3

Step-by-step explanation:

[tex]57.6 - 41.9 = 5.7[/tex]

The contour integral of the function f(z) over the contour C is zero because the function f(z) is analytic inside and on the contour C.

In this case, the function f(z) = (8² - 16)5 = 64 × 5 = 320 is a constant function. Constant functions are always analytic within their domain. Therefore, f(z) is analytic within the region enclosed by the contour C.

According to Cauchy's Integral Formula, the contour integral of a function over a closed contour C is given by:

∮C f(z) dz = 2πi × sum of the residues of f(z) at its isolated singularities within C.

Since f(z) is a constant function, it does not have any singularities. Therefore, all the residues of f(z) are zero.

Hence, the contour integral of f(z) over the contour C is zero:

∮C f(z) dz = 0.

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To find the volume and total area of the right circular cone, we will use the formulas below. Volume of the right circular cone: $$V = \frac{1}{3}πr^2h$$

Total surface area of the right circular cone:$$A = πr^2 + πrl$$, Where r is the radius, l is the slant height and h is the height of the cone.π (pi) is a mathematical constant that is approximately equal to 3.14159 and is used to calculate the circumference and area of a circle. The radius of the right circular cone is 3.5 cm and its height is 7 cm. To calculate the slant height, we will use the Pythagorean theorem which states that the square of the hypotenuse (l) is equal to the sum of the squares of the other two sides:$$l^2 = r^2 + h^2$$$$l = \sqrt{r^2 + h^2} = \sqrt{3.5^2 + 7^2} \approx 7.98\ cm$$

Volume of the right circular cone:$$V = \frac{1}{3}πr^2h = \frac{1}{3}π(3.5)^2(7) \approx 89.75\ cm^3$$. Total surface area of the right circular cone:$$A = πr^2 + πrl = π(3.5)^2 + π(3.5)(7.98) \approx 91.86\ cm^2$$. Hence, the volume of the right circular cone is approximately 89.75 cm³ and the total surface area is approximately 91.86 cm².

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Answer:

however it works for you along as you get the right answer

Step-by-step explanation:

Answer:

Yeah you will most likely get the same answer

Step-by-step explanation:

as long as you don't mix up (for this example of course) the service call fee (which is the constant) and the fee for each hour of labor (the coefficient of the variable), you are good

Answer:

V = 339.12

Step-by-step explanation:

Volume of a cone:

V = πr²(h/3)

Given:

r = 6

h = 9

Work:

V = πr²(h/3)

V = 3.14(6²)(9/3)

V = 3.14(36)(3)

V = 113.04(3)

V = 339.12

Answer:

1/2

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

Each smaller rectangle is being multiplied by a so 2a + 3a + 4a would give you the total area of the entire large rectangle.

There are 6 possible outcomes:P(HHH) + P(HHT) + P(HTH) + P(THH) + P(HTT) + P(THT) = 7/8

a) No heads: 0.125

b) Exactly 2 tails: 0.375

c) At least 2 heads: 0.5

d) At most 2 tails: 0.875.

Given that three coins are tossed, we need to draw a Tree-diagram to show the possible outcomes and then find the sample space for this event.

Afterward, we need to find the probability of getting:

a) no heads

b) exactly 2 tails

c) at least 2 heads

d) at most 2 tails

Tree-diagram:

It is a tree diagram representing the tossing of three coins to show all possible outcomes.Sample space:

It is the set of all possible outcomes.

The sample space for this event is: {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

a) No heads are (TTT) and the probability of getting no head is:

P(TTT) = 1/8

= 0.125

b) Exactly two tails are (HHT, HTH, THH) and the probability of getting exactly 2 tails is:

P(HHT) + P(HTH) + P(THH) = 3/8

= 0.375

c) At least 2 heads means getting 2 heads or 3 heads. There are 4 possible outcomes:P(HHH) + P(HHT) + P(HTH) + P(THH) = 1/2 = 0.5d)

At most 2 tails mean getting 0 tails or 1 tail.

There are 6 possible outcomes:P(HHH) + P(HHT) + P(HTH) + P(THH) + P(HTT) + P(THT) = 7/8

= 0.875

Hence, the answers are:

a) No heads: 0.125

b) Exactly 2 tails: 0.375

c) At least 2 heads: 0.5

d) At most 2 tails: 0.875.

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Answer:

-1.889 rad

Step-by-step explanation:

180 degrees = [tex]\pi[/tex]

-340 x [tex]\frac{\pi }{180}[/tex]

-340[tex]\pi[/tex]/180

-34[tex]\pi[/tex]/18

-1.889 rad

Answer:

5. 18 that is what i think the answers are

6. 13.75

5 2 11 8 35 32

Answer:

A. Jan 1

Dr cash $800,000

Cr Bonds payable $800,000

B. Dr Interest expense $72,000

Cr Interest Payable $72,000

Step-by-step explanation:

Preparation of the entries to record the issuance of the bonds and the first annual interest accrual on December 31

A. Preparation of the entries to record the issuance of the bonds

Jan 1

Dr cash $800,000

Cr Bonds payable $800,000

(Being to record issuance of the bonds)

B. Preparation of the Journal entry to record first annual interest accrual on December 31

Dec 31

Dr Interest expense $72,000

Cr Interest Payable $72,000

($800,000*9%)

(Being to record the first year interest expense accrued)

Answer:

2.5 liters of gas is used with per liter of oil

Step-by-step explanation:

Max is missing oil and gas for his moped.

Amount of gas used = 3.75 liters

Amount of oil required = 1.5 liters

Ratio in which gas and oil are mixed = [tex]\frac{3.75}{1.5}[/tex]

                                                             = [tex]\frac{2.5}{1}[/tex]

That means if he uses 1 liter of oil then the gas required for the mixture = 2.5 liters

Therefore, 2.5 liters of gas is used per liter of oil.

The y-intercept is n intercept is a point on the y-axis, through which the slope of the line passes and the y-intercept of the given equation is 38,000.

In Maths, an intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis. This is represented when we write the equation for a line, y = mx+c, where m is slope and c is the y-intercept.

The given equation is y=700x+38,000 to predict his annual salary, y, after x years.

In the given equation, y-intercept is 38,000.

Therefore, the y-intercept is n intercept is a point on the y-axis, through which the slope of the line passes and the y-intercept of the given equation is 38,000.

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To show that E(Xn) = Ek=p-k, we can use the concept of conditional expectation and the law of total expectation.

Let's define X as the number of flips required to obtain a run of n consecutive heads.

We can express X as the sum of two random variables: the number of flips required to obtain the first head (H) and the number of additional flips required to obtain a run of n-1 consecutive heads (Xn-1).

We can write the equation as:

X = H + Xn-1

Taking the expectation on both sides, we have:

E(X) = E(H + Xn-1)

Using the linearity of expectation, we can rewrite this as:

E(X) = E(H) + E(Xn-1)

The expected number of flips required to obtain the first head is simply the reciprocal of the probability of getting heads on a single flip, which is 1/p.

So, E(H) = 1/p.

Next, let's consider the expectation of Xn-1. Since Xn-1 represents the number of additional flips required to obtain a run of n-1 consecutive heads, it is equivalent to Xn but with a reduced value of n.

Using the law of total expectation, we can express E(Xn-1) as a conditional expectation:

E(Xn-1) = E(E(Xn-1 | Xn-1 > 1))

In other words, the expected value of Xn-1 can be obtained by conditioning on the event that the first flip is not a head.

Since the first flip is not a head, we need to start over and obtain a new run of n consecutive heads.

Therefore, the expectation of Xn-1 conditioned on Xn-1 > 1 is equal to E(Xn).

Putting it all together, we have:

E(X) = E(H) + E(Xn-1)

    = 1/p + E(Xn)

Simplifying further, we get:

E(X) = 1/p + E(Xn)

Now, notice that E(X) is equal to E(Xn) when n = 1.

Therefore, we can write:

E(X) = 1/p + E(X)  (since E(X1) = E(X))

Solving for E(X), we find:

E(X) = 1/p

Finally, let's substitute k = n-1 into the expression:

E(Xn) = 1/p

Since k = n-1, we have:

E(Xn) = 1/p = Ek=p-k

Therefore, we have shown that E(Xn) = Ek=p-k.

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Answer:

h(x)=6^x/3 is what I got hope I could help

Answer:

12

Step-by-step explanation:

y = kx where 'k' is the constant of proportionality

24 = 2 x 12

36 = 3 x 12

48 = 4 x 12

60 = 5 x 12

Based on the given data, the hypothesis test results show that there is not enough evidence to conclude that women chat on their phones more than men at the 5% significance level.

For the hypothesis test comparing the chat times of male and female students, we can use a two-sample t-test since we have two independent samples with unequal variances. The null hypothesis (H0) assumes that there is no difference in chat times between men and women, while the alternative hypothesis (Ha) suggests that women chat more than men.

Calculating the test statistic and degrees of freedom using the provided sample data and formulas, we find that the test statistic is approximately 1.03. Comparing this with the critical value at a 5% significance level (t-critical value), we find that it does not fall in the rejection region.

Therefore, we fail to reject the null hypothesis and conclude that there is not enough evidence to support the claim that women chat on their phones more than men at the 5% significance level.

For the second scenario comparing energy expenditure using conventional and perforated shovels, we would need more information, such as the sample sizes, means, and standard deviations, to perform the relevant hypothesis test. The provided data alone does not allow us to conduct the hypothesis test.

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