erwan accelerates his car at 3km/h per second while overtake a lorry. if he drives with a speed of 90km/h, calculate his speed after 10 seconds.

pls answer this with logical​

Answer:

volume = ⅓×π×4²×9 = 48π sq. meters

Answer:

a. See down below

b. 116 degrees

Step-by-step explanation:

a. Since PA and PB are both tangents to the circle, they both form right angles with the radius of the circle. Also, since they originate from a common point, they have equal length when they reach the circle. Finally, they share side PO. Therefore, by SSA congruence, they are congruent triangles.

b. Since PD bisects the circle, it is divided into two 180 degree sections. If AOP=64, then so is POB. Since all of the remaining half of the circle is BOD, you can find its angle measure by subtracting the angle measure of AOP from 180. 180-64=116 degrees. Hope this helps!

Answer:

15π = 47.12

Step-by-step explanation:

C = pi(diameter)

C= 15π

Answer:

Solution given:

diameter [d]=15m

circumference =?

we have

circumference of circle =πd=π×15=15π or 47.12m

The probability that x forms are required is known to be proportional to  c = 1/15.   c= 2/5  c= 3/5, c= 1.1

(a) Since the probabilities must sum to 1, we have:

pX(1) + pX(2) + pX(3) + pX(4) + pX(5) = c(1 + 2 + 3 + 4 + 5) = 15c

Therefore, c = 1/(1 + 2 + 3 + 4 + 5) = 1/15.

(b) The probability that at most three forms are required is:

P(X ≤ 3) = pX(1) + pX(2) + pX(3) = c(1 + 2 + 3) = 6c = 2/5.

(c) The probability that between two and four forms (inclusive) are required is:

P(2 ≤ X ≤ 4) = pX(2) + pX(3) + pX(4) = c(2 + 3 + 4) = 9c = 3/5.

(d) No, because the probabilities do not sum to 1:

Σ pX(x) from x = 1 to 5

= (1/50)(1 + 4 + 9 + 16 + 25)

= 55/50

= 1.1

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12 + 22 + 12 + 4 = 50

There are 50 marbles you can choose from and 12 green marbles so the chance of you getting a green marble is:

12/50

= 0.24

24%

Answer:

X = 32

Step-by-step explanation:

X/4 = 8

To solve for x, multiply each side by 4

X/4*4 = 8*4

X = 32

The expression that is equivalent to √10 / (4√8) is given as √5 / 8

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the equation:

√10 / (4√8)

Simplifying:

= √10 / (4√(4 * 2))

= √10 / (8√2)

= √5 / 8

The expression that is equivalent to √10 / (4√8) is given as √5 / 8

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The function's formula for the ice sheet's thickness is S(t) = 0.2t + 1.02.

Mathematically, a linear function is sometimes referred to as an expression or the slope-intercept form of a straight line and it can be modeled (represented) by this mathematical expression;

S(t) = mt + b

Where:

After a time of 7 weeks and a rate of decrease of 0.2, the y-intercept or initial amount of ice can be calculated as follows;

S(t) = mt + b

2.42 = 0.2(7) + b

2.42 = 1.4 + b

y-intercept, b = 2.42 - 1.4

y-intercept, b = 1.02.

Therefore, the required linear function is given by S(t) = 0.2t + 1.02.

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Complete Question:

A lake near the Arctic Circle is covered by a thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a rate of 0.2 meters per week. After 7 weeks, the sheet is only 2.42 meters thick.

Let S(t), denote the ice sheet's thickness S (measured in meters) as a function of time t (measured in weeks).

Write the function's formula.

S(t) = ?

Answer:

D

(0,25) (1,55) (2,85) (3,115) (4,145)

Step-by-step explanation:

Each block is 30lbs, plus another 25lbs for the wagon. So just plot that.

Answer:(0,25) (1,55) (2,85) (3,115) (4,145) (5,175) (6,205)

Step-by-step explanation:

\(\\ \sf\longmapsto 8-6a-9a^2+27a^3\)

\(\\ \sf\longmapsto 27a^30-9a^2-6a+8\)

\(\\ \sf\longmapsto 3a(9a^2-3a-2)+8\)

Answer:

If you take 324 apples from 25, you will have -299 apples.

If you take 25 apples from 324, you will have 299 apples.

Good luck, hope this helped!

The answer is D. 70.

John's score on the fourth test was 70. This can be determined by calculating the total score John achieved on the first three tests and then finding the score required on the fourth test to achieve an average of 79.

To calculate John's score on the fourth test, we need to consider the average of his first three tests and the desired average after the fourth test.

Given that John averages 82 out of 100 on his first three tests, the total score on these tests would be 82 * 3 = 246.

To find the score on the fourth test that would result in an average of 79, we use the formula:

(246 + X) / 4 = 79

Where X represents the score on the fourth test.

Simplifying the equation:

246 + X = 316

X = 316 - 246

X = 70

Therefore, John's score on the fourth test was 70, as indicated by option D.

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Answer:

7.6

Step-by-step explanation:

\(\sqrt{(-3-4)^2 + (5-2)^2} \approx 7.6\)

Answer:

14 :D

Step-by-step explanation:

First we must divide!!

324/54 = 6

Now we add :)

6 + 8 = 14

Have an amazing day!!

Please rate and mark brainliest!!

Answer:36

Step-by-step explanation: 3X4 or 3 rectangles plus tow rectanges that = 12

During the 24-hour period between 4pm on 12/26/2015 and 4pm on 12/27/2015, the dew point temperature changed substantially. The water vapor content and relative humidity were also affected by this change.

Based on the information provided, it is indicated that the dew point temperature changed substantially during the 24-hour period. The dew point temperature is the temperature at which air becomes saturated, causing water vapor to condense into dew or fog. A substantial change in the dew point temperature suggests a significant shift in the moisture content of the air.

As a result, the water vapor content and relative humidity are also affected. Water vapor content refers to the amount of water vapor present in the air, while relative humidity measures the percentage of moisture in the air compared to its maximum capacity at a given temperature. When the dew point temperature changes substantially, it implies that the air's capacity to hold water vapor has also changed, thus influencing the relative humidity.

Therefore, the main conclusion is that the change in the dew point temperature had a substantial impact on both the water vapor content and the relative humidity during the entire 24-hour period.

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Answer: put 14

Step-by-step explanation:

Answer: $80

Step-by-step explanation:

You have been told that Sarah ended up paying $60, and you were told before that the charge for a lost book was 75%.

Therefore

$60 = 75%

Now we have to find out what amount of money would be equivalent to 100%:

To do this, find out what amount of money would be equivalent to 25% first.

You can do this by dividing both values by 3.

60 / 3 = 20

75 / 3 = 25

So now $20 = 25%

Now find 100% (which is the original amount) multiply each value by 4 :

$80 = 100%

So the school payed $80 for the book.

hope this helps :)

Answer:

#3

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

\(\frac{7x}{2} <5\\7x<10\\x<\frac{10}{7}\)

Answer:

x= 5/2= 2.500

x= -1 - Divisor: -3/2 = -1-(i)Divisor:3/2= 0.5000-0.8660(i)

x= -1+Divisor: -3/2= -1+(i)Divisor:3/2=-0.5000+0.8660(i)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 (((2 • (x3)) -  3x2) -  3x) -  5  = 0  

STEP  

2

:

Equation at the end of step

2

:

 ((2x3 -  3x2) -  3x) -  5  = 0  

STEP

3

:

Checking for a perfect cube

3.1    2x3-3x2-3x-5  is not a perfect cube

Trying to factor by pulling out : 3.2      Factoring:  2x3-3x2-3x-5  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -3x-5  

Group 2:  -3x2+2x3  

Pull out from each group separately :

Group 1:   (3x+5) • (-1)

Group 2:   (2x-3) • (x2)

Bad news !! Factoring by pulling out fails :

Answer:

2x² + 5x – 18 Remainder 59

Step-by-step explanation:

2x³ – x² – 3x + 5 ÷ x + 3

                   2x² + 5x – 18

x + 3 √ 2x³ – x² – 3x + 5

        – 2x³ – 6x²

            0  +  5x² – 3x + 5

                  – 5x² + 15x

                    0 – 18x + 5

                    – –18x –54

                             0 + 59

2x³ – x² – 3x + 5 ÷ x + 3 = 2x² + 5x – 18 Remainder 59

Answer:

the answer would be a % because of the divisibility rule

The problem requires finding the number of ways to select five media consultants, given that at least four seniors are included. There are seven juniors and eight seniors to choose from. There can be two cases when at least four seniors are selected.

In case 1, exactly four seniors and one junior need to be selected. The number of ways to select four seniors from eight seniors is C(8,4) = 70. The number of ways to select one junior from seven juniors is C(7,1) = 7. Therefore, the total number of ways to select five media consultants with exactly four seniors is 70 × 7 = 490.

In case 2, all five media consultants selected are seniors. The number of ways to select five seniors from eight seniors is C(8,5) = 56. Therefore, the total number of ways to select five media consultants with all seniors is 56.

The total number of ways to select five media consultants such that at least four seniors are included is the sum of the number of ways to select five media consultants with exactly four seniors and the number of ways to select five media consultants with all seniors, which is 490 + 56 = 546.

Hence, the total number of ways to select five media consultants such that at least four seniors are included is 546.

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The null and alternative hypotheses for the given scenario is :

h₀ = 0.39

ha > 0.39

Given, a newsletter r publisher believes that more than 39% of their readers own a laptop.

let the proportion of readers owning a laptop be denoted by p.

We want to test the claim that more than 39% of the readers own a laptop.

Hence, we frame:

Null hypothesis is H₀: p = 0.39

Alternative hypothesis is H₁: p > 0.39

Hence there is no sufficient evidence at the 0.05 level.

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52x - 100y + 490 = 0 , is the required linear function.

What does the term "linear function" mean?

A mathematical function where the variables only occur in the first degree, where the constants are multiplied, and where the only possible combinations are addition and subtraction.

Given, the monthaly cost = y

   the number of minute used = x

Hence,  

           the monthly cost of the phone = (4.90 + 0.52 × the number of minute used)

Given the monthly cost = y

          the number of minute used = x

Hence      y = 4.90 + 0.52 * x

    or    y = \(\frac{490}{100} + \frac{52}{100 } * x\)

     or 100y = 455 + 52x

       or 52x - 100y + 490 = 0 , is the required linear function.

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Given: $f(x) = a + b$ and $g(x) = f^{-1}(x)$ for all $x$Thus, $g$ is the inverse of the function $f$.We need to find all possible values of $a$ and $b$ such that $f(x) - g(x) = 2022$ for all $x$.

Now, $f(g(x)) = x$ and $g(f(x)) = x$ (as $g$ is the inverse of $f$) Therefore, $f(g(x)) - g(f(x)) = 0$$\ Right arrow f(f^{-1}(x)) - g(x) = 0$$\Right arrow a + b - g(x) = 0$This means $g(x) = a + b$ for all $x$.So, $f(x) - g(x) = f(x) - a - b = 2022$$\Right arrow f(x) = a + b + 2022$Since $f(x) = a + b$, we get $a + b = a + b + 2022$$\Right arrow b = 2022$Therefore, $f(x) = a + 2022$.

Now, $g(x) = f^{-1}(x)$ implies $f(g(x)) = x$$\Right arrow f(f^{-1}(x)) = x$$\Right arrow a + 2022 = x$. Thus, all possible values of $a$ are $a = x - 2022$.Therefore, the possible values of $a$ are all real numbers and $b = 2022$.

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Answer:

32 dollars

Step-by-step explanation:

Her total os unknown. ? - 5 = 27. 27 + 5 = 32. 32 = ?

Fins play a crucial role in heat transfer processes by increasing the surface area available for heat exchange. In both losing and collecting heat scenarios, fins enhance heat transfer through convection.

By increasing the contact area between the fluid and the fin surface. Fins are commonly used in applications such as heat sinks, radiators, and air conditioning systems. In the case of losing heat, the fin is exposed to a higher temperature fluid or surface. The increased surface area of the fin allows for more efficient heat dissipation into the surrounding medium, facilitating heat transfer from the fin to the environment. The larger surface area promotes faster cooling by increasing the convective heat transfer coefficient.

Conversely, in the case of collecting heat, the fin is exposed to a lower temperature fluid or surface. The enlarged surface area enables the fin to efficiently absorb heat from the surrounding medium. The greater contact area enhances the convective heat transfer between the fluid and the fin, allowing for effective heat absorption.

In both scenarios, fins optimize heat transfer by providing a larger surface area for heat exchange, improving the convective heat transfer process, and enabling efficient heat dissipation or absorption, depending on the application.

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