How much is 100 km in an hour?

I have no idea im doing the same thing

Answer:

1). If the algae doubles every day, it will take 15 days for it to cover half the lake. This means it would happen on January 15.

2). Your friend may be skeptical because they may not believe that the algae can grow so quickly and cover the entire lake in just 30 days. Alternatively, they may not believe that you have accurate information about the situation.

3). Removing most of the algae on January 29 would significantly reduce the amount of algae in the lake and would likely help prevent the lake from becoming completely covered. However, if 1% of the surface is still covered with algae on February 1, it is possible that the problem has not been fully solved and the algae could continue to grow and potentially become a problem again in the future. It would be best to continue monitoring the lake and taking action to prevent the algae from growing.

If p1, p2 and p3 are probabilities of surviving for years 1, 2 and 3 respectively, then the cumulative probability of surviving for 3 years is p1 + p2 + p3

The probability of surviving for 1 year = p1

The probability of surviving for 2 year = p2

The probability of surviving for 3 year = p3

The probability is the ratio of the number of favorable outcomes to the total number of outcomes.

The cumulative probability is defined as the probability distribution of random variables

The cumulative probability = p1 + p2 + p3

Therefore, the cumulative probability of surviving for 3 years is  p1 + p2 + p3

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The location of the circumcenter, of the obtuse triangle, which is the center of the circle that inscribes the triangle is at a point lower than the base of the triangle, and therefore, outside the triangle, because the angle of the arc formed by the base at the center is larger than 180°, which is the angle formed by the diameter/ The correct option is option c.

c. Outside the triangle

The circumcenter is the point of intersection of the perpendicular bisectors of the sides of the triangle.

The location of the circumcenter can be inside the triangle, outside the triangle, or on the triangle.

The circumcenter is located on the inside of an acute triangle, while it is located on the hypotenuse side of a right triangle.

The circumcenter is the location of the center of the circle that circumscribe the triangle, such that in an acute triangle, the angle at the center (twice the angle at the circumference), is always less than 180°, which is the angle made by the diameter, which keeps the diameter line and the circumcenter, passing inside the triangle.

However, in an obtuse triangle, the angle at the center, is larger than 180°, such that the line joining the base of the triangle, inscribed in the circle is located above the diameter, and therefore, located above the circumcenter.

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Answer:

8 words per minute.

Step-by-step explanation:

Divide 48 by 6

Answer:

33.33%

Step-by-step explanation:

Calculate percentage change from

V1 = 9 to V2 = 12

(V2-V1)|V1|×100

=(12−9)|9|×100

=3/9×100

=0.333333×100

=33.33%

To write, to examine, to take, or to cooperate are examples of verbs that are infinitives. A split infinitive is one that has an adverb between it and the verb itself.

In the given question we have to explain, how we split an infinitive in a sentence.

As we know that,

Split infinitives are grammatical constructions in which the "to" and "infinitive" halves of what is more often referred to as the to-infinitive in modern linguistics are separated by an adverb or adverbial phrase.

To write, to examine, to take, or to cooperate are examples of verbs that are infinitives. A split infinitive is one that has an adverb between it and the verb itself.

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Answer:

The ratio of perch to carp to trout in the pond is 3:3:4, which is the simplest form. This means that for every 3 perch, there are 3 carp and 4 trout.

When the area of a figure is enlarged by a scale factor of 3, then the area of the figure will be three times of the original area of the figure.

Here, the area of the figure is enlarged by a scale factor of 3

The scale factor is defined as the ratio between the scales of the original object or measurement and the new measurement or object

When the scale factor is greater than 1 the size of the new figure will increase and if the scale factor is less than 1 size of the new figure decreases

Here scale factor is 3, so the area of the figure is increased by three times

Therefore, the the area of the new figure will enlarged by three time

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Answer:

length of rope=34.56

Step-by-step explanation:

1) find the circumference of the circle (its the full circle just separated into 2 halves)

c=2[tex]\pi[/tex]r

c=2[tex]\pi[/tex]4

c=25.13

2) find the circumference of the smaller circle

c=2[tex]\pi[/tex]r

c=2[tex]\pi[/tex]3

c=18.85

divide this answer by 2 because its a semi-circle

c=9.43

3) add the 2 values together

length of rope=34.56

The solution of the given linear equation can be obtained as x = 0.4.

The distributive property states that the product of a number and the sum of other numbers is equal to the sum of their individual products.

It can be expressed as a(b + c + d) = ab + ac + ad.

The given linear equation can be solved as follows,

-2.5(4x - 4) = -6

Use distribute property in the RHS to obtain,

-2.5 × 4x - 2.5 × -4 = 6

=> -10x + 10 = 6

=> -10x = -4

=> x = 0.4

Hence, the given equation can be solved as x = 0.4.

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The point H is at 2.5 on the number line

Here we know that point F is at 4 and point G is at -2.

The distance between these 2 points is

4 - (-2)

= 4 + 2 units

= 6 units.

Now let the point H be at x on the number line.

Now it is given that

FH:GH = 3:9

or, FH/GH = 3/9

or, (4 - x) / (x - (-2)) = 3/9

or, (4 - x)/(x + 2) = 1 /3

or, 12 - 3x = x + 2

or, 4x = 10

or, x = 2.5

Hence point H is at 2.5

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Complete Question

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. On a number line, point F is at 4, and point G is at -2. Point H lies between point F and point G. If the ratio of FH to HG is 3:9, where does point H lie on the number line? Point H is at the number line.

By using trigonometry, it can be calculated that-

Distance from the top of the tree to the tip of the shadow is 15.46 feet

What is Trigonometry?

Trigonometry shows the relationship between sides and angles of a right angled triangle.

There are six trigonometrical functions

[tex]sin \theta, cos \theta, tan \theta, cot \theta, sec \theta, cosec \theta[/tex]

[tex]sin \theta = \frac{Perpendicular}{Hypotenuse}\\\\cos \theta = \frac{Base}{Hypotenuse} \\\\tan \theta = \frac{Perpendicular}{Base} \\\\cot \theta = \frac{Base}{Perpendicular} \\\\sec \theta = \frac{Hypotenuse}{Base} \\\\cosec \theta = \frac{Hypotenuse}{Perpendicular} \\\\[/tex]

Let the angle of elevation be [tex]\theta[/tex] and distance from the top of the tree to the tip of the shadow be d feet

Here the tree represents the perpendicular, shadow represents the base and distance from the top of the tree to the tip of the shadow represents the hypotenuse

A tree that is 15 feet tall casts a shadow that is 4 feet long

[tex]tan\theta = \frac{15}{4}\\\theta = tan^{-1}( \frac{15}{4})\\\theta = 75.1^{\circ}[/tex]

Now,

[tex]sin75.1^{\circ} = \frac{15}{d}[/tex]

[tex]0.97 = \frac{15}{d}\\d = \frac{15}{0.97}\\d = 15.46 \ feet[/tex]

Distance from the top of the tree to the tip of the shadow is 15.46 feet

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By means of Euclidean geometry and algebra, the line segment PQ has a length of 2 units.

In this problem we find the case of a geometric system formed by a line segment PR with a point Q on the line between P and R. Thus, a line segment PQ is inside the line segment described above.

According to the statement, the lengths of the line segments PR and QR are known and the length of line segment PQ can be known by Euclidean geometry and algebra:

PR = PQ + QR

PQ = PR - QR

If we know that PR = 10 and QR = 8, then the line segment PQ is calculated below:

PQ = 10 - 8

PQ = 2

In accordance with algebra and Euclidean trigonometry, the length of line segment PQ is 2.

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By solving a linear equation, it can be calculated that-

It takes 3.51 months for  Belvedere to weigh the same as Thor

What is a linear equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expressions by connecting the two algerbraic expressions by an equal to sign.

A one degree equation is known as linear equation.

A linear equation needs to be solved here

Let the number of months for Belvedere to weigh the same as Thor be x months

Thor weighs 192 pounds and plans on losing 2.1 pounds each month.

Weight of Thor after x months = 192 - 2.1x

Belvedere weighs 211 pounds and plans on losing 7.5 pounds per month.

Weight of Belvedere after x months = 211 - 7,5x

By the problem,

The linear equation is

192 - 2.1x = 211 - 7.5x

7.5x - 2.1x = 211 - 192

3.51 5.4x = 19

x = [tex]\frac{19}{5.4}[/tex]

x = 3.51 months

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Applying the sine ratio, the value of x is calculated as: x = 6.

The sine ratio is part of the trigonometric ratios that is used to solve a right triangle, which is expressed as:

sin ∅ = opposite side length / hypotenuse length

Given the following:

Apply the sine ratio to find the value of x:

sin 45 = 6√2/x

Multiply both sides by x

sin 45 × x = 6√2

Divide both sides by sin 45:

sin 45 × x / sin 45 = 6√2/sin 45

x = 6√2 / √2/2

x = 6√2 × 2/√2

x = 12/2

x = 6

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By using the rule of construction of a line segment,

The steps for copying line segment AB to create line segment CD in the proper order are given below.

What is a line?

Anything that has only length but no breadth and height is called a line.

Part of a line is called line segment.

The steps for copying line segment AB to create line segment CD in the proper order are

Step 1: Set the compass width to AB

Step 2: Place the compass point at point c and draw an arc

Step 3: Mark a point D anywhere on the arc

Step 4: Draw CD

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Answer: B.83

Step-by-step explanation:

Answer: B.83

Step-by-step explanation:

The number 2,158 is called the numerator or dividend, and the number 26 is called the denominator or divisor.

The quotient of 2,158 and 26, the ratio of 2,158 and 26, as well as the fraction of 2,158 and 26 all mean (almost) the same:

2,158 divided by 26, often written as 2158/26. 2,158 divided by 26 = 83

The result of 2158/26 is an integer, which is a number that can be written without decimal places.

   2158 divided by 26 in decimal = 83

   2158 divided by 26 in fraction = 2158/26

   2158 divided by 26 in percentage = 8300%

For Function 3(5/4)³ , 3 is inital value , 5/4 is base with (-∞, ∞) as Domain

An exponential function is one with the mathematical formula f (x) = ax, where "x" is a variable and "a" is a constant that serves as the function's base and must be greater than 0.

An exponential function f(x) = abˣ,

According to the question,

The given exponential function : f(x) =3(5/4)³

Here, 3 is the Inital value

The base of the function is 5/4

As the function is real, Domain = (-∞, ∞)

The function given only has one value. That is the entirety of its range: [3(5/4)^3, 3(5/4)^3]

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A type of statistical hypothesis known as a "null hypothesis" makes the case that a given set of observations does not have any statistical significance.

Using sample data, hypothesis testing is used to determine a hypothesis's credibility. It is represented as H0, and it is sometimes referred to as the "null."

Given; The average thickness and standard deviation of a sample of 50 eyeglass lens samples are 3.05 millimeters and.34 millimeters, respectively.

Such lenses should have a true average thickness of 3.20 mm. Utilizing a =.05

False hypothesis H0: Alternative hypothesis: mu1= mu2 HA: 'mu1' and 'ne'

Sample Size 50 Sample Mean 3.05 Sample Standard Deviation 0.34 Intermediate Calculations Standard Error of the Mean 0.0481 Degrees of Freedom 49 t Test Statistic -3.1196 Two-Tail Test Lower Critical Value -2.0096 Upper Critical Value 2.0096 p-Value 0.0030 Reject the null hypothesis

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Step-by-step explanation:

80()#-$/-38३८8३88353738३३

the answer is 5 and negative 2

The smallest perfect number is 6.

Any positive integer whose sum is equal to its divisors is known as a perfect number. A point to be noted is that the number itself is not included here.

If we go serially,

1 cannot be included as its only divisor is the number itself.

2's divisor is 1, and we can clearly see they are not equal.

3's divisor is 1 again. Hence not a perfect number.

4's divisor is 1 and 2.  1 + 2 = 3, which again is not 4.

5's divisor is 1.

6's divisors are 1, 2 and 3.

We can see that 1 + 2 + 3

= 6

Hence, the smallest perfect number is 6.

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6 is the smallest or first perfect number in a mathematics.

Any positive integer in which whose sum is equal to its divisors is known as a perfect number. A point is to be noted that should not be a number itself is not included here as required so the number should be deterministic .

1  is  a number  cannot be included as its only divisor is the number to  itself.

2's divisor is 1, and we can clearly see that  they are not equal.

3's divisor is 1 again. Hence the number 1 is not a perfect number.

4's divisor is 1 and 2.  1 + 2 = 3, which again is not 4.

5's divisor is 1.

6's divisors are 1, 2 and 3.

We can see that 1 + 2 + 3 = 6

Hence, the smallest perfect number is 6.

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Question

The two lines graphed below are not parallel. How many solutions are there to

the system of equations?

•A. Infinitely many

•B. Two

•C. Zero

•D. One

D: One is the answer

Part A) If the original price of the model car was $40, and it was sold on the third day, with a daily discount of 5%, the sales amount is $34.30.

Part B) The percentage discount from the original price is 14%.

The percentage discount is the total discount divided by the original price multiplied by 100.

In this instance, we compute the total discount as $5.70, then express this value as a numerator with $40 as the denominator.  The quotient is multiplied by 100.

Original price of the model car = $40

Daily discount = 5%

The date the car sells = the third day

The sales price on the third day = $34.30 ($40 x 95% x 95% x 95%)

Total discounts = $5.70 ($40 - $34.30)

Percentage discount for three days =14.25% ($5.70/$40 x 100)

= 14%

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The probability that Mia is on time to exactly one of the classes is 0.5

Given that

probability of she is late for the art class (x)= 0.5

probability of she is late for the calculus class(y) = 0.4

the probability of she is not late for the art class (z)= 1 - x = 1 - 0.5 =0.5

the probability of she is not late for the calculus class(p)= 1 - y = 1 - 0.4 = 0.6

the probability that Mia is on time to exactly one of the classes =

Probability of arriving (late for Calculus and on time for Art)) or (late for Calculus and on time for Art)

= (x × p) + (y × z)

=(0.5 × 0.6) +(0.4 × 0.5)

=0.3+0.2

= 0.5

The probability that mia is on time to exactly one of the classes = 0.5

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Answer:

$5.25

Step-by-step explanation:

3 + .75(3)

3 + 2.25

5.25