The first four terms of a sequence are shown.
2, 10, 50, 250, 1250...
Write an explicit function to model the value of the nth term in the sequence such that f(1) = 2.
(i will mark you brainliest if you’re right please i’m dying)
please help please please please

Answer:

Step-by-step explanation:

The measure of the ​angles are 51° and 39°.

When the sum of two angles is equal to 90 degrees, they are called complementary angles. For example, 30 degrees and 60 degrees are complementary angles.

Given:

Two pieces of wood are cut to form complementary angles.

One angle needs to be (2x +23) and the other angle needs to be (3x +27).

We have to find the measure of the larger angle?.

According to given question we have

Two angles are complementary when their sum is equal to 90°.

So, ( 2x + 23 ) + ( 3x + 27 ) = 90°

5x + 50° = 90°

5x=40°

x = 8°

Putting value of x in the angles given :

( 2x + 23 )° = 2(8°) + 23° = 39°.

( 3x +27 )° = 3(8°) +27° = 51°.

Therefore, the measure of the ​angles are 51° and 39°.

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The tennis ball has traveled a horizontal distance of 3.717 m, to the nearest tenth of a metre, when it lands on the ground. Hence, the correct option is (A) 3.7.

The given function is h(d) = -0.12d² +0.22d+1.1.

It models the path of a tennis ball hit from a height of 1.1 m above the ground.

Here, d represents the horizontal distance in meters, and h(d) represents the height in meters.

To find how far the tennis ball travelled horizontally when it lands on the ground, we need to find the value of d when h(d) = 0, because the ball will hit the ground when its height is zero.

Substituting h(d) = 0 in the given function, we get:

0 = -0.12d² +0.22d+1.1

Simplifying, we get: 0.12d² - 0.22d - 1.1 = 0

We can solve this quadratic equation using the quadratic formula, which is given by:

-b ± sqrt(b² - 4ac) / 2a, where a, b, and c are the coefficients of the quadratic equation.

Here, a = 0.12, b = -0.22, and c = -1.1.

Substituting the values, we get:

d = [0.22 ± sqrt(0.22² - 4(0.12)(-1.1))] / 2(0.12)

Simplifying,

We get:

d = [0.22 ± sqrt(0.5964 + 0.528)] / 0.24d

= [0.22 ± sqrt(1.1244)] / 0.24d

= [0.22 ± 1.0604] / 0.24

We get two values of d as follows:d = 3.717 m, -1.598 m

Since the ball cannot travel a negative distance, the only possible solution is d = 3.717 m.

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We can use Pythagoras's theorem expression:

Where h is the hypotenuse of the triangle and a and b are its legs, in this case, we have the value of the length of one leg and the value of the length of the hypotenuse, then we can solve for the other leg length like this:

Now let's replace the values from the figure, b is x, h is 10 and a is 6

Then, x equals 8

Answer:

A quadrilateral.

Step-by-step explanation:

The shape has 4 sides, so it is a quadrilateral.

Answer:

dart

Step-by-step explanation:

Answer: 13/25

Step-by-step explanation: it is equal to 52% which is greater than 50%

50% is greater than 13/25. To compare these two values, you can convert both of them to a common denominator, such as 50%. 50% is equal to 1/2, so 13/25 is equal to 52/50, which is less than 1/2 or 50%. Alternatively, you can also express both fractions as decimals and compare the two values that way. 50% is equal to 0.5, and 13/25 is equal to 0.52, so 50% is still greater than 13/25.

we can use trigonometry

where a is the angle

oppositeside and the oppiste side from the angle a

so replacing

the measure of theta is 11.57°

The component form of the vector that describes the drummer's movement is <4, -3>.

The component form of a vector is given by the difference between the coordinates of the endpoints.

The initial point is (1, 4) and the final point is (5, 1).

Thus, the horizontal component is the difference between the x-coordinates, which is 5 - 1 = 4,

and the vertical component is the difference between the y-coordinates, which is 1 - 4 = -3.

Therefore, the component form of the vector that describes the drummer's movement is <4, -3>.

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Answer:

I think the two answers would be A & D.

Explanation:

Sorry if I'm wrong.

Answer:

The answer is D

Answer:

We can use the proportion:

48 pages / x = 80% / 100%

where x is the required length of the paper in pages.

First, we can simplify the right-hand side of the equation:

80% / 100% = 0.8

Next, we can solve for x by cross-multiplying:

48 pages / 0.8 = x

x = 60 pages

Therefore, the required length of the paper is 60 pages

Answer:

B,E,C

E,D, maybe G

Step-by-step explanation:

Colliers lie on a straight line

The value of x is approximately 44.31km

Firstly, we should know that 1 mile is not the same as kilometres, therefore:

1 mile = 1.60934 km.

Since the difference of x and y gives us 27, we represent it as:

x - y = 27 (in km)

But x is given in miles, so we have

1.60934x - y = 27km

Also the question says the distance x is same as y, then we replace y with x in the above equation:

1.60934x - x = 27

0.60934x = 27

x = 27/0.60934

Therefore x = 44.31km

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Answer:

.25 miles is your answer.

The sum of the measures of the angle of a triangle is 180 degrees.

The given triangle is a type of triangle and the type of triangle a scalene triangle.

For a scalene triangle, the measure of the three sides are unequal and the sum of the interior angle of a triangle is 180 degrees.

Hence the measure of the angles <A, <B and <C are all less than 90 degrees since they are all acute angles.

We can therefore conclude that:

m<A + m<B + m<C = 180 degrees

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Answer:

the red one represents nature trails in Panama city. because by plugging in a number into the equation say for 1 in x = y being 3 which corresponds to be linear.

Jacksonville will have more nature trails sine the formula is growing exponentially rather than Panama linear growth.

Answer:

The answer is 7............

Answer:

y = -4 - (-11)

Since all the variables and constants are together on each side, just solve as is.

y = -4 - (-11)

y = 7

Step-by-step explanation:

hope this helps:)

Answer:

$(x - 1425)/3

Step-by-step explanation:

Let total monthly budget be x

Amount spent on mortgage = $1425

Remaining balance after spending on mortgage = x - $1425

Amount spent on recreational activities = one-third of the balance

Expressing amount spent on recreational activities as an equation will give;

Amount spent on recreational activities = 1/3 of x - $1425

= 1/3 × ( x - $1425)

= ( x - $1425)/3

Hence the required equation is;

R = $(x - 1425)/3

R means recreational activities

We want to write an equation for the amount of money that she uses on recreational activities.

The equation is: r(x) = (1/3)*(x - $1,425).

We know that her total monthly budget is x dollars.

She spends $1,425 on her mortgage.

So the remaining budget is (x - $1,425).

We know that she uses one-third of it on recreational activities, then the equation we want is just:

r(x) = (1/3)*(x - $1,425).

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The probability that two diagonals chosen at random intersect inside the decagon is 7/45

A decagon is a 10-sided polygon, and it has 10 vertices.

In a regular decagon, there are 10C2 = 45 pairs of distinct vertices.

The total number of diagonals that can be drawn between these pairs of vertices is (10 * 9) / 2 = 45.

To find the number of diagonals that intersect inside the decagon, we need to find the number of diagonals that do not intersect at a vertex.

A diagonal that does not intersect at a vertex is called an interior diagonal, and the number of these is given by (n-3) where n is the number of sides in the polygon.

For a decagon, the number of interior diagonals is (10-3) = 7

Therefore, probability= favorable events/ total number of events = 7/45

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The learning preference category that best describes a high school fine arts student who prefers a studio lesson that involves modeling with clay over a virtual field trip to the Louvre is a kinesthetic learner.

Kinesthetic learners are individuals who learn best through hands-on, physical experiences and activities. They tend to be active and enjoy engaging their bodies in learning, such as manipulating objects or performing movements. For this student, modeling with clay provides a hands-on, physical experience that allows them to learn through touch and movement. They can feel the texture and weight of the clay, and manipulate it to create their desired form. This type of learning experience is much more engaging and effective for a kinesthetic learner compared to a virtual field trip to the Louvre, which is primarily a visual learning experience.

In conclusion, a kinesthetic learning preference involves hands-on, physical activities and experiences, and this preference is evident in the student's preference for a studio lesson that involves modeling with clay over a virtual field trip to the Louvre.

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a=1

Hope this helps

have a great day!

Step-by-step explanation:

So, Lana gave away 26.32% of he Pokemon cards  to her little brother.

To find the percentage of cards Lana gave away, we can use the formula:(Quantity given away / Total quantity) * 100.

In this case, Lana gave away 125 cards out of her total collection of 475 cards.Plugging these values into the formula, we have:

(125 / 475) * 100 = 0.2632 * 100 = 26.32%.

Lana gave away 26.32% of her Pokemon cards to her little brother.

Alternatively, we can calculate the percentage by subtracting the remaining cards from the total and finding the ratio:

Percentage given away

= (Cards given away / Total cards) * 100

= (125 / 475) * 100

= 26.32%.

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Answer: 7B

Step-by-step explanation:

Answer: 3,600

dont quote me on it doing it the way i learned how to lol

Step-by-step explanation:     Volume = length x width x height.

Answer:

917.33

Step-by-step explanation:

Top conic volume formula: ⅓ r²h=⅓(16/2)²*(18-12.5)

                                                      =⅓8²*5.5

                                                      =⅓352

                                                      =117.33

Volume formula of a cylinder: V=r²h

                                                =8²*12.5

                                                =800

117.33+800=917.33

We have evidence to suggest that the true percentage of college degrees in mathematics is different from 1%.

The null hypothesis is a type of hypothesis that explains the population parameter and is used to examine if the provided experimental data are reliable.

To test the claim that the percentage of college degrees in mathematics is not 1%, we can use a hypothesis test. Let's assume the null hypothesis is that the true percentage of college degrees in mathematics is 1%, and the alternative hypothesis is that it is different from 1%.

- Null hypothesis: The percentage of college degrees in mathematics is 1%.

- Alternative hypothesis: The percentage of college degrees in mathematics is different from 1%.

We can use a binomial distribution to model the number of graduates with math degrees in a sample of 12,317. Under the null hypothesis, the expected number of graduates with math degrees is:

Expected value = sample size * probability of math degrees = 12,317 * 0.01 = 123.17

Since we are testing at a 0.10 level of significance, the critical values for a two-tailed test are ±1.645 (using a standard normal distribution table).

The test statistic can be calculated as:

z = (observed value - expected value) / standard deviation

The standard deviation of the binomial distribution can be calculated as:

√(sample size * probability of success * (1 - probability of success))

So,

standard deviation = √(123.17 * 0.01 * 0.99) = 1.109

The observed value is 148.

The test statistic is:

z = (148 - 123.17) / 1.109 = 22.38

Since the absolute value of the test statistic is greater than 1.645, we can reject the null hypothesis at the 0.10 level of significance.

Therefore, we have evidence to suggest that the true percentage of college degrees in mathematics is different from 1%.

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The given mass of a metal object is 150 kilograms, and the volume is 1000 cubic centimeters. We can calculate the density of the metal object using the formula;

Density = mass/volumeBy substituting the given values, we get;Density = 150 kg/1000 cubic cmDensity = 0.15 kg/cubic cmThe density of the metal object is 0.15 kg/cubic cm.More than 250: However, since the density of the metal is less than 250 kg/cubic cm, it is most likely not a dense metal like platinum or tungsten, which have densities greater than 250 kg/cubic cm.

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Gram-negative bacteria generally include lipopolysaccharide (LPS) in their cell walls. Therefore, the type of cell we would find lipopolysaccharide in its cell wall is gram-negative bacteria.  

Compared to gram-positive bacteria, gram-negative bacteria have a more intricate cell wall construction. Gram-negative bacteria's outer membrane contains a significant amount of LPS, which is essential for maintaining structural integrity and providing defence against foreign invaders. It is made up of a lipid portion that is embedded in the outer membrane and a polysaccharide section that extends outside of it.

The distinctive traits and abilities of gram-negative bacteria, such as their resistance to some antibiotics and their capacity to incite inflammatory reactions in host species, are made possible by the presence of LPS in the cell wall.

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Answer:

10.5

Step-by-step explanation:

v=158

l×w×h =158

l×5×3=158

l×15=158

L =158÷15=10.5

There are 12,420 ways to choose the 12 members of the Board of Directors (BOD) from 12 parent-nominees and 7 teacher-nominees, with the requirement of having 8 parents in the BOD.

To determine the number of ways to choose the members of the BOD, we can use the concept of combinations. Since there must be 8 parents in the BOD, we need to choose 8 members from the parent-nominees and 4 members from the teacher-nominees.

The number of ways to choose r items from a set of n items is given by the formula C(n, r) = n! / (r! * (n-r)!), where n! denotes the factorial of n.

In this case, we want to choose 8 parents from 12 parent-nominees and 4 teachers from 7 teacher-nominees. Applying the formula, we have C(12, 8) * C(7, 4) = (12! / (8! * (12-8)!) * (7! / (4! * (7-4)!)) = (12! / (8! * 4!)) * (7! / (4! * 3!)) = 495 * 35 = 12,420.

Therefore, there are 12,420 ways to choose the 12 members of the BOD from 12 parent-nominees and 7 teacher-nominees, with the requirement of having 8 parents in the BOD.

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Answer:

Standard form:

2x + 4 = 0

Factorization:

2(x + 2) = 0

Solutions:

x = −4 /2  = −2

Answer:

x = -2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3x+5−(5x+8)=−4x−7

3x+5+−1(5x+8)=−4x−7(Distribute the Negative Sign)

3x+5+−1(5x)+(−1)(8)=−4x−7

3x+5+−5x+−8=−4x−7

3x+5+−5x+−8=−4x+−7

(3x+−5x)+(5+−8)=−4x−7(Combine Like Terms)

−2x+−3=−4x−7

−2x−3=−4x−7

Step 2: Add 4x to both sides.

−2x−3+4x=−4x−7+4x

2x−3=−7

Step 3: Add 3 to both sides.

2x−3+3=−7+3

2x=−4

Step 4: Divide both sides by 2.

\(\frac{2x}{2} = \frac{-4}{2}\)

x = −2

The greatest common divisor (GCD) is the largest positive integer that divides two numbers without leaving a remainder.

In this case, you are looking for the GCD of a and b, where the GCD is 1. When the GCD is 1, it means that a and b are relatively prime or coprime, which means they do not share any common factors other than 1.
Given the information provided, it seems that a and b are related through an equation in the form 5k, where k is an integer starting from 0. However, the question appears to have some typos or missing details, making it challenging to accurately determine the values of a and b.
To provide a more accurate answer, please provide more information or clarify the details of the question.

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Answer:

6

Step-by-step explanation:

f(6) = -6   this is the value when the x value is 6

g(5) = -5 this is the value when the x value is 5

4 * f(6) -6*g(5)

4*-6 - 6* -5

-24 + 30

6

Answer:

6

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