Which type of sediment deposit has an average rate of deposition (per 1000 years) of 1 centimeter (0.4 inch)?

Answers

Answer 1

The sediment deposit that has an average rate of deposition

(per 1000 years) of 1 centimeter is bigenous ooze,pelagic deposit.

Given that average rate of deposition is  per 1000 years of 1 centimeter.

We are required to find the type of sediment deposit that has an average rate of deposition (per 1000 years) of 1 centimeter.

Biogenic ooze, which is also called biogenic sediment, is any pelagic segment that contains more than 30 percent skeletal material. These sediments can be made up of either carbonate ooze or siliceous ooze.

In plagic sediments feldspar is obtained from local volcanic sources, whereas quartz may be introduced from the continents by wind,upsetting simple patterns.A large number of accessory minerals occur in shales.

Hence if the sediment deposit that has an average rate of deposition

(per 1000 years) of 1 centimeter is bigenous ooze,pelagic deposit.

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Related Questions

Give the equation of a line that has
a. no x-intercept
b. one x-intercept and one y-intercept
c. an infinite number of x-intercepts.
d. a y-intercept of -7.

Answers

a. x=5

b. y=x

c. y=0

d. y=x-7

Which statements accurately describe how to determine the y-intercept and the slope from the graph below? On a coordinate plane, a line goes through points (0, negative 6) and (3, 0). To find the y-intercept, begin at the origin and move horizontally to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction. To find the y-intercept, begin at the origin and move horizontally to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction. To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction. To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction.

Answers

Answer:

To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction.

I cant figure this out

Answers

24 is the answer! Its all about isolation, i tried to show it a little better in the image attached. Hope this helps!!

Suppose we flip four coins simultaneously: a penny, a nickel, a dime, and a quarter. What is the probability that at least $15$ cents worth of coins come up heads

Answers

The probability that at least $15$ cents worth of coins come up heads is

P(H)=1/16

This is further explained below.

What is the probability that at least $15$ cents worth of coins come up heads?

Generally, We are doing a simultaneous toss of four coins. How likely is it that every coin will land with the head side facing up?

It has been established by everyone who has participated so far that the solution is 116, which can be written as

(1/2)4=1/16.

On the other hand, a person who is just starting out can benefit from another method to see things.

I'm going to go ahead and make the assumption that each coin is balanced and that each side has an equal chance of facing up.

Each coin has the potential to exist in either of two states (heads or tails). Therefore, there are

2^4 = 16 different permutations (states) that the four coins may be in together as a group.

Only one of these possible permutations results in all heads. This results in the correct value of 1/16.

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A pizza shop advertises that it puts 0.5 pounds of real mozzarella cheese on its medium pizzas. In addition, it is discovered that the quantity of cheese put on the population of all medium pizzas has a normal distribution with mean 0.495 and standard deviation 0.025. Calculate the minimum number of pounds of mozzarella cheese necessary to say that your medium pizza ranked in the top 3% of all medium pizzas in terms of cheese content.

Answers

The minimum number of pounds of mozzarella cheese is necessary to say that your medium pizza ranked in the top 3% of all medium pizzas in terms of cheese content.

P(z < 0.2) = 0.5793

What is a normal distribution?

Generally, The normal distribution, also known as the Gaussian distribution, is a kind of probability distribution that is symmetric around the mean. This means that it demonstrates that data that are closer to the mean are more likely to occur than data that are farther away from the mean. When represented graphically, the normal distribution takes the shape of a "bell curve."

In conclusion, To begin, we calculate the z score to determine the crucial value. If

[tex]z =\frac{ (x - u)}{ s}[/tex]

x = critical value = 0.5

u = mean = 0.495

Hence

[tex]z =\frac{ (x - u)}{ s}[/tex]

z= 0.2

Therefore, by making use of a table or some other kind of technology, the left-tailed area of this is

P(z < 0.2) = 0.5793

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Complete Question

A pizza shop advertises that it puts 0.5 pounds of real mozzarella cheese on its medium pizzas. In addition, it is discovered that the quantity of cheese put on the population of all medium pizzas has a Normal distribution with a mean of 0.495 and standard deviation 0.025. The probability that a randomly selected pizza has less than the advertised amount of mozzarella cheese is:

a) 0.2000

b) 0.5793

c) 0.4207

d) 0.800

A clock has a diameter of 16 inches. how far does the hour hand travel during 5 hours? use 3.14 for pi.

Answers

Distance hour hand travel in 5 hours is 20.94 inches.

What is a diameter?A diameter of a circle is any straight line segment that passes through the center of the circle and has endpoints on the circle in geometry. It is also known as the circle's longest chord. Both definitions apply to the diameter of a sphere.

To find the distance hour hand travel in 5 hours:

Let's say the hour hand completed one full round around the clock. If this was the case, it would have been 2[tex]\pi[/tex]×8 inches around. We know that the hour hand only traveled 5 hours around the clock rather than 12, thus our formula is 2[tex]\pi[/tex]×8×( 5/12 ).Distance hour hand travel is 20.94 inches.

Therefore, the distance hour hand travel in 5 hours is 20.94 inches.

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Anne can make 6 headbands 3/5 from meters of cloth. Which expression shows the amount of cloth needed to make 1 headband? What is the solution to the expression?

Answers

The amount of cloth needed to make 1 headband is 10 meters.

Unit value

Number of headbands Anne made = 6

Total clothes used = 3/5 meters

Cloth needed to make 1 headband = Number of headbands Anne made / Total clothes used

= 6 ÷ 3/5

= 6 × 5/3

= (6 × 5) / 3

= 30/3

= 10 meters

Therefore, the amount of cloth needed to make 1 headband is 10 meters.

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The long division below shows the first term of the quotient. which polynomial should be subtracted from the dividend first? x 2 startlongdivisionsymbol x cubed 3 x squared x endlongdivisionsymbol to get a quotient of x squared

Answers

The polynomial that should be subtracted from the dividend first is; x³ + 2x²

How to carry out polynomial long division?

The long division we are given is;

        __________

x + 2 ) x³ + 3x² + x

Now, when we divide the polynomial by (x + 2), it means that the first quotient will be x².

Then by the multiplication of (x + 2) and x², we get a polynomial which will be subtracted from the dividend. Thus, we have;

(x + 2) * (x²) = x³ + 2x²

Thus, the polynomial to be subtracted is x³ + 2x²

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Which equation represents a population of 370 animals that increases at an annual rate of 11% ?

Answers

The equation represents a population of 370 animals that increases at an annual rate of 11% is .

What is an exponential function?

It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a^x

where a is a constant and a>1.

Given that,

A population of 370 animals that increases at an annual rate of 11%

a = 370, r = 11%

[tex]p=a(1+r)^{t}[/tex]

  = [tex]370(1+0.11)^{t}[/tex]

p  =  [tex]370(1.11)^{t}[/tex]

Hence, The equation represents a population of 370 animals that increases at an annual rate of 11% is .

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A polygon is broken up into 4 non-overlapping triangles by drawing lines from one vertex to all other non-adjacent vertices. what is the name of the polygon?octagonhexagonheptagonquadrilateral

Answers

The name of the polygon is (B) hexagon.

What is a hexagon?A hexagon is a six-sided polygon or 6-gon in geometry. The sum of any simple (non-self-intersecting) hexagon's internal angles is 720°.

To find the name of the polygon:

Let the number of sides in a polygon be n.Triangles are formed by drawing diagonals from one vertex to each of the others.Because there is no overlapping of the triangles, no diagonal will be drawn back to itself, and the diagonals to each adjacent vertex will lie on top of the adjacent sides, so the number of diagonals from a single vertex is three less than the number of sides or n - 3, and the number of triangles is one more, or n - 2.

Number of triangles = number of sides in polygon - 2 Number of triangles = n - 2 n = 4 + 2 n = 6The polygon containing 6 sides is called a hexagon.

Therefore, the name of the polygon is (B) hexagon.

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The complete question is given below:

A polygon is broken up into 4 non-overlapping triangles by drawing lines from one vertex to all other non-adjacent vertices. What is the name of the polygon?

A) Octagon

B) Hexagon

C) Heptagon

D) Quadrilateral

Evaluate the line integral
6 integral yzcosx ds x = t, y = cost, z = sint 0 < t < pi

Answers

It looks like the integral is

[tex]\displaystyle 6 \int yz\cos(x) \, ds[/tex]

With [tex]x=t[/tex], [tex]y=\cos(t)[/tex], and [tex]z=\sin(t)[/tex], the line element is

[tex]ds = \sqrt{\left(\dfrac{dx}{dt}\right)^2 + \left(\dfrac{dy}{dt}\right)^2 + \left(\dfrac{dz}{dt}\right)^2} \, dt = \sqrt2 \, dt[/tex]

and so

[tex]\displaystyle 6 \int yz\cos(x) \, ds = 6\sqrt2 \int_0^\pi \cos^2(t) \sin(t) \, dt[/tex]

Substitute [tex]u = \cos(t)[/tex] and [tex]du=-\sin(t)\,dt[/tex], then

[tex]\displaystyle 6 \int yz\cos(x) \, ds = -6\sqrt2 \int_1^{-1} u^2 \, du = 12\sqrt2 \int_0^1 u^2 \, du = \boxed{4\sqrt2}[/tex]

where in the second-to-last equality, we have

[tex]\displaystyle -\int_1^{-1} = \int_{-1}^1[/tex]

and

[tex]\displaystyle \int_{-1}^1 u^2 \, du = 2 \int_0^1 u^2\,du[/tex]

by symmetry.

Find the general solution of the given system of odes. { dx/dt =2x 2y,dy/dt =x 3y}

Answers

The general solution of the given system of odes is

m=1 ; m=4    (real roots)

In arithmetic, a system of odes equations is a finite set of differential equations. Any such device may be either linear or non-linear. Also, such a machine can be both a machine of normal differential equations or a system of partial differential equations.

the compatibility conditions of an overdetermined system of odes equations may be succinctly stated in terms of differential forms (i.e., a shape to be specific, it needs to be closed). See integrability situations for differential systems for more.

It is an elaborately based poem praising or glorifying an event or character, describing nature intellectually as well as emotionally. A traditional ode is dependent on three essential parts: the strophe, the antistrophe, and the epode. Distinct forms together with the homostrophic ode and the abnormal ode also enter.

dx/dt = 2x+2y =   x^1 = 2x+2y     1

dy/dt = x+3y =    y^1 = x+ 3y        2

differentiating 1 with respect to 't'

x^11 = 2x^1+ 2y^1

y^1 = x+3y

x^11 = 2x^1= 2(x+3y)

x^11 = 2x^1+ 2x+ 6y

x^11 = 2x^1+ 2x+ 6(x^1-2x/2)

x^11 = 2x^1+ 2x+ 3x^1- 6x

x^11 = 5x^1 - 4x

x^11 -5x^1 - 4x

x^11 - 5x^1 -4x =0

Auxillary equation is m^5- 5m+4=0

m^2 - m - 4m + 4 = 0

m(m-1) -4 (m-1) =0

(m-1) (m-4) = 0

m=1 ; m=4    (real roots)

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Solve the inequality for w .
−9>6+5w

Answers

Hi :)

Let's use some Algebra skills to find w ^•^

————————————

First off, let's subtract both sides by 6

[tex]\longrightarrow\darkblue\sf{-9-6 > 5w}[/tex]

[tex]\longrightarrow\darkblue\sf{-15 < 5w}[/tex]

Divide both sides by 5

[tex]\longrightarrow\sf{-3 < w}[/tex]

Or

[tex]\longrightarrow\sf{w > -3}[/tex]

[tex]\tt{Learn\:More;Work\:Harder}[/tex]

:)

H=(,),()

F=(),()

Help please asap

Thanks so much

Answers

From the representation, the point H and F on the rectangle are H(-3,3) and F(2,-2).

According to the statement

we have given that the a rectangle on the graph with the two given points and we have to find the another points of the graph.

So, to find the points of the rectangle

firstly the given points are:

E(2,3) And G(-2,-2) and we have to find the point H and F.

So, The point H :

For the point H the lines of rectangle meet with each other at the 3 from origin on the x axis to the negative side and at the 3 from origin on the y axis.

So, the point H become H(-3,3)

And for point F:

For the point F the lines of rectangle meet with each other at the 2 from origin on the x axis to the positive side and at the 2 from origin on the y axis on the negative side.

So, the Point F become F(2,-2).

So, From the representation, the point H and F on the rectangle are H(-3,3) and F(2,-2).

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if a(5,3),b(0,0) and c(-3,5) are the vertices of a triangle then the value of AB.BC is

Answers

The dot product associated to sides AB and BC is 0.

What is the dot product generated by two sides of a triangle?

In this question we must find the dot product of two vectors associated with two surrounding sides of a triangle. First, we need to find the vectors associated to sides AB and BC:

Side BA

BA = (5, 3) - (0, 0)

BA = (5, 3)

Side BC

BC = (- 3, 5) - (0, 0)

BC = (- 3, 5)

By definition of dot product, the result associated to the two sides of the triangle is:

BA • BC = (5, 3) • (- 3, 5)

BA • BC = (5) · (- 3) + (3) · (5)

BA • BC = - 15 + 15

BA • BC = 0

The dot product associated to sides AB and BC is 0.

Remark

The statement is poorly formatted, the correct form is shown below:

If A(x, y) = (5, 3), B(x, y) = (0, 0) and C(x, y) = (- 3, 5) are the vertices of a triangle then the value of the dot product between vectors AB and BC is:

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he table shows the mean number of basketball goals made by four random samples of players from the school team during this year’s season. Sample # Sample Mean Number of Goals 1 7 2 4 3 5 4 8 Is a valid prediction for the mean of the population possible using these samples? No, there are not enough samples. Yes, the sample means are all less than 10. Yes, the variation of the sample means is small. No, the variation of the sample means is too great.

Answers

The valid prediction for the mean of the population possible using these samples is C. Yes, the variation of the sample means is small

What is a sample mean?

It should be noted that a sample mean is an average of a set of data . Also, the sample mean can be used to calculate the standard deviation, central tendency, and the variance of a data set.

The sample mean can be applied to a variety of uses, including calculating population averages.

Here, the sample variance is a measure of the degree to which the numbers in a list are spread out. Here, the numbers given are close to each other.

If the numbers in a list are all close to the expected values, the variance will be small and if they are far away, the variance will be large.

Therefore, the correct option is C.

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Answer:

C: Yes, the variation of the sample means is small.

Step-by-step explanation:

Correct answer on edge

The face of a clock is divided into 12 equal parts. the radius of the clock face is 10 inches. assume the hands of the clock will form a central angle. the face of a clock is divided into 12 equal parts. which statements about the clock are accurate? select three options.

Answers

The options C and E is a correct options which are

C. The minor arc measure when one hand points at 12 and the other hand points at 4 is 120°.

E. The length of the minor arc between 6 and 7 is approximately 5.2 inches.

According to the statement

we have given that the radius of the clock face is 10 inches and the face of a clock is divided into 12 equal parts.

And we have to choose the three statements which are correct from the given options.

So,

Check the all given options to find the correct options.

So, OPTION A :

360/12=30 degrees between each number

3-1 = 2 2*30 = 60 degrees so A is FALSE

Now, OPTION B:

C=2 x π x r

r=10

using 3.14 for PI = 10*3.14 =31.4 x 2 = 62.8 so B is TRUE

Now OPTION C:

30 x 4 = 120 degrees = TRUE

Now, OPTION D:

10-3 = 7

7/12 x 62.8 = 0.5833*62.8 = 36.63 inches = FALSE

Now, OPTION E:

1/12=0.0833 x 62.8 = 5.23 rounded to 5.2 = TRUE

So, The options C and E is a correct options which are

C. The minor arc measure when one hand points at 12 and the other hand points at 4 is 120°.

E. The length of the minor arc between 6 and 7 is approximately 5.2 inches.

Disclaimer: This question was incomplete. Please find the full content below.

Questions:

The face of a clock is divided into 12 equal parts. The radius of the clock face is 10 inches. Assume the hands of the clock will form a central angle.

Which statements about the clock are accurate? Check all that apply.

A. The central angle formed when one hand points at 1 and the other hand points at 3 is 30°.

B. The circumference of the clock is approximately 62.8 inches.

C.The minor arc measure when one hand points at 12 and the other hand points at 4 is 120°.

D. The length of the major arc between 3 and 10 is approximately 31.4 inches.

E. The length of the minor arc between 6 and 7 is approximately 5.2 inches.

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5x + 1 over 2 y2
What is the value of the expression above when x = 3 and y = 2?

Answers

(5x + 1) / 2y^2
(5*3 + 1) / 2*2^2
(15+1) / 2*4
16/8
2

What is the value of log5 125?

Answers

[tex] \rm log_{5}(125) \\ \rm log_{5}( {5}^{3} ) \\ \rm1 \cdot3 \\ 3 \\ \therefore \tt log_{5}(125) = 3[/tex]

I need help, pls and thx

Answers

The solutions for the quadratic equation are given as follows:

x = -1, x = 7/5

What is a quadratic function?

A quadratic function is given according to the following rule:

y = ax^2 + bx + c

The solutions are:

[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a}[/tex][tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a}[/tex]

In which:

[tex]\Delta = b^2 - 4ac[/tex]

For this problem, the equation is:

5x² - 2x - 7 = 0.

Hence the coefficients are a = 5, b = -2 and c = -7, and then the solutions are found as follows:

[tex]\Delta = (-2)^2 - 4(5)(7) = 144[/tex][tex]x_1 = \frac{2 + \sqrt{144}}{10} = \frac{7}{5}[/tex][tex]x_2 = \frac{2 - \sqrt{144}}{10} = -1[/tex]

The solutions are:

x = -1, x = 7/5

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A herd of 21 horses has 6 white and some black horses. What is the ratio of white to black horses

Answers

The ratio of white to black horses is 2:5.

What is the ratio of white to black horses?

Ratio expresses the relationship between two or more numbers. Ratio is used to compare two or more numbers with each other. It shows the frequency that one value is contained within other value(s).

The ratio of white to black horses = number of white horses : number of black horses

number of white horses = 6 number of black horses :  total number of horses - number of white horses: 21 - 6 = 15

The ratio of white to black horses = 6 : 15

6 : 15 is not expressed in its simplest form yet. To convert the ratio to its simplest form, divide the numbers by a common factor of 6 and 15. A common factor is a number that divides two or more numbers perfectly with leaving any remainder. A common factor of both numbers is 3

(6/3) : (15/3) =  2 : 5

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Given the data cleanup problem of removing 0 values from a data set, the ____ algorithm scans a list from left to right and copies every legitimate value into a new list that it creates.

Answers

The copy over algorithm algorithm scans a list from left to right and copies every legitimate value into a new list that it creates.

According to the statement

We have given that the there is a algorithm which is used to data cleanup problem of removing 0 values from a data set, and scans a list from left to right and copies every legitimate value into a new list.

and we have to explain about that algorithm.

So,

Here we given that the algorithm copies and paste the values in the new files then

the algorithm is called the copy over algorithm.

So, The copy over algorithm is a a single specimen of something that occurs in a multiple edition, such as a book, article, etc. a matter to be reproduced in print or an imitation or reproduction of an original.

So, The copy over algorithm algorithm scans a list from left to right and copies every legitimate value into a new list that it creates.

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Given f(x)=3x^2+kx-7 and the remainder when f(x) is divided by x-4 is 81, then what is the value of k

Answers

Using the remainder theorem, the value of k in f(x) = 3x^2 + kx - 7 is 10

How to solve for k?

The given parameters are:

f(x) = 3x^2 + kx - 7

Divisor = x - 4

Remainder = 81

To solve for k, we use the remainder theorem

Set the divisor to 0

x -4 = 0

Add 4 to both sides of the above equation

x - 4 + 4 = 0 + 4

This gives

x = 4

Substitute x = 4 in the function f(x) = 3x^2 + kx - 7

f(4) = 3(4)^2 + k * 4 - 7

Evaluate the exponents

f(4) = 3 * 16 + k * 4 - 7

Evaluate the products

f(4) = 48 + 4k - 7

So, we have:

f(4) = 41 + 4k

The remainder is 81.

So, we have

41 + 4k = 81

Subtract 41 from both sides

4k = 40

Divide both sides of the above equation by 4

4k/4 = 40/4

Evaluate the division

k = 10

Hence, the value of k in f(x) = 3x^2 + kx - 7 is 10 using the remainder theorem

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An architectural drawing lists the scale as 1/4" = 1'. If a bedroom measures 634" by 412" on the drawing, how large is the bedroom?

Answers

For a bedroom measuring 6 3/4" by 4 1/2" on the drawing, the dimensions of the bedroom are 18 ft. by 27 ft.

Option (C) is correct.

In mathematics, a dimension is the length or width of an area, region, or space in one direction. It is just the measurement of an object's length, width, and height.

According to the question,

The scale of an architectural sketch is 1/4" = 1'. If, according to the drawing, a bedroom has the dimensions 6 3/4 by 4 1/2 inches.

Then, the dimensions of the bedroom in feets are calculated as follows:

As 1/4" = 1'

6 3/4" = 27'= 27 ft.

Similarly,

4 1/2" = 18' =18 ft.

Thus, the dimensions of the bedroom are: 18 ft. by 27 ft.

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David's car was valued at $38,000 in the year 2007. If it is continuously depreciating in value by 6% every year, how much will it be worth in 2017

Answers

The car will be worth $20467 in 2017

How to determine the worth in 2017?

The given parameters are:

Initial value, a = 38000

Depreciation rate, r = 6%

The value of the car after x years is represented by the following exponential equation

V(x)= a(1 - r)^x

Substitute the known values in the above equation

V(x) = 38000 * (1 - 6%)^x

2017 is 10 years from 2007

This means that x = 10

So, we have:

V(x) = 38000 * (1 - 6%)^10

Evaluate

V(x) = 20467

Hence, the car will be worth $20467 in 2017

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find the solution of the given simultaneous equations
y = 2x - 3
3x - 2y = 4

Answers

Answer:

Step-by-step explanation:

x+3y=1

The answer to the question is 2x=6

A basketball player averages 12.5 points per game. There are 24 games in a season. At this rate, how many points would the player score in an entire season?

In the entire season, the basketball player would score
point

Answers

Answer:

300 points

Step-by-step explanation:

Since we have a constant rate (12.5 points/game), we can find the number of points by setting up a proportion:

[tex]\frac{12.5}{1}=\frac{x}{24}\\\\x=(12.5*24)=300[/tex]

Given: f(x) = 2x + 5 and g(x) = x² and h(x) = -2x
h(g(f(x))) =
RETRY
X² +
X +

Answers

Answer: [tex]-8x^2 -40x-50[/tex]

Step-by-step explanation:

[tex]h(g(f(x))\\\\=h(g(2x+5))\\\\=h((2x+5)^2)\\\\=h(4x^2 +20x+25)\\\\=-2(4x^2 +20x+25)\\\\=-8x^2 -40x-50[/tex]

The value of the composite function h(g(f(x))) = -8x² - 40x - 50.

We have,

To find the composition h(g(f(x))), we need to substitute the function g(f(x)) into h(x) and simplify.

Given:

f(x) = 2x + 5

g(x) = x²

h(x) = -2x

First, we find g(f(x)) by substituting f(x) into g(x):

g(f(x)) = g(2x + 5) = (2x + 5)² = (2x + 5)(2x + 5) = 4x² + 20x + 25

Now, we substitute g(f(x)) into h(x):

h(g(f(x))) = h(4x² + 20x + 25) = -2(4x² + 20x + 25) = -8x² - 40x - 50

Therefore,

The value of the composite function h(g(f(x))) = -8x² - 40x - 50.

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5 1/2 divided by 1 3/8

Answers

Answer:

4

Step-by-step explanation:

1. Convert from mixed number to fraction

[tex]5\frac{1}{2} =\frac{5(2)+1}{2} =\frac{11}{2}[/tex]

[tex]1\frac{3}{8}=\frac{(1)(8)+3}{8} =\frac{11}{8}[/tex]

2. Divide fractions

[tex]\frac{\frac{11}{2} }{\frac{11}{8} } =\frac{(11)(8)}{(11)(2)} =\frac{8}{2} =4[/tex]

Hope this helps

Which of the diagrams below represents the statement "If it is an triangle,
then it has three vertices?

Answers

The answer is Figure A.

What is in a triangle?Three sides, three angles, and three vertices make up a triangle. A triangle's total internal angles are always equal to 180 degrees. This is referred to as the triangle's angle sum property.Triangles are three-sided shapes. The various kinds of triangles go by various names. The angles' size and the sides' length determine the type of triangle (corners). Equilateral, isosceles, and scalene triangles are the three varieties of triangles based on the length of the sides.A triangle is a closed, two-dimensional object with three sides, three angles, and three vertices. A polygon also includes a triangle. Triangle ABC is shown in the image above. Triangles can be found in a variety of everyday objects, such as sandwiches, traffic signs, clothes hangers, and billiards racks.

Given: "If it is an triangle, then it has three vertices.

To find which diagram represents the given statement.

From the first diagram

Triangles have three vertices because they are formed by the intersection of three triangles.

using the second diagram

Three vertices make up the triangle's intersection zone.

Therefore, we cannot infer from the second diagram that a triangle has three vertices.

As a result, figure A represents the stated assertion.

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