Mathematics High School

help no one is on biology

Fossils of a species of bear are found in layer 5. Which layer is most likely to have organisms that lived at the same time as the bear species?
A. Layer 4
B. Layer 2
C. Layer 1
D. Layer 8,

Answers

Answer 1
I think it would be layer 4
Answer 2

A = Layer 4..................................................

Related Questions

Instructions:Select the correct answer from each drop-down menu. The sum of the squares of two consecutive positive even numbers is 340. Find the numbers. The consecutive even numbers are

Answers

Looking at the problem, you can come up with an equation for the consecutive numbers. 

[tex] x^{2} + (x + 2)^{2} = 340[/tex]

If we expand the second term:
[tex] x^{2} + x^{2} + 4x + 4 = 340[/tex]

Combine like terms:

[tex]2 x^{2} + 4x + 4 = 340[/tex]

You can reduce this by dividing both sides of the equation by two:

[tex] x^{2} + 2x + 2 = 170[/tex]

And we transpose 170 to get a standard quadratic form that the right side will be zero:
[tex] x^{2} + 2x - 168 = 0[/tex]

Then factor the left side:
[tex](x +14)(x-12) = 0[/tex]

Find out the values of x that makes each factor = 0
x + 14 = 0
x = -14

We can eliminate the negative symbol because the problem is asking for positive even integers.

and;

x - 12 = 0
x = 12

Now we can say that the first positive integer is 12 and the second one is 14

lets name the numbers as x and x + 2
the sum of the squares of these 2 numbers are 340
x² + (x+2)² = 340 
x² + x² + 4x + 4 = 340
2x² + 4x - 336 = 0
we are left with a quadratic equation
coefficient of x is 2 therefore divide each number by 2
x² + 2x - 168 = 0
to solve the quadratic equation , the 2 factors whose product is 168x² and sum is 2x is -12x and 14x
x² + 14x -12x -168 = 0
x (x + 14) - 12(x + 14)=0
(x+14)(x-12) = 0
we have 2 possible values for x
x + 14 = 0                x-12 = 0
x = -14                          x = 12
from the 2 answers the correct answer is x = 12 as it should be a positive integer
one integer is 12 and consecutive even integer is 14
to check the product of the squared numbers 
= 14² + 12² 
= 196 + 144
= 340

What exponential function is the best fit for the data in the table?

x f(x)
2 -3
3 0
4 12




A. f(x) = 4(4)^x - 1 + 4

B. f(x) =4(4)^ x - 1 - 4

C. f(x) = 1/4(4)^x -1 + 4

D. f(x) = 1/4(4)^ x - 1 - 4

Answers

Answer: The correct answer is choice D.

There are multiple ways to get to the right answer. You could plot the points on a graphing calculator. Then, graph each function to determine which equation matches the points.

You could also input the x values and see which equation produces the y values in the chart. 

On thing to notice is the we have negative output values, there we need to pick either B or D, so the values go beneath the x-axis.

Answer:

option D.

Step-by-step explanation:

Data given in the table is

x           2         3          4

f(x)       -3        0          12

Now we will plug in the values of x in the given functions to find the correct exponential function.

For x =2

A). f(x) = 4(4)[tex]^{(x-1)}[/tex] + 4

     f(2) = 4(4)[tex]^{2-1}[/tex] + 4 = 4 × 4 + 4 = 20

B). f(x) = 4(4)[tex]^{(2-1)}[/tex] - 4

    f(2) = 4(4)[tex]^{2-1}[/tex] - 4 = (4)(4) - 4 = 16 - 4 = 12

C).  f(x) = 1/4(4)[tex]^{x-1}[/tex] +4

      1/4(4)[tex]^{2-1}[/tex] + 4 = [tex]\frac{1}{4}[/tex] × 4 + 4

     = 1 + 4 = 5

D). f(x) = [tex]\frac{1}{4}(4)^{x-1}-4[/tex]

     f(2) = [tex]\frac{1}{4} (4)^{2-1}-4=\frac{1}{4}(4)-4[/tex]

      = 1 - 4 = -3

We find option D in which f(2) = (-3). so the answer would be option D.

How many numbers less than 1000 are divisible by 7?

Answers

==> The number of positive integers divisible by 7 but not by 11 is 142 - 12 = 130. ==>the number of positive integers less than 1000 that are divisible by either 7 or 11is 142 + 90 - 12 = 220. ==>the number of positive integers less than 1000 that are divisible by exactly by one of 7 and 11 is 220 - 12 = 208.

A lake has the capacity to support 10,000 trout. Suppose that the conditions are such that the current population of trout will grow logistically up until it stabilizes at the amount that the lake can support. Currently there are 1,500 trout in the lake. Which of the following is a possible model for P(t), the trout population in t years?

Answers

I just got this problem, I'm not sure if it's right but I got P(t) = 10,000/ (1+9e^0.48t)

Answer:

P(t) = 10,000/ (1+9e^-0.48t)

Step-by-step explanation:

i think because it starts at around 1500 for t=1 and then when t=2 and so on it grows exponentially.

You bought a coat at $78.50 and two shirts at $21.99 each. if the sales tax rate is 7%, how much is the total purchase?

Answers

7% of the coat is $5.49. 7% of the shirts is $1.54 each. adding up the taxes ($8.57) with the base total ($122.50) would add up to $131.07

Answer:

The answer is going to be $131.05

Step-by-step explanation:

I just took the test

Write the polynomial in standard form. Then name the polynomial based on it's degree and number of terms.

3 - 10x^2 - 7x + 3x^2

Answers

In standard form...
-7x^2 - 7x + 3

This is a trinomial because it has 3 terms.
The degree of this polynomial is 2. 

Suppose the dial on the spinner is spun 2 times in a row.

X is the number of times the dial lands on region A.

Which table represents the probability distribution for the variable X?

Answers

If you spin the dial two times there three things that can happen:
1) Dial does not land in the region A
2) Dial lands once in the region A
3) Dial lands twice in the region A
The combined probability of these three events has to be 1. 
Let's calculate probabilities of each event:
[tex]1) P=P(1,1)=\frac{2}{3}\cdot\frac{2}{3}=\frac{4}{9}\\ 2)P=P(1,2)+P(2,1)=2\cdot \frac{2}{3}\cdot \frac{1}{3}=\frac{4}{9}\\ 3)P=P(3,3)=\frac{1}{3}\cdot\frac{1}{3}=\frac{1}{9}[/tex]
If we summ all those probabilities we get 1. 
The answer would table C (lower left corner).

if this is your spinner the answer is

the answer is

X    P

0   1/9

1    4/9

2   4/9

please help me thank you.

Answers

∠AOC is a "central angle".

_____
Any angle with sides that are radii and a vertex at the center of the circle is a central angle.

The table below shows the data collected on the number of car washes, y, each day since the Auto Spa opened, x.

Days Since Auto Spa Opened 0 20 40 60 80 100
Number of Car Washes 29 35 18 31 28 14

The owner of the new Auto Spa created a line of best fit for the data that can be modeled by the following equation.

y = -0.12x + 31.76

Match the slope and y-intercept with the correct description for the given situation.

titles
the number of cars washes on the day the Auto Spa opened

the ratio of car washes to the number of days since the Auto Spa opened

the number of car washes

the total number of days since the Auto Spa opened

the ratio in the number of days since the Auto Spa opened to the total profit

pair
y-intercept

slope

Answers

The slope is the ratio of car washes to the number of days since Auto Spa opened; and the y-intercept is the number of car washes on the day the Auto Spa opened.

Explanation:
This line of best fit is in slope intercept form: y=mx+b, where m is the slope and b is the y-intercept.

In this equation, m corresponds with -0.12 and b corresponds with 31.76.

The slope is the ratio of change in y to change in x. The y-coordinate of each point represents the number of car washes and the x-coordinate represents the number of days since Auto Spa opened; the ratio of change in y to change in x is then the ratio of the number of car washes to the number of days since Auto Spa opened.

The y-intercept is the point where the data crosses the y-axis; at this point, and all on the y-axis, the x-coordinate is 0. In this problem, the x is the number of days since Auto Spa opened; if it is 0, this means 0 days since it opened, which would be its opening day. Thus the y-intercept is the number of car washes on opening day.

Answer:

The slope is the ratio of car washes to the number of days since Auto Spa opened; and the y-intercept is the number of car washes on the day the Auto Spa opened.

Step-by-step explanation:

What is the measure of ∠EGF?



What is the measure of ∠CGF?

Answers

measure of ∠EGF = 1/2( 180 - 50)
= 1/2(130)
= 65

the measure of ∠CGF = 180 - 65
= 115
Hello!

This is an isosceles triangle, which means its base angles are congruent. Interior angles of triangle add to equal 180 degrees, so you can make an equation to solve for the measure of the base angles. I'll call the base angles x.

180 = 50 + 2x
130 = 2x
65 = x

That gives you m∠EGF and m∠FGE (65°).

To find m∠CGF, you must know that it and ∠EGF are supplementary (they add to equal 180 degrees). Make another equation setting them to equal 180 using m∠EGF (65°):

180 = 65 + x
115 = x

Answer:
m∠EGF = 65°
m∠CGF = 115°

15. The following statements concerning the location of an extreme value of a twice-differentiable function, f, are all true. Which statement also includes the correct justification?

(A) The function has a maximum at x=5 because f'(5)=0.
(B) The function has a maximum at x=5 because f'(x)<0 for x<5 and f'(x)>0 for x>5.
(C) The function has a minimum at x=3 because the tangent line at x=3 is horizontal.
(D) The function has a minimum at x=3 because f'(x)<0 for x<3 and f'(x)>0 for x>3.
(E) The function has a minimum at x=3 because f"(3)<0.,

Answers

(D) The function has a minimum at x=3 because f'(x)<0 for x<3 and f'(x)>0 for x>3. Let's look at the available options and see why the justification is either correct or incorrect. (A) The function has a maximum at x=5 because f'(5)=0. * We've been told that the first derivative f'(x) is zero at x=5. That means that there's a possibility of f(5) being either a local maximum or a local minimum. But that's not a guarantee of either happening since it's possible for the function to simply have a slope of 0 for a brief instant while the function either increases or decreases. In any case, the fact that the first derivative is 0 is a necessary, but not sufficient condition for a local maximum to occur at that point. So this is a bad choice. (B) The function has a maximum at x=5 because f'(x)<0 for x<5 and f'(x)>0 for x>5. * Let's look at the values. We've been told that f'(x) < 0 for x<5. That means that the value of the function is decreasing since the slope is negative. And for f'(x) > 0 for x > 5 means that the slope then increases. That would indicate that f(5) is a local minimum, not a local maximum. So this is also a bad choice. (C) The function has a minimum at x=3 because the tangent line at x=3 is horizontal. * Having the slope being zero at a point means that one of 3 things is happening at that point. 1. The point is a local minimum, 2. The point is a local maximum. 3. The point is an inflection point. Since there's multiple possibilities, that means we can't know that the actual situation is one of the point being a local minimum without more information. So this too is a bad choice. (D) The function has a minimum at x=3 because f'(x)<0 for x<3 and f'(x)>0 for x>3. * Since the slope of f(x) is negative for x < 3, that means that the value is decreasing over that range. And then the slope becomes positive for x>3, so the value is increasing. Therefore the local minimum value happens at x=3, which agrees with the statement. So this is the correct choice. (E) The function has a minimum at x=3 because f"(3)<0., * OK, we've been given the sign of the second derivative. Since it's negative, that indicates that the value of the first derivative is decreasing. But it doesn't give us any information about the first derivative having a value of 0, so we don't know if there's anything special about f(3). So this is a bad choice.

(x 2 + 2x - 1)(x 2 + 2x + 5) Please help asap!

Answers

Hi there!

To solve this equation, we can use distributive property.

I listed the terms you have to multiply :
x² × x² = x^4
x² × 2x = 2x³
x² × 5 = 5x²
2x × x² = 2x³
2x × 2x = 4x²
2x × 5 = 10x
-1 × x² = -x²
-1 × 2x = -2x
-1 × 5 = -5

Add all of them....
x^4 + 2x³ + 5x² +2x³ + 4x² + 10x - x² - 2x - 5
add up the like terms to simplify

x^4 + 4x³ + 8x² + 8x - 5

Hope this helped! :)

A store owner paid $15 for a book she marked up the price of the the book by 40% to determine its selling price part A what is the selling price of the book? Part B a customer buys a different book that has an original selling price of $38 the book is discounted 25% the costumer must pay 6% sales tax on the discounted price of the book .what is the total amount the customer must pay for the discounted book

Answers

A:

40% = 0.4

15*0.4 = 6 

15 + 6 = 21

The marked up price is $21

B:

To find the discounted price:

25% = 0.25

38*0.25 = 9.5

38 - 9.50 = 28.50 

To find the tax and price after tax:

6% = 0.06

28.50*0.06 = 1.71

So tax is $1.71

28.50 + 1.71 = 30.21 

Price after tax is $30.21


If GH = 3 and HJ = 5, then G ___ J.

Choose the relationship symbol that would make a true statement.


Answers

it will be less than

Step-by-step explanation:

The given equation is as follows.

          GH = 3 and HJ = 5

Therefore, simplify for H from both the equations as follows.

          H = [tex]\frac{3}{G}[/tex]   .......... (1)

and,    H = [tex]\frac{5}{J}[/tex]   .......... (2)

Equating both equation s(1) and (2), we get the following.

       [tex]\frac{3}{G}[/tex] = [tex]\frac{5}{J}[/tex]

             G = [tex]\frac{3J}{5}[/tex]

or,          G = 0.6J

This means that J will be 0.6 times greater than G.

Thus, we can conclude that G < J.

Many 1/2 inch cubes can fit into a box that is 15 inches tall, 1 1/2 inches wide, and 3 inches long?

Answers

The answer is 20, I hope this helps!

For which data representation is the median the better measure of center

Answers

Answer: The second graph

In all but the 3 graphs, the data is perfectly symmetrical. This means that the mean and the median would be the same.

However, in the second graph the data is skewed to the right. This means that the mean would also be skewed to the right due to the larger scores there. Using the median in this case would give a clearer picture of the data.

Rotate this image 90 clockwise around the point (-1 1 )

Answers

To rotate clockwise 90 degrees from a point (x, y) the image will be (y, -x)

In this case given the point (-1, 1), the image will be (1, -(-1)) or (1, 1)

Answer: You didn't put options A, B, C, OR D

no picture either

Step-by-step explanation:

AC is tangent to circle O at A. If mBY =24, what is m

Answers

the correct question in the attached figure

we know that
the inscribed angle measures half of the arc it comprises.
then
m∠YAB=(1/2)*m∠BY-------------> m∠YAB=(1/2)*24°=12°
m∠YAC=90°-m∠YAB=90°-12°=78°

the answer is the option C) 78°    

A person at ground level measures the angle of elevation to the top of a building to be 74degrees if at this point the person is 34 feet away from the base of the building, then how tall is the building round to the nearest tenth.

Show work

Will give brainliest to best answer

Answers

see the attached figure 

Let
h---------> building tall

we know that
tan 74°=h/34---------> h=34*tan 74°--------> 34*3.487------> 118.57 
h=118.6 ft

the answer is h=118.6 ft

I'll give you brainliest answer!! Help me. This diagram shows a smaller square inscribed within a larger square.
Answer with supporting work:

Answers

Each side of the smaller square is the hypotenuse of the triangles with legs of 3 and 4.  From the Pythagorean Theorem, we can calculate the hypotenuse:
hypotenuse^2 = 3^2 + 4^2
hypotenuse^2 = 9 + 16
hypotenuse^2 = 25
hypotenuse = 5
Therefore, the area of the smaller square is 5 * 5 = 25

The answer would be 256 as the area because roughly the 4 closes in onto the smaller square which makes it 4 x 4 so what I would do is go first 4 x4 which equals 16 and then do it over 4 x 4 equals 16 once again so 16 x 16 equals 256 your welcome!!!!! :)

Find the inverse of the following function. f(x) 8√ x for x > 0


Answers

The inverse of the function f(x) = 8√x for x > 0 is g(x) = x^2/64.

To find the inverse of the function f(x) = 8√x for x > 0, we need to interchange the roles of x and y and solve for y.

Let's start by rewriting the function using y instead of f(x):

y = 8√x

Next, we'll swap x and y:

x = 8√y

To isolate y, we can square both sides:

[tex]x^2 = (8\sqrt y)^2\\\\x^2 = 64y[/tex]

Now, divide both sides by 64:

[tex]x^2/64 = y[/tex]

Simplifying further:

[tex]y = x^2/64[/tex]

Therefore, the inverse of the function f(x) = 8√x for x > 0 is given by [tex]g(x) = x^2/64.[/tex]

To know more about inverse, refer here:

https://brainly.com/question/28595565

#SPJ6

Compare the values of the underlined digits.

34,258 and 47,163
- -

The value of 4 in _________ is______ times the value of 4 in ________

PLEASE ANSWER ASAP IT'S FOR MY SISTER

Answers

In the first number, the "4" is in the thousands place - meaning it is 4,000 + 30,258
 In the second number, the "4" is in the ten thousands place - meaning it's
40,000 + 7,163. 
 40,000/4,000 = 10 
 The value of 40,000 in the second value is 10x greater than the value of 4,000 in the first value.

What is the maximum number of real zeros that a function with degree 5?

Answers

5 for example
y = (x - 22)(x - 1)(x + 1)(x - 2)(x+2)

The point nearest to the origin on a line is at (4, -4). Find the standard form of the equation of the line.

Answers

The line through that point and the origin has a slope of -1. It is perpendicular to the line you want, so the line you want has slope +1. Its equation can be written as
.. y = (x -4) -4
or, in standard form
.. x - y = 8

which reason justifies the last step in a proof that ΔEDG≌ΔADC?

Answers

it is side angle side postulate 
fd is congruet to db
ed is congruent to da
and vertical angles theorem

The measure of a minor arc is equal to the measure of __________

Answers

The measure of a minor arc is less than 180º

7x(x+4)

A. 7x^2+4
B. 7x^2+28x
C.8x+4
D.8x+11

Answers

Use distributive property:

a(b + c) = ab + ac.

7x(x + 4) = (7x)(x) + (7x)(4) = 7x² + 28x

Answer: B. 7x^2 + 28x

Can someone please help me.

The polygons are similar. Write a similarity statement and give the scale factor

Answers

the scale factor is
[tex] \frac{4}{3} [/tex]
all you need to so is take one of the sides from the larger figure and divide it by the corresponding side on the smaller figure for example
[tex] \frac{24}{13} [/tex]
which simplifys to your answer
[tex] \frac{4}{3} [/tex]

This figure shows circle O with inscribed ∠XYZ. m∠XYZ=76∘ What is the measure of XYZ?

Answers

check the picture below.

now, the inscribed angle is at ∡XYZ and is 76°, that means by the "inscribed angle theorem", the intercepted arcXZ, in red, is twice as much, namely 152°.

keeping in mind that a circle has a total of 360°, and since the red arc has already taken up 152°, the arcXYZ in blue, will pick up the slack from 360° - 152°, namely 208°.

Yesterday , the snow was 2 feet deep in front of archies house. Today, the snow depth dropped to 1.6 feet because the day is so warm.What is the percent change in the depth of the snow?

Answers

earlier snow depth = 2 feet
later snow depth = 1.6 feet

change 
2 - 1.6
0.4 feet

percentage change
(0.4 / 2) * 100
20 %
80% is still left, therefor the percent change is 20%
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