An Archaeologist in Turkey discovers a spear head that contains 79% of its original amount of C-14. Find the age of the spear head to the nearest year.

Answer:

No.

Step-by-step explanation:

First class section seats: 5/7 = 10/14 so 10 seats are being used.

Business: 5/16 = 20/64, 20 seats are being used.

Economy: 5/9 = 60/108, 60 seats are being used.

10 + 20 + 60 = 90

108 + 64 + 14 = 186

90/186 is less than 1/2, because 1/2 = 93/186

Answer:

The area of the grass that died is 2,289.06 cm²

Step-by-step explanation:

In order to calculate the area of the grass that died, we need to calculate the area of the bottom of the trash can. Since it's a circular shape it's area is given by:

area = pi*r²

Where r = d/2, therefore:

r = 54/2 = 27 cm

Applying this data to the formula, we have:

area = pi*(27)² = 2,289.06 cm²

The area of the grass that died is 2,289.06 cm²

Answer:

B

Step-by-step explanation:

25x² - 144 ← is a difference of squares and factors in general as

a² - b² = (a + b)(a - b), thus

25x² - 144

= (5x)² - 12²

= (5x + 12)(5x - 12) → B

Answer:

B) ( 5x + 12 ) ( 5x - 12 )

Step-by-step explanation:

Since we have options we could try expanding all of them out.

A) ( 12 + 5x ) ( 12 - 5x )

144 - 60x + 60x - 25x² = 144 - 25x²

That's not the answer we are looking for so we cross out "a" as an option

B) ( 5x + 12 ) ( 5x - 12 )

25x² - 60x + 60x - 144 = 25x² - 144

This is the answer which we are looking for so B is the answer

Answer:

Step-by-step explanation:

Use the point-slope formula.

y - y_1 = m(x - x_1)    you have :  x_1 =5  and  y_1 =4

m the slope  m= -2 (same slope for the line : 2x+y=3 because this lines are parallel and you can write y=-2x+3

an equation for this line is : y-4 = -2(x-5)

Final answer:

The equation of the line parallel to 2x + y = 3 and passing through the point (5, 4) is y = -2x + 14.

Explanation:

To find the equation of a line that is parallel to the given line 2x + y = 3 and passes through the point (5, 4), we first need to put the given line into slope-intercept form (y = mx + b), where m represents the slope and b the y-intercept. For the equation 2x + y = 3, we solve for y to get y = -2x + 3, which shows that the slope (m) is -2. Since parallel lines have the same slope, our new line will also have a slope of -2.

Using the point-slope form (y - y1 = m(x - x1)), where (x1, y1) is the point (5, 4) and m is -2, we get y - 4 = -2(x - 5). Simplifying this, y - 4 = -2x + 10, which leads to y = -2x + 14 as the equation of the line passing through (5, 4) and parallel to 2x + y = 3.

Answer:

Both

Step-by-step explanation:

Answer:

$56.7

Step-by-step explanation:

For this, you need to find out the tip and the tax.

45 x .06 = 2.7

45 x .2 = 9

After you find out that, add them together and that will be the total cost.

45 + 2.7 + 9 = 56.7

Feel free to let me know if you need more help. :)

Answer: -8(y-5) = (x-3)2

Step-by-step explanation:

Well, p(y-k) = (x-h)2 has Vertex (h,k) = (3,5).  So the Distance from vertex to directrix is 2; distance from vertex to focus is 2; focus is directly beneath the vertex.  Therefore it's  p = -2  ( I hope this helped<3)

Answer:

16  sq. units

Step-by-step explanation:

The formula for the area of a triangle:

If base and height are known as:

Then the area is:

Answer:

16

(0,17)

(0,8)

Step-by-step explanation:

i got it right

The length of the transverse axis is the distance between the vertices of the hyperbola. A focus of the hyperbola is a fixed point from which distances to any point on the hyperbola have a constant difference. A vertex of the hyperbola is where it intersects its transverse axis.

When analyzing graphs, it is crucial to understand the properties of the figures involved. In this case, we are discussing a hyperbola, which is a set of all points where the difference in the distances from two fixed points, called foci, is constant.

The length of the transverse axis of a hyperbola is the distance between its vertices. For an ellipse as shown in Figure 3.4 (b), the distance between the two vertices on the major axis is 2a, where a is the length of the semimajor axis. However, in the case of a hyperbola, the transverse axis would correspond to the axis that goes through the two vertices of the hyperbola.

A focus of the hyperbola is one of the two fixed points from which the difference in distances to any point on the hyperbola is constant. It is typically denoted as (h ± c, k) in the Cartesian coordinate system, where (h, k) is the center of the hyperbola and c is the distance from the center to each focus.

A vertex of the hyperbola is located at the point on the graph where the hyperbola intersects its transverse axis. This can be expressed as (h ± a, k) for a horizontal hyperbola or (h, k ± a) for a vertical hyperbola, where (h, k) is the center of the hyperbola and a is the length of the semimajor axis.

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Answer:

c 364

Step-by-step explanation:

this is the correct answer because the rest are lower answers

Answer:

the answer is 7% of 5,200.

Step-by-step explanation:

35% of 1000 is 350

10% of 375 is 37.5

07% of 5,200 is 364

and 50% of 640 (320) plus 25% of 160 (40) is 360

hope this helps!

Answer:

20 ft

Step-by-step explanation:

The 2 triangles are similar, thus the ratios of corresponding sides are equal.

let h be the height of the tree, then

[tex]\frac{h}{5}[/tex] = [tex]\frac{32}{8}[/tex] = 4 ( multiply both sides by 5 )

h = 20

The height of the tree is 20 ft

The height of the tree that both triangles are similar to is 20 feet.

If two figures look an exact shape but their size could be small or big then both figures are called similar figures.

When anything has identical pieces facing one another or revolving around an axis, it is said to be symmetrical.

As per the given two triangles,

Let's say the height of the tree is h.

By similar triangle property

h/32 = 5/8

h = (5/8)32

h = 5 x 4 = 20 feet

Hence "The height of the tree that both triangles are similar to is 20 feet".

To learn more about symmetry,

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Answer:

160ft

Step-by-step explanation:

Answer:

522

Step-by-step explanation:

For an n-sided polygon, with apothem a, and side s, the area is

A = ans/2

A = (12)(5)(17.4)/2

A = 522

Answer:

200 liters.

Step-by-step explanation:

To solve this, let's first set C in our equation to .7, since that is the concentration we are aiming for.

.7= [tex]\frac{(x+0.1(100))}{x+100}[/tex]

Next, we can simply this equation further:

.7= [tex]\frac{(x+10)}{x+100}[/tex]

We can multiply both sides by the denominator, resulting in:

.7x+70= x+10

Finally, continue simplifying to solve for x:

60= .3x

x= 200 liters.

Answer:

(-3, -4)

Step-by-step explanation:

The solid circles along the parabola are:

(-6, 5), (-5, 0), (-4, -3), (-3, -4), (-2, -3), (-1, 0), (0, 5).

Although on observation, the minimum point of y occurs at (-3, -4), we can also confirm through the function.

The x-intercept of the parabola are -5 and -1.

x=-5 or x=-1

x+5=0 or x+1=0

(x+5)(x+1)=0

[tex]x^2+5x+x+5=0\\x^2+6x+5=0[/tex]

The Vertex of the equation occurs at the axis of symmetry, [tex]x=-\dfrac{b}{2a}[/tex]

In [tex]f(x)=x^2+6x+5, a=1, b=6[/tex]

Axis of Symmetry, [tex]x=-\dfrac{6}{2}=-3[/tex]

[tex]f(-3)=(-3)^2+6(-3)+5=9-18+5=-4[/tex]

Therefore, we can confirm that the vertex is (-3,-4) as stated earlier.

Answer:

C. by hiring a local agent or broker who is familiar with her needs

and

E. by registering on the website of a national insurance company

Step-by-step explanation:

Just got this right on Plato :)

To independently obtain additional insurance, Natasha has two main options: hiring a local insurance agent or broker for personalized service, or registering on the website of a national insurance company for convenience and direct-purchase options.

Natasha can accomplish her goal of obtaining additional insurance coverage independently from her employer by following two main paths:

By consulting a local insurance agent or broker, she can receive personalized advice and find coverage that fits her specific situation.

On the other hand, registering on the website of a national insurance company allows her the convenience to compare different plans and sign up for insurance that she can directly purchase.

Doing either will help her cover personal assets and health beyond what her employer provides without affecting her existing employment-based insurance coverage. It's important for her to assess her individual needs, risk factors, and financial situation when choosing the best insurance plans for her lifestyle.

The sum of all andles in quadrilateral is equal to 360°, so

[tex]5x - 30 + 60 - x + 3x + 60 + 4x + 50 = 360 \\ 11x = 220 \\ x = 20[/tex]

Now we need to put x into polynomials

1)

[tex]5 \times 20 - 30 = 70[/tex]

2)

[tex]60 - 20 = 40[/tex]

3)

[tex]3 \times 20 + 60 = 120[/tex]

4)

[tex]4 \times 20 + 50 = 130[/tex]

Answer: the smallest ahgle is 60-x

Answer:600

Step-by-step explanation:

it’s the highest point

Answer:

Angle 7 and angle 15

Step-by-step explanation:

Alternate interior angles with angle 9 are:

Transversal s, parallel lines are t and u,

Transversal u, parallel lines are s and r,

If angle 9 is an interior angle within a pair of parallel lines cut by a transversal, then there would be one alternate interior angle to angle 9. The alternate interior angles are those inside the lines and on opposite sides of the transversal.

In a pair of parallel lines cut by a transversal, the alternate interior angles are those angles that are inside the pair of lines and on opposite sides of the transversal. The alternate interior angles are equal when the lines are parallel. From your question, it's not clear which lines are parallel and where angle 9 is located.

Let's assume that angle 9 is one of the interior angles created by the transversal on a pair of parallel lines. In that case, there would be one angle that is an alternate interior angle to angle 9. So without more information, we can only say that there is one alternate interior angle to angle 9.

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Answer:

Your Y-Intercept should be -2

Step-by-step explanation:

You always need to look at where the line starts according to the coordinate when X = 0, or when the dot is in the very middle line.

Therefore, we can see that it starts at "down two", also known as "-2"

Answer:

it is 2

Step-by-step explanation:

to find the Y-intercept of a line, first u should find the slope intercept form

slope intercept form : y=mx+b

m=slope

b= y-intercept

first u should find the slope, so pick two points from the line and write them in a form of y2-y1/x2-x1

point 1: (1,0)

point 2: (2,2)

0-2/2-1=-2/1

m=-2

now pick one of the two points and replace it in the equation with the slope

0=-2(1)+b

solve for b

0=-2+b

add 2 on both sides

b=2

Answer:

Pool B has the greater circumference.

Step-by-step explanation:

Pool A has a radius of 16 feet, and Pool B has a diameter of 9.94 meters.

We want to see which pool has a greater circumference.

The circumference of a circle is the distance around a circle or the total length of a circle, and it is given as:

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

where r = radius of the circle

So that our comparison can be accurate, let us put the dimensions of both pools in a single unit, metre.

The radius of pool A is 16 feet.

1 foot = 0.305 metres

16 feet = 4.88 metres

The radius of pool A in metres is 4.88 metres

CIRCUMFERENCE OF POOL A

[tex]C = 2 * \pi * 4.88 = 30.66 m[/tex]

CIRCUMFERENCE OF POOL B

[tex]C = 2 * \pi * 9.94 = 62.45 m[/tex]

As we can see, pool B has the greater circumference.

Answer:

Answer is on the picture below

Step-by-step explanation: the one that only says pool is pool B

Thank you! :)

Answer:

  [-1, 1]

Step-by-step explanation:

Comparing each table value to the one before, we find the function to be increasing on the interval [-1, 1].

__

The graph in the second attachment shows that integer interval to be the only one where the function is increasing.

Answer:

-1,1

Step-by-step explanation:

time for learning

Answer:

Step-by-step explanation:

Given

Length of the minute hand = 14 inches

Time = 1 hour

Required

Length of the path traced in 1 hour

For, the minute hand to have completer an hour, this means it completes a cycle;

1 cycle is equivalent to 1 complete rotation;

So, basically the question implies that; the circumference of the complete rotation be solved for;

To solve for this; we make use of the circumference formula;

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

Where

C represents the circumference

r represents the radius or the length of the minute hand

[tex]\pi = \frac{22}{7}[/tex] --- This is given from the question;

By substitution, we have

[tex]C = 2 * \frac{22}{7} * 14[/tex]

[tex]C = \frac{2 * 22 * 14}{7}[/tex]

[tex]C = \frac{616}{7}[/tex]

[tex]C = 88 inches[/tex]

Hence, the length of the path traced is 88 inches

The measurements of the angles ∠ABD and ∠ACD will be 34° and 34°. Then the correct option is C.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

The central angle is double the angle at the periphery that was subtended by the same chords.

Then the arc AD is double of angle ∠ABD.

∠ABD = arc AD / 2

∠ABD = 68° / 2

∠ABD = 34°

Similarly, the arc AD is double of angle ∠ACD.

∠ACD = arc AD / 2

∠ACD = 68° / 2

∠ACD = 34°

Thus, the measurements of the angles ∠ABD and ∠ACD will be 34° and 34°.

Then the correct option is C.

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Answer:

The cost of soft drink is $0.95

Step-by-step explanation:

Let the cost of hot dog be x

Cost of 2 hot dogs = 2x

Let the cost of soft drink be y

Cost of 3 soft drinks = 3y

At a cost restaurant the cost for a hot dog and a soft drink is $2.10.

So, x+y=2.10

The cost for two hot dogs and three soft drinks is $5.15

So, 2x+3y=5.15

Plot the lines on the graph:

x+y=2.10 --Purple line

2x+3y=5.15 --- Black Line

Intersection point =(x,y)=(1.15,0.95)

Hence The cost of soft drink is $0.95

Answer:

Hya, The vertex of the function is at (1,-25) and the Graph is negative on the entire interval -4 < x < 6.

Step-by-step explanation:

1.  the vertex of the function:

f(x)= (x + 4)(x - 6) = x^2 - 2x - 24

x₀= 2/2= 1     y₀= 1^2 - 2*1 - 24= -25

(1; -25)

2.  the Graph is negative on the entire interval -4 < x < 6

Answer:

The vertex of the function is at (1,–25).

The graph is increasing only on the interval −4< x < 6.

Step-by-step explanation:

A and C on edg

(x-5)*2 +(y-4)*2=25

Explanation

Equation of circle is (x-a)*2 + (y-b)*2=r*2

Expand equation to get

x*2 - 2ax + y*2- 2by+ b*2= 0

Then take the points and put them into the equation

You will then have two equations

Solve them simultaneously to find a and b

Where a= 5 and b = 4

After put it back to the equation of the circle

Answer:

A

Step-by-step explanation:

to find the circumference of a circle, u multiply the diameter by pi. pi is approximately 3.14. 12.2 times 3.14 is 38.308. rounded to the nearest tenth it is 38.3 :)