PEMDAS is used to help us remember the "order of operations." What do we use to help us remember the right triangle trig formulas? Hint: It start with s and ends with a.

Answer:

it will cost $205.99 dollars

Step-by-step explanation:

Answer:

f(x)= (X+5)^2

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question.

'A rock was thrown from the top of a cliff such that its distance above sea level was given by s(t)=at²+bt+c, where t is the time in seconds after the rock was released. After 1 second the rock was 63 m above sea level, after 2 seconds 72 m, and after 7 seconds 27 m. a. Find a, b and c and hence an expression for s(t). b. Find the height of the cliff. c. Find the time taken for the rock to reach sea level.'

Given the equation of the distance modelled as s(t)=at²+bt+c

If after 1 second the rock was 63 m, then 63 = a+b+c

If after 2 seconds, the distance was 72 m then 72 = 4a+2b+c

Also if after 7 seconds, the distance is 27 m, then 27 = 49a+7b+c

i) Solving the 3 equations simultaneously to get a, b and c we have;

a+b+c = 63 ... 1

4a+2b+c = 72 ...2

49a+7b+c = 27 ...3

Subtracting 2 from 1 and 3 from 2 we will generate 2 new equations as shown;

eqn 2- eqn1: 3a + b = 9...4

eqn 3- eqn 2: 45a + 5b = -45

eqn 3- eqn 2: 9a+b = -9 ... 5

solving 4 and 5 simultaneously

3a + b = 9 ...4

9a+b = -9 ... 5  

Taking the difference of 4 and 5 we have

6a - -9-9

6a = -18

a = -3

substituting a = -3 into equation 4 to get b we have;

3(-3)+b = 9

-9 + b = 9

b = 9+9

b = 18

substituting a = -3 and b = 18 into equation 1 to get c we have;

-3+18+c = 63

15+c = 63

c = 48

a = -3, b= 18 and c = 48

The distance function will be s(t) = -3t²+18t+48

ii) If the height of the cliff is modelled by the equation  s(t)=at²+bt+c

The height of the cliff is at when t = 0

s(0) = -3(0)²+18(0)+48

s(0) = 48m

The height of the cliff is 48m

iii) At the sea level, the height of the rock will be 0m, substituting this into the modeled equation for the height to get the time we have;

s(t)=at²+bt+c

0 = -3t²+18t+48

3t²-18t-48 = 0

t² - 6t - 16 =0

t² - 8t+2t - 16 = 0

t(t-8)+2(t-8) = 0

(t+2)(t-8) = 0

t = -2 or 8

Taking the positive value of the time, t = 8secs

Time taken for the rock to reach sea level is 8secs

Answer:

B. This because the power 7 will be multiplied to the powers of 3 and 5

Answer:

xy and bc is parallel

70 degrees

Step-by-step explanation:

a) it's a rule

b) since angle xbc is 55 degrees, angle xcb must also be 55 degrees as it's a isoceles triangle. then you would take 180 degrees to subtract the sum of angle xcb and xbc which would give you 70 degrees

Answer:

206°

I realise that I didn't do it the easiest way. :(

Step-by-step explanation:

So first find angle XCY.

XCY = 180 - 72 - 26 = 82°

Then you can see that angle WCR is 154° because of vertical angles.

Arc RW is 154° too because WCR is a central angle.

Arc ZW is 26° because WCX is a central angle.

All we have to find now is angle ZCR.

You can see that ZCR and XCW are vertical angles.

ZCR = 26°

Arc ZR is also 26° because ZCR is a central angle.

154° + 26° + 26° = 206°

Answer:

The answer is "5051".

Step-by-step explanation:

Given equation:

[tex]\bold{E(x)= 2(x+3)^2-3(x-1)(x+3)+(x-2)^2-31}\\\\[/tex]

put the 1, 2, 3, ........2019, 20202:

When E(1),

[tex]E(1) =2(1+3)^2-3(1-1)(1+3)+(1-2)^2-31\\\\[/tex]

        [tex]=2(4)^2-3(0)(4)+(-1)^2-31\\\\=2(16)-0+1-31\\\\=32+1-31\\\\=2[/tex]

When E(2),

[tex]E(2) =2(2+3)^2-3(2-1)(2+3)+(2-2)^2-31\\\\[/tex]

        [tex]=2(5)^2-3(1)(5)+(0)^2-31\\\\=2(25)-15+0-31\\\\=50-15-31\\\\=4[/tex]

When E(3),

[tex]E(3) =2(3+3)^2-3(3-1)(3+3)+(3-2)^2-31\\[/tex]

        [tex]=2(6)^2-3(2)(6)+(1)^2-31\\\\=2(36)-36+1-31\\\\=72-66\\\\=6[/tex]

When E(2019),

[tex]E(2019) =2(2019+3)^2-3(2019-1)(2019+3)+(2019-2)^2-31\\[/tex]

        [tex]=2(2022)^2-3(2018)(2022)+(2017)^2-31\\\\=8,176,968-12,241,188+4,068,289-31 \\\\= 4038[/tex]

When E(2020),

[tex]E(2020) =2(2020+3)^2-3(2020-1)(2020+3)+(2020-2)^2-31\\\\[/tex]

             [tex]=2(2023)^2-3(2019)(2023)+(2018)^2-31\\\\=8,185,058-12,253,311+4,072,324-31\\\\=4040\\[/tex]

[tex]\ Calculate: \\\\ \bold{A= E(1)-E(2)+E(3)-E(4).....+E(2019)-E(2020)}\\\\A= 2-4+6-8.....+4038-4040[/tex]

[tex]A= (2+6....+4038)-(4+ 8+12...4040)\\[/tex]

Formula:

[tex]t_n= a+(n-1)d\\\\\ When \\ \\ T_n =4040 \\ a= 4 \\ d= 4\\4040= 4+(n-1)4\\4040=4+4n-4\\4n=4040\\n= \frac{4040}{4}\\n= 1010\\\\When \\\\T_n =4038 \\ a= 2 \\ d= 4\\4038= 2+(n-1)4\\4038=2+4n-4\\4038=-2+4n\\4036=4n \\ n= \frac{4036}{4}\\n= 1009\\\\[/tex]

Formula for sum:

[tex]When, n= 1010\\ a=4 \\ l=4040\\ \\ S= \frac{n}{2}(2a+l)\\\\S= \frac{1010}{2} (2\times 4+4040)\\\\S= 505(8+4040)\\\\S_1= 2044240 \\\\\\[/tex]

[tex]When, n= 1009\\ a=2 \\ l=4038\\ \\ S= \frac{n}{2}(2a+l)\\\\S= \frac{1009}{2} (2\times 2+4038)\\\\S= 504.5(4+4038)\\\\S_2= 2039189 \\\\\\[/tex]

[tex]S= S_1-S_2\\\\S= 2044240 -2039189\\\\S= 5051[/tex]

The absolute value is = 5051

Answer:

x = 256

Step-by-step explanation:

-5/8x = -160

Multiply each side by -8/5 to isolate x

-8/5*-5/8x = -160*-8/5

x = 256

Answer:

D

Step-by-step explanation:

In this question, we are to select which of the options represents the the amount earned working per hour last weekend by Samuel.

To get this, all we need to do is to divide the amount of money earned by the total

number of hours worked.

mathematically that is 18.9/2.25

Kindly note that 2 1/4 is same as 2.25

Dividing the above, we have 8.4

Hence , Samuel earned 8.40 per hour working last weekend

The option that best describes this is 18.90 = 2.25e

Answer:

An atom of sodium has 11 proton, 11 electrons, and 12 neutrons.

Answer

[tex]12[/tex]

Step by step explanation

[tex]protons = electrons \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 12 = 12[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Option: C 50

Step-by-step explanation:

the scatter plot shows an increase of about 50

Answer:

50 :)

I know its a lot the hair the bod, when ur starin at a demi god, what can i say except ur welcome

Answer:

1) You divide x measure by a2 and y measure by b^2 to equal 1 whole.

2) Using the vertices 0,0 we look for the negative (x-h^2)/ a2   and (y-k)^2/b^2

Which means distance from center to a vertices is 'a ' and means (hk)

3) So the parabola is a conic section (a section of a cone). Equations. x-squared is a parabola. The simplest equation for a parabola is y = x2.   Most renowned is the given y = ax2 + bx + c

For graphs the difference from the given x2 equation is we keep double 'x' x2 to y and multiply h to 4p;  we see (x - h)2 = 4p (y - k) usually focusing upright g k and p. Note below this focus changes from y to x if rotated on transversal.

Real life objects ;

Ellipses, including orbits of planets, satellites, moons and comets, and shapes of boat keels, rudders, and some airplane wings. A medical device called a lithotripter uses elliptical reflectors to break up kidney stones by generating sound waves.

Hyperbola;

Satellites, lenses radios, monitors Graphing a hyperbola shows this immediately: when the x-value is small, the y-value is large, and vice versa. Many real-life situations can be described by the hyperbola, including the relationship between the pressure and volume of a gas.

Parabolas; Are also used in satellite dishes to help reflect signals that then go to a receiver.From the paths of thrown baseballs, to fountains, this geometric shape is prevalent, and even functions to help focus light and radio waves.

Using Parabolic Reflectors to Focus Light

Flat surfaces scattered light too much to be useful to mariners. Spherical reflectors increased brightness, but could not give a powerful beam. But using a parabola-shaped reflector helped focus light into a beam that could be seen for long distances.

The idea that a parabolic reflector could produce an image was already well known before the invention of the reflecting telescope.

The name "parabola" is due to Apollonius, who discovered many properties of conic sections. It means "application", referring to "application of areas" concept, that has a connection with this curve.

Where the focus–directrix property of the parabola and other conic sections is due to Pappus of Alexandria. (c. 340) an encyclopedist where 8 volumes survived.

Galileo showed that the path of a projectile follows a parabola, a consequence of uniform acceleration due to gravity.

Step-by-step explanation:

The standard equation for an ellipse, x 2 / a 2 + y2 / b 2 = 1, represents an ellipse centered at the origin and with axes lying along the coordinate axes. In general, an ellipse may be centered at any point, or have axes not parallel to the coordinate axes.

The standard for a parabola is (x - h)2 = 4p (y - k), where the focus is (h, k + p) and the directrix is y = k - p. If the parabola is rotated so that its vertex is (h,k) and its axis of symmetry is parallel to the x-axis, it has an equation of (y - k)2 = 4p (x - h), where the focus is (h + p, k) and the directrix is x = h - p.

Answer:

The answer is a parebola

Step-by-step explanation:

1) You divide x measure by a2 and y measure by b^2 to equal 1 whole.

2) Using the vertices 0,0 we look for the negative (x-h^2)/ a2   and (y-k)^2/b^2

Which means distance from center to a vertices is 'a ' and means (hk)

3) So the parabola is a conic section (a section of a cone). Equations. x-squared is a parabola. The simplest equation for a parabola is y = x2.   Most renowned is the given y = ax2 + bx + c

For graphs the difference from the given x2 equation is we keep double 'x' x2 to y and multiply h to 4p;  we see (x - h)2 = 4p (y - k) usually focusing upright g k and p. Note below this focus changes from y to x if rotated on transversal.

Real life objects ;

Ellipses, including orbits of planets, satellites, moons and comets, and shapes of boat keels, rudders, and some airplane wings. A medical device called a lithotripter uses elliptical reflectors to break up kidney stones by generating sound waves.

Hyperbola;

Satellites, lenses radios, monitors Graphing a hyperbola shows this immediately: when the x-value is small, the y-value is large, and vice versa. Many real-life situations can be described by the hyperbola, including the relationship between the pressure and volume of a gas.

Parabolas; Are also used in satellite dishes to help reflect signals that then go to a receiver.From the paths of thrown baseballs, to fountains, this geometric shape is prevalent, and even functions to help focus light and radio waves.

Using Parabolic Reflectors to Focus Light

Flat surfaces scattered light too much to be useful to mariners. Spherical reflectors increased brightness, but could not give a powerful beam. But using a parabola-shaped reflector helped focus light into a beam that could be seen for long distances.

The idea that a parabolic reflector could produce an image was already well known before the invention of the reflecting telescope.

The name "parabola" is due to Apollonius, who discovered many properties of conic sections. It means "application", referring to "application of areas" concept, that has a connection with this curve.

Where the focus–directrix property of the parabola and other conic sections is due to Pappus of Alexandria. (c. 340) an encyclopedist where 8 volumes survived.

Galileo showed that the path of a projectile follows a parabola, a consequence of uniform acceleration due to gravity.

Step-by-step explanation:

The standard equation for an ellipse, x 2 / a 2 + y2 / b 2 = 1, represents an ellipse centered at the origin and with axes lying along the coordinate axes. In general, an ellipse may be centered at any point, or have axes not parallel to the coordinate axes.

The standard for a parabola is (x - h)2 = 4p (y - k), where the focus is (h, k + p) and the directrix is y = k - p. If the parabola is rotated so that its vertex is (h,k) and its axis of symmetry is parallel to the x-axis, it has an equation of (y - k)2 = 4p (x - h), where the focus is (h + p, k) and the directrix is x = h - p.

Answer:

[tex]\frac{3}{14}[/tex]

Hope this is right :)

Step-by-step explanation:

Hopefully the question is asking probability.

There is a [tex]\frac{1}{2}[/tex] chance of wearing a blue shirt on Monday.

Then if you get a blue shirt on Monday, you have to wash that one.

There are now 3 blue shirts and 4 green shirts.

There is now a [tex]\frac{3}{7}[/tex] chance of getting a blue shirt.

[tex]\frac{1}{2} *\frac{3}{7} = \frac{3}{14}[/tex]

Answer:

Domain: ​(−∞, 0) ∪ (0, ∞)​; Range: (−∞, 0) ∪ (0, ∞)

Step-by-step explanation:

See attachment.

We want to find the domain and range of the function [tex]f(x)=\frac{3}{5} x^5[/tex].

The domain is the set of all possible x-values that are included in the function, while the range is the set of all possible y-values that are included in the function.

Look at the graph.

We can see that the x-values can go into infinity except when approaching the line x = 0. Here, the function will never touch x = 0 because that would make the graph undefined. So, we can say that the domain is all real numbers except for x = 0, or ​(−∞, 0) ∪ (0, ∞).

It's the same thing with the y-values. Although it looks like the line is touching the y-axis, or the line y = 0, the graph actually is not - it's just going really close to it. So, the range is again ​(−∞, 0) ∪ (0, ∞).

Thus, the answer is D.

Answer:

Last one

Domain: ​(−∞, 0)∪ (0, ∞)​ Range: (−∞, 0)∪ (0, ∞)

Step-by-step explanation:

f(x) = 3/(5x⁵)

Since x is in the denominator, x can not be 0

Domain: all real values of x except 0

For y = 0, x has to be infinite therefore y can not be 0

Range: all real values except 0

Answer:

Its D

Step-by-step explanation:

Took the test.

Based on the information given regarding the triangle, the triangle pairs can be mapped to each other will be D. Triangles X Y Z and A B C are shown. Both triangles are congruent. Triangle X Y Z is rotated down and to the left to form triangle A B C. It is also slightly higher than triangle A B C.

It should be noted that a translation is a slide, and this implies that the function has the same shape graphically, but on the other hand, the graph of the function slides to a different position on the coordinate plane.

In this case, the triangle pairs can be mapped to each other using both a translation and a rotation about C. Therefore, the correct option is D.

Learn more about triangles on:

https://brainly.com/question/2644832

Answer:

Since each side of a square is the same, it can simply be the length of one side squared. If a square has one side of 4 inches, the area would be 4 inches times 4 inches, or 16 square inches.

Step-by-step explanation:

Answer:

1.) 5 cm

2.) 4 cm

3.) 5 cm

Step-by-step explanation:

1.) LxWxH=V

8(W)(2)=80

16W=80

W=5 cm

2.)4(3)(H)=48 cm

12H=48cm

H=4cm

3.)L(5)(5)=125

25L=125

L=5 cm

Answer:

1. Width of 5

2. Height is 4

3. Length is 5

Step-by-step explanation:

1. LxWxH

8x2 = 16

16x5 = 80

2. LxWxH

4x3 = 12

12x4 = 48

3. LxWxH

5x5 = 25

25x5 = 125

Answer:

Square root of 13

Step-by-step explanation:

If y=x, that means that we can use any coordinates as long as it is true. I will use (1,1)

The distance formula is the square root of (x2-x1)^2+(y2-y1)^2

(3-1)^2=4

(4-1)^2=9

4+9=13

=Square root of 13

Answer:

C

Step-by-step explanation:

Answer: 3 && 5 are correct

Step-by-step explanation:

On edge

Answer:

C and E

Step-by-step explanation:

The conditional relative frequency that someone is in high school, given that the person prefers to study without music, is about 0.56.

If someone prefers to study with music, the probability the person is in HS is about 44%.

Answer:

1,736 square units

Step-by-step explanation:

To find the surface area, you must first find the area of all the faces, then add them all together. For this figure, you must find the area of two triangles, and three different rectangles.

Starting with the triangles, you can find the area using the equation: a=1/2bh. This gets 84 as the area of one triangle. Because you have two, you can multiply this area by two in order to get the area of both triangles. That value is 168.

Now, find the area of the bottom rectangle. Its dimensions are 24x28, and you can find the area of any rectangle by multiplying its base by its height. This area is 672.

The back rectangle's dimensions are 28x7, which equals 196.

The top rectangle is most difficult, as you must use the pythagorean theorem to find one of its side lengths: a^2 + b^2 = c^2. Its dimensions are 25x28, which equals 700.

Now add all those areas together to get the total surface area, or 1,736.

Answer:

3/14

Step-by-step explanation:

You add all the marbles to get your total/denominator then take the white marbles and that is the numorator.

Answer`Step-by-step explanation:

The length of an arc depends on the radius of a circle and the central angle Θ. We know that for the angle equal to 360 degrees (2π), the arc length is equal to circumference. Hence, as the proportion between angle and arc length is constant, we can say that:

Hope that help, at least a bit.

Answer:

9 recipientes

Step-by-step explanation:

Para empezar, tenemos que encontrar a cuánto equivalen 3/4 partes de 6 litros.

Para poder hacer esto, multiplicamos:

[tex](6)(\frac{3}{4})= \frac{18}{4} =\frac{9}{2}=4\frac{1}{2}[/tex]

Por lo tanto, el garrafón tiene 4.5 litros de agua.

Ahora, vamos a dividir esta agua en recipientes de 0.5 litros, por lo tanto, vamos a hacer una división:

4.5 ÷ 0.5 = 9

Por lo tanto, se van a poder llenar 9 recipientes.

Answer:

The 12th Term is 67.

Answer:

The first time you pick a three the probability is [tex]\frac{1}{4}[/tex]  but if you already pick a three then the probability of you picking a 3 again is 0 because you only have one 3.

Answer:

3/10

Step-by-step explanation:

Out of 20 draws, 6 of them were pink balls. 6/20 simplifies to an experimental probability of 3/10, or answer choice C. Hope this helps!

Omi calculator will help u

Answer:

no, it is smaller

Step-by-step explanation:

1/2 * 2/3

We are multiplying 2/3 by a number smaller than 1

1/2 is smaller than 1

The number that we get out will be smaller than the number we started with

1/2 *2/3 < 2/3

Answer:

No

Step-by-step explanation:

No, half of (2/3) is SMALLER than (2/3).