Calculate the slope of the trend line
Please... :(

Answer:

(-5,4)

Step-by-step explanation:

when the coordinate is reflection it stays the same number but is change to  the opposite (-/+)

reflecting over the y-axis flip the X coordinate (-5,4)

reflecting over the x-axis flip the Y coordinate (5,-4)

Bacterial cell is smaller than the amoeba cell by 70 times or 7^ 10 times

What is mathematical expression?

A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

length of a bacterial cell = 5 x 10^-6 m

length of an amoeba cell = 3.5 x 10^-4 m

= 3.5 x 10^-4 x 100/100 m

= 350 x 10^-6 m

Now, comparing the length

= (350 x 10∧-6) / (5 x 10∧-6 )

= (350/5

= 70 times or 7^ 10 times

Therefore, bacterial cell is smaller than the amoeba cell by 70 times or 7^ 10 times

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Reason:

There are two mountain peaks, which show the two modes (at 0.27 and 0.31). Therefore, this data set is bimodal.

The data set is also symmetric because of the mirror line at 0.29; stuff to the left of 0.29 can be reflected over the mirror line to get the stuff on the right side.

We can rule out choice A since the curve doesn't represent a normal distribution. A normal distribution has exactly one mode only.

Choice C is ruled out because a skewed distribution isn't symmetric, and vice versa.

The data set isn't uniform since all stacks of points aren't the same height. This rules out choice E.

The probability of color coming up the same for rolling two 20-sided dice is 129/400.

Probability is defined as how likely something is to happen. For a single dice, getting a maroon, teal, and cyan have a probability of 4/20, 7/20, and 8/20, respectively.

Before solving the probability, we must identify whether the events are considered independent or dependent. Independent events are when the probability of an event happening does not affect the other's event probability of happening. A dependent event is when the probability of an event happening affects the other event. The rolling of dice is considered an independent event.  

For events that should occur together, the multiplication rule is used. To solve for the probability of two sides coming up the same, the formula below is used.

P (A and B) = P (A) * P (B)

P (red and red) = (4/20)*(4/20) = 1/25

P (teal and teal) = (7/20)*(7/20) = 49/400

P (cyan and cyan) = (8/20)*(8/20) = 4/25

Since no specific color was stated in the problem, the sum of the probability of each color coming up the same is determined.

P (color come up the same) = P (red and red) + P (teal and teal) + P (cyan and cyan)

P (color come up the same) = 1/25 + 49/400 + 4/25

P (color come up the same) = 129/400

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Answer:

23.5kg

Step-by-step explanation:

the total mass of the things he bought is what we are asked to find.

13kg of onions+3.5kg of potatoes+7kg of cabbage is the total mass he carried home.

=23.5kg

Two numbers on the number line have an absolute value of 2.75 is -2.75 and 2.75

number line - A line on which numbers are marked at intervals and used to illustrate simple numerical operations.

absolute value - absolute value of real number is its distance from the zero.

The absolute value of 2.75 is 2.75 and the absolute value of -2.75 is 2.75

Two numbers on the number line have an absolute value of 2.75 is -2.75 and 2.75

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Answer:

-2/45

Step-by-step explanation:

Answer:

[tex]2 \sqrt{3} [/tex]

The given equation 3y = -12x + 6 has infinitely many solutions.

The given equation 3y = -12x + 6 can be solved using the substitution method to determine whether this equation has no solution, 1 solution or infinitely many solutions.

Given equation,

3y = -12x + 6

Rearranging the terms of the equation, we get the value of y in terms of the variable x.

=> 3y = -12x + 6

=> y = -12x/3 + 6/3

=> y = -4x + 2

Next, we substitute this value of y in terms of the variable x in the original equation,

=> 3 ( -4x + 2 ) = -12x + 6

=> -12x + 6 = -12x + 6

=> -12x + 12x = 6 - 6

=> 0 = 0

From the obtained result, we can conclude that this system has infinitely many solutions. This implies, the lines are coincident and the system is consistent and dependent.

Therefore, it can be concluded that the given equation 3y = -12x + 6 has infinitely many solutions.

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Answer:

1.66...

Step-by-step explanation:

5/3=

5 * 1/3=

5 * 0.33...=1.66...   ==> with bar on top of the 6

Answer:

Step-by-step explanation:

1+(-2/3)-(-9/2)\

1-2/3+9/2

29/6

In a linear equation value of x and y  (x, y) = ( -2 , 6) when the graph of y=-3x and x=-2 intercept .

What in mathematics is a linear equation?

y= - 3x

Put x = -2 put in the equation

y = -3  * -2

y = 6

So, value of x and y  (x,y) = ( -2 , 6)

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Answer:

c

Step-by-step explanation:

The number of solutions of the equation [tex]5x^2+7x-4=0[/tex] is 2. Option (c) is correct.

Further explanation:

The Fundamental Theorem of Algebra states that the polynomial has n roots if the degree of the polynomial is n.

The polynomial function has n roots or zeroes.

Given:

The equation is [tex]f(x)=5x^2-7x-4=0[/tex]

According to the Fundamental Theorem of Algebra the function has 2 roots

Solve the above equation to obtain the zeros.

[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]x=\frac{-7\pm \sqrt{7^2-4\cdot \:5\left(-4\right)}}{2\cdot \:5}[/tex]

[tex]\sqrt{7^2-4\cdot \:5\left(-4\right)}[/tex]

[tex]=\sqrt{129}[/tex]

[tex]x_1=\frac{-7+\sqrt{129}}{2\cdot \:5},\:x_2=\frac{-7-\sqrt{129}}{2\cdot \:5}[/tex]

so, x has 2 solutions

Answer:

options c

Step-by-step explanation:

I hope it's helpful for you to

Answer:

50mm

Step-by-step explanation:

From the smaller to the larger:

Let s + the scale factor

3s = 10  Divide both sides by 3

s = [tex]\frac{10}{3}[/tex]

15[tex](\frac{10}{3})[/tex] = [tex]\frac{150}{3}[/tex] = 50

It is proved that ca⇀ and cb⇀ are orthogonal .

Let AO = - u vector , OB = u vector and OC = α vector .

According to question ,

u * u = v * v = r ^ 2 and

AC vector = AO vector + OC vector = u + v

BC vector = BO vector + OC vector v - u ,

Applying dot - product ,

( AC vector ) . ( BC vector ) = ( v + u ) . ( v - u )

                                            = ( v . v ) - ( u . u )

                                          = ( r ^ 2 ) - ( r ^ 2 )

                                           = 0

Hence , AC and BC are orthogonal .

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Answer:

Step-by-step explanation:

Answer:
Midpoint = (-0.5, 1)

Step-by-step explanation:

Midpoint formula is (x1 + x2)/2, (y1 + y2)

Lets plug that into the formula.

-4 + 3 = -1

x = -1/2 or -0.5


-1 + 3 = 2

2/2 = 1

y = 1

Final Answer: (-0.5, 1) or (-1/2, 1)

The amount that James left has left after paying his friend 10% is; $80.325

We are told that James and his friend both earn $8.5 per hour. Thus;

Amount earned by James per hour = $8.5

Amount earned by the friend per hour = $8.5

Total time James works in his first week = 10 ¹/₂ hours

Now, James agreed to pay his friend 1/10 of his salary

Thus, amount that James earned is;

10.5 * 8.5 = $89.25

Thus, amount he has left after paying his friend 10% is;

(100% - 10%) * $89.25 = $80.325

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If (-7,2) is a point on a circle centered at (0,2), the equation represents the circle is [tex]x^{2} +(y-2)^{2}=49[/tex]

Given,

Center of the circle = (0,2)

One point on the circle = (-7,2)

First we have to find the distance between the center and the given point

that is the radius of the circle.

[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} } \\d=\sqrt{(0+7)^{2}+(2-2)^{2} } \\d=\sqrt{49}[/tex]

d= 7  units

The standard equation of  the circle

[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]

Substitute the values in the equation

[tex](x-0)^{2}+(y-2)^{2}=7^{2} \\x^{2} +(y-2)^{2}=49[/tex]

Hence, If (-7,2) is a point on a circle centered at (0,2), the equation represents the circle is [tex]x^{2} +(y-2)^{2}=49[/tex]

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Answer:

Step-by-step explanation:

The difference between the speeds of the planets Neptune and Saturn is 9384 miles per hour.

The distance traveled in a unit of time is called speed. It refers to a thing's rate of movement. The scalar quantity known as speed is the velocity vector's magnitude. It has no clear direction. The formula for an object's general speed is [Speed = Distance Time]. M/s is the SI unit of speed.

The speed of an item, which is a scalar quantity in everyday usage and kinematics, is the size of the change in that object's position over time or the size of the change in that object's position per unit of time.

Therefore, the difference between the speeds of the planets Neptune and Saturn will be:

= 21637 - 12253

= 9384 miles per hour.

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Answer:

the answer is blank, don't type anything in just f a I l

The width of the schoolyard in the drawing is 45 millimeter.

In the given statement is ,

kirk made a scale drawing of the elementary school. the scale of the drawing was 3 millimeters : 4 meters. if the actual width of the schoolyard is 60 meters.

To find the how wide is the schoolyard in the drawing

Now, According to the question:

and, Based on the given condition

Let width of the schoolyard in the drawing be x

So, 3 : 4 = x : 60

[If b/a = d/c, ad = bc]  

3/4 = x/60

3 x 60 = 4x

x = 180/4

x = 45 millimeters

Hence, The width of the schoolyard in the drawing is 45 millimeter.

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The perimeter of the triangle is 40 feet .

Kat is painting the edge of a triangular stage prop with reflective orange paint. the lengths of the edges of the triangle are (3x – 4) feet, (x2 – 1) feet, and (2x2 – 15) and x = 4

Now , According to the question:

Let the sides of triangle be a , b , c

a = 3x -4

b = x^2 -1

c = 2x^2 - 15

x = 4

Substitute the value of x in a, b , c

a = 3 × 4 -4 = 8 feet

b = 4 × 4 -1 = 15 feet

c = 2× 4× 4 - 15 = 17 feet

The perimeter of the triangle is sum of all sides

then, a + b + c

= 17 + 15 + 8 = 40 feet

Hence, The perimeter of the triangle is 40 feet .

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Step-by-step explanation:

x=total hours for wahing cars

y=total hours for walking dogs

1. 9x+8y=90 (total money)

2. x+y=11 (total hours)

=>8x+8y=88

=> 1-2

=> x=2

therefore y=9

The number of hours for Shandra working to wash car is 2 hours.

The number of hours for Shandra working to walking dogs is 9 hours.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Shandra is working two summer jobs, making $9 per hour washing cars and $8 per hour walking dogs.

Last week Shandra worked a total of 11 hours.

Total earned = $90

Now,

Total number of hours to wash car = x

Total number of hours to walk dogs = y

So, We can formulate;

⇒ 9x + 8y = $90  ... (I)

And, x + y = 11   .. (ii)

Solve equation (i) and (ii) we get;

x = 2 hours and y = 9 hours

So, The number of hours for Shandra working to wash car is 2 hours.

The number of hours for Shandra working to walking dogs is 9 hours.

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the answer of all the 5 expressions is given as : 0, 14, 49, -49, -14 respectively.

What is mathematic expression?

A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Here the given expression are :

1)  |-7| - 7 :

now, here considering the modulus value of -7 as 7 that is positive only :

 |-7| - 7 = 7-7 = 0

2) 2|-7| = 2x 7

   2|-7| = 14

3) (-7)² = -7 x -7 = 49

4) -7² = -(7 x 7) = -49

5) -7 -|-7| = -7 - 7 = -14

it should be noted that we have considered only positive value of modulus function only.

Therefore, the answer of all the 5 expressions is given above.

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A semicircle is a one-dimensional locus of points that forms half of a circle.

The area of the semicircle is 10796.9 square feet.

A semicircle is a one-dimensional locus of points that forms half of a circle.

Its area is half the area of a circle.

We have,

The radius of the semicircle is 23 feet.

The figure is given below.

The area of a semicircle is given by:

= πr² / 2

r = radius

π = 22/7 = 3.14

So,

The area of the semicircle tunnel:

= (3.14 x 23 x 23) / 2

= 10796.89

Rounding to the nearest tenth.

= 10796.9 square feet

Thus the area of the semicircle is 10796.9 square feet.

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Answer:

Step-by-step explanation:

$52.00

Answer: 5 m³

Step-by-step explanation:

    We will break the figure into two different parts.

    Volume of a rectangular prism can be found with V = L * W * H

V = L * W * H

V = (2 m) * (1.5 m) * (1.5 m)

V = 4.5 m³

-

V = L * W * H

V = (2 m) * (2 m - 1.5 m) * (0.5 m)

V = 0.5 m³

    Now, we will add them together.

4.5 m³ + 0.5 m³ = 5 m³

Answer:

5m³

Step-by-step explanation:

Hello!

You can picture this rectangular prism as a whole prism with a part removed.

The dimensions of the whole prism are 1.5m, 2m, and 2m.

The part cut out is 1m, 0.5m, and 2m.

We can find the volume of the whole rectangular prism and subtract the volume of the removed part.

Since the units of length are meters, the volume should be represented as meters³. The volume is 5m³.

Answer: $1.05

Step-by-step explanation:

March has 31 days

Hence,

[tex]\displaystyle\\32.55:31=\\\\32\frac{55}{100}*\frac{1}{31} =\\\\32\frac{11}{20} *\frac{1}{31} =\\\\\frac{(32)(20)+11}{(20)(31)} =\\\\\frac{640+11}{620} =\\\\\frac{651}{620}=[/tex]

$1.05

Answer:

m=-5/13

Step-by-step explanation:

(-4,3) and (9,-2)

y2-y1/x2-x1

-2-3/9+4

-5/13

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