The science of classifying and naming organisms based on their different characteristics is called .

Answer:

(4, -6)

Step-by-step explanation:

The rule for rotation around the origin 90 degrees clockwise is

Ro, 90: (x, y) --> (y, -x)

so (6, 4) --> (4, -6)

Answer:

(4, -6)

Step-by-step explanation:

I did this on edulastic !

Answer:

24a^9 b^11

Step-by-step explanation:

[tex]4a ^{3} b ^{2} \times 6a ^{6} b ^{9} \\ = (4 \times 6)a ^{3 + 6}b ^{2 + 9} \\ = 24a^{9} b^{11} [/tex]

The probability that the dice lands on a four in the first three rolls is: 29%. The correct option is b.

Given that, A standard six-sided dice is repeatedly rolled until it lands on a four

We need to find the probability that the dice lands on a four in the first three rolls  i.e we need to find P(X=3) where X be the number of tosses before the first 4 shows up and let p be the probability of getting a 4.

The possible outcomes of a single dice roll = {1, 2, 3, 4, 5, 6}

So, the total number of possible outcomes of rolling the dice = 6

P(getting a 4 on a single toss)

p = 1/6

Then, the probability of not getting a 4 on a single toss:

q = 1 - 1/6

= 5/6.

Now, we know that the probability of getting a 4 on the third toss is the probability of not getting a 4 on the first two tosses and getting a 4 on the third toss.i.e,

P(4 on third toss) = q * q * p

Similarly, the probability of getting a 4 on the second toss is the probability of not getting a 4 on the first toss and getting a 4 on the second toss.

P(4 on second toss) = q * p

Now, P(X = 3) = P(4 on third toss) = q * q * p

= (5/6)² * (1/6)

= 25/216

≈ 0.1157

≈ 11.57%

Therefore, the probability that the dice lands on a four in the first three rolls is approximately 11.57%.

Rounding it to the nearest percentage, we get the answer as  b. 29%.Hence, option B is correct.

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To find the volume of the right regular triangular pyramid, where x = 30 cm and h = 27 cm, the exact answer is 900π cm³, and the approximation to the nearest hundredth is 3507.39 cm³.

The volume of a pyramid can be calculated using the formula:
Volume = (1/3) * Base Area * height
In the case of a right regular triangular pyramid, the base is a regular triangle, so the base area can be found using the formula for the area of an equilateral triangle:
Base Area = (sqrt(3)/4) * x²
Given that x = 30 cm, we can calculate the base area as:
Base Area = (sqrt(3)/4) * 30²
Base Area = (sqrt(3)/4) * 900
Base Area = (900/4) * sqrt(3)
Base Area = 225 * sqrt(3)
The volume can now be calculated by substituting the values of the base area and height into the volume formula:
Volume = (1/3) * (225 * sqrt(3)) * 27
Volume = 675 * sqrt(3) * 27
Volume = 18225 * sqrt(3) cm³
Approximating to the nearest hundredth, we find that the volume is approximately 3507.39 cm³.

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Answer:

(1,14)

Step-by-step explanation:

because putting values

x=1 in y=4x+9

we get y=4+9=13

Answer: 3b^4(b+5-6b^3)

Step-by-step explanation:

Answer:

x > -100/9

Step-by-step explanation:

1. -45x +310 <810

2. look for like terms and isolate them .

3. -45x+310-310< -810 -310

4.; -45x < 500

5. x > -100/9

NB: The inequality sign changes when dividing by negative number or term.

Answer:

The system of equations is y = -2, x - 2y = 6 ⇒ (a)

Step-by-step explanation:

Let us revise some facts about the linear equation

The form of the linear equation is y = m x + b, where m is the slope of the line and b is the y-intercept [the line intersect the y-axis at point (0, b)]

The equation of any horizontal line is y = b

The equation of any vertical line is x = a, where (a, 0) is the x-intercept

Now let us study the given graph

→ Blue line

∵ The blue line is a horizontal line

∴ Its equation is y = b

∵ b is the y-coordinate of the y-intercept

→ The line intersects the y-axis at point (0, -2) which means b = -2

∴ b = -2

∴ The equation of the blue line is y = -2

We have two answers only with the equation y = -2, a and b, so the answer must be one of them. Let us find the equation of the red line to decide which one is the answer.

→ Red line

∵ The equation of the line is y = m x + b

∵ The read line intersects the y-axis at point (0, -3)

∴ b = -3

∴ y = m x + (-3)

∴ y = mx - 3

→ To find m substitute x and y by the coordinates of any point on the line

∵ Point (6, 0) lies on the line

∴ x = 6 and y = 0

∵ 0 = m(6) - 3

∴ 0 = 6m - 3

→ Add 3 to sides

∴ 0 + 3 = 6m - 3 + 3

∴ 3 = 6m

→ Divide both sides by 6 to find m

∴ [tex]\frac{3}{6}=\frac{6m}{6}[/tex]

∴ [tex]\frac{1}{2}=m[/tex]

→ Substitute the value of m in the equation above

∴ y = [tex]\frac{1}{2}[/tex] x - 3

→ Let us put x and y on one side and the number on the other

   side by subtracting y and add 3 to both sides

∵ y - y + 3 = [tex]\frac{1}{2}[/tex] x - 3 + 3 - y

∴ 3 =  [tex]\frac{1}{2}[/tex] x - y

→ Multiply both sides by 2

∴ 2(3) = 2( [tex]\frac{1}{2}[/tex] x) - 2(y)

∴ 6 = x - 2y

→ Switch the two sides

∴ x - 2y = 6

∴ The equation of the red line is x - 2y = 6

∵ The equations of the blue line and the red line are in answer a

∴ The system of equations is y = -2, x - 2y = 6

Note: you can use the point of intersection of the lines on the graph (2, -2) and substitute its coordinates in each answer to find which answer will satisfy that the two sides in each equation are equal

Answer:

y=7

Step-by-step explanation:

We have two numbers,  

x

,

y

. We know two things about them:

2

x

+

y

=

25

3

x

−

y

=

20

Let's add these two equations together which will cancel the  

y

:

5

x

+

0

y

=

45

x

=

45

5

=

9

We can now substitute in the  

x

value into one of the original equations (I'll do both) to get to  

y

:

2

x

+

y

=

25

2

(

9

)

+

y

=

25

18

+

y

=

25

y

=

7

3

x

−

y

=

20

3

(

9

)

−

y

=

20

27

−

y

=

20

Answer:

Step-by-step explanation:

 let the almond be x pounds

and the peanuts be y pounds

so

x+y=1.6--------1

5.5x+2.5y=6.75---2

let us multiply both eqn 1 by 5.5 to to eleminate x

and subtract eqn 2 from the new eqn

  5.5x+5.5y=8.8-----3

 -5.5x+2.5y=6.75---2

   0+3x=2.05

divide both sides by 3 we have

x=2.05/3

x=0.68 pound

put x=0.68 in eqn 1 we have

0.68+y=1.6

y=1.6-0.68

y=0.91 pounds

Alicia gets $2.50*0.91= $2.275

Sarah gets  $5.50 *0.68=$3.74

Answer:

Step-by-step explanation:

6/24, 26/60, 30/90

Answer:

Option 3 is the correct answer

Answer:

yeah it is option 3

Step-by-step explanation:

Answer:

a, d, and f

Step-by-step explanation:

The correct statement is the additive inverse is -4x.

Given that,

The function f(x) = 4x,

We have to find,

Which statements are true?

According to the question,

1. The additive inverse is composed of the terms which hold an opposite sign of the equivalent function.

Then, The additive inverse of f(x) = 4x is -4x.

2. The multiplicative inverse of the function is the inverse of the additive inverse.

Then, The multiplicative inverse of f(x) = 4x is 1/-4x.

3. And The value of f(x) when f(x) is -1 ,

The value of f(-1) is,

[tex]f(x) = 4x\\\\f(-1) = 4(-1)\\\\f(-1) =-4[/tex]

The value of f(-1) is 4.

Hence, The correct statement is the additive inverse is -4x.

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Answer: 721295.2

Step-by-step explanation:

Already rounded to the nearest tenth.

721295.2

pls give me brainliest it will mean a lot to me.

Answer:

721295.20- tenth

721300= tens spot

Step-by-step explanation:

tenth ? or tens place??

The depth of the trapezoidal prism needs to be 0.5 feet (a) in order for the gutter to hold 10 cubic feet of water.

To find the depth of the trapezoidal prism, we can use the formula for the volume of a trapezoidal prism, which is given by V = (1/2)h(b1 + b2)L, where V is the volume, h is the depth, b1, and b2 are the lengths of the parallel sides of the trapezoid, and L is the length of the prism.

In this problem, the length of the front portion of the house is given as 32 feet. The two parallel sides of the trapezoid are 6 inches (0.5 feet) and 9 inches (0.75 feet), respectively. We are looking for the depth of the trapezoidal prism that will result in a volume of 10 cubic feet.

Using the formula for volume, we can substitute the given values and solve for h: 10 = (1/2)h(0.5 + 0.75)(32). Simplifying the equation, we get 10 = 41h. Solving for h, we find that h = 10/41 ≈ 0.2439 feet.

Converting the depth to inches, we have approximately 0.2439 * 12 ≈ 2.93 inches. Rounding to the nearest tenth, the depth of the trapezoidal prism should be approximately 0.5 feet or 6 inches to hold 10 cubic feet of water.

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74.75

first 35 percent of 115 is 40.25

115 - 40.35 equals 74.75 in

Answer:

a)1:4 b)3:1

Step-by-step explanation:

a) 14:56

divide each side by 14 which gives you

1:4  

b) you do 240-180 to see how many were sold in a high street shop which 240-180=60

the ration becomes

180:60

divide each side be 60

this gives you

3:1

Answer:

96 x 67 + 362 - 1220 + 2 = 5576

Step-by-step explanation:

step 1: 96 x 67 = 6432

step 2: 6432 + 362 = 6794

step 3: 6794 - 1220 = 5574

step 4: 5574 + 2 = 5576

Answer:

y= -2/5x + -3

Step-by-step explanation:

y=mx+b

-1= -2/5(-5) +b

-1= 2+b

Solve for b

b= -3

Fill in the b and m and you get the answer

Answer:

Step-by-step explanation:

Given that :

Summit of Mount Washington = 6288 ft

Location of Carter notch = elevation of 3288 ft

The change in elevation will be :

A reduction in elevation from the summit of Mount Washington to Carter Notch

(6288ft - 3288ft) = 3000ft

Since it is a reduction from the initial elevation point or height, Then the change in elevation will be negative ;

= - 3000ft

We want to find the change in elevation of Sylvie and Bono. The point that represents the change in elevation is the point -3000.

To get the change in elevation we just need to compute:

Final elevation - Initial elevation

We know that the initial elevation is:

initial elevation = 6,288 ft

The final elevation is at an elevation of 3,288 ft, then we have:

final elevation = 3,288 ft

So the change in elevation is just:

3,288 ft - 6,288 ft = -3,000 ft

So the point that represents the change in elevation in feet is the point -3000.

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Answer:

S' (1,-2)

S'' (0,0)

Step-by-step explanation:

The coordinates of the image after a reflection across y=-1 followed by a translation <2,-1> is S' (1,-2) and S'' (0,0).

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

It is given that,

S(1,0)

If it is reflected across y=-1 followed by a translation <2,-1>.

The coordinates of the image will be S' (1,-2) and S'' (0,0).

Thus,the coordinates of the image after a reflection across y=-1 followed by a translation <2,-1> is S' (1,-2) and S'' (0,0).

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Answer:

-19.9 ft.

Step-by-step explanation:

Answer:

I think the answer is 19.9 if that's wrong I'm so sorry

The correct answer is: c) 1/3, 5/3 The cosine function has a period of 2π, meaning it repeats every 2π radians.

To find the solutions for x in the equation 12cos(2x) + 10 = 16, we can solve it algebraically. Let's begin:

12cos(2x) + 10 = 16

Subtract 10 from both sides:

12cos(2x) = 6

Divide both sides by 12:

cos(2x) = 1/2

Now, we want to find the two smallest positive solutions for cos(2x) = 1/2. The cosine function has a period of 2π, meaning it repeats every 2π radians. We are looking for solutions in the range of 0 to 2π.

The cosine function has values of 1/2 at two specific angles: π/3 and 5π/3.

So, we can set up the following equations:

2x = π/3 and 2x = 5π/3

Solving for x in each equation:

For 2x = π/3:

x = π/6

For 2x = 5π/3:

x = 5π/6

Thus, the two smallest positive solutions for x in the equation 12cos(2x) + 10 = 16 are x = π/6 and x = 5π/6.

Therefore, the correct answer is:

c) 1/3, 5/3

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Answer:

About 48 gallons so B

Step-by-step explanation:

440/20=22 miles per gallon

1054/22=47.90909091...

Answer:

n = 3

Step-by-step explanation:

5/15 = n/9​

We can solve using cross products

15 n = 5*9

15n = 45

Divide each side by 15

15n/15 = 45/15

n = 3

Answer:

to convert a fraction to a decimal, divide the numerator by the denominator.

Hope this helps.

Answer:

y=-5x+9

Step-by-step explanation:

y=-5x+2

Subsitute:

9=-5(0)+b

9=b

y=-5x+9

I'm not sure if this is the answer you want but here :)