20 POINTS!!!

Marisol recorded the height (in centimeters) of a pea plant over a 10-day
period for a science experiment. Which equation is the best model of the data?

Answer:

270[tex]\sqrt{3}[/tex] cm³

Step-by-step explanation:

A regular hexagon can be cut into 6 equilateral triangles.

The area (A) of an equilateral triangle can be calculated as

A = [tex]\frac{s^2\sqrt{3} }{4}[/tex] ← where s is the side length, here s = 6

A = [tex]\frac{6^2\sqrt{3} }{4}[/tex] = 9[tex]\sqrt{3}[/tex] cm² ← multiply by 6

area of base = 6 × 9[tex]\sqrt{3}[/tex] = 54[tex]\sqrt{3}[/tex] cm²

The volume (V) of the prism is calculated as

V = area of base × height = 54[tex]\sqrt{3}[/tex] × 5 = 270[tex]\sqrt{3}[/tex] cm³

Answer:

5x2x2x2x2x7x7

Step-by-step explanation:

First list all of the prime factors of 1120. You can do this by drawing a factor tree.

The results are:

5,2,2,2,2,7,7

To make 1120 a product of its prime factors, we just have to write it in the form:

5x2x2x2x2x7x7

Hope this helps

Answer:

1.3 million bicycles!

Step-by-step explanation:

Answer:

1.3 million bicycles

Step-by-step explanation:

got it right on edge 2020

Answer:

sin = 12/13 and tan = 12/5

The value of sin α will be 12/13 and tan α  will be 12/5 for the given triangle such that cosα= 5/13.

Trigonometric functions are functions for right angle triangle which gives the relation between the angle and sides of the triangle.

The trigonometric function is only valid for the right angle triangle and it is 6 functions which are given as sin cos tan cosec sec cot.

The trigonometric functions are found in the four quadrants, as well as their graphs, domains, and differentiation and integration.

We know that

sin²α  + cos²α  =1  ⇒ sin²α  = 1 - cos²α

Given that cosα = 5/13 so by putting it

sin²α  = 1 - (5/13)²

sin²α  = 144/169  ⇒ sinα = 12/13.

Now since tanα = sinα /cosα  

tanα  = (12/13) ÷ ( 5/13)

tanα = 12/5.

Hence the value of sinα will be 12/13 and tanα will be 12/5.

For more information about the trigonometric function

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Answer:

1/6

Step-by-step explanation:

An experimental probability is the number of times an event occurred when actually attempted.

So, if Jo does the experiment 60 times and receives 50 unpainted balls, then calculate how many painted balls she got:

60-50 = 10.

So, the probability of picking a painted ball = 10/60 = 1/6

Hope this helps

Answer:

All angles in a rectangle are congruent, because in a rectangle, all angles are 90 degrees.

Answer:

b) 5u.

Step-by-step explanation:

El triangulo es 45-45-90, entonces los dos lados son iguales. Si un lado es 8u, el otro lado tambien es 8u.

Entonces, 8u + x = 13u.

x = 13u - 8u

x = 5u

Espero que esto te ayude!

Answer:

nth term of geometric sequence = a(n) = [tex](3/4)(4/3)^{n-1}[/tex]

Step-by-step explanation:

nth term of geometric sequence = a(n)

nth term of geometric sequence = a(n) = [tex]ar^{n-1}[/tex]

Where,

a =  first term

r = common ratio

n = number of term

So,

GP: 3/4, 1, 4/3, 16/9

a = 3/4

r = 1 / [3/4] = 4/3

n = n

nth term of geometric sequence = a(n) = [tex]ar^{n-1}[/tex]

nth term of geometric sequence = a(n) = [tex](3/4)(4/3)^{n-1}[/tex]

Answer:

Hey!

Well because you havent really specified the question...

I have given you 9% of different numbers!

Step-by-step explanation:

9% of 1 = 0.09

9% of 10 = 0.9

9% of 100 = 9

9% of 1,000 = 90

9% of 10,000 = 900

________________

If you need more values...just let me know!

Hope this helps!

Answer:

[tex]1.2 * 10 ^{-8}[/tex]

Step-by-step explanation:

=> 0.000000012

Moving the decimal point after 1st non-zero digit:

=> [tex]1.2 * 10 ^{-8}[/tex]

Answer:

Scientific Notation: 1.2x10^-8, or 1.2e-8

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Let's say that point G is the origin, (0,0). Then, the coordinates of point R would be (-3, -5). Rotating the point 90° counter-clockwise would result in the final coordinates being (5, -3), therefore the answer is C.

Answer:

the possible combinations of $5 and $10 gift cards your club can purchase are :

eight $5 gift cards and twelve $10 gift cards

nine $5 gift cards and eleven $10 gift cards

or ten each of $5 gift cards and $10 gift cards

Step-by-step explanation:

From the information given:

You plan to buy a combination of $5 and $10 gift cards

You plan to buy exactly 20 gift cards and want to spend between $150 and $160.

The objective is to determine the possible combinations of $5 and $10 gift cards your club can purchase?

Let assume the g is the number of the $5 gift cards bought;

then (20 - g) will be the number of the $10 gift card bought.

Thus; the compound inequality for the amount spent between $150 and $160 will be:

= 150 ≤ 5g + 10(20 - g) ≤ 160

=  150 ≤ 5g + 200 - 10g ≤ 160

= 150 ≤ 5g -10 g + 200 ≤ 160

= 150 ≤ -5g + 200 ≤ 160

= 150-200 ≤ -5g ≤ 160 -200

= -50  ≤ -5g ≤ -40

Divide through by -5

= 10 ≥ g ≥ 8

= 8 ≤ g ≤ 10

Thus; the possible combinations of $5 and $10 gift cards your club can purchase are :

eight $5 gift cards and twelve $10 gift cards  = i.e 8 ×$5 + 12 ×$10

= $40+$120

=$160

nine $5 gift cards and eleven $10 gift cards

 =  9 ×$5 + 11 ×$10

= $45 + $110

= $155

or ten each of $5 gift cards and $10 gift cards

=  10 ×$5 + 10 ×$10

= $50 + $100

= $150

These combinations falls in between the range of $150 and $160.

Answer:

Option 4 (equilateral)

Step-by-step explanation:

This triangle is an equilateral triangle since all of its sides are equal i.e. 9 cm.

Answer:

The radius is the square root of the constant term, z

Step-by-step explanation:

makes sense, also took the test :)

Answer:

C. The radius is the square root of the constant term, z.

Step-by-step explanation:

Hope this helps :)

Answer:

28.

Step-by-step explanation:

I just did the question and I got it right. The answer above is right. The image below is where I did the question and has the picture attached next to it too.

*And I accidentally clicked the one star option, that's why it has such a low score.

An isosceles triangle is a triangle where two sides are equal and the angles opposite to the sides are also equal.

The value of y is 28.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

An isosceles triangle is a triangle where two sides are equal and the angles opposite to the sides are also equal.

m∠CAB = 34

m∠CBA = x - 5

m∠ACB = 4y

Triangle ABC is an isosceles triangle.

AC and BC are sides are equal.

This means,

m∠CAB = m∠CBA

34 = x - 5

34 + 5 = x

x = 39

Now,

The sum of the angles in a triangle is 180 degrees.

This means,

34 + (x -5) + 4y = 180

34 + (39 - 5) + 4y = 180

34 + 34 + 4y = 180

68 + 4y = 180

4y = 180 - 68

y = 112 / 4

y = 28

We can cross-check.

34 + 34 + 4 x 28 = 180

34 + 34 + 112 = 180

180 = 180

Thus,

The value of y is 28.

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Answer:

13 units.

Step-by-step explanation:

By Pythagoras:

(x -3)^2  + (x + 4)^2 = (2x - 3)^2

x^2 - 6x + 9 + x^2 + 8x + 16 = 4x^2 -12x + 9

4x^2 - x^2 - x^2  + 6x - 8x - 12x + 9 - 9 - 16 = 0

2x^2 -14x - 16 = 0

2(x^2 - 7x - 8) = 0

2(x -8)(x + 1) =0

x = 8, -1.

As x must be positive we take x = 8

So the hypotenuse is  2(8) - 3 = 13 units long.

Hey there! :)

Answer:

17.

Step-by-step explanation:

Given:

f(x) = 2x² - 1

Substitute in 3 for x:

f(3) = 2(3)² - 1

f(3) = 2(9) - 1

Simplify:

f(3) = 18 - 1

f(3) = 17.

Answer:

9:20

Step-by-step explanation:

Given:

Surface area of shape A = 9 cm²

Surface Area of shape B = 16 cm²

Ratio of volume of shape A to B = 27:125

Required:

Find the ratio of the height of shape A to the height of shape C.

Ratio of surface area (A:B)² = ratio of linear measures (A:B)

Thus,

(A:B)² = (A:B)

(A/B)² = (A/B)

[tex] (\frac{A}{B})^2= (\frac{9}{16}) [/tex]

Take the square root of both sides:

[tex] (\sqrt{\frac{A}{B}})^2 = (\sqrt{\frac{9}{16}}) [/tex]

[tex] \frac{A}{B} = \frac{3}{4}[/tex]

Ratio of volume of shape B to C = 27:125

Thus,

(B:C)³ = 27:125

[tex] (\frac{B}{C})^3= (\frac{27}{125}) [/tex]

Take the cube root of both sides:

[tex](3\sqrt{\frac{B}{C}})^3 = (3\sqrt{\frac{27}{125}})[/tex]

[tex] \frac{B}{C} = \frac{3}{5}[/tex]

Therefore, ratio of lengths A:B:C =

3:4:C

A:3:5

To make them equivalent, we have:

9:12:C

A:4:20

Therefore, the ratio of the height of shape A to the height of shape C =

9:20

Between 6 and 7

6×6=36

7×7=49

hopefully this helped

The number √37 is lies between whole numbers 6 and 7.

We have to given,

A number is, √37

By the definition of square root, we get;

⇒ √37 = 6.08

And, We know that,

Number 6.08 is lies between whole number 6 and 7.

Hence, We get;

⇒ 6 < √37 < 7

Therefore, The number √37 is lies between whole numbers 6 and 7.

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Answer:

h = 0.139725

Step-by-step explanation:

Volume of a Cylinder Formula: V = πr²h

You are given V = 20 and r = 6.75.

20 = π(6.75)²h

20/45.5625π = h

h = 0.139725

I'm not sure if this is correct or not.

Answer:

≈1.4 m

Step-by-step explanation:

V= 20 l= 20 000 cm³

d= 13.5 cm ⇒ r= 13.5 cm / 2= 6.75 cm  (assume it is cm)

V= πr²h

h= V/πr²= 20000/3.14*6.75² ≈ 140 cm= 1.4 m

Answer:

Volume = πr²h

= 3.14 * 5² * 4

= 314 cubic yards

Answer:

[tex]314 yd^3[/tex]

Step-by-step explanation:

Hey there!

Volume = π r^2 h

Plug in,

(3.14)(5^2)(4)

5•5 = 25

25 • 4 = 100

3.14 • 100

= 314

Hope this helps :)

Answer:

B

Step-by-step explanation:

1.5(c) - 7

It is this because his garden is 7 less than 1.5 times the carnation bushes not 7 times the carnation bushes.

Hope this helps:)

Answer:

The required expression is 1.5c-7

Step-by-step explanation:

Here, c represents the number of carnation bushes,

Since, the number of rose bushes is 7 less than 1.5 times the number of carnation bushes,

That is, the number of roses = 1.5c - 7

Hence, the required expression that represents the number of roses is 1.5c - 7.

Answer:

Step-by-step explanation:

Compound Interest Formula, Amount, [tex]A(n)=P(1+r)^n[/tex]

Interest=Amount - Principal

[tex]I=P(1+r)^n-P[/tex]

At the end of 1 year, interest =Rs450, therefore:

[tex]450=P(1+r)-P\\450=P+Pr-P\\450=Pr[/tex]

At the end of 2 years, interest =Rs945, therefore:

[tex]945=P(1+r)^2-P\\945=P(1+r)(1+r)-P\\945=P(1+r+r+r^2)-P\\945=P(1+2r+r^2)-P\\945=P+2Pr+Pr^2-P\\945=2Pr+Pr^2[/tex]

Recall: Pr=450

Therefore:

[tex]945=2(450)+Pr^2\\945-900=Pr^2\\Pr^2=45[/tex]

Comparing Pr=450 and [tex]Pr^2=45[/tex]

[tex]\dfrac{Pr^2}{Pr}= \dfrac{45}{450}\\r=0.1[/tex]

Substitute r=0.1 to obtain P

0.1P=450

P=Rs4500

Therefore:

Answer:

B

Step-by-step explanation:

a parabola would be x2 since it is square rooted it would be a curved so the answer would be the second graph

Answer:

(12, 40)

Step-by-step explanation:

The first thing is to assume that we have a point with the following coordinates (x, y).

Now, we can have two different cases since the meaning of the expansion of a point is moving to a new point that is a greater distance from the origin if we are expanding by a value, that is, an integer in the system of coordinates and the other case is that if we are dilating by a fraction that is between 0 <x <1, then the distance from the origin decreases.

Now, the point (x, y) goes through an expansion by a scale factor f (with the origin as the expansion point), then the new coordinate of the point = [f * x, f * y], that scale factor has the value of 3, so if we replace we have:

(3 * 4, 4 * 10) = (12, 40)

Answer:

The answer is option C.

Step-by-step explanation:

[tex] \sqrt{ {81d}^{6} } = \sqrt{81} \times \sqrt{ {d}^{6} } \\ = 9 {d}^{3} [/tex]

Hope this helps you

Answer:c

Step-by-step explanation:

Answer:

The angles are 110, 110 and 140

Step-by-step explanation:

Let the equal angles be x.

So we have angles x, x and another third one

Now, the other third angle is 30 degrees larger than x, this means that the other third angle is 30 + x

Since they are angles at a point, adding the three together will make or give 360.

Thus,

x + x + x + 30 = 360

3x + 30 = 360

3x = 360-30

3x = 330

x = 330/3

x = 110

So the other third angle is 110 + 30 = 140

So the angles are 110, 110 and 140

Answer:

[tex]\boxed{x = -6}[/tex]

Step-by-step explanation:

[tex]x-48 = 6(x-3)[/tex]

Resolving parenthesis

[tex]x - 48 = 6x-18[/tex]

Adding 18 to both sides

[tex]x-48+18 = 6x\\x-30 = 6x[/tex]

Subtracting x from both sides

[tex]-30 = 6x-x\\-30 = 5x[/tex]

Dividing both sides by 5

[tex]-30/5 = x[/tex]

[tex]-6 = x\\[/tex]

OR

x = -6

Answer:

Step-by-step explanation:

x - 48 = 6(x - 3)

Expand the terms in the bracket

That's

x - 48 = 6x - 18

Group the constants at the right side of the equation and the ones with variables at the left side

x - 6x = 48 - 18

- 5x = 30

Divide both sides by - 5

Hope this helps you

Answer:

3/7

Step-by-step explanation:

To find the square root of a fraction, find the square root of the numerator and denominator individually

So, √9 = 3

√49 = 7

Put them back as a fraction = 3/7

Hope this helps

Please mark brainiest

Answer:

3/7

Step-by-step explanation:

We want to find the square root of 9/49.

Remember that when we take the square root of a fraction, it's equal to taking the square root of each of the numerator and denominator.

Let's split this up into the numerator and denominator:

Numerator:

The numerator is 9, and we know that the square root of 9 is 3. This is because 3 * 3 = 9.

Denominator:

The denominator is 49, and we know the square root of 49 is 7 because 7 * 7 = 49.

Thus, we have:

[tex]\sqrt{\frac{9}{49} } =\frac{\sqrt{9} }{\sqrt{49} } =3/7[/tex]

The answer is hence 3/7.

~ an aesthetics lover

Step-by-step explanation:

taking common (a-b)

so we get the answer