3s - 3 > 6 what is the Answer

Answer:

12

Step-by-step explanation:

Do the addition in the parentheses first.

20 + 10 = 30

So your equation should look like this now:

30 ÷ 5 · 2

According to PEMDAS, if there are two multiplication or division things, you have to divide or multiply the first one.

(I didn't explain that PEMDAS thing very well)

Divide 30 by 5

30 ÷ 5 = 6

Your equation:

6 · 2

Multiply.

6 · 2 = 12

Your answer is 12

Hope I helped :)

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Answer:

20°

Step-by-step explanation:

Step 1:

4n = 80°          Vertical ∠'s

Step 2:

n = 80° ÷ 4        Divide

Answer:

n = 20°

Hope This Helps :)

Answer:Hunter read 6 months in a month

Step-by-step explanation:

12/2=6 books in a month

Answer:

6 Books a Month

Step-by-step explanation:

12 / 2 = 6

Answer:

(x=11) + (y=6.4)

=11+ 6.4

=17.4

Answer:

48 cups of sauce

Step-by-step explanation:

You would do 6*8 because 6*2 is 12 and you need 12 quarts of sauce

Hope that helped

Yes, because for each input there is exactly one output. Therefore, the relation represented by the mapping diagram is a function.

To determine if the relation represented by the given mapping diagram is a function, we need to check if each input (x value) has exactly one output (y value) associated with it.

From the given mapping diagram, we can see that:

The input value -3 is associated with the output value 0.

The input value -1 is associated with the output value 2.

The input value 1 is associated with the output value 0.

The input value 3 is associated with the output value 2.

The input value 5 is associated with the output value 5.

As we can see, each input value has exactly one output value associated with it. Therefore, the relation represented by the mapping diagram is a function.

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The equation that represents the line passing through P and parallel to line m would be; B  y+2 = 2(x-3)

An equation is an expression that shows the relationship between two or more numbers and variables.

We have been given the line passing through P and parallel to line m.

We can conclude that the point lies on the line is (3, -2)

The slope of the given line is m = 2.

Thus the equation will be;

y-y₁ = m(x-x₁)

y+2 = 2(x-3)

The equation that represents the line passing through P and parallel to line m would be; B -> y+2 = 2(x-3)

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The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51  19. 17 < 23  20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)

To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.

To indicate that the first value is less than the second value, write <.

Alternatively, to indicate that the first value is greater than the second value, write >.

Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36

To determine the direction of inequality, we need to compare the values.

We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.

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The correct question would be as

Write > or < to make each statement true.

11. -5 0

12. 9 -8

13. -7 7

14. 55 -75

15. -32 -24

16. 89 73

17. -58 -51

18. -32 4

19. 17 23

20. 18 -36​

The volume of the outdoor pyramid is 16 times greater than that of the indoor pyramid.

What exactly is a square pyramid?

With a square base and four triangular faces or sides that meet at a single point (known as the vertex), a square pyramid is a three-dimensional geometric object. Because to its five faces, it is known as a pentahedron.

The outdoor pyramids is in the space of a rectangular pyramids

  the volume of  a rectangular pyramids

                                       V₁ = 1/3 . b . b h

                                      = 1/3 . (35.4) .(35.4) . (21.6)

                                     = 9,022.752 m³

    the volume of  a indoor rectangular pyramids

                         V₂ = 1/3 . b . b . h

                             = 1/3 * (15.5) * (15.5) * 7

                            = 560.583 m³

            V₁/V₂  =  9022.752/560.583

                       = 16.095  ≈ 16

Therefore, the volume of the outdoor pyramid is 16 times greater than that of the indoor pyramid.

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Answer:

It's 457152.

Step-by-step explanation:

 4762

x    96

Lay it out like this. Then begin muliplying the bottom right number (6) by each top number. Then once finished, add a 0 below your answer. Then multiply the bottom left number (9) by each top number again. Once that's all finished, add those two answers.

$37,500 should be invested in B-rated bonds and $22,500 should be invested in a certificate of deposit in order to realize exactly $6,000 in interest per year.

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Hello, please consider the following.

We know that

\(a = p^{\frac{1}{3}}-p^{-\frac{1}{3}}\\\\=p^{\frac{1}{3}}-\dfrac{1}{p^{\frac{1}{3}}}\)

And we can write that.

\((p-\dfrac{1}{p})^3=(p-\dfrac{1}{p})(p^2-2+\dfrac{1}{p^2})\\\\=p^3-2p+\dfrac{1}{p}-p+\dfrac{2}{p}-\dfrac{1}{p^3}\\\\=p^3-\dfrac{1}{p^3}-3(p-\dfrac{1}{p})\)

It means that, by replacing p by \(p^{1/3}\)

\((p^{1/3}-\dfrac{1}{p^{1/3}})^3=p-\dfrac{1}{p}-3(p^{1/3}-\dfrac{1}{p^{1/3}})\\\\\\\text{ So }\\\\a^3=p-\dfrac{1}{p}-3a\\\\<=>\boxed{ a^3+3a=p-\dfrac{1}{p} }\)

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

A statement that must be added to the given to keep this proof valid include the following: D. KN || LM.

In Mathematics, parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.

In Mathematics, the basic proportionality theorem states that when any of the two (2) sides of a triangle is intersected by a straight line which is parallel to the third (3rd) side of the triangle, then, the two (2) sides that are intersected would be divided proportionally and in the same ratio.

Based on the basic proportionality theorem, we know that line segment KN is parallel to line segment LM.

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we can see that Kiran is farthest from home (6 blocks away) at time 5, when he reaches the bank. He spends the most time away from home (9 minutes) during his entire journey.

How to make graph?

To make a graph showing Kiran's distance from home over time, we can use the following steps:

Divide the journey into three parts: from home to store, from store to bank, and from bank to home.

Calculate the time taken for each part of the journey based on the distance and speed.

Use a coordinate system to plot Kiran's distance from home on the y-axis and time on the x-axis.

Plot the points corresponding to Kiran's position at different times for each part of the journey.

Connect the dots to form a continuous line.

Let's go through each part of the journey in more detail:

Home to store: Kiran is driving at a speed of 1 block per minute, and the distance is 3 blocks. Therefore, he reaches the store in 3 minutes.

Store to bank: After spending 2 minutes at the store, Kiran continues driving at a speed of 1 block per minute, and the distance is 3 blocks. Therefore, he reaches the bank in 5 minutes.

Bank to home: After spending 4 minutes at the bank, Kiran drives at a speed of 2 blocks per minute, and the distance is 6 blocks. Therefore, he reaches home in 9 minutes.

To plot the graph, we can use a coordinate system where the x-axis represents time in minutes and the y-axis represents Kiran's distance from home in blocks. We can label the points on the graph corresponding to Kiran's position at different times, as follows:

At time zero, Kiran is at home, which is 0 blocks away from home.

At time three, Kiran reaches the store, which is 3 blocks away from home.

At time five, Kiran reaches the bank, which is 6 blocks away from home (3 blocks from the store plus 3 blocks from home).

At time nine, Kiran reaches home again, which is 0 blocks away from home.

To create the graph, we can plot these points and connect them with a line, as shown in the attached image.

Graph showing Kiran's distance from home over time

From the graph, we can see that Kiran is farthest from home (6 blocks away) at time 5, when he reaches the bank. He spends the most time away from home (9 minutes) during his entire journey.

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A paired t-test can be used to determine if there is a difference between the means of the two groups.

YES.

A paired t-test is appropriate for determining if there is a significant difference between the means of two groups when the data is paired or dependent. This test compares the means of two related samples to evaluate if the difference between them is statistically significant.

In a paired t-test, each observation in one group is paired or matched with a corresponding observation in the other group. The test examines the difference between the paired values and determines if that difference is significantly different from zero.

By calculating the t-statistic and comparing it to the critical values from the t-distribution, along with the degrees of freedom, we can assess if there is a significant difference between the means of the two groups.

Therefore, a paired t-test can be used to determine if there is a difference between the means of the two groups.

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Answer:

3$

Step-by-step explanation:

The equation that represents the cost of the van rental is $598.74 = 136.20 + $0.39m .

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

The general form of linear equations is:

y = a + bx

Where:

a = intercept

b = slope

The form of the equation that models the cost is:

Total cost = cost of renting the van + [cost per mile x (m - 120 miles)

$598.74 = $183 + [$0.39 x (m - 120)

$598.74 = $183 + $0.39m - 46.80

$598.74 = 136.20 + $0.39m

Thus, they travelled 1186 miles.

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Answer:

  6√3 ±3 ≈ {7.392, 13.392}

Step-by-step explanation:

The length of AB is the long side of a right triangle with hypotenuse CD and short side (AC -BD). The desired radius values will be half the length of EF, with AE added or subtracted.

__

Radii AC and BD are perpendicular to the points of tangency at A and B. They differ in length by AC -BD = 12 -9 = 3 units.

A right triangle can be drawn as in the attached figure, where it is shaded and labeled with vertices A, B, C. Its long leg (AB in the attachment) is the long leg of the right triangle with hypotenuse 21 and short leg 3. The length of that leg is found from the Pythagorean theorem to be ...

  AB = √(21² -3²) = √432 = 12√3

This is the same as the distance EF. Half this length, 6√3, is the distance from the midpoint of EF to E or F. The radii of the tangent circles to circles E and F will be (EF/2 ±3). Those values are ...

  6√3 ±3 ≈ {7.392, 13.392}

Answer:

6√3 ± 3

Step-by-step explanation:

AC is the radius of Circle C ⇒ radius = 12

DB is the radius of Circle D ⇒ radius = 9

Therefore, CD = AC + DB = 12 + 9 = 21

AE is the radius of Circle E ⇒ radius = 3

BF is the radius of Circle F ⇒ radius = 3

If AB is the common tangent of Circles C, D, E and F, then:

∠CAB =∠AEF = ∠DBA = ∠BFE = 90°

(as the tangent to a circle is always perpendicular its the radius).

Also AB = EF

To find the possible radii of a circle whose center is the midpoint of EF and is tangent to both circles E and F, we first need to find the length of EF (marked by x on the attached diagram).

CD is the hypotenuse of a right triangle with base equal to EF and a smaller leg of the difference between the radii of Circles C and D.

(Refer to the green shaded triangle on attachment 1)

Therefore, to find EF (x), use Pythagoras' Theorem a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)

⇒ a² + b² = c²

⇒ 3² + x² = CD²

⇒ 3² + x² = (12 + 9)²

⇒ 9 + x² = 441

⇒ x² = 432

⇒ x = √432

⇒ x = 12√3

⇒ EF = 12√3

As the radius of Circles E and F is 3, the possible diameter of the circle with its center as the midpoint of EF is 6 less or 6 more than the length of EF.

⇒ diameter = EF ± 6

                   = 12√3 ± 6

As the radius is half of the diameter, the possible radii of a circle whose center is the midpoint of EF and is tangent to both circles E and F is:

⇒ radius = diameter ÷ 2

               = (12√3 ± 6) ÷ 2

               = 6√3 ± 3

(see attachments 2 and 3 → the possible circles are shown in orange)

The value of x is x= π/8

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

2tan x/1-tan² x= 1

We know that tan π/4= 1

So, 2tan x/1-tan² x= tan π/4

Also, we know that tan 2x=  2tan x/1-tan² x

Again, 2tan x/1-tan² x= tan π/4

tan 2x= tan π/4

Now comparing we get

2x= π/4

x= π/8

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Answer:

C. -4 ± 2√6

Explanation:

The given equation is

3x² + 24x - 24 = 0

First, add 24 to both sides

3x² + 24x - 24 + 24 = 0 + 24

3x² + 24x = 24

And factorize 3 on the left side

3(x² + 8x) = 24

Then, to complete the square, we need to add and substract (b/2)² to the expression in parenthesis. In this case, b = 8, so

(b/2)² = (8/2)² = 4² = 16

Then, add and subtract 16 as follows

3(x² + 8x + 16 - 16) = 24

3(x² + 8x + 16) - 3(16) = 24

3(x² + 8x + 16) - 48 = 24

Finally, we can factorize and solve for x

3(x + 4)² - 48 = 24

3(x + 4)² - 48 + 48 = 24 + 48

3(x + 4)² = 72

3(x + 4)²/3 = 72/3

(x + 4)² = 24

Solving for x, we get

Therefore, the answer is

C. -4 ± 2√6

Answer:

10.125 i know it hope thisbhelps

Step-by-step explanation:

Answer:

s = 2 1/3 + 1/2

t = 2/3 + 3/2

We have to find the sum of both s and t.

2 1/3 + 1/2 = 2 2/6 + 3/6 = 2 5/6

2/3 + 3/2 = 4/6 +  9/6 = 13/6 = 2 1/6

If we look at the number lines, we can see that c matches with both points.

Answer:

It gets bigger

Step-by-step explanation:

You just multiply the circumference by 3

Answer:

The circumference is tripled

Step-by-step explanation:

The formula for the circumference is 2πr. If you triple the radius the formula would be 2π3r. the ratio between the two is 2π3r / 2π1r. 2π & r cancels out and you have 3/1 left. Therefore the answer is the circumference is tripled.

The fact that there is no exponential in the formula indicates that the proportional increase is lineal.

If the nex day, the biologist retums to the lake and takes a sample of 7 fish. Of those fish, 2 of them have tags. The estimated number of fish in the lake is 35 fish.

Let x represent the estimated number of fish in the lake

Hence,

x /10 = 7/2

Cross multiply

2x = 10 × 7

2x = 70

Divide both side by 2x

x =70/2

x = 35 fish

Therefore 35 is the number of fish.

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