Activity: A flagpole has cracked 1.7 m from the ground and fallen over, as if hinged. The top of the flagpole hit the ground 3 m from the base. How tall was the flagpole before it fell?

Answer:

The LCM of 12 and 10 is 60 so you would need to buy 60 / 12 = 5 packs of eggs and 60 / 10 = 6 packs of muffins.

Answer:

two I have no idea of the question

Answer:  49 ways

Step-by-step explanation:  7 possible ways up, 7 ways  down

Up and back on Rt 1, Up on Rt 1 down on Rt2 Up on  Rt 1 down on Rt3. .  . . .  Up on Rt 7, down on Rt7

You can imagine what was left out of the explanation.

Just Multiply 7×7 = 49

Answer:

5 = x

Step-by-step explanation:

12x+40=15x+25

Subtract 12x from each side

12x-12x+40=15x-12x+25

40 = 3x +25

Subtract 25 from each side

40-25 = 3x+25-25

15 =3x

Divide by 3

15/3 =3x/3

5 = x

Answer:

x=5

Step-by-step explanation:

12x+40=15x+25

12x=15x-15

12x=15x-15-15x

-3x=-15

-3x=-15 divide both by -3

answer is 5

Answer:

109 cm³

Step-by-step explanation:

Let the radius of semi-circle be r, then side of the cube is 2r and the height of the solid is also 2r

The circumference of the semi-circle can be calculated as:

Then we can find the value of r:

The volume of the combined solid is the sum of volumes of the cube and the semi-cylinder:

Answer:

Step-by-step explanation:

Given the expressions

[tex](1 + 3i)(6i) ,(1 + 3i)(2 -3i), (1 + 3i)(1 - 3i), (1 + 3i)(3i)[/tex]

From analysis one of the following pairs has real-number products

[tex](1 + 3i)(2 -3i), (1 + 3i)(1 - 3i)[/tex]

Performing operations on

[tex](1 + 3i)(2 -3i)= 2-3i+6-6i^2 \\= 2-3i+6-6(-1) \\=2-3i+6+6 \\=14-3i[/tex]

Performing operations on

[tex](1 + 3i)(1 - 3i) \\= 1-3i+3i-9(i)^2 \\= 1+0-9(-1) \\= 1+9=10[/tex]

Answer:

C

Step-by-step explanation:

trust

Answer:

$10.5 dollars

Step-by-step explanation:

Keep your brains.

Using the data given:

(18+4+12+8)÷4=

42÷4=

$10.5 dollars

Answer:

12x^3 + 12x^2y + 15xy - 18x

Step-by-step explanation:

I simply expanded the equation by multiplying everything in the parentheses by 3x.

Answer:

12x^3+12x^2y+15xy-18x

Step-by-step explanation:

3x (4x^2 + 4xy + 5y - 6)

Distribute

3x *4x^2 +3x* 4xy + 3x*5y -3x* 6

12x^3+12x^2y+15xy-18x

Answer:

[tex]g(x) = |\frac{1}{2}x - \frac{3}{2} | + 3[/tex]

Step-by-step explanation:

Given

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

Required

Translate the above one unit to the left

Replace y with f(x)

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

[tex]f(x) = |\frac{1}{2}x - 2| + 3[/tex]

When an absolute function is translated to the left, the resulting function is

[tex]g(x) = f(x - h)[/tex]

Because it is been translated 1 unit to the left, h = -1

[tex]g(x) = f(x - (-1))[/tex]

[tex]g(x) = f(x + 1)[/tex]

Calculating [tex]f(x+1)[/tex]

[tex]f(x+1) = |\frac{1}{2}(x+1) - 2| + 3[/tex]

Open bracket

[tex]f(x+1) = |\frac{1}{2}x + \frac{1}{2} - 2| + 3[/tex]

[tex]f(x+1) = |\frac{1}{2}x + \frac{1-4}{2} | + 3[/tex]

[tex]f(x+1) = |\frac{1}{2}x + \frac{-3}{2} | + 3[/tex]

[tex]f(x+1) = |\frac{1}{2}x - \frac{3}{2} | + 3[/tex]

Recall that

[tex]g(x) = f(x + 1)[/tex]

Hence;

[tex]g(x) = |\frac{1}{2}x - \frac{3}{2} | + 3[/tex]

Answer:

y=l1/2x-3/2l+3

Step-by-step explanation:

cause im him

Answer:

All the letter choices are correct.

Step-by-step explanation:

If thats not what you wanted, just comment below. Thank you!

Answer:

All letters showed are correct

Step-by-step explanation:

Answer:  A) The log parent function has negative values in the range.

Step-by-step explanation:

The domain of y = ln (x)  is D: x > 0

The domain of y = [tex]\sqrtx[/tex][tex]\sqrt x[/tex]  is  D: x ≥ 0

The range of y = ln (x)  is: R: -∞ < y < ∞

So the only valid option is A because the range of a log function contains negative y-values when 0 < x < 1.

Answer:

Step-by-step explanation:

since the rest of function is not showing, attached are the images of function and one to one

Answer:

y=5(x-1)^2-1

Step-by-step explanation:

Answer:

5(x - 1)² - 1

Step-by-step explanation:

Given

5x² - 10x + 4

Using the method of completing the square

The coefficient of the x² term must be 1 , so factor out 5 from the first 2 terms

= 5(x² - 2x) + 4

add/ subtract ( half the coefficient of the x- term )² to x² - 2x

= 5(x² + 2(- 1)x + 1 - 1 ) + 4

= 5(x - 1)² - 5 + 4

= 5(x - 1)² - 1 ← in vertex form

Answer: ITS B

Step-by-step explanation:

(2)(2)(2)(2)(2)

=32

2^5

=32

Hey there! I'm happy to help!

We are talking about exponents here, which is the power to which a number is raised. What does it mean to raise a number to a power? It means to multiply it a certain number times.

For example, 3 to the the 3rd power is 27 because you multiply 3 three times (3×3×3), giving you 27.

We have 2×2×2×2×2. We see that we have the number 2 and need to raise it to a certain power. Since there are 5 2s, we are raising to the 5th power.

Therefore, the answer is B.) 2 to the 5 power.

Have a wonderful day! :D

Answer:

Option (D)

Step-by-step explanation:

The given expression is,

3x² - 24x + 21

We will factorize the given expression by the following steps,

3x² - 24x + 21

= 3(x² - 8x + 7)

= 3(x² - 7x - x + 7)

= 3[x(x - 7) - 1(x - 7)]

= 3(x - 1)(x - 7)

= (3x - 3)(x - 7)

Therefore, factored form of the given expression is (3x - 3)(x - 7).

Option (D) will be the correct option.

Answer:

The value of x is 5 units.

Step-by-step explanation:

Complete Question

In the figure CD is the perpendicular bisector of AB. If the length of AC is 2x and the length of BC is 3x - 5 . The value of x is ?

The figure is presented in the attached image to this solution.

Solution

Using the concept of similar triangles,

We can prove that triangles CDA is similar to triangle CDB.

This can be proved using the SAS congruence property that two sides and an angle between them are the same.

- Side AD = Side DB (Given in the diagram)

- Angle CDA = Angle CDB = 90° (Also evident from the diagram)

- Side CD = Side CD (common side to the two triangles)

Hence, it is evident that

Side AC = Side CB

2x = 3x - 5

3x - 2x = 5

x = 5 units.

Hope this Helps!!!

Answer: d

Step-by-step explanation:

x*4=4x

5*4=20

Thus, all the new inequality is is a new, more complex version of the original.  Thus, the sign stays the same.

Hope it helps <3

Answer:

d)  ≥ .

Step-by-step explanation:

When x = 5 4x = 20.

hen x > 5  4x > 20.

Answer:

180

Step-by-step explanation:

Given the ratio = 7 : 3 : 2 = 7x : 3x : 2x ( x is a multiplier ), then

7x = 2x + 75 ( Natasha gets 75 more sweets than Henry )

Subtract 2x from both sides

5x = 75 ( divide both sides by 5 )

x = 15

Thus

total number of sweets = 7x + 3x + 2x = 12x = 12 × 15 = 180

Answer:

I believe its -68 but i could be wrong, because that's not a rational number, but it could also be -4080/60

Answer:

c. translation (x,y) -> (x-4, y-1) followed by reflection about y=0

Step-by-step explanation:

The strategy is to translate B to E then reflect about the x-axis (y=0)

From B to E, the process is

(x,y) -> (x-4, y-1)

Therefore it is a translation (x,y) -> (x-4, y-1) followed by reflection about y=0

Answer:

x=74.3

Step-by-step explanation:

tan 22= opp/adj

tan 22=30/x

x=30/tan 22

x=30/0.40402=74.3 unit

Answer:

Step-by-step explanation:

In order to solve for x we use tan

tan ∅ = opposite / adjacent

From the question

x is the adjacent

30 is the opposite

So we have

tan 22 = 30/x

x = 30/tan 22

x = 74.25260

Hope this helps you

Answer:

[tex] r = 17.3 [/tex]

Step-by-step explanation:

We are given the following:

m < T = 87°

TV = u = 11

TU = v = 14

UV = t = ?

Use the Law of Cosines to solve for the value of t as explained below:

[tex] t^2 = u^2 + v^2 - 2(u)(v)*cos(T) [/tex]

[tex] r^2 = 11^2 + 14^2 - 2(11)(14)*cos(87) [/tex]

[tex] r^2 = 121 + 196 - 16.12 [/tex]

[tex] r^2 = 317 - 16.12 [/tex]

[tex] r^2 = 300.88 [/tex]

[tex] r = \sqrt{300.88} [/tex]

[tex] r = 17.3 [/tex] (to the nearest tenth)

Answer:

6. Unit rate = 1.3 yards per second

7. Unit rate = 0.8 page per minute

Step-by-step explanation:

The unit rate is simply the comparison of 2 quantities, whereby dividing both, the denominator must be 1.

For example, in the graph given comparing distance walked over time, when x (time in s) = 3, y (distance in yd) = 4.

Unit rate represented by the slope is the yards covered per second.

Unit rate = [tex] \frac{4}{3} = 1.33 [/tex]

Unit rate ≈ 1.3 yards per second

For the second graph given, unit rate of the slope is the number of pages read per minute.

From the graph, 4 pages is read at 5 minutes.

Thus,

Unit rate = [tex] \frac{4}{5} = 0.8 [/tex]

Unit rate = 0.8 page per minute

Answer:

A) [tex]-18p^5 -30p^4 + 6p^3[/tex]

Step-by-step explanation:

We want to find the correct expansion of the brackets.

The expression given is:

[tex]-6p^3(3p^2 + 5p - 1)\\\\= -6* 3*p^3*p^2 + (-6*5 * p^3 * p) - (-6p^3 *1)\\\\= -18p^5 -30p^4 + 6p^3[/tex]

The correct answer is A ([tex]-18p^5 -30p^4 + 6p^3[/tex])

Answer:

A

Step-by-step explanation:

Answer:

-∞ < x< -∞

Step-by-step explanation:

The domain is the values that x takes

The values that x can take is all real values of x

-∞ < x< -∞

Answer:

134 136 138 139 141 142 144 146 147 149 155 165

Step-by-step explanation:

You just had to put least to greatest

Answer:

10 < 6n -2 ≤ 34

n= {3, 4, 5, 6}

Step-by-step explanation:

number

⇒ n

two less than six times the number

⇒ 6n -2

it is between ten and thirty-four (inclusive)

⇒ 10 < 6n -2 ≤ 34

we can solve it as:

or

Answer:

[2,6]

Step-by-step explanation:

Translate to an inequality. Since two less than six times her number is at least ten and at most thirty-four, we have the following inequality.

10≤6n−2≤34

Solve the compound inequality by isolating the variable in the center.

10≤6n−2≤3412≤6n≤362≤n≤6

Finally, write your answer in interval notation. The inequality includes all values between 2 and 6 including the end values, therefore the final answer is:

[2,6].

Answer:

4/25 = 0.16

Step-by-step explanation:

The shortest stick must be between 0 and 5/3.  The probability that it is longer than 1 is therefore:

(5/3 − 1) / (5/3 − 0)

(2/3) / (5/3)

2/5

So the probability that both of the shortest sticks are longer than 1 is (2/5)² = 4/25.

Answer:

Option D is correct.

In Deductive reasoning you start from a 'Given' set of rules and conditions to determine what must be true.

Step-by-step explanation:

Deductive reasoning is a top-to-down reasoning method that makes its conclusion on the basis of given premise(s) which is/are commonly assumed to be true.

It uses given rules, theorems, conditions, methods etc. to prove that other statements are true or not.

Hence, in Deductive reasoning you start from a 'Given' set of rules and conditions to determine what must be true.

Hope this Helps!!!

Answer:

The ratio between Roberto and David is 3:11

Step-by-step explanation:

If Roberto were to have 18 cards when we start, then David would have 24. Roberto has 3/4 the amount that David has. Then Roberto gives half of his cards (9) to David. Roberto now has 9 cards and David has 33.

The ratio of Roberto's cards to David's cards will be 3:11.

Algebra is the study of graphic formulas, while logic is the interpretation among those signs.

The number of Roberto's baseball cards is 3/4 the number of David's cards. If Roberto gives 1/2 of his cards to David.

If Roberto were to have 18 cards when we start, then David would have 24.

Roberto has 3/4 the amount that David has. Then Roberto gives half of his cards (9) to David. Roberto now has 9 cards and David has 33.

The ratio between Roberto and David is 3:11

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

Step-by-step explanation:

Given question is incomplete; here is the complete question.

∆ PQR shown in the figure below is transformed into ∆ STU by a dilation with center (0, 0) and a scale factor of 3.

Complete the following tasks,

- Draw ΔSTU on the same set of axes.

- Fill in the coordinates of the vertices of ΔSTU.

- Complete the statement that compares the two triangles.

When ΔPQR is transformed into ΔSTU by a dilation with center (0, 0) and a scale factor of 3,

Rule to followed to get the vertices of ΔSTU,

(x, y) → (3x, 3y)

P(1, 1) → S(3, 3)

Q(3, 2) → T(9, 6)

R(3, 1) → U(9, 3)

Length of QR = 2 - 1 = 1 unit

Length of PQ = [tex]\sqrt{(3-1)^2+(2-1)^2}=\sqrt{5}[/tex] units

Length of PR = 3 - 1 = 2 units

Length of ST = [tex]\sqrt{(9-3)^2+(6-3)^2}=3\sqrt{5}[/tex] units

Length of TU = 6 - 3 = 3 units

Length of SU = 9 - 3 = 6 units

Therefore, ratio of the corresponding sides of ΔPQR and ΔSTU,

[tex]\frac{\text{PQ}}{\text{ST}}=\frac{\text{QR}}{\text{TU}}=\frac{\text{PR}}{\text{SU}}[/tex]

[tex]\frac{\sqrt{5}}{3\sqrt{5}}=\frac{1}{3}=\frac{2}{6}[/tex]

[tex]\frac{1}{3}=\frac{1}{3}=\frac{1}{3}[/tex]

Since ratio of the corresponding sides are same,

Therefore, ΔPQR and ΔSTU are similar.