Heraldo starts a push-up challenge, and on the first day does 10 pushups, the second day he does 13, the third day he does 16, and so on.
Write the recursive definition for this sequence, and then find how many pushups he should do on the 20th day, if he continues.

Answers

Answer 1

Answer:

Day 20 = 67 pushups (64+3)

Step-by-step explanation:

Day 1 = 10 pushups  Day 2 = 13 pushups (10+3)  Day 3 = 16 pushups (13+3)

He does three more pushups each day.

So day 4 = 19 pushups (16+3)

Day 5 = 22 pushups (19+3)

Day 6 = 25 pushups (22+3)

Day 7 = 28 pushups (25+3)

Day 8 = 31 pushups (28+3)

Day 9 = 34 pushups (31+3)

Day 10 = 37 pushups (34+3)

Day 11 = 40 pushups (37+3)

Day 12 = 43 pushups (40+3)

Day 13 = 46 pushups (43+3)

Day 14 = 49 pushups (46+3)

Day 15 = 52 pushups (49+3)

Day 16 = 55 pushups (52+3)

Day 17 = 58 pushups (55+3)

Day 18 = 61 pushups (58+3)

Day 19 = 64 pushups (61+3)

Day 20 = 67 pushups (64+3)


Related Questions

What number should be subtracted from both sides of the following equation to solve for x?x + 27 = 303027573

Answers

Step 1

Given;

[tex]x+27=30[/tex]

Required; To solve for x

Step 2

Add -27 to both sides

[tex]\begin{gathered} x+27-27=30-27 \\ x=3 \end{gathered}[/tex]

Answer; The number that should be subtracted from both sides of the equation is 27

You would minus 27 from both sides.

Super Painters cobra S1.00 por pie cuadrado más una tarifa adicional de $ 25.00 para pintar una sala de estar. Ifx representa el área de las paredes de la sala de estar de Francesca, en pies cuadrados, e y representa el costo, en dólares, ¿qué gráfica representa mejor el costo de pintar su sala de estar

Answers

Responder

y = x + 25

Explicación

El costo de pintar y, para pintar x pies cuadrados es $ 25 más $ 1.00 por pie cuadrado.

Entonces, si se van a pintar x pies cuadrados, la tarifa será

y = (1 × x) + 25

y = x + 25

¡¡¡Espero que esto ayude!!!

A car that originally valued at $32,000 loses 18% of its value every 3 years. What will be the value of the car after 12 years?

Answers

The value of the car after 12 years is $15,229.50

Here, we want to calculate the value of a car that loses a percentage of its origial value after some years

To do this, we shall need an exponential equation that represents decay or depreciation

We can have this as;

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

where;

P is the present value that we want to calculate

I represents the original value of the car which is $32,000

r is the percentage of decrease per year

From the question, there is a decrease of 18% every 3 years

The percentage decrease per year will be 18%/3 = 6%

6% is same as 6/100 = 0.06

t represents the time frame we are considering = 12 years

We proceed to input all these values into the equation above

We have it as;

[tex]\begin{gathered} P=32,000(1-0.06)^{12} \\ \\ P=32,000(0.94)^{12} \\ \\ P\text{ = \$15,229.50} \end{gathered}[/tex]

Please helppp as fast as possible 25 POINTS**
FIND THE DOMAIN & RANGE OF THE FUNCTION
g(x)=|x + 4|

Please helppp as fast as possible

Answers

The domain and the range of the function g(x) = |x + 4| are oo < x < oo and y >= 4

What is domain?

The domain of a function are the set of output values, the function can take

What is range?

The range of a function are the set  of output values, the function can take

How to determine the domain and the range?

The definition of the function is given as

g(x) = |x + 4|

From the definition of the above function, we can see that the function is an absolute value function

This means that the function has a domain of all set of real values

This domain is represented as

Domain: -oo < x < oo

For an absolute function represented as

f(x) = |x + k|

The range is

y >= k

This means that the range of g(x) = |x + 4} is y >= 4

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the masses of 4 different animals from the zoo are shown in the table below. convert each measure to pounds. then sort the animals from least to greatest weight.
Animals: (mass kg)
brown bear: 272.16 kg
giraffe: 1,124.0 kg
lion: 226.8 kg
rhinoceros: 1,587.6 kg

Answers

1. When we convert each measurement to pounds, we have

Brown bear: 600 poundsGiraffe: 2478 poundsLion: 500 poundsRhinoceros: 3500.1 pounds

2. When we arrange from least to greatest, we have

Lion, brown bear, giraffe, rhinoceros

1. How to convert kilogram to pound

Coversion scale

1 kg = 2.20462

With the above scale, we can convert each measurement to pound as follow:

I. Brown bear

1 kg = 2.20462

Therefore,

272.16 Kg = 272.16 × 2.20462

272.16 Kg = 600 pounds

II. Giraffe

1 kg = 2.20462

Therefore,

1124.0 Kg = 1124.0 × 2.20462

1124.0 Kg = 2478 pounds

III. Lion

1 kg = 2.20462

Therefore,

226.8 Kg = 226.8 × 2.20462

226.8 Kg = 500 pounds

IV. Rhinoceros

1 kg = 2.20462

Therefore,

1587.6 Kg = 1587.6 × 2.20462

1587.6 Kg = 3500.1 pounds

2. How to arrange for least to greatest

Brown bear: 600 poundsGiraffe: 2478 poundsLion: 500 poundsRhinoceros: 3500.1 pounds

Thus, arranging from least to greatest, we have

Lion, brown bear, giraffe, rhinoceros

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help pls sos help sos help

Answers

Answer:

Step-by-step explanation:

Up 6 right 4: (4,6)

Right 4 up 6: (4,6)

Left 4 up 6: (-4, 6)

Down 4 right 6: (6, -4)

Right 6 down 4: (6, -4)

Answer: Right 4 up 6 is (4,6), left 4 up 6 is (-4,6), and right 6 down 4 is (6, -4).

Step-by-step explanation: Since you're starting from the origin, it's mainly counting. For (4,6), you are moving 4 places from 0 on the x axis. Then you move up 6 spaces from 4 on the y-axis. If you didn't move up, you'd be stuck at (4,0). It's important to keep in mind that (x,y).

Can someone help me with this?

Answers

Answer:

y = 77

Step-by-step explanation:

[tex]\frac{7}{3}[/tex] = [tex]\frac{y}{33}[/tex] ( cross- multiply )

3y = 7 × 33 = 231 ( divide both sides by 3 )

y = 77

The answer to this math question is 77

18. An 80-pound grass seed mixture is 30% bluegrass seed. How many pounds of seed
containing no bluegrass seed (0%) should be added to the seed mixture for a resulting
blend that is 20% bluegrass seed? Construct a table, then solve.

Answers

Step-by-step explanation:

what table is your teacher taking about ?

in any case this is resistive easy to solve

80 pounds of 30% with x pounds of 0% result in 80+x pounds of 20% :

80×0.3 + x×0 = (80 + x)×0.2 = 80×0.2 + x×0.2

80×0.1 = x×0.2

x = 80×0.1/0.2 = 80/2 = 40 pounds

so, 40 pounds of 0% have to be added to the 80 pounds of 30% to get a mixture of 20% (80+40 = 120 pounds).

On one day Fred’s Sports World sold 9 Buffalo Bills jerseys and 3 Miami Dolphin jerseys for a total of $899.40. The next day they sold 12 Bills jerseys and only 2 Dolphins jerseys for a total of $1139.30. How much is the Bills jersey and how much is the Dolphins jersey?

Answers

Given:

Let x be the cost of the Buffalo Bills jersey.

Let y be the cost of the Miami Dolphin jersey.

According to the question, we have

9x+3y=899.40.......(1)

12x+2y=1139.30.....(2)

From (1),

[tex]\begin{gathered} 3y=899.40-9x \\ y=299.8-3x\ldots\ldots(3) \end{gathered}[/tex]

Substitute equation (3) in equation (2), we get

[tex]\begin{gathered} 12x+2(299.8-3x)=1139.30 \\ 12x+599.6-6x=1139.30 \\ 6x=539.7 \\ x=89.95 \end{gathered}[/tex]

Then the value of y is,

[tex]\begin{gathered} y=299.8-3(89.95) \\ y=29.95 \end{gathered}[/tex]

Hence, the cost of the Buffalo Bills jersey is $89.95, and the cost of the Miami Dolphin jersey is $29.95.

Easy math, 50 points.

Answers

Answer:

2 1/2 (D)

Step-by-step explanation:

1 8/12 + 5/6

you have to make the denominator on the right equal to the denominator on the left. in order to do that, multiple the numerator and denominator on the left my two.

5/6 become 10/12.

1 8/12 + 10/12

1 18/12

Simplify,

2 6/12 (1/2)

Answer:

[tex]1\frac{8}{12}+\frac{5}{6}=2\frac{1}{2}[/tex]

In a quadrilateral, two angles are x°, two angles are (3x+8)°. What is x and the measures of the angles?

Answers

Step-by-step explanation:

the sum of all angles in any quadrilateral is 360°.

so,

x + x + 3x + 8 + 3x + 8 = 360

8x + 16 = 360

8x = 344

x = 344/8 = 43°

3x + 8 = 3×43 + 8 = 129 + 8 = 137°

so, the angles are

43°

137°

43°

137°

due in an hour pls help!!


just tell me where to put the points

Answers

   Translation is defined as an interpretation into another language or context. The Spanish word "bueno," which translates to "good," serves as an illustration. A translation can involve explaining to a parent the significance of their teen's expression.

What is the translational equation?  

The translation equation or formula is written as g(x) = f(x+k) + C.

Example

(x -3, y - 2)

x - 3 y - 2 ;

x-3 y-2

x-3y - 2

x² -  x - 6 =0

-x + 3 > 2x + 1

line(1, 2),(3 ,1)

f(x) = x³

prove tan²(x) - sin ²(x) = tan²(x) sin²(x)

d /dx(3x + 9/2 -x)

(sin²(0))

sin (120)

lim(x -> 0 (xln(x))

= 0 3/2n.

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Please help CORRET ANWSERS ONLY!

Answers

Answer:uhh

Step-by-step explanation:

what is 4.5=m + 2.75

Answers

4.5 = m + 2.75

Solving for m:

Subtract 2.75 from both sides:

4.5 - 2.75 = m + 2.75 - 2.75

1.75 = m

m = 1.75

A normal distribution has = 32 and = 5.
(a) Find the z score corresponding to
x = 27.



(b) Find the z score corresponding to
x = 43.



(c) Find the raw score corresponding to
z = −3.



(d) Find the raw score corresponding to
z = 1.1.

Answers

a) z score corresponding to x = 27 is -1

b) z score corresponding to x = 43 is 2.2

c)  Raw score corresponding to z = -3 is 17.

d) Raw score corresponding to z = 1.1 is 37.5

Given,

Normal distribution with μ = 32 and σ = 5

a) z score corresponding to x = 27

z = (x - μ) / σ

Then,

z = (27 - 32) / 5 = -5/5 = -1

That is, z score corresponding to x = 27 is -1.

b) z score corresponding to x = 43

z = (x - μ) / σ

Then,

z = (43 - 32) / 5 = 11/5 = 2.2

That is, z score corresponding to x = 43 is 2.2

c) Raw score corresponding to z = -3

z = (x - μ) / σ

Then,

-3 = (x - 32) / 5

-3 × 5 = x - 32

-15 = x - 32

x = 32 - 15 = 17

That is, raw score corresponding to z = -3 is 17.

d) Raw score corresponding to z = 1.1

z = (x - μ) / σ

1.1 = (x - 32) / 5

1.1 × 5 = x - 32

x = 32 + 5.5 = 37.5

That is, raw score corresponding to z = 1.1 is 37.5

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I inserted a picture because it was too much to type but please, if you answer try and do it fast. It's homework.

Answers

Jaleel and Angela purchased a bag of sugar and used it evenly so the amount of flour that they each need, based on their brownie recipes are:

Angela - 5 cups of flour Jaleel - 6 ²/₃ cups of flour

How to find the amount of flour needed?

Jaleel and Angela purchased a 20-cup bag of sugar and divided it evenly which means that they each get 10 cups of sugar.

The number of cups of sugar needed per cup of flour is:

= Change in sugar / Change in flour

= (3 - 1.5) / (2 - 1)

= 1.5 cups of sugar

The amount of flour needed would be:

= Number of cups of sugar / Cups of sugar per cup of flour

= 10 / 1.5

= 6 ²/₃ cups of flour

Angela's recipe shows that the cups of sugar needed per cup of flour is:

= (2 - 0) / (1 - 0)

= 2 cups of sugar

This means that with 10 cups of sugar, the amount of flour needed is:

= 10 x 1/2

= 5 cups of flour

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Determine the intercepts of the line:
y = 10x - 32

Answers

Answer:

The x intercept is 3.2, and the y intercept is -32.

Step-by-step explanation:

give brainiest

y-intercept is -32, x intercept is 3.2

Step-by-step explanation:

y-int is whatever b is in y=mx+b

x-int is whatever makes the equation equal to zero

Find the area of thisirregular figure.9 ft8 ft15 ft26 ft

Answers

The area of the irregular figure will be equal to the sum of area of triangle and the area of the rectangle.

The required area can be determined as,

[tex]\begin{gathered} A=A_t+A_r \\ =(\frac{1}{2}\times8\text{ ft}\times9\text{ ft)+(15 ft}\times26\text{ ft)} \\ =36ft^2+390ft^2 \\ =426ft^2 \end{gathered}[/tex]

Thus, the required area of the irregular figure is 426 square feet.

Door prizes for entrants in a young inventors competition are $100, $50, $25 and $10. In how many ways can the door prizes be awarded if there are 23 entrants?.

Answers

There are 212 520 ways that the door prizes can be awarded if there are 23 entrants

To solve this problem the formula and the permutation procedure we must use is:

nPr = n! / (n-r)!

Where:

nPr = permutationn = total number of objectsr = number of selected objects! = factorial of the number

Information about the problem:

n = 23 (entrants)r = 4 (prizes )23P4 =?

Applying the permutation formula we have:

nPr = n! / (n-r)!

23P4 = 23! / (23-4)!

23P4= 23! / 19!

23P4 = 23*22*21*20*19! / 19!

23P4 = 23*22*21*20

23P4 = 212520

What is permutation?

It is the ordered arrangement of members belonging to a set with no repeats.

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The impact of new entrants, new products, channel conflicts, and regulation would all be associated with the external opportunities and threats dimension of a SWOT website design analysis.

In summary, the impact of new entrants, new products, channel conflicts, and regulation are all factors that fall under the external opportunities and threats dimension of a SWOT website design analysis. 1. New entrants: When new companies enter the market offering similar website design services, it can increase competition and potentially affect the market share of existing website design businesses. This is an external threat as it poses challenges and risks to the current players in the industry. 2. New products: The introduction of new and innovative website design products can create opportunities for businesses to attract more customers and gain a competitive edge. This is an external opportunity that can be leveraged to improve market position.

3. Channel conflicts: Channel conflicts refer to conflicts or disputes that arise between different distribution channels. In the context of a SWOT analysis for website design, channel conflicts can impact how products and services are delivered to customers. For example, if a website design company relies heavily on a specific distribution channel and that channel experiences conflicts or disruptions, it can affect the company's ability to reach its target market. This is an external threat that needs to be considered.

4. Regulation: Regulations imposed by governing bodies can have a significant impact on website design businesses. For example, regulations related to data privacy, accessibility, or internet governance can affect how websites are designed and operated. Compliance with regulations is crucial to avoid penalties or legal issues. This is an external threat that businesses need to navigate.

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Which function matches the graph?
-5
-2
3/
7
A. f(x) =
(x + 3)(x - 5)(x + 7)²(x - 2)²
B. f(x) = (x - 3)²(x + 5)²(x-7)(x + 2)
C. f(x) = (x - 3)(x + 5)(x - 7)²(x + 2)²
D. f(x) = (x - 3)²(x + 5)(x-7)(x + 2)²
E. f(x) = (x + 3)²(x - 5)(x-7)²(x + 2)

Answers

Answer: B

Step-by-step explanation:

The root at [tex]x=-5[/tex] cuts through the x-axis, and has a multiplicity of one. So, it corresponds to a factor of [tex](x+5)[/tex].

The root at [tex]x=-2[/tex] bounces off the x-axis, and has a multiplicity of two. So, it corresponds to a factor of [tex](x+2)^2[/tex].

The root at [tex]x=3[/tex] cuts through the x-axis, and has a multiplicity of one. So, it corresponds to a factor of [tex](x-3)[/tex].

The root at [tex]x=7[/tex] bounces off the x-axis, and has a multiplicity of two. So, it corresponds to a factor of [tex](x-7)^2[/tex].

Triangle ABC is shown below, with the angle measures as marked.
What is the measure of Angle A and B?

Answers

The measure of Angle A and Angle B are 54° and 122° respectively.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

In triangle ABC,

The measure of angle A = (n + 20)°

The measure of angle B = (3n - 10)°

The measure of angle C = n°

Now,

The sum of all the angles of the triangle = 180°

So, we can formulate;

(n + 20)° + (3n - 10)° + n° = 180°

Solve for n as;

n + 20 + 3n - 10 + n = 180

5n + 10 = 180

5n = 180 - 10

5n = 170

Divide by 5, we get;

n = 170/5

n = 34

Thus, The measure of angle A = (n + 20)°

                                               = 34 + 20

                                               = 54°

And, The measure of angle B = (3n - 10)°

                                             = 3 x 34 + 20

                                             = 102 + 20

                                             = 122°

Therefore,

The measure of Angle A and Angle B are 54° and 122° respectively.

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alues there is action youThe ton presents a function because

Answers

Answer:

The equivalent expression is;

[tex]\frac{1}{x^{19}}[/tex]

Explanation:

Given the expression;

[tex]\frac{(x^{-5})^4}{x^{-1}}[/tex]

we want to simplify;

[tex]\begin{gathered} \frac{(x^{-5})^4}{x^{-1}} \\ =\frac{x^{-5}^{(4)}}{x^{-1}} \\ =\frac{x^{-20}}{x^{-1}} \end{gathered}[/tex]

Applying the rules of exponent;

[tex]\begin{gathered} =\frac{x^{-20}}{x^{-1}} \\ =\frac{1}{x^{20}}\times\frac{1}{x^{-1}} \\ =\frac{1}{x^{20-1}} \\ =\frac{1}{x^{19}} \end{gathered}[/tex]

Therefore, the equivalent expression is;

[tex]\frac{1}{x^{19}}[/tex]

ASAP PLEASE HELP *20 POINTS*
1.If the parent function f(x) = |x| is transformed to h(x) = |x| - 3, what transformation occurs from f(x) to h(x)?

A.Shift left 3 units
B.Shift right 3 units
C.Shift up 3 units
D.Shift down 3 units

2. If the parent function f(x) = |x| is transformed to h(x) = |x| - 3, how is the vertex affected? Select all that apply.

A.The vertex will not change.
B.The vertex will shift right 3 units.
C.The vertex will shift left 3 units.
D.The vertex will shift up 3 units.
E.The vertex will shift down 3 units.
F.The vertex will not move up or down.
G.The vertex will not move right or left.

3. If the parent function f(x) = |x| is transformed to h(x) = |x| - 3, how is the range affected?

A.The range will not change.
B.The range will be all real numbers.
C.The range will change from y ≥ 0 to y ≥ -3.
D.The range will change from x ≥ 0 to x ≥ -3.

Answers

if the parent function f(x) = |x| is transformed to h(x) = |x| - 3,

1. The transformation occurs from f(x) to h(x) is D. Shift down 3 units

2. The vertex is affected by:

E. The vertex will shift down 3 unitsG. The vertex will not move right or left

3. The range will C. change from y ≥ 0 to y ≥ -3.

What is transformation?

This is an ordered movement of image or object as seen in geometry. The instance here the movement is done by the graph f(x) and h(x) as described.

The type of movement described is called translation.

What is the range?

The range refers to the output of the graph and is typically the y direction.

The range here changed from the origin which is the initial vertex and included point y ≥ -3

It should be noted that the origin of the graph refers to the point y ≥ 0

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For Point A (m,n) to fall in the correct quadrant, if the value of m is 6, the 6 would be
, and if the value of n is 3, the 3 would be

6 positive or negative
3 positive or negative

Here's the picture if you are confused I guess

Answers

6 must be negative and 3 is also negative

The lateral surface area of cone A is equal to the lateral surface area of
cylinder B.
A
2h
A. True
B. False

Answers

The lateral surface area of cone A is equal to the lateral surface area of

cylinder B. This is true.

How to illustrate the information?

Lateral area of cone is given by: πrl

where r is the radius and l is the slant height

Here r=r and l=2h

Hence, lateral area of cone A= π×r×2h =  2πrh

Lateral area of cylinder is given by: 2πrh

where r is the radius and h is the height

Lateral area of cylinder B=2πrh

Clearly, both the lateral areas are equal. Therefore, it's true.

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PLSSSSSS ANSWER SOON!!!!!!!
There is a pic
solve for P

Answers

Answer:

48x

Step-by-step explanation:

15+2+7+15+2+7=48 + x = 48x

Hope this helps!

This is algebra 2 (Parabola Transformation) . I have no clue on how to do this and I’m failing because of this missing assignment. Please help me. Please.

Answers

SOLUTION

Step 1 :

We are meant to graph the function,

[tex]\begin{gathered} y=-(x+2)^2\text{ + 7} \\ \text{compared with the parent function,} \\ y=x^2 \end{gathered}[/tex]

Step 2 :

The Transformations are Reflection, Vertical Shift and Horizontal Shift.

Step 3 :

The vertex is at ( - 2, 7 ) and it is a maximum.

10) Find DF if LF = 2X - 8 and LD = X - 3 ​

Answers

Answer:

  DF = 4

Step-by-step explanation:

You want DF when L is the midpoint, LD = x-3 and LF = 2x-8.

Congruent segments

Segments DL and LF are marked the same, so are congruent. Using the given expressions, we have ...

  LF = LD

  2x -8 = x -3

  x = 5 . . . . . . . . add 8-x to both sides

Then the measures of the segments are ...

  LF = 2(5) -8 = 2

  LD = 5 -3 = 2

  DF = DL +LF = 2 +2 = 4

The length of DF is 4 units.

On what day does frank first get charged an overdraft fee? a. wednesday b. thursday c. friday d. saturday

Answers

Frank first get charged an overdraft fee on Wednesday

Frank has $66.50 in his account as of Sunday.

He made a debit of $60.33 on Monday (66.50 - 60.33), leaving him with a balance of $6.17. He added $80.75 to the account on that same Monday (6.17 plus 80.75). He has $86.92 left over as of Monday.

Frank had a balance of $86.92 on Tuesday when he made a $54.45 debit (86.92 - 54.45). The remaining balance is $32.47.

Frank had a balance of $32.47 at the beginning of the day on Wednesday. He subsequently made withdraw of $49.20. debit(32.47 - 49.20). Frank has overdrawn and will be assessed an overdraft fee following the debit because his balance is -$16.73. Frank still has a negative balance even after making a deposit of $15.

Therefore, Frank was therefore assessed an overdraft fee on Wednesday.

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[tex]10 \sqrt{3} - 4 \sqrt{48} - \sqrt{75} [/tex]
10v3-4v48-v75 help pld​

Answers

The most appropriate choice for surds will be given by-

[tex]-11\sqrt{3}[/tex] is the correct answer.

What are surds?

There are some natural numbers which are not perfect squares. Their square root are not natural numbers. Those numbers are called surds. The most important method for simplification of surds is prime factorization.

[tex]10\sqrt{3} - 4 \sqrt{48}-\sqrt{75}\\10\sqrt{3} - 4\sqrt{2\times2\times 2\times 2\times3}-\sqrt{3\times 5\times5}\\10\sqrt{3} - 4\times 2\times 2\sqrt{3} - 5\sqrt{3}\\10\sqrt{3} - 16\sqrt{3}-5\sqrt{3}\\-6\sqrt{3} - 5\sqrt{3}\\-11\sqrt{3}[/tex]

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for each triangle identify a base and corresponding height use them to find the are What is neutralization reaction? Use an example to describe the components of neutralization reaction Systems function in cycles and consist of _____ that increase a process or component, and _____ that diminish a process or component. O positive feedbacks, negative feedbacks O open systems, closed systems O throughputs, thresholds O positive feedbacks, open systems O balances, imbalances What is the average rate of change over the interval [1,2]Type the numerical value for your answer as a whole number, decimal, or fractionMake sure answers are completely simplified Aunt Eloises house is always 20C. She has just made a fresh cup of tea (tea is made with boiling water and water boils at 100C) five minutes after she made the tea her mad scientist nephew came in, stuck a thermometer in the cup and announced that the tea was now only 70C. She had gotten involved with her book and forgot to have even a sip of her tea. Now she wont drink it because it isnt piping hot anymore.Write and equation that models this problem and use it to predict the temperature of the tea 20 minutes after it was taken off the stove. Decide whether the word problem represents a linear or exponential function. Circle either linear or exponential. Then, write the function formula. As an African American prohibitionist, Frederick Douglass was in favor of the 18th Amendment because he ? 5. The domain of f(x) = -2x + 1 is {-4, -1, 0, 2}. Find the range. Write an equation in point slope form for the line given the slope of 4,and a point on the line (1,2) how do the location and size of warehouses affect the performance of a firm such as amazon? what factors should amazon take into account when deciding where and how big its warehouses should be? what percentage of students scored before 70-90 points on the exam? Round your answer to the nearest tenth of a percent? If John Glenn weighed 640 N on Earth's surface, a) how much would he haveweighed if his Mercury spacecraft had (hypothetically) remained at twice thedistance from the center of Earth? b) Why is it said that an astronaut is nevertruly "weightless?" If p(x) is a polynomial function where p(x) = 3(x + 1)(x - 2)(2x-5)a. What are the x-intercepts of the graph of p(x)?b. What is the end behavior (as x , f(x)?? and as x -, f (x) ??) of p(x))?c. Find an equation for a polynomial q(x) that has x-intercepts at -2, 34, and 7. Equal masses are suspended from two separate wires made of the same material. The wires have identical lengths. The first wire has a larger cross-sectional area than the second wire. Which wire will stretch the least?. a 7% convertible debenture is selling at 101, and it is convertible into the common stock of the same corporation at $25. the common stock is currently trading at $23. what is the parity price of the debenture? A line contains the points (-21,-94) and(-34,-172).What is the slope of the line in simplified form? How could someone become a member of the Cabildo? Questlon 5 Refer to the figure. HJ I JE. HII IE. HJ HI J H E Complete the explanation to show triangle EJH is congruent to triangle EIH. The two triangles given are _____triangles. The leg and hypotenuse of triangle EJH are congrue hypotenuse of triangle EIH. By the ______ Theorem the third side ma triangles are congruent by the____ Triangle Congruence Theorem.choice 1.acute,obtuse or right angleschoice 2.corresponding parts of congruent triangles, pythagorean,or side-angle-side triangle congruence.choice 3. side-side-side, side-angle-side,or angle-side-angle which of the following statements best describes the info shown on the mapA: The territories and several states in the midwest produced no crops in 1860B: The southern-most states relied most heavily on one cropC: Louisiana held a monopoly on the sugar industry in 1860D: Most states in the south had at least 2 crops on which their economy relied hopfrog woodworks is an artisan woodworking shop that sells custom-designed and handcrafted woodworks such as boxes, birdhouses, signs, and plaques. the owner knows that his customers do not want pre-fabricated products made out of manufactured particle board. they are looking for products made of responsibly sourced, high-quality wood, where each handcrafted item reflects the personality of the customer that orders it. the most effective segmentation strategy for a company like hopfrog woodworks is