Which graph is defined by the function given below?
y = (x+3)(x+3)

Answer:

Alexa did about 339.41 foot-pound of work in moving the barrel up the ramp.

Step-by-step explanation:

Work done is defined as the dot product of Force and displacement i.e.

W = F.d

Expanding the dot product, we get:

W = Fd cos(Ф)

Here,

W is the amount of work done, F is the Force applied, d is the displacement and Ф is the angle made by Force F with the horizontal. If we observe the given statement we can clearly see that:

Force applied = F = 120 pounds

Displacement = d = 4 feet

Angle of F with horizontal = Ф = 45 degrees

Substituting the values in the formula we get:

W = 120 x 4 x cos(45)

W = 339.41 foot-pound

This means, Alexa did about 339.41 foot-pound of work in moving the barrel up the ramp.

Final answer:

Alexa is doing approximately 339.33 pounds-feet of work to push the construction barrel up a 4-foot ramp at a 45-degree angle, calculated using the cosine of the angle to find the component of the force parallel to the direction of motion.

Explanation:

To calculate the work done by Alexa, we need to consider the component of the force she exerts that is parallel to the direction of motion up the ramp. Since the force exerted is in the horizontal direction and the ramp is at a 45-degree angle to the horizontal, we use the cosine of the angle to find this component. The formula for work is:

Work = Force × Distance × cos(θ)

Where the force is 120 pounds, the distance is 4 feet, and θ (theta) is the angle of the ramp, which is 45 degrees.

The component of the force parallel to the ramp is 120 pounds × cos(45°) = 120 pounds × 0.7071 (since the cosine of 45 degrees is √2/2, which approximately equals 0.7071).

The work performed by Alexa is:

Work = 120 pounds × 0.7071 × 4 feet × = 339.325 pounds-feet

Alexa is doing approximately 339.33 pounds-feet of work to push the construction barrel up the ramp.

Answer:

John's determination incorrect because he didn't give a unit rate which is miles per hour (mph).

The actual unit rate for his trip is v;

v = 70 miles ÷ 2 hours

v = 35 miles per hour

v = 35mph

Step-by-step explanation:

Given;

John travels 70 miles in 2 hours

John's determination incorrect because he didn't give a unit rate which is miles per hour (mph).

The actual unit rate for his trip is;

v = 70 miles ÷ 2 hours

v = 35 miles per hour

v = 35mph

Answer:

n=20,−8

Step-by-step explanation:

Relation (A) and polynomial (D) y = -4x² + 45x + 9 are functions rest are not function.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

In another word, a linear function is a function that varies linearly with respect to the changing variable.

In option (A) ;

For every single unique input, there is single unique output so it will function.

In option (B) ;

Here for x = 0,2 and y = 5 so it means for two inputs one output so it will not be a function.

In option (C) ;

For x = 0 , y = 2 , 4 so two output for one input it means it is also not a function.

In option (D) ;

y = -4x² + 45x 9 it gives one input for one output.

Hence "Relation (A) and polynomial (D) y = -4x² + 45x + 9 are functions rest are not function".

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Given question is incomplete so image has been attached

Answer:

18 Houseboats

Step-by-step explanation:

Given the set of numbers

12 18 23 26 29

Minimum = 12

First Quartile, Q₁ = 18

Median, Q₂ = 23

Third Quartile, Q₃ = 26

Maximum = 29

The first 25% of lakes have less than or equal to 18 houseboats.

Therefore, the 5-Number Summary suggests that about 75% of lakes in Minessotta have more than 18 Houseboats.

Answer:

18

YEET

Step-by-step explanation:

Answers and Step-by-step explanations

13. Square both sides: x^2 + 4x + 4 = 16(x - 2) = 16x - 32

Move all the terms to one side: x^2 - 12x + 36 = 0

Factorize: (x - 6)^2 = 0  ⇒  x = 6

14. Move one of the roots to one side: [tex]-\sqrt{2x-1} =\sqrt{3x-12}[/tex]

Square both sides: 2x - 1 = 3x - 12

Solve for x: x = 11

15. Subtract 4 from both sides: x - 4 = [tex]2\sqrt{x-4}[/tex]

Square both sides: x^2 - 8x + 16 = 4(x - 4) = 4x - 16

Move all the terms to one side: x^2 - 12x + 32 = 0

Factorize: (x - 4)(x - 8) = 0  ⇒  x = 4 or x = 8

16. Square both sides: x^2 - 4x + 4 = 9x - 36

Move all the terms to one side: x^2 - 13x + 40 = 0

Factorize: (x - 5)(x - 8) = 0  ⇒  x = 5 or x = 8

Hope this helps!

Answer:

13. x = 6

14. No real solutions

15. x = 4, 8

16. x = 5, 8

Step-by-step explanation:

13. Square both sides

(x + 2)² = 4²(x - 2)

x² + 4x + 4 = 16x - 32

x² - 12x + 36 = 0

x² - 6x - 6x + 36 = 0

x(x - 6) - 6(x - 6) = 0

(x - 6)(x - 6) = 0

x = 6

14. sqrt(2x - 1) = -sqrt(3x - 12)

No real solutions because a positive square root can not be equal to a negative square root

15. x - 4 = 2sqrt(x - 4)

(x - 4)² = 4(x - 4)

(x - 4)² - 4(x - 4) = 0

(x - 4)(x - 4 - 4) = 0

(x - 4)(x - 8) = 0

x = 4, 8

16. x - 2 = sqrt(9x - 36)

(x - 2)² = (9x - 36)

x² - 4x + 4 - 9x + 36 = 0

x² - 13x + 40 = 0

x² - 5x - 8x + 40 = 0

x(x - 5) - 8(x - 5) = 0

(x - 8)(x - 5) = 0

x = 5, 8

Answer:

100%

Step-by-step explanation:

Answer:

-1.6 m/s

Step-by-step explanation:

According to the equations of motion, the height in meters (s) after t seconds is:

[tex]s(t) = s_0+v_0t+a\frac{t^2}{2}[/tex]

If the initial position is 10 m and the initial velocity is 10 m/s:

[tex]s(t) = 100+10+a\frac{t^2}{2}[/tex]

When comparing it with the given height equation, it is possible to obtain the acceleration as follows:

[tex]100+10+a\frac{t^2}{2} =100+10t-0.8t^2\\\frac{a}{2}=-0.8\\ a=-1.6\ m/s[/tex]

Acceleration is -1.6 m/s.

Answer:

D

Step-by-step explanation:

it's In the picture

please like and Mark as brainliest

Answer:

Volume of the cylinder = D) 113.04 cubic cm

Step-by-step explanation:

[tex] \boxed{ \bold{formula = \pi \: {r}^{2} \: h }}[/tex]

= 3.14 × 2 × 2 × 9

= 3.14 × 36

= 113.04 cm³

Answer:

C. 8

At 8 seconds the object will hit the ground.

Answer: C. 8

Step-by-step explanation:

just did this

Answer:

44.24

Step-by-step explanation:

Khan academy

Answer:

Step-by-step explanation:

Answer:

[tex]8\sqrt{3}[/tex]

Step-by-step explanation:

2/3 pi radians =   2/3 * 180 =  2  * 60 =  120 degrees

split triangle in half:

30, 60, 90  triangle

1/2 PR= 4 root   3

Answer:

The answers are (1,1) and (2,2) or C and E

Step-by-step explanation:

Just did it on edge 2021

The ordered pairs are (1,1) and (2, 2).

In arithmetic, an ordered pair is a pair of gadgets. The order in which the items appear in the pair is good-sized: the ordered pair is different from the ordered pair except for a = b. Ordered pairs also are known as 2-tuples, or sequences of period 2.

An ordered pair is a pair of numbers in a specific order. for instance, (1, 2) and (- 4, 12) are ordered pairs. The order of the two numbers is crucial: (1, 2) isn't equal to (2, 1) -- (1, 2)≠(2, 1)

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Answer:

10cm

Step-by-step explanation:

If you are asking what is the length of each side?

The answer is simple first divide the total perimeter by the number of sides.(ONLY FOR A SQUARE) then you get your length.

Answer:

width= 25 inches

length= 34 inches

Step-by-step explanation:

width x length = 850 in²

w x (9+ w ) = 850 in²

9w+ w²=850 in²

9w + w²-850 =0

solve for w using quadratic formula

w= {-9 ±√(9)²-4(1)(-850)} ÷2(1)

w= 25; -34

The width is 25 because measurements can't be negative.

width= 25

length= 25+9=34

Answer:

The probability that the sum of the numbers rolled will equal 4 is [tex]\frac{1}{12}[/tex]

Step-by-step explanation:

Total possible outcome is 36

The sample space for the dice is shown below

[tex]\left[\begin{array}{cccccc}1,1&1,2&1,3&1,4&1, 5&1,6\\2,1&2,2&2,3&2,4&2, 5&2,6\\3,1&3,2&3,3&3,4&3, 5&3,6\\4,1&4,2&4,3&4,4&4, 5&4,6\\5,1&5,2&5,3&5,4&5, 5&5,6\\6,1&6,2&6,3&6,4&6, 5&6,6\end{array}\right][/tex]

From the above sample, the event of sum equals 4 is:

(1, 3)

(2, 2)

(3, 1)

Number of outcome with sum equals 4 is 3

[tex]Probability = \frac{number of possible outcome}{number of total outcome} \\Probability = \frac{3}{36} = \frac{1}{12}[/tex]

The probability that the sum of the numbers rolled will equal 4 is [tex]\frac{1}{12}[/tex]

Answer:

0.3333

Step-by-step explanation:

Out of 6x6 = 36 different scenarios that could happen when rolling the 2 cubes, there are 3 cases where the sum of the numbers rolled will equal 4:

(1,3) (3,1) and (2,2)

So the probability for these 3 cases to happen out of 36 is

[tex]\frac{3}{36} = \frac{1}{3}[/tex] or 0.3333

Answer: QP and SR on ed

Step-by-step explanation:

The chords in the circle that are congruent are PQ and SR.

Circle is the locus of a point such that its distance from a fixed point known as the center is constant.

Given from the diagram that:

∠PTQ = ∠STR (Vertical opposite angles are congruent)

Hence:

PQ = SR

The chords in the circle that are congruent are PQ and SR.

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Answer:

He can process 210 words in 3 minutes

Answer:

7

Step-by-step explanation:

We need to isolate the variable:

-2c + 6 = -8

-2c + 6 - 6 = -8 - 6

-2c = -14

-2c/-2 = -14/-2

c = 7

Thus, c = 7.

Hope this helps!

Method:

-2c+6=-8

     -6  -6

-2c=-14

/-2   /-2

c=7

Answer:

A≈54300

Step-by-step explanation:

To calculate the final amount in the bank account, we can use the formula A = P(e(rt)), where A is the final amount, P is the principal amount, e is the base of natural logarithms, r is the interest rate, and t is the time in years. In this case, Lucy invested $30,000 at an interest rate of 6.6% compounded continuously for 9 years. By substituting these values into the formula and evaluating the expression, the final amount in the account after 9 years is approximately $53,509.79.

To calculate the final amount in the bank account, we can use the formula: A = P(e(rt)), where A is the final amount, P is the principal amount, e is the base of natural logarithms, r is the interest rate, and t is the time in years. In this case, Lucy invested $30,000 at an interest rate of 6.6% compounded continuously for 9 years.

First, we need to convert the interest rate to a decimal by dividing it by 100: 6.6% = 0.066. Then, we can substitute the values into the formula: A = 30000(e0.066*9)). Using a calculator, we can evaluate this expression to get the final amount, which is approximately $53,509.79.

Answer:

The correct option is option [B].

The probability that both girls Selena and Tracey will a next at bat is [tex]\frac{48}{320}[/tex].

Step-by-step explanation:

Independent events:

If A and B are event. The occurrence of one of them does not affect the outcomes of other event. Then A and B are independent events.

P(A and B) =P(A)× P(B)

Dependent events:

If A and B are event. The outcomes of one of them affects the outcomes of other event. Then A and B are called dependent events.

P(A and B) =P(A)× P(B|A)= P(B)×P(A|B)

Given that,

Selena has 8 hits out of 20 times at bat.

The number of hits by Tracey out of 16 is 6 at bat.

A= Selena hits a softball.

B= Tracey hits a softball.

The probability that the Selena his a softball is

=P(A)

[tex]=\frac{8}{20}[/tex]

The probability that the Tracey his a softball is

=P(B)

[tex]=\frac{6}{16}[/tex]

Both event are independent. Sine the events do not affect the outcomes of other event.

The probability that both girls will a next at bat is

=P(A and B)

=P(A)×P(B)

[tex]=\frac{8}{20}\times \frac{6}{16}[/tex]

[tex]=\frac{48}{320}[/tex]

Answer:

135%

Step-by-step explanation:

we know that

One serving size equals 1/2 cup. Each serving has 30% of the recommended daily amount of vitamin C.

step 1

Using proportion

Find out the number of servings if Adriana drank 2 1/4 cups of juice

so

[tex]\frac{1}{\frac{1}{2}}=\frac{x}{2\frac{1}{4}}[/tex]

Convert mixed number to an improper fraction

[tex]2\frac{1}{4}=2+\frac{1}{4}=\frac{9}{4}[/tex]

substitute in the proportion

[tex]\frac{1}{\frac{1}{2}}=\frac{x}{\frac{9}{4}}\\\\x=\frac{(9/4)}{(1/2)}\\\\x=4.5\ servings[/tex]

step 2

we know that

Each serving has 30% of the recommended daily amount of vitamin C.

so

Multiply the number of servings by 30%

[tex]4.5(30\%)=135\%[/tex]

Answer:

4:30

:'?<>>{}_-(*>>>....,,::"{}}||\

[tex]c=6, e=2; so\\6\times6+2\times2=40[/tex]

Answer:

  3/8

Step-by-step explanation:

In terms of powers of 4, we have ...

  (4^-1)^(3z -1) = (4^2)^(z+2)×(4^3)^(z-2)

Taking logarithms base 4*, we have ...

  -(3z -1) = 2(z +2) +3(z -2)

  -3z +1 = 5z -2 . . . . simplify

  3 = 8z . . . . . . . . . . add 3z+2

  z = 3/8 . . . . . . . . . .divide by 8

_____

* This is equivalent to equating exponents of the same base. You're making use of the rules of exponents ...

  (a^b)^c = a^(bc)

  (a^b)(a^c) = a^(b+c)

  1/a = a^-1

and the logarithm relations ...

  logb(b^x) = x

  log(xy) = log(x) +log(y)

Answer:

ok

1) n=27

2) x=5/21

3) no solution

4) x=18

5) x=0

6) a=11

Step-by-step explanation:

hope this helps you..(:

Answer:

the anser is c

Step-by-step explanation:

just did the quiz and got 100 percent :)

Correct answer is C)

sorry this may not be helpful but the other answer is (A)

The population of the town in 2007, according to the exponential growth function y = 8.5(1.1)x, would be approximately 16,630 people.

The function given is an exponential growth function, where y = 8.5(1.1)x. Here, the variable y represents the population in thousands and x represents the number of years after 2000. To find the town's population in 2007, we replace x with 7 (since 2007 is 7 years after 2000) and calculate y.

Using the formula, y = 8.5 * (1.1)7. When calculated, we find y to be approximately 16.63. This means that, according to the model, the town's population in 2007 would be approximately 16630 (because the model represents the population in thousands).

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There are a total of 9 possible schedules that Tycho can choose from.

Thus, option (C) is correct.

Let consider the days of the week as Monday (M), Tuesday (T), Wednesday (W), Thursday (Th), Friday (F), Saturday (Sa), and Sunday (Su).

To create a schedule for exercise, Tycho needs to choose three days of the week to exercise such that no two exercise days are consecutive.

So, the possibilities are:

1. Tycho chooses Monday, Wednesday, and Friday.

The schedule is MW FSu.

2. Tycho chooses Monday, Wednesday, and Saturday.

The schedule is MW SaSu.

3. Tycho chooses Monday, Thursday, and Saturday.

The schedule is MT F SaSu.

4. Tycho chooses Monday, Thursday, and Sunday.

The schedule is MT SaSu.

5. Tycho chooses Tuesday, Thursday, and Saturday.

The schedule is TThSaSu.

6. Tycho chooses Tuesday, Thursday, and Sunday.

The schedule is TTSaSu.

7. Tycho chooses Tuesday, Friday, and Sunday.

The schedule is TFSaSu.

8. Tycho chooses Wednesday, Friday, and Sunday.

The schedule is W F SaSu.

9. Tycho chooses Wednesday, Thursday, and Saturday.

The schedule is W T FSaSu.

Thus, total of 9 possible schedules that Tycho can choose from.

Thus, option (C) is correct.

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