Which of the following are equivalent to x2 – 4x + 9? Select four answers.
A. (x – 3)2 – 4x
B. (3x2 – 3x + 1) – (2x2 + x – 8)
C. (x – 3)(x + 3) – 2x
D. (x – 3)2 +2x
E. (x – 5)(x + 1) +14
F. (8x2 + 2x) – (4x2 + 6x) + (9 – 3x2)

Answer: Y = 6.5

Step-by-step explanation:

Answer:

5.421 > 5.4

Step-by-step explanation:

C) 36π u²

1) As we're given the diameter, we can find out the radius by dividing the diameter by 2. According to that, the Diameter measure is 6 units long (8 -2)

2) So now, we can plug that into the following formula:

3) Hence, the answer is 36π u²

Answer:

f(6) = -8  

g(-3) = 59

Step-by-step explanation:

Read other responses on other answered questions. Comment below if you'd like a detailed explanation.

Answer:

7.11

Step-by-step explanation: Area=lengthxwdth

64=lengthx9

64/9=length

7.11=length

The Formula for the volume of a sphere is \(\frac{4}{3} \pi r^3\)

   Volume = \(\frac{4}{3} \pi (2)^3 = \frac{4*8}{3} \pi =33.510\)

The volume is 33.51 cubic feet

Hope that helps!

Answer:

40%.

Step-by-step explanation:

There are 6 / 15 apples out of the bowl.

6/15 = 2/5 = 0.4

So, 40% of the fruit in the bowl are apples.

Hope this helps!

Answer:

5

Step-by-step explanation:

jnjknmnj

Answer:100,000

Step-by-step explanation:

Answer:

D. \sqrt(384)

Step-by-step explanation:

All you have to do is to expand the root the way I have done. I hope you understand and rate this answer well.

Don't forget 8 is the same as root(8) * root(8) which will give root(64) and the square root of 64 is 8.

Hey there!

All you have to do is DISTRIBUTE

Here’s the formula:

a(b + c) = a(b) + a(c) = ab + ac

NOW LETS SOLVE FOR YOUR QUESTION

• 3a(a – 4b)

• 3a(a) + 3a(4b)

• 3a(a) = 3a² ⬅️ FRONT number

• 3a(4b) = 12ab ⬅️ BACK number

• Answer: 3a² + 12ab ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

The statements that complete the proof are:

From the question, we have the following parameters that can be used in our computation:

The incomplete two-column proof

Given that

QS || RT and ∠R ≅ ∠T

We have

∠Q ≅ ∠T because alternate inerior angles are equal

By the reflexive property, we have

ΔQST ≅ ΔQST

This implies that

ΔQTS ≅ ΔTQR

Lastly, we have: ∠QTS ≅ ∠TQR

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Answer: C

Step-by-step explanation:

This is the same question as 17042785 (the question number in the site URL), with the exception of using the other identity,

\(\sin^2x=\dfrac{1-\cos(2x)}2\)

We have

\(2\sin^4(2x)=2(\sin^2(2x))^2=2\left(\dfrac{1-\cos(4x)}2\right)^2=\dfrac12(1-\cos(4x))^2\)

Expand the binomial:

\(2\sin^4(2x)=\dfrac12(1-2\cos(4x)+\cos^2(4x))\)

Using the identity in the previous question,

\(\cos^2x=\dfrac{1+\cos(2x)}2\)

we get

\(\cos^2(4x)=\dfrac{1+\cos(8x)}2\)

So,

\(2\sin^4(2x)=\dfrac12\left(1-2\cos(4x)+\dfrac{1+\cos(8x)}2\right)\)

\(2\sin^4(2x)=\dfrac14\left(3-4\cos(4x)+\cos(8x)\right)\)

Answer:

The stem-and-leaf plot shows the test scores of a science class. Use the plot to answer the question. 1.how many students scored 78? (1 point) 1 student 2 students 3 students 4 students

the table shows the results of a survey of college students. find the probability that a student's first class of the day is a humanities class, given the student is female. First class of the day for college students male female humanities 70 80 science

Everyone in Andy’s class has to do a science project. Out of the 20 students, 80% have completed their project. How many students still need to finish their projects (got 4 students)

How many of the 28 students in Andy's class are boys, if 4/7 are girls?

Step-by-step explanation:

Using implicit differentiation dy/dx = -(2x + y)/(x + 2y) and d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³.

Implicit differentiation is the process of differentiating an equation in which it is not easy or possible to express y explicitly in terms of x.

Given the equation x² + xy + y² = 5,

we can differentiate both sides with respect to x using the chain rule as follows:

2x + (x(dy/dx) + y) + 2y(dy/dx) = 0

Simplifying this equation yields:

(x + 2y)dy/dx = -(2x + y)

Hence, dy/dx = -(2x + y)/(x + 2y)

Next, we need to find d^2y/dx^2 by differentiating the expression for dy/dx obtained above with respect to x, using the quotient rule.

That is:

d/dx(dy/dx) = d/dx[-(2x + y)/(x + 2y)](x + 2y)d^2y/dx² - (2x + y)(d/dx(x + 2y))

= -(2x + y)(d/dx(x + 2y)) + (x + 2y)(d/dx(2x + y))

Simplifying this equation yields:

d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³

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The values that go into the blanks are 19200 g, 3700 g, 8455 g, 800 g, 4450 g, 2.765 kg, 77 g, 12.508 kg, 30000 g and 7200 grams

From the question, we have the following parameters that can be used in our computation:

Statements 1 to 10

Evaluating the expressions, we have

Conversion

19 1/5 kg = 19 1/5  * 1000 g

19 1/5 kg = 19200 g

Sum

3.4 kg + 3/10 kg = 3.7 kg

3.4 kg + 3/10 kg = 3700 g

Difference

8.5 kg - 45 g = 8.455 kg

8.5 kg - 45 g = 8455 g

Dictionary and book

Heavier by = 1200 g - 0.4 kg

Heavier by = 800 g

Sum

1/2 kg + 50 g + 3.9 kg = 500 g + 50 g + 3900 g

1/2 kg + 50 g + 3.9 kg = 4450 g

Comparison

3 kg 15 g = ___ more than 1/4 kg

We have

Difference = 3 kg 15 g - 1/4 kg

Difference = 2.765 kg

So:

3 kg 15 g = 2.765 kg more than 1/4 kg

Sum

7/10 kg + 7/100 kg = 77 g

Sum

8 kg 8 g + 4 1/2 kg = 12.508 kg

Mr. Tan and Lisa

We have

Mr. Tan = 75 kg

Lisa = 2/5 of Mr. Tan

So, we have

Lisa = 2/5 of 75 kg

Lisa = 30000 g

Mass of 12 boxes

We have

Mass of 1 box = 0.6 kg

So, we have

Mass of 12 boxes = 0.6 kg * 12

Mass of 12 boxes = 7200 grams

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Direct distance from the base of the Space Needle to Kasie's house = 1429 feet.

The angle of depression is the angle between the horizontal line and the observation of the object from the horizontal line. It is basically used to get the distance of the two objects where the angles and an object's distance from the ground are known to us.

Given,

Height of the observation deck AB = 520 feet

Angle of depression = 70°

Distance of the Space needle base to house BC = ?

By the figure,

tan70° = AB/BC

BC = tan70°(AB)

BC = 2.7475(520)

BC = 1428.7 feet

Distance of the Space needle base to house to nearest foot = 1429 feet

Hence, 1429 feet is the distance between base of the Space Needle to Kasie's house.

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The radius of the semicircle protractor is approximately 4.693 cm.

Given,Perimeter of a semicircle protractor = 14.8 cm.

To find:The radius of a semicircle protractor.Solution:We know that the perimeter of a semicircle protractor is the sum of the straight edge of a protractor and half of the circumference of the circle whose radius is the radius of the protractor.

Circumference of a circle = 2πrWhere, r is the radius of the circle.If the radius of the semicircle protractor is r, then Perimeter of a semicircle protractor = r + πr [∵ half of the circumference of a circle =\((1/2) × 2πr = πr]14.8 = r + πr14.8 = r(1 + π) r = 14.8 / (1 + π)r ≈ 4.693\) cm.

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Answer:

hope this answer helps you dear....take care and may u have a great day ahead!

Answer:

C) C, B, D, E, A, F

Step-by-step explanation:

The closer the data points are to each other along the line of best fit on a scatter plot, the greater the correlation coefficient and vice versa.

Therefore, the scatter plot that has the least correlation coefficient would be the scatter plot with the data points that are farther apart from each other along the line of best fit which is C, followed by B, D, E, A, and F.

Answer:

4x² + 22x - 12

Step-by-step explanation:

A = bh/2

A = (4x - 2)(2x + 12)/2

A = (8x² + 48x - 4x - 24)/2

A = (8x² + 44x - 24)/2

A = 4x² + 22x - 12

Answer:

y > 0

Step-by-step explanation:

\(y = e^{4x}\)

This is an exponential function;

Consider as x → ∞, y → ∞;

If x = 0. y = e⁰ = 1;

As x → -∞, y → 0;

y ranges from 0 to ∞ therefore, i.e. y > 0

The total cost to run Val’s AC costs for a summer month of 30 days will be $67.5.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Quantity of electricity used in kilowatts is;

1000 watts = 1 kilowatts

2,500 watts = 2.5 kilowatts

Given that Number of hours Val runs AC per day = 5 hours

Number of days = 30 days

Cost of electricity = $0.18 kilowatts per hour

The Cost of Val’s AC to run for a summer month of 30 days can be calculated as;

= Quantity of electricity used × Number of hours Val runs AC per day × Number of days × Cost of electricity

= 2.5 × 5 × 30 × 0.18

= $67.5

The total cost to run Val’s AC costs for a summer month of 30 days will be $67.5.

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Answer

94 (don't go with my answer to be safe)

Step-by-step explanation:

brainliest please

The class width used for the frequency distribution is 6.

The class midpoint for the class 23-29 is 26.

The class midpoint for the class 30-36 is 33.

The class midpoint for the class 37-43 is 40.

To find the class width of the frequency distribution, we need to determine the range of each age class. The range is the difference between the upper and lower boundaries of each class. Looking at the table, we can see that the class boundaries are as follows:

23-29

30-36

37-43

For the class 23-29, the lower boundary is 23 and the upper boundary is 29. To find the class width, we subtract the lower boundary from the upper boundary:

Class width = 29 - 23 = 6

So, the class width for the frequency distribution is 6.

To find the class midpoint for each class, we take the average of the lower and upper boundaries of each class.

For the class 23-29:

Class midpoint = (23 + 29) / 2 = 52 / 2 = 26

For the class 30-36:

Class midpoint = (30 + 36) / 2 = 66 / 2 = 33

For the class 37-43:

Class midpoint = (37 + 43) / 2 = 80 / 2 = 40

So, the class midpoint for the class 23-29 is 26, for the class 30-36 is 33, and for the class 37-43 is 40.

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Answer:

$47.48

Step-by-step explanation:

Let x = the amount owed Sept.

x + x - 2.23 = 292.43  Combine like terms

2x -2.23 = 292.43  Add 2.23 to both sides

2x - 2.23 + 2.23 = 292.43 + 2.23

2x = 294.66  Divide both sides by 2

\(\frac{2x}{2}\) = \(\frac{294.66}{2}\)

x = 147.33 this is the bill for September

Oct. 147.33 -2.23 = 145.10 This is the Bill for Oct.

Total:

147.33 + 145.10 = 292.43

292.43 ÷ 3 = 97.48  This is what each will owe rounded to the nearest penny.

Answer:

a

Step-by-step explanation:

The journal entry to record the transaction is given:

Account Debit Credit

Cash $464,000

Common Stock, $3 par value $87,000

Paid-in capital in excess of par  $377,000

A journal entry is used to record a business transaction in the accounting records of a business.

A journal entry is usually recorded in the general ledger. Alternatively, it may be recorded in a subsidiary ledger that is then summarized and rolled forward into the general ledger

Assuming the shares have a $3 par value and sell for $16 cash per share:

Cash reeived from issuance of 29,000 common shares = 29,000 x $16 = $464,000

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