Mathematics College

## Answers

**Answer 1**

**Answer:**

I get 65.94

**Step-by-step explanation: 6 15 19 11**

3.14 (a²+ab) when a equals 3 and b equals 4

3.14 (**a**²+**a**b) when **a** equals **3** and b equals 4

3.14 (3²+3b) when **a** equals **3** and b equals 4

3.14 (a²+a**b**) when a equals 3 and **b** equals **4**

3.14 (3²+3×4) when **a** equals **3** and **b** equals **4**

3.14 (3²+3×4)

3.14 (9+12)

3.14 (21)

3.14 × 21 = 62.8 + 3.14 = 65.94

## Related Questions

If 16x2 + nx + 49 is the square of a

binomial, then what value could n be?

A.14

B.28

C.42

D.56

### Answers

**Answer:**

Th correct option is (d).

**Step-by-step explanation:**

The given expression is :

[tex]16x^2 + nx + 49[/tex] ....(1)

We know that, 16 = 4² and 49 = 7²

Also, (a+b)² = a²+2ab+b²

The given expression becomes,

[tex]16x^2 + nx + 49=(4x)^2+nx+7^2\\\\=(4x)^2+2(4x)(7)+7^2\\\\=16x^2+56x+49\ ......(2)[/tex]

Comparing equations (1) and (2),

n = 56

**Hence, the value of n is equal to 56.**

What is the length of side a? Round to the nearest tenth of an inch. Enter your answer in the box.

16 in.

a

7 in.

### Answers

The answer for you’re problem is 4.6

What is an equation of the line that passes through the points (8, -8) and (1, 6)?

### Answers

**Answer:**

[tex]y=-2x+8[/tex]

**Step-by-step explanation:**

In slope-intercept form, the equation of a line is given by [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope of the line, [tex]b[/tex] is the y-intercept, and [tex](x,y)[/tex] represent the coordinates of any point the line passes through.

Since we're given two points the line passes through, we can find the slope of the line using the slope formula [tex]m=\frac{\Delta y}{\Delta x}[/tex]:

[tex]m=\frac{-8-6}{8-1}=\frac{-14}{7}=-2[/tex]

Now we can plug in any point the line passes through to find the y-intercept:

[tex]6=-2(1)+b,\\6=-2+b,\\b=8[/tex]

Thus, the equation of this line is equal to [tex]y=-2x+8[/tex].

Identify the hypotheses and conclusion of this conditional statement: If two lines intersect at right angles, then the two lines are perpendicular

### Answers

**Answers:**

**hypothesis = two lines intersect at right angles****conclusion = the two lines are perpendicular**

=================================================

Explanation:

Any conditional statement is of the form "If P, then Q"

P is the hypothesis, which is the initial set up to lead to the conclusion Q

As an example, the sentence "If it rains, then it gets wet on the road" has P = "it rains" as the hypothesis and Q = "it gets wet on the road" as the conclusion.

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In short, the format is "If hypothesis, then conclusion".

Pat used unit cubes to build a right rectangular prism with a volume of 32 cubic units. The height of the prism is 4 units. What figure could be the bottom layer of the prism?

### Answers

**Answer:**

It must be a rectangle with dimension of either 1 by 8 or 2 by 4

**Step-by-step explanation:**

V = l*w*h

32 = l*w*4

32/4 = l*w*4/4

8 = l*w

We could have 1*8

We could have 2*4

It must be a rectangle

It must be a rectangle with dimension of either 1 by 8 or 2 by 4

NEED HELP ASAP

find the volume of the cone

### Answers

**Answer:**

3619.11 or 3619.1

**Step-by-step explanation:**

i don't really know how to explain but that's what i got

**Answer:**

3,619.1 cm^3

**Step-by-step explanation:**

[tex]V=\pi r^{2}\frac{h}{3} \\V=\pi 12^{2} \frac{24}{3} \\V=3,619.115[/tex]

please help. is due tonight. Thank you

### Answers

**Answer:**

I am class 6 sorry can't

**Answer:**

**Step-by-step explanation:**

take 60 degree as reference angle

using tan rule

tan 60=opposite/adjacent

[tex]\sqrt{3[/tex]=x/5

5*[tex]\sqrt{3[/tex] =x

5[tex]\sqrt{3[/tex]=x

Does anyone know what is a passing grade in high school?

### Answers

**Answer:**

yes. In highschool the passing grade is

80-89 (B) thats pretty much good.

70-79 (C) average

65-69 (D) passing

BELOW 65 (F) FAILING

Although A - is the highest grade you can receive on an assignment, and it's between 90% and 100% ... D - this is still a passing grade, and it's between 59% and 69% F - that pretty much a failing grade.

A ball is thrown from an initial height of 4 feet with an initial upward velocity of 23 f/s. The ball's height h (in feet) after t seconds is given by the following. Find all values of t for which the ball's height is 12 feet.

### Answers

**Answer:**

Time taken = 0.85 and 0.59 (Approx.)

**Step-by-step explanation:**

Given:

Initial height = 4 feet

Initial upward velocity = 23 f/s

Equation;

h = 4 + 23t - 16t² for h = 12 feet

Find:

Time taken

Computation:

h = 4 + 23t - 16t² for h = 12 feet

12 = 4 + 23t - 16t²

16t² -23t + 8 = 0

t = [-b±√b²-4ac] / 2a

t = [23±√23²-(4)(16)(8)] / 2(16)

t = [23±√529-512] / 32

t = [23±4.12]/32

**Time taken = 0.85 and 0.59 (Approx.)**

A group of three people are selected at random, what is the probability that all the three people have different birthdays.

### Answers

**Answer:**

1:1

**Step-by-step explanation:**

this is because they are selected at random 3/3=1

What is the perimeter of ABC?

Perimeter = ___ units.

### Answers

**Answer:**

12 units

**Step-by-step explanation:**

From the given figure,

AB=4 units & BC=3 units

By Pythagoras Theorem, [tex]AC^{2} = AB^{2} + BC^{2}[/tex]

Here, [tex]AC^{2} = 4^{2} + 3^{2}[/tex]

Thus, AC=5 units

Now, perimeter of triangle is equal to the sum of all sides.

Perimeter = AB + BC + AC = 4 + 3 + 5 = 12 units

NEED ASAP! What is m

### Answers

**Answer:**

B = 31.6

**Step-by-step explanation:**

Since this is a right triangle, we can use trig functions

tan B = opp / adj

tan B = 28.2 / 45.8

taking the inverse tan of each side

tan ^ -1 ( tan B) = tan ^-1 (28.2/45.8)

B =31.62145

Rounding to the nearest tenth

B = 31.6

Given the expenses below, what is the yearly total of estimated expenses? Rent: $1,380 per month; Transportation: $405 per month; Clothing: $643 per year, Food: $65 per

week; Savings: $90 per week; Utilities: $395 per month; Recreation/Entertainment: $80 per week

$34,876

$35,457

$36,995

$39,023

None of these choices are correct.

### Answers

**Answer:35457$**

**Step-by-step explanation:**

qowiufrasjofjoqjOASIEJKDJF

IOVAJ

Which one is the pair of vertical angles?

### Answers

**Answer:**

b. angle 1 and angle 4 are vertical angles

What is the value of the expression?

-16+ 12

(A)-28

(B)-4

(C)4

(D)28

### Answers

Answer:

-16+12= -4

Step-by-step explanation:

When we mins 12 from 16 (16-12) we get 4.

Similarly. When we minus 16 from 12 (12-16) we get -4 because we choose the sign with the greater number.

What is the area of the regular hexagon shown below?

Answer in complete sentences and include all relevant calculations.

### Answers

**Answer:**

**6381.4 cm²**

**Step-by-step explanation:**

Applying,

A = n/2(a×h)................ Equation 1

Where A = Area of the regular polygon, n = number of sides of the polygon, a = length of one side of the polygon, h = length of the apothem

But,

a = 2htan∅.............. Equation 2

Where ∅ = angle substands at the center by the regular polygon.

∅ = 360/n.................... Equation 3

Substitute equation 3 into equation 2

a = 2htan(360/n)........... Equation 4

Substitute equation 4 into equation 1

A = n/2[2htan(360/n)×h).............. Equation 5

From the question,

Given: n = 6 side, h = 24.78 cm

Substitute these values into equation 5

A = 6/2[24.78×24.78×2×tan(360/6)]

A = 3[24.78×(24.78×2×tan60°)]

A = 6381.4 cm²

What is the solution set of x^2+5x1=0?

### Answers

**Answer:**

[tex]x=\sqrt{5}i,\:x=-\sqrt{5}i[/tex]

factorize 16a4+4a2b2+b4

### Answers

**Answer:**

16a^4 + 4a^2* b^2 + b^4

4a^2 ( 4a^2+b^2)+b^4

4a^2 (2a+b+b)^2 +(b^2)^2

4a^2 ( 2a+b+b^2)^2-4ab^2

4a^2-4ab^2(2a+b+b^2)

4a(a-b^2) (2a+b+b^2)

Which of the following changes would double the force between two charged particles?

A. Doubling the amount of charge on each particle

B. Increasing the distance between the particles by a factor of 2

C. Decreasing the distance between the particles by a factor of 2

D. Doubling the amount of charge on one of the particles

### Answers

**Answer:**

D. Doubling the amount of charge on one of the particles

**Step-by-step explanation:**

**Force between charged particles:**

The force between two charged particles is given by:

[tex]F = \frac{kq_1q_2}{r^2}[/tex]

In which k is the coulomb constant, [tex]q_1[/tex] and [tex]q_2[/tex] are the charges and r is the distance between them.

**Which of the following changes would double the force between two charged particles? **

Doubling the amount of force on both particles quadriplies, as does decreasing the distance between the particles by a factor of 2(we would have a division by 1/4 which is the same as a multiplication by 4).

Increasing the distance would decrease the force.

So the correct** option is D, **one of the particles' charges being multiplied by 2 means that the equation for F is multiplied by 2, and thus, the force is doubled.

If f(x) = 2x2 + 2 and g(x) = x2 - 1, find (f - g)(x)I

A. 3x2 + 1

B. x + 1

C. x2 + 3

D. 3x2 + 3

### Answers

9514 1404 393

**Answer:**

C. x^2 + 3

**Step-by-step explanation:**

Substitute for f(x) and g(x) and simplify.

(f -g)(x) = f(x) -g(x)

(f -g)(x) = (2x^2 +2) -(x^2 -1) = 2x^2 +2 -x^2 +1

** (f -g)(x) = x^2 +3**

e these word problems. Check your answers.

A man had paid $175.50 in interest at the end of three years. How much had he borrowed at 9% per year?

(The problem gives you the interest, rate, and time. You need to find the principal.)

### Answers

**Answer:47.38**

**Step-by-step explanation:175.50/100 x27**

**im not that sure **

TRICK QUESTION BE CAREFUL

### Answers

Answer:

Just a guess, 65?

Step-by-step explanation:

This looks fun. I shall try it.

63-17 = 46

46 + 19 = 65.

solve for system of equations -x+2y=8, x-2y=-8

### Answers

**Answer:**

0.. everything just cancels out

ALMN is a right triangle.

### Answers

**Answer:**

this is true since a right triangle has one side that is 90 degrees

Hope This Helps!!!

Solve for 2. Round to the nearest tenth, if necessary,

С

2.5

41

### Answers

**Answer:**

3.8

**Step-by-step explanation:**

We can use sohcahtoa to solve this. First, we know that this triangle is a right triangle, as well as one angle and the opposite side to that angle. We are trying to find the hypotenuse.

Therefore, as sin takes opposite and hypotenuse into account, we can use that to get that sin(41°) = 2.5/x . Multiply both sides by x and divide both sides by sin(41°) to get x = 2.5/sin(41°) =3.8

y - 4x = -2

2y - 8x = -4

### Answers

**Answer:**

Using substitution method

First make y in equation 1 the subject of formula

Y=4x-2

Sub in equation 2

2(4x-2)-8x=4

8x-4-8=4

8x=4+12

8x=16

X=2

Sub in any of equation to get y

**Step-by-step explanation:**

Y =4(2)-2=6

**Answer:**

(x, -2+4x)

**Step-by-step explanation:**

See The image below:)

Write the equation of the line that passes through the points (-5, -7) and

(-3,3). Put your answer in fully reduced point-slope form, unless it is a

vertical or horizontal line.

### Answers

**Answer:**

f(x)=5x+3

**Step-by-step explanation:**

The slop is 5 and the y intercept is 3

So if you put that in an equation it makes 5x+3

I used the slope formula to find the slope

Subtract the y values over x values

Which of the following segments is a diameter of OO?

### Answers

**Answer:**

A BD

**Step-by-step explanation:**

A diameter has to go through the center and reach the outside of the circle on both ends.

BOD is a diameter

We can call it

DB

21× 1 2/14. step by step explanation pls!

### Answers

**Answer:**

18

**Step-by-step explanation:**

21 = 3 x 7

12 = 2 x 6

4 = 2 x 7

( 21 x 12 ) / 14

= ( 3 x 7 x 2 x 6 ) / ( 2 x 7 )

= 3 x 6

= 18

Answer:

18

Step-by-step explanation:

See image attached for guide

21 x 1 2/14

Make 1 2/14 an improper fraction, add the denominator 1 under 21:

21/1 x 16/14

Multiply numerator x numerator, do the same for denominator:

21 x 16= 336

1 x 14 = 14

336/14

Simplify:

336/14 = 24

Hope this helps

What is 0.851 rounded to the nearest hundredth?

### Answers

**Answer: 0.85 hope this helps**

**Step-by-step explanation: plz mark brainlest **