Question 10 Multiple Choice Worth 1 points)
(4.04 MC)
Which of the following is a linear function?
A) y=3x^2
B) y=1 /3x
C) y=x^3 +5
D) 2/3x = y-1
Please helppp

Answer:

Last option

-10x³ + 2x - 8

is the answer

HOPE IT HELPS YOU

Answer:

SR = 22 cm

Step-by-step explanation:

area = bh/2

(21 cm)(h)/2 = 231 cm^2

21h = 462 cm

h = 22 cm

SR = 22 cm

Answer:

$21,616.26.

Step-by-step explanation:

24000 =P(1 + 0.03/4)^14

P = 24000 / (1 + 0.03/4)^14)

21,616.26.

=

The present value that will grow to ​$24000 if interest is 3​% compounded quarterly for 14 quarters is $21,482.40

To find the present value that will grow to $24,000 at 3% interest compounded quarterly for 14 quarters, we use the formula for compound interest:

[tex]PV = FV / (1 + r/n)^{(n*t)}[/tex]

Where:

PV = Present Value

FV = Future Value ($24,000)

r = Annual interest rate (3% or 0.03 as a decimal)

n = Number of compounding periods per year (quarterly, so n = 4)

t = Number of years (14 quarters = 14/4 = 3.5 years)

Substitute the values into the formula:

PV = [tex]$24,000 / (1 + 0.03/4)^{(4*3.5)}[/tex]

PV = [tex]$24,000 / (1 + 0.0075)^{(14)}[/tex]

PV = [tex]$24,000 / (1.0075)^{14}[/tex]

PV ≈ $21,482.40 (rounded to the nearest cent)

Therefore, the present value required for it to grow to $24,000 in 14 quarters at 3% interest compounded quarterly is approximately $21,482.40.

In this explanation, we used the formula for compound interest to calculate the present value (PV). The formula accounts for the future value (FV), the annual interest rate (r), the number of compounding periods per year (n), and the time in years (t). By plugging in the given values and performing the calculations, we arrived at the present value of approximately $21,482.40.

To know more about Present Value here

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Answer:

If the amount is P, with the interest rate of 12%, the interest over the year is:

In this case the quarterly interest rate is:

With the same amount and 3% quarterly rate, the yearly interest would be:

The quarterly interest rate in this case is:

If the quarterly interest rate is r, it should be little less than 3% to yield a 12% yearly rate.

So Kraig is wrong.

Answer:

A, B, B

Step-by-step explanation:

Answer:

the sum of total angles of triangle is 180°.

Answer:

1980

Step-by-step explanation:

13 sides

Number of sides n=13

The sum of interior angles of polygon =(2n−4)×90o

=(2×13−4)×90o

=(26−4)×90o

=22×90o

We get,

=1980

Answer:

AC² + BD² = 2[AB² + BC²]

Step-by-step explanation:

Let the parallelogram be ABCD with sides AB, BC, CD and AD. It also has diagonals AC and BD.

Since the diagonals are perpendicular and bisect each other at their mid-point, and P is the point of intersection of the diagonals, we have that AP = AC/2, PC = AC/2, PB = BD/2 and PD = BD/2.

Since APB forms a right angled triangles with length of sides AP, PB and AB where AB is the hypotenuse side, using Pythagoras' theorem, we have

AB² = AP² + PB²

Since AP = AC/2 and PB = BD/2, we have

AB² = (AC/2)² + (BD/2)²

AB² = AC²/4 + BD²/4   (1)

Also, BPC forms a right angled triangles with length of sides BP, PC and BC where BC is the hypotenuse side, using Pythagoras' theorem, we have

BC² = BP² + PC²

Since PC = AC/2 and PB = BD/2, we have

BC² = (AC/2)² + (BD/2)²

BC² = AC²/4 + BD²/4   (2)

Adding equations (1) and (2), we have

AB² = AC²/4 + BD²/4   (1)

+

BC² = AC²/4 + BD²/4   (2)

AB² + BC² = AC²/4 + BD²/4 +  AC²/4 + BD²/4

AB² + BC² = AC²/2 + BD²/2

Multiplying through by 2, we have

2[AB² + BC²] = AC² + BD²

So, AC² + BD² = 2[AB² + BC²]  which proves our expression.

Answer:

[tex]\displaystyle x=-\frac{1}{6}, 3[/tex]

Step-by-step explanation:

Hi there!

[tex]y = 6x^2 - 17x - 3[/tex]

Factor by grouping:

[tex]y = 6x^2 - 18x+1x - 3\\y = 6x(x- 3)+1x - 3\\y = 6x(x- 3)+(x - 3)\\y = (6x+1)(x- 3)[/tex]

Let y=0. Apply the zero product property:

[tex]0 = (6x+1)(x- 3)[/tex]

[tex]6x+1=0\\6x=-1\\\\\displaystyle x=-\frac{1}{6}[/tex]

AND

[tex]x-3=0\\x=3[/tex]

I hope this helps!

Answer:

6(4x + 2y)

Step-by-step explanation:

24x = 2 * 2 * 2 * 3 * x

18y = 2 * 3* 3 * y

Common factors = 2 * 3 = 6

24x + 18y = (6*4x) + (6*2y)   {6 is common in both terms}

               = 6*(4x + 2y)

Answer:

Step-by-step explanation:

x-2=0

x=2

f(2)=2³-2(2)²+2(2)+3=8-8+4+3=7≠0

so x-2 is not a factor of f(x).

Answer:

7238.23

Step-by-step explanation:

v=4/3πrcubed

solve it and get the answer

Answer:

281.25 cm^2

Step-by-step explanation:

Given that,

The scale factor of Two similar triangles = 5:2

Area of the smaller rectangle = 45 cm^2

To find,

The Area of the larger rectangle = ?

Procedure:

As we know, similar triangles have similar ratios of sides. Thus, this can be written in proportion with the sides' ratio to the left while ratio of areas on the right.

(5)^2/(2)^2 = a/45

∵ The area of the larger rectangle = 25/4 * 45

= 281.25 cm^2

Given:

The given geometric sequence is:

0.0625, 0.25, 1, ..., 4194304

To find:

The number of terms in the given geometric sequence.

Solution:

We have,

0.0625, 0.25, 1, ..., 4194304

Here, the first term is 0.0625 and the common ratio is:

[tex]r=\dfrac{0.25}{0.0625}[/tex]

[tex]r=4[/tex]

The nth term of a geometric sequence is:

[tex]a_n=ar^{n-1}[/tex]

Where, a is the first term and r is the common ratio.

Putting [tex]a_n=4194304, a=0.0625, r=4[/tex] in the above formula, we get

[tex]4194304=0.0625(4)^{n-1}[/tex]

[tex]\dfrac{4194304}{0.0625}=(4)^{n-1}[/tex]

[tex]67108864=(4)^{n-1}[/tex]

[tex]4^{13}=(4)^{n-1}[/tex]

On comparing both sides, we get

[tex]13=n-1[/tex]

[tex]13+1=n[/tex]

[tex]14=n[/tex]

Therefore, the number of terms in the given geometric sequence is 14.

Answer:

TRUE If substituting the test point produces a false solution, we shade on the opposite side of the line.

FALSE Elimination will give you an exact answer to a system of equations.

Step-by-step explanation:

Weird, I thought I already answer this xD

Answer:

answer is 10 (very easy)

Answer:

380. 1

Step-by-step explanation:

A=π r2=π. 11^2= 380.13271

Answer:

x = 12 m = 87

Step-by-step explanation:

x = Dave

(7x + 3) + x = 99

8x + 3 = 99

      -3     -3

8x = 96

----    ----

8       8

  x = 12

7(12) + 3

84 + 3

   87

Dave has 12 dollars, Martha has 87.

Answer:

3

Step-by-step explanation:

5×3=15 she would have 4 left but can't make a full star

Step-by-step explanation:

this is an example u can see and write it yourself...

Answer:

b is correct answer

Step-by-step explanation:

when we write logarithmic terms we change the result from number which is power of 3

Answer:

x= -1

Step-by-step explanation:

Since x= 5 is a vertical line, the unknown line would also be a vertical line with an equation of x=___ as they are parallel to each other.

Given that the line passes through (-1, 2), the equation of the line is x= -1.

Parallel lines have the same slope and will never meet.

Answer:

11 is the median of the entire data set

6 is the median of the lower half and 16 is the median of the upper half data scores...

Subtract 16 from 6 gives 10 so the answer is C) 10

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

Explanation:

The first step is to sort the data from smallest to largest. Luckily, that's already been done for us.

Next, we find the median. This is the middle most number of the set. In this case, the median is 11 since we have 3 values below it (2,6,7) and 3 values above it (15,16,17).

Let

L = {2,6,7}

U = {15,16,17}

where L and U are the lower and upper sets respectively.

In other words, anything in set L is lower than the median while anything in set U is above the median. The median itself (11) is not part of either set.

Notice how 6 is the midpoint of set L, while 16 is the midpoint of set U.

This means Q1 = 6 and Q3 = 16

Therefore,

IQR = Q3 - Q1

IQR = 16 - 6

IQR = 10

which is why choice C is the final answer.

Answer:

Height of the cone = 5 cm

Step-by-step explanation:

Volume of the rectangular prism with a cone shaped hole = Volume of the rectangular prism - Volume of the cone

Volume of the rectangular prism = Length × Width × Height

                                                       = 5 × 5 × 7

                                                       = 175 cm³

Volume of the cone = [tex]\frac{1}{3}\pi r^{2}h[/tex]

Here, r = Radius of the cone

h = Height of the cone

Volume of the cone = [tex]\frac{1}{3}\pi (\frac{3}{2})^{2}(h)[/tex]

                                 = 0.75πh cm³

Volume of the rectangular prism with a hole = 163.22 cm³

175 - 0.75πh = 163.22

0.75πh = 175 - 163.22

0.75πh = 11.78

h = 5 cm

Answer:

3rd option, 44 units

Step-by-step explanation:

3x-1 = 2x+2

or, x = 3

so each side, 3×3-1 = 8

4y-2 = 2y+6

or, y = 4

so each side, 4×4-2 = 14

so perimeter

= 2(8+14)

= 44 units

Answered by GAUTHMATH

Answer:

(x+2)2(x+1)(x+4)

Because

x=-4. x=2. x=-1

(x+4). (x+2). (x+1)

Answer:

The answer is 36°.

Hope it helps.

Step-by-step explanation:

• • •

The image of this question is missing and so i have attached it.

Answer:

dd/dt = 4.47 ft/s

Step-by-step explanation:

From the image attached, let's denote the following;

d = horizontal distance beneath pulley

h = height of pulley

l = diagonal from the pulley to the head of the person

v = velocity of rope rising

Using pythagoras theorem;

l² = d² + h²

Differentiating with respect to time and considering h = c^(te) gives;

2l(dl/dt) = 2d(dd/dt)

We are given;

d = 20 ft

h = 10 ft

v = 4 ft/s

We know that velocity in this case is change in diagonal distance with time. Thus;

v = dl/dt = 4 ft/s

From earlier, we saw that;

2l(dl/dt) = 2d(dd/dt)

Thus, reducing it gives

(dl/dt)(l/d) = dd/dt

Now, l² = d² + h²

l = √(d² + h²)

Also, v = dl/dt = 4

Thus;

4(√(d² + h²))/d = dd/dt

4(√(20² + 10²))/20 = dd/dt

dd/dt = 4.47 ft/s

Answer:

the first one

Step-by-step explanation:

[tex]x - 5 > - 10 \\ x > - 10 + 5 \\ x > - 5[/tex]