Factor the following expression completely.
16x^5– x^3
A. (4x^3 – x^2)^2
B. x^3(4x – 1)^2
C. x^3(16x^2 – x)
D. x^3(4x – 1)(4x + 1)

Answer:

34.3 in, 36.3 in

Step-by-step explanation:

From the question given above, the following data were obtained:

Hypothenus = 50 in

1st leg (L₁) = L

2nd leg (L₂) = 2 + L

Thus, we can obtain the value of L by using the pythagoras theory as follow:

Hypo² = L₁² + L₂²

50² = L² + (2 + L)²

2500 = L² + 4 + 4L + L²

2500 = 2L² + 4L + 4

Rearrange

2L² + 4L + 4 – 2500 = 0

2L² + 4L – 2496 = 0

Coefficient of L² (a) = 2

Coefficient of L (n) = 4

Constant (c) = –2496

L = –b ± √(b² – 4ac) / 2a

L = –4 ± √(4² – 4 × 2 × –2496) / 2 × 2

L = –4 ± √(16 + 19968) / 4

L = –4 ± √(19984) / 4

L = –4 ± 141.36 / 4

L = –4 + 141.36 / 4 or –4 – 141.36 / 4

L = 137.36/ 4 or –145.36 / 4

L = 34.3 or –36.3

Since measurement can not be negative, the value of L is 34.3 in

Finally, we shall determine the lengths of the legs of the right triangle. This is illustrated below:

1st leg (L₁) = L

L = 34.4

1st leg (L₁) = 34.3 in

2nd leg (L₂) = 2 + L

L = 34.4

2nd leg (L₂) = 2 + 34.3

2nd leg (L₂) = 36.3 in

Therefore, the lengths of the legs of the right triangle are 34.3 in, 36.3 in

Answer:

1,000,000,000

Step-by-step explanation:

Answer:

1000000000

Step-by-step explanation:

Literally just 1 with 9 0's behind.

Answer:

4

Step-by-step explanation:  5 22 8 18 e

Graph the function and look for sign changes in the slope  (easiest)

  of the 7 roots 3 are real and 4 are complex

or the perferred way is to apply Descartes rule of signs

x^7-3x^5+4x^2-1=0        a typo in your function  attached photos shows 4x²

(x^7) - (3x^5) +(4x^2) - (1)     sign changes I see 3

then to find a bound on the number of negative roots

(-x^7) - (-3x^5) +(4x^2) - (1)    = -x^7 + 3x^5 + 4x^2 - 1     I see 2 sign changes ??

there is at least 1 real root (due the odd highest power)

and either 0, 2, 4 or 6 complex roots

so 5 and 7 are out

still confused I used a polynomials root calculator

it said ther are three real roots  (confirmed by the graph of the function)

  and four comple roots (which I can't figure out from the graph)

Answer:

radius = 14.5 feet

Step-by-step explanation:

91.06 / 3.14 = diameter = 29

radius = 29/2 = 14.5 feet

Answer:

C-:

Mr. Stonecrop, like a mountain, is intimidating and strongly holds his position against the people of Malaga Island.

Step-by-step explanation:

Answer:

B- "Mr. Stonecrop, like a mountain, is intimidating and strongly holds his position against the people of Malaga Island."

Step-by-step explanation:

got it on Edge

Answer: should be 1/16 ?

Step-by-step explanation:

Answer:

[tex] (\frac{1}{2} ) {}^{4} = \frac{1}{ {2}^{4} } = \frac{1}{16} [/tex]

is a required answer.

Answer:

Solution given

:total n[U]=590

customers using coupon n[C]=177

the percentage of all customers who often use coupons=177/590×100%=30%.

If n[U]=5000

no of customer using coupon be x

we have

30% of 5000=x

x=30/100×5000

x=1500

Answer: 7 days

Step-by-step explanation: if he can make 12 liters in 6 days then you can divide 12 by 6 to know he can make 2 liters in 1 day. If he only needs 2 more liters, he only needs one more day and he has already spent 6 days and adding the one extra day, it would be 7 days

Answer:

[tex]\%Guitar = 33 \%[/tex]

Step-by-step explanation:

Given

The two-way table

Required

Percentage of men and women whose favorite is Guitar

From the table, we have:

[tex]Total = 200[/tex]

Those who prefer Guitar

[tex]Men=29[/tex]

[tex]Women = 37[/tex]

So:

[tex]Guitar = 29 +37 = 66[/tex]

So, the percentage of men and women is:

[tex]\%Guitar = \frac{Guitar}{Total} * 100\%[/tex]

[tex]\%Guitar = \frac{66}{200} * 100\%[/tex]

[tex]\%Guitar = \frac{6600}{200} \%[/tex]

[tex]\%Guitar = 33 \%[/tex]

Answer:

A. 5.8

Step-by-step explanation:

From the given graph d has two coordinates;

the first coordinates of d = (0, 0)

the second coordinate of d = (-3 , -5), that is x = -3 when traced up and y = -5 when traced horizontal

The distance between the two coordinates = distance of d;

[tex]distance \ between \ two \ coordinates = \sqrt{(x_2-x_1)^2 \ + \ (y_2-y_1)^2} \\\\d = \sqrt{(-3-0)^2 \ + \ (-5-0)^2}\\\\d = \sqrt{9 \ + \ 25} \\\\d = \sqrt{34} \\\\d = 5.83\\\\d = 5.8[/tex]

Option A is correct

Answer:

We can conclude that there is significant evidence that the drug improves short term memory.

Step-by-step explanation:

Given the sample data : 8, 9, 10, 6, 8, 7, 9, 7.

The sample mean, xbar = Σx / n

Sample standard deviation :

√Σ(x - xbar)²/ n-1)

Xbar = 8

Sample size, n = 8

Standard deviation, s = 1.31

H0 : μ = 6

H0 : μ > 6

The test statistic :

(xbar - μ) ÷ (s/√(n))

(8 - 6) / (1.31 / √8)

2 /0.4631549

Test statistic = 4.318

Decision region :

Reject H0 ; if Pvalue < α

α = 0.05

Pvalue from Tscore calculator :

df = n - 1 ; 8 - 1 =7

Pvalue(4.318, 7) = 0.001744

Pvalue < α ; We reject H0 ; and conclude that there is significant evidence that the drug improves short term memory.

Answer:

B.[tex]22^{\circ}[/tex]

Step-by-step explanation:

We are given that HMS is an isosceles triangle.

Angle M is the vertex angle.

[tex]m\angle M=(2x+6)^{\circ}[/tex]

[tex]m\angle H=(9x+7)^{\circ}[/tex]

[tex]\angle H=\angle S[/tex]

By definition of isosceles triangle

We have to find the measure of angle M.

[tex]\angle M+\angle H+\angle S=180^{\circ}[/tex]

By using sum of angles of triangle property

Substitute the values

[tex]2x+6+9x+7+9x+7=180[/tex]

[tex]20x+20=180[/tex]

[tex]20x=180-20[/tex]

[tex]20x=160[/tex]

[tex]x=\frac{160}{20}=8[/tex]

Using the value of x

[tex]m\angle M=2(8)+6[/tex]

[tex]m\angle M=22^{\circ}[/tex]

Hence, option B is correct.

Answer:

Step-by-step explanation:

Let's solve for a .

[tex]5a+6b=18[/tex]

Step 1: Add -6b to both sides.

[tex]5a+6b+−6b=18+−6b[/tex]

[tex]5a=−6b+18[/tex]

Step 2: Divide both sides by 5.

Let's solve for b.

[tex]5a+6b=18[/tex]

Step 1: Add -5a to both sides.

[tex]5a+6b+−5a=18+−5a[/tex]

[tex]6b=−5a+18[/tex]

Step 2: Divide both sides by 6.

Answer:

36

Step-by-step explanation:

Hope this helps u

Please mark as the brainliest

Thank You

Answer:

If y=−3,

then

4y/4+y

=4×(-3)/4+(-3)

= -12/1

= -12 ,,

Answer:

18 goes in the box (brainliest plz

Step-by-step explanation:

Answer:

4 x 2 x 1 = 28

Step-by-step explanation:

12

i hope this helped sorry if it's wrong but i wish you luck (i am not good with math)

Answer:

50 degree

Step-by-step explanation:

70+90+angle1=180

160+angle1=180

angle1=180-160

=20

angle1+angle2+angle3=180

20+90+angle3=180

110+angle3=180

angle3=180-110

angle3=70

angle 3-angle1=(70-20)degree

=50 degree

Answer:

We all have the same I ready's lol

Anyway, i did it and, The CORRECT answer is:

$4.95

Answer:

What's the "following answers"?

Step-by-step explanation:

You won't get a straight answer unless you attatch a picture  

1/2 + 1/3 would equal something around 0.8333...

Answer:

a. No

b. Yes

c. No

d. Yes

e. Yes

Step-by-step explanation:

3(x+2) simplified is equal to (3)x+(3)2 which is simplified to 3x+6.

a. 3x+2 is not the same as 3x+6 so it is false.

b. 3(2+x) is simplified to (3)2+3(x) which is simplified to 6+3x or 3x+6 which is equal to 3x+6 so it is true.

c. 3x+2x is simplified to 5x which is not equal to 3x+6 so it is false.

d. x+2x+2+4 is simplified to 3x+6 which is equal to 3x+6 so it is true.

e. x+x+x+1+1+1+1+1+1 is simplified to 3x+6 which is equal to 3x+6 so it is true.

If this answer has helped you please mark as brainliest

Answer:

[tex]x = 8.64^o[/tex]

Step-by-step explanation:

Given

The attached rectangle

Required

Find x

To do this, we make use of:

[tex]11x - 5 = 90[/tex] ---- angle at diagonal

Collect like terms

[tex]11x = 5 + 90[/tex]

[tex]11x = 95[/tex]

Solve for x

[tex]x = \frac{95}{11}[/tex]

[tex]x = 8.64^o[/tex] --- approximated

Answer:

15 games

Step-by-step explanation:

0.8 is 80% in a fraction form (80/100), g is the number of games played and 12 is the games won.

Answer:

9.931 years

Step-by-step explanation: