Factor completely. 10x^3 + 2x^2 + 5x + 1

Answer:

The below is the first of paragraph in the question which is missing:

Suppose that 10 years ago you bought a home for $150,000, paying 10% as a down payment, and financing the rest at 8% interest for 30 years.

$22,319.00

Step-by-step explanation:

In order to determine the portion of the original loan that has been paid off,we need to ascertain the original loan amount as below:

loan amount=purchase price of the home-down payment

purchase price  is $150,000

down-payment =10%*$150,000=$15,000

loan amount=$150,000-$15,000=$135,000

If the loan amount has reduced to $112,681,hence the loan amount paid off is the difference between the original loan amount and the balance now:

original loan paid off=$135,000-$112,681=$22,319.00  

Answer:

a= 55.5

b= 45

hope it is helpful for u

Answer:

Small scooters = 6

Large scooters = 4

Step-by-step explanation:

Let S represents small scooter and L represents large scooter

The cost of a small scooter is £80

Mathematically,  the cost of S number of small scooters is

80S

The cost of a large scooter is £130

Mathematically,  the cost of L number of large scooters is

130L

The total amount spent on both scooters is £1000

Mathematically,

80S + 130L = 1000

So we have 2 unknowns and only 1 equation. Therefore, we have use trial and error method .

Trial and Error Method:

80S + 130L = 1000

80S = 1000 - 130L

S = (1000 - 130L)/80

Let’s suppose they bought 1 large scooter

S = (1000 - 130(1))/80

S = 10.875

Number of scooters cannot be in fraction so 1 doesn’t work

Let’s suppose they bought 2 large scooter s

S = (1000 - 130(2))/80

S = 9.25

Number of scooters cannot be in fraction so 2 doesn’t work

Let’s suppose they bought 3 large scooter s

S = (1000 - 130(3))/80

S = 7.625

Number of scooters cannot be in fraction so 3 doesn’t work

Let’s suppose they bought 4 large scooters

S = (1000 - 130(4))/80

S = 6

So that means they bought 6 small scooters and 4 large scooters.

Similarly, other combinations for scooters don’t work since they yield either fractional value or negative value which cannot be correct.

Therefore, the only possible combination of small and large scooters is

6 Small scooters

4 Large scooters

Verification:

80S + 130L = 1000

80(6) + 130(4) = 1000

480 + 520 = 1000

1000 = 1000 (satisfied)

Answer:

cosθ= [tex] \frac{ \sqrt{15} }{8} [/tex]

Step-by-step explanation:

Please see attached picture for full solution.

In the 4th quadrant, the cosine of an angle is positive.

The opposite side takes the negative sign in -⅞ since it is below the x-axis. Likewise, we reject [tex]x = - \sqrt{15} [/tex] since x lies on the right side of the y axis.

Answer:

Think about a dice. When a dice is rolled there are 6 possible outcomes: 1, 2, 3, 4, 5 and 6. To find the probability of the event of rolling a 4, find the number of possible ways of rolling a 4 and divide it by the total number of possible outcomes.

There is one way of rolling a 4 and there are six possible outcomes, so the probability of rolling a 4 on a dice is . This is called the ‘theoretical probability’ - in theory, if you roll a dice six times then you should roll a 4 once.

I think this will help

Step-by-step explanation:

Answer: the answer is 5/8.

Step-by-step explanation:

Answer:

A. 24°

Step-by-step explanation:

ABC is 85° which is the whole angle. DBC is a part of ABC and is 61°. If we do 85-61=24. The answer would be 24°.

PLZ MARK BRAINLIEST!!!

If m ∠ABC=85° and m ∠DBC=61° then m  angle ABD=24°. Hence the option A is correct.

An angle is the figure formed by two sides of a figure ,  sharing a common endpoint, called the vertex of the angle.

From the given figure we can conclude that ∠ABD=∠ABC-∠DBC.

We have been given that m ∠ABC=85° and m ∠DBC=61°

∠ABC=85/m and ∠DBC=61/m

Put in the above equation

∠ABD=∠ABC-∠DBC

∠ABD=85/m-61/m

=24/m

we have been find m ∠ABD so we have to multiply 24/m by m is 24°.

Hence the value of m angle ABD=24 degrees.

Learn more about angles at https://brainly.com/question/25716982

#SPJ2

Answer:

Hello! I think x= 1.6 or 1.3 in this situation

Step-by-step explanation:

The fact that the number 7 on the left quadrilateral is 6.3, and the 4's are 3.6, I have come to the conclusion that x equals either 1.6 or 1.3.

Answer:

Angle B = 51.06 degrees

Step-by-step explanation:

arcsin(7/9)=Angle B

Therefore, Angle B = 51.06 degrees

Answer:

$250 + $23x

Step-by-step explanation:

One time set-up fee for jerseys = $250

cost of one jersey = $23

therefore, cost x jersey = cost of one jersey*x = 23x

Total cost for this deal will be sum of  One time set-up fee for jerseys and cost x jersey

Total cost = One time set-up fee for jerseys + cost x jersey

Total cost =  $250 + $23x

Expression represents the total cost of x number of jerseys for the team is  $250 + $23x.

Answer: Choice B.

Step-by-step explanation:

Censuses are complete data collections of every member of a population.

For example, the U.S. Census occurs every 10 years and documents every member of the American population.

Choice A only surveys the first ten students; this is not a complete census.

Choice B surveys all the students in the targeted data group. This is a census.

Choice C only surveys the male students, even though there are female students in his data group. This is not a census.

Choice D only surveys the girls on the soccer team, even though there may be boys on the team as well. This is not a census.

Choice E only surveys his friends in the chorus, even though there may have been people that were not his close friends. This is not a census.

Only choice B is a complete census.

Answer:

choice B

Step-by-step explanation:

because choice b is the only complete census  

Answer:

0 < x < 50

Step-by-step explanation:

We start out with a square (which IS a rhombus for all sides are equal in

length. That's when the diagonals are equal in length, which, by the

Pythagorean theorem equal to

5*√2

C^2=a^2+b^2

=25^2+25^2

Factorise

c^2=25^2 × 2

c=square root of 25^2 × 2

That is

c=√25^2 × 2

=5×√2

As we decrease the angle on the bottom left and increase the angle on

the bottom right, the green diagonal increases to 25+25 or 50, but never gets to 50. The red diagonal shrinks to 0 but never gets to 0.

the lengths of a diagonal can only be in the open interval from 0 to 50. In interval notation that is (0,50) or 0 < x < 50.

Answer:

Minimum value: 0, Maximum value: 50

Step-by-step explanation:

A rhombus is a quadrilateral with side of same length but different angle pairs. Let consider the following rhombus (See attachment). It is known that sum of all angles in quadrilateral is equal to 360°. The length of each diagonal is, respectively:

[tex]d_{1} = 2\cdot l\cdot \sin 0.5\alpha[/tex]

[tex]d_{2} = 2\cdot l \cdot \sin (90-0.5\alpha)[/tex]

[tex]d_{2} = 2\cdot l \cdot (\sin 90^{\circ}\cdot \cos 0.5\alpha - \cos 90 \cdot \sin 0.5\alpha)[/tex]

[tex]d_{2} = 2\cdot l \cdot \cos 0.5\alpha[/tex]

Each expression shows that value of a diagonal changes at the expense of the other one inasmuch angle changes. The minimum and maximum values of any of the diagonal occur when trigonometric functions are equal to 0 and 1, respectively.

Minimum value: [tex]d_{min} = 0[/tex], Maximum value: [tex]d_{max} = 2\cdot l = 2 \cdot (25) = 50[/tex]

Answer:

its D

Step-by-step explanation:

on edge

Answer:

Base = 13in

Height = 17in

Step-by-step explanation:

Step-by-step explanation:

height of a parallelogram = 4 times more than it’s base

Let height = H

Base = B

H = 4 + B

area of the parallelogram = 221 in²

area of the parallelogram = base × height

221 = B × H = B × (4+B)

221 = 4B + B²

B² + 4B - 221 = 0

Using almighty formula to find B

See attachment for explanation

From the calculation:

Since the dimension of the parallelogram can't be negative, B = 13in

Height = B + 4 = 13+4

Height = 17in

Answer:

Base = 13 inches

Height = 17 inches

Step-by-step explanation:

The formula to find the area of a parallelogram = Base × Height

Let's represent Base = B

Height = H

From the question, the height is 4 times more than the Base

Height(H) = B + 4

Area = 221 square inches

Therefore, area of a parallelogram = Base × Height

221 sq in = B ×( B+4)

221 sq in = B² + 4B

B² + 4B - 221 = 0

We would solve the quadratic equation using factorisation method. Hence,

B² + 17B - 13B - 221 = 0

(B²+ 17B) - (13B - 221) = 0

B(B + 17) - 13(B + 17) = 0

(B + 17) (B - 13) = 0

B + 17 = 0

B = - 17

Or

B - 13 = 0

B = 13.

From the above calculation, since B = Base

B = -17 inches Or 13 inches

The base of a parallelogram cannot be negative, hence , The Base of the Parallelogram = 13 inches.

We are told that the height of the Parallelogram is 4 times more than the Base. This was represented but the equation

B + 4 = H

Since B = 13 :

13 + 4 = H

Height(H) = 17 inches.

Therefore, The base of the Parallelogram is 13 inches while the height of the Parallelogram is 17 inches.

Answer:

8x-4

Step-by-step explanation:

3x-3+x+1+?=12x-6

4x-2+?=12x-6

4x+?=12x-4

?=8x-4

Therefore, 8x-4

Answer:

Uranus is approximately 5 times farther from the sun than Saturn. The smallest zero is x = -10 as its the left-most value on a number line.

Step-by-step explanation:

Saturn:8.867 x 108 = 957. 636

Uranus: 1.787 x 109 = 194.783

b. 2 times

Answer:

a =  0.2 times

Answer:

t1 = 14  d= -2

Step-by-step explanation:

tn = t1 + d ( n-1)

t6 = t1 + d(6-1)

4 = t1+ 5d

t10 = t1 +d (10-1)

-4 = t1 +d9

Take the two equations and subtract to eliminate a1

4 = t1+ 5d

- (-4 = t1 +d9)

-------------------------

4 = t1+ 5d

+4 =- t1 -d9

-------------------------

8  =   -4d

Divide each side by -4

8/-4 = -4d/-4

-2 =d

Now we can find t1

4 = t1+ 5d

4 = t1 + 5(-2)

4 = t1 -10

Add 10 to each side

4+10 = t1

14 = t1

Answer:

A

Step-by-step explanation:

t1 = a

tn = a + (n-1)d

t6 = a + 5d = 4

a = 4 - 5d

t10 = a + 9d = -4

4 - 5d + 9d = -4

-8 = 4d

d = -2

a = 4 - 5(-2)

= 4 + 10

= 14

Answer:

20,000 is the length of the book with 20,000 pages.

Answer:

Step-by-step explanation:

(sin5-sin15+sin25-sin 35)/(cos 5-cos 15+cos 25 +cos 35)[tex]=\frac{-(sin 35-sin 5)+(sin 25-sin 15)}{(cos 35+cos 5)-(cos 25+cos 15)} \\[/tex]

[tex]=\frac{-2 cos \frac{35+5}{2}sin \frac{35-5}{2}+2 cos \frac{25+15}{2} sin \frac{25-15}{2} }{2cos \frac{35+5}{2}cos \frac{35-5}{2}-2cos \frac{25+15}{2} cos \frac{25-15}{2} }[/tex]

[tex]=\frac{-cos 20 sin 15+cos 20 sin 5}{cos 20 cos 15-cos 20 cos 5} \\[/tex]

[tex]=\frac{- cos 20(sin 15-sin 5)}{cos 20(cos 15-cos 5)}[/tex]

[tex]=\frac{-(sin 15-sin 5)}{cos 15-cos 5)} \\=\frac{-2cos \frac{15+5}{2}sin \frac{15-5}{2} }{-2 sin \frac{15+5}{2}sin \frac{15-5}{2} } } }[/tex]

[tex]=\frac{cos 10 sin 5}{sin 10 sin 5}[/tex]

[tex]=\frac{cos 10}{sin 10}[/tex]

=cot 10

Answer: To find the missing length= WX= √9^2+12^2

WX= 15

Step-by-step explanation:

Answer:

 1.041.

Step-by-step explanation:

4.1 % = 4.1 / 100 = 0.041 as a decimal fraction.

So ehen we increase a quantity by 4.1% we multiply by  1.041.

Answer:3,969[tex]^{2}[/tex](squared) or 63

Step-by-step explanation:

First you must plug the answers into the equation A[tex]^{2}[/tex] + B[tex]^{2}[/tex]=C[tex]^{2}[/tex]

Then you square the numbers. example: 2[tex]^{2}[/tex]=2 x 2=4

After that you subtract from both sides of the equation to get the variable by itself.     Example:   4+b[tex]^{2}[/tex]=10    

                              -4       -4

                                 b[tex]^{2}[/tex]=10

After that you square both sides or you could say answer[tex]^{2}[/tex]

Answer:

M = 29

27.31838095 = n

16.8511209 = p

Step-by-step explanation:

M = 180 -33-118 = 29

We can use the rule of sines

sin A          sin B           sin C

------------ = ---------- = ------------

a                  b               c

sin 118          sin 29        

------------ = ----------

n                  15              

Using cross products

15 sin 118 = n sin 29

Divide by sin 29

15 sin 118 / sin 29 = n

27.31838095 = n

sin 33          sin 29        

------------ = ----------

p                  15              

Using cross products

15 sin 33 = p sin 29

Divide by sin 29

15 sin 33 / sin 29 = p

16.8511209 = p

Answer:

54%

Step-by-step explanation:

For this case you can solve the problem by applying a simple rule of three in which we have

 520 ---> 100%

 800 ---> x

 Clearing x we have

 x = (800/520) * 100 = 154%

 the percentage increase in cost was

 154-100 = 54%

 answer

 the percentage increase in cost was 54%

Answer:

28 rabbits

Step-by-step explanation:

From the statement, you can write the following:

d+c+r= 126

d=dogs

c= cats

r= rabits

Then, you have that there are 13 cats and that three fourths of the remaining animals are dogs:

c=13

d=(126-13)*(3/4)= 113*(3/4)= 85

Now, you can isolate r, to find the number of rabbits:

r=126-d-c

r= 126-85-13

r= 28

According to this, the are 28 rabbits.

Answer:

pppoooooiiinnttssss

Step-by-step explanation:

Answer:

|-3| - |6| = 9

| 6 - -3| = | 6+3| = 9

Step-by-step explanation:

The distance between points is given by

d = sqrt( (x2 -x1) ^2 + (y2-y1) ^2 )

Since the y coordinates are the same

d = sqrt( (x2 -x1) ^2  )

d = sqrt( x2-x1)^2)

Or the distance between the two points

The distance between them is 9 units

|-3| - |6| = 9

| 6 - -3| = | 6+3| = 9

1250mph you'd tear through the crust of the earth and create a supervolcano to end all of us.

Step-by-step explanation:

Never fall that fast when parachuting, only you can prevent supervolcanoes.