A library has 167 trees on their property, but they are having trouble growing grass so they need to pay to have trees cut down each year until the property has less than 50 trees. If they can pay to have only four trees cut down this year, but eight trees cut down every year after that, in how many years will they have less than 50 trees on their property?

Step-by-step explanation:

It is given that, an air conditioning system can circulate 320 cubic feet of air per minute. We need to find how many cubic yards of air can it circulate per minute?

1 yard = 3 foot

1 feet = (1/3) yard

320 feet = 106.66 yard

[tex]320\ \text{feet}^3=320\times( \dfrac{1}{3})^3\ \text{yard}^3\\\\=11.85\ \text{yard}^3[/tex]

So, it will circulate 11.85 cubic yard of air per minute.

Answer:

The midpoint is ( 1, -1.5)

Step-by-step explanation:

To find the midpoint

Add the x coordinates of the endpoints and divide by 2 to get the x coordinate of the midpoint

(5+-3)/2 = 2/2 = 1

Add the y coordinates of the endpoints and divide by 2 to get the y coordinate of the midpoint

(3+-6)/2 = -3/2 = -1.5

The midpoint is ( 1, -1.5)

Answer:

mid point = 1,  -1.5

Step-by-step explanation:

mid point between two points C(5, 3) and D(-3, -6)

M = (x1 + x2)/2  , (y1 + y2)/2

mid point = (5 + (-3)) / 2 ,  (3 + -6)/2

mid point = 2/2 , -3/2

mid point = 1,  -1.5

Answer:

The equation for the parabola that passes through the points (−1,8), (2,−4), and (−6,−12) is [tex]y = -x^{2}-3\cdot x +6[/tex].

Step-by-step explanation:

Let be (−1,8), (2,−4), and (−6,−12) points contained in a parabola, which is represented by a second-order polynomial. To determine the constant of the second-order polynomial, the following system of equations must be solved:

[tex]a - b+c = 8[/tex]

[tex]4\cdot a +2\cdot b +c = -4[/tex]

[tex]36\cdot a -6\cdot b +c = -12[/tex]

There are several methods for solving this: Equalization, Elimination, Substitution, Determinant and Matrix. The solution of this system is: [tex]a = -1[/tex], [tex]b = -3[/tex] and [tex]c = 6[/tex]. Hence, the equation for the parabola that passes through the points (−1,8), (2,−4), and (−6,−12) is [tex]y = -x^{2}-3\cdot x +6[/tex].

Answer:

C

Step-by-step explanation:

The river discharges 4 x 10^6 cubic feet of water into the Pacific Ocean each second.

There are 86,400 seconds in one day.

Amount of water discharges each day-

=4x10^6x86400

=345600000000

=3.456 x 10 ^11

Answer: C

Step-by-step explanation:

1) First multiply 4 * 10^6 = 4,000,000

Then multiply 4,000,000 by 86,400 = 3.456 * 10^11

Answer:

.6

...................

Answer: 6 : 10  or 3:5

Step-by-step explanation:

If they are 6 cats and 10 dogs then the ratio of cats to dogs it 6 to 10  or 6/10

Answer:

angle 3 is 33 degrees.

Step-by-step explanation:

complementary angle-adds up to 90 degrees

supplementary angle- adds up to 180 degrees.

if angle 1 is 123, then angle two is 180-123 degrees(57)

if angle two is 57 degrees, angle 3 is 90-57 degrees (33)

Answer:

Step-by-step explanation:

Since ∠1 and ∠2 are supplementary the sum of their angles is 180°

So to find ∠2 add ∠1 and ∠2 and equate them to 180° to solve for ∠2

So we have

∠1 + ∠2 = 180

∠2 = 180 - ∠1

From the question

m∠1 = 123°

So we have

∠2 = 180 - 123

∠2 = 57°

From the question , ∠2 is a complement of ∠3 the sum of their angles is 90°

That's

∠2 + ∠3 = 90

∠3 = 90 - ∠2

∠3 = 90 - 57

We have the final answer as

Hope this helps you

Answer:

AB and CD

Step-by-step explanation:

Given

Shape: Parallelogram

Parallel Side: AB and CD

Required

Determine the opposite sides

From the given parameters, we understand that:

AB is parallel to CD

Since they are parallel, then AB is opposite to CD

Hence, the opposite sides are AB and CD

the common denominator is 10 (between 5 and 2)

for each numerator:

we divide the common denominator with the denominator of each fraction and then multiply with the numerator of the fraction

first fraction's numerator:

10 (c.d.) : 5 (denominator) = 2

2 * 2 (numerator) = 4

second one:

10 (c.d.) : 2 (denominator) = 5

5 * 1 (numerator) = 5

The fractions are 4/10 and 5/10

Answer:

I can only answer the first one for now but the answer is x^2 - 6x + 9.

Step-by-step explanation:

f(x) = x^2 and g(x) = x - 3.

To find f(g(x))  we replace the x in f(x) by g(x).

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

= x^2 - 6x + 9.

Answer:

The distance from the ground to the top of the ladder = 18.7 feet

Step-by-step explanation:

The distance from the ground to the top of the ladder is 9 feet more than the distance from the building to the base of the ladder.

distance from the building to the base of the ladder.= X

The distance from the ground to the top of the ladder = 9+x

Solving the triangle using Pythagorean theorem

X² +(x+9)²= 21²

X² + x² + 18x +81= 441

2x² +18x -360 = 0

X² +9x -180 = 0

X= (-9-28.3)/2 or (-9+28.3)/2

Definitely x is going to be a positive number

So

X= (-9+28.3)/2

X=9.65 feet

The distance from the ground to the top of the ladder = 9+x

The distance from the ground to the top of the ladder = 9+9.65

The distance from the ground to the top of the ladder = 18.65

The distance from the ground to the top of the ladder = 18.7 feet

Building is 9.65 foot far from ladder.

Length of ladder = 21 foot. This diagonal ladder is Hypotenuse to the right angled triangle formed between building & ladder.

Let the distance from building to base of ladder = x. This is the base of right angled triangle.

So, distance from ground to top of ladder = x + 9. This is the height of right angled triangle.

As per Pythagorus Theorem,

[tex]Hypotenuse^2 = Base^2 + Height^2[/tex]

[tex]21^2 = x^2 + (x+9)^2[/tex]

441 = [tex]x^2 + x^2 + 81 + 18x[/tex]  

360 = [tex]2x^2 + 18x[/tex]

[tex]2x^2 + 18x[/tex] - 360 = 0

x = -b + [tex]\sqrt{b^2 - 4ac[/tex] / 2a  

x = 9.65 { Building distance to ladder base }

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Answer:

she can only get 1 servings

Answer:

1 cause 4/8 is a half  of the jug at it's full  brethall

so one 1/2

Answer:

14322 * 10¹²

1.4322 * 10¹⁶

Step-by-step explanation:

14322000000000000

14322 * 10¹²

1.4322 * 10¹⁶

Answer:

yes

Step-by-step explanation:

yes because if you do the math you and you use your brain it's obvious

Step-by-step explanation:

cause I know it

Answer:

x = -10

Step-by-step explanation:

62 = 12 - 5x

-12 .   -12

62 - 12 = -5x

50 = -5x

__ .  __

-5 .    -5

-10 = x    

Answer:

Step-by-step explanation:

We are presented with three items

two dices and a coin

The sample space for a dice is S=(1,2,3,4,5,6)

and the sample space for a coin is S=(head and tail)

In the options provided all are possible outcomes for the two dices and the coin except for options "C" ,and this is because "8" is not a sample space in a dice

Answer:

2,8 Heads

Step-by-step explanation:

A standard coin has two values, {Heads or Tails}, while a standard die has six values {1, 2, 3, 4, 5, or 6}.  So, obtaining a 2 is possible, however the 8 is not.

Answer:

-0.22222222222222222222222

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the f(x) = 12x as  the number of inches in x feet and g(x) = 3.28x gives the approximate number of feet in x meters, to find the composite function that can be used to convert metres to inches will give;

f[g(x)] (This means we are substituting the function that is measured in metres into the functions measured in inches).

Given g(x) = 3.28x,

f[g(x)] = f(3.28x)

f(3.28x) means that we are to replace the variable of x in f(x) with 3.28x as shown;

f(3.28x) = 12(3.28x)

f(3.28x) = 39.36x

f[g(x)] = 39.36x

Hence the composite function that could be used to convert meters to inches is expressed as 39.36x.

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Regression

Statistics

R Square 0.01104

Standard Error 4.02545

Observations 27

Stat - - - - Coef - - Std Error - - t-Stat - - P-value

Int. - - 88.4902 - 1.67814 - - 52.731 - - 0.0000

Price (–0.00239) - 0.00453 (–0.528) - - 0.6019

Stat - - - - lower 95% - - - upper 95%

Int. - - - - - 85.0340 - - - - - - 91.9464

Price - - (–0.01172) - - - - - - 0.00693

(A) No, At α = .05, the Coefficient of price is not significantly different from zero, because :

The p-value (0.6019) obtained is greater than 0.05, Hence we fail to reject the null hypothesis.

B) the correlation Coefficient (r) :

Since ; r^2 = 0.01104

r = √0.01104

r = 0.1050714

The p-value obtained at α = .05 for r value of 0.1051 using the online p-value calculator is .602, this shows that correlation does not differ from 0.

Using :

r(√n-2) / √1 - r^2

0.1051(√27-2) / √1 - 0.01104

0.5255 / 0.9944646

= 0.5284250

For a 2 tailed test: α = .025

t0. 025 = 2.060 and - 2.060

Obtained t value is less than the critical, hence the null hypothesis stands

Answer:

An algebraic expression (in mathematics) can be defined as an expression which is made up of variables and constants along with algebraic operations( i.e. addition, subtraction etc)

Answer:

It is an expression built up from integer constants and algebric expressions.

Answer:

Distance = [tex]\sqrt{113}[/tex]

Step-by-step explanation:

[tex](1, 5) = (x_1,y_1)\\ (-7, -2)=(x_2,y_2)\\\\d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\ \\d = \sqrt{(-7-1)^2+(-2-5)^2}\\ \\d = \sqrt{(-8)^2+(-7)^2}\\ \\d = \sqrt{64+49}\\ \\d = \sqrt{113} \\\\[/tex]

Answer:[tex]\sqrt{113}[/tex]

Step-by-step explanation:

Distance formula: [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

x1=1     x2=-7     y1=5     y2=-2

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

 [tex]\sqrt{(-7-1)^2+(-2-5)^2}[/tex]

=[tex]\sqrt{(-8)^2+(-7)^2}[/tex]

=[tex]\sqrt{64+49}[/tex]

=[tex]\sqrt{113}[/tex]

Hope this helps!! :)

Please let me know if you have any question or need further explanation

Answer:

3x-12 =7

Step-by-step explanation:

you distribute the 3 to the x and the -4

Answer:

Estas unidades de capacidad son de uso frecuente en la manipulación de líquidos, así como en la estimación de la masa contenida del líquido dentro del recipiente si se conoce su densidad.

Además, permite clasificar hasta cuanto volumen y cuanta masa de un líquido determinado puede portar ese recipiente.

Step-by-step explanation:

Sirve la estimación de la capacidad de un recipiente dado en función de otros recipientes con capacidades de referencia, en cuyos casos corresponden al litro y el mililitro, respectivamente. Entonces, la capacidad total es aproximadamente la suma de las cantidades de adiciones de cada recipiente de referencia. La fórmula de estimación de capacidad del recipiente es:

[tex]V_{tot} \approx n_{l}\cdot (1000\,mL)+n_{L}\cdot (1\,mL)[/tex]

Donde:

[tex]V_{tot}[/tex] - Volumen total del recipiente, medido en mililitros.

[tex]n_{l}[/tex] - Cantidad de adiciones del recipiente con capacidad de un mililitro, adimensional.

[tex]n_{L}[/tex] - Cantidad de adiciones del recipiente con capacidad de un mililitro, adimensional.

Estas unidades de capacidad son de uso frecuente en la manipulación de líquidos, así como en la estimación de la masa contenida del líquido dentro del recipiente si se conoce su densidad.

Además, permite clasificar hasta cuanto volumen y cuanta masa de un líquido determinado puede portar ese recipiente.

Step-by-step explanation:

17 miles = 1 day to work

14 miles =1 day to home

Therefore total miles driven in 5 days =

( 17×5) +(14×5) = 105+60

ANSWER =165 miles per week

Answer:

155 miles each week

Step-by-step explanation:

One day is 17 miles to and 14 miles home = 17+14 = 31

He does this 5 days a week

5 * 31 = 155 miles

Answer:

x + 4  < 12

Step-by-step explanation:

Given

sum of a number x and 4

It can be written mathematically as

x + 4

Then

x + 4 is less than 12

less than is represented as <

Thus,

x + 4  < 12

Thus, inequality is x + 4  < 12

Answer:

x=−4

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

Given:

Solving for x:

Answer:

the measure of x is 18° and the measure of y is 29°

Step-by-step explanation:

Step 1

Find the measure of angle x

we know that

If ray NP bisects <MNQ

then

m<MNQ=m<PNM+m<PNQ ------> equation A

and

m<PNM=m<PNQ -------> equation B

we have that

m<MNQ=(8x+12)°

m<PNQ=78°

so

substitute in equation A

(8x+12)=78+78-------> 8x+12=156------> 8x=156-12

8x=144------> x=18°

Step 2

Find the measure of angle y

we have

m<PNM=(3y-9)°

m<PNM=78°

so

3y-9=78------> 3y=87------> y=29°

therefore

the answer is

the measure of x is 18° and the measure of y is 29°

Answer:

O3(-8 + 1) = 3(-8) + 3(1)

Step-by-step explanation:

GOOD LUCK WITH BRAINLY I HOPE I HELPED :)

The expressions demonstrates the distributive property is

3(-8 + 1) = 3(-8)+ 3(1).

This property states that multiplying the total of two or more addends by a number will produce the same outcome as multiplying each addend by the number separately and then adding the results together.

We know the standard forms for distributive property as

For addition: a x (b+ c) = a x b + a x c

For Subtraction: ax (b- c)= a x b - a x c

1. 3+ 4+ 5 = 4 + 3 + 5 is Associative Property.

2. -2(5 + 7) = -2(7 +5) is Associative Property

3. 3(-8 + 1) = 3(-8)+ 3(1) is Distributive Property

Learn more about Distributive Property here:

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Answer:

p = 6

Step-by-step explanation:

-3p+6=-12

Subtract 6 from each side

-3p+6-6=-12-6

-3p = -18

Divide each side by -3

-3p/-3 = -18/-3

p = 6