A line has a slope 2/3 and a y- intercept -2 witch answer is the equation of the line

Answer:

Answer:

3x + 3y = 0

7x - y = 8

Step-by-step explanation:

Answer:A

Step-by-step explanation:

Answer: y = 2x+8

Check out this graph I supplied you with!

Answer:

1)2205little cherries

2)0.5.

Step-by-step explanation:

1)7little=2big

?=630big

7×630=2205little cherries

2

2)²/5x=¹/10what is the value of 10x-2

first find the value of x that is ¹/10÷²/5=¼

so x is ¼

insert the value ie 10×¼-2

=2.5-2

=0.5

Answer: It Depends

Explanation: Generally, your answer would be no because if you have a repeating input, you usually have a different output for that specific repeating input which would not make it a function.

However, a function can have a repeating input if the same input is paired with the same output and this is listed twice so it's still a function since each input pairs with a unique output.

However, if the input appears more than once, you must check to see whether the output is the same or different.

Answer:

[tex] x = 5.1 yd [/tex]

Step-by-step Explanation:

Angle of depression is congruent to angle of elevation.

Therefore, angle of elevation of the given figure, which is opposite to x is 25°.

Adjacent length = 11 yd

Opposite length = x

Trigonometric ratio formula for finding x is shown below:

[tex] tan(25) = \frac{opposite}{adjacent} [/tex]

[tex] tan(25) = \frac{x}{11} [/tex]

Multiply both sides by 11 to solve for x

[tex] 11*tan(25) = x [/tex]

[tex] 5.129 = x [/tex]

[tex] x = 5.1 yd [/tex] (to the nearest tenth)

Answer and Step-by-step explanation:

According to the situation, The probabilities for each one is given below:

As there are 20 families

So the probabilities for each one is

For four families have one child is

[tex]= \frac{4}{20}\\\\ = \frac{1}{5}[/tex]

For eight families have two children is

[tex]= \frac{8}{20}\\\\ = \frac{2}{5}[/tex]

For five families have three children is

[tex]= \frac{5}{20}\\\\ = \frac{1}{4}[/tex]

For two families have four children is

[tex]= \frac{2}{20}\\\\ = \frac{1}{10}[/tex]

For one family have five children is

[tex]= \frac{1}{20}[/tex]

Answer:

Translate 3 units to the left

Step-by-step explanation:

Answer:

20°

Step-by-step explanation:

A= 360°- (160°+2*90°)= 20°

Answer: 20km/h

Step-by-step explanation:

20km/h.  Simply average 15 and 25 by doing (15+25)/2

Hope it helps <3

Answer:

(  3x -2)

Step-by-step explanation:

6x^2 – 7x + 2

We know that the constant only has factors of 1 and 2

Since the middle term is negative we know that that we are subtracting

A negative times a negative is positive for the final term

A negative plus a negative is negative for the middle term

(   -1 ) (   -2)

We have to determine how to break up 6x^2

1x * 6x

2x*3x

3x*2x

6x*1x

We are given that one factor is 2x-1

(  2x -1 ) (   -2)

That means the other factor of 6x^2 is 3x  ( 2x*3x)

(  2x -1 ) (  3x -2)

Answer:

3x-2

Step-by-step explanation:

Factors are:

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

Answer:

an = an-1 * -4

Step-by-step explanation:

First we need to find the common ratio

r = second term / first term

  = -2/ (1/2) = -4

The recursive formula is

an=an−1 * r

an = an-1 * -4

Answer:

bonds=22000

stock=4000

Step-by-step explanation:

let b  for bonds , and s for stock

b+s=26000

0.05 b +0.08 s=1420

to solve (by elimination)

1- multiply first equation with 0.05 to eliminate b

0.05 b+0.05 s=1300

0.05b+0.08s=1420

subtract two equations:

0.05b+0.05s-0.05b-0.08s=1300-1420

-0.03s=-120

s=120/0.03=4000

b+s=26000

b=26000-4000=22000

check:0.05(22000)+0.08(4000)=1420

Answer:

$22000

Step-by-step explanation:

x*0.05+(26000-x)*0.08= 1420

0.05x - 0.08x + 2080= 1420

0.03x=2080 -1420

0.03x= 660

x= 660/0.03

x= 22000

$22000 = 5% bonds

$4000 = 8% stocks

Answer:

The rectangles that have exactly 100 squares are 1 by 100  4 by 11 and 5 by 8

Step-by-step explanation:

The given parameters are;

A 2 by 3 rectangle contains 8 squares

A 3 by 4 rectangle contains 20 squares

A 4 by 6 rectangle contains 50 squares  

We note that the number of squares varies proportionately to the increase in the dimension of the rectangle, that is we have;

2 by  3 rectangle contains 8 squares

3 by 4 rectangle contains 20 squares increase by 12 = 3 × 4

4 by 5 rectangle contains 40 squares increase by 20 = 4 × 5

The number of squares formed can therefore be arranged in a matrix as follows(please see attached matrix);

Column,     1,       2,     3,      4,       5,     6,        7,       8,         9,           10,         11

Row

1

2

3

4

5

6

7

8

9

10

11

It will be observed that after reaching a point where the row and column are equal, (x, x) the rate of increase in the number of squares become constant and equal to x × ((x - 1) × 0.5) + 1) = x × (x + 1)/2

From the matrix, the rectangles that have exactly 100 squares are 1 by 100  4 by 11 and 5 by 8 and there are no more as presented in the attached matrix, the number of squares formed keeps increasing for each column and row added.

Answer:

Choice 3

Step-by-step explanation:

A(-5,-1) and B(4, 1)

Distance AB is calculated as x²+y², where x= 4-(-5)=9 and y= 1-(-1)=2

Point P is at 1/4 of distance from point A, so its coordinates will be at 1/4 of full distance from A to B in term of both coordinates:

So P= (-11/4, -1/2) and choice 3

Answer:

1:3

Step-by-step explanation:

Please study the diagram briefly to understand the concept.

First, we determine the height of the isosceles trapezoid using Pythagoras theorem.

[tex]4^2=2^2+h^2\\h^2=16-4\\h^2=12\\h=\sqrt{12}\\ h=2\sqrt{3}$ units[/tex]

The two parallel sides of the trapezoid are 8 Inits and 4 units respectively.

Area of a trapezoid [tex]=\dfrac12 (a+b)h[/tex]

Area of the trapezoid

[tex]=\dfrac12 (8+4)*2\sqrt{3}\\=12\sqrt{3}$ Square Units[/tex]

For an equilateral triangle of side length s.

Area  [tex]=\dfrac{\sqrt{3}}{4}s^2[/tex]

Side Length of the smaller triangle, s= 4 Units

Therefore:

Area of the smaller triangle

[tex]=\dfrac{\sqrt{3}}{4}*4^2\\=4\sqrt{3}$ Square units[/tex]

Therefore, the ratio of the area of the smaller triangle to the area of the trapezoid

[tex]=4\sqrt{3}:12\sqrt{3}\\$Divide both sides by 4\sqrt{3}\\=1:3[/tex]

Answer:

25

Step-by-step explanation:

angle JKM and Angle MKL are supplementary. means, they add to 90degree. So to fing the missing one, just do 90 - 65. you'll get 25.

The angle MKL is equal to 155 which corresponds to the value of x=155.

The angle equal to 90 degree is called right angle and the triangle in which one angle is equal to 90 is called right angled triangle.

In the figure we can see that the value of angle JKL is equal to 90, value of angle JKM is 65 and we have been given that angle MKL is equal to x.

From the figure we can see that,

MKL=JKL+JKM

=90+65

=155 degree

Hence the value of x is equal to 155 degree.

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Answer:

[tex]\boxed{Area = 3.14 ft^2}[/tex]

Step-by-step explanation:

Radius = r = 2 feet

Angle = θ = π/2 (In radians) = 1.57 radians

Area of Sector = [tex]\frac{1}{2} r^2 \theta[/tex]

Area = [tex]\frac{1}{2} (4)(1.57)[/tex]

Area = 2 * 1.57

Area = 3.14 ft²

Answer:

               [tex]\bold{2\pi\ ft^2\approx6,28\ ft^2}[/tex]

Step-by-step explanation:

360°:2 = 180° so the area of a sector bounded by a 180° arc is a half of area of a circle of the same radius.

[tex]A=\frac12\pi R^2=\frac12\pi\cdot2^2=\frac12\pi\cdot4=2\pi\ ft^2\approx2\cdot3,14=6,28\ ft^2[/tex]

Answer:

Add each given variable

(6x + 10) + (x + 2) + x = 8x + 12

The sum of all the angles equals 180ᴼ

8x + 12 = 180

Subtract 12 from both sides

8x = 168

Divide by 8 on both sides

x = 21

Now plug in 21 for each x to find the measure of each angle.

(6[21] + 10) = 126 + 10 = 136ᴼ

(21 + 2) = 23ᴼ

x = 21ᴼ

Answer:

We can prove that ΔTMB ≅ ΔTMD and ΔTMA ≅ ΔTMC by ASA. This means that BM = MD = BD / 2 = 8.5 and that AM = CM = 5 which means that CD = MD - CM = 8.5 - 5 = 3.5.

Answer:

The answer is given below

Step-by-step explanation:

a) What is the probability that a randomly selected pregnancy lasts less than 242 days

First we have to calculate the z score. The z score is used to determine the measure of standard deviation by which the raw score is above or below the mean. It is given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Given that Mean (μ) = 247 and standard deviation (σ) = 16 days. For x < 242 days,

[tex]z=\frac{x-\mu}{\sigma}=\frac{242-247}{16}=-0.31[/tex]

From the normal distribution table, P(x < 242) = P(z < -0.3125) = 0.3783

(b) Suppose a random sample of 17 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies.

If a sample of 17 pregnancies is obtained, the new mean [tex]\mu_x=\mu=247,[/tex] the new standard deviation: [tex]\sigma_x=\sigma/\sqrt{n} =16/\sqrt{17} =3.88[/tex]

c) What is the probability that a random sample of 17 pregnancies has a mean gestation period of 242 days or less

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{242-247}{16/\sqrt{17} }=-1.29[/tex]

From the normal distribution table, P(x < 242) = P(z < -1.29) = 0.0985

d) What is the probability that a random sample of 49 pregnancies has a mean gestation period of 242 days or less?

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{242-247}{16/\sqrt{49} }=-2.19[/tex]

From the normal distribution table, P(x < 242) = P(z < -2.19) = 0.0143

(e) What might you conclude if a random sample of 49 pregnancies resulted in a mean gestation period of 242 days or less?

It would be unusual if it came from mean of 247 days

f) What is the probability a random sample of size 2020 will have a mean gestation period within 11 days of the mean

For x = 236 days

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{236-247}{16/\sqrt{20} }=-3.07[/tex]

For x = 258 days

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{258-247}{16/\sqrt{20} }=3.07[/tex]

From the normal distribution table, P(236 < x < 258) = P(-3.07 < z < 3.07) = P(z < 3.07) - P(z < -3.07) =0.9985 - 0.0011 = 0.9939

Answer:

d)    [tex]\frac{13 - 5x}{2x -8}[/tex]    

Step-by-step explanation:

Explanation:-

Given expression

                               [tex]\frac{\frac{3}{x-2}-5 }{2-\frac{4}{x-2} }[/tex]

we will do L.C.M  both numerator term and denominator term

                     ⇒    [tex]\frac{\frac{3-5(x-2)}{x-2} }{\frac{2(x-2)-4}{x-2} }[/tex]

on simplification , we get

                ⇒    [tex]\frac{\frac{13-5x}{x-2} }{\frac{2x-8}{x-2} }[/tex]

cancellation 'x-2'

we will get

          [tex]\frac{13 - 5x}{2x -8}[/tex]    

Answer:

This is a geometric sequence and the common ratio is equal to ½.

Step-by-step explanation:

For a sequence to be termed to be in arithmetic progression, the difference between consecutive terms are the same and constant.

On the other hand, a sequence is termed to be in geometric progression if the ratio of a term to the term before it is the same as the ratio between the next term to it.

Let's consider the sequence given: 12, 6, 3 . . .

=>Let's try to find the common difference if it would be constant: 6-12 (-6) ≠ 3-6 (-3)

The sequence is not arithmetic.

=>Let's also try to find the ratio of the sequence to see if it is constant:

6/12 (½) = 3/6 (½)

Therefore we can conclude the sequence is geometric because the common ratio (½) is constant.

This is a geometric sequence and the common ratio is equal to ½.

Answer:

Step-by-step explanation:

y = {9, 10, 11}

x = {2, 3, 4 , 5}

Maximum value of x +  y = 11 + 5 = 16

Minimum value of  y -x = 9 - 2 = 7

[tex]\frac{x+y}{y-x}=\frac{16}{7}[/tex]

Answer:

B. 3(4 + 5) = 3(4) + 3(5)

3 left-bracket (4) (5) right-bracket = 3 (4) + 3 (5)

3 left-bracket (4) (5) right-bracket = Left-bracket 3 (4) right-bracket + Left-bracket 3 (5) Right-bracket

Step-by-step explanation:

Distributive property of multiplication over addition:

a(b + c) = ab + ac

You have

3(4 + 5), so following the pattern above, you should get:

3(4 + 5) = 3(4) + 3(5)

Answer:

b

Step-by-step explanation:

I took the test

Answer:

e^4 d^2

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

b^3

Step-by-step explanation:

b^-3 c^0 d^2

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

e^-4

Negative exponents flip positions

e^4 c^0 d^2

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

b^3

c to the zero power is 1

e^4 d^2

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

b^3

Answer:

d^2 e^4

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

    b^3

Step-by-step explanation:

Answer:

d) Before cooling begins, the temperature of the water is 22°C

Step-by-step explanation:

Option A

If t=7 minutes

D=-7/5t+22

=-7/5(7)+22

=-49/5+22

=-49+110/5

=61/5

=12.2°C

Change in temperature=12.2°C-22°C

=-9.8°C

Option B

If t=5 minutes

D=-7/5t+22

=-7/5*5+22

=-7+22

=15°

Change in temperature=15°-22°

=-7°

Option C

The temperature of the ice must be less than 22°C

Option D

D=-7/5t+22

When ice is not placed, t=0

D=-7/5t+22

=-7/5(0)+22

=0+22

=22

Temperature of the water before cooling=22°

Answer:

D

Step-by-step explanation:

Answer:

only the inverse is a function

The zeroes of the function are 1 and 7 and multiplicity for zero 1 is two and for zero 5 is one.

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

We have a polynomial function:

f(x) = (x – 1)(x – 1)(x + 7)

We can write it as:

f(x) = (x – 1)²(x + 7)

Here at x = 1 the given function becomes zero and (x-1) repeats two times, so the multiplicity is 2, and for x = -7 the multiplicity is 1.

Thus, the zeroes of the function are 1 and 7 and multiplicity for zero 1 is two and for zero 5 is one.

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Answer:

320793

Step-by-step explanation:

320793 / 11 = 29163