Two parallel lines are crossed by a transversal. Horizontal and parallel lines g and f are cut by transversal h. At the intersection of lines g and h, the bottom left angle is a degrees. At the intersection of lines f and h, the bottom left angle is 63 degrees.

Answer:

Just count the unit squares

Step-by-step explanation:

If you learn this they may call u dumb but if your beginner then count the squares

Answer:

768

Step-by-step explanation:

let C represent cost and w weight, then the equation relating them is

C = kw² ← k is the constant of variation

To find k use the condition w = 20, C = 4800, that is

4800 = k × 20² = 400k ( divide both sides by 400 )

12 = k

C = 12w² ← equation of variation

When w = 8, then

C = 12 × 8² = 12 × 64 = 768

Answer:

-2²

Explanation:

Doing -k² is the same thing as -(k²), so the answer will be negative. However, (-k)² will still be positive. -2² will equal -4.

Answer:

Mean: 12.9

Standard deviation: 14.8

Step-by-step explanation:

The mean is calculated adding all of the values and dividing by the number of elements:

[tex]m=\frac{2+3+7+12+1+4+27+49+11}{9}=\frac{116}{9}=12.9[/tex]

to find the standard deviation, we first find the variance (which is defined as the sum of all the elements subtracting the mean and squared and then dividing by the total amount of elements):

[tex]v=\frac{(2-12.9)^2+(3-12.9)^2+(7-12.9)^2+(12-12.9)^2+(1-12.9)^2+(4-12.9)^2+(27-12.9)^2+(49-12.9)^2+(11-12.9)^2}{9}\\[/tex]

[tex]v=\frac{1978.89}{9}\\[/tex]

[tex]v=219.88[/tex]

Noe that we have the variance, we can calculate the standard deviation.

The stardard deviation is defined as the squared root of the variance:

[tex]standardDeviation=\sqrt{v}[/tex]

we substitute the variance:

[tex]standardDeviation=\sqrt{219.88} \\standardDeviation=14.8[/tex]

Thus, the answer is:

Mean: 12.9

Standard deviation: 14.8

Answer:

A.) It is not in standard form because the degree of the first term is not greater than six.

Step-by-step explanation:

The set the describes the domain of P(h) is (b)  {h| 0 ≤ h ≤ 60}

In this case, the domain represents the set of hours he is permitted to work

From the question, we understand that he cannot work more than 60 hours

This means that, the least number of hours to work is 0, and the highest is 60

So, the domain is 0 to 60

When represented properly, the domain of P(h) is (b)  {h| 0 ≤ h ≤ 60}

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Answer:

3

Step-by-step explanation:

=> 5xyz

Degree of polynomial is summing up the powers of the variable, so it will give you the degree of polynomial

=> Degree of this polynomial = 1+1+1

=> 3

Answer:

It would require 40 teaspoons

Step-by-step explanation:

Given that;

A cookie recipe requires 3 teaspoons of baking soda for 36 cookies

The amount of teaspoons of baking soda required per cookie is;

r = 3/36 teaspoons per cookie

So, for 480 cookies i would require;

N = r × 480 cookies

Substituting r, we have;

N = 3/36 teaspoons per cookie × 480 cookies

N = 40 teaspoons

It would require 40 teaspoons

Answer:

Step-by-step explanation:

After one year

A=p(1+r/n)^nt

=2000(1+0.03/12)^12*1

=2000(1+0.0025)^12

=2000(1.0025)^12

=2000(1.0304)

=$2060.8

After two-years

A=p(1+r/n)^nt

=2060.8(1+0.03/12)^12*2

=2060.8(1+0.0025)^24

=2060.8(1.0025)^24

=2060.8(1.0618)

=$2188.157

After three years

A=p(1+r/n)^nt

=2188.157(1+0.03/12)^12*3

=2188.157(1+0.0025)^36

=2188.157(1.0025)^36

=2188.157(1.0941)

=$2394.063

Amount in account after one year, two and three years are respectively  $2,060 , $2,121.8 and $2,185.45

Given:

Principal amount = $2,000

Rate of interest = 3% = 0.03

Amount in account after one year

A = P(1+r)ⁿ

A = 2,000(1+0.03)¹

A = 2,000(1.03)¹

A = 2,000(1.03)

A = $2,060

Amount in account after two year

A = P(1+r)ⁿ

A = 2,000(1+0.03)²

A = 2,000(1.03)²

A = 2,000(1.0609)

A = $2,121.8

Amount in account after three year

A = P(1+r)ⁿ

A = 2,000(1+0.03)³

A = 2,000(1.03)³

A = 2,000(1.092727)

A = $2,185.45

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Answer:

Step-by-step explanation:

Since the figure is symmetrical, angle MOA will be half of angle BOA, so will be 130°/2 = 65°. The tangent ratio is useful here. It tells you ...

  tan(MOA) = MA/OA

  AM = OA·tan(MOA) = 6·tan(65°)

  AM ≈ 12.87 . . . cm

__

Similarly, ...

  CM = 4·tan(65°)

  CM ≈ 8.578 . . . cm

__

The cosine ratio is useful for finding OD.

  cos(MOA) = OA/OM

  OM = OA/cos(MOA) = 6/cos(65°)

Similarly, ...

  DM = 4/cos(65°)

The length we want is OD, so ...

  OD = OM +DM = 6/cos(65°) +4/cos(65°) = 10/cos(65°)

  OD ≈ 23.66 . . . cm

Answer:

There are 8 quarters and 2 nickels

Step-by-step explanation:

4 quarters for every 1 nickel

This means that for every 1 dollar, there are 5 cents

Double the statement above

1.05 x 2 = 2.10

There are 8 quarters and 2 nickels

Answer:

250

Step-by-step explanation:

1000/4000

Answer:

Step-by-step explanation:

D is the answer

Answer:

25.5x

Step-by-step explanation:

Simply convert the fraction into a decimal and add.

21/2x = 10.5x

10.5x + 15x = 25.5x

If you want to keep it in fraction form, 15 is 30/2, so,

30x/2 + 21x/2 = 51x/2

Answer:

51x/2

Step-by-step explanation:

Add it like a normal fraction equation

Have them both with the same denominator of 2

30/2 + 21/2

Add the numerators

51/2

Now put the x into the numerator since it started as in the numerator

Answer: 51x/2

Hope this helps!

The solution point is (4,2).

Step-by-step explanation:

Equation of straight line passing through the points (0,0) and (4,2) is given by

⇒ 2y = x ............ (1)

And the other straight line is y = - x + 6 .............. (2)

Now, solving equations (1) and (2) we get, y = - 2y + 6

⇒ 3y = 6

⇒ y = 2

And from equation (1) we get, x = 2y = 4

Therefore, the solution point is (4,2). (Answer)

Answer:

(-8,-6)

Step-by-step explanation:

This is the real answer for this question and this is a image of the graph

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete answer.

A given line has the equation 2x + 12y = −1.

What is the equation, in slope-intercept form, of the line that is perpendicular to the given line and passes through the point (0, 9)?

General formula of equation of a line is exspressed as y = mx+c

m = gradient or slope  

c = intercept

Step 1: we need to first get the slope of the given equation of a line by rewriting the equation in standard form y = mx+c

2x + 12y = −1

12y = -1-2x

y = -1/12-2x/12

y = -1/6 x - 1/12

From the equation above, it can be seen that the slope (m) of tghe line is -1/6.

Since both lines are perpendicular, the slope of the unknown line will be;

M = -1/m

M = -1/(-1/6)

M = 6

Step 2: We will find the intercept c by substituting the point (0,9) and the slope into the equation y = mx+c

9 = 6(0)+ c

c = 9

Stwp 3: We will find the equation of the line perpendicular to the given line by substituting the value of m and c into the equation y = mx+c

y = 6x+9

y-6x = 9

The equation in slope-intercept form, of the line that is perpendicular to the given line and passes through the point (0, 9) is y-6x = 9

Answer:

y-6x=9

Step-by-step explanation:

Answer:

.45

$0.45

45%

45/100

Step-by-step explanation:

Answer:  A) 7 real zeros and 6 turning points at 0, 2, 4

Step-by-step explanation:

x⁷ - 6x⁶ + 8x⁵

The degree (largest exponent) is 7 so the maximum number of real zeros is 7.

Factor out x⁵

x⁵(x² - 6x + 8)

Factor the quadratic

x⁵(x - 2)(x - 4)

Set each factor equal to 0 and solve for x

x⁵ = 0         --> x = 0  (multiplicity of 5)

x - 2 = 0     --> x = 2

x - 4 = 0     --> x = 4

Answer:

see below

Step-by-step explanation:

2/3y + 15 = 9

Subtract 15 from each side

2/3y + 15-15 = 9-15

2/3y = -6

Multiply each side by 3/2 to isolate y

3/2 * 2/3y = -6 *3/2

y = -9

Answer:

y = - 9

Step-by-step explanation:

2/3y + 15 = 9

Subtract 15 on both sides.

2/3y = 9 - 15

2/3y = - 6

Multiply both sides by 3/2.

y = - 6 × 3/2

y = -18/2

y = -9

Answer:

7.9km

Step-by-step explanation:

(a)See attached for the diagram representing this situation.

(b)

In Triangle ABC

[tex]\text{Using Law of Sines}\\\dfrac{\sin A}{a}=\dfrac{\sin C}{c} \\\dfrac{\sin A}{5.2}=\dfrac{\sin 58^\circ}{6.8} \\\sin A=5.2 \times \dfrac{\sin 58^\circ}{6.8}\\A=\arcsin (5.2 \times \dfrac{\sin 58^\circ}{6.8})\\A=40.43^\circ[/tex]

Next, we determine the value of Angle B.

[tex]\angle A+\angle B+\angle C=180^\circ\\40.43+58+\angle B=180^\circ\\\angle B=180^\circ-(40.43+58)\\\angle B=81.57^\circ[/tex]

Finally, we find b.

[tex]\text{Using Law of SInes}\\\dfrac{b}{\sin B}=\dfrac{c}{\sin C} \\\dfrac{b}{\sin 81.57^\circ}=\dfrac{6.8}{\sin 58^\circ} \\b=\dfrac{6.8}{\sin 58^\circ} \times \sin 81.57^\circ\\b=7.9km $ (to the nearest tenth of a kilometer)[/tex]

The distance between the small plane and the observation tower is 7.9km.

Answer:

53.8 L

Step-by-step explanation:

We can use the ideal gas formula that relates pressure, volume and temperature:

[tex]\frac{P_1 V_1}{T_1} = \frac{P_2 V_2}{T_2}[/tex]

where P1 = initial pressure = 1.0 atm

V1 = initial volume = 45 L

T1 = initial temperature = 25°C = 25 + 273 = 298 K

P2 = final pressure = 0.78 atm

V2 = final volume

T2 = final temperature = 5.0°C = 5 + 273 = 278 K

Therefore, the final volume will be:

[tex]\frac{1 * 45}{298} = \frac{0.78 * V_2}{278}\\\\0.151 = 0.002806 V_2\\\\=> V_2 = 0.151 / 0.002806\\\\V_2 = 53.8 L[/tex]

Its volume is 53.8 L

Answer:

The variance rounded to the nearest tenth is 691.8

Step-by-step explanation:

Xavier's bowling scores:

135, 140, 130, 190, 112, 200, 185, 172, 163, 151, 149

No. of observations n = 11

[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\Mean = \frac{135+140+130+190+112+200+185+172+ 163+ 151+149}{11}\\Mean =157[/tex]

Formula of variance : [tex]\sigma^2=\frac{\sum(x_i-\bar{x})^2}{n}[/tex]

[tex]\sigma^2=\frac{(135-157)^2+(140-157)^2+(130-157)^2+(190-157)^2+(112-157)^2+(200-157)^2+(185-157)^2+(172-157)^2+(163-157)^2+(151-157)^2+(149-157)^2}{11}[/tex]

[tex]\sigma^2=\frac{7610}{11}[/tex]

[tex]\sigma^2=691.81[/tex]

Hence the variance rounded to the nearest tenth is 691.8

Answer:

-6,6

Step-by-step explanation:

x^2=36

6*6=36

-6*-6=36

Answer: The answer would be A.

The coordinates of the line are (0, 3) and (3, 0) hence, the line will pass through these points so, option A is correct.

A graph is a structure made up of a collection of things, where some object pairs are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

Given:

y = negative x + 3

The above phrase can be written as,

y = -x + 3

Calculate the slope as shown below,

Slope = -1

The x-intercept can be calculated as,

0 = -x + 3  (y is zero at the x-axis)

x = 3

The x-intercept can be calculated as,

y = 0 + 3 (y is zero at the x-axis)

y = 3

Mark the coordinates (0, 3) and (3, 0) on the graph and join the points you will get the graph.

The graph is attached below.

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Answer:

∛50 cm, 2∛50 cm, 3∛50 cm

Step-by-step explanation:

V= wlh

V=300 cm³

w= 1/3l

h= 2/3l

---------

Answer:

Length is 11.052cm

Width is 3.684cm

Height is 7.386cm

Step-by-step explanation:

Let length be x, width y and height Z

Width (y) = X/3 , height (z) = 2x /3

volume =xyz

volume = x(x/3)(2/3)x

Volume = (2/9)x³

But Volume =300

300= (2/9)x³

300/(2/9) = x³ (make x³ the subject to find x )

1350 = x³

x=3√(1350)

x=11.052cm

Length is 11.052cm

Width = x/3 =11.052 /3

= 3.684cm

Height = 2x/3 = 2(11.052) /3

= 7.368cm

You can check it by multiplying LWH to see if you get 300 (the volume)

Answer: i hope this helps (answer is down below)

Step-by-step explanation:

Area goes to square meters

speed goes to meters per second

volume goes to cubic centimetres

perimeter goes to meters

Answer:

Area: 7, because there are 7 squares.

Perimeter: 14.

Step-by-step explanation:

Answer:

P = 11/135 = 0.0815

Step-by-step explanation:

we can said that:

So, there are 124 people that use the gym, the pool or the track. This is calculated using the information above as:

14 + 18 + 21 + 22 + 14 + 16 + 19 = 124

Finally, there are 11 ( 135 - 124 = 11 ) people that don't use any facility, so the probability that a person doesn't use any facility is:

P = 11/135 = 0.0815

Answer:

0.0815

Step-by-step explanation: