A video game was discounted and now costs two thirds of its original
price. If it originally cost $45, how much does it cost now?

Answer:

Hey there!

Point slope form:

y-4=-8/7(x-4)

Let me know if this helps :)

Answer:

c = -5

d = -10

Step-by-step explanation:

A biologist is tracking a bird when it was at A.

Coordinates of point A are (2, 4).

This bird moves from point A to point B.

Coordinates of the point B are (-3, -6).

Vector form of vector represented by [tex]\overrightarrow{AB}=<x_2-x_1, y_2-y_1>[/tex]

By substituting the coordinates of points A and B,

[tex]\overrightarrow{AB}=<(-3-2),(-6-4)>[/tex]

      = < -5, -10 >

[tex]\overrightarrow{AB}=\binom{-5}{-10}[/tex]

By comparing it with the vector form of [cd]

c = -5

d = -10

Answer:

[tex]\huge \boxed{\mathrm{3780 \ cm}}[/tex]

[tex]\huge \boxed{\mathrm{37.8 \ m}}[/tex]

Step-by-step explanation:

22 students each maintain distancing of 180 centimeters apart.

1-2-3-4-5-6-7-8-9-10-11-12-13-14-15-16-17-18-19-20-21-22

There are 21 spaces between the students in the line.

21 × 180

= 3780

The length of the line is 3780 centimeters.

To convert cm to m, we divide the value by 100.

[tex]\frac{3780}{100}[/tex] = 37.8

The length of the line is 37.8 meters.

[tex]\huge{\boxed{\bf{Solution:}}}[/tex]

We have,

To FinD:

⚠️ Considering the lateral width of each student be negligible and then only considering the gap between them.

.................Similarly,

We have, Length of Gap = 180 cm

➝ Total length of gaps = 180 cm × 21 = 3780 cm

Converting into m,

➝ 100 cm = 1 m

➝ 3780 cm = 3780 / 100 m

➝ 3780 cm = 37.80 m

⚘ Length of line:-

In cm ➝ 3780 cm

In m ➝ 37.8 m

━━━━━━━━━━━━━━━━━━━━

Answer:

The answer is below

Step-by-step explanation:

The angle 130° lies in the second quadrant since it is between 90° and 180°. Coterminal angles are angles that share the same initial and terminal side with an angle. For a angle, there are many coterminal angles, to find a coterminal angle all you have to add or subtract 360°.

The positive angle that is coterminal to 130° are:

130 + 360 = 490°

490 + 360 = 850°

The negative angle that is coterminal to 130° are:

130 - 360 = -230°

-230 - 360 = -590°

The terminal side of a  130° angle lies in the second quadrant.

Given angle measures  130°.

The whole graph plane is divided into four quadrants, namely first quadrant, second quadrant, third quadrant and fourth quadrant.

The first quadrant has range of angles from 0 degrees to 90 degrees.

The second quadrant has range of angles from 90 degrees to 180 degrees.

The third quadrant has range of angles from 180 degrees to 270 degrees.

The fourth quadrant has range of angles from 270 degrees to 360 degrees.

Since the given angle measures  130°, thus its plot has initial side on zero degree and terminal side on  130° in the second quadrant, as [tex]90^{\circ}< 360^{\circ} < 180^{\circ}[/tex]

Thus, we have terminal side of a 130° angle lying in the second quadrant.

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Answer:

The length of the warehouse is 280 feet.

Step-by-step explanation:

Let A be the area of the warehouse floor, W be its width, and L be its length.

A = W * L

We know that the length is twice the width:

L = 2W

Substitute the second equation into the first equation and we get:

A = 2W * W

Solve for W (A = 39200):

39200 = 2W * W

39200 = 2W²

19600 = W²

W = 140

Plug that number into the second equation to get the length:

L = 2 * 140

L = 280

So the length of the warehouse is 280 feet, the width is 140 feet, and the total area is 39200 ft²

Answer:

$31.25

Step-by-step explanation:

Let's set up an equation.

$220. 28 - total

$126.53 - cost for parts

3 - # of hours

? - price per hour

3h + $126.53 = $220.28

Subtract $126.53 from both sides.

3h = $93.75

Divide by 3.

h = $31.25

The mechanic charges $31.25 per hour for labor.

Hope that helps.

Answer:

w = 112

Step-by-step explanation:

1/8w = 14

Multiply each side by 8

8*1/8w = 14*8

w = 112

Answer: w = 112

Explanation: If w is being multiplied by a fraction, simply multiply both sides of the equation by the reciprocal of that fraction to get w by itself.

So in this problem, since w is being multiplied by 1/8,

we multiply both sides of the equation by 8/1.

On the left, (8/1) (1/8) cancels out and on the right,

if you multiply 14 by 8/1, you get 112.

So w = 112.

Image is attached below.

Answer: " Compare and order integers, -3, +4  -3 < +4, 3 is farther to the left on the number line than +4. To put integers in order , you order the elevations from least to greatest. First, graph each integer then, write the integers as they appear on the number line from left to right. To compare integers If there are two numbers we can compare them one number is either greater than, less than or equal to the other number.

Answer:

Height of lamppost = 23.835 ft (Approx)

Step-by-step explanation:

Given:

Man's distance from lamppost = 15 ft

Shadow length = 5 ft

Angle of elevation = 50°

Find:

Height of lamppost

Computation:

Using trigonometry application.

Total base length = 15 ft + 5 ft

Total base length = 20 ft

Tan 50° = Height of lamppost / Total base length

1.19175359 =  Height of lamppost / 20

Height of lamppost = 23.835 ft (Approx)

Answer:

To the nearest foot it is about 24 feet

Answer:  Answer is the steps.

Step-by-step explanation:

The table of  with   the values  

 x           y  

0             3

1              1  

2              -1

3              -3  

It represents a linear function because as the y values decrease by 2  the x values increase by 1.

Answer:

Step-by-step explanation:

Let the points be A and B

A ( -8 , - 18 )⇒( x₁ , y₁ )

B ( 14 , -18 )⇒( x₂ , y₂)

Finding the distance between these two points

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

Plug the values

⇒[tex] \sf{ \sqrt{ {(14 - ( - 8)}^{2} + {( - 18 - ( - 18))}^{2} } }[/tex]

We know that,[tex] \sf{( - ) \times ( - ) = ( + )}[/tex]

⇒[tex] \sf{ \sqrt{ {(14 + 8)}^{2} + {( - 18 + 18)}^{2} } }[/tex]

Calculate

⇒[tex] \sf{ \sqrt{ {22}^{2} + {0}^{2} } }[/tex]

Evaluate the power

⇒[tex] \sf{ \sqrt{484} }[/tex]

⇒[tex] \sf{{22} }[/tex] units

Hope I helped !

Best regards!!

Answer :

In the picture above. I hope it helps:)

I started at 2 but for the one bracket just know that

1×1=1

1×2=2

1×3=3

1×4=4

1×5=5

1×6=6

1×7=7

1×8=8

1×9=9

1×10=10

1×11=11

1×12=12

Answer:f(t)=4/9t — 12

Step-by-step explanation:

1. 4 is being multiplied by t first then divided by 9 not by 4/9 so there shouldn’t be any parentheses.

2. 12 is being subtracted from this so it should be 4/9t—12.

3. Final answer: f(t)= 4/9t — 12

Answer:

Area of a parallelogram is base times height. Note that CD = AB & AD = BC

to find the height, draw a line from angle B perpendicular to the base b. Lets call the point of intersection at the base E. This constitutes a right triangle with AB as the hypotenuse. Using the law of sine to calculate the height h:

h/sin(A) = AB/sin(90°) ( sin(90°) = 1)

h = AB * sin(45°)

h = 10 * sin(45°)

Area = 14 * 10 * sin(45°) = 140 * sin(45°) ≈ 98.99 QEDexplanation:

Answer:

x = -12, a = 17

Step-by-step explanation:

You can use algebraic techniques to simplify two-step equations. They have a constant on one side of the equation and a variable with a coefficient on the other. However, for algebraic equations, most will require you to add or subtract a constant from the side with the variable.

4x + 7 = -41 can be simplified algebraically. Subtract 7 from both sides and then divide by 4.

4x + 7 = -41

4x = -48

x = -12

-4 - 2a = -38 can also be simplified algebraically. Add 4 to both sides and then divide by -2.

-4 - 2a = -38

-2a = -34

a = 17

Answer:

8    x = -12

12    a = 17

Step-by-step explanation:

8

4x + 7 = -41

4x = -41 - 7

4x = -48

x = -48/4

x = -12

probe:

4*-12 + 7 = -41

-48 + 7 = -41

12

-4 - 2a = -38

-2a = -38 + 4

-2a = -34

a = -34/-2

a = 17

probe:

-4 - 2*17 = -38

-4 - 34 = -38

Answer:

The correct option is;

x³ + 4·x² + 3·x  < x³ + 13·x² + 54·x + 72.

Step-by-step explanation:

The given parameters are;

The basic plan of the decorator = x wall-color options, x + 1 ceiling-colr options, and x + 3 floor options

The gold plan of the decorator = All of the basic plan options plus 3 additional options in each category

Therefore, the gold plan of the decorator = (x + 3) wall-color options, (x + 1 + 3) ceiling-color options, and (x + 3 + 3) floor options

The total number unique layouts offered by the basic plan = x × (x + 1) × (x + 3) = x³ + 4·x² + 3·x

Also, the total number unique layouts offered by the gold plan = (x + 3) × (x + 1 + 3) × (x + 3 + 3) = (x + 3) × (x + 4) × (x + 6)  = x³ + 13·x² + 54·x + 72

Which gives;

The comparison between the total number of unique layouts offered by the basic and gold plans  as x³ + 4·x² + 3·x  < x³ + 13·x² + 54·x + 72.

Answer:

Frank is wrong

Step-by-step explanation:

[tex]6(6) - 1 = 35[/tex]

35 is a multiply by 5 so it is not a prime number.

Answer:

8, 4, 7

Step-by-step explanation:

The sequence is going backwards from 9 by adding and subtracting.

1, 10, 2, 9, 3, ___, ___, ___

11 - 10 = 1

1 + 9 = 10

10 - 8 = 2

2 + 7 = 9

9 - 6 = 3

3 + 5 = 8

8 - 4 = 4

4 + 3 = 7

Hope that helps.

Answer:

B

Step-by-step explanation:

Lets convert everything to gallons.

Alpha Mart:

1 quart = 0.25 gallons

1 * 0.25 = 0.25 gallons for $1

1 / 0.25 = 4 * 1 = $4 per gallon

Beta Mart:

1 gallon for $3

Gamma Mart:

1 pint = 0.125 gallons

0.125 gallons for $0.54

1 / 0.125 = 8 * 0.54 = $4.32 per gallon

Delta Mart:

1 quart = 0.25 gallons

2 * 0.25 = 0.5 gallons for $1.86

1 / 0.5 = 2 * 1.86 = $3.72 per gallon.

As we can see from all the unit prices, Beta Mart sells milk for the cheapest price.

Best of Luck!

Answer: B

Step-by-step explanation:

B

Step-by-step explanation:

Lets convert everything to gallons.

Alpha Mart:

1 quart = 0.25 gallons

1 * 0.25 = 0.25 gallons for $1

1 / 0.25 = 4 * 1 = $4 per gallon

Beta Mart:

1 gallon for $3

Gamma Mart:

1 pint = 0.125 gallons

0.125 gallons for $0.54

1 / 0.125 = 8 * 0.54 = $4.32 per gallon

Delta Mart:

1 quart = 0.25 gallons

2 * 0.25 = 0.5 gallons for $1.86

1 / 0.5 = 2 * 1.86 = $3.72 per gallon.

Hope it helps!

Answer:

The median (half-above and half-below) could not have changed, because "corrected value was still lower than any other salary" does not change the position of that observation (still least) in the sorted list of salaries.

HOPE THIS HELPED < 33

Step-by-step explanation:

Answer: O Thomson​

Step-by-step explanation:

So, the correct option is "Thomson" .

Answer:

Thomson

Step-by-step explanation:

Answer:

The correct answer is:

It is a continuous random variable (C)

Step-by-step explanation:

Continuous Random Variables are variables that do not take on a distinct value. They take on values that are a range of different possibilities to infinity. In continuous random variables, the values cannot be counted. In this example, the time it takes for a light bulb to burn out can be any rational number which is greater than 0, up to infinity; for instance, it can be 24 hours, 24.5 hours, 30.8 hours, 51.2 hours etc. There is an infinite possibility of the time it takes for the bulb to burn out.

Discrete Random Variables are ones in which the variables take on distinct values and nothing in between. Here, the outcomes can be counted. For example if a coin is tossed, there are only two possibilities which can be the outcome and that is either head, or tail. The number of possible outcome is 2, and there is nothing inbetween head or tail.

Answer:

It’s C

(Gibberish words to so i can to 29 words)

hciejdgrifgirgrittrufifgeydifufgfidhfuvifgdudugcudydgdidhdhf

Hope this helped,if not, don’t hate.

Answer:

Option (C)

Step-by-step explanation:

To determine the population we use the formula,

[tex]P_n=P_0(1+r)^{n}[/tex]

Where [tex]P_n[/tex] = final population

[tex]P_0[/tex] = Initial population

r = percentage growth

Now we substitute these values in the formula,

[tex]7921=7547(1+r)^1[/tex]

[tex]\frac{7921}{7547}=(1+r)[/tex]

r = 1.0496 - 1

r = 0.0496

r = 0.05

Therefore, percentage growth of the population of Stark county is 5%.

Option (C). will be the answer.

Greetings from Brasil...

Here's our problem:

[tex]\large{\frac{12^{3}}{12^{7}}}[/tex]

From potentiation properties:

Mᵃ ÷ Mᵇ = Mᵃ⁻ᵇ

division of power of the same base: I repeat the base and subtract the exponents

So, in our problem

[tex]\large{\frac{12^{3}}{12^{7}}}[/tex] = 12³ ÷ 12⁷

12³ ÷ 12⁴ = 12³⁻⁷

12⁻⁴

We also know about another property: P⁻ⁿ = (1/Pⁿ) so

12⁻⁴ = (1/12⁴)

Answer

[tex]\frac{16}{5}[/tex]*[tex]\frac{36}{12}[/tex]*[tex]\frac{25}{18}[/tex]=[tex]\frac{4}{1} *\frac{2}{3} *\frac{5}{1}=\frac{40}{3} =13\frac{1}{3}[/tex]

Step-by-step explanation:

Answer:

2xy and 5xy are like terms

Step-by-step explanation:

Like terms have the same number, and variables.

A is correct since it has one number and two variables of x and y.

B is wrong since 7 doesn’t have xy at the end like 2xy does.

C is wrong since -3 doesn’t have xy at the end like 5xt does.

D is right since 7 and -3 are by themselves with no variables.

Best of Luck!

Answer:

8<w<35

Step-by-step explanation:

the w has to be over 8, but less than 35, so 8<w<35 is ur answer.

// have a great day //

Answer: 5.83 milea

Step-by-step explanation:

As displacement is the shortest distance between two points. Now 5 miles north and 3 miles east so it makes a Right angle traingle and the hypotenuse is the displacement so

Displacement is (5^2 +3^2)^0.5 =5.83 miles.

The displacement is 5.83 miles.

A triangle in geometry is a three-sided polygon with three edges and three vertices.

As per the given data:

Miles Sean ran to the north of his house = 5 miles

Miles Sean ran to the east of his house = 3 miles

For finding the displacement, we have to find out the length of the line from the initial to the final position of Sean.

As Sean first ran north and then ran east, a right-angled triangle is made.

The displacement of Sean is given by the hypotenuse of this right-angled triangle.

The perpendicular is the distance ran in north.

The base is the distance ran in east.

Now, by using the Pythagoras theorem:

H² = P² + B²

H² = (5)² + (3)²

H² = 25 + 9

H² = 34

H = √34 = 5.83 miles

The displacement is 5.83 miles.

Hence, The displacement is 5.83 miles.

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