Find the measures of each numbered angle:

Bridgette gives 1/10 cans of food to each dog.

According to the question,

We have the following information:

Bridgette has 9 dogs. Every day, she feeds them a total of 9/10 of a can of food, where each dog is fed the same amount of food.

Now, we have the following expression:

9 dogs = 9/10 can

Now, we can easily find the cans given to each dog using division. We will divide the total number of cans of food by the number of dogs.

1 dog = 9/(10*9) cans

1 dog = 1/10 cans of food

Hence, Bridgette gives 1/10 cans of food to each dog.

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The equation of a line in the point-slope form that has a slope of 1/3 and passes through the point (6,-2) is [tex]y+2 =\frac{1}{3} (x-6 )[/tex].

Calculation

[tex]y-y_{1} =m(x-x_{1} )[/tex]

[tex]y-(-2) =\frac{1}{3} (x-6 )[/tex]

[tex]y+2 =\frac{1}{3} (x-6 )[/tex]

Therefore, the equation of a line in the point-slope form that has a slope of 1/3 and passes through the point(6, -2) is [tex]y+2 =\frac{1}{3} (x-6 )[/tex]

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The expression 11! / 9!(11-9)! evaluates to 55

The symbol ! is called factorial in mathematics.

Factorial can be defined as the product of all positive integers less than or equal to a given positive integer and denoted by that integer and an exclamation point.

Thus, factorial five is written as 5! meaning 5×4×3×2×1

It can also be written in shortened form as 5×4! or 5×4×3!

Let's evaluate  11! / 9!(11-9)!  now:

11! / 9!(11-9)! =  11! / 9!(2)!

                    = 11×10×9! / 9!2!

                    = 11×10/ 2                   (Note: 2! = 2×1 =2 )

                    = 110/2

                   =  55

Note: We shortened 11! to 11×10×9! because we want the 9! to cancel out each other. This is usually done to ease the evaluation. Also, note that 0! = 1

Therefore,  the result of the evaluation of the expression 11! / 9!(11-9)! is 55

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Answer:

62%

Step-by-step explanation:

1040-110-145-139=646

646/1040=62%

Answer:

Step-by-step explanation:

yes, it is a function

Answer: no

Step-by-step explanation: you have -2,-5 and -2,0 you cant have 2 or more x values that are the same.

Answer:

the mistake was in subtracting 21.6 from 13.8

Step-by-step explanation:

the answer was suppose to be -7.8 and not 35.4

Answer:

the mistake was in subtracting 21.6 from 13.8

Step-by-step explanation

the answer was suppose to be -7.8 and not 35.4

Answer:

  AD = 32

Step-by-step explanation:

You want the length of side AD of square ABCD, when CD = (x+15) and angle ABC is (6x-12)°.

The value of x can be found by recognizing that the measure of any angle in a square is 90°.

  (6x -12)° = 90°

  6x = 102 . . . . . . . . divide by °, add 12

  x = 17

The sides of a square are congruent, so ...

  AD = CD = (x +15) = 17 +15 = 32

The length of AD is 32 units.

The coordinates of the image of the point (-7, 5) are (7, -5).

We are given point P. The coordinates of the point P are (-7, 5). We perform a transformation on the given point. We rotate the given point about the origin counter-clockwise. The angle of rotation is 180°. We need to find the coordinates of the image of the point after rotation.

Let the new coordinates of the image of the point after rotation be denoted by (X, Y). If the coordinates of the original point are (x, y), then the relations between the coordinates of the point and the image are given below.

X = x*cosθ - y*sinθ

X = (-7)*cos(180°) - (5)*sin(180°)

X = (-7)*(-1) - (5)*(0)

X = 7

Y = x*sinθ + y*cosθ

Y = (-7)*sin(180°) + (5)*cos(180°)

Y = (-7)*(0) + (5)*(-1)

Y = -5

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Answer:

324 cm²

Step-by-step explanation:

area of a square = L x L = L²

L = 18cm

(18cm)² = 18cm x 18cm = 324 cm²

Answer:

option c this is no solution for the equations

Answer:

x=5 y=-8 the calc are in the photo

Answer:

6cm square

Step-by-step explanation:

Answer:

477,577 lb

Step-by-step explanation:

Volume of sphere:

V = (4/3)πr³

V = (1/2)(4/3)(3.14159)(14 ft)³ = 5,747.015 ft³

d = 83.1 lb/ft³

W = Vd

W = 5,747.105 ft³ × 83.1 lb/ft³

W = 477,577 lb

The coordinates of the vertices after a rotation 270° counterclockwise around the origin is

T' = (-8, -4)

U' = (-8, -6)

V' = (-3, -9)

W' = (-3, -7)

The coordinates of T = (4, -8)

The coordinates of U = (6, -8)

The coordinates of V = (9, -3)

The coordinates of W = (7, -3)

The rule of rotating 270 degree clockwise around the origin is

P(x, y) = P'(y, -x)

The coordinates of T' = (-8, -4)

The coordinates of U' = (-8, -6)

The coordinates of V' = (-3, -9)

The coordinates of W' = (-3, -7)

Hence, The coordinates of the vertices after a rotation 270° counterclockwise around the origin is

T' = (-8, -4)

U' = (-8, -6)

V' = (-3, -9)

W' = (-3, -7)

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Phil lives in a state where his tax rate does not change when his income changes. This is an example of a proportional or flat tax.

Tax is defined as the official way individuals contribute to their state revenue through the compulsory deduction of some amount of money from their monthly income.

There are two types of tax which include the following:

Proportional or flat tax: This is defined as the type of tax that is being paid by individuals from different class in the society whereby all are expected to pay tax with the same rate irrespective of the income.

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On solving the system of equations by substitution method , the solution is x = 0 , y = 1 and x = 4 , y = 9    .

In the question ,

it is given that

the system of equation is

y = x² - 2x + 1

y = 2x + 1

by using substitution method ,

Substituting y = 2x + 1 in y = x² - 2x + 1

we get

2x [tex]+[/tex] 1 [tex]=[/tex] x² - 2x [tex]+[/tex] 1

x² - 2x [tex]+[/tex] 1 - 2x - 1 [tex]=[/tex] 0

x² - 4x = 0

x(x-4) = 0

So , x=0      or    x = 4

for x=0 , y = 2x+1 = 1

for x = 4, y = 2(4) + 1 = 9

Therefore, the solution for the system of equations is x=0 , y=1 and x=4 , y=9    .

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Answer:

Step-by-step explanation:

um ok so

Answer:

x=0

Step-by-step explanation:

the rest of this is so i can reach twenty characters.

The sum of all angles in a triangle sum up to 180.

∠1 = x+37

∠2=x+67

∠3=90° (right triangle)

∠1+∠2+∠3 = 180°

(x+37)+(x+67)+90=180

2x+104+90=180

2x+194=180

2x=-14

x=-7

An angle can't be negative, but when plugged in it works!!

∠1 = -7+37=30

∠2=-7+67=60

30+60+90=180

Hope it helps!

Answer:

you have to add x outside of the parentheses

Step-by-step explanation: hope this helps

Answer:

y = -x + 4

Step-by-step explanation:

The equation of a line follows the form y=mx+c, where x and y are the coordinates, c is the y-intercept (the value of x where the line crosses the y-axis), and m is the slope.

We are given two points/coordinates - (-3,7) and (1,3) - so we know the following is true for our equation:

7=-3m+c

3=m+c

Rearranging the second equation above, we get c=3-m. Sub this into the first one, and we get

7=-3m+3-m

4=-4m

m=-1

Knowing c=3-m, we can say c=3-(-1)=3+1=4

Having found values for m and c, we can now write our equation:

y = -x + 4

Hope this helps :)

Ester, Sarai, and Kurry each selected a number: 0.009, 0.09, and 0.9, respectively.

One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical sizes. For instance, 3+3+3+3+3 can be expressed as 3 5.

the ester's number is equal to one-tenth of the Sarai number.

= 1 / 10 × 0.09 = 0.009

to determine Kurry's number, multiply Sarai's number by 10

= 10 × 0.09 = 0.9

Therefore, it can be inferred that Kurry chose 0.9, Ester chose 0.009, and Sarai chose 0.09.

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Step-by-step explanation:

3.

we need to find the map size based on actual miles.

so, we find how many map ft are 1 actual mile :

5 ft / 20.5 corresponds to 1 actual mile.

5 / 20.5 = 10/41 ft

now, we have 15.5 actual miles, that is 15.5 times the 1 standard actual mile.

and so, this is

10/41 × 15.5 = 155/41 = 3.7804878048780... map ft

4.

30.5 model cm = 70.6 actual m

1 model cm = 70.6/30.5 = 2.314754098... actual m.

8 model cm = 8×2.314754098... =

= 18.51803279... actual m

5.

7 map m = 14 actual miles

1 map m = 14/7 = 2 actual miles.

14 map m = 14×2 = 28 actual miles.

6.

8 map km = 6 actual miles

we need to calculate the map km, so we need the standard actual mile

1 actual mile = 8/6 = 4/3 = 1.3333333... map km.

50.2 actual miles = 50.2×1.333333... =

= 66.93333333... map km.

7.

80.2 model cm = 40.2 actual m

1 model cm = 40.2/80.2 = 0.501246883... actual m

10 model cm = 10×0.501246883... =

= 5.01246883... actual m

8.

6 map m = 15 actual miles

1 map m = 15/6 = 5/2 = 2.5 actual miles

8.8 map m = 8.8×2.5 = 22 actual miles

9.

5 map ft = 16.5 actual miles

1 actual mile = 5/16.5 = 0.303030303... map ft

45.6 actual miles = 45.6×0.303030303... =

= 13.81818181... map ft

10.

65.8 model cm = 95.6 actual m

1 model cm = 95.6/65.8 = 1.452887538... actual m

12 model cm = 12×1.452887538... =

= 17.43465046... actual m

The dimensions required to minimize the cost of fencing is 180ft and 360 ft.

According to question

The cost of fence on opposite side of river is $40.

The cost of fence on other sides of river is $10.

Total yield = 64800 sq. feet

Let the length of fence on the opposite side of fence be x and width of fence on the other side be y.

Area of fence = xy = 64800 sq feet

⇒ [tex]y = \frac{64800}{x}[/tex]

Let C be the cost of making fence.

For cost to be minimum, dC/dx should be equal to zero.

C = 40x + 10y * 2

⇒ C = [tex]40x + 10(\frac{64800}{x})*2[/tex]

⇒ [tex]\frac{dC}{dx} = 40 + 20 * 64800 * \frac{-1}{x^{2} } = 0[/tex]

⇒ [tex]40x^{2} = 20 * 64800[/tex]

⇒ [tex]x^{2} = 32400[/tex]

⇒ [tex]x = 180[/tex]

⇒ [tex]y = \frac{64800}{180} = 360[/tex]

So, the dimensions needed will be 180 ft and 360 ft.

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The probability to win two or more tickets in the lottery is 0.118

It is given that there is a 5% chance to win a lottery ticket.

Therefore, the probability to win a lottery ticket is

0.05

The girl here plays the game 12 times. The above distribution is clearly a Binomial Distribution

ⁿCₓ  X  pˣ  X  (1 - p)ⁿ⁻ˣ

We need to calculate the probability to win 2 or more tickets

= 1 - the probability to win at least one ticket

= 1 - P(X = 0) + P(X = 1)

here,

p = 0.05

1 - p = 0.95

n = 12

P(X = 0)

= ¹²C₀  X  0.05⁰  X  0.95¹²

= 0.54036

P(X = 1)

= ¹²C₁  X  0.05¹  X  0.95¹¹

= 0.34128

Hence we get

P(X ≥ 2) = 1 - 0.54036 - 0.34128

= 0.118

Therefore, we get the probability that the person will win 2 or more tickets to be 0.118

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Answer:

f(4) = - 27

Step-by-step explanation:

substitute x = 4 into f(x) , that is

f(4) = - 2(4)² + 5 = - 2(16) + 5 = - 32 + 5 = - 27

Answer:

69

Step-by-step explanation:

Replace x with 4

-2(4)^2 +5

-8^2+5

64+5

69

The value of the correlation coefficient is 0.625.

Correlation coefficients quantify the strength of a relationship between two variables. A correlation coefficient is a number ranging from -1 to 1 that indicates the degree and direction of a relationship between variables. It is a statistical notion that aids in the establishment of a relationship between predicted and actual values collected in a statistical experiment.

In this case, the slope of the model was 2.5 centimeters per pH level, and the standard deviation of the sample of plant heights was 4 centimeters.

The correlation coefficient will be:

= Slope / Standard Deviation

= 2.5 / 4

= 0.625

The coefficient is 0.625.

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Answer: y intercept is -1

Step-by-step explanation:

The value of the expression −2(42−7)+(−5) is -75.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

Addition, subtraction, multiplication, and division are all possible mathematical operations.

In this case, we want to calculate the value of the expression:

−2(42−7)+(−5)

= -2(35) + (-5)

= -70 - 5

= -75

The value is -75.

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(4, 1) is the solution for the given inequalities

Given,

The system of inequalities;

3x + y ≤ 14

3x + 5y < 19

We have to find that (4, 1) is a solution to the given system of inequalities;

So,

(x, y) = (4, 1)

Then,

Substitute the values of x and y in the equation;

3x + y ≤ 14

3 x 4 + 1 ≤ 14

12 + 1 ≤ 14

13 ≤ 14

Next,

3x + 5y < 19

3 x 4 + 5 x 1 < 19

12 + 5 < 19

17 < 19

Here,

(4, 1) is the solution for the given inequalities

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Answer:

y ≥ -5 and y > 7

Step-by-step explanation:

Collect like terms

-y ≤ 8 - 3

-y ≤ 5

Divide both sides by -1

-1y/-1 ≤ 5/-1

y ≥ -5

And

y > 9 - 2

y > 7