There are 5 gears connected in a row, the first one is connected to the second one, the second one is connected to the third one, and so on.

If the first gear is rotating clockwise, what direction is the fifth gear turning?

Answer: C (-2,1)

Step-by-step explanation:

Answer:

x = -45

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Multiply 5 to both sides:

(x/5) * 5 = (-9) * 5

x = -9 * 5

x = -45

x = -45 is your answer.

~

Steps to solve:

x/5 = -9

~Multiply 5 to both sides

x/5 * 5 = -9 * 5

~Simplify

x = -45

Best of Luck!

Answer: The median will provide a better description of the center because the median is the middle number.

Step-by-step explanation:

Answer: Erin needs to babysit for 20 hours in order for her to meet her goal.

Step-by-step explanation:

7.50h < 150  divide each side of the equation by 7.50

h=20

Answer:

Step-by-step explanation:

Answer:

200cm³

Step-by-step explanation:

Volume=[tex]\frac{LXBXH}{3}[/tex]

so 10×10×6=600

600÷3=200

Hello!

[tex]\boxed{ \bf w~=~4}[/tex]

________________________________________________

7(w + 9) = 91

First, we must multiply everything in the brackets by 7.

= 7(w) + 7(9) = 91

= 7w + 63 = 91

Now, we must solve for w. To do this, we will need to isolate it by perfoming the opposite operation on 63. Since it is +63, we'll need to subtract it from both sides of the equation.

= 7w + 63 = 91

         - 63   - 63

7w = 28

Since w is being multiplied, we'll have to perform the opposite operation (which is division).

[tex]\frac{7w}{7} = \frac{28}{7}[/tex]

w = 4

The right answer is 4.

look at the attached picture

Hope it will be helpful to you..

Answer:

1= 8

3= 12

5= 16

7= 20

9= 24

Step-by-step explanation:

1+3=4x2=8

3+3=6x2=12

5+3=8x2=16

9+3=12x2=24

ANSWER:1=8

3=12

5=16

7=20

9=24

step -by - step explanation: 1+3=4×2=8

3+3=6×2=12

5+3=8×2=16

9+3=12×2=24

Answer:

-25n-2

Step-by-step explanation:

-2(-5n+6)+5(2-7n)

-(-2×5n+2×6)+(-5×7n+5×2)

Answer:

Her account balance at the end of 2 years is $257.5.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

[tex]T = E + P[/tex]

In this question:

Deposit of $250, so [tex]P = 250[/tex]

Interest rate of 1.5%, so [tex]I = 0.015[/tex]

2 years, so [tex]t = 2[/tex]

Amount of interest earned:

[tex]E = P*I*t = 250*0.015*2 = 7.5[/tex]

Total amount:

[tex]T = E + P = 7.5 + 250 = 257.5[/tex]

Her account balance at the end of 2 years is $257.5.

Answer:

C

Step-by-step explanation:

Answer:

The answer is 4.94 (C (If this is wrong I am sorry but I'm pretty sure it is right)

Answer:

For [tex]-2x^2+x[/tex], Leading coefficient is -2, Degree is 2, Constant term is 0

For [tex]9-25x^2+8x[/tex], Leading coefficient is -25, Degree is 2, Constant term is 9

For [tex]x^5+x^3-x^2-1[/tex], Leading coefficient is 1, Degree is 5, Constant term is -1

Step-by-step explanation:

Given:

Polynomials:

[tex]-2x^2+x\\9-25x^2+8x\\x^5+x^3-x^2-1[/tex]

To find: leading coefficient, constant term and degree

Solution:

Leading coefficient is the coefficient of the variable with the highest power.

Degree is the highest power of the variable.

The term of degree 0 is the constant term of a polynomial.

For [tex]-2x^2+x[/tex],

Leading coefficient is -2

Degree is 2

Constant term is 0

For [tex]9-25x^2+8x[/tex]

Leading coefficient is -25

Degree is 2

Constant term is 9

For [tex]x^5+x^3-x^2-1[/tex]

Leading coefficient is 1

Degree is 5

Constant term is -1

Answer:

θ = π/3 and 5π/3

Step-by-step explanation:

x = r cos θ and y = r sin θ.  Therefore:

dy/dx = (dy/dθ) / (dx/dθ)

dy/dx = (r cos θ + r' sin θ) / (-r sin θ + r' cos θ)

In this case, r = 1 + cos θ and r' = -sin θ.

dy/dx = ((1 + cos θ) cos θ + (-sin θ) sin θ) / (-(1 + cos θ) sin θ + (-sin θ) cos θ)

dy/dx = (cos θ + cos²θ − sin²θ) / (-sin θ − sin θ cos θ − sin θ cos θ)

dy/dx = (cos θ + cos²θ − (1 − cos²θ)) / (-sin θ (1 + 2 cos θ))

dy/dx = (cos θ + 2 cos²θ − 1) / (-sin θ (1 + 2 cos θ))

The tangent line is horizontal when the numerator of dy/dx is 0 and the denominator of dy/dx is not 0.

0 = 2 cos²θ + cos θ − 1

0 = (cos θ + 1) (2 cos θ − 1)

cos θ = -1 or 1/2

θ = π/3, π, 5π/3

0 = -sin θ (1 + 2 cos θ)

sin θ = 0 or cos θ = -1/2

θ = 0, 2π/3, π, 4π/3

Therefore, the answer is θ = π/3 and 5π/3.

Answer:

Step-by-step explanation:

First of all, a continuous variable only admits whole numbers, not decimals.

Now, in statitics, there are several way to reprepsent some data collected from a survey. The most popular tool are bar-graphs or histograms, they are used to show frequency distributions through graphs, where we use interval classes.

Therefore, the right answer is a.

Answer:

0.9%

Step-by-step explanation:

To find the percentage increase, you can use the following formula:

Percentage change= ((Final price-Initial price)/Initial price)*100

Initial price= $9.53

Final price= $9.62

Variation= ((9.62-9.53)/9.53)*100

Variation= 0.9%

According to this, the percentage increase is 0.9%.

Answer:

Integer; - 12

Step-by-step explanation:

If we are considering a situation were there is a drop in temperature, this integer representation would contain a negative;

At the same time the temperature drops by 12 degrees ( ° ) such that this integer is;

Answer; - 12

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The median is the middle number in a set of numbers.

First what we need to do is put the numbers from least to greatest (ascending order).

1, 2, 10,6, 4, 4, 6, 3, 1, 4

1, 1, 2, 3, 4, 4, 4, 6, 6, 10

Now that we have ordered them, which one(s) is/are in the middle?

We have two numbers that share the middle. They are 4 and 4.

In cases where two numbers share the middle, we average them out. We do this by adding our two numbers together and then dividing by 2.

4 + 4 = 8

8 ÷ 2 = 4

Therefore our median is 4!

Answer:

A= 185.12 ft²

C=  12.56 ft

Step-by-step explanation:

Area of rectangle is 160 ft²

Area of semi-circle is 25.12 ft²

3.14*4*4=3.14*16=50.24

50.24/2=25.12

160+100.48=260.48 ft² ≈260.5 ft²

3.14*4=12.56

Answer:

185.136

Step-by-step explanation:

20×8=160ft²

3.142×4²= 50.272

50.272÷2=25.136

160+25.146= 185.136

Answer: (2,4) They bought 2 sodas and 4 coffees.

Step-by-step explanation:

A. c + s=6  where c is the number of coffee and s is the number of sodas

B. 1.50c + 1.20s =8.40

C. -1.50 (c    +  s) =6(-1.50)   we will multiply the first equation by -1.50 to eliminate the c

 New equation;  -1.50 - 1.50s = -9         -0.3s/-0.3=-0.6/-0.3  s=2  

                            -150 +  1.20s = 8.40          

So we know they bought 2 sodas.   so we will plot 2 into the equation.

1.50c  + 1.20(2)=8.40   c= 4  

Answer:

x = 26.45

Step-by-step explanation:

Cos theta = adjacent side / hypotenuse

cos 50 = 17 /x

Switch the x and the cos 50

x = 17 / cos 50

x =26.44730506

Rounding to 2 decimal places

x = 26.45

Answer:

Step-by-step explanation:

Circumference pf base of cone = 24 inches

2πr = 24

[tex]r=\frac{24}{2\pi}\\\\r=\frac{12}{\pi}[/tex]

Lateral surface area = πrl

[tex]=\pi *\frac{12}{\pi }*20\\\\=12*20\\[/tex]

= 240 square inches

Answer:

240 square inches

Step-by-step explanation:

Answer:

x=6   x=3

Step-by-step explanation:

x^2-9x+18=0

Factor

What 2 numbers multiply to 18 and add to -9

-6*-3 = 18

-6-3 = -9

(x-6) (x-3) =0

Using the zero product property

x-6 =0  x-3 =0

x=6   x=3

Answer:

2 and 5

Step-by-step explanation:

hope this helps :)

Answer: x=4

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

6x+2=26

Subtract 2 from both sides to isolate the variable

6x=24

Divide by 6

x=4

Answer:

In about 9 months the population of the towns will be equal.

Step-by-step explanation:

The population of both cities, after t months, can be modeled by linear functions.

Town A:

Population of 53330.

About 75 people move out of the town each month. Each​ month, 175 people on average move into town.

So, after t months, the population will be:

[tex]A(t) = 53300 + (175 - 75)t[/tex]

[tex]A(t) = 53300 + 100t[/tex]

Town B:

Population of 55,825.

An average of 175 people moving away every month.

So, after t months, the population will be:

[tex]B(t) = 55825 - 175t[/tex]

In about how many months will the populations of the towns be​ equal?

This is t for which:

[tex]A(t) = B(t)[/tex]

[tex]53300 + 100t = 55825 - 175t[/tex]

[tex]275t = 2525[/tex]

[tex]t = \frac{2525}{275}[/tex]

[tex]t = 9.18[/tex]

Rounding to the nearest number

In about 9 months the population of the towns will be equal.

Answer:

1. 48 + 86 + + Q = 180

2. 46 degrees

3. They are congruent

Step-by-step explanation:

I just got them right on edg

Angle sum property (In ΔPQR, ∠P + ∠Q + ∠R = 180°) can be used to determine the measure of angle Q.

Using angle sum property, ∠Y = 46°.

It can be concluded that ∠Y = ∠Q.

The angle sum property of a triangle states that the sum of the angles of a triangle is equal to 180º.

In ΔPQR,

∠P + ∠Q + ∠R = 180° (angle sum property)

86 + ∠Q + 48 = 180

∠Q = 180 - 86 - 48 = 46°

In ΔXYZ,

∠X + ∠Y + ∠Z = 180° (angle sum property)

86 + ∠Y + 48 = 180

∠Y = 180 - 86 - 48 = 46°

As visible, ∠Q = ∠Y.

Learn more about angle sum property here

https://brainly.com/question/4316040

#SPJ3

Answer:

The sum of all the angles of any triangle is 180°

So, 180 - (53 + 48) = 180 - 101 = 79

<SRT = 79°

Answer:

B

Step-by-step explanation:

i took the unit test <3

Answer:

61 degrees is the missing angle measure

Step-by-step explanation:

[tex]cos^{-1} (\frac{15}{31})[/tex]     Use this equation to find the missing angle

61 degrees is the missing angle measure

If this asnwer is correct, please make me Brainliest!