There are 7 seniors on the high school soccer team. Two of them will be
chosen to be co-captains. How many ways are there to choose the co-
captains?
Decide if this is a permutation or a combination, and then find the number of
ways to choose the co-captains.

Answer:

106º

Step-by-step explanation:

Because both the base angles are 74º. The known angles so far are 148º.

The top angles also have to be equal as they are on parallel lines so:

360 - 148 = 212º

212 / 2 = 106º

Answer:

x = 106 degrees

Step-by-step explanation:

74 plus 74 = 148

360 is the interior angle sum of all trapezoids

360-148=212

212 is the sum of both x and y

x and y are the same measure.

212/2 = 106

Answer:

72 is the closest.The printer will primt 80 pages in one minute

Answer:

72

Step-by-step explanation:

12 pgs in 9 sec

*[tex]\frac{20}{3}[/tex]             *[tex]\frac{20}{3}[/tex]

≈80 pgs in 60 sec

Hope this helps!!!

Please mark me as brainliest!!!

Answer:

[tex]\displaystyle z=\frac{5}{2}\biggr(\cos\frac{11\pi}{6}+i\sin\frac{11\pi}{6}\biggr)[/tex]

Step-by-step explanation:

A complex number in polar form is [tex]z=r(\cos\theta+i\sin\theta)[/tex] where [tex]r=\sqrt{x^2+y^2}[/tex] and [tex]\displaystyle \theta=\tan^{-1}\biggr(\frac{y}{x}\biggr)[/tex], thus:

[tex]r=\sqrt{x^2+y^2}=\sqrt{(\frac{5\sqrt{3}}{4})^2+(-\frac{5}{4})^2}=\sqrt{\frac{75}{16}+\frac{25}{16}}=\sqrt{\frac{100}{16}}=\frac{10}{4}=\frac{5}{2}[/tex]

[tex]\displaystyle \theta=\tan^{-1}\biggr(\frac{y}{x}\biggr)=\tan^{-1}\biggr(\frac{-\frac{5}{4}}{\frac{5\sqrt{3}}{4}}\biggr)=\tan^{-1}\biggr(-\frac{\sqrt{3}}{3}\biggr)=\frac{11\pi}{6}[/tex]

Thus, the complex number in polar form is [tex]\displaystyle z=\frac{5}{2}\biggr(\cos\frac{11\pi}{6}+i\sin\frac{11\pi}{6}\biggr)[/tex]

Answer:

  (x +4)² +(y -9)² = 121

Step-by-step explanation:

The equation of a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

__

We are given that (h, k) = (-4, 9) and r = 11. When we put these values into the equation, it becomes ...

  (x -(-4))² +(y -9)² = 11²

We can simplify this a bit to ...

  (x +4)² +(y -9)² = 121

Answer:

Step-by-step explanation:

Emma has £37 in her bank account she starts putting £7 into her account each week write and solve an equation to find how many weeks it will take for emma to have £100 in her bank account r

(100 - 37) : 7 =

63 : 7 = 9

check

37 + 9 * 7 = 100

the answer is good

Answer:

whats the question?

Step-by-step explanation:

Answer: x = 0, x = -3, x = 2

Step-by-step explanation:

f(x) = x^3 + x^2 - 6x

f(x) = 0

x^3 + x^2 - 6x = 0

x(x^2 + x - 6) = 0

x = 0 or

x^2 + x - 6 = 0

D = b^2 - 4ac = 1 - 4*(-6) = 25

x = (-b - sqrt(D))/(2a) = (-1 - 5)/2 = -3 or

x = (-b + sqrt(D))/(2a) = (-1 + 5)/2 = 2

Answer:

x = 9

y = 116

Step-by-step explanation:

116 and y are vertically opposite angles.

Vertically opposite angles are equal.

So,

y = 116

116 and ( 13x - 53 ) are linear pair angles.

Sum of linear pair angles is 180,

13x - 53 + 116 = 180

13x + 63 = 180

Subtract 63 on both sides,

13x = 180 - 63

13x = 117

Divide 13 on both the sides,

x = 117 / 13

x = 9

Quarts they pick altogether 173/24 quarts.

A unit of volume or capacity in the US Customary System, used in liquid measure, equal to 2 pints or 32 ounces (0.946 liter).

Jennifer picked= 1 5/6= 11/6 quarts

Lila picked= 7/4 quarts

Elliott picked =3/2 quarts

Wendie picked= 17/8 quarts

Total quarts they picked together is= 11/6+7/4+3/2+17/8

                                                           = 44+42+36+51/24

                                                           = 173/24 quarts

Hence, they picked 173/24 quarts together.

Learn more about quarts here:

https://brainly.com/question/13798723

#SPJ1

Answer:

4(3)(-2) = -24

Answer:

C) -24

Step-by-step explanation:

Given the expression: 4xy

Substitute the values above for the variables and multiply:

4(3)(-2)

12(-2)

-24

Final answer: -24

Hope this helps!

The correct answer is thermoelectric generator because it transfers heat to electricity directly or converts electrical energy to thermal power for heating or cooling.

Thermoelectric generators are semiconductor solid-state devices that convert a temperature difference and heat flow into a usable DC power source.

The Seebeck effect is used to create voltage in thermoelectric generator semiconductor devices. This voltage is used to drive electrical current and generate usable power at a load.

From the statement given, it is a thermoelectric generator because a thermoelectric power generator transfers heat to electricity directly or converts electrical energy to thermal power for heating or cooling.

Thus, the correct answer is thermoelectric generator because it transfers heat to electricity directly or converts electrical energy to thermal power for heating or cooling.

Learn more about the thermoelectric generator here:

https://brainly.com/question/2289126

#SPJ1

Answer:

Below.

Step-by-step explanation:

(a). The x estimations of the turning points are -1.8 and 1.1, according to the graph.

(b). Where the graph crosses the x axis are the solutions. x = -3, 0, and 2 are the values.

Answer:

See the attached graph

Step-by-step explanation:

The solution is the labelled point of intersection in the graph

Answer:

[tex]y = \frac{x - 3}{2}[/tex]

Step-by-step explanation:

To find the inverse of a function, simply 'switch' the x and y's and solve for y. [tex]y = 2x + 3[/tex] becomes [tex]x = 2y + 3[/tex]. Now, solving for y, we get [tex]y = \frac{x - 3}{2}[/tex].

hope this helped! :)

Answer:

Step-by-step explanation:

Because matrix A has 3 rows, and matrix B has 2 columns, matrix C will be a 3x2 matrix. 3 rows, 2 columns.

Answer:

it is c I hope this helps you.

If Rudy successfully adds $50,000 to the value of his house, his new annual homeowner's insurance premium be c. $1,291.30.

The annual homeowner's insurance premium is the insurance charge that the homeowner pays as an insurance premium annually.

The insurance premium is calculated using some set formulas determined by these factors:

Insurance premium rate = $0.37 per $100

Current insurance premium = $1,106.30

Added value to the house = $50,000

Added premium = $185 ($50,000 x $0.37/$100)

New insurance premium = $1,291.30 ($1,106.30 + $185)

Thus, if Rudy successfully adds $50,000 to the value of his house, his new annual homeowner's insurance premium be c. $1,291.30.

Learn more about the annual homeowner's insurance premium at https://brainly.com/question/26133348

#SPJ4

Answer:

it's C......................

Step-by-step explanation:

i got 100% on egde

Answer:

Then numbers 7 , 8 , 14 , -6 , 10 are output values of the function

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It will take 308 months for Diego to pay the complete loan.

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,

SI = P×T×R

where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.

The interest that will be charged on the principal amount is,

SI = $159,000×30×0.0505 = 240,885

Now, the total amount that Diego needs to pay is the sum of interest and principal, therefore,

Total amount = $159,000 + $240,885 = $399,885

Further, since each month Diego is paying $1300, therefore, the number of months it will take to pay the complete loan is,

Number of months = $399,885/$1300 = 307.6 ≈ 308

Hence, it will take 308 months for Diego to pay the complete loan.

Learn more about Simple Interest:

https://brainly.com/question/2793278

#SPJ1

Step-by-step explanation:

Rearrange the equations to solve.

cos(-3 • pi) = -1

cos((-3pi) / 4 radians) = -0.707

cos(5 • pi) = -1

cos((5pi) / 4 radians) = -0.707

They are the same because when multiplied, they are the same value, and always will be that way. They also have the same identity if you simplify and compare the results of that equation.

The value of cos (-3π/4) and the value of cos (5π/4) are same.

Trigonometric ratios are the ratios which is described for two sides of a right angled triangle.

The main three trigonometric ratios are sine, cosine and tangent functions.

We know that,

cos (-3π/4) = cos (3π/4)

Now,

cos (3π/4) = cos (π + π/4)

And,

cos (5π/4) = cos (π - π/4)

Now, we know that,

cos (π + x) = -cos (x) and cos (π - x) = -cos (x)

So the value of cos (π + π/4) = -cos( π/4) and cos (π - π/4) = -cos( π/4)

Hence cos (3π/4) = cos (5π/4) = -cos( π/4)

Hence both the values are same.

Learn more about Cosine Functions here :

https://brainly.com/question/17954123

#SPJ2

Answer:

there is the answer to your question

Answer:

The range of the function given in the graph is the values of all y for any input x.

Therefore, as shown in the graph the value of y for any input of x is below y = 1. Therefore, the range is y <= 1

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

Use the Intersecting Chords Theorem to solve for x:

[tex]\overline{\rm TP}\cdot\overline{\rm PR}=\overline{\rm QP}\cdot\overline{\rm PS}\\\\(x+3)(x)=(6-x)(2x)\\\\x^2+3x=12x-2x^2\\\\3x^2+3x=12x\\\\3x^2-9x=0\\\\3x(x-3)=0\\\\x=0,\: x=3[/tex]

The solution [tex]x=0[/tex] however, does not make sense because the chords have lengths, so [tex]x=3[/tex] is the only sensible answer.

Intersecting Chords Theorem States:

As Length cannot be zero or negative here. x = 3

The velocity of a particle when it moves on a straight line along the x-axis will be V= 42 m/s

Velocity is defined as the ratio of the distance moved by the object in a particular time. The velocity is a vector quantity so it needs both the magnitude and the direction.  

Here we have a displacement function:-

F(t)=3t⁴-5t³+6t-7

So to find out the velocity we will differentiate the above equation with respect to t.

d(F(t)/dt=12t³-15t²+6

V=12t³-15t²+6

Put the value of t=2 seconds

V=12x(2x2x2)-15x(2x2)+6

V=42 meters per second

Hence the velocity of a particle when it moves on a straight line along the x-axis will be V= 42 m/s

To know more about Velocity follow

https://brainly.com/question/25749514

#SPJ1

Answer: 31.0

Step-by-step explanation:

Answer:

hope this will help you ( ◜‿◝ )♡

Step-by-step explanation:

[tex]volume = \frac{4}{3} \times \pi {r}^{3} \\ = \frac{4}{3} \times 3.14 \times ( {10}^{3} ) \\ = 4186.666mm {}^{3} [/tex]

[tex]\large\boxed{\bold{Formula:V= \frac{4}{3}\pi{r}^{3}}}[/tex]

[tex]\large\boxed{\bold{\red\pi\red=\red3\red.\red1\red4}}[/tex]

In this question the radius is given so we'll simply have to substitute and solve.

Let's solve!

Instead of π we are asked to use 3.14

Substitute the values according to the formula.

[tex]V= \frac{4}{3}\times 3.14 \times {10}^{3}[/tex]

Calculator value:

[tex]\bold{V= 4186.666667 \: {mm}^{3}}[/tex]

Now, we have to round off to the nearest hundredth.

The value in the thousandths place is greater than 5 so we'll have to round up by adding 1 to the hundredths place.

Final answer:

[tex]\large\boxed{\bold{V= 4186.67 \: {mm}^{3}}}[/tex]

Hence, the volume of the given sphere is 4186.67 cubic millimeters.

6 full teams will be made.

If you take 62 and divide it by 9, you'll get a value of 6.88... or it can also be notated as 6 remainder 8. You will be able to make 6 full teams but your last team will only have 8 members, which does not have the full 9 members.