let (-3,-7) be a point on the terminal side of theta. find the exact values of sin theta, sec theta, and tan theta

Answer:

(C)[tex]-6x+8(-x+6) = 6[/tex]

Step-by-step explanation:

Given the system of equations

[tex]x+y=6 \\-6x+8y = 6[/tex]

From the first equation:

x+y=6

Making y the subject, we have:

y=-x+6

Substituting y=-x+6 into the second equation, we obtain:

[tex]-6x+8(-x+6) = 6[/tex]

The correct option is C.

NOTE: The goal of substitution is to reduce the number of unknown variables to 1. Therefore, after the substitution, if you still have the two unknown, you might have done something incorrect.

Answer:

The second and fourth statements are correct.

Step-by-step explanation:

We are given the function for the graph of:

[tex]y=-(x-0.5)^2+9[/tex]

Note that this is a quadratic function in its vertex form, given by:

[tex]y=a(x-h)^2+k[/tex]

Where a is the leading coefficient and (h, k) is the vertex.

Rewriting our given equation yields:
[tex]\displaystyle y = (-1)(x-(0.5))^2 + (9)[/tex]

Therefore, a = -1, h = 0.5, and k = 9.

Therefore, the vertex of the graph is at (0.5 ,9).

Because the leading coefficient is negative, the parabola opens downwards.

Therefore, the parabola has a maximum value.

In conclusion, the second and fourth statements are correct.

1. the vertex is (0.5, 9)

2. it has a maximum.

After translating the expression I got:

[tex] \frac{3}{4} x < 24[/tex]

Once you cross multiply you should have the following expression:

[tex]x < 32[/tex]

Then when you graph, remember it should be an open circle on the 32 and the direction of the arrow should be towards 0

Answer:

D

Step-by-step explanation:

just took the test

Hey There!!

Your correct choice will be C.

Step-by-step explanation:

Because, The cosine function is just the sine function translated 90° to the left, so it's a sinusoid. So, They named after the function sine. By ♡Itsbrazts♡

Answer:

Step-by-step explanation:

y=cos(x)-2

Answer:

two I have no idea of the question

Answer:  49 ways

Step-by-step explanation:  7 possible ways up, 7 ways  down

Up and back on Rt 1, Up on Rt 1 down on Rt2 Up on  Rt 1 down on Rt3. .  . . .  Up on Rt 7, down on Rt7

You can imagine what was left out of the explanation.

Just Multiply 7×7 = 49

Answer:

27 - c

Step-by-step explanation:

less than means it comes after and is subtraction

27 - c

Answer:

27-c

Step-by-step explanation:

It is 27-c because it says c less than 27. If it was subtract 27 from c, it would be c-27. but its not

Answer:

$20, 533.33

Step-by-step explanation:

From the question, we are given the following values

Principal = $20000

Rate = 8% = 0.08

Time( in years) = 120days = 4 months = 4/12 years = 1/3 years

Interest = Principal × Rate × Time

Interest = 20,000 × 0.08× (1/4)

Interest = $533.33

Hence, the proceeds to Aster Corporation are

$20000 + $533.33

= $20,533.33

Answer:

Number of ways to chose bracelet = 2 ways

Step-by-step explanation:

Given:

Total number of bracelet = 3

Y is chosen first

Find:

Number of ways to chose bracelet

Computation:

Y is chosen first so remain number of bracelet is 2

So,

Number of ways to chose bracelet = !2

Number of ways to chose bracelet = 2 × 1

Number of ways to chose bracelet = 2 ways

Answer:

Approximately 9 units.

Step-by-step explanation:

To find the distance between two ordered pairs, we can use the distance formula. The distance formula is:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

Let (2,-3) be x₁ and y₁ respectively, and let (-4,4) be x₂ and y₂, respectively.

[tex]d=\sqrt{(-4-2)^2+(4--3)^2} \\d=\sqrt{(-6)^2+(7)^2} \\d=\sqrt{36+49} \\d=\sqrt{85}\approx9[/tex]

Answer:

[tex]x=\frac{-5+\sqrt{33} }{2}[/tex]

[tex]x=\frac{-5-\sqrt{33} }{2}[/tex]

Step-by-step explanation:

Using the quadratic formula in which a=1, b=5 and c=-2

[tex]x_1=\frac{-b+\sqrt{b^{2}-4ac } }{2a} \\x_2=\frac{-b-\sqrt{b^{2}-4ac } }{2a}\\x_1=\frac{-5+\sqrt{5^{2}-4(1)(-2) } }{2(1)}\\x_1=\frac{-5+\sqrt{33} }{21}\\x_2=\frac{-5-\sqrt{25+8 } }{2}\\x_2=\frac{-5-\sqrt{33} }{2}[/tex]

Answer:

I think it's a

Step-by-step explanation:

Because this would ddetermine if the software lab is successfull working.

Answer:

[tex] x = 6.6 [/tex]

Step-by-step explanation:

Given ∆WXY,

<X = 15°

<Y = 23°

y = 10

x = ?

To find side x, use the Law of sines as shown below:

[tex] \frac{x}{sin X} = \frac{y}{sin Y} [/tex]

Plug in the values of y, Y, and X

[tex] \frac{x}{sin 15} = \frac{10}{sin 23} [/tex]

[tex] \frac{x}{0.2588} = \frac{10}{0.3907} [/tex]

Cross multiply

[tex] x*0.3907 = 10*0.2588 [/tex]

Divide both sides by 0.3907 to solve for x

[tex] \frac{x*0.3907}{0.3907} = \frac{10*0.2588}{0.3907} [/tex]

[tex] x = \frac{2.588}{0.3907} [/tex]

[tex] x = 6.624 [/tex]

[tex] x = 6.6 [/tex] (to nearest tenth)

Answer:

$3.60

Step-by-step explanation:

Convert the percentage to a decimal.

2% = 0.02

Multiply the cost of the dress by the decimal to find the sales tax.

$180 × 0.02 = $3.60

The sales tax $3.60.

Answer:

3.60

Step-by-step explanation:

sales tax = cost * tax rate

                = 180 * 2%

                 = 180 * .02

                 =3.60

Answer:

(x + 3)(x - 5)

Step-by-step explanation:

Well to factor  x^2-2x-15,

we need to find 2 numbers that multiply to get -15 and add to get -2.

3*-5 = -15

3x + -5x = -2x

x*x = x^2

Factored (x + 3)(x - 5)

Hope this helps :)

Answer:

(x - 5)(x + 3)

Step-by-step explanation:

Step 1- Find 2 number that multiplies to be -15, but also add to be -2

This would be -5 and 3

-5 * 3 = -15

-5 + 3 = -2

Step 2- write the equation

The equation can be written 2 different ways

1st way- (x - 5)(x + 3)

2nd way- (x + 3)(x - 5)  

Answer:

its answer is a not b

As in Formula

A=3.14*r^2

A =144pift^2

Answer:

144π square feet

Step-by-step explanation:

The garden is shaped like a circle.

To find the area of it we can use the formula of area of a circle.

The formula for area of a circle is:

πr^2

Plug our values in.

π(12)^2

144π

The area of the garden is 144πft^2

Answer:

Ok, i cant drag the endpoints of the segment, but i can tell you how to do it.

First, we know that h(x) joins the points (1, -5) and (9, 1), then h(x) is a line:

h(x) = s*x + b

First, for a line that goes through the points (x1, y1) and (x2, y2), the slope will be:

s = (y2 -y1)/(x2 - x1)

Then in this case, the slope is:

s = (1 - (-5))/(9 - 1) = 0.75

Then we have

h(x) = 0.75*x + b

now, the value of b can be found as:

h(1) = -5 = 0.75*1 - b

b = - 5 - 0.75 = -5.75.

Then our equation is:

h(x) = 0.75*x - 5.75

Now, i gues you want to find the graph of:

y = h(-x)

Then our new function is:

g(x) = h(-x) =  -0.75*x - 5.75.

Now to find the points, we evaluate this function in the same values of x as before.

g(1) = -0.75*1 - 5,75 = -6,5

the point is (1, -6.5)

the second point is when x = 9.

g(9) = -0.75*9 - 5.75 = -12.5

The second point is (9, -12.5)

Answer:

(−6,7) (-1,-2)

Step-by-step explanation:

Khan

Answer:

A

Step-by-step explanation:

Since a coin only has two sides, the test must be referring to the fact that she has a 50, 50 shot at passing.

Answer:

see explanation

Step-by-step explanation:

The restriction a ≠ 0 and b ≠ 0 is applied since division by zero would make

[tex]\frac{a}{b}[/tex] and its reciprocal [tex]\frac{b}{a}[/tex] undefined, thus meaningless

Answer:

m∠DEA = 62° and m∠ADB = 318°

Step-by-step explanation:

[tex]AB\left | \right |DC[/tex], - (Given)

m∠CB = 62° (Given)

we have;

m∠CB ≅ m∠DA (parallel lines congruent arc theorem)

m∠DA = 62° = m∠DEA

m∠DAB = 104° Given

Therefore, m∠AB = 104° - 62° = 42° (sum of angle)

m∠DC = 360 - 62 - 62 - 42 = 194°  (sum of angles around a circle)

m∠ADB = 360° - m∠AB (sum of angles around a circle)

Therefore, m∠ADB = 360° - 42° = 318°

The required angles are;

m∠DEA = 62° and m∠ADB = 318°

Answer:

Real interest rate= 3%

Step-by-step explanation:

Giving the following information:

Suppose you place $10,000 in a retirement fund that earns a nominal interest rate of 8 percent. The inflation rate is 5 percent.

The effect of the inflation rate on the interest rate is counterproductive. The inflation rate diminishes purchasing power.

Real interest rate= nominal interest rate - inflation rate

Real interest rate= 0.08 - 0.05= 0.03

Answer:

0.0003W/cm°C

Step-by-step explanation:

The question is not properly written. Here is the correct question.

The batting wang xiu ying uses to fill quilts has a thermal conductivity rate of 0.03 watts (W) per meter(m) per degree celsius. what is the batting thermal conductivity when w/cm•c

Given the thermal conductivity in W/m°C to be 0.03W/m°C

We are to rewrite the value in W/cm°C

The difference is the unit. The only thing we need to do is to simply convert the unit (metres) in W/m°C to centimeters (cm)

Since 100cm = 1m, 0.03W/m°C can be expressed as shown below;

= 0.03W/m°C

= 0.03 × W/1m×°C

Note that 1m = 100cm, substituting this conversion into the expression, it will become;

= 0.03 × W/100cm × °C

= 0.03/100 × W/cm°C

= 0.0003W/cm°C

Hence the battling thermal conductivity in W/cm°C is 0.0003W/cm°C

Answer:

0.0003W/cm°C

Step-by-step explanation:

Answer:

A. 770,000,000

Step-by-step explanation:

7.7x10^8 First step is to simplify

7.7x100,000,000 Then, multiply

770,000,000

Hope this helps, if it does, please consider giving me brainliest, it will help me a lot. If you still have any questions, feel free to ask.

Have a good day! :)

Answer:

[tex] \boxed{\sf (a + 3)(a + 1)} [/tex]

Step-by-step explanation:

[tex] \sf Factor \: the \: following: \\ \sf \implies {a}^{2} + 4a + 3 \\ \\ \sf The \: factors \: of \: 3 \: that \: sum \: to \: 4 \\ \sf are \: 3 \: and \: 1. \\ \\ \sf So, \\ \sf \implies {a}^{2} + (3 + 1)a + 3 \\ \\ \sf \implies {a}^{2} + 3a + a + 3 \\ \\ \sf \implies a(a + 3) + 1(a + 3) \\ \\ \sf \implies (a + 3)(a + 1) [/tex]

Answer:

18 multiplied by 2/9 = 4

Step-by-step explanation:

To determine the number of almonds that Pete grabbed, you have to multiply how much of the nuts were almonds by the total number of nuts that he grabbed. So,

   2/9 × 18

= 0.2222 × 18

= 4

Pete grabbed 4 almonds out of the 18 mixed nuts that he grabbed.

Hope that helps.

Answer:

Amount of almonds = 18 × [2/9]

Amount of almonds =  4 almonds

Step-by-step explanation:

Given:

Number of mixed nuts = 18

Probability of almonds = 2/9

Find:

Amount of almonds

Computation:

Amount of almonds = Number of mixed nuts × Probability of almonds

Amount of almonds = 18 × [2/9]

Amount of almonds = 36 / 4

Amount of almonds =  4 almonds

Answer: 0.1457

Step-by-step explanation:

Let p be the population proportion.

Given: The proportion of Americans who are afraid to fly is 0.10.

i.e. p= 0.10

Sample size : n= 1100

Sample proportion of Americans who are afraid to fly =[tex]\hat{p}=\dfrac{121}{1100}=0.11[/tex]

We assume that the population is normally distributed

Now, the probability that the sample proportion is more than 0.11:

[tex]P(\hat{p}>0.11)=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}>\dfrac{0.11-0.10}{\sqrt{\dfrac{0.10(0.90)}{1100}}})\\\\=P(z>\dfrac{0.01}{0.0090453})\ \ \ [\because z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}} ]\\\\=P(z>1.1055)\\\\=1-P(z\leq1.055)\\\\=1-0.8543=0.1457\ \ \ [\text{using z-table}][/tex]

Hence, the probability that the sample proportion is more than 0.11 = 0.1457

Answer:

2383.14286

Step-by-step explanation:

The volume of a prism is length times width times height. Since we already know the height and length of the prism, we can divide the volume of the prism by the height and length. This becomes: 50046/3 = 16682. Next we divide by 7: 16682/7 = 2383.14286. Hope this helps!

Answer:

a) 2a + 3c = $44.50

     a + 2c + $25.50

b) $19

Step-by-step explanation:

Simultaneous equations. A = adult. C = children

2a + 3c = $44.50 (EQUATION 1)

a + 2c = $25.50 (EQUATION 2)

Now solve this using the method of elimination:

2a + 3c = $44.50 (EQUATION 1)

a + 2c = $25.50 (EQUATION 2)

Multiply equation 2 by 2 so that both equations have the same a coefficient.

2a + 4c = $51 (NEW EQUATION 2)

Now subtract equation 1 from equation 2:

2a - 2a + 4c - 3c = $51 - $44.50 (2a cancels out)

c = $6.50

Now substitute c into one of the equation, in this case, I'm using original equation 2.

a + 2($6.50) = $25.50

a + $13 = $25.50

a = $12.50

Total cost of one adult and child = $6.50 + $12.50

                                                       = $19

Answer:

option d

Step-by-step explanation:

hope this helps

Answer:

Options (2), (3) and (4) are correct.

Step-by-step explanation:

The given function is f(x) = [tex]-\sqrt[3]{x}[/tex]

1). First derivative of the function = f'(x) = [tex]\frac{d}{dx}(-\sqrt[3]{x} )[/tex]

  f'(x) = [tex]-\frac{1}{3}(x)^{-\frac{2}{3}}[/tex]

  Since derivative is negative, function will be decreasing everywhere.

  Therefore, Option (1) is incorrect.

2). Since value of the function is true for every value of all real values of x.

  Domain of the function is (-∞, ∞).

  Therefore, Option (2) is correct.

3). For the given domain, range of the function will be all real values of y Or (-∞, ∞)

  Therefore, Option (3) is correct.

4). Function 'f' when reflected across x axis, equation of the reflected function will be g(x) = [tex]\sqrt[3]{x}[/tex].

 Therefore, Option (4) is correct.

5). For a point (3, -27),

  -27 = [tex]-\sqrt[3]{3}[/tex]

  Therefore, Option (5) is incorrect.

Answer:

The answer is B, C, and D

Step-by-step explanation:

Hope this helps. :)

Answer:

348 7gb93c9 good morning to you all right place on my bed right now iam not geting the best way u are gonna be in this situation is it was not Halloween but gug batson vocal vox's John b bucko and my dear loving n love u soo hapy that u can go ahead with it is my beauty grl for the kichen and u will not cm to ur 2AM to go to Gangtok and my 7th anniversary of the 4588th 468inches I will not be the 6th of God Amen n and 93feet

Step-by-step explanation:

Queremos encontrar el valor de x que maximiza la expresión dada.

Veremos que el valor de x que maximiza la producción es x = 4.

Tenemos la expresión:

F(x) = -2*x^2 + 16*x + 25

Y queremos maximizarla.

Notar que es una función cuadratica cuyo coeficiente principal es negativo, es decir, el máximo de la función esta en el vertice.

Para una cuadratica generica:

y = a*x^2 + b*x + c

El vertice está en:

x = -b/2a

Entonces en nuestro caso, el vertice va a estar en:

x = -16/(2*-2) = 4

x = 4

Es decir, la producción de cacao será máxima cuando se utilicen 4 toneladas de fertilizante.

Sí quieres aprender más, puedes leer:

https://brainly.com/question/16749550