If 8=x+y and y>0, then x is

Answers

Answer 1

Answer:

x<8

Step-by-step explanation:

We have one equation and one inequation:

8=x+y                      [1]

y>0                          [2]

Solving [1] for 'y' we have:

8=x+y → y = 8-x

If y>0, then 'x' must be less than 0. Given that if 'x' is equal or greater than 8, 'y' will take negative values.

Then: x<8


Related Questions

Is g(x)= 5x-1 an odd function

Answers

Answer:

No

Step-by-step explanation:

g(x)= 5x-1 is the same as g(x)= 5x^1 - 1x^0, which contains one odd power (x^1) and one even power (x^0).  Therefore, g(x)= 5x-1 is neither even nor odd.

Answer:

This is not an odd function.

Step-by-step explanation:

[tex]\text{If}\ f(-x)=f(x)\ \text{then}\ f(x)\ \text{is an even function.}\\\\\text{If}\ f(-x)=-f(x)\ \text{then}\ f(x)\ \text{is an odd function.}[/tex]

======================================================

[tex]g(x)=5x-1\\\\g(-x)=5(-x)-1=-5x-1=-(5x+1)\\\\g(-x)\neq-g(x)\ \wedge\ g(-x)\neq g(x)[/tex]

One leg of an isosceles right triangle measures 5 inches. Rounded to the nearest tenth, what is the approximate length of the hypotenuse?

Answers

Answer:

7.1 inches

Step-by-step explanation:

An Isosceles right triangle is one with two sides equal and the angles equal too.The angles in this case are 45°

For this question, to get the hypotenuse, you apply the Pythagorean relationship where the legs will be represented by a and b where as the hypotenuse will be represented by c.

[tex]a^2+b^2=c^2\\[/tex]

Given;

One leg = 5 inches, but you know that in this triangle, the two sides are equal, hence the other side/leg is 5 inches.

Lets take one side of the triangle as a=5 inches

The other side as b=5 inches

The hypotenuse as c=?

Apply the expression;

[tex]a^2+b^2=c^2\\\\5^2+5^2=c^2\\\\25+25=c^2\\\\50=c^2\\\\c=\sqrt{50} =7.071[/tex]

To the nearest tenth 7.071 = 7.1 inches

A circle with a center at (5,-2) also has the point (8,2) that lies on the circle. What is the equation of the circle?

Answers

Answer:

Step-by-step explanation:

You get the center just by reading the given point.

(x - 5)^2 + (x + 2)^2 = r^2 Notice that the center switches signs.

(8,2) is given so that you can figure out the radius.

The radius uses the distance formula to get from (5,-2) to (8,2)

x1 = 5

x2 = 8

y1 = -2

y2 = 2

==================

formula

d^2 = (x1 - x2)^2 + (y1 - y2)^2

solution

d^2 = (5 - 8)^2 + (-2 - 2)^2

d^2 = (-3)^2 + (-4)^2

d^2 = 9 + 16

d^2 = 25

==================

Answer

(x - 5)^2 + (y + 2)^2  =  25

Which of the following is the equation of a circle whose center is at the origin and whose radius is 4?

Answers

Answer:

x²+y²=16

Step-by-step explanation:

the general equation for a circle is given as :

(x−h)²+(y−k)²=r²

where (h, k) is the coordinate of the center of the circle and r is the radius

in this case h=0, k=0 and r = 4

equation becomes

x²+y²=4²

or

x²+y²=16

Answer: Last option.

Step-by-step explanation:

The equation of a circle in Center-radius form is:

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

Where the center is at the point (h,k) and "r" is the radius.

If the center of this circle is at the origin, means that:

[tex]h=0\\k=0[/tex]

Since the radius is 4, then:

[tex]r=4[/tex]

Now we need to substitute these values into the equation of the circle.

[tex](x-0)^2+(y-0)^2=(4)^2[/tex]

Simplifying the equation, we get:

[tex]x^2+y^2=16[/tex]

This matches with the last option.

. The temperature at noon was -2°F.
At 3:00 P.M. the temperature had
dropped by 9°F. What was the
temperature at 3:00 P.M.?

Answers

Answer:

-11 F

Step-by-step explanation:

The temperature dropping means to subtract

-2 -9

-11

The temperature at 3 pm is -11 F

Answer:-11°F

Step-by-step explanation:

Which system of equations below has no solution?
y = 4x + 5 and y = 4x-5
y = 4x + 5 and 2y = 8x + 10
y = 4x + 5 and y =
x+5
y = 4x + 5 and y = 8x + 10

Answers

Answer:

y = 4x + 5 and y = 4x - 5

Step-by-step explanation:

(1) y = 4x + 5 and (2) y = 4x - 5

substitute (1) to (2):

4x + 5 = 4x - 5         subtract 4x from both sides

5 = -5      FALSE (no solution)

(1) y = 4x + 5 and (2) 2y = 8x + 10

substitute (1) to (2):

2(4x + 5) = 8x + 10          divide both sides by 2

4x + 5 = 4x + 5         subtract 4x from both sides

5 = 5   TRUE (infinitely many solutions)

(1) y = 4x + 5 and (2) y = x + 5

substitute (1) to (2):

4x + 5 = x + 5         subtract 5 from both sides

4x = x          subtract x from both sides

3x = 0         divide both sides by 3

x = 0

Put it to (2):

y = 0 + 5 = 5

One solution (0, 5)

(1) y = 4x + 5 and (2) y = 8x + 10

substitute (1) to (2):

4x + 5 = 8x + 10       subtract 5 from both sides

4x = 8x + 5       subtract 8x from both sides

-4x = 5           divide both sides by (-4)

x = -1.25

Put it to (1):

y = 4(-1.25) + 5 = -5 + 5 = 0

One solution (-1.25, 0)

What is the value of a in the equation a = 2 + 3a + 10?

Answers

Answer:

a= -6

Step-by-step explanation:

Given

a=2+3a+10

In order to find the value of a, we have to isolate a on a single side of the equation

So,

subtracting 3a from both sides

a-3a = 2+10+3a-3a

=>a-3a=12

=> -2a = 12

Dividing both sides by -2

=> -2a/-2 = 12/-2

=> a = -6

The value of a in the given equation is -6 ..

What expression is equivalent to (3x^2-7)

Answers

Answer:

C.(10x^2-4) - (7x^2+3)

In option C,

(10x^2-4) - (7x^2+3) = 10x^2 - 4 - 7x^2 - 3 = 3x^2 - 7

⇒ Option C is correct

Vhat is the equation, in slope-intercept form, of the line
That is perpendicular to the given line and passes through
che point (2, -1)?
y=-23-
y=-2x-
y = 3x - 3
10 y = 3x - 7

Answers

Answer:

Step-by-step explanation:

There is no given equation, so it is impossible to figure this out. I apologize.

Geoffrey needs to find the circumference of a circle. Which process should he use?

A He should multiply the diameter times 2 and then multiply the result by 3.14.

B He should multiply the radius times 2 and then multiply the result by 3.14.

C He should square the diameter and then multiply the result by 3.14.

D He should square the radius and then multiply the result by 3.14.

Answers

Answer:

[tex]2 \times 3.14 \times radius[/tex]

B

Answer:

The process he should use in order to find the circumference of a circle is that he should find the radius and multiply the radius by 2 and then afterwards multiply the product by pi or 3.14. This is because the circumference of a circle is formulated as C = 2πr or C = 2(3.14)r.

Step-by-step explanation

with that being said the answer should be B

which value of the 9 ten times in the number 920

Answers

Answer:

9000. the value of 9 in 920 is 900. and ten times anything is basically just adding a 0. so ten times 900 is 9000.

Step-by-step explanation:

Please mark brainliest and have a great day!

If 2p+q=11 and p+2q=13, then p+q =

Answers

Answer:

the desired result is (p + q) = (3 + 5) = 8

Step-by-step explanation:

Let's solve this system of linear equations in the usual way:  find the values of p and q.  Then find (p + q) as a numerical result.

Solve:

2p+q=11

p+2q=13

Multiply the second equation by -2:

2p + q = 11

-2p - 4q = -26

Combining these two equations results in -3q = -15, and so q must be 5.

Subbing 5 for q in the first equation, we get:

2p + 5 = 11, or 2p = 6.  Then p = 3.

Then the desired result is (p + q) = (3 + 5) = 8

The required answer is  p + q is equal to 8 by  solving systems of equations 2p+q=11 and p+2q=13. The required sum is 8.

To find the value of p + q, we can use the given system of equations:

Equation 1: 2p + q = 11

Equation 2: p + 2q = 13

We can solve this system of equations by either the substitution method or the elimination method. Let's use the elimination method:

Multiply Equation 1 by 2:

2(2p + q) = 2(11)

4p + 2q = 22 ...(Equation 3)

Subtract Equation 2 from Equation 3:

(4p + 2q) - (p + 2q) = 22 - 13

4p + 2q - p - 2q = 9

3p = 9

Divide both sides by 3 to solve for p:

p = 9 / 3

p = 3

Now substitute the value of p back into Equation 1:

2(3) + q = 11

6 + q = 11

Subtract 6 from both sides to solve for q:

q = 11 - 6

q = 5

Finally, we can find p + q:

p + q = 3 + 5

p + q = 8

Therefore, p + q is equal to 8 solving systems of equations 2p+q=11 and p+2q=13. The required sum is 8.

Learn more about solving systems of equations here:

https://brainly.com/question/27905123

#SPJ2

Can someone please help me out here ?

Answers

Answer:

D

Step-by-step explanation:

Since its less then the circle is open and the arrow goes to the left. The circle must be on -1. The answer is D.

Arjun is building a frame for his father's painting. Which measurement will tell him the minimum amount of wood that he
will need to build the frame?

A.the perimeter of the painting

B.the volume of the painting

C.the width of the painting

D.the area of the painting

Answers

Answer:

A

Step-by-step explanation:

measurement will tell him the minimum amount of wood that he will need to build the frame by the perimeter of the painting

The correct option is (A).

What is Perimeter?

The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape.

As Arjun need to build the frame for the painting.

For framing  or fencing we generally use the concept of Perimeter.

For example,

Let us consider an example.

David wants to put a fence around his farm so that his sheep will not wander away.

He wants to know how much wire he would need to fence around his farm.

The shape of the field is rectangular.

Now, if we add the distance of all 4 sides of his farm, it will give us the perimeter.

Learn more about perimeter here:

https://brainly.com/question/6465134

#SPJ2

The slope of the line below is 2. Which of the following is the point-slope form
of the line?
(1,-1)

A. Y+1 = -2(x - 1)
B. y-1 = 2(x+1)
c. y-1 =-2(x+1)
D. y+ 1 = 2(x-1)​

Answers

Answer:

D

Step-by-step explanation:

point-slope form is y-y1=m(x-x1) . since the slope is 2 and not -2, you can automatically eliminate choices A and C. since the y-value in the point, (1,-1), is -1, you will add it to y because you are subtracting a negative. (- - = +) therefore, the final equation, in point-slope form, is y+1=2(x-1), or answer choice D.

Y-(-1) = 2(x-1)

Y+1 = 2x-2

Y= 2x-3

Hope this helps!

HELP Geometry can someone help

Answers

ANSWER

B'(5,-2).

EXPLANATION

The coordinates of B are (-2,5).

We want to find the image of this point after a reflection in the line y=x.

The mapping is

[tex](x,y)\to (y,x)[/tex]

We just have to swap the ordered pairs.

[tex]( - 2,5)\to (5, - 2)[/tex]

Hence the image of B(-2,5) is B'(5,-2).

The correct answer is (5,-2).

Dan has the same number of nickels and dimes in his piggy bank. If the total amount of those coins is $0.90, how many of each coin does he have?

Answers

Hello There!

n - d = 0

5n+10d = 90

----------------------

n-d = 0

n+2d = 18

-------------------

Subtract and solve for "d":

3d = 18

d = 6 (# of dimes)

n = d = 6 (# of nickels)


In your lab, a substance's temperature has been observed to follow the function T(x) = (x − 2)3 + 8. The turning point of the graph is where the substance changes from a solid to a liquid. Using complete sentences in your written answer, explain to your fellow scientists how to find the turning point of this function. Hint: The turning point of the graph is similar to the vertex of a quadratic function. (10 points). Please help

Answers

Answer:

The turning point is (2,8)

Step-by-step explanation:

we know that

The general equation of the substance's temperature is equal to

[tex]T(x)=(x-h)^{3}+k[/tex]

where

(h,k) is the vertex (turning point)

In this problem we have

[tex]T(x)=(x-2)^{3}+8[/tex]

so

(h,k)=(2,8)

therefore

The turning point is (2,8)

Which of the following vectors are orthogonal to (2,1)? Check all that apply.
A. (1,-2)
B. (-3,6)
C. (1,2)
D. (-2,-3)

Answers

Answer:

A. (1,-2)

B. (-3,6)

Step-by-step explanation:

we know that

If two vectors are orthogonal, then the dot product ( or scalar product) of the vectors is equal to zero

so

Let

a (x1,y1)  and b(x2,y2)

The dot product is equal to

a.b=(x1*x2+y1*y2)

Verify each case

case A) (2,1) with (1,-2)

(2,1).(1,-2)=(2)*(1)+(1)(-2)=2-2=0

therefore

(1,-2) is orthogonal to the given vector

case B) (2,1) with (-3,6)

(2,1).(-3,6)=(2)*(-3)+(1)(6)=-6+6=0

therefore

(-3,6) is orthogonal to the given vector

case C) (2,1) with (1,2)

(2,1).(1,2)=(2)*(1)+(1)(2)=2+2=4

therefore

(1,2) is not orthogonal to the given vector

case D) (2,1) with (-2,3)

(2,1).(-2,3)=(2)*(-2)+(1)(3)=-4+3=-1

therefore

(-2,3) is not orthogonal to the given vector

Answer: B, D, E

On EDGE

Step-by-step explanation:

Write the following phrase as an expression.
half of n

Answers

Translating the half to symbols would be 1/2. Therefore, your answer is 1/2(n)

Hope this helps!

Answer:

1/2n

Step-by-step explanation:

half of n

of means multiply

1/2 * n

n/2

9(x-2) + 3(5-2x) = 2

Answers

9x -18 + 15 -6x = 2
3x -3= 2
3x= 5
X= 5/3

Hope this helps!

First you must distribute the numbers outside the parentheses to the numbers inside the parentheses

Let's start with the first one:

9(x-2) + 3(5-2x) = 2

9(x - 2)  

9*x + 9*-2

9x + (-18)

9x - 18

so...

9x - 18 +  3(5-2x) = 2

Now on to the second set of parentheses:

9x - 18 + 3(5-2x) = 2

3(5 - 2x)

3*5 + 3*-2x

15 + (-6x)

15 - 6x

so...

9x - 18 + 15 - 6x = 2

Now you must combine like terms. This means the numbers with the same variables must be combined...

First set of like terms:

9x - 18 + 15 - 6x = 2

9x + (-6x)

3x

so...

3x - 18 + 15 = 2

Second set of like terms:

3x - 18 + 15 = 2

-18 + 15

-3

so...

3x - 3 = 2

Now bring -3 to the right side by adding 3 to both sides (what you do on one side you must do to the other). Since -3 is being negative on the left side, addition (the opposite of negative/subtraction) will cancel it out (make it zero) from the left side and bring it over to the right side.

3x + (- 3 + 3) = 2 + 3

3x + 0 =5

3x = 5

Next divide 3 to both sides to finish isolating x. Since 3 is being multiplied by x, division (the opposite of multiplication) will cancel 3 out (in this case it will make 3 one) from the left side and bring it over to the right side.

3x/3 = 5/3

x = [tex]\frac{5}{3}[/tex]

Hope this helped!

~Just a girl in love with Shawn Mendes

there are only blue cubes, yellow cubes and green cubes in a bag there are
three times as many blue cubes as yellow cubes
and five times as many green cubes as blue cubes
sarah takes a random cube from the bag
what is the probability sarah takes out a yellow cube?
give your answer in its simplest form

Answers

Answer:   [tex]\bold{\dfrac{1}{19}}[/tex]

Step-by-step explanation:

Let x represent the quantity of yellow cubes

Yellow: x

Blue: three times yellow --> 3x

Green: five times blue --> 5(3x) = 15x

Yellow + Blue + Green = Total cubes

    x      +   3x  +    15x   =       19x

[tex]Probability=\dfrac{yellow}{total}=\dfrac{x}{19x}=\large\boxed{\dfrac{1}{19}}[/tex]

The probability of Sarah taking out a yellow cube from the bag is 0.7 or 5/7.

What is probability?

The fraction of favorable outcomes of an event to the total number of outcomes of the event is said to be the probability. The fraction can also be written in the simplest form.

P(E)= n(E)/n(S) where E -event, n(E) - favorable outcomes and n(S) is the total outcomes.

Calculation:

It is given that a bag contains blue cubes, yellow cubes, and green cubes.

Consider the number of blue cubes = n

So, the number of yellow cubes = 3 times as many as blue cubes

                                                     = 3n

Then, 5 times as many as green cubes = blue cubes

⇒ number of green cubes = n/5

Then the total number of cubes in the bag

= n + 3n + n/5

⇒ [5n + 15n + n]/5

⇒ 21n/5

Then the probability of taking out a yellow cube = (possible outcomes of a yellow cube)/(total number of cubes)

⇒ [tex]\frac{(3n)}{(21n/5)}[/tex]

⇒ 15n/21n

⇒ 5/7

∴ The probability of taking out a yellow cube = 5/7 = 0.7.

Find more such a probability problems here:

https://brainly.com/question/1229429

#SPJ2

screw it im wiling to give 50 points whoever can answer this question


Jernel has to figure out the area of her square garage. She knows that one side of the garage is equal to the length of her rabbit pen. The dimensions of the rectangular rabbit pen are 18 by 10.What is the area of the garage?

Answers

Answer:

Rabbit pen: 180

Garage: 720

180x4=720

Hope this helps :)

The answer would be 720 if I’m not wrong because one side is 180 because 18x10 is 80! 180x4=720 so Area=720?

Celia simplified the expression - 4x{1-3)-(2x+2). She checked her work by letting X-5 in both expressions. Her work for the
original expression is shown below.

Answers

Answer: I think it is the last one

Step-by-step explanation: if you work it out, it equally 6x-2

Answer:

6x-2

Step-by-step explanation:

[tex]- 4x(1-3)-(2x+2)[/tex]

When x=5 the value of the expression is 28

Now we check with each expression given in the options

Plug in 5 for x in each option

[tex]-6x-1=-6(5)-1=-30-1= -31[/tex]

[tex]-6x+2=-6(5)+2=-30+2= -28[/tex]

[tex]6x+1=6(5)+1=30+1= 31[/tex]

[tex]6x-2=6(5)-2=30-2=28[/tex]

So 6x-2 gives us 28 when x=5

How do you know if something is divisible by four

Answers

Answer:

To test whether or not a number is divisible by 4 is to check to see if the number that’s made from the final two digits of the original number is itself divisible by 4. If it is, then the entire number is divisible by 4 too.

Whole numbers are divisible by 4 if the number formed by the last two individual digits is evenly divisible by 4. For example, the number formed by the last two digits of the number 3628 is 28, which is evenly divisible by 4 so the number 3628 is evenly divisible by 4. I’m pretty sure.

When a nursery owner orders plants from the distributor, 92% of the plants arrive alive. If the nursery owner wants their inventory of a particular plant to be 540 living plants, how many plants should the owner order?

Answers

You must make a [tex]\frac{part}{whole}[/tex] proportion.

92% is part of 100%

540 would need to be the 92% of the plant bought. That means 540 is the part and the whole would be the unknown (let's make this x)

Set up your proportion like so...

[tex]\frac{540}{x} =\frac{92}{100}[/tex]

Cross multiply...

92x = 540 * 100

92x = 54000

Isolate x by dividing 92 to both sides...

92x/92 = 54000/92

x = 586.9565

Since you can't buy a decimal of a plant you will have to round this number up to the next whole number...

587

To have 540 of the plants arrive alive the nursery owner must order 587 plants

Hope this helped!

~Just a girl in love with Shawn Mendes

What is the equation of the following line? Be sure to scroll down first to see all answers options

Answers

Answer:

C. y = -1/2 x

Step-by-step explanation:

Slope = (-2 - 0)/(4 - 0) = -1/2, b = 0

So

y = -1/2 x

Answer:

C

Step-by-step explanation:

By observation, we can see that the slope of the graph is negative (i.e the graph goes from top left to bottom right) hence the number attached to the x-term must be negative. We can see that E and F have positive x-terms, hence these cannot be correct.

Now we are left with A, B, C, D as possible choices.

you are given that point (4, -2) is on the line, hence when x = 4, y must = -2.

Use this knowledge to test each of A, B, C, D to see which one gives y = -2 when we try x = 4

When x = 4

A) -[tex]\frac{1}{4}[/tex] (4) = -1 ≠ -2 (wrong)

B) -2 (4) = -8 ≠ -2 (wrong)

C) -[tex]\frac{1}{2}[/tex](4) = -2 (correct)

D) -4(4) = -16 ≠ -2 (wrong)

the speed of a new microprocessor is 800mhz but a new test of its speed gives a measurement of 820mhz. what is the abolute error? what is the relative error?​

Answers

Hello!

The answers are:

[tex]AbsoluteError=20mhz[/tex]

[tex]RelativeError=2.5(Percent)[/tex]

Why?

To solve the problem we need to remember that the absolute error is the difference between the expected value and the measured value, also, to calculate the relative error we first need to calculate the absolute error, and then, divide it by the expected measure.

So, calculating we have:

[tex]AbsoluteError=Expected-MeasuredValue\\\\AbsoluteError=800mhz-820mhz=-20mhz[/tex]

We can see that we obtained a negative value, however, when we are working with "absolute" values, the negative symbol is discarded, so, we have that:

[tex]AbsoluteError=20mhz[/tex]

Now, to calculate the relative error, we need to use the following formula:

[tex]RelativeError=\frac{AbsoluteError}{ExpectedValue}*100\\\\RelativeError=\frac{20}{800}*100=0.025*100=2.5(Percent)[/tex]

So, we have that the relative error is equal to 2.5%.

Hence, we have that:

[tex]AbsoluteError=20mhz[/tex]

[tex]RelativeError=2.5(Percent)[/tex]

Have a nice day!

Absolute error is 20 MHz and relative error is 2.5%.

Absolute error: Absolute error is the difference between the measured value and the actual value. In this case, the absolute error is 820 MHz - 800 MHz = 20 MHz.

Relative error: Relative error is the ratio of the absolute error to the actual value. The relative error can be calculated as (820 MHz - 800 MHz) / 800 MHz = 0.025 or 2.5%.

please help! i was wondering how you would solve this question!

Answers

Answer:  C.  150 km²

Step-by-step explanation:

Use similar triangle proportion to find x:

[tex]\dfrac{x}{4.5}=\dfrac{15.3+7.4}{7.4}\\\\\\x=\dfrac{4.5(22.7)}{7.4}\\\\\\x=13.8\\\\\text{Notice that x is the diameter of the circle}\implies r=\dfrac{13.8}{2}=6.9\\\\\\\text{Find the area of the circle using }A=\pi r^2\\A=\pi (6.9)^2\\\\.\ =\pi (47.6)\\\\.\ =149.6\\\\.\ \approx150[/tex]

Which geometric object is defined as the set of all points in a plane that are equidistant from the two sides of a given angle ?

A.Parabola

B. Bisector of an angle

C. Circle

D. Hyperbola

Answers

Answer:

B) Bisector of an angle  ~apex

Step-by-step explanation:

Option B is correct, bisector of an angle is defined as the set of all points in a plane that are equidistant from the two sides of a given angle.

What is Coordinate Geometry?

A system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

The bisector of an angle is a straight line or a line segment that divides an angle into two equal angles.

In other words, the bisector of an angle is the set of all points in a plane that are equidistant from the two sides of a given angle.

The geometric object defined as the set of all points in a plane that are equidistant from the two sides of a given angle is the Bisector of an angle.

Hence, bisector of an angle is defined as the set of all points in a plane that are equidistant from the two sides of a given angle.

To learn more on Coordinate system click:

https://brainly.com/question/29762404

#SPJ7

Other Questions
Solve the following system of equations by using the elimination method. 2x + 4y = 8 and 3x 3y = 12 The purpose of both the truman doctrine and the marshall plan was to Find the difference.(9x2 + 10x + 4) (9x2 + 5x 1) 8. Which is the probability that two 1-6 number cubes land on an even number?A 0.75B 0.50C 0.25D 0.10 An ice-cream parlor sells sundaes with 3 different types of ice-cream and 4 different toppings. They have 8 flavors of ice-cream and 10 toppings for their customers to choose from. What is the probability that a customer orders a sundae including vanilla ice-cream and chocolate syrup? In triangle ABC, angle C is a right angle. Find the value of the trig function indicated. Find sin A if b = 8, c = 17, a = 15 Which word from the passage provides a clue to the type of narration being used? A square has an area of 16j^2 + 24j + 9. How can you find the length of the side of the square? is 6/5 grater then 4/5 Phillip has between two hundred and three hundred baseball cards. Which inequalityrepresents this situation?a) p < 300 or p < 200b) 200 < p < 300c) p < 200 and p > 300Od) 200 > p > 300 What is one typical way interest groups participate in the us political process Read the following excerpt from Kabirs Tell me, O Swan, your ancient tale, and answer the question.Which of the following best states an implicit meaning of the excerpt?A) The narrator requests that the Swan follow him this morning.B) There is a better world than this world that is filled with sadness, death, and decay.C) The narrator overhears someone say He is I.D) A bee happily rests on the chest of the narrator. A child throws a ball with an initial speed of 8.00 m/s at an angle of 40.0 above the horizontal. The ball leaves her hand 1.00 m above the ground. What is the magnitude of the ball's velocity just before it hits the ground? Which sentence most accurately describes elections in the United States?A. Out of privacy concerns, the United States no longer uses Australian ballots.B. Some Voters go to polling places, while some submit their ballots by mail.C. Most major elections are conducted using electronic touch screens.D. Ballots are requited to be identical at every level. The __________ feminist approach is based on the assumption that women are exploited by both capitalism and patriarchy. From this approach, womens criminal behavior is linked to gender conflict created by the economic and social struggle that often takes place in postindustrial societies. Describe Lenz's law. What are the systems used to describe how information is stored in the brain? List each. Rank the compounds below from slowest to Fastest rate of hydration. 1) formaldehyde 2) 3,3-dimethyIbutan-2-one 3) propanal 4)3-methylbutan-2-one 5) butan-2-one 7. How does compromise affect healthy relationships?A It makes them stronger.B It helps people understand who is right.C It makes them weaker.D It helps people accept compliments. Which of the following is most likely the next step in the series?