To plan for packing, Ana thought about what she might want to bring. Ana knew that she wanted to have three tops for every two bottoms she brought. What would be the ratio of bottoms to tops?

A nine cubic millimeters

The volume of a cube with each dimension being 3 mm is obtained by multiplying the length, width, and height which results in 27 cubic millimeters. So the correct answer is C) 27 cubic millimeters.

To solve for the volume of a cube, the formula Volume = Length x Width x Height is used. In the case given, all three dimensions (length, width, and height) are 3 mm. This results in Volume = 3 mm x 3 mm x 3 mm which simplifies to 27 cubic millimeters.

Hence, the correct option is C) 27 cubic millimeters.

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Answer:

Step-by-step explanation:

First triangle is a 45-45-90 triangle.  In most basic form, the two equal sides have length 1 and the hypotenuse has length √2.  Do not write x√2.

Second triangle:  The shortest side is 1, the longer side is √3 and the hypotenuse is 2.  You could verify this using the Pythagorean Theorem:

2² = 1² + (√3)² is true.

Please, no more than 2 problems per post.  Please re-post the remaining problems and either I or someone else will help you with them.

Answer:

Yes, because the total will be $37.50

(cool profile pic)

Step-by-step explanation:

Yes, because the total will be $37.50

Answer:

190,208

Step-by-step explanation:

732,178 + 167 = 732345

732345 -  542,137 = 190,208

190,208

Step by Step

732178+167=732345

732345-542137=190208

Answer:

5 miles per hour

Step-by-step explanation:

You divide 15/3 and get 5.

Answer:

5 miles per hour

Step-by-step explanation:

To determine how fast he can run per hour, take the miles and divide by the number of hours

15 miles / 3 hours

5 miles per hour

Answer:

Step-by-step explanation:

The perimeter is the arc length plus the two radius lines.

Arc length is:

s = (θ/360) 2πr

So the perimeter is:

P = (θ/360) 2πr + 2r

Given that θ=135 and r = 11:

P = (135/360) 2π(11) + 2(11)

P = 8.25π + 22

P ≈ 47.9

So the perimeter is greater than 47.5 cm.

Answer:

Step-by-step explanation:

Ok so first we need to look and rule out the ones that are not correct like 9m and 5m. ok now we ruled out 2 of the wrong ones and now we have 90m and it looks like a 45m. now we multiply 5 x 2 x 9 which equals 90. so the answer is 90.

                        Hope it helps!

Answer:

45

Step-by-step explanation:

with triangles you have to do base times height and divide by 2 so 5*9*2=90 and 90 divided by 2 is 45

Answer:

The range of a function is the set of all possible output values.

Answer: any numbers along the x axis

Step-by-step explanation:

The answer choice is D because sin7pi/6 which it’s exact form is -1/2 the only answer choice which the same exact form is D.

For this case we must find an expression equivalent to:

[tex]Sin (\frac {7 \pi} {6})[/tex]

According to the unit circle, [tex]\frac {7 \pi} {6}[/tex] is in the third quadrant and equals 210 degrees.

Then, we must find an expression equivalent to:

[tex]Sin (210) = - \frac {1} {2} = - 0.5[/tex]

We have to:

[tex]\frac{11 \pi} {6}[/tex]

It is in the fourth quadrant and is equivalent to 330 degrees, according to the unit circle.

[tex]Sin (330) = - \frac {1} {2} = - 0.5[/tex]

Answer:

Option D

Answer:

5

Step-by-step explanation:

Given a complex number x + yi then the conjugate is x - yi

Note the real part remains unchanged while the sign of the imaginary part is negated.

here z = 1 - 2i hence conjugate is 1 + 2i

and the product is

(1 - 2i)(1 + 2i) ← expand factors

= 1 - 4i² [ i² = - 1 ]

= 1 + 4

= 5

The product of z and its conjugate will be 5.

The complex number is the combination of the real part and the imaginary part. Then the complex number is given as

⇒ a+bi

In the graph, z is a complex number represented as a vector from the origin.

Then the complex number will be

z = 1 – 2i

Then the conjugate of z will be

⇒ 1 + 2i

Then the product of z and its conjugate will be

⇒ (1 – 2i)(1 + 2i)

⇒ 1² – 2²i²

We know i² = -1

⇒ 1 – 4(-1)

⇒ 1 + 4

⇒ 1² – 2²i²

⇒ 5

More about the complex number link is given below.

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Answer:

2in

Step-by-step explanation:

Let's call the original side "x". so x² (area of a square) is = x² (as we can't simplify it). Then we got a 4 added to each side. So now we redefine each side as "x+4". So now we can make an equation of the area of the square. x² + 4² = 36. Now you realize that 36 is 6² so you write it. x² + 4² = 6² . Since everything is now a square just square root everything (√) So Now x + 4 = 6. Now you have a 1st degree equation now solve simple math. x = 6 - 4 = 2. The side of original square is 2in

Answer:

C.Ralph would save more, since he has $30,000 more in principal

Step-by-step explanation:

The amount of interest each will pay (or save) on his loan is proportional to the amount of principal. Since Ralph's principal of $98000 is more than David's principal of $68000, Ralph will save more by paying off the loan early.

To simplify 4(6r+3) + 2(r + 2), distribute the coefficients, combine like terms, resulting in the simplified expression 26r + 16.

To simplify the expression 4(6r+3) + 2(r + 2), we need to distribute the multiplication over the addition inside the parentheses and then combine like terms.

Distribute the 4 into the first set of parentheses: 4 × 6r = 24r and 4 × 3 = 12.

Do the same with the 2 into the second set of parentheses: 2 × r = 2r and 2 × 2 = 4.

Now, combine the individual terms: The expression becomes 24r + 12 + 2r + 4.

Combine like terms (24r and 2r) and constants (12 and 4): 24r + 2r = 26r and 12 + 4 = 16.

The simplified expression is therefore 26r + 16.

First, let's get out common denominators.

8/12 and 3/12.

We then minus the 8 and 3 = 5/12.

We have 5/12.

That's your answer.

Answer:

a = 70°

Step-by-step explanation:

a and 110 form a straight angle, thus

a + 110 = 180 ( subtract 110 from both sides )

a = 70°

Answer:

a =70

Step-by-step explanation:

Angle a and 110 are supplementary, which means they add to 180 degrees

a+ 110 = 180

Subtract 110 from each side

a+110-100=180-110

a = 70

Answer:2

Step-by-step explanation:

Answer:

Its 3

Step-by-step explanation:

10- 4 = 6

2 x ? = 6

2 x 3 = 6

Answer:

The position P is:

[tex]P = 87\^x + 75\^y[/tex] ft     Remember that the position is a vector. Observe the attached image

Step-by-step explanation:

The equation that describes the height as a function of time of an object that moves in a parabolic trajectory with an initial velocity [tex]s_0[/tex] is:

[tex]y(t) = y_0 + s_0t -16t ^ 2[/tex]

Where [tex]y_0[/tex] is the initial height = 0 for this case

We know that the initial velocity is:

82 ft/sec at an angle of 58 ° with respect to the ground.

So:

[tex]s_0 = 82sin(58\°)[/tex] ft/sec

[tex]s_0 = 69.54[/tex] ft/sec

Thus

[tex]y(t) = 69.54t -16t ^ 2[/tex]

The height after 2 sec is:

[tex]y(2) = 69.54 (2) -16 (2) ^ 2[/tex]

[tex]y(2) = 75\ ft[/tex]

Then the equation that describes the horizontal position of the ball is

[tex]X(t) = X_0 + s_0t[/tex]

Where

[tex]X_ 0 = 0[/tex] for this case

[tex]s_0 = 82cos(58\°)[/tex] ft / sec

[tex]s_0 = 43.45[/tex] ft/sec

So

[tex]X(t) = 43.45t[/tex]

After 2 seconds the horizontal distance reached by the ball is:

[tex]X (2) = 43.45(2)\\\\X (2) = 87\ ft[/tex]

Finally the vector position P is:

[tex]P = 87\^x + 75\^y[/tex] ft

#1 : reflected over y-axis, so x changes signs and becomes negative (-5, -2)

translated 4 units up, so move the point up 4 units/squares  (-5, 2)

#2 translated right 10 units, so the points move right 10 squares (15, -2)

reflected over x-axis, so y changes signs (15, -2)

#3 translated left 10 units (-5, -2)

up 4 units (-5, 2)

#4 reflected over the y -axis (-5, -2)

translated down 4 units (-5, -6)

Answer:

1 and 3

Step-by-step explanation:

The equation x = 3 represents a vertical line, but not a linear function, as it violates the definition of a function. Thus, the correct choice is D.

The equation x = 3 describes a vertical line passing through the point where x equals 3 on the coordinate plane.

While it represents a line, it fails to meet the criteria of a function because it violates the one-to-one mapping between inputs (x-values) and outputs (y-values).

For every value of x, the y-value remains constant at 3, meaning multiple x-values map to the same y-value, thus failing the vertical line test for functions.

Therefore, although it represents a line, it does not represent a linear function. Thus, the correct choice is D.

Complete Question:

Which statement best describes the equation x = 3?

A. The equation can not be graphed.

B. The equation represents a function, but not a linear function.

C. The equation represents a linear function.

D. The equation represents a line, but not a linear function.

Answer:

32 with 11 handkerchief left over

Step-by-step explanation:

Handkerchief = 811

Quits for 1 handkerchief = 25

Number of quits

= 811 ÷ 25

= 32 Remainder 11

Answer:

32 reminder of 11

Step-by-step explanation:

Answer:

x > -5

Step-by-step explanation:

-5(x+7)<-10

Divide each side by -5.  Remember to flip the inequality

-5/-5(x+7)>-10/-5

x+7 > 2

Subtract 7 from each side

x+7-7>2-7

x > -5

Answer:

The lateral edge is [tex]7\ in[/tex]

Step-by-step explanation:

we know that

The surface area of a cube is equal to

[tex]SA=6b^{2}[/tex]

where

b is the length side of the cube

we have

[tex]SA=294\ in^{2}[/tex]

substitute in the formula and solve for b

[tex]294=6b^{2}[/tex]

[tex]b^{2}=294/6[/tex]

[tex]b^{2}=49[/tex]

[tex]b=7\ in[/tex]

Answer:

7

Step-by-step explanation:

294/6 = 49

square root of 49 is 7

Answer:

16 beta fish

Step-by-step explanation:

Take the starting number of fish: 25, and subtract it by the number of fish being taken away: 9.

Answer:

16

Step-by-step explanation:

if we have 25 bettas and then 9 were taken that means we should subtract 9 from 25 to get 16 bettas left

Answer:

x^(4)+2x^(2)y^(2)+y^4)

Hope This Helps!  Have A Nice Day!!

The binomial expansion of (x²+y²)² is x⁴ +y⁴ + 2x²y²

The theorem states that any power of a binomial (a + b)ⁿ can be expanded as a specific sum of products (), such as (a + b)² = a² + 2ab + b².

Given

The given expression is (x² + y²)² and we have to simplify it to find the binomial expansion.

(x ²+ y²)² is in the form of (a + b)².

When we expand (a + b)² we get the binomial expression

(a + b)² = a² + b² + 2ab

Now we put the value of a = x² and b = y²

(x² + y²)² = (x²)² + (y²)² + 2(x²)(y²)

              = x⁴ + y⁴ + 2x²y²

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Answer:

narrower than and opens in the same direction as

Step-by-step explanation:

Answer:

narrower than and opens in the same direction as

Step-by-step explanation:

The graph of y = 5x2 is narrower than and opens in the same direction as the graph of y = x2.

Step-by-step explanation:

Answer:

[tex]A=34\ units^2[/tex]

Step-by-step explanation:

Suppose we have a general triangle like the one shown in the figure.

We know the angle A, the angle B and the length b.

[tex]A = 30\°\\\\B = 45\°\\\\b = 10[/tex]

By definition I know that the sum of the internal angles of a triangle is always equal to 180 °.

So

[tex]A + B + C = 180\\\\30 + 45 + C = 180[/tex]

We solve the equation and thus we find the angle C.

[tex]C = 180 - 30-45\\\\C = 105[/tex]

We already know the three triangle angles.

Now we use the sine theorem to calculate the sides c and a.

The  sine theorem says that:

[tex]\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}[/tex]

Then

[tex]\frac{sin(30)}{a}=\frac{sin(45)}{10}[/tex]

[tex]\frac{sin(30)}{\frac{sin(45)}{10}}=a[/tex]

[tex]a=7.071[/tex]

Also

[tex]\frac{sin(105)}{c}=\frac{sin(45)}{10}[/tex]

[tex]\frac{sin(105)}{\frac{sin(45)}{10}}=c[/tex]

[tex]c=13.660[/tex]

Finally, we use the Heron formula to calculate the triangle area

[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]

Where s is:

[tex]s=\frac{a+b+c}{2}[/tex]

Therefore

[tex]s=\frac{7.071+10+13.660}{2}[/tex]

[tex]s=15.37[/tex]

[tex]A=\sqrt{15.37(15.37-7.071)(15.37-10)(15.37-13.66)}[/tex]

[tex]A=34\ units^2[/tex]

Answer:

Step-by-step explanation:

4 (10)

5 (13)

6 (16)

7 (19)

Answer:

On the first picture

1 goes to 16.

2 goes to 13

3 goes to 10

4 goes to 19

On the second picture

1 goes to 9

2 goes to 11

3 goes to 13

4 goes to 15

Answer:

[tex]x=4,y=-3[/tex], or as an ordered pair: (4, -3)

Step-by-step explanation:

We have the system of equations

[tex]x^2+y^2=25[/tex] (1)

[tex]x-y^2=-5[/tex] (2)

Let's solve our system step-by-step:

Step 1. Solve for [tex]y^2[/tex] in equation (1)

[tex]x^2+y^2=25[/tex]

[tex]y^2=25-x^2[/tex] (3)

Step 2. Replace equation (3) in equation (2) and solve for [tex]x[/tex]

[tex]x-y^2=-5[/tex]

[tex]x-(25-x^2)=-5[/tex]

[tex]x-25+x^2=-5[/tex]

[tex]x^2+x-20=0[/tex]

[tex](x+5)(x-4)=0[/tex]

[tex]x+5=0,x-4=0[/tex]

[tex]x=-5,x=4[/tex]

Remember that in the fourth quadrant x is positive and y is negative, so we are taking the positive value of x; in other words [tex]x=4[/tex] (4)

Step 3. Replace equation (4) (the positive value of x) in equation (1)

[tex]x^2+y^2=25[/tex]

[tex]4^2+y^2=25[/tex]

[tex]16+y^2=25[/tex]

[tex]y^2=25-16[/tex]

[tex]y^2=9[/tex]

[tex]y=\sqrt{9} ,y=-\sqrt{9}[/tex]

[tex]y=3,y=-3[/tex]

Since y is negative in quadrant IV, we take [tex]y=-3[/tex]

We can conclude that the solution of our system of equations that lies in the quadrant IV is [tex]x=4,y=-3[/tex], or as an ordered pair: (4, -3)

Answer:

if you type (4,-3) is wrong

Answer:

greater than 67,124

Step-by-step explanation:

since you are multiplying 67,124 with a variable(x) and multiplication only increases the value, the answer is greater than since you are multiplying 67,124 with a variable, which will only increase  the product value