Juice boxes are sold in a local store for 65 cents each. The factory has $1400 in fixed costs plus 15 cents of additional expense for each juice box made. Assuming all juice boxes manufactured can be sold, find the break-even point.

Answer:

r=2

Step-by-step explanation:

bring the numbers to the other sides

Answer:

dude what is r?

Step-by-step explanation:

for example

3 + 3z - 10

if z is 2

3 + 3 × 2 - 10

Answer:

3

Step-by-step explanation:

As we move from A(2, 1) to B(5, 1), x increases by 3 but y stays the same.

Thus, the distance from A to B is simply 3.  This is the desired length.

The length of side AB would be 3 units,

As we move from A(2, 1) to B(5, 1), x increases by 3 but y stays the same.

Thus, the distance from A to B is simply 3.  This is the desired length.

I recommend using Desmos to quickly graph things (it's much faster than doing it yourself, I use it often. You can graph points and everything).

The picture ends up looking like the attachment I have below.

This is now a simple subtraction.

A is at 2 on the x-axis and B is at 5.

5-2=3

3 units.

A coordinate plane is a graphing and description system for points and lines. A vertical (y) axis and a horizontal (x) axis make up the coordinate plane. There are four quadrants in the coordinate plane. The point where these lines connect is called the origin (0, 0).

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Answer:

multiplication

Step-by-step explanation:

The investment as a function of time will be 500 + ((8 * t)/100)*500 where 't' represents the number of years.

Percentage is defined as a given part or amount in every hundred

Initial investment by Vince = $500

Increase percentage every year = 8%

Investment value after 1 year will be = 500 + ((8 * 1)/100)*500

Investment value after 2nd year will be = 500 + ((8 * 2)/100)*500

Continuing the pattern:

So, investment value after 't' years will be = 500 + ((8 * t)/100)*500

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Answer:

12

Step-by-step explanation:

Absolute value means take the positive value of

3 |-4|

3 * 4

12

Answer:

0.8941

Step-by-step explanation:

sin D = opp / hyp = 6 m  /  6.71 m  =  0.8941

Answer:

sin D = 0.8942

Step-by-step explanation:

In the given Δ BCD.

sin D = [tex]\frac{\text{Length of pole}}{\text{Length of guy wires}}[/tex] = [tex]\frac{CA}{CD}[/tex] = [tex]\frac{Height}{Hypotenuse}[/tex]

= [tex]\frac{6}{6.71}[/tex]

Sin D = 0.8942

Therefore, Answer is sin D = 0.8942

Side DF is congruent (the = and ~ symbol) to side DE

Answer:

The correct option is A) [tex]\overline{DF}\cong \overline{DE}[/tex]

Step-by-step explanation:

Consider the provided figure.

The coordinates of E is (-2,3)

The coordinates of D is (-5,1)

The coordinates of F is (-3,-2)

Now use the distance formula to find the length of line segment:

[tex]\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

The distance between (-2,3) and (-5,1) is:

[tex]\overline{DE}=\sqrt{\left(-5-\left(-2\right)\right)^2+\left(1-3\right)^2}=\sqrt{13}[/tex]

The distance between (-5,1) and (-3,-2) is:

[tex]\overline{DF}=\sqrt{\left(-3-\left(-5\right)\right)^2+\left(-2-1\right)^2}=\sqrt{13}[/tex]

The distance between (-3,-2) and (-2,3) is:

[tex]\overline{EF}=\sqrt{\left(-2-\left(-3\right)\right)^2+\left(3-\left(-2\right)\right)^2}=\sqrt{26}[/tex]

Hence the length of line segment DE and DF is same.

Thus the correct option is A) [tex]\overline{DF}\cong \overline{DE}[/tex]

Answer:

9 Grams

Step-by-step explanation:

You would move the decimal over 3 times to the left  from the end of 9000

To convert milligrams to grams, you should know that 1 gram is equal to 1000 milligrams. This is because "milli" in milligrams means one-thousandth of a gram.
If an energy bar contains 9000 milligrams of protein, to convert this amount to grams, you divide the milligrams by 1000 (because 1000 milligrams equals 1 gram).
Here's the calculation:
\( 9000 \text{ milligrams} \div 1000 = 9 \text{ grams} \)
So, an energy bar that contains 9000 milligrams of protein has 9 grams of protein.

Answer:

Maya needs 33 bags

Step-by-step explanation:

Let's call x the number of bags of soil. If each bag contains 1.5 cubic feet, then "x" bags do not contain a volume of:

1.5x.

As a volume of 4.5 cubic feet has been published.

[tex]y = 4.5 + 1.5x[/tex]

We need 54 cubic feet.

Then [tex]y = 54[/tex]

[tex]54 =4.5 + 1.5x[/tex]

Now we must solve the equation for x.

[tex]1.5x = 54 -4.5[/tex]

[tex]1.5x = 49.5[/tex]

[tex]x =\frac{49.5}{1.5}\\\\x=33\ bags[/tex]

Answer:

[tex]y+1=3(x+1)[/tex]

Step-by-step explanation:

step 1

Find the slope of the given line

[tex]m=(3+3)/(2-0)[/tex]

[tex]m=3[/tex]

step 2

Find the slope of the line that is  parallel to the given line

we know that

If two lines are parallel, then their slopes are the same

therefore

the slope is equal to [tex]m=3[/tex]

step 3

Find the equation in point slope form

we have

[tex]m=3[/tex]

[tex]point (-1,-1)[/tex]

The equation of the line into point slope form is equal to

[tex]y-y1=m(x-x1)[/tex]

substitute

[tex]y+1=3(x+1)[/tex] ----> equation of the line into point slope form

Answer:

1

Step-by-step explanation:

Factorise numerators/ denominators where possible

3x² - 4x + 1 = (x - 1)(3x - 1)

x² - 1 ← is a difference of squares and factors as

x² - 1 = (x - 1)(x + 1)

Expressing the product in factored form

[tex]\frac{(x-1)(3x-1)}{(x-1)(x+1)}[/tex] × [tex]\frac{x+1}{3x-1}[/tex]

Cancel common factors on numerator/denominator, that is

Cancel (x - 1) , (x + 1) and (3x - 1), leaving the simplified form 1

Answer: 1

Step-by-step explanation:

Answer:

the correct answer is rectangle

Step-by-step explanation:

Answer: Choices 1, 3, and 5 are functions

Step-by-step explanation:

To be a function, the x value can only be used once. In choices 2 and 4, the x value is repeated; therefore they are not functions.

Answer:

Step-by-step explanation:

Answer:

0i + 10j, or just 10j

Step-by-step explanation:

Vector u = <6, -4> and vector v = <12, 2>.

We are to find v - 2u, which is:

<12, 2> - 2<6, -4>.  We combine x components and y components to obtain:

<12-12, 2+8>, or <0, 10>.

In terms of i and j, that'd be 0i + 10j, or just 10j.

Answer:

v-2u=10j

Step-by-step explanation:

The component of vector v, are

u=<6,-4>

From the graph; vector u, has components.

v=<12,2>

We perform the subtraction;

v-2u=<12,2>-2<6,-4>

We multiply out the scalar to get:

v-2u=<12,2>-<12,-8>

This implies that;

v-2u=<12-12,2--8>

v-2u=<0,10>

v-2u=0i+10j

v-2u=10j

Answer:

Step-by-step explanation:

[tex]V_p=6\\\\\text{Calculate the volume of a cube:}\\\\V_{c}=\left(\dfrac{1}{2}\right)^3=\dfrac{1}{8}\\\\\text{Calculate how many times the volume of the prism is greater}\\\text{than the volume of the cube:}\\\\\dfrac{V_p}{V_c}=\dfrac{6}{\frac{1}{8}}=6\cdot8=48[/tex]

Answer:

27

Step-by-step explanation:

Using the process of elimination and since their is no -27, 27 must be the answer

The little bars on each side of the number -27 represent absolute value. This means that you must take the positive of the number inside the absolute value. In this case the positive of -27 is...

A. 27

Hope this helped!

I love Shawn Mendes. I'll marry him one day. You'll see

Answer:

The mean is 5 times

range - 6

mode - 3

median - 3

Step-by-step explanation:

to work out the mean you add 9+3+9+8+3+3+5+3+3 together which gives you 46 and then divide the answer by the total number of people which is 9 and the answer is 5.1 but you round it to 5

Answer:

138

Step-by-step explanation:

152+125=277

277-135=142

around 138

Answer: 26

Step-by-step explanation:

because...

Feet result: 0.18055555556 ft.

Calculation: 2.1666666666666665" / 12

= 0.18055555556ft

But at the end your answer is going to 26.

So 2.1666666666666665 = 26

* Hopefully this helps:)

* Mark me the brainliest:)!!

Answer:

Step-by-step explanation:

2  1/6 ft = 24 inches plus (1/6)(12 in), or 24 inches plus 2 inches, or 26 inches.

2  1/6 is ALREADY a mixed number, in feet.

Answer:

You'd earn $825 in interest.

Step-by-step explanation:

The appropriate formula for simple interest is i = p·r·t, where p is the principal, r is the interest rate as a decimal fraction, and t is the time in years.  Because 8 months constitutes 2/3 year, we have:

i = $45,000·(0.0275)(2/3) = $825.

You'd earn $825 in interest.

Answer: [tex]d=11[/tex]

Step-by-step explanation:

To find the value of "d" you need to solve for "d" from the equation given

[tex]2d -5=17[/tex]

First, you have to apply the Addition property of equality and add 5 to both sides of the equation. Then:

[tex]2d -5+(5)=17+(5)\\2d=22[/tex]

And finally, you have to apply the Division property of equality and divide both sides of the equation by 2.

Therefore, you get that the value of "d" is:

[tex]\frac{2d}{2}=\frac{22}{2}\\\\d=11[/tex]

Please give Brainliest!

Answer: The value of d is 11

Step-by-step explanation:

To find the value of "d" you need to subtract five from 2d or 2•11 which would give you 17.

2d -5=17

First you would add five to each side.

2d -5 + 5=17+5

This would show you that whatever you multipy 2 by would have to equal 22.

2d=22

The only thing times 2 that equals 22 is 11, so that would have to be your answer.

Hope this helps :)

Have a blessed evening!

The error is identified in C. In step 2, he confused the multiplication and addition signs.

What is Calvin's error?

In step 2, he confused the multiplication and addition signs.

Step 1: -2/3 x (5 + 1/6)

Step 2: (-2/3 × 5) + (-2/3 × 1/6)

Step 3: -10/3 + -12/18

Step 4: -10/3 - 2/3

= (-10-2)/3

= -12/3

= -4

Therefore,

Calvin's answer should be negative 4

Complete Questiion:

Calvin evaluated -2/3 x 5 1/6 using the steps below.

Step 1: -2/3 x (5 + 1/6)

Step 2: (-2/3 + 5)x(-2/3 + 1/3)

Step 3: 4 1/3 x -1/3

Step 4: -2 1/6

Which describes Calvin’s error?

In step 1, he incorrectly broke up 5 1/6.

In step 2, he distributed the -2/3 instead of the 5.

In step 2, he confused the multiplication and addition signs.

In step 3, he computed the addition and multiplication incorrectly

Answer:

B

Step-by-step explanation:

The measure of the angle on the circle formed by the chords RS and TS is half the measure of the arc RT intersected by the 2 chords,

∠RST = 0.5 × 94° = 47° → B

Answer: 47

Step-by-step explanation:

Answer:

[tex]16(x^{2})[/tex]

Step-by-step explanation:

we know that

[tex](4x)^{2} =(4^{2})(x^{2})=16(x^{2})[/tex]

therefore

The expression in the form [tex]k(x^{n})[/tex] is equal to

[tex]k(x^{n})=16(x^{2})[/tex]

where

k=16

n=2

x should be the subject

Answer:

x should be the subject

Step-by-step explanation:

Answer:

The correct answer is  64a^6 - 27b^4

Step-by-step explanation:

It is given an expression,

(4a^2 - 3b^2)(16a^4 + 12a^2b^2 + 9b^4)

To find the correct answer

(4a^2 - 3b^2)(16a^4 + 12a^2b^2 + 9b^4)  can be written as,

(4a^2 - 3b^2)(16a^4 + 12a^2b^2 + 9b^4) = 4a^2 * (16a^4 + 12a^2b^2 + 9b^4) - 3b^2(16a^4 + 12a^2b^2 + 9b^4)

 = 64a^6 + 48a^4b^2 + 36a^2b^4 - 48a^4b^2 - 36a^2b^4 - 27b^4

 =  64a^6  - 27b^4 + 48a^4b^2 - 48a^4b^2 + 36a^2b^4 - 36a^2b^4

 = 64a^6 - 27b^4

Therefore the correct answer is  64a^6 - 27b^4

Answer:

[tex]64a^6-27b^6[/tex]

Step-by-step explanation:

Hope this helps:) Have a good day!!

Answer: B.152

Step-by-step explanation:

5 * 8 = 40 * 2 = 80

6 * 8 = 48

4 * 6/2 = 12 * 2 = 24

80 + 48 + 24 = 152

The surface area of a triangular prism is determined by summing the areas of the five faces, which include two triangles and three rectangles. In the given example, the surface area totalled to 48 square cm.

The surface area of a triangular prism can be found by summing the areas of all the faces. In the case of a triangular prism, there are two triangular faces and three rectangular ones. To find the area of a rectangle, you multiply the length by the width. For the triangle, you use the formula 1/2(base x height).

Let's assume as an example that we have a prism where each rectangle has dimensions of 3 cm by 4 cm, and the triangles have a base of 3 cm and height of 4 cm.

Calculating for the rectangular faces: 3 rectangular faces x area of rectangle (3 cm x 4 cm) = 3 x 12 square cm = 36 square cm.

Calculating for the triangular faces: 2 triangular faces x area of triangle (1/2 x 3 cm base x 4 cm height) = 2 x 6 square cm = 12 square cm.

Adding all together, the total surface area is 48 square cm.

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Answer:

The relative maximum value is [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

The given function is

[tex]g(x)=\frac{2}{x^2+3}[/tex]

We differentiate to obtain;

[tex]g'(x)=-\frac{4x}{(x^2+3)^2}[/tex]

At turning points [tex]g'(x)=-\frac{4x}{(x^2+3)^2}=0[/tex]

[tex]\implies x=0[/tex]

[tex]g''(x)=\frac{16x^2}{(x^2+3)^3}- \frac{4}{(x^2+3)^2}[/tex]

We apply the second derivative test to obtain:

[tex]g''(0)=\frac{16(0)^2}{((0)^2+3)^3}- \frac{4}{((0)^2+3)^2}=-\frac{4}{9}[/tex]

Since the second derivative is negative, there is a relative maximum at x=0.

We substitute x=0 into the original function to obtain the relative maximum value.

[tex]g(0)=\frac{2}{(0)^2+3}=\frac{2}{3}[/tex]

To find the relative maximum value of g(x) = 2/(x² + 3), one should evaluate the function at x = 0, giving the relative maximum value as 2/3.

The question is asking to identify the relative maximum value of the function g(x) = 2/(x² + 3).

To find the relative maximum, we need to find the critical points by taking the derivative of g(x) and setting it to zero. However, this function does not have a simple expression where the derivative is zero.

Instead, we note that because the denominator x² + 3 is always positive and has a minimum when x = 0, the function g(x) will have a maximum value when x = 0.

Thus, the relative maximum value of g(x) is obtained by plugging x = 0 into the function: g(0) = 2/(0² + 3) = 2/3.

Answer:

12.5

Step-by-step explanation:

7:56*100 =

(7*100):56 =

700:56 = 12.5

C=2πr

25.13 cm is the conference

Answer:

8π cm

Step-by-step explanation:

The diameter is 8 cm

We know the circumference is  pi times diameter

C = pi * d

C = pi *8

C = 8pi cm

We leave it in terms of pi since we want the exact value.

Same side interior means that they have to be the angles inside the two parallel lines and on the same side

Look at the image below

The ones circled in pink is one set of same side interior and the ones in read are another

Hope this helped!

btw Only one of them is in the answer choices, but both are correct.

Answer:

The correct answer is last option

<3 and <5

Step-by-step explanation:

From the figure we can see that,

MP ║ JL and KN is the traversal

To find the same side interior

From figure we get,

same side interior angles are,

1).  <3 and < 5

2).  <4 and <6

From the given options the correct option is last option

<3 and <5