3. A company is designing a juice box. The box is in the shape of a
rectangular prism. The base of the box is 6 inches by 2 inches and
the box is 4 inches high tice fills 90% of the box volume find the
volume of juice in the box

Answer: Choice C.

How many 1/4-meter long pieces of ribbon are needed to have a total of 3 1/2 meters of ribbon.

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Explanation:

Let's consider a similar problem without the fractions.

Let's say you want to know how many 2 meter lengths of ribbon you can cut from an overall length of 24 meters. That would be 24 ÷ 2 = 12 pieces total.

So we divide the two values (large ÷ small)

The same idea applies to this problem as well. The larger amount (3 & 1/2 meters) is what we cut up, and each slice is 1/4 of a meter. To find the number of pieces, we would compute 3 1/2÷1/4

Note: it might help to convert the mixed number 3 & 1/2 to the improper fraction 7/2

Answer:

znvipahgvahgv

Step-by-step explanation:

The solution for question a is -2.00. The solution for question b is  0.6687. The solution for question c is 10 students. We can show the working in the following manner.

a. What is the probability of completing the exam in one hour or less (to 4 decimals)?

To answer this question, we need to convert the time of one hour (60 minutes) to a z-score using the mean and standard deviation provided. We have:

z = (60 - 80) / 10 = -2.00

Using a standard normal distribution table or calculator, we can find that the probability of completing the exam in one hour or less is approximately 0.0228, rounded to 4 decimal places.

b. What is the probability that a student will complete the exam in more than 60 minutes but less than 75 minutes (to 4 decimals)?

To answer this question, we need to find the probability of completing the exam in less than 75 minutes and subtract the probability of completing the exam in less than 60 minutes. We have:

z1 = (60 - 80) / 10 = -2.00

z2 = (75 - 80) / 10 = -0.50

Using a standard normal distribution table or calculator, we can find that the probability of completing the exam in less than 75 minutes is approximately 0.6915 and the probability of completing the exam in less than 60 minutes is approximately 0.0228, as calculated in part a.

So, the probability of completing the exam in more than 60 minutes but less than 75 minutes is approximately:

0.6915 - 0.0228 = 0.6687, rounded to 4 decimal places.

c. Assume that the class has 60 students and that the examination period is 90 minutes in length. How many students do you expect will be unable to complete the exam in the allotted time (to the next whole number)?

To answer this question, we need to find the number of students whose exam time is greater than 90 minutes, which is the maximum time allowed. We can use the normal distribution with the given mean and standard deviation to calculate this.

First, we need to find the z-score corresponding to a time of 90 minutes:

z = (90 - 80) / 10 = 1.00

Using a standard normal distribution table or calculator, we can find that the probability of completing the exam in more than 90 minutes is approximately 0.1587.

Therefore, the expected number of students who will be unable to complete the exam in the allotted time is:

60 x 0.1587 = 9.52, which rounds up to 10 students (to the next whole number).

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Answer:

a) 3n – 15 + n = 101

Step-by-step explanation:

on edge 2020 || pls mark brainliest

The equation that can be used to find the value of n is 3n - 15 + n = 101

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

For example, 3x + 5 = 15.

Given that, a verbal equation, we need to convert it to mathematical notation,

A number, n, is added to 15 less than 3 times itself. The result is 101.

So, 15 less than 3 times itself = 3n - 15

n, is added to = 3n - 15 + v

The result is 101 = 3n - 15 + v = 101

Therefore, the result is 3n - 15 + v = 101

Hence, the equation that can be used to find the value of n is 3n - 15 + n = 101

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The required expression is \(18-3\).

Important information:

We need to find the algebraic expressions for the given phrase.

The algebraic expressions for the phrase "a fewer than b" is:

\(b-a\)

Similarly, the algebraic expressions for the phrase "3 fewer than 18" is:

\(18-3\)

Therefore, the required expression is \(18-3\).

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Check the picture below.

The length of YZ is 8√5.

A circle is a two-dimensional figure with a radius and circumference of 2πr.

The area of a circle is given as πr².

We have,

Line XY and the tangent to the circle at Z intersect at W.

WX = 4, WZ = 8, and WY is perpendicular to WZ.

Now,

From the tangent and secant segment length theorem, we get,

WZ² = WY x WX

8² = WY x 4

WY = 64/4

WY = 16

Now,

From the Pythagorean theorem, we get,

YZ² = WY² + WZ²

YZ² = 16² + 8²

YZ² = 256 + 64

YZ² = 320

YZ = √(320)

YZ = √(64 x 5)

Yz = 8√5

Thus,

YZ is 8√5.

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Answer:

a

Step-by-step explanation:

Answer:

I think it's

Step-by-step explanation:

It might be a because (6.9, 10) is not a graph included.

The scale factor of the dilation is 2 which can be shown in the details given below.

In geometry, a line segment is bounded with the aid of using awesome factors on a line. Or we are able to say a line phase is a part of the road that connects  factors. A line has no endpoints and extends infinitely in each the course however a line phase has constant or particular endpoints.

QS : QS'

= 4 : 8

= QU : QU'

= 5 : 10

= 1 : 2

Then the scale factor is of the dilation is 2 (magnification).

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Complete question

Line segment SU is dilated to create S'U' using point Q as the center of dilation.

The scale factor of the dilation is:

Answer:

1).  The constant of variation is 7

2).  w = 6 for the given values of x and y

Step-by-step explanation:

"Varies jointly" tells us that y is a direct result of a mathematic operation involving x and w.  We will assume y is directly prorportional to x and w, in the sense that we can find a multiplicative relationship of the form y=Kxw, where K is the constant of variation.

We are given one data point:  y=-42 where x is 2 and w is -3.  Let's put those values into our trrial expression:

y=Kxw

-42=K(2)(-3)

-42 = -6K

K = 7

The constant of variation is 7.

The value of w for y=3 and x=(1/14) would be:

  y=7xw

  3 = 7*(1/14)*w

3 = (1/2)*w

Answer:

1)  k = 7

2)  w = 6

Step-by-step explanation:

Joint variation equation

If y varies jointly with x and w:

\(\boxed{y \propto xw \implies y=kxw}\)

for some constant k.

Given:

Substitute the given values into the joint variation equation and solve for k:

\(\begin{aligned}y&=kxw\\\implies -42&=k \cdot 2 \cdot -3\\-42&=-6k\\k&=\dfrac{-42}{-6}\\k&=7\end{aligned}\)

Therefore, the equation is:

\(\boxed{y=7xw}\)

To find w when y = 3 and x = 1/14, substitute these values into the found equation and solve for w:

\(\begin{aligned}y&=7xw\\\implies 3&=7 \cdot \dfrac{1}{14} \cdot w\\3&=\dfrac{7}{14} \cdot w\\42&=7w\\w&=6\end{aligned}\)

Answer:

-35.

Step-by-step explanation:

x is -13.

y is -22.

-13 + (-22) = -35

In the given problem, we have two complex numbers Ü = 31 - 4j and ū = i + 2j. We are required to find the values of 7 + ū and ||D + WI. The expression 7 + ū represents the sum of 7 and the complex number ū, while ||D + WI represents the magnitude (or modulus) of the complex number D + WI.

a) To find 7 + ū, we simply add 7 to the real and imaginary parts of the complex number ū. Given ū = i + 2j, adding 7 to it gives us 7 + ū = 7 + i + 2j.

b) To find ||D + WI, we need to calculate the magnitude of the complex number D + WI. Here, D and W are not provided in the given problem. If you provide the values of D and W, we can substitute them and calculate the magnitude using the formula ||D + WI| = √(Re(D + WI)^2 + Im(D + WI)^2).

Therefore, to find 7 + ū, we add 7 to the real and imaginary parts of ū, and to find ||D + WI, we need the values of D and W to substitute into the magnitude formula.

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Answer:

A) Rational

Step-by-step explanation:

0.275 is a rational number.

Answer:

Rational

Real

Step-by-step explanation:

A rational number in which the decimal doesn't repeat forever.

A real number is any number that isn't imaginary.

The number 0.275 checks those two categories.

An integer is a number that is not a fraction.

A natural number is any positive number that is not a decimal.

The number 0.275 does not check these two categories.

Best of Luck!

Answer:

d=8

e=11.31

Step-by-step explanation:

side8 and side(d) are the same length

8squared+8squared=128

\(\sqrt{128}\)=11.31

hope this helps!

Answer:

d = 8 and e = 8√2   ( e = 11.31 do the nearest hundredth)

Step-by-step explanation:

This is a 45-45-90 triangle so the sides are in the ratio 1:1:√2

So d = 8

and

e = 8√2.

Answer:

300 feet

Step-by-step explanation:

The absolute value of a number is defined as that number's distance from 0 (the origin) on a number line, regardless of direction.

In this case, the origin can be represented by sea level. Since the lowest point of 300 feet is taken by reference to sea level, it can be said that the absolute value of the point is 300 feet, since this represents its vertical distance from sea level.

Hope this helps!

Answer:

2.33333333333

Step-by-step explanation:

ignore the 2 and just divide 1 and 3 which is 0.33333333333  now add in the 2 so ur answer is 2.33333333333 .

a 90° clockwise rotation

Answer:it’s A 90 clockwise rotation

Step-by-step explanation:

Answer:

\(W=2.58 unit\)

\(L=15.5 unit\)

Step-by-step explanation:

From the question we are told that:

Area \(A=40\)

Equation

Length \(L=6LW\)

Generally the equation for Area of a rectangle is mathematically given by

 \(A=L*W\)

 \(A=W*(6W)\)

 \(A=6W^2\)

 \(W=\sqrt{40/6}\)

 \(W=2.58 unit\)

Therefore Length is

 \(L=6W\)

 \(L=6(2.58)\)

 \(L=15.5 unit\)

Length = 10

Width = 4

The dimensions of the rectangle would be 10 by 4.

The equation for the quadratic function in standard form is f(x) = x² - 11x + 24

From the question, we are to write an equation for the quadratic function in standard form.

From the given quadratic graph,

The roots of the function are 3 and 8.

That is,

x = 3 and x = 8

Then,

The factors of the quadratic function are (x -3) and (x - 8)

Thus,

We can write that

(x - 3)(x - 8) = 0

x² - 8x - 3x + 24 = 0

Simplify

x² - 11x + 24 = 0

Hence, the equation is f(x) = x² - 11x + 24

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Answer:

A:)

Step-by-step explanation:

l and lll

The sum of the angles in a triangle is 180°, If I remember correctly.

Answer:

8.4

Step-by-step explanation:

d=√(x2-x1)+(y2-y1)

d-√ (-1-(-7))^2+(-1-(-7))^2

d=√ (-1+7)^2+(-1+7)^2

d=√ (6)^2+6^2

d=√ 36+36

d=√ 72

d=6√ 2=8.4852

d=8.4

The median of the fiber content data set is 12, the first quartile (Q1) is 8, the third quartile (Q3) is 14, and the interquartile range (IQR) is 6.

To find the median, quartiles, and interquartile range for the fiber content data set, we first need to arrange the data in ascending order:

7, 7, 7, 8, 8, 11, 11, 11, 12, 12, 12, 13, 14, 78, 87

Median:

The median is the middle value of the data set when it is arranged in ascending order. In this case, we have 15 data points, so the median is the value in the 8th position (middle position). Since the data set has been arranged in ascending order, the median is 12.

Quartiles:

Quartiles divide the data set into four equal parts. The first quartile (Q1) is the median of the lower half of the data set, the second quartile (Q2) is the median itself, and the third quartile (Q3) is the median of the upper half of the data set.

Lower half: 7, 7, 7, 8, 8, 11, 11, 11

Upper half: 12, 12, 12, 13, 14, 78, 87

Q1: The median of the lower half is the value in the 4th position, which is 8.

Q2: The median of the whole data set is the value we already found, which is 12.

Q3: The median of the upper half is the value in the 12th position, which is 14.

Interquartile Range (IQR):

The interquartile range is the difference between the third quartile (Q3) and the first quartile (Q1).

IQR = Q3 - Q1

   = 14 - 8

   = 6

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Answer: 45%

Step-by-step explanation:

27/60 squares are covered

I reduced the fraction to 9/20, multiplied by 5 to make the denominator 100 and the numerator is 45, therefore fraction is 45/100.

The slope is the steepness of a line on a graph and represents the ratio of the vertical change to the horizontal change, the rate of change refers to the amount of change in one variable corresponding to a unit change in another variable.

The slope of a line is a measure of its steepness or incline. It is calculated by dividing the vertical change (change in y-values) by the horizontal change (change in x-values) between two points on the line. The slope indicates how much the dependent variable (y) changes with respect to a unit change in the independent variable (x). In other words, it represents the ratio of the rise (vertical change) to the run (horizontal change) on the graph.

On the other hand, the rate of change is a broader concept that applies to any relationship between two variables, not just linear relationships. It measures how one variable changes in response to a unit change in another variable. The rate of change can be positive, indicating an increase in one variable for every unit increase in the other variable, or negative, indicating a decrease. It can also vary across different intervals of the relationship, indicating that the relationship is not constant.

In summary, the slope specifically refers to the steepness of a line on a graph and is calculated as the ratio of the vertical change to the horizontal change. The rate of change, on the other hand, is a more general concept that describes how one variable changes in response to a unit change in another variable and can be applied to any type of relationship between variables.

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Answer:

answer is 5900 calories. hope this helps

To find the curvature of the curve defined by the vector function r(t) = < t^2, ln(t), t ln(t) > at a given point, we need to calculate the curvature using the formula:

κ = |dT/ds| / ||dT/ds||,

where dT/ds is the unit tangent vector and ||dT/ds|| is its magnitude.

Let's proceed with the calculations:

Step 1: Find the first derivative of r(t) to get the tangent vector T(t):

r'(t) = < 2t, 1/t, ln(t) + t/t > = < 2t, 1/t, ln(t) + 1 >.

Step 2: Calculate the magnitude of the tangent vector:

||r'(t)|| = sqrt((2t)^2 + (1/t)^2 + (ln(t) + 1)^2)

         = sqrt(4t^2 + 1/t^2 + ln(t)^2 + 2ln(t) + 1).

Step 3: Differentiate r'(t) to find the second derivative:

r''(t) = < 2, -1/t^2, 1/t + 2/t > = < 2, -1/t^2, (t + 2)/t >.

Step 4: Calculate the magnitude of the second derivative:

||r''(t)|| = sqrt(2^2 + (-1/t^2)^2 + ((t + 2)/t)^2)

          = sqrt(4 + 1/t^4 + (t^2 + 4t + 4)/t^2)

          = sqrt((t^6 + 4t^5 + 4t^4) + (t^2 + 4t + 4) + 4t^2).

Step 5: Calculate the curvature:

κ = |dT/ds| / ||dT/ds||

  = (||r'(t)|| / ||r''(t)||^3)

  = ((sqrt(4t^2 + 1/t^2 + ln(t)^2 + 2ln(t) + 1)) / (sqrt((t^6 + 4t^5 + 4t^4) + (t^2 + 4t + 4) + 4t^2))^3).

To find the curvature at a specific point, substitute the value of t into the expression for κ.

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