write the equation of the line slope 4 and y intercept 1/2

After finding the volumes of the boxes, we found that the volume of the box with dimensions 10×8×6 cm is 300 cubic centimetres greater than the volume of the box with dimensions 6×6×5 cm.

What is meant by the volume?

Three-dimensional space is quantified by volume. Any three-dimensional solid's volume is just the amount of space it takes up. A cube, cuboid, cone, cylinder, or sphere can be one of these solids. Volumes vary depending on the shape. A solid's volume is expressed in cubic units. Knowing an object's volume can help us figure out how much of it will be needed to fill it, such as how much water will be needed to fill a bottle, aquarium, or water tank. The object's capacity is another name for it.

First box dimensions

Length l = 10 cm

Width w = 8 cm

Height h = 6 cm

The volume of box = l * w * h = 10 * 8 * 6 = 480 cm³

Second box dimensions

Length l = 6 cm

Width w = 6cm

Height h = 5 cm

The volume of box = l * w * h = 6 * 6 * 5 = 180 cm³

The difference between volumes of boxes = 480 - 180 = 300cm³

Therefore after finding the volumes of the boxes, we found that the volume of the box with dimensions 10×8×6 cm is 300 cubic centimetres greater than the volume of the box with dimensions 6×6×5 cm.

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Answer:

0

Step-by-step explanation:

When adding a negative, just get rid of the negative and subtract.

D-d=0

The horizontal distance from the base of the skyscraper out to the ship would be 1053 feet.

Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.

In a right-angled triangle, two such angles are there which are not right angled(not of 90 degrees).

The slanted side is called the hypotenuse.

Let d the horizontal distance from the base of the skyscraper out to the ship. Since the angle of depression is 45°, hence:

[tex]\text{Angle} = 90 - 45 = 45^o[/tex]

Using trigonometric ratio:

[tex]tan(45) = \dfrac{d}{1053}[/tex]

[tex]d = 1053\ \text{feet}[/tex]

The horizontal distance from the base of the skyscraper out to the ship would be 1053 feet.

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The result is 5 1/3, not 5 1/4 as Lin suggested.

No, I don't agree with Lin's statement. Lin's explanation is incorrect.

When evaluating the expression 4 ÷ (3/4), we need to remember the order of operations, which states that we should perform the division before the multiplication.

To divide by a fraction, we can multiply by its reciprocal. The reciprocal of 3/4 is 4/3. Therefore:

4 ÷ (3/4) = 4 * (4/3)

Now we can simplify the expression:

4 * (4/3) = (4 * 4) / 3 = 16 / 3

The result, 16/3, is an improper fraction. To convert it to a mixed number (a whole number and a fraction), we divide the numerator (16) by the denominator (3):

16 ÷ 3 = 5 with a remainder of 1

The quotient is 5, and the remainder is 1. Therefore, the result is 5 1/3, not 5 1/4 as Lin suggested.

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Answer:

-4.1

Step-by-step explanation:

5.7-9.8= -4.1

Step-by-step explanation:

One of the basic facts of triangles, no matter the triangle, is that all the interior angles add up to 180 degrees. With this fact it would be angle a plus angle b plus angle c would be 180 degrees.

Answer:

a. True. Both 0.3 and 0.3... represent the decimal expansion of one-third, which is equivalent to the fraction 1/3.

b. True. The number 0.111000111000... is a repeating decimal, with a repeating block of three digits (111) that starts repeating from the fourth decimal place.

c. True. The fraction 1/9 is equal to the repeating decimal 0.1111..., where the digit 1 repeats infinitely.

d. True. To convert the fraction 2/11 to a decimal, we can perform long division. We get a repeating decimal expansion of 0.181818... where the digits 18 repeat infinitely. Therefore, the statement is true.

Step-by-step explanation:

The length of the side 'х' is 79.20 units to two decimal places.

Angle is a two-dimensional figure that is formed by two straight lines intersecting each other. It can also be defined as the amount of rotation between two lines or planes. An angle is measured in degrees, with a full rotation being 360°.

The given triangle is a right-angled triangle as it has an angle of 64° which is a right angle. The angle 35° and 113 are the other two angles of the triangle. To find the length of the side 'х', we need to use the Pythagorean Theorem. The Pythagorean Theorem states that "the square of the hypotenuse is equal to the sum of the squares of the other two sides".
In this case, the hypotenuse is 113, and the other two sides are 'х' and the perpendicular side opposite to the angle of 35°. Therefore, using the Pythagorean Theorem, we can say:
113² = х² + (perpendicular side)²
Using the trigonometric ratio sine, we can calculate the length of the perpendicular side opposite to the angle 35°, which is equal to the sine of 35° multiplied by the hypotenuse.
(perpendicular side) = sin 35° × 113
Therefore, the equation for the triangle now becomes:
113² = х² + (sin 35° × 113)²
Simplifying the equation and solving for 'х' gives us:
х² = 113² - (sin 35° × 113)²
х = √(113² - (sin 35° × 113)²)
Finally, substituting the values, we get:
х = √(113² - (sin 35° ×113)²)
 = √(12,841 - (0.5736 × 113)²)
 = √(12,841 - 6,539.7808)
 = √6,301.2192
 = 79.20
Therefore, the length of the side 'х' is 79.20 units to two decimal places.

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Answer:

A.Y=-2x+5 and x+y=1 is the system of equation has the solution.i am sorry if iam wrong.

The reasons that complete the table in the prove that the segment [tex]\overline{QW}[/tex] is congruent to [tex]\overline{ST}[/tex]can be presented as follows;

Statements                                [tex]{}[/tex]                     Reasons

(1) [tex]\overline{QS}[/tex] ≅ [tex]\overline{WT}[/tex]                                    (1) Given

(2) [tex]\overline{QW}[/tex] + [tex]\overline{WS}[/tex] ≅ [tex]\overline{WS}[/tex] + [tex]\overline{ST}[/tex] [tex]{}[/tex]             (2) Segment addition postulate

(2) [tex]\overline{WS}[/tex] ≅ [tex]\overline{WS}[/tex] [tex]{}[/tex]                                 (3) Reflexive property of congruence

(4) [tex]\overline{QW}[/tex] ≅ [tex]\overline{ST}[/tex]    [tex]{}[/tex]                               (4) Subtraction property of congruence

Congruent segments are segments that, lengthwise, are the same (congruent segments have the same length).

Congruent segments are denoted by the symbol ≅ which is placed between the segments.

The details of the reasons in the above prove are presented as follows;

Segment addition postulate

The segment addition postulate states that the point B is located on the segment AC if we get AC = AB + BC

Reflexive property of congruence

The reflexive property of congruence states that a geometric figure or shape is congruent to itself.

Subtraction property of congruence

The subtraction property of congruence states that the remaining segments, following the subtraction of the same lengths of segments from two segments that are congruent segments, are also congruent.

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The correct answer is interval 2. A function is a rule that relates each element in one set, called the domain, to exactly one element in another set, called the range.

It is a mathematical expression that takes an input, performs a calculation and produces an output.

In order to determine if dy/dx>0 and d2y/dx2<0 over interval 2, we must take the first and second derivatives of the function y=f(x). The first derivative of the function is dy/dx=2x-3 and the second derivative of the function is d2y/dx2=2.

Now, if we look at the graph, we can see that the function is increasing from 0 to 3 and then decreasing from 3 to 6. This means that over interval 2, which is from 3 to 6, the first derivative, dy/dx, must be negative. This means that dy/dx<0 over interval 2.

Furthermore, the second derivative, d2y/dx2, must be negative over interval 2 since the graph is decreasing over this interval. This means that d2y/dx2<0 over interval 2.

Therefore, the correct answer is interval 2 since it is the only interval for which both dy/dx>0 and d2y/dx2<0 are true.

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Answer:

The answer to your problem is, 0.275 0.273 0.400 and 0.300

Step-by-step explanation:

My calculation ( May not be correct )

P ( low iron or LI )  [tex]\frac{165}{600}[/tex] = 0.275

P ( low pH | LI ) = [tex]\frac{45}{165}[/tex] = 0.273

P ( low pH ) = [tex]\frac{150}{600}[/tex] = 0.400

P ( LI | Low pH ) = [tex]\frac{45}{150}[/tex] = 0.300

Thus by making these calculations the answer to your problem is, 0.275 0.273 0.400 and 0.300

Answer:

2520

because we need to multiply all the lengths to take out volume of piramid

Answer:

to find f(2), we need to substitute x=2 into the equation:

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

Simplifying:

f(2) = 3(4) - 4 + 4

f(2) = 12

Therefore, f(2) = 12.

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]f(2) = (3)(2^2) - 2(2) +4[/tex]

       [tex]= 12 - 4+ 4[/tex]

       [tex]= 12[/tex]

Answer:

the perimeter of the scalene triangle is 49 feet.

Step-by-step explanation:

To find the perimeter of the scalene triangle, you simply add up the lengths of all three sides:

Perimeter = 13 feet + 15 feet + 21 feet

Perimeter = 49 feet

Therefore, the perimeter of the scalene triangle is 49 feet.

Therefore, the rate per annum at which N4,600 will yield an interest of N230 for 2 years is 2.5%.

Percent is a term used to describe a fraction or ratio that represents a portion of 100. It is often represented by the symbol % and is commonly used to express a portion or a rate of change. For example, if an item is discounted by 20%, it means the price has been reduced by 20% of the original price or 20/100 of the original price. Similarly, if someone earns a grade of 85% on a test, it means they answered correctly 85 out of 100 questions.

Here,

7. To find the time (in years) in which a loan of N3,900 at the rate of 5% yields N585.60 in simple interest, we can use the formula:

I = P * r * t

where I is the interest, P is the principal, r is the interest rate, and t is the time in years.

Substituting the given values, we get:

585.60 = 3,900 * 0.05 * t

Solving for t, we get:

t = 3 years

Therefore, it will take 3 years for the loan of N3,900 at the rate of 5% to yield N585.60 in simple interest.

8. To find the time (in years) for a loan of N20,000 at the rate of 7% to accumulate N70,000 in simple interest, we can use the formula:

I = P * r * t

where I is the interest, P is the principal, r is the interest rate, and t is the time in years.

Substituting the given values, we get:

70,000 = 20,000 * 0.07 * t

Solving for t, we get:

t = 50 years

Therefore, it will take 50 years for the loan of N20,000 at the rate of 7% to accumulate N70,000 in simple interest.

9. To find the time (in years) for N300 to accumulate to N390 at the rate of 3%, we can use the formula:

I = P * r *t

where I is the interest, P is the principal, r is the interest rate, and t is the time in years.

Substituting the given values, we get:

90 = 300 * 0.03 * t

Solving for t, we get:

t = 10 years

Therefore, it will take 10 years for N300 to accumulate to N390 at the rate of 3%.

10. To find the year in which N5,100 will yield an interest of N170 at the rate of 2.5% per annum, we can use the formula:

I = P * r * t

where I is the interest, P is the principal, r is the interest rate, and t is the time in years.

Substituting the given values, we get:

170 = 5,100 * 0.025 * t

Solving for t, we get:

t = 2 years

Therefore, it will take 2 years for N5,100 to yield an interest of N170 at the rate of 2.5% per annum. If the interest is compounded, we would need to use the compound interest formula instead.

11. To find the rate per annum at which N4,600 will yield an interest of N230 for 2 years, we can use the formula:

I = P * r * t

where I is the interest, P is the principal, r is the interest rate, and t is the time in years.

Substituting the given values, we get:

230 = 4,600 * r * 2

Solving for r, we get:

r = 0.025 or 2.5%

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Answer:

reflection around the y-axis

Step-by-step explanation:

you really don't see that the picture just flipped from left to right and vice versa (around a central vertical mirror line through the black center dot) ?

to make it simple I just declare this line to be the y-axis.

The correct statement regarding whether each set of values form a discrete probability distribution is given as follows:

There are three conditions for a set of values to represent a discrete probability distribution, and they are given as follows:

Hence the sets are justified as follows:

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Answer:

1. The shape of each cut surface is the same shape as the base it is parallel to: a rectangle. It is an 8" by 10" rectangle

Step-by-step explanation:

B .The results of the chi-square goodness-of-fit test, with a chi-squared statistic of 5.4 and a p-value of 0.067, Silvia cannot reject the null hypothesis that her cat is equally likely to eat first from each of the three locations at the 0.05 significance level.

Therefore, the correct answer is B: There's not enough evidence to conclude that her cat prefers to eat first from some locations more than others. It is important to note that while the p-value is relatively close to the significance level of 0.05, it does not meet the threshold for statistical significance, and the sample size may not be large enough to draw definitive conclusions about the cat's feeding preferences.

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Answer: There's not enough evidence to conclude that her cat prefers to eat first from some locations more than others.

Step-by-step explanation: Since the P-value is greater than the significance level, we can't reject the null hypothesis. In this context, the null hypothesis is that cat is equally likely to choose each of the locations. (Got it right on Khan academy)

The first transformation was a rotation about point A.

The second transformation was a reflection across line M.

In Mathematics, a rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

By critically observing the diagram which illustrates the sequence of transformations, we can logically deduce that the first transformation was a clockwise rotation about point A by 180 degrees.

Furthermore, the second transformation that maps W'X'Y'Z' to W''X''Y''Z'' is a reflection across the line of reflection M.

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In response to the query, we can state that Therefore, the Pearson correlation coefficient r for the given points is approximately -0.758.

The relationships between various variables are described by correlations. Expressions might be strong, weak, positive, or negative. 1 = Correlation does not always imply causation. Correlation is a statistical indicator of the linear relationship between two variables (that is, do they change at a constant rate).

1 6 -3 1 9 1 -3

Σx = 28

Σy = 36

n = 7

Therefore, the correlation coefficient r for the given points is approximately -0.758.

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Answer:

it should give you the option right before you post the answer, what subjectand grade level

Step-by-step explanation:

The graph represents a proportional relation

From the question, we have the following parameters that can be used in our computation:

The graph

We can see that the lines pass through the origin

This means that the graph is a proportional relationship

From the graph. we have

(x, y) = (2, 400)

So, the unit rate is

Rate = 400/2

Rate = 200

The interpretation of this is that Mason's speed is 200 meters per minute

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Brady pays an additiοnal interest οf $583.33 each mοnth.

Tο calculate simple interest, multiply the principal amοunt by the interest rate and the time. The fοrmula written οut is "Simple Interest = Principal x Interest Rate x Time." This equatiοn is the simplest way οf calculating interest.

Let x be the additiοnal interest Brady pays each mοnth.

Since there are 12 mοnths in a year, the tοtal additiοnal interest he pays in a year is 12x.

Accοrding tο the prοblem, if Brady invests this additiοnal interest at the rate οf 3% fοr οne year, he will earn $210 in simple interest. Using the simple interest fοrmula, we have:

I = Prt

210 = 12x0.031

Simplifying this equatiοn, we get:

210 = 0.36x

Dividing bοth sides by 0.36, we get:

x = $583.33

Therefοre, Brady pays an additiοnal interest οf $583.33 each mοnth.

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Answer:

To determine Laars' gross earnings per pay period under different payment frequencies, we need to divide his annual salary of $90,000 by the number of pay periods in a year for each frequency.

a. Monthly: Laars will receive 12 paychecks per year, one per month.

Gross earnings per pay period = $90,000 / 12 = $7,500 per month

b. Semi-monthly: Laars will receive 24 paychecks per year, two per month.

Gross earnings per pay period = $90,000 / 24 = $3,750 per semi-monthly period (twice per month)

c. Biweekly: Laars will receive 26 paychecks per year, one every two weeks.

Gross earnings per pay period = $90,000 / 26 = $3,461.54 per biweekly period (every two weeks)

d. Weekly: Laars will receive 52 paychecks per year, one per week.

Gross earnings per pay period = $90,000 / 52 = $1,730.77 per weekly period (every week)

Therefore, Laars' gross earnings per pay period are $7,500 per month, $3,750 per semi-monthly period, $3,461.54 per biweekly period, and $1,730.77 per weekly period.

Answer:

- 2 - 3 is the same thing as -2 + -3. This is because taking away 3 is the same thing as adding - 3. -2 -3 is just a more simplified version of -2 + -3.

Hope this helps!