*20 POINTS* find the value of x ? x = ___

Law of syllogism:

If p, then q

If q, then r

Conclude:

If p, then r

Given situation:

p: complete this review

q: do well on the test

r: get an “A” on my progress report

If p, then q: If I complete this review, then I will do well on the test

If q, then r: If I do well on the test, then I will get an “A” on my progress report

Conclusion:

Answer:3.7

Step-by-step explanation:

I had this on a quiz

The most accurate measurement for the amount of water in the jug is 3.7 L.

Amount is a term used to describe the quantity or magnitude of money, goods, services, securities, or other assets. It is typically measured in terms of currency (dollars, euros, etc.), but it can also be measured in terms of units of account (such as points, credits, or tokens). Amount is an important concept in economics, finance, and accounting, and is essential for understanding the dynamics of the financial system. The total amount of money in circulation, for example, affects the rate of inflation and the level of economic activity.

3.7 kg is equal to 3,700 grams.
Since 1 liter of water is equal to 1,000 grams, 3,700 grams of water is equal to 3.7 liters.
Therefore, the most accurate measurement for the amount of water in the jug is 3.7 L.

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Answer:

volume of a cylindrical water tank = 70,650cm³

Step-by-step explanation:

volume of cylinder, V = πr²h

where π = 3.14

h = 100cm

r = ?

given is diameter = 30cm

r = d/2 = 30/2 = 15cm

substituting the values in the formula,

V = 3.14 * 15² * 100

= 3.14 * 225 * 100

= 70,650cm³                        

Answer:

How much space it would take up: 706.86 square centimeters of floor space and extend vertically to a height of 100 cm

Volume: 706,500 cm³

Step-by-step explanation:

How much space it would take up:

To determine the space occupied by a cylindrical water tank in a room, we need to consider its dimensions and the area it covers on the floor.

The diameter of the tank is given as 30 cm, which means the radius is half of that, 15 cm.

To calculate the space it occupies on the floor, we need to find the area of the circular base. The formula for the area of a circle is A = πr², where A is the area and r is the radius.

A = π(15 cm)²

A = π(225 cm²)

A ≈ 706.86 cm²

So, the circular base of the tank occupies approximately 706.86 square centimeters of floor space.

The height of the tank is given as 100 cm, which represents the vertical space it occupies in the room.

Therefore, the cylindrical water tank would take up 706.86 square centimeters of floor space and extend vertically to a height of 100 cm in the room.

Volume:

To calculate the volume of a cylindrical water tank, we can use the formula V = πr²h, where V is the volume, r is the radius, and h is the height.

First, we need to find the radius by dividing the diameter by 2:

Radius = 30 cm / 2 = 15 cm

Now we can calculate the volume:

V = π(15 cm)²(100 cm)

V = 3.14 * 225 cm² * 100 cm

V = 706,500 cm³

Therefore, the cylindrical water tank will occupy a volume of 706,500 cm³ or 706.5 liters.

Answer:

It should be 13

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Since 5 is positive and 8 is negative, then you can just add the two.

5 + 8 = 13

Or use the distance formula:

Distance = \(\sqrt{(x_{2} - x_{1}) ^{2} + (y_{2} - y_{1})^{2} }}\\\\\sqrt{(7 -7) ^{2} + (5 - (-8)) ^{2}}\\\\\sqrt{0 + 169} \\\\Approximately 13\\\)

Answer:

he spent 2hours 50minutes snowboarding

the time he spent skiing and snowboarding minus the time he skied

5hours minus 2hours 10minutes

The perimeter of the given triangle with given lengths is; 78

The perimeter of a triangle is defined as the sum total of the 3 side lengths of the triangle.

Now, we are given the triangle as QRS.

We are given that;

A is the midpoint of QR

B is the midpoint of RS

C is the midpoint of SQ

Thus;

QA = RA = 10

BR = SB = 15

SQ = 28

Thus;

Perimeter of Triangle = 2(10) + 2(15) + 28 = 78

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wish I could be useful :(  

Step-by-step explanation:

Answer:

A: -3x+7>-17

B: x<8

Step-by-step explanation:

I think those are the answers. I would explain it but im not great at teaching things.

The height of the hill is approximately 25.73 ft. Where v0 is the initial velocity (108 ft/s), g is the acceleration due to gravity \((-32.2 ft/s^2)\),

To find the height of the hill, we can use the formula for the vertical position of an object under constant acceleration:

h = h0 + v0t + 1/2at^2

where h is the final height, h0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity (-32.2 ft/s^2).

In this case, we are given that the initial height h0 is 3 ft, the initial velocity v0 is 108 ft/s, and the time t is 9.5 s. We want to find the height of the hill, which we can denote as h_hill. The final height is the height of the plain, which we can denote as h_plain and assume is zero.

At the highest point of its trajectory, the arrow will have zero vertical velocity, since it will have stopped rising and just started to fall. So we can set the velocity to zero and solve for the time it takes for that to occur. Using the formula for velocity under constant acceleration:

v = v0 + at

we can solve for t when v = 0, h0 = 3 ft, v0 = 108 ft/s, and a = -32.2 ft/s^2:

0 = 108 - 32.2t

t = 108/32.2 ≈ 3.35 s

Thus, it takes the arrow approximately 3.35 s to reach the top of its trajectory.

Using the formula for the height of an object at a given time, we can find the height of the hill by subtracting the height of the arrow at the top of its trajectory from the initial height:

h_hill = h0 + v0t + 1/2at^2 - h_top

where h_top is the height of the arrow at the top of its trajectory. We can find h_top using the formula for the height of an object at the maximum height of its trajectory:

h_top = h0 + v0^2/2a

Plugging in the given values, we get:

h_top = 3 + (108^2)/(2*(-32.2)) ≈ 196.78 ft

Plugging this into the first equation, we get:

h_hill = 3 + 108(3.35) + 1/2(-32.2)(3.35)^2 - 196.78

h_hill ≈ 25.73 ft

If the arrow is launched at t0, the equation describing velocity as a function of time would be:

v(t) = v0 - gt

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The expression (sinx + cosx)^2 + (sinx - cosx)^2 simplifies to

To simplify the expression (sinx + cosx)^2 + (sinx - cosx)^2 using trigonometric identities, we can expand and simplify the expression.

Expanding the squared terms

(sin^2x + 2sinxcosx + cos^2x) + (sin^2x - 2sinxcosx + cos^2x)

Using the trigonometric identity sin^2x + cos^2x = 1, we can simplify further:

(1 + 2sinxcosx + 1) + (1 - 2sinxcosx + 1)

Simplifying the expression, we have:

2 + 2sinxcosx + 2

Combining like terms, we get:

4 + 2sinxcosx

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Using the given transformations, namely translation and dilation, the correct statement is given as follows:

Segments YZ and Y''Z'' are proportional after the dilation and congruent after the translation.

The translation rule in this problem is given as follows:

(x, y) -> (x + 1, y - 1).

Meaning that the triangle was shifted:

The only change with the dilation was in the position of the triangle, hence the translated triangle is congruent to the original triangle.

The triangle was dilated by a scale factor of 4, meaning that the coordinates of each vertex of the triangle is multiplied by 4, changing the side lengths of the triangle, thus the dilated triangle is not congruent to the original triangle.

The angles keep the same measure for both cases, translation and dilation, hence the first two statements are incorrect.

The change in the side lengths is proportional, due to the scale factor of 4, hence the correct statement is:

Segments YZ and Y''Z'' are proportional after the dilation and congruent after the translation.

The correct options are missing and are given by the image at the end of the answer.

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Answer:

24,000

Step-by-step explanation:

615 ≈ 600

38 ≈ 40

600 × 40 = 24,000

Therefore, 615 × 38 ≈ 24,000

The simplified sum is 191/30.In mixed number form, this is 6 and 11/30.3 2/3 + 2 7/10 equals 6 and 11/30.

To add the mixed numbers 3 2/3 and 2 7/10, we can follow these steps:First, convert both mixed numbers into improper fractions.

3 2/3 = (3 * 3 + 2)/3 = 11/3

2 7/10 = (2 * 10 + 7)/10 = 27/10

Now, we have 11/3 + 27/10.

To find a common denominator, we multiply the denominators: 3 * 10 = 30.Rewriting the fractions with the common denominator, we have 110/30 + 81/30.

Adding the numerators, we get 110 + 81 = 191.

The sum is 191/30.

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 1.

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Answer:

I dont know because your picture is sideways and i cannot think whilst my head is tilting sideways to view a problem. Sorry,

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

15.50/2.50=6.2 or 6

6/2=3

10.00/3.00=3.33333 or 3

3=3

Answer:

100

Step-by-step explanation:

40 / 100= .4

.4 x 45 = 18

18/18= 1

1x 100= 100

Answer:

100

Step-by-step explanation:

:D

Answer:

Step-by-step explanation:

Answer:

D. 2

Step-by-step explanation:

The y-intercept is when the graph crosses the y-axis when x = 0. In that case, simply plug in x as 0:

y = -1/2(0) + 2

y = 2

Therefore, the graph crosses the y-axis at 2.

Answer:

D

Step-by-step explanation:

our equation is y= \(\frac{-1}{2}\) x +2

so the answer is 2

if we want to verify our answer we can follow these steps

the y-intercept is given by calculating the image of 0

so it's right

Answer: I'd be happy to help you with these problems!

1a.

i. Cardinal: There were 10 apples in the basket.

ii. Ordinal: He came in first place in the race.

iii. Nominal: My favorite color is blue.

i. 1997 in Roman numerals is MCMXCVII.

ii. 15-03-2023 in Roman numerals is XV-III-MMXXIII.

2a.

2√128 - √243 + 5√125 + √27 - √80 - 162 + √98

First, simplify the square roots:

2√64·2 - 3√81·3 + 5√25·5 + √9·3 - √16·5 - 162 + √49·2

Next, simplify further:

2·8√2 - 3·3√3 + 5·5√5 + 3√3 - 4√5 - 162 + 7√2

Combine like terms:

15√2 - √3 + 8√5 - 162 - 4√5 + 7√2

Simplify further:

22√2 + 4√5 - √3 - 162

b.

1.3555555555.... can be written as 1.36 in 7º.

c.

Village A has a funeral every 10 days, so it will have a funeral on March 4th, March 14th, March 24th, etc.

Village B has a funeral every 15 days, so it will have a funeral on March 4th, March 19th, April 3rd, etc.

Village C has a funeral every 20 days, so it will have a funeral on March 4th, March 24th, April 13th, etc.

To determine the next time all three villages will have a funeral on the same day, find the least common multiple of 10, 15, and 20.

10 = 2 x 5

15 = 3 x 5

20 = 2 x 2 x 5

The least common multiple is 2 x 2 x 3 x 5 = 60.

So, the next time all three villages will have a funeral on the same day is 60 days after March 4th, which is May 3rd, 2023.

Comment if you have any more questions.

Step-by-step explanation:

K=7,

F+G=K+7

F+G=7+7

F=7, G=7 proved

Answer: 1238.916

Step-by-step explanation:

A = (Bh)/3

B = 14.7 x 14.7

The area of a pyramid is the formula at the top. B in the formula at the top is the Base. The reason it is capitalized is because B is also a formula. You need to find the area of the base of the pyramid and plug it into the equation. It this case, the base is equal to the second equation above.

Answer: 18

Step-by-step explanation:

\(\triangle HJK \cong \triangle HLK\) by HL. Therefore, \(JK=2\) by CPCTC.

Using the segment addition postulate, \(GK=9\).

Furthermore, \(\triangle HGK \cong \triangle HMK\) by HL. This means that \(MK=9\) by CPCTC.

Using the segment addition postulate again, \(GM=9+9=18\).

Answer:

(x+5)^2

Step-by-step explanation:

(x+5)^2 Using the foil method 5+5=10 and 5x5=25

The required equation that represent the hanger is 10 + 5x = 11 and the value of x is 1/5.

Given the diagram of the hanger which one side has 10 + 5x  and other side has 11.

To find the equation, equate the expression of one side to the numerical value of the other side. On solving the equation gives the value of x.

Thus, the equation is 10 + 5x = 11.

Consider the equation 10 + 5x = 11

On subtracting 10 from each side gives,

5x = 1

Divide each side by 5 gives,

x = 1/5.

Hence,  the required equation that represent the hanger is 10 + 5x = 11 and the value of x is 1/5.

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Answer:

m < -175/k

f = -11 + \(\frac{3}{5}\)c

Step-by-step explanation:

Part A:

-mk - 90 > 85

add 90 to each side to get:

-mk > 175

divide each side by -k to get:

m < -175/k

(inequality symbol switched because we divided by a negative)

Part B:

3c - 5f = 55

subtract 3c from each side to get:

-5f = 55 - 3c

divide each side by -5 to get:

f = -(55 - 3c) / 5  or -11 + \(\frac{3}{5}\)c

Answer:

2x + 3 ≥ 6

2x + 3 - 3 ≥ 6 - 3

2x ≥ 3

2x ÷ 2 ≥ 3 ÷ 2

x ≥ 1.5

Total 48 routes are possible for the hiking group to go from the town to

the village to the waterfall to their campsite.

Selections and combinations are synonyms. Combinations represent the choosing of items from a predetermined group of items. We're not trying to arrange anything here.

The combination formula is used to determine how many options there are for choosing things from a collection so that the order in which they are chosen is irrelevant. Combination, to put it simply, is the choosing of items or things from a bigger group when the order doesn't important.

Given:

Total Van to choose= 4

Total Bicycle to choose= 2

Total trails to choose = 6

So, the possible routes that can be chosen for hiking

= 4x 2 x 6

= 8 x 6

= 48 ways

Hence, there 48 possible ways.

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