Which system of inequalities is shown?

Answer:

3 times 4 minus a number, plus 7

3(4 - x) + 7

Yes, r=5 is a solution of inequality r<11.

Given the inequality is r<11

Given the value of r is, r=5

Since 5<11

So yes r=5 is the solution of the inequality r<11.

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The error made in subtracting the two rational expressions 1/(x - 2) - 1/x is that the common denominator is not correctly identified and applied.

To subtract rational expressions, we need to find a common denominator and then subtract the numerators. In this case, the common denominator should be (x - 2) * x. However, the error lies in neglecting the parentheses in the first expression, leading to a miscalculation of the common denominator.

The correct subtraction of the given expressions should be: (x - 2)/(x - 2) - 1/(x * (x - 2)). Simplifying this expression further would result in (x - 2 - 1)/(x * (x - 2)), which can be simplified as (x - 3)/(x * (x - 2)).

Therefore, the error made in the subtraction lies in incorrectly identifying and applying the common denominator, which resulted in an inaccurate calculation of the expression.

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Answer:

(B). 38 cm³

Step-by-step explanation:

V = a² \(\frac{h}{3}\)

a = 4.5 cm

h² = (6.1)² - ( \(\frac{4.5}{2}\) )² = 32.1475

h = √32.1475 ≈ 5.67

V = (4.5)²( \(\frac{\sqrt{32.1475} }{3}\) ) ≈ 38.27 ≈ 38 cm³

Answer:

\(38 cm^3\)

Step-by-step explanation:

Given the slant height and a base side length of a right square pyramid, we can use these numbers to solve for the volume.

The formula for the volume of a square pyramid is generally known as:

\(V = 1/3 a^2h\), where the variable 'a' represents the base side length and 'h' represents the height.

Since we are given the slant height, we can use Pythagorean's Theorem to calculate the height (non-slanted) when given a base side length by using the equation below:

\(a^2+b^2=c^2\)

This is a special case because this is a right square pyramid, meaning we can use C squared and substitute that for the given slant height, 6.1 cm. The leg of the right triangle, which is \(\frac{s}{2}\), takes place of 'b' which is 4.5. Now, given all of this, we can plug in our known values. Height is what we are solving.

\(h^2+\left(\frac{4.5}{2}\right)^2=6.1^2\)

Now we will simplify and solve everything, and we get h; or the height, which equals 5.668977.

Now we can finally use the general formula to solve the volume of a square pyramid.

\(V = 1/3 a^2h\)

Let's plug in everything now to find the volume — which we know that the height is approximately 5.66, and the base side length is 4.5.

\(V=\frac{1}{3}\left(4.5\right)^2\left(5.66\right)\)

The volume from this formula equates to 38.205 cm³, or roughly 38 cm³, meaning the answer is B.

Answer:

decreasing

Step-by-step explanation:

I put it in my calculators graph so

To determine which compounds are most likely to be soluble in water, we need to consider the general rules of solubility. While individual compounds may have specific solubility properties, there are some general guidelines that can help us make an educated guess:

Most nitrate (NO3-) compounds are soluble.

Most alkali metal (Group 1) compounds and ammonium (NH4+) compounds are soluble.

Most chloride (Cl-), bromide (Br-), and iodide (I-) compounds are soluble, except when paired with silver (Ag+), lead (Pb2+), or mercury (Hg2+) ions.

Most sulfate (SO4^2-) compounds are soluble, except when paired with calcium (Ca2+), strontium (Sr2+), barium (Ba2+), lead (Pb2+), or silver (Ag+) ions.

Based on these guidelines, we can determine which compounds are most likely to be soluble in water.

Regarding the second part of your question, to identify the measured number that contains two significant figures, we need to consider the rules for significant figures:

Non-zero digits are always significant.

Zeros between non-zero digits are significant.

Leading zeros (zeros before non-zero digits) are not significant.

Trailing zeros (zeros after non-zero digits and after a decimal point) are significant.

Trailing zeros without a decimal point are ambiguous and may or may not be significant, depending on the context.

Given the options:

A. 6.000

C. 11.0

D. 1.10 x 10^2

Option A, 6.000, contains three trailing zeros after the decimal point, indicating that these zeros are significant. Therefore, option A contains three significant figures.

Option C, 11.0, contains three digits, with the zero placed after the decimal point. This zero is significant as a trailing zero, making option C a number with three significant figures.

Option D, 1.10 x 10^2, is written in scientific notation. The coefficient, 1.10, contains two significant figures.

Therefore, the option that contains two significant figures is D. 1.10 x 10^2.

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Answer:

8 puppies

Step-by-step explanation:

Total = 40

Ratio = 1:4

Total Parts = 4+1 = 5

Divide this from the total

=> 40/5 = 8

Now, Multiply the result with the ratios:

=> 4 * 8 = 32

=> 1 * 8 = 8

Answer: total number of puppies:40

Ratio of puppies to adults;1:4

1x+4x=40… 1x puppies

4x adult dogs

5x=40:x=40/5=8

No. Of puppies=1*8(x=8)

No.of adult dogs=4*8:32

Based on the information provided, it can be concluded that the value for x is 7 cm and the value for y is 10 cm.

In the first triangular prism, it can be observed that the width is 8 cm, while in the second triangular prism, it can be observed the width is 4 cm. Based on this, it can be concluded the second triangular prim has half of the size of the first triangular prism. Now, let's calculate the new values:

x = 14 cm / 2 = 7 cm

y= 20 cm / 2 = 10 cm

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Answer:

$120-$47-$25+$50 which is $98

Step-by-step explanation:

Hope this helps :D

Hit the crown :D

Answer:

B) 120 - 47 - 25 + 50

Step-by-step explanation:

he has a whole of 120 then spends 47 and 25 but then gains 50 so the equation is 120-47-25+50

Answer:

21

Step-by-step explanation:

The amount of juice the cup can hold given that the cup has diameter of 8 centimeters and a height of 12 centimeters is 602.88 cm³

To know the amount of juice the cup can hold, we shall obtain the volume of the cup.

We shall use the formula for obtaining volume of cylinder to obtain the volume of the cup. Details below:

Volume = πr²h

Volume = 3.14 × 4² × 12

Volume = 3.14 × 16 × 12

Volume = 602.88 cm³

Thus, we can conclude from the above calculation that the amount of juice the cup can hold is 602.88 cm³

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The total area of the back and side walls that should be painted is 57 square meters.

To calculate the total area of the back and side walls that need to be painted, we need the dimensions of the walls. Let's assume we have the following dimensions:

Back Wall:

Height = 3 meters

Width = 5 meters

Side Wall 1:

Height = 3 meters

Length = 8 meters

Side Wall 2:

Height = 3 meters

Length = 6 meters

To calculate the area of each wall, we multiply the height by the width/length:

Area of Back Wall = Height * Width = 3 meters * 5 meters = 15 square meters

Area of Side Wall 1 = Height * Length = 3 meters * 8 meters = 24 square meters

Area of Side Wall 2 = Height * Length = 3 meters * 6 meters = 18 square meters

To calculate the total area of the back and side walls that need to be painted, we add up the individual areas:

Total Area = Area of Back Wall + Area of Side Wall 1 + Area of Side Wall 2

          = 15 square meters + 24 square meters + 18 square meters

          = 57 square meters

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The Probable question may be:

What is the total area of the back and side walls that need to be painted if the dimensions are as follows?

Back Wall:

Height = 3 meters

Width = 5 meters

Side Wall 1:

Height = 3 meters

Length = 8 meters

Side Wall 2:

Height = 3 meters

Length = 6 meters

Answer:

Did 14 & 15

Step-by-step explanation:

I don't understand your language, but I understand the terms. increase your point to 50 and I will solve all

Answer:

Your missing point would be 6.

Thee volume of the cone has a value of 1, 739. 60 cubic feet

The formula for calculating the volume of a cone is expressed as;

V = πr²h/3

Where;

From the information given, we have the values as;

Diameter = 19

But radius = Diameter/2

Now, radius = 18. 7/2 = 9.35 ft

Substitute the values into the formula

Volume = 3. 142( 9.35)² × 19/3

Find the value of the square

Volume = 3. 142(87. 42) × 6. 3

Multiply the values

Volume = 1, 739. 60 cubic feet

Hence, the value is 1, 739. 60 cubic feet

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The emf of a cell is mathematically given as

\(E_{cell}\)  = 0.0532 v

Generally, the equation for emf  is mathematically given as

\(Pb/Pb^2^+ //\ H / H_2\)

where,

Pb is lead

H is hydrogen

\(Pb^{2+}\) / Pb has a standard reduction potential of -0.126 volts, while

\(H_2\) / \(H_2\) has a standard reduction potential of 0.0 volts.

\(E_{cell }= E^0_{cell} - 0.059/n log 1/\)\([Pb^2^+] x [H^+]^2\)

\(E_{cell}\) = 0.126 -  0.059/2 log 1  /  [0.57] x [0.09]^2

\(E_{cell}\)  = 0.0532 v

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Answer:

407.720083 cm³

Step-by-step explanation:

Volume of a sphere:

V = (\(\frac{4}{3}\))πr³

= \(\frac{4}{3}\) x π x (4.6)³

= 407.720083 cm³

Answer:

\(volume = \frac{4}{3} \pi {r}^{3} \\ = \frac{4}{3} \times 3.146 \times {(4.6)}^{3} \\ = 408.3 \: {m}^{3} \)

Answer:

42 ounces.

Step-by-step explanation:

First, divide the 28 ounces by the 12 cups. You would then have 2.33333333333 ounces of beef needed for one cup of soup. Then, you would multiply that by 18, and you would get 48.

A. The linear equation is: y = 60x + 45

B. The graphed equation is shown in the attachment below.

A linear equation is defined as, y = mx + b, where the initial value = b; unit rate = m; x and y are the variables.

A. In this situation given, we have:

Substituting the values into y = mx + b, we would have the equation as:

y = 60x + 45

B. The graph of the equation is shown in the image attached below.

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The Cartesian equation for the curve is  x^2 = 3y^2 - 9y^4 and it  represents a limaçon.

The equation given, r = 3 cos(theta), represents a polar equation. To convert it into a Cartesian equation, we can use the following relationships between polar and Cartesian coordinates:

x = r * cos(theta)

y = r * sin(theta)

Substituting the given value of r = 3 cos(theta) into these equations, we get:

x = 3 cos(theta) * cos(theta) = 3 cos^2(theta)

y = 3 cos(theta) * sin(theta) = 3 cos(theta) * sin(theta)

Simplifying these equations, we have:

x = 3 cos^2(theta)

y = 3 cos(theta) * sin(theta)

To eliminate the trigonometric functions, we can use the identity cos^2(theta) + sin^2(theta) = 1. Rearranging this equation, we have sin^2(theta) = 1 - cos^2(theta).

Substituting this into the equation for y, we get:

y = 3 cos(theta) * sin(theta)

y = 3 cos(theta) * sqrt(1 - cos^2(theta))

Now we have the Cartesian equation for the curve:

x = 3 cos^2(theta)

y = 3 cos(theta) * sqrt(1 - cos^2(theta))

By simplifying further, we can obtain:

x^2 = 3y^2 - 9y^4

The resulting Cartesian equation represents a limaçon, which is a type of curve characterized by its loop-like shape. Therefore, the curve defined by the polar equation r = 3 cos(theta) is a limaçon.

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Question :

Justin, Cam, and Ben are playing a board game where exactly one player will win. Ben estimates that Justin has a 20%, percent chance of winning each game and that Cam has a 50%, percent chance of winning each game. What is the probability that Ben will win the board game?

Answer: 30%

Step-by-step explanation:

Given the following :

Justin's chance of winning each game = 20%

Cam's chance of winning each game = 50%

Therefore, probability of :

Justin winning = 20/100 = 0.2

Cam winning = 50/100 = 0.5

Overall probability = 100% = 1

Therefore,

P(Justin winning) + P(Cam winning) + P(Ben winning) = 1

0.2 + 0.5 + P(Ben winning) = 1

P(Ben winning) = 1 - 0.7

P(Ben winning) = 0.3

0.3 = 30%

I don't know either that's why I came here but there was no answer soooooooooooo

Answer:

the last one is -4 the first one -2 I think

Step-by-step explanation:

im at this level of math

When the line to be examined's slope is known, and the provided point also serves as the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b).

When should you use point-slope form?

When the slope of the line being studied is known, and the provided point is also the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b). The y value of the y intercept point is represented by b in the equation.

One of the three ways we can express a straight line is using the point slope form, also known as the point-gradient form. By merely knowing one point on the line and the slope of the line, we may use this form to get the equation of the line.

The slope and y-intercept of the matching line can be rapidly determined when we have a linear equation in slope-intercept form. This enables us to graph it as well.

The equation of a line can be represented in either slope-intercept form or point-slope form.

Slope-intercept form:

The slope-intercept form of a line is given by y = mx + b, where m is the slope of the line and b is the y-intercept.

To find the equation of the line passing through the points (3,5) and (6,11) in slope-intercept form, we can use the point-slope formula to find the slope and then use one of the points to find the y-intercept.

Point-slope form:

The point-slope form of a line is given by y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line.

To find the equation of the line passing through the points (3,5) and (6,11) in point-slope form, we can use the point-slope formula and one of the points.

Using the point-slope formula, the slope of the line is (11 - 5) / (6 - 3) = 6/3 = 2.

So, the equation of the line in slope-intercept form is:

y = 2x + b

We can use the point (3,5) to find the y-intercept:

5 = 2 * 3 + b

Solving for b, we get b = -1.

So the equation of the line in slope-intercept form is:

y = 2x - 1

In point-slope form, using the point (3,5), the equation of the line is:

y - 5 = 2(x - 3)

Both forms represent the same line, just in different ways.

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The slope of the line perpendicular to the line 2x - 12y = 120 will be -6.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

We have the following equation -

2x - 12y = - 120

Rearranging the equation, we get -

2x - 12y = 120

12y = 2x - 120

6y = x - 60

y = (1/6)x - 10

The slope of the line perpendicular to the line 2x - 12y = 120 will be -

m[2] = -1 / (1/6) = - 6

m[2] = - 6

Therefore, the slope of the line perpendicular to the line 2x - 12y = 120 will be -6.

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The mean and the median are 55.75 and 52, respectively

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

18,66,30,93,86,35,80,38

The mean is calculated as

mean = sum/count

So, we have

mean = (18 + 66 + 30 + 93 + 86 + 35 + 80 + 38)/8

mean = 55.75

For the median, we sort the numbers in ascending order

So, we have

18 30 35 38 66 80 86 93

Next, we have

Median = 1/2 * (38 + 66)

Evaluate

Median = 52

Hence, the mean and the median are 55.75 and 52, respectively

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