Help me out please and thank you

The inequalities that have the same graph as x<4 are:

Hence, option(B) , (C) and (D) are correct.

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

x +6 < 10 ⇒ x < 10-6 ⇒ x < 4

5x < 20 ⇒ x< 20/5 ⇒ x < 4.

x-2 > 2 ⇒ x < 2 + 2 ⇒ x < 4.

Hence, option(B) , (C) and (D) are correct.

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Your question is incomplete but most probably the question was:

Select all the inequalities that have the same graph as x <4.

A. x < 2.

B. x+6 < 10

C. 5x < 20

D.  x-2 > 2

E. x <8

Answer:

12

Step-by-step explanation:

Answer: y = x - 3

Step-by-step explanation:

Answer:

y = x+3

Step-by-step explanation:

First of all we have to find the equation of the line

Slope-intercept form is:

\(y=mx+b\)

Putting the value of slope

\(y=x+b\)

Putting the point in the equation

(-4,-1)

\(-2=-5+b\\b=-2+5\\b=3\)

So the equation is:

\(y=x+3\)

The graph is attached with the answer

Keywords: Equation of line, slope

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Answer:

I think the answer is -7

because : 3(-5) + 4(2)

-15 + 8

= -7

Answer:

w < 13

Step-by-step explanation:

variable: w

Inequality:  8 + 2w < 34

Solution:  2w < 26

                 w < 13

Answer:

B

Step-by-step explanation:

6-1+11 +8

5x+19

therefore the answer is 5x + 19

The expression which is equivalent to 5x - 19 is D) -3x + 4(2x - 6) + 5.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given an expression,

5x - 19

We have to find the equivalent expression.

Find the value of each expression in the options.

A) 7(4 - 2x) + 9 (x - 1) = 28 - 14x + 9x - 9 = -5x + 19

B) 6x - (x - 11) + 8

= 5x + 11 + 8 = 5x + 19

C) 10 - 3(x - 3) - 2x

10 - 3x + 9 - 2x = -5x + 19

D) -3x + 4(2x - 6) + 5

-3x + 8x - 24 + 5 = 5x - 19

Hence the correct option is D.

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Answer: &1,552.50

Step-by-step explanation: Step 1: Multiply Shaquana and Briana deposits of $230 times both interest rates.
Step 2: Shaquana dollar amount adds up to $1006.25. Brianna’s dollar amount adds up to $1,092.50.
Step 3: Multiply both totals times 18yrs.
Step 4: Subtract 18,112.50 from 19,665 and you find that Brianna will have $1552.50 more than Shaquana.

Brianna would have $290 more in her account than Shaquana after 18 years.

The final amount in Shaquana's account is:

\(A=230e^0^.^0^4^3^7^5^\times^1^8\)

\(A=230e^0^.^7^8^7^5\)

A=230×1.082

= $249

For Brianna, we have:

P = $230

r = 4.75% / 12 = 0.0039583333

t = 18 × 12 = 216 months

So, the final amount in Brianna's account is:

A = $230×(1 + 0.0039583333)²¹⁶

A=230(1.00395)²¹⁶

A=230×2.34

A=538.2

Therefore, the difference in the final amounts is:

$538.2 - $249= $289.2

So, Brianna would have $290 more in her account than Shaquana after 18 years.

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The value of the given expression [\(87^3+ 13^3/87^2 -87 * 13 + 13^2\)] by simplifying the numerator and denominator using suitable identities is 100.

We will first calculate the numerator:

As  (\(a^3\) + \(b^3\)) = (a + b)(\(a^2\) - ab + \(b^2\)) :

\(87^3\) + \(13^3\) = (87 + 13)(\(87^2\) - \(87 * 13\) + \(13^2\))

= 100(\(87^2\) - 87 * 13 + \(13^2\))

Now, calculate the denominator:

\(87^2 - 87 * 13 + 13^2\)

As,(\(a^2 -2ab +b^2\)) =\((a - b)^2\):

\(87^2 - 87 * 13 + 13^2 = (87 - 13)^2\)

\(= 74^2\)

So by solving the equation further:

\((87^3+13^3) / (87^2- 87 * 13+13^2) = 100*(87^2- 87 *13 + 13^2)/(87^2 - 87 * 13 + 13^2)\)

As we can see the numerator and denominator are the same expressions (\(87^2 - 87 * 13 + 13^2\)). so, they cancel each other:

\((87^3 + 13^3) / (87^2 - 87 * 13 + 13^2) = 100\)

So, the value of the given expression is 100.

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According to implicit differentiation, the depth of water varies at a rate of -0.0764 feet per minute.

The volume of a cone with radius r and height h may be calculated as follows:

V = (πr²h) ÷ 3

Using implicit differentiation, determine that it is the rate of change, as follows:

dV ÷ dt = ((2πrh ÷ 3) × (dr ÷ dt)) + ((πr² ÷ 3) × (dh ÷ dt))

In this case, the height is 12 feet and the radius is 10 feet, therefore h = 12 and r = 10

Because the radius does not change, dr ÷ dt = 0

Water seeps at an 8 cubic foot per minute pace, therefore dV ÷ dt = -8

Then:

dV ÷ dt = ((2πrh ÷ 3) × (dr ÷ dt)) + ((πr² ÷ 3) × (dh ÷ dt))

-8 = (π(10)² ÷ 3) × (dh ÷ dt)

dh ÷ dt = -24 ÷ 100π

dh ÷ dt = -0.0764

Water depth varies at a rate of -0.0764 feet per minute.

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The question is -

Consider a tank in the shape of an inverted right circular cone that is leaking water. The dimensions of the conical tank are a height of 12 ft and a radius of 10 ft. How fast does the depth of the water change when the water is 10 ft high if the cone leaks at a rate of 8 cubic feet per minute?

The Fourier series of the odd-periodic extension of  the Fourier series of the even-periodic extension of the function\(f(x) = 1+ 2x\). for x Here, we have\(f(x) = 1+ 2x for x€ (0, 2)\) We are going to find the Fourier series of the even periodic extension.

Determine the fundamental period of\(f(x)T = 4\) Step 2: Determine the coefficients of the Fourier series. The Fourier series of the even-periodic extension of\(f(x) = 1+ 2x.\) for x is given by: The Fourier series representation is unique.

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The total monetary amount of song downloads is $1080190

The percentage of amount paid for  video online sales = 15%

Number of times the songs downloaded in last year = 991000 times

Number of times the video downloaded in last year = 550000 times

The cost for each download of song = $1.09

The cost for each download of video = $9

The total monetary amount of song downloads = Number of times the songs downloaded in last year × The cost for each download of song

Substitute the values in the equation

Here we have to use multiplication

The total monetary amount of song downloads  = 991000 × 1.09

= $1080190

Therefore, the total amount for song download is $1080190

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Answer:

y =3x+4

Step-by-step explanation:

Answer:

x = 94°

Step-by-step explanation:

ABCD is a cyclic quadrilateral , its 4 vertices lie on the circle.

the opposite angles of a cyclic quadrilateral sum to 180° , that is

x + 86° = 180° ( subtract 86° from both sides )

x = 94°

The Sampling technique used in the given scenario is random sampling technique.

There are four main types of this sampling method:

In the sampling method known as random sampling, each sample has an equal chance of being chosen. The purpose of a randomly chosen sample is to fairly represent the total population. for example-A straightforward random sample might be 25 names chosen at random from a pool of 250 employees. Since every employee has same chance of being chosen, the sample in this case is random and the population in this case is all 250 employees.

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A square piece of cardboard with side length of 34 inches is needed to make the box.

Let the side of the square piece of cardboard be x inches.

After cutting out 7 inch squares from each corner, the dimensions of the base of the box will be (x-14) inches by (x-14) inches, and the height of the box will be 7 inches.

The volume of the box can be expressed as:

V = (x-14\()^2\)\(\times\)7

We know that the box is to hold 2800 in3, so we can set up an equation:

(x-14\()^2\)\(\times\) 7 = 2800

Simplifying and solving for x, we get:

(x-14\()^2\) = 400

x-14 = ±20

x = 34 or x = 6

Since the cardboard cannot have a side length of less than 7+7=14 inches, the only valid solution is x=34 inches.

Therefore, a square piece of cardboard with side length of 34 inches is needed to make the box.

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The magnitude of a number is the absolute value of the the number .Therefore, the magnitude of - 5.8 can be express below

The answer is B.

The unknown angle of the right triangle is as follows:

∠CBA = 28.8°

The triangle is a right triangle because one of its angle is equals to 90 degrees.

The angle  ∠CBA, can be found using trigonometric rations,

hence,

tan ∅ = opposite / adjacent

where

∅ = ∠CBA

Therefore,

tan ∠CBA = opposite / adjacent

opposite side = 5.6 m

adjacent side = 10.2 m

Hence,

tan ∠CBA = 5.6 / 10.2

tan ∠CBA = 0.54901960784

tan ∠CBA = 0.54901960784

∠CBA = tan⁻¹ 0.54901960784

∠CBA = 28.7676493388

∠CBA = 28.8°

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The substitution that has been applied to B(x, y) is dt B(x, y) = √(1+t) (1+t)x+y tx-1.

The substitution that has been applied to B(x, y) is t = tan² 0

The substitution for x and y using the trigonometric identities is given by,

x = sin² 0 / cos² 0 = tan² 0   …(1)

y = sin² 0   …(2)

Differentiating both sides of equation (1) with respect to θ, we get

dx / dθ = 2tan 0 sec² 0

Putting the values of x and y in B(x, y), we get

B(x, y) = I 25 (sin 0)² (sin² 0 / cos² 0)-1 (cos 0)² (sin² 0)-1 dθ

= I 25 (sin 0)² / cos² 0 * cos² 0 / sin² 0 dθ

= I 25 tan² 0 dθ

= 25

∫ t dt √1+t

Now, we need to find the value of dt B(x, y) in terms of t.

To find dt B(x, y), we use the chain rule of differentiation and get

dt B(x, y) = ∂B/∂x dx/dt + ∂B/∂y dy/dt

= 25(2 sin 0 cos 0 sin² 0 / cos³ 0) * 2 sin 0 cos 0 sin 0 cos 0 dθ

= 100 (sin 0)³ (cos 0)³ / cos⁴ 0 dθ

= 100 (sin 0)³ / cos 0 dθ

Now, putting the values of x, y, and t, we get

dt B(x, y) = 100 sin³ 0 / cos 0 dθ

= 100 sin³ θ / cos θ dθ

Using the identity 1+t = sec² 0 or cos² 0 = 1 / (1+t), we can rewrite the above integral as

∫ 100 sin³ θ / cos θ dθ

= ∫ (1+t) (1+t)½ dt

Substituting the limits, we get

∫ 100 sin³ θ / cos θ dθ

= ∫ √(1+t) (1+t)x+y tx-1 dt

Answer: dt B(x, y) = √(1+t) (1+t)x+y tx-1.

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Answer: I need to find the additive inverse of the number being su tracked. That number is -9.6. The additive inverse of -9.6 is 9.6.

Step-by-step explanation:

Answer:

Additive inverse can be defined as adding a number with the opposite or the negative of that number to equal zero. The additive inverse of 1 is (-1), the additive inverse of 2 is (-2) and so on.

Example: 5 + (-5) = 0

In this example, (-5) is the additive inverse.

You can then take additive inverse one step when finding the additive inverse when subtracting rational numbers.

Example: 7 - 4 = 7 + (-4)

3 = 3

When finding the inverse, it is important to keep in mind that what you do to one side, you must do the opposite to another. In the example above, because you subtracted a positive four on one side, you are going to add a negative four to the other. This will make the equation equal on both sides.

Step-by-step explanation:

Answer:

Its already solved, -4+25 does equal -4+25

Step-by-step explanation:

Answer:

you can solve this anymore....

Step-by-step explanation:

To find the total cost you would multiply the cost of a notebook by the number of notebooks purchased:

Total = 5n

The coordinates of the midpoint of the points (x1, y1) and (x2, y2) are ((x1+x2) /2,(y1+y2)/2).

The midpoint of two points is calculated by taking the average of the x-coordinates and the average of the y-coordinates. To calculate the midpoint, we can add the two x-coordinates together and divide by two to get the x-coordinate of the midpoint. Then we can do the same for the two y-coordinates. The formula for the midpoint then becomes ((x1+x2)/2,(y1+y2)/2).The coordinates of the midpoint of the points (x1, y1) and (x2, y2) are ( (x1+x2) / 2 , (y1+y2) / 2 ).

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The linear distance traveled in one revolution of a wheel can be calculated using the formula:

Circumference = π * Diameter

Given that the diameter of the wheel is 36 inches, we can substitute the value into the formula:

Circumference = π * 36 inches

Using an approximate value of π as 3.14159, we can calculate the circumference:

Circumference ≈ 3.14159 * 36 inches

Circumference ≈ 113.09724 inches

Therefore, the linear distance traveled in one revolution of a 36-inch diameter wheel is approximately 113.09724 inches.

Step-by-step explanation:

The numbers are 7227 and 4.

The statement "For any y in the interval [-3,3], f(x) = y for some x in the interval [-5, -1]" is sometimes true and sometimes false.

The statement is asking whether there exists an x in the interval [-5, -1] such that f(x) takes on any value y in the interval [-3, 3]. Since f(x) is a continuous function, it means that the graph of the function has no breaks or jumps in that interval.

If we know that f(1) = 3, it tells us that the function takes on the value 3 at x = 1. However, we don't have information about the behavior of the function in the interval [-5, -1]. It's possible that the function could have values outside the interval [-3, 3] in that range, which would make the statement false. On the other hand, if the function remains within the interval [-3, 3] for all x in [-5, -1], then the statement would be true.

In conclusion, without more information about the behavior of the function in the interval [-5, -1], we cannot determine whether the statement is always true or always false. It depends on the specific behavior of f(x) in that interval.

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Answer:

6/10 kg

Step-by-step explanation:

Ed bought 4 pieces of salmon weighing a total of 2 kilograms. One piece weighed 4/10 kg, and two of the pieces weighed 5/10 kg each. What was the weight of the fourth piece of salmon? Explained

Hence:

Total kg of salmon = 4/10 + 5/10 + 5/10 + fourth piece

Total kg = 2 kg

Hence,

Fourth piece = 2 kg - ( 4/10 + 5/10 + 5/10) kg

Lowest common denominator = 10

2 kg - (4 + 5 + 5/10)

2kg - (14/10)kg

2 kg - 1 4/10 kg

= 6/10 kg

The weight of the fourth piece =

6/10 kg

In year x, it rained on 40% of all Mondays and 20% of all Tuesdays:  in year x, it did NOT rain on 28% of all the weekdays.

To answer your question, we first need to determine the percentage of rainy days for Mondays and Tuesdays, and then find the percentage of non-rainy days for these two weekdays. After that, we can calculate the percentage of non-rainy days for all weekdays in year x.

1. Determine the percentage of rainy days for Mondays and Tuesdays:
- 40% of all Mondays had rain
- 20% of all Tuesdays had rain

2. Calculate the percentage of non-rainy days for Mondays and Tuesdays:
- Non-rainy Mondays: 100% - 40% = 60%
- Non-rainy Tuesdays: 100% - 20% = 80%

3. Determine the total percentage of non-rainy days for all weekdays in year x. Since we don't have information about the other weekdays, we'll assume that the rain probability for those days does not affect the overall percentage.

For this calculation, let's assume there are 52 Mondays and 52 Tuesdays in year x.

- Non-rainy Mondays: 0.60 * 52 = 31.2 days
- Non-rainy Tuesdays: 0.80 * 52 = 41.6 days
- Total non-rainy days for Mondays and Tuesdays: 31.2 + 41.6 = 72.8 days

- Total weekdays in year x: 5 weekdays * 52 weeks = 260 days

4. Calculate the percentage of non-rainy days for all weekdays in year x:

(Non-rainy days for Mondays and Tuesdays / Total weekdays in year x) * 100

(72.8 / 260) * 100 = 28%

Thus, in year x, it did NOT rain on 28% of all the weekdays.

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Variability between groups is due to the grouping factor.

The F ratio is a measure of the variability between groups relative to the variability within groups, but it is not the cause of the variability between groups.

In an experimental design, researchers often manipulate an independent variable to observe its effects on a dependent variable.

The independent variable is often a grouping factor, which means that participants are assigned to different groups based on some characteristic or condition.

Participants may be assigned to a treatment group or a control group, or they may be grouped based on age, gender, or some other factor.

The experiment is conducted, the dependent variable is measured in each group, and the researcher is interested in whether there are significant differences between the groups.

Variability between groups refers to the differences in the mean scores of the dependent variable between the different groups.

The grouping factor is the reason for the variability between groups.

This is because the different groups are defined by the levels of the grouping factor, and the participants within each group are assumed to be similar with respect to the dependent variable.

Any differences between the groups must be due to the effect of the grouping factor.

The F ratio, which is calculated by dividing the variability between groups by the variability within groups, is used to test whether the differences between the groups are statistically significant.

The F ratio is a measure of the extent to which the grouping factor explains the variability in the dependent variable, and a significant F ratio indicates that there are significant differences between the groups.

Variability between groups is due to the grouping factor, and the F ratio is used to test whether the differences between the groups are statistically significant.

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