5x-4[7+(2x-4)], for x=-3

Answer:

44.65 inches

Step-by-step explanation:

Height of ramp = 16 inches

Length of ramp, l

Angle formed by ramp and ground = 21°

Using Pythagoras :

Sinθ = opposite / hypotenus

Sin21° = 16 / l

0.3583679 = 16 / l

0.3583679 * l = 16

l = 16 / 0.3583679

l = 44.646855 inches

Hence, length of ramp is 44.65 inches

Answer:

y=5

Step-by-step explanation:

It has same slope of y=3, which means it is also a horizontal line. A horizontal slope will only have one y value. So, if we use the point (1, 5), we can say that the equation is y=5.

Answer:

Step-by-step explanation:

Answer:

Check Below

Step-by-step explanation:

given things  : 1. height of cone  = 22* 1/4 feet or  89/4 feet

                       2.  diameter of cylinder = 2* 2/5 times of height

                                                          =  12/5 times of height or 12/5 * 89/4

                                                           = 89*3/5 feet

now formula of volume of cone =  Pi R² * H

                                                       = (3.14) ( D/2)² * H

                                                       = (3.14)*  (89*3/10)² * 89/4

                                                       = (3.14) * (26.7)² * 22.25

                                                       = (3.14) * 712.89 * 22.25

                                                       =  (49806.06)

Hope u find this answer Helpful !

Answer:

5.025m

Step-by-step explanation:

The clothesline also creates an upside-down triangle with two sides being 5m, 0.5m, and the hypotenuse being the clothesline.

We can use the pythagorean theorem to find the length of the clothesline.

5 squared +.5 squared= the length of the clothesline squared

25+.25= the square root of 25.25

= 5.025

Answer:

Your answer would be:
5.025m

Step-by-step explanation:

5 sq + 0.5sq = the length of the clothesline sq

25 + 0.25= the square root of 25.25

= 5.025m



Have a great rest of your day
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Answer:

440cm (to 3 s.f.)

Step-by-step explanation:

circumference= πd

= π×140

= 440cm (to 3 s.f.)

Given:

The expression is:

\(x^2-3x+4+2x^2-x-12\)

To find:

The terms and like terms in the expression.

Solution:

Terms: Variables, constants and product of variable and constants are known as terms which are separated by addition sign "+".

Like terms: The terms which contain same variables with same power are known as like terms.

The given expression is:

\(x^2-3x+4+2x^2-x-12\)

It can be rewritten as:

\(x^2+(-3x)+4+2x^2+(-x)+(-12)\)

Terms are \(x^2,-3x,4,2x^2,-x,-12\).

Like terms are \(x^2,2x^2\) and \(-3x,-x\) and \(4,-12\).

The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

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Answer:

Semicircle

Step-by-step explanation:

As we can see, the arc is bounded by the chord MO

since the chord passes through the center of the circle, we have it that the chord is a diameter

Mathematically, an arc bounded by a diameter represents half of a circle

So we can conclude that the arc MNO in circle C is a semicircle

Modern numbers are the ten numerical digits used in constructing other numbers.

Modern numbers are also called Arabic numerals. They are the ten numerical digits:

0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.

Uses of modern numbers;

Hence, modern numbers are the ten numerical digits used in constructing other numbers.

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The probability density of a random variable is given in the form of a triangular shape with co-ordinates (0, 0), (0.5, 2), (1, 0). The probability that X is at least 0.5 is equal to the area under the curve of X when x  0.5. Option (c) 1/2 is the correct answer.

Given, probability density of a random variable x is given in the following figure.The probability that x is at least 0.5 can be calculated as follows:

From the given graph, it is observed that the probability density of a random variable is given in the form of a triangular shape with the following co-ordinates (0, 0), (0.5, 2), (1, 0).The probability density function of a continuous random variable X is represented by the area under the curve.The probability that X is at least 0.5 is equal to the area under the curve of X when x ≥ 0.5.

The total area under the curve is given as follows:

Area of triangle OAB = 1/2 × OA × OB

= 1/2 × 0.5 × 2

= 0.5

The probability that X is at least 0.5 can be calculated as follows:

Area under the curve for X when x ≥ 0.5= Area of triangle OCD

= 1/2 × CD × OD

= 1/2 × (1 – 0.5) × (2 – 0)

= 0.5

The probability that X is at least 0.5 is 0.5 or 1/2. Therefore, option (c) 1/2 is the correct answer.

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Answer:

The answer is C

Step-by-step explanation:

I had to redo the answer cause someone took it down for know reason but there you go.

The equation of a line of best-fit that reflects a negative correlation is y = mx + b, where the slope m is negative.

When analyzing a scatter plot, a negative correlation indicates that as the independent variable increases, the dependent variable decreases. In the equation y = mx + b, the negative slope m represents the rate of decrease in the dependent variable for each unit increase in the independent variable. A negative slope means that as the x-values increase, the corresponding y-values decrease. The y-intercept b represents the value of the dependent variable when the independent variable is zero. Thus, the equation y = mx + b with a negative slope indicates a negative correlation between the variables being studied.

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"What is the equation of the line of best fit that represents a negative correlation between two variables?"

Step-by-step explanation:

let's say x stands for years.

FFR(x) is a function that calculates the number of fast food restaurant after x years.

FFR(x) = 2x + 13

they have 13 fast food restaurants right now (x = 0).

in 4 years (x = 4) they think they will have 21. that is 8 more than now. that means 2 more per year (2×4 = 8). therefore the factor 2 for every year (x).

FFR(4) = 2×4 + 13 = 8 + 13 = 21

Answer:

Question 4:  \(y=\displaystyle -\frac{4}{5}x\)

Question 5: \(y=-5x-3\)

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: \(y=mx+b\) where m is the slope of the line and b is the y-intercept (the y-coordinate of the point where the line crosses the y-axis).

Question 4

1) Determine the slope (m)

\(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\) where two points that pass through the line are \((x_1,y_1)\) and \((x_2,y_2)\)

In the graph, two easy-to-identify points on the line are (-5,4) and (5,-4). Plug these into the equation:

\(\displaystyle m=\frac{-4-4}{5-(-5)}\\\\\displaystyle m=\frac{-4-4}{5+5}\\\\\displaystyle m=\frac{-8}{10}\\\\\displaystyle m=-\frac{4}{5}\)

Therefore, the slope of the line is \(\displaystyle -\frac{4}{5}\). Plug this into \(y=mx+b\) as the slope (m):

\(y=\displaystyle -\frac{4}{5}x+b\)

2) Determine the y-intercept (b)

On the graph, we can see that the line crosses the y-axis when y is 0. Therefore, the y-intercept (b) is 0. Plug this into \(y=\displaystyle -\frac{4}{5}x+b\):

\(y=\displaystyle -\frac{4}{5}x+0\\\\y=\displaystyle -\frac{4}{5}x\)

Question 5

1) Determine the slope (m)

\(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)

Two easy-to-identify points are (-1,2) and (0,-3). Plug these into the equation:

\(\displaystyle m=\frac{-3-2}{0-(-1)}\\\\\displaystyle m=\frac{-3-2}{0+1}\\\\\displaystyle m=\frac{-5}{1}\\\\m=-5\)

Therefore, the slope is -5. Plug this into \(y=mx+b\):

\(y=-5x+b\)

2) Determine the y-intercept (b)

On the graph, we can see that the line crosses the y-axis at the point (0,-3). The y-coordinate of this point is -3. Therefore, the y-intercept (b) is -3. Plug this into \(y=-5x+b\):

\(y=-5x+(-3)\\y=-5x-3\)

I hope this helps!

The zeroes of the polynomial functions are listed below:

Polynomials are algebraic constructions whose form is summarized by the following sum:

p(x) = ∑ cₙ · xⁿ, for n ∈ {0, 1, ..., m}

An alternative form to describe polynomials is using products of binomials of the form (x - r), where r is a root (zero) of the polynomial. The root of the polynomial is a value such that the result of the expression is equal to zero.

Then, we proceed to find the zeros of each polynomial function:

1) f(x) = 2 · x · (3 - x) · (x + 1). Roots: 2, 3, - 1.

2) f(x) = 2 · (x - 3) · (x + 2)² · (x - 1). Roots: 3, - 2 (multiplicity 2), 1

3) f(x) = x³ · (x - 2) · (x + 3). Roots: 0 (multiplicity 3), 2, - 3.

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The sale price of the jeans would be $73.09

Answer:

20=24

8. =? Cross multply

Answer:

The answer would be -2 1/6

Step-by-step explanation:

The arrow goes to the left side because it is negative. -1/3 would be equal to -2/6. -5/6 + -1/6 + -1/6 = -1 1/6. Add the 1 and you get -2 1/6!

Hope this helped ^^

By using  1-PsiTarget(H15, 500) we compute the probability of cell H15's value exceeding 500 in a spreadsheet simulation.

PsiTarget is a function commonly used in spreadsheet simulation software to calculate probabilities.

The first argument (H15) specifies the cell you want to calculate the probability for.

The second argument (500) represents the target value you want to compare against.

The PsiTarget function returns the probability of the cell's value being less than or equal to the target value.

By subtracting this probability from 1, you get the probability of the cell's value exceeding the target value.

Therefore, the correct formula to compute the probability of cell H15's value exceeding 500 is 1-PsiTarget(H15, 500).

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Answer: The answer is B I swear

Step-by-step explanation:

Answer:

A)

Step-by-step explanation:

Just did it on Edg 2020

9514 1404 393

Answer:

  B)  x = 4

Step-by-step explanation:

You observe that the smaller number of (+1) tokens is 2 of them, found on the right side. Remove 2 (+1) tokens from each side to get ...

  x + 4 = 2x

The smaller number of (x) tokens is 1, found on the left side. Remove 1 (x) token from each side to get ...

  4 = x . . . . . matches choice B

_____

Comment on this approach

In general, this is a decent approach to use for solving any linear equation. You may find that x and number tokens end up on the same side of the equal sign (with 0 on the other side). Then you need to add some number of (-1) tokens to both sides to cancel the ones on the side with x.

At the end, you may need to split the problem evenly into equal parts according to the number of times x appears. (If this had been x+6 = 3x+2, then you would end with 4=2x. Splitting that into two equal parts, each would be 2=x.)

When two inner angles are stated as 61° and 52° in the sixth figure, x and y are both set to 67°.

A circle is created in the plane by each point that is a specific distance from another point (center). Thus, it is a curve made up of points that are separated from one another by a defined distance in the plane. Additionally, it is rotationally symmetric about the center at every angle. Every pair of points in a circle's closed, two-dimensional plane are evenly spaced apart from the "center." A circular symmetry line is made by drawing a line through the circle. Additionally, it is rotationally symmetric about the center at every angle.

given

in 6th figure

61° + 52° + x = 180° ( sum of exterior angle )

113° + x = 180°

x = 67°

y = 67°

When two inner angles are stated as 61° and 52° in the sixth figure, x and y are both set to 67°.

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Answer:

The sequence is the ratio of 4:8, or 16:32. This is because the sequence needs to be divided into 2 different factors in order for it to match. The sequence is...

add 4, add 8, add 16, continue on.

The formula is...

4 * x = sequence

In this case, x is the increasing factor. I substituted it due to the fact that it's a constantly increasing number, not just a straight-up number we can declare.

Answer:

vertex : (3, -3)

maximum

Between 1 and 200, there are 66 numbers that are divisible by either 4 or 6.

To find the numbers between 1 and 200 that are divisible by 4 or 6, we need to determine the count of numbers divisible by 4 and the count of numbers divisible by 6, and then subtract the count of numbers divisible by both 4 and 6 (since they would be counted twice).

Divisibility by 4:

To find the count of numbers divisible by 4, we divide 200 by 4 and round down to the nearest whole number. So, 200 divided by 4 equals 50, meaning there are 50 numbers divisible by 4 between 1 and 200.

Divisibility by 6:

Similarly, to find the count of numbers divisible by 6, we divide 200 by 6 and round down. 200 divided by 6 equals approximately 33.33, so there are 33 numbers divisible by 6 between 1 and 200.

Numbers divisible by both 4 and 6:

To find the count of numbers divisible by both 4 and 6, we need to find the count of numbers divisible by their least common multiple, which is 12. We divide 200 by 12 and round down, resulting in approximately 16.67. Thus, there are 16 numbers divisible by both 4 and 6 between 1 and 200.

Finally, we add the count of numbers divisible by 4 and the count of numbers divisible by 6 and subtract the count of numbers divisible by both 4 and 6 to get the total count of numbers divisible by either 4 or 6. Therefore, there are 50 + 33 - 16 = 67 numbers between 1 and 200 that are divisible by either 4 or 6.

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Suppose that F(x) = \(A0 + A1*x + A2*x^2 + A3*x^3 + A4*x^4 + ....\) If F(x) = 1/(1-x), A1000 = 1000!

The function F(x) can be expressed as a geometric series with a first term of 1 and a common ratio of x. Thus, we can write:

F(x) = \(1 + x + x^2 + x^3 + x^4 + ...\)
To find the coefficients A0, A1, A2, A3, A4, and so on, we can differentiate both sides of the equation with respect to x. This gives:
F'(x) = \(1 + 2x + 3x^2 + 4x^3 + 5x^4 + ...\)
Multiplying both sides by x, we get:
xF'(x) = \(x + 2x^2 + 3x^3 + 4x^4 + 5x^5 + ...\)
Now, we can differentiate both sides of this equation with respect to x again:
xF''(x) + F'(x) = \(1 + 4x + 9x^2 + 16x^3 + 25x^4 + ...\)
Multiplying both sides by x again, we get:
x(xF''(x) + F'(x)) = \(x + 4x^2 + 9x^3 + 16x^4 + 25x^5 + ...\)
Continuing this process, we get:
x^nFn(x) = \(n!x^n + n(n-1)!x^{(n+1)} + n(n-1)(n-2)!x^{(n+2)} + ...\)
Now, we can substitute x = 0 into this equation to find the coefficients. When we do this, all the terms except for the first one on the right-hand side disappear. Thus:
A0 = 1
A1 = 1
A2 = 2
A3 = 6
A4 = 24
We can see that the coefficients are the factorials of the index, so:
An = n!
Therefore, A1000 = 1000!

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The numbers of + and - signs tikes in the expressions given in the question are:

a) two - , and zero +

b) two - , and one +

c) one + , and one -

What is expression?

A finite collection of symbols that are correctly created in line with context-dependent requirements is referred to as an expression or a mathematical expression. Mathematical symbols can be used to represent variables, operations, functions, brackets, punctuation, and grouping. They may also be used to denote the operation order or other aspects of the logical grammar.

a) Given expression, (-2) + (-6)

When + and - signs comes together we can consider it as - sign only.

Therefore, there are two -, and zero +.

The the result of this expression is -8.

b) Given expression, (-2) + 4 + (-2)

When + and - signs comes together we can consider it as - sign only.

Therefore, there are two -, and one +.

the the result of this expression is -4.

c) Given expression, 5 + (-8)

When + and - signs comes together we can consider it as - sign only.

Therefore, there are one +, and one -.

the the result of this expression is -3.

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1. April 01 – There is no accounting entry recorded in a company's Journal when an order is received. Because there are no sales or sales revenues have yet occurred, nor does the company have accounts receivable.

An act of keeping records of any transactions, either economic or non-economic, is known as a journal entries.

2. April 05 – Debit bank account by $1,80,000 and credit M/s Singh & Co. by $1,80,000.

3. April 10- Debit M/s Kohli & Sons by $1,00,000 and credit Bank account by $1,00,00.

4. April 15- Purchase a/c debit to Kohli and sons a/c with the amount of 1,50,000.

5. April 20- Kohli and sons a/c debit and cash a/c are credited with the amount of 90,000.

6. April 21- Cash a/c is debited with $45,000 and the sales account is credited by $45,000

7. April 21- Cartage a/c debit by $1,000 and Vishesh's account is credited by $ 1,000.

8. April 30- The drawing account is debited by $8,000 and the purchase a/c is credited by $8,000.

Therefore, Journal entries are done above.

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