Answer:
-3
Step-by-step explanation:
Plug in x = -3
5(-3) - 4[7+(2(-3)-4)]
We'll use order of operations (PEMDAS) from here on out.
Evaluate what is in the innermost parentheses first (2(-3) - 4: the parentheses inside of the brackets). We first multiply 2 * -3, then subtract -4.
2(-3) - 4 = -6 - 4 = -10
So the whole expression becomes
5(-3) - 4[7+ -10]
Now evaluate what is in brackets.
5(-3) - 4[-3]
Multiplication next, before addition.
-15 + 12
Finally, addition
-3
Preview
3-19. Show the numbers of + and tiles represented by each expression below. Sketch each model and state
the number that it represents.
a) (-2) + (-6)
b) (-2) +4+ (-2)
c) 5+ (-8)
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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It had the same slope as y = 3 and passes through (1,5).
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.
What are the zeros of the polynomial function?
Select all correct zeros of each function.
The zeroes of the polynomial functions are listed below:
Roots: 2, 3, - 1. Roots: 3, - 2 (multiplicity 2), 1 Roots: 0 (multiplicity 3), 2, - 3.How to determine the zeros of a polynomial
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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Identify the terms and like terms in the expression. x² - 3x + 4 + 2x² - x - 12. Thank you to anyone who helps, I appreciate it :)
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 \(4,-12\).
Suppose thatF(x) = A0 + A1*x + A2*x^2 + A3*x^3 + A4*x^4 + ....If F(x) = 1/(1-x), what is A1000?
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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Taco Johns is soon opening in Caledonia. It's massive news. Right now Caledonia has 13 fast food
restaurants. It's expected over the next 4 years the number of fast food restaurants in Caledonia will increase
to 21 restaurants. Write an equation to relate the number of fast food restaurants in Caledonia as a function of
time.
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
Use the model to solve for x.
A) x = 2
B) x = 4
C) x = 8
D) x = 12
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.)
help me: A circle has a diameter of 140 cm.
Work out the circumference of the circle.
Give your answer correct to 3 significant figures.
Answer:
440cm (to 3 s.f.)
Step-by-step explanation:
circumference= πd
= π×140
= 440cm (to 3 s.f.)
20 laborers can complete the construction of building in 24 days .In how many days
would 16 laborers complete the construction?
7. In a survey of 468 tourists who visited Nepal during visit Nepal 2020 it was found that
275 visited Rara ,300 visited Bardiya and 56 tourist do not visit both the place .
(i) How many tourists were there who visited Rara as well as Bardiya ?
(ii) Represent the above information in venn diagram.
8. Two numbers are in the ratio 7:5 .When 10 is subtracted from each term their ratio
becomes 3:2.Find the numbers.
Answer:
20=24
8. =? Cross multply
Suppose that cell H15 is an output cell in a spreadsheet for which we have run a simulation. How could you compute the probability of that cell's value exceeding 500
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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Which equation of a line of best-fit reflects a negative correlation?.
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?"
Jimmy Neutron is building a skateboarding ramp that is 16 inches high. The angle formed by the ramp and the ground is 21 degrees, what is the length of the ramp?
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
I need to know how to solve e,d,f im so confused it’s about angles in a circle
When two inner angles are stated as 61° and 52° in the sixth figure, x and y are both set to 67°.
what is circle ?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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the probability density of a random variable x is given in the following figure . the probability that x is at least 0.5 is a . 0 . b . 1/4 . c . 1/2 . d . 3/4 .
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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How many numbers between 1 and 200 are divisible by 4 or 6?
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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How do I solve 7+4.5 ( 1 + 4x) = -17.5 I have to explain how to do it
Identify the vertex of the graph. Tell whether it is a minimum or a maximum
Answer:
vertex : (3, -3)
maximum
Journalise the following transactions;
900 00
Date
April 01
Received an order for goods for 2 1,20,000 from M/s Ram Shankar & Sons.
April 05
Received order for goods from M/s Singh & Co. of « 5,00,000 along with a cheque
for 2 1,80,000 as advance
April 10
Placed order for goods with M/s Kohli & Sons of R 2,50,000; paid them 2 1,00,000 by
cheque in advance,
April 15
Kohli & Sons supplied goods of & 2.50.000.
April 20
April 21
1 Paid a cheque for 60% of the balance amount due to Kohli & Sons on the account.
Sold goods to Vishesh costing & 40,000 at a profit of 25% and allowed him 10% trade
discount and paid for cartage 2 1,000 to be charged from him.
April 30
Withdrawn goods for personal use 2 8,000.
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.
What are Journal entries?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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a right cylinder has a height of 22 1/4ft and a diameter 2 2/5 times it’s height. what is the volume of the cylinder
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 !
BRAINLIEST for CORRECT answer please help
Answer: The answer is B I swear
Step-by-step explanation:
Answer:
A)
Step-by-step explanation:
Just did it on Edg 2020
Help help I don’t really get this???
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!
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Drag the tiles to the correct boxes to complete the pairs.
Simplify the mathematical expressions to determine the product or quotient in scientific notation. Round so the first factor goes to the tenths
place
3. 3x103
7. 8
3. 7
2. 1x10-3
(8. 6x102) (9. 1x10-8)
>
(6. 9x105) 4. 8x10-3)
>
(3. 7 x 102). (4. 6 X 10-3)
(1. 4 x 10-6). (5. 7 x 108)
(3. 1 X 105). (5. 3 X 10-)
(7. 3 x 102). (6. 1 x 10-7
O 2022 Edmentum. All rights reserved.
Please help on this
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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use circle C
classify arc MNO in circle C
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
! What are modern numbers? and how are they used?
Modern numbers are the ten numerical digits used in constructing other numbers.
What are modern 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;
They are used as symbols to write decimal numbers.They are used in writing numbers in other systems like the octal, and for writing identifiers such as computer symbols, trademarks, or license plates.They are used in constructing other numbers.Hence, modern numbers are the ten numerical digits used in constructing other numbers.
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Anwer this and you will get brainest
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.
Hey so can somebody help me? Please dont guest on this, im on the test and i dont want to fail, so please actually try thanks (you will get brainliest if you explain where the arrow goes and the answer of the problem) ( but the main point is to explain where the arrow goes)
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 ^^
7. Write the explicit formula for the geometric
sequence 32, 16, 8, 4,...
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.
In a recent election, 63% of all registered voters participated in voting. In a survey of 275 retired voters, 162 participated in voting. Which is higher, the population proportion who participated or the sample proportion from this survey?
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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Find that sale price: jeans $85.99 at a 15% discount
The sale price of the jeans would be $73.09