Answer:
1 × ( –6 × – 18 – 8) ÷ 4=\(\frac{1}{404}\)
–4 – –20 + –5 ×( –11 – –18)=\(18\)
13 – –10 × 16 ÷(14 + –16)=\(173\)
1– –9 × 12 × (–19 + 20)=\(110\)
-21x (x + 28)
multiply
\(-21x^{2}-588\)
let me know if anything is unclear, I'm happy to help!
Write an expression to represent the perimeter of a rectangle with the length of x -4 and width of 2x +8.
Answer:
2(x-4) + 2(2x+8) OR long way (x-4) + (x-4) + (2x+8) + (2x+8)
Step-by-step explanation:
2(x-4) represents the (x-4) + (x-4) in the longer version since for perimeter you add the sides. Same thing for the other side, 2(2x+8) represents (2x+8) + (2x+8).
Not sure if you need the expression solved but here:
\(2(x-4) + 2(2x+8)\\(2x-8) + (4x+16)\\=6x+8\)
To get from first line to second, use distributive property. To get from second to third line, combine like terms.
The perimeter of a rectangle with the length of (x - 4) and width of
(2x +8) will be (6x + 8).
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
We have to given that;
The length of rectangle = x - 4
The width of rectangle = 2x + 8
Now,
Since, The length of rectangle = x - 4
The width of rectangle = 2x + 8
We know that;
The perimeter of rectangle = 2 (Length + Width)
⇒ The perimeter of rectangle = 2 (x - 4 + 2x + 8)
⇒ The perimeter of rectangle = 2 (3x + 4)
⇒ The perimeter of rectangle = (6x + 8)
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What is the area of the triangle?
6
2
3
Answer:
6
Step-by-step explanation:
Find the area of both triangles inside the bigger triangle and add them together.
Use the Pythagorean theorem to find the missing length of the leg in the smallest triangle:
a² + b² = c²
2² + b² = 3²
4 + b² = 9
5 = b²
2.2 ≈ b
Calculate the area of the smaller triangle:
1/2(bxh)
1/2(2 x 2.2)
1/2(4.4)
2.2
Calculate the area of the bigger triangle:
We know that the longer leg is 3.8 units because we were able to subtract the length of the smaller triangle's leg from 6.
1/2(bxh)
1/2(2 x 3.8)
1/2(7.6)
3.8
Add both areas to find the area of the largest triangle:
3.8 + 2.2 = 6
find the area of a triangle below. Be sure to include the correct unit in your answer. 5ft 15ft 10 ft
Answer:
25ft^2
Step-by-step explanation:
area of triangle = 1/2 x base x height
= 1/2 x 10 x 5
=1/2 x 50
= 25
.
Five more than the product of a number and 8 equals 9.
Use the variable b for the unknown number.
The unknown number, represented by the variable b, is 1/2, which satisfies the equation "Five more than the product of a number and 8 equals 9."
To solve the equation "Five more than the product of a number and 8 equals 9" using the variable b for the unknown number, we can express this statement as an equation:
8b + 5 = 9
To solve for b, we need to isolate the variable on one side of the equation. Let's simplify the equation step by step:
Subtract 5 from both sides to get rid of the constant term:
8b + 5 - 5 = 9 - 5
8b = 4
Divide both sides of the equation by 8 to solve for b:
8b/8 = 4/8
b = 1/2
Therefore, the solution to the equation is b = 1/2. This means that when we substitute b = 1/2 into the equation, the equation will hold true:
8(1/2) + 5 = 9
4 + 5 = 9
Both sides of the equation are equal, confirming that b = 1/2 is the solution.
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solve the following inequality for mm. Write your answer in the simplest form.
10m − 3 > 6m+1
Answer:
m > 1
Step-by-step explanation:
Given: 10m − 3 > 6m+1
Add 3 to both sides: 10m > 6m + 4
Subtract 6m from both sides: 4m > + 4
Divide both sides by 4: m > 1
Answer:
Step-by-step explanation:
\(10m-3>6m+1\)
\(4m-3>1\)
\(4m<-2\)
\(m<-\dfrac12\)
There are 8 ounces in a cup, 2 cups in a pint, 2 pints in a quart, and 4 quarts in a gallon.
1 L ≈ 0.26 gallons
6 kL ≈ fl oz
6 kiloliters are approximately equal to 202,884.14 fluid ounces.
We have,
To convert 6 kiloliters (kL) to fluid ounces (fl oz), we need to use the conversion factor between these two units.
The conversion factor states that 1 kiloliter is equal to 33814.0227 fluid ounces.
This means that for every kiloliter, there are 33814.0227 fluid ounces.
To convert 6 kiloliters to fluid ounces, we multiply the given value (6 kL) by the conversion factor (33814.0227 fl oz/kL).
= 6 kL x 33814.0227 fl oz/kL
= 202884.1362 fl oz
Therefore,
6 kiloliters are approximately equal to 202,884.14 fluid ounces.
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Find the perioa
equation.
llowing
y = 2 cos(5x + 3) - 6
77
Period = [2]T
Give your answer in simplest form.
Answer:
In the equation y = 2 cos(5x + 3) - 6, we can ignore the coefficients 2 and -6 for the purposes of calculating the period because they do not change the period. They only change the amplitude (2) and vertical shift (-6) of the function.
The coefficient 5 in front of x inside the cosine function affects the period of the function. It is a horizontal compression/stretch of the graph of the function.
The period of the basic cosine function, y = cos(x), is 2π. When there is a coefficient (let's call it b) in front of x, such as y = cos(bx), the period becomes 2π/b.
So, in your case, b = 5, so the period T of the function y = 2 cos(5x + 3) - 6 is:
T = 2π / 5
This is the simplest form for the period of the given function.
Harley’s house has a value of £160 000 correct to 2 significant figures.
Write down the greatest possible value of the house
Answer:
This is the answer hope you have a nice day
Help plzzz thank so much I appreciate if u Landa helping hand
Answer:1
Step-by-step explanation:
You can only split it once
Answer:1
Step-by-step explanation:
The line of symmetry must cut the shape evenly and than T can only be cut once vertically down the middle.
How can u find a geometry-big circle mAB=56 mBC=59 mCD=63 mDE=63 mEF= 31
To find the measure of the geometry-big circle, we need to sum up the measures of all the arcs around the circle.
We are given the following measures:
\(\sf\:m\angle AB = 56 \\\)
\(\sf\:m\angle BC = 59 \\\)
\(\sf\:m\angle CD = 63 \\\)
\(\sf\:m\angle DE = 63 \\\)
\(\sf\:m\angle EF = 31 \\\)
To find the measure of the geometry-big circle, we add up these measures:
\(\sf\:m\angle AB + m\angle BC + m\angle CD + m\angle DE + m\angle EF \\\)
Substituting the given values:
\(\sf\:56 + 59 + 63 + 63 + 31 \\\)
Simplifying the expression:
\(\sf\:272 \\\)
Therefore, the measure of the geometry-big circle is 272.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
100 POINTS BRAINLIEST AND THANKS!!!!
Answer:
1. $19,282.025
2.$3698
Step-by-step explanation:
1.
In order to calculate this, we can use the following formula:
\(\boxed{\bold{FV = PV(1 + \frac{r}{n})^{nt}}}\)
Where:
FV = Future Value PV = Present Value r = Annual interest rate n = Number of times interest is compounded per year t = Number of yearsIn this case, the following values would be used:
FV = ?PV = $3,294 r = 15%=0.15 n = 4t = 12Plugging these values into the formula, we get:
\(FV = 3,294(1 + \frac{0.15}{4})^{4*12}\)
= $19,282.025
2
In order to calculate this, we can use the following formula:
\(\boxed{\bold{FV = PVe^{rt}}}\)
Where:
FV = Future Value PV = Present Value r = Annual interest rate t = Number of yearsIn this case, the following values would be used:
FV = ?PV = $2,580r = 3%=0.03t = 12value of e= 2.7183Plugging these values into the formula, we get:
\(FV = 2,580e^{0.03*12}\)
= $3,697.99=$3698
Intelligence Iq scores are often reported to be normally distributed with u=100.0 and o=15.0. A random sample of 47 people is taken. What is the probability of a random person on the street having an IQ score of less than 96?
you lend $240 to your friend he pays you back $270 what intrest did he pay you
Answer:
he got you 30 more dolla bills son
Step-by-step explanation:
Ringani worked overtime to raise a total amount R30 000.00 to settle his student debt. If he has deposited R8 500.00 yearly into an account earning 7,04% interest per year compounded annually. How long, rounded to one decimal place did it took her to accumulate the total amount? A. 3.0 years B. 2.4 years C. 2.8 years D. 2.0 years
It took Ringani 2.8 years to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate Compounded annually.The correct answer choice is C. 2.8 years.
To determine how long it took Ringani to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into an account with a 7.04% interest rate compounded annually, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A is the final amount
P is the principal amount (initial deposit)
r is the interest rate (in decimal form)
n is the number of times the interest is compounded per year
t is the time in years
In this case, we have:
P = R8,500.00
A = R30,000.00
r = 7.04% = 0.0704 (in decimal form)
n = 1 (compounded annually)
We want to find the value of t.
Using the formula, we can rearrange it to solve for t:
t = (log(A/P)) / (n * log(1 + r/n))
Substituting the given values, we have:
t = (log(30,000/8,500)) / (1 * log(1 + 0.0704/1))
Calculating this using a calculator, we find that t is approximately 2.8 years.
Therefore, it took Ringani approximately 2.8 years (rounded to one decimal place) to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate compounded annually.
The correct answer choice is C. 2.8 years.
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URGENT: HELP ME WITH THE MATH PROBLEMS!!
(Note This Needs To Be Done Tonight!)
Answer:
1. 3 and 1/5 improper: 11/15
2. 3 and 3/4 improper: 15/16
3. 1 and 2/3 improper: 5/6
4. 2 and 1/2 improper: 5/6
5. 3 and 2/10 improper: 32/40
6. 3 and 3/9 improper: 30/36
7. 1 and 2/6 improper: 8/12
5/4, 1 + square root of 3 write the polynomial function of least degree with integral coefficients that has the given zeros
Answer:
4x³ - 13x² + 2x + 10 = 0
Step-by-step explanation:
(x - 5/4) [x - (1 + √3)] [x - (1 - √3)] = 0
4(x - 5/4) [x - (1 + √3)] [x - (1 - √3)] = 0
(4x - 5) [x - (1 + √3)] [x - (1 - √3)] = 0
(4x - 5) [x - 1 - √3] [x - 1 + √3] = 0
(4x - 5) [(x - 1) - √3] [(x - 1) + √3] = 0
(4x - 5) [(x - 1)² - 3] = 0
(4x - 5) (x² - 2x + 1 - 3) = 0
(4x - 5) (x² - 2x - 2) = 0
4x³ - 5x² - 8x² + 10x - 8x + 10 = 0
4x³ - 13x² + 2x + 10 = 0
A car can travel 28 miles per gallon of gas. How far can the car travel on 8 gallons of gas?
A car can travel 28 miles per gallon of gas. How far can the car travel on 8 gallons of gas?
Applying proportion
28/1=x/8
solve for x
x=(28)*8
x=224 miles
the answer is 224 miles\(are \frac{7}{1.6} and \frac{35}{8} proportional\)
In the situation, 7/1.6 and 35/8 are proportional.
What is meant by proportional?If the ratio between the corresponding elements of two numerical sequences, frequently experimental data, is constant, the sequences are proportional or directly proportional.
We have given \($ \rm \frac{7}{1.6}\ \text{and}\ \frac{35}{8}\)
\($ \rm \frac{7}{1.6}\ \text{and}\ \frac{35}{8}\)
Multiply the cross-product and
35 × 1.6 must be equal to 7 × 8 to be proportional.
35 × 1.6
= 56
And then,
7 × 8
= 56
We see that,
56 = 56
Since the cross-products are equal to 1, we can say that 7/1.6 and 35/8 are proportional.
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What is the lease common multiple of 6 and 15
Answer:
It would be 30.
Step-by-step explanation:
Select ALL the correct answers.
A skateboard company tracks the sales of their short boards and long boards. The company's records show the sales of short boards decrease every three months as represented by expression A, where t is the number of years that the boards have been for sale.
The company's records show that the sales of long boards increase every four months as represented by expression B, where t is the number of years that the boards have been for sale.
Select the statements that give a correct interpretation of the above expressions.
Expression A grows at a rate of 5% every three months, while expression B decays at a rate of 12% every four months.
Expression A decays at a rate of 5% every three months, while expression B grows at a rate of 12% every four months.
Expression A has an initial value of 0.95, while expression B has an initial value of 1.12.
Expression A decays at 5% every three years, while expression B grows at a rate of 12% every four years.
Expression A has an initial value of 624, while expression B has an initial value of 725.
The statements that give a correct interpretation of the above expressions is Expression A decays at a rate of 5% every three months, while expression B grows at rate of 12% every four months.
Expression A has initial value of 624, while expression B has initial value of 725
What is expression?An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.) Expressions can be thought of as similar to phrases.
according to the data given,
The company's records show the sales of short boards decrease every three months as represented by expression A.
The company's records show that the sales of long boards increase every four months by expression B.
Expression A decays at a rate of 5% every three months, while expression B grows at rate of 12% every four months
Expression A has initial value of 624, while expression B has initial value of 725.
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Give at least 5 definitions that one should know if learning the *introduction* to algebra 1
1. Variable: A symbol or letter that represents an unknown value or quantity in algebraic expressions and equations.
2. Equation: A mathematical statement that shows the equality between two expressions, typically represented by an equal sign (=).
3. Coefficient: The numerical factor that is multiplied by a variable in a term.
4. Expression: A mathematical phrase that may contain variables, constants, and operations, but does not have an equal sign.
5. Linear Equation: An equation in which the highest power of the variable is 1, written in the form ax + b = 0, where a and b are constants and x is the variable.
Variable: In algebra, a variable is a symbol (usually a letter) that represents an unknown value or quantity. It allows us to express mathematical relationships and solve equations.
Equation: An equation is a mathematical statement that shows the equality between two expressions.
It consists of an equal sign (=) and can include variables, constants, and operations.
Solving equations involves finding the values of the variables that make the equation true.
Coefficient: A coefficient is the numerical factor that is multiplied by a variable in a term.
It represents the scale or magnitude of the variable.
For example, in the term 3x, the coefficient is 3.
Expression:
An expression is a mathematical phrase that can contain variables, constants, and operations, but does not have an equal sign.
Expressions can be evaluated or simplified, but they cannot be solved since they lack the equality found in equations.
Linear Equation:
A linear equation is an equation where the highest power of the variable is 1.
It can be written in the form ax + b = 0,
where a and b are constants and x is the variable.
Solving linear equations involves finding the value(s) of x that satisfy the equation.
These are just a few key definitions that form the foundation of understanding introductory algebra.
Mastering these concepts will provide a solid basis for further exploration and learning in algebraic principles and problem-solving.
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A farmer needs to enclose three sides of a plot with a fence (the fourth side is a river). The farmer has 54 yards of fence and wants the plot to have an area of 360 sq-yards. What should the dimensions of the plot be? (For the purpose of this problem, the width will be the smaller dimension (needing two sides); the length with be the longer dimension (needing one side). Additionally, the length should be as long as possible.)
length = yards
width = yards
Enter your answers as numbers. If necessary, round to the nearest hundredths.
Answer:
The length of the field = 24.5 yards
The width of the field = 12 yards.
Step-by-step explanation:
If "w" is the width, then the length is 49 - 2w.
The area of the rectangle field = length × width
= w(49 - 2w)
Area =
This a quadratic equation, the vertex of x coordinate is w
w =
Here a = -2 and b = 49
w = .
So width of the field is 12.25 yards.
The length of the filed = 49 - 2(12.25) = 24.5
Area = 12.25 × 24.5 = 300.125 square yards.
The field has an area of 294.
Therefore, the length must be 24.5 yards and width must be 12 yards.
24.5 × 12 =294 square yards.
Therefore, the length of the field = 24.5 yards
the width of the field = 12 yards.
Need help, pls!!!
ty!
The graph of this function will behave as (b) A graph of this function would slope downward, starting from a price of $100 dollars because the rate of change is less than 0 and the initial value is -10.
The demand function is given by d = 100 - 10p. This means that the quantity demanded (d) decreases as the price (p) increases.
The slope of the demand function is the rate of change of the quantity demanded with respect to the price. In this case, the slope is -10, which is negative. This indicates that as the price increases, the quantity demanded decreases.
The initial value of the demand function is 100, which represents the quantity demanded when the price is zero. This means that the demand function intersects the y-axis at (0, 100).
Therefore, the correct answer is (b) A graph of this function would slope downward, starting from a price of $100 dollars because the rate of change is less than 0 and the initial value is -10.
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Rachel is trying to find the length of the lake shown on the diagram. She knows that if the two triangles are similar she can use a
proportion to solve for the length. How can Rachel justify that the triangles are similar? What is the length of the lake?
A) Corresponding sides of the two triangles have the ratio of 41, which
proves SAS similarity. The length of the lake is 212 m.
C) Corresponding sides of the two triangles have the ratio of 41, which
proves SSS similarity. The length of the lake is 132 m
B) Corresponding sides of the two triangles have the ratio of 3:1, which
proves SSS similarity. The length of the lake is 159 m.
D) Corresponding sides of the two triangles have the ratio of 4:1, which
proves AAS similarity. The length of the lake is 240 m.
Answer:
I believe it a I just believe and please make me brailnest
A grocery store clerk put only packages of Takis and packages of Flamas on a shelf. The ratio of the number of packages of Flamas to the total number of packages on the shelf was 9 to 16.
Which number could be the number of packages of Takis the clerk put on the shelf?
Answer:
5 packages of Takis
Step-by-step explanation:
The total number packages that were placed on the shelf were 16 packages. The total number of packages of Flamas that were placed on the shelf were 9 packages. So to identify the number of packages of Takis the clerk put on the shelf, we simply do
16-9=5
Two cars start from the same point and move in a straight line, one east at a speed of 60 km per hour and the other west at a speed of 80 km per hour. After what time will they live at a distance of 770 km?
Answer:
5.5 hours
Step-by-step explanation:
Given that :
Speed of A = 60 kmphr
Speed of B = 80 kmphr
After what time will distance = 770 km
Speed * Time = Distance
Let time = x
Distance A + Distance B = 770
(60 * x) + (80 * x) = 770
60x + 80x = 770
140x = 770
x = 770 / 140
x = 5.5 hours
What are the exact solutions of x2 − 3x − 5 = 0, where x equals negative b plus or minus the square root of b squared minus 4 times a times c all over 2 times a? Group of answer choices x = the quantity of 3 plus or minus the square root of 29 all over 2 x = the quantity of negative 3 plus or minus the square root of 29 all over 2 x = the quantity of negative 3 plus or minus the square root of 11 all over 2 x = the quantity of 3 plus or minus the square root of 11 all over 2
The exact solutions of the Quadratic equation x^2 - 3x - 5 = 0 are:
x = (3 + √29) / 2 ,x = (3 - √29) / 2. The correct answer choice is:
x = the quantity of 3 plus or minus the square root of 29 all over 2.
The exact solutions of the quadratic equation x^2 - 3x - 5 = 0 using the quadratic formula, we can identify the values of a, b, and c, and substitute them into the formula:
a = 1
b = -3
c = -5
Now, we can apply the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
Substituting the values into the formula:
x = (-(−3) ± √((−3)^2 - 4(1)(−5))) / (2(1))
x = (3 ± √(9 + 20)) / 2
x = (3 ± √29) / 2
Therefore, the exact solutions of the quadratic equation x^2 - 3x - 5 = 0 are:
x = (3 + √29) / 2
x = (3 - √29) / 2
The correct answer choice is:
x = the quantity of 3 plus or minus the square root of 29 all over 2.
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It's easy but I'm too lazy meow
Answer:
77
Step-by-step explanation:
length * width gives the answer of 77
width of 7
length of 11
7*11 = 77
what is the perpendicular and parallel lines of y= -2 -4x
y=1/4x-2 is a perpendicular line and y=-4x+3 is a parallel line.
The equation y= -2 -4x in the form of slope intercept form y=mx+b is y=-4x-2.
Where m represents the slope and y intercept is -2.
The slope of a line perpendicular to another line is the negative reciprocal of the slope of the given line.
The negative reciprocal of -4 is 1/4.
Therefore, the slope of the perpendicular line is 1/4.
The perpendicular line is y=1/4x-2.
We know that the parallel lines have same slope.
y=-4x+3
Hence, y=1/4x-2 is a perpendicular line and y=-4x+3 is a parallel line.
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