The polynomial that represents the area of the trapezoid shaped window is: 1/2(8x² - 14x - 15).
What is the Area of a Trapezoid?Area of trapezoid = 1/2(a + b)h, where a and b are length of the parallel sides, and h is the height.
Given:
a = 3x + 5
b = x - 2
h = 2x - 5
Thus:
Area of trapezoid = 1/2(3x + 5 + x - 2)(2x - 5)
Area of trapezoid = 1/2(4x + 3)(2x - 5)
Area of trapezoid = 1/2(8x² - 14x - 15)
Therefore, the polynomial that represents the area of the trapezoid shaped window is: 1/2(8x² - 14x - 15).
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Simplify the polynomial by writing each of its term in standard form. 1.5xy^2 *(-4)xyz-4mnk*5m^2 n^3 k
The simplified polynomial by writing each of its term in standard form is:
[tex]-20m^{3}[/tex] [tex]n^{4}[/tex][tex]k^{2}[/tex] - [tex]6xy^{3z}[/tex]
What is polynomial?
A polynomial is a mathematical expression that consists of variables and coefficients, which are combined using arithmetic operations such as addition, subtraction, multiplication, and non-negative integer exponents.
To simplify the given polynomial by writing each of its term in standard form, we need to expand the products and arrange the terms in decreasing order of their degree.
First, let's expand the product [tex]1.5xy^{2}[/tex] *(-4)xyz:
[tex]1.5xy^{2}[/tex] *(-4)xyz = ([tex]-6xy^{3z}[/tex])
Next, let's expand the product -4mnk*[tex]5m^{2}[/tex] [tex]n^{3}[/tex] k:
-4mnk*[tex]5m^{2}[/tex] [tex]n^{3}[/tex]k = ([tex]-20m^{3}[/tex] [tex]n^{4}[/tex] [tex]k^{2}[/tex])
Now, we can write the simplified polynomial by adding the two terms we obtained and arranging them in decreasing order of their degree:
[tex]-20m^{3}[/tex] [tex]n^{4}[/tex] [tex]k^{2}[/tex] - 6xy^3z[tex]6xy^{3z}[/tex]
Therefore, the simplified polynomial by writing each of its term in standard form is:
[tex]-20m^{3}[/tex][tex]n^{4}[/tex] [tex]k^{2}[/tex] - [tex]6xy^{3z}[/tex]
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The bumper car ride at the state fair has 2 red cars, 5 green cars, and 5 blue cars. Nestor is first in line for the ride and is assigned a car at random. Bruce is next in line and is randomly assigned a car. What is the probability that both Nestor and Bruce will drive a red bumper car? Express your answer as a percent. If necessary, round your answer to the nearest tenth.
16.7%
1.5%
98.5%
2.8%
Answer:
B (1.5%)
Step-by-step explanation:
Red car is the least amount of cars and it’s all the depends how many people were in front of Nestor and Bruce
What is 10000000 times 23400?
Answer:234000000000
Step-by-step explanation:
Which of the following best describes the sides of the transformed figure P’Q’R’S’
Answer: TO be honest what subject is this.
Step-by-step explanation:
Solve 12x^2+5x-4=12^2x+6
Answer:
okay so we need to solve for x.
--
FIRST STEP: 12x^2+5x-4=12^2x+6 would turn into x2 + 5x - 4 = 2x + 6 so it'd have equal bases.
SECOND STEP: move any number with "x" in it to the left side. it ends up as x2 + 3x - 4 = 6
THEN, we use the AC method to eliminate any unnecessary numbers.
you should end up with ( x - 2) (x + 5) = 0
SO, the answer is your third option. ( x = 2, x = -5)
Step-by-step explanation:
Answer:
x = 2, x = -5
Step-by-step explanation:
[tex] {12}^{ {x}^{2} + 5x - 4 } = {12}^{2x + 6} \\ (Bases\: are\: equal\: so\: exponents\: \\will\:also\:be \: equal) \\ \implies \: {x}^{2} + 5x - 4 = 2x + 6 \\ \\ \implies \: {x}^{2} + 5x - 4 - 2x - 6 = 0\\ \\ \implies \: {x}^{2} + 5x - 2x - 4- 6 = 0\\ \\ \implies \: {x}^{2} + 5x - 2x - 10 = 0\\ \\ \implies \:x(x + 5) - 2(x + 5) = 0\\ \\ \implies \:(x + 5)(x - 2) = 0 \\ \\ \implies \:x + 5 = 0 \: \: or \: \: x - 2 = 0 \\ \\ \implies \:x = - 5 \: \: or \: \: x = 2[/tex]
Choose an equivalent expression for 123 • 129 • 124 • 122.
Answer:
[tex]12 {}^{18} \\ \\ 100\%\: correct \: answer[/tex]
B. 12^18 is the correct answer...Hopes to get BRAINLIEST....Thank you ☺️
The equivalent expression for the given expression from the question is [tex]12^{18}[/tex]
From law of indices[tex]X^2 . X^2 .X^3 = X^(2+2+3)= X^7[/tex]Same principle applies.we were given [tex]12^3 . 12^9 . 12^ 4 .12^2[/tex]since they all have the same base, then we can sum up their powers, then we have[tex]12^(3+9+2+2)[/tex][tex]= 12^18[/tex]
Therefore, the equivalent expression is [tex]12^{18}[/tex]
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Write the word sentence as an equation. Then solve.
The difference between a number c
and 13
is −2
.
The equation is [tex]c-13=-2[/tex]
The solved equation is 11
First, we must add 13 on both sides
[tex]c=11[/tex]
The answer to the equation is [tex]c=11[/tex]
Answer:
11
Step-by-step explanation:
What is the first step to solve this equation 4x-9=15
Answer:
x=6
Step-by-step explanation:
A 9. 5-foot pole casts a shadow that is 29 feet long. What is the approximate measure of angle L? 0. 32 rad 1. 24 rad 19. 2 rad There is not enough information to answer this question.
The measure of angle ∠L is 18.14° or 0.32 radians. Then the correct option A.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.
A 9.5 feet pole casts a shadow that is 29 feet long.
Perpendicular = 9.5 feet
Base = 29 feet
The angle is given by the tangent. The tangent is given as
[tex]\rm tan \ \theta = \dfrac{Perpendicular }{Base}[/tex]
Then we have
[tex]\rm tan \ \theta = \dfrac{9.5}{29}\\\\tan \ \theta = 0.3276\\\\\theta \ \ \ \ \ = tan ^{-1} 0.3276\\\\\theta \ \ \ \ \ = 18.14^o \ or \ 0.32 \ rad[/tex]
The measure of angle ∠L is 18.14° or 0.32 radians. Then the correct option A.
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Answer:
A on Edge
Aka 0.32 rad
Step-by-step explanation:
Next one is:
Solve the equation where the sine of 30 degrees is equal to YZ/50.Solve 180 – (30 + 90) = 60 to find the measure of angle Z. Then use the cosine of Zto write and solve an equation.Use the 30°-60°-90° triangle theorem to find that YZ = 50/2.
Factor the polynomial 2^2+ 16x + 24:
Answer:
4(4x+7)
Step-by-step explanation:
all I did was evaluate the exponent then added all the numbers to then rearrange the terms and the use your common factors
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP
Answer:
B (-7,9)
Step-by-step explanation:
Reflecting over y-axis changes sign of the x-coordinate
in this case, the original coordinate of B is (7,9)
thus, the translated coordinate of B would be (-7,9)
What is a good estimate and the actual measurement for this angle measurement? A. 110 and 109 B. 95 and 96 C. 90 and 91 D. 70 and 71
The good estimate, as well as the actual measurement for the given angle, is 110° and 109°.
What is a good estimate?
In construction, a good estimate is an approximate value of a number that makes it faster to make cognitive deductions.
On the other hand, the actual measurement is the exact measurement of an angle or shape when the appropriate measuring tools are being used.
From the diagram, the angle is an obtuse angle because it is more than 90° since it extends more than its perpendicular axis(90°), but it is less than 180°.
Therefore, we can conclude that the good estimate, as well as the actual measurement for the given angle, is 110° and 109°.
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Answer: A 110 and 109
Step-by-step explanation:
15 plus a number equals 25
Answer: 10
Step-by-step explanation: 15+10=25
The statement 15 plus a number equals 25 is equals to 10.
We are given that;
The statement
Now,
Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
To find the number, we can use the following steps:
Write the equation using a variable for the unknown number: 15 + x = 25
Subtract 15 from both sides: 15 + x - 15 = 25 - 15
Simplify: x = 10
Therefore, by algebra the answer will be 10.
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Please answer all of the problems attached in the pdf. I have fallen behind in studiess and need a little help - thanks
Answer:
Step-by-step explanation:
Show the remainder of this problem as a fraction:
=45 /
Answer:
45 9/14
That's how you would write it.
Find the value of the missing side length.
3
12
X
20
Answer:
5
Step-by-step explanation:
12/20 = 3/x
solve for x
x=5
Answer: x is 5
Step-by-step explanation: These two triangles are similar (meaning same shape but different size.) To find x, we must first decrease the scaling. The original triangle is 3 and x sides. Being scaled, it is now 12 and 20. 12 divided by 4 is 3, so that's the first side, and being equivalent, 20 divided by 4 is 5, so therefore the triangle has been scaled by 4 units. Therefore x side is 5.
A photograph has a length that is 2 inches longer than its width. There is a 1-inch frame surrounding the photograph. Which expression represents the area of the entire photograph and frame combined?
The expression representing the area of the entire photograph and frame combined is A = x²+4x+3.
What is Area?Area is the amount of space taken up by a plane shape.
To find an expression for the area of the entire photograph and the frame combined, we use the formula below.
Formula:
A = L×W............. Equation 1Where:
A = Area of the photograph and the frameL = Length of the photograph and the frameW = Width of the photograph and the frameFrom the question,
Let the width of the photograph be x, The length of the photograph = (x+2) inchesL = (x+2)+1 = (x+3) inchesW = (x+1) inchesSubstitute these values into equation 1
A = (x+3)(x+1)A = x²+x+3x+3A = x²+4x+3Hence, The expression representing the area of the entire photograph and frame combined is A = x²+4x+3.
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The answer to: expand and simplify 3x + 2 (x +5)
What is the slope of a line parallel to the line whose equation is 5x + y = -9
Answer:
-5
Step-by-step explanation:
Because this equation is in standard form you can do -A/B which is the first two numbers of the equation, and since -A=5 and B=y(1) then i just did -5/1 and i got -5
Need help with question 11- Tysm!
Answer:
A=½bh
165=15b(½)
multiply both sides
330=15b
divide
22=b
my teacher gives me 3$ and buy a sweetie for me she gives me 2 add on and tell me how much chewing gum I ate?
Answer:
add 3 to 2, then divide the multiple of 3 since it's the largest number. if there are no multiples, split it into a decimal.
3+2:': 1.5%ex ---- you ate 1 piece of chewing gum.
Step-by-step explanation:
36) How old am I if 500 reduced by 3 times
my age is 299?
Answer:
67
Step-by-step explanation:
500 − 3x = 299
3x = 201
x = 67
An angle is formed by two rays with the same ____________.
Fine angle W……….Inscribed angles….correct answer will get brainliest
Answer:
40°
Step-by-step explanation:
[tex]\angle UTV [/tex] and [tex]\angle UWV [/tex] are inscribed in the same [tex]\widehat {UTV} [/tex]
Angles inscribed in the same arc are equal in measure.
[tex]\implies m\angle UWV =m\angle UTV [/tex]
[tex]\implies 19x +21\degree =10x +30\degree [/tex]
[tex]\implies 19x -10x =30\degree-21\degree [/tex]
[tex]\implies 9x =9\degree [/tex]
[tex]\implies x =\frac{9\degree}{9} [/tex]
[tex]\implies x = 1\degree [/tex]
[tex]\implies 19x +21\degree= 19(1\degree) +21\degree[/tex]
[tex]\implies 19x +21\degree= 19\degree +21\degree[/tex]
[tex]\implies 19x +21\degree= 40\degree[/tex]
[tex]\implies \huge\orange{\boxed{\boxed{m\angle W= 40\degree}}}[/tex]
Compound interest earns more than
simple interest at the same interest
rate because compounding pays
interest on the interest earned.
True
False
Answer: True
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
To model the problem containing an unknown number, translate the statement into an equation.
Sixteen is five less than a number.
Which steps would you take to translate the statement?
Replace “is” with =, “less than” with –, and “a number” with n to get 16 = 5 – n.
Replace “is” with =, “less than” with +, and “a number” with n to get 16 = n + 5.
Replace “is” with =, “less than” with –, and “a number” with n to get 16 = n – 5.
Replace “is” with =, “less than” with ÷, and “a number” with n to get 16 = 5 ÷ n.
Answer:
The correct option would be the 3rd one
If you want to find 5 less than a number you are subtracting
so 5 less than 20 would be 15, so 20 - 5
since 16 is five less that means whatever the equation equals it will be 16 which is why 16 is in the first part
Answer: The correct option would be the 3rd one
Step-by-step explanation:
If you want to find 5 less than a number you are subtracting
so 5 less than 20 would be 15, so 20 - 5
since 16 is five less that means whatever the equation equals it will be 16 which is why 16 is in the first part
There are 8 green marbles and 11 blue marbles in a bag. You randomly choose one of the marbles. What is the probability of choosing a green marble? Write your answer as a fraction in simplest form.
Answer:
Total number of marbles in the bag = 8+11?=19
Number of green marbles = 8
Number of blue marbles = 11
Probability of choosing a green marble randomly = 8/19
Step-by-step explanation:
Please mark me brainliest
determine which of the values is a solution of 4t+6≤10
Solution =
not a Solution =
The solution of the inequality 4t + 6 ≤ 10 will be less than or equal to 1.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality is given below.
4t + 6 ≤ 10
Simplify the inequality, then we have
4t + 6 ≤ 10
4t ≤ 10 - 6
4t ≤ 4
t ≤ 4 / 4
t ≤ 1
The solution of the inequality 4t + 6 ≤ 10 will be less than or equal to 1.
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i need your help plz say fast
2x + 2x + 2 = 4x + 2
Do this equation has one solution,many solutions,or no solutions?
Step-by-step explanation:
2x + 2x + 2 = 4x + 2 combine like terms
4x + 2 = 4x + 2 subtract 4x from both sides
4x - 4x + 2 = 4x - 4x + 2
2 = 2 TRUE
CONCLUSION:This equation has an infinitely many solutions. The solution to this equation is any real number.