Answer:
= 6x^3-33x^2+45x-6
Step-by-step explanation:
= (3x+-6)(2x^2+-7x+1)
= (3x)(2x^2)+(3x)(-7x)+(3x)(1)+(-6)(2x^2)+(-6)(-7x)+(-6)(1)
= 6x^3-21x^2+3x-12x^2+42x-6
= 6x^3-33x^2+45x-6
find the third angle in a triangle when the other two angles are (2a-32)° and (3a+22)°
Answer:
(190-5a)°
Step-by-step explanation:
Sum of internal angles of a triangle equals to 180°
If the third angle is x, then we have:
(2a-32)°+(3a+22)° +x = 180°(5a- 10)° +x= 180°x= (180+10-5a)°x= (190-5a)°The third angle is: (190-5a)°
50 Points!!!!!! Triangle ABC is given.
Angle A is labeled two x degrees. Angle B is labeled forty degrees. Angle C is labeled three x degrees.
What is the measure, in degrees, of ∠A?
Enter your answer in the box.
All 3 angles add up to 180 degrees.
so 40 + 2x + 3x = 180
40 + 5x = 180
5x = 140
x = 28
So angle A = 2x = 2(28) = 56 degrees.
Answer: 56°
Step-by-step explanation:
We know that a triangle's angles add up to 180 degrees. We will create an equation to help us solve for x using this information.
Given:
2x + 3x + 40 = 180
Combine like terms:
5x + 40 = 180
Subtract 40 from both sides of the equation:
5x = 140
Divide both sides of the equation by 5:
x = 28
Next, we will substitute this value of x into the expression for ∠A.
∠A = 2x = 2(28) = 56°
3y - 2x = -9 y = -2x +
5 A system of linear equations is given by these equations:
On solving the provided question, we can say that the linear equation are 3y - 2x = -9 and y = -2x +5 => 3(-2x +5) - 2x = -9 => x = 3
What is a linear equation?A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.
the linear equation are
3y - 2x = -9 and y = -2x +5
3(-2x +5) - 2x = -9
-6x + 15 -2x = -9
-8x = -24
x = 3
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type in the correct solutions to match each graph.
Answer:
congruent and parallel those are two of them i dont know the other 2 sorry
Step-by-step explanation:
A golf analyst claims that the standard deviation of the 18-hole scores for a golfer is stokes. State and in words and in symbols. Then determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed. Explain your reasoning.
Answer:
Left tailed.
Step-by-step explanation:
A claim (alternative hypothesis) is set against the null hypothesis.
The claim (alternative hypothesis) of the golf analyst is that the standard deviation of the 18-hole scores for a golfer is less than 2.1 strokes
Ha: Sd< 2.1
The null hypothesis will be opposite of the alternate hypothesis
H0: sd ≥ 2.1
A test for which the entire rejection region is located in only one of the two tails - either left or right- is called one tailed test.
In the given example the acceptance region is located in the area greater or equal to 2.1 . The rejection region lies to the left and the acceptance region lies to the right.
As the rejection region lies to the left, it is a left tailed test.
Also if the alternative hypothesis contains equality less than it is left tailed.
express 2 cos 35 sin 67 as a sum
2 cos 35 sin 67 can be expressed as the sum of sin(102) and -sin(32).
To express 2 cos 35 sin 67 as a sum, we can use the trigonometric identity for the product of two sine or cosine functions.
Specifically, the identity states that 2 cos A sin B can be written as
sin(A + B) + sin(A - B).
Applying this identity, we have:
2 cos 35 sin 67 = sin(35 + 67) + sin(35 - 67)
Simplifying the expressions inside the sine functions:
sin(102) + sin(-32)
Since the sine function is an odd function,
sin(-x) = -sin(x),
so we can rewrite the equation as:
sin(102) - sin(32)
Therefore, 2 cos 35 sin 67 can be expressed as the sum of sin(102) and -sin(32).
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What are the 2  formulas to find the area of a circle
Therefore, according to the given information, The formulas to find the area of a circle are\(\pi r^2 and (d/2)^2\pi or r^2\pi\).
What is the area of a circle?The area of a circle is given by the formula A = πr², where r is the radius of the circle.
According to the given information:The area of a circle can be found using either of the following formulas:
\(\pi r^2\), where π (pi) is a mathematical constant approximately equal to 3.14159 and r is the radius of the circle.
\(A = (d/2)^2π,\) where d is the diameter of the circle. This formula can also be written as \($A = r^2\pi$\), where r is the radius of the circle and A is the area.
Both formulas are equivalent and can be used interchangeably, depending on the given information about the circle.
Therefore, according to the given information, The formulas to find the area of a circle are\(\pi r^2 and (d/2)^2\pi or r^2\pi\).
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The price to mail a letter at the post office is $.49 for the first ounce and $0.21 for each additional ounce. Ann paid $1.96 to mail his letter. How much did the letter weigh?
Answer:
the answer is 8 oz
Step-by-step explanation:
well it says for the first ounce is $0.49 so $0.49 is your first number, then you're trying to figure out how many $.21
2.then to make this easier you subtract $0.49 from $1.96 and that's is $1.47
3.then all you need to do is divide $1.47 By .21 cents anand you should get 7.
4.but don't forget the $0.49 for the first ounce, then 1 ounce add it to the 7 and It will equal 8 oz in total
Step-by-step explanation:
Step-by-step explanation:
hey mate!
you can use gauth math
you can easily find the answer and practice
there are tickets to find tutors who are brilliant at math .
it is so helpful
it is like photo math
first click the photo there is an option and get started!
Which of the following could be the value of x in the equation x^2 - 21 = 100 Choose all the correct answers
How to solve your problem
x^{2}-21=100
Quadratic formula
Factor
1
Move terms to the left side
x^{2}-21=100
x^{2}-21-100=0
2
Subtract the numbers
x^{2}\textcolor{#C58AF9}{-21}\textcolor{#C58AF9}{-100}=0
x^{2}\textcolor{#C58AF9}{-121}=0
3
Use the quadratic formula
x=\frac{-\textcolor{#F28B82}{b}\pm \sqrt{\textcolor{#F28B82}{b}^{2}-4\textcolor{#C58AF9}{a}\textcolor{#8AB4F8}{c}}}{2\textcolor{#C58AF9}{a}}
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
x^{2}-121=0
a=\textcolor{#C58AF9}{1}
b=\textcolor{#F28B82}{0}
c=\textcolor{#8AB4F8}{-121}
x=\frac{-\textcolor{#F28B82}{0}\pm \sqrt{\textcolor{#F28B82}{0}^{2}-4\cdot \textcolor{#C58AF9}{1}(\textcolor{#8AB4F8}{-121})}}{2\cdot \textcolor{#C58AF9}{1}}
4
Simplify
Evaluate the exponent
Multiply the numbers
Add the numbers
Evaluate the square root
Add zero
Multiply the numbers
x=\frac{\pm 22}{2}
5
Separate the equations
To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.
x=\frac{22}{2}
x=\frac{-22}{2}
6
Solve
Rearrange and isolate the variable to find each solution
x=11
x=-11
Need help with this question ASAP
Answer: 2(x+5)
Step-by-step explanation:
Which of the following options have the same value as 25%, percent of 64?
Answer:
There are no options???
Mrs. Smith’s daughter weighs 21 pounds, which is about 15% of her adult weight. What will be the adult weight of Mrs. Smith’s daughter?
Answer:
3.15
Step-by-step explanation: 15% of 21 is=3.15
Answer:
140 pounds
Step-by-step explanation:
21 = 0.15x
x = 21 / 0.15
x = 140 pounds
I need help with my math homework
Elena makes her favorite shade of purple paint by mixing 3 cups of blue paint, 1 1/2 cups of red paint, and 1/2 cup of white paint. Elena has 2/3 cup of white paint. How much purple paint can she make?
Elena can make 20/3 cups of purple paint
What is the unitary method?
The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
WE are given that Elena makes her favorite shade of purple paint by mixing 3 cups of blue paint, 1 1/2 cups of red paint, and 1/2 cup of white paint.
Since Elena has 2/3 cup of white paint. then;
1 1/2 cups of red paint (1 1/2=1.5)
1/2 cup of white paint (1/2=0.5)
Then the ratio is 3:1.5:0.5
Means every 0.5 cups of white paint Elena makes 5 cups of purple paint (3+1.5+0.5)
Let x the number of cups of purple paint
5/ 0.5 = x / (2/5)
x = 20/3 cups of purple paint
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dude what is this i dont understand
Answer:
g(1) = 1
Step-by-step explanation:
the absolute value function always gives a positive result, that is
| - a | = | a | = a
to evaluate g(1) substitute x = 1 into g(x)
g(1) = - 3| 1 - 2| + 4
= - 3| - 1| + 4
= - 3(1) + 4
= - 3 + 4
= 1
Solve number 4 but im in 9 th grade, solve for a
given the equation:
\(Hg=(\frac{j+a}{4})\)An equation is a mathematical expression that contains an equals symbol where one or more values are unknown ,
to solve for a, we need to isolate it , to do this we can use some properties
so
Step 1
a)The multiplication property of equality states that when we multiply both sides of an equation by the same number, the two sides remain equal, so to remove the 4 in the denominator, we can multiply both sides by 4
\(\begin{gathered} Hg=(\frac{j+a}{4}) \\ multiply\text{ both sides by 4} \\ Hg*4=(\frac{j+a}{4})*4 \\ 4Hg=(j+a)(\frac{4}{4}) \\ 4Hg=(j+a)(1) \\ 4Hg=(j+a) \end{gathered}\)Step 2
now, we need to "move the j to the left", to do that subtract j in both sides, The subtraction property of equality states that when the same number is subtracted from both sides of an equality, then the two sides of the equation still remain equal, so
\(\begin{gathered} 4Hg=(j+a) \\ subtract\text{ j in both sides } \\ 4Hg-j=(j+a)-j \\ 4Hg-j=a \\ a=4Hg-j \end{gathered}\)therefore, the answer is
\(a=4Hg-j\)I hope this helps you
Based on these sets of side lengths, which triangles are right triangles? 8 units, 15 units, V75 units o 8 units, 3 units, V73 units 16 units, 30 units, V50 units 05 units, 7 units, v74 units Reset Next
SOLUTION
A right triangle can be said to be a triangle with sides following the Pythagoras theorem.
\(undefined\)Step 1: We will test the options and see which obeys the Pythagoras theorem.
Option A test:
On its own, 5 � � 5ab5, a, b is the product of
The product of 5 × 5ab × 5, a, b is 125ab5 when written in its most Simple form
The expression 5 × 5ab × 5, a, b is equal to 125ab5. The reasoning is that when we multiply 5 by 5ab, we get 25ab, which we then multiply by 5 to get 125ab. Since a, b are variables, the product 125ab5 is the product of 5 × 5ab × 5, a, b, when written in its most simple form.
The expression 5 × 5ab × 5, a, b is an algebraic expression, which consists of numbers, variables, and operators. Variables are usually represented by letters or other symbols, while operators such as +, -, ×, ÷, ^ are used to indicate mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. In algebra, expressions can be simplified by combining like terms, expanding brackets, and applying other rules of arithmetic.
The most simple form of an expression is the one that cannot be further simplified.In the given expression, 5 × 5ab × 5, a, b, we can see that the number 5 appears three times, so we can simplify the expression by multiplying the numbers together.
Similarly, we can multiply the variables a and b together to get the term ab. Finally, we write the result as 125ab5, which is the product of 5 × 5ab × 5, a, b, in its most simple form.
Therefore, the product of 5 × 5ab × 5, a, b is 125ab5 when written in its most simple form.
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Enter the number that belongs in the green box 7 4 8
Answer:
61.03°
Step-by-step explanation:
You want the angle opposite the side of length 7 in the triangle with other sides of lengths 4 and 8.
Law of CosinesThe law of cosines relates the angles of a triangle to the side lengths. For triangle ABC with opposite sides a, b, c, the relation is ...
c² = a² +b² -2ab·cos(C)
ApplicationSolving for angle C, we have ...
cos(C) = (a² +b² -c²)/(2ab)
C = arccos((a² +b² -c²)/(2ab))
In this triangle, that means ...
C = arccos((4² +8² -7²)/(2·4·8)) = arccos(31/64)
C ≈ 61.03°
The angle of interest is about 61.03°.
__
Additional comment
We get the same result from a triangle solver. See the second attachment. (The angle we want is angle B in that attachment.)
<95141404393>
Drag the integers to substitute for the variables in the
given expression, then simplify.
5(r - s)
r= 9 s= 1
5(
If r= 9 and s = 1, then 5(r-S) =
Answer/Step-by-step explanation:
Given:
5(r - s)
r = 9
s = 1
Required:
Evaluate and simplify
Solution:
5(r - s)
Plug in the values of r and s
5(9 - 1)
= 5(8)
= 40
This graph represents a quadratic function. What is the function's equation written in factored form and in vertex form?
(graph in picture)
Step-by-step explanation:
f(x) = a(x-x1) (x-x2)
from the vertex, we get a:
0 = a(4-2)²- 8
4a = 8
a = 2
so, the equation:
f(x) = 2(x-0) (x-4)
f(x) = 2x(x-4)
f(x) = 2x² -8x
I got 445.1 as the answer because it says round to the nearest tenth so 446 is wrong. is 445.1 right ?
Answer:
yes your correct
Step-by-step explanation:
The average of 8, 14, and x is 10. What is the value ofx ?
O 8
O 10
O 11
O 12
Answer: so are you saying that 8+14x because I don’t know what you write so here the answer
Step-by-step explanation: Hope this help :D
Evaluate for x=10
8+(14)(10)
8+(14)(10)
=148
But if you don’t want that then I will guess the answer is C.11
The value of x is 8
Given: 8, 14, x
Average = 10
Then,
(8 + 14 + x) / 3 = 10
Cross product
(8 + 14 + x) = 3 × 10
22 + x = 30
x = 30 - 22
x = 8
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In a genetics class, 7 students have GREEN eyes, 4 students have BLUE eyes, and 10 have HAZEL eyes. If a single student is picked at random, what is the probability that their eyes are BLUE or HAZEL?
Provide the final answer as a simplified fraction.
Answer:
1/14
Step-by-step explanation:
all together the probability would be 1/21 because we're adding all the color eyes together. After that, it narrows to only blue and hazel which is 14 so the new probability is 1/14, so the answer is 1/14.
Which graph represents the
equation below?
7x – 2y = -10
evaluate this exponential expression 5 • (3 + 6)^2 - 6^2
The answer of this expression is 369
We know that to solve a numerical expression, we will calculate with property base form.
When there are symbols in an expression, we first solve the numbers in order that are between:
Parentheses ( ) Brackets [ ] Braces { }The math signs calculated first in order are;
Power - square root Multiplication - divisionAddition - subtractionGiven the expression, the resolution will be:
5 * ( 3 + 6 )² - 6²
5 * 9² - 6²
5 * 81 - 36
406 - 36
369
So, the value of this numeric expression is 369
Henrietta’s family is on a road trip from new york city to los angeles ca they have set a goal of reaching the 1,500 mile mark half way across the country by the end of the day tomorrow. when they ended their driving today, they had travelled 1,322 miles, and averaged a speed of 60 miles per hour. if they want to meet their goal, how many hours do they need to drive for tomorrow (assuming they are going to go at the same speed of 60 miles per hour) write and solve an inequality to represent this situation.
Answer:
uhm can i see the formula for the question?
Step-by-step explanation:
8. Kelli runs 2 1/4miles on Monday.
Each day after she runs the same 1 1/3 mile route every morning. Her goal is to run at least 4 miles by the
end of the week.
Part A: Which inequality represents the
least number of days that Kelli
needs to run to reach her goal?
Part B: What is the least number of
days after Monday that Kelli needs
to run to reach her goal?
The inequality which represents the least number of days that Kelli needs to run to reach her goal is
2 1/4 + 1/3d ≥ 4.
The least number of days after Monday that Kelli needs to run to reach her goal is 5.25 days
Which inequality represents the least number of days that Kelli needs to run to reach her goal?Monday= 2 1/4 miles
Other days of the week = 1/3 miles
Her goal =™4 miles
Number of days = d
2 1/4 + 1/3d ≥ 4
subtract 2 1/4 from both sides
1/3d = 4 - 2 1/4
1/3d = 4 - 9/4
1/3d = 16-9 /4
1/3d = 7/4
divide both sides by 1/3
d = 7/4 ÷ 1/3
d = 7/4 × 3/1
= 21/4
d = 5.25 days
Hence, Kelli will reach her goal in at least 5.25 days.
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For any positive integer n, the value of n! is the product of the first n positive integers. For example, 4! = 4 * 3 * 2 * 1 =24. What is the greatest common divisor of 5! and 7! ?
The GCD of 5! and 7! is 2^3 * 3^1 * 5^1 = 120.
the greatest common divisor of 5! and 7! is 120.
To find the greatest common divisor (GCD) of 5! and 7!, we need to factorize both numbers and identify the common factors.
First, let's calculate the values of 5! and 7!:
5! = 5 * 4 * 3 * 2 * 1 = 120
7! = 7 * 6 * 5 * 4 * 3 * 2 * 1 = 5,040
Now, let's factorize both numbers:
Factorizing 120:
120 = 2^3 * 3 * 5
Factorizing 5,040:
5,040 = 2^4 * 3^2 * 5 * 7
To find the GCD, we need to consider the common factors raised to the lowest power. In this case, the common factors are 2, 3, and 5. The lowest power for 2 is 3 (from 120), the lowest power for 3 is 1 (from 120), and the lowest power for 5 is 1 (from both numbers).
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help please!!!!!!!!!!
Answer:
The interval from -12 to -7
The interval from 6 to 12.
Step-by-step explanation:
The equation is log(x + 9) + log(x 9) = log[(x + 9)(x 9)]. = log(x² − 81)
Here is the equation:
log(x² - 81) = 0.47712
This can be expressed in exponential form:
x² - 81 = 10^(0.47712)
x² = 81 + 3.02343
x² = 84.02343
x ≈ ± 9.1658
The answers are therefore x -9.1658 and x 9.1658.
These intervals are where these solutions occur:
The answer, x -9.1658, can be found in the range from -12 to -7.
- The answer x = 9.1658 is found in the range of 6 to 12.
The appropriate choices are:
- The range between -7 and -12; - The range between 6 and 12.