Since both angles are vertical angles, we need to set them equal to each other.
[tex]2(x + 10) = 3x - 30\\\\2x + 20 = 3x - 30\\\\5x + 20 = 30\\\\5x = 50\\\\x = 10[/tex]
The final answer is x = 10.
The difference between a number and 25
Answer:
x-25
Step-by-step explanation:
the number is x and the subtraction is the difference
3 sisters have ages that are consecutive odd integers. The sum of the age of the youngest and three times the age of the oldest is five less than five times the middle sisters age. what is the age of the youngest child.
Step-by-step explanation:
Let n be the age of the youngest sister. Since the ages are consecutive odd integers, the next sister's age is n+2, and the oldest sister is n+4. the following equation represents the relationship between the girls' ages.
n + 3(n + 4) = 5(n + 2) - 5
n + 3n + 12 = 5n + 10 - 5
4n + 12 = 5n +5
-4n -5 -4n -5
7 = n
so the sisters are 7, 9, and 11
The age of the youngest child 7 years.
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Since, the ages are consecutive odd integers,
So, Let x be the age of the youngest sister.
The next sister's age is x + 2,
And, the oldest sister is x + 4.
Hence, The following equation represents the relationship between the girls ages.
x + 3(x + 4) = 5(x + 2) - 5
x + 3x + 12 = 5x + 10 - 5
4x + 12 = 5x + 5
12 - 5 = 5x - 4x
x = 7
So, The age of the youngest child 7 years.
Learn more about the linear expression visit:
https://brainly.com/question/28061742
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MATH............................................................
Answer:
For A its 10 Feet because if each unit is 5 feet and there are 2 units then its 10 feet and then B is 35 because seven units means 5 x 7 then 35feet is the answer
Step-by-step explanation:
Answer:a. 10 ft
b. 35 ft
Step-by-step explanation:
A. Count the lines between slide and fountain, there are 2 lines and multiply by 5ft that is the distance in each lines, the result is 2x5ft=10ft
B. The distance of the fountain to the swings are 7 lines. 7x5ft= 35ft
What number is being factored in this factor tree? A. 72 B. 180 C. 216 D. 324 Whoever gets right gets 50 points and Brainliest
Answer:
im pretty sure its A
Step-by-step explanation:
Hope this helped!
Answer:
B?
Step-by-step explanation:
Hope it helps and thank you
Alex takes a multiple-choice quiz in his Anthropology 100 class. The quiz has 10 questions, each has 4 possible answers, only one of which is correct. Alex did not study for the quiz, so he guesses independently on every question. What is the probability that Alex answers exactly 2 questions correctly
Answer:
The probability is 0.28157
Step-by-step explanation:
The number of answers are 40 answers ( 10 questions and 4 answer each)
The number of correct answers is only 10
So the probability that he answers 2 exactly out of 10 means he correctly selected 2 answers
The probability will be;
10 C 2/ 40 C 10
This mean out of the total 10 correct, he selects 2 and out of the total 40 , he selects 10
The probability of selecting a correct answer is;
1/4 while the probability of selecting a wrong one is 3/4
So probability of selecting 2 correct out of a total 10 will be
10 C 2 (1/4)^2 (3/4)^8
= 0.28157
Can someone please help, ty!!
(Will mark brainliest)
Answer:
100
Step-by-step explanatio
The cost for a company to produce a part for d days is represented by the function
f(d) = 325d +8,795.
What does the value 8,795 represent in this situation?
Options: each day,the total cost decreases by $8795 or each day the total cost increases by 8795 or the initial cost is 8795 or the total cost to produce a part for d days is 8795...plz help
Answer:
Hi,
The equation of a linear function has the following format:
[tex]y = mx + b[/tex]
Where represents the value of for when is equal to zero.
Therefore, 8795 can be considered the initial value for production.
Step-by-step explanation:
The graph of a linear function is the same as the example below:
As noted in the figure, the value of [tex]b[/tex] provides the value of [tex]y[/tex] when [tex]x[/tex] is null. This is also called the linear coefficient of the line (or intercept)
The value of [tex]m[/tex] represents the rate of change of the function and is linked to the slope of the line.
Any questions just ask in the comments.
Since the equation given is f(d) = 325d +8,795, the value that 8,795 represent in this situation is the initial cost.
The given equation in this case is f(d) = 325d +8,795, it should be noted that 8795 is the fixed cost. On the other hand, the expression 325d represents the variable cost.
325d means that the cost will increase each day by that amount. Therefore, the value that 8,795 represents in this situation is the initial cost.
Read related link on:
https://brainly.com/question/13151761
A positive number with divisors besides 1 and itself is called
Answer:
it is called a perfect number
Give an example of a function F(x) that is an antiderivative of f(x) = 9 cos(9x)+ 3x^2
We are integrating f(x) = 9cos(9x) + 3x²: [tex]\int\ {9cos(9x)+3x^{2} } \, dx[/tex]
a) Apply the sum rule
[tex]\int\9cos(9x)} \, dx +\int\ 3x^{2} } \, dx[/tex]
b) Calculate each antiderivative
First integral
[tex]\int\ {9cos(9x)} \, dx[/tex]
1. Take out the constant
[tex]9\int\ {cos(9x)} \, dx[/tex]
2. Apply u-substitution, where u is 9x
[tex]9\int\ {cos(u)\frac{1}{9} } du[/tex]
3. Take out the constant (again)
[tex]9*\frac{1}{9} \int{cos(u)} du[/tex]
4. Take the common integral of cos, which is sin
[tex]9*\frac{1}{9}sin(u)}[/tex]
5. Substitute the original function back in for u and simplify[tex]9*\frac{1}{9} sin(9x) = sin(9x)[/tex]
6. Always remember to add an arbitrary constant, C, at the end
[tex]sin(9x) + C[/tex]
Second integral
[tex]\int3x^{2} } \, dx[/tex]
1. Take out the constant
[tex]3\int{x^{2} } \, dx[/tex]
2. Apply the power rule, [tex]\int{x}^{a} \, dx =\frac{x^{a+1} }{a+1}[/tex], where a is your exponent
⇒ [tex]3*\frac{x^{2+1} }{2+1} = x^{3}[/tex]
3. Add the arbitrary constant
[tex]x^{3} + C[/tex]
c) Add the integrals
sin(9x) + C + x³ + C = sin(9x) + x³ + C
Notice the two arbitrary constants. Since we do not know what either constant is, we can combine them into one arbitrary constant.
Answer:F(x) = sin(9x) + x³ + C
Answer:
[tex]g(x)=sin(9x)+x^3+C[/tex], choose a constant that is any number you want for C
Step-by-step explanation:
So we have a function, [tex]f(x)=9cos(9x)+3x^2[/tex] An antiderivative is also called an integral, so to find the antiderivative of f(x) we find the integralso we will say g(x) is equal to the integral (antiderivative) of f(x)Then [tex]g(x)=\int\ {(9cos(9x)+3x^{2}) } \, dx[/tex] Which can be written as [tex]g(x)=\int\ {9cos(9x)} \, dx +\int\ {3x^{2} } \, dx[/tex] So let's do the first part integral [tex]\int\ {9cos(9x)} \, dx[/tex] which can be written as [tex]9*\int\ {cos(9x)} \, dx[/tex] Then we use u substitution integration, and [tex]u=9x,\frac{du}{dx} =9,dx=\frac{1}{9}*du[/tex] so we replace dx and 9x so that [tex]9*\int\ {cos(9x)} \, dx =9*\int\ {\frac{1}{9}cos(u) } \, du=9*\frac{1}{9}*\int\ {cos(u)} \, du[/tex] Leaving [tex]\int\ {cos(u)} \, du=sin(u)+C[/tex] then replace u with 9x, so [tex]sin(9x)+C[/tex]Now for the second part integration[tex]\int\ {3x^2} \, dx =3 *\int\ {x^2} \, dx=3*\frac{x^{2+1}}{2+1}+C=3*\frac{x^{3}}{3}+C=x^3+C[/tex] so [tex]g(x)=sin(9x)+C+x^3+C=sin(9x)+x^3+C[/tex] so [tex]g(x)=sin(9x)+x^3+C[/tex] is a general solution antiderivative to f(x)Describe some main differences between an Euler graph and a tree graph.
Answer:
The Obvious
Euler graph all connects almost like a circle
A tree graph looks like it branches off each other with no line connect in a circle like form
A popular ride-sharing app charges an
initial booking fee plus $1.30 per mile. If a
14-mile ride costs $21.20, which equation
describes the situation?
th
1
Answer:B
Step-by-step explanation:
1.30×-14=-18.20
-18.20+21.20=3
simpifly 49/84
...........
Answer:
7/12
Step-by-step explanation:
Divide both the numerator & denoniminator by 7.
49 / 7 = 7
84 / 7 = 12
7/12
Answer: 7/12
Step-by-step explanation:
Please help I will brainliest!! Really urgent!!
and tell you me how you go it, not just the answer please!❤️
This is my last ques/ of the day
Answer: [tex]\frac{5}{6}x-10[/tex]
==============================
Work Shown:
[tex]\left(\frac{1}{3}x-8\right)+\left(\frac{1}{2}x-2\right)\\\\\frac{1}{3}x-8+\frac{1}{2}x-2\\\\\left(\frac{1}{3}x+\frac{1}{2}x\right)+(-8-2)\\\\\left(\frac{1}{3}+\frac{1}{2}\right)x-10\\\\\left(\frac{2}{6}+\frac{3}{6}\right)x-10\\\\\frac{2+3}{6}x-10\\\\\frac{5}{6}x-10\\\\[/tex]
Answer:
[tex]\frac{5}{6}[/tex]x-10
Step-by-step explanation:
([tex]\frac{1}{3}[/tex]x-8)+([tex]\frac{1}{2}[/tex]x-2) = [tex]\frac{1}{3}[/tex]x-8+[tex]\frac{1}{2}[/tex]x-2
[tex]\frac{1}{3}[/tex]x-8+[tex]\frac{1}{2}[/tex]x-2 = [tex]\frac{1}{3}[/tex]x+[tex]\frac{1}{2}[/tex]x-10
If you -8 then -2, you are subtracting 10 from the equation in total.
[tex]\frac{1}{3}[/tex]x+[tex]\frac{1}{2}[/tex]x-10 = [tex]\frac{2}{6}[/tex]x+[tex]\frac{3}{6}[/tex]x-10
To make the denominator the same, I will multiply the first fraction by 2 and the second fraction by 3 so that their denominators are 6.
[tex]\frac{2}{6}[/tex]x+[tex]\frac{3}{6}[/tex]x-10 = [tex]\frac{5}{6}[/tex]x-10
Once the denominators are the same, you can do the working for the numerators directly (2+3=5) and keep the denominator the same.
I know this isn’t a math problem but it is a serious question about math.
Would Practical math be easier than pre-Calc/trigonometry?
I looked up what practical math was and it seems to be like real-world problems and really long equations, and that is something I struggle with the most because I end up lost a confused but is it as bad as it sounds??? And if it is that bad is it better than pre-calc/trigonometry.
I’m starting my fall semester soon and I would like to know which I should choose
(If it helps I got a C in Algebra 2 from “studying” some answers on here mainly because I was to far behind is lessons to actually learn....but once I get something in math it is easy for me to get it done) ((sorry this is so long))
Answer:
I live in Ireland and I take on additional maths as part of my course (extra maths). In my course we do a mix of pre calc and practical. Personally I find them both okay but I think practical math would get quite hard and boring if you dont like it. If u already find it boring, it's probably going to be harder to understand and like. I would recommend doing pre calc as u still do some equations but it's a good mix. it's totally up to u tho good luck! ♡
Someone help me please
Find the measure of 0.(to the nearest tenth)
Answer:
Y
Step-by-step explanation:
Yes
What is indicated by a positive value for a correlation? a. A much stronger relationship than if the correlation were negative b. A much weaker relationship than if the correlation were negative c. Increases in X tend to be accompanied by decreases in Y d. Increases in X tend to be accompanied by increases in Y
Answer: Increases in X tend to be accompanied by increases in Y
Step-by-step explanation:
The option given that indicates a positive value for a correlation is that an increases in X tend to be accompanied by increases in Y.
When two variables are said to be positively correlated, it simply means that the variables move along the same direction. As one variable increase, the other variable too will slow increase and vice versa.
Name the angles below.
Answer:
it's a obtuse angle...
Which function rule models the function over the domain specified in the table below?
x
f(x)
–7
–11
–1
1
3
9
4
11
7
17
f(x) = 3x + 10
f(x) = 2x + 3
f(x) = 4x + 5
f(x) = 3x – 10
Answer:
f(x) = 4x + 5
Step-by-step explanation:
Answer:
c
Step-by-step explanation: edge 2020
Please answer see the image, please
Answer:
37.7Step-by-step explanation:
perimeter of semicircle = 1/2 π d
= 1/2 π (6)
= 9.425 x 4 semicircles
= 37.7
Team Crusty make pies at a pie-baking competition. They baked 28 pies in 8 hours. How many pies per hour did they bake
Answer:3.5 pies
Step-by-step explanation:
Team Crusty = 28 pies / 8 hours = 3.5 pies per hour.
Hope This Helped!
:D
Each of the points $A, B, C, D, E,$ and $F$ in the figure below represents a different digit from 1 to 6. Each of the five lines shown passes through some of these points. The digits along each line are added to produce five sums, one for each line. The total of the five sums is 47. What is the digit represented by $B$ ?
Answer:
(E) 5Step-by-step explanation:
Refer to picture
Calculating sums, we get a result of:
2A + 3B + 2C + 2D + 2E + 2E = B + 2(sum of all digits) = 47Sum of all digits is:
1 + 2 + 3 +4 + 5 + 6 = 1/2*6*(1 + 6) = 21Considering this in the equation above, we get:
B + 2*21 = 47B = 47 - 42B = 5Correct answer is (E) 5
Mr. Trueword cut a roll of paper into 9 pieces.
Each piece was 3 1/3
meters long. How long was
the roll of paper?
Answer:
30
Step-by-step explanation:
9 times 3 1/3
can I have brainlest if I'm right?
Stephanie claims that 26540is greater than 50. Do you agree or disagree? Explain.
Answer:
I disagree, because 26540 is bigger then 50
If $250 is invested at an interest rate of 12% per year, compounded biannually, how much will the investment be worth at the end of eight years? Round
your final answer to the nearest hundredths place.
Formula: A = P(1+")nt
n
Answer:
2563
Step-by-step explanation:
Kgr7q wtbej iw ku3yf kuey wuyr icnt gje eruyg eurygb ekuv ekght kicu dkyg
2, 3, 5, 5, 8, 7, 11, __, __,__, 17,__, __, __
What is the pattern?
Answer:
9, 14, 11, 17, 13, 20, 15
Step-by-step explanation:
so it's kinda hard to explain but starting from 2, for every second number u add three (2,5,8,11,etc) and then starting from 3, for every second number you add two (3,5,7, etc)
that literally makes no sense aha
please help asap!!!!!!!!!!
Answer:
(4t)
Step-by-step explanation:
Hope this helps
5 is the exponent
A restaurant offers a $12 dinner special that has 6 choices for an appetizer, 13 choices for an entrée, and 5 choices for a dessert. How many different meals are available when you select an appetizer, an entrée, and a dessert?
Answer:
Step-by-step explanation:
12+6+13
m and n are negative rational numbers. The product will be negative
TRUE or FALSE
Answer:
The product of two negative rational numbers can not be negative. Hence, the statement that 'the product will be negative' is FALSE.
Step-by-step explanation:
We know that a rational number is a number that can be written in the form p/q, where p and q are integers.
A negative rational number is a number that can be represented as -p/q or
(-1) p/q, where p and q are whole numbers.
It must be not that the product of two negative rational numbers would always be positive.
For example, let suppose m = -5 and n = -7 are two negative rational numbers.
Taking the product of -5 and -7.
= (-5) × (-7)
= 35
Therefore, the product of two negative rational numbers can not be negative. Hence, the statement that 'the product will be negative' is FALSE.
How do multiplication facts help me divide? Give an example.
Answer:
it could help you so you don't have to count on your fingers
Step-by-step explanation:
5 divided by 2
5 times 2 = 10
so your answer would be 2
find the missing length
Answer:
Step-by-step explanation:
it should be 116