whats the value of x??im really confused i thought it was 7 but that doesnt make sense can someone please help me!!!
Answers
16x -12 = 180
16x = 192
x = 192/16
x = 12
meaning they both add up to 180 because they are on a straight line
To solve:
(10x - 20) + (6x + 8) = 180
combine like terms
(10x + 6x ) + (-20 + 8) = 180
16x - 12 = 180
add 12 to both sides
16x = 192
divide both sides by 16
x = 12
To solve for the angles, you would just take x and plug it into the angle and solve XD
Hope this helps
Related Questions
An investment of $750 will be worth $1500 after 12 years of continuous compounding at a fixed interest rate. What percent is the interest rate?
Answers
Final answer:
The interest rate is 100%, or 1 as a decimal, for continuously compounded interest.
Explanation:
To find the interest rate, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A is the final amount ($1500)P is the principal amount ($750)r is the interest rate (unknown)n is the number of times interest is compounded per year (continuously compounded)t is the time in years (12)Using the given information, we can plug in the values and solve for r:
$1500 = $750(1 + r/1)^(1*12)$2 = 1 + rr = $2 - 1 = $1The interest rate is 100%, or 1 as a decimal, for continuously compounded interest.
The interest rate, for continuous compounding, is approximately 5.775%.
To find the interest rate for continuous compounding, we can use the formula for compound interest:
[tex]\[ A = P \times e^{rt} \][/tex]
Where:
- [tex]\( A \)[/tex] is the final amount of money,
- [tex]\( P \)[/tex] is the principal amount (initial investment),
- [tex]\( r \)[/tex] is the interest rate (annual rate in decimal),
- [tex]\( t \)[/tex] is the time the money is invested for (in years),
- [tex]\( e \)[/tex] is the base of the natural logarithm, approximately equal to 2.71828.
Given:
- [tex]\( P = $750 \)[/tex],
- [tex]\( A = $1500 \)[/tex],
- [tex]\( t = 12 \)[/tex] years.
We need to solve for [tex]\( r \)[/tex], the interest rate.
Step 1 :**Substitute the Given Values into the Formulaa :
[tex]\[ 1500 = 750 \times e^{12r} \][/tex]
Step 2 :**Divide Both Sides by 750**:
[tex]\[ \frac{1500}{750} = e^{12r} \][/tex]
[tex]\[ 2 = e^{12r} \][/tex]
Step 3 :**Take the Natural Logarithm of Both Sides**:
[tex]\[ \ln(2) = \ln(e^{12r}) \][/tex]
[tex]\[ \ln(2) = 12r \ln(e) \][/tex]
[tex]\[ \ln(2) = 12r \][/tex]
Step 4 :**Solve for [tex]\( r \)[/tex]**:
[tex]\[ r = \frac{\ln(2)}{12} \][/tex]
[tex]\[ r = \frac{0.693}{12} \][/tex]
[tex]\[ r = 0.05775 \][/tex]
Step 5 :**Convert the Interest Rate to a Percentage**:
[tex]\[ r_{\text{percentage}} = 0.05775 \times 100\% \][/tex]
[tex]\[ r_{\text{percentage}} = 5.775\% \][/tex]
So, the interest rate is approximately 5.775%.
PLEASE HELP
7.03
1. Write the sum using summation notation, assuming the suggested pattern continues.
1 - 3 + 9 - 27 + ...
A) summation of one times three to the power of n from n equals zero to infinity
B) summation of one times three to the power of the quantity n plus one from n equals zero to infinity
C) summation of one times negative three to the power of n from n equals zero to infinity
D) summation of one times negative three to the power of the quantity n plus one from n equals zero to infinity
2. Write the sum using summation notation, assuming the suggested pattern continues.
-4 + 5 + 14 + 23 + ... + 131
A) summation of the quantity negative four plus nine n from n equals zero to fifteen
B) summation of negative thirty six times n from n equals zero to fifteen
C) summation of the quantity negative four plus nine n from n equals zero to infinity
D) summation of negative thirty six times n from n equals zero to infinity
3. Write the sum using summation notation, assuming the suggested pattern continues.
25 + 36 + 49 + 64 + ... + n2 + ...
A) summation of n squared from n equals five to infinity
B) summation of n minus one squared from n equals five to infinity
C) summation of n squared from n equals six to infinity
D) summation of n plus one squared from n equals five to infinity
4. Find the sum of the arithmetic sequence.
-1, 2, 5, 8, 11, 14, 17
A) 56
B) 63
C) -7
D) 20
5. Find the sum of the geometric sequence.
1, one divided by four, one divided by sixteen, one divided by sixty four, one divided by two hundred and fifty six
A) 341
B) one divided by one hundred and ninety two
C) one divided by seven hundred and sixty eight
D) three hundred and fourty one divided by two hundred and fifty six
6. Find the sum of the first 8 terms of the sequence. Show all work for full credit.
1, -3, -7, -11, ...
Answers
1, -3, -7, -11, -15, -19, -23, -27...
sum:
8/2 (1 + -27)
8/2 (-26)
-104
Problem 1. Write the sum using summation notation, assuming the suggested pattern continues.
1 - 3 + 9 - 27 + ...
Answer: option C) summation of one times negative three to the power of n from n equals zero to infinity
Explanation:
1) Sequence: 1 - 3 + 9 - 27: given
2) ratio of two consecutive terms:
- 3 / 1 = - 3
9 / (-3) = - 3
-27 / (9) = - 3
=> ratio = - 3 means that every term is the previous one multiplied by - 3
3) terms
First term: 1 * (-3)^0 = 1
Second term: 1* (-3)^1 = - 3
Third term: 1 * (-3)^2 = 9
Fourth term: 1 * (-3)^3 = - 27
So, the summation is:
∞
∑ 1 * (-3)^n ,
n=0
which is read summation of one times negative three to the power of n from n equals zero to infinity => option C.
Problem 2. Write the sum using summation notation, assuming the suggested pattern continues.
- 4 + 5 + 14 + 23 + ... + 131
Answer: option A) summation of the quantity negative four plus nine n from n equals zero to fifteen
Probe the statement A):
15
∑ (- 4 + 9n)
n=0
Now develop that summation: - 4 +9(0) - 4+ 9(1) - 4 + 9(2) - 4 + 9(3) +....+ - 4 + 9(15) = - 4 + 5 + 14 + 23 + 131
Which is the very same sequence given.Therefore, the first statement if right.
Problem 3. Write the sum using summation notation, assuming the suggested pattern continues.
25 + 36 + 49 + 64 + ... + n^2 + ...
Answer: option A) summation of n squared from n equals five to infinity
Explanation
First term: 25 = 5^2
Second term: 36 = 6^2
Third term: 49 = 7^2
Fourth term: 64 = 8^2
nth term n^2
last term: the sequence is infinite
So, you can see that the sequence is the sum of the square of the integers from n = 5 to infinity =
∞
∑ (n^2)
n = 5
which is what summation of n squared from n equals five to infinity means.
Problem 4. Find the sum of the arithmetic sequence.
-1, 2, 5, 8, 11, 14, 17
Answer: option A) 56
Explanation:
You just have to sum all the terms (since they are few numbers that is the best way): - 1 + 2 + 5 + 8 + 11 + 14 + 17 = 56
Answer: 56
Problem 5. Find the sum of the geometric sequence.
1, one divided by four, one divided by sixteen, one divided by sixty four, one divided by two hundred and fifty six
Answer: option D) 341 / 256
Explanation:
Write in form of fractions: 1 + 1/4 + 1/16 + 1/64 + 1/256
You'd better use the formula for the summation of a geometric sequence
k
∑ A * (r^n) = A * (1 - r^k) / (1 - r)
n=1
In this case: r = 1/4 (the ratio)
k = 5 (the number of terms)
A = 1 (the first term)
=> The sum = 1 * [1 - (1/4)^5 ] / [ 1 - 1/4], which when you simplify turns into 341 / 256 which is the option D.
Problem 6. Find the sum of the first 8 terms of the sequence. Show all work for full credit.
1, -3, -7, -11, ...
Answer: - 104
Explanation:
You can either sum the 8 terms or use the formula for the sum of an aritmetic sequence.
I will sum the 8 terms.
Note the the constant distance to sum is - 4, so the sum of the first eight terms is:
1 - 3 - 7 - 11 - 15 - 19 - 23 - 27 = - 104
Write an inequality for the sentence. Then solve the inequality. Fifteen less than a number is at most 6.
pls help
Answers
The requried inequality for the sentence is x - 15 ≤ 6 and the solution to the inequality is x ≤ 21.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
The inequality for the sentence "Fifteen less than a number is at most 6" can be written as:
x - 15 ≤ 6
where x represents the unknown number.
To solve for x, we will add 15 to both sides of the inequality:
x - 15 + 15 ≤ 6 + 15
Simplifying,
x ≤ 21
Therefore, the solution to the inequality is x ≤ 21.
Learn more about inequality here:
brainly.com/question/14098842
#SPJ3
helpppppppppppppppppppppppp
Answers
[tex] x^{2} -2x-3[/tex] to do this we'll need to find two number whose product is -3 and its sum is -2; those numbers are 1 and -3, so:
[tex] x^{2} -2x-3=(x+1)(x-3)[/tex]
Now we can rewrite our rational function as follows:
[tex]f(x)= \frac{x-3}{(x+1)(x-3)} [/tex]
Notice that we have a common factor (x-3) in both numerator and denominator; therefore we can cancel them:
[tex]f(x)= \frac{1}{x+1} [/tex]
Taking all the above into consideration we realize that x=3 is a removable discontinuity; the correct answer is the first one: there is a hole in x=3 and asymptote at x=-1.
Let f(x)= -5x+6. Find and simplify f(3n−5).
f(3n-5)= ?
Answers
[tex]f(x)=-5x+6[/tex]
[tex]f(3n-5)=-5(3n-5)+6[/tex]
Now, lets simplify our function:
[tex]f(3n-5)=-15n+25+6[/tex]
[tex]f(3n-5)=-15n+31[/tex]
After simplify our function, we can conclude that [tex]f(3n-5)=-15n+31[/tex]
Will mark brainliest.. There are 3 questions related to the problem in the first picture. please help thanks.
Answers
A metal Fabricating Company produces 150,000 souvenir tokens each year. In a random sample of 400 tokens, 3 have stamping errors. Predict the total number of coins that will have stamping errors in a year.
Answers
150000 divided by 400 equals 375, times 3 equals 1125.
.
The acronym CPCTC stands for “__________ parts of congruent triangles are congruent.”
calculated
congruent
corresponding
coordinated
Answers
The acronym CPCTC stands for " Corresponding parts of congruent triangles are congruent. "
Step-by-step explanation:CPCTC--
It is a rule which states that if any of the two triangles are congruent by any of the congruency such as ASA, RHS , SAS or SS then the remaining sides and the remaining angles which were not covered in the congruency are also congruent.
Also, the acronym is:
Corresponding parts of congruent triangles are congruent.
The prime factorization of a number is 2^3*3^2*5. Which is a true statement about the factors of the number?
1. Fifteen is a factor of the number because both 3 and 5 are prime factors.
2. Fifteen is not a factor of the number because 15 is odd and the number is even.
3. Sixteen is a factor for the number because 2^3=8 and 16 is divisible by 8.
4. Sixteen is not a factor of the number because the exponent of 2 is not even.
Answers
3^2 = 9
8 * 9 * 5 = 360
15 is a factor of 360, so the answer would be 1. Fifteen is a factor of the number because both 3 and 5 are prime factors
Fifteen is a factor of the number because both 3 and 5 are prime factors and this can be determined by using the arithmetic operations.
Given :
Number -- [tex]2^3\times 3^2\times 5[/tex]
The following steps can be used in order to determine the correct statement:
Step 1 - Write the given number.
[tex]2^3\times 3^2\times 5[/tex]
Step 2 - Simplify the above expression.
[tex]= 8\times 9 \times 5[/tex]
Step 3 - Multiply 8 by 9 in the above expression.
[tex]= 72\times 5[/tex]
Step 4 - Multiply 72 by 5 in the above expression.
= 360
Step 5 - 15 is a factor of 360.
Therefore, the correct option is 1).
For more information, refer to the link given below:
https://brainly.com/question/10454590
what is 1,000,000,000 x 1,000,000,000
Answers
That is the answer
thats the awnser
Find the value of the missing side of a triangle practice
Answers
Be sure to understand the differences between a right-angled triangle and an irregular-shaped triangle.
Right-angled triangle
Two sides must be known.
[tex] {a}^{2} = {b}^{2} + {c}^{2} [/tex]
where 'a' squared is the hypotenuse of the triangle.
To find the non-hypotenuse side, the formula can be rearranged to
[tex] {b}^{2} = {a}^{2} - {c}^{2} [/tex]
'b' can be any non-hypotenuse side.
Non-right angled triangle.
Cosine rule
Two sides and an angle must be know.
[tex]a = {b}^{2} + {c }^{2} - 2ab \cos(angle \: facing \: a) [/tex]
That is just a few of the formulas I have listed.
Which polynomial is a quintic trinomial?
x³ + 2x² -8x + 16
x² + 4
3x⁵ + 7x² -9x⁴
-x⁴ -5x² +1
Answers
Answer:
3x⁵ + 7x² -9x⁴
Step-by-step explanation:
In the order given, the polynomials have degrees 3, 2, 5, 4. The one of degree 5 is "quintic." That one also happens to be a trinomial. It is ...
3x⁵ + 7x² -9x⁴
Steve ordered plastic cases for storing his baseball cards. Each case has a length of 12 centimeters, a width of 6.5 centimeters ,and a height of 1.25 centimeters, what is the volume, in cubic centimeters, of one baseball card case?
Answers
The volume of a rectangular prism is given by:
V = (L) * (W) * (H)
Where,
L: length
W: width
H: height.
Substituting the values we have:
V = (12) * (6.5) * (1.25)
V = 97.5 cm ^ 3
Answer:
the volume, in cubic centimeters, of one baseball card case is:
V = 97.5 cm ^ 3
Answer:
97.5
Step-by-step explanation:
A FIELD HOCKEY TEAM IS A RECTANGLE 60YARDS BY 100YARDS .WHAT IS THE LENGTH OF THE DIAGONAL FROM ONE CORNER TO THE FIELD TO THE OPPOSITE CORNER ROUND YOUR ANSWER TO THE NEAREST HUNDRETH
Answers
3600 + 10000 = X^2
13600 = x^2
X = Sqrt(13600)
X = 116.619
Diagonal = 116.62 yards
3600 + 10000 = c^2
13600 = c^2
c = 116.62 yd
what is the slope of the line through (2,-2) and (9,3)
Answers
Which graph represents y – 1 = 2(x – 2)?
Answers
Answer:
The graph is attached below
Step-by-step explanation:
y – 1 = 2(x – 2)
y-1 = 2x - 4
add 1 on both sides
y = 2x - 3
To graph the given equation we make a table
Plug in some number for x and find out the value of y
x y = 2x-3
-1 2(-1)-3= -5
0 2(0) -3= -3
1 2(1) -2= -1
The point to get the graph of the given equation is
(-1,-5) (0,-3) (1,-1)
The graph is attached below
Answer:
The answer is the first graph or graph A.
BTW this is just the short answer...
Its quicker. :-)
Which expression is equivalent to the given expression? 17x−32x A. x(32−17) B. 17(x−32) C. 17x(1−32) D. x(17−32)
Answers
good luck
When "[tex]x[/tex]" is by itself , it substitute as a invisible [tex]1 [/tex]
[tex]x(32 - 17) = 32x - 17x (Incorrect) \\ \\ 17(x - 32) = 17x - 544 (Incorrect) \\ \\ 17x (1 - 32 ) = 17x - 32 (Incorrect) \\ \\ x(17 - 32) = 17x - 32 (Correct) \\ \\ Answer: D. \\ \\ \\ Good \\ luck \\ on \\ your \\ assignment \\ and \\ enjoy \\ your \\ day! \\ \\ \\ LoveYourselfFirst:)[/tex]
The cost, c(x), for a taxi ride is given by c(x) = 3x + 2.00, where x is the number of minutes. On a piece of paper, graph c(x) = 3x + 2.00. Then determine which answer matches the graph you drew, including the correct axis labels.
Answers
The y-intercept of 2.00 indicates that even if the ride was 0 minutes, there is still a flat fee of $2.00.
What is a slope?If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of a line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
The characteristics of the graph of the equation c(x) = 3x + 2.00.
The graph of c(x) = 3x + 2.00 is a straight line with a slope of 3 and a y-intercept of 2.00.
The x-axis represents the number of minutes, and the y-axis represents the cost in dollars.
The slope of 3 indicates that for every additional minute of the taxi ride, the cost increases by $3.
The y-intercept of 2.00 indicates that even if the ride was 0 minutes, there is still a flat fee of $2.00.
To learn more about the slope;
brainly.com/question/3605446
#SPJ7
the width of an architects desk is represented by four times x squared and the length is represented by the expression 2x cubed. what represents the area of the tabletop
Answers
A field project superintendent earns an annual salary of $72,800, and she contributes $7900 per year to her 401(k) plan. If she has a required deduction for income taxes (federal, state, and local combined) of 28% of pretax income, how much does she have withheld in income taxes per year?
Answers
What this means in terms of the question is that we should deduct the $7,900 first and then take 28% of what is left for taxes.
This person's salary is $72,800 a year and they set aside $7,900 for their retirement account (401K) so that leaves $72800-$7900 = $64,900
She now pays taxes of 28% on this amount ($64,900). Percent means "out of 100" so 28% means [tex] \frac{28}{100}=.28 [/tex] and to find 28% of 64900 we multiply (64900)(.28) = $18172.
That is she has $18,172 withheld in taxes each year.
WILL GIVE A BRAINLEST!!!!!!
Solve and check : c-4/c-2=c-2/c+2 - 1/2-c
The solution is c =
How many extraneous solutions are there?
Answers
(c-4)/(c-2)=(c-2)/(c+2) - 1/(2-c)
- 1/(2-c)=-1/-(c-2)=1/(c-2)
(c-4)/(c-2)=(c-2)/(c+2)+ 1/(c-2)------- > (c-4)/(c-2)-1/(c-2)=(c-2)/(c+2)
(c-4-1)/(c-2)=(c-2)/(c+2)---------------- > (c-5)/(c-2)=(c-2)/(c+2)
(c-5)/(c-2)=(c-2)/(c+2)------------- > remember (before simplifying) for the solution that c can not be 2 or -2
(c-5)*(c+2)=(c-2)*(c-2)------------------ > c²+2c-5c-10=c²-4c+4
-3c-10=-4c+4----------------------------- > -3c+4c=4+10----------- > c=14
the solution is c=14
the domain of the function is (-∞,-2) U (-2,2) U (2,∞) or
all real numbers except c=-2 and c=2
The solution is c = 14
How many extraneous solutions are there? zero
If c is a constant such that 9x^2+10x+c is equal to the square of a binomial, then what is c?
I NEED HELP SO BAD PLEASE PLEASE PLEASE
Answers
= 9x^2 + 6b x+ b^2
1) 6b= 10
b+ 5/3
2) c=b^2
c= (5/3) ^2
c= 25/9
(9x^2+10x+25/9)=(3x+5/3)^2
I hope this helps:)
Can someone help me please I would appreciate it.
I well mark brainliest if u explain
Please.
Answers
Write an equation of the line pictured in the graph.
Answers
30 POINTS + BRAINLIEST!
Answers
We have to find the value of 'x' in [tex] \sin (x+22)^{\circ}=\cos (2x-7)^{\circ} [/tex]
By using the complementary angle formula which states:
[tex] \cos (90-\Theta )=\sin \Theta [/tex]
Now,
[tex] \cos (90^{\circ}-(x+22)^{\circ})=\cos (2x-7)^{\circ} [/tex]
Therefore, we get
[tex] 90-(x+22)= (2x-7) [/tex]
[tex] 90-x-22= (2x-7) [/tex]
[tex] 68=3x -7 [/tex]
[tex] 75=3x [/tex]
[tex] x=25^{\circ} [/tex]
Answer:
Lets go by a step-by-step process.
Step-by-step explanation:
\cos (90-\Theta )=\sin \Theta
Now,
\cos (90^{\circ}-(x+22)^{\circ})=\cos (2x-7)^{\circ}
Now we have...
90-(x+22)= (2x-7)
90-x-22= (2x-7)
68=3x -7
75=3x
x=25^{\circ}
Does the equation x2 - 4x + y2 = -3 intersect the x-axis?
Answers
x^2 - 4x + 0 = -3
We then want to solve for x. We can do this by factoring.
x^2 - 4x + 3 = 0
By factoring...
(x - 3)(x - 1)
We can set each of these equations = 0 to solve where the function crosses the x-axis.
x - 3 = 0
x = 3
x - 1 = 0
x = 1
So we know at x = 1 and x = 3, the function x^2 - 4x + y^2 = -3 intersects the x-axis.
Answer:
Yes, because the center is on the x-axis.
Step-by-step explanation:
First, write the equation in standard form by completing the square.
x2 - 4x + y2 = -3
x2 - 4x + 4 + y2 = -3 + 4
(x - 2)2 + y2 = 1
The circle is centered at (2, 0) with a radius of 1. Since the circle is centered on the x-axis, it intersects the x-axis two times, at (3, 0) and (1, 0).
1.4 + 2/5x = 3/15x - 0.8 How do you solve this?
Answers
1.4+2/5x=3/15x-.08
you have to isolate the x
first add .08 to both sides
1.48+2/5=3/15x
i would now find the equivalence fraction of 2/5 with the denominator of 15. To do this you have to multiply 5 by 3 to get 15 so, you multiply the original numerator to get the equivalent one. 2(3)=6
1.48+6/15x=3/15x
now i am going to subtract 6/15x from both sides
1.48= -3/15x
to get rid of the fraction i am going to convert it to a decimal.
-3/15= -.2
1.48= -.2x
now i have to divide both sides by -.2
7.4=x
What is the area of a sector with a central angle of π3 radians and a radius of 12.4 m? Use 3.14 for π and round your final answer to the nearest hundredth. Enter your answer as a decimal in the box.
Answers
Answer: [tex]80.47\ m^2 [/tex]
Step-by-step explanation:
The area of a sector is given by :-
[tex]\text{Area of sector}=\frac{\theta}{2}\times( r^2), \text{where }\theta\text{ is measure of central angle in radians.}[/tex]
Given :Central angle = [tex]\theta=\frac{\pi}{3}[/tex]
radius = 12.4 m
Then,
[tex]\text{Area of sector}=\frac{\frac{\pi}{3}}{2}\times( (12.4)^2)\\\\\Rightarrow\ \text{Area of sector}=\frac{\pi}{6}\times153.76\\\\\Rightarrow\ \text{Area of sector}=\frac{3.14}{6}\times153.76\\\\\Rightarrow\ \text{Area of sector}=80.4677333333\approx80.47\ m^2 [/tex]
What is the sum of the “outer” and “inner” products as described in the FOIL method when multiplying (x + 5)(x - 6)?
A. -6x
B. -x
C. x
D. 5x
Answers
The "inner" terms are +5 and x, so their product is 5x.
The sum of "outer" and "inner" terms is -6x +5x = -x. (selection B)
Answers anybody???????
Answers
.. As = (1/2)*r^2*(5π/6)
The area of the white triangle in that sector is
.. At = (1/2)*r^2*sin(5π/6)
The orange shaded area is the difference between these.
.. A = As -At = (1/2)*r^2*(5π/6 -sin(5π/6))
.. = (1/2)*(27.8 in)^2*(5π/6 -1/2)
.. A ≈ 818.4 in^2