Answer:
69
Step-by-step explanation:
it is 69 becuase 4x-7+11x-8 equals 69
We have: 2.(4x - 7)° + 2(11x - 8)° = 360°
So: 8x - 14 + 22x - 16 = 360°
<=> 30x - 30 = 360°
<=> 30(x - 1) = 360°
<=> x - 1 = 12
<=> x = 13°
We know: ∠G = ∠F = (11x - 8)° = ( 11.13-8)° = 135°
The answer: ∠G = 135°
Ok done. Thank to me :>
Can someone help me I don't understand
Answer:
Q'(3,1) R'(2,5) S'(4,3)
Step-by-step explanation:
Q (-4,-4) -4+7= 3 and -4+5=1 so (3,1)
R (-5,0) -5+7=2 and 0+5=5 so (2,5)
S (-3,-2) -3+7=4 and -2+5=3 so (4,3)
Which graph represents a decreasing trend
Answer:
Excuse me! plz provide the graphs 2.
in 16 years, Marissa will be five times older than she is today. How old is she?
Answer:
4
Step-by-step explanation:
1 5
2 10
3 15
4 20
i wrote it out
x+16=5x
16=4x
4=x
Marissa is currently four years old.
What is algebra?Algebra is a discipline of mathematics that deals with symbols and the rules that govern their use.
Equations in mathematics express relationships between variables in the same way that sentences indicate relationships between specific words.
Let's represent Marissa's current age "x".
According to the given question, in 16 years she will be five times older than she is today, which we can express as:
x + 16 = 5x
Solving for x, we can subtract x from both sides:
16 = 4x
Dividing both sides by 4, we get:
x = 4
Therefore, Marissa is currently 4 years old.
To learn more about the Algebra link is given below.
brainly.com/question/953809
#SPJ6
What is the area of the triangle in the diagram?
Answer:
l think the answer is =C for this area of triangle
how do I simplify when there are fractions on fractions
Answer: y/y+x
Step-by-step explanation: Reduce the fraction at the bottom (1 - x/y) (1 + x/y) = 1 + x/y = simplify and you get y/y+x
Please answer correctly and you will receive a crown and brainliest.
Answer:
See explanation
Step-by-step explanation:
Chevy Malibu hybrid = 6.8
Ford mustang = 9.6
Nissan Pathfinder = 10.8
Toyota Corolla = 6.3
1. Chevy Malibu hybrid to Toyota Corolla = 6.8 to 6.3
= 6.8 : 6.3
= 6.8 / 6.3
2. Nissan Pathfinder to Ford mustang = 10.8 to 9.6
= 10.8 : 9.6
= 10.8 / 9.6
= 2.7 / 2.4
3. Toyota Corolla to Nissan Pathfinder = 6.3 to 10.8
= 6.3 : 10.8
= 6.3 / 10.8
4. Ford mustang to Chevy Malibu hybrid = 9.6 to 6.8
= 9.6 : 6.8
= 9.6 / 6.8
= 2.4 / 1.7
Which equation matches the graph shown?
Answer:
f(x) = -(x+2)(x-1)
Step-by-step explanation:
We know the zeros are at 1 and -2
f(x) = a *(x-b1)(x-b2) where b1 and b2 are the zeros and a is a constant
f(x) =a(x-1)(x- -2)
f(x) =a(x-1)(x+2)
We know that a must be negative since the parabola opens down so
The only choice is choice D where a = -1
f(x) = -(x+2)(x-1)
(Will give brainliest)
A candy company claims that their bags of jellybeans have a mean weight of 9.45 oz. 125 randomly chosen bags of jellybeans were sampled, and it was discovered that their mean weight was 9.68 oz, with a standard deviation of 1.23 oz. Test this hypothesis using a 99% confidence level.
A- Reject the null hypothesis. There is not enough evidence to oppose the company's claim.
B- Reject the null hypothesis. There is enough evidence to oppose the company's claim.
C- Fail to reject the null hypothesis. There is not enough evidence to oppose the company's claim.
D- Fail to reject the null hypothesis. There is enough evidence to oppose the company's claim.
Answer: C- Fail to reject the null hypothesis. There is not enough evidence to oppose the company's claim.
Note: I'm not sure this is correct o_O
I used a graphing calculator and calculated the t-interval of the jellybean sample using a 99% confidence level:
tInterval 9.68,1.23,125,0.99
It resulted in 9.68 ± 0.287805.
Therefore, we're 99% confident that the weight number of jellybeans would lie between 9.3922 oz and 9.9678 oz.
A weight of 9.45 oz lies within this range, therefore, it is possible that the candy company's claim is true.
Fail to reject the null hypothesis. There is not enough evidence to oppose the company's claim.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Mean weight was 9.68 oz
standard deviation of 1.23 oz
n=125
µₙ=9.68
σₙ=1.23/√125
=0.11
Confidence level 99%
z=2.58
-z<x-µₙ/σₙ<z
9.68-2.58(0.11)<x<9.68+2.58(0.11)
9.3962<x<9.9638
9.45 is between this range
Fail to reject the null hypothesis. There is not enough evidence to oppose the companys claim.
Hence, Fail to reject the null hypothesis. There is not enough evidence to oppose the company's claim.
To learn more on Statistics click:
https://brainly.com/question/29093686
#SPJ2
Please help me find the area of this figure! Thanks!!
Answer:
Step-by-step explanation:
Figure consists of three parts; one Triangle , one rectangle and a square.
Triangle:
Base = b = 13+9 = 22 cm
height = 16 cm
[tex]Area \ of \ triangle = \frac{1}{2}* b*h\\\\= \frac{1}{2}*22*16\\\\= 11 *16\\\\= 176 \ cm^{2}[/tex]
Rectangle 1:
length = 14 cm
Width = 4 cm
Area of R1 = length * width = 14 * 4 = 56 cm²
Area of Square R2:
side = 8 cm
Area of square = side * side = 8 * 8 = 64 cm²
Area of shaded region = 176 + 56 + 64 = 296 cm²
Help ! With step by step solution
Answer:
the correct answer is C
Step-by-step explanation:
first step you change the x and y powers to the square root(showing in the pic).
second the number outside of the parenthesis times the numbers inside the parenthesis and then you just figure it out how it works...
Is 5 a prime number
Answer:
yes
Step-by-step explanation:
A prime number is only divisible by 1 and itself in terms of natural numbers
5 is only divisible by 1 and 5 so it is a prime number
⁴⁄₇ × ²⁄₃
Click the picture so that you can see the whole question
Answer:
8/21
Step-by-step explanation:
just multiply the numerator and denominator
Working as a team, 8 mathletes can solve 20 problems in 10 minutes. At this same rate, how many mathletes are needed in order to solve 30 problems in 5 minutes?
Answer:
12 mathletes is needed to solve 30 problems in 5 minutes
Step-by-step explanation:
8 athletes can solve 20 problems in 10 minutes
30-20=10
now we need 10 more problems to be solved so
20/2=10. 8/2=4 so we need more 4 mathletes to solve all the problems
write two inequalities to compare -2 and -18
Step-by-step explanation:
here's the answer to your question
Find the area of sector TOP in (O using the given information. Leave your
answer in terms of π.
13. r = 5 m, m = 90 degrees
Answer:
Pls give me the answers as soon as possible and make sure that the answers are correct.
what is the rule for the reflection
Step-by-step explanation:
We reflect We triangle across both axis so the x and y values will both switch.
Our triangle is originally in the second quadrant but then go to the 4the after we reflect it.
Second Quadrant are
^;8+1—](
Helpppp and explain pls and ty
Step-by-step explanation:
2 gallons are needed for 10 galloms of lemonade
Two angles are a linear pair. The measure of one angle is 10 more than 25% of the other. Find the measures of both angles.
Answer:
Linear pairs add up to 180°
1st angle = x
2nd angle = x+24 (24° more than the first)
The equation would be
1st angle + second angle = 180 Subbing in the expressions we came up with:
x+x+24 = 180
Danny Metzger's parents invested $1600 when he was born. This money is to be used for Danny's college education and is to be withdrawn in four equal annual payments beginning when Danny is age 19. Find the amount that will be available each year, if money is worth 7%, compounded annually. (Round your answer to the nearest cent.)
Answer:
[tex]\begin{array}{ccl}Year&&End \ of \ year \ balance\\1&&\$4,483.18\\2&& \$3,088.68\\3&&\$1,596.57\\4&&0\end{array}[/tex]
Step-by-step explanation:
The initial amount invested, P = $1,600
Danny's age at which the amount, A, is to be used for his college, t = 19 years
The number of equal annual payments, m, to be withdrawn from the amount = 4
The compound interest on the account, r = 7% = 0.07
Let, A, represent the amount at the year the annual withdrawals starts to be made, we have;
[tex]A = P \times \left(1+\dfrac{r}{n} \right)^{n \times t}[/tex]
n = The number of times the interest is applied annually = 1
Therefore;
[tex]A = 1,600 \times \left(1+\dfrac{0.07}{1} \right)^{1 \times 19} \approx 5,786.444[/tex]
The amount, m, is withdrawn at start of Danny's first year in college to give the amount in the account = A - m
The amount in the account at the end of the first year with compound interest, r = (A - m)×(1 + r)¹ = (A - m)×(1 + r)
At the stat of the second year, the second withdrawal is made to give the starting amount = (A - m)×(1 + r) - m
The amount in the account at the end of the second year = ((A - m)×(1 + r) - m)×(1 + r)
At the start of the third year, the amount in the account = ((A - m)×(1 + r) - m)×(1 + r) - m
At the end of the third year, we have the amount in the account = (((A - m)×(1 + r) - m)×(1 + r) - m) × (1 + r)
At the start of the forth year, the last yearly installment is withdrawn from the account and we have 0 balance in the account.
Therefore, on the fourth year, we have the amount in the account = (((A - m)×(1 + r) - m)×(1 + r) - m) × (1 + r) - m = 0
(A - m)×(1 + r)³ - m×(1 + r)² - m × (1 + r) - m = 0
A×(1 + r)³ - m×(1 + r)³ - m×(1 + r)² - m × (1 + r) - m = 0
A×(1 + r)³ = m×(1 + r)³ + m×(1 + r)² + m×(1 + r) + m = m × ((1 + r)³ + (1 + r)² + (1 + r) + 1)
A×(1 + r)³ = m × ((1 + r)³ + (1 + r)² + (1 + r) + 1)
m = A×(1 + r)³/((1 + r)³ + (1 + r)² + (1 + r) + 1)
∴ m = 5,786.444×(1 + 0.07)³/((1 + 0.07)³ + (1 + 0.07)² + (1 + 0.07) + 1) ≈ 1,596.56
The amount withdrawn annually, m ≈ $1,596.56
The amount in the account at the end of the each year is given as follows;
First year = (A - m)×(1 + r) = (5,786.444 - 1,596.56)×(1 + 0.07) ≈ 4,483.17588
Second year = ((A - m)×(1 + r) - m)×(1 + r) = ((5,786.444 - 1,596.56)×(1 + 0.07) - 1,596.56)×(1 + 0.07) = 3,088.68
Third year = (((A - m)×(1 + r) - m)×(1 + r) - m) × (1 + r) = (((5,786.444 - 1,596.56)×(1 + 0.07) - 1,596.56)×(1 + 0.07) - 1,596.56) × (1 + 0.07) = 1,596.57
At the end of the first year, we have $4,483.17588
At the end of the second year, we have $3,088.68
At the end of the third year, we have $1,596.57
At the end of the fourth year, we have 0
construct a 2 ×2 Matrix whose elements aij are given by a ij = i+j
[tex]★ \sf\pink{Need \: Required \: Answer}[/tex]
Answer:
the required matrix is can be given as
Can someone please help me with Q2?
Answer:
To find the point of intersection, you have to set both equations equal to each other and solve. After solving, plug it back into one of the equations. (Its pretty simple so don't worry :] )
y1 = 2x + 4
y2 = 3x-9
y1 = y2
2x + 4 = 3x - 9
4 = x - 9
x = 13
--> Plug x back into an equation for y coordinate. I will be using y1.
2(13) + 4
26 + 4 = 30
y = 30
The point of intersection is (13,30)
The population of a city is currently 45,000 and is declining at a rate of 2% each year. Give a formula for determining the total population after a period of t years.
Question 4 options:
A)
A = (45,000)e–0.02t
B)
A = 45,000 + e–0.02t
C)
A = (45,000)e0.02t
D)
A = 45,000 + e0.02t
Answer:
Step-by-step explanation:
The general form of this equation is
[tex]A=Pe^{rt}[/tex] where P is the initial population, e is Euler's number (a constant), r is the rate of decay, and t is the time in years.
Therefore, filling in:
[tex]A=45000e^{-.02t[/tex]
help! please!!!!!! look at photo :))
Hey there!
We know that Danielle earns $10 per hour, so muliply that by 3 and get 30.
Because Danielle works an extra half an hour, divide 10 by 2 and get 5.
Danielle earns $35 in 3 hours and a half.
Hope this helps! Please mark me as brainliest!
Have a wonderful day :)
find the length of side x to the nearest tenth
Answer:
9.9
Step-by-step explanation:
x = √(7²+7²)
= √(49+49)
= √(49×2)
= 7√2
= 9.9 (rounded to the nearest tenth)
Answered by GAUTHMATH
Answer:
9.9
Step-by-step explanation:
Since this is a right and isosolese triangle, the adjacent side is also 7, so
c**2 = a**2 + b**2
c**2 = 7**2 + 7**2
c**2 = 49 + 49 = 98
c = +- (98)**1/2
c = 9.9
URGENT PLS HELP. pls put explanation as well thank you:)
Answer:
Domain of the given figure is the set of all real numbers.
Step-by-step explanation:
We know that domain is the possible values of x and through the graph it's clear that we can put any value of x in the given function.
What is an equation of the line that passes through the points (0, 8) and (-8, -4)?
Answer:
y = 1.2x + 2
Step-by-step explanation:
slope = (8 - 2)/(5 - 0) = 6/5y-intercept = (0, 2)y = (6/5)x + 2y = 1.2x + 2
Answer:
y=1.5x +8
Step-by-step explanation:
Giving brainliest! Graph and solve the inequality y≤2|x+2|-7
Show the vertex, whether it’s a dotted or solid line, and axis of symmetry, also where the graph should be filled in!
Answer:
hope this helps u......
Answer:
Step-by-step explanation:
I don't know why the graphs I have been putting in look like that. simpler way of putting it is the line is where the red and black meet. if that makes sense. I'm sorry if is doesn't. I hope this helps tho.
Ten people are sitting in a row, and each is thinking of a negative integer no smaller than $-15$. Each person subtracts, from his own number, the number of the person sitting to his right (the rightmost person does nothing). Because he has nothing else to do, the rightmost person observes that all the differences were positive. Let $x$ be the greatest integer owned by one of the 10 people at the beginning. What is the minimum possible value of $x$
Correct question is;
Ten people are sitting in a row, and each is thinking of a negative integer no smaller than −15. Each person subtracts, from his own number, the number of the person sitting to his right (the rightmost person does nothing). Because he has nothing else to do, the rightmost person observes that all the differences were positive. Let x be the greatest integer owned by one of the 10 people at the beginning. What is the minimum possible value of x?
Answer:
Minimum possible value of x = -6
Step-by-step explanation:
Since there are 10 people and the rightmost person observes that all the differences from the subtraction or positive.
What this implies is that the person on the far left side of the row will have the largest number which from the quewis denoted as x.
Thus, we can say that the person sitting to the far right end on the row will have the smallest integer.
Since we want to minimize x, and for the fact that we are told that each is thinking of a negative integer no smaller than −15, then we will have to make the rightmost person have an integer of -15.
Since there are 9 people remaining on the row, thus, we add 9 to -15 to get the integer of the person for the leftmost person which will be the minimum he will have.
Thus;
-15 + 9 = -6
The domain for f(x) and g(x) is the set of all real numbers.
Let f(x) = 3x + 5 and g(x) = x2.
Find f(x) • g(x).
A: 3x2 + 5
B: 3x3 + 5x2
C: x2 − 3x − 5
D: 3x3 + 3x2 + 5
Plsssss help its for a test
Answer:
3 x³ + 5x²
Step-by-step explanation:
that is the procedure above
A certain country is divided into 5 provinces. Each province consists entirely of Progressives and Traditionalists. If each province contains the same number of Traditionalists and the number of Traditionalists in any given province is 1/10 the total number of Progressives in the entire country, what fraction of the country is Traditionalist
Answer:
one third (1/3)
Step-by-step explanation:
we have 5 provinces.
Each province contains the same number of Traditionalists, let's say that there are T traditionalists per province, thus, there are:
5*T in the country.
now we know that in each province, the number of traditionalists is equal to 1/10 of the total number of progressives in the entire country.
If there are a total of P progressives in the entire country, we will have that:
T = P/10
Then the total number of traditionalists in the entire country is:
5*T = 5*(P/10) = P/2
So in the whole country, there are P progressives and P/2 traditionalists.
So the total population is:
total = P + P/2 = (3/2)*P
We want to know what fraction of the country is traditionalist, this is equal to the quotient between the traditionalist population, P/2, and the total population, (3/2)*P
This is:
[tex]c = \frac{P/2}{(3/2)*P} = 1/3[/tex]
So one third of the country is traditionalist.