Answer:
∠ GFC = 67°
Step-by-step explanation:
The sum of the 3 angles in Δ BCF = 180° , then
∠ FCB + 73° + 40° = 180°
∠ FCB + 113° = 180° ( subtract 113° from both sides )
∠ FCB = 67°
∠ GFC and ∠ FCB are alternate angles and are congruent , so
∠ GFC = 67°
SOMEONE PLEASE HELP ME!!!!!!!!
9514 1404 393
Answer:
PQ = 46
Step-by-step explanation:
Midsegment ST is half the length of base segment PQ.
2×ST = PQ
2×(5x -22) = 3x +19
10x -44 = 3x +19 . . . . . . . eliminate parentheses
7x = 63 . . . . . . . . . . . . add 44-3x
x = 9 . . . . . . . . . . . . divide by 7
PQ = 3x +19 = 3×9 +19
PQ = 46
0.108 ÷ 0.09
Please help in less then 3 mins
A farmer weighs a dozen chicken eggs. The heaviest egg is 56 g.
Step-by-step explanation:
hi
what is your question?
Step-by-step explanation:
please tell full questions
A student decides she wants to save money to buy a used car, which costs $2600. She comes up with what she thinks is a very modest savings plan. She decides to save 2 cents the first day and double the amount she saves each day thereafter. On the second day she plans to save 4 cents, on the third day, 8 cents, and so on. Determine how long it will take her to save enough money to buy the car ?
Answer:
17 days
Step-by-step explanation:
as you see, 4=2^2
and 8=2^3
so we have a number sequence:
2+2^2+2^3+...+2^n=260000 (1)
multiply (1) by 2 we have:
2^2+2^4 +...+2^(n+1)=520000 (2)
(2) minus (1) we have:
2^(n+1)-2=260000
2^n*2=260002
2^n=130001
and we have 2^17=131072 >130001
so it will take her at least 17 days to buy the car
It will take her about 17 days to buy the car worth 260000 cents
If a student decides she wants to save money to buy a used car that cost $2600 (260,000 cents)
If she saves 2 cents the first day and doubles the amount thereafter, the sequence of savings will be:
2, 4, 8...
This sequence is geometric in nature
In order to determine how long it will take her to save 260,000, we will use the sum of a GP formula expressed as:
[tex]S_n = \frac{a(r^n-1)}{r-1}[/tex]
Given the folowing
a = 2
r = 4/2 = 8/4 = 2
Sn = 260,000
Substitute into the formula the given parameters
[tex]260000= \frac{2(2^n-1)}{2-1}\\260000/2=2^n-1\\130000 = 2^n - 1\\2^n = 130000 + 1\\2^n = 130001\\nlog 2=log130001\\n = \frac{log130001}{log2} \\n \approx 17[/tex]
This shows that it will take her about 17 days to buy the car worth 260000 cents
Learn more here: https://brainly.com/question/20548958
Hi! I'd appreciate it if you could help me on this question. The question I need help with is question 42. Thank you If you could help me!!
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Answer:
19 hours
Step-by-step explanation:
Add up the numbers:
3×3.5 +2×2.0 +4.5 = 19
Jacob trains 19 hours per week.
Which function represents the graph of f(x)=−4|x| after it is translated 3 units down?
Answer:
The function with blue line (see attachment) represents the graph of [tex]f(x) = -4\cdot |x|[/tex] after it is translated 3 units down.
Step-by-step explanation:
Mathematically speaking, a translation in the y-direction is defined by the following expression:
[tex]g(x) = f(x) + k[/tex] (1)
Where:
[tex]g(x)[/tex] - Resulting function.
[tex]f(x)[/tex] - Original function.
[tex]k[/tex] - Translation factor ([tex]k > 0[/tex] - Translation in the +y direction/[tex]k< 0[/tex] - Translation in the -y direction).
If we know that original function is translated 3 units down and [tex]f(x) = -4\cdot |x|[/tex], then the resulting function is:
[tex]g(x) = -4\cdot |x|-3[/tex]
Lastly, we graph both original and resulting functions with the help of a graphing tool, whose outcome is presented in the image attached below:
Please notice that the red line represents the original function, whereas the blue line represents the resulting function.
Hoa mua 2 con gà . Lan mua 4 con gà. Hỏi cả 2 bạn mua bao nhiêu con gà
Answer: 6 con ga
Step-by-step explanation:
So ga ca 2 ban mua la:
2+4=6 (con ga)
need help on this math problem
Answer:
[tex]-5, 18, \sqrt{13}[/tex]
Step-by-step explanation:
We can solve the first equation, f of -3. The value of the function f is [tex]\frac{1+x^2}{x+1}[/tex], and plugging in -3 gets us [tex]\frac{1+9}{1-3}[/tex], this results in 10 divided by negative 2, which is negative 5.
Now, we must solve g of negative one third. The function g is defined as [tex]|9x-15|[/tex]. Plugging in negative one third into the question gets us [tex]|9(-\frac{1}{3})-15|[/tex]
9 times negative one third is -3, and -3 minus 15 is -18. The absolute value of -18 is 18.
Now, we must solve h of negative 2, and h is defined as [tex]\sqrt{-3-8x}[/tex]. Plugging in negative 2, we have [tex]\sqrt{-3-8(-2)}[/tex]. Negative 8 times negative 2 is positive 16, and 16 minus 3 is 13. The answer is the square root of 13
Which type of correlation does the scatter plot show?
A) No correlation
B) Positive correlation
C) Negative correlation
D) Can't be determined
Answer: B, Positive Correlation
Step-by-step explanation:
Every point after the first point increases. Therefore, we have a positive correlation. If it was a negative correlation, every point after the first would be decreasing.
What is the standard deviation?
8, 10, 12,14,16,18,20
PLEASE show work
Answer:
4
Step-by-step explanation:
The given data is :
8, 10, 12,14,16,18,20
We need to find the standard deviation. Here,
Count = 7
Sum, Σx: 98
Mean, μ: 14
The standard deviation is given by :
[tex]\sigma=\sqrt{\dfrac{1}{N}\Sigma(x_i-\mu)^2}[/tex]
or
[tex]\sigma^2=\dfrac{1}{N}\Sigma(x_i-\mu)^2\\\\=\dfrac{(8-14)^2+...+(20-14)^2}{7}\\\\=\dfrac{112}{7}\\\\\sigma^2=16\\\\\sigma=4[/tex]
So, the standard deviation of the given data is 4.
What error, if any, did Noah make?
Answer:
breathing, jk buddy
Step-by-step explanation:
Salaries of entry-level computer engineers have Normal distribution with unknown mean and variance. Three randomly selected computer engineers have following salaries (in $1000s): 70, 80, 90. The average and the standard deviation of the data in the sample are 80 and 10. Using hypothesis testing, determine if this sample provides a sufficient evidence, at a 10% level of significance, that the average salary of all entry-level computer engineers is different from $60,000.
a. Null hypothesis.
b. alternative hypothesis.
c. test statistic.
d. acceptance region.
Answer:
H0 : μ = 60000
H1 : μ ≠ 60000
Test statistic = 3.464
Step-by-step explanation:
Given :
Sample mean salary, xbar = 80000
Sample standard deviation, s = 10000
Population mean salary , μ = 60000
Sample size, n = 3
Hypothesis :
H0 : μ = 60000
H1 : μ ≠ 60000
The test statistic :
T = (xbar - μ) ÷ (s/√(n))
T = (80000 - 60000) ÷ (10000/√(3))
T = 20000 / 5773.5026
T = 3.464
The Decison region :
If Tstatistic >Tcritical
Tcritical at 10%, df = 2 ; two - tailed = 2.9199
Tstatistic > Tcritical ; He
It is known that the variance of a population equals 1,936. A random sample of 121 has been selected from the population. There is a .95 probability that the sample mean will provide a margin of error of _____. Group of answer choices 31.36 or less 1,936 or less 344.96 or less 7.84 or less
Answer:
Option d (7.84 or less) is the right alternative.
Step-by-step explanation:
Given:
[tex]\sigma^2=1936[/tex]
[tex]\sigma = \sqrt{1936}[/tex]
[tex]=44[/tex]
Random sample,
[tex]n = 121[/tex]
The level of significance,
= 0.95
or,
[tex](1-\alpha) = 0.95[/tex]
[tex]\alpha = 1-0.95[/tex]
[tex]Z_{\frac{\alpha}{2} } = 1.96[/tex]
hence,
The margin of error will be:
⇒ [tex]E = Z_{\frac{\alpha}{2} }(\frac{\sigma}{\sqrt{n} } )[/tex]
By putting the values, we get
[tex]=1.96(\frac{44}{\sqrt{121} } )[/tex]
[tex]=1.96(\frac{44}{11} )[/tex]
[tex]=1.96\times 4[/tex]
[tex]=7.84[/tex]
When multiplying by 10 how many spaces do you move the decimal point
Answer:
If you multiply a decimal by 10, the decimal point will move one place to the right. If you divide a decimal by 10, the decimal point will move one place to the left.
Step-by-step explanation:
Multiplying a decimal by 10 increases the value of each digit by 10. Multiplying a decimal by a power of 10 increases the value of each digit by a number of times that is equivalent to that power of 10. When a digit's value is changed, that digit is moved to the appropriate place.
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each quadratic equation with its solution set.
Answer:
2x^2 - 9x -1 = 0
Solution: x = 9 ±√89/4
2x^2 -9x +6 = 0
Solution: 9 ± √33/4
Step-by-step explanation:
Given the equation;2x^2 - 9x -1 = 0
From the quadratic formula;
-b ±√ b^2 -4ac/2a
We have;
x= -(-9) ± √(-9)^2 - -4(2)(-1)/2(2)
x = 9 ±√89/4
Also;
Given the equation: 2x^2 -9x +6 = 0
From the quadratic formula: -b ±√ b^2 -4ac/2a
We have;
x= -(-9) ± √(-9)^2 - 4(2)(6)/2(2)
x= 9 ± √33/4
1.) 2x^2-9x+6 2.) 2x^2-8x+5 3.) 2x^2-9x-1 4.) 2x^2-8x-3
Step-by-step explanation:
Does the graph represent a function and if so, why?
A) Yes, there is more than one ordered pair in this list.
B) Yes, no two sets of ordered pairs occupy the same location.
C) No, some of the ordered pairs in this list have the same second element.
D) No, some of the ordered pair in this graph have the same first element.
Answer:
D
Step-by-step explanation:
if you draw any vertical line through a function it should have a max of one intersection point so if the graph, reading from left to right doubles back on itself, it is not a function
John borrowed a certain amount of money from Tebogo at a simple interest rate of 8,7% per year. After five years John owes Tebogo R10 000.Calculate how much money John initially borrowed
For the following function, one zero is given. Find all other zeros.
f(x)=x3-7x2+17x-15; 2-i
Answer:
1,-3,-5
Step-by-step explanation:
Given:
f(x)=x^3+7x^2+7x-15
Finding all the possible rational zeros of f(x)
p= ±1,±3,±5,±15 (factors of coefficient of last term)
q=±1(factors of coefficient of leading term)
p/q=±1,±3,±5,±15
Now finding the rational zeros using rational root theorem
f(p/q)
f(1)=1+7+7-15
=0
f(-1)= -1 +7-7-15
= -16
f(3)=27+7(9)+21-15
=96
f(-3)= (-3)^3+7(-3)^2+7(-3)-15
= 0
f(5)=5^3+7(5)^2+7(5)-15
=320
f(-5)=(-5)^3+7(-5)^2+7(-5)-15
=0
f(15)=(15)^3+7(15)^2+7(15)-15
=5040
f(-15)=(-15)^3+7(-15)^2+7(-15)-15
=-1920
Hence the rational roots are 1,-3,-5 !
Simplify 4(a + 1) + 5(a + 2).
Answer: [tex]9a+14[/tex]
Step-by-step explanation:
Simplify: [tex]4(a+1)+5(a+2)[/tex]
Step 1. Distribute 4 into a and 1. By distributing you would get 4a and 4.
[tex]4*a=4a. \\4*1=4[/tex]
Step 2. Plug 4a+4 back into the remaining equation, which can be viewed below:
[tex]4a+4+5(a+2)[/tex]
Step 3. Distribute, [tex]5(a+2)[/tex] again. Same principle as what you did previously. You should get 5a and 10.
[tex]5*a=5a.\\5*2=10.[/tex]
Step 4. Plug 5a+10 back into the leftover equation, which is as follows.
[tex]4a+4+5a+10[/tex]
Step 5. Combine like terms. Which is broken down below,
[tex]4a+5a=9a.\\4+10=14.[/tex]
Once you're done combining like terms, you'll get the simplified answer which is: [tex]9a+14[/tex]
Answer:
9a +14
Step-by-step explanation:
4(a + 1) + 5(a + 2)
Distribute
4a+4 +5a+10
Combine like terms
4a+5a +4+10
9a +14
Please help 20 points. I will give Brainly to who ever get it right.
The range is the an interval on the y-axis where the function is defined.
You can see that your function is y-wise going all the way down to negative infinity but then stops and continues the path along 2 on the upper bound.
The inequality describing the interval is thusly B,
[tex]-\infty\lt y\lt2[/tex]
Hope this helps :)
Barnes and Nobles buy a book for $12.22. They mark up the price of the book by 35%.
Which equation can be used to find how much they sell the book for?
x = .35 (12.22)
x = 1.35 (12.22)
x = .65 (12.22)
x = .035 (12.22)
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Answer:
x = 1.35 (12.22)
Step-by-step explanation:
The selling price x is ...
x = cost + markup
x = cost + 0.35 × cost = cost(1 +0.35)
x = 1.35(12.22)
what is the slope and point
Answer:
Step-by-step explanation:
Solve the inequality is it a,b,c,d?
Answer:
B
Step-by-step explanation:
-2/3x<31/3
x>-31/2
x>-15 1/2
Answer:
x > - 15 1/2
Step-by-step explanation:
-2/3 x -10 < 1/3
Multiply each side by 3
3(-2/3 x -10 < 1/3)
-2x -30 < 1
Add 30 to each side
-2x-30+30 <1+30
-2x < 31
Divide by -2 remembering to flip the inequality
-2x/-2 > 31/-2
x > -31/2
x > - 15 1/2
Suppose 1 in 5 (1/5) JWU students own their own car. If four students are randomly selected, what is the probability that all four own their car?
Answer:
1/625 = 0.0016
Step-by-step explanation:
update, oh sorry, this is about 4 picks and not 5.
so, it is 1/5⁴ = 1/625 = 0.0016
1 in 5 own their own car.
that is 20% or a chance of 1/5 = 0.2 of picking a student owning a car.
let's assume that the total number of students is large enough that each pick does not change the individual probabilities.
each event (picking a student and checking the ownership of a car) is independent and non-overlapping.
so, the probability that all 5 own a car is the chance of picking the 5th student owning a car AND all 4 previous student picks owning a car.
the probability that all 4 previous picks own a car is the chance of picking the fourth student owning a car AND all 3 previous student picks owning a car.
the probability that all 3 previous picks own a car is the chance of picking the third student owning a car AND all 2 previous student picks owning a car.
the probability that all 2 previous picks own a car is the chance of picking the second student owning a car AND the previous student pick owning a car.
the probability that the first student pick owns a car is 1/5 or 0.2
so, we have a clean
1/5×1/5×1/5×1/5×1/5 = 1/5⁵ probability = 1/3125 = 0.00032
please help me
find x
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Answer:
x = 6√2
Step-by-step explanation:
The side ratios in an isosceles right triangle are ...
1 : 1 : √2
These will be the same as ...
x : x : 12
so, ...
x = 12/√2
x = 6√2
Graph the inequality in the coordinate plane. y<6
Answer:
Simpler equations and inequalities as such could be typed into an online graphing calculator such as Desmos! Remember this because you'll need it for future harder math classes :)
Step-by-step explanation:
What type of line is PQ?
A. median
B. altitude
C. angle bisector
D. side bisector
I need help with this question to pass a test
Answer:
Option C, angle bisector
Answered by GAUTHMATH
Ngày 31/01/2021 theo biên bản kiểm kê vật liệu số 202101001: Trị giá vật liệu A trên sở kế toán: 20.000.000 đồng, theo số liệu thực tế: 18.000.000 đồng, giá trị vật liệu thiếu chưa rõ nguyên nhân
Answer:
Maaf saya tidak paham
jadikan jawaban tercerdas, terimakasih
Answer:
nợ tk 1381: 2 triệu / có tk 152: 2 triệu
true or false?
please help me out
Answer:
true
Step-by-step explanation:
the incenter of a triangle is the common intersection of the angle bisectors.hence always remains inside the triangle.
find the missing side round to the nearest tenth brainly
Answer:
Sin43 = x/13
x= 13* sin43
x= 8.865
Answer:
8.9
Step-by-step explanation:
using sine rule
[tex] \frac{x}{sin \: 43} = \frac{13}{sin \: 90} [/tex]
cross multiply
x sin 90=13 sin 43
x=13 sin 43
x=8.9