Answer:
F(n) = F(n-1) + F(n-2), therefore, we have:
The 5th term would be: 12 + 19 = 31
The 6th term would be: 19 + 31 =50
Hope this helps!
:)
Plz help me I don’t really understand this topic
Answer:
2/7, 7/13, 5/9, 10/11
Step-by-step explanation:
I used benchmark fractions to determine the order of the fractions above. 2/7 is close to 0, so it is first. 7/13 is close to 1/2, but is less than 5/9, so it is second. 5/9 is also close to 1/2, but it is greater than 7/13, so it is third. 10/11 is close to 1, so it is last.
If this answer is correct, please make me Brainliest!
Answer:
From least to greatest, 2/7-7/13-5/9-10/11
Step-by-step explanation:
It is obvious that 2/7 is the least and 10/11 is the most, and two find out the two middle fractions you should cross multiply to see which is bigger.
7 5
___ and ___ so now you multiply the denominators together to get 117
13 9
so the fractions will become
7*9 5*13
___ and ___ and when u multiply them together you get 63 for 7/13 and 65
117 117
for 5/9, so 5/9 is bigger
What is the greatest common factor for each group?
Answer:
Left group: [tex]2x^{5\\}[/tex] Right group: 3
Step-by-step explanation:
Right group: 3.x - 21 = 3.x - 3.7 = 3 . ( x - 7 )
21 is equal 3 times 7. When we do this change, it is clear which is the common factor, which is just the number 3.
Left group: 2[tex]x^{6\\}[/tex] + 14[tex]x^{5\\} \\[/tex] = 2[tex]x^{5\\}[/tex].x + 2[tex]x^{5}[/tex].7 = 2[tex]x^{5\\}[/tex] . (x + 7)
Explanation: From the first term we can take 2[tex]x^{5\\}[/tex] and an x is the rest. From the second term we take 2[tex]x^{5\\}[/tex] either, but here the rest is 14. That's the reason the common factor is 2[tex]x^{5\\}[/tex].
Which of the following sets of points are vertices of a right triangle?
1) A(-1, -3), B(4, -3), C(2, -1)
2) A(-2, 2), B(1, -4), C(4, 2)
3) A(-1, 1), B(3, 5), C(4, -4)
4) A(-1, 3), B(-4, -3), C(-4, 1)
I scanned for a pair of x coordinates that match and a pair of y coordinates that match. That would be a right triangle whose sides are parallel to the axes. It's possible our right triangle is more complicated, but let's start here.
Nope, it doesn't look like our right triangle is oriented to the axes. Let's do the Pythagorean Theorem.
1) A(-1, -3), B(4, -3), C(2, -1)
AB² = (4 - -1)² + (-3 - -3)² = 25
AC²= (2 - -1)² + (-1 - -3)² = 9 + 4 = 13
BC²= (2 - 4)² + (-1 - -3)² = 4 + 4 = 8
25 ≠ 13 + 8, not a right triangle
2) A(-2, 2), B(1, -4), C(4, 2)
AB² = (-2 - 1)² + (-4 - 2)² = 9 + 36 = 45
AC²= (4 - -2)² + (2 - 2)² = 36
BC²= (4 - 1)² + (2 - -4)² = 9 + 36 = 45
not a right triangle, but isosceles
3) A(-1, 1), B(3, 5), C(4, -4)
AB² = 4² + 4² = 32
AC²= 5² + 5² = 50
BC²= 1² + 9² = 82
BC² = AC² + AB², THIS IS A RIGHT TRIANGLE
4) A(-1, 3), B(-4, -3), C(-4, 1)
AB² = 3² + 6² = 45
AC²= 3² + 2² = 13
BC²= 0² + 4² = 16
not a right triangle
Answer: 3) A(-1, 1), B(3, 5), C(4, -4)
3~ Please help. What is m∠BED?
Enter your answer as a number, like this: 42
Answer:
34
Step-by-step explanation:
There is the same opposite arch for both angles so they should be equal.
Hope this is helpful!
At Memorial Hospital, 9 of the 12 babies born on Tuesday were boys.
In simplest form, what fractions of the babies born on Tuesday were boys?
Answer:
3/4
Step-by-step explanation:
Answer:
I believe it is 3/4
Step-by-step explanation:
Simplest form right?
9/3=3
12/3=4
A manager of a grocery store wants to determine if consumers are spending
more than the national average of $150 with a standard deviation of $30. The
manager collects 10 random receipts and finds that the average customer
spends $160. He then concludes that his customers do spend more than the
national average. a) What do you see as his error in this assumption? b) How
could you redesign the study to correct it?*
Answer:
1. The error in the assumption is taking the sample mean, [tex]\bar x[/tex], as being equal to the population mean, μ
2. To correct the error, the manager will need to generate the confidence interval based on the population standard deviation on the acceptable values of the mean using the following relation;
[tex]CI=\bar{x}\pm z\frac{\sigma}{\sqrt{n}}[/tex]
Step-by-step explanation:
We note that from the central limit theorem as the size of the sample, n, becomes more and more larger, the mean of the sample, [tex]\bar x[/tex], approaches that of the population mean, μ, therefore as the grocery store manager uses the sample mean as the population mean's point estimate an error will be observed based on the size of the sample compared to the population, where the difference between the two means (the population mean and the sample mean) is [tex]\left | \bar{x} - \mu \right |[/tex]
1. The error in the assumption is taking the sample mean, [tex]\bar x[/tex], as being equal to the population mean, μ
2. To correct the error, the manager will need to generate the confidence interval based on the population standard deviation on the acceptable values of the mean using the following relation;
[tex]CI=\bar{x}\pm z\frac{\sigma}{\sqrt{n}}[/tex]
Where:
σ = Population standard deviation = $30
z = z value at 95% confidence level = 1.96
[tex]\bar x[/tex] = Sample mean $160
n = Sample size = 10
Plugging in the values, we have;
$141.4 < [tex]\bar x[/tex] < $178.6
Hence the expected value of the mean should be between $141.4 and $178.6.
Water makes about 3/4 of a person’s weight. If a student weighs 100 lbs., how much of his weigh is water?
Answer:
75 pounds
Step-by-step explanation:
To solve this problem, find 3/4 of 100.
To multiply fractions, multiply the numerators by each other and the denominators by each other.
3/4 * 100/1
Evaluating 3*100 and 4*1, the fraction becomes 300/4.
Now, divide 300 by 4 to get the final answer. 300/4 = 75. Therefore, 75 pounds of the students weight is water.
Answer:
75 lbs
Step-by-step explanation:
3/4 * 100
3 * 100/4
3 *25
75 lbs is water
In the circle below DAB and DCB are right angles and BDC=29. The figure is not drawn to scale. What is CAD?
A) 156
B)204
C)238
D)282
Step-by-step explanation:
In the circle below DAB and DCB are right angles and BDC=29. The figure is not drawn to scale. What is CAD?
A) 156 this is most likely correct
B)204 This one may be correct
C)238 X
D)282 X
hope
Based on the calculations, the measure of angle CAD is equal to: C. 238°.
What is a right angle?A right angle can be defined as a type of angle that is formed by the intersection of two (2) straight lines at 90 degrees. Thus, a right angle has a measure of 90 degrees.
How to calculate angle CAD?Angle DBC = 90 - Angle BDC
Angle DBC = 90 - 29
Angle DBC = 61°.
Angle DC = 2 × (Angle DBC)
Angle DC = 2 × 61
Angle DC = 122°.
Now, we can determine the measure of angle CAD:
Angle CAD = 360 - Angle DC
Angle CAD = 360 - 122
Angle CAD = 238°.
Read more on right angle here: https://brainly.com/question/10184402
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please help, 20 points
Answer:
25x
Step-by-step explanation:
Perimeter is all sides added up
Simplify the expression -1/2 (-5/6 + 1/3)
A. -5/12 + 1/3
B. 5/12 - 1/6
C. -5/12 + 1/6
D. 5/12 + 1/3
Answer:
5/12 - 1/6
Step-by-step explanation:
-1/2( -5/6+1/3)
Distribute
-1/2*-5/6 -1/2*1/3
5/12 - 1/6
Alina has been collecting video games for a year. The table below shows how many games she has received over
the year.
Amount of video games
4
Birthday
Holidays
School trades
8
6
At the end of the year, she went to a store and sold half of her video games.
Which numerical expression shows the amount of video games Alina has left after selling half?
Choose 1 answer:
(4+8) + (6 + 2)
2 : (4 +8+6)
© (4+8+6) : 2
The numerical expression shows the amount of video games Alina has left after selling half will be (4 + 8 + 6):2. Then the expression C is correct.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Alina has been collecting video games for a year. The table below shows how many games she has received over the year.
Amount of video games
Birthday 4
Holidays 8
School trades 6
Then the total number of the video games will be
⇒ 4 + 8 + 6
At the end of the year, she went to a store and sold half of her video games.
⇒ (4 + 8 + 6) / 2
⇒ (4 + 8 + 6) : 2
Then the expression C is correct.
More about the Algebra link is given below.
https://brainly.com/question/953809
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Find the inverse function in slope intercept
Answer:
y= -5/4+ 20
Step-by-step explanation:
1. switch x and y
2. multiply both sides by 5
3. divide both sides by -4
A sporting goods company sells a tent with the dimensions shown. The company wants to introduce a new, larger tent that is geometrically similar to the original tent but with a height of 6 feet. How will the volume of the new tent compare with the volume of the original tent?
Answer:
The volume of the new tent will be 3/2 times the volume of the original
Step-by-step explanation:
The original tent is a triangular prism, which missing dimensions of the tent are:
base (b): 6 ftheight (h): 4 ftlength (l): 7 ftVolume of the original tent:
V = 1/2*b*h*l
The only difference between the new and the original tent are their heights. Let's call h' = 6 ft to the height of the new tent.
Volume of the new tent:
V' = 1/2*b*h'*l
Dividing V' by V:
V'/V = (1/2*b*h'*l)/(1/2*b*h*l)
V'/V =h'/h
Replacing with data:
V'/V =6/4
V' = 3/2*V
PLEASE HELP ME ASAP PLEASE!!!Find the probability of this event. Enter each answer as a fraction in simplest form, as a decimal, and as a percent. You draw one card at random from a shuffled deck of 52 playing cards. the deck has 13 card suits (diamonds, hearts,clubs,spades)
The probability expressed as a fraction is
The probability expressed as a decimal is
The probability expressed as a percent is
Answer:
for diamond or spade: 1/2= 0.5 = 50%
Step-by-step explanation:
13/52 = 1/4 to diamond, heart, club or spade
1/4= 0.25
0.25*100% = 25%
If we need to choose diamond or spade,
1/4 for diamond, 1/4 for spade
diamond or spade: 1/4+ 1/4=1/2
1/2 = 0.5 = 50%
Answer:
2/4
0.50
50%
Step-by-step explanation:
If its a diamond or spade then it is it is basically written as 2/4 since there is 4 suits and your trying to pull 2 out of the four. 50% converts to 2/4 and you can turn 50% to decimal by putting a decimal point and a 0 to get 0.50
could someone show me how to multiply these
Answer:
A.2304
B.5625
C.6776
Step-by-step explanation:
The easiest way to show you is by using calculator. If you can't, try using Khan Academy if you want.
Examine the ratios to find the one that is not equivalent to the others.
StartFraction 2 Over 5 EndFraction = StartFraction 6 Over 10 EndFraction = StartFraction 8 Over 20 EndFraction = StartFraction 12 Over 30 EndFraction
Which ratio is different from the other three?
8 Over 20
12 Over 30
6 Over 10
14 Over 35
Answer:
8 over 20
Step-by-step explanation:
i guessed
Answer:
6 Over 10
Step-by-step explanation:
I did the math and got 100% on my Unit Test.
For the inverse variation equation p = StartFraction 8 Over V EndFraction, what is the value of V when p = 4?
One-eighth
One-half
2
32
Answer:
2
Step-by-step explanation:
The equation is p = 8/v.
If p = 4, then p = 4 = 8/v
Inverting both sides, we get
1/4 = v/8
Multiplying both sides by 8, we get:
2 = v
If the value of p is 4, then the value of V will be 2. Then the correct option is C.
What is the solution of the equation?The solution of the equation means the value of the unknown or variable.
The equation is given below.
p = 8/V
If the value of p is 4, then the value of V will be
4 = 8 / V
V = 8 / 4
V = 2
Then the correct option is C.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
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A coin has heads on one side and tails on the other the coin is tossed 12 times and lands heads up four times which best describes what happens when the number of trials increases significantly
Answer:
The number of occurrences for both possible events(heads or tails) will be closer to the expected outcome. By that I mean that of all the total outcomes heads will be about half of them and so will tails.
What is the product of the binomials below?
(5x + 2)(4x +4)
You can use the FOIL method (First, Outer, Inner Last) as how most people prefer it.
5x*4x=20x^2
5x*4=20x
2*4x=8x
2*4=8
Combine them all together and you get 20x^2 + 28x +8
I hope this helps.
Answer:
20x^2 + 28x + 8
Step-by-step explanation:
you use the box method shown in the picture to multiply then combine like terms
find the area of a triangle
Answer:
A = 15 yd^2
Step-by-step explanation:
The area of a triangle
A = 1/2 bh where b is the base length and h is the height
A =1/2 (10) * 3
A = 15 yd^2
Answer:
15 yd squared
Step-by-step explanation:
Multiply the base by the height and divide by 2. So 10x3 is 30 and 30 divided by 2 is 15.
Solve for h.
A=1/2b(h)
a. A.) 2a - b = h
b. B.) -1/2a - b = h
c. C.) a - b / 2 = h
d. D.) 2a / b = h
Answer:
b. B.) -1/2a - b = h
Step-by-step explanation:
combine 1/2b and h
Lena has 32 pens. 3/4 of the pens are blue. How many blue pens does Lena have?
Answer:
24 pens are blue
Step-by-step explanation:
32 pens in total and 3/4 of it are blue.
32 ÷ 4 = 8
8 × 3 = 24
24 of the 32 pens are blue pens
Answer:
Lena has 24 blue pens!
Step-by-step explanation:
In this type of problem, you simply have to multiply 3/4 by 32. And you will get the correct answer:
1). 3/4 * 32 = 24
Hope this Helps))) ^‿^
Order the steps to solve the equation
log(x2 - 15) = log(2x) form 1 to 5.
x² - 2x - 15=0
Potential solutions are -3 and 5
IIIII
x² - 15 = 2x
x - 5 = 0 or x + 3 = 0
(x - 5)(x + 3) = 0
Answer:
Attention for the conditions:
[tex]x^{2} -15>0\\2x>0\\so\\x>0[/tex]
Step-by-step explanation:
we have
[tex]log(x^{2}-15)= log(2x)\\\\x^{2} -15 = 2x\\\\x^{2} -5x+ 3x-15=0\\ (x^{2}-5x)+(3x-15)=0\\ x(x-5)+3(x-5)=0\\(x-5)(x+3)=0\\x-5=0, x=5 \\\\x+3=0, x= -3[/tex]
So the solutions are 5 because x>0
Which values of k are solutions to the inequality |-k-2|<18? Check all that apply
-40
Answer:
any number except -20
Step-by-step explanation:
[tex]|-k-2|<18[/tex]
[tex]-k-2<18[/tex] [tex]-k-2>18[/tex]
[tex]-k<18+2[/tex] [tex]-k>18+2[/tex]
[tex]-k<20[/tex] [tex]-k>20[/tex]
Multiply by -1 to make the k positive. This will alter all the terms which means 20 will become negative. NOTE: When multiplying or dividing by negative numbers, the inequaliy sign flips.
[tex]k>-20[/tex] [tex]k<-20[/tex]
k must be either greater than -20 but not including it or fewer than -20 but not including it; therefore, any number between negative infinity and -21 and -19 and postive infinity
write an equation to represent the following:
five less than 1/3 a number, n. is 3
Four more than twice a number, x, is greater than the sum of three and negative seven.
Answer:
Five less than 1/3 a number n is 3.
[tex]\frac{1}{3}n-5=3[/tex]
Four more than twice a number x (2x+4) is greater than (>) the sum of three and a negative seven (3-7)
2x+4>3+(-7)
2x+4>3-7
PLS HELP!!!!!! In a survey of 4530 U.S. adults, 87% said that they would like to donate more to charity. What is the margin of error for the survey? Round to the nearest tenth of a percent
Answer:
Margin of Error = 1.0% to the nearest tenth of a percent.
Step-by-step explanation:
Margin of Error is the width of the confidence interval about the mean.
It is given mathematically as,
Margin of Error = (Critical value) × (standard Error)
Critical value is obtained from the z-tables at the popular confidence level of 95% and z-tables is used because the sample size, 4530, is large enough to approximate the population properties.
Critical value = 1.960
Standard error = σₓ = √[p(1-p)/n]
p = 87% = 0.87
n = sample size = 4530
σₓ = √[0.87×0.13)/4530]
= 0.0049966876
Margin of Error = 1.96 × 0.0049966876 = 0.0097935078 = 0.00979 = 0.979% = 1.0% to the nearest tenth of a percent.
Hope this Helps!!!
To solve the problem using these steps, what are the dimensions of the rectangle she should draw?
On a coordinate plane, triangle R S T has points (negative 1, 1), (1, 3), and (2, negative 1).
2 units by 4 units
3 units by 4 units
3 units by 5 units
4 units by 5 units
Answer:
B
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
edge
find the area of a trapezoid
Answer:
40 sqrt 3
Step-by-step explanation:
To find the other side of the triangle:
The triangle is a 30 60 90 right triangle
So...
The other side of the triangle is 4
Area of the trapezoid:
Area of the rectangle+ Area of the triangle:
6* 4root 3+ 4 root3* 4
Answer: 40 sqrt 3
Answer:
44.3
Step-by-step explanation:
1. try to find A
10-(4 radical 3 squared plus b squared equal 64)=A
The equation in parentheses is the pythagorean theorem to find "b" of the triangle
A is 2 radical 13
The base is 10
The height is 4 radical 3
Use the formula and you get the answer.
Definition: An equation with a degree of 2.
Answer:
here's an equation that has a degree of 2
[tex]4x^2-37x+19[/tex]
or
(x+3)(x-1)
=(x^2+2x-3)
Which category of two-dimensional shapes apply to all three of these shapes?
quadrilateral
square
rhombus
parallelogram
Answer:
quadrilateral
Step-by-step explanation:
bc they all have 4 sides...... some one correct me if I am wrong ......bit not in a rude way