Answer:
-20
Step-by-step explanation:
Unfortunately, there is no shortcut to solve these... you have to do the work, iteration by iteration.
A recursive function is a function that calls itself and takes as input the output of the previous call.
a = -2 a + 4
a1: 1
a2: -2 (1) + 4 = -2 + 4 = 2
a3: -2 (2) + 4 = -4 + 4 = 0
a4: -2 (0) + 4 = -0 + 4 = 4
a5: -2 (4) + 4 = -8 + 4 = -4
a6: -2 (-4) + 4 = 8 + 4 = 12
a7: -2 (12) + 4 = -24 + 4 = -20
so a7 = -20
Please help I’m very confused I will mark brainliest
Answer:
$3.52 or $3.53
Step-by-step explanation:
We know that he is paying $2.35 per pound, and that he is buying 1.5 pounds worth of pears. Simply multiply 2.35 times 1.5 to get your answer, depending on how far you round, which is 3.52 or 3.53.
1 pound = $2.35
Leo bought 1 pound and 0.5 of a pound (half of a pound). To find how much 0.5 of a pound costs divide 2.35 (the cost of one full pound) by two
2.35 ÷ 2 = 1.18
so...
1 + 0.5 = 1.5
and
2.35 + 1.18 = 3.53
Leo spent $3.53 on 1.5 pounds of pears
Hope this helped!
~Just a girl in love with Shawn Mendes
The Cinemania theater showed 108108108 different movies last year. Of those, 151515 movies were action movies.
Based on this data, what is a reasonable estimate of the probability that the next movie is an action movie?
Answer:
5/36 (I won't repeat it 3 times :-) )
Step-by-step explanation:
We just have to calculate the ratio of times an action movie played in the las year, that should be a good indication of the chances for an action movie to be played next, since the reference data is quite large. We're talking about a full year, no just a week or a month.
So, 15 action movies out of 108 movies...
The probability that next movie is an action movie is: 15 / 108 , or 5/36
That's roughly 1/7.
Answer:
15/108
Step-by-step explanation:
I did it and got it right.
Hope this helps:)
What are the solutions to the equation 4b^2-45=-9
Answer:
b = ±3
Step-by-step explanation:
4b^2-45=-9
Add 45 to each side
4b^2-45+45=-9+45
4b^2 = 36
Divide by 4
4b^2 = 36/4
b^2 =9
Take the square root of each side
sqrt(b^2) = sqrt(9)
b = ±3
Evaluate 13 - 0.75w + 8x when w = 12 and x = 1/2
Answer:
8
Step-by-step explanation:
13 - 0.75 (12) + 8 (0.5)
13 - 0.75 (12) + 4
13 - 9 + 4
4 + 4
8
Answer:
8
Step-by-step explanation:
Let D = {xlx is a state in the United States} be the domain, and let f(x) - "the state capital" be the possible function. Determine if the relation is an example of a function.
Yes, f is a function.
ANSWER
Yes, f is a function.
EXPLANATION
The domain of the relation is D = {xlx is a state in the United States}
The rule is that f(x) ="the state capital"
The relation will be a function if and only if no two elements in the first set have the same image in the second set.
Since no two states will have the same capital, the relation is a function.
Find the missing factor.
5y2 + 4y - 1 = (5y - 1)(
)
Answer:
(y + 1)
Step-by-step explanation:
Given
5y² + 4y - 1
To factorise the quadratic
Consider the factors of the product of the coefficient of the y² term and the constant term which sum to give the coefficient of the y- term
product = 5 × - 1 = - 5 and sum = + 4
The factors are + 5 and - 1
Use the factors to split the y- term
5y² + 5y - y - 1 ( factor the first/second and third/fourth terms )
= 5y(y + 1) - 1(y + 1) ← factor out (y + 1) from each term
= (y + 1)(5y - 1)
State if the triangles in each pair are similar.
If so, state how you know they are similar and complete the similarity statement.
A) similar; SAS similarity; ΔBAC
B) not similar
C) similar; SSS similarity; ΔABC
D) similar; SAS similarity; ΔABC
Answer:
Option C) similar; SSS similarity; ΔABC
Step-by-step explanation:
we know that
The SSS similarity state : If the corresponding sides of two triangles are proportional, then the two triangles are similar
In this problem
80/30=56/21=72/27
2.67=2.67=2.67 -----> is true
therefore
The triangles STU and ABC are similar by SSS similarity
Answer: The correct option is
(C) similar; SSS similarity; ΔABC.
Step-by-step explanation: We are given to check whether the pair of triangles in the figure are similar to each other or not.
If so, we are to complete the similarity statement.
From the figure, we note that
the lengths of the sides of triangle STU are
ST = 72, TU = 80 and SU = 56.
And, the lengths of the sides of triangle ABC are
AB = 27, BC = 30 and AC = 21.
So, we get
[tex]\dfrac{ST}{AB}=\dfrac{72}{27}=\dfrac{8}{3},\\\\\\\dfrac{TU}{BC}=\dfrac{80}{30}=\dfrac{8}{3},\\\\\\\dfrac{SU}{AC}=\dfrac{56}{21}=\dfrac{8}{3}.[/tex]
That is,
[tex]\dfrac{ST}{AB}=\dfrac{TU}{BC}=\dfrac{SU}{AC}=\dfrac{8}{3}.[/tex]
Therefore, the corresponding sides of the two triangles are proportional.
Hence, triangle ABC and STU are similar by SSS similarity.
Option (C) is CORRECT.
if 3x+1 has a value of 17 for some value of x then the expression 6x+1 will have which of the following?
1)22
2)33
3)35
4)42
Answer:
2) 33
Explanation:
First, identify x.
3x+1=17
3x=16
X=16/3
Then substitute x in the expression.
6x+1=?
6(16/3)+1=?
32+1=?
33=?
So, the answer is #2.
When the equation 3x + 1 equals 17, the value of x is 16/3. Substituting this value of x into the expression 6x + 1 results in an answer of 33.
Explanation:The subject of the question is Mathematics and it appears to be at a High School level. Given the equation 3x + 1 = 17, we can first solve for x by subtracting 1 from both sides resulting in 3x = 16 and then dividing both sides by 3 which gives x = 16/3. Then we can substitute this value of x in the expression 6x + 1 giving us 6*(16/3) + 1 which simplifies to 32 + 1 = 33. So, the value of the expression 6x + 1 is 33 when the value of the expression 3x + 1 is 17.
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Does the point (-10,3) lie on the circle that passes through the point (-2,9) with center (-3,2)? Explain
Answer:
yes
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (- 3, 2), so
(x + 3)² + (y - 2)² = r²
r is the distance from the centre to a point on the circle
Calculate r using the distance formula
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (- 2, 9)
r = [tex]\sqrt{(-2+3)^2+(9-2)^2}[/tex] = [tex]\sqrt{1^2+7^2}[/tex] = [tex]\sqrt{50}[/tex], hence
(x + 3)² + (y - 2)² = 50 ← equation of circle
Substitute (- 10, 3) into the left side of the equation and if equal to the right side then the point lies on the circle
(- 10, 3) : (- 10 + 3)² + (3 - 2)² = (- 7)² + 1² = 49 + 1 = 50
Hence (- 10, 3) lies on the circle
Which pair of functions is not a pair of inverse functions?
A. f(x)= x+1/6 and g(x)= 6x-1
B. f(x)= x-4/19 and g(x)= 19x+4
C. f(x)= x5 and g(x)= 5√x
D. f(x)= x/x + 20 and g(x)= 20x/x-1
ANSWER
A,B, and C
EXPLANATION
If
[tex]f(g(x))=g(f(x))=x[/tex]
then f and g are inverse functions.
A.
[tex]f(x) = \frac{x + 1}{6} [/tex]
[tex]g(x) = 6x - 1[/tex]
[tex]f(g(x)) = \frac{6x - 1 + 1}{6} = \frac{6x}{6} = x[/tex]
B.
[tex]f(x) = \frac{x - 4}{19} [/tex]
[tex]g(x) = 19x + 4[/tex]
[tex]f(g(x)) = \frac{19x + 4 - 4}{19} = \frac{19x}{19} = x[/tex]
C.
[tex]f(x) = {x}^{5} [/tex]
[tex]g(x) = \sqrt[5]{x} [/tex]
[tex]f(g(x)) = (\sqrt[5]{x})^{5} = x[/tex]
D.
[tex]f(x) = \frac{x}{x + 20 } [/tex]
[tex]g(x) = \frac{20x}{x - 1} [/tex]
[tex]f(g(x)) = \frac{ \frac{20x}{x - 1} }{ \frac{20x}{x - 1} + 20} = \frac{20x}{40x - 20} = \frac{x}{2x - 1} [/tex]
The correct answers are A, B , C
In a child's bank are 11 coins that have a value of S1.85. The coins are either
quarters or dimes. How many coins each does child have?
a. Define your variables:
b. Write the equations:
d. Check:
c. Solve:
Answer:
The child has 6 dimes and 5 quarters.
Step-by-step explanation:
Let q and d represent the number of quarters and of dimes respectively.
Then q + d = 11 (Equation A), and ($0.25/quarter)q + ($0.10/dime)d = $1.85 (Equation B).
Multiply the 2nd equation by 100 to remove the decimal fractions:
25q + 10d = 185 (Equation C)
Now multiply the 1st equation by -10 to obtain -10q - 10d = -110 (Equation D), and combine this result with Equation C:
-10q - 10d = -110
25q + 10d = 185
--------------------------
15q = 75, and so q = 75/15 = 5.
According to Equation A, q + d = 11. Replacing q with 5, we get:
5 + d = 11, and so d = 6.
The child has 6 dimes and 5 quarters.
The graph below represents the average monthly rainfall (y), in inches, in
Miami, FL during 2012 plotted against the time (x), in months. Which of the
following descriptions is representative of the data presented in the graph?
Answer:
The amount of rainfall increases as an exponential function of time.
Step-by-step explanation:
Answer:
C ;
Here is the picture if the letter changes! Sorry, it was hard to screenshot proof!
☆
EDGE2023; Good Luck :3!!
4m = ? dm please help me
Answer:
40
Step-by-step explanation:
Just look up the conversion factor and set up the proportion.
1 dm = 1/10 th of a meter
x dm = 4 meters. Cross multiply.
1 dm * 4m = x * 1/10 of a meter. Change 1/10 to a decimal.
1 dm * 4 m = x * 0.1 m Divide by 0.1
1 dm * 4 m /0.1 m = x
x = 40 dm
What is the solution to the linear equation? 2/3x – 1/2 = 1/3 + 5/6 x
Answer:
Simplify 23x
.
Tap for more steps...
2x3−12=13+56x
Simplify 56x
Step-by-step explanation:
For this case we must solve the following equation:
[tex]\frac {2} {3} x- \frac {1} {2} = \frac {1} {3} + \frac {5} {6} x[/tex]
Subtract [tex]\frac {5} {6} x[/tex] on both sides of the equation:
[tex]\frac {2} {3} x- \frac {5} {6} x- \frac {1} {2} = \frac {1} {3}[/tex]
We add [tex]\frac {1} {2}[/tex] to both sides of the equation:
[tex]\frac {2} {3} x- \frac {5} {6} x = \frac {1} {3} + \frac {1} {2}\\\frac {12-15} {18} x = \frac {2 + 3} {6}\\\frac {-3} {18} x = \frac {5} {6}\\- \frac {1} {6} x = \frac {5} {6}\\[/tex]
We multiply by 6 on both sides of the equation:
[tex]-x = 5[/tex]
We multiply by -1 on both sides of the equation:
[tex]x = -5[/tex]
Answer:
[tex]x = -5[/tex]
A cylinder has a volume of 140pi
cubic meters and a height of 14 meters. What is the area of the base?
Answer:
The area of the base is [tex]10\pi m^2[/tex]
Step-by-step explanation:
The volume of a cylinder is calculated using the formula:
[tex]Volume=\pi r^2h[/tex]
The volume is given to be:
[tex]V=140\pi m^3[/tex]
The height of the cylinder is h=14 meters.
We substitute these values into the formula to obtain;
[tex]140\pi=\pi r^2\times 14[/tex]
Divide both sides by 14.
[tex]\frac{140\pi}{14}=\pi r^2[/tex]
[tex]10\pi=\pi r^2[/tex]
The area of the base is a circle which is [tex]\pi r^2=10\pi m^2[/tex]
Nia recorded her science and math scores.The measures of center and variation for each score are shown in the table below.
1, 3, 5
You can tell by looking that her science mean is greater than her math mean.
The higher range number means that her scores in math are more varied and spread out than her science scores.
You can tell by looking that the median scores are the same.
Answer:
A, C, E
Step-by-step explanation:
Marcus Sells homemade pies for $10.50 a pie. it cost $1.25 for the ingredients to bake Each pie . Marcus bought a new oven for $800 how many pies must Marcus sell in order give me a profit
$10.50 a $1.25 is $9.75 then you do $800 / $9.75 which is 82.05 so we round up with any decimal and he would need to sell 83 pies to start making a profit.
Please help anyone please
To solve the problem, we need to find the area of the triangle, and then find 2/3 of that triangle.
The equation to find the area of a triangle is bh1/2 or base*height*1/2.
Now substitute the known values.
24*16*1/2
Solve
24*8
192.
Now, the easiest way to find 2/3 of a number is to divide that number by 3 and multiply the answer by 2.
192/3=64
64*2=128
Omar kept 128 square centimeters of the flag.
Hope this helps!
[tex] \frac{16 \times 24}{2} = \frac{384}{2} = 192[/tex]
192 is the total area of the triangle; since he kept 2/3 of the flag divide the area by three and times it by two:
[tex]192 \div 3 = 64 \times 2 = 128[/tex]
answer is 128cm^2
addison walked 6 miles in 4 hours what was her walking rate in hours per mile
Answer: 0.66 hours per mile
Step-by-step explanation:
You know that in 4 hours Addison walked 6 miles.
Now, you need to calculate the amount of hours she walked in 1 mile.
Let be "x" the amount of hours she walked in 1 mile.
Then, to calculate the value of "x" you need to multiply 1 mile by 4 hours and divide by 6 miles:
[tex]x=\frac{(1mile)(4hours)}{6miles}\\\\x=\frac{2}{3}\ hours[/tex]
[tex]x[/tex]≈[tex]0.66\ hours[/tex]
Therefore, her walking rate in hours per mile was:
0.66 hours per mile
What is the sample space for the event of flipping a coin and then spinning a four-part spinner, numbered 1, 2, 3, 4?
1. H-1 H-2 H-3 H-4
2. H-1 H-2 H-3 H-4, T-1 T-2 T-3 T-4
3. H-1 T-2 H-3 T-4
.4 1-H 2-H 3-H, 1-T 2-T 3-T
Answer:it is 2 since it include3s all possible answers for both heads & tails.
Step-by-step explanation:
you can get a H1-4 & a T1-4 since you have 4 parts one the spinner & 2 things on a coin (Heads & tails) you can just times 4*2 & know that you have 8 possible answers.
Answer:
H-1 H-2 H-3 H-4, T-1 T-2 T-3 T-4
Louise measured the perimeter of her rectangular scrapbook to be 152 cm. If the scrapbook is 42 cm wide, how long is the scrapbook?
A.
76 cm
B.
34 cm
C.
32 cm
D.
68 cm
Answer:
B. 34
Step-by-step explanation:
Perimeter= 42+42+x+x
First add the 42 together
42+42 = 84
Then subtract the number away because this was added to the total
152 - 84 = 68
68 is not your missing number
Dividing 68 by 2 which gives you 34
So,
Perimeter = 42+42+34+34 = 152
If John Needed 1000 Muffins a week for him party and Each person Ate 100 Muffins out of it how many would be left?
Answer:
None will be left.
Step-by-step explanation:
John needed 1000 Muffins a week for his party
Each person ate 100 Muffins
So there were [tex]\frac{1000}{100}[/tex] = 10 people in the party and they ate all the Muffins.
No Muffins were left over.
Find the equation of the line specified.
The slope is 6, and it passes through ( -4, 4).
a.
y = 6x + 4
c.
y = 12x + 28
b.
y = 6x - 20
d.
y = 6x + 28
Answer:
y = 6x + 28
Step-by-step explanation:
We are to determine the equation of a line whose slope or gradient is 6 and passes through the point (-4, 4)
The slope-intercept form of the equation of the straight line would be given by;
y = mx + c
y = 6x + c
We proceed to use the given point to determine c;'
when x = -4, y = 4
4 = 6(-4) + c
4 = -24 + c
c = 28
The slope-intercept form of the equation of the straight line is thus;
y = 6x + 28
For this case we have that by definicon, the equation of a line of the slope-intersection form is given by:
[tex]y = mx + b[/tex]
Where:
m: It's the slope
b: It is the cut point with the y axis.
They tell us that the slope is 6, then:
[tex]y = 6x + b[/tex]
We substitute the given point, to find the cut point:
[tex]4 = 6 (-4) + b\\4 = -24 + b\\b = 4 + 24\\b = 28[/tex]
Finally:
[tex]y = 6x + 28[/tex]
Answer:
Option D
please help!!! ill mark you as brain!
given,
height of triangle(h)=3.5 in.
base of triangle (b)=4 in.
length of side of triangle(s)= 4 in.
length of prism(l)=9 in.
we have,
surface area of traingular prism( A)=bh+2ls+lb
=4×3.5+2×9×4+9×4
=14+72+36
=122 square inches
Answer:
They're right
Step-by-step explanation:
Miguel has a ladder with legs of equal length. He opened the ladder and placed it on the floor. What type of triangle is formed by the ladder and the floor?
Answer:
(B) isosceles
Step-by-step explanation:
An isosceles triangle is one that has two sides of equal length.
___
If the distance between the legs were the same as the leg length, then the triangle would be equilateral. There is nothing in the problem statement suggesting this is the case.
What are the solutions of the following?
2x2 + 26x + 80
Your answer:
{5,8}
{-5,-8}
{4,10}
{-4, -10}
Answer:
(-5, -8)
Step-by-step explanation:
The expression can be divided by 2 to give ...
x² +13x +40
The solutions to this will have a product of 40 and a sum of -13, the opposite of the x-coefficient. All of the offered choices have a product of 40, but only (-5, -8) has a sum of -13.
is mean affected by outlier
Answer:
it measures spread around the mean. Because of its close links with the mean, standard deviation can be greatly affected if the mean gives a poor measure of central tendency. Standard deviation is also influenced by outliers one value could contribute largely to the results of the standard deviation.
Step-by-step explanation:
Answer with explanation:
Mean of a data set is defined as sum of all the observation divided by total number of observation.
For, example
Consider the Data set,the cost of five pens,={3,5,8,10,14}
Mean
[tex]=\frac{3+5+8+10+14}{5}\\\\=\frac{40}{5}\\\\=8[/tex]
Now, Two pens having cost $ 47 and $ 53 is included in the Data set
New data set of Seven pens,={3,5,8,10,14,47,53}
Mean
[tex]=\frac{3+5+8+10+14+47+53}{7}\\\\=\frac{140}{7}\\\\=20[/tex]
So, you can see there is variation or Difference between two means.
We can conclude from above two results ,that mean is affected by outlier.
The ratio of dogs to cats at the pet stores 1:3. If there are 6 more cats than Dogs, how many dogs are the pet store?
Answer:
3
Step-by-step explanation:
The number of dogs are 3 if the ratio of dogs to cats at the pet store's 1:3. If there are 6 more cats than Dogs.
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
The ratio of dogs to cats at the pet stores is:
1:3
Let's suppose there are x dogs, then cats are 3x
3x = x + 6
2x = 6
x = 3
Thus, the number of dogs are 3 if the ratio of dogs to cats at the pet store's 1:3. If there are 6 more cats than Dogs.
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A number cube is rolled 360 times, and the results are recorded as follows: 41 ones, 54 twos, 62 threes, 75 fours, 33 fives, and 95 sixes. What is the experimental probability of rolling a 2 or a 3?
A : 0.32
B: 0.18
C: 0.07
D: 0.68
They had 54 twos and 62 threes.
54 + 62 = 116 outcomes of either 2 or 3
The probability is the number of outcomes divided by the total number of rolls.
116 / 360 = 0.32
The answer is A.
Answer:
0.32.
Step-by-step explanation:
Prob(Rolling a 2) = number of 2's rolled / total number of rolls
= 54/360 = 0.15
Similarly Prob(rolling a 3) = 62/360 = 0.17.
So the probability of a 2 or a 3 = 0.15 + 0.17 = 0.32.
This year, when Latifa and Jameel add their ages, the sum is 29. Latifa’s age is 10 less than twice Jameel’s age. The system of equations that represents this situation is { L+J=29 { L=2J-10. (L is Latifa’s age and J is Jameel’s age). How old is Latifa?
Answer:
Jameel is 13 and Laitfa is 13 x 2 - 10 = 16
16 + 13 = 29
Step-by-step explanation:
The equation has already been given to us, so we just have to solve it.
According to the question,
L + J = 29
L = 2J - 10
L
2J - 10 + J = 29
add 10 both sides
2J + J = 29 + 10 = 39
3J = 39
J = 39/3 = 13
Done!