Answer:
[tex]a_1 = 2[/tex]
[tex]a_2 = 3[/tex]
[tex]a_3 = 5[/tex]
[tex]a_4 = 8[/tex]
[tex]a_5 = 13[/tex]
Step-by-step explanation:
Given
[tex]a_n = a_{n-1} + a_{n-2}[/tex]
[tex]a_1 = 2[/tex]
[tex]a_2 = 3[/tex]
Solving (a): The first term
This has already been given as:
[tex]a_1 = 2[/tex]
Solving (b): The second term
This has already been given as:
[tex]a_2 = 3[/tex]
Solving (c): The third term
This is calculated as:
[tex]a_n = a_{n-1} + a_{n-2}[/tex]
[tex]a_3 = a_{3-1} +a_{3-2}[/tex]
[tex]a_3 = a_2 +a_1[/tex]
[tex]a_3 = 3 +2[/tex]
[tex]a_3 = 5[/tex]
Solving (d): The fourth term
This is calculated as:
[tex]a_n = a_{n-1} + a_{n-2}[/tex]
[tex]a_4 = a_{4-1} +a_{4-2}[/tex]
[tex]a_4 = a_3 +a_2[/tex]
[tex]a_4 = 5+3[/tex]
[tex]a_4 = 8[/tex]
Solving (e): The fifth term
This is calculated as:
[tex]a_n = a_{n-1} + a_{n-2}[/tex]
[tex]a_5 = a_{5-1} +a_{5-2}[/tex]
[tex]a_5 = a_4 +a_3[/tex]
[tex]a_5 = 8+5[/tex]
[tex]a_5 = 13[/tex]
Somebody Please Help!!!
Step-by-step explanation:
11. shape 1 => A = ½×17×10=85m²
shape 2=> A = 17×9 =153 m²
total area = 238 m²
12. shape 1 => A = 7×3= 21 m²
shape 2=> A = 3×2 = 6 m²
total area = 27 m²
The ratio of boys to girls in Mr. Johnsons after school club is the same as the ratio is the same to the ratio of boys to girls in Mr. Greene's after school club. There are 4 boys and 12 girls in Mr. Johnsons club. There are 6 boys in Mr. Greene's club. How many girls are in Ms. Greene's club?
Answer:
18 GIRLS
Step-by-step explanation:
1. Lets write a fraction (4 boys/12 girls)
[tex]\frac{4 \\boys}{12 \\ \\girls}[/tex]
2. Now lets plug the value in
[tex]\frac{6 \\boys}{x girls}[/tex]
3. In the original equation, the amount of girls is 3 times the amount of boys
4. multiply 6 and 3 = 18
5. 18 girls
Answer:
18 <3
Step-by-step explanation:
Which of the following describes the end behavior of the function ƒ(x) = –5x3 + 3x2 + x – 9?
A)
As x → –∞, y → +∞ and as x → +∞, y → –∞
B)
As x → –∞, y → –∞ and as x → +∞, y → +∞
C)
As x → –∞, y → –∞ and as x → +∞, y → –∞
D)
As x → –∞, y → +∞ and as x → +∞, y → +∞
Answer:
A
Step-by-step explanation:
f(x)=-5x³+3x²+x-9
leading coefficient is negative and it is of odd degree.
so it starts from above onthe left and ends at the bottom ont he right.
Solve the following equation algebraically show the steps:
n/3 -5 = 5
[tex]\longrightarrow{\green{ \: n = 30 }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \frac{n}{3} - 5 = 5[/tex]
➼ [tex] \: \frac{n}{3} = 5 + 5[/tex]
➼ [tex] \: \frac{n}{3} = 10[/tex]
➼ [tex] \: n = 10 \times 3[/tex]
➼ [tex] \: n = 30[/tex]
Therefore, the value of n is 30.
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
[tex] \frac{30}{3} - 5 = 5[/tex]
✒ [tex] \: 10 - 5 = 5[/tex]
✒ [tex] \: 5 = 5[/tex]
✒ [tex] \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
When setting the temperature of a refrigerator, is -1 or -5 the coldest!
Answer:
-5 is the answer
Step-by-step explanation:
Answer:
-5 corresponds to the coldest temperature here.
Step-by-step explanation:
-5 is to the left of -1 on a number line and is therefore smaller than -1.
hich is the graph of the linear equation x – 2y = 6?
On a coordinate plane, a line goes through points (negative 6, 0) and (0, 3).
On a coordinate plane, a line goes through points (0, negative 3) and (6, 0).
On a coordinate plane, a line goes through points (negative 6, 0) and (0, negative 3).
On a coordinate plane, a line goes through points (0, 3) and (6, 0).
Answer:
B or graph 2
Step-by-step explanation:
when y = 0 then x = 6
when x = 0 then y = -3
find those points
Answer: b
question
hich is the graph of the linear equation x – 2y = 6?
On a coordinate plane, a line goes through points (negative 6, 0) and (0, 3).
On a coordinate plane, a line goes through points (0, negative 3) and (6, 0).
On a coordinate plane, a line goes through points (negative 6, 0) and (0, negative 3).
On a coordinate plane, a line goes through points (0, 3) and (6, 0).
Given the equation 5 + x - 12 = x- 7.
Part A. Solve the equation 5 + x - 12 = x - 7. In your final answer, be sure to state the solution and include all of your work.
Part B. Use the values x -4, 0, 5 to prove your solution to the equation 5 + x - 12 F x - 7. In your final answer, include all
of your calculations.
Answer:
Step-by-step explanation:
5 + x - 12 = x- 7 (Add the 5 and -12 to simplify)
x - 7 = x - 7 (notice its the same on both sides of equal sign. Add 7 to both sides)
x = x
solution is all real numbers
Part B
5 - 4 - 12 = -4 - 7
-11 = -11
5 + 0 - 12 = 0 - 7
-7 = -7
5 + 5 - 12 = 5 - 7
-2 = -2
Triangle T U V is shown. Side T U has a length of 5 units, side U V has a length of 8 units, and side T V has a length of 11 units.
Which statement is true regarding triangle TUV?
Angle T is the smallest angle.
Angle V is the smallest angle.
Angles U and V must be equal.
Angles U and T must be equal.
.
9514 1404 393
Answer:
(b) Angle V is the smallest angle
Step-by-step explanation:
The smallest angle is opposite the shortest side. Its vertex name will be the that of the vertex not involved in naming the shortest side.
The shortest side name is TU. The smallest angle is not T or U; it is V.
Angle V is the smallest angle
Answer:
(b) Angle V is the smallest angle
Step-by-step explanation:
Adam bought three kinds of
bagels at the bagel store. He
bought twice as many onion bagels as plain
bagels. He bought four more sesame
bagels than he did plain bagels. Adam ate
one of the sixteen onion bagels he bought
as soon as he got home. How many bagels
does Adam have left?
9514 1404 393
Answer:
35
Step-by-step explanation:
The 16 onion bagels are twice as many as plain bagels, so there were 8 plain bagels.
There were 4 more sesame bagels than plain bagels, so there were 12 sesame bagels.
Adam has 8 plain, 12 sesame, and 15 onion bagels left, for a total of 35 bagels left.
Given that events A and B are independent with P(A) = 0.55 and P(B) = 0.72,
determine the value of P(AB), rounding to the nearest thousandth, if necessary.
Answer:
Step-by-step explanation:
For independent events,
P(AB)=P(A)orP(B)
= P(A)uP(B)
=P(A)×P(B)
= 0.55×0.72
P(AB)=0.396
PLS HELP ASAP ILL MARK BRAINLIEST Find the geometric probability of landing in the shaded area of the picture. The small circle has a diameter of 6 meters and the larger circle has a diameter of 54 meters. Show and explain all work.
Answer:
1/80
Step-by-step explanation:
(the area of the small circle)/(the area of the larger circle)
= (π× 3²)/(π× 27²)
(=> eliminate π)
= 3²/27² = (1/9)² = 1/81
since the shaded area is inside the larger circle,
the geometric probability =
1/(81-1) = 1/80
Two buses leave towns 520 kilometers apart at the same time and travel toward each other. One bus travels 16 km/h slower than the other. If they meet in 2 hours, what is the rate of each bus?
Answer:
122 km/h
138 km/h
Step-by-step explanation:
distance = speed * time
One bus travels 16 km/h slower than the other
(s * 2) + (s - 16)2 = 520
2s + 2s - 32 = 520
4s = 552
s = 552/4
s = 138 km/h
s - 16 = 122 km/h
Three fifths of the adults at a party are male.
There are 40 adults at the party.
How many of the adults are male?
wHAT IS THE REFERENCE ANGLE -935°
8 minus the difference of p and 4 un algebraic expression
Answer:
8 - (p - 4)
Step-by-step explanation:
8 - (p - 4)
Suppose that the speeds of cars travelling on California freeways are normally distributed with a mean of miles/hour. The highway patrol's policy is to issue tickets for cars with speeds exceeding miles/hour. The records show that exactly of the speeds exceed this limit. Find the standard deviation of the speeds of cars travelling on California freeways. Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place.
Answer:
the standard deviation of the speeds of cars travelling on California freeways is 6.0 miles per hour
Step-by-step explanation:
The computation of the standard deviation of the speeds of cars is shown below;
The z score for the top 1% is 2.326
So,
= (75 - 61) ÷ standard deviation = 2.326
Standard deviation is
= 14 ÷ 2.326
= 6.0 miles per hour
Hence, the standard deviation of the speeds of cars travelling on California freeways is 6.0 miles per hour
You have 2 spreads, 3 meats, and 4 kinds of bread. How many different sandwiches can you make using one of each ingredient?
Answer:
24
Step-by-step explanation:
HELP ME PLZ WILL MARK U AS BRAINLIEST
Answer:
Step-by-step explanation:
a)
The mean for ground floor is 20.67
The mean for balcony is 15.8
b)
the difference between the means is ground floor - balcony
20.67 - 15.8 = 4.87
You can talk about it yourself for part c
pls i need this one n i pass the class pls pls help me
9514 1404 393
Answer:
x = 5
Step-by-step explanation:
The two triangles are similar by the ASA theorem. The ratio of long side to short side in each right triangle is the same:
x/3 = 7.5/4.5
x = 3(7.5/4.5) . . . . multiply by 3
x = 5
does anyone know the quotient of x and y
Answer:
[tex]\frac{x}{y}[/tex]
Step-by-step explanation:
There you go.
Answer: The quotient of x is invisible number it can be any number depending of the equation
A shipping carton is in the shape of a triangular prism. The base area of the triangle is 6 inches squared and the the height of the prism is 15 inches. how many cubic inches of space are in the carton?
51
Step-by-step explanation:
uajdnensjdkalsnnamakksls
The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between and minutes. Find the probability that a randomly selected passenger has a waiting time minutes.
Answer:
Incomplete question, but I gave you a guide on the uniform distribution, and thus you just have to replace the values in these equations to find the desired probabilities.
Step-by-step explanation:
Uniform probability distribution:
An uniform distribution has two bounds, a and b.
The probability of finding a value of at lower than x is:
[tex]P(X < x) = \frac{a - x}{b - a}[/tex]
The probability of finding a value between c and d is:
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
The probability of finding a value above x is:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
Between a and b minutes.
Here you get a and b for the uniform distribution.
Find the probability that a randomly selected passenger has a waiting time minutes.
Here you will have the value of x.
PLS HELP!! I NEED TO FIND THE SURFACE AREA OF THIS CYLINDER!!!!!
Answer:
Step-by-step explanation:
you have two disks, and one rectangle
area of the disk = π [tex]r^{2}[/tex]
47 π x 2 = 94 π (for the two disks....
rectangle area = L x W
width = 14
Length = 2*π*r = 14π
area = 14*14π = 196 π
total = 196 π + 94 π = 290 π
Answer:
The surface area of this cylinder is about 923.63 [tex]inches^{2}[/tex].
Step-by-step explanation:
The formula for the surface area of a cylinder is this :
[tex]A = 2\pi rh+2\pi r^{2}[/tex]
"R" is 7, and "h" is 14. Knowing these values, let's solve.
[tex]A = 2\pi rh+2\pi r^{2}[/tex] = 2 · π · 7 · 14 + 2 · π ·72 ≈ 923.62824
The surface area of this cylinder is about 923.63 [tex]inches^{2}[/tex].
Hope this helps, please mark brainliest! :)
The college Physical Education Department offered an Advanced First Aid course last summer. The scores on the comprehensive final exam were normally distributed, and the z scores for some of the students are shown below.
Robert, 1.11 Juan, 1.66 Susan, –1.9 Joel, 0.00 Jan, –0.65 Linda, 1.46
(a) Which of these students scored above the mean?
a. Jan
b. Joel
c. Juan
d. Linda
e. Robert
f. Susan
(b) Which of these students scored on the mean?
a. Jan
b. Joel
c. Juan
d. Linda
e. Robert
f. Susan
(c) Which of these students scored below the mean?
a. Jan
b. Joel
c. Juan
d. Linda
e. Robert
f. Susan
(d) If the mean score was ? = 156 with standard deviation ? = 24, what was the final exam score for each student? (Round your answers to the nearest whole number.)
a. Janb. Joelc. Juand. Lindae. Robertf. Susan
Answer:
a)
b. Joel
c. Juan
d. Linda
b)
b. Joel
c)
a. Jan
f.Susan
d)
a. Jan: 140
b. Joel: 156
c. Juan: 196
d. Linda: 191
e. Robert: 183
f. Susan: 110
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean, positive z-scores are above the mean, negative are below the mean and 0 is the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Question a:
Robert, Juan and Linda had positive z-scores, so they scored above the mean, and the correct options are c,d,e.
(b) Which of these students scored on the mean?
Joel, which had a z-score of 0, so the correct option is b.
(c) Which of these students scored below the mean?
Jan and Susan had negative z-scores, so them, options a and f.
Question d:
We have that [tex]\mu = 156, \sigma = 24[/tex], so we have to find X for each student.
Jan:
Z = -0.65. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.65 = \frac{X - 156}{24}[/tex]
[tex]X - 156 = -0.65*24[/tex]
[tex]X = 140[/tex]
b. Joel
Z = 0, so:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0 = \frac{X - 156}{24}[/tex]
[tex]X - 156 = 0*24[/tex]
[tex]X = 156[/tex]
c. Juan
Z = 1.66, so:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.66 = \frac{X - 156}{24}[/tex]
[tex]X - 156 = 1.66*24[/tex]
[tex]X = 196[/tex]
d. Linda
Z = 1.46. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.46 = \frac{X - 156}{24}[/tex]
[tex]X - 156 = 1.46*24[/tex]
[tex]X = 191[/tex]
e. Robert
Z = 1.11. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.11 = \frac{X - 156}{24}[/tex]
[tex]X - 156 = 1.11*24[/tex]
[tex]X = 183[/tex]
f. Susan
Z = -1.9. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.9 = \frac{X - 156}{24}[/tex]
[tex]X - 156 = -1.9*24[/tex]
[tex]X = 110[/tex]
Mark the angles and sides of each pair of triangles to indicate that they are congruent. NO LINKS!!!
=========================================================
Explanation:
The order of the lettering is important because the order tells us how the letters pair up.
For DCB and CDJ, we have D and C as the first letters. So that means angle D and angle C are congruent between the triangles. I've marked this in red. The other angles are handled the same way.
The congruences for the segments are then built up from the angles.
At an effective annual interest rate i, i > 0, each of the following two sets of payments has present value K:
a. A payment of 121 immediately and another payment of 121 at the end of one year
b. A payment of 144 at the end of two years and another payment of 144 at the end of three vears.
Calculate i.
Answer:
Hence the calculated
Step-by-step explanation:
Now,
[tex]121+121v=144v^{2} + 144 v^{3} =K\\121(1+v)=144v^{2} (1+v)\\v^{2} =\frac{121}{144} \\\\v=\frac{11}{12}[/tex]
Then K is calculated as,
[tex]K=121(1+v)\\K=121(1+\frac{11}{12} )\\K=\frac{121(23)}{12} \\\\K= 231.916[/tex]
Here we get,
[tex]i=\left | \left ( \frac{v-1}{v} \right ) \right |\\i=\left | \frac{\frac{11}{12}-1}{\frac{11}{12}} \right |\\i=\frac{1}{11}[/tex]
Please help meeeeeee!!
Find x so that m || n. Show your work.
Solution:-Since m || n, 4x – 23 = 2x + 17 by the Converse of alternate exterior angles theorem.
Solve for x.
[tex]\sf{4x-23=2x+17}[/tex]
[tex]\sf{4x-2x-23=2x-2x+17}[/tex]
[tex]\sf{2x-23=17}[/tex]
[tex]\sf{2x-23+23=17+23}[/tex]
[tex]\sf{2x=40}[/tex]
[tex]\sf{\frac{2x}{2}={\frac{40}{2}}}[/tex]
[tex]\sf{x={\color{magenta}{20}}}[/tex]
========================#Hope it helps!
(ノ^_^)ノ
Translate and solve: 46 less than y is at least -184
Translate: y - 46 > -184
Possible answer: y > - 138
Solution:
y - 46 > -184
= y > - 184 + 46
= y > - 138
#CarryOnLearning
The Possible answer of the given statement could be as y > - 138.
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true.
Such values are called solution to that equation or inequality.
A Set of such values is called solution set to the considered equation or inequality.
Given information; 46 less than y is at least -184
To Translate: y - 46 > -184
WE can solve it as;
y - 46 > -184
y > - 184 + 46
y > - 138
Therefore, The Possible answer of the given statement could be as y > - 138.
Learn more about inequalities here:
https://brainly.com/question/27425770
#SPJ5
It takes Miguel 18 minutes to finish reading 4 pages of a book. How long does it take him to finish reading 30 pages
Answer: 135 minutes or 2 hours and 15 minutes
Step-by-step explanation:
4/18 = 30/ x
Solve for duh 'x'
thvuvugufugy i need help pls i beg
Answer:
A-10
B- -12
C-3.6
If you cant understand B is -12
