Answer:
144
Step-by-step explanation:
The sequence is:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946
so you can see the first term larger than 120 is the 144.
The first term in the sequence to exceed 120 will be 144.
What are sequence and series?A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.
The sequence is given below.
1, 1, 2, 3, 5, 8.
The sequence is given as,
aₙ = aₙ₋₁ + aₙ₋₂
The first and second terms are given as,
a₁ = 1 and a₂ = 1
Then the 7th term is given as,
a₇ = a₆ + a₅
a₇ = 5 + 8
a₇ = 13
Then the 8th term is given as,
a₈ = a₇ + a₆
a₈ = 13 + 8
a₈ = 21
Then the 12th term is given as,
a₁₂ = a₁₁ + a₁₀
a₁₂ = 89 + 55
a₁₂ = 144
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, and 144.
The first term in the sequence to exceed 120 will be 144.
More about the sequence link is given below.
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Name the coordinates of each star in the map of a galaxy far, far away.
Answer:
they were each far far away from each other
Step-by-step explanation:
Which of the following is an equation for line m shown below which is perpendicular to the line whose equation is y=2/3x + 4
1) y= -2/3x + 8
2)y= 3/2x + 6
3)y= -2/3x + 12
4)y= -3/2x + 4
The line perpendicular to the line y = 2/3x + 4 is 4) y = -3/2x + 4.
What is slope?The slope is the rate of change of the y-axis with respect to the x-axis.
The equation of a line in slope-intercept form is y = mx + b, where
slope = m and y-intercept = b.
We know the greater the absolute value of a slope is the more steeper is it's graph or rate of change is large.
The given equation of a line in slope-intercept form is y = (2/3)x + 4.
Now, We know lines perpendicular to each other have slopes that are negative reciprocal to each other.
If one line has a slope of 'm' the line perpendicular to it will have slope
(-1/m).
Therefore, From the given options the line y = -(3/2)x + 4 is the line perpendicular to the line y = (2/3)x + 4.
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is the expression 70-(4 • 15 ) a different three terms product of two times or a difference of two term?
what was the answer I’m on the same one
Does anyone know the answer to this?
Answer:
B
Step-by-step explanation:
-3/4y - 1/5y = 380 can be simplified to -19/20y = 380.
In order for the student to incorrectly get 361, they likely just multiplied the 380 by 19/20 rather than multiplying by the reciprocal (which would be -20/19).
This means the best answer should be B.
To go on a summer trip, Kareem borrows 400$. He makes no payments until the end of 4 years when he pays off the entire loan. The lender charges simple interest at an annual rate of 6%.
need the answer pleas thx1
Answer:
n = 1.42857
Step-by-step explanation:
if a2 is -140 then somewhere between is -100. 3/7 is equal to 0.42857142857 in which it is 3/7 from -70 to -140 in a number range of 1 to 2. 1.42857142857 is your best bet as your answer.
Please help me asap
Answer:
She walked 1.5 miles, then 0.75 miles. Hence 1.5 + 0.75= 2.25 or 2 and 1/4 a mileThe area of Mr. Rogers’ field is 3 ⅓ square miles. If the width of the field is ⅔ of a mile, what is the length?
Answer:
Length of Mr. Roger's field = 5 miles
Step-by-step explanation:
Given that:
Area of Mr. Roger's field = [tex]3\frac{1}{3}=\frac{10}{3}[/tex] square miles
Width of Mr. Roger's field = [tex]\frac{2}{3}[/tex] of a mile
Let,
l be the length of Mr. Roger's field
Area of field = Length * Width
[tex]\frac{10}{3}=\frac{2}{3}l[/tex]
Multiplying both sides by 3/2
[tex]\frac{3}{2}*\frac{10}{3}=\frac{2}{3}l*\frac{3}{2}\\5 = l\\l = 5[/tex]
Hence,
Length of Mr. Roger's field = 5 miles
A researcher wishes to determine whether the rate of water flow (in liters per second) over an experimental soil bed can be used to predict the amount of soil washed away (in kilograms). In this study, the explanatory variable is the
A. amount of eroded soil.
B. rate of water flow.
C. depth of the soil bed.
D. size of the soil bed.
E. None of the above.
Answer:
B. rate of water flow.
Step-by-step explanation:
Given that in a research study the explanatory variable is a form of a variable that is independent and it is used by the researcher to make predictions or analyze variations in other variables known as response variables.
Hence, in this case, the Explanatory variable is the "rate of water flow" because it is the variable researcher wishes to utilize in predicting the amount of soil washed away.
how to do this question pls tell mme
Answer:
x = 35°
y = 55°
Step-by-step explanation:
60° + 50° + 2x = 180° (Sum of angles on a straight line is 180°)
2x = 180° - 110°
x = 70°/2 = 35°
2x + 2y = 180°( Sum of interior angles of a triangle is 180°)
2× 35° + 2y = 180°
70° + 2y = 180°
2y = 180° - 70°
y = 110°/2
y = 55°
The first five terms of a sequence are 7, 10, 13, 16, and 19.
Which of the following functions define this sequence for all integers n ≥ 1?
Answer:
Option B is correct
For , the function for the given sequence is defined as;
Step-by-step explanation:
An arithmetic sequence is a sequence in which the difference between each consecutive term is constant.
An explicit formula for this arithmetic sequence given by;
where a represents first term
Since, the given sequences; 7 , 10 , 13 , 16 and 19
⇒ common difference(d) = 3 and a = 7
Since.
10 -7 = 3
13- 10 = 3 ....
The function which defined this sequence is;
using distributive property:
therefore, the function for the given sequence for all integers is;
please help with this question i have 1 hour to finish this test
Answer:
29
Step-by-step explanation:
2x - 14 = x + 15
2x - x = 15 + 14
x = 29
check
44 = 44
Answer:
pretty sure it's 29
Step-by-step explanation:
equation: 2x-14=x+15
how to solve: add 14 to both side, and subtract x from both sides. The equation will then be x=29.
I might be wrong tho.
Analyze the diagram below and complete the instructions that follow.
Find the value of x and the value of y.
A. x=22/2, y = 8
B. X= 2, y = 416
C. x=21/2, y= 2/6
D. x= 23, y = 613
Answer:
[tex]\displaystyle y=2\sqrt{6}[/tex]
[tex]\displaystyle x=2\sqrt{2}[/tex]
Step-by-step explanation:
Trigonometric Ratios
The ratios of the sides of a right triangle are called trigonometric ratios.
The longest side of the right triangle is called the hypotenuse and the other two sides are the legs.
Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.
The image provided shows a right triangle whose hypotenuse is given. We are required to find the value of both legs.
Let's pick the angle of 30°. Its adjacent side is y. We can use the cosine ration, which is defined as follows:
[tex]\displaystyle \cos 30^\circ=\frac{\text{adjacent leg}}{\text{hypotenuse}}[/tex]
[tex]\displaystyle \cos 30^\circ=\frac{y}{4\sqrt{2}}[/tex]
Solving for y:
[tex]y=4\sqrt{2}\cos 30^\circ[/tex]
Since:
[tex]\cos 30^\circ=\frac{\sqrt{3}}{2}[/tex]
[tex]\displaystyle y=4\sqrt{2}\frac{\sqrt{3}}{2}[/tex]
Simplifying:
[tex]\displaystyle y=2\sqrt{6}[/tex]
Now we use the sine ratio:
[tex]\displaystyle \sin 30^\circ=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]
[tex]\displaystyle \sin 30^\circ=\frac{x}{4\sqrt{2}}[/tex]
Solving for x:
[tex]x=4\sqrt{2}\sin 30^\circ[/tex]
Since:
[tex]\sin 30^\circ=\frac{1}{2}:[/tex]
[tex]\displaystyle x=4\sqrt{2}\frac{1}{2}[/tex]
Simplifying:
[tex]\displaystyle x=2\sqrt{2}[/tex]
The choices are not clear, but it seems like the correct answer is C.
[tex]\boxed{\displaystyle y=2\sqrt{6}}[/tex]
[tex]\boxed{\displaystyle x=2\sqrt{2}}[/tex]
i need help with this question
9514 1404 393
Answer:
11/20
Step-by-step explanation:
It is appropriate to "invert and multiply".
[tex]\dfrac{5}{20}\div\dfrac{5}{11}=\dfrac{5}{20}\times\dfrac{11}{5}=\dfrac{5\times11}{5\times20}=\boxed{\dfrac{11}{20}}[/tex]
Convert the expression to exponential form
4.4.4.4.4
Answer:
4^5 (the 5 is the exponent)The exponential form of expression is 4⁵.
What is exponential form?To grow at an ever-increasing rate is referred to as exponential growth. On the other hand, it is a mathematical expression with one or more exponents in mathematics. As a result, we call it an exponential form.
We can say that something might grow at an exponential rate if it grows faster and faster as the thing being discussed gets bigger.
Given expression
4.4.4.4.4
Writing a number as the product of its prime factors is the very first step in expressing it in exponential form.
number is in factors
4 x 4 x 4 x 4 x 4
a numerical term that has been increased to certain powers of its prime factors
= 4⁵
where 5 is exponent.
Hence the exponential form is 4⁵.
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You leave a pile of sand in your backyard on a windy day. Every minute the wind blows away 10 percent of the remaining sand. You started with five cubic feet of sand. What equation models the amount of sand after minutes?
Answer:
10% of the remaining sand You had 5 ft of sand So y=5(.10(x))Answer:
the RIGHT answer is y = 5 x 0.90^x
Step-by-step explanation:
ten percent has already been blown away, so you only include the percentage of what hasn't been blown away in the equation. (also i just did the assignment and got 100% so you can trust this).
what is the area of this trapezoid?
plss help
i will telling you a brainlist!!!
Answer:
30in²
Step-by-step explanation:
A=1/2(4)(5+10)
A=2x15
A=30in²
is -12•(-8) negative vaule
Answer:
Yes i think its -96,
if thats what your asking
A single die is rolled twice. Find the probability of rolling a 2 the first time and a 4 the second time
Explanation:
The probability of rolling a "2" is 1/6
The probability of rolling a "4" is also 1/6
Multiplying those fractions leads to (1/6)*(1/6) = 1/36. We can multiply the probabilities because the events are independent. Each dice roll does not affect any others.
The probability of rolling a 2 the first time and a 4 the second time is 1/36
There are 6 faces on a die.
Of these 6 faces, one of them is 2 and one of them is 4
So, the probabilities of rolling a 2 and a 4 are:
P(2) = 1/6
P(4) = 1/6
The probability of rolling a 2 the first time and a 4 the second time is calculated as follows:
[tex]\mathbf{Pr = P(2) \times P(4)}[/tex]
This gives
[tex]\mathbf{Pr = \frac 16 \times \frac 16}[/tex]
Multiply
[tex]\mathbf{Pr = \frac 1{36}}[/tex]
Hence, the probability of rolling a 2 the first time and a 4 the second time is 1/36
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Best and correct answer gets BRAINLIEST!!!
Which line has a constant of proportionality between y and x (Slope) of 4/3?
4/3 = slope = rise over run
(Rephrase) Which line has a slope of 4/3? Go up 4 over 3
Answer: B
The perimeter of a rectangular construction site is 124 meters. The width is eight meters more than 5 times the length. Find the length and width of the construction site.
Show work
Answer:
The perimeter of a rectangle is the sum of both lengths and both widths, which is equal to 54 meters. Let's call Length L and Width W.
The question is saying this: L = 3 meters + 3(W). We have 2 variables, which means we need at least 2 equations to solve. So far we have one, our second equation is from the perimeter.
2 lengths + 2 Widths = 54. Now, it's just a plug and chug.
2(3 + 3W) + 2W = 54.
6 + 6W + 2W = 54
8W = 48
W=6
L = 3 + 3(6) = 21
To double check: 2(21) + 2(6) = 42 + 12 = 54
The Width is 6 meters, and the Length is 21 meters.
The function below shows the revenue for t-shirt sales. For every $1 decrease in price, 5 more t-shirts can be sold.
Part A: What is the maximum of this graph and what does the maximum represent?
Part B: What is the y-intercept of the graph? what does it represent?
Part C: Does the graph have zerosolution(s)? If so, identify the zero and what it represents?
Answer:
Part A: The maximum of the graph is the highest point which is at (2.5, 2531.25). Since xx is the decrease in price and yy is the profit, the maximum of (2.5, 2531.25) means that the maximum profit is $2531.25 and occurs when the price of the t-shirts is decreased by $2.50.
Part B: The yy-intercept is when the graph intersects the yy-axis which occurs at about (0, 2500). The yy-intercept then means that the profit is $2500 if the price of the t-shirts does not decrease.
Part C: The solution of a graph is its xx-intercept(s). The graph crosses the xx-axis at (25,0) so this point is the solution. The solution means that the profit will be $0 if the price is decreased by $25.
Step-by-step explanation:
If a system of two linear equations has no solutions, which of the following statements describes the graph of the two corresponding lines in the xy-plane?
a. The lines are coinciding
b. The lines intersect at only one point
c. The lines are parallel
d. The lines are perpendicular
Explain why you picked your answer:
From the linear equation, the option that describes the graph of the two corresponding lines is C. The lines are parallel.
Based on the complete information, it should be noted that the lines are not coinciding and they don't intersect at only one point.
Rather, it can be deduced that the graph of the two corresponding lines in the xy-plane are parallel.
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please help!!!! find x and y
9514 1404 393
Answer:
(x, y) = (10, 2)
Step-by-step explanation:
The upper angle marked with an expression in x and y is supplementary to the angle marked 70°. The lower angle marked with an expression in x and y is an alternate interior angle with respect to the one marked 70°, is equal to that. This gives the two equations in x and y:
6x +10y +30 = 110
4x +10y +10 = 70
Subtracting the second equation from the first gives ...
2x +20 = 40
x +10 = 20 . . . . . divide by 2
x = 10 . . . . . . . . . subtract 10
Substituting into the second equation gives ...
4(10) +10y +10 = 70
4 + y + 1 = 7 . . . . . . . . divide by 10
y = 2 . . . . . . . . . . . . . . subtract 5
The values of x and y are 10 and 2, respectively.
Answer:
9514 1404 393
Step-by-step explanation:
Which point could represent 5/3?
B -3
A -1/2
D 1/2
C 1 1/2
Answer:
(D)
Step-by-step explanation:
is the correct because is 1/2
Answer:
C. 1 1/2
Step-by-step explanation:
25/8 in decimal form
Answer:
3.125
Step-by-step explanation:
Answer:
25/8 in a decimal form is
Step-by-step explanation:
3.125
Solve the equation and determine the value of t. t + 38 = 420
Answer:
t=382
Step-by-step explanation:
Answer:
382
Step-by-step explanation:
1. t=420-38
2. t=382
Compute the coefficient of determination. Round your answer to four decimal places. A regression equation is obtained for a set of data points. It is found that the total sum of square is 103.5, the regression sum of squares is 89.8, and the error sum of squares is 13.7.
a. 0.1324
b. 0.1526
c. 0.8676
d. 1.1526
Answer:
0.8676
Step-by-step explanation:
Given that :
Total Sum of Square (SST) = 103.5
Regression Sum of Square (SSR) = 89.8
Erroe Sum of Square (SSE) = 13.7
The Coefficient of determination (R²) :
R² = SSR / SST
R² = 89.8 / 103.5
R² = 0.8676328
R² = 0.8676
Need help 15 points
Answer:
correct answer is d....
Answer:
d (22)^40 +(-7)^40 its very easy
Find the solution of the system of equations.
7x + 14y = 21
- 2 + 7y = 6