Answer:
Your answer is going to be D
Step-by-step explanation:
Find the sum of the arithmetic sequence.
-10, -7, -4, -1, 2, 5, 8
Answer:
s7= -7
Step-by-step explanation:
PLEASE HELP, State the following key features of the quadratic function
The features of the quadratic function, y = (x - 4)² - 1 are;
a) Vertex = (4, -1)
b) Domain; -∞ < x < ∞
c) Range; -∞ < y ≤ -1
d) x-intercepts; (5, 0), (3, 0)
e) y-intercept; (0, 15)
f) Axis of symmetry; x = 4
g) Congruent equation; y + 1 = (x - 4)²
What is the vertex form of a quadratic function?The vertex form of a quadratic equation (the equation of a parabola) can be presented as follows;
y = a·(x - h)² + k
Where;
a = The leading coefficient
(h, k) = The coordinates of the vertex
The axis of symmetry is; x = h
The y-intercept is the point on the graph where x = 0
The x-intercept is the point on the graph where; y = 0
The specified quadratic function is; y = (x - 4)² - 1
Therefore;
a) The vertex, (h, k) = (4, -1)
b) The graph of the function is continuous, therefore the domain is the set of all real numbers, or the domain is; -∞ < x < ∞
c) The range is the set of possible y-values, therefore;
The range is; -∞ < y < -1
d) The x-intercept are; y = (x - 4)² - 1 = 0
(x - 4)² = 1
x - 4 = √1 = ±1
x = 1 + 4 = 5, and x = -1 + 4 = 3
The x-intercepts are; (5, 0), and (3, 0)
e) The y-intercept is; y = (0 - 4)² - 1 = 15
The coordinate of the y-intercept is; (0, 15)
f) The axis of symmetry, x = h is; x = 4
g) The congruent equation to y = (x - 4)² - 1 is; y + 1 = (x - 4)²
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will give brainlist if your get it right
Heidi is riding her bike to visit a friend in another town. Her speed is inversely related to her travel time. If she is Charlie at 15 mph it will take her for hours to reach her destination. How long will it take her if she travels at 12 mph?
Step-by-step explanation:
I am not sure I understand the question with all the typos and potentially missing parts.
as I understand it, it will take her 4 hours to reach her destination when going 15 mph.
and the question is how long the trip will take, if she travels at 12 mph.
4 h × 15 m/h = 4 × 15 m = 60 miles
that is the distance of her trip.
when going slower, the distance is of course still the same, only the needed time changes :
x h × 12 m/h = 60 m
x × 12 m = 60 m
x = 60/12 = 5 hours
the trip would take her 5 hours to complete (instead of 4).
Determine the amount of an investment if $500 is
invested at an interest rate of 8.25% that is
compounded monthly for 13 years.
If $500 is invested at an interest rate of 8.25% that is compounded monthly for 13 years. The amount invested is $1455.99.
How to find the amount invested?Using this formula to find the amount of the investment
A = P(1 + r/n)^(nt)
Where:
A = Amount
P = Principal = $500
r = Interest rate = 8.25%
n = Number of times
t = Number of years = 13
Let plug in the formula
A = 500(1 + 0.0825/12)^(12*13)
A = $1,455.99
Therefore the amount is $1,455.99.
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arrange in descending order 11/31, 11/5,
11/12
Answer:
11/31 11/12 11/5
Step-by-step explanation:
because 11/5 is a mixed number and the bigger the denominator the smaller the number
17 Translate the problem into a mathematical equation and solve. (TEKS: ASA)
Juan earned $9.00 per hour working at a grocery store. He earned $450 each week before taxes.
Find the number of hours he worked each week.
A 5 hours
B 44 hours
C 50 hours
D 58 hours
At Carroll Junior High their are 30 students for every 2 teachers on campus. If only teachers and students are counted, there were 416 people on campus yesterday. How many were teachers and how many were students?
What is b1 and r of geometrical sequence if b3 −b1 = 16 and b5 −b3 = 144.
Answer:
b1 = 2 ; r = 3
Step-by-step explanation:
Given that :
if b3 −b1 = 16 and b5 −b3 = 144.
For a geometric series :
Ist term = a
Second term = ar
3rd term = ar^2
4th term = ar^3
5th term = ar^4 ;...
If b3 - b1 = 16;
ar^2 - a = 16
a(r^2 - 1) = 16 - - - (1)
b5 - b3 = 144
ar^4 - ar^2 = 144
ar^2(r^2 - 1) = 144 - - - - (2)
Divide (1) by (2)
a(r^2 - 1) / ar^2(r^2 - 1) = 16 /144
a / ar^2 = 1 / 9
ar^2 = 9a
Substitute for a in ar^2 - a = 16
9a - a = 16
8a = 16
a = 2
From ar^2 - a = 16
2r^2 - 2 = 16
2r^2 = 16 + 2
2r^2 = 18
r^2 = 18 / 2
r^2 = 9
r = √9
r = 3
Hence ;
a = b1 = 2 ; r = 3
1/2 times what =5
I need help pls its due tomorrow. :(
Answer:
10
Step-by-step explanation:
half of 10 is 5
Answer:10
Step-by-step explanation:
Transversal cuts parallel lines and as shown in the diagram, and mâ 4 = 55. 1°. What are mâ 5 and mâ 7? A. Mâ 5 = 34. 9°, and mâ 7 = 145. 1°. B. Mâ 5 = 55. 1°, and mâ 7 = 34. 9°. C. Mâ 5 = 124. 9°, and mâ 7 = 55. 1°. D. Mâ 5 = 55. 1°, and mâ 7 = 124. 9°. E. Mâ 5 = 34. 9°, and mâ 7 = 55. 1°.
The value of \(\angle 5\) and \(\angle 7\) is 125 degrees
The given parameter is:
\(\angle 4 = 55\)
From the question (see attachment), we have:
\(\angle 5 = 180 - \angle 4\) ---- same side interior angle
\(\angle 5 = \angle 7\) ---------------- vertical angles
Substitute 55 for <4 in \(\angle 5 = 180 - \angle 4\)
\(\angle 5 = 180 - 55\)
Subtract 55 from 180
\(\angle 5 = 125\)
Also, we have:
\(\angle 5 = \angle 7\)
Substitute 125 for <5
\(\angle 7 = 125\)
Hence, the values of \(\angle 5\) and \(\angle 7\) are 125 degrees, respectively
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Jan spends part of her year as a member of a gym. She then finds a better deal at another gym, so she cancels her membership with the first gym after x months and spends the rest of the year, y months, with the second gym. The membership to the first gym costs $85 per month, while the membership for the second gym costs $50 per month. If she ended up spending a total of $705 over the course of the year, how much time did she spend at each gym?
Answer:
Jan spent 3 months at the first gym and 9 months at the second gym.
Step-by-step explanation:
Given that:
1 year = 12 months
x = months at gym one
y = months at other gym
According to given statement;
x+y=12 Eqn 1
85x+50y=705 Eqn 2
Multiplying Eqn 1 by 50
50(x+y=12)
50x+50y=600 Eqn 3
Subtracting Eqn 3 from Eqn 2
(85x+50y)-(50x+50y)=705-600
85x+50y-50x-50y=105
35x=105
Dividing both sides by 35
\(\frac{35x}{35}=\frac{105}{35}\\x=3\)
Putting x=3 in Eqn 1
3+y=12
y=12-3
y=9
Hence,
Jan spent 3 months at the first gym and 9 months at the second gym.
If the original quantity is 15 and the new quantity is 19, estimate the percent change.
15 to 19 was about a 27% in increase
Find the circumference.
Use 3.14 for t.
r= 2 m
C = [?] m
C=Td
Answer:
12.56 m
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi *r
C = 2 * (3.14) * 2
C =12.56
Suppose that X is normally distributed with a mean of 20 and a standard deviation of 18. What is P(X 2 62.48)? a) 0.991 b) 0,012 c) 0.491 d) 0.009 e) 0.014 f) None of the above
The value of P(X 2 62.48) is (d) 0.009.
How we get the value of P(X 2 62.48)?To solve this problem, we need to standardize the random variable X by subtracting the mean and dividing by the standard deviation to obtain a standard normal variable Z.
Calculate Z-score
\(Z = (62.48 - 20) / 18 = 2.9167\)Look up the probability in the standard normal table or use a calculator to find the area under the standard normal curve to the right of Z.
Using a standard normal table, we can find that the area to the right of 2.9167 is approximately 0.002.
The probability of X being greater than 62.48 is equivalent to the probability of Z being greater than 2.9167, which is the standardized version of X.
We use a standard normal table or calculator to find the area under the standard normal curve to the right of Z. The answer is the probability that Z is greater than 2.9167.
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The odd function f(t) = t; 0 < t < 1; f(t + 2) = f(t) has Fourier coefficients b₁ = [(-1)"] ng The Fourier series of f(t) is equal to: [2]
The given function, f(t), is defined as an odd function over the interval 0 < t < 1, and it satisfies the periodicity condition f(t + 2) = f(t). The Fourier series expansion of f(t) is given by:
f(t) = b₁sin(πt) + b₂sin(2πt) + b₃sin(3πt) + ...
Since f(t) is an odd function, all the cosine terms in the Fourier series expansion will be zero. The coefficients b₁, b₂, b₃, ... represent the amplitudes of the sine terms in the expansion.
From the given information, it is stated that the coefficient b₁ is equal to [(-1)^(n+1)]/n. Therefore, the Fourier series expansion of f(t) can be written as:
f(t) = [(-1)^(1+1)]/1 * sin(πt) + [(-1)^(2+1)]/2 * sin(2πt) + [(-1)^(3+1)]/3 * sin(3πt) + ...
Simplifying the signs, we have:
f(t) = sin(πt) - (1/2)sin(2πt) + (1/3)sin(3πt) - (1/4)sin(4πt) + ...
Therefore, the Fourier series expansion of the odd function f(t) is given by the sum of sine terms with amplitudes determined by the coefficients b₁ = [(-1)^(n+1)]/n.
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If j is 7 times larger than 6 what is j
Answer:
42
Step-by-step explanation:
6 x 7 = 42
Pls solve this as soon as possible first gets a brainliest
Answer:
34
Step-by-step explanation:
4+15+15
Answer:
Area= 34cm squared
HELP PLS THIS IS A TEST QUESTION
Which linear inequality is represented by the graph?
y<1/2x+2
y>1/2x+2
y<1/3x+2
y>1/3x+2
Answer:
y<1/2+2
Step-by-step explanation:
Answer:
I think the answer is A because I learned about slope last year
For the complex number z = Negative StartFraction StartRoot 21 EndRoot Over 2 EndFraction minus StartFraction StartRoot 7 EndRoot Over 2 EndFraction i, what is arg(z)? 150° 210° 240° 330°
Answer:
210
Step-by-step explanation:
Answer:
210
Step-by-step explanation:
EDGE 2020
please help me out with this.its graded and am lost.please guys no link.thank you
Answer:
1. Talin está hiendo a la universidad todos los días.
2. Daniel está construyendo un edificio.
3. Lorena y Carlos están leyendo las noticias en el periódico.
4. Mis amigos y yo estamos escuchando música.
5. Está cayendo mucha nieve.
6. Los chicos están huyendo de la policía.
7. Ellos están destruyendo el viejo hospital.
8. Mis papás están contribuyendo con las donaciones.
9. Mi hermana está trayendo las sillas y mesas.
10. !Tu estas creyendo en sus mentiras!
Step-by-step explanation:
What is the value of 4.3X 10^5
Answer: 430000
Step-by-step explanation: you have to do pemdas
Answer: 430,000. /four hundred thirty thousand
Step-by-step explanation:
The value of 4.3 x 10^5 is 430,000.
To understand this, the notation 4.3 x 10^5 represents a number in scientific notation, where 4.3 is the coefficient or significand, and 10^5 is the exponent. The exponent of 10 tells us how many places to move the decimal point to the right. In this case, the exponent 5 means we need to move the decimal point five places to the right.
Starting with 4.3, we move the decimal point five places to the right to get 430,000. So, 4.3 x 10^5 is equivalent to 430,000.
3 less than the product of a number g and 49?
Answer:
The equation for this is:
n(g) + 49 - 3
Step-by-step explanation:
The term "Product" means "multiplication." And "number" can be reduced to the term "n," like "g" is. The word "and" means "addition." And, "3 less" means - 3:
n(g) + 49 - 3
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 10 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Answer:
49g -3
Step-by-step explanation:
3 less than the product of a number g and 49
Writing an algebraic expression
less than means it comes after
the product of a number g and 49
49g
3 less than
49g -3
Find The Area Of The Region. Interior Of R = 9 + 7 Sin Θ (Below The Polar Axis) 2) Find The Area Of The Region. Two Petals Of R = 8 Sin(3θ) 3) Find Dy/Dx.
1) Find the area of the region.
Interior of r = 9 + 7 sin θ (below the polar axis)
2) Find the area of the region.
Two petals of r = 8 sin(3θ)
3) Find dy/dx.
x=\sqrt[3]{t}
y=3-t
To find the area of the region interior to r = 9 + 7sin(θ) below the polar axis, we can integrate the function from the lower bound of θ to the upper bound of θ and take the absolute value of the integral.
To find the area of the region formed by two petals of r = 8sin(3θ), we can integrate the function over the appropriate range of θ and take the absolute value of the integral. To find dy/dx for the given parametric equations x = t^(1/3) and y = 3 - t, we differentiate y with respect to t and x with respect to t and then divide dy/dt by dx/dt.
To find the area of the region interior to r = 9 + 7sin(θ) below the polar axis, we need to evaluate the integral ∫[lower bound to upper bound] |1/2 * r^2 * dθ|. In this case, the lower bound and upper bound of θ will depend on the range of values where the function is below the polar axis. By integrating the expression, we can find the area of the region. To find the area of the region formed by two petals of r = 8sin(3θ), we need to evaluate the integral ∫[lower bound to upper bound] |1/2 * r^2 * dθ|.
The lower bound and upper bound of θ will depend on the range of values where the function forms the desired shape. By integrating the expression, we can calculate the area of the region. To find dy/dx for the parametric equations x = t^(1/3) and y = 3 - t, we differentiate both equations with respect to t. Taking the derivative of y with respect to t gives dy/dt = -1, and differentiating x with respect to t gives dx/dt = (1/3) * t^(-2/3). Finally, we can find dy/dx by dividing dy/dt by dx/dt, resulting in dy/dx = -3 * t^(2/3).
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Given the graph below, determine the values for a and b in the equation y=blog3(x+a). If a value is a non-integer then type it as a reduced fraction.
The values of b and a for the logarithmic function in this problem are given as follows:
a = -4.b = -2.1.How to define the logarithmic function?The logarithmic function in the context of this problem has the format given as follows:
\(y = b\log_3{x + a}\)
The vertical asymptote is at x = -4, hence:
\(y = b\log_3{x - 4}\)
When x = 5, y = -1, hence the parameter b is obtained as follows:
\(-1 = b\log_3{5 - 4}\)
0.477b = -1
b = -1/0.477
b = -2.1.
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To test if x is a good predictor of y in Simple Linear Regression we need to determine whether: Group of answer choices the intercept is significantly different from zero. the predictor variable is significantly different from zero. the slope is significantly different from zero. the F test statistic is significantly different from zero. the error term is significantly different from zero. the response variable is significantly different from zero.
For testing, if x is a significant predictor of y in simple linear regression, we need to determine if the slope is significantly different from zero.
Given,
Simple linear regression .
A statistical technique known as linear regression is used to represent the connection between a scalar answer and one or more explanatory factors. When there is just one explanatory variable, simple linear regression is employed; when there are numerous explanatory variables, multiple linear regression is utilized.
Based on the value of another variable, linear regression analysis makes predictions about the value of the first variable. The dependent variable is the one you're trying to forecast. The independent variable is the one you are utilizing to make a prediction about the value of the other variable.
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what is the probability that the mean lifetime of 25 randomly selected tires of this type will exceed than 42,000 miles?
The probability that the mean lifetime of 25 randomly selected tires of this type will exceed than 42,000 miles is 25.14.
To break this problem, we need to use the standard normal distribution, assuming that the distribution of tire continuances is roughly normal. We can regularize the value of 42,000 using the formula
z = ( x- μ)/ σ
where x is the value of interest( 42,000 long hauls), μ is the mean tire continuance( 40,000 long hauls), and σ is the standard deviation( 3,000 miles). Plugging in the values, we get
z = ( 42,000- 40,000)/ 3,000 = 0.67
Using a standard normal distribution table or calculator, we can find the probability that an aimlessly named tire will last further than 42,000 long miles by looking up the area to the right of z = 0.67 under the standard average wind. This probability is roughly 25.14.
thus, the probability that a tire named arbitrarily from this brand will last more than 42,000 miles is roughly 25.14.
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The correct question is given below-
A particular brand of tires lasts an average of 40,000 miles with a standard deviation of 3,000 miles. What is the probability a tire selected at random lasts more than 42,000 miles?
Jose plotted points on a coordinate plane to represent the vertices of a rectangle. The first two points are sown below. Which could be the other points Jose plotted? Which could be the other point Jose Plotted?
A C(6,5) and D(6,6)
B C(7,5) and D(7,1)
C C(5,8) and D(1.8)
D C(4,7) and D(4,3)
Please Someone Help Me With This Question
Answer:
B
Step-by-step explanation:
One easy way to solve this (considering it's on paper) would be to just plot the points of each option (because a rectangle is a quadrilateral which is equiangular (right angles) and a parallelogram).
Another way to solve this is the fact that it's angles are right angles. This means that a point has to be on the line y=5 and another point has to be on the line y=1. This means that the y coordinates of the other two points has to be 5 or 1, making the only possible answer B.
Does someone mind helping me with this? Thank you!
- The equilateral triangle and the rectangle have equal perimeters, measured in feet.
a. Find the value of x.
Answer:
x=
Step-by-step explanation:
Answer:
Do you have a picture that goes with the question that you can post?
Step-by-step explanation: