Answer:
f(x + 1) = -(3/4)*f(x)
(second option)
Step-by-step explanation:
Here we have the sequence:
64, -48, 36, -27, ...
First, we can notice two things:
Each term has a different sign than the previous term, so the relation is something like:
f(x + 1) = -k*f(x)
Now to find the value of k, we can just replace some of the values (for example, the first and the second one)
-48 = -k*64
48/64 = k
3/4 = k
Now, if we use any pair of consecutive terms we should get the same value of k, now let's try to use the second and third terms to see if we get the same value of k:
36 = -k*(-48)
36 = k*48
36/48 = k
3/4 = k
We got the same value, so we can conclude that k = (3/4)
Then the relation that describes this sequence is:
f(x + 1) = -(3/4)*f(x)
Answer:
a
Step-by-step explanation:
brenda runs 3 miles every morning.What is the time taken to complete her daily jogging if she jogs one mile in 6 mins
Range of f(x)=4x+6
^help please
Answer:
Step-by-step explanation:
the range of f(x) = 4x + 6 is all real numbers
Answer:
it's a linear function, so the range is all real numbers
Choose the function whose graph is a parabola.
y = |x + 9|
y = 3\sqrt{x}
y = x 2 - 10
y = -2x
Answer:
y=x2 -10
Step-by-step explanation:
it is because x is squared
Sam is skiing down a mountain. He starts at the peak 97 yards above sea level and skis down the mountain at a rate of 1.5 yards per second. If it takes him 3 minutes to reach flat ground at sea level, what is the measure of the angle that the mountain slope forms with the ground at sea level to the nearest degree?
Answer:
5.2 degrees the mountain slope forms with the ground at sea level
The angle that the mountain slope forms with the ground at sea level is 20.64°
What is speed?"The distance covered by an object in unit time."
What is hypotenuse?"The longest side of a right triangle."
What is sine angle?"In a right triangle for angle θ ,
sin(θ) = opposite side / hypotenuse "
For given example,
Consider the following figure for given example.
Sam starts skiing at the peak 97 yards above sea level.
⇒ XY = 97 yards
He skis down the mountain at a rate of 1.5 yards per second.
⇒ speed = 1.5 yards per second
It takes him 3 minutes to reach flat ground at sea level.
⇒ t = 3 minutes
⇒ t = 180 seconds
XZ is the distance between peak of a mountain and the ground.
Using speed formula,
⇒ speed = XZ / times
⇒ 1.5 = XZ / 180
⇒ XZ = 1.5 × 180
⇒ XZ = 270 yards
This means the hypotenuse of right triangle XYZ is 270 yards.
Now, we need to find the angle that the mountain slope forms with the ground at sea level.
[tex]\Rightarrow sin(\theta)=\frac{XY}{XZ}\\\\\Rightarrow sin(\theta)=\frac{97}{270}\\\\ \Rightarrow sin(\theta)=0.3526\\\\ \Rightarrow \theta = sin^{-1}(0.3526)\\\\\Rightarrow \theta=20.64^{\circ}[/tex]
Therefore, the angle that the mountain slope forms with the ground at sea level is 20.64°
Learn more about sin(θ) here:
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Last year, of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates that planned to provide a holiday gift to their employees. Suppose the survey results are based on a sample of business owners. a. How many business owners in the survey planned to provide a holiday gift to their employees this year
find the surface area of the square pyramid
1. 26 ft²
2. 36 ft²
3.40 ft²
4. 56 ft²
Answer:
4. 56 ft²
Step-by-step explanation:
SA = (4×4)+(4×½×4×5)
= 16+40
= 56
help asap pls -=-=-=-=--------------
Answer:
-1/3
Step-by-step explanation:
at x=0 y= 5
at x=3 y= 4
y=ax+b
b= 5
4=3x+5
3x= -1
x= -1/3
[tex]y = - \frac{x}{3} + 5[/tex]
The perimeter of parallelogram ABCD is 96cm. AD is 9 cm more than twice AB. Find the lengths of all four sides of ABCD.
Answer: [tex]AB=CD=13\ cm\ \text{and}\ BC=AD=35\ cm[/tex]
Step-by-step explanation:
Given
ABCD is a parallelogram
Side AD is 9 cm more than twice AB i.e.
[tex]AD=9+2AB[/tex]
Also, for parallelogram
[tex]\Rightarrow AB=CD,BC=CD[/tex]
Perimeter is the sum of the sides
[tex]\therefore AB+BC+CD+AD=96\\\Rightarrow AB+AD+AB+AD=96\\\Rightarrow AB+AD=48\\\\\text{Substitute the value of AD}\\\Rightarrow AB+9+2AB=48\\\Rightarrow 3AB=39\\\Rightarrow AB=13[/tex]
So, [tex]AD=35\ cm[/tex]
Thus, [tex]AB=CD=13\ cm\ \text{and}\ BC=AD=35\ cm[/tex]
Answer: AB=11
AD=31
BC=31
CD=11
Step-by-step explanation:
The terminal side of 0 is in quadrant II and cos 0 = -5/13. What is sin 0?
Answer:
[tex]\displaystyle \sin\theta=\frac{12}{13}[/tex]
Step-by-step explanation:
We are given that:
[tex]\displaystyle \cos\theta =-\frac{5}{13}\text{ where $\theta$ is in QII}[/tex]
Recall that cosine is the ratio of the adjacent side to the hypotenuse. Using the Pythagorean Theorem, solve for the opposite side (we can ignore the negative for now):
[tex]o=\sqrt{13^2-5^2}=12[/tex]
And since θ is in QII, sine is positive, and cosine and tangent are both negative.
Sine is the ratio of the opposite side to the hypotenuse. Therefore:
[tex]\displaystyle \sin\theta=\frac{12}{13}[/tex]
I really need help with this one
Answer:
i thinh 20 in
Step-by-step explanation:
Answer:
20pi in
Step-by-step explanation:
The formula for the circumference of a circle is 2\pi r
R is radius
2 * pi * 10
20 pi
Units - 20 pi in.
Expand 3(c + 3).
3(c + 3) =
Answer:
3c + 9
Step-by-step explanation:
Remember to multiply everything in the brackets by the number outside the brackets.
Find the greatest four digit square number by division method
Which table shows a proportional relationship between a and b?
A.
a b
3 9
4 12
5 20
B.
a b
20 25
24 30
32 40
C.
a b
4 12
5 15
6 24
D.
a b
3 4
6 9
12 16
Answer:
A
Step-by-step explanation:
3 goes into 9
4 goes into 12
And 5 goes into 20
In parallelogram GHJK if mJKG=115° find m&KGH.
Answer:
x = 65 degree
Step-by-step explanation:
x + 115 = 180 degree (sum of adjacent angles of a parallelogram is 180 degree)
x = 180 - 115
x = 65 degree
does this graph show a function pic out of the multiple choice to explain how
Answer:
B
Step-by-step explanation:
The vertical line test means that if there can't be two y values on the same x point. For example, if you put a vertical line through the red line, it would hit two points, meaning that it isn't a function.
Solve for x (picture attached) Thank you!
Answer:
x= 52
Step-by-step explanation: you have a 90 degree angle the other side would be 90 also. you take 90 and subtract 38 to get the missing value?
PLEASE HELP!!!!!
The double box plot below shows the number of daily visitors to two national parks.
Use medians to compare the centers of the data sets.
Which park has greater variability in the number of daily visitors? Show your work.
In general, which park has more daily visitors? Justify your response.
For which park, could you more accurately predict the number of daily visitors on any given day? Explain.
Answer:
Kindly check explanation
Step-by-step explanation:
From the boxplot attached :
Summer lake :
Median = 60 ( point in between the box)
Variability is given by the Range = maximum - minimum = 80 - 40 = 40
Maximum number of visitors = 80
Summer lake distribution is approximately normally distributed, so number of daily visitors can be more accurately predicted on any given day
Canyon Overlook:
Median = 80 ( point in between the box)
Variability is given by the Range = maximum - minimum = 120 - 30 = 90
Maximum number of visitors = 120
pls answer fast pls
If perimeter of a square shaped garden is 40m then its
area is
a. 160m2
b. 400m2
c. 1600m2
d. None of These
Answer:
d. none of these
Step-by-step explanation:
Area of square= side ×side
Let x meters be the length of a side of the square.
Perimeter= 4(side)
4x= 40
Dividing by 4 throughout:
x= 40 ÷4
x= 10
Area of garden
= x²
= 10²
= 100m²
Answer:
d
Step-by-step explanation:
In triangle CVR, the midpoint of segment CR is S and the midpoint segment CV is T. What term can be used to describe segment ST
a. angle bisector
b. chord
c. midsegment
d. perpendicular bisector
Answer:
C. Midsegment
Step-by-step explanation:
A midsegment is the line segment connecting the midpoints of two sides of a triangle. Since a triangle has three sides, each triangle has three midsegments. A triangle midsegment is parallel to the third side of the triangle and is half of the length of the third side.
The picture below is just an example of what midsegments look like. If you draw out triangle CVR, put points in between CR and CV, and draw a line connecting the two points. You'll see that it looks exactly like a midsegment.
The term "midsegment" is being used to denote the ST segment.
A midsegment is a line that connects the midpoints of 2 triangle edges. A triangle's midsegment is half the size of the triangle's 3rd side and runs parallel to it.
If we create a triangle CVR, insert points across CR and CV, and link the two points with a line.
So, Option "C" is the correct answer to the following question.
Learn more:
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simplify and expand the equation below
7(2-x)-(x-3)
Answer:
- 8x + 17
Step-by-step explanation:
7(2 - x) - (x - 3)
14 - 7x - x + 3
- 8x + 14 + 3
- 8x + 17
Please help i just need to know how to answer these kind of questions
Answer:
Since you didn't ask for the answer
Step-by-step explanation:
sec(∆)=1/cos(∆)
For the above diagram,cos(∆)=15/17
sec(∆)=1/(15/17)
NOTE:I replaced theta
the equation 4y= -3x + 20 is dilated with a scale factor of 2 centered at the (4,2) What is the equation of the line after the dilation ?
Answer:the same?
4y=-3x+20
I’m not quite sure
Drako found an emerald in a cave at a depth between Negative one-half and Negative 1 and two-thirds meters. Which number could represent the depth at which the emerald is located?
A number line going from negative 3 to positive 3 in increments of 1.
Negative 2 and one-third meters
Negative three-fourths meters
Negative one-fourth meters
Negative 1 and StartFraction 5 Over 6 EndFraction meters
Answer:
-3/4 meters could represent where the emerald is located in.
Step-by-step explanation:
Drako found an emerald in a cave at a depth between Negative one-half and Negative 1 and two-thirds meters. -0.75 or -3/4 could represent the depth at which the emerald is located.
Ignoring 12/6 date. . .Anyways, to find the answer first you have to look at all answers and figure out which negative numbers are between -1/2 and -1 2/3.
Long story short your answer is -3/4 meters :D
What is the ratio of the side length of the side opposite any 30 degree angle and the length of the hypothesis ?
Answer:
1 : 2
Step-by-step explanation:
the ratio is 1 : 2
_____
A group of students were surveyed to find out if they like playing tennis or volleyball in PE class. The results are shown in the table:
Complete the table and answer the following questions.
a. What percentage of the total students surveyed like both
Volleyball and Tennis?
b. What is the probability that a student who likes
Volleyball does not like Tennis?
Answer:
a) 41.666...%
b) 10/120 or 1/12
Step-by-step explanation:
50 students like volleyball and tennis out of 120 students surveyed. 50/120 as a percent is 41.6666666...%
10 students like volleyball but not tennis out of 120 students surveyed. 10/120 can also simplify to 1/12
:) ur welcome
PLEASE HELP!!!
Write the factored form of the least common denominator needed to simplify this expression
Answer:
(g+5)x(g-3)
Step-by-step explanation:
The diagram shows a rectangle PQRS.
PQ = 14 cm and QR = 9 cm.
The point A lies on PS so that PA = 5 cm.
The point Blies on SR so that BR = 8 cm.
Answer:
a) The area of the triangle AQB is 43 square centimeters.
b) The length of the line segment AQ is approximately 14.866 centimeters.
Step-by-step explanation:
a) The procedure consist in subtracting the areas of triangles APQ, ASB and BRQ of the area the rectangle, that is to say:
[tex]A = (9\,cm)\cdot (14\,cm) - \frac{1}{2}\cdot (5\,cm)\cdot (14\,cm) - \frac{1}{2}\cdot (8\,cm)\cdot (9\,cm) -\frac{1}{2}\cdot (4\,cm) \cdot (6\,cm)[/tex]
[tex]A = 43\,cm^{2}[/tex]
The area of the triangle AQB is 43 square centimeters.
b) The length of the line segment AQ is determined by Pythagorean Theorem:
[tex]AQ = \sqrt{AP^{2}+PQ^{2}}[/tex] (1)
[tex]AQ = \sqrt{(5\,cm)^{2}+(14\,cm)^{2}}[/tex]
[tex]AQ \approx 14.866\,cm[/tex]
The length of the line segment AQ is approximately 14.866 centimeters.
the standard normal curve shown below models the population distribution of a random variable. what proportion of the values in the population does not lie between the two z-scores indicated on the diagram?
Answer:
The answer is B. 0.1131 because the molecule has been observed and the hill is upwards so there you have
To find a reasonable estimate using decimal numbers, round the decimal to the nearest whole number, so for example 3.4 x 7.5 You can round 3.4 and 7.5 what would the the answer be? I need help answer please
Answer:
The answer after rounding is 24
Step-by-step explanation:
You would round down 3.4 to 3 and round up 7.5 to 8
3 x 8 = 24
The actual answer of 3.4 x 7.5 is 25.5, so 24 isn't too far off.
A store kept track of its total sales for three weeks in a row. This table shows how much money in sales the store earned each week.
How much more money in sales did the store earn in sales in week 2 than in weeks 1 and 3 combined?
$2,519
$2,421
$2,419
$1,294
Week Sales ($)
1 13,674
2 28,473
3 12,380
Answer:
$2419
Step-by-step explanation:
week2 - (week1 + week3) = difference
28473 - (13674 + 12380) = 2419