32:5Which function represents a vertical stretch of an exponential function?ORX) - 3082" : { }O 10-13)1-013)Mark this and retumSave and Fit
Answers
In general terms the form for an exponential function is
\(y=a\cdot b^x\)an exponential function is vertically stretched by a factor a, when:
\(|a|>1\)according to this a function that is vertically stretched is
\(f(x)=3\cdot(\frac{1}{2})^x\)Related Questions
Explain why we get an error when we divide zero by zero
Answers
Answer:
well it's quite simple if we divide any number by 0 we get zero so even if the number is 0 or 100 if it's divided by zero the ans will always be 0.
2a−1/2a and 3a−1/3a , where a is a positive number.
Answers
Answer:
3/2a8/3aStep-by-step explanation:
Maybe you want to simplify each of these expressions.
2a -1/2a = (2 -1/2)a = (3/2)a
__
3a -1/3a = (3 -1/3)a = (8/3)a
An expression is shown below: 3pf2 − 21p2f + 6pf − 42p2 Part A: Rewrite the expression by factoring out the greatest common factor. (4 points) Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
Answers
The expression factoring out the greatest common factor is (3pf - 21p²)(f + 2).
We have the expression as
3pf² - 21p²f + 6pf - 42p²
Now, factorising the expression as
= 3pf² + 6pf - 21p²f - 42p²
= 3pf(f +2) - 21p²(f + 2)
= (3pf - 21p²)(f +2)
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-If the circumference of a circle is 20T
units, what is its area?
Answers
x⁵+x³-5 is divided by x-2
Answers
The Polynomial x⁵ + x³ - 5 is divided by x - 2, the quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.
The quotient and remainder when the polynomial x⁵ + x³ - 5 is divided by x - 2, we can use polynomial long division. Here's the step-by-step process:
1. Write the dividend (x⁵ + x³ - 5) and the divisor (x - 2).
x - 2 | x⁵ + x³ + 0x² + 0x - 5
2. Divide the first term of the dividend (x⁵) by the first term of the divisor (x) to get x⁴. Write x⁴ above the line. x⁴
x - 2 | x⁵ + x³ + 0x² + 0x - 5
3. Multiply the divisor (x - 2) by the quotient term (x⁴) to get x⁵ - 2x⁴. Write this under the dividend and subtract it. x⁴
x - 2 | x⁵ + x³ + 0x² + 0x - 5
- (x⁵ - 2x⁴)
3x⁴ + 0x³ + 0x² + 0x - 5
4. Bring down the next term (-5) from the dividend.
x⁴ + 3x³
x - 2 | x⁵ + x³ + 0x² + 0x - 5
- (x⁵ - 2x⁴)
3x⁴ + 0x³ + 0x² + 0x - 5
5. Divide the first term of the new dividend (3x⁴) by the first term of the divisor (x) to get 3x³. Write 3x³ above the line.
x⁴ + 3x³
x - 2 | x⁵ + x³ + 0x² + 0x - 5
- (x⁵ - 2x⁴)
3x⁴ + 0x³ + 0x² + 0x - 5
6. Multiply the divisor (x - 2) by the new quotient term (3x³) to get 3x⁴ - 6x³. Write this under the new dividend and subtract it.
x⁴ + 3x³
x - 2 | x⁵ + x³ + 0x² + 0x - 5
- (x⁵ - 2x⁴)
3x⁴ + 0x³ + 0x² + 0x - 5
- (3x⁴ - 6x³)
6x³ + 0x² + 0x - 5
7. Repeat steps 4-6 until you have subtracted all terms.
x⁴ + 3x³ + 6x² + 12x + 24
x - 2 | x⁵ + x³ + 0x² + 0x - 5
- (x⁵ - 2x⁴)
3x⁴ + 0x³ + 0x² + 0x - 5
- (3x⁴ - 6x³)
6x³ + 0x² + 0x - 5
- (6x³ - 12x²)
12x² + 0x + 0
- (12x² - 24x)
24x + 0
- (24x - 48)
48
8. The quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.
Therefore, when the polynomial x⁵ + x³ - 5 is divided by x - 2, the quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.
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Julián gasta 2/5 de sus ahorros en el viaje “fin de curso” y el 25% de ellos en unos patines.
a) Si los ahorros de Julián son 140 € ¿cuánto gasta en el viaje “fin de curso”?
b) ¿Y cuánto le cuestan los patines?
c) ¿Cuántos euros le quedan a Julián?
Answers
The Julián has 0.84 euros left after making these purchases.
Given that Julián spends 2/5 of his savings on a school trip, and 25% of his savings on skates. The question is asking us to find out how much the skates cost and how much money he has left after making these purchases. Let's solve this problem step-by-step.
Part (a) is already solved as we know that Julián spends 2/5 of his savings on a school trip and 25% of his savings on skates.
Part (b) To determine how much the skates cost, we need to first find out what percentage of his savings he spent on skates. Since he already spent 2/5 of his savings, that means he has 3/5 left.
And since he spent 25% of his total savings on skates, we can set up an equation as follows:
0.25(x) = 3/5where x is his total savings.
Cross-multiplying: 0.25(x) * 5 = 3x1.25x = 3x = 3/1.25x ≈ 2.4So, his total savings would be around 2.4 euros.
Therefore, the cost of the skates is 0.25(2.4) = 0.6 euros.Part (c) To find out how much money he has left, we subtract the cost of the school trip and the skates from his total savings:
Total savings - School trip - Skates
= Money left2.4 - (2/5)(2.4) - 0.6
= Money left2.4 - 0.96 - 0.6
= Money left0.84 euros
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How to calculate the ground bearing pressure under the crawler track of crawler crane?
Example: During lifting the pressure on the track is 85ton/m2.
Answers
Answer:
To calculate the ground bearing pressure under the crawler track of a crawler crane, you need to know the following information:
The weight of the crane (including the weight of the counterweight if present)
The maximum load capacity of the crane
The number of tracks on the crane
The track width of the crane
The length of the track contact area
Once you have this information, you can use the following formula to calculate the ground-bearing pressure:
Ground Bearing Pressure = (Crane Weight + Maximum Load Capacity) / (Number of Tracks x Track Width x Length of Track Contact Area)
For example, if a crawler crane weighs 50 tons and has a maximum load capacity of 100 tons, and it has two tracks with a track width of 1 meter and a length of the track contact area of 2 meters, the ground bearing pressure would be:
Ground Bearing Pressure = (50 + 100) / (2 x 1 x 2) = 75 tons/m2
If the lifting pressure on the track during operation is 85 tons/m2, the crane should not be used in that area as it will exceed the maximum safe ground bearing pressure. Also for the example, the answer is 2.1765 m².
Step-by-step explanation:
To calculate the ground bearing pressure under the crawler track of a crawler crane, divide the weight exerted by the crane by the surface area of the track in contact with the ground. Use the given pressure value to determine the weight and then divide by the surface area.
Explanation:To calculate the ground bearing pressure under the crawler track of a crawler crane, you need to divide the total weight exerted by the crane by the surface area of the track that is in contact with the ground. Given that the pressure during lifting is 85 tons/m2, you can use this value to determine the weight exerted by the crane. Divide the weight by the surface area to find the ground bearing pressure.
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Chris placed $7,400 in a savings account which compounds interest annually at a rate of 5.7%. How much will he have in the account after 4 years?
Answers
Answer:$9237.02
Step-by-step explanation:
A = p(1+r/n)^nt
A = 7400 (1 + 0.057)^4
A = 7400(1.057)^4
A = 9237.02
Do not add the .02 at the end of this answer
Conrad paid $52.26 for a pair of shoes. Michelle paid $3.89 more for a pair of shoes than Conrad paid for his.
Answers
Answer:Michelle paid $56.15 for her shoes
Step-by-step explanation:
Answer:Michelle paid $56.15 for her shoes
Step-by-step explanation:
Since Michelle paid $3.89 more for her shoes compared to Conrad, who paid $52.26. This means you have to add $3.89 to $52.26.
$3.89+$52.25= $56.15
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I dont get this question equation
y=0.5 (6) - 4
I know that 0.5 is equivalent to 1/2 but I just don’t get this question
Answers
To solve the equation, you first need to simplify 0.5(6) to get 3, since 0.5 is equivalent to 1/2 and multiplying 6 by 1/2 gives you 3. So the equation becomes:
y = 3 - 4
Next, you need to subtract 4 from 3 to get -1. So the solution to the equation is:
y = -1
Therefore, when the value of the independent variable is 6, the value of the dependent variable is -1.
Answer
\(\pink\sf{y=-1}\)
Step-by-step explanation
I'm assuming that this exercise is asking us to simplify the equation \(\sf{y=0.5(6)-4}\).
We know that 0.5 (6) means 0.5 multiplied by 6. That is the same as 6 divided by 2, which is 3:
\(\sf{y=3-4}\)
And now we just simplify the last part:
\(\sf{y=-1}\)
∴ answer: y = -1
can someone help me plz?!
Answers
Find all solutions of the equation in the interval [0, 2). (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)
Answers
First, we will put all the expressions on the same side:
\(sinx=cosx\)We know:
\(sinx=cos(\frac{\pi}{2}-x)\)And:
\(cosx=cosy\)so x can be:
\(x=y+2k\pi\)or,
\(x=-y+2\pi k\)We have:
\(cosx=cos(\frac{\pi}{2}-x)\)\(x=\frac{\pi}{2}-x+2k\pi\)and it can be:
\(x+x=\frac{\pi}{2}+2k\pi\)The second equation:
\(x=-(\frac{\pi}{2}-x)+2k\pi\)Then,
\(x-x=-\frac{\pi}{2}+2k\pi\)This is the second equation, but x - x = 0, so we use the first equation obtained:
\(2x=\frac{\pi}{2}+2k\pi\)\(x=\frac{\pi}{4}+k\pi\)Where k is a number belonging to Z.
Alicia sews costumesfor a school play.She takes an average of 86 minutes to sew each costume.How long would she take to sew 16 of these costumes
Answers
Answer:
1376 minutes
Step-by-step explanation:
Alicia sews costumes for schools
She takes 86 minutes to sew one costume
Therefore the time taken to sew 16 costumes can be calculated as follows
86 mins= 1 costume
x= 16 costume
Cross multiply
x= 86×16
= 1376 minutes
The local government is concerned with the population of a new predatory fish, the tiger gar, which was first observed in Lake Richmond about 5 years ago. The following table shows the approximate number of tiger gars living in the lake since 2016:
2016 2017 2018 2019 2020 2021
322 399 507 618 785 975
Using the TI-nspire calculator, write an exponential function that models the population of tiger gar in the lake. (Round all numbers to the nearest hundredth.)
y=blank(blank)x
Answers
The exponential function that models the population of tiger gar in the lake is given as follows:
\(y = 322.63(1.25)^x\)
How to define an exponential function?An exponential function has the definition presented as follows:
\(y = ab^x\)
In which the parameters are given as follows:
a is the value of y when x = 0.b is the rate of change.Considering x as the number of years since 2016, the points are given as follows:
(0, 322), (1, 399), (2, 507), (3, 618), (4, 785), (5, 957).
Inserting these points into an exponential regression calculator, the equation is given as follows:
\(y = 322.63(1.25)^x\)
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Write the decimal number in standard form.
Twenty-three ten-thousandths
Answers
Answer:
0.0023
Step-by-step explanation:
Attached is a filled-in place value chart with the info for answering this question and a blank one for any further questions!
Hope this Helps! :)
If you have any further questions, leave them in this answers comments and I will try my best to answer them!
-SGO
Solve using tangent and cosine
Answers
The value of side length x in diagram a) is 4.3mm and side length x in diagram b) is 309.7 m.
What are the sides of the triangle labelled x?The figures in the image are right triangles.
A)
angle D = 17 degree
Adjacent to angle D = 14 mm
Opposite to angle D = x
To solve for the missing side length x, we use the trigonometric ratio.
Note that: tangent = opposite / adjacent
Hence:
tan( 17 ) = x/14
x = tan( 17 ) × 14
x = 4.3mm
B)
angle Z = 82 degree
Adjacent to angle Z = 43.1 m
Hypotenuse = x
Using trigonometric ratio,
cosine = adjacent / hypotenuse
cos( 82 ) = 43.1 / x
x = 43.1 / cos( 82 )
x = 309.7 m
Therefore, the measure of x is 309.7 meters.
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There are 18 finalists in a singing competition. The top four singers receive prizes. How many ways can the singers finish first through fourth?
Answers
There are 73,440 ways can the singers finish first through fourth.
What is permutation?A way, especially one of several possible variations, in which a set or number of things can be ordered or arranged.
Given that, There are 18 finalists in a singing competition. The top four singers receive prizes.
In this case, the order is required, so we'll use permutation here. You need to pick 4 out of 18.
\(^{n} P_{r}\) = n!/(n-r)!
n = 18 and r = 4
18P4 = 18!/(18-4)!
= 18!/14!
= 73,440
Hence, there are 73,440 ways possible.
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31-+=16
28+b=50
33+c=54
52-n+=24
Answers
The solution to the equations are b = 15, b = 22, c = 21 and n = 28
How to determine the solution to the equationsFrom the question, we have the following equations that can be used in our computation:
31 - b = 16
28 + b = 50
33 + c = 54
52 - n = 24
Next, we collect the like terms in each of the equation
This gives
b = 31 - 16
b = 50 - 28
c = 54 - 33
n = 52 - 24
Lastly, we evaluate the like terms
b = 15
b = 22
c = 21
n = 28
The above are the solutions to the equations
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Question
Solve the following equations:
31 - b = 16
28 + b = 50
33 + c = 54
52 - n = 24
What is the length of the missing side?
Answers
The length of missing side is 39.
What is define by Pythagoras theorem?Pythagoras theorem is a mathematical statement that states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the two other sides (the legs).
It can be expressed as a2 + b2 = c2, where a and b are the two legs of the triangle and c is the hypotenuse. The theorem is named after the ancient Greek mathematician Pythagoras, who is believed to have discovered it.
Pythagoras theorem is an important concept in geometry, and is used to calculate the length of the hypotenuse in a right triangle when the lengths of the other two sides are known.
It can also be used to determine the lengths of the other two sides when the length of the hypotenuse is known. In addition, it can be used to find the angles of a right triangle when the lengths of the sides are known.
Pythagoras theorem has many applications in everyday life. For example, it can be used to calculate the height of a building, or the distance between two points.
It can also be used in carpentry, engineering, and architecture to measure distances and angles. In addition, it can be used in trigonometry to find the values of trigonometric functions.
Finally, it can be used in navigation to calculate distances and angles.
Let c be the length of missing side,
According to Pythagoras theorem,
a² + b² = c²
36² + 15² = c²
c = √1521
c = 39
So, the length of missing side is 39.
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100 Points! Geometry question. Photo attached. Only looking for an answer to B. Please show as much work as possible. Thank you!
Answers
Answer: Read the solution
Step-by-step explanation:
A. For diagram A, triangles ANC and BDE are similar. Thus, we can use similarity ratios to find the length of AC. (x+1)/12 = (x+5)/15. 15x+15=12x+60. Thus 3x=45, and x=15. Since we need to find AC, AC = 15+1 = 16.
B. For diagram B, triangles SRT and VUT are similar. Again, using similarity ratios, (4x-1)/14=(x+2)/6 or 14x+28=24x-6. 10x=34, x=3.4.
I rent a gym for $150 for 30 students. Another time I rent the gym for $350 for 70 students. What is my rate per student?
Answers
Answer:
The rate is 5 dollars per student.
Step-by-step explanation:
The rate per student can be found with \(\frac{dollars}{student}\):
\(\frac{150dollars}{30student}=5\frac{dollars}{student}\\\\\frac{350dollars}{70student}=5\frac{dollars}{student}\)
The rate is 5 dollars per student.
The segments shown below could form a triangle. True B. False
Answers
It won’t be a Prefect Triangle but it still is one
(sorry my drawing is bad)
To indirectly measure the distance across a lake, Bilquis makes use of a couple
landmarks at points R and S. She measures QU, US, and TU as marked. Find the
distance across the lake (RS), rounding your answer to the nearest hundredth of a
meter.
Answers
The measure of distance RS, if The sides QU = 140 m, US = 115 m, TU = 104.55 m, rounding to the nearest hundredth of a meter, is 200 m.
What is the triangle?Triangles are basic three-sided polygons with three internal angles. It is one of the basic geometric shapes, symbolized by the symbol, and has three vertex connections.
Given:
The sides QU = 140 m, US = 115 m, TU = 104.55 m
As you can see, the triangle QRS and triangle QTU are similar, thus the ratio of their sides will be equal,
QU / QS = TU / RS
140 / 140 + 115 = 104.55 / RS
140 / 255 = 104.55 \ RS
RS = 104.55 × 255 / 140
RS = 190.43 or 200 m
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Answer: 190.43m
Step-by-step explanation:
In Photo
What is the area of the regular octagon shown below?
20.52
17
A. 1395 sq. units
B. 2791 sq. units
C. 2442 sq. units
D. 1221 sq. units
Answers
Answer:
C
Step-by-step explanation:
The area of the octagon is 1395 square units option (A) 1395 square units is correct.
What is a regular polygon?A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.
We have:
Octagon showed in the picture:
The area of the octagon = 2(1 + √2)a²
a is the side length.
a = 17 units
The area of the octagon = 2(1 + √2)(17)²
The area of the octagon = 1395.4 ≈ 1395 square units
Thus, the area of the octagon is 1395 square units option (A) 1395 square units is correct.
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6TH GRADE! HELP! My son was out with C0VID and has a literal mountain of make-up work. I am trying to help him the best I can, but apparently, I don't remember math concepts at all.
**Please see the photo attached of the several worksheets he has due and of which-- I am of no help in trying to explain to him... ***where possible/needed please show work so I can try to understand the concepts and then explain them to him, too.
Thank you so much! P.S. I am awarding all of the points I have over several questions with worksheets attached to whoever will help me with my desperate plea ... thank you in advance! <3
Answers
Answer:
12. -19
14. 20
15. 311
4. 25%
7. 2 to the 3rd power × 3 × 5
11. 1.5
10. 30
9.115.75
6. -65
if you need help you can join me on facetime im a tutor for grades 1 to 8th i will explain more ok
https://me et.go ogle.com/tzi-vauu-qyo
Step-by-step explanation:
Find the area of the figure below.
Enter the answer as square inches.
Answers
Answer:
42
Step-by-step explanation:
Rectangle: A = 6 x 5 = 30
Triangle: A = 1/2(6 x 4) = 12
Area of figure: 30 + 12 = 42
HELP ME OUT PLS!!!!!!!!!!!!
2) Find the lateral surface area of the rectangular prism in centimeters.
A) 96 cm2
B) 108 cm2
C) 126 cm2
D) 142 cm2
Answers
Answer:
126 happy to help
Step-by-step explanation:
6 to the 3rd power ÷ 4 + 2 x 9(32 x 8 – 17 x 4).
HELP
Answers
Answer:
6 to the 3rd power ÷ 4 + 2 ×9(256-17×4)
6 to the 3rd power ÷ 4 + 2 ×9(256-68)
6 to the 3rd power ÷ 4 + 2 ×9×188
216 ÷ 4 + 2 × 1692
216 ÷ 4 + 3384
54 + 3384
=3438
1a. Model the periodic motion of the horses using an
equation and a graph.
Horse Equation: Use function notation in degrees. Your
function will graph below
Answers
The amount of time it takes the horse to complete a full cycle of motion is known as the period of the motion and can be calculated as follows:
T = 2π/ω.
What is the explanation for the above response?Let's assume that a straightforward harmonic motion can be used to simulate the horse's movements. The simple harmonic motion equation is:
y = A sin(ωt + φ)
where:
The deviation from equilibrium is represented by the number y.
The maximum displacement's amplitude is A.
The angular frequency is equal to two times the frequency ω.
It's time t
The phase angle is φ
The equation can be written as follows, assuming that the horse is moving vertically and that its highest point corresponds to y = 0.
y = A sin(ωt)
where is the angular frequency and A is the motion's amplitude.
On a graph, where the horizontal axis denotes time and the vertical axis denotes displacement, we can draw this function as a sine wave. The
amount of time it takes the horse to complete a full cycle of motion is known as the period of the motion and can be calculated as follows:
T = 2π/ω
We need to know the duration of the horse's motion in order to predict when Ivan will have another chance to make a flawless shot. It's challenging to determine the period precisely in the absence of more details.
You can name the graph of the carousel equation θ = A cos(ωt) as follows:
The time, t, is displayed on the x-axis as seconds.
The angular position from the midline, θ, expressed in degrees, is shown on the y-axis.
The horizontal axis at θ = 0 degrees is the midline.
The largest angle of departure from the midline, or the distance between the wave's crest (highest point) or trough (lowest point), is known as the amplitude, or A.
The interval between two consecutive wave crests or troughs is known as the period, or T, which is the length of time it takes for one full cycle of motion.
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If triangle ABC is reflected across the line y = x, are the pre-image and image congruent? Why, or why not?
OYes, distance and angle measure are preserved
OYes, angle measure is preserved and distance is not
O No, distance is preserved but angle measure is not
O No, neither distance nor angle measure are preserved
Answers
The correct answer is: O Yes, distance and angle measure are preserved.
When a triangle ABC is reflected across the line y = x, the pre-image and image are congruent.
This is because the line y = x is the perpendicular bisector of the segment joining each corresponding point of the pre-image and image.
Reflection across the line y = x is a type of transformation known as an isometry, which preserves both distance and angle measure.
Here's why:
Distance preservation:
When a point is reflected across the line y = x, the distance between the original point and its reflection remains the same.
This holds true for all corresponding points of the triangle.
Therefore, the distance between any two corresponding points in the pre-image and image triangle will be equal, resulting in distance preservation.
Angle preservation: When a line segment is reflected across the line y = x, the angle between the line segment and the line y = x is preserved. This means that the corresponding angles in the pre-image and image triangle will be congruent.
Since both distance and angle measure are preserved during reflection across the line y = x, the pre-image and image triangles are congruent.
It's important to note that congruence under reflection across a line holds only when the line of reflection is the same for both the pre-image and image.
If the line of reflection were different, the triangles would not be congruent.
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