The horizontal asymptotes of the function is y = 0 and the y-intercepts is (0, 1).
What is graph of exponential functionAn exponential graph is a curve that represents an exponential function. An exponential graph is a curve that has a horizontal asymptote and it either has an increasing slope or a decreasing slope. i.e., it starts as a horizontal line and then it first increases/decreases slowly and then the growth/decay becomes rapid.
In this problem, the graph of the function f(x) = (1/4)ˣ is attached below the question and the characteristics of the graph are;
1. The domain of the function is {x|x ∈ R}
2. The range of the function is {y|y > 0}
3. The horizontal asymptotes is y = 0
4. The x-intercepts does not exists
5. The y-intercepts are (0, 1)
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Select all the shapes that are cross sections of a cylinder.
A line
B oval
C triangle
D rectangle
E circle
Step-by-step explanation:
only the circle
as cylinder is neither oval nor triangle not a rectangle..
so cylinder has circle as the cross section
Answer:
This is for a different question but hope this helps too!
Step-by-step explanation:
Mia hired a moving company. The company charged $500 or its services, and Mia gives the movers a 16% tip.
Answer:
The company charged $500 for its services,and Mia gives the movers a 16% tip. Now, we can add the tip amount to the cost of the service to find the total amount Mia paid: Total amount = Cost of service + Tip amount = $500 + $80 = $580
Step-by-step explanation:
My little sister’s homework and the stuff I’ve put is wrong
The area of the rectangle is (14 + 1/3) square yards.
How to get the area of the rectangle?We know that for a rectangle of length L and width W, the area is:
A = L*W
Here we know that:
L = (4 + 2/3) yards.
W = (3 + 1/4) yards.
We just need to take the product between these two numbers, we will get:
area = (4 + 2/3)* (3 + 1/4) yd²
Expanding the product:
(4 + 2/3)* (3 + 1/4) yd² = [ 4*3 + 4*(1/4) + (2/3)*3 + (2/3)*(1/4)] yd²
= [ 12 + 1 + 2 + 2/6] yd²
= (14 + 1/3) yd²
That is the area of the rectangle.
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The original cost of a piano is $19,100, and it is on a sale for 19% off its original price. If the total cost includes a 5% sales tax, the total cost of the piano is ____________.
Answer: $16,244.55
Step-by-step explanation: Multiply $19,100 by .19 to find the discount. Then subtract that number from the original to find the discounted price. Then multiply the discounted price by .5 to find the tax. Add the tax to the discounted price to find the discounted taxed price. This is the final price and is $16,244.55
Find the length of the leg x. Enter the exact value, not a decimal approximation.
Answer:
x = 2√13.
Step-by-step explanation:
Using the Pythagoras theorem:
14^2 = x^2 + 12^2
x^2 = 14^2 - 12^2
x^2 = (14 + 12)(14 - 12) = 52
x = √52
x = √4*√13
x = 2√13.
1. A boat drifted 15 m out into the water off Ocean Beach, where the shore drops off
at 4°. Can Brooke walk out to bring the boat back without getting water over the
tops of her hip boots which are 1 m tall? Explain your reasoning.
2. are the engineer who designed a new branch for the Mountain Railroad
Company. You sent your plans calling for 100 km of track up Bixby Mountain
taking trains 99 km east of the city of Bixby, to the City Council for approval.
But before the Council got around to looking at your plans, they passed a
regulation that no railroad tracks could go up their mountain at an angle of more
than 8°. Will your plans be approved? Why or why not?
3. The residents of Quietville, a little town 9 km from the San Francisco Airport,
insist that any plane flying over their town disturbs them if it is lower than 3 km.
Will a plane that took off at a 21° angle disturb them? Why?
4. You are an air pollution inspector, checking that factories in your city have
chimneys at least 65 m tall. Standing 50 m from the Ore Smelting Company’s
chimney, you find the angle from the ground to the chimney top is 51°. Can the
company use that chimney legally? Explain.
6. River City is offering a $3 million contract to build a bridge between points A and
C on opposite sides of City River. Along the side of the river that makes a right
angle with the line of the bridge at point C, a surveyor walked 72 m to point B
where she measured the 55° angle form B to A. Long Company will build the
bridge for $3 million if it is not more than 103 m from point A to point C. Short
Company agrees to build it if it is no more the 100 m. Which contracting firm
will be awarded the contract? Why?
7. An elderly woman is trapped 17 m up in her burning home. Can a fireman reach
her on his 26 m ladder if it has to make a 43° angle in order to clear the woman’s
greenhouse under her window? Explain your reasoning.
8. A ski lift 1000 m long goes at a 29° angle up Mt. Gentleslope. Does the lift take
skiers all of the way up to the top of the mountain where there is a snack bar at
the 500 m elevation? Explain your reasoning.
9. Mr. Johnson is a jet pilot who just moved with his family to Suburbia, 26 km
from Toledo Airport. His seven-year-old son, Eric, would like to see his father’s
plane as it flies over their new home for the first time today, but there is a layer of
clouds 5 km above the house. Will Eric be able to see his Dad’s plane if it takes
off at a 9° angle? Explain.
10.You are the cost control expert for an engineering firm designing a giant
television tower having several metal braces, each built in 21 m from the base at a
73° angle with the ground. Part of your job is to decide which standard length of
metal brace wastes less metal: the brace that comes 71 m long, or the one that is
73 m long. What is your decision?
The correct responses found using trigonometric ratios are as follows;
Brooke's cannot bring the boat back without getting water over her boots.The plan will not be approvedThe plane will not disturbThe company can not use the chimney legallyThe Long company will build the bridgeThe fireman can reach her.The lift does not take the skiers up to the bar.Eric will be able to see his Dad's plane.The 73 m. braceHow can trigonometric ratios be used to find the right responses?1. The depth of the water = 15 × tan(4°) = 1.049 m
The height of Brooke's boot = 1 m
Therefore;
Brooke's cannot bring the boat back without getting water over her boots.2. The angle of elevation of the plan = arccos(99/100) ≈ 8.110°
Given that the angle of elevation the plan, 8.110°, is more than 8° limit, we find;
The plan will not be approved.3. Height reached by the plane = 9 × tan(21°) = 3.455
Therefore;
The plane will not disturb.4. Height of the chimney at the factory = 50 × tan(51°) = 61.745
The minimum chimney height = 65 m.
Therefore;
The company can not use the chimney legally.6. Length of the bridge = 72 × tan(55°) ≈ 102.83
Therefore;
The Long company will build the bridge because it is longer than 100 m. but not more than 103 m.7. Height reached by the ladder = 26 × sin(43°) ≈ 17.7
Therefore;
The fireman can reach her.8. Height reached by the ski lift = 1000 × sin(29°) ≈ 484.8
Therefore;
The lift does not take the skiers up to the bar.9. Height reached by plane = 26 × tan(9°) ≈ 4.12
The plane flies under the cloud therefore;
Eric will be able to see his Dad's plane.10. Length required for the metal brace = 21/(cos(73°)) ≈ 71.83
Therefore;
The brace that wastes less metal is the 73 m. brace, because the 71 m. brace is not long enough and two braces will be required.Learn more about trigonometric ratios here:
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6. Evaluate f(-1).
7. What value of a will make the equation f(a) = 6 true?
someone please help lol I have a test <3
Answer:
6. -f 7. f= 6/8
Step-by-step explanation:
Hope dis helps!!
Evaluate(0.1)³ Solve (1/10)⁴
We can express the number 0.1 as the quotient 1/10, then we get:
\((0.1)^3=(\frac{1}{10})^3\)With quotients, we can distribute the power, and raise both the numerator and the denominator, like this:
\((\frac{1}{10})^3=\frac{1^3}{10^3}\)no matter what is the value of the power, every time you raise 1 to something, you get 1, then we get:
\(\frac{1^3}{10^3}=\frac{1}{10^3}\)In this case, we have 10^3 in the denominator, this is the same as multiplying 10 3 times, like this:
\(\frac{1}{10^3}=\frac{1}{10\times10\times10}=\frac{1}{100\times10}=\frac{1}{1000}\)Then:
\((0.1)^3=\frac{1}{1000}\)Similarly, with (1/10)^4:
\((\frac{1}{10})^4=\frac{1^4}{10^4}=\frac{1}{10^4}=\frac{1}{10\times10\times10\times10}=\frac{1}{10000}\)You have four cards: Jack, Queen, King, and Ace. What is the probability of drawing a face card, not replacing it, and then choosing another face card?
Write in fraction form!
Step-by-step explanation:
if I understand you correctly, then we have the 4 described cards. 3 of these 4 cards are face cards (Jack, Queen, King).
a probability is always desired cases over totally possible cases.
so, for the first pull we have a probability of
3/4 = 0.75
we have 4 total possibilities, and 3 of them are the desired outcome.
for the second pull we have then only 3 cards left (we did not replace the first pulled card). and because the first pulled card was in this scenario a face card, 2 out of these 3 cards are face cards.
so, the probability to pull a face card here is
2/3 = 0.66666...
when we combine these 2 events into one connected event (we are creating event 1 AND event 2), we multiply the probabilities, giving us
3/4 × 2/3 = 6/12 = 1/2 = 0.5
Evaluate (10 – 4i) ÷ (5 + i).
Fifty-four twelfths minus fifteen twelfths i
Twenty-three twelfths minus fifteen twelfths i
Fifty-four thirteenths minus fifteen thirteenths i
Twenty-three thirteenths minus fifteen thirteenths i
The quotient of the given complex number is 7/13 - 15/13i
Given the division expression
(10 – 4i) ÷ (5 + i).
This can also be expressed as:
10-4i/5+i
On rationalizing, we will have:
10-4i/5+i * 5-i/5-i
50-10i-20i-4(-1)/25-(-1)
50-30i+4/26
54-30i/26
27/13 - 15/13i
Hence the quotient of the given complex number is 7/13 - 15/13i
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Answer: D \(\frac{23}{13} - \frac{15}{13} i\)
Step-by-step explanation:
ethan buys vidio games for 39.99 sale on 20% how much ethan payed
The amount that Ethan pays for the video game is 47.988.
How to calculate the value?From the information illustrated, it should be noted that it was stated that Ethan buys video games for 39.99 sale on 20% tax.
In this case, the amount that he will pay will be:
= Original amount + Tax
= 39.99 + (20% × 39.99)
= 39.99 + 7.998
= 47.988
The amount is 47.988.
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Complete question
Ethan buys vidio games for 39.99 sale on 20% tax how much ethan payed
find the line of best fit for the set of data
The line of best fit for the set of data in this problem is given as follows:
y = 0.613x + 4.142.
How to find the equation of linear regression?To find the regression equation, which is also called called line of best fit or least squares regression equation, we need to insert the points (x,y) of the data-set in the calculator.
The points for this problem are given as follows:
(-2, 2.9), (-3.5, 2), (1.4, 4.8), (-4.2, 1.5), (0,4), (2.8, 6), (-1.5, 3.5).
Inserting these points into a calculator, the line of best fit is given as follows:
y = 0.613x + 4.142.
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Choose an equation that would be used to solve
0 = -x^2 + 10x -8
(x+25)^2 = -8
(x-5)^2 = 17
(x-10)^2 = 25
The equation that would be used to solve the function is (x+5)^2 = 17
Given the quadratic equation -x^2 + 10x -8 = 0
This can also be written as:
-x^2 + 10x -8 = 0
x^2 - 10x + 8 = 0
x^ 2- 10x = -8
The coefficient of x is -10
Half of the coefficient of -10 = -10/2 = -5
Square the result = 5^2 = 25
Add 25 to both sides of the equation
x^2 - 10x + 25 = -8 + 25
x^2 - 10x + 25 = 17
(x+5)^2 = 17
Hence the equation that would be used to solve the function is (x+5)^2 = 17
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What is the equation in point slope form of the line that is perpendicular to the given line and passes through the point(2,5)?
Answer:
Step-by-step explanation:
To find the equation of a line that is perpendicular to a given line and passes through a specific point, we need to follow a few steps:
Find the slope of the provided line.
The point-slope form of a line is given by: y - y1 = m(x - x1), where (x1, y1) represents the given point.
Substituting the values, the equation of the perpendicular line becomes:
y - 5 = (-1/m)(x - 2)
Simplifying the equation further, we can rewrite it in point-slope form:
y - 5 = (-1/m)x + (2/m)
Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42
The values of x are 13 and -1. Option A
How to factorize the expressionAlgebraic expressions are defined as expressions that have terms, variables, coefficients, constants and factors.
They are made up of arithmetic operations.
Given that;
(x - 7)²= 36
expand the bracket
x² - 7x - 7x + 49 = 36
collect like terns
x² - 14x + 49 = 36
x² - 14x + 13
Factorize the expression
(x² - 13x) + (x - 13)
Factor the common terms
x(x - 13) + 1(x - 13)
x = 13. x = -1
Hence, the values are 13 and -1
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so I need help pls!
(3 1/2 + 17 1/5) - (11 3/5 + 2 1/3)
Answer:
The answer rounded would be 6.7 but it not rounded would be 6.766
Step-by-step explanation:
Answer:
6 23/30 or \(6 \frac{23}{30}\)
Let me know if it's wrong and I'll fix it! ^^
Given that an investment into a college fund is represented by A=12,000e^(0.023*12) , match each value to the correct description of the value in the context of the question. 12,000 The amount of money in the account at the end of the time given. e
The initial amount of money invested into the college fund 0.023
The interest rate.
The interest is compounded continuously.
The amount of years the money is invested.
As per compound interest, the account balance at the end of 12 years is approximately $17,217.
Compound interest is an important concept in finance and investing, and it plays a critical role in understanding how your money can grow over time. When you invest money, your initial investment earns interest, and over time, that interest can also earn interest, resulting in exponential growth.
In the context of this question, the investment into a college fund is represented by the equation
=> \(A = 12,000e^{0.023*12}\)
where A is the amount of money in the account at the end of the time given. Let's break down the different components of this equation and see how they relate to compound interest.
First, we have the initial investment, which is not explicitly given in the equation, but we can infer that it is 12,000. This is the amount of money that is initially invested into the college fund.
Next, we have the interest rate, which is 0.023.
Finally, we have the amount of time that the money is invested, which is 12 years in this case. The longer the money is invested, the more time there is for compound interest to work its magic and grow the account balance.
Putting all of these components together, we can use the equation
=> \(A = 12,000e^{0.023*12}\)
to calculate the amount of money in the college fund at the end of 12 years.
By plugging in the values for the initial investment, interest rate, and time, we can see that the account balance at the end of 12 years is approximately $17,217.
This represents the power of compound interest and how it can turn a modest initial investment into a substantial sum over time.
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Use the scale factor to find the area of the enlarged figure. Explain your steps.
A small rectangle has a length of 8 and width of 4. A large rectangle has a length of 25.6 and width of a.
9514 1404 393
Answer:
327.68 units^2
Step-by-step explanation:
The area of the small figure is ...
area = length · width
area = (8)(4) = 32 . . . . square units
The scale factor is ...
scale factor = large length / small length = 25.6/8 = 3.2
The area of the larger rectangle will be the small rectangle area multiplied by the square of the scale factor:
(32 units^2)(3.2^2) = 327.68 units^2
_____
Additional comment
We note the width is half the length, so we could figure the larger rectangle's width at 25.6/2 = 12.8 units. Then its area would be
length · width = (25.6 units)(12.8 units) = 327.68 units^2
This seems easier to me, but is not the method required by the problem statement.
Answer:
The scale factor of the enlargement is 3.2. Square the scale factor to get 10.24. Find the area of the original figure, which is 32. Multiply 32 and 10.24 to get the area of the enlarged figure, which is 327.68.
Step-by-step explanation:
This is the sample response but I would use the other pearsons answer because it is NOT the sample response.
Have a great day!
W-9.96=3.24 solve for w
Answer:
W=13.2
Step-by-step explanation:
W-9.96=3.24
Add both sides by 9.96
W=13.2
please help.
definitions: 1. definition of right triangle
2. definition of isosceles TrianglesReflexive
3. HL
4. definition of perpendicular
5. CPCTC
6. reflexive
From the two column proof below, we have seen ∠BAC ≅ ∠DAC by CPCTC
How to solve two column proof problems?The two column proof to show that ∠BAC ≅ ∠DAC is as follows:
Statement 1: ΔABD is Isosceles with base BD, AC ⊥ BD
Reason 1: Given
Statement 2: AB ≅ AD
Reason 2: Definition of isosceles Triangles
Statement 3: ∠1 and ∠2 are right angles
Reason 3: Definition of perpendicular
Statement 4: AC ≅ AC
Reason 4: Reflexive Property
Statement 5: ΔABC and ΔADC are right triangles
Reason 5: Definition of right triangle
Statement 6: ΔABC ≅ ΔADC
Reason 6: HL Congruency
Statement 7: ∠BAC ≅ ∠DAC
Reason 7: CPCTC
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fill in the mission numbers to make the fractions equivalent. 1/2 and /8= 4/12 and /60= 2/3 and /12= 4/4 and /8=
To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:
1/2 and __/8
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:
1/2 and 4/8
Now, the fractions are equivalent.
---
4/12 and __/60
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:
4/12 and 20/60
Now, the fractions are equivalent.
---
2/3 and __/12
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:
2/3 and 8/12
Now, the fractions are equivalent.
---
4/4 and __/8
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:
4/4 and 8/8
Now, the fractions are equivalent.
person examines 10 roses; all of which are red, and concludes that all roses are red. What type of reasoning
Answer: Inductive reasoning.
Step-by-step explanation:
This is an example of inductive reasoning. Inductive reasoning means going from a specific observation (these 10 red roses) to a general conclusion ("all roses are red").
plz answer this with complete process plzzz I will give you brainlist ..........
Answer:
Step-by-step explanation:
Needs a picture to be solved, please put one.
Answer:
i know
Step-by-step explanation:
I know have a amazing day
20 POINTS PLEASE ANSWER QUICK
Solve the equation —1/6(12 + 18t) = 13 for t
Answer: t=-5
Step-by-step explanation:
Multiply by -6 on both sides to get rid of the -1/6
Subtract 12 on both sides
Divide 18 by -90 on the other side
\((-1/6(12+18t))(-6)=13(-6)\\12+18t=-78\\18t=-90\\\\t=-5\)
f(x) = -4/3 (-x+5)^3 +12
X Y
3 1.333
4 10.667
5 12
6 13.333
8 48
10-19+5 Regroup the integers and add and subtract
Answer:
-4.Step-by-step explanation:
Solve left to right →:
10 - 19 + 5= (10 - 19) + 5= -9 + 5= -4.Nothing else to say.
Your answer is -4.Answer:
-14 (I think - using bidmas)
Step-by-step explanation:
10-19+5
10-(19+5)
10-24
= -14
To evaluate whether customers enjoy the barista’s new smoothie, a restaurant manager surveys every other customer who orders the new smoothie. The manager determines that customers enjoy the new smoothie. Select all the statements that are true about the sampling method.
The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.
Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:
1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.
2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.
3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.
4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.
5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.
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I really need some heeeeeeeeeeeeeeeeeeeeeeelp 50 points
based on the smallest dragonboy
are we suppose to make a story or something
Answer:
This question makes 0 sense! how do i even answer?
Find the Value of Y.
The value of y in the triangle is 2√10 units.
How to find the side of similar triangle?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
The value of y can be found using the similar triangle ratios as follows:
Hence,
8 / y = y / 5
cross multiply
y² = 8 × 5
y²= 40
square root both sides of the equation
y = √40
Therefore,
y = 2√10 units
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2 3/4 of 500grams in step by step calculator
Answer:
To calculate 2 3/4 of 500 grams, follow these steps:
1. Convert the mixed number to an improper fraction:
2 3/4 = (2 x 4 + 3)/4 = 11/4
2. Multiply the improper fraction by 500:
11/4 x 500 = (11 x 500)/4 = 2,750/4
3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:
2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2
Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.
Step-by-step explanation: