What is the amplitude of y=3sin⁡(2x−1)+4?

Answers

Answer 1

Answer:

3

Step-by-step explanation:

Amplitude is the number in front of the sin or the number multiplied by the whole equation.  In this case its 3


Related Questions

Deena wants to buy a 2200 laptop, but she doesn't have the money. She decides to finance the purchase and will pay montly payments of 231.55 for a year. How much extra will Deena end up paying for the laptop becuase she financed it rather than paying for it all once.

Answers

Answer:

$578.6

Step-by-step explanation:

231.55 multiplied by 12 is 2778.6.

Subtract that by the amount that she could've paid in a whole you would get 578.6.

Find the area of a semi-circle with radius, r = 83cm.
Give your answer rounded to 1 DP.

Answers

A = (pi x r^2)/2
A = (6889 x pi)/2
A = 3444.5 x pi
A = 10.821.2

Kumar has $10.00 to spend. He decided to buy a candy bar for $1.75 and spend the rest on bags of chips. If each bag of chips costs $2.99, how many bags of chips can kumar buy ?

Answers

Answer:

2 bag of chips

Step-by-step explanation:

Total Money Kumar had = $10.00

Money spent on buying candy bar = $1.75

Money left with Kumar after buying candybar  can be obtained by subtracting

Money spent on buying candybar  from Total Money Kumar had.

Money left with Kumar after buying candybar  =  $10.00- $1.75 = $8.25.

It is given that rest of money( $8.25 as calculated) is spent on buying bag of chips.

cost of one bag of chips = $2.99

Let no of bag of chips  kumar can buy be x .

Therefore total money spent on buying x bag of chips  is $2.99 time no. of  bag of chips bought

Mathematically it can be expressed as

Total money spent on buying x bag of chips = $2.99 * x = $2.99 x

It is given that he can spent only $8.25 to buy bag of chips.

which means

$2.99 x = $8.25

=> x = 8.25/2.99 = 2.75

Thus he can buy  2.75 bag of chips.

But bag of chips can be only integral number as bag cannot be in fraction .

hence 2 bag of chips can bought which will cost 2*2.99=$ 5.98

Rest of the money will be left which will be 8.25 - 5.98 = $2.27

Answer:

8

Step-by-step explanation:

K.Brew sells a wide variety of outdoor equipment and clothing. The company sells both through mail order and via the internet. Random samples of sales receipts were studied for mail-order sales and internet sales, with the total purchase being recorded for each sale. A random sample of 18 sales receipts for mail-order sales results in a mean sale amount of $74.90 with a standard deviation of $21.75. A random sample of 9 sales receipts for internet sales results in a mean sale amount of $87.30 with a standard deviation of $19.75. Using this data, find the 95% confidence interval for the true mean difference between the mean amount of mail-order purchases and the mean amount of internet purchases. Assume that the population variances are not equal and that the two populations are normally distributed.

Step 1 of 3: Find the point estimate that should be used in constructing the confidence interval.

Step 2 of 3: Find the margin of error to be used in constructing the confidence interval. Round your answer to six decimal places.

Step 3 of 3: Construct the 95% confidence interval. Round your answers to two decimal places.

Answers

Answer:

Step-by-step explanation:

Step 1. The point estimate is the difference between the the mean amount of mail-order purchases and the mean amount of internet purchases. It becomes

74.9 - 87.3 = - 12.4

Step 2. The formula for determining margin of error is expressed aa

Margin of error = z√(s1²/n1 + s2²/n2)

Where

z = z score

s1 = sample standard deviation for data 1

s2 = sample standard deviation for data 2

n1 = number of samples in group 1

n2 = number of samples in group 2

For a 95% confidence interval, the z score is 1.96

From the information given,

s1 = 21.75

n1 = 18

s2 = 19.75

n2 = 9

z√(s1²/n1 + s2²/n2) = 1.96√(21.75²/18 + 19.75²/9) = 1.96 × 8.343

= 16.35

Step 3. Confidence interval = (x1 - x2) ± z√(s²/n1 + s2²/n2)

95% Confidence interval = - 12.4 ± 16.35

Apply distributive property to factor out the greatest common factor.
Explanation:44h-33 I need an answer?

Answers

Answer:11(4h-3)

Step-by-step explanation:

44h-33

11(4h-3)

What is 79(554)+5(746)?

Answers

Answer:

47496

Step-by-step explanation:

Answer: The answer is 47496

Step-by-step explanation:

If you multiply 79 x 554 =43766

Then you multiply 5 x 746= 3730

You add 43766+ 3730 = 47496

An architect is designing a triangular shaped plot of land. The base of the land is 100.8 ft and the height of the land is 96.3 ft. Find the available floor area of the building. Type your answer. Do not include a label, just the numbers.

Answers

Answer:4853.52

Step-by-step explanation:

base=100.8ft

Height=96.3ft

Area of =(base x height) ➗ 2

Area of =(100.8x96.3) ➗ 2

Area of =9707.04 ➗ 2

Area of =4853.52

A tree grows 20 percent taller every year after it is planted. The tree was 12 feet tall when planted. How tall will it be after 10 years? 74.3 feet 120 feet 144 feet 146.3 feet

Answers

Answer:

  74.3 feet

Step-by-step explanation:

Each year, the height is multiplied by 1 +20% = 1.20. After 10 years, the original height is multiplied by 1.20^10, so is ...

  (12 ft)1.20^10 ≈ (12 ft)(6.19174) ≈ 74.3 ft


What is the surface area of a hemisphere with radius 3? Round to the tenths.

Answers

Answer:

56.52

Step-by-step explanation:

Area of hemisphere = 2πr^2

Radius = 3

= 2×3.14×3×3

= 56.52

hope it helps!

please answer this correctly I have to finish this today as soon as possible


Estimate the measure of this angle within 10°.

Answers

Obtuse angle
maybe 130degrees

Which of the following shows the proper Order of a food chain?

Answers

Answer:

c) producers herbivores carnivores decomposers

Step-by-step explanation:

Producers are at the bottom of the food chain, plants are natural producers and provide food and nutrients to consumers. Herbivores nourish on plants and insects.  Predators prey on herbivores or other predators. Decomposers is When an animal dies, scavengers and decomposers break them down.

Answer:

The answer is option 3 .

Step-by-step explanation:

Producers produce its own food Herbivores eat only plants, feed on producersCarnivores eat both plants and animals, feed on herbivores Decomposer decompose the dead organism

e.g

Grass -> Zebra -> Hyena -> Mushroom / Fungi

Which best explains whether a triangle with side lengths 2 inches 5 inches in 4 inches is an acute triangle

Answers

Answer:

The Pythagorean Theorem is a helpful tool that best explains whether a triangle with side lengths 2 inches, 5 inches, and 4 inches is an acute triangle or an obtuse type of triangle. Under the Pythagorean Theorem, a certain triangle is an acute triangle if a^2 + b^2 is greater than c^2.

Step-by-step explanation:

im not sure if this helps but....

Triangle with side 2 in , 4 in and 5 in is an Obtuse angled triangle; it is not an Acute angles triangle.

How are triangles discriminated based on angles?

If all of three angles of a triangle are < 90° then triangle is acute.

If one of the angle is of 90°  then the triangle is right angled triangle.

If one of the angle is  > 90°  then triangle is called obtuse triangle.

How to identify if a triangle is acute, right angled or obtuse?

Let we have:

H = biggest side of the triangle

And let we get  A and B as rest of the two sides.

Then we get:

If A^2+B^2 > H^2  , then triangle is obtuse

Given:

Length of the sides of the triangle; 2 , 5 and 4inches

If a , b and c is sides of the triangle such that c is the longest side then;

1). if c² > a² + b² implies that triangle is Acute angled.

2). if c² = a² + b²  implies that triangle is Right angled.

3). if c² < a² + b²  implies that triangle is Obtuse angled.

We have, a = 2 in , b = 4 in  and c = 5 in

So, c² = 5² = 25

a² + b² = 2² + 4² = 4 + 16 = 20

therefore; c² > a² + b²

Therefore, Triangle with side 2 in , 4 in and 5 in is an Obtuse angled triangle. It is not an Acute angles triangle.

Learn more about the triangles;

https://brainly.com/question/2773823

#SPJ6

Uta invests an amount into a compound interest investment account that pays 6% a year. After six years, she withdraws her
total balance of $500. Using the formula A - P(1 + r), how much money did Uta initially invest?
$180.00
$320.00
$352.48
$471.70

Answers

Answer:

$352.48

Step-by-step explanation:

500 = P(1+6/100)^6

500 = P(1.141851912)

P = 500 / 1.1418519112 = 352.48

i need help with this problem x/56=7/8 Thank you

Answers

[tex] \dfrac{x}{56} = \dfrac{7}{8} \\ x = \dfrac{56 \times 7}{8} \\ x = 49[/tex]

The article Effect of Environmental Factors on Steel Plate Corrosion Under Marine Immersion Conditions (C. Soares. Y. Garbatov, and A. Zayed, Corrosion Engineering, Science and Technology, 2011 :524? 541 ) describes an experiment in which nine steel specimens were submerged in seawater at various temperatures, and the corrosion rates were measured. The result are presented in the following table (obtained by digitizing a graph).

Temperature (C) Corrosion (mm/y)
26.6 1.58
26.0 1.45
27.4 1.13
21.7 0.96
14.9 0.99
11.3 1.05
15.0 0.82

a. Construct a scatterplot of corrosion (y) versus temperature (x). Verify that a linear model is appropriate.
b. Compute the least-squares line for predicting corrosion from temperature.
c. Two steel specimens whose temperatures differ by 10◦ C are submerged in seawater. By how much would you predict their corrosion rates to differ?
d. Predict the corrosion rate for steel submerged in seawater at a temperature of 20◦ C.

Answers

Answer:

Check the explanation

Step-by-step explanation:

a) from the scatter plot in the attached image below, it appears that relationship is approximately linear

b) least square line: that =0.3940+0.0355x

c) for 10 C difference expected difference in corrosion rate =0.0355*10=0.355

d) for x=20 ; predicted temperature =0.3940+0.0355*20=1.1041

e) fitted values are:

X                      ŷ

26.600        1.3385

26.000        1.3172

27.400        1.3669

21.700         1.1645

14.900        0.9230

11.300          0.7952

15.000        0.9266

8.700          0.7029

8.200          0.6851

PLEASE HELP ME:)
(50points)
WILL MARK THE BRAINLIEST !!

Answers

Answer:

  3. L(15055) is the number of pages ...

  4. true

Step-by-step explanation:

3. The problem tells you that L( ) is a function of the number of words. (That means the number in parentheses in L( ) is a word count.) The first two answer choices describe the function as being of a number of pages, so are incorrect. The last answer choice matches the description of the function.

__

4. Compound interest represents a growth function. Account values in later years will be more than values in earlier years. So ...

  D(2) < D(7) is TRUE

Helppp.........!!!!!!

Answers

Answer:

84 centimeters of the width of the item in reality

Step-by-step explanation:

Let us plan out our steps, and solve for each:

1. Given the information, let us create a proportionality as such:

         1       =           14      ⇒   x - width of item in reality (cm)

         6                    x

2. Now let us cross multiply, and solve through simple algebra:

14 * 6 = x,

x = 84 centimeters of the width of the item in reality

X=84 have a nice day or night

Rewrite the expression 5(2x+1) using the Distributive Property

Answers

Answer:

10x+5

Step-by-step explanation:

5(2x+1)

Using distributive property, which is

A(B+C)=(A×B)+(A×C)

=(5×2x)+(5×1)

=10x+5

Hope it helps :)

9. The circumference of a circle is 601 cm. What is the diameter of the circle?
O 120 cm
90 cm
30 cm
60 cm​

Answers

Answer:191.4 cm

Step-by-step explanation:

Circumference=601 cm

π=3.14

Diameter=circumference ➗ π

Diameter=601 ➗ 3.14

Diameter=191.4 cm

A rectangular storage container is 15 feet long 12 feet wide and 8 feet high what is the surface area of the storage container

Answers

Answer:

1440 feet

Step-by-step explanation:

15 × 12 × 8 = 1440

Jen's test grades for this term are 85, 92, and 95. She wants to have a test average of at least 90 for this term, and she will have one more test. What is the lowest score that she can get to have a test average of at least 90?

Answers

Answer:

88 points

Step-by-step explanation:

If she has 85, 92, and 95, she has an average of 90 2/3. To get the lowest score, first do 272+90=362. 362/4=90.5. Next do 272+88, the next lowest even number. 272+88=360. 360/4=90.

Answer:

88 points

Step-by-step explanation:

Please solve this in a paper and send the answers with steps.
*marking as brainlist.

Answers

Answer: 2. 121 could be the dividend and 11 will be the quotient. 3) 35 could be the dividend and -5 could be the divisor.  

4) 256 could be the dividend and -16 would be the quotient. 5) 12 could be the divisor and 144 could be the dividend. 6) 17 could be the divisor and and 9 could be the quotient.

Step-by-step explanation:

2. 121/11= 11

3. 35/-5= -7

4.256/-16 =-16

5.144/12= 12

6.153/17=9

00:00
Hei has the element shown for his science experiment. How many kilograms of the material does he have?
(1.000 grams = 1 kilogram)
Copper
3,508 g
350.8 kilograms
35.08 kilograms
3.508 kilograms
0.3508 kilograms

Answers

Answer:

3.508 kilograms

Step-by-step explanation:

This question can be solved using a rule of three.

We have that each kilogram is 1000 grams. How many kilograms are there for 3508 grams?

1kg - 1000g

xkg - 3508g

[tex]1000x = 3508[/tex]

[tex]x = \frac{3508}{1000}[/tex]

[tex]x = 3.508[/tex]

So the correct answer is:

3.508 kilograms

In triangle DOC, cos(D) = 20/29. What is the value of tan(D)?

Answers

Answer:

[tex]tan(D) = \frac{21}{20}[/tex]

Step-by-step explanation:

Step(i):-

Given in triangle DOC

Cos(D) = 20/29

now

[tex]Sec(D) = \frac{1}{Cos(D)} = \frac{1}{\frac{20}{29} } = \frac{29}{20}[/tex]

We Know that trigonometry formulas

[tex]sec^{2}(D) -tan^{2} (D) =1[/tex]

[tex]tan^{2} (D) = sec^{2} (D) -1[/tex]

           = [tex](\frac{29}{20} )^{2} -1[/tex]

          = [tex]\frac{841 -400}{400} = \frac{441}{400}[/tex]

[tex]tan^2(D) = \frac{441}{400}[/tex]

[tex]tan(D) = \sqrt{\frac{441}{400} } = \frac{21}{20}[/tex]

[tex]tan(D) = \frac{21}{20}[/tex]

During Ashland High School basketball games, the snack bar sells both cheese and pepperoni pizza slices. Last night, the snack bar sold 143 slices of pizza. They sold 10 times as many pepperoni slices as cheese slices.

How many slices of cheese pizza did the snack bar sell last night?

slices of cheese pizza

Answers

Answer:

  13 slices of cheese pizza

Step-by-step explanation:

Consider grouping the slices so there are 10 pepperoni and 1 cheese in each group of 11. Then 143 slices represents 143/11 = 13 groups. Since there is 1 cheese slice in each group, ...

  13 slices of cheese pizza were sold

Convert the polar coordinates to rectangular form (√2,-π\4)

Answers

Answer:

(1, -1)

Step-by-step explanation:

To convert polar to rectangular coordinates, use these identities:

x = rcos(Ф)y = rsin(Ф)x² + y² = r²  

Here we were given the point [tex](\sqrt{2},-\frac{\pi}{4})[/tex] which is our (r, Ф) point

We can now plug these values into our x and y equations to convert to rectangular and find our (x, y) point

x = [tex](\sqrt{2} )cos(-\frac{\pi}{4} )= (\sqrt{2})(\frac{\sqrt{2} }{2})=\frac{2}{2}=1[/tex] y = [tex](\sqrt{2} )sin(-\frac{\pi}{4} )= (\sqrt{2})(-\frac{\sqrt{2} }{2})=-\frac{2}{2}=-1[/tex]

So our (x, y) point is (1, -1)

[tex](\sqrt{2},-\frac{\pi}{4}) = (1, -1)[/tex]

The owner of a bicycle store had a sale on bicycles (two-wheelers) and tricycles (three-wheelers). Each cycle had two pedals. When he counted the total number of pedals of the cycles, he got 50. When he counted the total number of wheels of the cycles, he got 64. Explain how you figured out how many tricycles were offered in the sale.

Answers

Let x represent number of bicycles and y represent number of tricycles.

We know that a bicycle has 2 pedals and a tricycle has 32 pedals as well.

We have been given that when the owner counted the total number of pedals of the cycles, he got 50. We can represent this information in an equation as:

[tex]2x+2y=50...(1)[/tex]

[tex]2x=50-2y...(1)[/tex]

We know that a bicycle has 2 wheels and a tricycle has 3 wheels.

We have been given that when the owner counted the total number of wheels of the cycles, he got 64. We can represent this information in an equation as:

[tex]2x+3y=64...(2)[/tex]

Upon substituting equation (1) in equation (2), we will get:

[tex]50-2y+3y=64[/tex]

[tex]50+y=64[/tex]

[tex]50-50+y=64-50[/tex]

[tex]y=14[/tex]

Therefore, 14 tricycles were offered in the sale.

For the past 50 days, daily sales of laundry detergent in a large grocery store have been recorded (to the nearest 10). Units sold Number of Times. 30 8 40 12 50 15 60 10 70 5 a). Determine the relative frequency for each number of units sold. Please show your work on EXCEL. b). Suppose that the following random numbers were obtained using Excel .12 .96 .54 .55 .66 .77 .88 .99 .33. 304894 Use these random numbers to simulate 10days of sales. Please show your work on EXCEL.

Answers

Answer:

The answer to this question can be described as follows:

Step-by-step explanation:

Please find the attachment

A celebrity called Wayne East has been having some money problems recently. He is thinking of investing in the greatest record in the world, and wants to know how the value will change over time. He has an exponential regression model where his predictor is time in months, and response variable is money, measured in thousands of dollars. The alpha value is 4.2, and beta is 1.03. Based on this model, how much money (in thousands) will he have after six months

Answers

Answer:

Wayne west would have $5,015 in six months

Step-by-step explanation:

The formula for exponential regression model is y = αβˣ

Where y is amount of money in 1000 dollars

           x is time in months

We are given that α = 4.2 and  β = 1.03 and x = 6 months

Therefore, based on this model, y = αβˣ, the amount he would have in 6 months, y = [tex]4.2*(1.03) ^{6}[/tex]

y = 5.015 × 1000 = $ 5,015

Patricia, Luca and Dauda shared an amount of money such that, Patricia had twice as much
s Dauda and Luca had GH<600.00 more than Dauda. Il Patricia had GH2,000.00. W
was the average share, to the nearest GH!
Answer:​

Answers

Answer:

GH 1533

Step-by-step explanation:

Let Dauda's share of the money=x

Patricia had twice as much  as Dauda, therefore:

Patricia's share=2x

Luca had GH 600.00 more than Dauda, therefore:

Luca's Share =x+600

If Patricia had GH 2,000.00

Then: 2x=2000

x=1000

Therefore:

Dauda's Share=GH 1000Patricia's share=GH 2000Luca's Share =1000+600=GH 1,600

Next, we determine the average share.

[tex]\text{Average Share=}\dfrac{1000+2000+1600}{3}\\=\dfrac{4600}{3}\\\\=$GH 1533.33\\\text{Average Share} \approx $GH 1533 (to the nearest GH)[/tex]

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