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

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.

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;

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Answer:

The answer to this question can be described as follows:

Step-by-step explanation:

Please find the attachment

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

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

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

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

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

Answer:11(4h-3)

Step-by-step explanation:

44h-33

11(4h-3)

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

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

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]

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:

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:

e.g

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

Answer:

1440 feet

Step-by-step explanation:

15 × 12 × 8 = 1440

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

Answer:

$352.48

Step-by-step explanation:

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

500 = P(1.141851912)

P = 500 / 1.1418519112 = 352.48

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

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 :)

Answer:

(1, -1)

Step-by-step explanation:

To convert polar to rectangular coordinates, use these identities:

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

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

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.

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

Answer:

56.52

Step-by-step explanation:

Area of hemisphere = 2πr^2

Radius = 3

= 2×3.14×3×3

= 56.52

hope it helps!

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:

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]

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

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:

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

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.

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