Write the function whose graph is the graph of y = x2, but is shifted to the left 2 units.

The probability that the dart lands in centre is = √2-1.

acc to our question-,

hence,The probability that the dart lands in centre is = √2-1.

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Answer:

Step-by-step explanation:

We can observe:

According to  Hınge theorem if two sides of different triangles are equal and the angles between the two sides are different, then the larger angles has greater side opposite to it.

As TU is opposite to the larger angle, and SV is opposite to smaller angle, then TU > SV.

Correct angle choice is B.

Answer: 5+3*3(3)-2= 30

Step-by-step explanation: Replacing x with 2 and using PEMDAS

Answer:

x = 1, -1

x = 6i, -6i

Answer:

1, -1, 6i, -6i

Step-by-step explanation:

Answer:

Step-by-step explanation:

weight of 1 sheet= (28/7)g

                            =4g

1.5kg=1.5 X 1000g

         =1500g

no. of papers that will weigh 1.5 kg= 1500/4

                                                          =375

Answer:  375 sheets of paper

Step-by-step explanation: First, to find the weight of one sheet of paper, we can do 28 divided by 7 to get 4 grams. Then, since 1.5 kg is 1500 grams, we can do 1500 divided by 4, which equals 375. So, 375 sheets of paper will weigh 1.5 kg.

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The number of pieces the bakery will sell is 16 and a half. The total amount of money they will make is $82.5.

To get the number of pieces of pies that they have to sell, we need to first determine how many 1/4 pies are in 4 and 8 pieces of bread. Going by that, we can see that:

1/4x of 4 = 16.

Also, 1/4x of 1/8 = 1/2.

So, the total number of pies that they have to sell is 16 and a half.

Now if 1/4 of a pie costs $5, then 4 1/8 will be equal to 33/8 × 5 ÷ 1/4.

This is equal to 165/8 × 4 = $82.5

So, the total amount of money that the bakery will make will be $82.5.

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The domain and the range of the function are the sets X = {- 9, - 7, - 5, - 3, - 1, 1, 3} and Y = {- 5, - 3, - 1, 1, 3, 5, 7}.

Herein we need to determine the domain and the range of a function, functions are relations such that every element of the domain is related only to one element of the range.

Graphically speaking, the domain of a function are represented by the set of x-coordinates and the range by a set of y-coordinates. The picture shows a discrete function, that is, a function with a finite set of points. Then, the domain and range are listed by the following sets:

Domain

X = {- 9, - 7, - 5, - 3, - 1, 1, 3}

Range

Y = {- 5, - 3, - 1, 1, 3, 5, 7}

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A. The expression in the simplest form that represents the amount (in dollars) it costs to adopt x dogs is 195x

B. The coefficient of the expression in part (a) represents D. The the total amount the animal shelter earns when x dogs are adopted

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

In this situation, to adopt a dog from an animal shelter, you must pay $80 for vaccinations, $65 to spay or neuter the dog, and $50 for a wellness exam by a veterinarian.

Therefore, the expression to adopt x dogs will be:

= 80(x) + 65(x) + 50(x)

= 80x + 65x + 50x

= 195x

This is the cost for x dogs.

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By simplifying 2/5  + [tex]a^{2/2}[/tex] C we get the solution as (2a + 5C) / 5.

Given equation ,

2/5  + [tex]a^{2/2}[/tex] C

We know that ,  [tex]a^{2/2}[/tex]  = a

So the equation becomes ,

2/5 a + C

By simplifying,

2a / 5 + C

= 2a / 5 + 5C / 5

By combining fractions ,

(2a + 5C) / 5

Thus solution is (2a + 5C) / 5 .

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Applying the distributive property, the given radical expression can be represented by 15.

The properties of multiplication are:

The question gives [tex](3+\sqrt{6} )(3-\sqrt {6} )[/tex]. Therefore, you should analyze the properties presented previously, and after that, you should identify which was used.

Here, it is possible to see that you can apply the distributive property. See below.

[tex](3+\sqrt{6} )(3-\sqrt {6} )\\ 9-3\sqrt {6} +3\sqrt {6}+6[/tex]

9+0+6=15

Then,  the radical expression (3+√6)(3-√6)=15

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The area of one triangle is 28 cm².​

From the question, we have

area = 1/2*base*height

=  1/2*8*7

=28 cm².

Multiplication:

In mathematics, multiplying the numbers is used to find the product of two or more numbers. We carry out one of the basic mathematical operations on a regular basis. The main application that is obvious is using multiplication tables. Mathematicians use the multiplication of two integers to express the repeated addition of one number to another. These numbers can be natural numbers, fractions, integers, whole numbers, etc. M is either added to itself 'n' times or subtracted from itself when m is multiplied by n.

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Answer:

x=17/14 y=5/21

Answer:

Ima say 2017

Step-by-step explanation:

When John read 7 and 1/2 pages in 2/5 of an hour, the rate in pages per hour that he read is 18.75 per pages.

It should be noted that rate is used to show the comparison between two things.

In this case, John read 7 and 1/2 pages in 2/5 of an hour.

The number of pages read per hour will be the division of the values given. This will be:

= 7 1/2 ÷ 2/5

= 7.5 / 0.4

= 18.75 pages

The pages is 18.75 pages.

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Answer:

[tex]\frac{7}{11}[/tex], [tex]\frac{7}{9}[/tex], [tex]\frac{7}{8}[/tex]

Hope this helps!

Step-by-step explanation:

One way to find this out is by just plain dividing the numbers, 7 ÷ 11 is 0.636363..., 7 ÷ 9 is 0.7777777..., and 7 ÷ 8 is 0.875. 7/11 is the smallest of all of them, then 7/9, and then 7/8.

Answer:

£250

Step-by-step explanation:

Divide $405 by $1.62 which is 250.

Multiply that by £1 which is £250.

The difference of the given fractions is 9/20.

The given fractions are 3/4 and 3/10.

Subtracting fractions include the subtraction of two or more fractions with the same or different denominators. Like fractions can be subtracted directly but for unlike fractions we need to make the denominators same first and then subtract them.

The difference of the given fractions is

3/4 - 3/10

= 15/20 - 6/20

= 9/20

Therefore, the difference of the given fractions is 9/20.

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Answer:

[tex]\textsf{Quotient}: \quad 2i^3+4i^2-5i+6[/tex]

[tex]\textsf{Simplified Quotient}: \quad 2-7i[/tex]

Step-by-step explanation:

Long division method

Given rational expression:

[tex]\dfrac{2i^4-6i^3-25i^2 +31i-30}{i -5}[/tex]

Solve using long division:

[tex]\large \begin{array}{r}2i^3+4i^2-5i+6\phantom{)}\\i-5{\overline{\smash{\big)}\,2i^4-6i^3-25i^2 +31i-30\phantom{)}}}\\{-~\phantom{(}\underline{(2i^4-10i^3)\phantom{-b00000000000.)}}\\4i^3-25i^2+31i-30\phantom{)}\\-~\phantom{()}\underline{(4i^3-20i^2)\phantom{))))))))))))}}\\-5i^2+31i-30\phantom{)}\\-~\phantom{()}\underline{(-5i^2+25i)\phantom{........}}\\6i-30\phantom{)}\\-~\phantom{()}\underline{(6i-30)\phantom{}}\\0\phantom{)}\end{array}[/tex]

Therefore, the quotient is:

[tex]2i^3+4i^2-5i+6[/tex]

Imaginary number rule

[tex]i^2=-1[/tex]

Simplify the quotient:

[tex]\implies 2i^3+4i^2-5i+6[/tex]

[tex]\implies 2i^3+4(-1)-5i+6[/tex]

[tex]\implies 2i^3-4-5i+6[/tex]

[tex]\implies 2i^3-5i-4+6[/tex]

[tex]\implies i(2i^2-5)+2[/tex]

[tex]\implies i(2(-1)-5)+2[/tex]

[tex]\implies-7i+2[/tex]

[tex]\implies 2-7i[/tex]

Answer:

4054

Explanation:

171 is the three-digit palindrome that ends with 71

3883 is the four-digit palindrome that ends with 83

171 + 3883 = 4054

The possible combination of the number of peaches and apricots they can get for $5 is 2 peaches and 5 apricots.

The equation that represents the total cost of peaches and apricots is:

Total cost = (number of peaches x cost of one peach) + (number of apricots x number of apricots)

$5 = ($0.85 x p) + ($0.55 x a)

Total cost of buying 1 peach and 8 apricots:

($0.85 x 1) + ($0.55 x 8) = $5.25

Total cost of buying 2 peaches and 5 apricots:

($0.85 x 2) + ($0.55 x 5) = $4.45

Total cost of buying 3 peaches and 7 apricots:

($0.85 x 3) + ($0.55 x 7) = $6.40

Total cost of buying 4 peaches and 3 apricots:

($0.85 x 4) + ($0.55 x 3) = $5.05

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An equation relating C to M is (C) = 23.75 + 0.65M.

Given,

In the question:
The standard charge S (in dollars) is given by the

function S=18.95 +0.50M, where M is the number of miles driven.

The insurance charge I (in dollars) is given by the function I=4.80 +0.15M.

and, Let C be the total charge (in dollars) for a rental that includes insurance.

To find the An equation relating C to M.

Now, According to the question:

By the topic:

The total Charge (C) = The standard Charge (S) + The insurance charge (I)

Thus,

The total Charge (C) = 18.95 +0.50M + 4.80 +0.15M.

Combine like terms:

The total Charge (C) = 18.95 + 4.80 + 0.50M + 0.15M

The total Charge (C) = 23.75 + 0.65M

Hence, An equation relating C to M is (C) = 23.75 + 0.65M.

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The height of the tower is 9.24 feet. That is, the tower is 9.24 feet tall

From the question, we are to determine how tall the tower is

From the given information,

From a distance of 10 feet, the angle of elevation of the tower at a height 5 feet from the ground is 23 degrees.

Let x represent the length of the tower from a point 5 feet from the ground.

Thus,

The height of the tower will 5 + x feet

Now, we will determine x

Using SOH CAH TOA

tan 23° = x / 10

x = 10 × tan 23°

x = 4.24 feet

Height of the tower is 5 + x feet

Therefore,  

Height of the tower = 5 + 4.24 feet

= 9.24 feet

Hence,

The height is 9.24 feet

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In order to get the same outcomes as a form mirrored across the y-axis and turned counterclockwise, a shape can be reflected across the x-axis and then rotated 90 degrees in a clockwise manner around the origin. This suggests a similarity between these two transformative sequences.

What does mathematics mean by reflection?

A flip is the term used in geometry to describe a reflection. The mirror image of the form is a reflection. An image can reflect through a line known as the line of reflection. When all of the points in a figure are evenly spaced away from one another, the two figures are said to reflect each other.

(X, Y) > when a form is rotated 90 degrees counterclockwise (y, -x).

When the picture is reflected across the y-axis, (x, y) > (-x, y).

When those two transformations are used, it is the same as reflecting a shape across the line y = -x, where (x, y) > (-y, -x).

For instance: After being rotated 90 degrees clockwise and reflecting across the y-axis,

(2, 1) > (1, -2) > (-1, -2); and

(2, 1) > (-1, -2)

after being reflected across the y = -x line

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Answer:

use pythagoras theorm you will get 20.35 ft

Step-by-step explanation:

Answer:

20.3490

Step-by-step explanation:

a^2+b^2=c^2

15.5^2+13.2^2=c^2

240.25+174.24=c^2

414.49=c^2

c=20.3590

A swimming pool shaped like a rectangular prism has a volume of 124 cubic meters.

Rectangular prism is a three-dimensional shape that has 6 rectangle faces, 12 edges and 8 vertices.

Volume is defined as the amount of space that a three-dimensional shape occupies.

The volume of a rectangular prism can be calculated using the formula below.

V = l x w x h

where V = volume

l = length

w = width

h = height or depth

Plug in the values to the formula, multiply by the conversion factor, and solve for the volume.

V = l x w x h

V = (26 feet)(14 feet)(12 feet)(0.305 meter/foot)³

V = 124 cubic meters

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The largest head diameter that can accommodate the clientele is 8.5743

Mean, u = 6.4

Standard deviation = 0.9

We must utilize the inverse of the common normal table to obtain our values.

the smallest head width possible.

P(Z < z) = 1.4%

P(Z < z) = 0.014

P(Z < -2.0749) = 0.014

z = -2.0749

Using the z-score calculation,

(x - μ) ÷ σ = [tex]Z_{0.019}[/tex]

Let x be the heads' breath.

Making x the focus of the equation,

x = z × σ + μ

We already have:

z = -2.0749

u = 6.5

s.d = 1

Replacing numbers,

x = (-2.0749 × 1) + 6.5

x = 4.4251

The clientele requires a minimum head breadth of 4.4251.

The largest head width that can be accommodated.

P(Z > z) = 1.4%

1 - P(Z < z) = 0.014

P(Z < z) = 1 - 0.014 = 0.981

P(Z < 2.0749) = 0.981

Using the z-score calculation,

(x - μ) ÷ σ = [tex]Z_{0.019}[/tex]

Let x be the heads' breath.

Making x the focus of the equation,

x = z × σ + μ

z = 2.0749

u = 6.5

s.d = 1

Substituting figures,

x = (2.0749 × 1) + 6.5

x = 4.4251

x = 8.5743

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Answer:

167 miles without the cost of the rental

Step-by-step explanation:

Daniela needs to rent a car while on vacation. The rental company charges $19.95, plus 18 cents for each mile driven. If Daniela only has $50 to spend on the car rental, what is the maximum number of miles she can drive? Round your answer to the nearest mile.

equation: where m = miles driven

50 = 0.18m + 19.95

subtract 19.95 from both sides:

50 - 19.95= 0.18m + 19.95 - 19.95

30.05 = 0.18m

divide both sides by 0.18:

30.05/0.18 = 0.18m/0.18

m = 166.9444

rounded: 167 miles without the cost of the rental

Answer:

167 :)

Step-by-step explanation:

it's math :)