The table and the graph show the relationship between the edge length x of a cube and it’s surface area y is the relation a function?

Answer:

33 years old

Step-by-step explanation:

x = youngest sibling

y = oldest sibling

x + (x + 3) + (x + 3 + 3) = 90

3x + 9 = 90

3x = 81

x = 27

y = 27 + 3 + 3 = 33

It is given that the quadrilateral WXYZ is a parallelogram.

By property of parallelogram the adjacent angles are supplementary so it follows:

Since the value of b is 7, the angle Z is given by:

Hence b=7 and angle Z is 65 degrees.

Answer:

47 dollars.

Step-by-step explanation:

ANSWER

45%

EXPLANATION

Rafael caught 22 trout and 18 catfish.

First, we have to calculate the total number of fish that he caught:

22 + 18 = 40 fish

Now, to find the percent of fish that were catfish, we have to divide the total number of catfish by the total number of fish and multipy by 100.

That is:

45% of the fish were catfish.

In the context of this problem all the solutions to the polynomial equation is correct because they all make sense.

The given polynomial equation  can be expressed as ;

x³ + 6x² - 40x = 192 and the given solutions can be written as ; x = -8, x = -4, and x = 6

We can test if the solution is the best for the given euation because this will help us to know if these valueas are the solution for the equation

x = -8

[(-8)³ + 6(-8)² - 40(-8)]

= 192

[-512 + 384 + 320]

= 192

x = -4,

[(-4)³ + 6(-4)² - 40(-4)]

[-64 + 96 + 160 ]

= 192

x = 6

[(6)³ + 6(6)² - 40(6) ]

216 + 216 - 240

= 192

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Answer:

Step-by-step explanation:

A,B

x = –8

x = –4

Answer:

Step-by-step explanation:

U={x|x∈N and x<10}

or U={1,2,3,4,5,6,7,8,9}

B={x|x∈N and x is even and x<10}

or

B={2,4,6,8}

C={x|x∈N and x<10}

or

C={1,2,3,4,5,6,7,8,9}

(B∩C)={2,4,6,8}

(B∩C)'={1,3,5,7,9}

Answer:

Step-by-step explanation:

Hello, we assume that x is different from 0 and f different from 2b

\(b+\dfrac{3}{x}=\dfrac{f}{2}\\\\\text{Subtract b}\\\\+\dfrac{3}{x}=\dfrac{f}{2}-b\\\\\text{Mulitply by 2x}\\\\+\dfrac{3*2*x}{x}=6=\dfrac{2xf}{2}-2bx=(f-2b)x\\\\\text{Divide by f-2b}\\\\\Large \boxed{\sf \bf x=\dfrac{6}{f-2b}}\)

Thanks

Answer:

y = 12 x = 12\(\sqrt{3}\)

Step-by-step explanation:

This is a 60, 90, 30. It's a special triangle.

2z = 24

z = 12

If x = z\(\sqrt{3}\)

then x = 12\(\sqrt{3}\)

y = z itself

So y = 12

Answer:

Domain is  

{

x

∈

R

;

x

≠

−

5

}

Range is  

{

y

∈

R

;

y

≠

0

}

Step-by-step explanation:

Explanation:

Domain: Denominator should not be  

0

∴

x

+

5

≠

0

or

x

≠

−

5

Domain is any real value except  

x

=

−

5

or  

{

x

∈

R

;

x

≠

−

5

}

Range is any real value except  

y

=

0

or  

{

y

∈

R

;

y

≠

0

}

graph{1/(x+5) [-10, 10, -5, 5]}

Step-by-step explanation:

The body reverses direction whenever we go from Positve velocity to negative velocity or vice versa.

So here it is (2,7) exclusive then (7,10) exclusive.

A constant speed means a slope of 0. Here it is (3,6).

c. Since speed is non negative, we would reflect any part of the velocity function that is below the time.axis about the time axis

So we would get

Above is the function, don't worry bout the math part.

D. Knowing that acceleration is the derivative of velocity with respect to time, the derivative of any linear function is the slope of that linear function. So if we find the slope of different paths, we will get a constant and then we can graph it

We must use the original graph because acceleration is a vector meaning it can be negative.

We would get

the second graph is acceleration vs time

Answer:

I'd say you could but 11 lattes

Step-by-step explanation:

First of all I worked out the complete price of the latte which is $4.45*1.1825. Then I took away from the $60 I have to spend the price of the scone plus the sales tax and tip ($2*1.1825).

That leaves you with about 11 lattes plus some change... I think... Sorry this is my first answer here. Hopefully it helps...

Answer: B

Step-by-step explanation: If you solve the problem on the left it will give you the same thing as the right numbers.

Kinzang grew 0.96 meters.

We have,

To find how much Kinzang grew, we need to subtract his height at birth from his current height:

Height Kinzang grew = Current height - Height at birth

Height Kinzang grew = 1.49 m - 0.53 m = 0.96 m

Therefore,

Kinzang grew 0.96 meters.

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Answer:

The function will be exist if and only if :

\( \frac{ - x + 3}{2} > 0 \\ = > - x + 3 > 0 \\ = > - x > - 3 \\ = > x < 3 \\ \\ \therefore \bf \: domain \: \: \green{x < 3}\)

The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

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Given,

The selling price of a pair of pants is $34.

To find the price that the store paid.

Subtract 8 from 34 to compute the required price.

As a result, the store paid is equal to $26.

The required angle is 24.5°.

Given is a right triangle with perpendicular side 16 and the base = 35 we need to find an acute angle in it,

To find the acute angle in a right triangle given the lengths of the perpendicular side and the base, you can use the tangent function.

The tangent of an angle is defined as the ratio of the length of the perpendicular side to the length of the base side.

In this case, the perpendicular side is 16 and the base is 35.

Let's denote the acute angle as θ.

Using the tangent function, we can set up the equation:

tan(θ) = perpendicular side / base

tan(θ) = 16 / 35

To find the value of θ, we can take the inverse tangent of both sides:

θ = tan⁻¹(16 / 35)

θ = 24.5°

Hence the required angle is 24.5°.

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By using the concept of dilation factor, length of BC obtained is 3 units

What is dilation factor?

Dilation is a transformation which changes the size of a figure by a certain factor.

That factor is called the scale factor

In the figure, A'B'C'D' is the image of ABCD under dilation with a scale factor of 3

A'B'C'D' is the dilated figure

Length of B'C' = 9 units

Length of BC = \(9 \div 3\) = 3 units

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Complete Question

The figure has been attached here

Given the following equation:

You can follow these steps in order to find the value of "n":

1. Apply the Multiplication Property of Equality by multiplying both sides of the equation by the variable "n":

2. Apply the Division Property of Equality by dividing both sides of the equation by 4.56:

Therefore, the answer is:

Solve- 55+0.50m = 66

          -55                 -55

            0.50m = 11

             0.50      0.50  cross out the 5´s

               m=22

Then the money borrowed insurance company is $1,000.

Money borrowed from insurance company = $1000

Let the money borrowed by her friend at 8% interest = x

Then the money borrowed by the bank at 9% interest = 2x

Total money borrowed = $10,000

So, the money borrowed from the insurance company = 10,000-(2x+x)

= 10,000-3x

Total interest for the first year = $830

We have the equation,

8%(x) + 9%(2x) +5% (10,000-3x) = 830

8x+18x+50,000-15x = 83,000

11x = 83000-50000

11x = 33,000

x = $3000

Then the money borrowed insurance company = 10,000-3x

Then the money borrowed insurance company is $1,000.

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3888

Step-by-step explanation:

take

36×18×6=3888

☽------------❀-------------☾

Hi there!

~

\(8.71 = 9\)

\(26.01 = 26\)

\(69.48 = 69\)

\(103.72 = 104\\49.84 = 50\\101.35 = 101\\39.814 = 40\\1.23 = 1\)

❀Hope this helped you!❀

☽------------❀-------------☾

Answer:

Step-by-step explanation:

Look at tenth place. If it is 5 , 6 ,7 , 8, 9 ( 5 or more than 5)then add 1 to the whole part and that is your answer

If it is 0,1,2,3,4, then write the whole number as it it.

a) 8.71

tenth place is 7 and it is more than 5. so, add 1 to the whole part. 8+1 = 9

8.71 = 9

b) 26.01

Tenth place is 0 and it is less than 5.So, write the whole number as it is.

26.01 = 26

c) 69.48 = 69      { 4 is less than 5}

d) 103.72 = 104   { 7 >= 5}

e) 49.84 = 50  { 8 >= 5}

f)101.35 = 101  

g) 39.814 = 40

h)1.23 = 1

The evaluated function values are g(-3) = 11, g(5) = 11, g(a) = 11 and g(a+h) = 11

A composite function is a function that results from combining two or more functions. It is created by using the output of one function as the input of another function.

The function g(x) is defined as g(x) = 11, which means that the output of the function is always 11, no matter what value of x is inputted.

i.e. the function g(x) = 11 always returns the value 11, regardless of the input.

Therefore, we have:

g(-3) = 11

g(5) = 11

g(a) = 11

g(a+h) = 11

So, regardless of the value of a or h, the function g(x) will always return 11.

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1,4,9,16,25,36,49,........

7th pattern =49.....

Answer:

1, 4, 9, 16, 25, 36, 49…................the 7 the pattern is 49

Answer: The amswer is D because -1 + 1 = 0

True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.

In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.

To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.

It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.

In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

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Answer:

Store A is 2 dollars greater than store B

Step-by-step explanation:

Store A                        Store B

1 : 0.70                           1 : 0.60

20 :  14                            20: 12

Hope that helps!