Please help soon on functions problem, thanks!

Answer:

Step-by-step explanation:

8^2 = 64

+

4*11 = 44

-> 64 + 44 = 108

Answer: I think its

x>-10/3

Step-by-step explanation:

The new length is 35+10=45 and the new width is 18+10=28.

To Find the Area of a rectangle is length times the width.

Given that enclosure at the zoo is 35 feet long by 18 feet wide. It means the length is 35 feet and the width is 18 feet.

Area of Rectangle=Length × Width

=35×18

=630

The zoo wants to double the area of the enclosure by adding the same distance x to the length and width.

(35+x)×(18+x)=1260

630+35x+18x+x2=1260

x2+53x+630-1260=0

x2+53x-630

Now we will apply the quadratic formula we get

x=10.

The new length is 35+10=45

The new width is 18+10=28.

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If we substitute a = 5 into the equation 3a = 15, we get b = 15.

Therefore, a = 5 and b = 15.

We are given that b is 3 times older than a, so b = 3a.

We are also told that in 5 years b will be 2 times older than a, so b = 2(a + 5).

We can set 3a = 2(a + 5) and solve for a.

3a = 2a + 10

2a = 10

a = 5

Therefore, a = 5 and b = 3a = 15.

We know that today, b is 3 times older than a. This means that b = 3a. We can use this equation to help us solve the problem.

We know that in 5 years' time, b will be 2 times older than a. This means that in 5 years, b = 2(a + 5). We can use this equation to help us solve for a and b.

We can set the two equations equal to each other, 3a = 2(a + 5). We can then solve for a, which gives us a = 5.

We can then substitute this value into either of the equations to find the value of b. If we substitute a = 5 into the equation 3a = 15, we get b = 15.

Therefore, a = 5 and b = 15.

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The pair of transformations that is equivalent to the transformation described by (x,y) -> (x,-y+1) is (x, -y) and (x, y + 1)

From the question, we have the following parameters that can be used in our computation:

(x,y) ⇒ (x,-y+1)

The above represents the transformation from a point to the image of the point

The first transformation is from

(x,y) ⇒ (x,-y)

This represents a reflection across the x-axis

The second transformation is from

(x,-y) ⇒ (x,-y + 1)

This represents a translation up by 1 unit

Hence, the pair of transformations is (x,y) ⇒ (x,-y) and (x,-y) ⇒ (x,-y + 1)

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3) The value of x is 40°.

4) The value of x is 54.67°.

5) The value of x is 11.15.

6) The value of x is 30.33.

What is sine of an angle?

Sine and cosine are trigonometric functions of an angle in mathematics. In the context of a right triangle, the sine and cosine of an acute angle are defined as the ratio of the length of the side directly opposite the angle to the length of the longest side of the triangle (the hypotenuse), and the neighboring leg's length to the hypotenuse, respectively. The sine and cosine functions are abbreviated sin and cos for an angle theta.

3)

The height of the triangle is 9.

The hypotenuse of the angle is 14.

The angle between base and hypotenuse is x°.

sin θ = height/hypotenuse

Putting θ = x°, height = 9  and hypotenuse = 14:

sin x = 9/14

x = 40°.

4)

The height of the triangle is 31.

The hypotenuse of the angle is 38.

The angle between base and hypotenuse is x°.

sin θ = height/hypotenuse

Putting θ = x°, height = 31  and hypotenuse = 38:

sin x = 31/38

x = 54.67°.

5)

The height of the triangle is x.

The hypotenuse of the angle is 17.

The angle between base and hypotenuse is 41°.

sin θ = height/hypotenuse

Putting θ = 41°, height = x  and hypotenuse = 17:

sin 41 = x/17

x = 17 × sin 41

x = 11.15.

6)

The height of the triangle is 29.

The hypotenuse of the angle is x.

The angle between base and hypotenuse is 73°.

sin θ = height/hypotenuse

Putting θ = 73°, height = x  and hypotenuse = 17:

sin 73 = 29/x

x = 29 / sin 73

x = 32.33

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The histogram that depicts the higher standard deviation is the one that has a wider spread of data, meaning the distribution has more dispersion.

This can be seen by the points in the histogram being more spread out and having a larger range of values. The bars may be higher than the average bar in b, but that does not necessarily mean it has a higher standard deviation. Similarly, a more bell-shaped distribution does not necessarily indicate a higher standard deviation.The histogram that depicts the higher standard deviation is the one that has a wider spread of data, meaning the distribution has more dispersion. This is because a higher standard deviation indicates that the data points are more spread out, and the range of values is larger. This can be seen by looking at the histogram and observing that the points are more spread out and have a larger range of values. The bars in the graph may be higher than the average bar in b, but this does not necessarily mean that it has a higher standard deviation. Similarly, a more bell-shaped distribution does not necessarily indicate a higher standard deviation.

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No, we can't guaranteed that these edges form a MST.

Since the edge (u, v) has the lowest weight in the graph, we begin by supposing that there is no MST of the graph that contains it. The contradiction that results from this is as follows. The graph must have at least one MST if it is connected because we know it has at least one spanning tree.

Think about such an MST T. Keep in mind that, based on our first hypothesis, it does not contain the edge (u, v). Therefore, by adding (u, v) and eliminating one other edge, let's say (x, y), from the cycle that the new edge creates, we can transform it into another spanning tree, denoted T'. Because (u, v) is the edge with the lowest weight, (x, y) has a weight larger than or equal to (u, v), and as a result, T's total weight is less than or equal to T.

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Cost of one sandwich is $7 and cost of milkshake $5.

What is an equation?

In arithmetic, associate equation could be a formula that expresses the equality of 2 expressions, by connecting them with the sign =.

Main body:

According to question:

let cost of one sandwich be x and cost of milkshake be y .

7x + 5y = $79           -------(1)

2x + 5y = $44          -------(2)

subtracting equation 2 from 1 , we get

5x = 35

x = $7

so cost of one sandwich is $7.

now substituting value of x in equation 1 , we get

7(7) + 5y = 79

49 +5y = 79

5 y = 20

y = 4

so cost of one milkshake is $5.

Hence cost of one sandwich is $7 and cost of milkshake $5.

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The required missing value for the values representing the direct variation is -3.2.

Proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

Here,

let the missing number be x.
From the table given,
-22/-4.4 = -16 / x
x = -16 / 5
x = -3.2

Thus, the required missing value for the values representing the direct variation is -3.2.

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The question asks for the multiplicative rate of change which has a formula:[ f(x2) / f(x1) ] / (x2 - x1). The answer is 2.

If we want to find the multiplication. Tive rate of change of a function, that just means we need to divide one item by the one that comes before it to find out how much it multiplies Given one change in acts.

A ratio is a divisional comparison of two numbers by dividing the second output by the first one and using the first two outputs, -1/8 and -1/4, we can determine the ratio:

-1/4 ÷ -1/8

When dividing fractions, we multiply by the reciprocal:

-1/4 × -8/1

To multiply fractions, multiply straight across:

(-×-8)/(4×1) = 8/4 = 2.

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The plan with the smallest one-time membership fee is Plan D.

The point-slope formula will be used to determine the equation that models the cost of each plans.

(y - y₁) = [(y₂ - y₁)/(x₂ - x₁)](x - x₁)

where (x₁, y₁) is the coordinates of point 1

(x₂, y₂) is the coordinates of point 2.

For the equation y = mx + b,

let x = number of discs rented

y = total cost

m = rental rate per disc

b = one-time membership fee

Plan A

(y - 14) = [(17 - 14)/(2 - 1)](x - 1)

y - 14 = 3x - 3

y = 3x + 11

Plan B

(y - 12) = [(16 - 12)/(2 - 1)](x - 1)

y - 12 = 4x - 4

y = 4x + 8

Plan C

(y - 10) = [(15 - 10)/(2 - 1)](x - 1)

y - 10 = 5x - 5

y = 5x + 5

Plan D

(y - 12) = [(21 - 12)/(2 - 1)](x - 1)

y - 12 = 9x - 9

y = 9x + 3

Hence, the plan with the smallest one-time membership fee, b, is Plan D.

Your question is incomplete, but most probably you are asking

"...Which plan has the smallest one-time membership fee?"

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. A minibus had 23 passengers at the beginning of a journey. The  passengers alighted at the final destination,  passengers were ferried by the minibus through the journey, and money collected during the trip are

Generally, a) The minibus had

23 - 12 + 9 = 20 passengers at the first stop.

After the second stop, it had

20 - 6 + 12 = 26, passengers.

At the final destination, 26 - 6 = 20 passengers alighted.

b) The minibus ferried a total of

23 + 12 + 9 - 6 - 12 = 24 passengers through the journey.

c) The charges for the first stop were

50 * 12 = 600 shillings.

The charges for the second stop were

70 * 6 = 420 shillings.

The charges for the final destination were

85 * 20 = 1700 shillings.

The total amount of money collected during the trip was

600 + 420 + 1700 = 2820 shillings.

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Answer: 30% of 105 (= 31.5)

Step-by-step explanation:

30% of 105 is 31.5 and

32% of 98 is 31.36

Answer:

multiply

(x square + 5) ( x square +2x - 3)

If the dimensions of the cardboard sheet is 16 inches by 10 inches , then the maximum volume of the box is  144 in³ .

In the question ,

it is given that the length of the sheet is = 16 inch

and width of the sheet is = 10 inch

let width of box be ⇒ "w" ,

let length of box be ⇒ "l"

let the length of the corner cut out be = "x"

let volume of box be ⇒ "V" ;

we need to find the point of dV/dx that is maximum ,

given width = 16 ; and length = 10 ,

we have : width = x + w + x ⇒ w = 2(8 - x)

length = x + l + x = 10 ⇒ l = 2(5 - x)

the Volume of rectangular box is written as ; V = w*l*x ;

substituting the values of w , l and x ,

we get ;

V = 2(8 - x)2(5 - x)x

V = 4x³ - 52x² + 160x

differentiating with respect to "x" , and for critical point equating it to 0 ,

we have ;

12x² - 104x + 160 = 0

solving the above quadratic, we get ;

x = 2 & x = 20/3 .

On substituting the values , in d²V/dx² = 24x - 104 < 0 for x = 2 ,

that is maximum ;

Substituting x = 2 , in the V = 4x³ - 52x² + 160x ,

we get ;

Volume of the box as 144 in³ .

Therefore , the maximum volume of the box is = 144 in³ .

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Answer:

d

Step-by-step explanation:

d

The value of n that makes a system of equations with a solution that has a y-value of 2 is n = 5

A system of equations is a pair of equation that contain two unknowns.

Given the system of equations

5x+6y= 32  (1)

2x + ny = 18  (2)

We desire the value of n where the value of y is 2

First, we make x subject of the formula from equation (1)

So, x = (32 - 6y)/5

Substituting x into equation (2), we have that

2x + ny = 18  (2)

2(32 - 6y)/5 + ny = 18  (2)

(64 - 12y)/5 + ny = 18

Multiplying through by 5, we have

64 - 12y + 5ny = 90

We now make n subject of the formula.

64 - 12y + 5ny = 90

- 12y + 5ny = 90 - 64

(- 12 + 5n)y = 26

-12 + 5n = 26/y

5n = 26/y + 12

n = 26/5y + 12/5

Since y = 2, substituting y into the equation, we have

n = 26/5(2) + 12/5

n = 26/10 + 12/5

n = (26 + 24)/10

n = 50/10

n = 5

So, the value of n = 5

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(a) 0.65542 proportion of pupils receive a score below 33.

b) the score that falls within the 80% range is 35.64.

Given that,

English test results have a mean of 30.6 and a standard deviation of 6, and they are normally distributed.
We have to find

(a) What proportion of pupils receive a score below 33.

b) Determine the score that falls within the 80% range.

We know that,

X: Scores of an english test

X≈N(30.6 , 6²)

(a) P(X<33)= P(Z<33-30.6/6)

=P(Z<0.4)

=1-P(Z>0.4)

=1-0.34458

=0.65542

(b) P(X<x)=0.80

P(Z<x-30.6/6)=0.80

1-P(Z>x-30.6/6)=1-0.80

P(Z>x-30.6/6)=0.20

x-30.6/6=0.20

x= 35.64

Therefore,

(a) 0.65542 proportion of pupils receive a score below 33.

b) the score that falls within the 80% range is 35.64.

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the function should be represented as f(t) = 24,500( 0.88[tex])^{t}[/tex]

What is an Equations?

Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.

Given,  f(t) = 24,500 x (0.88)t

Assuming that the value of the car only increases by 88% per year compared to the previous year, the function rule needs to have "t" as the exponent, thus it should be f(t) = 24,500( 0.88[tex])^{t}[/tex]

Hence, the function should be represented as f(t) = 24,500( 0.88[tex])^{t}[/tex]

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Answer:

7x/4 = 66

(7/4)x = 66

x = 66 × (4/7)

x = 264/7

in decimal x = 37.714(apprx.)

Answer:

-7

Step-by-step explanation:

First find the slope (m)

m = (-1-(-3) / (6-4) = 2/2 = 1

Now find b, the y-intercept, by plugging either point into the equation.

y = mx + b

-3 = 1(4) + b

b = -7

Answer:

x=-9

y=-2

z=4

Step-by-step explanation:

5x+2y-2z=-57

3x-10y-z=-11

y=-2

5x+2(-2)-2z=-57

3x-10(-2)-z=-11

y = -2

5x-4-2z=-57

3x+20-z=-11

y = -2

5x-2z=-53

3x-z=-31

y = -2

5x-2z=-53

3x+31=z

y = -2

5x-2(3x+31)=-53

3x+31=z

y = -2

5x-6x-64=-53

3x+31=z

y = -2

-x=9

3x+31=z

y = -2

x=-9

3(-9)+31=z

y = -2

x=-9

-27+31=z

y = -2

x=-9

z=4

y = -2

Answer:

6. X, Y and Z are different numbers. X is a factor of Y. Z is a multiple of Y. Which of the following is DEFINITELY true?

7. The following graph shows Vinit's journey as he cycled from his home to a park, 4 kilometers away in 800 seconds. Which of these can be said based on this graph?

8. How many TENS must be added to 7 000 to make it 70 000.

Step-by-step explanation:

P is the subject of the formula if we rewrite it as:

p = m*(nx - y²)/3n

The subject of a formula is the variable that is isolated, so here we only need to isolate the variable p.

The formula is:

m*(nx - y²)/p = 3n

First, we can multiply both sides by p to get:

m*(nx - y²) = 3n*p

Now we can divide both sides by 3n, then we will get:

m*(nx - y²)/3n = p

Now p is the subject of that formula.

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Answer:

0

Step-by-step explanation:

slope = (5-5)/(-10-2)

0/-12

0

An equation which suggests how the range of skeins of yarn remaining, y, relies upon at the range of hats Anna knits, x is y =6- 1.2x.

An expression is a mathematical equation that is used to reveal the connection present among or extra variables and numerical quantities.

Let y constitute the range of skeins of yarn remaining. Let x constitute the range of hats Anna knits.

Mathematically, an equation which fashions the connection among x and y is given by: Mathematically, an equation which fashions the connection among x and y is given by

Remaining yarn = Total quantity of yarns -

Number of yarns used in keeping with hats

Substituting the given parameters into the formula, we have;

y = 6 - 1.2x

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Equation to determine the diver’s initial depth is [tex]x + 10 \frac{3}{4} = 56\frac{1}{2}[/tex].

Mathematically, an equation can be defined as a statement that supports the equality of two expressions, which are connected by the equals sign “=”.

In algebra, an equation is a condition on a variable. It is satisfied only for a definite value of the variable.

The equation in one variable means the equation containing only one variable. Let’s have a look at the below equations.

Let the distance of diver at a certain depth be x.

After some time he ascends [tex]10\frac{3}{4}[/tex] feet.

The final position of diver is : [tex]56\frac{1}{2}[/tex] feet.

Using given information we get the required equation: [tex]x + 10 \frac{3}{4} = 56\frac{1}{2}[/tex].

where x = distance of diver at a certain depth.

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The scale factor of the dilation is 2 which can be shown in the details given below.

In geometry, a line segment is bounded with the aid of using awesome factors on a line. Or we are able to say a line phase is a part of the road that connects  factors. A line has no endpoints and extends infinitely in each the course however a line phase has constant or particular endpoints.

QS : QS'

= 4 : 8

= QU : QU'

= 5 : 10

= 1 : 2

Then the scale factor is of the dilation is 2 (magnification).

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Complete question

Line segment SU is dilated to create S'U' using point Q as the center of dilation.

The scale factor of the dilation is:

The height of the flagpole is 16.96 ft or 17 ft using the angle of elevation .

What is angle of elevation ?

The angle of elevation is the angle between the horizontal line of sight and the line of sight up to an object.

Here ,

angle of elevation is 58 degree.

And distance of Myleen from base of flagpole = 20 ft.

So, the height of flagpole = 20*sin(58°)

                                           = 20 * .8480

                                           = 16.96

                                           ≈ 17 ft.

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Answer:

D) 22

i hope it's correct

The requried sum of all nine numbers would be equal to 22. Option B is correct.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
For 3 x 3 tables,
Emily already wrote two numbers one is 2 in the 1 cell of the table and 3 in the 6th cell of the table.
For the given conditions for each side of cells in the table, the sum of the two adjacent cells must be equal.
So, If two is located at 1st cell, we put 3 on both the adjacent sides of 2 and 2 on both adjacent sides of 3 so that the sum equal to 5,
And the whole 3x3 table is given as,

2  3  2
3  2  3
2  3  2

Now, sum of all the digits, = 2 + 2 + 2 + 2 + 2 + 3 + 3 + 3 + 3 = 22

Thus, the requried sum of all nine numbers would be equal to 22. Option B is correct.

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