1) Graph the function by plotting the ordered pairs (0, 0) (10, 125) (20, 250) (30, 375) (40, 500) and
drawing a straight line through the points. Label the axes with appropriate
variable
quantities
and units. Label the points with the correct ordered pairs. Include a title for the graph.

Answer:

-15530

Step-by-step explanation:

plug it in to a calculator

why so random numbers

Answer:

Step-by-step explanation:

2(5+777x60/6x(-1))

2(5-7770)

2x(-7765)

-15530

The equation of parabola is y = (x - 2)² - 1.

We know that the standard form of the parabola is y=ax²+bx+c. Thus, the vertex form of a parabola is y = a(x-h)² + k.

Given:

Vertex (2, -1) and point (5, 8)

As, we know the vertex form of a parabola can be written as following

y = a(x - h)² + k ......(1)

Now, We are given that vertex is at (2,-1) and there is a point (5,8) on the curve.

i.e. h = 2 and k = -1,

x = 5 and y = 8

So, to find the value of a

y = a(x - h)² + k

8= a( 5- 2)² - 1

8= 9a - 1

9a= 9

a=1

Now, the equation of Parabola is

y = a(x - h)² + k

y = (x - 2)² - 1

Hence, the equation of parabola is y = (x - 2)² - 1.

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The factored form of 8x²⁴-27⁶ is (2x⁸-3y²)(4x¹⁶+6x⁸y²+9y⁴)

Equations may be solved and x-intercepts can be found very quickly when a quadratic expression is in factored form and equal to 0. You may also find vertices and maximum and minimum values of the expression.

The four main methods of factoring are the Grouping method, Difference in Two Squares, Sum or Difference in Cubes, and Greatest Common Factor (GCF).

It is referred to as being in factored form when a quadratic expression is represented as the sum of two linear factors plus a constant. Examples of factors include ((5x + 2)(3x-1)) and ((2(x-1)(x+3)).

Given,

8x²⁴-27⁶

=(2x⁸)³-(3y²)³

=(2x⁸-3y²)((2x⁸)²+2x⁸×3y²+(3y²)²

=(2x⁸-3y²)(4x¹⁶+6x⁸y²+9y⁴)

Therefore, the factored form of 8x²⁴-27⁶ is (2x⁸-3y²)(4x¹⁶+6x⁸y²+9y⁴)

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The statement that is true for the function, h is h(2) = 16

It is given that there is a function h

The range of function, h is [tex]1\leq h(x)\leq 25[/tex]

The domain of the function, h is [tex]-3 \leq x\leq 11[/tex]

And it is also given that h(8) = 19 and h(-2) = 2

Now,

The 1st option is h(-3) = -1

But the range of h is between 1 to 25, hence, this option is not true.

The 2nd option is h(8) = 21

But it is already given that h08) = 19, thus this option is not true.

The 3rd option is h(13) = 18

But the domain of h is between -3 and 11, So, this option is not true as well.

The fourth option is h(2) = 16

In this the values of range and domain are correct.

Thus, h(2) = 16.

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Step-by-step explanation:

if they are proportional, then they must keep the original ratio of 6/1 of sugar to cinnamon.

X 4.5/0.75 = 6 = 6/1

X 9/1.5 = 6 = 6/1

X 12/2 = 6 = 6/1

15/3 = 5 and that is NOT 6/1 (not proportional)

Hot Chocolate Sales and Outside Temperatures:

(A) The scatter plot  is shown below.
(B) The anomaly is located at (189, 16°F).
(C) A negative correlation exists.
(D) Sales are the dependent variable, and temperature is the independent variable.

What is Temperature?

The physical concept of temperature indicates in numerical form how hot or cold something is. A thermometer is used to determine temperature. Thermometers are calibrated using a variety of temperature scales, which historically defined various reference points and thermometric substances.

The following information is provided for hot chocolate sales and outside temperatures:

(Y) Sales    Temperature (X)
100                       92
213                       88
830                      54
679                      62
209                      85
189                       16
1110                       52
456                      65
422                      68
235                      89
199                      91

(A)
Attached below is the scatter plot.

(B)
A cluster is a group of points or values gathered in one location.
A cluster of three values between the temperatures of 80°F and 100°F may be seen on the scatter plot.
A value that differs significantly from the other values in a data set is referred to as an outlier. Either it's too little or it's too big.
In the given data collection, there is an outlier.
The anomalous value is (189, 16°F).

(C)
The scatter plot's points have a decreasing slope.
This suggests that the variables temperature and sales have a bad relationship.
There is a bad association as a result.

(D)
Dependent variables are variables that are being studied, or being kept an eye on for any changes while the other variables in the model are altered.
The variables that are changed to cause the dependent variable to vary proportionately are known as independent variables.
According to the outside temperature, the data in this case shows the sales of hot chocolate.
Sales are therefore the dependent variable, and temperature is the independent variable.
This is due to an increase in hot chocolate sales as the temperature drops.

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The largest number of boxes that can fit into the crate is 27.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

From the given data in the question,

The dimension of the crate is: 28 × 18 × 15

Volume of crate = 6480 cm³

And the dimensions of packs = 8 × 6 × 5

the volume of packs = 240 cm³

Then, the number of boxes that fit into the crate = 6480/240

= 27

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[tex]\displaystyle \lim_{\theta \to 0}\cfrac{\tan^2(\theta )-\sin(\theta )}{\theta 4}\implies \stackrel{\textit{\Large L'Hopital's rule}}{\lim_{\theta \to 0}\cfrac{\frac{d}{d\theta }[\tan^2(\theta )-\sin(\theta )]}{\frac{d}{d\theta }[\theta 4]}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{d}{d\theta }[\tan^2(\theta )-\sin(\theta )]\implies \cfrac{d}{d\theta }[[\tan(\theta )]^2-\sin(\theta )]\implies \stackrel{chain~rule}{2\tan(\theta )\cdot \sec^2(\theta )} ~~ -\cos(\theta ) \\\\\\ 2\tan(\theta )\cdot \cfrac{1}{\cos^2(\theta )}-\cos(\theta )\implies \cfrac{~~ \frac{2\sin(\theta) }{\cos(\theta) } ~~}{\cos^2(\theta )}~~ -\cos(\theta ) \\\\\\ \cfrac{2\sin(\theta) }{\cos^3(\theta) }~~ -\cos(\theta )\implies \cfrac{2\sin(\theta)-\cos^4(\theta)}{\cos^3(\theta)} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{d}{d\theta}[4\theta]\implies 4 \\\\[-0.35em] ~\dotfill[/tex]

[tex]\displaystyle \lim_{\theta \to 0}\cfrac{\tan^2(\theta )-\sin(\theta )}{\theta 4}\implies \lim_{\theta \to 0}\cfrac{ ~~ \frac{2\sin(\theta)-\cos^4(\theta)}{\cos^3(\theta)} ~~ }{4}\implies \lim_{\theta \to 0}\cfrac{2\sin(\theta)-\cos^4(\theta)}{4\cos^3(\theta)} \\\\\\ \displaystyle \lim_{\theta \to 0}\cfrac{2\sin(0)-\cos^4(0)}{4\cos^3(0)}\implies \lim_{\theta \to 0}\cfrac{2(0)-1^4}{4(1^3)}\implies {\Large \begin{array}{llll} -\cfrac{1}{4} \end{array}}[/tex]

The value of 3xy³ + 2xy³z + xyz + xz = 0

To find the value of a given equation or expression replaces each variable with the given value.

For example, a = 1 and b = 3 then find 3a + 2b.

=>  3(1) + 2(3) = 3 + 6 = 9

Therefore, the value of 3a + 2b = 9

Multiplying any number with zero will give zero i.e 3 × 0 = 0. No matter how large the number is when we multiply it by zero the result will be zero.

Here we have

x = 0, y = 3 and z = 5

We need to find the value of 3xy³ + 2xy³z + xyz + xz

Substitute given values in the given expression

=> 3(0)(y)³ + 2(0)y³z + (0)yz + (0)z     [ x × 0 = 0  ]

=> 0 + 0 + 0 + 0

=> 0

Therefore,

The value of 3xy³ + 2xy³z + xyz + xz = 0

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Answer: How many cards are there tho?

Step-by-step explanation:

Answer:

The associative property of multiplication states that the product of three or more numbers remains the same regardless of how the numbers are grouped. For example, 3 × (5 × 6) = (3 × 5) × 6.

Step-by-step explanation:

Answer: The pickles are $3.99

Step-by-step explanation:For percents,this is always done by simply dividing the percent (in this case 15%) by 100%. So, the conversational term "15%" becomes 15% / 100% = 0.15 in terms of a real mathematical number. 0.15 x $152.00=$3.99

The correct statements regarding the functions are given as follows:

Regarding the type of function, we have that:

The y-intercepts are the values of y for which x = 0, hence they are given as follows:

Hence function g(x) starts less than f(x), but it eventually exceeds function f(x), as it is exponential, meaning that it has a greater average rate of change.

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Answer:

42 or 21.15?

not 100% sure but hope this helps

---------------------------------------------

Answer:

7

Step-by-step explanation:

the proper answer is 6.50384501660364

however, this isn't an integer.

to get it to become an integer, we round it up;

6.5 rounded up is 7

and therefore, the answer would be 7

hope this helps

Answer:

Step-by-step explanation:

The amount of gallons of water is 160 and  gallons of the premium antifreeze solution that must be mixed is 80.

Let y represent the volume of water

Hence,

Total volume equation :

x +y = 240 equation 1

Pure antifreeze volume:

0.60 = .20 × 240  gallons equation 2

Hence,

Equation 2

x =  .20 × 240 /.60

x = 48 /.60

x = 80 (Pure antifreeze)

So,

y = 240 -80

y = 160 gallons of water

Therefore the volume of water is 160 gallons.

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The ratios of the given values 12/22,18/33 form a proportion  because they all equals to 6/11.

The concept that will be used is the concept of proportion. To know that the values whether they form a proportion, then, we will need to express them, in their lowest term.

12/22 can be expressed in its lowest term by dividing the denominator and the numerator by the factor of 2 givings us 6/11.

18/33 can be expressed in its lowest term by dividing the denominator and the numerator by the factor of 3 givings us 6/11.

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Answer:

i also need help with this because 2,3

Step-by-step explanation: help wich always equals 5,3

The value of x is x=p(m-n).

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

Given expression: m=n+(x/p)

To find: Make x the subject.

To make x the subject we have to separate the x to one side.

Expression m=n+(x/p)

Take n to another side,

(x/p)=m-n

Cross multiply,

x=p(m-n)

Therefore, the value of x is x=p(m-n).

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In terms of fractions, 2/5 of the icicle was eaten by the boy.

In mathematical term:

A boy ate three fifth of an icicle = 3/5

A boy gave = 1/3

So, Icicle eaten by the boy = 3/5 - 1/3

= (9 - 3) / 15

= 6/15

= 2/5

Hence, In terms of fractions 2/5 of the icicle was eaten by the boy.

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Answer:

78kg

Step-by-step explanation:

Let total mass be M.

mean=M÷5=76

M=380kg

mass of 4men is 72+74+75+81=302kg

mass of 5th man=380-302=78kg

Answer:

6 [tex]\frac{2}{3}[/tex] Hours

Step-by-step explanation:

Distance = rate times time

Let t = time

1 = .15t   Divide both sides by .15

6.666... = t  The 6 is repeating so as a fraction it would be

6 [tex]\frac{2}{3}[/tex]

Check the picture below.

Answer:

9 and 10

Step-by-step explanation:

To three decimal places

[tex]7 \sqrt{2} = 9.899[/tex]

So 7√2 is between 9 and 10 (closer to 10).

Andrew's score on the midterms this week, based on his scores last week and the absolute change, is 95%.

The Midterm score for this week increased by 23 percentage points over the midterm score for the last week. This increase in the midterm score was an absolute change and not a relative change.

As a result of this being an absolute change, the midterm score for Andrew this week would then be:

= Midterm score last week + absolute change in the score

= 72% + 23 percentage points

= 95%

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It is a rhombus kind of quadrilateral.

What is quadrilateral?

A quadrilateral has four sides, is two-dimensional (flat), closed (the lines join up), and has straight sides.

A rhombus is a four-sided quadrilateral with all of the features of a parallelogram.

A rhombus has three more characteristics: consecutive sides that are congruent; diagonals that bisect pairs of opposite angles; and diagonals that are perpendicular to one another.

Moving clockwise, beginning at point A in the top left corner of a hypothetical rhombus ABCD, you can see that side AB is congruent to side BC and side CD is congruent to side DA.

Additionally, you can see that diagonals AC and DB are perpendicular to one another and that the rhombus' diagonals split pairs of opposing angles.

Hence, It is a rhombus kind of quadrilateral.

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Answer: x - 2y = -10.

Step-by-step explanation:

The value of x in the given triangle is 110°.

A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.

The sum of the angles of a triangle is always 180°

In the given triangle,

∠A=65°,  ∠B=90°,  ∠C=80°, and ∠D=50°

To find the value of ∠E,

Use triangle ∠ABC, in which eqaute the sum of the angle of a triangle to 180°.

65+90+y=180

y=25

The remaining ∠C =80-25 = 55°

Use exterior angle theorem,

According to this, the sum of two interior angles is equal to an exterior angle.

x=50+55

x=105°

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Based on the information, f(t) is increasing on [0,1) and decreasing on (1,4].

It should be noted that to find where the function is increasing and decreasing, we need to find the intervals where the derivative is positive or negative, respectively.

a. h'(x) = 3 > 0 for all x, so h(x) is increasing on (-∞, ∞).

b. h'(x) = 4x + 1 > 0 when x > -1/4, so h(x) is increasing on (-1/4, ∞). h'(x) = 4x + 1 < 0 when x < -1/4, so h(x) is decreasing on (-∞, -1/4).

c. f'(x) = 6x > 0 when x > 0, so f(x) is increasing on (0, ∞). f'(x) = 6x < 0 when x < 0, so f(x) is decreasing on (-∞, 0).

a. f(t) = 20t - 40√t + 50, f'(t) = 20 - 20/√t.

f'(t) > 0 when √t < 1, or t < 1. f'(t) < 0 when √t > 1, or t > 1.

Therefore, f(t) is increasing on [0,1) and decreasing on (1,4].

This means that during the first hour (from 6am to 7am), the average speed of the vehicle is increasing, while during the remaining 3 hours (from 7am to 10am), the average speed is decreasing.

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