Victor has been saving up money to buy the new iPhone 14 Pro Max , which retails for $ 1099 . He currently has from Lunar New Year , and started working as a tutor for $ 50 a week . The amount of money he has in his savings account can be modeled by V(w) = 50w + 500 where V(w) is the amount he has for w weeks of working as a tuto State the value of the slope and y - intercept . a b . What is the meaning of the slope and y - intercept ? How many weeks will he have to work to buy the new iPhone 14 Pro Max ?

Answer:

The Ratios, Rate and unit rate are used to solve many real-world problems.

Step-by-step explanation:

As a ratio is a comparison of two numbers or measurements.

A rate is also a ratio in which the two terms are in different units.

A unit rate means a rate for one of something

Answer:

In mathematics, a function is a binary relation between two sets that associates each element of the first set to exactly one element of the second set. Typical examples are functions from integers to integers, or from the real numbers to real numbers.

Ex 1: x2 (squaring) is a function.

Ex 2: x3+1 is also a function.

Step-by-step explanation: really hope this helps.

Answer:

\(8.5x+4y=99.5,\ x+y=17\)

Step-by-step explanation:

\(\mathrm{System\ of\ equations:}\\8.5x+4y=99.5\\x+y=17\\\mathrm{where,}\ x\ \mathrm{is\ the\ number\ of\ popcorns\ and\ }y\mathrm{\is\ the\ number\ of\ candies}\)

Step-by-step explanation:

-80 is less than 0.

+76 is more than 0.

-8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4

-12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2

Answer:

1/4

Step-by-step explanation:

Let x = number the spinner lands on

P(X = 1) = 1/4

P(X = 2) = 1/4

P(X = 3) = 1/4

P(X = 4) = 1/4

The spins are independent events as their probabilities are not affected by whether or not the other event happens

Therefore, the probability that you land on a number 2 given that your first spin landed on number 1 is still 1/4

Answer:

b

Step-by-step explanation:

edge

The area of triangle ADE is,

⇒ A = 48 square units

We have to given that,

In the diagram , DE is a midsegment of triangle ABC.

And, The area of triangle ABC is 96 square units

Now, We know that,

Since DE is a midsegment of triangle ABC, it is parallel to AB and half the length of AB. Therefore, DE is half the length of AB.

Hence, the area of triangle ADE is half the area of triangle ABC,

That is,

A = 96 / 2

A = 48 square units

Thus, The area of triangle ADE is,

⇒ A = 48 square units

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Answer:

5/12

Step-by-step explanation:

Use associative property of addition:

2/5 + 5/12 + (-2/5) = (2/5 + (-2/5)) + 5/12  ==> switch 5/12 and -2/5

(2/5 + (-2/5)) + 5/12 =    ==> simplify

(2/5 - 2/5) + 5/12 =

0 + 5/12 = 5/12

9514 1404 393

Answer:

  0.195 ft/min

Step-by-step explanation:

The rate of change of height is equal to the rate of change of volume, divided by the base area.

  base area = (π/4)d² = (π/4)(14 ft)² = 49π ft² ≈ 153.94 ft²

Then the rate of change of height is ...

  (30 ft³/min)/(153.94 ft²) ≈ 0.19488 ft/min ≈ 0.195 ft/min

_____

That's about 2.34 inches per minute.

Answer:

commutative property of multiplication

Step-by-step explanation:

Name the property used: commutative property of multiplication

Answer: commutative property of multiplication

The simplified expression of x(3x + 5)-5(2x - 1) is 3x² - 5x + 5

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

x(3x + 5)-5(2x - 1)

Open the brackets

So, we have

3x² + 5x - 10x + 5

Evaluate the like terms

So, we have

3x² - 5x + 5

Hence, the simplified expression is 3x² - 5x + 5

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Answer:

\(y=-\frac{4}{5}x-\frac{21}{5}\)

Step-by-step explanation:

The fastest way is to use point-slope form with \(m=-\frac{4}{5}\) and \((x_1,y_1)=(-4,-1)\):

\(y-y_1=m(x-x_1)\\y-(-1)=-\frac{4}{5}(x-(-4))\\y+1=-\frac{4}{5}(x+4)\\y+1=-\frac{4}{5}x-\frac{16}{5}\\y=-\frac{4}{5}x-\frac{21}{5}\)

To graph the line passing through (-4,-1) with slope m = -4/5, we can use the slope-intercept form of the equation of a line, which is:

y = mx + b

where m is the slope and b is the y-intercept.

Substituting m = -4/5, x = -4, and y = -1, we can solve for b:

-1 = (-4/5)(-4) + b

-1 = 3.2 + b

b = -4.2

Therefore, the equation of the line is:

y = (-4/5)x - 4.2

To graph the line, we can plot the given point (-4,-1) and then use the slope to find additional points. Since the slope is negative, the line will slope downwards from left to right. We can find the y-intercept by setting x = 0 in the equation:

y = (-4/5)x - 4.2

y = (-4/5)(0) - 4.2

y = -4.2

So the y-intercept is (0,-4.2).

Using this point and the given point (-4,-1), we can draw a straight line passing through both points.

Here is a rough sketch of the graph:

     |

     |

     |     *

     |    /

     |   /

     |  /

-----*--------

     |

     |

     |

     |

     |

The point (-4,-1) is marked with an asterisk (*), and the y-intercept (0,-4.2) is marked with a dash. The line passing through these two points is the graph of the equation y = (-4/5)x - 4.2.

Answer:

3 +2 = 5 and 12 + 5 = 17

Step-by-step explanation:

i hope this helps im not sure if its frght or if it helps sorry if its wrong.

Answer:

C

Step-by-step explanation:

The quotient of a number and twelve plus four would be n/12 + 4 and not 12/n + 4

Answer:

C

Step-by-step explanation:

The quotient of a number and twelve plus 4 would be represented as n/12+4

Answer: 180 i think

Step-by-step explanation: .5*200+.2X=.3(200+X)

100+.2X=60+.3X

.2X-.3X=60-100

-.1X=-40

X=-40/-.1

X=400 OUNCES OF 20% COPPER.

PROOF

.5*200+.2*400=.3(200+400)

100+80=.3*600

100+80=180

180=180

Answer: 100 ounces of the alloy.

Step-by-step explanation: To solve, we create an equation:

First, though, let's define some variables and values -

x = amount of the alloy we are trying to find

0.3 = 30% copper

0.6 = 60% copper

50 = 50 ounces of the alloy

0.3(x) + 0.6(50) = 0.4(x+50) - original equation

0.3x + 0.6*50 = 0.4x + 0.4*50 - expanded

subtract 0.3x and 0.4*50 on both sides to get...

0.2*50 = 0.1x - simplified

calculate...

10 = 0.1x - simplified

divide both sides by 0.1 to get...

100 = x --> x = 100

The regression equation is calculated as: ŷ = -0.99299X + 26.39918

How to solve for the regression equation

We have these data for the x axis

12 15 20 22 15 8 6 17

These are the values for the y axis

17 15 6 7 6 18 21 7

Sum of X = 115

Sum of Y = 97

Mean X = 14.375

Mean Y = 12.125

Sum of squares (SSX) = 213.875

Sum of products (SP) = -212.375

Regression Equation = ŷ = bX + a

b = SP/SSX = -212.38/213.88 = -0.99299

a = MY - bMX = 12.13 - (-0.99*14.38) = 26.39918

ŷ = -0.99299X + 26.39918

These values where inputted into a regression analysis calculator and the output is ŷ = -0.99299X + 26.39918

By graphing both equations and finding where the graphs intercept, we can see that the solution for the system is x = 3.

Here we have the functions:

f(x) = -2x +4

g(x) = 2x - 8

We want to find the value of x such that:

f(x) = g(x).

If we graph the two functions, we just need to identify the x-value of the point where the functions intercept.

The graph can be seen in the image below.

There we can see that the graphs intercept at (3, -2), meaning that the solution of:

f(x) = g(x) is x = 3.

Which is the same thing that if we write:

f(x) = g(x)

-2x + 4 = 2x - 8

4x = 12

x = 12/4 = 3

x = 3

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If the water snake is initially 30 meters below the ground level and then climbs 20 meters upward, it will be 30 - 20 = 10 meters below the ground level. However, if it then slips down 10 meters, it will be 10 + 10 = 20 meters below the ground level.

Complete question is;

The polynomial -16t² + v_o(t) + s_o represents the height (in feet) of an object, where v_o is the initial vertical

velocity (in feet per second), s_o is the initial height of the object (in feet), and t is the time in seconds. Write a polynomial that represents the height of the object that has an initial velocity of 25 ft/s and initial height of 4ft. Then find the height of the object after 1 second.

Answer:

A) Polynomial is h(t) = -16t² + 25t+ 4

B) h(1) = 13 ft

Step-by-step explanation:

A) We are given;

h = -16t² + v_o(t) + s_o

Where;

v_o = the initial vertical velocity

s_o = the initial height of the object

t = the time

We are given;

v_o = 25 ft/s

s_o = 4 ft

Thus, polynomial that represents the height is;

h(t) = -16t² + 25t+ 4

B) after a time of 1 second, height is;

h(1) = -16(1²) + 25(1) + 4

h(1) = -16 + 25 + 4

h(1) = 13 ft

As the triangles are similar to each other, using congruent theorem, we get the value of side JK = 63.8.

Comparable triangles are those that resemble one another but may not be precisely the same size. Comparable items are those that share the same shape but differ in size.

This shows that when shapes are amplified or demagnified, they superimpose one another. This feature of similar shapes is often known as "similarity".

As per the triangles,

Let JK be = x.

GF/GH = JI/JK

⇒ 11/18 = 36 /x

⇒ x = 36 × 18/11

⇒ x = 63.8.

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Yes, the relationship is proportional and the slope is 1000/3. The unit rate is also 1000/3. So, slope is directly proportional to the unit rate. Since, slope=unit rate.

When the ratio is expressed as a quotient, the same number is provided for every pair of distinct points on the same line ("rise over run"). In a diagram that shows a roof or a road as a description or a plan, the line may be practical as determined by a road surveyor; on a falling line, there is a negative "rise."

The slope's absolute value can be used to estimate a line's steepness, incline, or grade. The slope of a line in the plane that includes the x and y axes is commonly represented by the letter m and is defined as the difference between the y coordinate and the equivalent difference in the x coordinate between two distinct points on the line.

The sales are directly proportional to the number of days

The slope of the lines is given by (3, 1000), (6, 2000)

Slope=(2000-1000)/(6-3)

Slope=1000/3

From the graph given,

$1000 is obtained on 3 days.

Therefore, the unit rate is 1000/3

Therefore, Slope=unit rate=1000/3

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Step-by-step explanation:

2×+6 + 5 = X+10

2x -x =10 -11

x= - I

BC = 2(-1) + 6=4

AC = -1+10 = 9

Answer:

Step-by-step explanation:

Given:

  c/2 -5 = 7

  Step 1: c/2 -5 +5 = 7 +5

  Step 2: c/2 +0 = 12

  Step 3: c/2 = 12

  Step 4: 2(c/2) = 12(2)

  Step 5: c = 24

Find:

  The property that justifies each step of the solution.

Solution:

  Step 1: addition property of equality (lets you add the same to both sides)

  Step 2: integers are closed to addition

  Step 3: identity property of addition (adding 0 changes nothing)

  Step 4: multiplication property of equality

  Step 5: closure of real numbers to multiplication; identity property of multiplication

_____

It is hard to say what "property" you want to claim when you simplify an arithmetic expression. Above, we have used the property that the sets of integers and real numbers are closed to addition and multiplication. That is, adding or multiplying real numbers gives a real number.

In Step 5, we can rearrange 2(c/2) to c(2/2) using the commutative property of multiplication. 2/2=1, and c×1 = c. The latter is due to the identity element for multiplication: multiplying by 1 changes nothing.

Apart from the arithmetic, the other properties used are properties of equality.  Those let you perform any operation on an equation, as long as you do it to both sides of the equation. The operations we have performed in this fashion are adding 5 and multiplying by 2.

Answer:

Step 1 ~ addition property of equality

Step 2 ~ additive inverses

Step 3 ~ additive identity

Step 4 ~ multiplication property of equality

Explanation:

Addition property of equality means that If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal. In this problem, they added 5 to both sides to make the equation balanced.

Additive inverses means what you add to a number to get zero.  The negative of a number. -5 + 5 = 0.

Additive identity means that the sum of a number and 0 is that number.

Multiplication property of equality states that when you multiply both sides of an equation by the same number, the two sides remain equal. In this problem, they multiplied 2 to both sides to get rid of the denominator in the fraction.

The density of an irregularly shaped object with a mass of 6.05 g is 5.50 g/mL.

We have to determine the density of an irregularly shaped object with a mass of 6.05 g.

The volume of the strangely formed object is the volume it displaces.

The volume displaced is the difference between the starting volume of water and the final volume of water when the object is submerged.

The value can be taken as 3.15 mL because the final volume of water in the diagram is between 3.10 and 3.20 mL.

Volume of object = volume displaced

Volume of object = final volume - initial volume

Volume of object = 3.15 mL - 2.05 mL

Volume of object = 1.10 mL

The following formula can then be used to calculate the object's density:

Density = mass / volume

Density = (6.05 g) / (1.10 mL)

Density = 5.50 g/mL

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The complete question is:

A student needs to determine the density of an irregularly shaped object with a mass of 6.05 g.

Part A: The student fills a 10 mL graduated cylinder with deionized water. Use the image below to determine the volume of water in the graduated cylinder.

Report the answer to the correct number of significant figures. Initial volume of water = 2.05 mL

\(\huge\textsf{Hey there!}\)

\(\mathsf{1\times1=1}\\\\\bullet\large\textsf{This statement is TRUE because anything times (or multiplied)\ by 1}\\\large\textsf{is mostly likely 1}\)

\(\mathsf{1+9=2\times5}\\\mathsf{1+9=\bf 10}\\\mathsf{2\times5}\\\mathsf{= 5+5}\\\mathsf{= 2 + 2 + 2 + 2 + 2}\\\mathsf{= \bf 10}\\\\\\\bullet\large\textsf{This statement is also TRUE because BOTH NUMBERS are EQUIVALENT}\\\large\textsf{to EACH OTHER}\)

\(\mathsf{1 + 9 + 17 = 9\times3}\\\\\mathsf{1+9+17}\\\mathsf{1 + 9 = \bf 10}\\\mathsf{\bold{10}+ 17}\\\mathsf{= \bf 27}\\\\\\\\\\\mathsf{9\times3}\\\mathsf{= 9+9+9}\\\mathsf{3 +3 +3 +3+ 3 +3 + 3 + 3+ 3}\\\mathsf{= \bf 27}\\\\\\\\\\\bullet\large\textsf{This statement as well is TRUE because BOTH NUMBERS are}\\\large\textsf{equivalent to each other}\)

\(\boxed{\boxed{\large\textsf{ANSWER: All statements to these equations are \bf \huge TRUE}}}\huge\checkmark\)

\(\large\textsf{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

2

Step-by-step explanation:

Count how many edges use that vertex as an endpoint. In this case B and E.

Answer:

24

Step-by-step explanation:

Do the equation in the () first, 8+4 = 12, and 12 x 2 = 24

Answer:

  27x³y³z³

Step-by-step explanation:

The volume of a cube is the cube of the edge length:

  V = (3xyz)³ = 3³x³y³z³

  V = 27x³y³z³

Since we can't have a fractional number of lines, Citywide can sign up for a maximum of 1 line and still stay within their budget.

Let's start by calculating the total amount Citywide pays for their telephone costs without the federal excise tax. We can do this by subtracting the 3% tax from the total budget:

$190 / 1.03 = $184.47

The $96 budget plan includes 4,000 minutes, which means that each minute costs:

$96 / 4,000 = $0.024

If Citywide wants to stay within their budget, they need to make sure that the total cost of the lines they sign up for plus the federal excise tax is less than or equal to $190.

Let's represent the number of lines Citywide signs up for as "n". The total cost of the lines plus tax can then be represented as:

n * $96 * 1.03

Setting this expression less than or equal to $190, we get:

n * $96 * 1.03 <= $190

Simplifying, we get:

n <= $190 / ($96 * 1.03)

n <= 1.945

Thus, Citywide can sign up for a maximum of 1 line and still stay within their budget.

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