algebra 1 : ordered pairs kinda dont get it

Using the conversion factor, Joselyn bought 2700 grams of chocolate candy

A conversion factor is a numerical ratio used to convert a measurement from one unit to another. It is a mathematical expression that is used to convert a quantity expressed in one unit of measure into an equivalent quantity expressed in another unit of measure.

To convert 2.7 kg to grams, Joselyn would use a conversion factor between kilograms and grams. The conversion factor is 1000 grams per 1 kilogram, which means there are 1000 grams in one kilogram.

So, to convert 2.7 kg to grams, Joselyn would multiply 2.7 kg by the conversion factor

2.7 kg x 1000 g/kg = 2700 g

Learn more about conversion factor here

brainly.com/question/30640854

#SPJ4

The volume of the baseball, to the nearest cubic inch, is A. 6 inches³

The volume of a sphere is calculated by the formula:

= 4/3 x π x radius ³

A baseball is a sphere and in this case its radius is 1.13 inches.

The volume of the baseball is:

= 4/3 x 22/7 x 1.13³

= 4/3 x 22/7 x 1.442897

= 6.0464 inches³

To the nearest inch it is:

= 6 inches ³

In conclusion, the volume of the baseball is 6 inches.

Find out more at https://brainly.com/question/13010008.

Answer:

$4200 is the answer

Step-by-step explanation:

If you multiple $3500x5x2.4

3500x5= 17,500

17,500x2.4= $42,000

Answer:

15% increase

Step-by-step explanation:

to find the percent increase from an initial value to a final value, first find the difference:

2070-1800=270

then divide the difference by the initial value:

270/1800= 0.15

and multiply by 100

0.15*100=15

so there is a 15% increase

The minimum sample size needed to guarantee a given margin of error increases , the correct option is (b) .

What is Margin Of Error ?

The term margin of error is defined as an estimate of a small sample that is drawn from a relatively large population data.

the margin of error is usually governed by the parameters such as the standard deviation , sample size and desired confidence level.

to find missing term in the given statement , let us consider the values ,

where σ ⇒ Standard deviation for population

and m as "Margin of error"  and Z as "Empirical value of Z-score" at a given confidence level .

So , minimum sample size for given confidence level is given by

⇒ (Z×σ)²/m²

from above formula we can conclude that minimum sample size is directly related to population's standard deviation.

Therefore, the minimum sample size required would "increase" with the increase in population "standard deviation" .

Learn more about Margin Of Error here

https://brainly.com/question/29982243

#SPJ4

Answer:

Step-by-step explanation:

favorable events ={5,6}

number of favorable events=2

P=2/6=1/3

Answer:

(6,-8)

Step-by-step explanation:

By rotating the point (-6,-8) Counterclockwise you get the point (6,-8)

Hope it helps

The new coordinates after rotation will be - P'(8, -6)

We have a Point on a X - Y plane as P(-6, -8) which is rotated by 90° counter clockwise about the origin.

We have to determine the image of this point after the rotation.

A rotation is a transformation in a plane that turns every point of a preimage through a specified angle and direction about a fixed point.

According to the question, we have -

A point with coordinates → P(-6, -8)

Any point (say A[x, y]) when rotated 90° counter clockwise about the origin, then its new coordinates become A'(-y, x).

Using this rule, the coordinates of the point after rotation of point by 90° counter clockwise about the origin will be → P'(8, -6)

Hence, the new coordinates will be - P'(8, -6)

To solve more questions on Rotation of points, visit the link below-

https://brainly.com/question/18099572

#SPJ2

Answer:

5.5 or 5 1/2

Step-by-step explanation:

11/2= 5 1/2 or 5.5 (same thing)

The solution to the original equation is approximately 1.4422.

To continue with the bounds found in part d, we need to use the interval [1.4, 1.5] as the initial approximation for the next iteration. Using the Newton-Raphson method, we get the following approximations:

- Iteration 2: x1 = 1.4428
- Iteration 3: x2 = 1.4422

Based on these two iterations, we can conclude that the solution to the original equation is approximately 1.4422. This is because the difference between the approximations in the last two iterations is only 0.0006, which is a small enough difference to suggest that the approximation has converged to a solution.

In other words, the Newton-Raphson method has been successful in finding a solution to the equation f(x) = x^3 - x^2 - x - 1 = 0 within the given interval [1.4, 1.5]. The method works by using the tangent line to the graph of f(x) at each iteration to approximate the root of the equation. By repeating this process, we are able to get closer and closer to the actual solution.  

Learn more about equation brainly.com/question/10413253

#SPJ11

The rectangle with the maximum area, formed by its base on the x-axis and two vertices on the parabola y = 49 - x^2, has dimensions of length 14 units and height 0 units.

To find the dimensions of the rectangle that maximize its area, we need to consider the relationship between the rectangle's dimensions and the parabola.

Let's assume the length of the rectangle is 2x, and the height is y. Since the base of the rectangle lies on the x-axis, the y-coordinate of the two vertices on the parabola will be zero.

Substituting the y-coordinate into the equation of the parabola, we have:

0 = 49 - x^2

Rearranging the equation:

x^2 = 49

Taking the square root of both sides:

x = ±√49

Since we are interested in the positive value of x, we have:

x = 7

Now, substituting this value back into the equation of the parabola, we can find the height:

y = 49 - (7^2)

y = 0

Therefore, the dimensions of the rectangle that maximize its area are:

Length = 2x = 2 * 7 = 14 units

Height = y = 0 units

The rectangle is a degenerate rectangle, which means it has a height of zero. In this case, the maximum area is achieved when the rectangle becomes a line segment on the x-axis with a length of 14 units.

To learn more about line segment visit:

https://brainly.com/question/17374569

#SPJ11

The given question is incomplete, the complete question is,

What are the dimensions of the rectangle that can be constructed with its base on the x-axis and two vertices on the parabola y = 49 - x^2, in order to maximize its area?

Answer:

x=3

Step-by-step explanation:

1st distribute

8x-6-8=4+2x

2nd add

8x-14=4+2x

3rd move like terms

8x-2x=4+14

4th add the numbers

6x=18

5th divide both sides by 6

6x/6=18/6

x=3

Let the price of the hot dogs be x and drink be y.

It is given that you can get 6 hotdogsand 2 drinks for $18.00 so it follows:

Simplify to get:

It is also given that you can get 7 hotdogs and 8 drinks for $46.50 so it follows:

Multiply (i) by 8 to get:

Subtract (ii) from (iii) to get:

Substitute x=1.5 in (i) to get:

Hence the cost are:

1.5$ per hotdog.

4.5$ per drink.

The number of people are 72.

Highest Common Factor is the full name for HCF in mathematics.

According to the laws of mathematics, the highest positive integer that divides two or more positive integers without leaving a residual is known as the greatest common divisor, or gcd.

Least Common Multiple is the full name for LCM in mathematics.

LCM (a,b) in mathematics stands for the least common multiple, or LCM, of two numbers, such as a and b. The smallest or least positive integer that is divisible by both a and b is known as the LCM.

We need to know the size of the pieces in order to calculate how many people can be fed equal-sized pieces of cake from a 16 by 18-inch cake.

Assume that each piece is a square with sides measuring "x" in length. Each piece's area would be x², and the cake's overall area would be 16 x 18 inches, or 288 square inches.

We must divide the entire area of the cake by the area of each piece to determine the maximum number of pieces that can be cut from the cake:

288 / x² = (16*18) / x² = 288 / x²

Choosing a "x" value that evenly splits into 16 and 18 is necessary if we want every piece to be the exact same size. Since 2 is the greatest possible value, we can divide the cake into 8 rows of 9 squares, yielding a total of 72 pieces.

As a result, a cake measuring 16 inches by 18 inches can be divided into 72 equal-sized pieces, each measuring 2 inches by 2 inches.

To know more about HCF visit:

https://brainly.com/question/29114178

#SPJ1

We can serve 18 people equal-sized pieces of cake from a cake that is 16 inches by 18 inches, assuming each piece is a square and we want the pieces to be exactly the same size.

A two-dimensional figure, form, or planar lamina's area is a measurement of how much space it takes up in the plane.

To find out how many people can be served equal-sized pieces of cake from a cake that is 16 inches by 18 inches, we need to first determine the size of each piece of cake.

The total area of the cake is:

16 inches x 18 inches = 288 square inches

To divide the cake into equal-sized pieces, we need to determine the size of each piece. Let's assume we want each piece to be a square. To find the size of each square, we need to find the square root of the total area of the cake:

√(288 square inches) ≈ 16.97 inches

Since we want the pieces to be exactly the same size, we'll round down to the nearest inch, which gives us:

Each piece of cake will be approximately 16 inches by 16 inches.

To find out how many people can be served equal-sized pieces of cake, we need to divide the total area of the cake by the area of each piece:

288 square inches ÷ (16 inches x 16 inches) = 18

Therefore, we can serve 18 people equal-sized pieces of cake from a cake that is 16 inches by 18 inches, assuming each piece is a square and we want the pieces to be exactly the same size.

Learn more about area on:

https://brainly.com/question/16519513

#SPJ1

Answer:

$88

Step-by-step explanation:

75+84+105 = 264

264/3 = 88

Answer:

the ability of an object or material to resume its normal shape after being stretched or compressed; stretchiness.

Step-by-step explanation:

Answer:

the ability of an object or material to resume its normal shape after being stretched or compressed

The true statement is (b): there exists a positive real number x such that for all positive real numbers y, xy < y^2.

To see why (a) is false, consider the case where x=0. Then for any y>0, xy = 0 and y^2 > 0, so xy < y^2 is not satisfied.

To prove (b), we can choose x=1. Then for any positive real number y, we have 1y = y, and y^2 > y, so xy < y^2 is satisfied. Therefore, there exists a positive real number x (namely, x=1) such that for all positive real numbers y, xy < y^2.

what is numbers?

Numbers are mathematical objects used to represent quantities or values. There are several types of numbers, including natural numbers (1, 2, 3...), integers (..., -2, -1, 0, 1, 2, ...), rational numbers (fractions), real numbers (numbers that can be expressed as a decimal, including both rational and irrational numbers), and complex numbers (numbers of the form a + bi, where a and b are real numbers and i is the imaginary unit, which is defined as the square root of -1). Numbers are used in a wide variety of fields, including mathematics, science, engineering, economics, and finance, to name a few.

To learn more about numbers visit:

brainly.com/question/17429689

#SPJ11

The total number of students who failed the exam when the total students who gave the exams are 500 is 200

Total number of students who gave the exam = 500

The ratio of those who passed and failed is 6:4

To solve ratio

Let the number of students who passed the exam be 6x

And the number of students who failed the exam is 4x

Total student = 10x

A student who passed the exam = (500 × 6x)/10x

A student who passed the exam = 300

Number of student who failed the exam = 500 - 300
Number of student who failed the exam = 200

To know more about number click here :

https://brainly.com/question/17429689

#SPJ4

The question in Spanish and the question in English is :

500 students in the marketing and logistics career solved a mathematics exam in which the ratio of those who passed and failed was 6:4 How many students failed the exam

The linear equation y = 4x - 10 represents the graph z. Then the correct option is D.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

\(\text{y}=\text{mx}+\text{c}\)

Where m is the slope of the line and c is the y-intercept of the line.

The linear equation is given below.

\(\sf y - 6 = 4(x - 4)\)

Convert the equation into slope-intercept form. Then we have:

\(\sf y - 6 = 4(x - 4)\)

\(\sf y - 6 = 4x - 16\)

\(\sf y = 4x - 16 + 6\)

\(\sf y = 4x - 10\)

The slope of the line is 4 and the y-intercept of the line is negative 10. Then the equation represents the graph z, then option D is correct.

More about the linear equation link is given below.

https://brainly.com/question/32634451

y – 6 = 4(x - 4)

Which of the following shows a graph of the equation above?

Answer:

Angle 1, angle 3 and angle 7 will be the equal angles.

Step-by-step explanation:

In the figure attached,

Two lines are parallel and a transversal line is intersecting these parallel lines.

Congruent angles to the angle measuring 124° will be,

m(∠7) = 124° [Vertical angles]

m(∠1) = 124° [Corresponding angles]

m(∠3) = 124° [Alternate interior angles]

Therefore, ∠1, ∠7 and ∠3 will measure the same as 124°.

Answer:

Your answer is: A) x 5/6

Step-by-step explanation:

Hope this helped : )

Answer:

its the first one

Step-by-step explanation:

Step-by-step explanation:

Graph 1 is a parabola and has 2 x points and a turning point

meaning it has a minimum and a maximum point.

conclave points are the highs and lows, once you show this in table then you can interpreted them on a graph see the examples attached.

Graph 1 is opposite to shown interpreted conclave so instead of --c++

we write  + + c - - and draw on quadrant 1 instead of quadrant 3

graph 2 is decreasing so instead of -+ c then + + it would show + -  c then - - so the curve stays in quadrant 3 and 4. Also where c is we draw a 0 and say whether it is minimum or maximum point.

Both graph 1 and 2 demonstrate minimum points for their f(x) for c.

so in your workings within the table you write min as seen in red within the attachment. They wrote max, but you write min as you are in decreasing conclave fx values that reach min point c then they increase and become parabolas.

The function which can be used to determine the amount of money he has left over after x rides is f(x)=-2x+70.

This function is linear. A linear variable function can be written in the form of y=f(x)=a+bx, where a and b are integers and x, is the variable. This function has one independent variable and one dependent variable. In the above given function y=f(x)=a+bx; y is the dependent variable and x is the independent variable.

Here since x number of rides are taken and the cost per ride is x so the total cost of x rides is given as 2x.

Since there is a total of $100 and an amount of ($10+$20=$30) is spent on entry and food respectively.

Therefore, total amount left after all the expenses can be expressed as:

f(x)=100-(30+2x)

f(x)=70-2x

f(x)=-2x+70

Therefore, function which can be used to determine the amount of money he has left over after x rides is f(x)=-2x+70.

Learn more about Function at:

brainly.com/question/10439235

#SPJ4

Answer:

0.375 ft

Step-by-step explanation:

15 / 60 = 0.25

0.25 x 1.5 = 0.375 ft

Answer:

3/8 feet

Step-by-step explanation:

1 minute = 60 seconds

60 seconds = 15 feet

Divide by 60 on BOTH sides

1 second = 1/4 feet

Divide by 2 on both sides

0.5 second = 1/8 feet

1.5 seconds = 1 second + 0.5 second = 1/4ft + 1/8ft = 2/8ft + 1/8ft = 3/8ft

Hope this helps :)

We would need at least 1 tube in the heat exchanger.

To determine the number of tubes needed in the shell and tube process heater, we can use the equation for heat transfer:

Q = m * Cp * ΔT

Where:
Q is the heat transfer rate (600 kW)
m is the mass flow rate of water
Cp is the specific heat capacity of water (4180 J/kg.°C)
ΔT is the temperature difference (90°C - 20°C = 70°C)

First, we need to calculate the mass flow rate of water:

m = Q / (Cp * ΔT)
m = 600000 / (4180 * 70)
m ≈ 2.32 kg/s

Next, we need to calculate the cross-sectional area of a single tube using the inner diameter:

A = π * (d/2)^2
A = π * (0.01/2)^2
A ≈ 0.0000785 m^2

To find the velocity of water, we can use the equation:

V = m / (ρ * A)

Where:
V is the velocity of water
ρ is the density of water (1000 kg/m³)

V = 2.32 / (1000 * 0.0000785)
V ≈ 29.55 m/s

Since the velocity of water should not exceed 3 m/s, we need to reduce the number of tubes to achieve this. We can calculate the new cross-sectional area of a single tube using the desired velocity:

A' = m / (ρ * V)
A' = 2.32 / (1000 * 3)
A' ≈ 0.000773 m^2

Now, we can calculate the new number of tubes needed:

Number of tubes = Total cross-sectional area / New cross-sectional area
Number of tubes = Total cross-sectional area / (π * (d/2)^2)
Number of tubes = 0.0000785 / 0.000773
Number of tubes ≈ 0.101 tubes

Since we cannot have a fraction of a tube, we would need to round up to the nearest whole number. Therefore, we would need at least 1 tube in the heat exchanger.

Know more about heat exchanger:

https://brainly.com/question/12973101

#SPJ11

The amount that Benjamin must save every month to pay off the discounted premium is $ 40. 80

The total premium for the year would be $ 637. 20

The amount that Benjamin's discounted premium would come to for the year is:

= 1, 080 x ( 1 - 66 %)

= $ 367. 20

The amount he would need to save every month on deployment is :

= 367. 20 / 9

= $ 40. 80

His total premium would be :

= 367. 20 + ( 1, 080 / 12 x 3 months when he comes back )

= $ 637. 20

Find out more on premiums at https://brainly.com/question/777534

#SPJ1

Problem 5:  V = π ∫[(5x - x^2)^2] dx from 0 to 5

Problem 7:  V = π ∫[(49y^2 - y^6)] dy from 0 to √7

Problem 9:  V = π ∫[(144 - 4y + y^2/36) - (144 - 8y + y^2/9)] dy from 0 to 12

How to find the volume V of the solid formed by rotating region inside the first quadrant                                             Problem 5: To find the volume V of the solid formed by rotating the region inside the first quadrant enclosed by y=x^2 and y=5x about the x-axis, we use the disk method.
Step 1: Find the intersection points of the two curves:
x^2 = 5x
x(x - 5) = 0
x = 0 or x = 5
Step 2: Set up the integral for the volume using the disk method:
V = π ∫[h(x)]^2 dx from a to b, where h(x) = 5x - x^2
a = 0 and b = 5
Step 3: Calculate the integral:
V = π ∫[(5x - x^2)^2] dx from 0 to 5
Step 4: Evaluate the integral to find the volume.

How to find the volume V formed by rotating the region enclosed by the curves by washer method?
Problem 7: To find the volume V formed by rotating the region enclosed by the curves y^3 = x and x = 7y with y > 0 about the y-axis, we use the washer method.

Step 1: Solve for x in both equations and find the intersection points:
x = y^3 and x = 7y

Step 2: Set up the integral for the volume using the washer method:
V = π ∫[(7y)^2 - (y^3)^2] dy from a to b, where a and b are the limits of integration                                    
Step 3: Find the limits of integration by setting y^3 = 7y:
y^3 - 7y = 0
y(y^2 - 7) = 0
y = 0 or y = √7
a = 0 and b = √7
Step 4: Calculate the integral:
V = π ∫[(49y^2 - y^6)] dy from 0 to √7
Step 5: Evaluate the integral to find the volume.

How To find the volume of the solid obtained by rotating the region bounded by the curves by washer method?
Problem 9: To find the volume of the solid obtained by rotating the region bounded by the curves y = 3x, y = 6x, and y = 12 about y = 12, we use the washer method.

Step 1: Solve for x in both equations:
x = y/3 and x = y/6
Step 2: Set up the integral for the volume using the washer method:
V = π ∫[(12 - y/6)^2 - (12 - y/3)^2] dy from a to b, where a and b are the limits of integration
Step 3: Find the limits of integration by setting 3x = 6x:
y = 12
a = 0 and b = 12
Step 4: Calculate the integral:
V = π ∫[(144 - 4y + y^2/36) - (144 - 8y + y^2/9)] dy from 0 to 12
Step 5: Evaluate the integral to find the volume.

Learn more about volume by integrals.

brainly.com/question/30376753

#SPJ11

Question 1-

To determine which two points would a line of fit go through to best fit the data on the scatter plot, we need to visually analyze the pattern of the data points and choose two points that the line would pass through to represent the overall trend.

Without the actual scatter plot provided, I am unable to directly analyze it. However, based on the given answer choices:

A. (1,9) and (9,5)

B. (1,9) and (5,7)

C. (2,7) and (4,3)

D. (2,7) and (6,5)

Since I don't have the scatter plot, I cannot accurately determine which points would best fit the data. I would recommend carefully reviewing the scatter plot and selecting the two points that seem to represent the general trend or pattern of the data. The two points that form a line that closely follows the general direction of the data points would be the best choices.

Question 2-

To determine the slope of the relationship between the number of hours Laila danced, x, and the money she raised, y, we need to examine the graph and calculate the slope using the formula:

Slope = (change in y) / (change in x)

However, since the graph is not provided, it is not possible to directly calculate the slope. However, we can still evaluate the given answer choices based on their explanations:

A. The slope is 1/4, which means that the amount the student raised increases by $0.75 each hour.

B. The slope is 4, which means that the amount the student raised increases by $4 each hour.

C. The slope is 12, which means that the student will finish raising money after 12 hours.

D. The slope is 20, which means that the student started with $20.

From the explanations provided, it seems that option B would be the most reasonable choice. A slope of 4 would indicate that for each additional hour Laila danced, she raised $4. However, without the actual graph, it is challenging to confirm the accuracy of the answer choice or its real-world interpretation.

Answer:

891

Step-by-step explanation:

v=bh which is base-9x11=99 height=9 so,

v-99x9=891