Graph the linear equation q(x)=-3x+1

Answers

Answer 1

The linear function q(x) = -3x + 1 is graphed and attached

How to graph the linear function

The graph of the linear function is a straight line graph and the table of values used in making the plot is calculated as follows

For x = -20,  q(x) = -3 * -20 + 1 = 61

For x = -10,  q(x) = -3 * -10 + 1 = 31

For x = 0,  q(x) = -3 * 0 + 1 = 1

For x = 10,  q(x) = -3 * 10 + 1 = -29

For x = 20,  q(x) = -3 * 20 + 1 = -59

Table of values

x     y

-20  61

-10    31

0      1

10     -29

20    -59

These points are plotted in the cartesian coordinate by tracing the point of intersection of the x and y and marking it. Then the marked points are joined together to form a straight line

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Graph The Linear Equation Q(x)=-3x+1

Related Questions

Write as an radical expression
U 2/5

Answers

Answer:

Step-by-step explanation:

An radical expression usually involves a radicand which is the number or expression inside the radical symbol √ and an index which is the number outside the radical symbol indicating the root, the radicand raised to the power of the reciprocal of the index.

But in the case of expression "U-2/5" it's not a radical expression as is. It's a fractional expression with variable U and a constant -2/5.

It can be written as √(U-2)/5 or U- √(2/5) if you want to express it as an radical expression.

Is 1 1/3 an irrational number?

Answers

Yes 1 1/3 is an irrational number correct

What is the value of f(x) = –x2 + 3 when x = 1?

Answers

Refer to the image attached.

(3,4) m=0

Formula
Y-y=m(x-x1)

Answers

Answer:

[tex]y1 = 4 \\ x1 = 3[/tex]

[tex]y - y1 = m(x - x1)[/tex]

[tex]y - 4 = 0(x - 3)[/tex]

[tex]y - 4 = 0[/tex]

[tex]y = 4[/tex]

In Mrs. Austin's science class, 37.5% of the students have compleated their science project. Of the remaining students, 40% have compleated only half of their science project. If there are 32 students in Mrs. Austin's science class, how many of these students have compleated half of their science project?

Answers

well, we know that 37.5% have finished it, that leaves unaccounted for 100% - 37.5% = 62.5%.

now, of those 62.5% fellows only 40% have finished only half of it, how many are those?

well, what's 62.5% of 32?   what's 40% of that much?

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{62.5\% of 32}}{\left( \cfrac{62.5}{100} \right)32}\implies 20 ~\hfill \stackrel{\textit{40\% of 20}}{\left( \cfrac{40}{100} \right)20}\implies \text{\LARGE 8}[/tex]

Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options. 2.3p – 10.1 = 6.4p – 4 2.3p – 10.1 = 6.49p – 4 230p – 1010 = 650p – 400 – p 23p – 101 = 65p – 40 – p 2.3p – 14.1 = 6.4p – 4

Answers

Two equations that have the same solution as the given equation are;

2.3p – 10.1 =  6.49p – 4

230p – 1010 = 650p – 400 – p

What is Multiplication property of equality?

Both sides of an equation will remain equal, when both sides are

multiplied by the same amount.

The given equation: 2.3·p - 10.1 = 6.5·p - 4 - 0.01·p

Simplifying the above equation by collecting like terms gives;

2.3·p - 10.1 = 6.5·p - 0.01·p - 4 = 6.49·p - 4

2.3·p - 10.1 = 6.49·p - 4

Multiplying both sides of the original equation by 100 gives

100 × (2.3·p - 10.1) = 100 × (6.5·p - 4 - 0.01·p)

230·p - 1010 = 650·p - 400 - p

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Solve the equation for X,
2 (2) + x = 4
A. x=8
B. x=0
C. x= -4
D. x=4

Answers

Answer: x=0

Step-by-step explanation:

2(2)=4

4+x=4

-4 on both sides

so x=0

Answer:

B) x = 0

Step-by-step explanation:

We will get our equation in here first. Our equation is:

2 * 2 + x = 4

We simplify the multiplication giving us:

4 + x = 4

Finally, we subtract 4 from both sides to find the value of x. We get:

x = 0.

So the correct answer is B) x = 0.

Hope this helped!

An Item costs $450 Before tax. and the sales tax is $31.50
Find the sales tax rate. Write your answer as a percentage

Answers

The tax rate of an Item that costs $450 Before tax. and the sales tax is $31.50 is 7%

What is tax rate?

The tax rate is the percentage of an income or an amount of money that has to be paid as tax.

To find the tax rate of $31.50 from $450

The formula is

Amount taxed/Principal amount x 100

= $31.50/$450 x100

=$3150/450

=7%

Hence, the tax rate is 7%

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Jayda has a vegetable garden. 2/3 of the garden is made up of tomato plants. 4/5 of the tomato plants are beefsteak tomatoes. What portion of the garden is made up of beef steak tomatoes?​

Answers

a) The portion of the garden is made up of beef steak tomatoes is 8.

b) he Equation for beef steak tomatoes is 4/5 x (portion of tomatoes).

What is Fraction?

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.

Given:

Portion of Garden have Tomatoes = 2/3

and, 4/5 of the tomato plants are beefsteak tomatoes.

a) The total section in model is 15.

so, Tomatoes in the garden = 2/3 x 15

                                               = 10

and, the portion of the garden is made up of beef steak tomatoes

= 10 x 4/5

= 8 portion.

b) The Equation for beef steak tomatoes

= 4/5 x (portion of tomatoes)

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Simplify. -15 times the square root of y^2 if y>0

Answers

Answer:

-15y

Step-by-step explanation:

The square root of any squared number is always the number itself.

So in this case, it is -15y

Brainliest please. It'll help a lot.

Answer:

- 15y

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

Simplify the expression:

[tex]-15\sqrt{y^2}[/tex]

We know the square root is never negative and since y is positive, we get:

[tex]-15\sqrt{y^2} =-15y[/tex]

Find a formula for RN for the function f(x) = (5x)² on [-1, 5] in terms of N.

Could you please show the work? I was able to get the area but can't exactly figure out what they want for the formula.

Compute the area under the graph as a limit.

lim RN=1050

Answers

Therefore , R(N) = 100 + 400 (N+1)(2N+1) + 800 x N2 N3 and area are the formulas for R(N) for the function f(x) = (5x)2 on [1, 5] and the function f(x) = (5x)2 in terms of N. R(N) = 767(approx) (approx).

What is function?

Each x value in the domain has one but only one y value range, according to the rule of a function. Definition. If there is only one and only one value of x variable such that f(x) = y, then the function is one-to-one.

Here,

In the given question, we have to find a formula for R(N) for the function f(x) =(5x)^2 on [1, 5] in terms of N.

The given function is f(x)=(5x)^2 on [1, 5].

Ax = (5-1)/N

Ax = 4/N

X = 1+iAx

X = 1+i4/N

f(x) = 25X^2

f(x) = 25(1+i4/N)^2

f(x) = 25(1+i8/N+16/N^2 i^{2})

R(N) = 1ƒ(X) Ax

Now putting the value of f(x) and Ax

R(N)==1 [25 (1+ &i + 16i2)]

R(N) = 1001 (1 +Ni + 16i2)

N100 (1+i+12)N

100 (N += i +122)+16 N(N+1)(2N+1)(+1)(2N+1)

R(N)=100 (N + √2/ N(N+1) x 100

R(N) =2/6× N + 100 × 5 × N(N+1) + 100 x 2

[tex]\lim_{n \to \infty}[/tex] R(N) = 100 + 400 + 800/3

[tex]\lim_{n \to \infty}[/tex] R(N) = 766.67

[tex]\lim_{n \to \infty}[/tex] R(N) = 767(approx)

Therefore , the solution of the given problem of function comes out to be [tex]\lim_{n \to \infty}[/tex] R(N) = 767(approx).

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Question 9 of 10
Which is the largest number?
OA. 5.8 x 10-3
B. 2.5 x 105
о C. 1.9 × 106
OD. 8.7 x 10²

Answers

On solving the provided question, we can say that F= The lifting force is 27135 0.003357*250*180*180 = F=27135, surface area

What is surface area and an illustration?

The total area that all of a 3D object's faces cover is the surface area. The surface area of a cube is its surface area, for instance, if we are trying to determine how much paint is needed to paint it. Always expressed in square units.

The entire surface of a three-dimensional shape is referred to as its surface area. A cuboid with six rectangular faces has a surface area equal to the sum of the areas of each face. Alternatively, you can label the cuboid's length, width, and height (l, w, and h), then calculate its surface area (SA) using the formula: SA=2lw+2lh+2hw.

F= k*a*v^2

a= 250

v=190

30300=k*250*{190^2}

k= 0.03357

F= 0.003357*250*180*180

F=27135

The lifting force is 27135

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Solve the following simultaneous equations by elimination
A) x+y=2
x-y-1=0

B) x+y=5
x-y=7

C) x+y=17
x-y=1

D) 5x+y=29
5x-y=11

Answers

Answer:

0

8

0

9

0

9

9

098098809667906432

Anusha starts from her home p goes to school S via Q, R. Find the total displacement made by her to go from her home to school.

Answers

The total displacement made by her to go from home to the school is given by the sum of the distances of P to Q, Q to R and then R to S.

How to obtain the total displacement?

The total displacement is obtained as the distance that she walks to go to the school from her home.

The check-points that she passes to go to the school are given as follows:

P to Q.Q to R.R to S.

Hence the total displacement is given by the sum of each of these distances.

These distances are calculated using the formula for the distance between two points, given as follows:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

In which [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the coordinates of each point.

Missing Information

The problem is incomplete, hence the answer is given in general terms.

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Can any1 help with this pls

Answers

The polygon was reflected over the line y=2

The figure below is a scale drawing of a garden if the scale used is 1/4 inch = 3 feet then what is the peremiter of the actual garden

Answers

Answer:

if the scale used 1/4 inch = 3 feet, then what is the perimeter of the actual garden? AI Recommended Answer: The perimeter of the actual garden is 144 feet.

Step-by-step explanation:

A tree that is 30 tall casts a 40 shadow. What is the distance from the top of the tree to the end of the shadow?

Answers

The distance from the top of the tree of height 30 tall to the end of the shadow is 50.

What is distance?

Distance is the length between two point.

To calculate the distance from the top of the tree to the end of the shadow, we use the formula below.

Note: The tree and the shadow form a right angle.

Formula:

a = √(b²+c²)................. Equation 1

Where:

a = Distance of from the top of the tree to the end of the shadowb = Height of the treec = Length of the shadow

From the question,

Given:

b = 30 c  = 40

Susbtitute these values into equation 1

a = √(30²+40²)a = √(900+1600)a = √2500a = 50

Hence, the distance from the top of the tree to the end of the shadow is 50.

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June is buying a sweater using a coupon offering a 30% discount on items over $99. If the discounted price is $91, how much was the original price of the sweater?

Answers

Answer: 130

Step-by-step explanation:

The original price of the sweater is $303.

What is discount?

A discount is the reduction of either the monetary amount or a percentage of the normal selling price of a product or service.

Given that, June is buying a sweater using a coupon offering a 30% discount on items over $99.

The discounted price is $91

Let the original price of the sweater be x.

So, 30% of x=91

30/100 ×x=91

0.3x=91

x=91/0.3

x=$303

Therefore, the original price of the sweater is $303.

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You're creating plans for a building project, and you use a T-square to create a set of angles from lines that are perpendicular, meaning the lines are at right angles to each other, or ______ degrees? a. 225, b. 45, c. 180, d. 90

Answers

Answer:

d. [tex]90^{\circ}[/tex]

Step-by-step explanation:

This is the definition of perpendicularity.

the average weight of 20 students in a certain school was found to be 165 with a standard deviation of 4.5 a) construct a 90% confidence interval for the population mean

Answers

A 90% confidence interval for the population mean is; CI = (163.355, 166.655)

How to find the confidence Interval?

The formula to find the confidence level here is;

CI = x' ± z(s/√n)

Where;

CI is confidence  level

z-score at confidence level

x' is sample mean

s is standard deviation

n is sample size

We are given;

Sample mean; x' = 165

Sample size; n = 20

standard deviation; s = 4.5

z at CL of 90% = 1.645

Thus;

CI = 165 ± 1.645(4.5/√20)

CI = 165 ± 1.655

CI = (163.355, 166.655)

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A community theater performed a play each Saturday evening for 10 consecutive
weeks. The graph shows the attendance for the performances in weeks 1, 4, 6, and 10.
Describe the rates of change in attendance with respect to time.
Weeks 1-4:
Weeks 4-6:
Weeks 6-10:
300
250
200
150
100
50
y
Attendance
Play Attendance
(4, 230)-
(1,131)
(6,208)
(10,60)
Week of performance
0
0 1 2 3 4 5 6 7 8 9101112

Answers

The rates of change in attendance in week 1-4 is 33, week 4-6 is -11, week 6-10 is -37 people per week

What is rate of change of attendance?

The rate of change in attendance with respect to time is calculated by taking the difference in attendance between two weeks and dividing by the number of weeks between those weeks. This is done to find the average rate of change in attendance per week. The formula used is:

[tex]Rate =\frac{Attendance at week 2 - Attendance at week 1}{week 2 - week 1}[/tex]

Weeks 1-4:

The rate of change in attendance with respect to time is 33 people per week. This can be calculated by taking the difference in attendance between weeks 1 and 4 (230-131) and dividing by the number of weeks between those weeks (4-1 = 3).

[tex]rate =\frac{230-131}{4-1}\\[/tex]

hence rate is 33 people per week

Weeks 4-6:

The difference in attendance between weeks 4 and 6 (230 - 208)

The number of weeks between those weeks (6-4 = 2).

[tex]rate =\frac{208-230}{6-4}[/tex]

Hence rate is -11 people per week

Weeks 6-10:

The difference in attendance between weeks 6 and 10 (60-208)

The number of weeks between those weeks (10-6 = 4).

[tex]rate=\frac{60-208}{10-6}[/tex]

Hence rate is -37 people per week

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Pls help fractions pls and sm else

Answers

Answer:

Step-by-step explanation:

(49/72)-(13/14)

-125/504

In an acid-base titration, a base or acid is gradually added to the other until they have completely neutralized each other. Because acids and bases are usually colorless (as are the water and salt produced in the neutralization reaction), pH is measured to monitor the reaction. Suppose that the equivalence point is reached after approximately 100 mL of a NaOH solution have been added (enough to react with all the acetic acid present) but that replicates are equally likely to indicate from 95 to 104 mL to the nearest mL. Assume that volumes are measured to the nearest mL and describe the sample space. (a) What is the probability that equivalence is indicated at 100 mL? (b) What is the probability that equivalence is indicated at less than 100 mL? (c) What is the probability that equivalence is indicated between 98 and 102 mL (inclusive)?

Answers

Neglecting the fractional points and taking the whole number values for volume, the probability of getting equivalence point at 100 ml is 1/10. The probability of getting less than 100 ml is 1/2.

What is probability?

The probability is the measurement of the chance of an event to happen. It is determined based on the total possibilities and criteria.

Given that the experiment trials got the values from 95 to 104. From 95 to 104, there are 10 numbers. Thus, the volume of the acid can be any of these 10.

Thus, total possibility = 10.

probability of getting 100 = 1/10

There are 5 volumes which are  less than 100 here,  [95, 99]. Thus, the probability = 5/10 = 1/2.

There are 5 values between 98 and 102 including these two values.

Hence, probability of getting these range  = 5/10 = 1/2.

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Please help will mark Brainly

Answers

"Mark as brainiest". Click on the option to mark it the best answer.

how to help mark Brainly?

The site has a Brainly Basic free option, plus a Brainly Plus paid upgrade where users can ask priority questions and receive verified answers, but there's no option to filter out the unverified answers for browsing or searching.

You can filter your search by subject, grade level, or status by clicking on the list of Subjects on the left, or by school level or status from the grey drop-down list in the middle of the page.

Brainly, at its most simple, is a peer-to-peer network of questions and answers. The idea is to help students with homework questions by using others who may have already answered that question.

To be clear, this isn't a set of answers laid out or a group of professionals giving answers. Rather, this is an open forum-style space in which students can post a question and, hopefully, get an answer from the community of others in education.

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- Reason quantitatively. Since all of the information concerning
the dimensions of the flag and its parts are given in terms of the
height, Martha decides to begin her scale drawing by choosing
13 cm for the height. Explain why 13 cm is a good choice for
the height.

Answers

It's a good idea to utilize the 13 cm measurement that Martha used for her scale illustration. This is because it would be simpler to measure the flag's stripes. The American flag has 13 stripes, thus each one is 1 centimeter wide.

What size does a flag have?

Flags can be as big as 20 feet by 38 feet, although most are between 3 feet by 5 feet and 5 feet by 8 feet in size. The standard size for an American flag flown outside a home is 3 x 5.

Why are all flags square?

A flag's rectangular design assures that even a moderate breeze would cause it to move, making it readily apparent to everyone else. Additionally, the shape is efficient in terms of production costs, according to a number of flag designers.

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Find the sum and express it in simplest form.
(-7n² - 8n - 8) + (-n² + 9n + 9)
008
Clear all
Enter the correct answer.
+ BO
DONE

Answers

The simplest form of the given expression is (- 8n² +n +1)

What is simplification?

Simplification is the process of making simple an expression, terms or equations so as to easy for solving or evaluating.

There are some steps for simplification such as removing parenthesis, collecting like terms, addition or subtraction of like terms and so on.

How to find the sum and express in simplest form?

We are given an expression, ( -7n² - 8n -8) + (- n² + 9n +9)

In order to simplify, we first remove the parenthesis and get

- 7n² - 8n -8 - n² + 9n +9

in the next we will collect like terms

- 7n² - n² -8n +9n - 8 +9

We now add or subtract like terms

- 8n² + n+1

this is the simplest form of the given expression.

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which of the following best describes the graph below

Answers

Option A) In the graph for each value of x there is exactly one value of y

So the function is  a One to One function.

What is a function?

A function is a procedure or a relation that links each element of a non-empty set A, at least one element of another non-empty set B, to another element of the first non-empty set A. In mathematics, a relation f between two sets, A and B, is referred to as the function's domain and co-domain. For all values of a and b, f = (a,b)|

A function f is said to be injective if it maps different items in its domain to other elements; for example, f = f implies x1 = x2. Alternatively, every element of the function's codomain is at most one of its domain's elements.

If some function output value corresponds to more than one input value, the function is said to be many-to-one (sometimes written as "many-one"). If the domain of f contains two different values a and b such that f(a)=f, the function f is many-to-one in symbols (b).

In the graph for each value of x there is exactly one value of y

So the function is  a One to One function.

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A bus rental company charges $60 for booking a bus and $120 for each hour the bus is rented. A tour group pays $780 to rent a bus. HELP WANTED TY!!

Select the equation that represents the given situation and find the number of hours the tour group rented the bus.
A. 60x + 120 = 780 ; 11 hours
B. 60x + 120 = 780 ; 6 hours
C. 120x + 60 = 780 ; 11 hours
D. 120x + 60 = 780 ; 6 hours

Answers

The answer is D. 120x + 60 = 6 hours

Answer:d. 120x+60=780

Step-by-step explanation:

120 cost per x hours

Flat Rental cost 60

120x+60=780

-60 as the flat rate which won’t change based on time.

120x=720

Divided by a rate of 120 per hour

x=6 hours

A boat will pass the Colby bridge and the wave bridge on the dell river. Rename each other the two bridge opening times. there are 60 minutes in an hour so use 60 as a common denominator. Then rename each opening time and find another common denominator. Explain how you found your answers.

Answers

The bridge opening times when there are 60 minutes in an hour will be 45/60 and 10/60.

How to illustrate the fraction?

From the information, a boat will pass the Colby drawbridge and then the Wave drawbridge and then the Wave drawbridge.

From the table, Colby is on the 3/4 hour. This will be:

= 3/4 × 60

= 45

Also, Wave Bridge will be:

= 1/6 × 60

= 10

Therefore, it's 45/60 and 10/60 because we know that the common denominator is 60 then 3/4 of an hour is 45mins then 1/6 of an hour is 10.

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Complete question

On the Dell River, a boat will pass the Colby drawbridge and then the Wave drawbridge and then the Wave drawbridge. Rename each of the two drawbridge opening times. There are 60 minutes in an hour, so use 60 as a common denominator. Then, rename each opening time using another common denominator

Bridge name:

1. Asher Cross

2. Colby

3. Rainbow

4. Red Bank

5. Wave

Time of Opening:

1. On the hour

2. On the 3/4 hour

3. On the 2/3 hour

4. On the 1/4 hour

5. On the 1/6 hour

Simplify the difference. (2w2 – 8w – 8) – (5w2 + 3w – 5)

Answers

Answer:

-3w2-11w-3

Step-by-step explanation:

take w2 and w as variables. you can substitute it as w2=y and w=X then expand brackets

2y-8x-8-5y-3x+5

note that the signed changed at the second part because it was expanded with the minus sign which is basically like -1, so it changes the signs

then you collect like terms:

2y-5y-8x-3x-8+5= -3y-11x-3

now put substitute back w2=y and w=X

-3w2-11w-3

if it won't be a problem solving with w2 and w, then you skip the substitution part and solve the same

Other Questions
According to the law of universal gravitation, any two objects are attracted to each other. The strength of the gravitational force depends on the masses of the objects and their distance from each other. Many stars have planets around them. If there were no gravity attracting a planet to its star, the planet's motion would carry it away from the star. However, when this motion is balanced by the gravitational attraction to the star, the planet orbits the star. Two solar systems each have a planet the same distance from the star. The planets have the same mass, but Planet A orbits a more massive star than Planet B. Which of the following statements is true about the planets? I need help with this question please A customer has written an application that uses Amazon S3 exclusively as a data store. The application works well until the customer increases the rate at which the application is updating information. The customer now reports that outdated data occasionally appears when the application accesses objects in Amazon S3. What could be the problem, given that the application logic is otherwise correct? Give as many points as you can to support the claim that Victorian photographs are not reliable. Using traditional methods it takes 8.5 hours to receive a basic flying license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique on 21 students and observed that they had a mean of 8.8 hours with a variance of 1.21 . Is there evidence at the 0.05 level that the technique performs differently than the traditional method? Assume the population distribution is approximately normal. Step 1 of 5 : State the null and alternative hypotheses The first laptop ever was sold was the Osborne 1. It came onto the market in 1981, and it had a mass of 11 kg. Suppose that since 1981 the mass of laptops has decreased at an average rate of 4. 7% per year. What was the approximate weight of a laptop in 2019? If explicit data is information that is intentionally shared between a contact and a company, what is implicit data: Information gathered from website activityInformation gathered from a form submissionInformation gathered from implied behaviorInformation gathered from user behavior What is the sum of polynomials 7x 3 4x 2 )+( 2x 3 4x 2? Write and solve an equation to find what fraction of the student f voted for fruit juice or water Find the measure of the indicated angle to the nearest degree. Connect What household technology that was considered a luxury in the 1920s is considered a necessity today? Why? How might this be related to the standard of living? PLEASE HELP!!The equation of a circle is (x+10)2+(y4)2=100.What is the center and radius of the circle?Responses center: (10, 4); radius: 10,000 center: , begin ordered pair 10 comma negative 4 end ordered pair, ; radius: 10,000 center: (10, 4); radius: 10,000 center: , begin ordered pair negative 10 comma 4 end ordered pair, ; radius: 10,000 center: (10, 4); radius: 10 center: , begin ordered pair 10 comma negative 4 end ordered pair, ; radius: 10 center: (10, 4); radius: 10 An elliptical mirror measures 16 inches wide and 20 inches high. The ellipse is centered at (0, 52) on a coordinate plane, where units are in inches. Which equation represents the mirror?(y - 52)/400 + x/256 = 1(y 52)/100+ x/64 = 1X/400+ (y-52)/256 = 1x/100+(y-52)/64 = 1 Suppose that 15 inches of wire costs 90 cents. At the same rate, how many inches of wire can be bought for 72 cents? What does West Egg represent in The Great Gatsby? Ross walked 7 miles in 2 hours. What is his unit rate of miles per hour? Compared to a human, what is similar about how blue whales get molecules from food and air? Please help quicklyNova wants to measure the height of a tree. She asks her brother Caden to stand so that thetip of his shadow coincides with the tip of the trees shadow. She stands at the tip of Cadensshadow. Caden, who is 1.2 meters tall, is 4.2 meters from Nova and 6.5 meters from the tree.The tree is ___ meters high. Round your answer to the nearest tenth and write it as a decimal. A car is traveling at a speed of 61 kilometers per hour. What is the car's speed in kilometers per minute? How many kilometers will the car travel in 20 minutes? Do not round your answers. A customer has reported that when using a cable to connect an older laptop to a 100Mbps switch that the link light does not illuminate. When testing the same cable with a newer 1Gbps switch, it works fine. Which of the following is the MOST likely cause of the problem?