In linear equation, -7 m - 2 is number makes the expression equivalent.
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.Given expression is 1/2 (-14m+ 4 )
To simplify this expression 1/2 (-14m+ 4 ) we get equivalent expression.
Multiply and Divide the expression by two.
⇒ -14m/2 + 4/2
To simplify the expression again, we get,
⇒ -7 m - 2
So, we found the coefficient of m is -7
The missing number is -7
Hence, –0.7 makes the expression equivalent.
Therefore,1/2 (-14m+4) = -7 m - 2
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James has a square garden with sides of length 8feet. he plans to enlarge it to a rectangle by increasing the length by 4 feet and the width by 1 feet. how many square feet in area will be added to the garden?
The area in square feet that will be added to the garden is 44 square feet.
Length of square garden = 8 feet
Area of Square garden = [tex](side)^{2}[/tex] = [tex](8)^{2}[/tex] = 64 square feet
On enlarging the square to a rectangle, length rectangular garden is (8+4)feet i.e.,12feet and width of rectangular garden is (8+1)feet i.e.,9feet.
Area of rectangular garden = (length × width)
= (12 × 9) square feet
= 108 square feet
The area in square feet that will be added to the garden = (Area of rectangular garden - Area of Square garden)
= (108 square feet - 64 square feet)
= 44 square feet
The area in square feet that will be added to the garden is 44 square feet.
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A 7-year-old boy was struck by a car while riding his bicycle. his bp is 60/40 mm hg, pulse is 160 beats/min, and respirations are 34 breaths/min. how much iv fluid should you administer per bolus?
If the boy is riding a bicycle and gets stuck or got accident by a car, 440ml of IV fluid will be administered.
What should be done to provide first assistance in the event of an accident?To avoid further injury, place the victim on the ground very gently and slowly without handling vigorously. In one direction, tilt the sufferer. Dress loosely around the waist, chest, and neck. So that the tongue can fall forward and allow blood and vomit to drain out, tilt your head back and slightly downward. When you come across an accident victim, the first thing you need to determine is whether the victim's body has sustained any physical wounds. Depending on how severe the collision was, you might not be able to see any inside injuries, but you will see a few exterior ones.
In a car accident, spine injuries and head trauma are common. Therefore, be aware that rough handling of the sufferer will result in additional injuries while opting to assist the victim in moving to a safer location on the road. Therefore, request any onlookers to carefully assist in moving the sufferer to a location near the road where it will be safer.
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Jenna alone takes x days to finish a project kelly alone takes 3 days more than jenna alone to finish the project. if they together take 2 days to finish the project, find the value of x.
The value of x is 3 days.
Here,
Jenna alone takes x days to finish a project.
Kelly alone takes 3 days more than Jenna alone to finish the project.
They together take 2 days to finish the project.
We have to find the value of x.
What is Mathematical expression?
Mathematical expression is a way where calculations and analytical processes should be observed.
Now,
Jenna alone takes x days to finish a project.
Hence, Jenna complete work in 1 day = 1/x work
Kelly alone takes 3 days more than Jenna alone to finish the project.
That is, x + 3 days.
Hence, Kelly complete work in 1 day = [tex]\frac{1}{x+3}[/tex] work
They together take 2 days to finish the project.
Hence, They together complete a work in 1 day = 1/2 work.
To find the value of x we use the formula of work word problem as;
[tex]\frac{1}{x} + \frac{1}{x+3} = \frac{1}{2} \\\\\frac{(x+3)+x}{x(x+3)} = \frac{1}{2}\\\\2(2x+3) = x (x+3)\\\\4x + 6 = x^{2} + 3x\\\\x^{2} -x-6=0\\\\x^{2} -3x+2x-6=0\\\\x (x-3) +2(x-3)=0\\\\(x+2) (x-3) = 0\\\\x = -2, x = 3[/tex]
Since, The value of x = -2 is not possible (because days are not shown in negative sign).
Hence, The value of x is 3 days.
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Luis has 1/2 quart of grape juice. he pours the same amount into each of 5 glasses. which equation represents the fraction of a quart of grape juice n that is in each glass?ll
The equation n = (1/2)(1/5) represents the fraction of a quart of grape juice n that is in each glass option (A) is correct.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
The question is incomplete.
The complete question is:
Luis has 1/2 quart of grape juice. he pours the same amount into each of 5 glasses. which equation represents the fraction of a quart of grape juice n that is in each glass?
n = (1/2)(1/5)
n = (1/2)(5/1)
n = (1/2)(5)
n = (1/2)
From the data given in the question:
Let n be the fraction of a quart of grape juice n that is in each glass:
n = (1/2)(1/5)
Thus, the equation n = (1/2)(1/5) represents the fraction of a quart of grape juice n that is in each glass option (A) is correct.
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HELP ASAP!!!!!
Write a function g whose graph represents the indicated transformation of the graph of f.
f(x)=4x+1; translation 2 units left.
HELP PLEASE
Answer:
The translation of 2 units left in function f (x) = 4x + 1 is 4x + 3.
Here,
Function is given as, f(x)=4x+1
And, translation 2 units left.
We have to find the function after translation.
Now,
Function is given as, f(x)=4x+1
After translation 2 units left the function is;
f (x) = 4x + 1 + 2
f (x ) = 4x + 3
Hence, the function after translation 2 units is f (x) = 4x + 3
crude oil has sold at $21.75 a barrel. a barrel has a volume of 42 gallons. what is the price of crude oil in ¢ /cup? (one gallon
The price of crude oil in 3.24 ¢ /cup.
What is conversion factor?A conversion factor is a number that is used to multiply or divide one set of units into another.
When converting to an equal value, the suitable conversion factor must be used. To convert inches to feet, for example, the suitable converting value is 12 inches equal 1 foot.A conversion factor is a ratio (and any fraction) that depicts the connection between two distinct units.Some conversion factors are-
One gallon = 4 quarts;
4 cups = 1 quart
( ¢ =cents)
Now, as per the given question;
The crude oil was sold at $21.75 per barrel.
The volume of the barrel is 42 gallons.
Let 'P' be the total price of crude oil in ¢ /cup.
To determine the price in cents per cup, we must use the conversion factors:
Price P = ($21.75/1 barrel)×(100 ¢/$ 1.00)×(1 barrel/42 gallons)×1 gallon/ 4 quarts)×(1 quartz/ 4 cups).
Simplify the above equation;
Price per cup P = 3.24 ¢ /cup.
Therefore, the price of crude oil is 3.24 ¢ /cup.
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the cost C (in dollars) of making n watches is represented by C=15n+85. how many watches are made when the cost is $385
Can you help me with this please?
The solution associated with rational numbers is descriptively illustrated below with a detailed explanation.
What is a rational number?
An irrational number can sometimes be stated using fractions, but a rational number may be expressed even as a ratio of two integers with the denominator not equal to zero. Irrational numbers were non-terminating and non-recurring, whereas rational numbers have terminating decimals.Problems with the division of Rational Numbers:
(a) [tex]\frac{5}{7}[/tex] ÷ [tex]\frac{-11}{5} = \frac{5}{7} * \frac{5}{11} = \frac{25}{77}[/tex]
(b) [tex]\frac{\frac{-4}{5} }{\frac{3}{10} }[/tex]
[tex]\frac{-4}{5}[/tex]÷[tex]\frac{3}{10}[/tex]
[tex]\frac{-4}{5} *\frac{10}{3} \\=\frac{-8}{3}[/tex]
(c) [tex]\frac{-7}{17}[/tex]÷[tex]\frac{13}{34}[/tex]
[tex]\frac{-7}{17} X\frac{34}{13}[/tex]
(d) [tex]\frac{-2}{7}[/tex]÷[tex](\frac{-2}{21}[/tex] ÷ [tex]\frac{1}{7} )[/tex]
[tex]\frac{-2}{7}[/tex] ÷[tex](\frac{-2}{21} X\frac{7}{1} )[/tex]
[tex]= \frac{-2}{7} X \frac{-3}{2}[/tex]
[tex]=\frac{3}{7}[/tex]
He multiplied the denominator and numerator.
(e)
[tex]\frac{-1 \frac{1}{2} }{1\frac{2}{3} } \\\\=\frac{\frac{3}{2} }{\frac{5}{3} } \\\\=\frac{3}{2} X \frac{3}{5} \\\\=\frac{9}{10}[/tex]
(f) [tex]\frac{-3}{4}[/tex] ÷ [tex]\frac{2}{5} = \frac{-3}{4} X \frac{5}{2} =\frac{-15}{8}[/tex]
0.75÷0.4 = 1.875
[tex]\frac{3}{4}[/tex] ÷ [tex]\frac{2}{5} = \frac{3}{4} X \frac{-5}{2} =\frac{-15}{8}[/tex]
(g)
Reciprocal of [tex]-1\frac{1}{17} = \frac{-17}{18}[/tex]
Reciprocal of [tex]\frac{-17}{18} = \frac{-18}{17}[/tex]
The above expressions are multiplicative inverse as [tex]\frac{-17}{18} X \frac{-18}{17} =1[/tex]
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WILL GIVE THE BRAINLIEST
A graph of a quadratic function is shown. Use the graph for questions 1 through 4.
1. Use the graph to determine the value of for the function.
2. Write the equation of the parabola in vertex form.
3. Convert the vertex form of the parabola to standard form.
4. Use standard form of the parabola to identify the y-intercept of the function.
5. The factored form of a quadratic function is represented by () = 2(―4)(―6).
Write the equation in standard form.
For questions 6 through 9, a graph and table of values for () are shown.
6. Use the table or the graph to determine the value of for the function.
7. Write the equation in vertex form.
8. Write the equation in factored form.
9. Write the equation in standard form.
10. The function () is represented by () = 2(+ 3)^2 +4. Rewrite the function in
standard form.
The points where the graph intercepts the x-axis is the root of the function.
from the graph the points are 3.9 and 6.1
How to write the equation of the parabola in vertex formThe vertex v is at v ( 5, -4 ) this is equivalent to v ( h, k )
the equation of parabola in vertex form is y = a ( x- h )^2 + k
y = a ( x - 5 )^2 + {-4)
substituting point ( 4, -1 ) from the graph we have:
-1 = a ( 4 - 5 )^2 - 4
-1 = a - 4
a = 3
substituting the known values to y = a ( x- h ) + k
y = 3 ( x - 5 )^2 - 4
How to write the equation of the parabola in factored formy = 3 ( x - 5) ( x - 5 ) - 4
How to write the equation of the parabola in standard formy = 3 ( x - 5) ( x - 5 ) - 4
y = 3 ( x^2 - 10x + 25 ) - 4
y = 3x^2 - 30x + 75 - 4
y = 3x^2 - 30x + 71
Graph BHow to find the roots of the the function
The points where the graph intercepts the x-axis is the root of the function.
from the graph the points are 2 and 4
How to write the equation of the parabola in vertex form
The vertex v is at v ( 3, 2 ) this is equivalent to v ( h, k )
the equation of parabola in vertex form is y = a ( x- h )^2 + k
y = a ( x - 3 )^2 + 2
substituting point ( 0, -16 ) from the graph we have:
-16 = a ( 0 - 3 )^2 + 2
-16 = a - 9 + 2
-16 = a - 7
a = -9
substituting the known values to y = a ( x- h ) + k
y = -9 ( x - 3 )^2 + 2
How to write the equation of the parabola in factored formy = -9 ( x - 3) ( x - 3 ) + 2
How to write the equation of the parabola in standard formy = -9 ( x - 3) ( x - 3 ) + 2
y = -9 ( x^2 - 6x + 9 ) - 4
y = 3x^2 - 54x - 81 - 4
y = 3x^2 - 54x - 85
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jackie's hair grows 3/4 in 1 and 1/2. how much hair grows per mouth
The answer is 1/2
The unitary technique, in its most basic form, is used to calculate the value of a single unit from a specified multiple. How to determine the value of one pen, for instance, if the cost of 40 pens is Rs. 400. The unitary approach can be used to complete it. Additionally, after determining the value of a single unit, we can multiply that value by the number of units needed to determine the value of the additional units. The concept of ratio and proportion is mostly applied using this way.
Jackie grow hair in 3/2 month = 3/4
Jackie grow hair in 1 month = 3/4 x 2/ 3
= 1/2
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Explain what is meant by confounding. what is a lurking variable? what is a confounding variable?
Explain what is meant by confounding. what is a lurking variable? what is a confounding variable?
Answer:
A Confounding is the variable that is considered in a research study, and could overall influence the relations between the variables in the study. For example, students wanting to join AP English next semester were told to write a six page essay. When the students turned in their papers and teachers say the difference and grades they believed that the variable was the time that the students handed in the paper. They thought that if the student handed in their paper later than another student that they would receive a lower score, but this was not the case. When asking the students how they prepared for the paper, students replied with different answers. Those who outlined and used other literature for reference scored much higher than those who only used prior knowledge to write their essays. In this study, the lurking variable would be the presence of an outline.
Lurking variable: A variable that is not considered in a research study that could influence the relations between the variables in the study
Confounding variable: A variable that is considered in a research study that could influence the relations between the variables in the study
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A scale that allows us to rank individuals or objects, but not to say anything about the meaning of the differences between the ranks, is a(n)?
A scale that allows us to rank individuals or objects, but not say anything about the meaning of the differences between the ranks, is an ordinal scale.
What is an ordinal scale?An ordinal scale is one that allows us to rank individuals or objects without saying anything about the significance of the differences between the ranks. The ordinal scale is the second level of measurement that reports data ranking and ordering without determining the degree of variation between them. Cases in the same class are regarded as equivalent. Movie ratings, political affiliation, military rank, and other variables that use ordinal scales are examples."Movie ratings" is an example of an ordinal scale. Students in a class, for example, could rate a movie using the scale below.Therefore, a scale that allows us to rank individuals or objects, but not say anything about the meaning of the differences between the ranks, is an ordinal scale.
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Evaluate the expression shown below and write your answer as a fraction in
simplest form.
17/23+3/23=
Answer:
17/23+3/23 = 10/23 =2.3
Step-by-step explanation:
brainliest
I have something on my page, please can you help me?
thankyou
HELP me ill give brainlist or whatever its called
Answer:
1 cm
Step-by-step explanation:
you multiply 3 by 1/3 and you get 3/3 which is 1
PLS ANSWER IL GIVE U A LOT OF POINTS
a line with a slope equal to -2/3 passes through (-1, -4) and (3,y) what’s the value of y
Answer:
-20/3
Step-by-step explanation:
Using point-slope form, the equation is
[tex]y+4=-\frac{2}{3}(x+1) [/tex]
Substituting x=3,
[tex]y+4=-\frac{2}{3}(3+1) \\ \\ y+4=-\frac{8}{3} \\ \\ y=-\frac{20}{3}[/tex]
Lowest term for 6/32
Answer:3/16
Step-by-step explanation:
Simplify 6/32 in Lowest Terms
6/32 = (?)
6/32 = (2 x 3)/(2 x 2 x 2 x 2 x 2)
= 3/16
6/32 = 3/16
L is the midpoint of JM. K is the midpoint
of JL. JL = 1. What is the length of KM?
Answer:
KM = 1.5
Step-by-step explanation:
The first piece of info we get is that L is the midpoint of JM. This means that L = JM/2. The second piece of information provided is that K is the midpoint of JL, which means K = JL/2. We know that JL = 1, so we can plug it into the equation to help us figure out the problem. You can also illustrate to solve this problem, as I do here.
Since JL = 1...
K = 1/2, K = 0.5
________________________________________________
J K(0.5) L M
___________ __________
0.5 0.5
Now with this information, we know that 0.5 represents the distance of 1/4 of JM. We know that KM is 3/4 of the number line, and we know that 1/4 of the line is 0.5. We multiply 0.5 * 3 to get our final answer.
FINAL ANSWER: KM = 1.5
please help i’m literally so stressed out
Luis has $420 to spend at a bicycle store for some new gear and biking outfits.
Assume all prices listed include tax.
• He buys a new bicycle for $209.67.
•He buys 2 bicycle reflectors for $6.04 each and a pair of bike gloves for $25.77.
•He plans to spend some or all of the money he has left to buy new biking outfits
for $37.16 each.
Which inequality can be used to determine x, the maximum number of outfits Luis
can purchase while staying within his budget?
The inequality that can be used to determine x, the maximum number of outfits Luis can purchase while staying within his budget is x ≤ 4
How to solve inequality?Luis has $420 to spend at a bicycle store for some new gear and biking outfits.
He buys a new bicycle for $209.67.He buys 2 bicycle reflectors for $6.04 each and a pair of bike gloves for $25.77.He plans to spend some or all of the money he has left to buy new biking outfits for $37.16 each.Therefore,
x = maximum number of outfits Luis can purchase while staying within his budget.
Hence, the inequality that can be used to represent the situation is as follows;
209.67 + 6.04(2) + 25.77 + 37.16x ≤ 420
235.44 + 12.08 + 37.16x ≤ 420
247.52 + 37.16x ≤ 420
37.16x ≤ 420 - 247.52
37.16x ≤ 172.48
divide both sides by 37.16
x ≤ 4.64155005382
x ≤ 4
Therefore, the inequality that can be used to determine x, the maximum number of outfits Luis can purchase while staying within his budget is x ≤ 4
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8. Olivia's brother is twice her age
minus 9 years. He is also as old
as half the sum of the ages of
Olivia and both of her 12 year-
old twin brothers. Write and
solve an equation to find the
ages of Olivia and her brother.
The ages of Olivia and her brother are 10 years and 11 years respectively
Let x₁, and x₂ be the ages of Olivia and her brother respectively.
Given that Olivia's brother is twice her age minus 9 years.
⇒ x₂ = 2x₁ - 9 → equation 1
Also given that Olivia's brother is as old as half the sum of the ages of Olivia and both of her 12-year-old twin brothers.
⇒ x₂ = 1/2 × (x₁ + 12) → equation 2
Using equation 1 in equation 2, we get
2x₁ - 9 = 1/2 × (x₁ + 12)
⇒ 4x₁ - 18 = x₁ + 12 (multiplying by 2 on both sides)
⇒ 4x₁ - x₁ = 12 + 18
⇒ 3x₁ = 30
⇒ x₁ = 10 (dividing by 3 on both sides)
Using the value of x₁, in equation 1,
⇒ x₂ = 2(10) - 9
⇒ x₂ = 20 - 9
⇒ x₂ = 11
Therefore the ages of Olivia and her brother are 10 years and 11 years respectively.
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If you answer you get 15 points.
Answer:D
Step-by-step explanation:
Answer:
I think it's the last one, the one that have month 4,6,8.
Step-by-step explanation:
The function h is defined by the following rule
h(x)=-5x+5
Complete the function table down below
Will give brainliest
answer:
3/4
explanation:
the side lengths of preimage abcd are all four units, whereas image abcd's lengths are all three. from this, we can surmise the scale factor is 3/4.
how to calculate scale factor:
scale factor = dimension of the new shape ÷ dimension of the original shape
find the measure of angle B.
Answer:
m <B = 41°
Step-by-step explanation:
Fact: complementary angles measures add to 90 degrees
Given: m < A = 2x-19, and m <B = x+7
Find: m <B = ?
Find x
2x-19 + x+7 = 90
2x+x = 90 +19-7
3x = 102
x = 34
Find m <B
m <B = x+7
m <B = 34+7
m <B = 41
What is the value of invar in the base workspace after executing: invar = 1; out1 = plusone(invar);
2 is the value of invar in the base workspace after executing.
What are variables?
A idea or thing that can be numerically, or quantitatively, measured is represented by a variable. Variables can have a wide range of values, which is why they are called variables. Thus, a variable can be thought of as a quantity that can take on different values depending on the circumstances of a given issue.What three categories of variables are there?
Any feature, characteristic, or circumstance that can exist in various amounts or types is considered a variable. Independent, dependent, and controlled variables are typically present in an experiment.
invar = 1;
out1 = plusone(invar);
= 2
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Find the complement of the set given that u = {0, 1, 2, 3, 4, 5, 6, 7, 8}. (enter your answers as a comma-separated list.) the set of odd natural numbers less than 8
{ 0,2,4,6,8} is the complement of the set.
What is natural number in math?
Normative Numbers The numbers we use to count or place things in order are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, and 11. Complete numbers the range of numbers that includes zero and natural numbers.Is zero a natural number?
0 is not a natural number, so no. As we all know, natural numbers are positive integers with a range of 1 to infinity. However, we get a number when we combine 0 with a positive integer like 10, 20, or another number.u = {0, 1, 2, 3, 4, 5, 6, 7, 8}
Odd number less than 8 = { 1,3,5,7 }
complement = {0, 1, 2, 3, 4, 5, 6, 7, 8} - { 1,3,5,7 }
= { 0,2,4,6,8}
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i’m confused please help
can u please help me solve this
Answer:
0
Step-by-step explanation:
As x aproaches a, (x-a) will aproach 0, so the numerator will aproach 0, and because 0 divided by anything=0, the whole function will become 0. So, the answer is 0.
Find using distributive property: 4/7 x-3/5 + -4/5 x 4/7.
The value of the expression using distributive property is [tex]-\frac{4}{5}[/tex] .
According to the distributive property, an expression of the form A (B + C) can be resolved as A (B + C) = AB + AC.
This distributive law, which is represented as A (B - C) = AB - AC, also applies to subtraction. This indicates that the distribution of operand A among the other two operands.We learn how to solve expressions in the form of a(b + c) from the distributive property. The distributive law of multiplication and division is another name for the distribution property.The given expression is [tex]\frac{4}{7}\times(-\frac{3}{5} ) +(-\frac{4}{5} )\times\frac{4}{7}[/tex]
Here we take the reverse of the distributive property to solve the expression. We take the term of [tex]\frac{4}{7}[/tex] common from both the separate expressions:
[tex]=\frac{4}{7}\times(-\frac{3}{5} ) +(-\frac{4}{5} )\times\frac{4}{7}\\\\=\frac{4}{7}(-\frac{3}{5}-\frac{4}{5})\\\\=\frac{4}{7}\times(-\frac{7}{5}) \\\\=-\frac{4}{5}[/tex]
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Mia uses the formula πr2 to find the area of a circle. What is πr2 an example of?.
πr2 is an example of (D) a model.
What is a model?A mathematical model is a system description that employs math ideas and language. Mathematical modeling is the process of creating a mathematical model. Mathematical models are used in the natural sciences (physics, biology, earth science, chemistry), engineering disciplines (computer science, electrical engineering), and non-physical structures such as the social sciences (such as economics, psychology, sociology, political science). A large part of the field of operations research is the use of statistical equations to solve problems in business or military operations. Music, linguistics, and philosophy all use mathematical models (for example, intensively in analytic philosophy). A model is, for example, the method for the area of a circle, πr2.Therefore, πr2 is an example of (D) a model.
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The complete question is given below:
Mia uses the formula πr2 to find the area of a circle. What is πr2 an example of?
A. a robot
B. a car
C. a telescope
D. a model