A car company sells a scale model to of the size of one of its cars.
Complete the following table.
Scale Model
Real Car
2
Area of windscreen (cm)
135
V25
[3]
3
Volume of storage space (cm)
408000
Answers
Answer:
[tex]w = 13500[/tex] --- real windscreen
[tex]v = 408[/tex] --- scale volume
Step-by-step explanation:
Given
[tex]k = \frac{1}{10}[/tex] --- scale factor
See attachment
Required
Complete the table
To get the windscreen (w) of the real car, we do the following computation
[tex]w = \frac{w_{scale}}{k^2}[/tex]
This gives:
[tex]w = \frac{135}{(1/10)^2}[/tex]
[tex]w = \frac{135}{1/100}[/tex]
[tex]w = 13500[/tex]
Next, the volume (v) of the scale mode
We make use of the following computation
[tex]v = v_{real} * k^3[/tex]
So, we have:
[tex]v = 408000 * (1/10)^3[/tex]
[tex]v = 408000 * 1/1000[/tex]
[tex]v = 408[/tex]
Related Questions
Consider the following simple regression model: y = 0 + 1 x 1 + u. In order to obtain consistent estimators of 0 and 1, when x and u are correlated, a new variable z is introduced into the model which satisfies the following two conditions: Cov( z, x) 0 and Cov ( z, u) = 0. The variable z is called a(n) _____ variable. 答案选项组 dummy instrumental lagged dependent random
Answers
Answer:
Instrumental variable
Step-by-step explanation:
cov(z,u) shows that the instrumental variable is exogenous. An instrumental variable can also be regarded as a third variable, It is included in the model if you have an issue of endogeneity in your regression model. An endogeneity problem arises if there are other variables are being influenced by other independent variable in the same regression model. we use z to account for these behaviours in the model. this variable controls for measurement errors as well as confounding errors.
The container of orange juice held 53 cups of juice. If a serving of orange juice is ã of a cup of orange juice, to the
nearest whole serving, how many servings were in the container?
05 servings
O 6 servings
15 servings
19 servings
Mark this and return
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Submit
Answers
Answer:
5 servings = 265 cups of orange juices
5 servings = 318 cups of orange juices
5 servings = 795 cups of orange juices
5 servings = 1,007 cups of orange juices
Step-by-step explanation:
Given:
1 serving contain = 53 cups of orange juices
Find:
Serving in;
5 servings
6 servings
15 servings
19 servings
Computation:
5 servings = 53 x 5
5 servings = 265 cups of orange juices
5 servings = 53 x 6
5 servings = 318 cups of orange juices
5 servings = 53 x 15
5 servings = 795 cups of orange juices
5 servings = 53 x 19
5 servings = 1,007 cups of orange juices
The rule g = b + 3 expresses the relationship between the
number of girls g and the number of boys b in a classroom.
Rewrite this rule another way.
Answers
Answer:
g = 3 + b
b + 3 = g
3 + b = g
Step-by-step explanation:
Answer:
[see below]
Step-by-step explanation:
Rewriting the rule so 'b' would be the subject:
[tex]g = b + 3\\\\g - 3 = b + 3-3\\\\g-3=b\\\\\boxed{b=g-3}[/tex]
Hope this helps.
If y is 22.6 and c is 28.2, find b, rounded to the nearest tenth.
Answers
simplify (csc x)^2 - 1
Answers
Answer:
Step-by-step explanation:
[tex](cscx)^2-1=\frac{1}{sin^2 x} -1\\=\frac{1-sin^2x}{sin^2x} \\=\frac{cos^2x}{sin^2x} \\=(cotx)^2[/tex]
Helppp and explain pleaseeeeee!!!!!!
Answers
Find the value of x in the triangle shown below
Answers
Answer:
x = 48°
Step-by-step explanation:
Two sides of the triangle are equal, both 7, Then the 2 base angles are congruent, both 66°
The sum of the 3 angles in the triangle sum to 180° , so
x = 180° - (66 + 66) = 180° - 132° = 48°
Answer:
[tex]{ \tt{x + 66 + 66 = 180}} \\ x = 48 \degree \\ \\ { \boxed{ \bf{or : }}} \\ { \bf{ from \:lamis \: theorem : }} \\ { \tt{ \frac{5.7}{ \sin(x) } = \frac{7}{ \sin(66 \degree) } }} \\ \\ { \tt{x = { \sin }^{ - 1}( \frac{5.7 \times \sin(66 \degree) }{7} ) }} \\ x = 48 \degree[/tex]
Sin 0 = 7/25 and cos 0 = -24/25. Find tan 0
Answers
Answer:
[tex]tan \theta = - \frac{7}{24}[/tex]
Step-by-step explanation:
[tex]sin \theta = \frac{7}{25} \ , \ cos\theta = \frac{-24}{25}\\\\tan \theta = \frac{sin\theta}{cos\theta}[/tex]
[tex]=\frac{\frac{7}{25}}{\frac{-24}{25}} \\\\=\frac{7}{25} \times \frac{25}{-24}\\\\= - \frac{7}{24}[/tex]
A ball is thrown from an initial height of 4 feet with an initial upward velocity of 30 feet per second. Find all values of t for which the ball's height is 17 feet.
Answers
Answer:
0.43 seconds
Step-by-step explanation:
Given Data
Initial height= 4feet
initial velocity u= 30ft per second
Final height = 17 feet
The distance travelled is the
Final-initial height
=17-4
=13ft
Hence the time taken is calculated using the expression below
Speed= distance/time
30=13/t
t= 13/30
t= 0.43 seconds
Hence the time taken is 0.43 seconds
Put these numbers in order from greatest to least.
0.24,0.73,1/4, and 3/4
Answers
Answer:
3/4, 0.73, 1/4, 0.24
Step-by-step explanation:
1/4=25/100=0.25
3/4=75/100=0.75
Explanation:
3/4=.75
1/4=.25
Simplify: (4 – 5) – (13 – 18 + 2). (Am I right or wrong)
(a) -1,
(b) –2,
(c) 1,
(d) 2.
This is my work below!!!
(4 – 5) – (13 – 18 + 2).
= -1-(13+2-18).
= -1-(15-18).
= -1-(-3).
= -1+3.
= 2.
Answers
Answer:
You're right...
Step-by-step explanation:
(4-5)-(13-18+2)
(-1)-(-3)
-1+3
2
Which answer choice shows a solution set in which all values, when input for x, will be true?
12−(x+2)>2
Answers
Answer:
It would be x < 8
Step-by-step explanation:
The interval notation is (-∞, 8)
Hope this helps:)
203 cm
196 cm
Question 1:
The formula to calculate the perimeter of the banner is
(a) 2 (1+ b)
(b) 2xrh + 2A
(c) a + (21 + b)
(d) 2 (1 + b) + ar
Answers
Answer:
πr + (2l + b)
Step-by-step explanation:
The figure is a composite figure, consisting of a semicircle and a rectangle :
The perimeter of a rectangle is the sum of the sides ;
Perimeter of semicircle is the 2πr/2 (Circumference / 2)
For the triangle, we take the sum of 3 sides ;
Length + length + breadth = 2l + b
Hence, the perimeter is :
2πr/2 + 2l + b
πr + (2l + b)
What is the answer of
Answers
Step-by-step explanation:
here is the answer babe. Feel free to ask for more
Answer: - 1.
Step-by-step explanation:
[tex]\frac{\dfrac{x+y}{x-y} }{\dfrac{y+x}{y-x} } =\dfrac{x+y}{x-y} \div \dfrac{y+x}{y-x}\\\\{\: \: \: \: \: \: \: \: \: \: \: \: \: } = \dfrac{x+y}{x-y} \times \dfrac{y-x}{y+x}\\\\{\: \: \: \: \: \: \: \: \: \: \: \: \: } = \dfrac{x+y}{x-y} \times \dfrac{-(x-y)}{x+y}\\\\{\: \: \: \: \: \: \: \: \: \: \: \: \: } = \dfrac{-(x+y)(x-y)}{(x-y)(x+y)} \\\\{\: \: \: \: \: \: \: \: \: \: \: \: \: } = -1[/tex]
What is the measure of
A. 55°
B. 45°
C. 90°
D. 35°
Answers
Answer:
D
Step-by-step explanation:
90-55=35 degrees ;)
Answer:
D
Step-by-step explanation:
as we know that all the angles in a rectangle are 90° so the,
you will get 90° - 55° = 35°
option D is the right answer.
The probability that Andrew has heart disease The two events are independent, so you need to find
the product of their probabilities: 0.9 x 0.75 = 0.675. Enter the
correct answer The probability that Andrew has heart disease
Answers
Answer:
correct bayan HAHAHAHAHAHA
Select a figure from the options which will replace the(?) as established by the problem figure
Answers
Answer:
a) is the correct answer.
need some help with these 2 questions
Answers
Answer:
hear is your answer please mark as brain list
Don’t need to send the math or anything just need the answer will give brainliest!!!
Answers
Answer:
The answer is D, Katie paid $40 for 4 hours
Step-by-step explanation:
If Rita pays $35 for 3 hours and Luna pays $45 for 5 hours
Just do 35 + 5 = 40
You get 40, so,
Katie paid $40 for 4 hours
Oh, i legit didnt see that "Dont need to send the math"
my bad, srry.
A person standing on a second floor balcony drops keys to a friend standing below the balcony. The keys are dropped from a height of 10 feet. The height in feet of the keys as they fall is given by the functionh(t)=−16t2+10, where t is the time in seconds since the keys were dropped.
The friend catches the keys at a height of 4 feet. Find the elapsed time before the keys are caught.
Answers
Answer:
sqrt(3/8) = t
.61237 = t
Step-by-step explanation:
h(t)=−16t^2+10
Let h(t) = 4
4 =−16t^2+10
Subtract 10 from each side
4-10 =−16t^2+10-10
-6 = -16 t^2
Divide by -16
-6/-16 = t^2
3/8 = t^2
Take the square root of each side
sqrt(3/8) = sqrt(t^2)
sqrt(3/8) = t
.61237 = t
We only take the positive since time is not negative
Does anyone know the answer ?!??!
Answers
Answer:
1/15
Step-by-step explanation:
Step 1 find probability of pulling 1 pink marble
Like stated previously probability = # of favorable outcomes / # of possible outcomes
The favorable outcomes is what we want to happen
We want to pull a pink marble and there are a total of 3 pink marbles
So # of favorable outcomes = 3
To find the # of possible outcomes we simply find the number of marbles. There are a total of ten marbles
So probability of pulling one pink marble = 3/10
Step 2 find the probability of pulling another pink marble ( IMPORTANT NOTE: It says to find the probability of pulling 2 pink marbles if the first one is NOT put back before the second pull. this meaning that we must subtract 1 from the total # of marbles and 1 from the total # of pink marbles )
3 - 1 = 2
10 - 1 = 9
So after the first pull there would be 2 pink marbles out of 9 total marbles
So the probability of pulling a pink marble on the second pull is 2/9
Finally we multiply the two probabilities together to find our answer
3/10 * 2/9 = 1/15
this confusing please help meeeeeeeeeeeeeeeeee
Answers
Answer : the answer is D
f(x) = 4 |x-1|
2 extra large chocolate shakes contain 85 ounces of ice cream. How many ounces of ice cream are there in 12 extra large chocolate shakes?
plz show work
Answers
Answer:
It will be 1020
Step-by-step explanation:
2 extra large = 85 ounces
multiply by 6 to get to 12 cups
85*12=1020
Select the correct answer.
The elimination method is ideal for solving this system of equations. By which number must you multiply the second equation to eliminate the
y variable, and what is the solution for this system?
x+3y= 42
2x - y = 14
OA. Multiply the second equation by-3. The solution is x= 12, y=9.
OB. Multiply the second equation by -2. The solution is x = 12, y=10.
OC. Multiply the second equation by 2. The solution is x = 15, y = 9.
OD. Multiply the second equation by 3. The solution is x = 12, y = 10.
Answers
Answer:
Multiply the second equation by 3. The solution is x = 12, y = 10.
Step-by-step explanation:
The given equations are :
x+3y= 42 ....(1)
2x - y = 14 ...(2)
For elimination method,
Multiply the second equation by 3.
6x-3y=42 .....(3)
Adding equations (1) and (3).
x+3y+6x-3y=42+42
7x = 84
x = 12
Put the value of x in equation (1).
12+3y= 42
3y = 30
y = 10
So, x = 12 and y = 10. Hence, the correct option is (d).
What is the measurement of 0? 4 cm e 12cm o A. 4 radians o B. 3s radians o C. 3 radians o D. 4 radians
Answers
Answer:
Option (c).
The angle is given by 3 radian.
Step-by-step explanation:
Arc length = 12 cm
radius = 4 cm
The relation between the angle and the radius is
[tex]angle = \frac{arc length}{radius}\\\\angle =\frac{12}{4}\\\\angle = 3 radian[/tex]
Option (c) is correct.
A parabola can be represented by the equation x2 = –20y.
What are the coordinates of the focus of the parabola?
(–5,0)
(5,0)
(0,5)
(0,–5)
Answers
Answer:
[tex] {x}^{2} = - 20y \\ y = - \frac{1}{20} {x}^{2} \\ { \tt{y = 4a {x}^{2} }} \\ a = - \frac{1}{5} \\ \\ { \tt{focus = (0, \: - 5)}}[/tex]
The requried coordinates of the focus of the parabola x² = -20y are (0, -2.5), which corresponds to the option (0, -5).
What is a parabola?A parabola is a cross-section cut out of the cone and represented by an equation y = 4ax².
The standard form of the equation of a parabola is (y - k) = (1 / 4p)(x - h)², where (h, k) is the vertex and p is the distance from the vertex to the focus. We can convert the given equation x² = -20y into this standard form by completing the square:
x² = -20y
x² / (-20) = y
x² / (-20) + 0 = y + 0
(x - 0)² = -20(y - 0)
Comparing this equation to the standard form, we can see that the vertex is at (h, k) = (0, 0), and that 4p = -20, so p = -5/2.
Since the focus is a distance of p below the vertex, the focus is at (h, k - p) = (0, -5/2), which is the same as (0, -2.5).
Therefore, the coordinates of the focus of the parabola x² = -20y are (0, -2.5), which corresponds to the option (0, -5).
Learn more about parabola here:
brainly.com/question/4074088
#SPJ2
if (x+y , 2x-3) = (5,3) find the value of x and y. plz answer ASAP!!!
Answers
Answer:
x=3
y=0
Step-by-step explanation:
2x-3=3
2x=6
x=3
x+y=3
3+y=3
y=0
Answer:
ans: x= 3 and y= 2
Step-by-step explanation:
equating corresponding order pair,
x + y = 5 and
2x-3 = 3
so x=6/2 I.e
x= 3
putting x in
x + y = 5
y = 5- 3
y = 2
Bailey writes the expression g2 + 14g + 40 to represent the area of a planned school garden in square feet. What factors can be used to find the dimensions of her garden?
(g−4)(g−10)
(g+4)(g+10)
(g+4)(g−10)
(g−4)(g+10)
Answers
Answer:
c
Step-by-step explanation:
Answer:
it's B (g+4)(g+10)
Step-by-step explanation:
you don't have to subtract when finding the dimensions
8f(x)=x
2
+6x+8f, left parenthesis, x, right parenthesis, equals, x, squared, plus, 6, x, plus, 8
1) What are the zeros of the function?
Write the smaller xxx first, and the larger xxx second.
\text{smaller }x=smaller x=start text, s, m, a, l, l, e, r, space, end text, x, equals
\text{larger }x=larger x=start text, l, a, r, g, e, r, space, end text, x, equals
2) What is the vertex of the parabola?
Answers
Answer:
-2 and -4
Step-by-step explanation:
Given the function f(x) = x² + 6x + 8
If f(x) = 0
x² + 6x + 8 = 0
Factorize
x² + 4x + 2x+ 8 = 0
x(x+4)+2(x+4) = 0
(x+2)(x+4) = 0
x+2 = 0 and x+4 = 0
x = -2 and -4
Hence the zero of the function is -2 and -4
Find the volume of a pyramid with a square base, where the area of the base is 11.1\text{ in}^211.1 in 2 and the height of the pyramid is 15.3\text{ in}15.3 in. Round your answer to the nearest tenth of a cubic inch.
Answers
Answer:
56.6in³
Step-by-step explanation:
volume of a pyramid = 1/3 x Area of base x height
1/3 x 11.1 x 15.3 = 56.61 in³
56.6 in³ to the nearest tenth
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
the hundredth term is 1 which is less than 5. O is added to 6
