The approximate length of the actual object is 1465 ft, which is closest to option D.
What is a scale factor?The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).
First, let's convert the length of the model from millimeters to inches:
372.5 mm = 372.5/10 cm = 37.25/2.54 in ≈ 14.65 in
Next, we can use the scale of the model to find the length of the actual object in feet:
0.5 in. = 50 ft.
So, 1 in. = 100 ft.
Therefore, the length of the actual object in feet is:
14.65 in x (100 ft/in) = 1465 ft
Therefore, the closest length is 1467 feet.
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Which expressions are equivalent to 3(6+b)-(2b + 1)?
Select two answers.
Step 1 - Use the distributive property and pick your first answer
Step 2 - Combine like terms and pick your second answer.
Answer:
18+3b-2b-1
b+17
Step-by-step explanation:
[tex]\mathrm{Using\:the\:distributive\:law}:\quad \:-\left(a+b\right)=-a-b[/tex]
[tex]-\left(2b+1\right)=-2b-1[/tex]
[tex]=3\left(6+b\right)-2b-1[/tex]
[tex]=18+3b-2b-1[/tex]
[tex]\mathrm{Group\:like\:terms}[/tex]
[tex]=3b-2b+18-1[/tex]
[tex]\mathrm{Subtract\:the\:numbers:}\:18-1=17[/tex]
[tex]=3b-2b+17[/tex]
[tex]\mathrm{Add\:similar\:terms:}\:3b-2b=b[/tex]
[tex]=b+17[/tex]
[RevyBreeze]
Please help! I dont know how to do these :(
Answer:
t = 4 s
Step-by-step explanation:
Given function:
[tex]h(t)=-16t^2+48t+64[/tex]
where:
h = height of the ball (in feet)t = time (in seconds)When the ball hits the ground, its height will be 0 ft.
Therefore, set the function to zero and solve for t:
[tex]\begin{aligned}h(t) &=0\\ \implies -16t^2+48t+64 & =0\\ -16(t^2-3t-4)& =0\\ t^2-3t-4 &=0\\ t^2+t-4t-4&=0\\ t(t+1)-4(t+1)&=0\\(t-4)(t+1)&=0\\ \implies t&=4, -1\end{aligned}[/tex]
As time is positive, t = 4 s (only).
Given
[tex]h = - 16 {t}^{2} + 48t + 64[/tex]
Where:- h= Height of ball (given in feet[ft]) and,
t= time (in seconds [s])
To find:-Time = (t)
SolutionWe know,
[tex] \text{When the ball hits the ground its height will be 0}[/tex]
[tex] \therefore h(t) = 0[/tex]
[tex] \implies - 16 t^{2} + 48t + 64 = 0 \\ \\ \fbox{taking - 16 as common multiple} \\ \\ \implies - 16(t {}^{2} - 3t - 4) = 0 \\ \\ \implies t {}^{2} - 3t - 4 = 0 \\ \\ \fbox {factorising the \: equation} \\ \\ \implies t {}^{2} - t - 4t - 4 = 0 \\ \\ \implies t(t + 1) - 4(t + 1) = 0 \\ \\ \implies(t - 4)(t + 1) = 0[/tex]
[tex] \tt{Either} \\ t - 4 = 0 \\ t = \red{ 4 } \\ \\ \tt{Or} \\ t + 1 = 0 \\ t = \red{ - 1}[/tex]
We know, Time cannot be negative.
So, Time (t) = 4 seconds
How do you use exponents in a test
Answer:
An exponent is a number that is to a certain value, like 5^2.
The ^2 means multiply by itself by itself ONCE,
so it would be 5x5.
5^3 means multiply it by itself TWO TIMES,
and going on and on.
Let's say you have a test and the question it's asking is to simplify 5^4.
It's 5x5x5x5, multiplying it by itself FIVE TIMES.
Hope this helped!
name the angle using three points
MÎA or AÎM
the point where the angle is has to be in the middle, but for the other two letters, you can choose which one goes where
Tito drives his car and covered a distance of 225 kilometers in 7.5 hours. What is the average in kilometers per hour?
A. 30 kph
B. 225 kph
C. 232.5 kph
D. 7.5
Step-by-step explanation:
I hope u are asking for average speed
average speed = total distance/total time
= 225/7.5
= 30 km/h or 30 km per hour
Answer:
As Per Provided Information
Distance covered by his car 225 KmTime taken by his car 7.5 hoursWe have to determine the average speed of his car in kilometres per hour .
Using Formulae
[tex] \boxed {\bf \: Average\: Speed \: = \cfrac{Total \: Distance \: Covered}{ Total \: Time \: Taken }}[/tex]
On substituting the value we get
[tex]\sf \qquad \: \longrightarrow\: Average\: Speed \: = \cfrac{225}{7.5} \\ \\ \\ \sf \qquad \: \longrightarrow\: Average\: Speed = \cancel \cfrac{225}{7.5} \\ \\ \\ \sf \qquad \: \longrightarrow\: Average\: Speed = 30km {h}^{ - 1} [/tex]
Therefore,
Average speed of his car is 30 km/h .So your answer is A) 30 kph .
What is the volume of the right prism
A. 1275
B. 600
C. 1020
D. 680
Answer:
B
Step-by-step explanation:
The face of the prism is the right triangle closest to us.
The area of the right triangle is 15 * 8 = 120 / 2 = 60 The general formula for a triangle's area is 1/2 * B * h.
B = 8
h = 15
The volume in general is B*h.
The height in this case is 10 (the height in this case is perpendicular to the surface containing the right triangle).
Volume = B * h
Volume =60 * 10
Volume = 600
Write the number names 438543=
ii)80,100,001
Answer:
Four lakhs thirty eight thousand five hundred fourty three.
ii)Eight crore ten lakhs one
Follow me friend
Answer:
i)four hundred thirty eight thousand five hundred forty three
ii) eighty million one hundred thousand one
i need help, this is my last question
Answer:
a
Step-by-step explanation:
last time, TO ALL AMAZING MATHMATICIANS PLS HELP ASAP, please do not put links in I won't click them and I know they're not the correct answer. Please these are urgent and I know its kind of tedious but i need help. Thank you so much to the kind smart person who ends up answering this.
Answer:
I just answered these with your most recent post.
Each grass square measures 1 foot by 1 foot. How much fence is needed to go around the garden?
Answer:
42 feet
Step-by-step explanation:
The length of fence is equal to the perimeter of the shape. That can be found by adding the lengths of the edges.
__
Clockwise from the upper left corner, the sum of edge lengths is ...
2 +6 + 3 + 6 + 2 + 7 + 1 + 1 + 5 + 1 + 1 + 7 . . . . feet
= 8 + 9 + 9 + 2 + 6 + 8 . . . . added pairwise
= 17 + 11 + 14
= 28 + 14 = 42 . . . feet
42 feet of fence is needed to go around the garden
I need Help Please, I will give brainliest!
Answer: You do I-ready welp I can help you
Step-by-step explanation:
I think it is 1 whole
Which statement best describes the "cult of domesticity" that emerged in the late 19th century?
A. A movement to allow women into medical schools.
B. Groups of women who gathered to discuss matters of the home and family.
C A widespread set of values relating to women, their behavior, and their place in the home.
D. The movement to attain voting rights for women citizens.
Answer:
a movement one single movement cultivating one group
Answer: C
Step-by-step explanation:
Please, I Really Need Help!
Steve bought a used banjo for $395.00 at a music store. He was charged $425.89 for the purchase. Find the sales tax and the sales tax rate.
Sales tax rate is_____%(Round to the nearest tenth of a percent.)
Answer:
3090%
Step-by-step explanation:
425.89 - 395.00 = 30.89
Round to the nearest tenth = 30.9
Convert to a percentage = 3090%
Given the function f(x) = –5|x 1| 3, for what values of x is f(x) = –12?
For the given function f(x) = –5|x + 1| + 3 the value of x = 2, -4
What will be the value of x?To find the answer to this question, we will have to find the values of x where:
-5|x + 1| + 3 = -12
We can solve this equation for x to find the values of x that satisfy this equation.
-5|x + 1| + 3 = -12
Subtract 3 from both sides.
-5|x + 1| = -15
Divide both sides by -5.
|x + 1| = 3
Now here, the equation will split off into two different equations. These two are:
x + 1 = 3
x + 1 = -3
Lets solve the first one first.
x + 1 = 3
Subtract 1 from both sides.
x = 2
Now we solve the second one.
x + 1 = -3
Subtract 1 from both sides.
x = -4
So now we have the answers x = 2 and x = -4.
So the values of x are x = 2, -4
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Robert bought a rope that is 28 yards long. He to cut
the rope into 18 inch pieces. How many 18 inch pieces
of rope will he have?
Answer:
The answer is 56. There would be 56, 18 inch pieces of rope.
Step-by-step explanation:
Give Brainliest if you would like :)
which equation represents a line which is perpendicular to the line x-5y=-40
Answer:
Final answer -
[tex]equation \: of \: such \: line \dashrightarrow \: y = - 5x + b \\ [/tex]
hope helpful :D
f g(x) = 2x + 2, find g(a + h) - g(a).
Answer: 2h
Step-by-step explanation:
What is the measure of angle y? 20
Step-by-step explanation:
as per the rules of intersecting lines, the angles between the lines must be the same on both sides of the lines. the just "mirror" (so, left becomes right, and right becomes left).
and since the basic grid is created with perpendicular lines (standing at 90° at each other), we are dealing in the top right and bottom left quarters with 2 angles that together add up to 90°.
these are called complementary angles.
so, in the top right quarter we have a 52° angle, and the other one must be
90 - 52 = 38°
as mentioned, the angles in the bottom left quarter must be the same but are mirrored, so,
y = 38°
The measure of angle ∠y = 38°
What are the angles formed by 2 intersecting lines?Two straight lines that intersect at the same location are said to be intersecting lines. The junction point is the place where two intersecting lines meet. Four angles are created when two lines cross. The four angles added together always equal 360 degrees.
Perpendicular lines are two straight lines that intersect and form right angles. When two perpendicular lines intersect, they form four right angles.
When lines intersect, two angle relationships are formed:
Opposite angles are congruent
Adjacent angles are supplementary
Given data ,
Let the first line be A
Let the second line be B
Now , the lines A and B intersect at the point O perpendicular to each other
And , The angles formed are = 90°
Let the measure of m∠A = 52°
Now , the measure of m∠y = 90° - 52°
The measure of angle m∠y = 38°
Hence , the measure of angle m∠y = 38°
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The triangle on the right is a scaled copy of the triangle on the left. Identify the scale factor. Express your answer as a whole number or fraction in simplest form.
8 8 8/3 8/3
Answer:
Step-by-step explanation:
2 regular octagons have sides of lengths 21 and 28, respectively. find the scale factor and ratio of the areas.
by definition two regular polygons of the same amount of sides will be similar. Check the picture below.
Which exponential model best represents the data? O f(x) = 3(1.2) O f(x) = 2(0.3)* O f(x) = 2(3)* O f(x) = 3(0.2)*
The exponential model has an initial value of 3
The exponential model of the data is f(x) = 3 * (1.2)^x
How to determine the exponential model?From the complete question,we have the following parameters:
Initial value, a = 3Growth rate, r = 0.2The exponential model is then calculated as:
f(x) = a * (1 + r)^x
Substitute known values
f(x) = 3 * (1 + 0.2)^x
Evaluate the sum
f(x) = 3 * (1.2)^x
Hence, the exponential model of the data is f(x) = 3 * (1.2)^x
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Answer:
f(x)=3(0.2)^x
Step-by-step explanation:
When x=0
f(0)=3
When x =1
f(1)=0.6
3 x 1.2 =3.6, 3 x 0.2=0.6
So then I just chose f(x)=3(0.2)^x and I got it correct on the quiz :)
Dose anybody know how to solve this problem
check the transformation template below, hmmm so to get the graph of "y" move to the right by 1 unit, we can simply make C = -1.
[tex]y=\stackrel{A}{1}\log_2(\stackrel{B}{1}x+\stackrel{C}{0})+\stackrel{D}{0}\qquad \qquad y=\stackrel{A}{1}\log_2(\stackrel{B}{1}x+\stackrel{C}{1})+\stackrel{D}{0} \implies y=\log_2(x-1)[/tex]
now, the x-intercept is simply where the graph touches the x-axis, and when that happens y = 0, so
[tex]\begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ log_a a^x = x\qquad \qquad a^{log_a x}=x\leftarrow \textit{let's use this rule} \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{y}{0}~~ = ~~\log_2(x-1)\implies 2^0=2^{\log_2(x-1)}\implies 2^0=x-1 \\\\\\ 1=x-1\implies 2=x~\hspace{10em}\stackrel{x-intercept}{(2~~,~~0)}[/tex]
Naomi wants to take yoga classes. she can take classes at the high school for a one-time fee of $20 plus $10 per class. she can join the local gym for $50 and take classes for $5 per class. which statement is true about the average cost for the two options? the high school option costs less per class for six classes. the gym option costs less per class for six classes. the high school option costs less per class for seven classes. the gym option costs less per class for seven classes.
The gym option costs less per class for six classes(Option B), and the gym option costs less per class for seven (Option D).
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
Here we're specified that:
For high school classes:
one-time fee of $20 plus $10 per class.For local gym:
she can join for $50 and take classes for $5 per class.For 6 classes:
High school : $20 + $(10 + 10 + 10 + 10 + 10 + 10) = $20 + $10 × 6 = $(20+60) = $80
(since $20 dollar is one time cost, and $10 was price for each class)
Similarly, joining local gym's $50 cost is one time, and rest of $5 is price for each class.
Local gym : $50 + $(5+5+5+5+5+5) = $20 + $5 × 6 = $(20+30) = $50
For 7 classes:
High school : $20 + $(10 + 10 + 10 + 10 + 10 + 10 + 10) = $20 + $10 × 7 = $(20+70) = $90
Local gym : $50 + $(5+5+5+5+5+5+5) = $20 + $5 × 7 = $(20+35) = $55
Thus, the statements which are true about the average cost for the two options is given by: Option B: The gym option costs less per class for six classes., Option D: The gym option costs less per class for seven classes.
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What is the volume of the rectangular prism in cubic yards?
The volume of the rectangular prism is 1120 yd³.
What is a prism?A prism is a solid geometric figure whose two ends are similar, equal, and parallel rectilinear figures, and whose sides are parallelograms.
To calculate the volume of the rectangular prism, we use the formula below.
Formula:
V = LWH.......... Equation 1Where:
V = Volume of the rectangular prismL = Length of the prismW = Width of the prismH = Height of the prism.From the question,
Given:
L = 14 yardsW = 8 yardsH = 10 yards.Substitute thee values into equation 1
V = 14×8×10V = 1120 yd³Hence, The volume of the rectangular prism is 1120 yd³.
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65%of 320+?=686
Options are:
a) 480
b) 452
c) 461
d) 475
e) none of these
Answer:
e) none of these
Explanation:
65% * 320 + ? = 686208 + ? = 686? = 686 - 208? = 478Answer:
e) None of these.
Step-by-step explanation:
Let the unknown number be x, then:
0.65*320 + x = 686
208 + x = 686
x = 686 - 208
= 478
I need help with this so it said 36 is 9 times more than this number
Answer:
36 is 9 times more than 4
Step-by-step explanation:
9 * ?? = 36
to find the unknown number we solve:
36/9 = 4
so 9 times 4 equals 36
means that 36 is 9 times more than 4
HOPE THIS HELPS :)
Answer:
4
Step-by-step explanation:
9x4=36. I corrected both the guys before me who messed up
Canada had 12,968,000 visitors while Mexico had 9,807,000 visitors. How many combined visitors did they have?
A. 22,775 visitors
B. 21,775,000 visitors
C. 22,765,000 visitors
D. 22,775,000 visitors
Answer: D
Step-by-step explanation: Add the two numbers
factor each completely
n^2 - 11n + 10
[tex] {n}^{2} - 11n + 10 = [/tex]
[tex](n - 1)(n - 10)[/tex]
.................................................
Why at is 4x^2 -24x+7=3
Answer:
can you clear more I don't understand
A rental car company charges $56.37 per day to rent a car and $0.09 for every mile
driven. Hawa wants to rent a car, knowing that:
• She plans to drive 500 miles.
• She has at most $440 to spend.
Which inequality can be used to determine x?
Answer:
7 Days or X = 7
Step-by-step explanation:
Before we even attempt the problem, we need to craft our equation to work with…
- Multiply 0.09 x 500 = 45
- Now we know what out equation will be which is 45 + 56.37x < $440
- First subtract 45 from $440
- Then devide 45 from 440
- There you go we found the value of x
Final answer:
45 + 56.37(7) = 440
Answer Sentence: So Hawa has 7 day to cover 500ml
(Sorry if I’m wrong)