Answer:
250 meters/min = 15 km/hr
Step-by-step explanation:
The approximate number to divide from is 16.667. Divide the speed value by 16.667
A model of a statue is built to a scale of 1:5 from the same material as the real statue and weight 4 pounds. How many pounds does the real statue weigh?
Answer:
20 pounds
Step-by-step explanation:
If the model statue weighs 4 pounds and scale is 1:4, then 4x5=20.
The vertex of this parabola is at 2, -1 When the y-value is 0 the x value is 5 what is the coefficient of the squared term in the parabola equation.
A. -3
B. -4
C. 4
D. 3
Answer:
[tex]\large \boxed{\sf \frac{1}{9}}[/tex]
Step-by-step explanation:
[tex]\sf y=a(x-h)^2+k[/tex]
[tex]\sf Vertex = (h,k)[/tex]
y-value is 0 and the x value is 5
h = 2
k = -1
[tex]\sf 0=a(5-2)^2+-1[/tex]
Solve for [tex]\sf a[/tex] (the coefficient of the squared term).
[tex]\sf 0=a(3)^2+-1[/tex]
[tex]\sf 0=9a-1[/tex]
[tex]\sf 9a=1[/tex]
[tex]\displaystyle \sf a=\frac{1}{9}[/tex]
The coefficient of the squared term in the parabola equation is 1/9.
Answer:
Fot this parabola the coefficient for squared term is 7
Step-by-step explanation:
The formula for vertex equation is:
x = a*(y-h)^{2}+kx=a∗(y−h)
2
+k
if vertex is at (-3,-1) and in the formula the vertex is (k,h), we replace this values
x = a*(y +1)^{2} -3x=a∗(y+1)
2
−3
The other point of this parabola is (4,0), so we replace it in the formula below:
4 = a*(0 + 1)^{2} -34=a∗(0+1)
2
−3
4 = a*(1)-34=a∗(1)−3
4 +3= a*(1)4+3=a∗(1)
a=7a=7
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using complete sentences discuss a different kinds of real numbers in your answer. Give an example of each type and discuss which set each type.
Answer:
Real numbers are mainly classified into rational and irrational numbers. Rational numbers include all integers and fractions. All negative integers and whole numbers make up the set of integers. Whole numbers comprise of all natural numbers and zero.
There are 4 types of real numbers.
Rational Numbers
Irrational Number
Natural Numbers
Whole Numbers
What are the real numbers?Real numbers include rational numbers like positive and negative integers, fractions, and irrational numbers.
The set of real numbers, which is denoted by R, is the union of the set of rational numbers (Q) and the set of irrational numbers.
Rational Numbers; Any number specified in the form of a p/q or ratio fraction is called a rational number. The numerator is defined as p, and the denominator is represented as q, where q is not equal to zero. A rational number may be an integer, whole, and natural number.
For example: 0.67, 17, 214, etc.
Irrational Number; Irrational numbers are defined as the real number that cannot be represented as a simple fraction. In other words, it cannot be represented as a ratio, such as p/q, where p and q are integers, q≠0. It is the opposite of rational numbers.
For example; √5, √11, √21, etc.
Natural Numbers; An integer greater than 0 is a natural number. Natural numbers start at 1 and move to infinity.
For example; 1, 2, 3, 4, 5.
Whole Numbers; The whole number is the number system that contains all positive integers from 0 to infinity. The whole number is an integer of 0 or greater numbers.
For example: 1, 2, 3, 4, 5…..
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Translate the algebraic expression to a verbal expression: 3 + 1/2x
Answer:
I'm not sure but I believe it is "Three plus one-half times x."
The term "elevation" is often used to describe the height of a place (such as a city, a mountain, or a valley) compared to sea level. For example, the city of Houston, Texas has an elevation of 105 feet. The surface of the sea has an elevation of 0 feet. Some places are below sea level, so their elevations are negative values. Two towns have different elevations, but when the elevations are used as inputs of , they both produce an output of 25. Why do they produce the same output?
Answer:
obviously they will produce same output because the elevation of object and image will be same
Round 13.275 to the nearest hundredth.
Answer:
13.28
Step-by-step explanation:
The digit in the hundredth place is 7. We see that the digit in the thousandth place, 5, makes the 7 round up to 8.
Answer:
13.28
Step-by-step explanation:
0 to 4 (round down )
5 to 9 (round up)
[tex]13.275 \\ \: 100[/tex]
While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After returning to the United States he converts his money back to US dollars. How much of the original 250 US dollars does Phelan now have? Round to the nearest cent. 1 European euro = 1.3687 US dollars
Answer: Phelan now have 44.69 US dollars. of the original 250 US dollars.
Step-by-step explanation:
Given, Phelan spent 150 euros on his trip.
1 European euro = 1.3687 US dollars
So, 150 euros = 150 × 1.3687 US dollars
= 205.305 US dollars
≈ 205.31 US dollars [ Rounded to the nearest cent. ]
Initially he had 250 US dollars, now he has left (250-205.31)US dollars that is
44.69 US dollars.
Hence, Phelan now have 44.69 US dollars. of the original 250 US dollars.
Phelan now have 44.69 US dollars. of the original 250 US dollars.
Using the Exterior Angle Theorem, solve for the identified angle. WILL MAKE Brainliest!
Answer:
30
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles
150 = ?+120
Subtract 120 from each side
150-120 = ?
30 = ?
Answer:
[tex]\huge\boxed{<SUT = 30\ degrees}[/tex]
Step-by-step explanation:
According to exterior angle theorem:
The measure of the exterior angle is equal to the sum of non-adjacent interior angles.
So,
< VST = <STU + <SUT
150 = 120 + <SUT
<SUT = 150-120
<SUT = 30 degrees
If f (x)=|3x-2|. Then what is f(5)
Answer:
13
Step-by-step explanation:
|3(5)-2|
|15-2|
|13|
13
Divide 26hours and 6minutes by 6.
Answer:
26 hours + 6 minutes can also be said as 1560 min + 6 minutes
1560+6/6 = 1566/6 = 261
That is = 4 hours and 21 minutes
For every 3 days of vacation, Farah packs 4 outfits. Which of the following statements are true. Please hurry with the answer
Answer:
choice b d and e
Step-by-step explanation:
what is the doors width in simplest form
Answer:
x + 6
Step-by-step explanation:
From the question given above, the following data were obtained:
Length of rectangle = 3x + 6
Width of rectangle = 4x – 1
Width of door =..?
A careful observation of the diagram shows that the door is located along the length of rectangular room.
In a rectangle, two sides are equal. Therefore,
x + door + x = 3x + 6
Making door subject of the above formula, we have:
x + door + x = 3x + 6
door + x + x = 3x + 6
door + 2x = 3x + 6
Subtract 2x from both side
door + 2x – 2x = 3x + 6 – 2x
door = 3x – 2x + 6
door = x + 6
Therefore, the width of the door is x + 6
the clockwise distance between North east and south west is
Say it is two o'clock, draw an imaginary line between the hour hand and twelve o'clock to create the north-south line. You know the sun rises in the east and sets in the west so this will tell you which way is north and which way south. If you are in the Southern Hemisphere then it will be the other way round.
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Answer:
[See Below]
Step-by-step explanation:
C.
The solution to this is x ≤ 4.
So then we look at the graphs and choose the correct one.
When the sign is ≤ it's like an arrow whatever way it's pointing it goes that way. In this case it'd go the other way even though the sign is ≤, because the solution is stating 4 is greater then or equal to so it can't be less than 4. And the only option of +4 and higher is C.
A number is decreased by seven. Then, the new number is multiplied by 3 to get an answer of -9. What is the original number? A. -4 B. -30 C. 4 D. 30
Answer:
The answer is c
Step-by-step explanation:
You have to do everything backwards,
-9 divide it by 3 to get -3, then add seven to that answer
Answer:
C
Step-by-step explanation:
You can work backward to find out the answer!
Start with -9. Instead of multiplying by 3, you can divide.
-9/3 = -3
Now, instead of decreasing -3 by 7, increase by 7.
-3+7 = 4
You get 4, which is C!
Hope this helps!
If y = (9,-1) and w = (-1, -6), find the difference V - W.
ū - W =
Please help me asap.
===============================================
Let a,b,c,d be scalars.
In general if v and w are two vectors such that
v = <a, b>
w = <c,d>
then the difference of the two vectors is
v - w = <a-c, b-d>
so we subtract the coordinates
-----------------
Using that idea for the given vectors leads to
v = <9, -1>
w = <-1, -6>
v - w = <9 - (-1), -1-(-6)>
v - w = <9+1, -1+6>
v - w = < 10, 5 >
9. In the expression 4(2m-n), determine which of the following best describes the role of (2m-n).
A. 2m-n) is a factor.
B. 2m-n) is a term.
C. 2m-n) is a number.
D. 2m-n) is a coefficient.
10. In expression 4(2m-n) determine which of the following best describes the role of 2m.
A. 2m is factor
B. 2m is term
C. 2m is number
D. 2m is coefficient
Answer:
b
Step-by-step explanation:
2m is term because it is what you are looking for
In the expression 4(2m-n), (2m-n). is a term and In expression 4(2m-n), 2m is also a term. The correct options are B and B for both.
What is a term in an expression?One mathematical expression makes up a term. It could be a single variable (a letter), a single number (positive or negative), or the number of variables multiplied but never added or subtracted.
Variables in certain words have a number in front of them. A term is defined as a single number or single variable or number and variable multiplying with each other in a mathematics expression.
The first expression is 4(2m-n), then in the expression 2m - n will be the term of the expression.
The second expression is 4(2m-n), then in the expression 2m is the term of the expression.
Therefore, the expression 4(2m-n), (2m-n). is a term and In expression 4(2m-n), 2m is also a term.
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Explain how you find the scale factor using 2-3 sentences or showing each step. Explain using the ratio of the image length to the pre-image length.
Answer/Step-by-step explanation:
The scale factor = the ratio of the corresponding sides of the image and the preimage.
That is, A'B'/AB = B'C'/BC
The preimage is the smaller figure, given as ABCD.
AB = 3 - 1 = 2 units
BC = 4 - 1 = 3 units
The image is the larger figure, given as A'B'C'D'.
A'B' = 9 - 5 = 4 units
B'C' = 7 - 1 = 6 units
Scale factor = [tex] \frac{4}{2} = \frac{6}{3} = 2 [/tex]
Find an expression which represents the difference when (-2+9y) is subtracted
from (-6x + 4y) in simplest terms.
Answer:
-6x-5y+2
Step-by-step explanation:
Using the Segment Addition Postulate: If AB = 12 and BC = 18, what is AC? a.) 6 b.) 20 c.) 30 d.) 26
Can you help me with this assignment?
Answer:
AC =5
BC = 12
AB = 13
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2
(n-1)^2 + (2n)^2 = (n+7)^2
FOILing
n^2-2n+1 + 4n^2 = n^2+14n+49
Combine like terms
5n^2-2n+1 = n^2+14n+49
Bring everything to the left
5n^2-2n+1 -n^2-14n-49 = n^2+14n+49-n^2-14n-49
4n^2 -16n -48 = 0
Divide by 4
n^2 -4n -12 = 0
Factor
( n-6)(n+2) =0
Using the zero product property
n-6 =0 n+2 =0
n=6 n=-2
Since the length cannot be negative
n=6
AC = n-1 = 6-1 =5
BC = 2n = 2*6 = 12
AB = n+7 = 6+7 = 13
Given :
Hypotenuse of right angle triangle = n + 7
Base = n - 1
Altitude = 2n
Using Pythagoras theorem :
→ ( n + 7 )² = (n - 1)² + (2n)²
→ n² + 14n + 49 = n² - 2n + 1 + 4n²
→ n² + 14n + 49 = 5n² - 2n + 1 = 0
→ n² + 14n + 49 - 5n² + 2n - 1 = 0
→ -4n² + 16n + 48 = 0
→ -4(n² - 4n - 12) = 0
→ n² - 6n + 2n - 12 = 0
→ n(n - 6) + 2(n - 6) = 0
→ (n - 6)(n + 2) = 0
As n ≠ Negative
So, n ≠ -2
So, n = 6
Hypotenuse = n + 7 = 6 + 7 = 13
Base = n - 1 = 6 - 1 = 5
Altitude = 2n = 2 × 6 = 12
So,
AB = 13
AC = 5
BC = 12
g + 10 = 3g what does this look like in a verbal expression
"G plus Ten equals Three-G".
or
"The Variable G plus Ten equals Three-G".
The verbal expression is you putting it in the way that you would say the expression.
~
Answer:
The sum of a number and 10 is equal to three times that number.
Step-by-step explanation:
Break the parts down and put them together.
The sum of a number and 10: 'g + 10'
Is equal to: '='
Three times that number: '3g'
So:
The sum of a number and 10 is equal to three times that number: 'g + 10 = 3g'
Hope this helps.
7) If AB = 3x - 8 and BC = x + 12, find the value of x.
Answer:
Step-by-step explanation:
The question is incomplete. Here is the complete question.
In a square ABCD, if AB = (3x-8) and BC = (x+12), find the value of x. Also, find the length of each side of the square.
Note that all sides of a square are equal. Hence AB = BC for the square ABCD.
Given AB = (3x-8) and BC = (x+12), then AB = BC
3x-8 = x+12
collect like terms;
3x-x = 12+8
2x = 20
x = 20/2
x = 10
Substitute x = 10 into any of the side. Using side AB
AB = 3x-8
AB = 3(10)-8
AB = 30-8
AB = 22
BC = x+12
BC = 10+12
BC = 22
Hence x = 10 and the length of each side is 22
Equivalent to 1/2 (36x -14) +(2x-9)?
Answer:
20x - 16
Step-by-step explanation:
We can first do 1/2 (36x - 14), getting 18x - 7.
Then our expression becomes 18x - 7 + 2x - 9.
We can combine like terms, getting 20x - 16.
PLEASE HELPP I HAVE TO TURN THIS IN TODAY
Answer:
a translation is the movement of the shape from units left to right or up and down so its basically scooching over to the left for example but the size or shape doesn't change, hope this helped
Step-by-step explanation:
The gas tank of your car holds 10 1/3 gallons of gas. Your tank is one-quarter full. How much gas should you add to fill up your tank?
Answer:
4 1/4
Step-by-step explanation:
10 1/3 = 33/3 33/3 divided by 4 = 33/12 so one quarter of your tank can hold 33/12
now just do 33/12 times 3 which is 33/4 or simplified 4 1/4
Select all that apply to the given number.
2/3
Real
Irrational
Rational
Interger
Natural
Answer:
2/3 can be classified as..
rationalStep-by-step explanation:
It can be classified as a rational number because it can be in the form of p/q as of fraction and is made up of two integers making p the numerator and for q a denominator not involving a zero.
Answer:
real
rational
Step-by-step explanation:
What is the dependent and independent variable?and
What is the (x) and (y) axis?
Answer:
and independent variable It is a variable that stands alone and isn't changed by the other variables you are trying to measure. For example, someone's age might be an independent variable. and a Just like an independent variable, a dependent variable is exactly what it sounds like. It is something that depends on other factors. For example, a test score could be a dependent variable because it could change depending on several factors such as how much you studied, how much sleep you got the night before you took the test, or even how hungry you were when you took it.
3(5f + 2)- f = 2(-3)
pls help asap
Answer: -6/7
Step-by-step explanation:
3(5f+2)-f=2(-3)
15f+6-f=-6 ⇔ distributive property
14f+6=-6 ⇔ subtract f from 15f
14f=-12 ⇔ subtraction property of equality (subtract 6 on both sides)
f=-12/14 ⇔ division
f=-6/7
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Answer:
14f =-12
Step-by-step explanation:
3×5f+ 3×2-f = 2×-3
15f - f + 6 = -6
14f= -6