Answer:
B 4 is the correct answer
Step-by-step explanation:
b - 12 = - 8
b = 12 - 8
b = 4
What is the scale of a map if 1 cm on a map represents 20 km in real life.
Answer:
1:20
Step-by-step explanation:
well a scale is comparing one thing to another so if 1cm on a map is equal to 20 km then the scale is cm to km
1 cm to 20 km
1:20
Answer:
0.00001:20
Step-by-step explanation:
First of all, we have to realize that we are converting the scale in real life. That means, in kilometers.
So, we know that there are 100,000 cm in 1 kilometer, therefore we can know that 1 cm will equal to 0.00001 kilometers. (I divided by 1 by 100,000. Move the decimal point from 1. by six places.)
There you have the answer: 0.00001:20
I NEED HELP ASAP!!!!
Explain how the distributive property helps us multiply the following polynomials and why and how the final products differ:
(a + b)^2, (a - b)^2, and (a - b)(a + b).
(I need an explanation, not just the answer, please.)
Answer:
Step-by-step explanation:
The distributive property states that for any three real numbers a, b, and c, we have:
a(b + c) = ab + ac
This property is very useful when multiplying polynomials, because it allows us to distribute each term in one polynomial to every term in the other polynomial.
For example, to square the binomial (a + b), we can use the distributive property twice:
(a + b)^2 = (a + b)(a + b)
= a(a + b) + b(a + b)
= a^2 + ab + ab + b^2
= a^2 + 2ab + b^2
We can see that the distributive property allows us to multiply each term in the first polynomial by each term in the second polynomial. We then group like terms and simplify to get the final product.
Similarly, to square the binomial (a - b), we can use the same process:
(a - b)^2 = (a - b)(a - b)
= a(a - b) - b(a - b)
= a^2 - ab - ab + b^2
= a^2 - 2ab + b^2
Again, we see that the distributive property enables us to distribute the terms in one polynomial to the other polynomial. We then group like terms and simplify to get the final product.
To find the product of (a - b)(a + b), we can use the distributive property again:
(a - b)(a + b) = a(a + b) - b(a + b)
= a^2 + ab - ab - b^2
= a^2 - b^2
This time, we see that the product is a difference of squares, which means that it can be factored further. In general, the product of two binomials that are conjugates of each other (i.e. have the same terms, but with one sign changed) will be a difference of squares.
How is density calculated given mass and volume?
A Mass divided by volume
B Mass multiplied by volume
C Sum of volume and mass
D Difference of volume and mass
Answer:
mass divided by volume
Step-by-step explanation:
You are fencing a rectangular puppy kennel with 26 feet of fence. The side of the kennel against the house does not need a fence, this side is 9 feet long. Find the missing length of the kennel.
Step-by-step explanation:
Given that,
Total length of the fence is 26 feet
The side of the house that does not need a fence is 9 feet long.
We need to find the missing length of the kenel.
26 feet is the perimeter of the kennel. Perimeter is the sum of all sides of a rectangle.
P = l+b+l+b
P=2b+l (because side of the kennel against the house does not need a fence
So,
26=2b+9
2b=17
⇒ b = 8.5 feet
l = 9 feet
So, the missing length of the kennel is 9 feet.
Please help!!!!!!!!!
Answer:
C
Step-by-step explanation:
A system has input x and output y. The output y and the input is related by dºg(t) +3dy(t) + 4y(t) = 2 do(t) + 3x(t) dt2 dt dt is this system a linear system? Why?
The system is not linear because it doesn't satisfy the superposition and homogeneity conditions. Linear systems are those that satisfy the following two conditions: Superposition and Homogeneity.
Homogeneity:
If the input of the system is multiplied by a constant, then the output of the system is multiplied by the same constant.
Suppose a system S, which takes an input x(t) and produces an output y(t).
If a is any constant, then
S[a * x(t)] = a * S[x(t)]
Superposition: The output of the sum of the inputs is equal to the sum of the outputs of each input separately.
If two inputs are given, say x1(t) and x2(t), and their respective outputs are y1(t) and y2(t), then the output of the system to the sum of the inputs is the sum of the outputs of each input separately.
That is, for any two inputs x1(t) and x2(t) that generate the corresponding outputs y1(t) and y2(t), respectively, we have that:
S[x1(t) + x2(t)] = S[x1(t)] + S[x2(t)]
Therefore, to know if the system is linear or not, it's important to verify if it satisfies these two conditions.
Let's verify if the given system satisfies them:
Homogeneity: Suppose that x(t) is the input to the system, then we need to verify whether the system satisfies the homogeneity condition.
Let a be any constant, then
S[ax(t)] = dºg(t) + 3ad(x(t)) + 4ay(t)
= a(2d(o)(t) + 3x(t))dt2 dt dtS[ax(t)]
= aS[x(t)]
Therefore, the system is homogeneous of degree 1.
Superposition:
Let x1(t) and x2(t) be two inputs, and let y1(t) and y2(t) be the corresponding outputs.
We need to verify whether the system satisfies the superposition condition. Then
S[x1(t) + x2(t)] = dºg(t) + 3d(x1(t) + x2(t)) + 4y1(t) + y2(t)
= dºg(t) + 3d(x1(t)) + 4y1(t) + dºg(t) + 3d(x2(t)) + 4y2(t)
= S[x1(t)] + S[x2(t)]
As the system does not satisfy the superposition condition, then it's not a linear system.
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simplify the expression:
3 (-2k+ 1) =
Answer:
-6k+3
Step-by-step explanation:
3(-2k+1)=?
3(-2k)= -6k
3(1)= 3
3(-2k+1)= -6k+3
Need help with this questions please.
Answer: x=8
Step-by-step explanation:
15*8 = 120 + 20 = 140
140+40 = 180 a perfect line
Answer:
Below
Step-by-step explanation:
Angle on a straight line =180
[tex]40\° + (15x +20)\°=180\°\\\\40 \°+(15(8)+20)\° =180\°\\\\40\°+(120+20)\°=180\°\\\\40\°+140\°=180\°\\\\180\°=180\°[/tex]
I need help ASAP !!!!!
Answer:
B
Step-by-step explanation:
60+40+x=180(angles in a triangle)
x= 180-100
x=80°
80+z=180(angles on a str line)
z= 100°
100+15+y=180(angles in a triangle)
y=180-115
y=65°
Answer:
c: x = 80, y = 65, z = 100
Step-by-step explanation:
The sum of all angles in a triangle is 180
so 40 + 60 + x = 180 and 15 + y + z = 180
40 + 60 + x = 180
100 + x = 80
x = 80
supplementary angles are equal to 180
x and z are supplementary
80 + z = 180
z = 100
15 + 100 + y = 180
115 + y = 180
y = 65
Pre-Calc Question: Given sinx-2sinxcosx=0, how do you solve for x through factoring?
2sin(x)cos(x) = sin(x)
2sin(x)cos(x) - sin(x) = 0
sin(x)(2cos(x) - 1) = 0
sin(x) = 0
x = 0, pi, 2pi
2cos(x) - 1 = 0
cos(x) = 1/2
x = pi/3, 5π/pi
x = 0, pi/3, pi, 5 pi/3, 2 pi
hope it helps
Is this number is scientific notation? Yes or No 3.2345 + 10^12th
can you guys help solve this
Answer:
Step-by-step explanation:
p^3*(-9)^2*q^2
8*-18*9
-144*9
-1296
Systematic Sampling Technique is used to select 5 numbers between 1 and 200. The first selected number is 12. What should be next four numbers? Follow steps described in this week Lectures section portion: Sampling Technique.. Group of answer choices
Answer:
24, 36, 48, and 60
Step-by-step explanation:
The data chosen when using a Systemic Sampling Technique has a specific set interval which keeps on repeating itself until all the data has been chosen. Therefore since the first number that was selected from the population was 12, we can assume that the selected numbers will be every 12 digits. Therefore based on this information, we can calculate that the next four numbers that are chosen would be the 24, 36, 48, and 60
Use the quadratic formula to find both solutions to the quadratic equation
given below.
3x2 - 5x-1=0
A. X= 5 - (gcf)13/6
B. X= 5 - (gcf)13/6
c. X= 5+ (gcf)13/6
D. X= -5 + (gcf)13/6
E. X= 5+ (gcf)37/6
F. x= 5 - (gcf)37/6
Answer:
E. X= 5+ (gcf)37/6
F. x= 5 - (gcf)37/6
Step-by-step explanation:
put in calculator MOD 5 3
write the values: -
a= 3 b= -5 c= -1
Solve for x.
x + 1 = 2
Ox= 1/4
O x= 1/2
O x = -1/2
0 x = -1/4
Answer:
x=-1/2
Step-by-step explanation:
Which is greater than 4? (a) 5, (b) -5,
Answer:
5
Step-by-step explanation:
Just by counting, 1 2 3 4 5. five is near the end, there for it is greater
Isla's hair grows an average of
1.25
centimeters each month. If Isla's
hair
has grown 10 inches since her
last haircut, how many months has it
been since she cut her hair?
Answer:
8 months
Step-by-step explanation:
Equation: 1.25x = 10
Divide both sides by 1.25
x = 8
Determine the principal square roots.
V25 =
V
16
Answer:
Step-by-step explanation:
Please either type "sqrt" or "√"; "V" does not represent "square root"
√25 = ±5 and the "principal square root" is +5
Similarly, the "principal square root of 16" is +4
given f(x)=3/2x+5 what is f(12)
Answer:
5 and 1/8
Step-by-step explanation:
The value of the given function f(x) = (3/2)x + 5 for the value of x = 12 is given by f(12) = 23.
To find the value of f(12) for the given function f(x) = (3/2)x + 5,
simply need to substitute x with 12 in the function expression and evaluate it.
f(x) = (3/2)x + 5
⇒ f(12) = (3/2) × 12 + 5
Now, perform the calculations step by step:
⇒ f(12) = (3/2) × 12 + 5
Divide 12 by 2 and multiply it to 3 we get,
⇒ f(12) = 18 + 5
Add 18 and 5 we get,
⇒ f(12) = 23
Therefore, the value of the function at x = 12 that is f(12) is equal to 23.
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Give a geometric description of the set of points in space whose coordinates satisfy the given pairs of inequalities.
yx2 , z0
xz2 , -5y0
The set of points in space that satisfy the given pairs of inequalities can be described geometrically as follows: The inequality y ≤ x^2 represents a parabolic region in the x-y plane where the y-coordinate is less than or equal to the square of the x-coordinate. This corresponds to a downward-opening parabola that opens towards the negative y-axis.
The inequality z ≥ 0 represents the region above the xy-plane, including the xy-plane itself. This is a half-space extending upwards from the xy-plane.
The inequality x ≥ z^2 represents a region in the x-z plane where the x-coordinate is greater than or equal to the square of the z-coordinate. This corresponds to a sideways-opening parabola that opens towards the positive x-axis.
The inequality -5 ≤ y ≤ 0 represents a vertical range of values for the y-coordinate between -5 and 0, inclusive. This corresponds to a segment on the negative y-axis between y = -5 and y = 0.
By combining these geometric descriptions, the set of points in space satisfying both pairs of inequalities is the region that lies below the parabolic surface, above or on the xy-plane, and to the right of the sideways-opening parabola, within the specified range on the negative y-axis. It is a three-dimensional region that can be visualized as a solid bounded by these surfaces.
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Give a geometric description of the set of points in space whose coordinates satisfy the given pairs of inequalities.
yx2 , z0
xz2 , -5y0
Is the given relation a function?
Answer:
D
Step-by-step explanation:
You can see that 4 repeats as an input, giving it two outputs (7 and 14). This means this is not a function.
write the EXPRESSION for these descriptions.
a) divide x by 5 ____
b) multiply x and 4 ____
c) divide x by 3 and then add 2 ___
Which of the following pair of triangles demonstrates that two triangles with three congruent angles are not necessarily congruent?
Answer:
it is A.
Step-by-step explanation:
this should be A.
if it isn't sorry
Answer:
A.
Step-by-step explanation:
2. How can you tell if a number is even or odd?
A. Look at the ones place.
B. Look at the tens place.
C. Look at the hundreds place.
D. Add o to the number.
Answer:
A.
bc if you have the answer 16 you look at 6 and see that 6 is a even number so the whole thing's even lol
Answer:
I think the answer is A
Step-by-step explanation
what is the imaginary number
Answer:
i
Step-by-step explanation:
you have nothing for us to solve so if you need the definition of it just let me know, but it is represented by the letter "i"
can someone help me with these two please
Answer:
1.) a= -49
2.) t= 3
Step-by-step explanation:
Find the solution for this inequality
-3x + 5 < 5
Answer:
2
Step-by-step explanation:
-3x+5 = 2<5
two less than 5
Question 11
Which expression is equivalent to 8 - 15?
A-8 + 15
B. -15 - 8
C. 15 - (-8)
D. 8 + ( - 15)
(7th grade math)
Answer:
I believe the answer is D.
Answer:
Step-by-step explanation:
15-8=7
Mavis wants to buy a book. She has $25, which is $9 less than she needs.
Does the book cost $34 or $38?
Answer:
$34.00
Step-by-step explanation:
Add 9 to 25 to find your answer
If you could travel 450 miles in 5.5 hours, then how far could you travel in 7 hours?
Answer:
I will use x as the distance traveled in 7 hours
450/5.5 = x/7.7 - set up proportion
5.5x = 3465 - cross products
5.5x/5.5 = 3465/5.5 - divide each side by 5.5
x = 630 - answer
hope this helps.
Step-by-step explanation:
