Answer:
[tex]\sqrt{450}= 21.21[/tex]
Step-by-step explanation:
[tex]\sqrt{450}=\sqrt{225*2}=15\sqrt{2}=21.21[/tex]
The required expression is 15√2.
In mathematics to operate and interpret the function to make function simple or more understandable is called simplification.
Simplification
= √450
=√3*3*5*5*2
=3*5√2
=15√2
Thus, the required expression is 15√2.
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What is the domain of this function?
Answer:
Option A
Step-by-step explanation:
A domain of a function are all the inputs of the function. (or x-values)
The picture is a function mapping.
The left 'oval' contains the domain, as the right 'oval' contains the range.
The numbers in the left oval are [-1,3,5]. Therefore, they are the domain of the function.
Option A should be your correct answer.
Which of the following figures could represent the cross section of a rectangular pyramid? Select all that apply.
A.
Circle
B.
Cube
C.
Rectangle
D.
Square
E.
Triangle
Answer:
Options C and E
Step-by-step explanation:
Option A. Circle
We can't get a cross section in the form of a circle.
Option B. Cube
We can't get a cross section in the form of a cube.
Option C. Rectangle
When we slice a rectangular pyramid parallel to the base but not through the vertex, we get a Rectangle.
Option D. Square
We can not get a square by slicing a rectangular pyramid.
Option E. Triangle
By slicing a rectangular pyramid perpendicular to the base and passing through the vertex we can get the cross section in the form of triangle.
Options C and E will be the answer.
If the two cars are now a straight-line distance of 17 kilometers apart, how far has the northbound car traveled?
Answer:
Step-by-step explanation:
The northbound car has traveled a distance of 6.2 miles.
Step-by-step explanation:
Step 1:
The eastbound car has traveled a distance of 5 miles and if a straight line is drawn between the two car's positions it would measure 8 miles.
This forms a triangle which has a hypotenuse measuring 8 miles while one of the other sides measures 5 miles.
Assume the distance traveled by the northbound car is x miles.
Step 2:
So the northbound car has traveled a distance of 6.244 miles. Rounding this off, we get 6.2 miles.
PLEASE HELP ME IM CRYING :(
Draw a picture for each mixed number.
Use fraction circl es or grid paper for each. 3 2/3 hours
Answer:
Step-by-step explanation:
im doing fraction circles
3 2/3
1 5/6
1 3/4
pls mark me brainliest
PLEASE HELP ...find the volume of the composite solid
Answer:
≈ 113.1 in³
Step-by-step explanation:
The figure comprises of a cylinder and a cone.
V cylinder = bh= πr²hV cone = 1/3bh = 1/3πr²hTotal volume is:
V = π*2²*8 + 1/3π2²*3 ≈ 113.1 in³what trinomial is represented by the tiles in the square?
Answer:
X^2-12x+ C
Step-by-step explanation:
Move 12x
To find the value c=(b/2^2,divide the coefficient of X by 2 and square the result.
Divide 12 by 2
(-1.6)^2
Multiply-1 by 6
(-6)^2
Raise -6 to the power of 2
36
f(r) = 3.14r2 . What is f(3)?
Answer:
The value of f(3) = 28.26
Step-by-step explanation:
You have to do is to substitute r = 3 into the function :
[tex]f(r) = 3.14 \times {r}^{2} [/tex]
[tex]f(3) = 3.14 \times {3}^{2} [/tex]
[tex]f(3) = 3.14 \times 9[/tex]
[tex]f(3) = 28.26[/tex]
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the systems of equations with their solution sets. y + 12 = x2 + x x + y = 3 y − 15 = x2 + 4x x − y = 1 y + 5 = x2 − 3x 2x + y = 1 y − 6 = x2 − 3x x + 2y = 2 y − 17 = x2 − 9x -x + y = 1 y − 15 = -x2 + 4x x + y = 1 Solution Set Linear-Quadratic System of Equations {(-2, 3), (7, -6)} arrowRight {(-5, 8), (3, 0)} arrowRight {(-2, 5), (3, -5)} arrowRight {(2, 3), (8, 9)} arrowRight
Answer:
Step-by-step explanation:
The solution of this systems of equations is the intersection of both graphs
Let's kick start with a:
a)
[tex]y+12 = x^2+x \\ \\ x+3 = y[/tex]
From the first attached diagram by using graph:
the solution is the set {(-5, 8), (3, 0)}
b)
[tex]y-15=x^3+4x \\ \\ x-y =1[/tex]
Using the graph tool from the last diagram below;
the solution is the set⇒( there is no solution)
c)
[tex]y+5 =x^2-3x \\ \\ 2x+y =1[/tex]
From the second attached diagram by using graph:
the solution is the set {(-2, 5), (3, -5)}
d)
[tex]y-6=x^2-3x \\ \\ x+2y =2[/tex]
the solution is the set ⇒ there is no solution (shown in the last diagram below)
e)
[tex]y-17=x^2-9x \\ \\ -x+y =1[/tex]
the solution is the set {(2, 3), (8, 9)} as shown in the third diagram
f) Lastly:
[tex]y-15=-x^2+4x \\ \\ x+y =1[/tex]
Using the graph tool from the fourth diagram below;
the solution is the set {(-2, 3), (7, -6)}
The solution to the system of equations are the truth values of the system of equations
[tex]\mathbf{(a)\ y + 12 = x^2 + x,\ x + 3 = y}[/tex]
The graphs of the equations intersect at (-5,8) and (3,0).
So, the solution set is {(-5,8), (3,0)}
[tex]\mathbf{(b)\ y - 15 = x^3 + 4x,\ x - y = 1}[/tex]
The graphs of the equations do not intersect
So, the system has no solution
[tex]\mathbf{(c)\ y + 5 = x^2 - 3x,\ 2x + y = 1}[/tex]
The graphs of the equations intersect at (-2,5) and (3, -5).
So, the solution set is {(-2, 5), (3, -5)}
[tex]\mathbf{(d)\ y - 6 = x^2 - 3x,\ x + 2y = 2}[/tex]
The graphs of the equations do not intersect
So, the system has no solution
[tex]\mathbf{(e)\ y - 17 = x^2 - 9x,\ -x + y = 1}[/tex]
The graphs of the equations intersect at (2,3) and (8,9).
So, the solution set is {(2, 3), (8, 9)}
[tex]\mathbf{(f)\ y - 15 = -x^2 + 4x,\ x + y = 1}[/tex]
The graphs of the equations intersect at (-2,3) and (7,-6).
So, the solution set is {(-2, 3), (7, -6)}
Read more about system of equations at:
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A bag contains five red marbles, two orange marbles ,one yellow marble , and two green marbales. Two marbles are drawn from the bag. What is the approximate probability of choosing an orange marble and green marble?
Answer:
Should be 4/10
Step-by-step explanation:
If you add all the marbles up you get the total/denominator of 10. Then you find the fraction for orange marbles which is 2/10. Then the green, 2/10. Add the numerators and keep the denominator the same.
Find the area of the triangle ABC given angle A = 45°, b = 8, and c = V2.
Answer:
180
Step-by-step explanation:
triangle 1/2 base x height = area 45 x 4 = 180
Epstein family is making 11 gift baskets for a charity auction. Mrs. Epstein has already completed 4 1/3 baskets and Mr. Epstein has completed 1.5 baskets. How many more baskets need to be made?
What type of problem is this? How can you tell?
1.a part-whole problem because Mr. Epstein has made part of the amount Mrs. Epstein has made
2.a part-whole problem because the unmade part of the 11 baskets is unknown
3.a comparison problem because the number of completed baskets is compared to the number of unmade baskets
4.a comparison problem because the number of baskets Mrs. Epstein has completed is compared to the number Mr. Epstein has completed
ill give brainliest if u awnser
Answer:
2.a part-whole problem because the unmade part of the 11 baskets is unknown
Step-by-step explanation:
It is the only one that wold make sense with this problem
Answer:
the answer is b
Step-by-step explanation:
edge 2021
combine like terms .Plez Halp TnT
A. 7a + 70 - 13 a - 1 lb
B. -5a - 12a + 2b - 3b
Answer:
[tex]a) - 6a + 70 - 11b[/tex]
[tex] b) - 17a - b[/tex]
Step-by-step explanation:
[tex]7a + 70 - 13a - 11b \\ 7a - 13a + 70 - 11b \\ = - 6a + 70 - 11b[/tex]
[tex] - 5a - 12a + 2b - 3b \\ = - 17a - b[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
I need help with these 3 question please and thank you I am so lost I been on this page for like hour now can someone please help me
Answer:
the 'questions' that you have posted are the answers for the questions above
Step-by-step explanation:
The image of (-2, 6) after a dilation with respect to the origin is (-10, 30). What is the
scale factor of the dilation?
a−8a=210, then a= [blank] .
a=-30 because -30-(8 x -30)=210.
How do you solve this problem in the photo?
Answer: 5^2
Step-by-step explanation:
Since the base are all the same, you will add the exponents and let the exponents stay the same.
5^3 * 5^4= 5^7 * 5^-5= 5^2
Answer:
25
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]
The rule can be extended to include more than 3 terms.
Given
5³ × [tex]5^{4}[/tex] × [tex]5^{-5}[/tex]
= [tex]5^{(3+4-5)}[/tex]
= 5²
= 25
If M=(2,5) is the midpoint of AB, and A=(0,-1), then the coordinates of B are _____.
A. (4, 11)
B. (1, 3)
C. (-2, -7)
D. (1, -2)
Answer:
The point M(Mx, My) is mid-point of AB with A(Ax, Ay) and B(Bx, By).
=> 2*Mx = Ax + Bx => 2*2 = 0 + Bx => Bx = 4
=> 2*My = Ay + By => 2*(5) = -1 + By => By = 11
=> B(4, 11)
=> Option A is correct
Hope this helps!
:)
Solve the missing elements for each problem. Use 3.14
Can someone answer this fast
Answer:
C.
Step-by-step explanation:
Well the measure of the angle between the two angles that you have been given is 180 - 45 - 75 which is 60°
75° + 60° = 135°
The arc that the central angle intercepts is equal to it.
Arc VX is 135°
The ratio of boys to girls in a group is 5:1. If there are 60 more boys than girls, work out how many people there are in total.
Answer:
The number of boys: a
The number of girls: b
=> a/b = 5
a - b = 60
=> (b + 60)/b = 5
=> b + 60 = 5b
=> 4b = 60 => b = 15 => a = 5 x 15 = 75
=> Total people:
T = a + b = 15 + 75 = 90
Hope this helps!
:)
a) Simplify 48 : 64
I'm really not good at ratio
Answer:
3:4
Step-by-step explanation:
They both go into 16
48/16 = 3
64/16 = 4
3:4
Answer:
3:4
is the answer according to me
20 points plz help me out
Answer:
13) x=5
14) x=70
16) x=42
Step-by-step explanation:
Couldn't read 15 sorry
what i 12 x Q is greater than 12 but less than 24
Answer:
12 x 1.5 = 18.
Step-by-step explanation:
Pretty much anything between 1 and 2. :P
The volume of a cylinder is 1029pi cmcubed. The radius of the base of the cylinder is 7 cm. What is the height of the cylinder?
Answer:
Height is 21cm
Step-by-step explanation:
Volume of the cylinder = 1029pi
Base area = 7x7xpi = 49pi
Therefor the height = 1029pi/49pi=1029/49 = 21cm
Answer:
21 cm.
Step-by-step explanation:
V = π r^2 h
1029π = π * 7^2 * h The π is common so:
1029 = 7^2 h
h = 1029 / 49
= 21 cm.
What is the m∠2 if m∠4 = 81° and m∠3 = 40°?
a. 40°
b. 59°
c. 41°
d. 60°
Answer:
C. 41
Step-by-step explanation:
180 - 81 = 99
99+40 = 139
180 -139 = 41
Find the volume of the composite figure if necessary on answer to the nearest 10
Answer:
Volume = 2448 cm3
Step-by-step explanation:
Volume = volume of cube + volume of pyramid
= 12*12*12 + 12*12*15/3
= 1728 + 720 =2448
What is the relationship between a sample and a population?
a. A sample is a census that represents a population.
b. A sample and a population share the same meaning.
c. A sample is a small part of a population that represents that population.
d. A population is a small part of a sample that represents that sample.
Answer:
c. A sample is a small part of a population that represents that population.
Step-by-step explanation:
A sample is a portion of individuals used to collect data, while the population is the total number of individuals. The information from the sample is used to represent the entire population.
Therefore, c is the correct answer.
Relationship between sample and population : A sample is a small part of a population that represents that population.
Given,
Relationship between sample and population .
Here,
A sample is a portion of individuals used to collect data, while the population is the total number of individuals. The information from the sample is used to represent the entire population.
Therefore, c is the correct answer.
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Siobhan scores 4 out of 10 marks in a science test,
what is her score as a percentage?
Answer:
40 percent
Step-by-step explanation:
covert fraction 4 out of ten is 40 %
Answer:
40%
Step-by-step explanation:
A percentage is basically x/100.
Therefore, if we convert Siobhan's mark into a fraction, we get 4/10. Then, by converting the fraction to fit x/100, we get 40/100 (remember, we must do the same to both the numerator and the denominator, so in this case it's multiply them by 10). Now that we have x, we can fit that into the answer to get 40%.
solve y=x+4
y=3x−1 to get the solution
Answer:
6
Step-by-step explanation:
x = 2 y = 6 Explanation: y = 3 x (1) y = x + 4 (2) Subtracting (1) - (2): 0 = 2 x − 4 2 x = 4 x = 4 2 = 2 y = 3 × 2 = 6
Answer:
x = 2.5
y = 6.5
Step-by-step explanation:
You can solve this by setting the two equations equal to each other, like so:
x + 4 = 3x - 1
Subtract x from both sides:
x + 4 = 3x - 1
-x - x
__________
4 = 2x - 1
Add 1 to both sides:
4 = 2x - 1
+1 + 1
_________
5 = 2x
Divide by 2:
2.5 = x
Plug in 2.5 for x into the equation:
y = x + 4
y = 2.5 + 4
y = 6.5
What is the solution set to the equation x^2+6x+3=0
Answer:
That is a quadratic equation in which
a = 1
b = 6
c = 3
The quadratic formula is:
x = [-b +- sqr root (b^2 -4*a*c)] / 2*a
x = [-6 +- sqr root (36 -4 * 1 * 3)] / 2
x1 = [-6 + sqr root (24)] / 2
x2 = [-6 - sqr root (24)] / 2
Step-by-step explanation: