Step-by-step explanation:
[tex]\sqrt{450b^9}[/tex] [tex]\sqrt{450}[/tex] ×[tex]\sqrt{b^9}[/tex] 15[tex]\sqrt{2}[/tex] × b^(9*0.5)15[tex]\sqrt{2}[/tex] × b^(9/2) 15[tex]\sqrt{2}[/tex] × [tex]\sqrt[2]{b^9}[/tex] 15[tex]\sqrt{2\sqrt{b^9} }[/tex]The simplified expression is 6[tex]b^4[/tex]√(12,.5b)
We have,
[tex]\sqrt{450b^9}[/tex]
This can be simplified as,
√450 x [tex]\sqrt{b^9}[/tex]
Finding the perfect square values.
= √(9 x 50) x √(b x [tex]b^8[/tex])
=√(3² x 50) x √b x √([tex]b^4[/tex])²
Square root cancel with perfect square values.
= 3 x √50 x √b x [tex]b^4[/tex]
= 3 x √(4 x 12.5) x √b x [tex]b^4[/tex]
= 3 x 2 x √12.4 x √b x [tex]b^4[/tex]
= 6[tex]b^4[/tex]√(12,.5b)
Thus,
The simplified expression is 6[tex]b^4[/tex]√(12,.5b)
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
A county is considering raising the speed limit on a road because they claim that the mean speed of vehicles is greater than 45 miles per hour. A random sample of 25 vehicles has a mean peed o 48 miles per our and a standard deviation of 255 miles. What is the sample statistic?
Answer:
48 miles per hour.
Step-by-step explanation:
The definition of a sample statistic is "any function of observed data, such as the sample mean, sample variance, etc.".
We are given both the sample mean and the sample variance. But samples exist to be compared to the population.
Since we are given the data that "the mean speed of vehicles is greater than 45 miles per hour", we are told what is happening to the mean, not the standard deviation. So, we will use the mean of the sample of 25 vehicles to state the sample statistic: mean speed of 48 miles per hour.
Hope this helps!
Use the integer tiles to find the quotient: 36 ÷ 6 = 6
Answer:
x=6
Step-by-step explanation:
Suppose x is 36÷6
x=36÷6
x=6
Answer:
36 / 6 = 6
36 = 6 * 6
36 = 36
Hope this somewhat helps!
find the value of the polynomial 5 x minus 4x square i) x=0
Answer:
If x = 0, then the value of the polynomial = 0
Step-by-step explanation:
Given that ;
F(x ) = 5x - 4x^2
Substituting 0 for x we have;
F(0) = 5(0) -4(0)^2 = 0 + 0 = p
a drawer contains 30 pens of various colors: 4 are black 10 are blue, 3 are red, 6 are green , 6 are blue and red and 1 white A pen having blue or red is taken out of the drawer
Answer:
Probability of blue or red = 3/10
Step-by-step explanation:
4 are black 10 are blue, 3 are red, 6 are green , 6 are blue and red and 1 .
Total = 30
Probability of having a blue = 6/30
Probability of having a blue= 1/5
Probability of a red = 3/30
Probability of a red= 1/10
Probability of a blue or a red=
Probability of blue + probability of red
= 6/30 + 3/30
= 9/30
= 3/10
The area of one face of a cube is 4x².
Write a simplified expression for the total surface area of the cube.
Answer:
Step-by-step explanation
Jocelyn has 4 rabbits each pair have 4 babies every year. How many Rabbits will Jocelyn have in 5years? Write an equation and show work.
Answer:
4096
Step-by-step explanation:
You do the equation 4^6
[tex]\huge\mathbb\skyblue{Question:}[/tex]
Jocelyn has 4 rabbits each pair have 4 babies every year. How many Rabbits will Jocelyn have in 5years? Write an equation and show work.
[tex]\huge\mathbb\skyblue{Solution:}[/tex]
do this equation 4^6 ^^
So the Answer is 4096
[tex]\huge\mathbb\color{skyblue}{Answer:}[/tex]
4096 rabbits will Jocelyn have in 5years.
᯽᯽᯽᯽᯽᯽᯽᯽᯽᯽᯽᯽᯽᯽
If you have any questions, feel free to ask me <33
[tex]\tiny\bold\color{lightpink}{\boxed{\overbrace{\underbrace{ArianahMaxxiLou}}}}[/tex]
if anybody can answer atleast 1 of the 2 questions that would be great! Thank you:) *Grade 9 work*
Answer:
perimeter=[tex]2(l+b)[/tex]
2(3b+5+2b-1)=
2(5b+4)=0
5b+4=o
b=-4/5
but be can't be -ve
therefore,b=4/5 or 0.8
Answer:
6) The perimeter of the triangle is 3(3x - 1)
7) The perimeter of the rectangle is 2(5b + 4)
Step-by-step explanation:
The perimeter of a triangle and a rectangle is found by adding up all the sides.
6) Perimeter of triangle = 3x - 3 + 4x - 1 + 2x + 1 = 3x + 4x + 2x - 3 - 1 + 1 = 9x - 3 = 3(3x - 1)
7) Perimeter of rectangle = 2(L + B) = 2(3b +5 + 2b - 1) = 2(5b + 4)
What else would need to be congruent to show that triangle ABC cong Triangle XYX by ASA?
Explanation:
AC = XZ shows that the horizontal pieces are congruent. This is the "S" of "ASA" as it stands for the pair of congruent sides. We are also given angle A = angle X. This is one of the "A"s in "ASA" as it stands for pair of congruent angles.
What we're missing is the other pair of angles. We must pick C and Z because they help sandwich the two sides mentioned above. ASA has the two angles surrounding the sides; or the sides are between the angles. We can't pick B and Y, unless we were doing AAS which is a similar related idea. The order matters when it comes to ASA and AAS. However, AAS is the same as SAA.
Answer:
AC=XZ
so the correct answer is D
Plzzz help if u do both I’ll give Brainlynest
Answer:
Step-by-step explanation:
Q1; 10 units
The dotted lines separate the figure into 3 shapes - 1 square, 2 triangles.
The area of a square is s^2, where s is the side length.
The side length of the square is 2. 2^2 =4
The area of the square is 4 units.
The area of a triangle is bh/2, where b is the base and h is the height.
The base of the triangle on the left is 2 and the height is also 2. 2(2)/2 =2
The area of the left triangle is 2 units.
The triangle on the right has a base of 2 and a height of 4. 4(2) =8 /2 = 4
The area of the right triangle is 4 units.
The area of the composite figure is the area of the 2 triangles and the square added together; 4+2+4 =10
The area of the figure is 10 units.
Q2: The area of the shaded area is 44.2654825 [tex]cm^2[/tex].
The area of a circle is π[tex]r^2[/tex]. The radius of this circle is 4cm.
Therefore, the area of the circle is 16π[tex]cm^2[/tex].
The formula for area of a rectangle is length times width. The length of this rectangle is 3 and the width is 2.
Therefore, the area of the rectangle is 6 cm^2
We're looking for the area of the shaded region (area of circle- rectangle), so we subtract the area of the rectangle from the area of the circle.
16π simplifies to 50.2654825 cm^2.
50.2654825-6 = 44.2654825 cm^2
The area of the shaded area is 44.2654825 [tex]cm^2[/tex].
Relatively few (7.6%) high school students said that they rarely or never wore a seat belt, whereas 41.4% reported having texted or emailed while driving during the 30 days prior to taking the survey. What factors might account for this significant discrepancy, especially since texting while driving is arguably much riskier than not wearing a seat belt?
Answer:
Check Explanation
Step-by-step explanation:
The amygdala is the brain's emotional center. It is responsible for instinctual thinking and impulse control. It develops during early teenage years and this means the amygdala is not developed to the optimal level during teenage years. This makes teenagers very prone to impulsive behavior.
Also, the prefrontal cortex which is responsible for decision-making skills and the ability to measure risks is not fully developed in the teenage child stage. This is why teenagers make poor decisions and aren't great at measuring risks thereby making riskier choices like using the phone while driving.
These two brain components are fully developed in adults hence, it is less likely for adults to make poor decisions like texting while driving, which is a riskier thing to do than not using a seatbelt.
Again, teenagers have this invincibility feeling where they feel like they are more active and can react faster to road dangers. This deceives them into making such riskier decisions.
The current world also has turned into something else where people (teenagers especially) strive to get the most current news information as they are happening. The need to stay connected to social media is another reason why teenagers can't stay off their phones.
Finally, the fact that public intervention programs and ad campaigns promoting seat-belt use way more than not using cell-phones use while driving also mean more people are more conscious about using seatbelts while driving than not using their cellphones. In recent times, the campaigns, laws and bans on use of phones while driving are just gaining prominence.
In conclusion, the combination of all these factors/reasons is why the percentage of teenage high school students who use phones while driving is way more than the percentage that don't use a seatbelt although texting while driving is arguably much riskier than not wearing a seat belt.
Hope this Helps!!!
what's the answer to
1067×6740
Answer:
(1067)(6740)
=7191580
Step-by-step explanation:
I hope this help you :)
If you need another thing just let me know.
Is (x + 7) a factor of f(x) = x^3 − 3x^2 + 2x − 8? Use either the remainder theorem or the factor theorem to explain your reasoning.
Answer:
No there is a remainder of -512
Step-by-step explanation:
Divide (x+7) into (x^3 - 3x^2 + 2x - 8)
x^2-10x+72 R -512/(x+7)
According to the Factor theorem, (x+7) is not a factor of f(x) = x^3 − 3x^2 + 2x − 8.
What is remainder theorem?The theorem is as follows: A polynomial f(x) has a factor (x−p) if and only if f(p)=0.
Consider, f(x) = x^3 − 3x^2 + 2x − 8
Here, the expression we have is (x + 7), so we have to find f(-7) in order to check if (x+7) is a factor of f(x) or not
Here, p = −7
Now, lets check
f(−7)=(−343)−3(49)−14−8
f(−7)=−343−147−14−8
f(−7)=−512, which is not equal to 0 .
So, According to the Factor theorem,
(x+7) is not a factor of f(x) = x^3 − 3x^2 + 2x − 8.
Learn more about remainder theorem;
https://brainly.com/question/13000199
#SPJ2
Find the roots of the quadratic equation 2x^2-x-4 =0
Answer:
I hope it will help you...
Question 13 PLEASE HELP Find the x-intercept of -x +2y =6. X-intercept: (___,0)
Answer:
(-6,0)
Step-by-step explanation:
The x intercept is when y = 0.
So, -x +2(0) = 6
-x = 6
x = -6
The diagram shows a square. Find the length of the side of the square.
Answer:
20 centimeters
Step-by-step explanation:
A square has all sides equal.
6x - 1 = 4x + 6
6x - 4x = 6 + 1
2x = 7
x = 7/2
Plug in x as 7/2 in one of the side lengths.
6(7/2) - 1
42/2 - 1
21 - 1 = 20
Answer:
20Step-by-step explanation:
Sides of a square are always equal.
6x - 1 = 4x + 6
Move the variable to L.H.S and change its sign
6x - 4x - 1 = 6
Move the constant to RHS and change its sign.
6x - 4x = 6 + 1
Simplify
2x = 7
Divide both sides by 2
2x/2 = 7/2
X = 7/2
Again,
6x - 1
plugging the value of X
= 6 * 7/2 - 1
= 3 * 7 - 1
= 21 - 1
= 20
Hope this helps...
what is 1+1, is the answer a letter and why
Answer:
2
Step-by-step explanation:
Lets say John had 1 apple and Sarah gave him 1 more apple. John would now have 2 apples.
Hope this helps :)
Answer:
B
Step-by-step explanation:
1=a 2=b
Which is the equation of a line that passes through the point (3, 2) and is parallel to the line in the graph?
Answer:
y = 3x/2 − 5/2
Step-by-step explanation:
Parallel to the line y= -2x + 4 and passes through point A(2, 4)
============================================================
Explanation:
Parallel lines have equal slopes, but different y intercepts. The given line y = -2x+4 has a slope of -2. Any line parallel to this will also have a slope of -2.
So m = -2
The unknown line goes through the point (x,y) = (2,4). Which means x = 2 and y = 4 pair up together.
Plug m = -2, x = 2, y = 4 into y = mx+b and solve for b
y = mx+b
4 = -2(2)+b
4 = -4+b
4+4 = b ... adding 4 to both sides
8 = b
b = 8
Since m = -2 and b = 8, we go from y = mx+b to y = -2x+8
--------------
Side note: the y intercept of the original equation is 4 while the y intercept of the new equation is 8
Answer:
y=-2x+8
Step-by-step explanation:
y= -2x + 4 and passes through point A(2, 4)
if a line is parallel then the two lines have the same slope
since the line passes through A(2,4) then
y=-2x+b find b
4=-2(2)+b
b=4+4=8
b=8
y=-2x+8
Eurostar is a high-speed railway service connecting
London with Paris and Brussels.
In February, 350,000 passengers travelled by Eurostar.
Each train has 15 carriages and each carriage has 32 seats.
How many trains would be needed
to seat 350,000 passengers?
If all the empty seats are on
the last train, find:
the number of empty carriages
you could make;
the number of empty seats across
all the other carriages.
Answer:
730 trains would be needed to seat 350,000 passengers , 10950 carriages would be needed and 350400 seats would be required
Step-by-step explanation:
Number of carriages in 1 train = 15
Number of seats in 1 carriage = 32
Number of seats in 15 carriages =[tex]32 \times 15 =480[/tex]
So, Number of seats in 1 train = 480
Number of trains needed to seat 350,000 passengers=[tex]\frac{350000}{480}=730[/tex]
Number of carriage in 1 train = 15
Number of carriage in 730 trains = [tex]15 \times 730=10950[/tex]
Number of seats in 1 carriage = 32
Number of seats in 10950 carriage =[tex]32 \times 10950=350400[/tex]
Hence 730 trains would be needed to seat 350,000 passengers , 10950 carriages would be needed and 350400 seats would be required
solve this question with calculation please:
Answer:
x=80
Step-by-step explanation:
the figure depicts a pentagon.
we can use linear pair method to find x
we should find interior angles
angle E= 180-90= 90
angle D=180-60= 120
angle C=180-x
angle A= 90 given
angle B= 180-40= 140
angle sum of a pentagon = 540
by formula (n-2)180. n is the number of sides
equation= 90+120+180-x+90+140= 540
620-x= 540
620-540=x
80=x
Evan is making a table that will be created in the shape of the figure below. The table top is a triangle attached to a rectangle. To purchase the right amount of paint, he needs to know the area of the table top. He can only spend $10 on paint, which is enough to cover 150 ft2 of surface area. What is the maximum length of the base of the rectangle he can build? (3 points)
An image of a compound shape made up of a rectangle and a triangle is shown. The length of the rectangle is labeled x and the width is labeled 6 feet. The base of the triangle is labeled 4 feet and the height is labeled 6 feet.
Answer:
23 ft
Step-by-step explanation:
The surface area is known to be 150 square feet. Given the dimensions of this triangle ( 6 feet by 4 feet ) we can determine it's area, therefore calculating the area of this rectangle by subtracting the area of the triangle from the total surface area ( 150 square feet ). The amount of money on paint was there to mislead you, however it gave us the key point of being able to cover a maximum surface area of 150 square feet.
Surface Area = 150 ft²,
Area of Triangle = ( 6 [tex]*[/tex] 4 ) / 2 = ( 24 ) / 2 = 12 ft²,
Area of Rectangle = Surface Area - Area of Triangle = 150 ft² - 12 ft²
= 138 ft²
Let x = length of the rectangle
138 ft² = x [tex]*[/tex] 6 ft,
x = 138 ft² / 6 ft = 23 ft - this is the maximum length of the base of the rectangle he can build.
*The maximum length of the base of the rectangle is 23 ft.*
Given:
Triangle:
height = 6ft
base = 4ft
Rectangle:
length = x
Width = 6 ft
Surface Area = 150ft²
Area of a Triangle = h*b / 2 = (6ft * 4ft) / 2 = 12ft²
Area of a rectangle = Surface Area - Area of a Triangle
A = 150 ft² - 12 ft² = 138 ft²
138 ft² = x * 6ft
138 ft² / 6 ft = x
23 ft = x
23ft is your answer
Find the value of h in the triangle.
18.2 m
12 m
h
21.8 m
[ ? lm
Answer:
10 mStep-by-step explanation:
Area of ∆ = 1/2 * base* height
b= 12 m
h= 18.2 m
Area = 1/2*12*18.2
Considering,
base= 21.8 m
A= 1/2*21.8* h
[tex] \frac{1}{2} \times 12 \times 18.2 = \frac{1}{2} \times 21.8 \times h[/tex]
[tex]h = \frac{12 \times 18.2}{21.8} [/tex]
[tex]h = 10.018 \: m[/tex]
[tex]h = 10 \: m[/tex]Hope this helps...
Good luck on your assignment..
Answer:
40
Step-by-step explanation:
The function c(n) below relates to the number of bushels of apples picked at a pick-your-own-orchard to the final cost for the apples. It takes as input the number of bushels of apples picked after paying an entry fee to the orchard, and it returns as output to the cost of the apples (in dollars). c(n)=15n+30 Which equation below represents the inverse function n(c), which takes the cost of the apples as input and returns the number of bushels as output? A) n(c)=c-15/30 B) n(c)=c+15/30 C) n(c)=c+30/15 D) n(c)=c-30/15
Answer:
D) n(c) = c/15 - 2.
Step-by-step explanation:
c(n) = 15n + 30
c = 15n + 30
15n + 30 = c
15n = c - 30
n = c/15 - 2
D) n(c) = c/15 - 2
Hope this helps!
The correct answer is option D which is n(c) = c/15 - 2.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The inverse function of the given expression will be calculated as follows:-
c(n) = 15n + 30
c = 15n + 30
15n + 30 = c
15n = c - 30
n = c/15 - 2
Therefore the correct answer is option D which is n(c) = c/15 - 2.
To know more about Expression follow
https://brainly.com/question/723406
#SPJ5
The ratio of stories to magazines is 4 to 3, if there are 28 stories, how many magazines are there?
How many magazines are there?
12 magazine.
Step by step explanation:
The ratio of stories to magazines is 4 to 3, if there are 28 stories, how many magazines are there?
Story: c
Magazine: r
C / R
C = 4K
R = 3k
4K + 3k = 28
7k = 28
K = 7/28
K = 4
Substituting:
C = 4X4 = 16
R = 3x4 = 12
Ratio of stories to magazines: 4:3
There are 28 stories, so that would mean we would have to divide 28 by 4 to get the common rate.
28/4 = 7
So, now we can substitute it to solve the amount of magazines.
4 x 7 = 28
3 x 7 = 21
Thus, there are 21 magazine and the non-simplified ration of stories to magazines is 28:21.
At Kathmandu temperature was – 5°C on Monday and then it dropped by 2∘C on Tuesday. What was the temperature of Kathmandu on Tuesday?
Answer:
Monday= -5°c
on Tuesday dropped 2 °c
question
what was temperature on Tuesday
answer
=-5 - 2= -7°c on tuesday
hope it helps you
#passionforlearning
Which inequality is represented by the graph below?
Answer:
y ≤ -1/5x +1
Step-by-step explanation:
The line had an incline of -1/5 and the intersect with the y-axis is 1, so the line is given by
y = -1/5x +1
The indicated area in graph is below the line, so now you have enough to get the right inequality:
y ≤ -1/5x +1
A rectangle mesures 3 cm by 6 cm Three of these rectangles are put together to make a larger rectangle. Work out the perimeter of this larger rectangle: It mesures three 3 cm tall rectangles that are both 6cm each and another one that is 6 cm tall.
Answer: 45 cm
Step-by-step explanation:
Assuming the rectangles r put together as per the attached picture.
length = 6+3 = 9 cm
Width = 3+3 = 6cm
Perimeter = 2(l+w)
P = 3(9+6)
P = 3 * 15
P = 45 cm
PLS HELP ME WITH THIS QUESTION IVE BEEN DYING TRYING TO FIGURE THIS OUT
Answer:
y = -x - 1
Step-by-step explanation:
hello,
this is a line, right?
So the equation should be something like
y = ax+b and we need to find a and b
we can see that the points (-1,0) and (0,-1) are in the line so we can write
0 = a*(-1) + b <=> b - a = 0 <=> a = b
-1 = a*0 + b <=> b = -1
so the equation is
y = -x - 1
hope this helps
Answer:
y = - x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 1) and (x₂, y₂ ) = (0, - 1)
m = [tex]\frac{-1-1}{0+2}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1
The line crosses the y- axis at (0, - 1 ) ⇒ c = - 1
y = - x - 1 ← equation of line
POSSIBLE EQUATIONS
GRAPHS
1.) Equation:
2.) Equation:
A. y=-x+6
B. y=x+4
c. y=** +2
3.) Equation:
4.) Equation:
D. y=-x +4
E. y=[x+41-2
F. y=x-1
5.) Equation:
6.) Equation:
G. y=(x-2) – 6
H. y=6+ V2
1. y=[x+5|
7.) Equation:
8.) Equation:
J. y=x" – 8
K. y=x*-7
L. y = |x-3) - 4
Answer:
c, d, g, k
Step-by-step explanation:
in that order
Identify an equation in standard form for an ellipse with its center at the origin, a vertex at (0, 11), and a co-vertex at (4, 0). HELP ASAP
Answer:
Step-by-step explanation:
If you plot those points on a coordinate plane, you'll see that the distance from the origin up the y-axis to the point is greater than is the distance from the origin down the x-axis to the other point. That means 3 things to us: 1. the greater distance is a and the shorter is b; 2. the point (0, 11) is the vertex while the point (4, 0) is the co-vertex; and 3. this is a vertically stretched ellipse. A vertically stretched ellipse has an equation
[tex]\frac{(x-h)^2}{b^2} +\frac{(y-k)^2}{a^2} =1[/tex] where h and k are the coordinates of the center, a is the greater distance (between the center and the vertex), and b is the smaller distance (between the center and the co-vertex). Here's what we have then thus far:
h = 0
k = 0
a = 11
b = 4
Filling in our equation then looks like this:
[tex]\frac{(x-0)^2}{4^2} +\frac{(y-0)^2}{11^2} =1[/tex] and simplifying:
[tex]\frac{x^2}{16} +\frac{y^2}{121} =1[/tex]. It appears that the last answer is the one you want, although when I teach this to my precalc students, I do not encourage them to move the x and y terms around as that answer appears to have done. But addition is also commutative so I'm sure it's acceptable (I just think it looks strange that way).
The equation of ellipse is [tex]\dfrac{y^2}{121}+\dfrac{x^2}{16}=1[/tex] option D is correct.
Important information:
The center of the ellipse is the origin.Vertex at (0,11).Co-vertex at (4,0)Ellipse:The standard form of an ellipse is:
[tex]\dfrac{x^2}{b^2}+\dfrac{y^2}{a^2}=1[/tex]
Where, [tex](0,a)[/tex] is vertex and [tex](0,b)[/tex] is vertex.
Substitute [tex]a=11,b=4[/tex] in the above equation.
[tex]\dfrac{x^2}{(4)^2}+\dfrac{y^2}{(11)^2}=1[/tex]
[tex]\dfrac{x^2}{16}+\dfrac{y^2}{121}=1[/tex]
[tex]\dfrac{y^2}{121}+\dfrac{x^2}{16}=1[/tex]
Therefore, the correct option is D.
Find out more about 'Ellipse' here:
https://brainly.com/question/1548816