Answer:
[tex]x = 3[/tex]
[tex]x)=x^3-3x^2-4x+12 \\ 0 = 3x ^2 - 3x ^2 + 4x - 12 \\ 0 = 4x - 12 \\ - 4x = - 12 \\ - x = - 12 \div 4 \\ x = 3[/tex]
Lesson Check (4.NBT.B.6
1. To divide 572 = 4, Stanley estimated to place
the first digit of the whole-number quotient.
In which place is the first digit of the whole-
number quotient?
The first digit of the whole- number quotient will be in the hundred place.
To determine which place will the first digit of the whole- number quotient be placed after taking the quotient of 572 and 4, we will follow the steps below;
Round up 572 to 1 significant figure. The value expressed as one significant figure is 600.Since the divisor is a unit value, we will not be rounding it up.Take the quotient of 600 and 4.[tex]\frac{600}{4}=\frac{150\times 4}{4 \times 1} =150[/tex]
From the result, we can see that the first digit of the whole- number quotient is to the nearest hundred (100)
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solve pls brainliest
Answer:
16 sq mm
Step-by-step explanation:
hope this helps
Help me please!!!!!!!!!
Answer:
X=5
Step By Step:
Help me on this I can’t fail
Answer:
c = green line
Solve for x
#6:
X=_
#7
X= _
Step-by-step explanation:
for the first one let's write our equation
(13x+2)+(3x-4)+(5x-7)=180
Combine like terms
21x-9=180
Add 9 to both sides
21x=189
Divide both sides by 21
x=9
Now for the second one
Let's write our equation
(19x-18)+(7x+1)+(10x-9)=180
Combine like terms
36x-26=180
Add 26 to both sides
36x = 206
Divide both sides by 36
x = 5.72222...
Write an algebraic expression to represent the verbal statement: The product of the difference of m and 7 and 6.
Answer:
x=(m)(7)(6) or x=m*7*6
Step-by-step explanation:
Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options.
x2 + (y – 3)2 = 36
x2 + (y – 5)2 = 6
(x – 4)² + y² = 36
(x + 6)² + y² = 144
x2 + (y + 8)2 = 36
Answer:
x2 + (y – 3)2 = 36
x2 + (y + 8)2 = 36
Step-by-step explanation:
The equation that represents circles that have a diameter of 12 units and a center that lies on the y-axis is,
⇒ x² + (y - 3)² = 36
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Since, The standard form for finding the equation of a circle is expressed as;
⇒ (x - a)² + (y - b)² = r²
where;
(a, b) is the center of the circle
And, r is the radius of the circle
Given that;
Diameter = 12 units
And, Radius = 12/2 = 6 units
If the center lies on the y-axis, the center will be at (0, 3)
Substituting into the formula, we will have;
⇒ (x - 0)² + (y - 3)² = 6²
⇒ x² + (y - 3)² = 36
Thus, The equation that represents circles that have a diameter of 12 units and a center that lies on the y-axis is,
⇒ x² + (y - 3)² = 36
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Find the value of x and thank for answer
3. Kyle and Michael a rup a lap around a track. Kyle gets a 50 a meter head start and runs 3 meters
per
second. Michael runs at a speed of 4 meters per second. How long will it take for Michael
to reach Kyle?
Answer:
50 second
Step-by-step explanation:
let the distance between Michael and kyle (s)
s= 50 m
we want to know how long it takes for Michael(speed 4 m/s ) to reach kyle(3m/s)
v = s/t
t = s/v
Vm = speed of Micheal
Vk = speed of kyle
v = ( Vm - Vk )
t = 50/(4-3) = 50 second
The area of the regular pentagon is 6. 9 cm2. A regular pentagon has an apothem with length 1. 38 centimeters and an area of 6. 9 centimeters squared. What is the perimeter? 2 cm 5 cm 10 cm 20 cm.
The perimeter of the regular pentagon is 10 centimeters.
Given that the area of the regular pentagon is 6.9 cm2, and a regular pentagon has an apothem with length 1.38 centimeters and an area of 6.9 centimeters squared, to determine what is the perimeter the following calculation must be performed:
(Perimeter x apothem) / 2 = Area 1.38X / 2 = 6.9 1.38X = 13.80 X = 13.80 / 1.38 X = 10
Therefore, the perimeter of the regular pentagon is 10 centimeters.
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please answer this I’ll mark brainliest and follow
this is the correct answer
A can of crushed tomatoes holds 40 fluid ounces. How can a label designer name the same volume using metric units? Complete the explanation.
The designer can use the ratio 1 fluid ounce ≈ 29.6 milliliters and then multiply:
40 × blank
=
. The designer might decide to convert mL to L and round to the nearest tenth of a liter:
mL ≈
L
The metric unit of a quantity is simply the unit of measurement of the quantity
The volumes of the crashed tomato cans are 1184 milliliters and 1.184 liters
The volume of the crushed tomato can is given as:
[tex]\mathbf{Volume = 40oz}[/tex]
From the question, we have the following conversion ratio
[tex]\mathbf{1oz \approx 29.6mL}[/tex]
So, the volume in milliliters becomes
[tex]\mathbf{Volume = 40 \times 29.6mL}[/tex]
Multiply
[tex]\mathbf{Volume = 1184mL}[/tex]
To convert the unit to liters, we simply divide the volume by 1000.
So, we have:
[tex]\mathbf{Volume = 1184L \div 1000}[/tex]
[tex]\mathbf{Volume = 1.184L}[/tex]
Hence, the equivalent volumes are 1184 milliliters and 1.184 liters
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What is the mean absolute deviation of the data set? {12, 4, 30, 16, 18} 2. 8 5 2006. 4 16.
Answer:
12 3 30 16 18 2 8 6 2006 4 16 12 4 12 13
Please anyone I’m desperate
Answer:
the answer is B) 12a+6b
Step-by-step explanation:
3+9=12 so 3a+9a=12a,
7-1=6 so 7b-(1)b=6b
Step-by-step explanation:
calm down ! just breathe.
these are totally simple additions and one also very simple subtraction to make.
you know that you can combine terms based on the same variable, right ?
3a + 9a = 12a
7b - b = 6b
the result is then
12a + 6b, so B is the right answer.
this bases already on the same principle of actual numbers.
2×3 + 5×3 = 7×3 because this is also
(2 + 5) × 3
or
6×5 + 6×3 = 6×8 because this is also
6 × (5 + 3)
or
7×8 - 4×8 = 3×8 because this is also
(7 - 4) × 8
and so on.
How to find the null and alternative hypothesis.
The actual check begins by considering 2 hypotheses. they're referred to as the null hypothesis and therefore the various hypothesis.
Why rectangular coordinates are better than polar.
Answer:
Rectangular coordinates, or cartesian coordinates, come in the form (x,y).. Polar coordinates, on the other hand, come in the form (r,θ). Instead of moving out from the origin using horizontal and vertical lines, we instead pick the angle θ, which is the direction, and then move out from the origin a certain distance r.
Evaluate.
3.23
+52
- 18 ÷6 A.25 B.31 C.40 D.46
Answer:
d
Step-by-step explanation:
− 11/12 + p = 1/6
what does p =
Answer:
13/12
Step-by-step explanation:
p=1/6+11/12=(2+11)/12=13/12
 Find the perimeter. Simplify the answer
Answer:
20v + 6
Step-by-step explanation:
Perimeter = v + 10 + v + 10 + 9v - 7 + 9v - 7
Perimeter = 2v + 18v + 20 - 14
Perimeter = 20v + 6
-Chetan K
Answer:
Perimeter = 9v - 7 + 9v - 7 + v + 10 + v + 10
= 20v + 6...ans
Step-by-step explanation:
Hope i lt Helps you!!Put 62%, 0.71, 0.8, 5/8 in ascending order
Answer:
0.62 < 5/8 < 0.71 < 0.8
That’s it in ascending order
0.8 > 0.71 > 5/8 > 0.62
That’s it in descending order
Step-by-step explanation:
Answer:
62%, 5/8, 0.71, 0.8
Step-by-step explanation:
62% in form of a decimal is 0.62 and 5/8 is 0.625 when u round off its 0.63 which is 0.01 more than 62%. then 0.71 is 0.1 less than 0.8
Five less than five times a number is less than six times the same number plus
2.
Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day.
We can solve this problem in one single step, I'll start off with that.
We can first figure out what it says and make an algebraic equation. We can see what language the question uses and elaborate on that to create our equation.
[tex]5x-5<6x+2[/tex]
We can use algebra to simplify the equation so that we can solve for it.
[tex]-5<x+2\\-7<x\\x>-7[/tex]
We can check if this is correct by testing a few numbers from that range, I'll take -5 and 2.
[tex]5(2)-5<6(2)+2?\\10-5<12+2?\\5<14[/tex]
We've proven that 2 is working.
[tex]5(-5)-5<5(-5)+2?\\-25-5<-25+2?\\-30<-23[/tex]
We've also proven that -5 works.
We can now say that we've solved the problem, the solution of the problem would be x>-7.
Cheers!
simplify √ 18 + √ 20 - √ 45
Answer:
3√2 - 4√5 -
ig this is the answer
Answer:
3[tex]\sqrt{2}[/tex] - [tex]\sqrt{5}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Simplifying the radicals
[tex]\sqrt{18}[/tex]
= [tex]\sqrt{9(2)}[/tex]
= [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex]
= 3[tex]\sqrt{2}[/tex]
---------------------------
[tex]\sqrt{20}[/tex]
= [tex]\sqrt{4(5)}[/tex]
= [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex]
= 2[tex]\sqrt{5}[/tex]
------------------------
[tex]\sqrt{45}[/tex]
= [tex]\sqrt{9(5)}[/tex]
= [tex]\sqrt{9}[/tex] × [tex]\sqrt{5}[/tex]
= 3[tex]\sqrt{5}[/tex]
Then
[tex]\sqrt{18}[/tex] + [tex]\sqrt{20}[/tex] - [tex]\sqrt{45}[/tex]
= 3[tex]\sqrt{2}[/tex] + 2[tex]\sqrt{5}[/tex] - 3[tex]\sqrt{5}[/tex] ← collect like terms
= 3[tex]\sqrt{2}[/tex] - [tex]\sqrt{5}[/tex]
What are the slope and the y-intercept of the linear function that is represented by the graph?
Answer:
Slope = -3/4
Y-intercept = (0, 3)
Step-by-step explanation:
Rise/Run
-3 Rise and 4 Run
Meets y-axis at y=3. x=0, so (0, 3).
Answer:
y intercept is 3 and the slope is -3/4
Step-by-step explanation:
the line hits the y axis at point 3, and the slope is the rise over run so it is down three and right 4 so -3/4
which process do you preferred in identifying if the binomial is a factor of the polynomial?
Step-by-step explanation:
Remainder Theorem states that if polynomial f(x) is divided by a linear binomial of the for (x - a) then the remainder will be f(a). Factor Theorem states that if f(a) = 0 in this case, then the binomial (x a) is a factor of polynomial f(x).
What is a common denominator for 2/3 and 1/2?
Answer:
6 or 7/6
Step-by-step explanation:
they are both prime so 2*3=6
4/6+3/6=7/6
Answer:
21/31/6/2/34861/27651/7266163)
Sketch the graph of each line by identifying the x-and y-intercepts.
Answer:
Slope: -5/3 , Y-intercept: (0,5)
Step-by-step explanation:
Vote brainliest!
multiply pi with 10,000
:>
Answer:
3.14 x 10,000 equals 31,400
Step-by-step explanation:
Answer:
31415.9
Step-by-step explanation:
yeah-ya............. right?
The sides of a triangle are in the ratio 3, 4, 5. State whether the triangle is right angled or not.
Answer:
If the sides of a triangle are in the ratio 3:4:5, prove that it is a right-angled triangle.
Step-by-step explanation:
In order to prove that the triangle is a right-angled triangle or not, take the ratio as the length of the sides then consider the triangle to be a right-angled triangle, then prove the Pythagoras theorem. If the sides satisfy the Pythagoras theorem, then it’s a right-angled triangle otherwise, it’s not a right-angled triangle.
We are given the sides of a triangle whose ratio is 3:4:5.
Considering the sides to be 3x,4x,5x.
Since, we know that the length of hypotenuse is always greater than the other two sides, so we are taking the hypotenuse to be 5x and other remaining sides to be 3x and 4x.
We are only considering that the given triangle is a right-angled triangle. For that we need to prove that the sides follow Pythagoras theorem.
So, for Pythagora's theorem, we know that the sum of the square of the base side and square of the height side is equal to the square of the hypotenuse.
Squaring the base side 4x, we get:
(4x)2=16x2 …….(1)
Similarly, squaring the height side 3x, we get:
(3x)2=9x2 …….(2)
Squaring the hypotenuse side 5x, and we get:
(5x)2=25x2 …….(3)
Taking the sum of (1) and (2):
16x2+9x2=25x2, which is equal to the equation (3).
That means the sum of the square of base and the square of height is equal to the square of hypotenuse, that satisfies the Pythagoras theorem, that implies the triangle ABC is actually a right-angled triangle, which is right-angled at B. And this proves our consideration to be true.
Answer:
it is a right triangle
Step-by-step explanation:
If the triangle is a right triangle, it will meet the Pythagorean theorem
a^2 + b^2 = c^2
3^2+4^2 = 5^2
9+16=25
25=25
This is true so it is a right triangle
What is the length of side x?
Answer:
21
Step-by-step explanation:
10.5 ÷ 3 = 3.5
3.5 × 6 = 21
Please answer! I’ll give you Brainliest
A)
The four small squares are all 3x3, so the perimeter is 3+3+3+3 = 12.
12 * 4 = 48
We can find the perimeter of the large diamond shape using the Pythagorean theorem, a^2 + b^2 = c^2
a = 4
b = 4
4^2 + 4^2 = c^2
16 + 16 = c^2
32 = c^2
c = 5.65685425
So the perimeter of the large diamond shape is
5.65685425+5.65685425+5.65685425+5.65685425 = 22.627417
48+22.6 = 70.6
B)
The areas of the small squares are 3x3 = 9
9 * 4 = 36
The area of the large diamond shape is
5.65685425 * 5.65685425 = 32
36 + 32 = 68