Answer:
28h
Step-by-step explanation:
Work out ( 4 × 10 6 ) × ( 2 × 10 7 ) Give your answer in standard form.
Answer:
4 * 2 = 8
10^6 * 10^7 = 10^(6 + 7) = 10^13
Answer is 8 * 10^13
So I'm pretty sure I solved a similar question before, but we always write the equation first.
So, equation:
(4 × 10^6) × (2 × 10^7)
Again, we will use the order of operations.
() - Parenthesis
^x - Exponents
×/÷ - Multiplication/Division
+/- - Addition/Subtraction
Now, solve the parenthesis. We have two parentheses, so we will solve those separately.
(4 × 10^6)= 4 × 1,000,000 = 4,000,000
(2 × 10^7)= 2 × 10,000,000 = 20,000,000
Now, multiply these two together.
4,000,000 × 20,000,000 = 80000000000000
BUT, we can simplify this. So, the real answer is:
8 × 10^13
Reflect shape A in the line x=-1
Coordinates for the shape:
(-3,-2), (-5,-2), (-5,-3), (-4,-3), (-4,-4), (-3,-4)
Answer in in Image.
Reflection of shape:
Reflection is a type of transformation. To reflect an object, you need a mirror line. When a shape is reflected, its size does not change - the image just appears 'flipped'. Every point on the shape is the same distance away on the other side of the mirror line.
Here, After reflection, the reflected shape coordinates are:
(-3,-2), (-5,-2), (-5,-3), (-4,-3), (-4,-4), (-3,-4).
Learn more about reflection of diagrams here:
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and the answer has to be in cm squared.
Can anyone plz help ASAP
Answer:
20 cm^2Solution,
Area of given figure=(1*1)*5
=5 cm^2
Area after enlargement factor of 2
=5*2*2
=10*2
=20 cm^2
hope this helps .....Good luck on your assignment.....
Answer:
Area = 10 cm²
Step-by-step explanation:
Area of the Figure:
=> Area = 5 cm²
Area of the figure after scale factor of 2:
=> Area = 5×2
=> Area = 10 cm²
2x-6+17=9
Explain the answer and why plz
Answer: x = -1
Step-by-step explanation:
2x - 6 + 17 = 9
Subtract 17 from both sides
2x - 6 = -8
Add 6 to both sides
2x = -2
Divide by 2 on each side
x = -1
Please help me!!!!!!!!! thanks!
Answer:
4.19 units^3
Step-by-step explanation:
The volume formula for spheres is [tex]V = \frac{4}{3} r^3[/tex]
If you plug in the radius which is 1 in this problem you'll get the volume of the sphere.
Answer: 4.19 cu. units
Step-by-step explanation:
Volume of a sphere = 4/3πr^3
= 4/3 x 3.14 x 1^3
= 4/3 x 3.14 x 1
= 4.19 cu. units
Complete each proof. Remember to mark the diagram as you go. You may not need all the rows.
Answer:
did u ever get hte answers for this ?
Factor completely 9x2 + 42x + 49
Answer:
(3x + 7)²
Step-by-step explanation:
You can either factor it by GCF or guess and check. The question you should be asking when you try to factor is"What multiplies to 49 and adds up to 42 with coefficients 3 in front of the x?" When you answer this question, you should think of 7 and 7. You then put it in binomial form and you have your answer.
Answer: (3x + 7)^2
Step-by-step explanation:
9x^2 + 42x + 49
3^2x^2 + 2 * 3x * 7 + 7^2
3x^2 + 2 * 3x * 7 + 7^2
(3x + 7)^2
I WILL MARK YOU BRAINLIEST!!!!
You have ten blankets that each take up 686 cubic inches of space how many blankets could you pack into an 18 inch box
Answer:
you can fit 8 blankets in the 18 by 18 by 18 box
Step-by-step explanation:
Answer: 8 blankets.
Step-by-step explanation: The total volume of the moving box is (18)³ = 5,832 cubic inches. Since each blanket takes 686 cubic inches, the box will hold [tex]\frac{5,832}{686}[/tex] ≈ 8.5 or 8 blankets.
Simply 5^3/5^7 leaving your answer in index
Answer:
Given
Step-by-step explanation:
When the base is same but the exponents are different, the rule is that a^m/a^n
= a^m-n
So in this case let a be 5, m be 3 and n be 7
5^3/5^7
= 5^3-7
= 5^-4
Convert 28 ounces to pounds. Express your answer in simplest form. a. 2 1/4 pounds b. 1 12/16 pounds c. 1 4/7 pounds d. 1 3/4 pounds
Answer:
1.75 pounds
Step-by-step explanation:
28 divided by 16 = 1.75!
Hope it helps!
Answer:
1.75 pounds or 1 3/4 pounds
Step-by-step explanation:
28/16 = 1.75
Given that 5 x − 3 y = 32 Find y when x = 4
Answer:
y=-4Solution,
X=4
Now,
[tex]5x - 3y = 32 \\ or \: 5 \times x - 3y = 32 \\ or \: 5 \times 4 - 3y = 32 \\ or \: 20 - 3y = 32 \\ or \: - 3y = 32 - 20 \\ or \: - 3y = 12 \\ or \: y = - \frac{12}{ 3} \\ y = - 4[/tex]
Hope this helps...
Good luck on your assignment..
Answer:
y = 16/3 or 5.333333...
Step-by-step explanation:
5x - 3y = 4
→ Substitute the value of x = 4 into the expression
(5 × 4) - 3y = 4 ⇔ 20 - 3y = 4
20 - 3y = 4
→ Minus 20 from both sides to isolate -3y
-3y = -16
→ Divide both sides by 3 to isolate y
y = 16/3 or 5.333333...
a right angle triangle has the perimeter of 96cm. the length of its sides are in the ratio of 6:8:10. work out the area of the triangle
Answer:
384 centimeters squared.
Step-by-step explanation:
96/(6+8+10)
96/24 = 4
6×4 : 8×4 : 10×4
24:32:40
The length of its sides are in the ratio of 24:32:40
The longest side is the hypotenuse which is 40.
The area is base × height × 1/2 of a triangle.
32 × 24 × 1/2
768 × 1/2
=384
The area of the triangle is 384 cm squared.
Answer:
Area = 384 cm²
Step-by-step explanation:
Perimeter = 96 cm
Ratio = 6:8:10
So,
6x+8x+10x = 96
=> 24x = 96
Dividing both sides by 24
=> x = 4
So, The sides are
=> 24 cm
=> 32 cm
=> 40 cm
Now the area using Heron's Formula
Area = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]
Where s is the semi-perimeter = 48 cm, a , b and c are the sides
Area = [tex]\sqrt{48(48-24)(48-32)(48-40)}[/tex]
Area = [tex]\sqrt{48(24)(16)(8)}[/tex]
Area = [tex]\sqrt{147,456}[/tex]
Area = 384 cm²
Find the HCF of 150 and 180.
Answer:
30 is ans do you know hindi
Answer:
The HCF of 150 and 180 is 30
Hope this helps
PLEASE HELP me ! I NEED HELP
Answer:
Step-by-step explanation:
Let x = the number of 50-cent increases in the cost of a book rental.
Right now he is renting 38 books per day at $3 per rental. If he raises his price he will lose 4 rentals per increase. The money part of this is:
$3 + .5x = the price per book rental after the increase. That's how much money he will make. The money made is NOT the same thing as the number of rentals. Therefore, they are put into separate expressions.
The number of rentals is:
38 - 4x. This is the number of books he is currently renting minus the number of book rentals he will lose per price increase. Putting those 2 expressions together and multiplying them will give you the end result of this increase in price.
(3 + .5x)(38 - 4x) = 114 - 12x + 19x - 2x², or putting it in descending powers of x and combining like terms:
-2x² + 7x + 114
BC = -2x+85 BD = 5x-48 What is the length of BC?
Answer:
-2x + 85 = 5x - 48
85 = 7x - 48
7x = 133
x = 19
BC = -2(19) + 85
BC = -38 + 85
therefore, BC = 47
Step-by-step explanation:
Expand. If necessary, combine like terms. (5x-6)^2=
Answer:
25x²-60x+36
Step-by-step explanation:
(5x-6)²
Expand the brackets.
(5x-6)(5x-6)
5x(5x-6)-6(5x-6)
Multiply.
25x²-30x-30x+36
Add or subtract the like terms.
25x²-60x+36
Perfect squares trinomials are those expressions which are found by squaring binomial expressions. The expansion of the given binomial expression, (5x - 6)² is (25x² + 36 - 60x).
What are perfect squares trinomials?Perfect squares trinomials are those expressions which are found by squaring binomial expressions. A few examples of perfect squares trinomials are,
a² + b² + 2ab = (a + b)²
a² + b² - 2ab = (a - b)²
The expansion of the given binomial expression, (5x - 6)² can be done as,
(5x - 6)²
= (5x)² + 6² - 2(5x)(6)
= 25x² + 36 - 60x
Hence, The expansion of the given binomial expression, (5x - 6)² is (25x² + 36 - 60x).
Learn more about Perfect square trinomials:
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Drag each expression to show whether the product is less than 1, equal to 1, or greater than 1
Answer:
i
Step-by-step explanation:
Solve - 2/3 x > 8 or - 2/3 x < 4.
Answer:
Brainliest? I solved both!
Step-by-step explanation:
(07.06 MC) What is the solution to the equation 1.2m − 0.8 = −2.0m? m = 0.25 m = 0.4 m = 1 m = 4
Answer:
m = 0.25
Step-by-step explanation:
-0.8 = -3.2m
m = 0.25
Answer:
0.25 :)
Step-by-step explanation:
What is the coefficient of the variable in the expression 4 − 3x − 7 + 6? −7 −3 4 6
Answer:
-3
Step-by-step explanation:
Variables are letters which are used to represent particular unknown quantities in equations.
Now the variable in this question is x.
When we talk about coefficient , we mean the number before the variable in question.
We can see that the variable is written as -3x
-3 is the value before the variable so we can agree that -3 is its coefficient
Answer:
its -3, i took the test
Have a great day!!
Step-by-step explanation:
Can somebody help me with this ?? :)
Answer: D
Step-by-step explanation:
it shows each points and that they are equal
michael puts 3 beds next to each other on a piece of string to make a bracelet. each need has a width of 5/6 inches. which expression and fraction both represent the width of the three beads
Answer:
Total width = 5/2 or 2½
Step-by-step explanation:
Since we have 3 beads and each of them have a width of 5/6 inches, thus;
Total width = 3 × (5/6)
Total width = 15/6
Simplifying this since 3 is common multiple to both numerator and denominator, we have;
Total width = (15/3)/(6/3)
Total width = 5/2
Since this is an improper fraction, we need to turn it into a mixed fraction, thus;
Total width = 5/2 = 2½
Those total width is 5/2 or 2½
PLZ ANSWER ASAP 20 POINTSTriangle ABC has AB=18, AC=24, BC=27. Point M is the midpoint of AC, and point N is on segment AB so that BN=2. What is the length of MN? PLZ ANSWER ASAP PLZ 20 POINTS
Answer:
Step-by-step explanation:
Write 18-2 square root of -9 in the form of a+bi
Answer:
[tex]18+(-2)(\sqrt{-9})[/tex] or [tex]18-2\sqrt{9}[/tex]
Step-by-step explanation:
[35 Points!] Answer this for me! ill give you brainly! xo :)
Answer:
sqrt(2) sqrt(5) sqrt(2) sqrt(5)
Step-by-step explanation:
sqrt(2) sqrt(5) sqrt(2) sqrt(5)
We know sqrt(a) sqrt(b) = sqrt(ab)
sqrt(2*2) sqrt(5*5)
sqrt(4) sqrt(25)
2 * 5
10
This is a rational number
Answer:
[tex]\sqrt{2}[/tex] · [tex]\sqrt{5}[/tex] · [tex]\sqrt{2}[/tex] · [tex]\sqrt{5}[/tex]
Step-by-step explanation:
In mathematics, a rational number is a number that can be written as a fraction. Clear and sensible numbers are all real numbers and can be positive or negative. A number that is not clear and sensible is called weird (because of wrong thinking). Most of the numbers that people use in everyday life are clear and sensible. These include fractions and integers.
[tex]\sqrt{2}[/tex] · [tex]\sqrt{5}[/tex] · [tex]\sqrt{2}[/tex] · [tex]\sqrt{5}[/tex] is a rational number!
What is the solution to the system of equation? 2x+6y=-6 4x-3y=-12
Answer:
(-3, 0)
Step-by-step explanation:
We can solve this algebraically (substitution or elimination) or graphically.
Step 1: Multiply the first equation by -2
-4x - 12y = 12
4x - 3y = -12
Step 2: Add the 2 equations together and solve for y
-15y = 0
y = 0
Step 3: Plug y back into an original equation to get x
2x + 6(0) = -6
2x = -6
x = -3
And we have your answer!
Answer:
2x+6y=-6 ........1
4x-3y=-12 ........2
Simplify equation 1
2x + 6y = -6
Divide both sides by 2
You will get
x + 3y = -3
Make x the subject
x = - 3 - 3y
Substitute x into equation 2
4x - 3y = - 12
4(- 3 - 3y) - 3y = - 12
-12 + 12y - 3y = -12
9y = -12 + 12
9y = 0
Divide both sides by 9
y = 0
Substitute y = 0 into x = - 3 - 3y
You will get
x = - 3 - 3(0)
x = -3
Therefore x = - 3 and y = 0
Hope this helps
the top of two poles of height's 20m and 14m are connected by the wire
if the wire makes an angle 30 degree with the horizontal then length of the wire is
8m
10m
12m
Answer:
The correct option is;
10 m
Step-by-step explanation:
The parameters given are;
Height of the first pole = 20 m
Height of the second pole = 14 m
The angle the wire connected to their top makes with the horizontal = 30°
The vertical height subtended by the inclined wire, h = The difference in height between the two poles = 20 - 14 = 6 m.
Let the horizontal distance between the two poles = D
Therefore;
The horizontal length of the wire = D
From trigonometric ratios, we have;
[tex]tan(30 ^{\circ}) = \dfrac{h}{D} = \dfrac{6}{D}[/tex]
Which gives;
[tex]D = \dfrac{6}{tan(30 ^{\circ}) } = 10.39 \ m\approx 10 \ m[/tex]
The correct option is 10 m.
The mapping of DEFG to D'E'F'G' is shown. 2 parallelograms have identical side lengths and angle measures. The second parallelogram is a reflection of the first. Which statements are true regarding the transformation? Check all that apply. EF corresponds to E'F'. FG corresponds to G'D'. ∠EDG Is-congruent-to ∠E'D'G' ∠DEF Is-congruent-to ∠D'E'F' The transformation is not isometric. The transformation is a rigid transformation.
Answer:
(A)EF corresponds to E'F'
(C)∠EDG Is-congruent-to ∠E'D'G'
(D)∠DEF Is-congruent-to ∠D'E'F'
(F)The transformation is a rigid transformation.
Step-by-step explanation:
Given:
Parallelogram DEFG is mapped to D'E'F'G'DEFG and D'E'F'G' have identical side lengths and angle measures.The following applies:
EF corresponds to E'F'∠EDG Is-congruent-to ∠E'D'G'∠DEF Is-congruent-to ∠D'E'F'Now, a rigid transformation is a transformation of the plane that preserves length. Since the two parallelograms have identical side lengths:
The transformation is a rigid transformation.Note that a reflection is an isometric transformation. Therefore the statement "The transformation is not isometric" is INCORRECT.
FG and GD are adjacent sides, therefore they may not necessarily be congruent. Thus FG does not corresponds to G'D'
Answer:
1346
Step-by-step explanation:
There are 4 red marbles and 3 blue marbles in a bag. Once a marble is drawn it is not replaced. Find the probability of drawing two red marbles in a row.
Answer:
2/7
Step-by-step explanation:
4 red marbles and 3 blue marbles in a bag = 7 marbles
P(red) = red/total = 4/7
No replacement
3 red marbles and 3 blue marbles in a bag = 6 marbles
P(red) = red/total = 3/6 = 1/2
P(red, no replacement, red) = 4/7 * 1/2 = 2/7