Answer:
Step-by-step explanation:
1.8kg into grams
1.8kg = 1800 grams
Total toys = 6
Weight of one toy = 1800 ÷ 6 = 300 grams
Weight of 4 toys = 300 x 4 = 1200 grams = 1.2kg
Answer:
Step-by-step explanation:
a) 1 Kg = 1000 grams
1.8 Kg = 1.8 * 1000 = 1800.0 = 1800 grams
b) Weight of one toy = Weight of all the 6 toys ÷ 6
= 1800 ÷ 6
= 300 grams
c) Weight of 4 toys = 4 * 300
= 1200 grams
= 1200 ÷ 1000
= 1.2 Kg
What are the coefficients for the expression
[tex]4x4 + x3 - 2x2 - 6x + 2 [/tex]
6x - 2 + 2x = -2 + 4x + 8
Simplifying
6x + -2 + 2x = -2 + 4x + 8
Reorder the terms:
-2 + 6x + 2x = -2 + 4x + 8
Combine like terms: 6x + 2x = 8x
-2 + 8x = -2 + 4x + 8
Reorder the terms:
-2 + 8x = -2 + 8 + 4x
Combine like terms: -2 + 8 = 6
-2 + 8x = 6 + 4x
Solving
-2 + 8x = 6 + 4x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x' to each side of the equation.
-2 + 8x + -4x = 6 + 4x + -4x
Combine like terms: 8x + -4x = 4x
-2 + 4x = 6 + 4x + -4x
Combine like terms: 4x + -4x = 0
-2 + 4x = 6 + 0
-2 + 4x = 6
Add '2' to each side of the equation.
-2 + 2 + 4x = 6 + 2
Combine like terms: -2 + 2 = 0
0 + 4x = 6 + 2
4x = 6 + 2
Combine like terms: 6 + 2 = 8
4x = 8
Divide each side by '4'.
x = 2
Simplifying
x = 2
d
Evaluate
arcsin
(6)]
at x = 4.
dx
Answer:
[tex]\frac{1}{2\sqrt{5} }[/tex]
Step-by-step explanation:
Let, [tex]\text{sin}^{-1}(\frac{x}{6})[/tex] = y
sin(y) = [tex]\frac{x}{6}[/tex]
[tex]\frac{d}{dx}\text{sin(y)}=\frac{d}{dx}(\frac{x}{6})[/tex]
[tex]\frac{d}{dx}\text{sin(y)}=\frac{1}{6}[/tex]
[tex]\frac{d}{dx}\text{sin(y)}=\text{cos}(y)\frac{dy}{dx}[/tex] ---------(1)
[tex]\frac{1}{6}=\text{cos}(y)\frac{dy}{dx}[/tex]
[tex]\frac{dy}{dx}=\frac{1}{6\text{cos(y)}}[/tex]
cos(y) = [tex]\sqrt{1-\text{sin}^{2}(y) }[/tex]
= [tex]\sqrt{1-(\frac{x}{6})^2}[/tex]
= [tex]\sqrt{1-(\frac{x^2}{36})}[/tex]
Therefore, from equation (1),
[tex]\frac{dy}{dx}=\frac{1}{6\sqrt{1-\frac{x^2}{36}}}[/tex]
Or [tex]\frac{d}{dx}[\text{sin}^{-1}(\frac{x}{6})]=\frac{1}{6\sqrt{1-\frac{x^2}{36}}}[/tex]
At x = 4,
[tex]\frac{d}{dx}[\text{sin}^{-1}(\frac{4}{6})]=\frac{1}{6\sqrt{1-\frac{4^2}{36}}}[/tex]
[tex]\frac{d}{dx}[\text{sin}^{-1}(\frac{2}{3})]=\frac{1}{6\sqrt{1-\frac{16}{36}}}[/tex]
[tex]=\frac{1}{6\sqrt{\frac{36-16}{36}}}[/tex]
[tex]=\frac{1}{6\sqrt{\frac{20}{36} }}[/tex]
[tex]=\frac{1}{\sqrt{20}}[/tex]
[tex]=\frac{1}{2\sqrt{5}}[/tex]
NEED HELP ASAP
Function f is represented by f(x) = 5(x + 11)
A. Find f(-2)
Answer:
f(-2)=45
Step-by-step explanation:
f(x)=5(x+11)
x= -2
so basicly its just 5(-2+11)
which is -10+55 and that is 45
so f(-2)=45
Considering the given function, it is found that the numeric value at x = -2 is of f(-2) = 45.
What is the definition of the function?The function is defined by:
f(x) = 5(x + 11).
Hence, when x = -2, we have that:
f(-2) = 5(-2 + 11) = 5 x 9 = 45.
More can be learned about functions at https://brainly.com/question/25537936
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A 7-by-7 foot rug is shown. A coin is tossed onto the rug randomly. Which of these describes the probability that the coin will land on an area that is white? *
Answer :
The probability that the coin will land on an area that is white is [tex]\dfrac{1}{2}[/tex]
Explanation :
Given that,
A 7-by-7 foot rug is shown in figure.
Suppose, all parts are equal.
The area of rug is
[tex]A_{r}=7\times7[/tex]
Area of one part of rug is
[tex]A'_{1}=3.5\times3.5[/tex]
We need to calculate the probability that the coin will land on an area that is white
Using formula of probability
[tex]P=\dfrac{Area\of\ white\ part}{Area\of\ total\ rug}[/tex]
Put the value into the formula
[tex]P=\dfrac{(3.5\times3.5)+(3.5\times3.5)}{7\times7}[/tex]
[tex]P=\dfrac{2\times3.5\times3.5}{7\times7}[/tex]
[tex]P=\dfrac{1}{2}[/tex]
Hence, The probability that the coin will land on an area that is white is [tex]\dfrac{1}{2}[/tex].
Please help it’s due tomorrow!
What percent of 68 is 34?
Let the unknown number be x.
Answer:
50
Step-by-step explanation:
Lmk if this was the right way to do it or not lol
Please help
Answer fast
Answer:
k = 2
Step-by-step explanation:
Based on the right triangle altitude theorem, thus:
4 = √(k*8)
Square both sides
4² = k*8
16 = 8k
Divide both sides by 8
16/8 = 8k/8
2 = k
k = 2
CE is a perpendicular bisector. CE bisects the segment AB. If AB = 72 and FB = 5x+1. find X
Answer:
C.
Step-by-step explanation:
took the test
HELP!!
What is the surface area of this shape?
CAN SOMEONE PLS HELP WITHT HSI ASAP
Answer:
[tex]x = \frac{ \sqrt{6} }{2} [/tex]
[tex]y = \frac{3 \sqrt{2} }{2} [/tex]
Step-by-step explanation:
[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]
[tex] \cos(theta) = \frac{adjacent}{hypotenuse} [/tex]
[tex] \tan(theta) = \frac{opposite}{adjacent} [/tex]
theta = 30°
hypotenuse = √6
opposite = x
adjacent = y
1) find x using the sin formula[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]
[tex] \sin(30) = \frac{x}{ \sqrt{6} } [/tex]
[tex] \sin(30) \times \sqrt{6} = x[/tex]
[tex] \frac{ \sqrt{6} }{2} = x[/tex]
[tex]x = \frac{ \sqrt{6} }{2} [/tex]
2) find y using the cos formula[tex] \cos(theta) = \frac{adjacent}{hypotenuse} [/tex]
[tex] \cos(30) = \frac{y}{ \sqrt{6} } [/tex]
[tex] \cos(30) \times \sqrt{6} = y[/tex]
[tex] \frac{3 \sqrt{2} }{2} = y[/tex]
[tex]y = \frac{3 \sqrt{2} }{2} [/tex]
Hello! Can you help you can get more points! Click on the photo for more view etc.
Answer:
22,950
Step-by-step explanation:
subtract 51,550 and 28,600. 0 - 0 = 0 then 5-0=5 5-6 you can not do so you barrow from the 1. 1 becomes 0 and 5 becomes 15. 15-6=9. 0-8 you can not do so you need to borrow from the 5. 5 becomes 4 and 0 becomes 10. 10-8=2. Finally, 4-2=2. Put is all together and you have 22,950.
someone please help me lol
Answer:
Undefined
Step-by-step explanation:
We see that the domain of f is (-5,5], where ( means not included, ] means included.
Therefore, since -5 is not in the domain, the value is undefined.
What are the x - and y -intercepts of the equation 3x+4y=24?
Given:
The equation is
[tex]3x+4y=24[/tex]
To find:
The x- and y-intercepts of the given equation.
Solution:
We have,
[tex]3x+4y=24[/tex]
Putting x=0, we get
[tex]3(0)+4y=24[/tex]
[tex]0+4y=24[/tex]
[tex]y=\dfrac{24}{4}[/tex]
[tex]y=6[/tex]
Therefore, the y-intercept of the given equation is 6.
Putting y=0, we get
[tex]3x+4(0)=24[/tex]
[tex]3x+0=24[/tex]
[tex]x=\dfrac{24}{3}[/tex]
[tex]x=8[/tex]
Therefore, the x-intercept of the given equation is 8.
Trent kept track of his leaf-raking business as shown. What was his profit?
Answer:
506 $
Step-by-step explanation:
Answer:
Step-by-step explanation:
there is nothing shown, I’m sorry we can’t answer without numbers
John is 14 years older than Sam and the product of their ages is 275. How old is Sam?
A. 11
B. 5
C. 3
D. 8
Answer:
A
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
The answer is A because 11+14=25 and you multiply 25 by 11 to see it equals 275.
There is a sales tax of S6 on an item that costs $80 before tax. The sales tax on a second item is $11.25. How much does the second item cost before ta
Answer:
$150
Step-by-step explanation: 11.25 divided by tax rate of 7.5 % equals 150
A) an = 4 − 3
B) an = 4 + 1
C) an = 4 + 3
D) an = 4 − 1
What is the total cost of a $75.00 item with a sales tax of 4%?
Answer:
Step-by-step explanation:
75+[(75*4)/100]=75+3=78
Expand (−7n)4
A. −n(4⋅4⋅4⋅4⋅4⋅4⋅4)
B. (−7n)⋅(−7n)⋅(−7n)⋅(−7n)
C. −7(n⋅n⋅n⋅n)
D. −7n⋅4
You need 4 cups of orange juice and 3 cups of cranberry juice to make 7 total cups of fruit punch. How many cups of each juice do you need to make 28 cups of fruit punch?
Step-by-step explanation:
4 cups of orange juice + 3 cups of cranberry juice = 7 cups of fruit punch
28 = 4 * 7 so all you would need to do is multiply the number of cups by 4
4( 4 cups of orange juice + 3 cups of cranberry juice = 7 cups of fruit punch)
16 cups of orange juice + 12 cups of cranberry juice = 28 cups of fruit punch
I hope this helps!!!!
I really tried my best to explain so please let me know if this did or did not make sense
Have a nice day!!!
What is the value of the expression 4 × (2a − 1) if a = 3?
Answer:
20
Step-by-step explanation:
4 * (2a − 1)
Let a=3
4 * (2*3 − 1)
Simplify inside the parentheses first
4 * (6 − 1)
4 * (5)
20
The temperature is 2°C. The wind chill makes it feel 7°C colder.
and
Abe’s score was 15 in a card game. Then he lost 12 points two hands in a row. FAST PLS
In the expression below, what is the coefficient?
3y-4
Answer: 3y is the coefficient.
Step-by-step explanation: A coefficient is numerical or constant quantity placed before and multiplying the variable in an algebraic expression. Or, to put it simpler, a coefficient is a number with an variable next to it.
15. Given Square ABCD, if AB = 2x + 4 and
CD = 3x - 5, find BC.
Equation: _____
X = _____
BC = _____
Answer:
equation : 2x + 4 = 3x - 5
X = 9
BC = 22
The equation will be - (2x + 4 = 3x - 5), x = 9 and BC = 22.
What is a square? What is a mathematical equation? What do you mean by domain and range of a function?In Euclidean geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles. It can also be defined as a rectangle with two equal-length adjacent sides.
Area: (side)²Perimeter: 4 x sideNumber of vertices: 4Number of edges: 4Internal angle: 90°Properties: Convex polygon, Equilateral polygon, Isogonal figure, Isotoxal figure, CyclicType: Quadrilateral, Regular polygonA mathematical expression is made up of terms (constants and variables) separated by mathematical operators.
A mathematical equation is used to equate two expressions.
Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is square ABCD and AB = 2x + 4 and CD = 3x - 5
Now -
AB = CD
Equation will be -
2x + 4 = 3x - 5
4 + 5 = 3x - 2x
x = 9
and
AB = BC = CD = AD = 2x + 4 = 2 x 9 + 4 = 22
BC = 22
Therefore, the equation will be - (2x + 4 = 3x - 5), x = 9 and BC = 22.
To solve more questions on square, visit the link below -
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Solve by using elimination. Express your answer as an ordered pair.
answer choice
(3, 5)
(11, 36/7)
(5, 3)
(8, 6)
Answer: (5,3)
Step-by-step explanation:
please help, my teacher won't respond to email and everyone else is busy
Answer:
16.
x<5
hope this helps!!:)
Step-by-step explanation:
7 x 7 ( __ x 7 ) + ( 2 x 7 )
= __ + 14
=
Answer:
Step-by-step explanation:
1) 5
2) 63
????
a worker has installed 65% of the tiles for a tile floor. If they installed 195 tiles so far, how many tiles are there total
Answer:
300 tiles.
Step-by-step explanation:
First, you divide 195 by 65 to get what 1% is. 195/65 = 3. 1% is 3. Then you multiply 3x100 because there is 100%. So that is 300 and that's why there are 300 tiles in total. Hope this helped! :)
Order these from biggest to smallest output.
What is the perimeter of the square below?
64m^2
plzit explain question the get really don't I