Solution:
Given that,
[tex]\text{ product of } 42.12 \text{ and } 10^3[/tex]
Which means,
[tex]42.12 \times 10^3[/tex]
Here, the exponent of 10 is positive ( which is 3)
When the exponent is positive, we have to move the decimal point to right
When you multiply a number by a power of 10, ( 10!, 10^2, and so on ) move the decimal point of the number to the right the same number of places as the number of zeros in the power of 10
Here, exponent is 3 , therefore move the decimal point right 3 places in 42.12
Therefore,
[tex]42.12 \times 10^3 = 42120[/tex]
Is 2/6 equivalent to 20%
Answer:
2/6 is NOT equivalent to 20%
Step-by-step explanation:
2/6 is NOT equivalent to 20%
Reason :
To convert 2/6 to percentage
Multiply 2/6 by 100
That is ,
= 2/6 × 100 %
= 1/3 × 100 %
= 100/3 %
= 33.33%
33.33% is not same as 20%. Therefore 2/6 is not equivalent to 20%
I hope this was helpful, please mark as brainliest
How do you know that the value of D will decrease when the value of N increases?
Hello! Remember you have to write complete questions in order to find good and exact answers. Here I'll assume that you need a relationship between D and N. So we know some facts:
As N increases, then D decreasesSo this is an inverse relationship. We can write this as:
[tex]D\propto \frac{1}{N} \\ \\ \\ \boxed{D=k\frac{1}{N}} \\ \\ \\ \text{Where k is a positive constant}[/tex]
Since N lies in the denominator, as it increases then D will decrease. So this is a correct relationship
Select the most SPECIFIC name for this shape
O Rectangle
O
Square
O
Quadrilateral
O kite
Answer: Kite
Step-by-step explanation:
A grocery chain conducts a random survey of sales in stores to determine the types of juice to restock. The results are shown on the table. Which juice is MOST LIKELY to sell BEST when restocked? AN) Organic Apple Juice B) Organic Grape Juice C) Organic Pineapple Juice D) Grape Juice (from concentrate)
Answer:pineapple juice
Step-by-step explanation:
What is the sum of the first five positive integers?
Answer:
15
Step-by-step explanation:
1+2+3+4+5 = 15
1/(Sec x Tanx ) = Sec x + tan x
Answer:
Step-by-step explanation:
to prove that 1/ (sec x - tan x) = sec x + tan x
from the right hand side sec x + tan x =
from trigonometry basics
sec x = 1/ cos x
tan x = sin x/ cos x
so, sec x + tan x = 1/ cosx + sinx/ cosx
finding the lcm
= (1+ sinx)/cos x
= (1 + sinx) cosx/ cos²x
= (1 + sinx) cosx/( 1- sinx) ( 1 + sinx)
( 1 + sinx) cancels the (1- sinx) at the denominator
so we have;
= cos x/ 1 -sinx
1/1/cosx - sinx/cosx
remember that 1/ cos x = sec x
and also sinx/cos x = tan x
so therefore we have 1/ sec x - tanx
since LHS = RHS then we can say that 1 / sec x - tan x = sec x + tan x.
How to do this problem -40=12x+8
First subtract 8 from 8 and -40 because it is even.
Then divide -48 by 12, which equals -4.
Hope this helped! If it didn't, tell me what went wrong or confused you.
Answer:
The answer is x=-4
Step-by-step explanation:
-40=12x+8
-8 -8
-48=12x
-48/12=x
-4=x
In two to three sentences, explain how you would factor the following expression:
45y^2z+36yz^2+18yz
Answer:
9yz(5y+4z+2)
Step-by-step explanation:
I would first factor the whole polynomial by 9 since that's the LCM of the coefficients, giving us 9(5y^2z+4yz^2+2yz)
Then I would factor out yz as that's the LCM of the terms, giving us:
9yz(5y+4z+2)
And that's our answer.
The sum of two numbers is -17. Their difference is 41. Find the numbers.
Answer:
the two numbers are 12 and -29
Step-by-step explanation:
let the two numbers be x and y
let the sum of the two numbers b
x+y = -17 ..................................................... equation 1
let the difference between the two numbers be
x-y = 41 ........................................................................ equation 2
from equation 1
x+y = -17 ..................................................... equation 1
x = -17 - y ............................................................... equation 3
substitute for x in equation 2
x-y = 41 ........................................................................ equation 2
-17-y -y = 41
-17 -2y = 41
-2y = 41 + 17
-2y = 58
divide both sides by -2
-2y/-2 = 58/-2
y = -29
put the value of y = -29 in equation 3
x = -17 - y ............................................................... equation 3
x = -17-(-29)
x =-17 + 29
x = 12
therefore the two numbers are 12 and -29
3x + y = -3
How do I solve this equation by graphing?
Answer:
Step-by-step explanation:
That means y= -3x -3 in the y=mx+b form. It means that you will draw a dot at the point (0,-3). Then, M= #of points that you will go up or down (positive=up, negative= down). So, M= -3, negative, so go 3 points down to (0,-6) and go one point to the right. It will give you a point at (0,-3) and at (1,-6). Now, just draw the line and it s=is all done :)
PLZ HELP ASAP Your favorite snack l, peanut butter pretzels, is available in a 15-oumch size for $4.05. The 32-ounce size sells for $8.32. Which size is the better buy
Answer:
The better one is 32- ounce hope this helps and please make me the brainliest
Step-by-step explanation:
What is 18 divided by 82.8
Answer:
0.2173913043
Step-by-step explanation:
the answer is 0.21739
9. If the temperature changes by 100 K, by how much does it change in °C?
2730C
37°C
100°C
by
0°C
Answer:
100 degrees C.
Step-by-step explanation:
100 degrees C
The 'size' of the unit is the same.
0 degrees K to 100 degrees K is equivalent to:
-273 degrees C to - 173 degrees C.
The perimeter of a rectangle is 18x – 24 and the width is
2x – 9. What is the length?
A: -7x + 3
B: 16x + 15
C: 7x - 3
D: 7x + 3
Answer:
C
Step-by-step explanation:
18x - 24 = 2 [length + 2x - 9]
9x - 12 = length + 2x - 9
Length = 7x - 3
Answer:
C: 7x - 3
Step-by-step explanation:
The perimeter of a rectangle is given by
P = 2(l+w) where l is the length and w is the width
We know the perimeter is 18x -24 and the width is 2x-9. Substituting these values into the equation
18x-24 = 2( l+2x-9)
Divide each side by 2
(18x-24)/2 = 2/2( l+2x-9)
9x-12 = l+2x-9
Add 9 to each side
9x-12 +9 = l+2x-9+9
9x -3 = l+2x
Subtract 2x from each side
9x-2x-3 = l+2x-2x
7x -3 = l
The length is 7x-3
A circle with radius 9 has a sector with a central angle of 120°
What is the area of the sector?
Either enter an exact answer in terms of it or use 3.14 for it and enter your answer as a decimal
Step-by-step explanation:
[tex]radius = 9[/tex]
[tex]central \: angle = 120 \times \frac{3.14or\pi }{180} radian[/tex]
[tex]central \: angle = 2.09334 \: approximately = 2.1[/tex]
[tex]area \: of \: sector = \frac{1}{2} \times {r}^{2} \times central \: angle[/tex]
[tex]putting \: the \: values[/tex]
[tex]area \: of \: sector = \frac{1}{2} \times {9}^{2} \times 2.1[/tex][tex] = \frac{1}{2} \times 9 {}^{2} \times 2.1[/tex]
[tex]area \: of \: sector \: = 85.05 {m}^{2} [/tex]
Answer:
27π square units
Step-by-step explanation:
Note that a central angle of 120° is exactly 1/3 of a full circle.
So to find the area of this sector, find the area of the whole circle and divide your result by 3:
A = (1/3)π(9)^2 = 27π square units
Solve for x (round to the nearest tenth)
Step-by-step explanation:
By Geometric mean property:
[tex]x = \sqrt{5 \times 3} \\ = \sqrt{15} \\ = 3.87298335 \\ \huge\orange {\fbox{\therefore \: x \approx \: 3.9}} [/tex]
3. Convert 5.2 gallons to
cups
set up a ratio problem
5.2 gal = 1 gal/16 cups
5.2 * 16 = 83.2 cups is 5.2 gallons
whats is the value of x?
Enter your answer in the box
x = __
Answer: X= 39
please mark brainliest
Step-by-step explanation:
102+39= 141
180-141 =39
it has to equal to 180 degrees
what is the perimeter of a rectangle with a height of 4 km and a length of 10 km
Perimeter is the sum of the 4 sides.
4+ 4 + 10 + 10 = 28 km
Answer:2 horizontal sides will equal 10 and The 2 Vertical side will equal 4. So add all them together to get 28.
Step-by-step explanation:Perimeter means the outside of Area so u can add all the numbers instead of mutiplying.
Dalton loses weight at a rate of 4% per week. the following function represents his weight loss after x weeks. W(x)=2(1.04)^x. Write the expression that reveals his approximate rate of weight loss per day.
Answer (1.04x=2. X=30103/.017033= 17.673
Answer:
Step-by-step explanation:
(1.006)^7x
j(m) = 2m-1
What is j(4) ?
Enter your answer in the box.
Final answer:
To calculate j(4), we plug in 4 into the function j(m) = 2m - 1, which gives us j(4) = 7.
Explanation:
To determine the value of j(4) in the given function j(m) = 2m - 1, a straightforward substitution is applied. By replacing the variable m with the provided value of 4, the expression j(4) is computed as 2 × 4 - 1, yielding 8 - 1, which simplifies to 7. Therefore, the value of j(4) is unequivocally established as 7. This process exemplifies the fundamental concept of function evaluation, showcasing how input values substitute variables within a function, ultimately producing a specific numerical result for a given function and input combination.
(−9+6.8−1.2)·(−0.49−0.51)
Answer:
3.4
Step-by-step explanation:
(−9 + 6.8 − 1.2) · (−0.49 − 0.51)
(−3.4) · (−1)
3.4
Answer:
3.4
Step-by-step explanation:
(−9 + 6.8 − 1.2) · (−0.49 − 0.51)
(−3.4) · (−1)
3.4
What is the edge length of 216 cubic inches?
The edge length of a cube with a volume of 216 cubic inches is 6 inches.
To find the edge length of a cube with a volume of 216 cubic inches, we can use the formula: Volume = [tex]edge length^3[/tex]. This formula tells us that the volume of a cube is equal to the edge length raised to the power of 3.
Given that the volume is 216 cubic inches, we can rearrange the formula to solve for the edge length. Let's call the edge length "x":
[tex]x^3 = 216[/tex]
To find the value of x, we need to find the cube root of 216. The cube root of a number is the number that, when multiplied by itself three times, equals the original number.
In this case, the cube root of 216 is 6, because 6 x 6 x 6 = 216.
Therefore, the edge length of a cube with a volume of 216 cubic inches is 6 inches.
To Learn more about original number here:
https://brainly.com/question/31139351
#SPJ2
What is 7,211 divided by 58?
Answer:
Approximately 124.327586
Step-by-step explanation:
Hope this helped.
Answer:
124.3275862068966
Step-by-step explanation:
I put it in my calculator
The square root of 1000 is between __________ .
A
498 and 502
B
98 and 102
C
48 and 52
D
28 and 32
The square root of 1000 is between 28 and 32. so option D is correct.
How to find the closest integer less than and greater than the square root of a number?The function is strictly increasing function for x ≥ 0.
Assuming that all the values of x are ≥ 1, whenever there is increment in the value of 'x', the value of y increases too.
That means, we've got:
[tex]x_1 < x_2 < x_3 \implies \sqrt{x_1} < \sqrt{x_2} < \sqrt{x_3} \: \text{(such that } x_1 \leq 1[/tex]
Perfect square are those integers whose square root is an integer.
Let x-a be the closest perfect square less than x and let x+b be the closest perfect square more than x, then we get: x-a < x < x+b (no perfect square in between x-a and x+b, except possibly x itself).
Then, we get:
[tex]\sqrt{x-a} < \sqrt{x} < \sqrt{x+b}[/tex]
We need to find the square root of 1000
So, the square root of 1000 is 31.6227766017
[tex]\sqrt{1000} = 31.622[/tex]
Thus, The square root of 1000 is between 28 and 32. so option D is correct.
Learn more about square root here:
brainly.com/question/7200235
#SPJ5
The square root of 1000 lies between 28 and 32, so the correct answer matches option D.
To determine the square root of 1000, we need to find two consecutive integers between which this value lies. We know that:
The square root of 900 (which is 30²) is 30.
The square root of 1024 (which is 32²) is 32.
Therefore, the square root of 1000 lies between 30 and 32.
This matches option D which states between 28 and 32.
sophia pays a $19.99 membership fee for an online music store. If Sophia purchases n songs for $0.99 each, write an expression for the total cost.
A
0.99n−19.99
B
0.99n+19.99
C
0.99n×19.99
D
0.99n19.99
Part B
If she buys two songs from a new album, what is the total cost?
help me asap
Answer:
Step-by-step explanation: B
answer needed asap please
Answer: [tex]Total\ number\ of\ people=70[/tex]
Step-by-step explanation:
For this exercise let "m" represents the total number of men at the meeting.
You know that the total number of people at the meeting represents de 100% of the people there.
According to the information given in the exercise, the number of men in the meeting representes the 40% of the people. So:
[tex]100\%-40\%=60\%[/tex]
As you can notice, 60% of the perople are women.
Then, knowing that the number of women is 42, you can set up the following proportion:
[tex]\frac{42}{60}=\frac{m}{40}[/tex]
Solve for "m" in orde to find its value:
[tex](40)(\frac{42}{60})=m\\\\m=28[/tex]
Therefore, the total number of people at the meeting is:
[tex]Total\ number\ of\ people=42+28=70[/tex]
What is the sum of the series?
The sum of the series is -4.
Step-by-step explanation:
Step 1:
The symbol Σ is called sigma and it is used to sum all the values in it.
The lower limit is 3 while the upper limit is 6.
So for the equation 2k - 10, we substitute the values of k as 3, 4, 5, and 6 and then add all these values up.
Step 2:
Now we the values of k are substituted and values are determined.
When [tex]k = 3, 2k -10 = 2(3)-10 =6 -10 =-4,[/tex]
When [tex]k = 4, 2k -10 = 2(8)-10 =8 -10 =-2,[/tex]
When [tex]k = 5, 2k -10 = 2(5)-10 =10 -10 =0,[/tex]
When [tex]k = 6, 2k -10 = 2(6)-10 =12 -10 =2.[/tex]
Step 3:
Σ[tex](2k-10)[/tex] between k = 3 and k = 6 is equal to
[tex]-4 -2 +0 + 2 = -6 + 2 = -4.[/tex]
So the sum of the given series is -4.
15. MODELING REAL LIFE You use a computer
program to transform an emoji. How can
you transform the emoji as shown?
(Picture above)
Answer:
either rotate it right 90 degrees or one quarter rotation or rotate it left 270 degrees or three quarters rotation.
Step-by-step explanation: either one works. could you please give me crow, i rly need it i just need two more. it wold help so much.
Divide Whole Numbers by Unit Fractions Quiz How many 1/5 s are in 9? A. 5/9 B. 9/5 C. 45 D. 4 1/2