Answer:
The length of the wire is 3.24451394 × 10⁻⁹ cm
Step-by-step explanation:
The volume of the wire = 66 cm³
The diameter of the wire = 1 mile
We convert the volume from cm³ into mile³ to get;
66 cm³ = 1.5834 × 10⁻¹⁴ mile³
The volume = π × D²/4 × l
Where;
D = The diameter = 1 mile
l = The length of the wire
1.5834 × 10⁻¹⁴ = π × 1²/4 × l
The length of the wire = l = 1.5834 × 10⁻¹⁴/(π × 1²/4) = 2.0160475 × 10⁻¹⁴ mile
1 mile = 160,934.4 cm
2.0160475 × 10⁻¹⁴ mile = 2.0160475 × 10⁻¹⁴ × 160,934.4 cm = 3.24451394 × 10⁻⁹ cm
The length of the wire = 3.24451394 × 10⁻⁹ cm
Bart needs 18 pieces of string 35 inch in length. He cut a 825inch piece of string into pieces that are 35 of an inch long. How many more pieces of string does he need? Show your work.
Answer:
He needs 4 more pieces
Step-by-step explanation:
Here, we want to know the number of more string pieces that are needed
Firstly, we need to the number of string pieces obtained from the 8 2/5 inch piece
we divide 8 2/5 by 3/5
That will be;
42/5 * 5/3 = 14
So what he will get is 14 pieces from the 8 2/5 inch
The number of pieces needed is thus;
18-14 = 4
The function y=-0.25+1 represents the percent y (in decimal form)  A battery power remaining x hours after you turn on the laptop computer. Identify and interpret the slope.
The slope is ___. This means that the power ____ by ____ per hour
Answer:
The slope is -0.25. This means that the power reduces by 0.25 percent per hour
Step-by-step explanation:
Given
[tex]y = -0.25x + 1[/tex]
Required
Identify and interpret the slope
An equation has a general form:
[tex]y = mx + b[/tex]
Where
[tex]m = slope[/tex]
Compare [tex]y = mx + b[/tex] to [tex]y = -0.25x + 1[/tex]
We have:
[tex]mx = -0.25x[/tex]
Divide both sides by x
[tex]\frac{mx}{x} = \frac{-0.25x}{x}[/tex]
[tex]m = \frac{-0.25x}{x}[/tex]
[tex]m = -0.25[/tex]
Because the result of the above calculation is negative, it means that the function reduces
The given function measures the percentage of power by hour.
So, the power reduces by 0.25% per hour
Please help me! Thank you so much!
Answer: It's (A) 12<X
Step-by-step explanation: I chose that one because the line highlighted on the number line, it's bigger than 12!
Your town has seen a steady decrease of job opportunities by the amount of 10% every year. If the number of jobs available at the end of last year was estimated at 350,000, then how many jobs will there be by the end of the following year?
a.
45,000
c.
35,000
b.
385,000
d.
315,000
Answer:
c)35000
Step-by-step explanation:
10%of 350000
10/100×350000
0.1×350000=35000
Answer: D
Step-by-step explanation:
350,000 - 10% = 315,000
Which of the following is the radical expression 2d 7/10
Answer:
[tex]2d^{\frac{7}{10}}[/tex] [tex]= \sqrt[10]{2d^7}[/tex]
Step-by-step explanation:
Given
[tex]2d^{\frac{7}{10}}[/tex]
Required
Determine the radical expression
To do this, we apply the following law of indices:
[tex]a^{\frac{m}{n}} = \sqrt[n]{a^m}[/tex]
By comparing the above to [tex]2d^{\frac{7}{10}}[/tex], we have:
[tex]m=7[/tex]
[tex]n = 10[/tex]
So, the solution becomes
[tex]2d^{\frac{7}{10}}[/tex] [tex]= \sqrt[10]{2d^7}[/tex]
a box is 50 cm long. how long is the box in feet
Answer:
____1.64042 foot____
Pls help me as fast as possible
Answer:
.56
Step-by-step explanation:
Use a calculator.
Look at the photo pick A B C D either one explanation not needed thank you! <3
Answer:
B.4
Step-by-step explanation:
It's asking the absolute value even though -6 is used here. So the answer is 4.
Please help it’s for geometry
Answer:
BI=BK
Step-by-step explanation:
BJ=BJ(common side)
<BJI=<BJK=90° (Perpendicular given)
IJ=JK (Bisector given)
congruent triangle ∆BIJ=~∆BKJ (RHS rule)
therefore, BI= BK
Which is an example of radiation?
1.Hot air rises and cool air moves in to take its place.
2.You burn your feet on a hot sidewalk on a sunny day.
3.Your car parked in the sun is hot when you return.
Answer:
3
Examples of Everyday Radiation
Visible light.
Infrared light.
Near ultraviolet light.
Microwaves.
Low frequency waves.
Radio waves.
Waves produced by mobile phones.
A campfire's heat.
What is the decimal equivalent of 2 + 11 and how 4 + 3?
Answer:
13.00 ; 7.00
Step-by-step explanation:
The decimal equivalent of :
2 + 11 = 13 ; expressed as a float = 13.00
The decimal equivalent of :
4 + 3 = 7 ; expressed as a floating point number = 7.00
Some steps to construct an angle MNT congruent to angle PQR are listed below.
Step 1: Draw a segment NT.
Step 2: Use a compass to draw an arc from point Q that intersects the side PQ of angle PQR at point A and the side QR at point B.
Step 3:
Step 4: Adjust the width of the compass to AB, and draw an arc from point X such that it intersects the arc drawn from N in a point Y.
Step 5: Join points N and Y using a straightedge.
Which statement describes step 3 correctly?
Use the same width of the compass to draw an arc from point T that intersects the segment NT at a point X.
Use the same width of the compass to draw an arc from point N that intersects the segment NT at a point X.
Use the same width of the compass to draw an arc from point A that intersects the segment NT at a point X.
Use the same width of the compass to draw an arc from point B that intersects the segment NT at a point X.
From the description of the construction of the congruent angle, we have;
The statement that describes step 3 correctly is; Use the same width of the compass to draw an arc from point N that intersects the segment AN at a point X
The reason for making the above selection is as follows:
The steps to construct an angle congruent to another angle are;
Step 1: Given an angle PQR, draw a working segment NT
Step 2: Place the needle of the compass at point Q and draw an arc (Q, QA), intersecting sides PQ and QR of the angle ∠PQR at points A and B respectively
Step 3: Place the needle of the compass at point N and draw an arc with the compass width QA from above the to intersect the segment NT at a point X
Step 4: Set the compass width to the distance AB with which an arc is drawn from point X so as to intersect the arc (N, QA) above at point Y
Step 5: The points Y and N are joined with a straight line to form the congruent angle
Analysis of the steps:
Given that in step 4, we have that the the arc drawn from point X with compass width AB is meant to intersect the arc drawn from point N, at point Y, we have that in step 3 an arc was drawn from point N with compass width QA from step 2 to intersect NT at a point X
Therefore;
Step 3 is best described by the following statement;
Use the same width of the compass to draw an arc from point N that intersects the segment AN at a point X
Learn more about the construction of congruent angles here:
https://brainly.com/question/9781303
Use the same width of the compass to draw an arc from point N that intersects the segment NT at a point X.
This option gives us the step 3.
This is because we want to have equal angles. Therefore we select an arc equal in length to arc AB which intersects NT at point X.
This can be explained more with the help of a diagram.
Two angles are equal when their dimensions are equal.
Arcs of equal length would give congruent angles.
https://brainly.com/question/11406334
2x+3y=12
find the missing values
find k so that x-1 is a factor of x^3 -3x^2 + kx - 1
By the remainder theorem, if p(x) = x³ - 3x² + kx - 1 and x - 1 is a factor p(x), then the remainder upon dividing p(x) by x - 1 is p (1) = 0.
So we have
p (1) = 1³ - 3 • 1² + k - 1 = 0
Solve for k :
1 - 3 + k - 1 = 0
k = 3
A cyclist travels 7 miles in 15 minutes.
What is her average speed in mph?
Answer:
0.47 miles per hour
Step-by-step explanation:
(60 + 10)
130
Solve for a
Answer:
Step-by-step explanation:
here you go mate'
step 1
(60 + 10)130 equation
step 2
(60 + 10)130 simplify with the brackets
step 3
130(70) multiply the numbers
answer
9100
WILL MARK BRAINLIEST!!!!!!!!!!!!!!! 20 POINTSSS
24 grams of salt and 16 grams of pure water were added to 160 grams of a 35% solution. What is the percentage of salt in the new solution?
Answer: 40%
Steps are below
Step-by-step explanation:
First, let's find the amount of salt. 160/100=1.6, then 1.6x35 is 56. So the current amount of salt before we add more salt is 56g. Now that we know the amount of salt, let's find the amount of water. The total amount of solution is 160g, 56g of that is salt, and the rest is pure water. 160-56= 104g of pure water. Let's add 24 grams of salt and 16 grams of pure water. We now have 80g of salt, and 120g of water. A common mistake is doing 80/120, WHICH IS INCORRECT. The correct formula for solution/concentration is the amount of substance/total amount of solution. So you'd do 80+120 to get 200, and then do 80/200 which gets you 40%.
Hope it helps!! :D
What is 238% of 250????
Answer:
250*2.38= 595. so the answer is 595
What is a solution to the equation x^2=25x 2 = 25?
Answer:
5
Step-by-step explanation:
hope this helps :)
5^2=25
5x5=25
Please help What value of x is in the solution set of 8x-6>12+2x? O-1 O0 O3 O5
Answer:
5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality PropertiesStep-by-step explanation:
Step 1: Define
8x - 6 > 12 + 2x
Step 2: Solve for x
Subtract 2x on both sides: 6x - 6 > 12Add 6 to both sides: 6x > 18Divide 6 on both sides: x > 3Here we see that any value x greater than 3 would work as a solution to the inequality.
Out of the answer choices, 5 is the only number greater than 3.
Given g(x) = -
—x – 2, find g(-3).
Answer:
1
Step-by-step explanation:
negative times negative is positive so that would make it 3-2 which is 1.
Lila wrote an equation of the cost for printing brochures, where x represents the number of brochures and y represents the total cost. The total cost for 35 brochures is $41.45. The total cost for 65 brochures is $55.55.
Step 1: Write the ordered pairs (35, 41.45) and (65, 55.55).
Step 2: Find the slope. m = StartFraction 55.55 minus 41.45 Over 65 minus 35 EndFraction = 0.47
Step 3: Find the y-intercept to write the equation in slope intercept form. y minus 55.55 = 0.47 (x minus 35). Y minus 55.55 = 0.47 x minus 16.45. y = 0.47 x + 39.1.
Which explains the error that Lila made?
A. Lila made in error in Step 1 by reversing the ordered pairs.
b.Lila made an error in Step 2 by not using the slope formula.
c.Lila made an error in Step 3 when she did not use the x- and y-coordinates from the same ordered pair.
d.Lila made an error in Step 3 when she did not use the distributive property correctly when multiplying.
since its hard first answer = brainliest
Answer:
c
Step-by-step explanation:
Please see the attached picture for the full solution.
Answer:
C.
Step-by-step explanation:
What value of q is a solution to this equation?
-3(12+q)=-18
Answer: q= -6
Step-by-step explanation:
what is the solution to -3x=9?
Answer:
x=-3
Step-by-step explanation:
Step-by-step explanation:
-3x=9
x= -3 Hope this helps
diagram 7(i) shows a square with area of 64cm² formed using a string.The string is cut to form another two congruent rectangles with length 5 cm, as shown in diagram 7(ii).Calculate the area , one of the rectangles.If u guys can help me solve this, u guys really save my life.I need to submit tomorrow morning.
Answer:
The area of one rectangle is 15 cm²
Step-by-step explanation:
The given parameters are;
The area of the square = 64 cm²
The length of the rectangles = 5 cm
The formula for the area of a square = (Side length)² = S²
Therefore, whereby the side length of the given square = S, we have;
Area of the square = 64 = S × S = S²
S = √(64 cm²) = 8 cm
The side length of the square = 8 cm
The perimeter of a square = The length of the string = Side length × 4 = 8 cm × 4 = 32 cm
∴ The perimeter of a square = The length of the string = 32 cm
The length of the string = The perimeter of the two congruent rectangle = 32 cm
Therefore;
The perimeter of each rectangle = 32/2 cm = 16 cm
Given that the length, L of the side of each rectangle is L = 5 cm, we have;
The perimeter of a rectangle = 2 × L + 2 × W
Where;
W = The width
The perimeter of the rectangle = 16 = 2 × 5 + 2 × W
2 × W = 16 - 2 × 5 = 6
W = 6/2 = 3
W = 3 cm
The width, W, of each rectangle is W = 3 cm
The area of one rectangle = W × L = 3 cm × 5 cm = 15 cm²
The area of one rectangle = 15 cm².
If the distance of P x, y from the points A (3, 6) and B −3, 4 are equal, prove that
3x + y = 5
Answer:
See Below.
Step-by-step explanation:
We are given a point P(x, y). It is equidistant from A(3, 6) and B(-3, 4).
So, let's first determine the distance from P to each point. We can use the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Segment PA:
We will let P(x, y) be (x₂, y₂) and A(3, 6) be (x₁, y₁). By substitution:
[tex]d=\sqrt{(x-3)^2+(y-6)^2[/tex]
This represents the distance from P to A.
Segment PB:
Again, we will let P(x, y) be (x₂, y₂) and B(-3, 4) be (x₁, y₁). By the distance formula:
[tex]d=\sqrt{(x-(-3))^2+(y-4)^2}[/tex]
We may simplify:
[tex]d=\sqrt{(x+3)^2+(y-4)^2}[/tex]
Now, we know that the two distances are equivalent. Hence:
[tex]\sqrt{(x-3)^2+(y-6)^2}=\sqrt{(x+3)^2+(y-4)^2[/tex]
Simplify. Square both sides:
[tex](x-3)^2+(y-6)^2=(x+3)^2+(y-4)^2[/tex]
Square:
[tex](x^2-6x+9)+(y^2-12x+36)=(x^2+6x+9)+(y^2-8x+16)[/tex]
Subtract all terms from the right:
[tex](x^2-6x+9)-(x^2+6x+9)+(y^2-12x+36)-(y^2-8x+16)=0[/tex]
Distribute the negative:
[tex][(x^2-6x+9)+(-x^2-6x-9)]+[(y^2-12y+36)+(-y^2+8y-16)]=0[/tex]
Rearrange:
[tex][(x^2-x^2)+(-6x-6x)+(9-9)]+[(y^2-y^2)+(-12y+8y)+(36-16)]=0[/tex]
Combine like terms;
[tex](-12x)+(-4y)+(20)=0[/tex]
We can divide both sides by -4:
[tex]3x+y-5=0[/tex]
Finally, adding 5 to both sides produces:
[tex]3x+y=5[/tex]
please help me on this!!
Answer:
1. 7 people play soccer
2. 5 people play ONLY soccer.
3. 2 people play both soccer and basketball
Step-by-step explanation:
One side of the venn diagram is Basketball.
the other side is soccer.
the middle is both.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
what is 5.476; rounded to the narthest hundredths
Answer:
The answer is 5.48
Step-by-step explanation:
When rounding the hundredths (second number after the dot), you want to look at the number on the right. In this case, that number is 6.
Anytime the number to the right is more than 5, you make the number before it one number higher. Here, the 7 in 5.476 turns into 5.48.
After you've rounded, drop the number you looked at. So, no need for the 6 anymore!
That's it!
Ayana's chemistry class is exploring how the weight and volume of everyday objects are related. For her first experiment, Ayana gently drops a brick into a beaker filled with water. The volume increases by 2 liters, so now she knows the volume of the brick. Then, she uses its density to make a prediction about its weight in kilograms. If the density of brick is approximately 2 grams per milliliter, what should Ayana's prediction be?
Answer: In the custom setting, choose the ‘My Object’ option in the material drop down box. Set the mass of your object to 4 kg. Adjust the volume to find the minimum volume needed to make the object float.
Volume________4.09_L________ Density__________.98 kg/L________
2. How does the density of a large piece of aluminum compare to a small piece?
Step-by-step explanation:
Which is an equivalent way to express 3x?