The number 4.5x10⁻⁶ can be expressed in standard notation as decimal 0.0000045.
In scientific notation, numbers are expressed as a decimal number between 1 and 10 multiplied by a power of 10. In this case, 4.5 is the decimal number and 10⁻⁶ represents the power of 10.
To convert this to standard notation, we move the decimal point six places to the left to match the negative exponent of 10⁻⁶. This gives us:
0.0000045
In standard notation, this number is written as 0.0000045, where the zeros after the decimal point indicate the value of the number in the place of each digit. The last non-zero digit in this case is 5, which is in the sixth decimal place.
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The complete question:
What is 4.5x10⁻⁶ in standard notation?
Graph [tex]g(x)=\frac{1}{2}|x+2|-3[/tex] as a transformation of [tex]f(x)=|x|[/tex]. Then identify the transformation.
Answer:
see below
Step-by-step explanation:
g(x) = 1/2 | x+2| -3
y = Cf(x) 0 < C < 1 compresses it in the y-direction
y = f(x + C) C > 0 moves it left
y = f(x) + C C < 0 moves it down
1/2 compression in the y direction moved to the left 2 units and down 3 units
Given: g(x) = 1/2|x + 2| - 3
0 < c < 1 means at the y-axis and makes it smaller
y = cf(x)
1/2 compression
c > 0 means that you move it to the left
y = f(x + c)
2 units to the left
c < 0 means that you move it down
y = f(x) + c
3 units down
Best of Luck!
Which equation represents the data: m = -3, b = 5
O y = -3x + 5
O y = x
Oy= 5x - 3
Zero
Answer:
y=-3x+5
Step-by-step explanation:
In the form of y=mx+b
A baby elephant named Nora was born at a wildlife refuge and weighed 200 lbs when she was
born and gained 22 lbs every week. In preparation for her birth, the staff estimated how much
she would weigh at certain weeks so they could stock some of her food ahead of time. They
documented that at 16 weeks she would weigh approximately 352 lbs. Did they estimate
correctly? If so, explain why. If not, describe what they did wrong and find her accurate weight.
Answer:
352 lbs is correct
Step-by-step explanation:
They did estimate correctly. for how to do this look below:
So we have a elephant that gains 22 pounds every week and they estimated that at 16 week she would be at 352 lbs
22 which was current pounds at the time and she would keep gaining that every week for 16 weeks
So weight times weeks
22*16
22*16= 352
Hope this helps!
Tacoma's population in 2000 was about 200 thousand, and has been growing by about 8% each year. If this continues, what will Tacoma's population be in 2010?
Please help urgent easy question,just no 8
Answer:
Ruby is 11. Tanya is 14.
Step-by-step explanation:
Let Ruby's age eight years ago be x.
Tanya's age eight years ago = 2x.
Ruby's age now = x + 8
Tanya's age now = 2x + 8
Total age = [tex]x+8+2x+8=25[/tex]
[tex]3x+16=25[/tex]
Subtract 16 from both sides:
[tex]3x+16-16=25-16[/tex]
[tex]3x=9[/tex]
Divide both sides by 3:
[tex]\frac{3x}{3} =\frac{9}{3}[/tex]
[tex]x=3[/tex]
Ruby's age now [tex]=x+8=3+8=11[/tex]
Tanya's age now [tex]=2x+8=2(3)+8=6+8=14[/tex]
Answer:
Tanya is 14; Ruby is 11.
Step-by-step explanation:
Let T represent Tanya's current age and let R represent Ruby's current age.
We know that their ages add up to 25. So:
[tex]T+R=25[/tex]
8 years ago, Tanya was twice as old as Ruby. In other words, Tanya's current age minus 8 is the same as Ruby's current age minus 8 times 2. So:
[tex]T-8=2(R-8)[/tex]
We have a system of equations. We can solve by substitution. From the first equation, subtract R from both sides:
[tex]T=25-R[/tex]
Substitute this into the second equation:
[tex](25-R)-8=2(R-8)[/tex]
On the left, subtract. On the right, distribute:
[tex]17-R=2R-16[/tex]
Add 16 to both sides. The right side cancels:
[tex]33-R=2R[/tex]
Add R to both sides. The left cancels:
[tex]33=3R[/tex]
Divide both sides by 3:
[tex]R=11[/tex]
So, Ruby is currently 11 years old.
So, Tanya is currently 25-11 or 14 years old.
Check:
8 years ago, Ruby was 11-8 or 3 years old.
8 years ago, Tanya is 14-8 or 6 years old.
Tanya's age of 6 is 2 times Ruby's age of 3 so our answer is correct.
WILL MARK YOU BRAINLIEST
Answer:
(-4, -0.5)
Step-by-step explanation:
According to the graph ,
[tex](-5 , -4) =(x_1,y_1)\\(-3 , 3)=(x_2,y_2)[/tex]
Sorry for the bad handwriting
Workings are in the picture
HELP ME PLEASE I NEEED THIS <33
Since angle COB is the central angle of arc CB, the measure of arc CB = 80 degrees
I need help! And I need a reasoning as well
Answer:
A) 3²·3³
E) 3^4·3^1
Step-by-step explanation:
When multiplying numbers with exponents, keep the base the same and add the exponents.
So A and E would equal 3 to the fifth power.
Answer:
A & D
Step-by-step explanation:
3^5 = 243
The only other equations that also equal 243 are A & D.
You can also break the exponent up.
(Ex: The exponent is 5. You can split it by having 1 & 4 or 2 & 3)
(Ex continued: The number 3 must be the base number though.)
(7^5)^7 HURYYYYY................
Answer:
Exact Form:
[tex]7^{35}[/tex]
Decimal Form:
3.78818692 x [tex]10^{29}[/tex]
I hope this helped! :) If this is correct please give me brainliest!
Math I’m giving brainlist and 20 points
Answer:
What work are you referring to
In segment AC, point B is between A and C. Which of the following is true?
A. Point A + Point B = Point C
B. AB + AC = BC
C. AB + BC = AC
Answer:
b
Step-by-step explanation:
Answer:b
Step-by-step explanation:
5. What is the value of this function evaluated at F(-3)?
F(x)=2x² + 5x - 9
Answer:
Step-by-step explanation:
In which expression should the exponents be multiplied? (4 points)
What is the answer and steps to the problem 11(8r+3)-2(-9+6r)
-11+x-12-8=2x-13-11 plz I need it now !!
y ∝ 1 √ x If y = 5 when x = 49 find, y when x = 25
Answer:
y = 1/7
Step-by-step explanation:
y ∝ 1/√x ⇒ y = k/√xy = 5, x = 49 ⇒ 5 = k/√49 ⇒ 5 = 7k ⇒ k = 5/7y = 5/(7√x) ⇒ x = 25 ⇒ y = 5/(7√25) = 5/(7·5) = 1/7The value of x is 25 then y is 7.
What is Proportionality?In mathematics, proportionality denotes a linear relationship between two quantities or variables. Both quantities increase in size when one doubles, and both decrease in size when one drops to a tenth of its original value.
Given:
y ∝ 1 √ x
and, y= 5 when x= 49
So, the relation will be
y ∝ 1/√x
y = k/√x
So, 5 = k/√49
5 = k /7
k = 35
Now, k = y/ √x
35 = y √25
35 = 5y
y = 7
Hence, when x is 25 then y is 7.
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8. Why is it NOT useful to view science as a set of facts?
This is my honest opinion
Science is not just facts. Science, to me, is full of theories and hypotheses that can be proved wrong. Yes, a majority of it is actually factual, but in the future it may or may not be true.
I hope it helps.
Si una pulgada equivale a 2,54cm, ¿Cuantas pulgadas mide una barra de 31,75 cm?
Answer:
12.5 pulgadas
Step-by-step explanation:
31,75 cm * (1 pulgada)/(2,54 cm) = 12.5 pulgadas
Help plzzzzzzzzzzzzzzzzzz
Answer:1
Step-by-step explanation:
Answer:
[tex]x=-11[/tex]
Step-by-step explanation:
[tex]\sqrt{5-x}=4[/tex]
Square both sides:
[tex](\sqrt{5-x})^2=4^2[/tex]
[tex]5-x=16[/tex]
Subtract 5 from both sides:
[tex]5-x-5=16-5[/tex]
[tex]-x=11[/tex]
Divide both sides by -1:
[tex]\frac{-x}{-1}=\frac{11}{-1}[/tex]
[tex]x=-11[/tex]
Point C is on line segment \overline{BD} BD . Given CD=2x,CD=2x, BD=3x+4,BD=3x+4, and BC=2x-1,BC=2x−1, determine the numerical length of \overline{BD}. BD
Answer:
[tex]BD = 19[/tex]
Step-by-step explanation:
Given
[tex]CD = 2x[/tex]
[tex]BD = 3x + 4[/tex]
[tex]BC = 2x -1[/tex]
Required
Find BD
Since C is on BD, we have:
[tex]BD = BC + CD[/tex]
Substitute values for BD, BC and Cd
[tex]3x + 4 = 2x - 1 + 2x[/tex]
Collect Like Terms
[tex]3x - 2x - 2x = -1 - 4[/tex]
[tex]-x = -5[/tex]
Multiply through by -1
[tex]x = 5[/tex]
Substitute 5 for x in [tex]BD = 3x + 4[/tex]
[tex]BD = 3 * 5 + 4[/tex]
[tex]BD = 19[/tex]
AB=10,BC=6. What is AC
Answer:
16
Step-by-step explanation:
adding any two sides of a triangle is allways greater than the third side.
fill in the blank to find –5 + (-2)
What is the x-intercept of the equation below? 5x - 8y = 10 A. ( 2 , 0 ) B. ( 0 , 2 ) C. ( 0 , -5/4 ) D. ( -5/4 , 0 )
Answer:
A. ( 2 , 0 )
Step-by-step explanation:
[tex]5x - 8y = 1[/tex]
Let y = 0
[tex]5x-8(0) =10[/tex]
Multiply ; 8×0=0
[tex]5x-0=10[/tex]
Collect like terms and simplify
[tex]5x =10+0\\\\5x =10[/tex]
Divide both sides of the equation by 5
[tex]\frac{5x}{5}= \frac{10}{5}[/tex]
Simplify
[tex]x =2\\\\(2,0)[/tex]
Answer:
Yes the answer is A. I just did this.
Step-by-step explanation:
Evaluate 4(a2+2b)-2 when a = 2 and b =-2
Answer: -2
Explanation 》》》》》》》》》》
4×(2×2+2×-2)-2
=4×(4-4) -2
=4×0 -2
= -2
please help w qn 3!!
Answer:
a) 67.8m
b) 36.8m
(both answers rounded off to 3 s.f.)
Step-by-step explanation:
Please see the attached pictures for full solution.
*Instead of rewriting PF to QF +43 in part (a), you could also leave PF as it is and rewrite QF as PF -43 after the line I labelled as equation 2. The working would be about the same, just that you would not need to add 43 again in picture 3 because we would be working with PF. (PF would be factorised out instead)
The midpoint of AB is M(-2,-6). If the coordinates of A are (1, –4), what are
the coordinates of B?
5. What single rigid motion can move the solid figure onto the dashed figure?
Translation
Dilation
Reflection
Rotation
Answer:
Rotation
Step-by-step explanation:
If you were to translate it, it wouldn't match up because it needs to be turned around. translation just involves moving the shape without rotating it. a dilation means that you're changing the size, and you're not supposed to do that for this problem. a reflection means that if you were to fold in between these two shapes, they would match up. They Don't in this case so that won't work. A rotation is the only way to get it so that all of the areas match up.
a rectangular hallway has dimension 6 feet by 18 feet. it is to be tiled with squares tiles, each with the dimension 2/3 feet by 2/3 feet. How many tiles will you need?
We need to find the area of the hallway. To find the area of a rectangle, simply multiply the length and width together.
6ft * 18ft = 108^ft
Now, let's find the area of the square tiles. To find the area of a square, simply square one side.
(2/3ft)^2 = 4/9ft^2
To find out how many square tiles are necessary to tile the hallway, lets divide the area of the hallway by the area of one square.
108ft^2 / (4/9ft^2) = 243 tiles
Identify the hypothesis and conclusion of each statement.
13. If the ball is red, then it will bounce higher.
14. If a plane contains two lines, then they are coplanar.
15. If the light does not come on, then the circuit is broken.
16. You must wear your jacket if it is cold outside.
Any conditional is of the form "if hypothesis, then conclusion"
=============================
13.
Hypothesis = The ball is red
Conclusion = It (the ball) will bounce higher
=============================
14.
Hypothesis = A plane contains two lines
Conclusion = They (the two lines) are coplanar
=============================
15.
Hypothesis = The light does not come on
Conclusion = The circuit is broken
=============================
16.
Hypothesis = It is cold outside
Conclusion = You must wear your jacket
It might help to rewrite the original sentence as "If it is cold outside, then you must wear your jacket" to have it match up with the "if P, then Q" format (P and Q are the hypothesis and conclusion in that order).
The Hypothesis and Conclusion of each statement are;
13. Hypothesis = The ball is red
Conclusion = It (the ball) will bounce higher
14. Hypothesis = A plane contains two lines
Conclusion = They (the two lines) are coplanar
15. Hypothesis = The light does not come on
Conclusion = The circuit is broken
16.Hypothesis = It is cold outside
Conclusion = You must wear your jacket
What is The Hypothesis and Conclusion?
The conclusion is “then,” part of a conditional statement.
The hypothesis is the “if,” part of a conditional statement
Now,
To find the hypothesis and conclusion of each statement we can change any conditional is of the form "if hypothesis, then conclusion"
The first statement is;
13. If the ball is red, then it will bounce higher.
In form of the hypothesis and conclusion written as;
⇒ Hypothesis = The ball is red
Conclusion = It (the ball) will bounce higher
And, The second statement is;
14. If a plane contains two lines, then they are coplanar.
In form of the hypothesis and conclusion written as;
⇒ Hypothesis = A plane contains two lines
Conclusion = They (the two lines) are coplanar.
And, Third statement is;
15. If the light does not come on, then the circuit is broken.
In form of the hypothesis and conclusion written as;
⇒ Hypothesis = The light does not come on
Conclusion = The circuit is broken.
And, Fourth statement is;
16. You must wear your jacket if it is cold outside.
In form of the hypothesis and conclusion written as;
⇒ Hypothesis = It is cold outside
Conclusion = You must wear your jacket
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23=1/3b-2+4/3b
what is the value of b?
Answer:
b=15
Step-by-step explanation: