Given:
The expression is:
[tex]\dfrac{2.1\times 10^6}{7\times 10^3}[/tex]
To find:
The simplified form of the given expression in standard form.
Solution:
We have,
[tex]\dfrac{2.1\times 10^6}{7\times 10^3}[/tex]
It can be written as:
[tex]\dfrac{2.1\times 10^6}{7\times 10^3}=\dfrac{21\times 10^5}{7\times 10^3}[/tex]
[tex]\dfrac{2.1\times 10^6}{7\times 10^3}=\dfrac{21}{7}\times \dfrac{10^5}{10^3}[/tex]
[tex]\dfrac{2.1\times 10^6}{7\times 10^3}=3\times 10^{5-3}[/tex] [tex][\because \dfrac{a^m}{a^n}=a^{m-n}][/tex]
[tex]\dfrac{2.1\times 10^6}{7\times 10^3}=3\times 10^2[/tex]
Therefore, the required value is [tex]3\times 10^2[/tex].
ei
Draw
List
UP table with
your good and
Good Stuely habits
cose Study brow
your bad Study habite
Bal Study habits
В
14
b
Answer:
wha- I have no idea what your saying
??????????????????????
Answer:
Multiply by -2
Step-by-step explanation:
Additive inverse essentially means the counterpart that negates a number. Then, elimination can be used. In this case, the easiest change would be with the terms -4y in the first equation, and -2y in the second equation, since 2 is a factor of 4. So,
3x - 4y = -5
5x - 2y = -6
The goal here is to cancel out the -4y.
(5x - 2y)(-2) = (-6)(-2)
-10 + 4y = 12
3x - 4y = -5
Now it works.
10. Given that the areas of the two rectangles are equal, calculate the
value of x. What is the area of each rectangle?
Answer:1251231
Step-by-step explanation:
What are m∠1 and m∠2?
Answer:
Not enough information
Best answer is getting brainiest
Answer:
17.8
Step-by-step explanation:
We can find this because we know that to make a cube, we need to do [tex]c*c*c[/tex] or [tex]c^3[/tex]. With this, we can simplify our equation (by taking the root of both sides) to [tex]c=\sqrt[3]{5639.752}[/tex] or 17.8.
The length of a side and the corresponding height of a triangle are (x+3) cm and (2x-5) cm respectively. Given that thr area of the triangle is 20 cm^2, find the value of x.
Answer: 5
Step-by-step explanation:
Given
The length of a side is [tex]x+3\ cm[/tex]
The height of a triangle is [tex]2x-5\ cm[/tex]
Area of triangle is [tex]20\ cm^2[/tex]
Area of triangle is given by
[tex]\Rightarrow A=\dfrac{1}{2}\times \text{base}\times \text{height}[/tex]
[tex]\Rightarrow A=\dfrac{1}{2}\times (x+3)\times (2x-5)\\\\\Rightarrow 40=(x+3)\times (2x-5)\\\Rightarrow 2x^2+x-55=0\\\\\Rightarrow x=\dfrac{-1\pm \sqrt{1^2-4(2)(-55)}}{2(2)}\\\\\Rightarrow x=\dfrac{-1\pm 21}{4}\\\\\Rightarrow x=-5.5,5[/tex]
Neglecting negative value
Therefore, the value of x is 5.
Georgia is reading at a rate of 2 pages everything 5 minutes. Which graph below shows the same unite rate?
Answer:
D
Step-by-step explanation:
Answer:
I can't see it bc it's not close enough but since it's (2,5) D should be right. If it's not right, then sorry ;-;
(a) There are 15,000 fleas in a carpet at the start of 2017. Each year, 3% of the fleas who were alive the previous year die and 1500 new fleas are born. Find an expression, in as simple a form as possible for the number of fleas N years after the start of 2017.
Answer:
Step-by-step explanation:
Plz help me no links or fake I will report
Answer:
y=6x-38
Step-by-step explanation:
That's the answer for C
Write an equation for..
“The child’s tickets cost $4 each and the adult’s ticket cost $8 each. Write an equation that would represent the total cost, T, of purchasing a child’s tickets, c, and an adult’s tickets, a.”
Answer:
cxa=t cause you are mulltipling to find the total cost
Answer:
Step-by-step explanation:
A child´s ticket costs $4 and adults ticket costs $8. If we want one of each we need to add both numbers together, 4 plus 8 equals 12. The total cost of a child ticket and an adult ticket is $12.
The questions asked to write an equation; the equation would be:
C+A=T it could also be written as A+C=T, T=A+C or T=C+A.
which parent function is f(x)=|x|?
Answer: We can see that it has a parabola for its graph, so we can say that f(x) is a quadratic function. This means that f(x) has a parent function of y = x2.
Step-by-step explanation:
(Hope this helped Btw not mine)
Answer:
Absolute value parent function
Step-by-step explanation:
Find the rate percent per annum at which birr 380 earns birr 128.25 in 7 years and 6 months?
Answer:
A = $4,035.13
Step-by-step explanation:
Given: 380 earns, 128.25 in 7 years and 6 months
To find: The rate percent per annum
Formula: [tex]A = P(1 + rt)[/tex]
Solution: I = A - P = $3,655.13
Equation:
A = P(1 + rt)
First, converting R percent to r a decimal
r = R/100 = 128.25%/100 = 1.2825 per year.
Solving our equation:
A = 380(1 + (1.2825 × 7.5)) = 4035.125
A = $4,035.13
The total amount accrued, principal plus interest, from simple interest on a principal of $380.00 at a rate of 128.25% per year for 7.5 years is $4,035.13.
giving brainliest
The Earth has diameter of 7,917.5 miles. What is the distance a plane would have to fly if it could fly around the entire equator? USE 3.14 for π and ROUND to the nearest HUNDREDTH.
Answer:
distance or circumference= 2πr
2× 3.14× 3958.75
nb I got the radius by dividing the diameter by two
= 24,869.95
to hundreth = 24900
please help it’s a timed test. i’ll mark u branliest. find the measure of each lettered angle
Answer:
d = 162
a = 18
e = 144
g = 78
b = 18
s = 162
h = 84
e = 81
Step-by-step explanation:
Trust
i need help which one is the following is correct formula to find slope
Answer:
a
Step-by-step explanation:
Could anyone help me find the surface area of this? I got 340 and I don't think it's right.
Answer: I got 200
Step-by-step explanation: 14+14+5+5=38*2=76 Thats the front and back and then The sides are 6+6+5+5=22*2=44 then the top and bottom are 14 +14+6+6=40*2=80 then add that all up and 44+80+76=200 (Sorry if its a bit confusing to understand)
What is the volume of this sphere?
Use a = 3.14 and round your answer to the nearest hundredth.
8 mm
cubic millimeters
Answer:
Volume = 2,143.57 mm³
Step-by-step explanation:
Given:
radius (r) = 8 mm
π = 3.14
Required:
Volume of the sphere
Solution:
Volume of the sphere = ⁴/3πr³
Plug in the values
Volume = ⁴/3 × 3.14 × 8³
= ⁴/3 × 3.14 × 512
= 6,430.72/3
Volume = 2,143.57333
Volume = 2,143.57 mm³ (nearest hundredth)
Please help me (
9th grade math)
please help!! like ASAP
Answer:
A
Step-by-step explanation:
-10x – 2y = -30
3x + 2y = 9
X=
Answer: x = 3
Step-by-step explanation:
-10x - 2y = -30
3x + 2y =9
use elimination method...
-2y and 2y = 0
-10x = - 30
3x = 9
add together...
-7x = -21
solve...
x= 3
What are the zeros of the quadratic function?
y = x^2 - 2x - 15
Answer:
[tex]x=\frac{1+\sqrt{31}}{2},\:x=\frac{1-\sqrt{31}}{2}[/tex]
Step-by-step explanation:
[tex]-> 0=2x^2-2x-15[/tex]
-zeros means the solution aka x intercept, meaning y=0
[tex]x_{1,\:2}=\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\cdot \:2\left(-15\right)}}{2\cdot \:2}[/tex]
=> according to quadratic formula
[tex]x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
where [tex]ax^2+bx+c=0[/tex]
=> [tex]x_{1,\:2}=\frac{-\left(-2\right)\pm \:2\sqrt{31}}{2\cdot \:2}[/tex]
simplify
[tex]x_1=\frac{-\left(-2\right)+2\sqrt{31}}{2\cdot \:2},\:x_2=\frac{-\left(-2\right)-2\sqrt{31}}{2\cdot \:2}[/tex]
[tex]x=\frac{1+\sqrt{31}}{2},\:x=\frac{1-\sqrt{31}}{2}[/tex]
Cannot simplify farther
There are four cards numbered 1 through 4. The number 2 card is chosen randomly and not replaced. Find the probability of choosing a second card that is the number 3.
Answer:
1/3
Step-by-step explanation:
since number 2 card was not replaced, we have;
probability of picking a second card, 3;
let S be number of sample space
n(S)= 4
n(3)= 1
Pr(3/2)= 1/3
(because since one was already chosen and n, the sample space would reduce)
Find the height of the cone. Round to the nearest
hundredths if necessary
Answer:
height of cone is 1.5 2 feet
hope it helps.
sovle active attachment
Answer:
p = 5/12
Step-by-step explanation:
-14+6p = -9-6p
Add 6p to each side
-14+6p+6p = -9-6p+6p
-14 +12p = -9
Add 14 to each side
-14+12p = -9 +14
12p =5
Divide by 12
12p/12 = 5/12
p =5/12
Stressed out just help
[tex]\\ \tt\longmapsto 132\pi=A4[/tex]
[tex]\\ \tt\longmapsto A=\dfrac{132\pi}{4}[/tex]
[tex]\\ \tt\longmapsto A=33\pi[/tex]
find the area of the
parallegram
Answer:
To find the area, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply. The base and height of a parallelogram must be perpendicular.
Step-by-step explanation:
hope it helps
please mark brainliest
A sample of Chlorine gas has a volume of 20 L and a pressure of 4 atm. What will the
pressure of the gas be if the volume is decreased to 5 L?
Step-by-step explanation:
[tex]from \: boyle 's \: law \\ P _{1}V _{1} = P _{2} V _{2} \\ (4 \times 20) = (P _{2} \times 5) \\ P _{2} = \frac{(4 \times 20)}{5} \\ P _{2} = 16 \: atm[/tex]
Thanks in advance for your help
Answer:
CA=P+2Q
Step-by-step explanation:
ANSWER PLEASEE. HELPPP
Answer:
23
Step-by-step explanation:
4
f(x)=7x-2 g(x)=x2+1 h(x)=3x (x at the corner of 3 ) a- find gh(2) b- find f-1(x)
Answer: 37, [tex]\frac{x+2}{7}[/tex]
Step-by-step explanation:
Given
[tex]f(x)=7x-2\\g(x)=x^2+1\\h(x)=3x[/tex]
now,
[tex]g(h(x))=(3x)^2+1\\g(h(x))=9x^2+1[/tex]
for x=2
[tex]g(h(2))=9\cdot (2)^2+1\\g(h(2))=36+1\\g(h(2))=37[/tex]
Inverse of [tex]f(x)[/tex] is given by
[tex]y=7x-2\\x=\dfrac{y+2}{7}\\\\f^{-1}(x)=\dfrac{x+2}{7}[/tex]