Answer:
Step-by-step explanation:
10 to the power of -1 = 0.1
10 to the power of -2 = 0.01
0.01 as a fraction =
1/10000
because
10 = 1/10 or 10/100
1= 1/100
0.1 = 1/1000
0.01 - 1/10000
Answer:
1/100
Step-by-step explanation:
10^2 is 100 so 10^-2 would be 0.01 or 1/100
-8, -11, -14, -17, -20, ...
Find the 30th term of this Arithmetic Sequence.
Answer:
-95
Step-by-step explanation:
formula in finding this is -3
Arithmetic Sequnce:
-8, -11, -14 ,-17,-20,-23,-26,-29,-32,-35,-38,-41,-44,-47,-50,-53,-56,-59,-62,-65,-68,-71,-74,-77,-80,-83,-86,-89,-92,-95.
Carry on learning
Step-by-step explanation:
arithmetic sequence means that every new term is created by adding a certain constant to the previous term.
clearly, we see here, this constant is -3.
and we start with -8.
a1 = -8
a2 = a1 - 3 = -8 - 3 = -11
a3 = a2 - 3 = a1 - 2×3 = -8 - 6 = -14
so, it becomes clear that
an = an-1 - 3 = a1 - (n-1)×3 = -8 - (n-1)×3
so,
a30 = -8 - 29×3 = -95
2x+3y=15
x+y=6
work out the values of x and y.
Answer:
Step-by-step explanation:
Elimination sounds the easiest for y:
[tex]I - 2II: 2x+3y -2x -2y = 15-12 \rightarrow y= 3[/tex]
Now we got one value, let's replace in one of the two and find the second
[tex]II: x+(3)=6 \rightarrow x=3[/tex]
Answer:
[tex]2x + 3y = 15...(1) \\ x + y = 6...(2) \\ 2 \times (2) \\ 2x + 2y = 12...(3) \\ (1) - (3) \\ 0 + 3y - 2y = 15 - 12 \\ \color{red} \boxed{ y = 3 }\\ sub \: in \: (2) \\ x + 3 = 6 \rightarrow \: x = 6 - 3 \\ \color{green} \boxed{ x = 3 }[/tex]
Which is the correct quotient with a letter as the remainder?
Answer:
A
Step-by-step explanation:
876 divided by 43 = 20
and the remainder is 16
in the case of other options, the quotients are correct but the remainders are wrong.
Therefore, A is the option with both correct quotient and remainder.
PLEASE ANSWER NOWWWWW
340816.326531
Answer:
nearest whole number would be 340816
Answer:
340,816
Hope this helps :)
112781+89809030248234812394124-8
Answer:
See picture
Step-by-step explanation:
My calculator only allows numbers up to 15 digitss-
djsjdjcvfb
Here
Work
Picture
I just want the points so please tell me I didn't just waste my time :'D
During a sale, a store offered a 20% discount on a camera that originally sold for $650. After the sale, the discounted price of the camera was marked up by 20%. What was the price of the camera after the markup? Round to the nearest cent.
Answer:
$624
Step-by-step explanation:
650 * .80 = 520
520 * 1.20 = 624
Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options.
a. 2.3p – 10.1 = 6.4p – 4
b. 2.3p – 10.1 = 6.49p – 4
c. 230p – 1010 = 650p – 400 – p
b. 23p – 101 = 65p – 40 – p
e. 2.3p – 14.1 = 6.4p – 4
What is its inverse? F= {5,-1),(4,8),(6,8),(4,9)
Answer:
Hence, f −1 (x) = x/3 + 2/3 is the correct answer.
Step-by-step explanation:
Verify (f ∘ f−1) (x) = x
(f ∘ f−1) (x) = f [f −1 (x)]
= f (x/3 + 2/3)
⟹ 3(x/3 + 2/3) – 2
⟹ x + 2 – 2
= x
Hence, f −1 (x) = x/3 + 2/3 is the correct answer.
Step-by-step explanation:
m(gradient) =y2-y1/x2-x1
=8-(-1) /4-5
=8+1/-1
=9/-1
=-9
y-y1=m(x-x1)
y-(-1)=-9(x-5)
y+1=-9x+45
y=9x+45-1
y=9x+44(rule)
Inverse>y+44=9x
y+44/9=9x/9
x=y+44/9
Therefore inverse is y=x+44/9
solve for g.
5.1g = 35.7
Answer:
g=7
Step-by-step explanation:
5.1 times 7 is 35.7
Answer:
Step-by-step explanation:
5.1g = 35.7
g = 35.7 / 5.1
= 7.
Suppose that the function h is defined, for all real numbers, as follows
Does the following relationship represent a function?
8. You have been asked to repaint the lateral surface area of cone-shaped pylons used for soccer drills. If they have a radius of 5" and a height of 12", calculate the slant height and lateral surface area to be painted to the nearest square inch.??
Answer:
See answer below.
Step-by-step explanation:
LA = π rl
1st find l
The radius is 5" and the height is 12" l = ?
h and the r is the two legs in the right triangle when drawn in a cone.
Use a² + b² = c² ⇔ h² + r² = l²
12² + 5² = l²
144 + 25 = l²
169 = l²
[tex]\sqrt{169} = l[/tex]
13 = l
Formula for LA = π r l
LA = 3.14 × 5 ×13 or with a calculator LA = π × 5 × 13
LA = 204.1 sq.in LA = 204.2035225 sq. in
I use 3.14 = for π but you know what the teacher uses in class.
Why do meats and vegetables cook much more quickly when there are metal skewers sticking through them
Answer: Having a metal skewer in the middle increases the surface area that is exposed to heat.
Step-by-step explanation:
By having the inside and outside of food touching a heat source as the skewer heats up, the inside and outside are cooking at the same time.
A person wins $25,000 on a game show and a trip to Costa Rica worth $5,700. Does he have any tax obligation from these winnings?
Answer:
Yes
Step-by-step explanation: All of these winnings become part of his gross income.
What are the ordered pairs of the
solutions for this system of equations?
f(x) = x2 – 5x + 3; f(x) = -3
(2, [?]); ( ), ( )
Given that
[tex]f(x) = -3\\\\\implies x^2 -5x +3 = -3 \\\\\implies x^2 -5x +6=0\\\\\implies x^2 - 3x -2x +6 =0\\\\\implies x(x-3) -2(x-3) =0\\\\\implies (x-2)(x-3)=0\\\\\implies x =2~ \text{or} ~ x =3[/tex]
Answer:
(2, - 3 ) and (3, - 3 )
Step-by-step explanation:
f(x) = x² - 5x + 3 and f(x) = - 3 , then equating
x² - 5x + 3 = - 3 ( add 3 to both sides )
x² - 5x + 6 = 0 ← in standard form
(x - 2)(x - 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x - 3 = 0 ⇒ x = 3
solutions are (2, - 3 ) and (3, - 3 )
Q.10). ABC is a triangle right angled at C. A line through mid point M of hypotenuse AB and parallel to BC intersects AC at D.
Show that:
(I) D is the mid point of AC.
(ii) MD ⏊ AC.
(iii) CM = MA = 1/2 AB
Answer:
In attachment I have answered this problem.↑↑
Hope this helps.
If you have any doubt, then you can ask me in the comments.
what is the equation of a line when m=-7 and b=-8
What is the value of y?
Answer:
40°
Step-by-step explanation:
We know that a triangle is equal to 180°
Since one angle is 50° we can figure out that the rest of the angles are equal to 130° (180° - 50°)
If we use 40° then 2·(40°) = 80°
and the second angle is 40° + 10° = 50°
if we add all the angles (80° + 50° + 50°) we get 180° which is correct.
A line passes through the points (4, 4) and (6, 10). What is its equation in slope-intercept form?
Find the 60th term of the arithmetic sequence -10, 8, 26,
Answer:
a₆₀ = 1052
Step-by-step explanation:
There is a common difference between consecutive terms , that is
8 - (- 10) = 26 - 8 = 18
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 10 and d = 18 , then
a₆₀ = - 10 + (59 × 18) = - 10 + 1062 = 1052
Answer:
a(60) = 1052
Step-by-step explanation:
Note that when going from -10 to 8 we make a jump of 18; similarly, going from 8 to 26, we make a jump of 18 again. Thus, the common difference in this arithmetic sequence is 18, and given that the first term is -10, the sequence must be:
a(n) = -10 + 18(n - 1)
Therefore, the 60th term is
a(60) = -10 + 18(59), or
a(60) = 1052
If the area of a rectangle is x^2+5x+6, and x represents 15 cm, what is the perimeter of the rectangle?
Answer:
To calculate the length and width of a rectangle first, calculate the value of width 'w' by using the area of rectangle formula that is, 'w = A/l'.
Step-by-step explanation:
Question is atttached below
Answer:
A. 20·60
Step-by-step explanation:
The product of force and distance is ...
[tex]F\cdot D=(20\text{ m})\cdot\dfrac{60\text{ kg$\cdot$m}}{\text{s}^2}=\dfrac{20\cdot60\text{ kg$\cdot$m$^2$}}{\text{s}^2}=\boxed{20\cdot60\text{ J}}[/tex]
Somebody, please help me with this MATH question.
what is the proportional relationship represented by this table?
the shown bellow question answer
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Are of the given figure is ~
[tex] \boxed{ 50.28 \: \: cm {}^{2} }[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
The area of the compound shape is equal to ~
Area of rectangle + Area of semi - circle
let's find the Area of rectangle ~
[tex]length \times width[/tex][tex]11 \times 4[/tex][tex]44 \: \: {cm}^{2} [/tex]now, let's find the Area of Semicircle ~
[tex] \dfrac{ \pi{r}^{2} }{2} [/tex][tex] \dfrac{3.14 \times 2 \times 2}{2}[/tex][tex]6.28 \: \: c {m}^{2} [/tex]So, Area of the given figure is equal to ~
[tex]44 + 6.28[/tex][tex]50.28 \: \: cm {}^{2} [/tex]
Evaluate each question below
Answer:
b=29 a=5.5 n=-13 r=12
Step-by-step explanation:
a: 5+8(4)=5+24=29
b: 3-5(-0.5)=3+2.5=5.5
c: 2(-2)^2-5=2(-4)-5=-8-5=-13
d= -3(-1-3)=-3(-4)=12
substitute the variable with the number and pedmas
variable is the letters in the equation: y=5+8x
the problem solving plan indentify step to organize your information which of the following answers choices are included in the steps to organize your information?
A) organize the problem and find the question
B) solve the problem and change your strategy if necessary
C) write the facts, organize your thoughts and define your strategy
D) organize the step and underline the question
that's the answer Just look at the picture's
write the value of (2+root3)(2-root3)
Answer: 1
Step-by-step explanation: use foil and get 4-3.
this graph shows how much lisa earns babysitting compared with thge number of hours she works
Answer:
For every hour she earns 12$
Step-by-step explanation:
If your question looks like the picture, then the answer above is the right answer. If it's not, oh well, show the picture next time!
The length of a rectangle is 20cm longer than its width.
The area of the rectangle is 1000cm?
Find the width and length of the rectangle.
Give your answers in surd form.
[tex]\text{Width} ~= w ~ cm \\\\ \text{Length}~,l = (20+ w) ~ cm \\\\\text{Area of rectangle} = 1000 cm^2\\\\\\\text{Now,}\\\\l \cdot w = 1000\\\\\implies (20 + w) w= 1000\\\\\implies w^2 +20w -1000=0\\\\\\\implies w = \dfrac{-20 \pm \sqrt{20^2 - 4 \cdot 1 \cdot (-1000)}}{2 \cdot 1}\\\\\\\implies w = \dfrac{-20 \pm \sqrt{4400}}{2}= \dfrac{-20\pm 20\sqrt{11}}2 = -10 \pm 10\sqrt{11}\\\\\text{Width cannot be negative so,} \\\\w= -10+10\sqrt{11}=10\left(\sqrt{11} - 1 \right) ~ cm\\\\[/tex]
[tex]\text{And length,}[/tex]
[tex]l= 20+ 10\left(\sqrt{11} - 1} \right) = 20 + 10\sqrt{11} - 10 = 10 + 10\sqrt{11} = 10 \left(1+ \sqrt{11} \right)~ cm[/tex]