Answer:
7
Step-by-step explanation:
7.11 × 10^7
The number 71,100,000 can be written in scientific notation as 7.11×10⁷ after using the concept of the scientific form of a number.
What is the number?
A number is a mathematical entity that can be used to count, measure, or name things. For an example, 1, 2, 56 etc. are the numbers.
It is given that:
The number is 71,100,000
After converting it into the scientific notation:
7.11×10⁷
Which is equal to 71,100,000
Thus, the number 71,100,000 can be written in scientific notation as 7.11×10⁷ after using the concept of the scientific form of a number.
Learn more about the number here:
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Looking into the sky one night, Tori wondered how far into outer space she would get if she drove a car for 3.21 × 103 hours at a rate of 70mph. She calculated and determined that a car travelling at 70 mph covers approximately 1.13 × 105 meters per hour.
Tori wrote this expression to determine the distance she would travel into outer space.
(3.21 × 103)(1.13 × 105)
Estimate the distance travelled.
Almost-equals30 × 1015 meters
Almost-equals3 × 108 meters
Almost-equals30 × 108 meters
Almost-equals3 × 1015 meters
Answer:
the answer is B
Step-by-step explanation:
smort :)
Answer:
bbbbbbb
Step-by-step explanation:
What number is not a factor of 24
Please help me with this
Answer:
6y
Step-by-step explanation:
The two figure are squares with the same area
side = √area = √y^2 = y (with y>0 because a length can‘t be negative)
perimeter = side * 6 = y * 6 = 6y
Owen bought 4 pizzas for a class party. If each person ate 1/5 of a pizza, how many people could be served? Division and multiplecation please right the correct equation.
9514 1404 393
Answer:
20 people
Step-by-step explanation:
Let n represent the number of people served. If each ate 1/5 of a pizza and there are 4 pizzas, we have ...
(1/5)·n = 4
The solution can be found by multiplying both sides of the equation by 5.
5(1/5)n = 5(4)
n = 20
20 people could be served.
Two students are reading a book. Keith reads 6 pages a day. Tameka reads 5 pages a day, but she starts sooner and has already read 15 pages.
Part A
Write a system of equations to represent the situation, using d for days and p for pages.
Part B
Graph the system of equations. (Click to draw on the graph.)
Question 3
Part C
Will Keith and Tameka ever be on the same page on the same day? Explain.
Answer: keith
Step-by-step explanation:
The system of equations to represent the number of pages read per day by Keith and Tameka, using d for days and p for pages are,
p = 6d
p = 5d + 15
Since we know that,
A system of equations is the set of equations in which the finite set of equations is present for which the common solution is sought.
Two students are reading a book. Keith reads 6 pages a day.
The equation for Keith, where d for days and p for pages can be given as,
p = 6xd
p = 6d
Tameka reads 5 pages a day, but he starts sooner and has already read 15 pages. The equation for Tameka, where d for days and p for pages, can be given as,
p = 5xd + 15
p = 5d + 15
Hence, the system of equations to represent the number of pages read per day by Keith and Tameka, using d for days and p for pages are,
p = 6d
p = 5d + 15
Learn more about the system of equations here;
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A recursively defined sequence is shown below. a1 = 5 an+ 1 = 2an -7 The value of a4 is
1. -9
2. -1
3. 8
4. 15
The value of a₄ is -9
What is recursively defined sequence?Recursively defined sequence is the sequence where every term is calculated by the use of the one or more previous term given.
In this given problem
a₁ = 5
given relation between term is [tex]a_{n+1}[/tex] = 2aₙ -7
using this relation
take n=1
a₂ = 2a₁-7 =(2*5)-7=3
then by taking n=2
a₃ = 2a₂-7 =(2*3)-7=-1
then taking n=3
a₄= 2a₃-7 =(2*(-1))-7= -9
so the final answer will be a₄ = -9
learn more about Recursively defined sequence
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what is b
−2.9+ b/0.1 = − 39.9
Answer:
b = - 1.09
Step-by-step explanation:
- 2.9 + b ÷ 0.1 = - 39.9
- 2.9 + b ÷ 0.1 × 0.1 = - 39.9 × 0.1
- 2.9 + b = - 3.99
- 2.9 + 2.9 + b = - 3.99 + 2.9
b = - 1.09
Answer:
Exact form
b=-37/10
Decimal form
b=-3.7
Mixed Number form
b+-3 7/10
Step-by-step explanation:
-2.9+b/1/10+-39.9
-2.9+10b+-39.9
10b=-39.9+2.9
10b=-37
b=-37/10
can someone help i dont understand exponential functions
Answer:
1,3,4,6
Step-by-step explanation:
Write this percentage as a fraction in its simplest form.
30%
Answer:
30/100
Step-by-step explanation:
30% as a fraction is 3/10; In simplest form is 30% = 30/100.
Find the solution of y = 6x + 1 for x = 5
Answer:
y = 31 when x = 5
Step-by-step explanation:
We are to evaluate (not solve) the function y = 6 x + 1 for x = 5.
Substituting 5 for x in y = 6x + 1, we get
y = 6(5) + 1 = 31
y = 31 when x = 5
[tex] \quad\quad \quad\quad\tt{y = 6x + 1}[/tex]
[tex] \quad\quad \quad\quad\tt{y = 6(5) + 1}[/tex]
[tex] \quad\quad \quad\quad\tt{y = 30 + 1}[/tex]
[tex] \quad\quad \quad\quad \boxed{\tt{y = 31}}[/tex]
Hence, the final answer is:[tex]\quad\quad \quad\quad \boxed{\tt \color{green}{y = 31}}[/tex]
_______
#LetsStudy
To earn a bonus in a video game, you must find at least 60% of the hidden gems. You find 25 out of 40 gems. Do you get the bonus? Explain.
Express 0.0003754 in scientific notation
Answer:
Scientific Notation: 3754 × [tex]10^{-4}[/tex]
Step-by-step explanation:
Have a great summer :)
Answer:
3.754 • 10^-4
Step-by-step explanation:
Put decimal point back until in front of a whole number( not zero ;D). So it would be 3.754 and since it was going left or backwards the exponent would be negative. Therefore, giving our answer!
Hope this helped, good luck! :)
Simplify this expression.
[tex]2\sqrt5(13+\sqrt2)[/tex]
Step-by-step explanation:
everything can be found in the picture
Answer:
[tex]\small{\boxed{\tt{2 \sqrt{5} (13 + \sqrt{2} = 26 \sqrt{5} + 2 \sqrt{10} = 64.3}}}[/tex]
Step-by-step explanation:
Given : Expression
[tex]2 \sqrt{5} (13 + \sqrt{2} )[/tex]
To find : Simplify the expression
Solution :
Step 1 - Write the expression
[tex]2 \sqrt{5} (13 + \sqrt{2} )[/tex]
Step 2 - Apply distributive property,
[tex]a(b + c) = a × b + a \times c[/tex]
[tex] = 2 \sqrt{5} \times 13 + 2 \sqrt{5 } \times \sqrt{2} [/tex]
Step 3 - Apply square root property,
[tex] \sqrt{x} \times \sqrt{y} = \sqrt{xy} [/tex]
[tex] = 26 \sqrt{5} + 2 \sqrt{10} [/tex]
or to simplify more substitute the value of [tex] \sqrt{5} = 2.23[/tex] and [tex] \sqrt{10} = 3.16[/tex]
Simplification-
[tex] = 26(2.23) + 2(3.16)[/tex]
[tex]= 57.98 + 6.32[/tex]
[tex]= 64.3[/tex]MARKING BRAINLIEST
PLS HELP
Answer:
x ^2 y √ 3 y
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
A triangle has sides with lengths of 40 yards, 75 yards, and 85 yards. Is it a right triangle?
Answer:
Yes
Step-by-step explanation:
To check, the squared values of the two smaller lengths must equal the squared value of the biggest length (Pythagorean Theorem)
40² + 75² = 85²
1600 + 5625 = or ≠ 7225
7225 = 7225
It is equivalent so it is correct.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Factorise completely the expression below: 6ax+12by-9ay-8bx
Answer:
Step-by-step explanation:
6ax +12by -9ay -8bx
=6ax -8bx -9ay +12by
=2x(3a -4b)-3y(3a -4b)
=(2x-3y)(3a-4b)
Find the volume. It’s a cilinder
6 in.
10 in
Answer:1130.97
Step-by-step explanation:
V=πr2h=π·62·10≈1130.97336
Help please! Thank you:)
Answer:
what kind of math is that?
Step-by-step explanation:
A pizza parlor advertises pizza options. They offer 7 toppings and allow up to 4 on each pizza. Write an expression that represents this situation.
A: 7!
B: 7!/3!
C: 7!/4!3!
D: 4!3!/7!
Explanation:
This is after using the nCr combination formula
[tex]_n C _r = \frac{n!}{r!*(n-r)!}[/tex]
where in this case n = 7 and r = 4. Note how n-r = 7-4 = 3.
We use nCr instead of nPr because the order of the toppings doesn't matter.
If f(x)= 5x^5+1, then what is the remainder when f(x) is divided by x+1?
Answer:
Remainder = (-4)
Step-by-step explanation:
f(x) = 5[tex]x^{5} + 1[/tex]
x + 1 = 0
x = -1
f(-1) = 5*[tex](-1)^{5} + 1[/tex]
= 5 * (-1) + 1
= -5 +1
= -4
PLEASE HELP I'LL GIVE BRAINLIEST!!! Tysm, it's urgent plz
The force, F (Newtons), between two
objects is inversely proportional to the
square of the distance, d (metres),
between them.
The force is 0.35 Newtons when the
distance between the objects is 8 metres,
Work out F (rounded to 2 DP) when
d = 7 metres.
F
Newtons
Answer:
F=0.46N
Step-by-step explanation:
[tex]F[/tex]∝[tex]\frac{1}{d^{2}}[/tex],
[tex]F=\frac{k}{d^{2} } \\[/tex]
[tex]F=0.35N, d=8m\\[/tex]
[tex]0.35=\frac{k}{8^{2} }[/tex]
[tex]k=0.35\times 8^{2} \\\\k=22.4\\F=\frac{22.4}{d^{2} } \\d=7m, F=\frac{22.4}{7^{2} } =0.46N[/tex]
Find all angles, 0≤θ<360, that satisfy the equation below, to the nearest 10th of a degree. 4tan^2 θ+tanθ=−4tanθ−1
Answer:
135 and 315degrees
Step-by-step explanation:
Given the expression
4tan²θ+tanθ=−4tanθ−1
Equate to zero
4tan²θ+tanθ+4tanθ+1 = 0
4tan²θ+5tanθ+1 = 0
Let x = tanθ
4x²+5x+1 = 0
Factorize;
4x²+4x+x+1 = 0
4x(x+1)+1(x+1) = 0
4x+1 = 0 and x+1 = 0
4x = -1 and x = -1
x = -1/4 and -1
Since x = tanθ
-1 =tanθ
θ = arctan(-1)
θ = -45degrees
Since tan is negative in the 2nd and fourth quadrant;
In the second quadrant
θ = 180 - 45 = 135degrees
In the fourth quadrant;
θ = 360 - 45 = 315degrees
Hence the required angles are 135 and 315degrees
Find the area of circle whose radius is 5
cm.
Answer:
22/7 ×5^2(area of circle is2πr^3
78.57
in the equation 50=2y-5y^2 what is the value of c
Answer:
No solution because there is no c variable
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
the first person to solve tgis will receive brainliest. 2x-3=8
[tex]\longrightarrow{\green{x\:=5.5}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]2x - 3 = 8 \\ \\⇝2x = 8 + 3 \\ \\⇝2x = 11 \\ \\⇝x = \frac{11}{2} \\ \\⇝x = 5.5[/tex]
To verify:-[tex]2x - 3 = 8 \\ \\ ➪ \: 2 \times 5.5 - 3 = 8 \\ \\➪ \: 11 - 3 = 8 \\ \\➪ \: 8 = 8 \\ \\ ➪ \: L.H.S.=R. H. S[/tex]
Hence verified. ✔
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]
¿En que orden se deben escribir las funciones, para aplicar la integral definida cuando se desea calcular el área?
Answer:
Si querés calcular el área entre las funciones f(x) y g(x) en el rango (a, b), usualmente se calcula la integral de la función más grande en el intervalo menos la función más pequeña en el intervalo, es decir, si:
f(x) > g(x) para todo x ∈ (a, b)
Entonces calculamos:
[tex]\int\limits^b_a {(f(x) - g(x))} \, dx[/tex]
Puesto que el área se define como la encerrada por las dos curvas, y si lo hiciéramos de otro modo, las curvas no encerrarían ningun área.
Ahora, si no se cumple lo anterior, es decir, g(x) > f(x) en algún dado intervalo, entonces separamos la integral en distintas partes de tal forma que siempre definamos un área positiva.
es decir, si:
f(x) ≥ g(x) para x ∈ (a, n)
g(x) ≥ f(x) para x ∈ (n, b)
entonces el área estará dada por:
[tex]\int\limits^n_a {f(x) - g(x)}dx \, +\int\limits^b_n {g(x) - f(x)} \, dx[/tex]
True or False? The blue radius is perpendicular to the green cord.
Answer:
true
Step-by-step explanation:
Answer:
False. if it was perpendicular than the segments would be equal
Step-by-step explanation:
what is the length of side x in the above right triangle
Answer:
its answer will be 9.first by using phythagorus theorem h^2=p^2+b^2'then h=15,p=12and b=x. again by putting the values of h ,p and b we get ,(15)^2=(12)^2+x^2. 225=144+x^2, x^2=225-144, x^2=81,x=√81,x=9 answer
A member has a monthly membership for $480 per month. They also have a 25% discount on top of the monthly price and have paid for 1 month of service to date. In an attempt to retain the member, you offer a 40% discount instead. With the new discount and since the member already paid for a month of service, you will need to provide a refund for the difference. How much would you refund for the month already paid?
Answer:
$72
Step-by-step explanation:
For the first month, they got a 25% discount, aka $120 off. Now that it's changed to 40%, you need to find how much 40% of $480 is.
480 x .4 = 192
40% of $480 is $192. The next step is to find the difference between $192 and $120.
192 - 120 = 72
Therefore, you need to give them of refund of $72.
What is the area of the polygon enter your answer in the box
43.5 units2
45.5 units2
56.5 units2
49.5 units2
Answer:
Option (1)
Step-by-step explanation:
Area of the polygon = Area of CDE + Area of EFG + Area of ABCF
Area of triangle CDE = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(3)(2)[/tex]
= 3 units²
Area of ΔCDE = [tex]\frac{1}{2}(5)(1)[/tex]
= 2.5 units²
Area of trapezoid ABCF = [tex]\frac{1}{2}(b_1+b_2)h[/tex]
= [tex]\frac{1}{2}(8+11)(4)[/tex]
= 38 units²
Area of the given polygon = 3 + 2.5 + 38
= 43.5 units²
Therefore, Option (1) will be the correct option.