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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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.
can someone help i dont understand exponential functions
Answer:
1,3,4,6
Step-by-step explanation:
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 number is not a factor of 24
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]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.
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 the area of circle whose radius is 5
cm.
Answer:
22/7 ×5^2(area of circle is2πr^3
78.57
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 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
Help please! Thank you:)
Answer:
what kind of math is that?
Step-by-step explanation:
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! :)
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.
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
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 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
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
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]
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
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:
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)
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
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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.
¿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]
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.
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!
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-Chetan K
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]
_______
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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.
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:
