Answer:
b
Step-by-step explanation:
If a negative number times another number is positive, that means that the other number is also negative because multiplying two negative numbers gives you a positive number. Therefore, a - b must be negative. In order for the difference of two numbers to be negative, the number being subtracted must be bigger than the number it's being subtracted from. For example, in 2 - 7, 7 > 2 but 2 - 7 is negative, the same goes for 3 - 8, 4 - 10, etc. Therefore, b must be greater.
If AB = 45, find the length of AJ.
Answer:
AB= 45 --> In 1st space untill 5th space
So, 45/5 = 9 unit each space
AJ ?
Using 2 space 1st until 2nd
so, 9 unit × 2 = 18 unit
I hope this helps^_^
The sum of two consecutive cube numbers is 341. Work out the two numbers. (2 marks)
Answer:
63 and 53
Step-by-step explanation:
you could use trail and error. So:
13+23=9
33+43=91
63+73=559
53+63=341
there are how many times as many second in an hour as in a minute
Answer:
Step-by-step explanation:
1 hour=3600 sec
1 min=60 sec
[tex]x^2-x-6=0[/tex]
Answer:
x = 3 or x = -2
Step-by-step explanation:
x² - x - 6 = 0
(x - 3)(x + 2) = 0
x - 3 = 0 or x + 2 = 0
x = 3 or x = -2
please help :) Write the number shown in standard notation. 6.94 x 10 to the 6 power A. 694 B. 6,940,000 C. 694,000,000 D. 694,000
Answer:
B. 6,940,000
Step-by-step explanation:
6.94 x 10^6
Make the number "6.94" as 694.
Since we make this decimal point move 2 places to the right.
We should decrease 2 powers from 10^6
=> 694 x 10^4
=> 694 x 10000
=> 6,940,000
So, the answer is B
Let tan(x)=2/5 What is the value of tan(π−x) ?
Answer:
tan(π−2/5)
decimal form -0.42
Answer:
-0.42
Step-by-step explanation:
At the mall you spent a total of $170.86. You bought 2 pairs pf jeans for $39.95 each, a jacket for
$45.99, and shirts for $14.99 each. How many shirts did you buy?
Answer:
3
Step-by-step explanation:
Total Money Spent = $170.86
Cost of each jeans = $39.95x2 = 79.9
Cost of each Jacket = $45.99
Cost of each shirt = $14.99
=79.9 + 45.99
=125.89
=170.86 - 125.89
=44.97
=44.97 / 14.99
=3
Answer From Gauth Math
Given [tex]f(x)=-x^{2} +6x-11[/tex], find [tex]f(x-3)[/tex]
Answer:
See below.
Step-by-step explanation:
[tex]f(x)=-x^2+6x-11\\f(x-3)=-(x-3)^2+6(x-3)-11\\f(x-3)=-(x^2-6x+9)+6x-18-11\\f(x-3)=-x^2+6x-9+6x-29\\f(x-3)=-x^2+12x-38[/tex]
Calculation: One score is 20. Two score is 40. Three score and 5 is 65.
How many is four score and 7?
Answer:
answer for the question is 87
could someone please assist...it would really help alot...thank you:)
I just need help with 4.2 and 4.3
Problem 4.2
We're told that y = 2x is the equation of the tangent line through point Q.
Plug this into the equation of the circle (that was given at the very top of the page). Solve for x.
x^2 + y^2 - 18x - 6y + 45 = 0
x^2 + (2x)^2 - 18x - 6(2x) + 45 = 0 ... every "y" replaced with "2x"
x^2 + 4x^2 - 18x - 12x + 45 = 0
5x^2 - 30x + 45 = 0
5(x^2 - 6x + 9) = 0
5(x-3)^2 = 0
(x-3)^2 = 0
x-3 = 0
x = 3
This then means y = 2x = 2*3 = 6
The coordinates of point Q are (x,y) = (3,6)
----------
Answer: (3,6)===========================================================
Problem 4.3
We first need to find the location of point S. That will involve solving this system of equations
[tex]\begin{cases}x-2y+12=0\\y = 2x\end{cases}[/tex]
which represent the equations of lines SR and QS in that exact order.
Like before, we'll apply substitution to solve for x.
x-2y+12 = 0
x-2(2x)+12 = 0
x-4x+12 = 0
-3x+12 = 0
12 = 3x
12/3 = x
4 = x
x = 4
Which leads to y = 2x = 2*4 = 8
Point S is located at (4,8)
Point R is given to be located at (6,9)
Apply the distance formula for these two points to find the length of SR (aka the distance from S to R).
[tex]S = (x_1,y_1) = (4,8)\\\\R = (x_2,y_2) = (6,9)\\\\d = \text{Length of SR, aka distance from S to R}\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(4-6)^2 + (8-9)^2}\\\\d = \sqrt{(-2)^2 + (-1)^2}\\\\d = \sqrt{4 + 1}\\\\d = \sqrt{5}\\\\d \approx 2.236068\\\\[/tex]
The exact length is [tex]\sqrt{5}[/tex] and that approximates to roughly 2.236068 units.
----------
Answer:Exact length = [tex]\sqrt{5}[/tex] units
Approximate length = 2.236068 units
Which is the simplified form of the expression (602)(99) *•(104)(4??
1
o
О.
p12760
Answer:
[tex]q^{-30}[/tex]
Step-by-step explanation:
[tex](p^{2}q^{5})^{-4}\cdot(p^{-4}q^{5})^{-2}\\=p^{-8}q^{-20}\cdot p^{8}q^{-10}\\=p^{-8+8}\cdot q^{-20+-10}\\=q^{-30}\\[/tex]
factor the quadratic expression x2 +16x+48
Answer:
(x+4)(x+12)
Step-by-step explanation:
Answer:
(x +4) (x+12)
Step-by-step explanation:
product 48
Sum 16 ( 12 and 4)
(x2 +12x) +(4x +48)
=(x+4) (x+12)
Find all the solutions to \[\frac{x+4}{x+5} = \frac{x-5}{2x}.\][tex]Find all the solutions to\[\frac{x+4}{x+5} = \frac{x-5}{2x}.\][/tex]
Answer:
x = -4 + 3 i or x = -4 - 3 i
Step-by-step explanation:
Solve for x:
(x + 4)/(x + 5) = (x - 5)/(2 x)
Hint: | Multiply both sides by a polynomial to clear fractions.
Cross multiply:
2 x (x + 4) = (x - 5) (x + 5)
Hint: | Write the quadratic polynomial on the left hand side in standard form.
Expand out terms of the left hand side:
2 x^2 + 8 x = (x - 5) (x + 5)
Hint: | Write the quadratic polynomial on the right hand side in standard form.
Expand out terms of the right hand side:
2 x^2 + 8 x = x^2 - 25
Hint: | Move everything to the left hand side.
Subtract x^2 - 25 from both sides:
x^2 + 8 x + 25 = 0
Hint: | Using the quadratic formula, solve for x.
x = (-8 ± sqrt(8^2 - 4×25))/2 = (-8 ± sqrt(64 - 100))/2 = (-8 ± sqrt(-36))/2:
x = (-8 + sqrt(-36))/2 or x = (-8 - sqrt(-36))/2
Hint: | Express sqrt(-36) in terms of i.
sqrt(-36) = sqrt(-1) sqrt(36) = i sqrt(36):
x = (-8 + i sqrt(36))/2 or x = (-8 - i sqrt(36))/2
Hint: | Simplify radicals.
sqrt(36) = sqrt(4×9) = sqrt(2^2×3^2) = 2×3 = 6:
x = (-8 + i×6)/2 or x = (-8 - i×6)/2
Hint: | Factor the greatest common divisor (gcd) of -8, 6 i and 2 from -8 + 6 i.
Factor 2 from -8 + 6 i giving -8 + 6 i:
x = 1/2-8 + 6 i or x = (-8 - 6 i)/2
Hint: | Cancel common terms in the numerator and denominator.
(-8 + 6 i)/2 = -4 + 3 i:
x = -4 + 3 i or x = (-8 - 6 i)/2
Hint: | Factor the greatest common divisor (gcd) of -8, -6 i and 2 from -8 - 6 i.
Factor 2 from -8 - 6 i giving -8 - 6 i:
x = -4 + 3 i or x = 1/2-8 - 6 i
Hint: | Cancel common terms in the numerator and denominator.
(-8 - 6 i)/2 = -4 - 3 i:
Answer: x = -4 + 3 i or x = -4 - 3 i
solution for x+4 is equal to 10
Answer:
x = 6
Step-by-step explanation:
x + 4 = 10
x = 10 - 4
x = 6
hope it helps
Please help me with this problem. I will give brainliest!
Answer:
The number of people in one session that will spend within two standard deviations below the mean and one standard deviations above the mean time on Facespace is 394 people
Step-by-step explanation:
The given information are;
The mean time spent of Facespace, μ = 30 minutes
The standard deviation of the time spent daily, σ = 6 minutes
The number of people in one sitting, n = 2900 people
The time spent two standard deviations below the mean = 30 - 12 = 18 minutes
The time spent one standard deviations above the mean = 30 + 6 = 36 minutes
The Z-score values are;
[tex]Z=\dfrac{x-\mu }{\sigma }[/tex]
Which gives;
For x = 30
[tex]Z=\dfrac{36-30 }{6 } = 1[/tex]
For x = 18
[tex]Z=\dfrac{18-30 }{6 } = -2[/tex]
From the z-score table, we have;
P(Z > -2) = 1 - 0.02275 = 0.97725
P(Z < 1) = 0.84134
Therefore, the probability P(-2 < Z < 1) = 0.97725 - 0.84134 = 0.13591
Given that there are 2900 are on in one sitting, the number of them that will lie within two standard deviations below the mean and one standard deviations above the mean = 2900 × 0.13591 = 394.139 which is approximately 394 people.
ILL MARK BRAINIEST IF YOU DO THIS CORRECTLY!!!
Which of the following choices evaluates (-x)^2 when x=-1
Answers:
1)1
2)-2
3)-1
The Nguyen family and the Reed family each used their sprinklers last summer. The Nguyen family's sprinkler was used for 15 hours. The Reed family's sprinkler was used for 25 hours. There was a combined total output of 1175L of water. What was the water output rate for each sprinkler if the sum of the two rates was 55L per hour? Nguyenfamily'ssprinkler:Lperhour Reedfamily'ssprinkler:Lperhour
Answer:
Nguyen family's sprinkler: 20 L per hour Reed family's sprinkler: 35 L per hourStep-by-step explanation:
Let n and r represent the output in liters per hour of the Nguyen and Reed family sprinklers, respectively. Then we have ...
15n +25r = 1175 . . . . total sprinkler output
n + r = 55 . . . . . . . . . sum of two output rates
The second equation tells us we can substitute n = 55 -r into the first equation:
15(55 -r) +25r = 1175
10r = 1175 -825 . . . . . . subtract 825
r = 350/10 = 35 . . . . . . divide by 10
n - 55 -35 = 20 . . . . . . find n from r
Nguyen family's sprinkler: 20 L per hour
Reed family's sprinkler: 35 L per hour
If a = 6, which of the following is equal to a^-2?
-36
-12
1/6^2
6^2
Answer:
[tex]\frac{1}{6^{2} }[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^{m} }[/tex]
Given a = 6, then
[tex]6^{-2}[/tex] = [tex]\frac{1}{6^{2} }[/tex]
The 3rd option is correct i.e. if a = 6, then by the property of exponentiation, we can conclude that a⁻² = 1/6².
What is exponentiation?Exponentiation is a mathematical operation that involves two numbers, the base b, and the exponent or power n, and is pronounced as "b raised to the power of n." It is written as bⁿ and is pronounced as "b raised to the power of n."
When n is a positive integer, bⁿ = b × b × b ×...× b (n times)
and b⁻ⁿ = 1/bⁿ ...(1)
When n = 0, bⁿ = 1
How to solve this problem?Given that a = 6 and n = 2.
Using (1), we get
a⁻² = 6⁻² = 1/6²
Therefore, the 3rd option is correct i.e. if a = 6, then by the property of exponentiation, we can conclude that a⁻² = 1/6².
Know more about exponentiation here -
https://brainly.com/question/14513824
#SPJ2
for which values of x is A U B = Ø
Answer:
The first: 2 < x < 3Step-by-step explanation:
[tex]3x+4\geq13\\\\3x\geq9\\\\x\geq3\\\\A=\big<3\,,\ \infty)[/tex] [tex]\frac12x+3\leq4\\\\\frac12x\leq1\\\\x\leq2\\\\B=(-\infty\,,\ 2\big>[/tex]
[tex]A\cup B\not=\varnothing\quad for\ all\ x\in(-\infty\,, 2\big>\cup\big<3\,,\ \infty)[/tex]
so:
[tex]A\cup B=\varnothing\quad for\ x\in(\,2\,,\ 3\,)[/tex]
Answer:hi, the answer would be (a) or 2<x<3 hope this helps :)
Step-by-step explanation: i just took the test got em all correct
solution for 2x is equal to 10
Answer:
The answer is 5
Step-by-step explanation:
divide 10 by two and get 5
Answer:
[tex]x = 5[/tex]
Step-by-step explanation:
We have the equation [tex]2x = 10[/tex], we can try and isolate x by dividing both sides by 2.
[tex]2x \div 2 = 10\div2\\x = 5[/tex]
Hope this helped!
please answer Urgent!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1 4/9 x 2 3/8
Combine the radicals. 3√5-8√5+2√5
Answer: [tex]-3\sqrt{5}[/tex]
-3 times the square root of 5
=============================================
Explanation:
Let [tex]x = \sqrt{5}[/tex]
Replace all the root 5 terms with x and we go from
[tex]3\sqrt{5}-8\sqrt{5}+2\sqrt{5}[/tex]
to
[tex]3x-8x+2x[/tex]
From here, combine like terms to get
[tex]3x-8x+2x = -5x+2x = -3x[/tex]
and the last thing to do is replace the x with sqrt(5)
[tex]-3x = -3\sqrt{5}[/tex]
Meaning that,
[tex]3x-8x+2x = -3x[/tex]
[tex]3\sqrt{5}-8\sqrt{5}+2\sqrt{5} = -3\sqrt{5}[/tex]
. If a basketball player made 72 of 85 free throws, how many free throws could she expect to make in 200 attempts?
Answer:
169 of the 200 free throws
Step-by-step explanation:
You would expect her to make at least 169 of the 200 free throws
What is the equation, in point-slope form, of the line
that is parallel to the given line and passes through the
point (-3, 1)?
y-1=- Ž(x+3)
y-1=-{(x + 3)
y-1= {(x+3)
y-1= {(x+3)
Answer: [tex](y-1)=\dfrac{3}{2}(x+3)[/tex]
Step-by-step explanation:
Slope of the given line passing through (-2,-4) and (2,2) :
m= [tex]\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]=\dfrac{2-(-4)}{2-(-2)}\\\\=\dfrac{2+4}{2+2}=\dfrac{6}{4}\\\\=\dfrac{3}{2}[/tex]
Parallel lines has same slope . That means slope of required line would be [tex]\dfrac{3}{2}[/tex].
Equation of a line passing through (a,b) and has slope 'm' is given by :_
[tex](y-b)=m(x-a)[/tex]
Now, Equation of a line passing through(-3, 1) and has slope '[tex]\dfrac{3}{2}[/tex]' is given by
[tex](y-1)=\dfrac{3}{2}(x-(-3))\\\\\Rightarrow\ (y-1)=\dfrac{3}{2}(x+3)\ \ \to \text{Required equation in point slope form.}[/tex]
[tex]3-\sqrt{x} 1-16x^{2}[/tex]
Answer:
Step-by-step explanation:
This equation turns out to be a quartic. I'm not sure what should be done with. I can't believe you were asked to find its roots which are unbelievably complex. Here is a graph with the only 2 points that are easily found. If I am not solving what you need, please leave a note.
Simplify 2√28 - 3√63
Answer:
[tex]-5\sqrt{7}[/tex]
Step-by-step explanation:
2√28 - 3√63
4√7 - 9√7
- 5√7
Answer:
- 5√7
Step-by-step explanation:
if a is an even natural number such that a|208 and (a,b)=1, then find the value of b
this is gauss theroeam
Answer:
b=13
Step-by-step explanation:
2|208
2|104
2|52
2|26
|13
208=2^4×13=16×13
now (16,13)=1
as a is an even number so a=16
b=13
∵g.c.d of 16 and 13=1
or (16,13)=1
The Yogurt Packaging company is now re-designing their factory. They are going to construct a building in
the shape of a square box. Their contractor has told them that the diagonal braces needed to make the roof
are 150 feet long.
What would be the floor plan of the building? Label the diagonal braces
Answer:
[tex]\sqrt{\frac{150^2}{2}}=75\sqrt{2}\quad \left(\mathrm{Decimal:\quad }\:106.06601 \right)[/tex]
Step-by-step explanation:
[tex]a^{2} +b^{2} = 150^{2}[/tex]
a=b
[tex]2a^{2} = 150^{2}[/tex]
[tex]a =\sqrt{150^{2}/2 }[/tex]
Answer:
Step-by-step explanation:
We are using a top down view. We have a square building with side length s. The diagonal is 150 ft
Using the Pythagorean theorem
s^2 + s^2 = 150^2
2s^2 = 22500
s^2 =11250
Taking the square root of each side
sqrt(s^2) = sqrt(11250)
s = sqrt(6225*2)
s = 75 sqrt(2)
comeplete using distributive property (x+2x+3x)(x+4)
Answer:
6x^2 + 24x
Step-by-step explanation: