Answer:
In order to be considered a language, a system of communication must have vocabulary, grammar, syntax, and people who use and understand it. Mathematics meets this definition of a language. Linguists who don't consider math a language cite its use as a written rather than spoken form of communication
Which expression is equivalent to
(r-7)6?
Answer:
Step-by-step explanation:
The expression equivalent to
[tex]( r^{-7})^{6} \\is\\\frac{1}{r^{42} }[/tex]
Hope it helps :)
Find p and q .......
Answer:
Q = 9
P = 5
Step-by-step explanation:
can you help me with this, please?
9514 1404 393
Answer:
b, c, d -- (all but the first)
Step-by-step explanation:
The key take-away regarding what relation is or is not a function is the following: a function has no repeated x-values.
The x-values in the table are -3, -1, 0, 2, so any suggested ordered pair with one of those as an x-value cannot be added to the table. The only such pair in the list is the first one (-3, 4). It cannot be added. All of the remaining three pairs can be added and the relation will remain a function.
Identify the expression that has the largest value when a<-1
1-2a
a
a^2
a^3
Answer:
1-2a is the largest for -1 > a > -2.41
a^2 is the largest for -2.41 > a.
Step-by-step explanation:
We want to find the expression with the largest value.
Remember that the sign is important here, because:
1 is larger than -10
So we will look at the expressions that, when evaluated in a negative number, give a positive number.
The only two options in the case:
a < -1
are:
1-2a
and
a^2
So we have a linear equation and a quadratic equation.
We know that quadratic equations grow a lot faster than linear equations for all values larger than 1 (or minus one, because the sign does not matter).
if -1 < a < 1, a quadratic function grows really slow, but this is not the case.
So from now, we can guess that a^2 is larger.
But let's solve it graphically.
Let's define two functions:
f(a) = 1 - 2*a
g(a) = a^2
Now we can graph these two, and look at the region a < -1, and see which one is larger.
in the image, you can see that there is a small region from:
-1 > a > -2.41
Where the linear equation is larger, and for:
a < -2.41
The quadratic equation is larger.
A school system is reducing the amount of dumpster loads of trash removed each week. In week 5, there were 60 dumpster loads of waste removed. In week 10, there were 40 dumpster loads removed. Assume that the reduction in the amount of waste each week is linear. Write an equation in function form to show the amount of trash removed each week.
f(x) = −4x + 60
f(x) = 4x + 60
f(x) = −4x + 80
f(x) = 4x + 80
Answer:
f(x) = -4x + 80
Step-by-step explanation:
You are given two points,
(5, 60) and (10, 40)
in order to get the equation, let's use the form slope-intercept form
m = (y1 - y2) / (x1 - x2)
m = (60 - 40) / (5 - 10)
m = 20/-5
m = -4
Get the x intercept
y = mx + b
60 = (-4)(5) + b
b = 60+20
b = 80
so the equation is
y = -4x + 80
f(x) = -4x + 80
Answer:
c
Step-by-step explanation:
f(x)=-4x+80
A 960-square-foot apartment in New York City costs $540,000. What is the price per square foot? $
Answer:
The price per square foot is $468.75
Step-by-step explanation:
You would take the price and divide it by the square footage.
540,000
------------- = 468.75
960
Decrease £101 by 43%
Answer:
Step-by-step explanation:
100-43=57%
57/100 x 101
0.57 x 101
£57.57
or
43/100 x 101
0.43 x 101
43.43
100-43.43
=£57.57
The bearing of a house from point A is 319° . From a point B , 317m due east of A , the bearing of the house is 288° , How far is the house from A ?.
Please show workings and a diagram.
Answer:
190.2 mStep-by-step explanation:
Refer to diagram in the attachment (not drawn to scale)
A and B are mentioned points and H is the home location.
Bearing on AH is 319°, the angle between horizontal line and AH is:
319° - 270° = 49°Bearing on ABH is 288°, the angle between horizontal line and BH is:
288° - 270° = 18°The 49° is the exterior angle, so the angle H is:
49° - 18° = 31°Use the law of sines to find x, the distance AH:
x/sin 18° = 317/sin 31°x = 317 sin18° / sin 31°x = 190.2 m (rounded)Find the value of x.
Answer:
X = 9
okay If I'm wrong sry what's 9x3 it's 45 right ( me not using a caluctalter ) ( I didn't even spell that Right lol ) but anyways it's X=9
Original price of an SUV: $42,000.00
Tax: 3%
Answer:15
Step-by-step explanation:
What is the equation of the line that passes through the point (−1,−5) and has a slope of −3?
Answer:
[tex]y=-3x-8[/tex]
Step-by-step explanation:
Linear equations are typically organized in slope-intercept form:
[tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept (the value of y when the line crosses the y-axis)
1) Plug the slope (m) into the equation
We're given that the slope is -3. Plug -3 into the equation
[tex]y=-3x+b[/tex]
2) Solve for the y-intercept (b)
To solve for b, plug the given point (-1,-5) into the equation as (x,y).
[tex]-5=-3(-1)+b\\-5=3+b[/tex]
Subtract 3 from both sides
[tex]-5-3=3+b-3\\-8=b[/tex]
Therefore, the y-intercept is -8. Plug -8 back into our original equation as b
[tex]y=-3x-8[/tex]
I hope this helps!
If tan(A + B) = √3 and tan(A - B) = 1/√3; 0° < A + B ≤ 90° ; A > B, find A and B.
Pls answer it correctly..
Sol➜
We have, tan(A + B) = √3
⇒ tan(A + B) = tan60°
∴ A + B = 60° -----[i]
Again, tan(A - B) = 1/√3
⇒ tan(A - B) = tan30°
∴ A - B = 30° -----[ii]
Now, Adding [i] and [ii], we get
A + B + A - B = 60° + 30°
2A = 90° ⇒ A = 45°
Putting the value of A in [i], we have
45° + B = 60°
∴ B = 60° - 45° = 15°
Hence, A = 45° and B = 15°.
Answer:
[tex] \displaystyle A = {45}^{ \circ} \\ B = {15}^{ \circ}[/tex]
Step-by-step explanation:
we are given two equation and condition
[tex]\displaystyle \begin{cases}\tan(A+B)=\sqrt{3} \\ \tan(A - B) = \dfrac{1}{ \sqrt{3} } \end{cases}( {0}^{ \circ} < A+B < {90}^{ \circ} ) \: \text{and} \: A > B[/tex]
let's work with first equation
recall unit circle so A and B should be in Q:I
[tex] \displaystyle \: A+B = \arctan( \sqrt{3} )[/tex]
[tex] \displaystyle \: A+B = {60}^{ \circ} \cdots \: \text{I}[/tex]
let's work with second equation:
[tex] \displaystyle \: \tan(A - B) = \frac{1}{ \sqrt{3} } [/tex]
[tex] \displaystyle \: A - B = \arctan(\frac{1}{ \sqrt{3} } )[/tex]
[tex] \displaystyle \: A - B = {30}^{ \circ} \cdots \: \text{II}[/tex]
now let's use elimination method to figure out A and B
to do so combine equation I and II
[tex] \displaystyle \underline{\begin{array}{c c c}A+B = {60}^{ \circ} \\ A - B = {30}^{ \circ} \end{array}} \\ 2A = {90}^{ \circ} [/tex]
divide both sides by 2:
[tex] \displaystyle \: \frac{2 A}{2} = \frac{ {90}^{ \circ} }{2} \\ A = {45}^{ \circ} [/tex]
substitute the value of A to the second equation:
[tex] \displaystyle \: {45}^{ \circ} - B = {30}^{ \circ} [/tex]
cancel 60° from both sides:
[tex] \displaystyle \: - B = { - 15}^{ \circ} [/tex]
divide both sides by -1
[tex] \displaystyle \: B = {15 }^{ \circ} [/tex]
hence,
[tex] \displaystyle \: A = {45}^{ \circ} \\ B = {15}^{ \circ} [/tex]
The system shown is
• Inconsistent
• equivalent
© consistent
Answer:
Consistent
Step-by-step explanation:
A building casts a 48 foot shadow on the ground. If you stand at the end of the shadow and look towards the building and the sun, the angle of elevation to the sun is 35.3º. Which expression can you use to find the height of the building?
Answer:
5643/494-6494_x error45H5Y09B9,Gn94365
Step-by-step explanation:
ERRORRRRR
six teams are out on the field playing soccer. the team all have the same number of players.
Here's link to the answer:
cutt.us/tWGpn
Why couldn’t you live without your tv 5 sentences!!!!
Answer:
because would die of boredom .and i wouldn't have Netflix or Hulu.and i would have nothing to look forward. to when i come home from school i would have to just go and do homework. and without TV you would not have a news channel so you wouldn't know things to are important to life.
Step-by-step explanation:
Which TWO representations show the same function
(picture included)
Answer for brainliest.
Answer:
2880 in^3
Step-by-step explanation:
since 6 times 2 is 12 then you multiply 1440 times 2 as well :)
Mark me brainlyiest pls :)
Answer: [tex]720^{3}[/tex]
Step-by-step explanation: plz mark me brainliest
Plz help me with this question plz
Answer:
Quarters: 2 = 50 cents. 50cents
Dimes: 2 = 20 cents. 70cents
Nickels: 8 = 40 cents. $1.10
Hope this Helps!:)
Bryce tried to solve an equation step by step. \qquad\begin{aligned} \dfrac83&=3\left(c+\dfrac53\right)\\\\ \\ \dfrac83&=3c+\dfrac53&\green{\text{Step } 1}\\\\ \\ 1&=3c&\blue{\text{Step } 2}\\\\ \\ \dfrac13&=c&\purple{\text{Step } 3}\\\\ \end{aligned}
Answer:
Bryce is wrong in step 1 because he did not distribute 3 over 5/3
Explanation
Given the steps taken by bryce as shown, we are to find where he made an error
[tex]\qquad\begin{aligned} \dfrac83&=3\left(c+\dfrac53\right)\\\\ \\ \dfrac83&=3c+\dfrac53&\green{\text{Step } 1}\\\\ \\ 1&=3c&\blue{\text{Step } 2}\\\\ \\ \dfrac13&=c&\purple{\text{Step } 3}\\\\ \end{aligned}[/tex]
Given the expression;
[tex]\dfrac83&=3\left(c+\dfrac53\right)\\\\ \\[/tex]
Step 1:Expand the bracket using the distributive law;
8/3 = 3c + 3(5/3)
Simplify
8/3 = 3c + 15/3
Step 2: Subtract 15/3 from both sides
8/3 - 15/3 = 3c+15/3-15/3
(8-15)/3 = 3c
-7/3 = 3c
Step 3: Multiply both sides by 1/3
-7/3 * 1/3 = 3c * 1/3
-7/9 = c
Swap
c = -7/9
From the calculation, we can see that Bryce is wrong in step 1 because he did not distribute 3 over 5/3 thereby making his solution incorrect
The symbol used in the statement that relates the sides or angles looks like what?
please help! anybody know a math activity i could do for preschoolers? i have to make a sample as well but i just need an idea
help agin please number 8
Answer:
G
Step-by-step explanation:
5 + 7 > 9
12 > 9
5 + 9 > 7
14 > 7
7 + 9 > 5
16 > 5
Answer:
G as
5+7 more than 9
5+9 more than 7
7+9 more than 5
Find the quotient: 23 ½ ÷ ¼ =
Answers:
23 2/6
23
23 1/8
94
Answer:
The answer is d: 94
Step-by-step explanation:
John belongs to a boating club that rents sailboats for $60 for the first hour and $20 for each additional hour. After renting a boat one day, he owed the boating club a fee of $140.
Write and solve an equation to find how many hours he kept the boat.
Answer:
4 Hours
Step-by-step explanation:
The original boating fee is $60 then you add $20 per hour so 20 x 4 = 80
80+60=140 $140
Answer: 140=60+20x. He kept the boat for 4 hours
Step-by-step explanation:
x=hours
y=final cost and the final cost is $140
to find x you would use the equation: 140=60+20x
you would first subtract 60 from both sides and you would get:
80=20x
Now you would divide 20 from both sides
So x is 4
what is the 5th significant number of 24.98063
Answer:Look at the 2nd significant digit that the number has.
In a decimal, the first significant digit is the first non-zero digit. The 2nd significant digit is the digit after the first.
if it is less than 5 then round the number down by removing the rest of the number after the 1st significant digit and filling in with zeros;
if it is 5 or more then round the number up by adding one on to the 1st digit and removing the rest of the number and filling in with zeros.
Step-by-step explanation:
8726 rounds up to 9000, because the 2nd significant digit is a 7.
73.283 rounds down to 70 because the 2nd significant digit is a 3.
152 rounds up to 200 because the 2nd significant digit is a 5.
0.003826 rounds up to 0.004 because the 2nd significant digit is an 8.
0.60828 rounds down to 0.6 because the 2nd significant digit is a 0.
Does any one know how to do determining the GFC
Answer:
Yes, GCF stands for (greatest common factor)
so to find it do this:
List the prime factors of each number.
Circle every common prime factor — that is, every prime factor that's a factor of every number in the set.
Multiply all the circled numbers. The result is the GCF.
Step-by-step explanation:
Can someone tell me the answer, please?
Answer:
Rose bouquets
Step-by-step explanation:
Please mark me branliest?!?!
subtract (4x^2 - x+6 from (3x^2+5x-8 ) ?
Answer:
-x^2+6x+2
Step-by-step explanation:
1. Calculate
3x^2+5x-8-4x^2+x-6 = -x^2+6x+2
3y - 21 = 12x
Help please