Answer:
The domain of "Per Night Stay" would amount to $125 surcharge by day amounting to $3000 total cost function
Step-by-step explanation:
1. Choose the correct algebraic equation to represent: the amount decreased by $9 is $42.
9-m=42
9-m
m-9=42
m-9
Answer:
m-9=42
Step-by-step explanation:
An amount subtracted by $9 is $42.
(an amount is unknown, so it is represented with variable, m)
m-9=42
Select the correct answer.
Consider the graph below. Which of the following piecewise functions is shown in the given graph?
Answer:
f(x)=x^2+3
[tex]f(x) = x^{2} + 3 \: \: \: \: \: \: \: \: \: \: \: \: \: \: x < 1 \\ \\ f(x) = - 2x + 5 \: \: \: \: \: \: \: \: \: \: \: \: \: x \geqslant 1[/tex]
write the equation in point -slope form using this graph
Step-by-step explanation:
Step 1: Write the equation using point-slope form
Point-Slope Form: [tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]
[tex]y-0=m(x-3)[/tex]
[tex]y = m(x-3)[/tex]
Step 2: Find the slope
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]m=\frac{-2-0}{-2-(-3)}[/tex]
[tex]m=\frac{-2}{1}[/tex]
[tex]m=-2[/tex]
Step 3: Combine them together
[tex]y = m(x - 3)[/tex]
y = -2(x - 3)
IF NEEDED: Completely factor
[tex]y = (-2 * x) + (-2 * -3)[/tex]
y = -2x + 6
Find the length of side x in simplest radical form with a rational denominator.
4.
609
30°
x
C
Answer: <=
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attempt 1 out of
I really need help with this
Answer:
x=2
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp/ hyp
sin 30 = x/4
4 sin 30 =x
4 ( 1/2) =x
2 =x
find the value of the trigonometric ratio. make sure to simplify if its needed.
Answer:
12/5
Step-by-step explanation:
Tan Z
= opposite/adjacent
= 24/10
= 12/5
Answered by GAUTHMATH
A savings account for a car is set up with an initial balance of $2500, and $100 is added every month
(no other transactions occur on the account).
1. Write the expression:
2. Write the equation equal to(=) $3600 car goal:
3. How many months will it take?
Answer:
11
Step-by-step explanation:
3600 = 100x+2500
1100 = 100x
x = 11
Classify each number as rational or irrational.
Answer:
π - irrational
0.04053.. - irrational
0.76 - rational
3.565565565 - irrational
-17 - rational
3.275 - rational
Step-by-step explanation:
rational = can express as fraction
irrational = cannot
The area of an isosceles triangle is 52 square inches. The height is 8 in. What is the length of the base?
Answer:
base = 13 in
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here A = 52 and h = 8 , then
[tex]\frac{1}{2}[/tex] b × 8 = 52
4b = 52 ( divide both sides by 4 )
b = 13
y' = (x+1/[tex]\sqrt{x^{2} +1[/tex]
Answer:
Solving for x (rearranging) you get:
(x^3+x+(x^2+1)^1/2)/x^2+1=y
Step-by-step explanation:
Solve for x by simplifying both sides of the equation and solving for y by isolating y
WHO KNOWS HOW TO DO THIS!!!!!
Answer:
Step-by-step explanation:
Scale factor is 2. 6/3=2, 8/4=2. So it’s 1/2
Find the missing the side of the triangle
Step-by-step explanation:
Because it is a 45-45-90 triangle (we know this because two legs are congruent) x witll be [tex]\sqrt{10} *\sqrt{2}[/tex]
help me please its confusing neeed help
Answer:
1.94 mm
Step-by-step explanation:
V = pi(r^2)h
V/pi(h) = r^2
r = sqrt(V/pi(h))
r = sqrt(200/pi(17))
r = 1.94 mm
Mr mohapi sells your school 500 chairs for 22500. Mr shuma sells your school 200 chairs for 9600. Who sells cheaper chairs
Answer:
Mr Mohapi is selling cheaper chairs
Step-by-step explanation:
Find the cost per chair from both prices by dividing the total price by the number of chairs:
22500/500
= 45
9600/200
= 48
So, Mr Mohapi is selling at a price of $45 per chair and Mr Shuma is selling at a price of $48 per chair.
Since 45 is smaller than 48, Mr Mohapi's chairs are a better deal.
Mr Mohapi is selling cheaper chairs.
Write in point-slope form the equation of the line containing the point (4,5) and is perpendicular to the line y=6x-1
Answer:
y - 5 = -1/6 (x - 4)
Step-by-step explanation:
y = 6x - 1 y = -1/6x + b
y - 5 = -1/6 (x - 4)
please explain this to me?
Answer:
14cm + 3cm =17cm
Step-by-step explanation:
now find the area
Is the statement at the top true or false
Answer:
false
Step-by-step explanation:
these angles are horizonal
using trig to solve for missing angle
Answer:
30.7
Step-by-step explanation:
Recall: SOH CAH TOA
We are to solve for the missing side
First, label the sides:
Reference angle (θ) = 61°
x = Opposite (this is opposite to the reference angle)
17 = Adjacent
Hypotenuse = side opposite to right angle
Apply TOA, which is:
Tan θ = Opp/Adj
Plug in the values
Tan 61° = x/17
17*Tan 61° = x
30.6688118 = x
x ≈ 30.7 (approximated to nearest tenth)
Determine the measure of the interior angle at vertex F
Answer:
72
Step-by-step explanation:
The interior angles of a 6 sided figure add to (n-2) * 180
where n is the number of sides
(6-2) *180
4*180
720
2x+4x+4x+4x+4x+2x = 720
20x = 720
Divide by 20
20x/20 = 720/20
x =36
We want <F
<F = 2x = 2*36 = 72
Can anyone help plz?
Answer:
just add a small amount and and square the new number
between 2.82 and 2.83 seems a bit closer
Step-by-step explanation:
x x^2
2.8 7.84
2.81 7.8961
2.82 7.9524
2.83 8.0089
2.84 8.0656
2.85 8.1225
2.86 8.1796
2.87 8.2369
What is the volume of the pyramid below?
Answer:
96m³
Step-by-step explanation:
Base area = 8×6/2 = 24 m²
Height = 12 m
Volume of a pyramid = 1/3 × Base area × Height
= 1/3 × 24 × 12
= 288/3
= 96 m³
Answered by GAUTHMATH
find the missing side.
Answer:
24.8
Step-by-step explanation:
sin75 = 24/x
x = 24/sin75 = 24.8466 = 24.8 (nearest tenth)
a stone has a mass of 10kg on earth. calculate the weight on the moon. accelaration on the moon is 10 m/s2
Answer:
Weight of the stone is 100 N
Step-by-step explanation:
[tex]{ \boxed{ \bf{weight = mass \times acceleration}}} \\ { \sf{weight = 10 \times 10}} \\ { \sf{weight = 100 \: newtons}}[/tex]
please please please answer!! will give brainliest and extra points!
Solve the equation.
Distribute: 4-2(x+7) = 3(x+5)
Combine Terms: 4-2x-14 = 3×+15
-10-2×= 3×+15
+10 +10
_______________
-2× = 3× + 25
-3x -3x
___________________
-5× = +25
÷ -5 ÷ -5
_____________________
ANSWER : x = -5
Part 2 : What is the value of x for the given equation ?
4-2(×+7)=3(×+5)
ANSWER : × = -5
Answer:
- 5
Step-by-step explanation:
Solve for x
4-2(×+7)=3(×+5)
We open the bracket :
4 - 2x - 14 = 3x + 15
Collect like terms
-2x - 3x = 15 + 14 - 4
-5x = 25
Divide both sides by - 5
-5x/-5 = 25 / - 5
x = - 5
6. Márcia cortou quatro tiras retangulares de mesma largura, cada qual de um dos lados de uma folha de papel que media 30 cm por 40 cm. O pedaço de papel que sobrou tem 68% da área da folha original. Qual é a largura das tiras? A) 5 cm B) 4 cm C) 3 cm D) 2 cm E) 1 cm 40 30 5 10 D) 10 E) 5
Answer:
b
Step-by-step explanation:
i had it
when a certain number is added to 11 and the result is multiplied by 3, the final result is 45 . find the number
Answer:
4
Step-by-step explanation:
Let the number = x
Added to 11 = 11+x
Multiply result by 3 = 3(11+x)
Final result = 45
Solving
3(11 + x) =45
33 +3x = 45
3x= 45-33
3x=12
X=4 by dividing both side by 3
express in kg: 3470 grams
4 kg 8 g
Answer:
Step-by-step explanation:
This Makes no sense but this is 4kg and 8g converted to Kg :
4kg - 8g = 4.008 kg
What is the measure of n?
Answer:
m = 10, n = [tex]\sqrt{75}[/tex]
Step-by-step explanation:
We know that the value of an altitude of a right triangle is the square root of the values that the altitude split multiplied together (or the square root of the value of the bases multiplied together).
The values here would be 5 and 15. 5 times 15 is 75, so the value of the altitude is the square root of 75. To find the value of m, we can use the Pythagorean theorem, where 5 and n are the legs and m is the hypotenuse. We already know the value of n, so we can plug that into the Pythagorean theorem:
[tex]5^2+(\sqrt{75})^2=m^2[/tex]
We know 5 squared is 25, and the square of the square root of 75 is 75, and 75 + 25 is 100.
[tex]m^2=100[/tex]
This means that m is equal 10, because the square root of 100 is m.
PLEASE HELP :( ASAP
Find the area.
A. 272 cm²
B. 175 cm²
C. 189 cm²
D. 195 cm²
Answer:
A. 272 cm^2
Step-by-step explanation:
The area of the rectangle is 17cm * 7cm = 119 cm^2
The area of the right triangle is (25-7) * 17cm * 1/2 = 153cm^2
Answer: 119+153 = 272 cm^2
If the geometric mean of a and 28 is 16 sqrt 7 find a
Answer:
a = 64
Step-by-step explanation:
The geometric mean of 2 numbers a and b is [tex]\sqrt{ab}[/tex] , then
[tex]\sqrt{28a}[/tex] = 16[tex]\sqrt{7}[/tex] ( square both sides )
28a = (16[tex]\sqrt{7}[/tex] )² = 1792 ( divide both sides by 28 )
a = 64
Answer:
a = 64
Step-by-step explanation:
The geometric mean for two numbers is given by :
GM = sqrt(ab)
16 sqrt(7) = sqrt(a*28)
Square each side
(16 sqrt(7))^2 = (sqrt(a*28))^2
256*7 = 28a
1792 = 28a
Divide each side by 28
1792/28 = 28a/28
64 = a