you take the derivative of x and y, and then divide them to find the instantaneous slope.
Instructions: Find the missing segment in the image below.
Triangle with a missing segment.
Answer:
?=25
Step-by-step explanation:
15/x=21/x+10
Cross Multiply
15X+150=21X
SUBTRACT 15 X ON BOTH SIDES.
150=6x
DIVIDE 6 IN BOTH SIDES.
x=25
A wallpaper store determines that the daily revenue (in pesos) earned by the store on the sale of y square meters of wallpaper is given in the equation R = y2 - 65y. How many square meters of wallpaper must be sold if the revenue from the wallpaper is to be 1200 per day?
Answer:
1,362, 00
Step-by-step explanation:
R= (1200)2 - 65 (1200)
=1,362,000
80 square meters of wallpaper must be sold.
What is Algebra?Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions. it involves variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression.
Given:
R = y² - 65y.
Now, R= 1200
y² - 65y = 1200
y² - 65y -1200 = 0
y² - 80y + 15y -1200 = 0
(y- 80) (y + 15)= 0
y= 80, -15
Hence, 80 square meters of wallpaper must be sold if the revenue from the wallpaper is to be 1200 per day.
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18. Mario rented a raft from River Rafter's Inc. He paid $100 to rent and
$25 for every hour. Carlos rented a raft from Oscar's Outdoor Shop. He
paid $50 to rent and $35 per hour. For what number of hours will both
rafting companies charge the same amount?
0
4
5
010
Answer:
5 hours
Step-by-step explanation:
The charge will be the same when what they pay is equal
100 + 25*number of hours = 50 +35 * number of hours
let number of hours =h
100 + 25h = 50 + 35h, subtract 25 h, and subtract 50 from both sides
100-50 = 35h -25h, combine like terms
50 = 10h , divide by 10 both sides
5 = h , in 5 hours the companies will charge the same amount
13. What is the missing mumber in the input-output table below?
Input
3
5
?
17
Output
16
22
31
58
A. 8
C. 11
B. 9
D. 14
Answer:
Hello,
Answer A
Step-by-step explanation:
Since there are 4 inputs and 3 are known
we shell try a function like y=ax²+bx+c
So we have to resolve the system
[tex]\left \{\begin{array}{cccc}9a+3b+c&=&16\\25a+5b+c&=&22\\289a+17b+c&=&58\\\end{array}\right.\\\\\\\left \{\begin{array}{cccc}a&=&0\\b&=&3\\c&=&7\\\end{array}\right.\\\\[/tex]
We have to try:
0*x²+3*x+7=31
3x=24
x=8
C and D are complementary angles. Which of the following measures cannot be true
Om C= 30° and m D = 60°
Om C= 60° and m2D = 30°
Om C= 65° and m D = 35°
Om C = 55° and m D = 35°
Answer:
C= 65° and m D = 35°
this cannot be true
Step-by-step explanation:
a complementary angle adds up to 90°
65°+35°=100
90° =/= 100°
Which pair of angles are corresponding angles?
Answer:
angles 3&7
Step-by-step explanation:
The mass of the sun is 2.13525×10^30 kilograms. The mass of Mercury is 3.285×10^23 kilograms.
How many times greater is the mass of the sun than the mass of Mercury?
Type your answer in scientific notation form.
Answer:
The mass of Sun is [tex]65\times 10^5[/tex] times greater than mass of Mercury.
Step-by-step explanation:
We are given that
Mass of the sun=[tex]M=2.13525\times 10^{30}[/tex] kg
Mass of Mercury, [tex]m=3.285\times 10^{23}[/tex]kg
We have to find how many times greater is the mass of the sun than the mass of Mercury.
Mass of sun/Mass of mercury=[tex]\frac{2.13525\times 10^{30}}{3.285\times 10^{23}}[/tex]
Mass of sun/Mass of mercury[tex]=0.65\times 10^{30-23}[/tex]
Using the property
[tex]a^x/a^y=a^{x-y}[/tex]
Mass of sun/Mass of mercury[tex]=0.65\times 10^{7}[/tex]
Mass of sun/Mass of mercury[tex]=65\times 10^5[/tex]
Mass of Sun=[tex]65\times 10^5[/tex] times Mass of Mercury
Hence, the mass of Sun is [tex]65\times 10^5[/tex] times greater than mass of Mercury.
Can someone help me?
Answer: b
Step-by-step explanation:
what is the measure of m?
Answer:
[tex]n^{2} +18^{2} =x^{2}[/tex]
[tex]6^{2} +x^{2} =m^{2}[/tex]
[tex]6^{2} +18^{2} +n^{2} =m^{2}[/tex]
[tex]m^{2} =n^{2} +360[/tex]
[tex]n^{2} +36=m^{2}[/tex]
[tex]m=15[/tex]
OAmalOHopeO
2(x+3) + 9 - 5 = 32
Solve for x.
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]x = 11[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'x'...}}\\\\2(x+3)+9-5=32\\----------------\\\rightarrow 2x + 6 + 9 - 5 = 32\\\\\rightarrow 2x + 10 = 32\\\\\rightarrow 2x + 10 - 10 = 32 - 10\\\\\rightarrow 2x = 22\\\\\rightarrow \frac{2x=22}{2}\\\\\rightarrow \boxed{x=11}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
The amount of money A accrued at the end of
n years when a certain amount Pis invested at
a compound annual rate r is given by
A= P(1+r)". If a person invests $150 at 5%
interest compounded annually, find the
approximate amount obtained at the end of 5
years.
[A] $191
[B] $4500
[C] $1139
[D] $900
Select another name for angle 2 in the figure below.
Answer:
Angle CAB
Step-by-step explanation:
Find the points that correspond to angle 2 and name them in order.
If f(x) = 4x2 and g(x) = x+1, find (f•g)(x)
A. 4x3+4x2
B. 4x(x)
C. 4X2 + 1
D. 4(x + 1)
Answer:
4x^3+4x^2
Step-by-step explanation:
f(x) = 4x^2
g(x) = x+1
(f•g)(x) = (4x^2) *(x+1) = 4x^3+4x^2
In order for the parallelogram to be a rhombus, x=? (7x+13)º
Answer:
x = 11
Step-by-step explanation:
The diagonals of a rhombus are perpendicular meaning that they create 90 degree angles
If they create 90 degree angles then 7x + 13 = 90
( Note that we've just created an equation that we can use to solve for x )
We now solve for x algebraically using the equation we created
7x + 13 = 90
Step 1 Subtract 13 from both sides
7x = 77
Divide both sides by 7
x = 11
What is the image point of (-8,9) after the transformation ry=-x
O
R90°?
Answer:
I believe it is (-8,-9)
Step-by-step explanation:
I plugged the line into desmos then did the rotation
– 5 = -3 + a whats a?
Answer:
-5=-3+a
-5+3=a
a=-2
value of a is -2
Find the volume of this square based pyramid. 3 cm 2 cm 2 cm. V = ? cm3.
I put V = 1/3 x 2 x 3. V = 2.
What did I do wrong?
The volume of square based pyramid is 4cm³.
What is Square Pyramid ?A square pyramid is a pyramid, in geometry, that has a square base and four lateral faces.
How to find the volume of Square Pyramid ?To find the volume of a pyramid, we multiply the area of its base with the height of the pyramid, and divide by 3.
V=1/ 3×B²×h
where B is the area of the base of the pyramid, and h is its height.
Now in the question,
b = 2cm; h = 3cm
Volume = (1/3 x 2x2x3)cm³
= (1x2x2)cm³
= 4cm³
Therefore, the volume of square based pyramid is 4cm³
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what is 6^20 / 6^15? please include explanation :)
Answer:
6^5
Step-by-step explanation:
We know that a^b /a^c = a^(b-c)
6^20 / 6^15
6^(20-15)
6^5
V(X+8)=x-4
Solve.
Radical equations and inequalities edge test is so hard smh
Answer:
x = V(X + 8) + 4
Step-by-step explanation:
Switch sides
x - 4 = V(X + 8\)
Add\ 4 to both sides
x - 4 + 4 = V(X + 8\) + 4
Simplify
x = V(X + 8) + 4
What is the product? 3x(-6 -11 -14 -9)
Answer:
The product is -120
The area of a triangle is 24 square inches. What is the height of the triangle if the base length is 4 inches?
O 6 inches
O 8 inches
O 12 inches
020 inches
Answer:
area of the triangle= 1/2 × base × height
24 = 1/2 × 4 × height
height. = 24/2
= 12 inches
answer is third option
Please help me with this question
Answer:
80
Step-by-step explanation:
The value of x must be greater than 77
The only number greater than 77 is 80
3x + 7
2x + 3
x= [?]
Answer:
2x+3=3x+7
2x-3x=7-3
x= 4
Step-by-step explanation:
[tex]here \: 3x + 7 = 2x + 3 \\ 3x - 2x = 3 - 7 \\ x = - 4 \\ thank \: you[/tex]
Help Now Pleaseee!!!!
Find the volume of the sphere
Answer:
7235 using 3.14 for pi
7238 using the pi button
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
V = 4/3 pi (12)^3
V = 2304pi
Letting pi = 3.14
V = 7234.56 and rounding to a whole number
V = 7235
Using the pi button
V =7238.22947 and rounding to a whole number
V = 7238
Answer: 7238
Step-by-step explanation:
The formula used is 4/3πr³
Now let's substitute the radius: 12
4/3πr³
=4/3×π×12³
=4/3×π×1728
=7238.22947
but since we are rounding it to the nearest whole number the answer would be 7238
What is the purpose of a standard drink measurement? It allows you to determine if you're getting what you paid for It is a consistent way of measuring the amount of alcohol in a drink It allows you to determine what is inside of a mixed drink It is a measurement to determine if you are legally drunk
Answer:
It is a consistent way of measuring the amount of alcohol in a drink.
Step-by-step explanation:
A standard drink measure is principally used to measure the amount of alcohol in a drink. It may be referred to as equalling the amount you of an alcoholic drink. The standard drink measure contains approximately 14 grams of alcohol. Hence, with with the standard drink measure, a consumer obtain a consistent measure of the alcohol content he/she is consuming. The standard drink measure is an alcohol related measure and not just any drink or food guage.
Suppose you had d dollars in your bank account. You spent $22 but have at least $28 left. How much money did you have initially? Write and solve an inequality that
represents this situation.
a.) d-22 28; d 50
b.) d - 22 > 28; d > 50
c.) d + 22 s 28; d s 72
d.) d + 22 28; d 272
Hi there!
»»————- ★ ————-««
I believe your answer is:
d – 22 ≥ 28
d ≥ 50
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Information Given:}}\\\\d - \text{Initial amount of money}\\\\\text{22 dollars was spent, and there are 'at least' 28 dollars left.}[/tex]
⸻⸻⸻⸻[tex]\boxed{\text{Setting up an inequality:}}\\\\\text{22 dollars was spent from the initial amount, 'd'.}\\\\d - 22\\\\\text{There are \textbf{at least} 28 dollars left. "At least" indicates a \underline{greater than or equal to} sign.}\\\\\rightarrow \boxed{d-22\geq 28}[/tex]
⸻⸻⸻⸻
[tex]\boxed{\text{Solving the inequality:}}\\\\d - 22\geq 28\\-------------\\\rightarrow d - 22 + 22 \geq 28 + 22\\\\\rightarrow \boxed{d \geq 50}[/tex]
⸻⸻⸻⸻
[tex]\text{Your answer should be: }\boxed{d-22\geq 28; \text{ }d \geq 50}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
if a(b+c)=d and a, b, c and d are all integer, then which of the following must be true?
A. ab+c=d
B. ab+ac=d
C. a(b+c)>10
D. ab
Answer:
B. ab+ac=d
Step-by-step explanation:
Answer:
ab + ac = d
Step-by-step explanation:
a(b+c)=d
Distribute the a
ab + ac = d
linesl,mand n are parallel to each other and p is a transversal
========================================================
Explanation:
Since L and M are parallel lines, this means x+y = 180 due to the same side interior angles theorem. Some books refer to these angles as consecutive interior angles.
If x+y = 180, then y = 180-x.
Plug this into the equation your teacher gave you
x/y = 3/7
x/(180-x) = 3/7
7x = 3(180-x) ... cross multiply
7x = 540 - 3x
7x+3x = 540
10x = 540
x = 540/10
x = 54
Use this to find y
y = 180-x
y = 180-54
y = 126
Then notice how x/y = 54/126 = 3/7, which helps confirm we have the correct x and y values.
Divide both parts of the first fraction by 18 to fully reduce.
Now because angles y and z are alternate exterior angles, this must mean z = y = 126 degrees
What’s the rate of change in this question y=0.860x+3.302
Answer:
The equation is in a linear form, which means its in y=mx + b
M is the slope.
Slope is a fancy word for rate of change.
Therefore, the slope/rate of change is...
.860
Can someone help please and thank you
Answer:
b
Step-by-step explanation:
