The correct option for the given linear equation is option (B).
What is a linear equation?
An equation is said to be linear if the maximum power of the variable is always 1. A linear equation with two variables has the conventional form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present.
The given equation is y =20x + 35
y = total amount of money
x = number of months the customer has been renting the storage unit
A) If x = 355
y = 20 * 355 + 35 = $7135
This is not the correct option.
B) If x = 16
y = 20*16 + 35 = $355
This is the correct option.
C) if x = 320
y = 20 * 320 + 35 = $6435
This is not the correct option.
D) If x = 16
y = 20*16 + 35 = $355
This is not the correct option.
Therefore the correct option for the given linear equation is option (B).
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3x+2y=5 What is x/y intercept
Answer:
x intercepts; (5/3 ,0 )
y-intercepts; (0 , 5/2)
Step-by-step explanation:
What is the equation of the line that has a slope of 4?
A 8x + 4y = 6
B 4x + y = 8
C4x - y - 4 = 4
D 2y - 4x = 0
Answer:
C
Rewrite the equation until you end up with 4 being your slope =m
May someone help me with this :)
Answer:
x=89
Step-by-step explanation:
Well all of a quadrilaterals interior angles add up to 360 degrees so you would add together 69+118+84 which equals 271, and then you'd subtract that from 360 which is 89. Hope this helps. :)
What 2D shape is formed by slicing a square pyramid horizontally?
A circle
B rectangle
C triangle
D) square
Answer:
B, Rectangle.
158,155,152,... Find the 34th term.
Answer:
i think that the answer is 149
Answer:
2
Step-by-step explanation:
You are filling up a water balloon at a rate of 30pi cm^3sec. How fast is the radius of the balloon increasing when the radius is 2cm
The fast of the radius of balloon increasing is 480 cm³ / sec.
How do you calculate speed?If you know how far something has travelled and how long it took to get there, you can calculate its average speed. Speed is calculated as follows: speed = distance * time.When figuring out test problems, the triangle might help you recall the formula more quickly. You may recall the three formulae with the aid of the triangle: Speed is calculated as Distance x Time.The result will be expressed in miles per hour (mph, mi/h), and so on for km/h, m/s, etc., if the distance was measured in miles and the duration in hours.Simple division of time by distance yields the equation for speed. To calculate speed, divide the distance travelled (say, 3 metres) by the passing time (say, three seconds) (one metre per second)Given data :
V = [tex]\frac{4}{3}[/tex] π r³
we know [tex]\frac{dr}{dt}[/tex] = 30 cm/ sec
we want [tex]\frac{dV}{dt}[/tex] when r = 2cm
Differentiate V = [tex]\frac{4}{3}[/tex] π r³ implicitly with respect to t
[tex]\frac{dV}{dt}[/tex] (V) = [tex]\frac{dr}{dt}[/tex] ( [tex]\frac{4}{3}[/tex] π r³ )
[tex]\frac{dV}{dt}[/tex] = [tex]\frac{4}{3}[/tex] π x 3r² [tex]\frac{dr}{dt}[/tex] = 4 π r² [tex]\frac{dr}{dt}[/tex]
Plug in what you know and solve for what you don't know.
[tex]\frac{dV}{dt}[/tex] = 4π ( 2 )² ( 30 / sec ) =
= 120 x 4 .π cm³ / sec
= 480 cm³ / sec
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Pls help asap
Which quadratic function is represented by the graph?
Answer:
1st option
Step-by-step explanation:
From the graph the zeros are x = - 3 and x = 1 , then the corresponding factors are
(x + 3) and (x - 1) , so
y = a(x + 3)(x - 1) ← a is a multiplier
To find a substitute a point on the graph into the equation
Using (0, - 1.5 ) , then
- 1.5 = a(3)(- 1) = - 3a ( divide both sides by - 3 )
0.5 = a
Then
f(x) = 0.5(x + 3)(x - 1)
Can you help me with this
Step-by-step explanation:
to find the equation of any line we have to first find the slope. the slope formula is:
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
our slope here would be 8/13
now we input the points in the equation
y = mx + b
then we find b to be -3(7/13)
so the final equation would be:
[tex]y = \frac{8x}{13} - 3( \frac{7}{13} )[/tex]
What is the length of the short side of one of the 30 60 90 triangles?
Remembering the ratio of 1: 3: 2 and understanding that the smallest side length is always opposite the shortest angle (30°) and the longest side length is always opposing the greatest angle (90°) can help you recall the 30-60-90 triangle principles.
According to the 30-60-90 triangle theorem, the hypotenuse is twice as long as the shorter leg. Additionally, the sides of this particular triangle have a ratio of 1:2: [tex]\sqrt{3}[/tex].
A 30-60-90 triangle can have three sides, and if you only know one, you can use shortcuts to discover the other two. The three scenarios you encounter when performing these computations are as follows:
You are aware of the short leg (the side across from the 30-degree angle). To find the hypotenuse, multiply the length by two. The long leg can be calculated by multiplying the short side by the square root of 3.You are aware of the hypotenuse. To get the short side, divide the hypotenuse by two. To determine the long leg, multiply this response by the square root of 3.You are aware of the long leg (the side across from the 60-degree angle). To determine the short side, divide this side by the square root of 3. To find the hypotenuse, multiply that amount by two.To know more about the 30 60 90 triangles on brainly : brainly.com/question/11751274
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please i need help! anything will help
Answer:
a = 3 or -3
Step-by-step explanation:
a^2 -8 = 1
a^2 = 1 + 8
a^2 = 9
a = - [tex]\sqrt{9}[/tex] or [tex]\sqrt{9}[/tex]
a = 3 or -3
Answer: a = 3, -3
Step-by-step explanation:
Since we want to find what values of a, or x when substituted into the function, equal 1, we will set the function equal to 1 and solve for x.
Given:
f(x) = x² - 8
Set equal to 1:
1 = x² - 8
Subtract 1 from both sides of the equation:
x² - 9 = 0
Difference of squares factoring:
(x - 3)(x + 3) = 0
Answers:
x = 3, -3
So,
a = 3, -3
NEED ANSWER ASAP DOING A QUIZ
what is the area of the figure
Answer:
the answer should be 126
Step-by-step explanation:
when you are looking for the area you multiple all of them so i should be right
Answer:
76.5
Step-by-step explanation:
6+3=9
1/2b*h
1/2*9*3=13.5
7*9=63
13.5+63=76.5
=76.5
what is 1/5 of 52 1/2
Answer: 10.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
c
BRAINLIEST IF U MAKE UR OWN AND ORIGINAL ANSWER!
Question 2(Multiple Choice Worth 1 points)
(01.06 MC)
An equation is shown:
−np − 6 = 3(c − 5)
Which of the following solves for n?
n = the quantity 3 times c minus 21 all over negative p
n = the quantity 3 times c minus 9 all over negative p
n = the quantity 3 times c minus 21 all over p
n = the quantity 3 times c minus 9 all over p
Answer:
Option 2
Step-by-step explanation:
Hello!
We can solve the equation for n by isolating the variable.
Solve for n:-np - 6 = 3(c - 5) Add 6 to both sides-np = 3(c - 5) + 6 Divide both sides by p-n = [tex]\frac{3(c - 5) + 6}{p}[/tex] Expand the parenthesis-n = [tex]\frac{3c - 15 + 6}{p}[/tex] Combine Like terms-n = [tex]\frac{3c - 9}{p}[/tex] Divide both sides by -1n = [tex]-\frac{3c - 9}{p}[/tex]The answer would be the second option: "n = the quantity 3 times c minus 9 all over negative p."
Calculate the correct answer
Evaluate: n2-n3 +r(n-r)
if n +7=3 and r= √25
hey could anyone help?
Answer:
18
Step-by-step explanation:
The ~ indicates that ∠ABC is similar to ∠QRS. In other words, their proportions are the same, even if their size is different.
So AB has the same proportions as QR. 4 can be multiplied by 2.25 to get to 9. So multiply 8 by 2.25 to get n.
8 * 2.25 = 18 so n = 18
Dose anyone know how to solve this??
Given:
The graph of a curve.
To find:
The domain and range for the given graph in interval notation.
Solution:
Domain: It is the set of input values.
Range: It is the set of output values.
Closed circle: It means that point is included in the solution set.
Open circle: It means that point is not included in the solution set.
(a) From the given graph it is clear that the function is defined between x=-5 to x=4. There is a closed circle at x=-5 and an open circle x=4, it means x=-5 is included and x=4 is not included in the domain.
[tex]Domain=-5\leq x<4[/tex]
[tex]Domain=[-5,4)[/tex]
(b) From the given graph it is clear that the values of the function lie between y=-3 to y=3. There is a closed circle at y=-3 and an open circle y=3, it means y=-3 is included and y=3 is not included in the range.
[tex]Range=-3\leq y<3[/tex]
[tex]Range=[-3,3)[/tex]
Therefore (a) [tex]Domain=[-5,4)[/tex] and (b) [tex]Range=[-3,3)[/tex].
help asap:( will give brainliest though!
Answer:
∡B = 60°
Step-by-step explanation:
find BC using Pythagorean Theorem:
5² + BC² = 10²
25 + BC² = 100
BC² = 75
BC = [tex]\sqrt{75}[/tex]
BC = [tex]\sqrt{25}[/tex][tex]\sqrt{3}[/tex] which is 5[tex]\sqrt{3}[/tex]
this indicates that ∡B must be 60° because the ratio of sides in a 30-60-90 triangle are 1 : [tex]\sqrt{3}[/tex] : 2
Michael has a bag of marbles. The frequency of selecting each color is recorded in the table below.
Outcome Frequency
Green 4
Black 6
Orange 5
Based on the given frequency, determine the experimental probability of selecting a green marble.
0.27
0.33
0.40
0.73
0.27 is the experimental probability of selecting a green marble.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given that Michael has a bag of marbles.
The frequency of selecting each color is recorded
Outcome Frequency
Green 4
Black 6
Orange 5
The total number of marbles are 4+6+5=15 marbles.
We need to find the experimental probability of selecting a green marble.
We need to select green marbles (4) from total marbles (15).
Probability=4/15=0.266=0.27
Hence, 0.27 is the experimental probability of selecting a green marble.
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Someone help me with number
6 and 7
Is the following situation represented by a positive integer, a negative integer, or zero?
Before taking off, the plane was on the ground.
Zero
Positive
Negative
Answer:
Positive
Step-by-step explanation:
Please help me with this math puzzle
Answer:
unicorn = 6
zebra = 18
horse = 4
Step-by-step explanation:
unicorn = u
zebra = z
horse = h
translate the picture to a system of equations
2u + z = 30
2h + u = 14
3z + 2h = 62
2h * 2u * 2z = ?
then solve the system of equations
A television screen measures approximately 20 inches high and its diagonal
is 29 inches. What is the width of the TV screen?
EXPAND:
Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x and log y.
log x^5y^2
Here are the answer choices:
A . 5 log x +2 log y
b. 10 log xy
C. 10 log x log y
D. log 5x + log 2y
Explain how you got the answer in Words or either in a mathematical expression!!!
Answer:
[tex] \displaystyle A) 5\log( {x}^{} ) + 2 \log( {y}^{} ) [/tex]
Step-by-step explanation:
we would like to expand the following logarithmic expression:
[tex] \displaystyle \log( {x}^{5} {y}^{2} ) [/tex]
remember the multiplication logarithmic indentity given by:
[tex] \displaystyle \rm \log( \alpha \times \beta ) \iff \log( \alpha ) + \log( \beta ) [/tex]
so our given expression should be
[tex] \displaystyle \log( {x}^{5} ) + \log( {y}^{2} ) [/tex]
by exponent logarithmic property we acquire:
[tex] \displaystyle 5\log( {x}^{} ) + 2 \log( {y}^{} ) [/tex]
hence, our answer is A
Brian flips a fair coin 3 times.
What is the probability of getting 3 tails?
Answer:
the answer is one over eight
the formula says required outcome divided by sample space
the sample space here is it because we have three coins and the Three coins have two faces each so it becomes 2 x 2 * 2 that is 8 and that is the total sample space we are supposed to get the probability of getting 3 tails and for each coin you have 1/2 x 1/2 x 1/2 and that is 1/8 as your final answer and do probability of getting three tails
Answer:
If a fair coin is flipped 3 times, the probability of getting exactly 3 tails is 1/8
Step-by-step explanation:
1/2 * 1/2 * 1/2 =1/8
Solving right triangles
Find measure of < j.
Answer:
80
Step-by-step explanation:
Because it is more than 45 and the only one that is more that 45 is 80
Susan made 4 uniform annual deposits of $1800 in a savings account that earned an interest rate of 2% per year. Her last deposit was made 7 years ago. What is the future value of her savings 13 years from now, if she leaves the account untouched?
Answer:
"$ 2,880" is the right answer.
Step-by-step explanation:
The given values are:
Annual deposit,
PV = $1,800
Interest rate,
r = 2%
or,
= 0.02
As we know,
⇒ [tex]FV=PV\times (1+r)n[/tex]
On substituting the values, we get
⇒ [tex]=1,800\times (1 + 0.02) 4 + 7 + 13[/tex]
⇒ [tex]=1,800\times (1.02)24[/tex]
⇒ [tex]=1,800\times 1.6[/tex]
⇒ [tex]= 2,880[/tex] ($)
2. Peter signed up for a program that costs
$10.50 per month to stream movies to his
computer. He decided to cancel his service
after a month. He only has to pay for the
amount of time he used the service. What
number represents the total change in the
amount of money Peter has after paying for
the service?
Answer:
Peter must pay $10.50
Step-by-step explanation:
Since he only used the service for 1 month, he pays for that much time.
Answer:
10.50 x 5 would be the expression.
so the answer is $-52.5
Step-by-step explanation:
8 cm
20 cm
0 80
O 160
0 28
O 40
Please help me with this question ASAP
NOTE: please explain your reasoning
Answer:
I Believe The Answer Would Be 35
Step-by-step explanation:
You See If You Split The Rectangle Into Three Rectangles You Can Split Them Up And Multiply The Length And Width
Answer:
35in^2
Step-by-step explanation:
You essentially have 3 rectangles.
Starting from the top
2*5 = 10
Middle
This is the only tricky one. You have the top with a total lenght of 5 and the middle rectangle is recessed from the 5 inch 2 inch. that leaves you 3 inches plus the 3 off to the side. in total 5 inches
3*5 = 15
Bottom
2*5 = 10
Add them all togehter
10+15+10
Write an equation for the sinusoid you graphed.
Max: 210
Min: 10
Time: 90 seconds (to go around the Ferris wheel 1 time)
Not sure if I graphed it correctly either…
Therefore , As a result, y=Sin will be the equation of the sinusoid that answers the supplied equation problem (2x).
Describe equationAn equation is a representation of two equal variables in mathematics, one on each side of a "equals" sign. Common difficulties can be solved using equations. We commonly seek pre algebra help to resolve problems in real life. Pre-algebra lessons address the fundamental concepts of mathematics.
Here,
Given: Maximum: 210
Minimum: 10
Time : 90
In order to create a sinusoid equation:
When x=0, sin(2*0)=sin(0)=0.
If x = 4 then sin(4 / 2) = 1.
Sin(π) = 0 if x =π/2 and
Consequently, the sinusoid's equation will be y=Sin (2x)
Therefore , As a result, y=Sin will be the equation of the sinusoid that answers the supplied equation problem (2x).
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