Answer:
Y = -3 Times X - 1
Step-by-step explanation:
y = mx + c
Here, m is the slope & c is the y-intercept
y = -3x - 1
Slope = -3
y intercept = -1
Answer:
The answer is 42
Step-by-step explanation:
and what he most likely did was
He subtracted 48 from 180 instead of 90.
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chapter 8 question 7
please help wil mark brainlyest
Answer:
0.72
Step-by-step explanation:
[tex] \cos \: 44 \degree = 0.7193398003 \\ \cos \: 44 \degree =0.72[/tex]
Type the expression that results from the following series of steps:
Start with
x
times by 9.
Answer:
Step-by-step explanation:
Given
x times by 9
Required
Write out an algebraic expression for the above.
Follow the instructions below to get the algebraic expression of the above.
1. First, write out the variable: x
2. Then write out an expression for "times by 9". This means multiply x by 9.
So, this gives x * 9.
x * 9 = 9x.
Hence, the expression for the above question is 9x
Ethan borrowed $2,190 for a new dirt bike. He will pay the money back in 3 years with a simple interest rate of 2.5%. How much interest will he pay?
Answer:
The interest ethan will pay is $164.25Step-by-step explanation:
To calculate the interest paid by ethan on the borrowed bike using the formula.
Simple Interest = Principal * rate * time/100
Principal = $2,190, rate = 2.5%, time = 3years
On substitution
SI = [tex]\frac{2190*3*2.5}{100}[/tex]
[tex]SI = \frac{16,425}{100}\\ SI= $164.25[/tex]
The interest ethan will pay is $164.25
Ethan will pay $164.25 in interest for the loan he took for a new dirt bike, calculated using the formula for simple interest (I = PRT) with P as the principal ($2,190), R as the rate (2.5% or 0.025), and T as the time (3 years).
Explanation:To calculate simple interest, you can use the following formula: I = PRT, where I is the Interest, P is the principal amount (original amount borrowed), R is the interest rate (in decimal form), and T is the time in years. In this case, the principal amount is $2,190, the interest rate is 2.5% or 0.025 as a decimal, and the time is 3 years.
You would then plug these values into the formula to get:
I = 2190 * 0.025 * 3
After calculating that, we would find that Ethan will pay $164.25 in interest.
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Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.
Answer:
[Tex]A(t)=5000(0.7)^t[/tex]
Step-by-step explanation:
The problem presented is one in which the population of the bacteria depreciates by a decay factor r every year.
Since it is a decay problem, we use the model:
[Tex]A(t)=P(1-r)^t[/tex]
Initial Population, P=5000
Decay Rate,r=30%=0.3
t=time interval
Therefore, the equation that represents this situation is:
[Tex]A(t)=5000(1-0.3)^t[/tex]
[Tex]A(t)=5000(0.7)^t[/tex]
The equation that represents this situation is y = 5000(0.7)ˣ
An exponential decay is given by:
y = abˣ
where a is the initial value of y, b is the rate of decay and y, x are variables.
Since the culture begins with 5000 cells, hence a = 5000. The cells die by 30% each year, hence b = 100% - 30% = 0.7
The equation is: y = 5000(0.7)ˣ
Therefore the equation that represents this situation is y = 5000(0.7)ˣ
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Which of the following is equal to the rational expression when x*-2 or 3?
X^2 +5x+6/X^2-X-6
Answer:
i am very sorry but i am trying to solve it so wait a few minutes please
Step-by-step explanation:
Answer: D
x+3/x-3
Step-by-step explanation:
If the circumference of a circle measures 3π cm, what is the area of the circle in terms of π?
Answer:
the area of the circle is [tex]2.25\pi\ cm^2[/tex].
Step-by-step explanation:
We have,
Circumference of a circle is 3π cm
Formula of circumference of a circle is given by :
[tex]C=2\pi r[/tex]
r is radius of circle
[tex]r=\dfrac{C}{2\pi}\\\\r=\dfrac{3\pi }{2\pi}\\\\r=1.5\ cm[/tex]
Area of a circle is given by :
[tex]A=\pi r^2\\\\A=\pi (1.5)^2\\\\A=2.25\pi\ cm^2[/tex]
So, the area of the circle is [tex]2.25\pi\ cm^2[/tex].
Please help out before 8pm !!
Answer:
170 degrees
Step-by-step explanation:
In a parallelogram, adjacent angles are supplementary, meaning that they add up to 180 degrees. This means that x+10=180, or that x=170 degrees. Hope this helps!
A pencil holder shaped like a triangular prism is shown in the picture the height of the pencil holder is 12 cm,and the volume of the pencil holder is 216 cm.what is the area of the base of the pencil holder in square centimeters
The area of the base of the triangular prism-shaped pencil holder is 18 square centimeters, calculated by dividing the given volume of 216 cm³ by the height of 12 cm.
The question asks for the area of the base of a pencil holder with a given volume and height, shaped like a triangular prism. To find the area of the base of the pencil holder, we can use the formula for the volume of a prism: Volume = Base Area imes Height. Since the volume and height are given, we can rearrange the formula to solve for the Base Area as follows:
Base Area = Volume / Height
Plugging in the values given:
Base Area = 216 cm³ / 12 cm
Base Area = 18 cm²
Therefore, the area of the base of the pencil holder is 18 square centimeters.
−n+(−3)+3n+5 combine like terms
Answer:
(-3+5)+(3n-n) = 2+2n
Step-by-step explanation:
Captain Jessica has a ship, the H.M.S. Khan. The ship is two furlongs from the dread pirate Michael and his merciless band of thieves. The Captain has probability 1 2 2 1 start fraction, 1, divided by, 2, end fraction of hitting the pirate ship. The pirate only has one good eye, so he hits the Captain's ship with probability 1 6 6 1 start fraction, 1, divided by, 6, end fraction. If both fire their cannons at the same time, what is the probability that both the pirate and the Captain hit each other's ships?
Answer:
1/12
Step-by-step explanation:
If the Captain hits the pirate ship, it won't affect whether she's also hit by the pirate's cannons (and vice-versa), because they both fired at the same time. So, these events are independent.
Since they are independent, in order to get the probability that both the pirate and the Captain hit each other's ships, we just need to multiply together the probability that the captain hits and the probability that the pirate hits.
The probability that the Captain hits is 1/2
The probability that the pirate hits is 1/6
So, the probability that both the pirate and the Captain hit each other's ships is 1/2 * 1/6 = 1/12
Final answer:
The probability that Captain Jessica and the pirate Michael hit each other's ships simultaneously is 0.0835 or 8.35%, calculated by multiplying the individual probabilities of each hitting the other's ship (0.5 for Captain Jessica and approximately 0.167 for the pirate).
Explanation:
To calculate the probability that both Captain Jessica and the pirate Michael hit each other's ships when they fire their cannons at the same time, we must consider each event independently and then multiply the probabilities of the two events since they are independent. Le'ts calculate the combined probability step-by-step.
First, we know that Captain Jessica has a probability of hitting the pirate ship which is ½ or 0.5.
Second, the dread pirate Michael has a probability of hitting the Captain's ship which is ⅙ or approximately 0.167 (1 divided by 6).
Since these are independent events, we multiply the two probabilities to find the combined probability of both events occurring together: 0.5 * 0.167 = 0.0835.
Therefore, the probability that both Captain Jessica and the pirate Michael hit each other's ships simultaneously is 0.0835 or 8.35%.
What is the upper and lower quartile of this set of data 15,19,20,25,31,38,41
Answer:
18 and 38
Step-by-step explanation:
Data set is given:
15,19,20,25,31,38,41The lower quartile value is the median of the lower half of the data. The upper quartile value is the median of the upper half of the data.
Lower half of the data:
15, 19, 20Lower quartile:
mid term of 15, 19, 20 = 19Upper half of the data:
31, 38, 41Upper quartile:
mid term of 31, 38, 41 = 38Answer:
Upper: 38
Lower: 19
Step-by-step explanation:
~I hope this helps~
[tex]f(x)=\sqrt x+2[/tex]
What is the inverse?
Answer:
[tex](x-2)^2[/tex]
Step-by-step explanation:
To find the inverse of this function, you need to replace the location of the x and the y.
You start with [tex]y=\sqrt{x}+2[/tex]. Now, replace the x and the y, and try to isolate the y.
[tex]x=\sqrt{y}+2\\x-2=\sqrt{y}\\y=(x-2)^2[/tex]
Hope this helps!
The price of an item yesterday was $90. Today, the price fell to $63. Find the percentage decrease.
The percentage decrease in price from $90 to $63 is 30%.
Explanation:To find the percentage decrease in price, we need to calculate the difference between the old price ($90) and the new price ($63), and then divide that difference by the old price. Finally, we multiply the result by 100 to get the percentage.
Step 1: Calculate the difference: $90 - $63 = $27
Step 2: Divide the difference by the old price: $27 / $90 = 0.3
Step 3: Multiply the result by 100 to get the percentage: 0.3 * 100 = 30%
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(7-4n) x 6= I need the answer as quick as possible
Answer:
42 - 24n
Step-by-step explanation:
(7-4n) 6
Distribute
7*6 - 4n*6
42 - 24n
Answer:
42 x - 24 x n - i = 0
Step-by-step explanation:
Expand the following:
6 x (7 - 4 n) = i
6 x (7 - 4 n) = 6 x×7 + 6 x (-4 n):
6×7 x - 4×6 x n = i
6×7 = 42:
42 x - 4×6 x n = i
6 (-4) = -24:
42 x + -24 x n = i
Subtract i from both sides of 42 x - 24 x n = i:
42 x - 24 x n - i = i - i
-i + i = 0:
Answer: 42 x - 24 x n - i = 0
PARA HORNEAR UN PASTEL DE UN KILO SE NECESITA ENTRE OTROS INGREDIENTES UN TERCIO DE HARINA Y 3 CUCHARADAS DE VAINILLA CUANTA VAINILLA ES NECESARIA 3 KILOS Y MEDIO
Answer: 10 + 1/2 spoons of vanilla.
Step-by-step explanation:
This question says:
For 1kg of cake, we need 1/3 kg of flour and 3 spoons of vanilla.
How much vanilla do we need if we want to make a cake of 3 + 1/2 kg?
Ok, if for 1kg we need 3 spoons, then for (3 + 1/2)kg we need (3 + 1/2) times 3 spoons, this is:
(3 + 1/2)*3 spoons
=3*3 + 3/2 = 9 + 3/2 = 9 + 2/2 + 1/2 = 10 + 1/2
We need 10 + 1/2 spoons of vanilla.
Manesh is putting new tile on a kitchen counter. Each sheet of tile will cover 1.5 \text { ft}^21.5 ft
2
Answer: the answer is 12
if a=2, b= -1, c= -3 and d= -2 find :
1/2bc-6ac+2ab
1/4(ac)² +1/6ac
Answer:
34
8
Step-by-step explanation:
1/2bc - 6ac + 2ab
(1/2)(-1)(-3) - (6)(2)(-3) + (2)(2)(-1)
(1/2)(4) - (-36) + (-4)
2 + 36 - 4
34
1/4(ac)² + 1/6ac
(1/4)[(2)(-3)]² + (1/6)(2)(-3)
(1/4)(-6)² + (1/6)(-6)
(1/4)(36) + (-1)
9 - 1
8
A bag contains yellow marbles and green marbles, 38 in total. The number of yellow marbles is 6 less than 3 times the number of green marbles. How many yellow marbles are there?
Answer:
3n - 6 = 38
3n -6 + 6 = 38 + 6
3n = 44
3n/3 = 44/3
n = 44/3
Step-by-step explanation:
1. set up the equation (the - affect the 6 not the 3)
2. add 6 to both sides
3. divide both sides by 3 to get n
A Real estate agent Earned a commission of $6875 for selling a house. If the selling price of the house? Step by step plz
Teorema de pitágoras. Las medidas de los lados y la diagonal de un rectángulo son tres números impares consecutivos.
Hallar los valores de estos elementos.
Answer:
This question says:
"the lenghts of the sides and the diagonal of a rectangle are 3 odd consecutive numbers".
This means that if x is an odd number, then the meassures are:
x, x + 2, x + 4.
We add 2 in each case, because the next consecutive number of, for example, 3 is 3 + 2 = 5, and so on.
Now, from the Pitagoras theorem we know that, for a triangle rectangle, we have
A^2 + B^2 = H^2
where A and B are the cathetus, and H is the hypotenuse.
In our case the smaller odd numbers will be the cathetus and the larger one will be the hypotenuse.
x^2 + (x + 2)^2 = (x + 4)^2
x^2 + x^2 + 4x + 4 = x^2 + 8x + 16
x^2 - 4x -12 = 0
now we need to solve this for x
we know that for a quadratic equation of the form:
ax^2 + bx + c = 0
the solutions are:
[tex]x = \frac{-b +- \sqrt{b^2 -4ac} }{2a}[/tex]
in our case we have:
[tex]x = \frac{4 +- \sqrt{16 +48} }{2} = \frac{4+-8}{2}[/tex]
The only positive value is x = 12/2 = 6
but 6 is not odd, so we can never have that the sides and the diagonal are odd consecutive numbers.
Simplify (3x2 - x + 7) + (6x2-3)
Answer: [tex]9x^2-x+4[/tex]
Combine Like Terms
[tex]3x^2+-x+7+6x^2+-3\\(3x^2+6x^2)+(-x)+(7+-3)\\9x^2+-x+4[/tex]
A 10-foot ladder leans against the side of a house with its base 2.2 feet from the house. Use the Pythagorean Theorem to approximate how high the ladder reaches up the side of the house. Round your answer to the nearest hundredth. The ladder reaches feet high.
Answer:
Ladder reaches 9.76 high.
Step-by-step explanation:
From the figure attached,
Ac is the ladder which reaches at the point A when leans against the side of a house.
Length of the ladder = 10 feet
Distance of the ladder form the base of a house = 2.2 ft
By Pythagoras theorem,
AC² = AB² + BC²
(10)² = h² + (2.2)²
h² = 100 - 4.84
h = √95.16
h = 9.755 feet
≈ 9.76 feet
Therefore, the ladder reaches the 9.76 high.
The answer is 9.7 feet
Kyle is painting the front door of his house. The dimensions of the door are 80 inches by 36 inches by 2 inches. If he paints all of the surfaces, how much area will he paint?
Answer:
its 5760ins
Step-by-step explanation:
80 inches * 36 inches * 2 inches = 5760 inches3
good day, and be safe
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Cylinder r=3 H=16
cone d=6 H=9
Answer:
C = 144*pi cubic units (cylinder)
V = 27*pi cubic units (cone)
Step-by-step explanation:
Cylinder r=3 H=16
cone d=6 H=9
I know what you mean.
You want volume.
C = (pi)*r^2 * h
V = (1/3)*(pi) *r^2 * h for a cone
---------------------------
C = (pi) * (3)^2 * 16 = 144*pi cubic units (cylinder)
V = (1/3)*(pi)*(3^2) * 9 = 27*pi cubic units (cone)
PLEASE HELP I need an explanation please if not thanks anyway
Answer:
V = 24 mi^3
Step-by-step explanation:
The volume is given by
V = l*w*h
V = 4*3*2
V = 24 mi^3
Amy ran for president of the chess club, and she received 38 votes. There were 40 members in the club. What percentage of the club members voted for Amy?
Answer:
95%
Step-by-step explanation:
Step 1: 38/40= 0.95
Step 2: multiply 0.95x100= 95
there are_____in the listening process
There are
a. 6 steps
b. 5 steps
c. 3 steps
d. 10 steps
Please select the best answer from the choices provided
Answer:
5 steps.
Step-by-step explanation:
RecievingUnderstandingEvaluatingRememberingRespondinghope it helps!
What percent is 18 out of 20
Answer:
it's 90%
Step-by-step explanation:
1. Divide 18 by 20 and you will get a decimal form answer
2. Then you multiple it by 100 and you will get your answer which is 90.00%
18 out of 20 is 90 percent.
What percent is 18 out of 20?To find the percentage of 18 out of 20, you can follow these steps:
1. Divide the given number (18) by the total number (20).
18 ÷ 20 = 0.9
2. Multiply the result by 100 to get the percentage.
0.9 × 100 = 90
Therefore, 18 out of 20 is 90 percent.
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What is the inverse of f(x)= 1/5 x
Is it an inverse function?
The inverse of the function f(x) = 1/5x is found by switching the roles of y and x, then solving for y. This results in the inverse function f^-1(x) = 5x, which undoes the effect of the original function.
Explanation:The inverse of a function, in this case f(x) = 1/5x, is the function that will reverse the effect of the original function. In this case, to find the inverse function of f(x), you swap the roles of y and x in the original function and solve for y.
So, f(x) = 1/5x becomes x = 1/5y. Multiply both sides by 5 to get rid of the denominator on the y-side, which results in 5x = y. Thus, the inverse function is f^-1(x) = 5x.
It's indeed an inverse function as it reverses the effect of the initial function f(x).
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.
Alec Tomita's savings account statement is shown below. What is his new balance?
Previous Balance
Interest
Deposits
Withdrawals
$568.23
$2.37
$562.32
$874.36
$877.99
$2007.28
$628.56
$258.56
If the previous balance, Interest, deposits withdrawals and are $568,$2.37, and $562.32.His new balance is $258.56.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that,
Previous Balance=$568.23
Interest=$2.37
Deposits=$562.32
Withdrawals=$874.36
We have to apply the addition and subtraction operations in order to find the new balance.
New balance = Previous Balance+Interest+Deposits-Withdrawals
New balance = $568.23+$2.37+$562.32-$874.36
New balance =$258.56
Thus, if the previous balance, Interest, deposits withdrawals and are $568,$2.37, and $562.32.His new balance is $258.56.
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