Answer:
[tex]y=4x-2[/tex]
Step-by-step explanation:
Hi there!
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
We're given that the slope is 4. Plug this into [tex]y=mx+b[/tex] as m:
[tex]y=4x+b[/tex]
Now, to determine the y-intercept, plug in the given point (1,2) and solve for b:
[tex]2=4(1)+b\\2=4+b\\b=-2[/tex]
Therefore, the y-intercept is -2. Plug this back into [tex]y=4x+b[/tex] as b:
[tex]y=4x+(-2)\\y=4x-2[/tex]
I hope this helps!
When a fish is selected at random from a tank, the probability that it has a green tail is 0.36, the probability that it has red fins is 0.59, and the probability that it has both a green tail and red fins is 0.21. What is the probability that the selected fish will not have a red fin or a green tail?
Answer: 0.26
Step-by-step explanation:
As per given , we have
P(green tail) = 0.36
P(red fins) = 0.59
P(both a green tail and red fins ) = 0.21
Now, P(Neither red fin nor green tail )= 1 - P(either red fin or green tail )
[P(neither A nor B)= 1- P(either A or B)]
= 1-(P(green tail) +P(red fins)+P(both a green tail and red fins ))
[P(A or B)= P(A)+P(B)-P(A and B)]
= 1- (0.36+0.59-0.21)
= 1-(0.74)
= 0.26
Hence, the probability that the selected fish will not have a red fin or a green tail = 0.26
after allowing 5 percent discount on the marked price of a radio 10 percent vat is charged on it , then its price became rs 1672 .how much amount was given in the discount
Answer:
Hi, there!!!
The solutions in pictures will help you.
Best of luck....
1.Solve by factorization method: x+1/x=11 1/11 2.Comment on the nature of roots for 4x^2-5=2(〖x+1)〗^2-7 plz, help...
Answer:
The equation
[tex]4\,x^2-5=2\,(x+1)^2-7[/tex]
can be solved by first expanding all indicated operations, and later when the constant terms disappear, by factoring out 2x , leaving the equation as a product of two factors equal zero, from which it is easy to extract the roots. See below.
Step-by-step explanation:
When solving for x in the following expression, and using factoring to apply at the end the zero product theorem:
[tex]4\,x^2-5=2\,(x+1)^2-7\\4\,x^2-5=2\,(x^2+2x+1)-7\\4\,x^2-5=2\,x^2+4\,x+2-7\\4\,x^2-5=2\.x^2+4\,x-5\\4\,x^2=2\,x^2+4\,x\\4\,x^2-2\,x^2-4\,x=0\\2\,x^2-4\,x=0\\2\,x\,(x-2)=0[/tex]
We observe that for the last product, to get a zero, x has to be zero (making the first factor zero), or x has to be "2" making the binomial factor zero.
16. Expand (2x - 1)(x - 3).
A. 2x2 - 7X+3 B. 2x2 +7x+3
C. 2x2-7X-3 D. 2x2+7X-3 E. x2+7X-3
Answer:
Hey there!
[tex](2x-1)(x-3)[/tex]
[tex]2x^2-1x-6x+3[/tex]
[tex]2x^2-7x+3[/tex]
Hope this helps :)
Answer:
see below
Step-by-step explanation:
the simple answer is a if you need an explanation just comment
A. 110
B. 90
C. 135
D. 45
Answer:
answer is
D. 45. hhhisukwk
A man gave his 8000$ as pocket money and his son 1000$ less.Express the girls money as a percentage of the total sum of money.
Answer:
About 89%
Step-by-step explanation:
8000 + 1000 = 9000.
To find the girls money as a percentage of the total sum of money, you must take 8000 and divide it by 9000.
8000/9000 = .8888 = 88.88 = 88.9% or about 89%.
A school store buys pencils in bulk and sells them to students for a small profit. The school pays $2.00 for 100 pencils and sells them for 10 cents each. How many pencils would they have to sell to make a $100 profit?
Answer:
1,000
Step-by-step explanation:
First, there are 10,000 cents in $100.
So divide 10,000 by 10. (because 1 pencil is 10 cents)
1,000.
I hope this helps!
pls ❤ and mark brainliest pls
Una empresa de comunicaciones internacional ofrece paquete de servicios de internet por demanda y que incluye un cargo fijo mensual. Si el cargo fijo es de $8000 y el costo por MB consumido es de $ 34, entonces el costo por consumo de 512 Mb es de:
El costo por el consumo de 512 MB, con base en los cargos mencionados, es de $25408.
Cálculo del costo paso a paso.
Según los datos en el ejercicio, se puede identificar que el costo mensual debe contener el cargo fijo mensual ($8000), más los megabytes consumidos por $34, teniendo eso en cuenta, se puede generar la siguiente fórmula:
Costo por consumo = Cargo fijo mensual + MB * $34Donde:
MB = Megabytes consumidas.Si reemplazamos el valor de MB por la cantidad mencionada en el ejercicio (512 Mb), y el cargo fijo mensual ($8000) obtenemos:
Costo por consumo = $8000 + 512 * $34Costo por consumo = $8000 + $17408Costo por consumo = $25408Por lo tanto, el costo por consumo de 512 Mb es de $25408.
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in 2003 the toyota camry was the top selling passenger vehicle in the united states followed by the honda accord there was 35,000 fewer honda accords than toyota camrys sold in the us in 2003 total sales for the two models together equaled 833,000 that year how many of
Answer:
the amount of camry sold in 2003 = 434000
Step-by-step explanation:
let the number of camry sold be X
then the number of honda accord will be x - 35000
the total will be:
x + x-35000 = 833000
2x = 868000
x = 434000
The amount of Camry sold in 2003 is 434000
How to find the amount of Camry sold in 2003?Let the number of Camry sold be X
Then the number of honda accord will be x - 35000
The total will be:
x + x-35000 = 833000
2x = 868000
x = 434000
Problem-solving is the act of defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution.
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What is the volume of the cone shown below?
Answer:
C. 96 pi
Step-by-step explanation:
Formula for volume of cone = 1/3 * h * pi * r^2
1. 1/3 * 18 * 4^2 * pi
2. 96 pi
I hope this helps
Answer:
C. 96π cubic units
Step-by-step explanation:
The volume of a cone can be found using the following formula.
[tex]V=\frac{1}{3} \pi r^2h[/tex]
The radius of the cone is 4 units and the height is 18 units.
r= 4 units
h=18 units
Substitute the values into the formula.
[tex]V=\frac{1}{3} \pi (4units)^2(18 units)[/tex]
First, evaluate the exponent, 4 units^2.
4 units^2= 4 units * 4 units= 16 units^2
[tex]V=\frac{1}{3}\pi(16 units^2)(18 units)[/tex]
Next, multiply 16 units^2 and 18 units
16 units^2*18 units= 288 units^3
[tex]V=\frac{1}{3}\pi(288 units^3)[/tex]
Next, multiply 1/3 and 288 units^3, or divide 288 units^3 by 3.
1/3 * 288 units^3 =96 units^2
288 units^3/3=96 units^3
[tex]V=\pi*96units^3[/tex]
This can be rewritten as:
[tex]V= 96\pi units^3[/tex]
The volume of the cone is 96π cubic units. Therefore, C is the correct answer choice.
There is a sequence of rigid transformations that takes A to A', B to B', and C to "
same sequence takes D to D'. Draw and label D':
Answer:
I think it's D
Step-by-step explanation:
Answer: I think its D
Step-by-step explanation:
Rigid transformation moves a shape without changing the size of the shape.
See attachment for the diagram that shows the position of D'
Null hypothesis: There is no difference in the average start-up costs of the 4 different types of shops. Alternative hypothesis: There is a difference in the average start-up costs of the shops
Answer:
True
Step-by-step explanation:
The null and alternate hypothesis are established terms that are used in statistics. Note that the Null hypothesis often represents the expected outcome, as in this example that– "There is no difference in the average start-up costs of the 4 different types of shops".
Meanwhile, the Alternative hypothesis tells the opposite of expected outcome– "There is a difference in the average start-up costs of the shops working statement".
Thus, the forcus of the research would be to prove whether the null hypothesis is true or false. If it is true, then we fail to reject the null hypothesis.
Given the right triangle below, if AB = 4 and BC = 4, find AC.
A
B
C
AC will be 4√2 when AB = 4 and BC = 4, in the given right triangle.
What is Pythagoras' Theorem?According to Pythagoras' Theorem, in a right triangle, the square of the length of the longest side, that is, the hypotenuse, that is, the side opposite to the right angle is equal to the sum of the squares of the lengths of the other two sides.
How to solve the question?In the question, we are given a right triangle, with sides AB = 4 and BC = 4.
We are asked to find AC.
To find AC, we will use the Pythagoras theorem, according to which, we can write:
AC² = AB² + BC²
or, AC² = 4² + 4²,
or, AC² = 16 + 16,
or, AC² = 32,
or, AC = √32,
or, AC = √(16 * 2) = 4√2.
Therefore, AC will be 4√2 when AB = 4 and BC = 4, in the given right triangle.
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Use the points slope formula..
Answer:
y = -5/14 -13/7
Step-by-step explanation:
First find the slope
m = (y2-y1)/(x2-x1)
m = (1 - -4)/(-8 - 6)
= (1+4)/(-8-6)
= 5/-14
=-5/14
Point slope form is
y-y1 = m(x-x1)
y - -4 = -5/14(x-6)
y+4 = -5/14(x-6)
We want the equation in slope intercept form y = mx+b
Distribute
y+4 = -5/14x + 15/7
Subtract 4 from each side
y+4 -4= -5/14x + 15/7-4
y = -5/14x +15/7 - 28/7
y = -5/14 -13/7
The equation y=ax described the graph of a line. If the value of a is negative the line:
Hi
if " a" is negative then the line goes from up left corner to down right corner.
it's mean decreasing groth. value get more and more negative toward negative infinity as x is going upward to positive infinity.
What is the surface area of the cube, in square inches?
Answer:
The surface area of the cube is 648.96 sq in.
Step-by-step explanation:
This problem is made a lot easier by the fact that it's a cube.
So we first calculate the area of one of the faces. The length of the side of the side is 10.4 inches, and 10.4 * 10.4 = 100.16.
There are six faces, so we multiply the area of 1 face by 6. 100.16 * 6 = 648.96.
Therefore, the surface area of the cube is 648.96 sq inches.
Hope This Helps!
Line segment AB has a length of 5 units. It is translated 3 units to the right on a coordinate plane to obtain line segment A'B' . What is the length of A'B' ? (50 points)
2 units
3 units
4 units
5 units
Answer:
5 units is the correct answer
Step-by-Step Explanation:
the translation of ab is a rigid transformation so, the size of the preimage and the size of the image are equal therefore,
ab=a'b'
the length of a'b' is 5 units which is option d.
simplfy given equation using the distributive property 6 - (3x+10) + 4(2 - x) =15
Answer:
see below
Step-by-step explanation:
6 - (3x+10) + 4(2 - x) =15
Distribute
6 - 3x -10 +8 -4x = 15
Combine like terms
4 -7x = 15
Subtract 4 from each side
4 -7x-4 =15-4
-7x =11
Divide each side by -7
-7x/-7 = 11/-7
x = -11/7
Suppose that a population begins at a size of 100 and grows continuously at a rate of 200% per year. Give the formula for calculating the size of that population after t years.
Answer:
y = 100(3)^t
Step-by-step explanation:
Use the formula y = P(1 + r)^t where y is the new amount, P is the starting amount, r is the rate as a decimal, and t is the time.
Plug in the values given:
y = 100(1 + 2)^t
y = 100(3)^t
Answer:
Step-by-step explanation:
y = 100(3)^t
Daniel took her dog for a walk. She decided to count how many dog ears. She passed on her walk. She passed 14 dogs. How many ears did she count?
Answer:
Each dog has 2 ears (unless a dog had genetic disorder)
So-
14 x 2
= 28
So she counted of 28 Ears of total
(honestly that's a weird thing to do but ok)
Answer:
14 x 2 = 28
Step-by-step explanation:
Each dog has 2 ears
14 dogs has 28 ears
6. Use a one unit multiplier to convert 20 inches to centimeters.
7. Use two unit multipliers to convert 25 feet to centimeters.
Answer:
should be 15.
Step-by-step explanation:
An 8-pack of beaded necklaces costs $7.60. What is the unit price?
Answer:
The unit price is $0.95 per pack.
Step-by-step explanation:
To find the unit price, we must find the price per pack of beaded necklaces. To do this, we should divide the total price ($7.60) by the number of items in the package (8).
$7.60/8 = $0.95
Therefore, the answer is that the unit price is $0.95.
Hope this helps!
If the cost of white tiles is $240, what is the unit cost of white tiles?
I need help with C and G and are A,B,E, and F right?? Plz help ASAP
Answer:
$15 and 3600ft^2
Step-by-step explanation:
C) There are 16 white tiles used. The unit cost of a white tile=240/16=$15
E) The cafeteria area consists of 36 tiles of dimensions 10 ft x 10 ft, so the area of the floor is 3600ft^2
A landscaping company placed an order for 40 new trees. The red oak trees cost $25 a piece and the sugar maples trees cost $18. If the total order was for $790, how many of each type of tree did they order?
Answer:
its 30 sugar maple trees and 10 red oak trees
Step-by-step explanation:
Number of red oak trees = 10
And, Number of sugar maples trees = 30
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A landscaping company placed an order for 40 new trees.
And, The red oak trees cost $25 a piece and the sugar maples trees cost $18. the total order was for $790.
Let number of red oak trees = x
And, Number of sugar maples trees = y
Hence, We can formulate;
⇒ x + y = 40
⇒ 25x + 18y = 790
By solving we get;
y = 30
x = 10
Thus, Number of red oak trees = 10
And, Number of sugar maples trees = 30
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Estimate the solution to the following system of equations by graphing 3x +7y=10 2x-3y=-6
please mark me brain list
Answer:
(- 1/2,5/3)
Step-by-step explanation:
A soma de dois números consecutivos é 11, qual expressão algébrica representa este contexto? * 1 ponto a) X + X + 1 = 11 b) X + X = 11 c) X + X – 1 = 11 d) X + 1 = 11
Answer:
a) X + X + 1 = 11
Step-by-step explanation:
Em matemática, a soma de consecutivos é expressa matematicamente como:
X + (X + 1) + (X + 2) + (X + 3) .............
Na pergunta acima, somos solicitados a encontrar a expressão algébrica que indica que a soma de DOIS inteiros consecutivos é igual a 11
Portanto, esta expressão algébrica é dada como:
X + (X + 1) = 11
X + X + 1 = 11
Portanto, a opção a) X + X + 1 = 11 é a opção correta
convert 3:4 to percentage
Answer:
[tex]75\%[/tex]
Step-by-step explanation:
[tex] \frac{3}{4} \times 100\%[/tex]
100 is divided by 4, so you will get 25.
25 multiply 3, you will get 75%
So, the answer is 75%.
Answer:
Step-by-step explanation:
I'm not sure what you're asking for but I'll assume you mean what percentage is the three so:
There are 7 total parts bc 3 + 4 = 7.
3/7 is 42.857142857% repeating decimal
If you mean 3/4 then it's 75% bc 3/4 is 0.75
A sequence of transformations is described below. A reflection over a line \overleftrightarrow{PQ} PQ P, Q, with, \overleftrightarrow, on top A rotation about the point PPP Another reflection over \overleftrightarrow{PQ} PQ P, Q, with, \overleftrightarrow, on top A rotation about the point QQQ Which of the following must be preserved under this sequence of transformations? Choose 1 answer: Choose 1 answer: (Choice A) A Angle measures only (Choice B) B Segment lengths only (Choice C) C Both angle measures and segment lengths (Choice D) D Neither angle measures nor segment lengths
Answer:
The correct option is;
(Choice C) Both angle measures and segment lengths
Step-by-step explanation:
The given transformations are;
The reflection over the line, [tex]\overleftrightarrow{PQ}[/tex], with, A rotation about the point P. Another reflection over [tex]\overleftrightarrow{PQ}[/tex]. A rotation about the point Q, we have;
The transformations involve changes only in the orientation and location of the pre-image, which remain rigid, therefore, there are no changes in the segment lengths or angle dimensions
Therefore, the correct option is, both angle measures and segment lengths.
(Choice C) C Both angle measures and segment lengths
find the equation of the line of gradient 3 which passes through the point (0, 2).
Answer:
The answer is y = 3x + 2Step-by-step explanation:
To find the equation of the line given a point and the gradient, the formula to use is
y - y1 = m(x - x1)
where
m is the gradient and
( x1 , y1) is the point
From the question
The point is (0 , 2)
The gradient is 3
Substitute the values into the above formula
That's
y - 2 = 3( x - 0)
y - 2 = 3x
The final answer is
y = 3x + 2Hope this helps you
Compute
3/10 + 3/5 - 1/5
Answer:
7/10
Step-by-step explanation:
3/10 + 3/5 - 1/5
Combine like terms
3/10 + 2/5
Get a common denominator of 10
3/10 + 2/5 * 2/2
3/10 +4/10
7/10
Answer:
7/10
Step-by-step explanation:
You want to first get all common denominators, in this case that will be 10.
It is now (3/10)+(6/10)-(2/10)
3+6-2=7
7/10