Determine the value of −14.1 × (-7.33)
Answer:
Multiply -14.1 by -7.33.103.353 ?
Step-by-step explanation:
Sorry I'm not very good at math hope this helps..
Cual es la respuesta
Alguien que me ayude
Answer:
yes because it goes through the origin and has a constant rate is the correct answer hope it helps you :)
The vertices of are F(2,1), G(4,1), and H(4,-1). The vertices of the image of the triangle after a dilation centered at (0,0) are F'(4,2), G'(8,2), and H'(8,-2). What is the scale factor of the dilation?
Answer:
The scale factor of the dilation is 2
Step-by-step explanation:
The given vertices the ΔFGH are;
F(2, 1), G(4, 1), and H(4, -1)
The lengths of the sides of the triangle ΔFGH are;
The length of segment FG = √((4 - 2)² + (1 - 1)²) = 2
The length of segment FH = √((4 - 2)² + ((-1) - 1)²) = 2·√2
The length of segment GH = √((4 - 4)² + ((-1) - 1)²) = 2
After a dilation with the center of dilation = (0, 0), to give the ΔF'G'H', we have;
The given vertices the ΔF'G'H' are F'(4, 2), G'(8, 2), H'(8, -2)
The length of segment F'G' = √((8 - 4)² + (2 - 2)²) = 4
The length of segment F'H' = √((8 - 4)² + ((-2) - 2)²) = 4·√2
The length of segment G'H' = √((8 - 8)² + ((-2) - 2)²) = 4
The length of the sides of ΔFGH = 1/2 × The length of the sides of ΔF'G'H' or the length of the sides of ΔF'G'H' = 2 × The length of the sides of ΔFGH
Therefore, the scale factor of the dilation is 2.
Which of the following represent an exponential growth function?
Answer:
[tex]y=3^x[/tex]
Step-by-step explanation:
Exponential Growth Function
The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.
An exponential growth function is expressed as:
[tex]C(t)=C_o\cdot(1+r)^t[/tex]
Where:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the (positive) growth rate, expressed in decimal
Since r is positive, 1+r is greater than 1.
From the available options, only the last two of them correspond to exponential functions according to the definition above.
Note the third option has a base of 1/3 which is not greater than 1. In fact, it corresponds to an exponential decay function.
The last option has a base 3 and corresponds to a value of r=2 which correctly fits with the definition presented above, thus the correct choice is
[tex]\mathbf{y=3^x}[/tex]
Please help pass my final :(
Answer:
if ∠1 = 70°, then ∠5= 70°
Hence, option (A) is correct.
Step-by-step explanation:
Given
∠1 = 70°
To determine
We need to determine angle ∠5
From the diagram, it is clear that a transversal line crosses the two parallel lines, the angles in the matching corner would be corresponding angles.
We know that when two lines are parallel, their corresponding angles are equal.As angle ∠5 is the corresponding angle of angle ∠1 = 70°.
Also, the corresponding angles are equal here.Therefore,
if ∠1 = 70°, then ∠5= 70°
Hence, option (A) is correct.
What is the coefficients of x4 in the expansion of (1+x)4(1+2x)3.
By the binomial theorem,
(1 + x)⁴ = 1 + 4x + 6x² + 4x³ + x⁴
(1 + 2x)³ = 1 + 6x + 12x² + 8x³
In the expansion of (1 + x)⁴ (1 + 2x)³, we get an x⁴ when multiplying
• x⁴ and 1 to get x⁴;
• 4x³ and 6x to get 24x⁴;
• 6x² and 12x² to get 72x⁴; and
• 4x and 8x³ to get 32x⁴.
Add these up:
x⁴ + 24x⁴ + 72x⁴ + 32x⁴ = 129x⁴
What is the y-intercept when a line has a slope of 1/2 and passes
through the point (2, -1)?
Answer:
2
Step-by-step explanation:
You called this question to the right person. To find the y-intercept, you must do the formula of Point Slope (y-y1 = m (x-x1)) Since 2, is x1 and the -1 is y1, we must lay the equation out like this: y - -1 = m (x-2). Next, we must distribute the slope to the x and the 2, which would allow the x, to fit in with the slope, and the 2 to become 1 since 1/2 x 2 is 1. Now what we need to do is get rid of the -1, so what we do here is add 1. And algebra golden rule, whatever you do to one side, you must do to the other side. This would leave y = 1/2x + 2 And therefore 2 is your y-intercept, since it's at the last part of the equation.
Please Help............
Answer: number 1
Step-by-step explanation:
Vivienne has 5 pets, all of which are either birds or cats. Her pets have a total of 14 legs. Choose the system of equations that can be solved to find the number of birds that Vivienne owns, b, and the number of cats that Vivienne owns, e.
Answer:
the system of equations is
b + e = 5
2b + 4e = 14
and the solved system gets you to the conclusion that vivienne has 3 birds and 2 cats
Step-by-step explanation:
b is the amount of birds and e is the amount of cats so adding them together would give you 5, the total amount of pets. so this is the first equation:
b + e = 5
next, we know that birds have two legs and cats have 4, so those respective numbers times the amount of each animal will give you 14, the amount of legs. so the equation would be:
2b + 4e = 14
so the system of equations would be
b + e = 5
2b + 4e = 14
i wasnt sure if you also needed to solve it but here it is solved
b = 5 - e
2(5 - e) + 4e = 14
10 - 2e + 4e = 14
10 + 2e = 14
2e = 4
e = 2
so using subsitution you would get b by using the value of e in the first equation.
b = 5 - e
b = 5 - 2
b = 3
so vivienne has 3 birds and 2 cats.
The required number of birds and cats Vivienne have is 3 and 2 respectively.
What are simultaneous linear equations?Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
Here,
Vivienne has 5 pets, all of which are either birds or cats.
Let the number of birds be x, and the number of cats be y,
x + y = 5, - - - - -(1)
Now, Her pets have a total of 14 legs. Since a bird has 2 legs and a cat has 4 lags
According to the question,
2x + 4y = 14 - - - - -(2)
Solving equations 1 and 2,
2x + 4 (5 -x) = 14
2x + 20 - 4x = 14
2x = 6
x = 3
Now,
3 + y = 5
y = 2
Thus, the required number of birds and cats Vivienne have is 3 and 2 respectively.
Learn more about simultaneous equations here:
https://brainly.com/question/16763389
#SPJ5
What is m=3 and the line goes through the point (2,4) in point - slope form
Answer:
y-4=3(x-2)
Step-by-step explanation:
y-y1=m(x-x1)
find slope and y-intercept formed the graph if the linear equation
y=1/4x-8
Answer:
not sure exactly what its asking but if its asking the slope and y-intercept of this equation is here.
Step-by-step explanation:
the slope is 1/4 while the y-intercept is -8 or (0,-8)
Answer: slope: 1/4
y-intercept: (0,-8)
Hope this helps and good luck :)
Step-by-step explanation:
A family has four daughters, Molly, Daisy, Rosie and Tilly.
• Daisy is six years older than Molly.
• Molly is four years younger than Tilly.
• Rosie is one year older than double Molly's age.
• The total of their ages is 51.
Find the age of each of the four girls.
Answer:
Read Below
Step-by-step explanation:
Rosie 17
Daisy 14
Tilly 12
Molly 8
Answer:
these questions are in maths???
oh my gwad....
Jordan has traveled 255 miles out of 340 miles on a trip. What percent of the total distance has he traveled?
A. 73%
B. 82%
C.75%
D. 70%
Answer:
Step-by-step explanation:
jordan traveled 255 miles out of 340 miles
340 miles.........................100 %
255 miles.......................... ?
255*100=2500/340=73%
See attachment for math work and answer.
What is the slope of the line represented by 9x - 14y = 28?
Answer:
The slope of the line is [tex]\displaystyle \frac{9}{14}[/tex].
Step-by-step explanation:
We are given the line in standard form:
[tex]9x - 14y = 28[/tex]
We need to get this into slope-intercept form in order to determine the slope of the line.
Slope-intercept form is [tex]y = mx + b[/tex], where m is our slope and b is the y-intercept.
Therefore, we need to get:
[tex]9x - 14y = 28[/tex]converted to:
[tex]y = mx +b[/tex].[tex]\displaystyle 9x - 14y = 28\\\\-14y = -9x + 28\\\\\frac{-14y}{-14}=\frac{-9x+28}{-14}\\\\y = \frac{9}{14}x-2[/tex]
Therefore, by solving the equation in slope-intercept form, we see that m equals 9/14, so our slope is [tex]\displaystyle \frac{9}{14}[/tex].
All of the following are equivalent, except _____.
(8 + 3)x
11x²
11x
8x + 3x
hellllllllllllppppppppppp
Explanation:
Choice A combines to 11x since the 8+3 simplifies to 11.
Choice D is a very similar story. Think of having 8 boxes, which we denote in shorthand as 8x. Then adding on 3 more boxes leads to adding on 3x. Having 8 boxes plus another 3 boxes gives 8+3 = 11 boxes total. So that's why 8x+3x = 11x. Alternatively, we can factor out the x to say 8x+3x = (8+3)x.
This shows choices A,C, and D are equivalent expressions. Choice B is the odd one out.
Can someone help me what is the answer
Answer:
y = 4x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, - 1) and (x₂, y₂ ) = (0, 3)
m = [tex]\frac{3+1}{0+1}[/tex] = [tex]\frac{4}{1}[/tex] = 4
The line crosses the y- axis at (0, 3 ) ⇒ c = 3
y = 4x + 3 ← equation of line
The price of mangoes in a grocery store is 3 for $5. How much will 5
mangoes cost? Round the answer to the nearest hundredth.
Answer:
8 and one thirds
Step-by-step explanation:
5 times 5 is equal to 25 and 25 divided by 3 is 8.3333
Answer:
$8.33
Step-by-step explanation:
So, to figure out how much one mango costs, I did $5 divided by 3, which gave me 1.66.
I then multiplied that by 5 to see how much 5 mangos cost, and I got $8.33
is 3399 a rational number
A restaurant sold tacos and burritos. Tacos cost $2.00 and burritos cost $1.00. The restaurant sold 48 items for a total of $86.00. Write a system of equations.
Answer:
blank 1-2x+y1=86
Blank 2- x+y=48
Step-by-step explanation:
Find the slope of a line that passes through the following
ordered pairs. Reduce to lowest terms.
(4, 6) (2,0)
Answer:
-6/6 = -1
Step-by-step explanation:
y2 - y1 0 - 6 -6
x2 - x1 2 - 4 6 simplify and you get -1
Solve 7x + 2 =4x+11 please i have 100 points to offer
Answer:
x=3
Step-by-step explanation:
7x+2=4x+11 ---> subtract 2 to the other side and subtract 4x to the other side
7x-4x=11-2 ---> combine like terms
3x=9 ---> divide by 3
x=3
Answer:
x = 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
7x + 2 = 4x + 11
Step 2: Solve for x
Subtract 4x on both sides: 3x + 2 = 11Subtract 2 on both sides: 3x = 9Divide 3 on both sides: x = 3Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 7(3) + 2 = 4(3) + 11Multiply: 21 + 2 = 12 + 11Add: 23 = 23Here we see that 23 does indeed equal 23.
∴ x = 3 is the solution to the equation.
What is the slope of a line parallel to slope 2 and Perpendicular to slope 2?
Answer:
The slope the parallel one is 2
the slop for the perpendicular one is -1/2
Step-by-step explanation:
the slope of two parallel lines are the same.
the slope of the two perpendicular lines are the opposite reciprocal.
. The ratio of boys to girls in Ms. Cunningham's class is 2 to 3. There are 21 girls in the class. What is the total number of students in Ms. Cunningham's class?
Answer:
14
Step-by-step explanation:
21 times 2 = 42
42 divided by 3 = 14
Kendra washes windows in an office building. She washes 25 2 5 of the windows on Monday. She washes 13 1 3 of the windows on Tuesday. What fraction of the windows remain for Kendra to wash?
I think you mean 2/5 and not 25 for Monday and 1/3 and not 13 on Tuesday. So i will solve with the fraction.
Answer: The fraction of the windows remaining for Kendra to wash=4/15
Step-by-step explanation:
Step 1
The fraction of windows washed on Monday = 2/5
The fraction of windows washed on Tuesday= 1/3
Fraction remaining to be washed = Total windows - Fraction already washed
Step 255
Fraction already washed=2/5 + 1/3 =6+ 5/15 = 11/15
The total numbers of windows in the office will be represented as 1 whole number since we are dealing with fractions such that the
Fraction remaining to be washed = 1- Fraction already washed
= 1- 11/15 = 15/15-11/15= 4/15
Answer:
Step-by-step explanation:
Which graph represents a nonlinear function?
Answer:
It's the second one :) I think?
5/9 x 9=?
simplify if possible and show the work
Find a formula for the function f(x) such that f′(x)=sin(x) and f(2)=5.
Answer: f(x) = -cos(x) + 4.584
Step-by-step explanation:
we know that f'(x) = sin(x)
if we integrate that, we get:
f(x) = -cos(x) + C
Where C is a constant of integration.
And we also want that:
f(2) = 5
with that relationship we can find the value of C.
f(2) = 5 = -cos(2) + C
(The calculation is done in radians)
5 = -(-0.416) + C
5 - 0.416 = C = 4.584
Then the function is:
f(x) = -cos(x) + 4.584
if hector ran 35.5 kilometers last week and 22.5 kilometers this week how many meters did he run over the last two weeks
Answer:
58000m
Step-by-step explanation:
he ran 35.5km+22.5km=58km
58km(1000m/km)=58000m
Which statement identifies a mistake Anna made if any
Answer:
she didn't make a mistake.Her answer is correct
Hannah took $50.00 to go shopping and she bought 2 shirts for $17.00 each how change did she have left
Answer: Hannah had $16.00 left.
Step-by-step explanation: First, you add $17.00 plus $17.00 or $17.00 times 2 which gives you $34.00. Then, you subtract $50.00 minus $34.00 which gives you $16.00.