Step-by-step explanation:
2×2×4=16
Hope it helps uß
5^-4 over 5^3
simplify
A. 5^7
B. 5^-1
C. 1/5
D. 1/5^7
Answer:
D is the correct answer.
Why is it useful to have different forms of linear equations?
Linear equation is the equation of a straight line.
Forms of a linear equation
The forms of a linear equation are:
Slope intercept form - [tex]\mathbf{y = mx + b}[/tex].Point slope form - [tex]\mathbf{y - y_1 = m (x - x_1)}[/tex].Standard form - [tex]\mathbf{Ax +Bx = C}[/tex].Slope intercept form
From the slope intercept form, one can easily deduce the slope and the y-intercept of the linear equation
Point slope form
From the point-slope form, one can easily deduce the slope and the points of the graph of the linear equation
Standard form
From the standard form, the values of x and y can be easily calculated.
Hence, the usefulness of having different forms of linear equation is that they all serve different purposes, even through they represent the same graph.
Read more about linear equations at:
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an isosceles triangle is such that AC=BC and has vertices A=(3,4), B=(7,4) and C=(5,8) a) Calculate the length of AC B) the line of symmetry of the triangle meets the line AB at M what are the coordinates of M
Answer:
Step-by-step explanation:
A( 3 , 4) & C(5 , 8)
Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
[tex]AC = \sqrt{(5-3)^{2}+(8-4)^{2}}\\\\=\sqrt{(2)^{2}+(4)^{2}}\\\\=\sqrt{4+16}\\\\=\sqrt{20}\\\\= 4.47 units[/tex]
M is the midpoint of AB
A(3,4) &B(7,4)
[tex]M(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\\\M(\frac{3+7}{2},\frac{4+4}{2})\\\\M(\frac{10}{2},\frac{8}{2})[/tex]
M(5,4)
The number of pounds of one-dollar-a-pound
coffee needed to mix with 80 pounds of 70¢ a
pound coffee to make a mixture worth 84¢ a
pound is
(A) 70
(B) 80
(C) 95
(D) 65
Answer:
A
Step-by-step explanation:
Let's say we need x pounds of one-dollar-a-pound coffee . The coffee must average out to 84 cents a pound, and the formula for average is
sum of cost of coffee / number of pounds of coffee, so we have
0.84 = total cost of coffee / (x+80) . The total cost of coffee can be found to be the sum of the cost of $1 coffee and 70 cent coffee, so we have
0.84 = (cost of $1 coffee + cost of 70 cent coffee) / (x+80)
The cost of $1 coffee can be found by adding $1 for each pound of one dollar coffee, or $1 * x. Similarly, the cost of 70 cent coffee is equal to 0.70 * 80, so we have
0.84 = (1*x+0.7*80)/(x+80)
0.84 = (x+56)/(x+80)
multiply both sides by (x+80) to remove a denominator
0.84(x+80) = x+56
0.84x + 67.2 = x+56
subtract both sides by 56 and 0.84x to isolate the x and its coefficients
11.2 = 0.16 x
divide both sides by 0.16 to isolate x
11.2/0.16 = x = 70
The number of pounds of a constituent in a mixture given the cost of the
mixture and the cost and mass of the other constituent can be calculated
by using an equation to model the system
The correct option for the number of pounds of one-dollar- pound coffee needed is option A
(A) 70 pounds
The procedure for arriving at the correct option is as follows:
The given parameters are;
The cost of the the coffee for which the mass in the mixture is to be determined = One-Dollar a pound = 100 ¢ a pound
The mass of the coffee 70¢ a pound coffee to be mixed = 80 pounds
The cost per pound of the mixture = 84 ¢ a pound
The required parameter;
The number of pounds of the one-dollar-a-pound (100 ¢ a pound) coffee in the mixture
Method:
Let x (pound) represent the number of pounds of the one-dollar-a-pound coffee in the mixture, we have;
Mass of mixture = Mass of the one-dollar-a-pound in the mixture, x + Mass of 70 ¢ a pound in the mixture, 80
∴ Mass of mixture in pounds = x + 80
Cost = Cost per pound × Number of pound
Find solution by applying the equation;
Cost of the constituents = Cost of the mixture
Where;
Cost of the constituents = $1 × x + 70 ¢ × 80 = 100 ¢ × x + 70 ¢ × 80
Cost of the mixture = 84 ¢ × (x + 80)
Therefore;
100 ¢ × x + 70 ¢ × 80 = 84 ¢ × (x + 80)
The above can be expressed as 100·x + 70×80 = 84 × (x + 80)
Expanding, evaluating and collecting like terms gives;
100·x + 5,600 = 84·x + 6,720
100·x - 84·x = 6,720 - 5,600 = 1,120
16·x = 1,120
x = 1,120/16 = 70
The number of pounds of one-dollar- pound coffee needed, x = 70 pounds
Learn more about equation modelling here;
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Please help explanation if possible
Answer:
(1, - 2 )
Step-by-step explanation:
Given the equations
3x - 4y = 11 → (1)
y + 3x = 1 ( subtract 3x from both sides )
y = 1 - 3x → (2)
Substitute y = 1 - 3x into (1)
3x - 4(1 - 3x) = 11 ( distribute and simplify left side )
3x - 4 + 12x = 11
15x - 4 = 11 ( add 4 to both sides )
15x = 15 ( divide both sides by 15 )
x = 1
Substitute x = 1 into (2) for corresponding value of y
y = 1 - 3(1) = 1 - 3 = - 2
solution is (1, - 2 )
Use the graph to find the constant of proportionality (unit rate)
Answer:
9) 10
10) 5
Step-by-step explanation:
can someone please help me solve this?
Answer:
-15
Step-by-step explanation:
df(x, y) / dy = lim (f(x, y+h) - f(x, y)) / h =
lim (e^x^2 - 15y - 15h - e^x^2 ‐ 15y) / h = lim -15h / h = -15
so, the first derivative of f(x,y) by y is simply a constant : -15
fy (x, y) = -15 for any and every values of x and y.
the fast track would be derivative calculation :
the derivative by y makes x a constant. and every constant is eliminated for derivation.
so, e^x^2 goes away (= 0 in the derivative).
that leaves -15y = -15×y¹. its derivative simply is
1×-15×y⁰ = -15
An exponential function fx) is reflected across the y-axis to create functiong(x). Which is a true statement
regarding fa) and g(x)?
The two functions have no points in common
The two functions have the same initial value
The two function have opposite output values of each other for any given input value
The graph of the two functions would look exactly the same
Intro
Answer:
The two functions have the same initial value
2.) Find the measure of exterior angle X:
Answer:
x = 90
Step-by-step explanation:
Here 60 is angle B, 30 is Angle a, B is The third angle of the triangle, and x is the exterior angle measurement!
60 + 30 + b= 180
a + x = 180
60 + 30 + b= 180
90 + b = 180
b = 90
90 + x = 180
x = 90
Note:exterior angle equal to the sum of its two opposite non-adjacent interior angles.
I’m having a lot of trouble, can someone guide me, step by step?
Answer:
Hi hopefully this helps you!
Step-by-step explanation:
To find the area of a circle you can use the formula A = πr^2
The radius of a circle is just the diameter divided by 2. In this case we know the diameter is 3, so the radius is 1.5
A = π(1.5)^2
= 7.07
Because this is a semicircle, divide this area by 2
= 3.53429 in^2
Add up the area of this semi circle with the area of the rectangle
A = (3.53429) + (3x4)
= 15.53429 in^2
To find the circumference/ perimeter of a circle use this formula C = 2πR
C = 2π(1.5)
= 9.42478 inches
Again because this is a semicircle, divide by 2
= 9.42478 / 2
= 4.71239 inches
To find the perimeter of this entire shape add up the circumference of the semicircle and the rectangle's sides and bottom
P = 4.71239 + 4 + 4 + 3
= 15.71239 inches
So the final answer would be
A = 15.53 squared inches
P = 15.71 inches
Hope this helps! Best of luck in your studies <3
The blue team scored two more than five times the number of points,p, scored by the red team
Write an expression for the problem
Answer:
2 + 5p
Step-by-step explanation:
Hi there!
Let [tex]p[/tex] equal the number of points scored by the red team.
We're given:
The blue team scored two more than five times the number of points scored by the red team.
⇒ blue team points = 2 + (5 × red team points)
⇒ blue team points = 2 + 5p
I hope this helps!
Find the measure of the indicated angle.
Answer:
Does the answer help you?
express p/q form of 0.375
Answer:
15/40
Step-by-step explanation:
[tex]0.375 = \frac{375}{1000} \\ \\ = \frac{15}{40} [/tex]
Select two choices that are true about the function f(x)=23x+14/x
Answer:
There is an asymptote at x = 0
There is an asymptote at y = 23
Step-by-step explanation:
Given the function:
(23x+14)/x
Vertical asymptote is gotten by equating the denominator to zero
Since the denominator is x, hence the vertical asymptote is at x = 0. This shows that there is an asymptote at x = 0
Also for the horizontal asymptote, we will take the ratio of the coefficient of the variables in the numerator and denominator
Coefficient of x at the numerator = 23
Coefficient of x at the denominator = 1
Ratio = 23/1 = 23
This means that there is an asymptote at y = 23
PLS HELP ASAP PLS PLSPLS
What is the explicit formula for this sequence?
6, 2, -2, -6, ...
Answer:
B
Step-by-step explanation:
this is just common sense. if you would have tried you could have easily answered this yourself.
the sequence starts with 6. that is a1.
so, the formula simply has to add "something" to 6.
therefore, A and D are out.
and then we see immediately that the sequence is built by subtracting 4 (or adding -4) for every step.
so, we need to add multiples of -4.
therefore, only B is correct (C adds multiples of +4).
Find the surface area of each figure. Round your answers to the nearest tenth, if necessary
Answer:
268 in ^2
Step-by-step explanation:
SA=2lw+2lh+2hw
width = 4 lenth = 6 height = 11
2(6)(4) + 2(6)(11) + 2 (11)(4)
= 2 (24) + 2(66) + 2 (44)
= 48 + 132 + 88
= 268 in ^2
Answered by G a u t h m a t h
simplify (5^0+4^-0•5)^2
Answer:
anything raised to the power of zero= 1
(1+1/4^½)²
(1 + 1/2)²
(3/2)²
9/4
=2.25
If a polynomial function has n degree, then it can have at most (n - 1) ____________ in the graph.
9514 1404 393
Answer:
turning points
Step-by-step explanation:
The number of turning points is the number of real zeros in the derivative polynomial. As you know, the number of real zeros of a polynomial is at most the polynomial degree.
The degree of the derivative is always 1 less than the degree of the polynomial. So, a polynomial of degree n will have at most (n-1) turning points.
I
7. The total cost to rent a truck is $100 and $0.20 per km.
a. Determine an algebraic model for the relationship between total cost and distance driven. Use C to
represent total cost (S) to rent the truck and d to represent distance driven (km).
Answer:
C= 100+ d*0.2
Step-by-step explanation:
Give data
Cost of rental = $100
Cost per km= $0.2
Total cost= C
Distance= d
Let us model the expression
Hence the expression is given as
C= 100+ d*0.2
help me please!!! :)
Answer:
D
Step-by-step explanation:
f(x) = x^2+1 at x=-1, f(-1)=1+1=2
Write an equation of the line. What is the equation of the line?
Answer:
y=-1
Step-by-step explanation:
As the line is horizontal in nature and pass through (2,-1), the equation is y=-1
help me with this math question please
Answer:
$44.00 + $85.00 = $129.00
Step-by-step explanation:
The least amount that she needs is $129.00 because we're summing the amount for food and House Rent.
Movies and Shopping are less important.
Help me please and thank you
Answer:
Below
Step-by-step explanation:
The domain tells you if there are any restrictions on the x's
The -5 in the function tells us that it has moved 5 units RIGHT from the original parent function. Because of this, any x coordinates have to be bigger or equal to 5!
So, the domain of this function is x >/ 5
Hope this helps!
Identify the glide reflection rule in the given figure.
Question 8 options:
Translation: (x,y) → (x – 5,y); Reflection across y-axis
Translation: (x,y) → (x,y – 5); Reflection across y-axis
Translation: (x,y) → (x,y + 5); Reflection across y-axis
Translation: (x,y) → (x,y + 5); Reflection across x-axis
Answer:
B
Step-by-step explanation:
The shape clearly is reflected across y axis and the x coordinates remain the same. We can see a change in the y coordinates and the shape has shifted 5 units down. Hence (x, y) -> (x, y-5) and then reflection across y axis is the answer
Answer:
B
Step-by-step explanation:
Davina uses a diagram to demonstrate the Pythagorean Theorem.
3
hypotenuse
How are the squares related to the sides of the triangle?
The area of each square is equal to the square of the length of the side to which it is adjacent.
The area of each square is equal to the length of the side to which it is adjacent.
The sum of the areas of the squares is equal to the square of the perimeter of the triangle.
The perimeter of each square is twice the length of the side of the triangle squared.
Answer:
the first option : The area of each square is equal to the square of the length of the side to which it is adjacent.
Convert 13pi/6 to a degree measure
A=390
B=2450.44
C=30
D=780
Answer:
390 degrees
Step-by-step explanation:
The conversion factor is 180/pi
13 pi /6 * 180/pi
13/6 *180
390
Find x.
A. √-2
B. 4
C. √2/2
D. √6/2
Answer:
sqrt(2)
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 45 = x/2
2 sin 45 =x
2 (sqrt(2)/2) =x
sqrt(2) =x
.
Use the table provided to find an exponential model ƒ(x) = ab^x, where ƒ is the population of Arizona, and the input is the number of years since 2004. Approximate to the thousandth’s place.
ƒ(x) = 5,939,292 • (1.035)x
ƒ(x) = 5,739,879 • (0.965)x
ƒ(x) = 5,739,879 • (1.035)x
ƒ(x) = 5,739,879 • (0.035)x
Answer:
this is the same quiestion i was doing if u get answer plz send me
three decreased by the product of a number and two
a grocery store buys boxes of cereal for $ 2.00 each and sells them for 50% more. what does the grocery store charge its customers for each box of cereal?
Answer:
$3.00
Step-by-step explanation:
First find the markup
2.00 * 50%
2 * .5
1
Add this to the original price
2+1 =3
The store sells the cereal for $3.00
Answer:
$3
Step-by-step explanation:
The grocery store pays $2.00 for each box of cereal bought.
First, find 50% of the cost of each box:
2.00 x 0.50 = 1.00
Next, add the additional amount to the starting price:
2.00 + 1.00 = $3.00
$3.00 is your answer.
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