1. Billy scored 33 points on a test worth 75 points. What is his percent score?
2. Convert 0.25 into percent
Graph the line Y minus 5X equals -2
Answer:
Step 1. Rewrite in the form of y=mx+b
Step 2. Find and plot 2 points (x and y-intercepts)
Step 3. Connect dots
y=mx+b
y - 5x = -2
y = 5x - 2
Find 2 points
y-intecept = (0, -2)
x-intercept = ?
0 = 5x - 2
2 = 5x
x = 2/5
x-intercept = (2/5, 0)
BRAINLIEST please if this helped!Write the ratio as a ratio of whole numbers in lowest terms
$0.90 to $0.60
Answer:
3:2
Step-by-step explanation:
If you are comparing one data point (A) to another data point (B), your formula would be A/B. This means you are dividing information A by information B. For example, if A is five and B is 10, your ratio will be 5/10.
for this problem we use 0.90 and 0.60, so our ratio is 0.90/0.60
using whole numbers can be converted now by actually dividing these data points and then multiplying to a whole number:
0.9/0.6 = 1.5
1.5 x 2 = 3
this gives 3/2 = 1.5
so we know that the ratio is 3:2 and this is the smallest whole number that it could be
Find the volume of the prism.
A triangular prism. The base triangle has a base of 7 feet and height 3 feet. The height of the prism is 5 feet.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
[tex] \textbf{Let's calculate its volume :} [/tex]
[tex] \textsf{V = Area of Triangle × Height } [/tex][tex] \sf{V = \dfrac{1}{2}\cdot 3 \cdot 7\cdot 5} [/tex][tex] \sf{V= \dfrac{105}{2}} [/tex][tex] \textsf{V = 52.5 ft³} [/tex][tex] \textbf{Volume if the prism is 52.5 ft³} [/tex]
CAN SOMEBODY HELP ME PLEASE
Answer:
vertex (3, -1)y-intercept: (0, 8)x-intercepts: (2, 0), (4, 0)Step-by-step explanation:
You are being asked to read the coordinates of several points from the graph. Each set of coordinates is an (x, y) pair, where the first coordinate is the horizontal distance to the right of the y-axis, and the second coordinate is the vertical distance above the x-axis. The distances are measured according to the scales marked on the x- and y-axes.
__
VertexThe vertex is the low point of the graph. The graph is horizontally symmetrical about this point. On this graph, the vertex is (3, -1).
Y-interceptThe y-intercept is the point where the graph crosses the y-axis. On this graph, the y-intercept is (0, 8).
X-interceptsThe x-intercepts are the points where the graph crosses the x-axis. You will notice they are symmetrically located about the vertex. On this graph, the x-intercepts are (2, 0) and (4, 0).
__
Additional comment
The reminder that these are "points" is to ensure that you write both coordinates as an ordered pair. We know the x-intercepts have a y-value of zero, for example, so there is a tendency to identify them simply as x=2 and x=4. This problem statement is telling you to write them as ordered pairs.
The pentagonal prism below has a base area of 38 units? and a height of 7.4 units.
Find its volume.
270.4
278.4
281.2
294.2
281.2 units³
volume of Prism: Base Area x Height
Here given:
Base Area: 38 units²
Height: 7.4 units
Solve for volume:
38 x 7.4
281.2 units³
Volume:-
Area of base×Height38(7.4)2812/10281.2units²What is the absolute deviation of 4 in this data set?
{6, 22, 14, 9, 11,4}
A. 2
B. 3
C. 7
D. 11
Answer:
7
Step-by-step explanation:
I took the k12 quiz
Answer:
7
Step-by-step explanation:
I took the quiz on K-12 the quiz name is 6.04 Quiz: Mean Absolute Deviation (MAD)
Function or Not a Function
Step-by-step explanation:
problem 10 is function
but problem 9 is not
Please help I’ll give Brainiest
Answer:
3,00043,000412,00014,992____________
3748 x 4 = (3000+700+40+8) x 4
(3000 x 4) + (700 x 4) + (40 x 4) + (8 x 4)
12000 + 2800 + 160 + 32
= 14992
Step-by-step explanation with answer:
3748x4 = (3000+700+40+8) x 4
= 3000x4 + 700x4 + 40x4 +8x4
=12000+2800+160+32
=14992
Find the perimeter of an
equilateral triangle with
height of 42cm.
Answer:
The perimeter of an equilateral traingle with height 42cm is 126cm.
Step-by-step explanation:
Given that the height or edge of an equilateral traingle is 42cm. With this information, we are asked to find the perimeter of an equilateral traingle.
The perimeter of equilateral traingle is defined as the three times of the length of edge. Mathematically;
→ Perimeter = 3a
By substituting the given values in the formula, we get the following results:
→ Perimeter = 3(42)
→ Perimeter = 126
Hence, the perimeter of an equilateral traingle with height 42cm is 126cm.
Additional information:
A triangle has three sides or edges.A triangle has three angles.A triangle has three vertices or corners.The sum of all internal angles of a triangle is always equal to 180 degrees. This is known as the angle sum property of a triangle.The sum of the length of any two sides of a triangle is greater than the length of the third side.There are three types of triangle, Scalene Triangle, Isosceles Triangle, Equilateral Triangle.Area of triangle = 1/2 * b * h.Perimeter of triangle = sum of all sides.Workers took a 10% pay cut to help their company stay open during economic hard
times. What is the reduced annual salary of a worker who originally earned $35,000?
Answer:
$31,500
Step-by-step explanation:
10% = 0.1
100% = 1
1 - 0.1 = 0.9
35,000 x 0.9 = 31,500
Which expression is equivalent to -18a^-2b^5/-12a^-4b^-6
a. 2a^2b^11/3
b. 2a^2b^30/3
c. 3a^2b^11/2
d. 3a^2b^30/2
Answer:
c. 3a^2b^11/2
Step-by-step explanation:
The applicable rule of exponents is ...
(a^b)/(a^c) = a^(b-c)
__
[tex]\dfrac{-18a^{-2}b^5}{-12a^{-4}b^{-6}}=\dfrac{-18}{-12}a^{-2-(-4)}b^{5-(-6)}=\boxed{\dfrac{3a^2b^{11}}{2}}[/tex]
(06.01 MC)
Classify the expression: -2x
Quadratic expression
Linear expression
Cubic expression
Exponential expression
Answer:
Linear expression
Step-by-step explanation:
The greateest exponent on a variable is 1 on x, so it is a linear expression,
Answer: Linear expression
[tex]5x^{2}+|x+1|\ \textgreater \ 0[/tex]
Can someone explain me how this is done? My book says that the answer is R (all numbers), but i get [-1; infinity) and two other roots.
8.5 Exercises
In Exercises 1-20 use the Laplace transform to solve the initial value problem. Where indicated by C/G, graph the solution.
#17.
y" + 3y' + 2y = {
e⁻ᵗ, 0 ≤ t < 1
0, t ≥ 1
y(0) = 1
y'(0) = - 1
We can express the forcing function (the piecewise expression on the right side) in terms of the step function as [tex]e^{-t}(u(t) - u(t-1))[/tex] where
[tex]u(t) = \begin{cases}1&\text{for }t\ge0\\0&\text{otherwise}\end{cases}[/tex]
Let F(s) be the Laplace transform of a function f(t). Now recall the transform pair
[tex]f(t-c) u(t-c) \mapsto e^{-cs} F(s)[/tex]
This means
[tex]e^{-t} u(t) \mapsto \dfrac1{s+1}[/tex]
[tex]e^{-t} u(t-1) = \dfrac1e \times e^{-(t-1)} u(t-1) \mapsto \dfrac{e^{-(s+1)}}{s+1}[/tex]
I assume you're familiar with the transform rule for derivatives of y(t). Now we're ready to take the transform of both sides of the ODE:
[tex]y'' + 3y' + 2y = e^{-t}(u(t) - u(t-1))[/tex]
[tex]\implies \left(s^2 Y(s) - s y(0) - y'(0)\right) + 3 \left(s Y(s) - y(0)\right) + 2 Y(s) = \dfrac{1 - e^{-(s+1)}}{s+1}[/tex]
Plug in the initial values and solve for Y(s) :
[tex]\left(s^2 Y(s) - s + 1\right) + 3 \left(s Y(s) + 1\right) + 2 Y(s) = \dfrac{1 - e^{-(s+1)}}{s+1}[/tex]
[tex](s^2 + 3s + 2) Y(s) - s + 4 = \dfrac{1 - e^{-(s+1)}}{s+1}[/tex]
[tex]Y(s) = \dfrac{1 - e^{-(s+1)} + (s-4)(s+1)}{(s+1)(s^2 + 3s + 2)}[/tex]
[tex]Y(s) = \dfrac{1 - e^{-(s+1)} + (s-4)(s+1)}{(s+1)^2 (s+2)}[/tex]
Consider the partial fraction expansion
[tex]\dfrac1{(s+1)^2(s+2)} = \dfrac a{s+1} + \dfrac b{(s+1)^2} + \dfrac c{s+2}[/tex]
Solve for the coefficients:
[tex]1 = a(s+1)(s+2) + b(s+2) + c(s+1)^2[/tex]
[tex]s = -1 \implies b = 1[/tex]
[tex]s = -2 \implies c = 1[/tex]
[tex]1 = (a+c)s^2 + \cdots \implies a+c = 0 \implies a = -1[/tex]
Hence we can expand Y(s) as
[tex]Y(s) = \dfrac1{(s+1)^2} + \dfrac1{s+2} + \dfrac{e^{-(s+1)}}{s+1} - \dfrac{e^{-(s+1)}}{(s+1)^2} - \dfrac{e \times e^{-(s+2)}}{s+2}[/tex]
The last transform pair we need is
[tex]e^{ct} f(t) \mapsto F(s - c)[/tex]
Now, taking inverse transforms of everything yields
[tex]\dfrac1{(s+1)^2} \mapsto te^{-t}[/tex]
[tex]\dfrac1{s+2} \mapsto e^{-2t}[/tex]
[tex]\dfrac{e^{-(s+1)}}{s+1} \mapsto e^{-t} u(t-1)[/tex]
[tex]\dfrac{e^{-(s+1)}}{(s+1)^2} \mapsto e^{-t} (t-1) u(t-1)[/tex]
[tex]\dfrac{e \times e^{-(s+2)}}{s+2} \mapsto e^{-(2t-1)} u(t-1)[/tex]
and putting everything together gives the same solution as the one provided.
A Spanish test has 30 questions. A student answers 80% correctly.
How many questions does the student answer correctly?
Enter your answer in the box.
questions
Answer:
24
Step-by-step explanation:
Lets start by working out 80% of 30
80% x 30=24
so the student answered 24 questions correctly
Can somebody help me I am a lil confused with the equation
Answer:
a) 7000 x 1.06^t
b) 11156
Step-by-step explanation:
a) This is quite a case of compound interest where you begin with a value (7000) and every year (t) it goes up by a set amount (6%). To mathematically convert this you put 7000 at the start and you convert the 6% into 1.06 since 0.06 is the amount it increases by and the 1 adds the 0.06 to the previous value. The 't' makes it so each year the value increases so 1.06^t where t is 2 would mean 1.06 x 1.06 which is basically what happens every year.
b) Since it is 8 years later (2008 - 2000), you substitute t for 8 to find the range which is 7000 x 1.06^8 = 11156.9365 which rounds down to 11156 as that's what you do when talking with whole numbers as a new fox isn't quite there yet.
HELP DUE ON FRIDAY
Some sewing supplies are stored in a container that is 5 inches tall, 7 inches wide, and 12 inches long a. Label the picture of the box with its dimensions b. What is the volume of the box?
What are all the solutions to the equation sin 2x = 2sin x in the interval [0, 2π)?
{π}
{0, π}
{pi over 2}
{pi over 2, 3 times pi over 2}
[tex]sin(2x) = 2sin(x) \\ 2sin(x)cos(x) = 2sin(x) \\ sin(x)cos(x) = sin(x) \\ sin(x)cos(x) - sin(x) = 0 \\ \sin(x) (cosx - 1) = 0 \\ \sin(x) = 0 \\ x = \pi \: or \: x = 0 \\ cos(x) = 1 \\ x = 0 \: or \: x = \pi \\ \\ s[/tex]
[tex]s = > {0 < = > \pi}[/tex]
The formula d = 52t+65t can be used to find the distance, d, between two
cars after traveling t hours in opposite directions. After how many hours will
the distance between the two cars be 234 miles?
Answer: t=2
Step-by-step explanation:
add the t's and calculate
Given that f(x) = 2x - 4 and g(x) = 2x + 8, determine gf(3)
[tex]\text{Given that,} ~f(x) = 2x-4~~ \text{and}~~ g(x) = 2x+8\\\\ g(f(3))\\\\=g(2\cdot 3 -4)\\\\=g(2)\\\\=2(2)+8\\\\=4+8\\\\=12[/tex]
Simplify
5x²-x+ 9 =
X=3
Answer:
51
Step-by-step explanation:
you plug in 3 for x.
5(3)^2 - 3 + 9
5(9) - 3 + 9
45-3+9
51
Answer: 5x^2+6
Step-by-step explanation: sorry if wrong
What is the equation of the line in slope-intercept form?
Answer:
Step-by-step explanation:
Its a linear function it goes throw the y-x Axis and is in a striaght line.
Answer:
y = [tex]\frac{5}{2}[/tex] x + 5
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 ) = (- 2, 0) and (x₂, y₂ ) = (0, 5) ← 2 points on the line
m = [tex]\frac{5-0}{0-(-2)}[/tex] = [tex]\frac{5}{0+2}[/tex] = [tex]\frac{5}{2}[/tex]
the line crosses the y- axis at (0, 5 ) ⇒ c = 5
y = [tex]\frac{5}{2}[/tex] x + 5 ← equation of line
50 points + brainlest if you answer correctly
Answer:
5 is the value which makes the equation true .Step-by-step explanation:
In this question we have provided an equation that is 9 ( 3x - 16 ) + 15 = 6x - 24 . And we are asked to write the steps to solve the equation with explanation and to find the value of X .
Solution : -
[tex] \longmapsto \quad \: 9(3x - 16) + 15 = 6x - 24[/tex]
Step 1 : Solving parenthesis on left side using distributive property which means multiplying 9 with 3x as well as -16 :
[tex] \longmapsto \quad \:27x - \bold{144 }+ \bold{15 }= 6x - 24[/tex]
Step 2 : Solving like terms on left side that are -144 and 15 :
[tex] \longmapsto \quad \:27x -129 = 6x - 24[/tex]
Step 3 : Adding 129 on both sides :
[tex] \longmapsto \quad \:27x - \cancel{129} - \cancel{129} = 6x \bold{ - 24 } + \bold{129}[/tex]
Now on cancelling -129 with 129 on left side and solving the terms that are -24 and 129 on right side , We get :
[tex] \longmapsto \quad \:27x = 6x + 105[/tex]
Step 4 : Subtracting with 6x on both sides :
[tex] \longmapsto \quad \: \bold{27x} - \bold{6x} = \cancel{6x} +105 - \cancel{ 6x}[/tex]
On calculating further, We get :
[tex] \longmapsto \quad \:21x = 105[/tex]
Step 5 : Now we are Dividing with 21 on both sides so that we can isolate the variable that is x :
[tex] \longmapsto \quad \: \dfrac{ \cancel{21}x}{ \cancel{21}} = \dfrac{105}{ 21} [/tex]
Now , by cancelling 21 with 21 on left side , We get :
[tex] \longmapsto \quad \:x = \cancel{\dfrac{105}{21}} [/tex]
Step 6 : Now our final step is to simplify the value of x that is 105/21 . We know that 21 × 5 is equal to 105 . So :
[tex] \longmapsto \quad \: \purple{\underline{\boxed{\frak{ x = 5 }}}}[/tex]
Henceforth , value of x is 5Verifying : -
Now we are verifying our answer by substituting value of x in the given equation . So ,
9 ( 3x - 16 ) + 15 = 6x - 249 [ 3 ( 5 ) - 16 ] + 15 = 6 ( 5 ) - 249 ( 15 - 16 ) + 15 = 30 - 249 ( -1 ) + 15 = 6-9 + 15 = 66 = 6L.H.S = R.H.SHence , Verified .Therefore, our value for x is correct that means it'll makes the equation true .
#Keep LearningSolve for x and explain your steps in detail using the R-E-S-T Method
8x - 4 = 92
Answer:
12
Step-by-step explanation:
you add 92 with the 4 and get 96 then you divide the 8x with the 96 and get 12
Hope it helps <333
x = 12
Calculations ↓Our goal is to find the value of x .
To find the value of x we need to get x by itself .
The first step is to move all numbers to the right . Luckily , there's only one number here : 4.
So we add 4 on both sides :
8x=96
Now divide by 8 on both sides :
x = 12
So the value of x is 12.[tex]\footnotesize\text{hope\:helpful~}[/tex]
What number is represented by point P? State your answer in scientific notation
and in standard form.
Answer:
5.7×10^-30.0057Step-by-step explanation:
Point P is marked in the expanded view on the 7th mark of the 10 marks between 5×10^-3 and 6×10^-3. That means it is representing ...
(5 +7/10)×10^-3 = 5.7×10^-3 . . . . scientific notation
__
The -3 exponent of 10 means the multiplier of the value is 1 in the 3rd place to the right of the decimal point: 0.001. So, the standard form of the number is ...
5.7×0.001 = 0.0057 . . . . . standard form
Bo and Erica are yoga instructors. Between the two of them, they teach 48 yoga classes each week. If Erica teaches 12 fewer than twice as many as Bo, how many classes does each instructor teach per week?
Solve the equation 64x2 − 144 = −23 by using square roots.
x = ±11/8
x = ±3/2
no real solutions
x = ±7/4
Answer:
The answers are:x = ±7/4x = ±3/2x = ±11/8
yww:)
Answer:
Option A, [tex]x =[/tex] ± [tex]11/8[/tex]
Step-by-step explanation:
Step 1: Add 144 to both sides
[tex]64x^2 - 144 = -23[/tex]
[tex]64x^2 - 144 + 144 = -23 + 144[/tex]
[tex]64x^2 = 121[/tex]
Step 2: Divide both sides by 64
[tex]\frac{64x^2}{64} = \frac{121}{64}[/tex]
[tex]x^2 = 1.890625[/tex]
Step 3: Square root both sides
[tex]\sqrt{x^2} = \sqrt{1.890625}[/tex]
[tex]x =[/tex] ± [tex]1.375[/tex]
[tex]x =[/tex] ± [tex]11/8[/tex]
Answer: Option A, [tex]x =[/tex] ± [tex]11/8[/tex]
Responder
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#3
e
100% Q
Twelve people are participating in a community walking fund raiser. Each person has to contribute equally to walking a total distance of
28.375 miles.
What will be the distance walked by each person to the nearest thousandth of a mile?
A 2.355 miles
OB 2.365 miles
OC 2.455 miles
OD 2.465 miles
Previous
Answer:
B. 2.365
Step-by-step explanation:
Divide total distance by total people in order to get distance each person traveled.
28.375 miles / 12 = 2.36458333.......
If you round taht to nearest thousandth of a mile, the answer is: 2.365
9) Find the domain of the inverse
Answer:
Domain is all real numbers
Range is (3, ∞) or y > 3
Step-by-step explanation: