Answer:
[tex]y = \frac{x - 3}{2}[/tex]
Step-by-step explanation:
To find the inverse of a function, simply 'switch' the x and y's and solve for y. [tex]y = 2x + 3[/tex] becomes [tex]x = 2y + 3[/tex]. Now, solving for y, we get [tex]y = \frac{x - 3}{2}[/tex].
hope this helped! :)
I need a genuine answer. Don't answer if you don't know. Need a proper explanation.
Answer:
Step-by-step explanation:
If m and n are both 1 then
Minimum value = 10^(1+1) * 3^(1-1) * 225
= 325.
If m and n have to be different, then m = 2 and n = 1
Minimum value = 10^3 * 3^1 * 15^2
= 675,000.
In a class of 34 students
12 study German
• 25 study Spanish
6 do not study either language.
One student in the class is selected at random.
Find the probability that this student studies both languages.
Answer:
Step-by-step explanation:
which graph corresponds with the equation [tex]f(x)=\frac{1}{2 } (x+1)^{2} +2[/tex]
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
The given equation is a Quadratic equation, so it's graph must be a parabola, and the Coefficient of x² is positive that means the parabola must have an opening upward.
And 2 is added to the ideal equation, so the parabola must have shift 2 units up from x - axis.
From the above information, we can easily conclude that the Correct representation is done in graph 4
What is the answer please?
Answer: D (bottom option)
Not Congruent
Step-by-step explanation:
Assuming the trapezoids are to scale, they are not the same shape. This means that they could not be congruent even if they were centered on top of each other.
Version B
We have worked with Ferris Wheels above
ground, but what if a portion of it went
underground and traveled in a clockwise
direction?
Details;
The Ferris Wheel has a diameter of 80
ft
The Ferris Wheel center is 20 feet
below the ground
The Ferris Wheel rotates in a clockwise
direction
The rider enters on ground level on
the right side of the wheel.
It takes 1 minute for 1 ½ rotations.
Your task:
Sketch a diagram that showcases this
scenario with labels and
measurements.
Determine the angular speed.
Develop an equation for the height of
the rider while on the ride.
Construct a graph (height vs. time).
Make sure both axes are labeled with
all landmark points.
Provide a statement, explaining the
relationship between your graph and
the rider's position on the wheel.
When will they be above ground and
below?
Calculate the rider's total distance
traveled from the moment they get on
at ground level on the right to the
other point on ground level on the left
where they get off.
An example of how to sketch the Ferris Wheel diagram is given in the image attached.
What is the angular speed about?To solve for the angular speed, you can use the formula of"
Given that the diameter is 80 feet, so we know the radius will be 40 feet.
The Ferris wheel bottom is 20 feet high, so we add the radius we get that the middle of the Ferris wheel is 60 feet high.
Finally, the Ferris wheel completes 1 ½ rotation (2π radians) in 1 minutes. So we say that the Ferris wheel is said to spins at π rad/min.
Angular velocity ( 1 ½ rev/1min)( 1min/60 sec)
C = 2π(60)
C ≈ 377.04 feet
540 revolution (1 ½ rotations) is 60 seconds, the speed is then
s = d/t
s = 377.06 ft / 60 sec
s = 6.28 ft/sec
To plot the graph, the final equation will be h(t) = 40sin(πt + π/2) + 60.
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is 2-3y a binomial or a trinomial or polynomial or monomial
Answer:
binomial
Step-by-step explanation:
i learned about binomials
Augustus is trying to make chocolate milk. He has made a 10% chocolate milk solution (this means that the solution is 10% chocolate and 90% milk). He has also made a 25% chocolate milk solution. Unfortunately, the 10% solution is too weak, and the 25% solution is way too chocolaty. He has a whole lot of the 10% solution, but he has only 30 gallons of the 25% solution. How many gallons of 10% solution should he add to the 25% solution to make a mixture that is 15% chocolate?
Answer:
60 gallons
Step-by-step explanation:
The amount of 10% solution he should add can be found by writing an equation for the total amount of chocolate in the mix.
__
Let x represent the amount of 10% solution that Augustus needs to add to the 30 gallons of 25% solution. The amount of chocolate in the resulting 15% mix is ...
0.10x +0.25(30) = 0.15(x +30) . . . . gallons of chocolate in the mix
0.10(30) = 0.05x . . . . . . . . subtract 0.10x +0.15(30)
60 = x . . . . . . . . . . . . divide by 0.05
Augustus should add 60 gallons of the 10% solution to make a 15% mixture.
Translate the phrase into an algebraic expression.The product of 4 and b
Answer:
the answer is 4×b=4b
Step-by-step explanation:
product=×
4×b=4b
Tiana has $70 in an account. The interest rate is 5% compounded annually.
To the nearest cent, how much will she have in 1 year?
Answer:
$73.5
Step-by-step explanation:
*1.05 interest every year
so all you have to do is 70*1.05=73.5
Answer: $73.5
Step-by-step explanation:
[tex]\huge\color{yellow}\underline \colorbox{violet} {\color{red}{QUESTION}}[/tex]
Direction:Find the volume of each solid figure below.
correct answer=brainles
nice answer=rate 5 star
explanation=heart
incorrect=report
no explanation=report
Explanation:
Volume of rectangular prism: Length * Width * Height
Solve:
1)
Volume: 9 * 9 * 9 = 9³ = 729 cm³
2)
Volume: 7 * 3 * 2 = 42 m³
3)
Volume: 7 * 7 * 7 = 7³ = 343 cm³
12% of 59.7 is what number?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{12\% of 59.7}}{\left( \cfrac{12}{100} \right)59.7}\implies 7.164[/tex]
Type the correct answer in the box. use numerals instead of words. a population of beetles increases by 5% every year. if at the start of the year the population is at 10,000 beetles, what will its population be after three years? at the end of the third year the population of beetles will be .
From the calculations, we can see that the number of beetles after three years is 11618 beetles.
What is an exponential problem?The term "exponential problem" has to do with any problem in which the increase or decrease occurs exponentially.
In this case we have P = Poe^rt
Po = 10,000
r = 0.05
t = 3
P = 10,000 e^(0.05 * 3)
P= 11618 beetles
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In the circle below, stack A D with bar on top is a diameter and stack A B with left right arrow on top is tangent at A. Suppose m stack A D C with overparenthesis on top equals 224 degree.
Find the measures of m angle C A B and m angle C A D. Type your numerical answers (without units) in each blank.
m angle C A B =
64
degree
m angle C A D =
26
degree
A circle with a diameter labeled A D, chord A C. A line tangent to the circle at E and that goes through point B on the outside of the circle.
The measure of angle ∠CAB will be 68 degrees and the measure of angle ∠CAD will be 22 degrees.
What is a circle?It is the center of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
In the circle below, stack AD with a bar on top is diameter and stack AB with a left-right arrow on top is tangent at A. Suppose m stack ADC with over parenthesis on top equals 224 degrees.
Then the measures of m angle ∠CAB and m angle ∠CAD will be
Then we have
We know that
mADC = mAD + mDC
224° = 180° + mDC
mDC = 44°
Then we know the theorem, A chord's degree in the centre is double that of the chord's degree at the perimeter. Then we have
2 ∠CAD = 44°
∠CAD = 22°
Then the angle ∠CAB and angle ∠CAD are complementary angles. Then we have
∠CAB + ∠CAD = 90°
∠CAB + 22° = 90°
∠CAB = 68°
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h(n)=63⋅(− 3 1 ) n h, left parenthesis, n, right parenthesis, equals, 63, dot, left parenthesis, minus, start fraction, 1, divided by, 3, end fraction, right parenthesis, start superscript, n, end superscript Complete the recursive formula of h(n)h(n)h, left parenthesis, n, right parenthesis.
The recursive function is h(n) = -1/3h(n - 1) where h(0) = 63
How to complete the recursive function?The function is given as:
[tex]h(n) = 63* (-\frac{1}{3})^n[/tex]
Set n to 0
[tex]h(0) = 63* (-\frac{1}{3})^0[/tex]
Evaluate
h(0) = 63
This means that the function h(n) has the following parameters:
First term = 63
Rate = -1/3
Hence, the recursive function is h(n) = -1/3h(n - 1) where h(0) = 63
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help asap????????!!!
Answer:
................
Step-by-step explanation:
LOOK AT THE PICTURE BELOW PLEASE!
Answer:
50
Step-by-step explanation:
Each question is 6%/3 = 2% worth. If each question is worth 2% then total questions must be 50 (cuz that would be 2% x 50 (total question) = 100%).
Which is a set of collinear points?
A) G, H, I
B) L, H, I
C) G, H, J
D) G, I, J
Need some help, thanks in advance!
Answer: = 3 acres per day
Showing Work
This is a fraction equal to
3 acres ÷ 1 days
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 1
3 acres ÷ 1
__________
1 days ÷ 1
=
3 acres
_____
1 day
=
3 acres
______
day
= 3 acres per day
PLEASEEEEE
Match the expressions with their simplified versions.
Answer:
1. [tex]\normalsize \boxed{\textsf{$4\sqrt{2}\cdot\sqrt{2}$}} \implies \boxed{8}[/tex]
2. [tex]\normalsize \boxed{\textsf{$3\sqrt{7}-2\sqrt{7}$}} \implies \normalsize \boxed{\textsf{$\sqrt{7}$}}[/tex]
3. [tex]\normalsize \boxed{\textsf{$\dfrac{\sqrt{7}}{2\sqrt{7}}$}} \implies \normalsize \boxed{\textsf{$\dfrac{1}{2}$}}[/tex]
4. [tex]\normalsize \boxed{\textsf{$2\sqrt{5}\cdot 2\sqrt{5}$}} \implies \boxed{20}[/tex]
Step-by-step explanation:
The Radical Rules by Lial et al. (2017) state that:
Product rule: [tex]\large \textsf{$\sqrt[n]{a}\cdot\sqrt[n]{b}=\sqrt[n]{ab}$}[/tex]
"The product of two roots is the root of the product."Quotient rule: [tex]\large \textsf{$\sqrt[n]{\dfrac{a}{b}}=\dfrac{\sqrt[n]{a}}{\sqrt[n]{b}}$}\ \ \textsf{$(b \neq 0)$}[/tex]
"The root of a quotient is the quotient of the roots."1.
[tex]\implies \normalsize \textsf{$4\sqrt{2}\cdot\sqrt{2}$}\\\\\normalsize \implies \textsf{$4\sqrt{2\cdot2}$}\\\\ \implies \normalsize \textsf{$4\sqrt{4}$}\\\\ \implies\normalsize \textsf{$4\cdot 2 = 8$}[/tex]
[tex]\normalsize \boxed{\textsf{$4\sqrt{2}\cdot\sqrt{2}$}} \implies \boxed{8}[/tex]
2.
[tex]\implies \normalsize \textsf{$3\sqrt{7}-2\sqrt{7}$}\\\\ \implies\normalsize \textsf{$(3-2)\sqrt{7}$}\\\\ \implies\normalsize \textsf{$1\sqrt{7}$}\\\\ \implies\normalsize \textsf{$\sqrt{7}$}[/tex]
[tex]\normalsize \boxed{\textsf{$3\sqrt{7}-2\sqrt{7}$}} \implies \normalsize \boxed{\textsf{$\sqrt{7}$}}[/tex]
3.
[tex]\implies \normalsize \textsf{$\dfrac{\sqrt{7}}{2\sqrt{7}}$}\\\\\\ \implies\normalsize \textsf{$\dfrac{1\sqrt{7}}{2\sqrt{7}}$}\\\\\\ \implies\normalsize \textsf{$\dfrac{1}{2}$}\\\\[/tex]
[tex]\normalsize \boxed{\textsf{$\dfrac{\sqrt{7}}{2\sqrt{7}}$}} \implies \normalsize \boxed{\textsf{$\dfrac{1}{2}$}}[/tex]
4.
[tex]\implies \normalsize \textsf{$2\sqrt{5}\cdot 2\sqrt{5}$}\\\\ \implies\normalsize \textsf{$2\cdot2\sqrt{5\cdot5}$}\\\\ \implies \normalsize \textsf{$4\sqrt{25}$}\\\\ \implies \normalsize \textsf{$4\cdot5=20$}\\\\[/tex]
[tex]\normalsize \boxed{\textsf{$2\sqrt{5}\cdot 2\sqrt{5}$}} \implies \boxed{20}[/tex]
Reference:
Lial, M., Hornsby, J., Schneider, D., & Daniels, C. (2017). College Algebra and Trigonometry, Global Edition (6th ed., p. 94).
1. Find the vertex, (x, y) x-value is the number inside the brackets, but take the opposite of its; y-value number outside at the back of the bracket: (4,8)
Answer:
9y(c=7) witch means the answer is 8,6
Step-by-step explanation:
I took it and got 5 out of 5 right ✅
Ill give brainless to whoever can help me with this problem
When 1,250 superscript three-fourths is written in its simplest radical form, which value remains under the radical?
The number that still remains under the radical when the expression is in its simplest form is 8.
What is a radical?
A radical refers to a root form. In this case, we can write this number as; 1,250^3/4.
If we try to simplify this in line with the laws of indicies, we have; 4√(1250)^3. If we simpify further, we obtain; (125)4√8.
Thus, the number that still remains under the radical when the expression is in its simplest form is 8.
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Which expression calculates the time in hours and object takes to travel 38 miles at the speed of 2 m/h?
38/2
38—2
38+2
38 • 2
Reason:
Distance = rate*time
time = distance/rate
time = (38 miles)/(2 mph)
time = 38/2 hours
time = 19 hours
can someone please help me solve these questions i need them for school
ΔAGF ≅ ΔCGE because they are both created from perpendicular diagonals that are intersected at the midpoint by line FE.
What are Perpendicular lines?A perpendicular line is a straight line that is at right angle with another line. That is both lines intersect each other at right angles.
Lines EG and FG are ≅ because the are dissected by a line that runs through the diagonal of rectangle ABCD
Lines JK ≅ HL because they are both created by parallel lines JL and HI.
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In this figure: the value of “y” that makes the quadrilateral “A B C D” a parallelogram is:
Answer:
y = 10
Step-by-step explanation:
if the figure is to be a parallelogram, then
∠ ACB and ∠ DAC are alternate angles and are congruent , that is
5y - 13 = 7 + 3y ( subtract 3y from both sides )
2y - 13 = 7 ( add 13 to both sides )
2y = 20 ( divide both sides by 2 )
y = 10
Find the measure of all sides. Round to the nearest tenth.
Answer:
the value of x=9 and AB(h)=9.396
Can someone help me please
Answer:
∠A≅∠Y AB≅YZ
∠B≅∠Z AC≅YX
∠C≅∠X BC≅ZX
ΔABC≅ΔYXZ
Step-by-step explanation:
congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle
PLLLLEASE help- geometry
Answer: Reflection, translation
Step-by-step explanation:
Geri built a pencil box in the shape of a right rectangular prism. the amount of space inside of the box is 176 cubic inches. what is the height of geri’s pencil box? a rectangular prism with a length of 8 inches, width of 11 inches, and height of question mark. 2 inches 4 inches 8 inches 9 inches
The height of the pencil box is 2 inches
How to determine the height of the pencil box?The given parameters are:
Volume = 176
Length = 8
Width = 11
The height of the pencil box is calculated using
Height = Volume/(Length * Width)
So, we have:
Height = 176/(8 * 11)
Evaluate
Height = 2
Hence, the height of the pencil box is 2 inches
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Answer:
2 Inches
Step-by-step explanation:
Good Luck
PLEASE HELP ASAP PLEASEEEE
show calculations: √(x^2-8x+16) if x≥4
Answer:
If we square both sides then we get
x2-8x+16 = (x-4)2
Now if we expand the right side of the equation we get
x2-8x+16 = (x-4)(x-4)
x2-8x+16 = x2-8x+16
So no matter what x is, the right side will be equal to the left side.
However, if we look at the original equation on the left side, √(x2-8x+16) , the value under the square root symbol has to be greater than or equal to zero (otherwise we get an imaginary number and you might not be working with those yet)
Step-by-step explanation:
So in order for √(x2-8x+16) to be greater than or equal to zero, x has to be greater than or equal to 4. If x is less than 4 you get a negative number. If x is greater than 4, you'll get the same answer on both sides no matter what x is
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {x}^{2} - 8x + 16} [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {x}^{2} - 4x - 4x + 16} [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {x}^{} (x - 4) - 4(x - 4)} [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ (x - 4)(x - 4)} [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ (x - 4) {}^{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \: x - 4[/tex]
Now, it's given that ~
[tex]\qquad \sf \dashrightarrow \:x \geqslant 4[/tex]
plug the value of x as 4 :
[tex]\qquad \sf \dashrightarrow \:4 - 4[/tex]
[tex]\qquad \sf \dashrightarrow \:0[/tex]
So, we can infer that :
Value of the required expression lies in :
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {x}^{2} - 8x + 16} \geqslant 0[/tex]
it's value is always greater than pr equal to 0, satisfying the given condition ~
