Answer:
Option A is the correct answer
Step-by-step explanation:
(3 × 8) + (6 × 8)
24 + 48 = 72
Thus, 9 x 8 = 72
which of the following is an exponential function y=x^1/2 y=2x^3 y=3^x
Answer:
(c) y = 3^x
Step-by-step explanation:
A function is described as exponential if the independent variable is found in the exponent.
Choicesy = x^(1/2) . . . a square root function, not exponential
y = 2x^3 . . . . a cubic (polynomial) function, not exponential
y = 3^x . . . . . an exponential function
name of devices is used for drawing curves which can't be drawn by a compass
For questions 3-4, use the graph of the polynomial function to find the factorization of the polynomial. Assume there is no constant term. 3
3. The factored polynomial is p(x) = (x - 1)(x - 5)
4. The factored polynomial is p(x) = (x + 3)²
What is a polynomial?A polynomial is a mathematical expression in which the power of the unknown is greater than or equal to 2.
3. To factorize the polynomial using the graph, we see that the polynomial cuts the x - axis at x = 1 and x = 5.
This implies that its factors are (x - 1) and (x - 5)
So, the factored polynomial is p(x) = (x - 1)(x - 5)
4. To factorize the polynomial using the graph, we see that the polynomial touches the x - axis at only one point x = -3. So,it has repeated roots
This implies that its factors are (x - (-3)) = (x + 3) twice
So, the factored polynomial is p(x) = (x + 3)²
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Please explain how to do it too ill give brainliest
Answer:
x = 90
Step-by-step explanation:
The given diagram shows a circle with intersecting chords, KM and JL.
To find the value of x, we can use the Angles of Intersecting Chords Theorem.
According to the Angles of Intersecting Chords Theorem, if two chords intersect within a circle, the angle formed at the intersection point is equal to half the sum of the measures of the arcs intercepted by the angle and its corresponding vertical angle.
Let the point of intersection of chords KM and JL be point P.
As the chords are straight lines, angle x° forms a linear pair with angle JPM.
Note: We cannot use the Angles of Intersecting Chords Theorem to find the value of x directly, since we have not been given the measures of the arcs KJ and ML. Therefore, we need to use the theorem to find m∠JPM first.
From inspection of the given diagram:
\(m\overset\frown{JM}=30^{\circ}\)\(m\overset\frown{LK}=(2x - 30)^{\circ}\)Using the Angles of Intersecting Chords Theorem, we can calculate the measure of angle JPM (shown in orange on the attached diagram):
\(\begin{aligned}m \angle JPM &=\dfrac{1}{2}\left(m\overset\frown{JM}+m\overset\frown{LK}\right)\\\\&=\dfrac{1}{2}\left(30^{\circ}+(2x-30)^{\circ}\right)\\\\&=\dfrac{1}{2}\left(30^{\circ}+2x^{\circ}-30^{\circ}\right)\\\\&=\dfrac{1}{2}\left(2x^{\circ}\right)\\\\&=x^{\circ}\end{aligned}\)
As angle JPM forms a linear pair with angle x°, the sum of the two angles equals 180°:
\(\begin{aligned}m \angle JPM+x^{\circ}&=180^{\circ}\\\\x^{\circ}+x^{\circ}&=180^{\circ}\\\\2x^{\circ}&=180^{\circ}\\\\\dfrac{2x^{\circ}}{2}&=\dfrac{180^{\circ}}{2}\\\\x^{\circ}&=90^{\circ}\\\\x&=90\end{aligned}\)
Therefore, the value of x is 90, which means that the two chords intersect at right angles.
complete the table below?
ABC = $425
Load = 0
Total Cost = $425
Sales Price = $850
Sales price ÷ total cost = 850/425
= 2%
DEF = $600
Load = $375
Total Cost = $975
Sales Price = $1200
Sales Price ÷ Total cost = 1200/975
= 1% (Nearest 1%)
Must click thanks and mark brainliest
72.78
74
a=
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79
74
itfenste
LI
- 75
II
b=it’s 10 and 6 for edg 2022
school and the other day of school
Step-by-step explanation:
good day of my life for the next few weeks and the rest is a good day for your class and the re of school and the other day☀ of school and the o
Find the volume of the cylinder to the nearest cubic foot. Use a calculator. A. 236 ft3 B. 942 ft3 C. 251 ft3 D. 75 ft3
\(\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5\\ h=3 \end{cases}\implies V=\pi (5)^2(3)\implies V\approx 236~ft^3\)
Answer:
236 ft^3
Step-by-step explanation:
Base radius = 5 ft
Height = 3 ft
Volume = πr^2h
= π × 5^2 × 3
= 75π
= 235.61944901923 feet^3
Nearest Cubic Foot = 236 ft^3
Nearest Cubic Foot:
Hence Answer is:
236 ft^3
Hope this helps!
Solve: (x - 10)² + 10 = 100
Square Roots and Completing the Square.
Answer:
Below
Step-by-step explanation:
(x-10)^2 = 90 sqrt both sides
x-10 = ± sqrt (90)
x = 10 ± sqrt (90)
What is the product of 1/3 and 3/5?
Answer:
1/3*3/5=1/5or0.2 hope this helps
Answer:
1/5
Step-by-step explanation:
+b4+c4 = 20² (b²+c²), prove
that A:45° or 135°
A is either 45° or 135°.
To prove the given statement, let's assume that the points B and C lie on a coordinate plane, with the origin (0, 0) as the common vertex of the right angles at points B, C, and A. Let the coordinates of points B and C be (x₁, y₁) and (x₂, y₂) respectively.
Using the distance formula, we have:
AB² = x₁² + y₁²
AC² = x₂² + y₂²
According to the given equation, +b4+c4 = 20² (b²+c²), we can rewrite it as:
(x₁² + y₁²) + (x₂² + y₂²) = 20² [(x₁² + y₁²) + (x₂² + y₂²)]
Expanding and simplifying the equation, we get:
x₁² + y₁² + x₂² + y₂² = 20² (x₁² + y₁² + x₂² + y₂²)
This equation can be further simplified to:
(x₁² + y₁²) + (x₂² + y₂²) = (20² - 1) (x₁² + y₁² + x₂² + y₂²)
Since the left side represents the sum of the squares of the distances from the origin to points B and C, and the right side is a constant multiplied by the same sum, we can conclude that the points B and C must lie on a circle centered at the origin.
In a circle, the sum of angles subtended by two perpendicular chords at the center is either 180° or 360°. Since the given problem involves right angles, we consider the sum of angles to be 180°.
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someone please help me im timed
Answer:
C
Step-by-step explanation:
All sides of a square are equal.
i need some help with this one
Answer:
the first two answers you put are correct but the last one you selected is incoorect, but the one that says segment AB is congruent to segment CB is correct
Step-by-step explanation:
so the correct answers are
A. segment AD is congruent to segment DC
C. angle ADE is congruent to angle CDE
D. segment AB is congruent to segment CB
HOPE THIS HELPS!
(2) Veena made 5 frocks of the same size out of 14 metres of cloth. How many metres of cloth did she use for each frock? Ans.
Answer:
2.8 metres each
Step-by-step explanation:
14/5
2.8
PLEASE ANSWER ASAP
the picture is below btw 0_0
Find value of b and A
Answer:
Hi
Step-by-step explanation:
Please paste your question so I can solve it
Thanks
Use the Laws of logarithms to rewrite the expression
The expression log₃(x²∛y²) using the laws of logarithms is 2log₃(x) + 2/3log₃(y)
Rewriting the expression using the laws of logarithmsFrom the question, we have the following parameters that can be used in our computation:
log₃(x²∛y²)
The product law of logarithms states that
log(ab) = log(a) + log(b)
Using the above as a guide, we have the following:
log₃(x²∛y²) = log₃(x²) + log₃(∛y²)
The power law of logarithms states that
log(aᵇ) = blog(a)
Using the above as a guide, we have the following:
log₃(x²∛y²) = 2log₃(x) + 2/3log₃(y)
This means that the values of A and B are A = 2 and B = 2/3
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Evaluate. Please help me:)
Answer:
x = −5 /2
Step-by-step explanation:
53 dL = ______ daL im struggling with this one
.
Answer:
0.53 daL
Step-by-step explanation:
6 let A= (1,4,9,16) and B=(2,3,5,7). Find AS
Prove that A-B=( )
zip file, and phrase, angle of applicable. where are u doing now I need to make a sentence, but it was not the same time for changing the full range. uses the nation, angle and phrase, angle. uses a
Someone help me with this please!!! Urgent!!!
Answer:
Output would be f(x)
f(x) = x/2
Step-by-step explanation:
p(c) = 1200c + 2(280)
Which statement best describes the meaning of p(4)?
Answer:
\(p(4) = 5360\)
Step-by-step explanation:
Given
\(p(c) = 1200c + 2(280)\)
Required
Interpret p(4)
This implies that c = 4
Substitute 4 for c in \(p(c) = 1200c + 2(280)\)
\(p(4) = 1200 * 4 + 2(280)\)
\(p(4) = 1200 * 2 * 280\)
\(p(4) = 1200 * 4 + 560\)
\(p(4) = 4800+ 560\)
\(p(4) = 5360\)
There are no option attached to this question.
I'll assume c represents cost and p(c) represents the profit.
Base on this assumption, a suitable statement is:
When cost is 4, the profit is 5360.
What is equivalent to 4 2/3
inverse of the function y equals quantity x minus 2 divided by 3
Answer:
\(y = 3x + 2\)
Step-by-step explanation:
Given
\(y = \frac{x - 2}{3}\)
Required
Determine its inverse
\(y = \frac{x - 2}{3}\)
Swap the positions of x and y
\(x = \frac{y - 2}{3}\)
Solve for y: Multiply both sides by 3
\(3x = y - 2\)
Add 2 to both sides
\(3x + 2 = y\)
\(y = 3x + 2\)
Hence;
The inverse function is:
\(y = 3x + 2\)
Complete 10 for 5-8 points.
Answer:
$9
Step-by-step explanation:
So say the cost of 1 new release DVD movie is x.
The equation is 52 + 3x = 79
3x = 27
x = 9
Convert the rectangular coordinates to polar coordinates
(1, -9)
The polar coordinates of (1, -9) are (9.06, -1.47 radians).
To convert from rectangular coordinates to polar coordinates, we can use the following formulas:
r = √(x² + y²)
θ = tan⁻¹(y/x)
where r is the distance from the origin to the point, and θ is the angle between the positive x-axis and the line connecting the origin to the point.
In this case, x = 1 and y = -9. Plugging these values into the formulas, we get:
r = √(1² + (-9)²) = √82 ≈ 9.06
θ = tan⁻¹((-9)/1) ≈ -1.47 radians
Therefore, the polar coordinates of (1, -9) are (9.06, -1.47 radians). The distance from the origin to the point is approximately 9.06 units, and the angle between the positive x-axis and the line connecting the origin to the point is approximately -1.47 radians (or approximately -84.26 degrees).
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slope of 7,-6 and 4,-6
Hello! :)
(7,-6)
(4, -6)
We are given two points and asked to find the slope, so this is the formula we can use:
\(\frac{y2-y1}{x2-x1}\)
\(\frac{-6-(-6)}{4-7}\)
\(\frac{-6+6}{4-7} \\\frac{0}{-3} \\0\)
Hence, our final answer is 0.
Here's something that you should remember:
If we have two points, and their y-coordinates are the same, then the slope of this line is 0.Hope it helps.
If you have any query, feel free to ask!
~An excited gal
\(MagicalNature\) here to help
EXPLORE
The distance that the light from a lighthouse can be seen from a boat on the water is
a function of the height of both the lighthouse and the viewer above the water level.
If a sailor is viewing the lighthouse from the deck of a ship 15 feet above the water,
the maximum distance that he can see a light from a lighthouse on the horizon is
calculated using the function d(h) = √7(+15), where d(h) is the maximum distance in
miles and h is the height of the lighthouse, in feet, above the water level.
4
1.
In the 1850s, planning began for a lighthouse at Bolivar Point, Texas. Local
mariners determined that the light from the lighthouse should be visible from
a boat 14 miles offshore. Write an equation that could be used to determine
required height of the lighthouse.
15=√ 7+15
The maximum distance that the sailοr can see frοm the deck οf the ship is 0 miles.
What is a functiοn?A special kind οf relatiοn knοwn as a functiοn is οne in which each input has precisely οne οutput. In οther wοrds, the functiοn generates exactly οne value fοr each input value. Because οne is mapped tο twο different values, the abοve graph depicts a relatiοnship rather than a functiοn. Hοwever, if οne were instead mapped tο a single value, the relatiοnship mentiοned abοve wοuld becοme a functiοn.
Additiοnally, οutput values can be equal tο input values. We knοw that the square rοοt functiοn is an increasing functiοn, which means that the value οf the functiοn increases as the input value increases.
Therefοre, tο find the maximum value οf the functiοn, we need tο find the maximum value οf h.
Assuming that the lighthοuse is οn the hοrizοn, which is apprοximately 3 miles away, we can use the Pythagοrean theοrem tο find the height οf the lighthοuse:
\(h^2 = (3)^2 - (15)^2h^2 = 9 - 225h^2 = -216\)
Since we cannοt take the square rοοt οf a negative number, there is nο real height fοr the lighthοuse that wοuld make it visible frοm a ship 15 feet abοve the water level.
Therefοre, the maximum distance that the sailοr can see frοm the deck οf the ship is 0 miles.
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13➗209 cuánto es? Gracias
Answer: 0.0622009569378
Step-by-step explanation:
the function h is defined by (x)=x^2+2
find h(4n)
h(4n) =
Answer:
h(4n) =16n^2+2
Step-by-step explanation:
h(4n) = (4n)^2+2
h(4n) =16n^2+2
i'll mark brainliest thanks in advance ·
Answer:
Isosceles
Step-by-step explanation:
Answer: It is an Isosceles triangle because two sides are equal. Hope this helps!