Answer:
Distributive Property
Step-by-step explanation:
If you multiply first,
6(2 + .03)
6•2 + 6•.03
You must multiply the 6 times BOTH of the terms inside the parenthesis.
This is using the Distributive Property.
how do you calculate Ending Inventory if beginning inventory is 15000 the purchases is 24,000 and the cost of good sold is 23,000.
Solve for x. Please look at the picture and answer it. Thank you
In a survey of a community, 58% like to listen to the radio only and 18% like to watch the T.V. only. If the number of people who like to listen to the radio is thrice the number of people who like to watch the T.V., then,
(i) Find percentage of people who donot like both of them.
ii Represent the above information in venn diagram.
The percentage of those that did not like both of them is 76%
Venn diagrams and set notationLet the total number of people in the community be 100%
n(u) = 100
If 58% like to listen to the radio only and 18% like to watch the T.V. only, then;
n(R) = 58 - x
n(T) = 118 - x
where x is the percentage of people who do not like both of them. Taking the sum;
58 + x + 18 = 100
x + 76 = 100
x = 100 - 76
x = 24
Hence 24% of people like both of them.
The percentage of those that did not like both of them is 76%
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Use the constant term and leading coefficient to list all the potential roots of the expression
524 +223 + 32² - 7
Step-by-step explanation:
ok first you do that 524+223+322_7 1060 that's the problem ok
24 students in a class took an algebra test. If 18 students passed the test, what percent do not pass?
Answer:
75%
Step-by-step explanation:
You do 18/24. This gives you 0.75 or 75%
F(3) F(x)=(1/5)^x 2.2.3
Answer:
f(3)f(x)=( (1/5)^x)^2.2
The train station clock runs too fast and gains 5 minutes every 3 days.
How many minutes and seconds will it have gained at the end of 4 days?
Answer:
first find the average per day. 5/3= 1 & 2/3... 2/3 of a minute is 40 is 60/3=20 seconds. so 4 days would be the full 5 minutes plus another 1 minute and another 40 seconds.. so by day 4 it would be 6 min and 40 seconds.
Choose the angles that are coterminal with -225° with -45° -125° -225° -495° 45° 135° 225° 495°
Answer:
-225°, 135°, 495°
Step-by-step explanation:
Adding or subtracting multiples of 360° will give angle values that are coterminal with a given angle.
-225° -360° = -595° (not on the list)
-225° +0·360° = -225°
-225° +360° = 135°
-225° +2·360° = 495°
Angles -225°, 135°, 495° are coterminal with -225°.
NO LINKS!! A quarterback tosses a football to a receiver 40 yards downfield. The height of the football, f(x), in feet, can be modeled by f(x)= -0.0.25x+x+6, where x is the ball's horizontal distance, in yards, from the quarterback. What is the ball's maximum height and how far from the quarterback does this occur?
Answer:
Maximum height = 16 yards
This occurs 20 yards from the quarterback.
Step-by-step explanation:
Given function: [tex]f(x)=-0.025x^2+x+6[/tex]
To find the maximum (turning point), differentiate the function:
[tex]f('x)=-0.05x+1[/tex]
Set the derivative to zero and solve for [tex]x[/tex]:
[tex]\implies f'(x)=0[/tex]
[tex]\implies -0.05x+1=0[/tex]
[tex]\implies 0.05x=1[/tex]
[tex]\implies x=20[/tex]
Substitute found value of [tex]x[/tex] into the function to find the maximum height:
[tex]f(20)=-0.025(20)^2+(20)+6=16[/tex]
Therefore, the maximum height is 16 yards.
This occurs 20 yards from the quarterback.
The maximum height of the football can be 16 yards and this occurs 20 yards from the quarterback. The concepts of differentiation are used to solve this problem.
Differentiation is a fundamental mathematical concept that is generally used to obtain the rate of change or slopes of a line.
It is given that the height of the football is modeled as the following function:
f(x) = -0.025x² + x + 6
where x is the ball's horizontal distance (in yards) from the quarterback.
To obtain the maximum height of the ball, the equation is needed to be differentiated and set equal to zero as follows:
[tex]\dfrac{d}{dx}f(x) = 0\\\dfrac{d}{dx}(-0.025x^2+x+6)=0\\-0.025\times2x +1 = 0\\-0.05x+1 = 0\\x = \dfrac{1}{0.05}\\x = 20[/tex]
Substitute this value of x in f(x) to find the maximum height,
f(20) = -0.025(20)² + 20 + 6
f(20) = -0.025 × 400 + 26
f(20) = -10 + 26
f(20) = 16
Therefore, the maximum height is 16 yards and this occurs 20 yards from the quarterback.
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The complete question is as follows:
A quarterback tosses a football to a receiver 40 yards downfield. The height of the football, f(x), in feet, can be modeled by f(x) = -0.025x²+x+6, where x is the ball's horizontal distance, in yards, from the quarterback. What is the ball's maximum height and how far from the quarterback does this occur?
Emma and Daniel both had fevers and were found to
both have a temperature of 101 degrees F. What was
their combined temperature?
Step-by-step explanation:
select the correct form for 562,932 I want the correct form
Answer: five hundred sixty-two thousand nine hundred thirty-two
Step-by-step explanation: Student instructed to give the word form of a given value.
Answer:
The correct word form is:
Five hundred sixty-two thousand nine hundred thirty-two.
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I hope help you :)
Kind regards, Antonio.
26. Let S = (-1,0,2,4,7). Find f(S) if
a) f(x)= 1.
b) f(x)=2x + 1.
c) f(x) = x/5
. d) f(x)=(x2 + 1)/3).
Answer:
d.f(x)=(×2 +1)/3).
Step-by-step explanation:
I think that was my answer
Diane, Henry, and Abdul have a total of $82 in their wallets. Diane has $8 less than Henry. Abdul has 3 times what Henry has. How much does each
Answer:
let's suppose
Diane: D= H – 8
Henry: H
Abdul: A = 3H
D+H+A=82
D=10
H=18
A=54
4^2+4^6 solve this please
Answer:
[tex]4,112[/tex]
Step-by-step explanation:
[tex]4^2 =16[/tex]
[tex]4^6=4096[/tex]
[tex]4096+16=4112[/tex]
Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!
Stay Brainy!
−[tex]xXheyoXx[/tex]
5)
Solve the following quadratic inequality, express the solution set as an interval, and graph
the solution set :x(x-7)+4> -8
Solution:
Answer:
x < 3 or x > 4
Step-by-step explanation:
Hope it helps!!!!!!Brainliest pls!!!!!I've tried this multiple times and cant seem to get the right answer could someone help solve this?
Answer:
[tex]\dfrac{6\pi -9\sqrt{3} }{16}[/tex]
Step-by-step explanation:
You need to rewrite [tex]\cos^2 \theta[/tex] using cos double angle identity:
[tex]\cos 2\theta= \cos^2\theta-\sin^2\theta[/tex]
[tex]\implies \cos 2\theta= \cos^2\theta-(1-\cos^2\theta)[/tex]
[tex]\implies \cos 2\theta=2 \cos^2\theta-1[/tex]
[tex]\implies \cos^2\theta=\dfrac12(\cos 2\theta+1)[/tex]
Then substitute this into the integration.
Please see the attachment for the full integration (it was clearer for me to type this in MS word than use the equation editor here)
Recall the double angle identity for cosines
[tex]{\boxed{\bf{2\cos^{2}(\theta)=1+\cos (2\theta)}}}[/tex]Using this the integral becomes :
[tex]{:\implies \quad \displaystyle \sf \dfrac{1}{2}\int_{\tiny \dfrac{\pi}{3}}^{\tiny \dfrac{\pi}{2}}\{3\cos (\theta)\}^{2}d\theta}[/tex]
[tex]{:\implies \quad \displaystyle \sf \dfrac{1}{2}\int_{\tiny \dfrac{\pi}{3}}^{\tiny \dfrac{\pi}{2}}9\cos^{2}(\theta)d\theta}[/tex]
As we can take constant out of the integrand so we have
[tex]{:\implies \quad \displaystyle \sf \dfrac{9}{2}\int_{\tiny \dfrac{\pi}{3}}^{\tiny \dfrac{\pi}{2}}\cos^{2}(\theta)d\theta}[/tex]
Using the double angle identity for cosines ;
[tex]{:\implies \quad \displaystyle \sf \dfrac{9}{2}\int_{\tiny \dfrac{\pi}{3}}^{\tiny \dfrac{\pi}{2}}\bigg\{\dfrac{1+\cos (2\theta)}{2}\bigg\}d\theta}[/tex]
[tex]{:\implies \quad \displaystyle \sf \dfrac{9}{4}\int_{\tiny \dfrac{\pi}{3}}^{\tiny \dfrac{\pi}{2}}\{1+\cos (2\theta)\}d\theta}[/tex]
Now , as integrals follow distributive property, so we now have
[tex]{:\implies \quad \displaystyle \sf \dfrac{9}{4}\bigg(\int_{\tiny \dfrac{\pi}{3}}^{\tiny \dfrac{\pi}{2}}d\theta+\int_{\tiny \dfrac{\pi}{3}}^{\tiny \dfrac{\pi}{2}}\cos (2\theta)d\theta \bigg)}[/tex]
[tex]{:\implies \quad \displaystyle \sf \dfrac{9}{4}\bigg\{\bigg(\theta +\dfrac{\sin (2\theta)}{2}\bigg) \bigg|_{\tiny \dfrac{\pi}{3}}^{\tiny \dfrac{\pi}{2}}\bigg\}}[/tex]
[tex]{:\implies \quad \displaystyle \sf \dfrac{9}{4}\bigg[\dfrac{\pi}{2}-\dfrac{\pi}{3}+\dfrac{1}{2}\bigg\{\sin (\pi)-\sin \left(\dfrac{2\pi}{3}\right)\bigg\}\bigg]}[/tex]
[tex]{:\implies \quad \displaystyle \sf \dfrac{9}{4}\bigg\{\dfrac{3\pi -2\pi}{6}+\dfrac{1}{2}\bigg(-\dfrac{\sqrt{3}}{2}\bigg)\bigg\}}[/tex]
[tex]{:\implies \quad \displaystyle \sf \dfrac{9}{4}\bigg(\dfrac{\pi}{6}-\dfrac{\sqrt{3}}{4}\bigg)}[/tex]
[tex]{:\implies \quad \displaystyle \sf \dfrac{9}{4}\bigg(\dfrac{2\pi -3\sqrt{3}}{12}\bigg)}[/tex]
[tex]{:\implies \quad \displaystyle \sf \dfrac{3(2\pi -3\sqrt{3})}{4\times 4}}[/tex]
[tex]{:\implies \quad \displaystyle \sf \dfrac{6\pi -9\sqrt{3}}{16}}[/tex]
[tex]{:\implies \quad \displaystyle \bf \therefore \quad \underline{\underline{\int_{\tiny \dfrac{\pi}{3}}^{\tiny \dfrac{\pi}{2}}\{3\cos (\theta)\}^{2}d\theta =\dfrac{6\pi -9\sqrt{3}}{16}}}}[/tex]
Used Concepts :- [tex]{\boxed{\displaystyle \bf \int dx=x+C}}[/tex] [tex]{\boxed{\displaystyle \bf \int \cos (nx)dx=\dfrac{\sin (nx)}{n}+C}}[/tex]What is the center and radius for the circle with equation 2x2 - 8x + 2y2 +12y + 14 = 0?
A A
(2,-3); r = 6
B
00
(293); r = 16
(-2,3); r = 6
0
D
(-2,3); r = 16
Answer:
[tex](2,\, -3)[/tex].
[tex]r = \sqrt{6}[/tex].
Step-by-step explanation:
Let [tex](a,\, b)[/tex] denote the center of this circle. Let [tex]r[/tex] ([tex]r > 0[/tex]) denote the radius of this circle. The equation of this circle would be:
[tex](x - a)^{2} + (y - b)^{2} = r^{2}[/tex].
Expand to obtain an equivalent equation:
[tex]x^{2} + (- 2\, a) + y^{2} + (- 2\, b) + (a^{2} + b^{2} - r^{2}) = 0[/tex].
Since this equation and the given equation describe the same circle, their corresponding coefficients should match.
Notice that the coefficients of [tex]x^{2}[/tex] and [tex]y^{2}[/tex] in this equation are both [tex]1[/tex]. However, the corresponding coefficients in the given equation are both [tex]2[/tex]. Thus, divide both sides of the given equation by [tex]2\![/tex] to match the coefficients of the [tex]x^{2}[/tex] and [tex]y^{2}[/tex] terms:
[tex]x^{2} + (- 4\, x) + y^{2} + 6\, y + 7 = 0[/tex].
Coefficients of [tex]x^{2}[/tex] and [tex]y^{2}[/tex] are now matched after the division.Coefficients of [tex]x[/tex] should match: [tex](-4) = (-2\, a)[/tex], such that [tex]a = 2[/tex].Coefficients of [tex]y[/tex] should match: [tex]6 = (-2\, b)[/tex], such that [tex]b = (-3)[/tex].The constants should also match. Thus:
[tex]a^{2} + b^{2} - r^{2} = 7[/tex].
Substitute in [tex]a = 2[/tex] and [tex]b = (-3)[/tex]; given that [tex]r > 0[/tex], the value of [tex]r[/tex] would be:
[tex]r = \sqrt{2^{2} + 3^{2} - 7} = \sqrt{6}[/tex].
La II - Evaluating and Graphing Polynomial Functions
-
Notes
eas/Questions
Notes/Examples
EROS
• The point(s) at which the function intersect the
• A polynomial function of degreen can have at most
real zeros
• An even degee polynomial has an
number of zeros (or no zeros).
• An odd degree polynomial has an
number of zeros (or no zeros).
IFY BY
Answer:
need ko points po please pa answer ng paanswer ngxquestion koooooo
if 9 is added to a number x the result is greater than 17. Find the range of values of x
Answer:
See below.
Step-by-step explanation:
x+9>17
-9 -9
x>8
-hope it helps
Need help with this
Answer:
It's a polynomial because...
it has a power degree, in this case, 4
it has real numbers
doesn't have negative exponents
doesn't have 'x' in the denominator ex, ( 3/x )
doesn't have a square root of ex. √x, √5
I hope this helped some!
Write the equation of the line that passes through the points (7, –4) and (–1, 3), first in point-slope form, and then in slope-intercept for
Answer:
8y + 7x - 17 = 0
Step-by-step explanation:
You'll use;
y2 - y1/ x2- x1 = y - y1/x- x1
Danielle rented a canoe for 4 hours while on vacation. She paid a fixed hourly rate and a $55 damage deposit. The resulting cost was $123. What was the hourly cost to rent the canoe?
Answer:
The hourly cost is 17 dollars.
Step-by-step explanation:
1. Subtract the damage deposit from the total cost to get 68.
2. Divide 4 from 68 to get 17. Which is the hourly cost.
Joe bought shin guards for $15.35 and socks for $5.89. What is his total cost?
Answer:
$24.24 is his total cost
Step-by-step explanation:
15.35
+ 5.89
---------------
24.24
Find the missing angle measure of the triangle.
Answer:
58
Step-by-step explanation:
65 + 57 = 122
A triangle is 180 degrees
180 - 122 = 58
58 is the missing measurement
Select the correct answer.
What is the measure of the indicated central angle ?
A.
60°
B.
None of the above
C.
20°
D.
80°
E.
40°
Answer: E
Step-by-step explanation:
For a car moving at a constant speed, the distance traveled varies directly with the time spent driving. If such a car travels 210 miles in 7 hours, how many
miles does it travel in 4 hours?
Answer:
120 miles.
Step-by-step explanation:
Use long division to find how many miles the car travels in 1 hour then we multiply by 4
: (7÷210=30)×4=120miles. Hope this helped ;D
here a subtraction problem that has been solved incorrectly 21-9=11 choose the addition sentence that check this subtraction problem here the choices are 21+9=30 11+9=20 11+21=32 which one is correct
Answer:
Answer:
11+ 9 = 20
Step-by-step explanation:
=> 21-9=11
21 - 9 equals to 11 is actually a wrong answer
So in order to find the subtraction problem that will help us truly know whether the equation is wrong
=> 11+ 9 = 20
OR THE SECOND EQUATION IS
=> 21 - 11 = 10
Find the distance between the two points in simplest radical form.
(-5,0) and (-9,9)
Answer:
√97 units
Step-by-step explanation:
the distance between the two points in (-5,0) and (-9,9) is √97 units.
Answer:
√97
Step-by-step explanation:
The formula is: d=√(x²-x¹)²+(y²-y¹)²
√(-9 - -5)^2 + (9 - 0)^2
√(-4)2 + (9)2
√97
It cannot be simplified any further.
The vertex is (4,-4) and the other given point is (3,-2)
Find the quadratic equation
as if you are asking in terms of graph:-(4,-4) lies in quadrant 4th and (3,-2) lies in quadrant 4th only
Find the missing side length
Answer:
The missing side length is 36
Step-by-step explanation:
You need to find the ratio of the dilation so if you take corresponding sides, for example, 72 and divide by 8 you get 9. So, if you multiply each side of the triangle XYZ by 9, it should get the length of the sides on triangle ABC.
4 * 9 = 36
Hope this helps! :)
Answer:
36
Step-by-step explanation:
72 is 9 times 8
63 is 9 times 7
36 is 9 times 4
another way
63/7 = x/4
7x = 252
x =36