Answer:
B
$15 X 3 = cc = $45
Step-by-step explanation I asked my teacher and it was right
9. (a) Find the slope of the tangent to the curve [tex]y=3+4 x^{2}-2 x^{3}[/tex] at the point where [tex]x=a\text{.}[/tex]
Find the slope of the tangent to the curve [tex]y=3+4 x^{2}-2 x^{3}[/tex] at the point where [tex]x=a\text{.}[/tex]
Derivatives:The derivative of a function can be determined using different rules and formulations. One of the important rules here is the power rule. Power rule is used to differentiate functions in the form of [tex]f(x) = x^n[/tex].
[tex]\; \dfrac{d}{dx} (x^n) = nx^{n-1}[/tex]
Explanation:We are supposed to find the slope of the tangent to the curve [tex]y=3+4 x^{2}-2 x^{3}[/tex] at the point where [tex]x=a[/tex].
[tex]\implies \dfrac{d}{dx}(3+4x^2-2x^3)[/tex]
[tex]\implies \dfrac{d}{dx}(0+4(2x^{2-1})-2(3x^{3-1})[/tex]
[tex]\implies \dfrac{d}{dx}(0+4(2x)-2(3x^2)[/tex]
[tex]\implies \dfrac{d}{dx}(8x-6x^2[/tex]
Now plugging [tex]x=a[/tex] in the above equation, we obtain the following results:
[tex]\implies \boxed{8a -6a^2}[/tex]
Hence, this is our required solution for this question.
Your apartment's monthly rent was $300 last year. This year it is $350.
What is the rate of inflation, to the nearest tenth of a percent?
O 50.0%
O 16.7%
0 15.4%
O 14.3%
well, if it was 300 and now is 350, it went up by 50 bucks, that's the inflation amount.
if we take 300 to be the 100%, what is 50 bucks off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 300 & 100\\ 50& x \end{array} \implies \cfrac{300}{50}=\cfrac{100}{x}\implies 6=\cfrac{100}{x} \\\\\\ 6x=100\implies x=\cfrac{100}{6}\implies x=\cfrac{50}{3}\implies x\approx 16.7[/tex]
9. An airline food service finds that a recent flight of 120 passengers ordered dinner as depicted in the table below. Based on this data, how many lasagna dinners are likely to be needed for a flight with 380 passengers?
Dinner Frequency
Chicken 63
Fish 30
Lasagna 25
Vegetarian 2
A. 80 B. 85 C. 206 D. 301
Answer:
80
Step-by-step explanation:
25/120 ( since you are trying to find probability of a situation)=.2083
.2083*380=79.167 (just round it off to the nearest 1 which is 80).
HELP ASAP!!! I NEED HELP
Answer:
B
Step-by-step explanation:
840÷8=105
solve (x + y +2)(y + 1)
Answer:
xy + y² + 3y + x + 2
Step-by-step explanation:
(x + y + 2)(y + 1)
xy + y² + 2y + x + y + 2
xy + y² + 3y + x + 2
No more like terms, so this is final answer
BRAINLIEST please if this helped!What percent of 29 is 3? Round to the nearest tenth or tenth of a percent
the answer is 10.3, just search up how to solve percentage word problems
please answer this question
Differentiate x and y with respect to t :
[tex]x = e^{\sec(2t)} \implies \dfrac{dx}{dt} = e^{\sec(2t)} \dfrac{d(\sec(2t))}{dx} = 2\sec(2t)\tan(2t) e^{\sec(2t)}[/tex]
[tex]y = e^{\tan(2t)} \implies \dfrac{dy}{dt} = e^{\tan(2t)} \dfrac{d(\tan(2t))}{dx} = 2\sec^2(2t) e^{\tan(2t)}[/tex]
By the chain rule,
[tex]\dfrac{dy}{dx} = \dfrac{dy}{dt} \times \dfrac{dt}{dx} = \dfrac{\frac{dy}{dt}}{\frac{dx}{dt}}[/tex]
Then
[tex]\dfrac{dy}{dx} = \dfrac{2\sec^2(2t) e^{\tan(2t)}}{2\sec(2t)\tan(2t) e^{\sec(2t)}} = \dfrac{\sec(2t) e^{\tan(2t)}}{\tan(2t) e^{\sec(2t)}} =\dfrac{y \sec(2t)}{x\tan(2t)}[/tex]
and we have
[tex]\log(x) = \sec(2t)[/tex]
[tex]\log(y) = \tan(2t)[/tex]
and the claim follows.
A company that makes hair-care products had 8,000 people try a new shampoo. Of the 8,000 people, 32 had a mild allergic reaction. What percent of the people had a mild allergic reaction?
A rectangle has a length of 15 centimeters and a width of 7 centimeters. What is the area of the rectangle?
length= 15cm
width= 7cm
to find:area of the rectangle.
solution:area of rectangle= length × width
a= l × w
a= 15 × 7
= 105 cm^2
Answer:
105 cm²
Step-by-step explanation:
The formula to find the area of a rectangle is :
Area = length × width
Given that,
length ⇒ 15 cm
width ⇒ 7 cm
Let us solve it now.
Area = length × width
Area = 15 × 7
Area = 105 cm²
Can anyone help me with this math problem?
An odd degree has no maximum or minimum?
Answer:
Polynomials of odd degree have an even number of turning points, with a minimum of 0 and a maximum of n−1 . Polynomials of even degree have an odd number of turning points, with a minimum of 1 and a maximum of n−1 .
Step-by-step explanation:
1) How many students were all involved in the survey? A) 30 B) 40 C) 50 3) What is the size of the class interval?
Answer:
not enough information was provided
Step-by-step explanation:
However, The answer is B
What is the image of (-12, 6) after a dilation by a scale factor of 1/2 centered at the origin?
Answer: (0,3)
Step-by-step explanation:
(x,y) -> (1/2x , 1/2y)
(0,6) -> (1/2 • 0, 1/2 • 6)
=(0,3)
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i hope this helps, brainliest please <3
Write a proportion that can be used to convert 5 meters into kilometers.
Answer:
0.5km
Step-by-step explanation:
[tex]1km = 1000m \\ x = 50m \\ \\ 50m \times 1km = x \times 1000m \\ x = 0.5km[/tex]
Daniel has a bag that contains pineapple chews, apple chews, and watermelon chews. He performs an experiment. Daniel randomly removes a chew from the bag, records the result, and returns the chew to the bag. Daniel performs the experiment 51 times. The results are shown below:
A pineapple chew was selected 21 times.
A apple chew was selected 12 times.
A watermelon chew was selected 18 times.
Based on these results, express the probability that the next chew Daniel removes from the bag will be a flavor other than watermelon as a decimal to the nearest hundredth.
The probability that the next chew Daniel removes from the bag will be a flavor other than watermelon is 0.65
How to determine the probability?The distribution of the fruits is given as:
Pineapple = 21Apple = 12Watermelon = 18The probability that the next chew Daniel removes from the bag will be a flavor other than watermelon is:
P = (Apple + Pineapple)/Total
This gives
P = (12 + 21)/(21 + 12 + 18)
Evaluate
P = 0.65
Hence, the probability that the next chew Daniel removes from the bag will be a flavor other than watermelon is 0.65
Read more about probability at:
https://brainly.com/question/251701
John bought 25kg of rice he used 1 3/4 kg on the first day and 4 1/2 on the second day. Find the remaining quantity of rice left
Answer:
18 3/4 kg of rice
Step-by-step explanation:
Start
John has 25 kg of RiceDay 1
He uses 1 3/4 kg of rice25 - 1 3/4 = 23 1/4 kg remainingDay 2
He uses 4 1/2 kg of rice23 1/4 - 4 1/2 = 18 3/4 kg of riceEnd
18 3/4 kg of riceWhat is the compliment of an angle that measures 2x degrees?
Answer:
(90 - 2x)°
Step-by-step explanation:
complimentary angles sum to 90° , then
the compliment of 2x° is (90 - 2x)°
Answer:
(90 - 2x)°
Step-by-step explanation:
We say that two angles are complementary if their measures add up to 90°
The complement of an angle that measures 2x is the angle of measure
(90 - 2x)°
because 2x + (90-2x) = 90
A soda can had a diameter of 6 cm . What is the circumference of the can?
At a flea market, used computer games are sold at the prices shown in the table below.
Number of Games Price ($)
2 9.00
5 22.50
7 31.50
Do the number of games and price form a proportional relationship?
Choose the correct response.
A.
Yes. There is a constant of proportionality of $11.25.
B.
Yes. There is a constant of proportionality of $4.50.
C.
No. There is not a constant of proportionality.
D.
No. The slope is 4.5.
Answer:
This is the answer I understood and got.
B. Yes. There is a constant of proportionality of $4.50.
Step-by-step explanation:
When you divided 9/2, you get 4.5
When you divide 22.5/5, you get 4.5
When you divide 31.5/7, you get 4.5
* REMEMBER IT'S ASKING DO THE NUMER OF GAMES AND PRICE FOR A PROPORTIONAL RELATIONSHIP *
So, y= 4.5x
300 seats in a cinema, 60% are filled, how many seats are left?
Answer:
120 are left
Step-by-step explanation:
to get how many seats that are left you will multiply grand total of all the seats times percent filled over 100. see below
300 × 60/100
=3 × 60
=120 seats that are left
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How many x intercepts does the polynomial function y=(x-8)(x+3)^2
Answer:
The answer is 2 x-intercepts
Step-by-step explanation:
To determine the x-intercepts we set y to zero and solve for x:
y=0
(x-8)(x+3)^2=0
The product of 2 factors is 0 means that one of them must be 0:
x-8=0 ⇒ x=8 →first x-intercept
or (x+3)^2=0 ⇒ x+3=0 ⇒ x=-3 →second x-intercept
Therefore the polynomial function two roots, so it has two x-intercepts x=8 and x=-3
Hope this helps :)
Tell me all of them pelase
Answer:
Step-by-step explanation:
A=1
B=41
C=3
In this survey, 77 people prefer basketball. In a survey done a couple months later, only 70
people prefered basketball. What was the percent decrease in the number of people who
prefer basketball?
URGENT PLEASE HELP
Answer:
Minus 9.09090909% decrease
What is the surface area of the square pyramid?
Answer:
SA = 16 units^2
Step-by-step explanation:
B - base
H - height
SA - surface area
B = 2
H = 3
SA = (B × B) + 4((1/2)×(B × H))
SA = (2×2) + 4((1/2)×(2×3))
SA = 16 units^2
Complete the equation for ⊙A.
A 2-dimensional graph with an x-axis and a y-axis is given. A circle is passing through the co-ordinates (-4,1), (-1,-2), (-4, -5) and (-7,-2) respectively. A point A which is the mid-point of the circle has co-ordinates (-4,-2).
The general equation of a circle is (x-h)²+(y-k)² = r². The equation of circle A is (x+4)²+(y+2)²=9.
What is the equation of a circle?The general equation of a circle is given as,
(x-h)²+(y-k)² = r²
Where (h,k) is the coordinate of the centre of the circle, and r is the radius of the circle,
Given that the four points that lie on the circle are (-4,1), (-1,-2), (-4, -5) and (-7,-2), and also the centre of the circle is at (-4,-2). Therefore, the radius of the circle will be the distance between the centre of the circle and any point lying on the circle.
[tex]\rm \text{Radius of the circle} = \sqrt{[(-4)-(-4)]^2+[(-2)-(1)]^2}\\\\\text{Radius of the circle} = \sqrt{(0)^2+(-3)^2}\\\\\text{Radius of the circle} = 3\ units[/tex]
Since the coordinate of the centre point of the circle is (-4,-2), while the radius of the circle is 3 units, therefore, the equation of the circle can be written as,
[tex][x-(-4)]^2+[y-(-2)]^2 = 3^2\\\\(x+4)^2+(y+2)^2 = 3^2\\\\(x+4)^2+(y+2)^2 = 9[/tex]
Hence, the equation of circle A is (x+4)²+(y+2)²=9.
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THIS IS WORTH 50 POINTS WILL MARK BRAINLYEST PLEASE HELP
Use either elimination or substitution.
y = x - 4
x + y = 6
Answer:
Since x = 3, y = 1 is the solution of
x – 4y + p = 0 …………….. (i)
2x + y – q – 2 = 0 …………… (ii)
So, x = 3, y = 1 must satisfy both (i) and (ii).
⇒ 3 – 4(1) + p = 0 ⇒ p = 1.
and 2(3) + (1) – q – 2 = 0 ⇒ q = 5
Since, 1 = – 4 + 5
∴ p = 1 = – 4 + 5
= q – 4
⇒ p = q – 4
Eugenia rolls a six-sided number cube. What is the probability that she gets a number less than 5?
Lynn filled each of three bags with
2 kilograms 450 grams of sand. Is the
mass of 2 bags greater than or less than
5 kilograms? Explain how you know.
10
The mass of 2 bags, which is filled by Lynn each with 2 kilograms 450 grams of sand, is less than 5 kilograms.
How to measure the weight?Weight measurement is the measurement of the heaviness of a object. The units of weight measurement are pounds, grams, kilograms etc.
There is total 1000 grams in one kilogram of weight measurement.
Lynn filled each of three bags with 2 kilograms, 450 grams of sand. There is total 1000 grams in one kilogram of weight measurement. Thus, the kilogram in 450 grams is,
[tex]x=\dfrac{450}{1000}\\x=0.45\rm\; kg[/tex]
Thus, weight in one bag is,
[tex]W=2+0.45\\W=2.45\rm\; kg[/tex]
The weight in two bags is,
[tex]2W=2.45+2.45\\2W=4.9\rm\; kg[/tex]
The weight of 4.9 kg is less than the 5 kilogram..
Thus, the mass of 2 bags, which is filled by Lynn each with 2 kilograms 450 grams of sand, is less than 5 kilograms.
Learn more about the weight measurement here;
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4 1/4 - 5/6 I don’t understand pls help
Answer:
1/6 or 0.167
Step-by-step explanation:
First understand that 4 x 1/4 is equal to 1, then replace it in the equation
1 - 5/6
Turn the whole number into a fraction that can be computed
6/6 - 5/6
Solve the equation
6/6 - 5/6 = 1/6
If you need it as a decimal enter it in a calculator and get
0.16666666667
Since the 6 is repeating you can just round that to
0.167
A cone with a height of 15 yards has a volume of
475.17 yd³. Find the diameter of the cone.
Answer:
11
Step-by-step explanation:
h = 15 yards
Volume = 475.17 cubic yards
Diameter = 5.5*2 = 11.0 = 11 yards