Answer:
k = 4
Step-by-step explanation:
Here, we want to find the value of k
Mathematically, the gradient of a curve is same as the first derivative
so the first derivative here is;
dy/dx = 4kx^3
Now, the value of x here is 2 while the value of y is 128
Substituting these values;
128 = 4k(2)^3
128 = 32k
k = 128/32
k = 4
The center of the circle is G. Below is a student's work to find the
value of x. Explain the error and find the correct value of x.
Answer:
The error are
1) The use of the angle addition postulate, for [tex]m \widehat{ACD}[/tex]
2) The assumption that [tex]m \widehat{BC}[/tex] = 90°
The vertical angle property between [tex]m \widehat{CD}[/tex] and [tex]m \widehat{FA}[/tex] should be used to find 'x'
x = 5
Step-by-step explanation:
From the drawing of the circle, we are given;
AD = A diameter of the circle
∴ [tex]m \widehat{ACD}[/tex] = 180°
By angle addition postulate, we have;
[tex]m \widehat{ACD}[/tex] = [tex]m \widehat{AB}[/tex] + [tex]m \widehat{BC}[/tex] + [tex]m \widehat{CD}[/tex]
By substitution property of equality, we have;
180° = [tex]m \widehat{AB}[/tex] + [tex]m \widehat{BC}[/tex] + [tex]m \widehat{CD}[/tex]
[tex]m \widehat{AB}[/tex] = 5·x°
[tex]m \widehat{BC}[/tex] = Not given
[tex]m \widehat{CD}[/tex] = 15·x°
However;
[tex]m \widehat{CD}[/tex] is the vertically opposite angle to [tex]m \widehat{FA}[/tex]
∴ [tex]m \widehat{CD}[/tex] = [tex]m \widehat{FA}[/tex] = (16·x - 5)°
[tex]m \widehat{CD}[/tex] = 15·x° = (16·x - 5)°
15·x° = (16·x - 5)°
∴ 5 = 16·x° - 15·x° = x
x = 5
[tex]m \widehat{BC}[/tex] = 180° - ([tex]m \widehat{AB}[/tex] + [tex]m \widehat{CD}[/tex]) = 180° - (15·x° + 5·x°) = 180° - (20·x°)
[tex]m \widehat{BC}[/tex] = 180 - (20×5)° = 80°
[tex]m \widehat{BC}[/tex] = 80°
The error are the use of the angle addition postulate, for [tex]m \widehat{ACD}[/tex], and the assumption that [tex]m \widehat{BC}[/tex] = 90° rather than the vertical angle property between [tex]m \widehat{CD}[/tex] and [tex]m \widehat{FA}[/tex] in trying to find 'x', from which x = 5.
5. In one year, there were 125 major new automobile types available. If you look at the miles per gallon (MPG) for these vehicles, the distributions are roughly normal. The means and standard deviations are given by: Mean Standard Deviation City MPG 22.37 4.77 Highway MPG 29.09 5.46 a. The Honda Civic had a rating of 45 highway MPG. What is the probability that your car has a worse highway gas mileage than the Civic? b. The Lincoln Continental had a rating of 17 city MPG. What percent of cars are likely to have a better city gas mileage than the Continental?
Answer:
The answer is "99.82% and 86.99%".
Step-by-step explanation:
In point a:
[tex]=P(X < 45)\\\\= P(Z < \frac{45-29.09}{5.46}) \\\\=P(Z < 2.9139)\\\\=0.9982\\\\=99.82\%[/tex]
In point b:
[tex]=P(X >17)\\\\= P(Z > \frac{17-22.37}{4.77}) \\\\=P(Z > -1.1258)\\\\=0.8699\\\\=86.99\% \\\\[/tex]
What is the value of 1.8c − 2.4 when c = 5?
A. 4.4
B. 5.4
C. 6.6
D. 7.6
Answer:
6.6
Step-by-step explanation:
For this problem, you need to add 5 to the given equation, by replacing "c" with "5"
1.8(5)-2.4
= 6.6
Wwwwwwwwwwwwwwwwwwwwwwwwww
Answer:
84
Step-by-step explanation:
reqd. area=outer area-inner area
=20*15-18*12
=300-216
=84 square inches
i don’t understand explain
Answer:
62
Step-by-step explanation:
y+94+137+67= 360
y=62
PLEASE HELP MY MATH GRADE IS LOW AND THIS IS THE ONLY WAY TO GET IT UPPPPP PLEASE I WILL MARK U BRAINLEST PLEASE TRY YOUR BEST THANKSSS SO MUCH
Answer:
I can't see!
Step-by-step explanation:
HELP I NEED HELP ASAP
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Answer:
Step-by-step explanation:
If 4 children drink 24 ounces of milk everyday then how much do they drink in a week? (if this shows up twice sorry i didn't know)
Answer:
168
Step-by-step explanation:
24x7=168
Answer:
In total, the amount of milk every kid combined drank is 672 ounces.
Step-by-step explanation:
If four kids drank 24 ounces of milk for seven days, you would solve it as follows:
First, the amount all the kids drink in one day combined is 96 ounces.
If they drink 96 per day, and they do so for a week (7 days), then that is 96 × 7 because its 96 seven times.
7 × 96 = 672
2. What is the coordinate of the final image of vertex T
after the triangle is translated 3 units to the left and 2
units up?
Please help with number 2
Answer:
We have the coordinates of vertex T after the translation as (-5,0)
Step-by-step explanation:
Firstly, we get the coordinates of vertex T
we have this as;
(-2,-2)
Translating to the left means we are going to subtract the specific units from the x-coordinate
2 units up means we are going to add to the y-coordinate value
So, we have it that;
(-2-3, -2+ 2) = (-5,0)
If f(x) = x2 and g(x) = 3x + 1, then g(f(2))= ?
Answer:
The value of g[f(2)] = 13
Step-by-step explanation:
Given functions:
f(x) = x²
g(x) = 3x + 1
Find:
The value of g[f(2)]
Computation:
f(x) = x²
By putting x = 2 in f(x)
f(x) = x²
f(2) = 2²
f(2) = 2 × 2
f(2) = 4
So the value of f(2) = 4
Value of f(2) putting in g(x)
g(x) = 3x + 1
g(x) = 3x + 1
g[f(2)] = 3[f(2)] + 1
We know that f(2) = 4
So,
g[f(2)] = 3[f(2)] + 1
g[f(2)] = 3[4] + 1
g[f(2)] = 12 + 1
g[f(2)] = 13
The value of g[f(2)] = 13
If triangle ABC is dilated using a scale factor of 2, what will be the coordinates of A after the transformation
Answer:
[tex]A' = (-4,4)[/tex]
Step-by-step explanation:
Given
[tex]A = (-2,2)[/tex] [tex]B = (1,3)[/tex] [tex]C = (1,0)[/tex]
[tex]k =2[/tex] --- scale factor
Required
Determine A'
This is calculated as:
[tex]A' = A * k[/tex]
[tex]A' = (-2,2) * 2[/tex]
[tex]A' = (-2 * 2,2 * 2)[/tex]
[tex]A' = (-4,4)[/tex]
Bert is planning to open a savings account that eams 1.6% simple interest yearly. He wants to earn exactly $224 in interest after
2 years. How much money should he deposit?
A. $7,000
B. $3,584
C. $70
D. $700
100 POINTS AND BRAINLIEST
What is the common difference of the arithmetic sequence? −17, −13, −9, −5, −1
A) -17
B) -13
C) 4
D) -4
Answer:
The common difference is 4 or C on your test
Step-by-step explanation:
-17+4= -13
-13+4= -9
And so on...
Liang used 75 square inches of fabric
to make a triangular pennant to take
to a football game. The base of the
pennant was 6 inches. What was the
height of the pennant?
Please answer by tomorrow!
Answer:25
Step-by-step explanation:
divide 75 by 6 then multiply by 2
Which of the following expressions are equivalent to -(-8/-4)
1. -(-8/4)
2. 2
3. none of the above
Answer:
None of the above
Step-by-step explanation:
De las siguientes oraciones ¿Cuál es una proposición?
a)El sol es una estrella
b)El autor de "La vida es sueño"
c)¡Pon atención!
d)¿Cuándo es el examen de historia?
Answer:
c
Step-by-step explanation:
Answer:
translation: Of the following sentences, which is a proposition? a) The sun is a star b) The author of "Life is a dream" c) Pay attention! d) When is the history exam also its c i think
Step-by-step explanation:
For each formula,rearrange so a is by itself:
6-9b=3a
6b+2a=3a
a/3=b+2
please explain how to do that i have a test in 2 days
Step-by-step explanation:
a) 6-9b=3a
First:Subtract
3b=3a
Second: Devide
3b/3a
=(3÷3)(b÷a)
=1b/a
= b/a
B) 6b+2a=3a
First:Transpose (Group the like terms. signs will change.)
-3a+2a=-6b
=-1a=-6b
Second:Divide
=-1a/-6b:(-1÷-6)(a÷b)
=1a/6b
=a/6b
C)a/3=b+2
First: Transpose
a=3+2+b
=a/6+b
need help asap please!!!
Answer:
251.32741
Step-by-step explanation: Later Surface Area Formula: 2(pi)rh
The right rectangular prism below is made up of 8 cubes. Each cube has an edge length of 1/2 inch.
hello could you help me please
Answer:
c
Step-by-step explanation:
mass= kg
v=m/s
k =kg×(m/s)²
k unit =kg×m²/s²
Which of the following numbers are less than -0.60? Select all that apply.
- 4/5
-0.65
- 1/6
-0.99
Answer:
0..99
Step-by-step explanation:
Ayden wants to sell a total of $150 worth of candy bars for his school fundraiser. Each candy bar costs $1.50. How many candy bars will he have to sell in order to meet his goal?
Answer:
100 Candy Bars
Step-by-step explanation:
Hey!
==================================================================
Ayden wants to sell a total of $150 worth of candy bars for his school fundraiser. Each candy bar costs $1.50. How many candy bars will he have to sell in order to meet his goal?
--------------------------------------------------------------------------------------------------------------
We can create an algebraic Equation to solve this.
- We know that Each Candy Bar costs $1.50.
-We multiply the Amount of Candy Bars with the price.
-We know the profit should be $150
⇒ 1.50x = 150
-Divide by 1.50 on both sides
⇒ 1.50x/1.50 = 150/1.50
-Simplify
⇒ x = 100
==================================================================
Hope I Helped, Feel free to ask any questions to clarify :)
Have a great day!
More Love, More Peace, Less Hate.
-Aadi x
The points (80,20) and (120,30) form a proportional relationship. What is the slope of the line that passes through these points
A. 1/4
B. 4
C. 10
D. 40
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] where the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug the given points (80,20) and (120,30) into the equation
[tex]\frac{y_2-y_1}{x_2-x_1}\\= \frac{30-20}{120-80}\\= \frac{10}{40}\\= \frac{1}{4}[/tex]
Therefore, the slope of the line that passes through these points is [tex]\frac{1}{4}[/tex].
I hope this helps!
Beth's doll is similar to her own quilt by a ration of 1:6. if the width of her doll's quilt is 11 inches, how wide is her own quilt in inches?
Write each number below in scientific notation! Please Help Me With My Math HW!
maxim is making new cushion covers for a chair. there are three sizes of cushions on the chair. what is the surface area of the arm rest cushion?
Answer:
its C
Step-by-step explanation:
a P e X
Sam has 2 dollars less than Alex. How do we write this as an equation?
Answer:
Step-by-step explanation:
Represent the amount of money each of the boys has by S and A. Then, symbolically, S = A - 2. A is the larger amount, S the smaller, and A - S is the difference.
Based on the sample results, about what percent of
the population prefers reading a hard copy?
about 21%
SAMPLE RESULTS
about 16%
DO YOU PREFER TO READ A
HARD COPY OR A DIGITAL
COPY WHEN READING BOOKS,
MAGAZINES, AND/OR
NEWSPAPERS?
about 84%
digital copy: 4
hard copy: 21
n = 25
about 50%
0
-
su come
000
115 Complete
1:11 PM
Answer:
84%
Step-by-step explanation:
Given that :
Number that prefers digital copy = 4
Number who prefers hard copy = 21
Total number of samples =
(digital + hard copy) = 25
Percentage who prefers hard copy :
(Number who prefer hard copy / total number of samples) * 100%
(21 / 25) * 100%
0.84 * 100%
= 84 %
If Julius wants to have $1,500,000 when he retires in 20 years. How much money would
he have to invest today, assuming the investment pays 10% interest and is compounded
daily? Round to the nearest cent.
The nearest cent is 814.45
Solve for x and show your work! For each equation choose if there are:
• zero solutions for x • exactly one solution for x • or an infinite number of solutions for x.
2(3x + 9) = 18 + 6x
Answer:
Infinite number of solutions
Step-by-step explanation:
Use the distributive property
2 x 3x = 6x
2 x 9 = 18
6x +18 = 18 + 6x
Answer: infinite solution