If tall is completely dominant over short, then the mother's genotype is either TT or Tt. The father is short so his genotype is tt.
Crossing TT with tt produces only heterzygous offspring with genotype Tt. Then the genotypic and phenotypic ratios are 0 TT : 1 Tt : 0 tt and 1 tall : 0 short, respectively. As percentages, these would
• geno: 0% TT : 100% Tt : 0% tt
• pheno: 100% tall : 0% short
Crossing Tt with tt on the other hand produces offspring with genotype either Tt or tt with equal probability, so that the geno and pheno ratios are 0 TT : 1 Tt : 1 tt and 1 tall : 1 short. As percentages,
• geno: 0% TT : 50% Tt : 50% tt
• pheno: 50% tall : 50% short
The function f is given by f(x)=(x^{3}+bx+6)(g(x)), where b is a constant and g is a differentiable function satisfying g(2)=3 and g′(2)=−1. For what value of b is f′(2)=0?
7
10
12
22
Answer:
[tex]\displaystyle b = -22[/tex]
Step-by-step explanation:
We are given the function:
[tex]\displaystyle f(x) = (x^3+bx+6)(g(x))[/tex]
Where b is a constant and g is a differentiable function.
And we want to determine the value of b such that f'(2) = 0.
Find f' using the product rule:
[tex]\displaystyle \begin{aligned} f'(x) & = \frac{d}{dx}\left[ (x^3+bx+6)(g(x))\right] \\ \\ & = \frac{d}{dx}\left[ x^3 + bx + 6\right] g(x) + (x^3+bx+6)\frac{d}{dx}\left[ g(x)\right] \\ \\ & = (3x^2+b)(g(x)) + (x^3 + bx + 6)(g'(x))\end{aligned}[/tex]
Substitute using known values and solve for b:
[tex]\displaystyle \begin{aligned}f'(2) = 0 & = (3(2)^2+b)(g(2)) + ((2)^3+b(2)+6)(g'(2)) \\ \\ 0 & = (12+b)(3) + (14+2b)(-1) \\ \\ 0 & = 22 +b \\ \\ b & = -22\end{aligned}[/tex]
In conclusion, the value of b is -22.
The function f is given b is a constant and g is a differentiable function the value b (-8.4),
Let's start by finding the derivative of the given function f(x) with respect to x:
f(x) = (x³ + bx + 6) × g(x)
Using the product rule for differentiation, the derivative of f(x) is:
f'(x) = (x³ + bx + 6) × g'(x) + g(x) × (3x² + b)
Now we are interested in finding the value of b for which f'(2) = 0. So, let's plug in x = 2 and use the information given about g(2) and g'(2):
f'(2) = (2³ + 2b + 6) × g'(2) + g(2) × (3 × 2² + b)
Since g(2) = 3 and g'(2) = -1,
f'(2) = (8 + 2b + 6) × (-1) + 3 × (3 × 4 + b)
= (2b + 14 - 8) + 3× (12 + b)
= 2b + 6 + 36 + 3b
= 5b + 42
Now, we want to find the value of b for which f'(2) = 0:
5b + 42 = 0
Subtracting 42 from both sides:
5b = -42
Dividing both sides by 5:
b = -8.4
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Complete question:
The function f is given by f(x)=(x^{3}+bx+6)(g(x)), where b is a constant and g is a differentiable function satisfying g(2)=3 and g′(2)=−1. For what value of b is f′(2)=0?
7
10
12
22
-8.4
A production line operation is designed to fill cartons with laundry detergent to a mean weight of 32 ounces. A sample of cartons is periodically selected and weighed to determine whether under-filling or over-filling is occurring. If the sample data lead to a conclusion of under-filling or over-filling, the production line will be shut down and adjusted to obtain the proper filling.
a. Formulate the null and alternative hypotheses that will help in deciding whether to shut down and adjust the production line.
b. Comment on the conclusion and the decision when the null hypothesis cannot be rejected.
c. Comment on the conclusion and the decision when the null hypothesis can be rejected.
Answer:
b
Step-by-step explanation:
mark brainliest pls....
The ordered pair (8,2) is found in the ____ Quadrant
What is f ( x ) = 2x + 2
A .4
B . 2
C . -2
Pick only 1 answer !!! Thank you
Answer:
X = -1 (unsure as to how this is not an answer but I have checked my work)
Step-by-step explanation:
( f(x) = y )
1. y = 2x + 2
-2 -2
2. -2 = 2x
/2 /2
3. -1 = x
3. The length of a rectangle is 20 meters long and the width is 15 meters. Find the
ratio of the length to the width of the rectangle. Then simplify the ratio.
Answer:
4/3 1.333 1 1/3
Step-by-step explanation:
4x>=112
A.25
B.27
C.28
D.33
E.1
F.21
Answer:
C
Step-by-step explanation:
112 divided by 4 equals 28
Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 8 liters of natural oil for every 5 liters of synthetic oil.
In order to make 1196 liters of Petrolyn oil, how many liters of natural oil are needed?
Answer:
it would need 40 liters of natural oil
8x5=40
BRAINIEST IF CORRECT
The triangle below is equilateral. Find the length of side x in simplest radical
form with a rational denominator.
V12
Answer:
The side of an equilateral triangle equals:
2 * height / sqr root (3)
side = 2 * sqr root (12) / sqr root (3)
side = 2 * 2 * sqr root (3) / sqr root (3)
side x = 4
Step-by-step explanation:
A 3-gallon bottle of fabric softener costs $51.36. What is the price per cup?
Answer:
$1.07
Step-by-step explanation:
16 cups per gallon
16*3=48cups
51.36/48=1.07
-12/5+3/10/11/14-(-9/14)
Answer:
-6/5
Step-by-step explanation:
I hope it helps, bye
A salesperson will earn a commission equal to 1/12 of the total sales. What is the commission earned on sales totaling $43,000?
Answer: $3583.33
Step by Step Explanation:
43,000 * 1/12 = 43,000/12 = $3583.33
Find the area of the figure. Round to the nearest tenth if necessary.
Answer:
what is the figure i can kindly help if the figure was there i will edit this message and give the answer after i see the figure
Suppose you have 57 coins in a jar consisting entirely of dimes and quarters, worth a total of $10.65. How many dimes are in the jar?
Answer:
24
Step-by-step explanation:
Let d represent the number of dimes. Then (57-d) is the number of quarters, and the total value (in cents) is ...
10d +25(57 -d) = 1065
-15d +1425 = 1065 . . . . . . simplify
-15d = -360 . . . . . . . . . . subtract 1425
d = -360/-15 = 24 . . . divide by the coefficient of d
There are 24 dimes in the jar.
find the height of the tree
Use the property of similarity of triangles =》the corresponding sides of a triangle should be in the same ratio.
Take the missing side as 'x'.
The corresponding sides here are,
■ 7 & 14 ft
■ 5 & x ft
7/14 = 5/x
7x = 5 × 14 (cross multiplication)
7x = 70
x = 70/7
x = 10 ft
Height of the tree = 10 ft.
_____
Hope it helps ⚜
Graph the line with slope -2 passing through the point (4, 1)
Answer:
Use points (4,1) and (3,-1)
Step-by-step explanation:
Let's say the other coordinates are (x,y).
Then, we know (1-y)/(4-x)=2. So if y is -1, and x is 3, then we get:
[1-(-1)]/(4-3)=2/1=2
So draw the two points, (4,1) and (3,-1) on a coordinate plane, and use a ruler to make a line that goes through both the points.
Write and expression for the senqence of operations described below.
raise 6 to the 2nd power, then subtract r from the result
Do not simplify any part of the expression.
Raise [tex]6[/tex] to the second power, [tex]6^{2}[/tex], the subtract r from the result, that should be [tex]6^{2} - r[/tex], since we are not to simplify the expression, that's the answer.
A child has the magnet numbers 1 through 50 on their fridge. What is the probability that the child will choose a number that is not a multiple of 9?
Give your answer in fraction form.
Answer:
9/10
Step-by-step explanation: the magic mushroom said so
Mrs bai bought 4 boxes of handkerchief for $31.20. There were 12 handkerchief in the box. Find the cost of the 1 handkerchief
Answer:
0.65 cents
Step-by-step explanation:
12x4=48 total
31.20/48 = 0.65 cents each
What is the answer for 6 7/16 - 4 1/2?
Answer:
1.9375
Step-by-step explanation:
used a clacalator
Answer:
31/16 or 1.9375 or 1 and 15/16
Step-by-step explanation:
When z=−6, evaluate −2(z+9)−(−5) and −2⋅z−2⋅9+5 to show that −2(z+9)−(−5)=−2⋅z−2⋅9+5
Ignore this, I posted the wrong answer and I don't know how to delete it.
Answer:
Yes/true
Step-by-step explanation:
-2(z+9)-(-5)=-2⋅z-2⋅9+5
sostituisco la lettera dandogli un valore
=-2(-6+9)-(-5)=-2⋅(-6)-2⋅9+5
calcolo e tolgo le parentesi
=-2⋅3+5=12-18+5
Elimino i termini uguali
=-2⋅3=12-18
Somma e moltiplicazione tra i numeri
=-6=-6
Plot 1[tex]\frac{2}{5}[/tex] −12, and −2[tex]\frac{1}{10}[/tex] on the number line.
Answer:
1st= 2.4 on the line
2nd= -0.5 on the line
3rd=2.1 on the line
Step-by-step explanation:
1st=because each line represents 1 part so if it is split into 5 you have to treat 2 lines as one
2nd 1/2=0.5 so -1/2= -0.5
3rd if one line is one part then it is 2.1
I need help with this question
Identify the slope formula.
Answer:
The second one is the answer.
Step-by-step explanation:
slope= y2-y1
------------
x2-x1
Decide whether the data in the table represent a linear function or an
exponential function.
O A. The data represent a linear function because there is a common difference of -8.
OB. The data represent an exponential function because there is a common ratio of 2.
C. The data represent a linear function because there is a common
difference of 8.
D. The data represent an exponential function because there is a common ratio of 1/2
f we plot the provided points, we'd end up with something like the picture below, which is a line, mind you a declining line from left to right, so we can pretty see it has a negative slope, to get the slope we can just pick any two given points and check what it might be as well as get its equation, hmmm let's use the points of (4,-8) and (2,8)[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{-8})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{8}-\stackrel{y1}{(-8)}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{4}}}\implies \cfrac{8+8}{-2}\implies \cfrac{16}{-2}\implies -8 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-8)}=\stackrel{m}{-8}(x-\stackrel{x_1}{4})\implies y =-8x+24[/tex]
so is linear because it has a slope (common difference) of -8,
Which of the following is a right triangle based on the given figure?
Answer:
BDE
Step-by-step explanation:
Two angle measures of this triangle are 60°. Which type of triangle is it? O A. obtuse O B. scalene O C. equilateral O D. right
plz need help now :(
Answer:
equilateral
Step-by-step explanation:
all the sides are equal
The total length of 3 pipes is 24 inches. The middle-sized pipe is 6 inches longer than the smallest. The largest is twice as long as the smallest. How long is the middle-sized pipe?
Answer:
18
Step-by-step explanation:
let the be x
if the middle sized pipe is 6 inches longer than the smallest.
so 24 subtract from 6=18
How many solutions does the system of equation have?
2x + 3y = 9 and y = 2/3x - 2
A.
One solution
B.
Two solutions
C.
Infinitely many solutions
D.
No solutions
Answer:
A. One solution
Step-by-step explanation:
y = 2/3x - 2 has slope of 2/3
2x + 3y = 9
3y = -2x + 9
y = (-2/3)x + 3 has slope of -2/3
lines with different slopes have only ONE intersection
Jill bought 7 pounds of melon and 0.9 pounds of cherries. How much fruit did she buy in all
Answer:
7.9 pounds of fruit
Step-by-step explanation:
In all means to add, so 7 + .9 = 7.9 pounds
Natalie walked
3
5
mile in
1
2
hour. How fast did she walk, in miles per hour?
A.
5
6
miles per hour
Answer:
7 miles / hour
Step-by-step explanation:
I'm taking this to mean she walked 3.5 miles. She did this 1/2 hour.
Givens
d (distance ) = 3.5 miles
t (time) = 1/2 hour
r (rate) = ?
Formula
r = d/t
Solution
The easiest way to do this is to change the fractions to decimals.
t = 1/2 = 0.5 hours
r = 3.5 / 0.5
r = 7 miles per hour.