an exponential function with a base of 3 that has been transformed from the parent by a vertical stretch by a factor of 4 and a reflection across the y-axis.

Answer:

(fg)'(5) = -40

(f/g)'(5) = -68/36

(g/f)'(5)= 17

Step-by-step explanation:

(fg)'(5) =

Applying the product derivative:

[tex]fg(5) = f^{\prime}(5)g(5) + g^{\prime}(5)f(5) = 9*(-6) + 7*2 = -54 + 14 = -40[/tex]

(f/g)'(5) =

Applying the quotient derivative

[tex](\frac{f}{g})^{\prime}(5) = \frac{f^{\prime}(5)g(5) - g^{\prime}(5)f(5)}{g(5)^2} = \frac{9*(-6) - 7*2}{6^2} = -\frac{68}{36}[/tex]

(g/f)'(5)=

[tex](\frac{g}{f})^{\prime}(5) = \frac{g^{\prime}(5)f(5) - f^{\prime}(5)g(5)}{f^{\prime}(5)^2} = \frac{7*2 - 9*(-6)}{2^2} = \frac{68}{4} = 17[/tex]

Answer: 13.5 m, hope this helps :)

If the volume of the sphere is 651 m³. Then the diameter of the sphere will be 10.75 meters.

If the given sphere is of radius r units, then its volume is given as:

V = 4/3 πr³ unit³

The volume of the sphere is 651 m³.

Then the diameter of the sphere will be

We know the formula in the form of diameter.

V = 1/6 πd³ unit³

Then we have

651 = 1/6 πd³

πd³ = 3906

 d³ = 1243.31

  d = 10.75 m

Learn more about the volume of a sphere here:

https://brainly.com/question/381274

#SPJ2

Answer:

angle C =113 degree

Step-by-step explanation:

angle A + angle C =180 degree

angle C = 180 degree - angle A  

angle C = 180 degree - 67 degree

=113 degree

Answer:

Solution given:

<Q+<P=180°[su m of co interior angle is supplementary]

<Q+95=180

<Q=180-95

<Q=85

m<Q=85° degree

Answer:

3/2

Step-by-step explanation:

6/5 = 1 1/5

7/5 = 1 2/5

3/2 = 1 1/2

1/5 < 2/5 < 1/2

Answer:

8j + 10

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

use pemdas

Hope this helps

Answer:

A=180in²

Step-by-step explanation:

b≈0.61m

h≈0.38m

Answer:

180 in

Step-by-step explanation:

since you need the answer in inches first turn the 2 feet into inches so it would be 24 inches then follow the formula...........area = (1/2) · b · h and your answer should be 180. I hope I helped :)

Answer:

Step-by-step explanation:

11 no

46+4x=90 degree(being perpendicular)

4x=90-46

x=44/4

x=11

12 no

They are complementary angles

6 no

angle B+27=180 degree(being straight line)

angle B=180-27

angle B=153

10 no

angle 38 +angle DFE=180 degree(being supplementary)

angle DFE=180-38

angle DFE=142 degree

5 no

They are vertically opposite angles.

7 no

angle AGF and angle CGD (because they have common arm and vertex)

Answer:

Solution given:

11.4x+46=90[being right angle]

4x=90-46

x=44/4

x=11

12.

Complementary angles

5.

vertical

6.

<ABD+27=180°[linear pair]

<ABD=180-27

<ABD=153° degree

10.

<DFE+38=180[being supplementary]

<DFE=180-38

<DFE=142 degrees.

7.

angle DGE and angle DGC

8.

<AGB and <AGE

Answer:

y = |x + 2|

Step-by-step explanation:

given the straight shape, it must be a linear function, but the "bend" in it indicates that an absolute value is being used.

So to start we can say: y = |x|

But that's not sufficient, as it would show that bend being at 0, 0. Instead, we need to translate it two units to the left, giving us:

y = |x + 2|

GIVEN

L×B = 1624. ---1)

2(L+B) = 170

(L+B) = 85

L= 85- B

Substitute value of L in eq 1)

(85-B)B = 1624

B²-85B+1624 = 0

B²-56B-29B+1624 = 0

B(B-56)-29(B-56) = 0

(B-29)(B-56) = 0

B= 29 OR B= 56

IF B = 29, L = 56

IF B = 56, L = 29

The dimension of lawn is 56×29 cm²

Answer:

a number p, 14 - p

Step-by-step explanation:

Answer:

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

ax²+bx+c

Simplify each term.

3x²+2−x³+5x³−2x²−1

Simplify by adding terms.

4x³+x²+1

Step-by-step explanation:

===================================================

Work Shown:

height = h

base = h+3, since the base is 3 more than the height

area = base*height

area = h*(h+3)

area = h*h + h*3

area = h^2+3h

Step-by-step explanation:

Given in the question,

C(8,2)

Formula to use:

nCr = n! / r! * (n - r)!

here n = 8

r = 2

We have to calculate combinations of 8 object taken 2 at a time, then

C(8,2)

8C2

8! / 2! * (8 - 2)!

56/2

28

So, 8C2 = 28

Answer:

In probability, there's a very important distinction between the words and and or. And means that the outcome has to satisfy both conditions at the same time. Or means that the outcome has to satisfy one condition, or the other condition, or both at the same time.

Step-by-step explanation:

thank me later

Answer: 12 THE ANSWER IS 12 FOR SURE

Step-by-step explanation: Did I get it right!?!??!

Answer:

AB = 9

Step-by-step explanation:

Here is a simple case of a proportion.

We see that:

3:4

x:12

what can we do to make 4 into 12?

we multiply it by 3

so we do the same to 3

3*3=9

Answer:

1/6

Step-by-step explanation:

the options greater than 4 on a six-sided dice are 5 and 6 so 2 out of the 6 options so that simplifies to 1/3 and then heads or tails for the coin is 1/2 so then multiply 1/3 times 1/2 to get the probability of those both happening and the answer is 1/6

Answer:

5x² - 10

Step-by-step explanation:

Step 1:

( [tex]3x^{2}[/tex] + 4x - 8 ) - ( [tex]-2x^{2}[/tex] + 4x + 2 )   Equation

Step 2:

3x² + 4x - 8 + 2x² - 4x - 2    Open Parenthises

Answer:

5x² - 10          Simplify

Hope This Helps :)

Answer:

5x² + 10

Step-by-step explanation:

Given Equation :-

( 3x² + 4x - 8 ) - ( -2x² + 4x + 2)

Solution :-

Step 1:- Remove unnecessary parantheses.

Step 2 :- arranging like terms.

Step 3 :- Calculate like terms.

Answer:

The answer is "[tex]\frac{dA}{dt}+ \frac{A}{100}=0\ \ and \ \A(0)=60[/tex]"

Step-by-step explanation:

[tex]A(0)=60\\\\ \frac{dA}{dt}=Rin-Rout\\\\Rin=0\\\\Rout=\frac{A(t)}{500} \times (5)\\\\ =\frac{A}{100}\\\\ so,\\\\\frac{dA}{dt}=Rin-Rout\\\\\frac{dA}{dt}=0- \frac{A}{100}\\\\\frac{dA}{dt}+ \frac{A}{100}=0\\\\A(0)=60[/tex]

Answer:

It's 5/4 because you go by x first

Answer:

A:(5,4)

Step-by-step explanation:

Just look. at the graph.Hope this helps

Given =

n=6,

r=1/4

a=2

Sn = a+ar+ar²+ar³+ar⁴+ar⁵= 2+0.5+0.125+0.03125+0.0078125+0.00195~ 2.67

Answer:

It's the first one I think

Step-by-step explanation:

Compound inequalities :A compound inequality is a sentence with two inequality statements joined either by the word “or” or by the word “and.” “And” indicates that both statements of the compound sentence are true at the same time. It is the overlap or intersection of the solution sets for the individual statements .

THE CORRECT ANSWER IS THE LAST ONE ..

Answer:

A) Since each apple pie costs $ 1, with $ 13 Yenni bought 13 apple pies.

B) Yenni had $ 14.20 at the beginning.

Step-by-step explanation:

Since Yenni bought some apple pies for $ 13 and had some money left, and if she buys 1 more apple pie, she would have $ 0.20 left, while if she decided to buy 3 more apple pies, she would be short of $ 1.80, for To determine how many apple pies did she buy with $ 13, and how much money did Yenni have at first, the following calculations must be performed:

0.20 - (-1.80) = X

0.20 + 1.80 = X

2 = X

2/2 = 1

Therefore, since each apple pie costs $ 1, with $ 13 Yenni bought 13 apple pies.

13 + 1 + 0.20 = 14.20

14.20 - 13 = 1.20

In turn, Yenni had $ 14.20 at the beginning.

Answer:The area of a circle is increasing at a constant rate of 279 square feet per minute. At the instant when the radius of the circle is 6 feet, what is the rate of change of the radius? Round your answer Io three decimal places. 37.699 ft/min 3.701 ft/min 7.401 ft/min 2.79 ft/min

Step-by-step explanation:

Answer:

0.6069

Step-by-step explanation:

Given an approximately normal distribution:

Z = (x - mean) / standard deviation

Mean = 69.3 ; Standard deviation = 2.58

For :

P(x < 70)

Z = (70 - 69.3) / 2.58

Z = 0.7 / 2.58

Z = 0.2713

P(Z < 0.2713) = 0.6069

Answer:

1.731 meters squared

Step-by-step explanation:

Look at the image for reasoning

Answer: $0.1359375

Step-by-step explanation:

First and foremost, we should note that 1 gallon = 128 ounce. Therefore, $3.48 per gallon simply means $3.48 for 128 ounce. Therefore, the cost per ounce will be:

= $3.48 / 128

= $0.0271875

Therefore, the amount for the the milk for one portion cost which requires 5 ounces of milk will be:

= $0.0271875 × 5

= $0.1359375

Answer:

24

Step-by-step explanation:

5(2) + 7(2) = 10+14 = 24