5xf(1)+5xg(9)


solve this please evaluate functions expressions

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

The formula for slope according to first principle is :

[tex] \qquad \sf  \dashrightarrow \: \[ \displaystyle\lim_{x\to0} \: \: \sf \frac{f(x + h) - f(x)}{h} \][/tex]

[tex] \qquad \sf  \dashrightarrow \: \[ \displaystyle\lim_{x\to0} \: \: \sf \frac{ log(x + h) - log(x)}{h} \][/tex]

[tex] \qquad \sf  \dashrightarrow \: \[ \displaystyle\lim_{x\to0} \: \: \sf \frac{ log( \frac{x + h}{x} ) }{h} \][/tex]

[tex] \qquad \sf  \dashrightarrow \: \[ \displaystyle\lim_{x\to0} \: \: \sf \frac{ log( \frac{ h}{x} + 1 ) }{h} \][/tex]

[tex] \qquad \sf  \dashrightarrow \: \[ \displaystyle\lim_{x\to0} \: \: \sf \frac{ log( \frac{ h}{x} + 1 ) }{ \frac{h}{x} \times x} \][/tex]

[tex] \qquad \sf  \dashrightarrow \: \[ \displaystyle\lim_{x\to0} \: \: \sf \frac{1}{x} \bigg(\frac{ log_{e} ( \frac{ h}{x} + 1 ) }{ \frac{h}{x} \times log_{e}(10) } \] \bigg)[/tex]

[tex] \qquad \sf  \dashrightarrow \: \[ \dfrac{1}{x \: log_{e}(10) } \displaystyle\lim_{x\to0} \: \: \sf \bigg(\frac{ log_{e} ( \frac{ h}{x} + 1 ) }{ \frac{h}{x} } \] \bigg)[/tex]

[tex] \qquad \sf  \dashrightarrow \: \[ \dfrac{1}{x \: log_{e}(10) } [/tex]

Now, the best estimate of slope is at x = 20 :

[tex] \qquad \sf  \dashrightarrow \: \[ \dfrac{1}{20\times 2.303} [/tex]

[tex] \qquad \sf  \dashrightarrow \: \[ \dfrac{1}{46.06} [/tex]

[tex] \qquad \sf  \dashrightarrow \: \approx0.0217[/tex]

You can tell if a graph represents a proportional relationship by identifying the y-intercept, or the point of the line that crosses the y-axis.

If the y-intercept is 0, then the relationship is proportional. This is called a direct relationship.

If the y-intercept is anything other than 0, then the relationship is not proportional. This is called an indirect relationship.

I hope this helps!

Answer:

195.45 in

Step-by-step explanation:

Step one:

given

sphere has a radius of 3.6 centimeters.

Required:

the volume of a sphere

The formula for the volume is

V=4/3πr^3

Step two:

subsituting we have

V=4/3*3.142*3.6^3

v=4/3*3.124*46.65

v= 586.37/3

v=195.457 in

to the nearest hundreth 195.45 in

Answer:

[tex]Area = 72[/tex]

Step-by-step explanation:

From the attachment, we can see that the floor has a trapezium shape with the following dimensions.

[tex]Height = 6yd[/tex]

The parallel sides (P1 and P2) are:

[tex]P_1 = 10 + 4 = 14[/tex]

[tex]P_2 = 10[/tex]

The square yard needed to cover the floor is the area of the trapezium surface and this is calculated as follows:

[tex]Area =\frac{1}{2} * (Sum\ of\ parallel\ sides) * Height[/tex]

[tex]Area =\frac{1}{2} * (P_1 + P_2) * Height[/tex]

[tex]Area = \frac{1}{2} * (10 + 14) * 6[/tex]

[tex]Area = \frac{1}{2} * (24) * 6[/tex]

[tex]Area = 12 * 6[/tex]

[tex]Area = 72[/tex]

Hence, 72 square yards is needed to cover the floor

Answer:

25 + 14 = 39 and the fraction form can be [tex]\frac{39}{100}[/tex]

Step-by-step explanation:

let the probability of Aron going on Saturday be A

A

= {Aaron goes to the gym on Monday},

and the probability of him going on a Sunday be B

B

= {Aaron goes to the gym on Sunday}.

In your post, we have the following pieces of information:

P(A)=0.8

P(A)=0.8

,

P(B∣A)=0.3

P(B∣A)=0.3

,

P(B∣ A)=0.9

P(B∣A¯)=0.9

.

What you are looking for is the probability that he goes only once (either on Saturday or Sunday). That is the probability of the event

(A∩ B¯ )∪( A¯ ∩B)

(A∩B¯)∪(A¯∩B)

. [(A∩ B¯)(A∩B¯)

: if he goes on Saturday he won't go on Sunday

A¯∩B

A¯∩B

: if he did not go on Saturday, he will go on Sunday].

We have:

P

((A ∩ B)∪(A ∩B))

=

P(A∩ B )+

P(A∩B)

=

P( B ∣A)

P(A)+

P(B∣ A)

P( A)

=

(1−P(B∣A))

P(A)

+

P(B∣ A)

(1−P(A))

=(1−0.3)×0.8+0.9×0.2

The prob of Aaron going to the gym on exactly one of the two days is =0.74.

P((A∩B¯)∪(A¯∩B))=P(A∩B¯)+P(A¯∩B)=P(B¯)

Answer:

27

Step-by-step explanation:

know that

h = 3

h × h × h

3 × 3 × 3

= 27

The system of equations for find b, the number of black-and-white copies, and c, the number of color copies that the customer paid for at the print shop is,

⇒ b + c = 68

⇒ 0.08b + 0.15c = 6

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

Total amount paid = $6.00

Total copies = 68

Cost of black-and-white copy = $0.08

Cost of color copy = $0.15

Now, Let number of black-and-white copies = b

And, Number of color copies = c

Hence, The equation become;

b + c = 68

0.08b + 0.15c = 6

Therefore, The system of equations for find b, the number of black-and-white copies, and c, the number of color copies that the customer paid for at the print shop is,

⇒ b + c = 68

⇒ 0.08b + 0.15c = $6

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Answer:

it's A

(15 * 10 ^ 5) binom 5*10^ 3 ) =300

(15 * 10 ^ 5)/(5 * 10 ^ 3)

(10 ^ 5)/(10 ^ 3) = 10 ^ 2

= (15 * 10 ^ 2)/5

: 15/5 = 3

= 3 * 10 ^ 2 = 3 * 10 ^ 2

3 * 10 ^ 2 = 300

=300

Answer:

c is the answer

Step-by-step explanation:

{ y≤1

y-x<0

Answer:

total no. of people =630

let the no. of people who ordered fries be x

Then,

60%of 630=x(since 60% of them ordered fries)

60/100×630=x=378

Therefore,the no of people who ordered fries are 378.

Thankyou

[tex]Q=R+Rst \\ \\ Q=R(1+st) \\ \\ \frac{Q}{R}=1+st \\ \\ \frac{Q}{R}-1=\frac{Q-R}{R}=st \\ \\ \boxed{s=\frac{Q-R}{Rt}}[/tex]

Answer:

c ) 7/3

Step-by-step explanation:

Answer:

Cost of student ticket =  $7

Cost of Adult ticket = $17

Step-by-step explanation:

Let cost of student ticket = x

Cost of Adult ticket = y

Making expressions from statements

Mrs. Levin bought 27 student tickets and 25 adult tickets, which cost a total of $614. [tex]27x+25y=614[/tex]

Mr. Lawson spent $733, getting 27 student tickets and 32 adult tickets. [tex]27x+32y=733[/tex]

Now solving these equations to find values of x and y

Let

[tex]27x+25y=614--eq(1)\\27x+32y=733--eq(2)[/tex]

Subtracting both equations

[tex]27x+25y=614\\27x+32y=733\\-\:\:\:-\:\:\:\:\:\:\:\:\:\:\:\:-\\-------\\-7y=-119\\y=\frac{-119}{-7}\\y=17[/tex]

So, we get value of y = 17

Now, finding value of x, by putting value of y in eq(1)

[tex]27x+25y=614\\Put\:y=17\\27x+25(17)=614\\27x+425=614\\27x=614-425\\27x=189\\x=\frac{189}{27}\\x=7[/tex]

So, we get value of x = 7

Cost of student ticket = x = $7

Cost of Adult ticket = y = $17

Answer:

Equation 3

Step-by-step explanation:

Answer:Equation 3

linear functions dont have exponents

Step-by-step explanation:

Answer:

m∠BAC = 105°

m∠FAB = 75°

Step-by-step explanation:

By using the property of an exterior angle of a triangle,

Measure of an exterior angle is equal to the sum of opposite two angles of a triangle.

From the triangle given in the picture,

m∠ABC + m∠BCA + m∠CAB = 180°

(13x - 3)° = (3x + 2)° + 55°

13x - 3 = 3x + 57

13x - 3x = 57 + 3

10x = 60

x = 6

m∠FAB = (13x - 3)° = 75°

m∠ABC = (3x + 2)° = 20°

Since, ∠BAC and ∠FAB are the linear pair of angles,

m∠BAC + m∠FAB = 180°

m∠BAC + 75° = 180°

m∠BAC = 180° - 75° = 105°

Answer:

I think that it is B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

y = -2x + 9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Slope m = -2

Point (3, 3)

Step 2: Find equation

Answer:

the experiment is mine is my favorite but us and I can you too I don't revel in a bit if ok to come to

The statement is False.

Given that the SP is $0.60 per unit and the CP is $0.36 per unit.

So, profit per unit = $(0.60-0.36)

                            = $ 0.24

So, now we have to check whether 2500 units sales is required if we want a profit of $900.

To check we have to multiply the profit per unit with the sales,

      ⇒ 0.24 × 2500

      ⇒ $ 600

We can see clearly that we get a profit of $600 if we sale 2500 units. So, to make a profit of $900 we have to sale = [tex]\frac{900}{0.24}[/tex]

                                                                = 3750 units

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Answer:

9/8

Step-by-step explanation:

Answer: 800 ft^2 ==> c

Step-by-step explanation:

A=Area, l=length, w=width

A=l*w

A=40*20

A=800 ft^2 ==> c

Answer:

binod

Step-by-step explanation:

binod is binod and is binod

Answer:

Step-by-step explanation:

$87

Answer:

Decision rule: Do not reject [tex]H_o[/tex]; we cannot conclude that the mean differs from zero

Step-by-step explanation:

From the given information:

The null hypothesis and alternative hypothesis is given as:

[tex]H_o: \mu = 0 \\ \\ H_1 : \mu \ne 0[/tex]

And the 99% confidence interval for the population mean [tex]\mu[/tex] is: [−3.79, 5.86]

The significance level ∝ = 1 - 0.99 = 0.01

We will notice that the 99% confidence interval for the population mean [tex]\mu[/tex] contains the null hypothesis mean value which is equal to zero.

Thus, we do not reject the null hypothesis at the significance level ∝ = 0.01

∴

Decision rule: Do not reject [tex]H_o[/tex]; we cannot conclude that the mean differs from zero

Answer:

c

Step-by-step explanation:

Based on the table of Motor Vehicle Deaths, the Motor Vehicle Deaths per capita for Ohio is 0.00009 deaths per capita

When something is said to be per capita, it means that it is per person in the population.

The motor vehicle deaths per capita for Ohio can therefore be found by the formula:

= MV Deaths in Ohio / Ohio population

= 1,021 / 11.35 million

= 0.00009 deaths per capita

In conclusion, the Motor Vehicle Deaths per capita for Ohio is 0.00009 deaths per capita

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Answer:

3x = 15 x=5

1x -10=15 x=25

2x-25= 15 x=20

2x+11=15 x=2

-2x+25=15 x= -5

and so on