Solve the logarithmic equation. Show steps

Answer:

14 pieces

Step-by-step explanation:

Simplify 13 1/8 into fraction with denominator 16

Number of pieces

Answer:

about 3 cents

Step-by-step explanation:

1.28 divided by 48 = 0.02667

whihc orunds to 0.03

A number increased by nine (n + 9) is the same as nine increased by a number (9 + n), the correct option is C.

A mathematical phrase is a set of words or a combination of words and numbers that can be written as a mathematical expression.

Given

Jillian was asked to translate the expression 9 + n into words.

She wrote "a number increased by nine.

The expresion can be written into the two formate which is;

(n+9) and (9+n)

Hence, a number increased by nine (n + 9) is the same as nine increased by a number (9 + n), the correct option is C.

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Answer:

Step-by-step explanation:

It is correct. I don't know that getting rid of the  other choices is helpful. The vocabulary (increases) in common usage means "add." I think I would accept it as it is and give her full credit. You can overthink an answer.

Answer:

C. Segment AB is congruent to segment A'B'.

Step-by-step explanation:

Since ABC is being dilated by 1.5, it means that A'B'C will be bigger than ABC.

So, since A'B'C will be bigger than ABC, it sides  will also be bigger than the sides in ABC.

And since the sides/segments are bigger than the original, they are not congruent (congruent means equal).

since we have the area of the front side, to get its volume we can simple get the product of the area and the length, let's firstly change the mixed fractions to improper fractions.

[tex]\stackrel{mixed}{23\frac{2}{3}}\implies \cfrac{23\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{71}{3}} ~\hfill \stackrel{mixed}{4\frac{7}{8}}\implies \cfrac{4\cdot 8+7}{8}\implies \stackrel{improper}{\cfrac{39}{8}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{71}{3}\cdot \cfrac{39}{8}\implies \cfrac{71}{8}\cdot \cfrac{39}{3}\implies \cfrac{71}{8}\cdot 13\implies \cfrac{923}{8}\implies 115\frac{3}{8}~in^3[/tex]

Answer:\frac{2p}{7}+\frac{1}{7}

Step-by-step explanation:you have to simplify these two number thats all can give u bro

Answer:

None of the answer choices.

Step-by-step explanation:

The pattern to this problem is multiply by 4, and subtract 3. However when doing 17 * 4, you get 68. Look how both of the answer chouces start with 68, and we haven't even subtracted 3 yet. This shows that the answer choices are wrong.

Correct Answer: 65, 257

The answer: ———————> 68, 257

Answer:

Step-by-step explanation:

0.1 * 45

= 4.5 miles

Answer:

C) 1.

Step-by-step explanation:

Calculator

Answer:

0.7453

Step-by-step explanation:

[tex]arcsin( \frac{4}{6} ) = 0.7297 \\ cos(0.7297) = 0.7453[/tex]

Answer:

  (a)  3 ft, 4 ft, 5 ft

Step-by-step explanation:

The triangle inequality requires the sum of the two short sides exceed the long side.

__

a) 3 ft + 4 ft = 7 ft > 5 ft . . . . . triangle is possible

b) 4 yd + 1 2/3 yd = 5 2/3 yd < 10 yd . . . . not a possible triangle

c) 3 ft + 3 ft = 6 ft < 7 ft . . . . not a possible triangle

d) 4 in + 4 in = 8 in . . . . not a possible triangle (not greater than 8 in)

__

The first set of side lengths can form a triangle: 3 ft, 4 ft, 5 ft.

Answer:

105cm

Step-by-step explanation:

please click crown below my answer.

Answer: choice B

Step-by-step explanation:

The simplified expression of the function [tex]f (x)= \frac{x-4}{x^2+13x+36}[/tex] is

[tex]f (x)= \frac{x-4}{(x+9)(x+4)}[/tex]. f(x) is increasing for all x > –4

A function is defined as a relation between the set of inputs having exactly one output each.

The function expression is given as:

[tex]f (x)= \frac{x-4}{x^2+13x+36}[/tex]

Expand the denominator

[tex]f (x)= \frac{x-4}{x^2+4x+9x+36}[/tex]

Factorize the denominator

[tex]f (x)= \frac{x-4}{x(x+4)+9(x+4)}[/tex]

Factor out x + 9

[tex]f (x)= \frac{x-4}{(x+9)(x+4)}[/tex]

Hence, the simplified expression of the function [tex]f (x)= \frac{x-4}{x^2+13x+36}[/tex] is

[tex]f (x)= \frac{x-4}{(x+9)(x+4)}[/tex].  f(x) is increasing for all x > –4

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Answer: f(x) is increasing for all x > -4

Proof of validity is shown below.

Answer:

39

Step-by-step explanation:

3*5=15

15+2=17

|x-8|=3

3*17=51

51-12=39

If the radius of the circle is 6 feet. Then the area of the circle will be 113.097 square feet.

It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.

The radius of the circle is 6 feet.

Then the area of the circle will be

Area = πr²

where r is the radius of the circle. Then we have

Area = π × 6²

Area = 36π

Area = 113.097 square feet

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Find the amount of decay:

1200 - 900 = 300

Divide amount of decay by original amount:

300/1200 = 0.25

The percent of decay is 25 %

The decay factor is 1.00 a 0.25 = 0.75

Answer:

C

Step-by-step explanation:

the root can be a minnimum of 0 otherwise the function would be imaginary,  sqrt(x-1)+2 has a minimum of 2. This means that g(x), or y is greater than or equal to two.

Answer:

I believe the answer is C

Step-by-step explanation:

if its wrong, im sorry an I will delete the answer

Reason:

There is only one Z distribution, which is also known as the standard normal distribution. This distribution has a mean of mu = 0 and a standard deviation of sigma = 1. So unless you consider a family to only have one member, then I'd consider the statement your teacher gave you to be false.

On the other hand, if we were talking about the student T distribution, then this is a family of function curves. The reason being is that the degrees of freedom (df) will change the shape of said curve. The value of df will depend on the sample size n. Recall that df = n-1. As n gets larger, then the T distribution curves will slowly start to look like the Z distribution. For n > 30, the difference is so very minor that it's easier to swap over to the Z distribution even if you don't know sigma.

In other words, there is a family of T distribution curves in which slowly approach to mimicking the Z distribution curve when n is large (usually n > 30).

Answer:

Ted is wrong

The triangle is a right triangle because of the right 90° angle formed at the bottom.

The linear equation of the tangent at point A is given by:

[tex]y = \frac{-4x + 25}{3}[/tex]

A linear function is modeled by:

y = mx + b

In which:

In this problem, to find the slope, we need to find the derivative at (4,3), using implicit differentiation. Hence:

[tex]2x\frac{dx}{dx} + 2y\frac{dy}{dx} = 0[/tex]

[tex]\frac{dy}{dx} = -\frac{x}{y}[/tex]

[tex]\frac{dy}{dx} = -\frac{4}{3}[/tex]

Then:

[tex]y = -\frac{4}{3}x + b[/tex]

We use point (4,3) to find b, hence:

[tex]y = -\frac{4}{3}x + b[/tex]

[tex]3 = -\frac{16}{3} + b[/tex]

[tex]b = \frac{25}{3}[/tex]

Hence, the equation is:

[tex]y = \frac{-4x + 25}{3}[/tex]

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The total ounces she needs to make her recipes is 22 ounces

From the question, we are to determine how many total ounces Marni needs to make her recipe

From the given information,

Marni has 24 ounces of walnuts

Also,

She needs 14 ounces for one recipe

and

1/2 pounds for another

First, we will convert 1/2 pounds to ounces

NOTE: 1 pound = 16 ounces

∴ 1/2 pound = 8 ounces

Then, we can rewrite that

She needs 14 ounces for one recipe

and

8 ounces for another

The total ounces she needs to make her recipes = 14 ounces + 8 ounces

The total ounces she needs to make her recipes = 22 ounces

Hence, the total ounces she needs to make her recipes is 22 ounces

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Answer:

95 oz

Step-by-step explanation:

37 oz / 30 c   * 77 c = ~ 95 oz    (see how the 'c' cancels and you are left with 'oz' ? )

Answer: 4/52 = 1/13

Step-by-step explanation: We know that a full deck of cards is 52 and there are 4 suits in a deck. Which means that there are 4 queens in each deck. Now, we can add that up together which gives us 4/52, and can be simplified down to 1/13 because 4/52 isn't the smallest we can get our fraction.

Hope this helps :)

Answer:

0.077

Step-by-step explanation:

1/13 in decimal form is 0.07692307692 which rounds up to 0.077 which will be your answer.

Answer:

Tank Volume/1 cubic centimeter.

Step-by-step explanation:

We dont know how big the tank is.

Answer:

The answer is 2

Step-by-step explanation:

the answer is 2

Answer:

8

Step-by-step explanation:

Subtract 6 to 7 then add that to the 7.

Answer:

[tex]\dfrac{dy}{dx}=\cot x+\dfrac{1}{x}[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{6 cm}\underline{Product\:Rule}\\\\$\dfrac{d}{dx}[f(x)g(x)]=f(x)g'(x)+f'(x)g(x)$\\\\\\\underline{Chain\:Rule}\\\\$\dfrac{dy}{dx}=\dfrac{dy}{du} \times \dfrac{du}{dx}$\\\end{minipage}}[/tex]

[tex]\textsf{Given}:y=\log (x \sin x)[/tex]

[tex]\textsf{Let }u=x \sin x \implies y=\log(u)[/tex]

Using the product rule, differentiate y with respect to [tex]u[/tex]:

[tex]\textsf{If }y=\log(u) \implies \dfrac{dy}{du}=\dfrac{1}{u}\implies \dfrac{dy}{du}=\dfrac{1}{x \sin x}[/tex]

----------------------------------------------------------------------------------------

Differentiate [tex]u=x \sin x[/tex] with respect to x using the product rule:

[tex]\implies \textsf{Let }f(x)=x \implies f'(x)=1[/tex]

[tex]\implies \textsf{Let }g(x)=\sin x \implies g'(x)=\cos x[/tex]

[tex]\implies \dfrac{du}{dx}=x \cos x + \sin x[/tex]

----------------------------------------------------------------------------------------

Use the chain rule to differentiate y with respect to x:

[tex]\implies \dfrac{dy}{dx}=\dfrac{dy}{du} \times \dfrac{du}{dx}[/tex]

[tex]\implies \dfrac{dy}{dx}=\dfrac{1}{x \sin x} \times (x \cos x + \sin x)[/tex]

[tex]\implies \dfrac{dy}{dx}=\dfrac{x \cos x + \sin x}{x \sin x}[/tex]

[tex]\implies \dfrac{dy}{dx}=\dfrac{x \cos x}{x \sin x}+\dfrac{\sin x}{x \sin x}[/tex]

[tex]\implies \dfrac{dy}{dx}=\cot x+\dfrac{1}{x}[/tex]

Answer:

[tex]\displaystyle \large{\dfrac{d}{dx}[\log(x\sin x)] = \dfrac{1}{x\ln 10} + \dfrac{\cot x}{\ln 10}}[/tex]

Step-by-step explanation:

Given:

[tex]\displaystyle \large{y=\log (x\sin x)}[/tex]

Recall the (common) logarithmic differentiation & chain rules:

[tex]\displaystyle \large{\dfrac{d}{dx}[\log (u)] = \dfrac{u'}{u\ln 10}}[/tex]

Let [tex]\displaystyle \large{u=x\sin x}[/tex] then:

[tex]\displaystyle \large{\dfrac{d}{dx}[\log(x\sin x)] = \dfrac{(x\sin x)'}{x\sin x \ln 10}}[/tex]

Recall product rules:

[tex]\displaystyle \large{[f(x)g(x)]' = f'(x)g(x)+f(x)g'(x)}[/tex]

Hence:

[tex]\displaystyle \large{\dfrac{d}{dx}[\log(x\sin x)] = \dfrac{(x)'\sin x + x(\sin x)'}{x\sin x \ln 10}}\\\\\displaystyle \large{\dfrac{d}{dx}[\log(x\sin x)] = \dfrac{\sin x + x\cos x}{x\sin x \ln 10}}\\\\\displaystyle \large{\dfrac{d}{dx}[\log(x\sin x)] = \dfrac{\sin x}{x \sin x \ln 10} + \dfrac{x \cos x}{x\sin x \ln 10}}\\\\\displaystyle \large{\dfrac{d}{dx}[\log(x\sin x)] = \dfrac{1}{x\ln 10} + \dfrac{\cot x}{\ln 10}}[/tex]

From above, recall that:

[tex]\displaystyle \large{\dfrac{d}{dx}(\sin x) = \cos x}\\\\\displaystyle \large{\dfrac{A\pm B}{C} = \dfrac{A}{C} \pm \dfrac{B}{C}}\\\\\displaystyle \large{\dfrac{\cos x}{\sin x} =\cot x}[/tex]

Hence, the answer is:

[tex]\displaystyle \large{\dfrac{d}{dx}[\log(x\sin x)] = \dfrac{1}{x\ln 10} + \dfrac{\cot x}{\ln 10}}[/tex]