the product of -3 and t is greater than 11

Answer:

879

Step-by-step explanation:

84 |73836          

1738-672=663

663-588=756

The simplified expression for (f ∘ g)(x) is 2 + x (option d).

To find and simplify (f ∘ g)(x), we need to substitute the expression for g(x) into f(x) and simplify.

Given:

f(x) = log₃(9x)

g(x) = \(3^x\)

Substituting g(x) into f(x):

(f ∘ g)(x) = f(g(x)) = log₃\((9 * 3^x)\)

Now, we simplify the expression:

log₃\((9 * 3^x)\) = log₃(9) + log₃\((3^x)\)

Since logₓ(a * b) = logₓ(a) + logₓ(b), we have:

log₃(9) + log₃\((3^x)\) = log₃\((3^2)\) + x

Using the property logₓ\((x^a)\) = a * logₓ(x), we get:

log₃\((3^2)\) + x = 2 * log₃(3) + x

Since logₓ\((x^a)\) = a, where x is the base, we have:

2 * log₃(3) + x = 2 + x

Therefore, (f ∘ g)(x) simplifies to:

(f ∘ g)(x) = 2 + x

So, the correct answer is (d) 2 + x.

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Complete Question:

Given f(x)=log₃(9x) and g(x)=\(3^x\). Find and simplify (f ∘ g)(x)

(a) 2x

(b) x

(c) \(27^x\)

(d) 2+x

(e) None of these.

Step-by-step explanation:

That means the 96 is  75% of your grade

   96 (.75) + 75 (.25) = 90.75  final grade

Answer:

a. 12x+22, b. x = 9

Step-by-step explanation:

a. The perimiter in terms of x is 2((4x+8)+(2x+3)) = 12x+22

b. 12x+22=136, 12x=108, x=9

a. 12x+22, b. x = 9

Step-by-step explanation:

a. The perimiter in terms of x is 2((4x+8)+(2x+3)) = 12x+22

b. 12x+22=136, 12x=108, x=9

Answer:

Brainliest

Step-by-step explanation:

21,000 x 0.89^7 =

9,288.58032806109 = 9288.58

Answer:

£9288.58

Step-by-step explanation:

Initial price= 21000

Price drop rate= 11%

Time= 7 years

Price at the end of 7 years: £21000*((100-11)/100)^7= £9288.58

Answer:

G(x) = 3x +2

Step-by-step explanation:

I do not know what the problem is asking for, but if it's asking for the function, here you go.

Answer:

shbdhsjdcjsvdbssegehehhehehejrjehe

Answer:

113.1 cm³

Step-by-step explanation:

diameter = 2 X radius

Volume of sphere = (4/3) X π X r ³

= (4/3) π (3)³

= 36π

= 113.1 cm³ to nearest tenth

Answer:

6 dollars per children ticket.

Step-by-step explanation:

Sorry if my explanation doesn't make much sense or you don't understand it.

700x + 300y = 7200

if, y = 10

700x + 300(10) = 7200

700x + 3000 = 7200

        - 3000 = -3000

700x             = 4200

700x/700   = 4200/700

x = 6

Answer:

$6 per child ticket

Step-by-step explanation:

Since the adult ticket cost is given, we can multiply that by the amount of adult tickets sold to get the portion of the total money made is adults only.

300 × 10 = $3000 in adult tickets sold

7200 - 3000 = $4200 in children tickets sold

Since we know there were 700 children tickets sold we can divide these amounts to get the cost of a children ticket.

4200 ÷ 700 = $6 per child ticket

Answer: 6−18

Step-by-step explanation:

Simplifying

(2x + -6) + 4(x + -3) = 0

Reorder the terms:

(-6 + 2x) + 4(x + -3) = 0

Remove parenthesis around (-6 + 2x)

-6 + 2x + 4(x + -3) = 0

Reorder the terms:

-6 + 2x + 4(-3 + x) = 0

-6 + 2x + (-3 * 4 + x * 4) = 0

-6 + 2x + (-12 + 4x) = 0

Reorder the terms:

-6 + -12 + 2x + 4x = 0

Combine like terms: -6 + -12 = -18

-18 + 2x + 4x = 0

Combine like terms: 2x + 4x = 6x

-18 + 6x = 0

Solving

-18 + 6x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '18' to each side of the equation.

-18 + 18 + 6x = 0 + 18

Combine like terms: -18 + 18 = 0

0 + 6x = 0 + 18

6x = 0 + 18

Combine like terms: 0 + 18 = 18

6x = 18

Answer:

Step-by-step explanation:

8(y+4)=2(x+1)

divide by 8    y+4=1/4x+1/4   subtract 4    y=1/4x - 3 3/4   multiply by 4   y=1/4(x-15)

Answers:

Equation in standard form: \(y = \frac{1}{8}(x+1)^{2} -4\)

Axis of Symmetry: x = -1

Vertex: (-1, -4)

Focus: (-1, -2)

Directrix: y = -6

Step-by-step explanation:

First, let's clean up some of the mess with the equation that we have been given in this question and put it in standard form so that we can find the features we've been asked to give.

Our initial equation is:  \(8(y+4)=(x+1)^{2}\)

In order to put our equation in standard form, we must isolate y, so that it is in terms of y.

First, we need to divide both sides by 8. When we do this, we get  \(y+4=\frac{(x+1)^{2} }{8}\) or \(y+4=\frac{1}{8}(x+1)^{2}\). Then we need to subtract 4 from both sides to get:  \(y = \frac{1}{8}(x+1)^{2} -4\).

Now, we can start to find the features of the parabola. Remember, the standard form of equations involving parabolas is \(y=a(x-h)+k\) where \(a =\frac{1}{4p}\).

The axis of symmetry is at \(x=h\), in this case \(h=-1\) so the axis of symmetry is \(x=-1\).

The vertex is located at \((h, k)\). As we previously stated \(h=-1\), but additionally, \(k=-4\) making the vertex located at \((-1,-4)\).

The focus is located at \((h, k+p)\) and the directrix is located at \(y=k-p\). For this, we need to find p which we can find with the equation \(a =\frac{1}{4p}\). Substituting the value of “a” into the equation, we get \(\frac{1}{8} = \frac{1}{4p}\). We can cross-multiply to get the equation \(4p=8\). Dividing by 4 on both sides, we get \(p=2\). Now we can find the focus and directrix.

The focus is located at \((-1, [-4+2])\) or \((-1,-2)\) and the directrix is represented by the equation \(y=(-4-2)\) or \(y=-6\).

Hopefully this answered your question this time, and with this, I hope you are able to solve it without help the next time

Answer:

This is a function

Step-by-step explanation:

It's a function because those x's that repeat has the same y's meaning that this is a function.

Answer:

yes (i think)

Step-by-step explanation:

none of the x values are shared by different multiple y values, so yes it is a function.

Answer:

10 burritos

Step-by-step explanation:

Answer:

So 12 of 15 free throws is 80% so she would have to make at least 13 of 15 free throws to at least get over 85% cause 13 of 15 is 86.6% repeated

Step-by-step explanation:

Answer: The surface area of the planter will be 120.5 square feet.

Step-by-step explanation:  in our shape, we will have 5 sides. The base and the four sides going up from each edge of the base.

The base will be 7 x 5 = 35 square feet.

The front and back side will each be 7 x 0.75 = 5.25 square feet.

The left and right side will each be 5 x 0.75 = 3.75 square feet.

If we add up the 5 faces we get:

35 + 5.25 + 5.25 + 3.75 + 3.75 = 120.5 square feet

Answer:

Evan purchased 7 frozen dinners and 9 cans of soup.

Step-by-step explanation:

Since Evan went to the grocery store and purchased cans of soup and frozen dinners, and each can of soup has 150 mg of sodium and each frozen dinner has 550 mg of sodium, and Evan purchased a total of 16 cans of soup and frozen dinners which collectively contain 5200 mg of sodium, to determine the number of cans of soup purchased and the number of frozen dinners purchased the following calculation must be performed:

16 x 550 + 0 x 150 = 8800

8800 - 5200 = 3600

550 - 150 = 400

3600/400 = 9

7 x 550 + 9 x 150 = X

5200 = X

Therefore, Evan purchased 7 frozen dinners and 9 cans of soup.

The size of the quarterly deposits in Shelby's RRSP account was approximately $147.40.

Let's denote the size of the quarterly deposits as \(D\). The total number of deposits made over 9 years is \(9 \times 4 = 36\) since there are 4 quarters in a year. The interest rate per period is \(r = \frac{3.50}{100 \times 12} = 0.0029167\) (3.50% annual rate compounded monthly).

Using the formula for the future value of an ordinary annuity, we can calculate the accumulated value of the RRSP fund:

\[55,000 = D \times \left(\frac{{(1 + r)^{36} - 1}}{r}\right)\]

Simplifying the equation and solving for \(D\), we find:

\[D = \frac{55,000 \times r}{(1 + r)^{36} - 1}\]

Substituting the values into the formula, we get:

\[D = \frac{55,000 \times 0.0029167}{(1 + 0.0029167)^{36} - 1} \approx 147.40\]

Therefore, the size of the quarterly deposits, rounded to the nearest cent, is approximately $147.40.

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The solution for  f (8). f(x) = g(x)h(x) g(8)= -2 and g'(8) = 9 h(8)= -5 and h'(8) = -4 f'(8) is   derived to be  f'(8) = -37. We can  find f'(8), and  need to use the product rule of differentiation in   to get a perfect answer to the problem.

Given:

when g(8) = -2

and g'(8) = 9

also h(8) = -5

and h'(8) = -4

we get the following with -2,-3,-4,-5 being the answers for the given terms we can identify the answer through the formula. To calculate the problem is the product rule.

by elaborating the given values we can find the correct answer for the given question.

f'(8) = g'(8)h(8) + g(8)h'(8)

      = 9*(-5) + (-2)*(-4)

      = -45 + 8

      = -37

So the final solution for the problem is derived to be  f'(8) = -37.

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Answer:

7)  x=u/10

8) a = - u/12

9) a = U/3 - 2/3

10) z = 0

11) a= n- p + m

12) x = gc/ y

13) a= w/k + v/k

14)x= pn/ m

Step-by-step explanation:

there... hope this helps!! also can i get brainliest? plz and thank you!!

Answer:

it's a

Step-by-step explanation:

we subtract 9 from the 30 in the other side. that makes 21

3x ≤ 21

x≤7

that means any answer possible is below 7.

Based on the given algorithm, we can analyze the recurrence relation for the running time of the algorithm on inputs of arrays of n elements.

Let's denote the running time of the algorithm for an input of size n as t(n).

For n = 1, the algorithm computes f(g) for a single entry in the array, which costs a constant time, let's say C1. Therefore, we have:

t (1) = C1

For larger values of n, the algorithm splits the array into two subarrays of size 2n/3 each and runs recursively on each subarray. This step incurs a running time of t(2n/3) for each subarray.

Additionally, the algorithm performs the computation g(x, y) on the resulting ordered set of two integers, which costs a constant time, let's say C2.

Considering these factors, we can write the recurrence relation for the running time as:

t(n) = 2t(2n/3) + C2

Therefore, the correct option among the given recurrence relations that seems to fit the running time of the algorithm is:

c. t(1) = C, and t(n) = 2t(2n/3) + C2, for some positive constants C, C2

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Answer: R

Step-by-step explanation: you are gonna go left 3 and up 4.

x=-3 and y=4

Answer:

Ok! Thx!! (btw there is no question)

Answer:

Thx!! but there's no question!!!

The unit measures in order from smallest to largest are as follows: grams, ounces, pounds, kilograms.

The gram is the smallest unit of measurement, followed by the ounce, pound, and kilogram. One gram is equal to 0.035 ounces, while one kilogram is equal to 2.205 pounds. Understanding the relationships between these units can be helpful for converting measurements between them, which is often necessary in fields such as science and cooking.

Pounds and kilograms are both measures of weight or mass, with kilograms being the larger unit. One kilogram is equal to approximately 2.2 pounds.

Ounces and grams are also measures of weight or mass, but are smaller units. One ounce is equal to approximately 28.35 grams.

So if you were to list these units in order from smallest to largest, it would be: grams, ounces, pounds, kilograms.

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Step-by-step explanation:

did you leave something out ?

(5p + 3)(p + 1) = 5p×p + 5p×1 + 3×p + 3×1 =

= 5p² + 5p + 3p + 3 = 5p² + 8p + 3

at no point do we have 5 terms to sum up. but 4 and then finally 3, yes.

but we always have also additions, not only multiplications (products).

so, none of the 2 options is correct.

we could, of course. start with the initial expression, that shows the product of 2 factors and multiply by 1×1

(5p + 3)(p + 1)×1×1

then we have the expression as product of 4 factors.

in the same way we could bump up the sum scenario by adding one or 2 0s : tadah ! sum of 5 terms.

I strongly suspect there is something missing in the problem description.

Answer:

Neither is correct.

Step-by-step explanation:

Answer:

thats not easy

Step-by-step explanation:

Answer:

-17 and -1

Step-by-step explanation:

Answer:

d - 2

Step-by-step explanation:

saying it out loud helps :)

An estimate for the total volume of food and water you've ingested in the last day is 3000-5000 milliliters. On average, the heart pumps about 5 liters of blood per minute. 10-20% or more error I'm expecting. Calculating heart blood volume compared to food and drink consumption is crucial for understanding circulation and liver function.

D.1 Estimating the amount of food and water consumed in a day can be difficult without specific measurements, but a rough estimate can be made based on typical intake amounts. On average, a person may consume 2-3 liters of water and 1000-2000 calories per day, resulting in an estimated total volume of 3000-5000 milliliters.

D.2 The amount of blood pumped by the heart varies from person to person and depends on factors such as heart rate and overall health. On average, the heart pumps about 5 liters of blood per minute, which is much larger than the estimated volume of food and water intake.

D.3 Estimating food and water intake and blood flow is prone to error due to variability and uncertainties in personal measurements. Individuals' habits, health, and physical activity levels can affect these estimates, potentially resulting in a significant error of 10-20% or more.

D.4 The calculation of the heart's blood volume compared to food and drink consumption is crucial for understanding the circulation system and liver role.

The liver processes nutrients, detoxifies, and produces blood components, while the heart is responsible for circulating blood throughout the body. The vast difference in volume between the two is emphasized, emphasizing the heart's crucial role in maintaining circulation.

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