Can you simplify i47 as much as possible

From the problem, we have :

We need to think of a square number that if we multiply it by 9, the result is 64.

That would be 64/9

The square root of 64/9 is 8/3.

Let u = 3x/8

8u = 3x

x = 8u/3 (This value is the same as we've got above 8/3)

du = 3/8 dx

dx = 8/3 du

Subsitute x = 8u/3 and dx = 8/3 du

Extract the square root of 64 which is equal to 8.

Note that the identity :

It follows that :

Bring back u = 3x/8, the answer is :

Answer:

1.504 x 10^4

Step-by-step explanation:

The domain of the function is `R` and the y-intercept is `(0, -3)`

Given, `y = log4(2x + 1) - 3`.

To determine the domain of the function,

we should look for all values of `x` that would make the given function undefined.

There are no real values of `x` that would make the function undefined.

Therefore, the domain of the function is all real numbers or `R`.

To determine the y-intercept, substitute `x = 0` in the given function.`

y = log4(2(0) + 1) - 3 = log4(1) - 3 = 0 - 3 = -3`

Therefore, the y-intercept of the function is `(0, -3)`.

Hence, the domain of the function is `R` and the y-intercept is `(0, -3)`.

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Answer:

285 Words

Step-by-step explanation:

If in 1 minute he can type 30 words , then in 9.5 min he can type  30 x 9.5 = 285.0 = 285

So, Nick can type 285 words in 9.5 minutes.

Hope this Helps!

Answer:

D

Step-by-step explanation:

(x - 3)(x + 4) = x^2 + x - 12

Answer:

See explanation

Step-by-step explanation:

y = k * (3x - 5)

Where,

k = constant of proportionality

y = 33 when x = 5

y = k * (3x - 5)

33 = k * (3 * 5 - 5)

33 = k * (15 - 5)

33 = 15k - 5k

33 = 10k

k = 33/10

k = 3.3

a) y when x = 2

y = k * (3x - 5)

y = 3.3(3 * 2 - 5)

= 3.3(6 - 5)

= 3.3(1)

y = 3.3

b) x when y = 15​

y = k * (3x - 5)

15 = 3.3(3x - 5)

15 = 9.9x - 16.5

15 + 16.5 = 9.9x

31.5 = 9.9x

x = 31.5/9.9

x = 3.18

Answer:108 inches

Step-by-step explanation:

to find the area of one of the right triangles you do.

base = 6/2 =3

3x6=18

18/2=9

there are 8 right triangles so you would do

9x8 = 72.

then you would add 72 and the area of the square in the middle

6x6=36

36+72= 108

so Area of SA = 108 inches ^2

Answer:

Points B and C

Step-by-step explanation:

Based on the information provided I have made a visual representation of the number line in the attached picture. Each of these points has a numerical value associated with it. Which would be the following ...

Therefore based on the numerical value of these points the two that are opposites are point B and C. They both have a value of 0.5 on each end of the number line, one being negative while the other is a positive, thus opposites.

Answer:

Sample Response: Change the improper fraction to the mixed number 21

2

. There are two complete wholes and a half left over. Plot 21

2

on the number line halfway between 2 and 3, or Point D.

Step-by-step explanation:

Answer:

factor out the co-efficient of x^2 (x squared) from all the x terms, which is 6.

Step-by-step explanation:

f(x) = 6(x-h)^2 + k

h = -42/2(6) = -7/2

then plot h in as y to find k

Answer:

Move right 6 units and up 4 units

Step-by-step explanation:

Quadratic Equation: f(x) = a(bx - h)² + k

a = vertical stretch/shrink

b = horizontal stretch/shrink

h = horizontal movement left/right

k = vertical movement up/down

Answer:

maybe 129Step-by-step explanation:

To find the area of a parallelogram, we use the formula:

Area = base x height

In this case, the base is X = 5 units and the height is h = 10 units. So we can plug these values into the formula:

Area = 5 units x 10 units

Area = 50 square units

Therefore, the area of the parallelogram shown above is 50 square units.

the parallelogram with X = 5 units, Y = 12 units, and h = 10 units, you can use the formula: Area = base * height.

In this case, the base is Y = 12 units, and the height is h = 10 units.


1. Identify the base (Y) and height (h) of the parallelogram.
2. Use the formula: Area = base * height.
3. Plug in the values: Area = 12 units * 10 units.

The area of the parallelogram is 120 square units.

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Answer:

x=150

Step-by-step explanation:

i think this is it sorry if not

Answer:

y = -2, y = -5, x = 20, x = -12

Step-by-step explanation:

When dealing with unknown y values, rearrange the equation so that y is isolated:

y + 5 = x/4 >>> subtract 5 from both sides >>> y = x/4 - 5

Now, substitute in your values for y in the table:

12/4 - 5 = -2

0/4 - 5 = -5

Now, to deal with unknown y values, rearrange so that y is instead isolated:

y + 5 = x/4 >>> multiply both sides by 4 >>> 4y + 20 = x

Substitute!

4(0) + 20 = 20

4(-8) + 20 = -12

Answer:

The answer is c. 81.76%

Answer:

It is C

Step-by-step explanation: The explanation says that he subtracted 10 by 20 and divided by 5 so the real answer is 18 but the answer in your page is C

Your Welcome :)

Answer:

idt this is right..... sorry if this is wrong...

Step-by-step explanation:

I = $ 8,000.00

Equation:

I = Prt

Calculation:

First, converting R percent to r a decimal

r = R/100 = 200%/100 = 2 per year,

then, solving our equation

I = 1000 × 2 × 4 = 8000

I = $ 8,000.00

The simple interest accumulated

on a principal of $ 1,000.00

at a rate of 200% per year

for 4 years is $ 8,000.00.

Answer:

Hose B

Step-by-step explanation:

Charles needs to fill a large fish tank with water using a hose. he has two hoses from which to choose. Water flows through each hose at a constant rate. The graph below shows the amount of water, in gallons , that flows through holes A based on the number of minutes used. A total of 110 gallons of water can flow through Hose B in 10 minutes. Which hose has a faster water rate, in gallons per minute, and what is that rate?

Solution:

The equation of a linear function is:

y = mx + b

where m is the rate of change and b is the initial value of y.

The equation of a line passing through two points \((x_1,y_1)\ and\ (x_2,y_2)\) is given by:

\(y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\)

Let y represent the amount of water in gallons and let x represent the time in minutes.

For hose A, we can see that the graph passes through the point (0, 0) and (2, 12). Hence:

\(y-0=\frac{12-0}{2-0}(x-0) \\\\y=6x\)

Therefore hose A has a flow rate of 6 gallons per minute.

110 gallons of water flow through hose B in 10 minutes. Therefore:

Flow rate of hose B = 110 gallons / 10 minutes = 11 gallons per minute

Therefore hose B has a higher flow rate

James will fully clear the loan after approximately 12 years when the remaining balance reaches zero.

To determine the number of years it will take for James to fully clear the loan, we need to calculate the remaining balance after each payment and divide the initial loan amount by the annual payment until the remaining balance reaches zero.

The loan amount is 9000 euros, and James pays off 770 euros each year. Since the interest is charged at a rate of 3% of the original amount per annum, the interest for each year will be \(0.03 \times 9000 = 270\) euros.

In the first year, James pays off 770 euros, and the interest on the remaining balance of 9000 - 770 = 8230 euros is \(8230 \times 0.03 = 246.9\)euros. Therefore, the remaining balance after the first year is 8230 + 246.9 = 8476.9 euros.

In the second year, James again pays off 770 euros, and the interest on the remaining balance of 8476.9 - 770 = 7706.9 euros is \(7706.9 \times 0.03 = 231.21\) euros. The remaining balance after the second year is 7706.9 + 231.21 = 7938.11 euros.

This process continues until the remaining balance reaches zero. We can set up the equation \((9000 - x) + 0.03 \times (9000 - x) = x\), where x represents the remaining balance.

Simplifying the equation, we get 9000 - x + 270 - 0.03x = x.

Combining like terms, we have 9000 + 270 = 1.04x.

Solving for x, we find x = 9270 / 1.04 = 8913.46 euros.

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If the a has 15 boys and 20 girls, then the boy to girls ratio in simplest form is 3 : 4

Number of boys in the class = 15 boys

Number of girls in the class = 20 girls

The ratio can be defined as the a number that can be used to express one quantity as a fraction of the other ones. That means we are comparing them by dividing those numbers

Here the ratio will be

Number of boys in the class : Number of girls in the class

Substitute the values in the ratio

= 15 : 20

Divide both numbers by 5

= (15/5) : (20/5)

= 3 : 4

Hence, if the a has 15 boys and 20 girls, then the boy to girls ratio in simplest form is 3 : 4

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Answer:

h(-4) = 32.8

h(0) = 12

h(3.5) = -6.2

Step-by-step explanation:

The negation of the statement "y ≤ -6" without using a slash symbol is "y > -6".

Negation is a logical operation that involves the denial or opposite of a proposition or statement. In other words, it is the process of expressing the opposite or contrary of a particular idea, concept, or statement.

To negate the statement "y ≤ -6" without using a slash symbol, we can use the opposite inequality, which is "y > -6". This means that y is greater than -6, which is the opposite of being less than or equal to -6.

In other words, if y is not less than or equal to -6, then it must be greater than -6. This makes sense because any number that is greater than -6 would not satisfy the condition of being less than or equal to -6. Therefore, "y > -6" is the negation of "y ≤ -6" without using a slash symbol.

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Thinking:

Wait so like quadrants as in coordinate planes? If so, all the names of the quadrants are 1,2,3,4.

the answer is 20 hope it helped :)

For the simple harmonic motion equation d=2 sin(pi/3t), the period is 6 seconds.

The period of a simple harmonic motion is the time taken for one complete cycle of the motion. In this equation, d represents the displacement or position of the object at time t. The equation is in the form of sin function with the argument (pi/3)t. The general form of the equation for simple harmonic motion is d=A sin(ωt+φ), where A is the amplitude, ω is the angular frequency, and φ is the phase angle. To determine the period of this motion, we can use the formula T=2π/ω, where T is the period and ω is the angular frequency. In this case, ω=pi/3, so the period is T=2π/(pi/3)=6 seconds (rounded to the nearest second). Therefore, the object completes one full cycle of motion every 6 seconds.

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The total number of groups in the study of one way ANOVA with the given condition of variable and levels is four different groups and number of different factors in one-way ANOVA is equal to one.

In a one-way ANOVA with one independent variable with four levels, there are four different groups in the study.

Each group represents a level of the independent variable.

There is only one factor in a one-way ANOVA.

The factor is the independent variable with the four levels, which is used to classify the groups in the study.

The factor is what the researcher is interested in studying.

And the ANOVA is used to determine if there are any statistically significant differences in the mean scores between the groups.

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The corresponding angles and sides of the two triangles need to be given in order to prove congruence by side-angle-side.

In order to prove congruence by side-angle-side, the corresponding angles and sides of the two triangles must be given. The sides must be proportional, which means that two sides of one triangle must be equal to two sides of the other triangle, and the angles between these two sides must also be equal. In other words, if two sides of one triangle are equal to two sides of the other triangle, and the angle between those two sides is also equal, then the two triangles are congruent. This can be expressed as “If two sides and the included angle of one triangle are equal to the corresponding sides and angle of a second triangle, then the two triangles are congruent.” In order to prove congruence by side-angle-side, all of the corresponding sides and angles must be given in order to show that they are equal.

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The additional information that is needed to prove the triangles are congruent by Side-Angle -Side us that the corresponding angles and sides of the two triangles need to be given .

What is Side-Angle-Side Congruence ?

The Two Triangles can be called as  Congruent by Side-Angle-Side rule  if any 2 sides and angle included between sides of one triangle is equivalent to corresponding 2 sides and angle between sides of second triangle .

In order to prove the Congruence by Side-Angle-Side, the corresponding angles and the sides of the 2 triangles must be given.

The sides must also be in proportional, that means that the two sides of one triangle must be equal to two sides of other triangle, and

the angles between these two sides of the triangle must  be equal.

So , In order to prove a triangle congruent by Side-Angle-Side, all of the corresponding sides and angles must be given in order to prove  that they are equal.

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Your total vacation budget would be $280, considering the $160 spent on groceries and the estimated cost of eating out 3 times at $40 per meal from linear equation concept.

For your vacation at the beach, you have already spent $160 on groceries for the week. In addition, you anticipate spending $40 each time you eat out.

To determine your overall budget for the vacation, you need to consider how many times you plan to eat out during the week. Let's say you plan to eat out 'x' number of times.

Since each time you eat out costs $40, the total amount spent on eating out can be represented by the equation:

Total spent on eating out = $40 * x

Adding this to the amount spent on groceries, the total vacation budget can be calculated as:

Total budget = Amount spent on groceries + Total spent on eating out

Total budget = $160 + ($40 * x)

For example, if you plan to eat out 3 times during the week, the calculation would be:

Total budget = $160 + ($40 * 3)

Total budget = $160 + $120

Total budget = $280

In this case, your total vacation budget would be $280, considering the $160 spent on groceries and the estimated cost of eating out 3 times at $40 per meal.

The total budget will vary depending on the number of times you plan to eat out. By adjusting the value of 'x', you can calculate the specific total budget for your vacation.

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Answer:

$800 in interest

Step-by-step explanation:

T = A(1 + rt)

T = 2,000(1 + .05(8))

T = 2,000(1.4)

T = 2800

2800 - 2000 = 800