The base figure is rectangle with area= lxw which is multiplied by the height to get the volume of figure

Answer:

Step-by-step explanation:

Let first odd number = a, second odd number = a +2, third odd number = a + 4

a + a + 2 + a + 4 = 987

3a + 6 = 987

3a = 981

a = 327

First odd number = a = 327

Second odd number = a + 2 = 329

Third odd number = a + 4 = 331

Answer:2.5,21,166,1132

Step-by-step explanation:

The equation of a rational function that has been translated left 2 units and shifted up 1 unit is; f(x) = (a(x - 2) + b + 1) / (c(x - 2) + d)

A relation is defined as a function in the event that it possesses only One y-value with a corresponding x-value.

A general form of how a rational function is represented is:

f(x) = (ax + b) / (cx + d)

To translate this function left 2 units, we need to replace x with x + 2. This gives us:

f(x + 2) = (a(x + 2) + b) / (c(x + 2) + d)

To shift this function up 1 unit, we need to add 1 to the numerator. This gives us:

f(x + 2) = (a(x + 2) + b + 1) / (c(x + 2) + d)

Therefore, the equation of a rational function that has been translated left 2 units and shifted up 1 unit is: f(x) = (a(x - 2) + b + 1) / (c(x - 2) + d)

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MExact Form:

x

=

±

√

39

+

5

Decimal Form:

x

=

11.24499799

…

,

−

1.24499799

…

Answer:

\(log_4(\frac{1}{64})=-3\)

Step-by-step explanation:

\(log_b(b^x)=x\)

    Looking at the equation given, we know the base (the number with the exponent) is 4, the exponent itself is -3, and the value is 1/64. Based on this information, fill in the formula and simplify any values.

\(log_4(4^{-3})=-3\\log_4(\frac{1}{64})=-3\)

Therefore, the logarithmic form is \(log_4(\frac{1}{64})=-3\).

Answer:

\(C = 2\pi r\\\)

Step-by-step explanation:

\(Circumference = 2\times \pi \times r\)

The area of the square is given by the  quadratic expression:

\(A = 9x^2 - 6xy + y^2\)

If we have a square whose side measures S, the area of said square is given by the equation:

\(A = S^2\)

In this case, we know that the side length of our square is given by:

\(S = 3x - y\)

Replacing that in the area equation we get:

\(A = (3x - y)^2\)

Now we just need to expand that product, we will get:

\(A = (3x - y)^2 = (3x)*(3x) + (3x)*(-y) + (-y)*(3x) + (-y)*(-y) \\\\A = 9x^2 - 6xy + y^2\)

Then we can see that the correct option is the last one.

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Answer: i think c

Step-by-step explanation:

The minimum amount of plastic wrap needed to completely wrap 8 containers is  794. 4 in². Option D

The area of each circular end is:

A = πr²

A = 3.14 × (2.75)²

A = 23.68in²

The area of the rectangular side is:

A = h * circumference

circumference = 5.5in * π

circumference = 17.27in

Using the given height of 3 inches, we get:

A = 3in * 17.27

A = 51.81in²

Therefore, the total surface area of each container is:

A = 2 * 23.68 + 51.81

A = 98.17in²

To wrap 8 containers, we need to multiply the surface area of each container by 8:

Total surface area = 8 × 98.17

Total surface area = 794. 4 in²

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Answer:

1. 1/7 x 7/1= 1

2. 5/9 x 9/5= 1

3. 23/11 x 11/23= 1

4.  13/61 x 61/13= 1

5. 8/9 x 9/8= 1

Explanation:

when finding the reciprocal of a fraction, the numerator becomes the denominator, and the denominator becomes the numerator. keep in mind that when you multiply a fraction by its reciprocal, it will always equal 1.

Answer:

The commission rate is 15%

Step-by-step explanation:

commission = commission rate x sales

where the commission rate is expressed as a decimal.

In this case, the salesperson earned a commission of $345 for selling $2,300 in merchandise. Therefore, we have:

345 = commission rate x 2300

To solve for the commission rate, we can divide both sides by 2300:

commission rate = 345/2300

Simplifying this expression, we get:

commission rate = 0.15

So, the commission rate is 15%

Answer:

the answer is E the number at the top tells you which position it falls under in the alphabet

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Step-by-step explanation:

No, the ratio in a 30-60-90 triangle is

::

\(1:1:\sqrt{2} \)

not

1:1:2

Answer:

answer is J because if we lay out the information we will understand it

The system of equations represents the charge for tickets for this condition is given by: Option J: 3x + 4y= 235, 4x + 5y = 305

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

We're specified that:

Total charge for 3 adults and 4 children = Ticket price for 3 adults + Ticket price for 4 children= \(x + x + x + y + y + y + y = 3x + 4y = 235\) (in dollars)

(We don't write symbols like of currency generally, and understand it from context. Also, sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)

Similarly, we get:

Total charge for 4 adults and 5 children = Ticket price for 5 adults + Ticket price for 5 children= \(x + x + x + x + y + y + y + y + y = 4x + 5y = 305\) (in dollars)

Thus, we got a system of equations in x and y as:

\(3x + 4y= 235\\4x + 5y = 305\) (Option J)

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\(m=\frac{y_2-y_1}{x_2-x_1}\\ =\frac{-1-19}{-5-5} \\=\frac{-20}{-10} =2\\y-y_{1} =m(x-x_1)\\\\m=2\\(x_1, y_1)=(5, 19)\\y - 19 = 2(x - 5)\\y = 2x+9\)

A function assigns the values. The number of people that were recruited in year 6 is 192.

A function assigns the value of each element of one set to the other specific element of another set.

Given that the number of people per year is represented by the function \(f(t)=3(2)^t\).

In the given function, t represents the number of years.

Now, the number of people that were recruited in year 6 can be calculated by putting the value of t as 6 in the given function,

\(f(t)=3(2)^t\)

f(6) = 3(2)⁶

     = 3(64)

     = 192

Hence, the number of people that were recruited in year 6 is 192.

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Answer:

The answer is t represents the year number; 192 people were recruited in year 6

Step-by-step explanation:

The baker can only make peanut butter cookies and cannot make any chocolate chip cookies with the given amount of ingredients.

Let's denote the number of batches of peanut butter cookies as "x" and the number of batches of chocolate chip cookies as "y."

From the given information, we can set up the following system of equations:

For the flour:

2x + 3y = 26

For the butter:

34x + y = 9

To solve this system of equations, we can use the substitution method or the elimination method. Let's use the elimination method:

Multiply the first equation by 17 (to make the coefficients of x in both equations the same):

34x + 51y = 442

Now we have the system of equations:

34x + y = 9

34x + 51y = 442

Subtract the first equation from the second equation:

34x + 51y - (34x + y) = 442 - 9

50y = 433

Divide both sides by 50:

y = 433/50

Since the number of batches of cookies cannot be fractional, we need to find a whole number solution for y. However, in this case, y is a fraction, indicating that the given amount of butter is not sufficient to make even one batch of chocolate chip cookies.

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The Least common multiple (LCM)  The time at which both bells will ring together is 10:45 am, and the Subsequent times will be 11:30 am, 12:15 pm, 1:00 pm, and so on, with an interval of 45 minutes between each occurrence.

The time at which both bells will ring together, we need to find the least common multiple (LCM) of the intervals at which each bell rings.

The first bell rings every 45 minutes, and the second bell rings every minute. We want to find the point at which both intervals align, meaning they both divide evenly into the same amount of time.

To find the LCM, we can list the multiples of each interval until we find a common multiple.

Multiples of 45 minutes: 45, 90, 135, 180, 225, 270, 315, 360, 405, ...

Multiples of 1 minute: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, ...

From the lists above, we can observe that the least common multiple occurs when both intervals coincide at the same time, which is 45 minutes.

Thus, the two bells will ring together every 45 minutes.

If we consider the initial adjustment time of 10:00 am, the first time both bells will ring together is at 10:45 am. After that, they will continue to ring together every 45 minutes throughout the day.

Therefore, the time at which both bells will ring together is 10:45 am, and the subsequent times will be 11:30 am, 12:15 pm, 1:00 pm, and so on, with an interval of 45 minutes between each occurrence.

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Answer:  Check this answer!

Step-by-step explanation:

                                                   The comparison of two independent population means is very common and provides a way to test the hypothesis that the two groups differ from each other. Is the night shift less productive than the day shift, are the rates of return from fixed asset investments different from those from common stock investments, and so on? An observed difference between two sample means depends on both the means and the sample standard deviations. Very different means can occur by chance if there is great variation among the individual samples. The test statistic will have to account for this fact. The test comparing two independent population means with unknown and possibly unequal population standard deviations is called the Aspin-Welch t-test.

In simple terms, The population standard deviation is a parameter, which is a fixed value calculated from every individual in the population. A sample standard deviation is a statistic. This means that it is calculated from only some of the individuals in a population. Since the sample standard deviation depends upon the sample, it has greater variability. Thus the standard deviation of the sample is greater than that of the population

Because: reason:

                                   Since the sample standard deviation depends upon the sample, it has greater variability. Thus the standard deviation of the sample is greater than that of the population.

HOPE IT HELPS YOU, IF IT HELPS PLEASE MARK THE BRAINLIEST BECOZ IT TOOK ME QUITE WHILE TO WRITE TO YOU...

Answer:

-3/5

Step-by-step explanation:

You move down 3 from the top point.

Then you move right to the bottom point.

Answer:

D?

Step-by-step explanation:

I'm not completely sure, but there are 2 different 180 degree lines that y falls on. On one line (y+70=180) it is for sure 110 degrees

When measured on the other line it is (y+70+x=180) I'm not too familiar with this??

the standard form equation that equals the combination of the two given equations is 4x+5=-4 and y-3=2

How do you solve for standard form?

The standard form of a linear equation is Ax+By=C. To change an equation written in slope-intercept form (y=mx+b) to standard form, you must get the x and y on the same side of the equal sign and the constant on the other side. Use inverse operations to move terms.

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The dimensions of the circles are as follows

1. Chord AB = 9

2. Chord FG = 6

3. Chord KM = 8

4. Arc length XY = 105 degrees

5. Arc length TU = 85 degrees

6. Arc length TU = 130 degrees

7. QS is the diameter because it bisects the chord and perpendicular to the chord

8. QS is not a diameter because it does not bisect the chord

9. QS is not a diameter because it is not perpendicular the chord

Chords with matching measurements share congruence due to being equidistant from the circle's center.

Congruent radii stem from each chord midpoint, indicating two equivalent right triangles are created; therefore, their respective intercepted arcs also equal in degree measurement.

Therefore, if two chords possess uniform lengths, they will intercept equal degrees along the circle.

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According to the biologist's estimates, there will be 9.25 million ladybugs in the region after the swarm arrives.

To find the total population of ladybugs in the region after the swarm arrives, we need to add the number of ladybugs in the region before the swarm arrives to the number of ladybugs in the swarm:

Total ladybugs = 8.3 x 10⁶ + 950,000

Total ladybugs = 8,300,000 + 950,000

Total ladybugs = 9,250,000

Therefore, according to the biologist's estimates, there will be 9.25 million ladybugs in the region after the swarm arrives.

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Kiet will make his another observation at every multiples of 6 until it reaches at 60 which is at 2 : 00 pm.

Given that,

Kiet needs to observe a science experiment every 6 minutes for one hour.

He makes his first observation at 1:00 p.m.

Now he needs to make the observation every 6 minutes.

This means that his second observation will be at 1:06 pm.

Third observation will be at 1:12 pm.

Fourth will be at 1:18 pm.

It goes on like this for every multiples of 6.

His last observation will be at 2:00 pm which is at the 60th minute after 1.

Hence Kiet will make his observations at every multiples of 6 until it reaches 60.

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Answer:

Step-by-step explanation:

32 60 68

Answer: x = 3

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

Explanation:

T is the midpoint of SU, so point T cuts segment SU into two equal halves. Those two halves being ST and TU, therefore, ST = TU

ST = TU

8x+11 = 12x-1 ... substitution

8x+11-8x = 12x-1-8x ... subtract 8x from both sides

11 = 4x-1

11+1 = 4x-1+1 .... add 1 to both sides

12 = 4x

4x = 12

4x/4 = 12/4 .... divide both sides by 4

x = 3

As a check, plug x = 3 into each equation below

ST = 8x+11 = 8*3+11 = 24+11 = 35

TU = 12x-1 = 12*3-1 = 36-1 = 35

Each piece ST and TU is 35 units long. So this confirms we have the right answer.