(algebra 1) please helppp i’ll mark brainliest to whoever gets it right

Answer:

Abiola stayed at work for 8 hours and 40 minutes.

Step-by-step explanation:

Abiola wasted 20 minutes waiting for her friend, so she actually left for work at 7:50 am (7:30 am + 20 minutes).

She arrived at work at 8:20 am, so she spent 30 minutes (8:20 am - 7:50 am) traveling to work.

Abiola worked from 8:20 am to 4:00 pm, which is a total of 7 hours and 40 minutes (4:00 pm - 8:20 am).

She then stayed at work for an additional 1 hour to watch African Magic, so in total, she was at work for 8 hours and 40 minutes (7 hours and 40 minutes of work + 1 hour of watching African Magic).

Therefore, Abiola stayed at work for 8 hours and 40 minutes.

Check the picture below.

Therefore, the transfer function of the system is:

G(s) = Y(s) / U(s) = U(s) / (s^3 + 0.25s + 1.25)

In summary, the differential equation depicting the dynamics of a fourth Single-Input-Single-Output (SISO) system is y'''(t) + 0.25y'(t) + 1.25y(t) = u^2(t), and the transfer function of the system is G(s) = U(s) / (s^3 + 0.25s + 1.25).

The differential equation describing the dynamics of a single-input-single-output (SISO) system is given by ddy(t) + ay'(t) + by(t) = cdu(t), where y(t) is the output of the system, u(t) is the input of the system, and d, a, b, and c are constant coefficients representing the system dynamics.

For the given differential equation, which is the dynamics of four Single-Input-Single-Output (SISO) systems, we have:

\(y(t) + ay'(t) + by''(t) + cy'''(t) = u(t)\)
Here, we have the third-order differential equatior : \(y'''(t) + 0.25y'(t) + 1.25y(t) = u^2(t)\)

The given equation is a third-order, linear, time-invariant (LTI) differential equation. In control theory, a differential equation that relates the input u(t) to the output y(t) of a system is known as the transfer function.

The transfer function of the given system can be found by applying the Laplace transform to the differential equation:

s^3Y(s) + 0.25sY(s) + 1.25Y(s) = U^2(s)

where Y(s) and U(s) are the Laplace transforms of y(t) and u(t), respectively.

Solving for Y(s), we get:

Y(s) = U^2(s) / (s^3 + 0.25s + 1.25)

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The statement that represents the expression 4 x (3 + 2) - 6 is:

"Four times the sum of three and two, minus six."

To write a statement for an expression, you need to describe the expression using words in a clear and concise manner. The statement should convey what the expression means or represents. Here are the steps to follow:

Identify the expression you want to represent with a statement.

Read the expression carefully and determine what mathematical operations are being performed, such as addition, subtraction, multiplication, or division.

Write out the operations in words, such as "add," "subtract," "multiply," or "divide."

Identify any constants or variables in the expression and describe them in words. For example, if the expression is 2x + 5, you would say "two times a number plus five."

Use parentheses to clarify the order of operations. For example, if the expression is 4 x (3 + 2) - 6, you would say "four times the sum of three and two, minus six."

Proofread your statement to make sure it accurately represents the original expression and is clear and concise.

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Answer:

\(\frac{-x^{2}+5x-1}{2x^{2} -x-1}\)

Step-by-step explanation:

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2500\\ r=rate\to 2.4\%\to \frac{2.4}{100}\dotfill &0.024\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\end{cases} \\\\\\ A=2500\left(1+\frac{0.024}{1}\right)^{1\cdot t} \implies A=2500(1.024)^t~\hfill b=2500(1.024)^t\)

idont knowwwwwwwwww it

Answer:

y=6/5x -2

Step-by-step explanation:

Answer:

B. v < - ⅙

Step-by-step explanation:

v + ⅚ < ⅔

v < ⅔ - ⅚

v < 4/6 - ⅚

v < - ⅙ (option B.)

Hope it helps ⚜

\(v + \frac{5}{6} < \frac{2}{3} \)

\(v + \frac{5}{6} < \frac{2}{3} \)

\(v < \frac{2}{3} - \frac{5}{6} \)

\(v < \frac{4}{6} - \frac{5}{6} \)

\(v < - \frac{1}{6} \)

therefore, the correct answer is option B.

The linear function rule that describes the points in the table is \(y = 4x\).

To find the linear function rule that describes the points in the table, we need to observe the relationship between the x and y values. Looking at the given table, we can see that the y values are always 4 times the corresponding x values. This suggests that the linear function rule can be written as:

\(\[y = 4x\]\)

where \(x\) represents the input values and \(y\) represents the output values.

By substituting the given x values (1, 2, and 3) into the function rule, we can verify that the corresponding y values (4, 8, and 12) are obtained. This confirms that the linear function rule \(\(y = 4x\)\) accurately describes the relationship between the x and y values in the table.

Therefore, the linear function rule that describes the points in the table is \(\(y = 4x\)\).

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The length of XY is 8.

When a triangle has precisely the same three sides and precisely the same three angles, it is said to be congruent.

Given that, the triangles ΔXYZ and ΔMNL are congruent.

Therefore, XY≅MN.

Since MN = 8, it follows XY =8.

Hence, the length of XY is 8.

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Answer:

15x^2 - 48x + 36

Step-by-step explanation:

You have done the first part correctly. Now, we add all the terms inside the box and add them all together.

15x^2 - 18x - 30x +36

Simplify by adding like terms

15x^2 - 48x +36

Answer: 15x2−48x+36 as simplified!!

Step-by-step explanation: maybe

Answer:

The amount invested in high-yield bonds was $20,000

Step-by-step explanation:

The total amount Dorothy invested = $80,000

The amount that can be earned by investing part of the amount in high-yield bonds = 10% profit

The amount that can be earned by putting the rest of the amount into "old economy" stocks = 12% profit

Dorothy's total profit = $9,200

Let 'x' represent the amount she invested in high-yield bonds, and let 'y' represent the amount she invested in "old economy" stocks, we have;

x + y = 80,000...(1)

0.1·x + 0.12·y = 9,200...(2)

From equation (1), we get;

y = 80,000 - x

Plugging in the above value of 'y' in equation (2), gives;

0.1·x + 0.12·y = 0.1·x + 0.12 × (80,000 - x) = 9,200

0.1·x - 0.12·x + 9,600 = 9,200

-0.02·x = 9,200 - 9,600 = -400

x = -400/(-0.02) = 20,000

x = 20,000

The amount Dorothy invested in high-yield bonds, x = $20,000

(∴ y = 80,000 - x = 80,000 - 20,000 = 60,000

y = 60,000

The amount she invested in old economy stocks, y = $60,000).

The sum of the smallest positive 2-digit, 3-digit, and 4-digit multiples of 8 is 11,120.

To be a multiple of 8, a number must be divisible by 8, which means its last three digits must form a multiple of 8. Also, the first digit of the number cannot be 0, since it must be a two-digit number or larger.

Let's start with the two-digit multiple of 8. The smallest two-digit multiple of 8 is 16, which is not a three-digit or four-digit number. The next multiple of 8 is 24, which is also not a three-digit or four-digit number. The smallest two-digit multiple of 8 that is also a three-digit number is 104 (since 112 is not a multiple of 8).

Similarly, the smallest two-digit multiple of 8 that is also a four-digit number is 1008 (since 992 is not a multiple of 8).

Therefore, the three numbers we are looking for are 104, 1008, and 1008, with a sum of:

104 + 1008 + 10008 = 11120

So the sum of the smallest positive 2-digit, 3-digit, and 4-digit multiples of 8 is 11,120.

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Answer:

68%

Step-by-step explanation:

So we had 34 filets and 16 steaks.

We can add these two together to find the total amount of items sold.

\(34 + 16 = 50\)

So 50 total, but we're dealing with filets which is at 34

A percentage can be found by dividing 50 and 34

\(34\div 50\)

Giving us 0.68, also known as 68%

The height of the can is approximately 6.81 inches when rounded to the nearest tenth.

In this problem, Aiden models a can of ground coffee as a right cylinder with a radius of 3/4 inches and a volume of 12 cubic inches. To find the height of the can, we will use the formula for the volume of a cylinder, which is V = πr^2h, where V is the volume, r is the radius, and h is the height.

We know that the volume V is 12 cubic inches and the radius r is 3/4 inches. Plugging these values into the formula, we get:

12 = π(3/4)^2h

Now, we will solve for h. First, square the radius:

(3/4)^2 = 9/16

Next, substitute this value back into the formula:

12 = π(9/16)h

To isolate h, divide both sides by (9/16)π:

h = 12 / (π(9/16))

Now, simplify the expression:

h ≈ 12 / (9/16)π ≈ (12 * 16) / (9π) ≈ 192 / (9π) ≈ 6.81

Therefore, the height of the can is approximately 6.81 inches when rounded to the nearest tenth.

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The side length of the square = 5 in

If the side length of a square is represented as L

The area of the square is given by the formula:

Area, A = L²

Since the Area is given in the question as:

A = 25 in²

Substitute the value of A into the formula A = L²

25 = L²

Square root both sides:

The side length of the square = 5 in

The pressure is 285 N/m².

From the question, we have

A circular tabletop as a radius of 80 cm. a force of 570 N is applied to with the whole tabletop.

s=πr^2=π×(0.8)^2=2.0/m^2

Pressure (p)=N/s

=570/2

=285 N/m²

The pressure is 285 N/m².

Divide:

Split is to divide into two or more equal sections, places, groupings, or divisions in its most basic form. To divide something simply means to provide it to a group in equal quantities or to cut it up into equal pieces. Let's imagine a diagonal divides a square into two triangles with equal areas. An integer may or may not be the result of a division operation. Sometimes the result will be expressed as decimal numbers.

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Answer:

puedes multiplicar 3 y 243 (you can multiply 3 and 243)

Step-by-step explanation:

espero que esto ayude (hope this helps) :)

hay muchas combinaciones, supongo que se puede elegir sólo una respuesta

1 x 729

3 x 243

9 x 81

27 x 27

81 x 9

Answer:

? is there a question u have?

Step-by-step explanation:

Answer:

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Step-by-step explanation:

Answer:

s=ut +atsq/2

120=4u+4sq

4u=104

u=26m/sec

Answer:

26 m/s

Step-by-step explanation:

Given

\(s = ut + \frac{1}{2} {at}^{2} \)

When a = 2 , s = 120 and t = 4

Then

\(120 = u \times 4 + \frac{1}{2} \times 2 \times {4}^{2} \\ 120 = 4u + 16 \\ 120 - 16 = 4u \\ 104 = 4u \\ u = \frac{104}{4} \\ u \: = 26

Hope it will help :)❤

The tip of the minute hand on a clock travels approximately 26.4 cm in 11 minutes if the minute hand is 23 cm long.

What is Circle?

A circle is a two-dimensional geometric shape that is defined as the set of all points in a plane that are a fixed distance away from a given point, called the center of the circle. This distance is known as the radius of the circle.

A circle can also be defined as the locus of a point that moves in a plane in such a way that its distance from a fixed point is constant. The constant distance is the radius of the circle.

The minute hand on a clock makes a full rotation in 60 minutes, which means it travels the circumference of a circle with a radius of 23 cm in 60 minutes. The formula for the circumference of a circle is C = 2πr, where r is the radius of the circle, and π is a mathematical constant approximately equal to 3.14.

Therefore, the circumference of the circle traced by the tip of the minute hand is:

C = 2πr = 2 × 3.14 × 23 cm ≈ 144.44 cm

To find out how far the minute hand travels in 11 minutes, we need to calculate what fraction of the circumference it covers in that time. Since 11 minutes is about 18.3% of an hour (60 minutes), the minute hand travels 18.3% of the circumference of the circle in that time:

Distance traveled = 0.183 × 144.44 cm ≈ 26.4 cm

Therefore, the tip of the minute hand on a clock travels approximately 26.4 cm in 11 minutes if the minute hand is 23 cm long.

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Answer:

6

Step-by-step explanation:

Square root of 36 is 6

The ratio tells us how often one number is contained in another. In the class, there are six girls for every five boys. D is the right answer.

A ratio is an ordered pair of numbers a and b, expressed as a / b, where b is not equal to 0. A percentage is an equation in which two ratios are made equal to one another. For instance, you could express the ratio as 1: 3 if there is 1 guy and 3 girls (for every one boy there are 3 girls) One-fourth are boys and three-fourths are girls.

The ratio tells us how often one number is contained in another.

Considering that 96 of the 176 junior students are female. Consequently, the class's gender distribution is,

96 girls are present.

80 boys out of 176, or 96 boys.

Currently, the junior class's gender distribution is as follows:

Girls to Boys in Ratio

96 girls and 80 boys.

Divide the numerator and denominator by 16 to simplify.

Boys/Girls: 6 to 5.

Therefore, the answer is option d) 6:5.

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(G) (-9, 12) is the point on the given line.

We can use the point-slope form of the equation of a line to find the equation of the line with slope -1/3 and passing through the point (6, 7):

y - y' = m(x - x'), where m is the slope, and (x', y') is the given point.

Plugging in m = -1/3, x' = 6, and y' = 7, we get:

y - 7 = (-1/3)(x - 6)

Multiplying both sides by -3, we get:

-3y + 21 = x - 6

x + 3y = 27

This is the equation of the line.

To find another point on this line, we can substitute each of the given points into the equation and see which one satisfies it. We can also check the answer choices one by one. Let's start with (F) (-3, 8):

x + 3y = 27

-3 + 3(8) = 21, so this point does not satisfy the equation and is not on the line.

Next, let's try (G) (-9, 12):

x + 3y = 27

-9 + 3(12) = 27, so this point does satisfy the equation and is on the line.

We can stop here and conclude that the answer is (G) (-9, 12). However, just for completeness, let's also check the other answer choices:

(H) (12, 13):

x + 3y = 27

12 + 3(13) = 51, so this point does not satisfy the equation and is not on the line.

(J) (18, -3):

x + 3y = 27

18 + 3(-3) = 9, so this point does not satisfy the equation and is not on the line.

Therefore, the answer is (G) (-9, 12).

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Let total number of questions be x.

According to the question,

80% of x is 32

or 80/100 × x = 32

or x = 32 ÷ 80/100

or x = 32 × 100/80

or x = 32 × 10/8

or x = 4 × 10

or x = 40

So, total number of questions is 40.

Answer:

He has 445$ in his account

Step-by-step explanation:

First, if he has 470 in his account and he makes a check for 55,  470 - 55 = 415, then he made a deposit his account now holds 445$, thus your final answer is 445$ is the balance in his bank account.

Hope This Helps!

It took approximately 5.3 years for the amount of undeveloped land to decrease to approximately 15.39 acres, starting from 30 acres in 2002.

Let L(t) be the amount of undeveloped land in acres at time t, where t is measured in years since 2002. Then, we can write:

L(t) = 30 * (7/8)^t

We know that the amount of undeveloped land we are interested in is approximately 15.39 acres. Therefore, we can set up the following equation:

15.39 = 30 * (7/8)^t

To solve for t, we can first divide both sides by 30:

0.513 = (7/8)^t

Next, we can take the natural logarithm of both sides:

ln(0.513) = ln[(7/8)^t]

ln(0.513) = t * ln(7/8)

t = ln(0.513) / ln(7/8)

t ≈ 5.3

Therefore, it took approximately 5.3 years for the amount of undeveloped land to decrease to approximately 15.39 acres, starting from 30 acres in 2002.

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Answer:

-12 and 4

Step-by-step explanation:

graph it and the ones on x are the answers