I need help. Please someone help. .......................................................................................................

The total capacity of the big school bus is 140 children.

To find out how many children can fit into the big school bus, let's work through the given information step by step.

When the bus left Area A, it was 2/7 full. This means that 2/7 of the bus's capacity was occupied by children. Let's represent the total capacity of the bus as 'x'. Therefore, 2/7 of 'x' corresponds to the number of children on the bus when it left Area A.

After the bus arrived at Area B, 9 children alighted, which means the number of children decreased by 9. We are then told that there were 31 children remaining on the bus. So, the number of children on the bus before any alighted was 31 + 9 = 40.

Since 2/7 of the bus's capacity was occupied by children when it left Area A, we can set up the following equation:

(2/7) * x = 40

To solve for 'x', we can multiply both sides of the equation by (7/2):

x = 40 * (7/2)

x = 140

Therefore, the total capacity of the big school bus is 140 children.

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Answer:180-128=52

Step-by-step explanation:

opposite supplementary angles

On one side of the square, it is 4.5 units long. The formula in finding the area of a square is A = s^2, where s is for side. The formula can also be A = s * s in which both formulas are the same and will result in the same answer. So overall, the area of the square is 20.25 or 20 ¼ square units. Hope this helps!

Answer: Yes, it is true

Step-by-step explanation:

The best answer is the nearby population and local average income.

What is the average?

This is the arithmetic mean and is calculated by adding a group of numbers and then dividing by the count of those numbers. For example, the average of 2, 3, 3, 5, 7, and 10 is 30 divided by 6, which is 5.

The independent variables in a regression analysis are the variables that are believed to have an impact on the dependent variable.

In this case, the dependent variable is expected sales, and the independent variables are factors that could influence sales at a particular location.

Of the options given, nearby population and local average income are both factors that could reasonably be expected to have an impact on expected sales at a store location.

A larger nearby population may indicate more potential customers, while a higher local average income may indicate more purchasing power among those customers.

The other options, number of rainy days and number of snow days, sales and expenses, and number of employees and size of the building, are all variables that could be relevant in other contexts, but are less directly related to expected sales at a store location.

Hence, The best answer is the nearby population and local average income.

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Answer:

72

Step-by-step explanation:

words per minutes= 1800÷25=72

The number in the center of the array is A + 2, where A is the value obtained after solving the equation 4A + 6 = [sum of the numbers in the corners].

To find the number in the center of the array, we need to consider the sum of the numbers in the four corners.

Let's denote the numbers in the corners as A, B, C, and D, respectively. Since the numbers are consecutive and occupy squares that share an edge, we can deduce that the difference between each consecutive number is 1.

The sum of the numbers in the corners is given as:

A + B + C + D = [A + (A + 1) + (A + 2) + (A + 3)]

Simplifying the expression:

A + B + C + D = 4A + 6

Since the sum of the numbers in the corners adds up to a certain value, we can write the equation as:

4A + 6 = [sum of the numbers in the corners]

Given that the sum of the numbers in the corners is a specific value, we can solve for A.

Once we find the value of A, we can determine the number in the center of the array by taking A and adding 2 to it. This is because the difference between the center number and the corner numbers is 2.

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Answer: Umm i think one if u skip one number the sequence is like 6, 8, 10, 12, 14 which is adding by two.

The other one, 5, 13, 21, 29 is adding 8 to each number.

Im just guessing here sorry.

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Here, we are required to figure out the number sequence 6, 5, 8, 13, 10, 21, 12, 29, 14.

The observation in the sequence is as follows;

By observation, the number sequence contains 9 terms. 4 even Nth term, and 5 odd Nth term.

For the even Nth terms, which are: 5, 13, 21, and 29.

For the odd Nth terms, which are: 6, 8, 10, 12, and 14.

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Number of students at preschool are four-years-old in the program is 6

If 16 students are four-years-old, then the remaining students must be older than four. Let's call the number of older students "x". Then the total number of students is

16 + x

Now we know that 3/8 fraction of the total students attend the full-day program. So we can set up an equation

3/8 (16 + x) = number of students in full-day program

To solve for the number of four-year-old's in the program, we need to find 3/8 of the number of four-year-old's (16). We can do this by multiplying 16 by 3/8

16 x 3/8 = 6

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2/15, 3/20, 1/5

best to use a calculator to see decimals then order them imo :)

">" makes each inequality statement true. since -19 > -20

Mathematical number comparison is the process or method of comparing two numbers to determine whether one is less, bigger, or equal to the other. The comparison symbols for numbers are "=", which stands for "equal to," "=", which stands for "greater than," and " ", which stands for "less than."

Given three inequalities symbols>, <, and = and we need to compare -19 and -20 as per the problem. Hence -19 > -20

Therefore, Each inequality assertion is true when ">" is used. since -19 > -20

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Answer:

x=115⁰

z=27⁰

Step-by-step explanation:

65+x=180 -> Due to same side interior being equal to 180 degrees

x= 115

x = 3z + 34 -> opposite interior being equal

115 = 3z + 34

81 = 3z

divide by 3 on both sides

z=27

Answer:

The answer is explained below

Step-by-step explanation:

Statement                                                        Reason

Triangle ACD is isosceles and                         Given

<1 = <3 (<1 is congruent to <3)                                                            

∠3 = ∠4                                                             Isosceles   triangle base angles.

∠1 = ∠4                                                              Substitution Theorem

∠1 = ∠4                                                             They are produced by two lines .                                                                         AB and CD cut by transversal  

.                                                                         line AD

Segment AB || Segment CD                           Alternate interior angle theorem  

The Alternate interior angle theorem states that if two lines cut by a transversal line form congruent alternate interior angles, then the two lines are parallel to each other.

Answer:

when two things are said to be in inverse proportion , the two things are connected to each other in a particular way that if one thing increases its quantity the other will decrease .

For example : More the number of workers the less time needed to finish the work.

hope this helps you .

Answer:

A direct and inverse proportion is used to show how the quantities and amount are related to each other. For example, if we say, a is proportional to b, then it is represented as 'a∝b' and if we say, a is inversely proportional to b, then it is denoted as 'a∝1/b'.

What is the direct proportion?

Direct proportion is the relationship between two variables whose ratio is equal to a constant value.

Example

The term direct proportion means that two (or more) quantities increase or decrease in the same ratio. For example, in the purple paint mixture, the ratio of blue to red of 4:3. This does not necessarily mean we every mixture would have 4 red and 3 blue cans.

Formula

In mathematical statements, it can be expressed as y = kx. This reads as “y varies directly as x” or “y is directly proportional as x” where k is constant in the equation.

What is the indirect proportion?

Inverse proportion occurs when one value increases and the other decreases.

Example

More workers on a job would reduce the time to complete the task. They are inversely proportional.

Formula

The equation for inverse proportion is x y = k or x = k/ y. Therefore, for finding the value of the constant k, you can use the known values and then use this formula to calculate all the unknown values.

The Fourier transform of u(t) is 1/(jω) + πδ(ω), and the Fourier transform of r(t) = e^(-3|t|) is 1/(jω - 3) + 1/(jω + 3).

To compute the Fourier transforms of the given signals, we'll use the following properties:

1. Fourier Transform of u(t): The Fourier transform of the unit step function u(t) is given by 1/(jω) + πδ(ω), where δ(ω) is the Dirac delta function.

2. Fourier Transform of r(t): The Fourier transform of r(t) = e^(-3|t|) can be found using the definition of the Fourier transform and properties of the absolute value function.

Using these properties, we can compute the Fourier transforms of the given signals:

a) Fourier Transform of u(t): The Fourier transform of u(t) is 1/(jω) + πδ(ω), as mentioned above.

b) Fourier Transform of r(t): To compute the Fourier transform of r(t) = e^(-3|t|), we split it into two cases:

• For t < 0: r(t) = e^(3t)

• For t ≥ 0: r(t) = e^(-3t)

Applying the Fourier transform to each case, we obtain:

• For t < 0: Fourier transform of e^(3t) is 1/(jω - 3)

• For t ≥ 0: Fourier transform of e^(-3t) is 1/(jω + 3)

Combining the two cases, the Fourier transform of r(t) = e^(-3|t|) is: 1/(jω - 3) + 1/(jω + 3)

Therefore, the Fourier transform of u(t) is 1/(jω) + πδ(ω), and the Fourier transform of r(t) = e^(-3|t|) is 1/(jω - 3) + 1/(jω + 3).

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Answer:

C

Step-by-step explanation:

-4 is greater than -7

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If the number of research papers in Dr. Carey's area of expertise is increasing by 3% every year and 34,176 research papers were published this year, then approximately 35,168 research papers will be published two years from now.

To calculate the number of research papers that will be published two years from now, we need to apply the 3% annual increase for two consecutive years to the initial count of 34,176 papers.

First, we calculate the increase for the first year:

Increase = 34,176 * 3% = 34,176 * 0.03 = 1,025.28 (approximately)

Next, we add this increase to the initial count to get the count after one year:

Count after one year = 34,176 + 1,025.28 = 35,201.28 (approximately)

Now, we calculate the increase for the second year based on the count after one year:

Increase = 35,201.28 * 3% = 35,201.28 * 0.03 = 1,056.04 (approximately)

Finally, we add this increase to the count after one year to get the count after two years:

Count after two years = 35,201.28 + 1,056.04 = 36,257.32 (approximately)

Therefore, approximately 36,257 research papers will be published two years from now.

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The probability that z lies between -2.41 and 0 is approximately 0.9911.

To find the probability that a standard normal variable, z, falls within a specific range, we can use the standard normal distribution table or a statistical calculator.

In this case, we want to find the probability that z lies between -2.41 and 0. By referencing the standard normal distribution table or using a calculator, we can determine the area under the curve corresponding to this range. The resulting value represents the probability of z falling within that range.

Approximately 0.9911 is the probability that z lies between -2.41 and 0 when rounded to four decimal places. This means that there is a high likelihood (approximately 99.11%) that a randomly chosen value of z from a standard normal distribution falls within this range.

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The vertex form of the equation is y = (x - 3)² - 4, which corresponds to option OD.

To convert the given equation from standard form to vertex form, we need to complete the square.

The vertex form of a parabola's equation is y = a(x-h)² + k, where (h, k) represents the vertex of the parabola.

Given equation: y = x² - 6x + 14

Move the constant term to the right side:

y - 14 = x² - 6x

Complete the square by adding and subtracting the square of half the coefficient of x:

y - 14 + 9 = x² - 6x + 9 - 9

Group the terms and factor the quadratic:

(y - 5) = (x² - 6x + 9) - 9

Rewrite the quadratic as a perfect square:

(y - 5) = (x - 3)² - 9

Simplify the equation:

y - 5 = (x - 3)² - 9

Move the constant term to the right side:

y = (x - 3)² - 9 + 5

Combine the constants:

y = (x - 3)² - 4

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\(\huge\underline{\red{A}\green{n}\blue{s}\purple{w}\pink{e}\orange{r} →}\)

x >= 4

Step-by-step explanation:

3x >= 12

x >= 4

this is nothing but → x ≈ (∞ , 4]

Answer:

Remove all perfect squares from inside the square root. ... I think it's about eighth or ninth grade. ... so if you have the cube root of the square root of (x-5) =2, you get ((x-5)^(1/2))^1/3 = 2, power to power requires multiplication, so (x-5)^1/6 = 2, ...

Missing: 176 ‎xy

There are 788,872,812,500 ways to select a committee of 10 senators consisting of 5 men and 5 women.

We need to select 5 men out of 85 and 5 women out of 15, and then combine them to form a committee of 10. We can do this using the combination formula:

\(${{85}\choose{5}}$\) ways to select 5 men from 85, and\(${15\choose5}$\)ways to select 5 women from 15.

To form the committee, we need to combine these two groups of 5. We can do this by multiplying the number of ways to select each group:

\((855)⋅(155)=85!5!80!⋅15!5!10!=788872812500.( 585​ )⋅( 515​\)

)\(= 5!80!85!​ ⋅ 5!10!15!​ =788872812500.\)

Therefore, there are 788,872,812,500 ways to select a committee of 10 senators consisting of 5 men and 5 women.

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Answer:

3 and - 10

Step-by-step explanation:

(a)

when x = 0 in the interval x ≤ 0 then y = \(\frac{3}{2}\) x + 3 , so

y = \(\frac{3}{2}\) (0) + 3 = 0 + 3 = 3

when x = 0, the value of the function is 3

(b)

when x = 5 in the interval x > 0 then y = - 2x , so

y = - 2(5) = - 10

when x = 5 the value of the function is - 10

Answer: a. when x=0, the value of the function is 3

              b. when x=5, the value of the function is -10

Step-by-step explanation:

\(\displaystyle\\y=\left \{ {{\frac{3}{2}x+3,\ if\ x\leq 0 } \atop {-2x,\ if\ x > 0}} \right.\)

\(\displaystyle\\x=0\\\\Hence,\\\\y=\frac{3}{2} (0)+3\\\\y=0+3\\\\y=3\)

\(x=5\\\\Hence,\\\\y=-2(5)\\\\y=-10\)

Answer:

55%

Step-by-step explanation:

The percent change formula is written like this:

\(|\frac{change - original }{original}|\). In this scenario, the "change" or new value is 31, because it is this season, and the original is last season. Now, 31-20 = 11, and 11/20 = 55%.

For simple linear regression, the explanatory variable is numeric.

Simple linear regression is a statistical method that allows researchers to understand the relationship between two continuous variables. A simple linear regression model is used to represent the relationship between a dependent variable (Y) and an independent variable (X) by making a linear equation of the form

Y = a + bX, where a is the constant, and b is the regression coefficient.

In simple linear regression, the explanatory variable is of numeric type. This statistical method involves the use of two numeric variables, namely the explanatory (independent) variable and the response (dependent) variable, which are analyzed to establish a linear relationship between them.

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Answer:

√34 yards

Step-by-step explanation:

Use the Pythagorean Theorem to find what c is. The Pythagorean Theorem is a^2+b^2=c^2. In this case, a is equal to 3 and b is equal to 5. This means that the equation will be 3^2+5^2=c^2. Simplify to get 9+25=c^2. Add 9 and 25 to get 34. 34=c^2. You want c to be equal to one so you have to divide both sides by the power of 2. This will make it c=√34 yards.

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