A (-2,y) B (4,-6), gradient: -1/6
Find y using the cross-multiply method

Answer:

c

Step-by-step explanation: i took test. tell me if it is wrong

The transformation from green triangle to blue triangle is translation moved down by 6 units.

Given that,

Vertices of green triangle are (-3, 9), (-5, 4) and (2, 6)

Vertices of blue triangle are (-3, 3), (-5, -2) and (2, 0)

We can see that, x-coordinates of all the ordered pairs are same.

y-coordinates of all the ordered pairs are changed that is

(9-3)=6, (4-(-2))=6 and (6-0)=6

So, the triangles are slide down by 6 units.

Mathematically it is represented as (x, y-6)

Therefore, the transformation from green triangle to blue triangle is translation moved down by 6 units.

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A system of equations with one linear equation and one quadratic equation has "zero or one or two" solutions.

Consider a system of equations with one linear equation and one quadratic equation as

Case (1): y = x² + 4x + 2 ...(1)

and x + y = 2 ...(2)

By the substitution method:

from (2), y = 2 - x; Substituting in (1)

⇒ 2 - x = x² + 4x + 2

⇒ x² + 4x + 2 + x - 2 = 0

⇒ x² + 5x = 0

⇒ x(x + 5) = 0

∴ x = 0 and x = -5

If x = 0, then y = 2 - 0 = 2

If x = -5, then y = 2 + 5 = 7

So, the system has two solutions at (0, 2) and (-5, 7).

Case (2): y = x² + 4x + 2 ...(1)

and x - y = 2 ...(2)

By the substitution method:

from (2), y = x - 2; Substituting in (1)

⇒ x - 2 = x² + 4x + 2

⇒ x² + 4x + 2 + 2 - x = 0

⇒ x² + 3x + 4 = 0

we know that b² - 4ac will decide the nature of roots.

So, (3)² - 4(1)(4) = 9 - 16 = -7 < 0

Since the determinant is less than 0, the roots are imaginary. Hence the system has no solution. That means the line and the parabola do not meet.

Case (3): y = x² + 4x + 2 ...(1)

and y = x - 1/4 ...(2)

Substituting (2) in (1), we get

⇒ x - 1/4 = x² + 4x + 2

⇒ x² + 4x + 2 - x + 1/4 = 0

⇒ x² + 3x + 9/4 = 0

⇒ 4x² + 12x + 9 = 0

⇒ (2x + 3)² = 0

⇒ 2x + 3 = 0

∴ x = -3/2

If x = -3/2 then y = -3/4 - 1/4 = -7/4

So, the system has one solution at (-3/2, -7/4).

Therefore, the given type of system has "zero or one or two" solutions.

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At most Josh can invite 14 friends to the party. If he invited that many friends, each will receive 3 granola bars and 4 fruit drinks.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of granola = 42

Number of fruit drinks = 56

The highest common multiples of 42 and 56.

14 x 3 = 42

14 x 4 = 56

Now,

The number of friends that can be invited is 14.

Where each friend gets an equal number of each item.

Thus,

At most Josh can invite 14 friends to the party.

The number of items each friend received is 3 granola bars and 4 fruit drinks.

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Therefore , the solution of the given problem of function comes out to be there is a 0.061071 absolute difference between the integral's approximate value and its real value.

There will be questions on design, arithmetic, each subject, and both real and imagined locations on the midterm exam. An account of the relationships between different elements that combine to create the same result. A service is composed of numerous distinctive components that work in tandem to produce distinctive results for each input.

Here,

We must divide the interval [1, 0] into two subintervals of equal length in order to use a midway Riemann sum with two intervals of equal length:

=> [1, 1/2] and [1/2, 0]

Each subinterval's breadth is given by x = (1-0)/2 = 1/2, and its midpoint is given by

=>x1 = (1 + 1/2)/2 = 3/4 and x2 = (1/2 + 0)/2 = 1/4

Therefore, the midway Riemann sum is:

=> F(x1,x) + F(x2,x)

=>  (3/4)^2 * e^(-3/4) * 1/2 + (1/4)^2 * e^(-1/4) * 1/2

=> 0.099532

The exact discrepancy between this estimate and the true integral value is:

=> |0.160603 - 0.099532| = 0.061071

As a result, there is a 0.061071 absolute difference between the integral's approximate value and its real value.

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764 total miles would ruby have run. This can be solved by the concept of geometric sequence.

When two subsequent terms in a numerical series have a constant ratio, the sequence is said to be geometric. The geometric sequence's common ratio is the name of this constant.

Similar to an arithmetic sequence, the initial term a, and the common ratio r determine the entirety of a geometric series. Therefore, we may get the equation for the nth term of a geometric series if we know the first two terms.

Given that,

she runs 7 miles the first week (a₁)

increases the number of miles she runs by 10% each week

she keeps up this plan for 26 weeks.

Let us, assume,

a(n) represents no. of miles she runs at nth week.

a(n) is in geometric sequence.

now, a(n) / a(n-1) = 1 + 10% = 1.1     (increased by 10%)

So, the sum of first nth terms:

S(n) = a(1)[ 1 - rⁿ] / (1 - r)

S(n) = 7 [ 1 - (1.1)ⁿ] / (1 - 1.1)

S(n) = 70 [ (1.1)ⁿ - 1]

Now, n = 26

So, S(26) = 70 [ (1.1)²⁶ - 1]

S(26) = 764 miles.

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The high school dropout rate in the United States is greater than 25 percent. C. Wright Mills would classify this situation as a societal issue.

This is because societal issues are matters of public concern that affect large numbers of people and require collective action to resolve. The high school dropout rate in the United States is an example of a societal issue because it has widespread implications for both individuals and society as a whole.

According to Mills, a societal issue is one that cannot be attributed solely to the actions of individuals. Instead, it is the result of social structures and processes that operate at a broader level.

For example, the high school dropout rate in the United States is influenced by a variety of factors such as poverty, race, and family background. These factors are not solely determined by the actions of individual students but are instead shaped by broader social forces such as economic inequality and institutional racism.

To address the high school dropout rate, therefore, requires collective action at the societal level. This may involve policy changes, community-based initiatives, or other forms of collective action aimed at addressing the underlying social factors that contribute to the problem.

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In the given list of numbers (56, 25, 26, 28, 81, 93, 92, 85, 99, 87), when the Partition function is called with the range from 5 to 9, the pivot chosen is 93. The low partition consists of the numbers less than or equal to the pivot.

Quicksort is a sorting algorithm that involves partitioning the list around a pivot and recursively sorting the resulting sublists. In this case, the given list of numbers is (56, 25, 26, 28, 81, 93, 92, 85, 99, 87).

When the Partition function is called with the range from 5 to 9, the pivot is chosen as the element at the midpoint of that range. So, the midpoint of the range from 5 to 9 is (5 + 9) / 2 = 7. Therefore, the pivot chosen is the 7th element of the list, which is 93.

The low partition consists of the numbers less than or equal to the pivot. In this case, the numbers less than or equal to 93 are 56, 25, 26, 28, 81, and 92.

Hence, the pivot is 93, and the low partition consists of the numbers 56, 25, 26, 28, 81, and 92.

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Answer:

This hurt my head

Step-by-step explanation:

Answer:

630 cubic inches of 630 in³

Step-by-step explanation:

The formula for the volume of a triangular prism = (Area of the base) × Height of the triangular prism

Area of the base = 1/2 × base × height

= 1/2 × 5 inches × 12 inches

= 30 square inches

Volume of the Triangular prism = Area of the base × Height of the Triangular Prism =

Height of the triangular prism = 21 inches

Volume of the Triangular Prism = 30 Square inches × 21 inches

= 630 cubic inches of 630 in³

Answer:

y = 6x - 19

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 6x - 4 ← is in slope- intercept form

with slope m = 6

Parallel lines have equal slopes , then

y = 6x + c ← is the partial equation

To find c substitute (3, - 1) into the partial equation

- 1 = 18 + c ⇒ c = - 1 - 18 = - 19

y = 6x - 19 ← equation of parallel line

Answer:

It's 674

Step-by-step explanation:

Therefore, the approximate length of each of the walking paths that passes through the center of the park and connects opposite sides of the outer walkway is 3.8 miles.

In mathematics, area is the measure of the size or extent of a two-dimensional surface or region, typically expressed in square units such as square meters or square feet. It is the amount of space inside the boundary of a flat object, such as a triangle, circle, or rectangle. The calculation of area depends on the shape of the object, and there are different formulas for different shapes.

Here,

We can start by finding the radius of the circular walking path. Let's call it r. The area of each sector is given as 1.42 square miles, so we can set up an equation:

(1/4)πr² = 1.42

Solving for r:

r² = (1.42 x 4)/π

r² ≈ 1.138

r ≈ 1.902 miles

Now, we can find the length of the walking path that passes through the center of the park and connects opposite sides of the outer walkway. This is equal to the diameter of the circular walking path, which is 2r.

Length of walking path = 2r

≈ 3.8 miles

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The coordinates of S' when the coordinates of the vertices of ARST are R(-4,-5), S(0,-5), and T(-2,4). If ARST is reflected across the x-axis to create A'R'S'T' is (0,5).

When a coordinate of the vertex is reflected on the x-axis the coordinate of x-axis becomes opposite of the original that is sign gets opposite .

R = (-4 ,-5)

Reflected R = R'  = (-4 , 5)

S = (0,-5)

Reflected S = S'  = (0 , 5)

T = (-2 ,-4)

Reflected T = T'  = (-2, -4)

Hence reflected S that is S' = ( 0 , 5).

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To find $\sin(a+b)$ when given $a$ in quadrant III and $b$ in quadrant IV, we can use trigonometric identities and the sign conventions of the trigonometric functions.

We are given that $4\tan a=-3$, which means $\tan a=-\frac{3}{4}$. Since $a$ is in quadrant III, we know that $\cos a<0$ and $\sin a<0$. Therefore, we can draw a right triangle in quadrant III with opposite side $-3$, adjacent side $-4$, and hypotenuse $5$. This triangle has $\sin a=-\frac{3}{5}$ and $\cos a=-\frac{4}{5}$.

We are also given that\($\cos b=\frac{4}{5}$\), which means $\sin^2 b=1-\cos^2 \(b=\frac{9}{25}$.\) Since $b$ is in quadrant IV, we know that $\sin b>0$. Therefore, we can draw a right triangle in quadrant IV with opposite side $3$, adjacent side $4$, and hypotenuse $5$. This triangle has $\sin b=\frac{3}{5}$ and $\cos b=\frac{4}{5}$.

Using the angle addition formula for sine, we get:

\(sin⁡(�+�)=sin⁡�cos⁡�+cos⁡�sin⁡�=(−35)(45)+(−45)(35)=−2425\)

sin(a+b)=sinacosb+cosasinb=(−

\(53​ )( 54​ )+(− 54​ )( 53​ )=− 2524​\)

Therefore \(, $\sin(a+b)=-\frac{24}{25}$.\)

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The table has a greater rate of change.

The rates of change are equal.

In the given problem, we have a table showing the relationship between x and y values. By comparing the change in y with the change in x, we can determine the rate of change. Looking at the table, we observe that for every increase of 1 in x, there is a corresponding increase of 1 in y. Therefore, the rate of change for this table is 1.

The slopes are equal.

The equation has a greater slope.

In problem 2, we are given a linear equation in the form y = mx + b, where m represents the slope. The given equation is y = 2x + 7, which means the slope is 2. To compare the rates of change, we compare the slopes. If the slopes are equal, the rates of change are equal. In this case, the slopes are equal to 2, so the rates of change are the same.

The function rule has a greater slope.

The slopes are equal.

In problem 3, we are told that as x increases by 1, y increases by 3. This information gives us the rate of change between x and y. The slope of a function represents the rate of change, and in this case, the slope is 3. Comparing the slopes, we find that they are equal, as both have a value of 3. Therefore, the rates of change are the same.

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Answer:

5/33

Step-by-step explanation:

p(a)*p(b)

(Dependent events)

Answer:

5/33

Step-by-step explanation:

Answer:

1156

Step-by-step explanation:

34*34

Answer: x=-12

Step-by-step explanation:

subtract 12 from both sides

3x=2x-12

subtract 2x from both sides

x=-12

Subtract 12 from both sides of the equation:

3x + 12 = 2x

3x + 12 - 12 = 2x - 12

Simplify:

3x = 2x - 12

Subtract 2x from both sides of the equation:

3x = 2x - 12

3x-2x = 2x  - 12-2x

Simplify:

combine like terms --> multiply by 1 --> combine like terms

x = -12 <-- ANSWER

Answer: 46 puzzles

Step-by-step explanation:

There are 70 puzzles in total in the book.

Jackie has completed 2/5 of these puzzles which is:

= 2/5 * 70

= 28 puzzles

Jackie has completed 28 puzzles. She then completes 18 more. The total number of puzzles completed is:

= 28 + 18

= 46 puzzles

the answer is last option

as shown by the graph. the car decreases from 4mi/h to 2mi/h at 3secs. then increases to 5mi/h in the next 5 secs(counting from 4secs to 8secs) then remains uniform for the last 2 secs.

Hope you understand

The speed of the car decreases from  4 mi / h  to  2 mi / h   in the first  3 seconds,  Increases to  5 mi / h  in the next  2 seconds, and then remains at 5 mi / h  for the last  5 seconds.

At:  T  =  0  the speed  =  4 miles/hr then decreases to the speed which is equal  to  2 miles/hr, During the first 3 seconds, and then increased to

5 miles/hr the next  2 seconds, Which then becomes constant at  

5 miles/hr for the last 5 seconds. Therefore, OPTION (A) is the correct statement.

Hence, The Correct Statement is OPTION (A): The speed of the car decreases from  4 mi / h  to  2 mi / h   in the first  3 seconds,  Increases to  5 mi / h  in the next  2 seconds, and then remains at 5 mi / h  for the last  5 seconds.

I hope this helps!

To create a valid matched pair test, the researcher should consider random assignment, similarity, blinding, sample size, and duration.

To create a valid matched pair test, the researcher should consider the following:

Random assignment: The pairs should be randomly assigned to the treatment and control groups to avoid bias.

Similarity: The pairs should be matched based on similar characteristics that could affect the outcome, such as age, gender, prior algebra performance, and socioeconomic status.

Blinding: The researcher should ensure that the students do not know which group they are assigned to, and the person administering the test should also be blinded to the group assignments.

Sample size: The sample size should be large enough to provide sufficient statistical power to detect a meaningful difference between the two groups.

Duration: The length of the study should be sufficient to allow for meaningful differences to occur between the groups, but not so long that other factors could interfere with the outcome.

By considering these factors, the researcher can create two groups that are well-matched and comparable, allowing for a valid matched pair test to be conducted.

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Answer:

D. The graph has a positive rate of change

Step-by-step explanation:

The graph's slope, or rate of change, is positive, which means that D is your answer.

Answer:

Susie's family ate 1 cherry pies. How much pie did both families eat? 29 = 2 Both families at 2 of pie.

Step-by-step explanation:

if this doesn’t help then i don’t know ‍♀️

The constant term (1) is not affected by the modulo operation, we can conclude that for any odd integer n, the expression n^4 mod 16 is equal to 1.

So we have successfully proved the statement that if n is an odd integer, then n^4 mod 16 is equal to 1.

What is an integer?

A whole number (from the Latin integer means "whole") is colloquially defined as a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 512, and √2 are not. The integers form the smallest group and the smallest circle containing the natural numbers.

To prove the statement "If n is an odd integer, then n^4 mod 16 = 1," we need to show that for any odd integer value of n, the expression n^4 mod 16 always evaluates to 1.

Let us continue the proof by considering properties of odd integers and modular arithmetic.

We begin by assuming that n is an odd integer. By definition, an odd integer can be represented as 2k + 1, where k is an integer.

Now we substitute the value of n in the expression n^4 mod 16:

(2k + 1)^4 mod 16

Expression expansion:

(2k + 1)^4 = 16k^4 + 32k^3 + 24k^2 + 8k + 1

If we take this expression modulo 16, all terms except the constant term (1) will have factors of 16, making them divisible by 16.

The expressions 16k^4, 32k^3, 24k^2, and 8k will all have at least one factor of 16.

Therefore, we can simplify the expression as follows:

(2k + 1)^4 mod 16 ≡ 1 (mod 16)

Since the constant term (1) is not affected by the modulo operation, we can conclude that for any odd integer n, the expression n^4 mod 16 is equal to 1.

So we have successfully proved the statement that if n is an odd integer, then n^4 mod 16 is equal to 1.

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Answer: (-0.75, 309)

Step-by-step explanation:

To find the vertex, first we will complete the square.

Given:

     h(t) = - 16t² + 24t + 300

Factor out -16:

     h(t) = -16(t² - 1.5t) + 300

Add and subtract \(\frac{b}{2} ^2\):

     h(t) = -16(t² - 1.5t + 0.5625 - 0.5625) + 300

Regroup:

     -16 * -0.5625 = 9; 9 + 300 = 309

     h(t) = -16(t² - 1.5t + 0.5625) + 309

Factor:

     h(t) = -16(t² - 1.5t + 0.5625) + 309

     h(t) = -16(t - 0.75)² + 309

Now, this equation is in vertex form. The vertex is (h, k) in the form y = a(x - h)² + k, meaning that our vertex is;

          (-0.75, 309)

I have also graphed this, see attached.

Answer:

C)  x = 3

Step-by-step explanation:

factor out a 2 to get:

2(x² - 6x + 9) = 0

(x-3)² = 0

x = 3

Answer and Step-by-step explanation:

First, to find the zeros of the function, we can take out a common factor from the equation, and then factor.

The equation has a common factor of 2 (so distribute of the 2 from all of the numbers).

2(\(x^2 - 6x + 9\))

Now, we factor. Find two numbers that multiplies to \(9x^2\) and adds up to -6x.

-3x and -3x.

Now, we substitute these two for -6x.

\(2(x^2 - 3x-3x+9)\)

Factor.

\(2(x - 3)(x-3)\)

Finally, we set all of the values to 0 and solve for x.

2 ≠ 0

x - 3 = 0    x = 3

x - 3 = 0    x = 3

That means the answer is C. x = 3

(Not shown, but the multiplicity of this x value is 2, because there are two

x = 3)

#teamtrees #PAW (Plant And Water)

Answer:

23

Step-by-step explanation:

Angle x and the two given angles form a triangle. The interior angles of a triangle add up to be 180.

so

\(124 + 33 + x = 180\)

\(157 + x = 180\)

\(x = 23\)

In the parallelogram below, the value of x is \(23^o\) using the angle sum property .

The angle sum property states that:

The sum of all the interior angles of a triangle is \(180^o\).

A  parallelogram is a four sided figure in which opposite sides are equal and parallel.

Given that:

A parallelogram in which the measurement \(124^o\) and \(33^o\) is given.

The parallelogram is divided into two triangles.

The value of x can be calculated as:

\(x+ 33^o + 124^o = 180^o\) (Angle sum property)

\(157^o +x = 180^o\)

    x =\(180^o- 157^o\)

    x = \(23^o\)

Thus, the value of x is \(23^o\).

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