You have discovered that you have two Twizzlers have some really interesting properties.
When lit on fire, each Twizzler will burn for exactly 1 hour.
The rate of burning is NOT constant – different parts of each Twizzler burn at different rates,
AND each Twizzler burns at a rate different from the other.
You need to use these two Twizzlers to measure EXACTLY 45 minutes. How do you do it?
UIT
10S

Answer:

(-4 , -1)

Step-by-step explanation:

The solution will be the point where the two lines intersect.

(-4 ,-1) is the solution.

The game will cost Arnold for $8.99.

How does subtraction work?

Mathematical operation is subtraction. It is employed to eliminate terms or expression's objects.

Given, a video game costs $14.99 at Arnold's.

40% of the sales price

= 40 x 14.99 / 100

= 5.996,

which equals 6, round.

The game is marked up by Arnold's at 40% of the asking price. that is 6,

40% of the selling price equals the selling cost minus Arnold's game costs.

Cost of the game to Arnold: 6 = 14.99

the game's price to Arnold plus 6 equals $14.99

making use of the subtraction operation,

The game cost Arnold $8.99.

Arnold will pay $8.99 for the game as a result.
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The inputs to the ztest method in Python are a dataframe column (an array) of data values and a hypothesized value of the population mean.

What is the ztest method?

The ztest method is used to perform a one-sample or two-sample z-test for the mean of a data sample with a known population standard deviation.

It tests whether the sample mean is significantly different from the hypothesized population mean, using a normal distribution and the z-score formula.

What are the inputs to the ztest method?

The inputs to the ztest method in Python are:a dataframe column (an array) of data values,a hypothesized value of the population mean.

The syntax for the ztest method is:ztest(x1[, x2, value, alternative, usevar, …])The parameters are:x1: a dataframe column (an array) of data valuesx2 (optional): a second dataframe column (an array) of data values for two-sample testsvalue (optional): a hypothesized value of the population meanalternative (optional): a two-sided or one-sided testusevar (optional): whether to use the sample variance or the population varianceddof (optional): degrees of freedom adjustment for the standard deviation of the samplemean (optional): difference between the population mean and the hypothesized meancorrected (optional): whether to apply a continuity correction for the normal distribution

Answer:

512

Step-by-step explanation:

8^3 = 512

.................

Answer:

512

Step-by-step explanation:

Given

\(m^{n}\) ( substitute m = 8, n = 3 into the expression

= 8³

= 8 × 8 × 8

= 64 × 8 = 512

Answer:

3.15km²

Step-by-step explanation:

A = bh/2

In a linear equation, 9 cups of milk are needed to make 108 cookies .

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                          Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

1 cup of milk makes 12 cookies.

If you wanted to make twice as many cookies (24), then you would need 2 cups.

If you wanted to make three times as many cookies (36), then you would need 3 cups.

1 cup / 12 cookies = X cups / 108 cookies

    1/12 = X/108

        X =  9

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Answer:

1 and 1/8 of a batch

Step-by-step explanation:

First you multiply 1/2 by 4 and get for 8 and then you subtract 4/8 - 3/8 and you take the sum of that and add one hole

Answer: x-int: (-4, 0), y-int: (0, 1/2)

Step-by-step explanation:

x-int: when y = 0

-x + 8*0 = 4

-x = 4

x = -4

(-4, 0)

y-int: when x = 0

0 + 8y = 4

8y = 4

y = 1/2

(0, 1/2)

Step-by-step explanation:

t= how far his scooter can travel on 2.5 gallons of gas

Start by setting up a ratio

53:1= t:2.5

Rewrite as fractions

\(\frac{53}{1}\) = \(\frac{t}{2.5}\)

Cross multiply

1(t)= 53(2.5)

Simplify

t= 132.5

Walter's scooter can travel 132.5 miles on 2.5 gallons of gas

I hope this helps!!!

Answer:

A

Step-by-step explanation:

3 * 10^2 is 300miles in 5hrs. that sounds more reasonable than the other options. have a good day! pls give brainliest

Triangle MNL is congruent to triangle QNL because: they are congruent by either ASA or AAS.

The ASA is a triangle congruence theorem that states that two triangles are congruent if we can show that they have two pairs of corresponding congruent angles and a pair of included congruent side.

The AAS is also a triangle congruence theorem that states that two triangles are congruent if we can show that the two angles and a non-included side of one triangle is congruent to corresponding two angles and an included side in the other triangle.

Using the image given, we can prove the two triangles are congruent by ASA as follows:

m<MNL = m<QNL = 90°

m<MLN = m<QLN = 32°

NL = LN (reflexive property)

Also, we can show that they are congruent by AAS as shown below:

NL = LN (reflexive property)

m<MLN = m<QLN = 32°

m<NML = m<NQL = 90°

Thus, we can use ASA or AAS to show they are congruent triangles.

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Answer:

To add integers having the same sign, keep the same sign and add the absolute value of each number.

Step-by-step explanation:

hope it help

Answer

C41 = 2

This very simple to do.

First locate the entry in A41 in matrix A. That is the entry in the intersection of the fourth row and first column of matrix A. This entry is 7.

Then multiply by the scalar which is 2 to get,

Next we locate the entry in B41 in matrix B also. Which is 4. We multiply by the scalar of -3 to get,

-3 x 4= -12

We now add these two corresponding entries to obtain,

14+-12= 2

Answer:

AB(12, -8)?

Step-by-step explanation:

I think that's it but I haven't done something like this in a hot minute. If it's wrong I'm sorry

The number of his next 42 field goals the kicker will not make will be 35.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

A kicker made 10 of his last 12 field goals.

Predict the number of his next 42 field goals the kicker will not make will be

Let x be the number of his next 42 field goals the kicker will not make.

Then we have

x / 10 ≠ 42 / 12

      x ≠ 35

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Answer:

A. p2=16

soln:

p=4×4=16

so,

p2=16

If derivative of \(f(x)=ln(x+4+e^{(-3x)})\), then f '(0) = -2/5.

What is derivative?

In calculus, the derivative of a function is a measure of how the function changes as its input changes. More specifically, the derivative of a function at a certain point is the instantaneous rate of change of the function at that point.

To find f'(0), we first need to find the derivative of f(x) with respect to x. Using the chain rule, we get:

\(f'(x) = 1 / (x+4+e^{(-3x)}) * (1 - 3e^{(-3x)})\)

Now we can find f'(0) by substituting the value x=0:

\(f'(0) = 1 / (0+4+e^{(-3(0))}) * (1 - 3e^{(-3(0))})\)

f'(0) = 1 / (4+1) * (1 - 3)

f'(0) = -2/5

Therefore, f'(0) = -2/5.

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a) Relationship between corresponding sides: the corresponding sides are parallel and have a ratio of k in length.

b) Relationship between corresponding sides' orientations: The corresponding sides will still be parallel to the original sides.

c) Relationship between corresponding angles:the corresponding angles are congruent.

What do you mean by congruent angles?

Congruent angles are angles that have the same measure or size. In other words, if two angles have the same number of degrees or radians, they are said to be congruent. When we say that two angles are congruent, it means that they are exactly the same shape and size, and they can be superimposed on each other without any rotation or scaling. Congruent angles play an important role in geometry, as they allow us to prove that two figures are similar or congruent.

To apply a dilation with scale factor k centered at the origin, we multiply the coordinates of each vertex by k. So, to find the coordinates of A', B', and C', we will multiply the coordinates of A, B, and C by the scale factor.

a) The relationship between corresponding sides in terms of their lengths:

Let's denote the scale factor by k. The distance between two points (x1, y1) and (x2, y2) is given by the distance formula, which is:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

When we multiply each coordinate by k, the distance between the two points is multiplied by k as well. So, if AB has length dAB and A'B' has length dA'B', we have:

dA'B' = k * dAB

Similarly, we can find the relationship between the lengths of BC and B'C', as well as between the lengths of AC and A'C'.

b) The relationship between corresponding sides in terms of their orientations:

The orientation of a line is given by its slope. If two lines have the same slope, they are parallel or collinear. If they have slopes that are negative reciprocals of each other, they are perpendicular. When we multiply the coordinates of a point by k, the slope of any line passing through that point is multiplied by k as well. So, if the slope of AB is mAB and the slope of A'B' is mA'B', we have:

mA'B' = k * mAB

We can use this to find the relationship between the slopes of BC and B'C', as well as between the slopes of AC and A'C'.

c) The relationship between corresponding angles in terms of their measures:

The measure of an angle is determined by the slope of the line that contains the angle. When we multiply the coordinates of a point by k, the slope of any line passing through that point is multiplied by k as well. This means that the measure of any angle that includes the origin is unchanged by the dilation. However, the measure of any angle that does not include the origin is multiplied by a factor of k. So, if angle ABC has measure x and angle A'B'C' has measure y, we have:

y = k * x

We can use this to find the relationship between the measures of angles BAC and B'A'C', as well as between the measures of angles CBA and C'B'A'.

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The system of linear equations which could be used to determine the number of free throws isaiah made and the number of two point shots he made is;

Let the number of free throws isaiah made be; x.

Let the number of two point shots he made be; y.

On this note, since the individual, isaiah scored a total of 12 points. The algebraic equations which represents the word phrase is;

x + 2y = 12.

Also, it follows from the task content that;

Isaiah made 4 times as many free throws as two point shots. The equation which represents the situation as described is;

x = 4y.

Consequently, the system of linear equations which correctly could be used to determine the number of free throws and two point shots isaiah made is;

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Answer:

zczczczczczcz

Step-by-step explanation:

Step 1. We label the points to Find the slope of the line.

The points we have are (4,1) and (2,3), we label them as follows:

Step 2. Use the slope formula to find the slope "m":

Substituting our values:

Solving the operations:

Step 3. Now that we have the slope, we use the point-slope equation to find the equation of the line.

The point-slope equation is:

Substituting the values of m, x1, and y1:

now we solve this equation for y by using the distributive property on the right side of the equation:

Add 1 to both sides:

Step 4. Change to function notation.

To do this, we change "y" for "f(x)":

Answer:

Answer:

Sophia knits 5 mittens in 15 hr

Sophia kints 1 mittens in 15/3 hr

= 5hr

.: Sophia kints 8 mittens in 8×5 hr

= 40 hr

therefore, Sophia takes 40 hr to complete 8 mittens

Answer:

The rate would be 1 mitten in 3 hours.  It would take her 24 hours to complete 8 mittens.

Step-by-step explanation:

The rate is mittens/ hour

5/15 = 1/3 or 1 mitten per 3 hours.

Rate x Time = mittens

Let t = time

\(\frac{1}{3}\) t = 8  Multiply both sides by 3

t = 24

Answer:

y = - 3x - 2

Step-by-step explanation:

The function is linear and can be expressed in slope- intercept form

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

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 4) and (x₂, y₂ ) = (- 1, 1) ← 2 ordered pairs from the table

m = \(\frac{1-4}{-1-(-2)}\) = \(\frac{-3}{-1+2}\) = \(\frac{-3}{1}\) = - 3 , then

y = - 3x + c

To find c substitute any ordered pair into the equation

using (0, - 2 ) , then

- 2 = - 3(0) + c = 0 + c ⇒ c = - 2

y = - 3x - 2 ← function rule

Answer:

y = - 3x - 2

Step-by-step explanation:

The ratio of students who wish they had x-ray vision to all students: 2:9

The ratio of students who wish for flight to all students: 3:1

The ratio of students who wish for flight to those who wish for invisibility: 6:1

1. The ratio of students who wish they had x-ray vision to all students: 2:9

This means that out of a group of students, there are 2 students who wish they had x-ray vision for every 9 students in total.

2. The ratio of students who wish for flight to all students: 2:3

This ratio indicates that out of a group of students, there are 2 students who wish for the ability to fly for every 3 students in total.

3. The ratio of students who wish for flight to those who wish for invisibility: 1:6

This ratio compares the number of students who wish for flight to the number of students who wish for invisibility. It states that for every student who wishes for flight, there are 6 students who wish for invisibility.

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Answer:

(3, - 28)

Step-by-step explanation:

f(x) = 4x² - 24x + 8

\(x = - \frac{ - 24}{2 \times 4} \)

x = 3

f(3) = -28

= (3, -28)

The values of x = -9/19, y = -14/19, and z = 15/19 in linear system of equation S.

What is linear system of equation?

A system of linear equations (also known as a linear system) in mathematics is a grouping of one or more linear equations involving the same variables.

Suppose as given equations are,

x + 2y + 5z = 2                      ......(1)

3x + y + 4z = 1                       ......(2)

2x - 7y + z = 5                       ......(3)

Written in Matrix format as follows:

AX = Z

\(\left[\begin{array}{ccc}1&2&5\\3&1&4\\2&-7&1\end{array}\right] \left[\begin{array}{c}x&y&z\end{array}\right]=\left[\begin{array}{c}2&1&5\end{array}\right]\)

Apply operations as follows:

R₂ → R₂ - 3R₁, R₃ → R₃ - 2R₁

\(\left[\begin{array}{ccc}1&2&5\\0&-5&-11\\0&-11&-9\end{array}\right] \left[\begin{array}{c}x&y&z\end{array}\right]=\left[\begin{array}{c}2&-5&1\end{array}\right]\)

R₃ → 5R₃ - 11R₁

\(\left[\begin{array}{ccc}1&2&5\\0&-5&-11\\0&0&76\end{array}\right] \left[\begin{array}{c}x&y&z\end{array}\right]=\left[\begin{array}{c}2&-5&60\end{array}\right]\)

Solve equations,

x + 2y + 5z = 2                ......(4)

-5y - 11z = -5                    ......(5)

76z = 60                          ......(6)

From equation (6),

z = 60/76

z = 15/19

Substitute value of z in equation (5) to evaluate y,

-5y - 11(15/19) = -5

5y + 165/19 = 5

5y = -70/19

y = -14/19

Similarly, substitute values of y and z equation (4) to evaluate the value of x,

x + 2y + 5z = 2

x + 2(-14/19) + 5(15/19) = 2

x = 2 + 28/19 - 75/19

x = -9/19

Hence, The values of x = -9/19, y = -14/19, and z = 15/19 in linear system of equation S.

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The  need more information, such as the lengths of the sides of triangle ALAD or any other pertinent measurements, to calculate the area of triangle JOE, which is produced by joining the midpoints of each side of triangle ALAD.

Without this knowledge, we are unable to determine the area of triangle JOE.It is important to note that the area of triangle JOE would be one-fourth of the area of triangle ALAD if triangle JOE were to be constructed by joining the midpoints of its sides. The Midpoint Triangle Theorem refers to this. Triangle JOE's area would be 1/4 * 36 cm2, or 9 cm2, if the area of triangle ALAD is 36 cm2.

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Answer:

2.899

Step-by-step explanation:

The formula for calculating the distance between two points P(x1, y1) and (x2, y2) is expressed as:

D = √(x2-x1)²+(y2-y1)²

Given the points (2,-2) and (1,x) and the distance between the point as 5, we are to get x. To get x we will substitute the points and the distance given into the formula.

Given x1 = 2, y1 = -2, x2 = 1, y2 = x and D = 5

On substitution:

5 = √(1-2)²+(x-(-2))²

5 = √1²+(x+2)²

5 = √1+(x+2)²

Square both sides of the equation

5² = (√1+(x+2)²)²

25 = 1+(x+2)²

(x+2)² = 25-1

(x+2)² = 24

Square both sides

√(x+2)² = √24

x+2 = √24

x = √24- 2

x = 4.899-2

x = 2.899

Hence the other value is 2.899

The answer is 9, letter B.

To organize the provided data, we can create a table comparing the samples of couples with children (sample 1) and childless couples (sample 2) as follows:

Sample Sample Size Sample Mean Sample Standard Deviation

1 78 51.1 4.7

2 94 45.2 12.1

In this table, we have listed the sample number (1 and 2), the sample size (number of couples in each group), the sample mean (average Marital Satisfaction Inventory score), and the sample standard deviation (measure of variability in the scores) for each group. This organization allows us to compare the data and proceed with hypothesis testing on the difference in population means between the two groups.

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