Tasha sold her shoes for $25 and then bought a hat for $15. What is the expression??

Answer:

-22=22

Step-by-step explanation:

3,5-5,7=

-22/22

The equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

To find the equation of the line passing through the midpoint R and the points P and Q, we first need to find the coordinates of the midpoint R. The midpoint coordinates can be found by taking the average of the x-coordinates and the average of the y-coordinates of P and Q.

The x-coordinate of the midpoint R is (3 + (-5)) / 2 = -1/2.

The y-coordinate of the midpoint R is (5 + 7) / 2 = 6.

So, the coordinates of the midpoint R are (-1/2, 6).

Next, we can use the two-point form of the equation of a line, which states that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by:

(y - y₁) = (y₂ - y₁) / (x₂ - x₁) \(\times\) (x - x₁)

Substituting the coordinates of R (-1/2, 6) and P (3, 5) into the equation, we have:

(y - 6) = (7 - 5) / (-5 - 3) \(\times\)(x - (-1/2))

Simplifying the equation:

(y - 6) = (2 / -8) \(\times\)(x + 1/2)

(y - 6) = -1/4 \(\times\)(x + 1/2)

4(y - 6) = -x - 1/2

Therefore, the equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

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For a line with a slope a and a known point (h, k), the point-slope form is:

y = a*(x - h) + k

A general linear equation can be written in slope-intercept form as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If we know that a line passes through a point (h, k), then the point-slope form of that line is:

y = a*(x - h) + k

Notice that particularly, the y-intercept can be written as (0, b), then the slope-intercept form is also a point-slope:

y = a*(x - 0) + b

y = a*x + b

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-25

1) To evaluate this expression, given the value of n. We need to plug it into the expression

n² -9n -7 Plug into that n=6

(6)² -9(6) -7 Distribute the factors

36 -54-7 Add/ Subtract

36-61

-25

2) Hence, the answer is -25

The expected value for the amount of money made selling all of the candy in one bag is $15, and the standard deviation is approximately $24.33.

The standard deviation is a measurement of how widely apart a set of numbers or statistics are from their mean.

The expected value for the amount of money made selling all of the candy in one bag can be found by;

Expected value = mean number of candy bars per bag x price per candy bar

Expected value = 12 x $1.25 = $15

Formula for the standard deviation of a product of random variables:

\(SD (XY) = \sqrt{((SD(X)^2)(E(Y^2)) + (SD(Y)^2)(E(X^2)) + 2(Cov(X,Y))(E(X))(E(Y)))}\)

where X and Y are random variables, SD is the standard deviation, and Cov is the covariance.

X is the number of candy bars in a bag, which has a mean of 12 and a standard deviation of 2. Y is the price per candy bar, which is a constant $1.25. So we have:

E(Y²) = $1.25² = $1.5625

E(X²) = (SD(X)²) + (E(X)²) = 2² + 12² = 148

Cov (X,Y) = 0 (because X and Y are independent)

Using these values, we can calculate the standard deviation for the amount of money made selling all of the candy in one bag:

\(SD = sqrt((2^{2} )(148) + (0)(12)(1.25)^{2} + 2(0)(2)(12)(1.25))\)

SD = √(592)

SD ≈ $24.33

Therefore, the expected value for the amount of money made selling all of the candy in one bag is $15, and the standard deviation is approximately $24.33.

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Answer:

\(Hi!~I~am~beinggreat78~and~I~will~help~you.\\\)

To solve problems, you first must find the source of the conflict, and attempt to let the situation play out, or use a strategy yourself. To solve math problems, go by PEMDAS.

With this strategy, PEMDAS, you can solve math problems quickly, and like a pro!

You have the maximum diameter, so with it you finde tghe maximum area

Answer:

x^2+y^2=5

25x^2+25y^2=1

x^2+y^2=0.25

x^×+y^2=0.0025

Answer:

w=15

Step-by-step explanation:

2w-5=30

2×15-5=30

30-5=25

w=15

The distance it will take to drive from Toronto to buffalo (distance between Toronto and buffalo is 154km) is 1.75 hours.

We are given that;

distance = 154 km speed = 88 km/hr

Now,

we need to use the formula:

time = distance / speed

where time is in hours, distance is in kilometers, and speed is in kilometers per hour.

Plugging these values into the formula, we get:

time = 154 / 88 time ≈ 1.75

Therefore, by speed the answer will be 1.75 hours.

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Answer:

ummmm

Step-by-step explanation:

both of your images are blocked

In the quadrilateral ACDE, we can identify two congruent angles: angle CDA and angle C'EA.

In the given diagram, we have ACDE as a quadrilateral, and we know that CD is congruent to CE. To identify two congruent angles, let's examine the properties of the quadrilateral.

Since ACDE is not specified to be a particular type of quadrilateral (such as a parallelogram or rectangle), we cannot directly infer congruent angles from its properties.

However, we can make use of some general properties of quadrilaterals to identify two congruent angles. One property is that the sum of the interior angles of a quadrilateral is always 360 degrees.

Let's consider angle C as one of the angles in ACDE. Since CD is congruent to CE, we can denote angle CDE as angle C' to represent the congruent angles.

Now, using the property that the sum of the interior angles of a quadrilateral is 360 degrees, we can express the relationship between the angles of ACDE as:

∠ACD + ∠CDE + ∠DEA + ∠EAC = 360 degrees

Since CD is congruent to CE, angles CDA and CEA are also congruent (opposite angles in a quadrilateral). So, we can rewrite the equation as:

∠ACD + ∠CDA + ∠C'EA + ∠EAC = 360 degrees

Since we want to identify two congruent angles, let's focus on angles CDA and C'EA. These two angles are formed by the intersection of the congruent sides CD and CE with different adjacent sides.

Therefore, we can conclude that angles CDA and C'EA are congruent in ACDE.

In summary, in the quadrilateral ACDE, we can identify two congruent angles: angle CDA and angle C'EA.

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Answer:

Step-by-step explanation:

1 L = 1000 mL

1 mL = 1/1000 L

= > 40000/1000 = 40L ...ans

The number of degrees below zero is given by A = 56° F

Regardless of the sign, a modulus function returns the magnitude of a number. The absolute value function is another name for it.

It always gives a non-negative value of any number or variable. Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → (0,∞) and x ∈ R.

The value of the modulus function is always non-negative. If f(x) is a modulus function , then we have:

If x is positive, then f(x) = x

If x = 0, then f(x) = 0

If x < 0, then f(x) = -x

Given data ,

Let the initial temperature be represented as T

Let the number of degrees below zero be A

Now , the value of T is

T = -56° F

From the modulus function , we get

The value of the modulus function is always non-negative.

So , the measure of A = | T |

A = | -56 |

A = 56° F

Hence , the number of degrees below zero is 56° F

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Therefore, the horizontal distance the golf ball travels before hitting the ground is approximately 254.55 meters.

In mathematics, an equation is a statement that shows the equality between two expressions, typically separated by an equal sign (=). An equation can contain one or more variables, which are symbols that represent unknown or varying values. The value of the variable(s) can be found by solving the equation.

Here,

The equation of the parabolic trajectory of the golf ball is given by:

f(x) = 0.84x - 0.0033x²

where x is the horizontal distance travelled by the ball and f(x) is the corresponding height at that distance. To find the highest point of the trajectory, we need to find the vertex of the parabola. The x-coordinate of the vertex is given by:

x = -b / 2a

where a and b are the coefficients of the quadratic term and the linear term in the equation of the parabola, respectively. In this case, we have:

a = -0.0033 and b = 0.84

Substituting these values into the formula, we get:

x = -0.84 / 2(-0.0033)

= 127.27

So the horizontal distance at the highest point of the trajectory is approximately 127.27 meters. To find the height of the highest point, we substitute this value of x into the equation of the parabola:

f(127.27) = 0.84(127.27) - 0.0033(127.27)²

f(127.27) ≈ 21.67

So the highest point of the trajectory is approximately 21.67 meters above the ground.

To find the horizontal distance the golf ball travels before hitting the ground, we need to find the two values of x where the height of the ball is zero (i.e., where the ball hits the ground). We can set f(x) = 0 and solve for x:

0 = 0.84x - 0.0033x²

0.0033x² = 0.84x

x = 0 or x = 254.55

So the golf ball hits the ground twice, once at x = 0 (i.e., where it was hit from the tee) and once at x ≈ 254.55 meters.

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The first ten terms of the Lucas sequence are 2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.

The Lucas sequence or Lucas series are an integer sequence named after the mathematician francois Edouard Lucas, which are similar to the Fibonacci numbers, each Lucas number is defined to be the sum of its two immediate previous terms, thereby forming a fibonacci integer sequence.

Now, the sequence of first 10 numbers of Fibonacci series are-

0, 1, 1 ,2, 3, 5, 8, 13, 21, 34

which are defined as set of integers that starts with zero, followed by a one,then by another one and then by series of steadily increasing numbers,The sequence follow the rule that each number is equal to the sum of preceding two numbers.

And the sequence of Lucas sequence is -

2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.

which is definedas  the sum of its two immediate previous terms.

The Lucas number may thus be defined as follows;

Ln =    \(\left \{ {{2} ; if n= 0 \atop {1}; if n = 1} \right.\)

Here we can see that Lucas series starts with 2 and 1 whereas Fibonacci series starts with 0 and 1.

Hence,The first ten terms of the Lucas sequence are 2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.

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In the provided text is a questionnaire or form related to a research tool for assessing a campaign in the community.

The first question asks whether the campaign pursues its aims, with the options of answering "YES" or "NO." The respondent is then instructed to elaborate on their answer.

A questionnaire is a research tool   used to collect data by presenting a series of questions to respondents,typically in a written format.

Questionnaires are an important research tool as they allow researchers to gather   large amounts of data from a large number of participants in   a standardized and efficient manner.

They provide a structured approach to collecting information,allowing for easy analysis and comparison   of responses.

Questionnaires can be used in various   research settings and are particularly useful for collecting quantitative data,measuring attitudes, opinions, behaviors, and gathering demographic information.

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Answer:

.

Step-by-step explanation:

2c-5

Where c is the number of miles that courtney walked.

The expression represents 2 times the number of miles Courtney walked minus 5 miles-

So, the correct answer is :

Alicia walked 5 miles fewer than 2 times the number of miles c, Courtney walked (option B)

Answer:

I would say about 5 or 6 hours.

Step-by-step explanation:

Answer:

12 - 6n

Step-by-step explanation:

As this sequence decreases, rather than increases, this tell us that the nth term of this sequence will be minus. The difference from 6 and 0 is 6, telling us that the decrease is by 6 each time. So now we know the nth term of this sequence; -6n, but the sequence of -6n is -6,-12,-18 and so on. We need 6,0,-6. To find out the second part of the nth term find the difference from the sequence given and the sequence of -6n. The difference is 12 because the 6--6 = 12. So now we get the nth term of the sequence -6n + 12 which is written as 12-6n.  

Answer:

1/16

Step-by-step explanation:

one half raised to the power of to eight = one sixteen

The mean absolute deviation of Robin's scores is 5.2.

The mean absolute deviation (MAD) is the mean (average) distance between each data value and the mean of the data set.

To determine the MAD, we subtract the mean of the data set from each data value and sum the absolute values obtained.

Then we divide the sum of the absolute values by the number of the data values to determine the mean absolute deviation.

Robin's Scores   Distance from the Mean

99                              8

108                             1

102                             5

107                             0

119                             12

Sum =                      26

Number of Data Values = 5

The mean = 107 since 107 - 107 = 0

Mean Absolute Deviation (MAD) = 26/5 = 5.2

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Answer:

To convert 7.55 dollars into dimes and quarters, we need to make use of the fact that there are 10 dimes in a dollar and 4 quarters in a dollar. Here's how to do it:

Step-by-step explanation:

1. First, convert the dollar amount into cents: 7.55 dollars x 100 cents/dollar = 755 cents.

2. Next, use long division to find how many quarters are in 755 cents: 755 ÷ 25 = 30 with a remainder of 5.

3. The quotient of 30 tells us that we can use 30 quarters, which equals $7.50.

4. The remainder of 5 cents is less than a quarter, so we cannot use another quarter. Instead, we can use 1 dime, which is worth 10 cents.

Therefore, 7.55 dollars is equivalent to 30 quarters and 1 dime.

The dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is 75 square meters

What is measurement?

Measurement is the process of assigning numerical values to physical quantities, such as length, mass, time, temperature, and volume, in order to describe and quantify the properties of objects and phenomena.

Let's assume that the rock wall is the width of the garden and the wire fencing is used for the length and the other two sides. Let's denote the length of the garden as L and the width as W.

Since we have 30 meters of fencing available, the total length of wire fencing used is:

L + 2W = 30 - W

Simplifying this equation, we get:

L = 30 - 3W

The area of the garden is:

A = LW

Substituting the expression for L from the previous equation, we get:

A = W(30 - 3W)

Expanding the expression, we get:

A = 30W - 3W²

To find the maximum area, we need to take the derivative of A with respect to W and set it equal to zero:

dA/dW = 30 - 6W = 0

Solving for W, we get:

W = 5

Substituting this value back into the expression for L, we get:

L = 15

Therefore, the dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is:

A = 5(15) = 75 square meters

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Answer:

People on the cover are usually there for outstanding performances. Because they are so far from the​ mean, the performance in the next year is likely to be closer to the mean.

Step-by-step explanation:

We are told that frequently, their performances then falter​ somewhat, after they are pictured on the cover of Sports Illustrated."

Also, we are told it's common for phenomenal rookies to have less stellar second​ seasons, which is called "sophomore​ slump."

Now, this could be due to pressure and the need to prove themselves.

Now, someone to be on the cover of Sports Illustrated, it doesn't neccesarily imply that such a person is the absolute best. It just implies that their performance was far better than how they normally perform. This may be due to either real skill, heavy training or a luck.

However, the most comprehensive reason is that;

People on the cover are usually make it there due to their outstanding performances. Thus, because they are so far from the​ mean, the performance in the following year is likely to be closer to the mean.

Answer:

(a)123 km/hr

(b)39 degrees

Step-by-step explanation:

Plane X with an average speed of 50km/hr travels for 2 hours from P (Kano Airport) to point Q in the diagram.

Distance = Speed X Time

Therefore: PQ =50km/hr X 2 hr =100 km

It moves from Point Q at 9.00 am and arrives at the airstrip A by 11.30am.

Distance, QA=50km/hr X 2.5 hr =125 km

Using alternate angles in the diagram:

\(\angle Q=110^\circ\)

(a)First, we calculate the distance traveled, PA by plane Y.

Using Cosine rule

\(q^2=p^2+a^2-2pa\cos Q\\q^2=100^2+125^2-2(100)(125)\cos 110^\circ\\q^2=34175.50\\q=184.87$ km\)

SInce aeroplane Y leaves kano airport at 10.00am and arrives at 11.30am

Time taken =1.5 hour

Therefore:

Average Speed of Y

\(=184.87 \div 1.5\\=123.25$ km/hr\\\approx 123$ km/hr (correct to three significant figures)\)

(b)Flight Direction of Y

Using Law of Sines

\(\dfrac{p}{\sin P} =\dfrac{q}{\sin Q}\\\dfrac{125}{\sin P} =\dfrac{184.87}{\sin 110}\\123 \times \sin P=125 \times \sin 110\\\sin P=(125 \times \sin 110) \div 184.87\\P=\arcsin [(125 \times \sin 110) \div 184.87]\\P=39^\circ $ (to the nearest degree)\)

The direction of flight Y to the nearest degree is 39 degrees.

With the help of a linear equation, we know that 182 gallons of water would be used to wash 14 loads.

So, gallons of water used to wash 14 loads are:

Therefore, with the help of a linear equation, we know that 182 gallons of water would be used to wash 14 loads.

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The standard error represents the average deviation of the sample means from the true population mean. Rounding this value to four decimal places, the standard error of X¯¯¯ is approximtely 0.6500 mpg.

A smaller standard error indicates that the sample means are more likely to be close to the population mean.To calculate the standard error of X¯¯¯, the mean from a random sample of 25 fill-ups by one driver, we can use the formula:

Standard Error (SE) = σ / sqrt(n),

where σ is the standard deviation and n is the sample size.

In this case, the standard deviation (σ) is given as 3.25 mpg, and the sample size (n) is 25.

Plugging in these values into the formula, we have:

SE = 3.25 / sqrt(25).

Calculating the square root of 25, we get:

SE = 3.25 / 5.

Performing the division, we find:

SE ≈ 0.65.

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Answer:D. The atmosphere of Mars is twice as thick as scientists predicted it would be.

Step-by-step explanation:

Answer:

d. divide the population into groups; use simple random sampling to identify a proportionate number of individuals from each group

Step-by-step explanation:

Remember, a cluster represents a selection out of a group belonging to a larger population. Thus, cluster sampling includes the steps;

For example, A bus company wants to survey all its customers for a particular day, using cluster sampling, they will randomly select 10 trips that day and survey some or all the passengers on those trips.

Answer:

B

Step-by-step explanation: