Estimate 874,238 – 228,759 using front-end estimation. (please help it counts as a test worth 50% of my grade) (I will give brainliest)

Answer:

$10.50

Step-by-step explanation:

Note:

5 Bag = $17.50

3 Bag = x

Solution:

First we need to know how much would one bag of cat food is..

To Find that we need to do

K = y/x   also know as Answer = Cost/Food

17.50/5=3.50

Hence, One bag of cat food is $3.50

Now,

$3.50 x 3(Bags) =$10.50

Thurs, 3 bags of cat food is $10.50.

Answer:

s-(t+r)

Step-by-step explanation:

Solution:

Given:

Let one leg be represented by x.

Hence,

The right triangle can be represented as shown below;

To solve for x, we use the Pythagoras theorem.

Hence,

Solving the quadratic equation by formula method,

For the equation,

Substituting these values into the formula,

Since we are dealing with the length of a triangle, we discard the negative value.

Hence,

The length of one side is 3.29

The other side that is 4 feet longer will be,

Therefore, the length of each leg to the nearest hundredth of a foot is;

The approximate number of downloads at a price of $0.54 per song is 1910.5

As the problem given we have The table shows the price per song and the number of songs downloaded per day at that Price per Song.

Price per song                                        number of songs

                                                                downloaded per day at that price

$0.89                                                         1,212

$0.79                                                          1704

$0.69                                                          1760

$0.59                                                          1877

$0.49                                                          1944

$0.39                                                          2011  

The formula for the linear interpolation process y = y1 + ((x – x1) / (x2 – x1)) * (y2 – y1), where x is the known value, y is the unknown value. x1 and y1 are the coordinates that are below the known x value, and x2 and y2 are the coordinates that are above the x value.

here x1= 0.49  y1= 1944    x2= 0.59   y2=1877 x=0.54

y=1944+((0.54-0.49)/(0.59-0.49))*(1877-1944)

y=1944-33.5=1910.5

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Answer:

Answer Choice A: -1.8

Step-by-step explanation:

That's the closest to a middle value between -3.8 and 0 on the number line of the answer choices given.

To simplify the given difference quotient for the function f(x) = 2x^2 - x + 3, we substitute the expressions for f(x+h) and f(x) into the formula and simplify the expression.

The difference quotient is given by (f(x+h) - f(x))/h.

Substituting f(x) = 2x^2 - x + 3, we have:

(f(x+h) - f(x))/h = [(2(x+h)^2 - (x+h) + 3) - (2x^2 - x + 3)]/h

Expanding and simplifying the numerator:

= [(2(x^2 + 2xh + h^2) - x - h + 3) - (2x^2 - x + 3)]/h

= [2x^2 + 4xh + 2h^2 - x - h + 3 - 2x^2 + x - 3]/h

= (4xh + 2h^2 - h)/h

Now, we can simplify further by canceling out the common factor 'h':

= 4x + 2h - 1

Therefore, the simplified difference quotient for the function f(x) = 2x^2 - x + 3 is 4x + 2h - 1.

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The domain of fog is equal to [-1,2].

What is the domain of a function?

⇒ The domain of a function is the set of numbers x for which the function is defined validly. If a function is defined over a range a ≤ x ≤ b, we say its domain is x∈[a,b]

What is a composite function?

⇒ A composite function of two functions combines the given two functions in the given order. i.e., for any given two functions f(x) and g(x), there can be 4 composite functions: f(g(x)) which is substituting g(x) into f(x) g(f(x)) which is substituting f(x) into g(x)

For Finding the Domain of a Composite Function

Calculation:

Given f(x)=√2-x and g(x)=x²-x

∴(fog)x=f{g(x)}=f{x²-x}

f{g(x)}=\(\sqrt{2-x^{2}+x\)

⇒ \(\sqrt{-x^{2}+x+2\)

⇒\(\sqrt{-x^{2}+2x-x+2\)     ( splitting the middle term)

⇒ \(\sqrt{-x^{2}-x+2x+2\)

⇒ \(\sqrt{-x(x+1)+2(x+1)\)    (grouping the terms)

⇒ \(\sqrt{(-x+2)(x+1)}\)      (taking out the common term (x+1))

The domain of a function is all the values x can take. Here x is inside the square root, x cannot take negative values as it will lead to imaginary roots. Therefore we have

⇒ (-x+2)(x+1)≥0 which implies x = 2 or x = -1 when the inequality is equal to 0.

We will check if the inequality is true in the three intervals x>2, between -1 and 2, and x taking values to the left of -1.

We will take three x values say x = -2,0 and 3. Then we have

for x = -2 we have the result as -4 which is negative. Inequality doesn't hold

for x = 0 we have the result 2 which is positive Inequality holds

for x = 3 we have the result -4 which is negative. Inequality doesn't hold.

Therefore the inequality holds in the interval [-2,3]

Therefore we have -2≤x≤3

⇒ Therefore the domain of fog is [-1,2]

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Answer:

We can use the ratio of proportional sides to help us solve the question.

m        4

---- = -----

3         2

Using cross products

2*m = 4*3

2m = 12

Divide each side by 2

2m/2 = 12/2

m = 6

The value of m that makes the triangles similar is 6

Step-by-step explanation:

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Answer:

$360.00

because to find a percent you multiply 400 by .9

The given expression is b/4 −5/b =1/2 . We need to solve this expression using the quadratic formula. We can write the above equation as:b²/4 - 5 = b/2

= 0Now, compare the equation with standard quadratic equation:ax² + bx + c = -20Substituting these values in the quadratic formula: x

= {-(-2) ± sqrt [(-2)² - 4(1)(-20)]} / 2(1)x

= {2 ± sqrt [4 + 80]} / 2x

= (2 ± sqrt84) / 2x

= 1 ± sqrt21 The solutions of the given equation are b

= 1 + sqrt21 and b

= 1 - sqrt21.

The solutions of the given equation are b = 5.582 and b

= -3.582 (rounded to three decimal places).The answer is the solutions of the given equation are b = 1 + sqrt21 and b = 1 - sqrt21 and the approximate solution is b = 5.582 and b

= -3.582 (rounded to three decimal places).

Substituting these values in the quadratic formula, we get: x = {-(-2) ± sqrt [(-2)² - 4(1)(-20)]} / 2(1)The solutions of the given equation are b = 1 + sqrt21 and b

= 1 - sqrt21 and the approximate solution is b

= 5.582 and b

= -3.582 (rounded to three decimal places).

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Answer:

98 units.

Step-by-step explanation:

Circumference = 2 * pi * radius

615.44 = 2 * 3.14 * r

r = 615.44 / (2 * 3.14)

 =2 * 3.14

 = 98 units.

Answer:

0.65

Step-by-step explanation:

The parametric equation of the line which is the intersection of the planes - x+3y+z=7 and x+y=1 is-  x= 1- t,  y= t,  z= 8- 4t.

Given:  -x+3y+z=7      - (i)

            x+y=1            - (ii)

Rearrange the equation (i) and (ii),

we get,   -x+3y+z-7=0   -(iii)

               x+y-1=0       -(iv)

To find the parametric equation of the line, solve the equation (iii) and (iv) simultaneously,

On solving the equation simultaneously we get,

4y+z-8=0

arrange this equation,  z=8-4y   -(v)

Let y=t     -(vi)

putting the value of y in equation (v)

so we get,  z=8-4t     -(vii)

putting the value of y and z in equations (iii) or (iv)

-x+3t+8-4t-7=0

x=1 -t

Therefore the parametric equation of the line which is the intersection of the planes -x+3y+z=7 and x+y=1  are x = 1 - t, y = t, z = 8 - 4t.

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Based on the calculations using the midpoint rule, the value of point S is equal to (10, 12).

A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.

In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and divide by two (2).

Midpoint on x-coordinate is given by:

xm = (x₁ + x₂)/2

3 = (-4 + x₂)/2

Cross-multiplying, we have:

6 = -4 + x₂

x₂ = 6 + 4

x₂ of S = 10.

Midpoint on y-coordinate is given by:

ym = (y₁ + y₂)/2

3 = (-6 + y₂)/2

Cross-multiplying, we have:

6 = -6 + y₂

y₂ = 6 + 6

y₂ of S = 12.

Therefore, point S is equal to (10, 12).

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The standard deviation of quiz scores is 0.

To find the standard deviation:

Therefore, the standard deviation of quiz scores is 0.

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Answer:

i would say 18/24

Step-by-step explanation:

Answer:

y= -2/3x-3

Step-by-step explanation:

Given the probabilities P(A) = 0.7, P(Ac) = 0.3, P(B|A) = 0.4, and P(B|Ac) = 0.8, the joint probabilities can be calculated as follows: P(A and B) = 0.28, P(A and Bc) = 0.42, P(Ac and B) = 0.12, and P(Ac and Bc) = 0.18.

The joint probability P(A and B) represents the probability of events A and B occurring simultaneously. It can be calculated using the formula P(A and B) = P(A) * P(B|A). Given that P(A) = 0.7 and P(B|A) = 0.4, we can multiply these probabilities to obtain P(A and B) = 0.7 * 0.4 = 0.28.

It can be calculated as P(A and Bc) = P(A) * P(Bc|A). Since the complement of event B is denoted as Bc, and P(Bc|A) = 1 - P(B|A), we can calculate P(A and Bc) as P(A) * (1 - P(B|A)) = 0.7 * (1 - 0.4) = 0.42.

Finally, P(Ac and Bc) represents the probability of both event A and event B not occurring. It can be calculated as P(Ac and Bc) = P(Ac) * P(Bc|Ac). Using P(Ac) = 0.3 and P(Bc|Ac) = 1 - P(B|Ac), we can calculate P(Ac and Bc) as P(Ac) * (1 - P(B|Ac)) = 0.3 * (1 - 0.8) = 0.18.

Therefore, the joint probabilities are: P(A and B) = 0.28, P(A and Bc) = 0.42, P(Ac and B) = 0.24, and P(Ac and Bc) = 0.18.

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Answer:

A

Step-by-step explanation:

The answer is up ahead

The causes of variation that can be identified and eliminated are called; Assignable Causes.

There are two primary causes of variation in the quality of a product or process. These two primary causes are called;

Now, Common causes of variation are defined as random causes that we cannot identify. However, Assignable causes of variation are those that can be identified and eliminated.

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To find a value of c such that P(z ≥ c) = 0.55, we need to use a standard normal distribution table or calculator.From the standard normal distribution table, we find that the z-score corresponding to a right-tailed area of 0.55 is approximately 0.126.

Therefore, we have:

P(z ≥ c) = 0.55

P(z ≤ c) = 1 - P(z ≥ c) = 1 - 0.55 = 0.45

Using the standard normal distribution table, we find that the z-score corresponding to a left-tailed area of 0.45 is approximately -0.126.

So, c = -0.126.

Therefore, the value of c that satisfies P(z ≥ c) = 0.55 is approximately -0.126.

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By dividing the angle of rotation by the duration of one rotation, the angular velocity of the Earth around its axis can be determined. The time it takes the Earth to complete one full rotation, which is equivalent to 360 degrees or 2 radians, is roughly 24 hours.

Angle change divided by time change equals angular velocity (v), as follows:

ω = θ / t

We can substitute the following values into the equation since the Earth completes one rotation every 24 hours:2 radians each day equals.

By multiplying by 3600 (the amount of seconds in an hour), we may convert the time from hours to seconds:

2 radians are equal to (24 hours * 3600 seconds/hour)

Condensing the equation:

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The four types of data in excel are text type, number type, logical and error type.

Excel data types are the four different kinds of values in Microsoft Excel. The four types of data are text, number, logical and error.

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There are total 5005 number of ways or combinations to choose six member for a committee.

According to the given question.

Total number of memebers in a club, n = 15

Total number of members to be selected to form a committee, r = 6

As we know that the total number of ways or combination of selecting

'r ' objects at a time from 'n' number of objects is given by

C(n, r) = n!/(n-r)!r!

Therefore,

The total number of ways to form a committee of 6 members from 15 is given by

C(15, 6)

= 15!/6!(15 - 6)!

= 15!/6!9!

= 5005

Hence, there are total 5005 number of ways or combinations to choose six member for a committee.

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The standard deviation measures the spread of data points around the mean. It considers all data points, not just the farthest or nearest ones. A higher standard deviation indicates a greater spread.

The standard deviation is a statistical measure that tells us how much the data points in a set vary from the mean. It provides information about the spread or dispersion of the data. To calculate the standard deviation, we take the square root of the variance, which is the average of the squared differences between each data point and the mean.

By considering all data points, the standard deviation provides a comprehensive measure of how spread out the data is. Therefore, the statement "The difference between the mean and the data point farthest from the mean" is incorrect, as the standard deviation does not focus on just one data point.

The statement "The difference between the mean and the data point nearest to the mean" is also incorrect because the standard deviation takes into account the entire data set. The statement "The difference between the mean and the median" is incorrect as well, as the standard deviation is not specifically related to the median.

Hence, the correct answer is "None of the above."

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Answer:

140  square feet

Step-by-step explanation:

The total area can be calculated by splitting this irregular shape into two quadrilaterals.

In this case, I am splitting it horizontally, but you can do it vertically and get the same answer!

I'm left with a 10 by 8 ft rectangle and an 15 by 4 ft rectangle. So, the total area is equivalent to:

\(10*8 + 4*15\\80 + 60\\=140\)

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Answer:

i will answer in 2050 my bad

i just need the points rq

Step-by-step explanation:

n/a

The surface area of the rectangular prism is 88 square inches.

Given that:

Length, L = 6 inches

Width, W = 2 inches

Height, H = 4 inches

Let the prism with a length of L, a width of W, and a height of H. Then the surface area of the prism is given as

SA = 2(LW + WH + HL)

SA = 2(6 x 2 + 2 x 4 + 4 x 6)

SA = 2 (12 + 8 + 24)

SA = 2 x 44

SA = 88 square inches

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