Yaneev thinks of a number y. He subtracts three from the number, then doubles it. What is the final result, in terms of y?

1) Given that MN is the midsegment, it means that

MN = 1/2(WZ + XY)

MN = 1/2(11 + 3) = 1/2 * 14

MN = 7

2) The base angles are congruent. This means that

angle WZN = angle XWZ = 78

The top angles are equal. The sum of the base angles is 78 + 78 = 156

Since the sum of all the angles is 360, the sum of each top angle is

(360 - 156)/2 = 102 degrees. This means that

angle WXY and angle ZYX = 102

Angle XMN and angle XWN are congruent. This is because they are corresponding angles. thus,

angle XMN = 78 degrees

3) Recall, MN = 1/2(WZ + XY)

If MN = 10 and WZ = 14, then

10 = 1/2(14 + XY)

10 * 2 = 14 + XY

20 = 14 + XY

XY = 20 - 14

XY = 6

4) Recall that angle MWZ = angle WZN because they are the base angles. Given that angle MWZ = 15x - 5 and angle WZN = 90 - 4x, it means that

15x - 5 = 90 - 4x

15x + 4x = 90 + 5

19x = 95

x = 95/19

x = 5

Answer:

Here we need to use the relation:

Distance = rate×time

Where "rate" is the speed at which the dolphin moves.

To answer different questions.

A) Dividing both sides by "time" we can rearrange the above relation to get:

rate = distance/time

B) We know that the dolphin swims 665,280 feet in 3 hours, then:

distance =  665,280 feet

time = 3 hours

Then the rate is

C) Now we want to rewrite the equation in miles per hour.

To do it, we need to use the relation:

1 mi = 5280 ft

Then we can rewrite the rate as:

That one is the rate in miles per hour.

D) Which one makes more sense to use?

The second one is a way simpler number (to read and to use in other equations) so we should use the rate in miles per hour.

Hope this helps:)

Brainly plz.

Answer: m = 3.89

Step-by-step explanation:

(3m/5)+(m/2) =(4/1)+(2/5)

= (taking LCM) (6m+5m)/10 = (20+1)/5

or, 11m/10 = 21/5

or, 55m = 210

or, m = 210/55

so, m = 3.89

After deducting the amounts for Federal tax, Social Security, and other deductions, the net pay for working 40 hours at an hourly wage of $8.95 is $276.61. Option A.

To calculate the net pay, we need to subtract the deductions from the gross pay.

Given:

Hours worked = 40

Hourly wage = $8.95

Federal tax deduction = $35.24

Social Security deduction = $24.82

Other deductions = $21.33

First, let's calculate the gross pay:

Gross pay = Hours worked * Hourly wage

Gross pay = 40 * $8.95

Gross pay = $358

Next, let's calculate the total deductions:

Total deductions = Federal tax + Social Security + Other deductions

Total deductions = $35.24 + $24.82 + $21.33

Total deductions = $81.39

Finally, let's calculate the net pay:

Net pay = Gross pay - Total deductions

Net pay = $358 - $81.39

Net pay = $276.61

Therefore, the net pay for 40 hours worked at $8.95 an hour with deductions for Federal tax of $35.24, Social Security of $24.82, and other deductions of $21.33 is $276.61. SO Option A is correct.

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Note the correct and the complete question is

What is the net pay for 40 hours worked at $8.95 an hour with deductions for Federal tax of $35.24, Social Security of $24.82, and other deductions of $21.33?

A.) $276.61

B.) $326.25

C.) $358.00

D.) $368.91

From the above-mentioned data, it can be inferred that: When the price of good 1 decreases, the substitution effect causes the individual to change consumption of good 1 by 10 while the income effect causes the individual to change consumption of good 1 by −6.

The total effect can be calculated as the sum of both substitution and income effects. The total effect = substitution effect + income effect= 10 - 6= 4Thus, the total effect is 4.Now, to determine whether good 1 is normal or inferior, we need to consider the sign of the income effect.

If the income effect is negative, the good is inferior, and if it's positive, the good is normal.Since the income effect here is negative (-6), we can conclude that good 1 is inferior.

According to the given data, we can calculate the total effect, which is the sum of the substitution and income effects.  The substitution effect refers to the change in consumption of a good due to the relative price change, while the income effect refers to the change in consumption of a good due to the purchasing power change.  when the price of good 1 decreases, the substitution effect causes the individual to change consumption of good 1 by 10, while the income effect causes the individual to change consumption of good 1 by −6. Therefore, the total effect can be calculated as the sum of both substitution and income effects, which is 10 - 6 = 4.From the data, it can also be determined whether good 1 is normal or inferior. A good is considered normal when its income effect is positive and inferior when its income effect is negative. Since the income effect here is negative (-6), it can be concluded that good 1 is inferior.Thus, the total effect is 4, and good 1 is inferior.

The total effect is 4, and good 1 is inferior.

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Answer:

50 i think not sure what kind a question this is

To find the desired probabilities, we need to use the binomial probability formula and calculate the probabilities for each specific scenario. By rounding the answers to four decimal places, we can obtain the probabilities for each case requested in parts (a), (b), (c), and (d).

a) The probability that exactly 31 of the 46 randomly selected dogs are spayed or neutered can be calculated using the binomial probability formula:

P(X = k) = (n C k) * p^k * (1 - p)^(n - k)

Where:

n = number of trials (46 in this case)

k = number of successes (31 in this case)

p = probability of success (0.73, as stated in the question)

Using the formula, we can calculate:

P(X = 31) = (46 C 31) * (0.73)^31 * (1 - 0.73)^(46 - 31)

Calculating this expression yields the probability.

b) The probability that at most 33 of the 46 randomly selected dogs are spayed or neutered can be calculated by summing the probabilities of having 0, 1, 2,..., 33 dogs spayed or neutered. We can use the cumulative binomial probability for this:

P(X ≤ 33) = P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 33)

We can calculate each individual probability using the binomial probability formula as explained in part (a), and then sum them up to find the probability.

c) The probability that at least 31 of the 46 randomly selected dogs are spayed or neutered can be calculated by summing the probabilities of having 31, 32, 33,..., 46 dogs spayed or neutered. We can use the cumulative binomial probability for this:

P(X ≥ 31) = P(X = 31) + P(X = 32) + P(X = 33) + ... + P(X = 46)

We can calculate each individual probability using the binomial probability formula as explained in part (a), and then sum them up to find the probability.

d) The probability that between 28 and 34 (including 28 and 34) of the 46 randomly selected dogs are spayed or neutered can be calculated by summing the probabilities of having 28, 29, 30,..., 34 dogs spayed or neutered. We can use the cumulative binomial probability for this:

P(28 ≤ X ≤ 34) = P(X = 28) + P(X = 29) + P(X = 30) + ... + P(X = 34)

We can calculate each individual probability using the binomial probability formula as explained in part (a), and then sum them up to find the probability.

The probability of events in a binomial distribution can be calculated using the binomial probability formula. By applying the formula and performing the necessary calculations, we can find the probabilities of various scenarios involving the number of dogs that are spayed or neutered out of a randomly selected group of 46 dogs.

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The solution to the given system of linear equations is x = 4, y = 20

From the question, we are to determine solution to the given system of equations

The given system of equations is

x+y=6x=y+4

Thus, we can write that

x + y = 6x ----------- (1)

and

6x = y + 4 ------------(2)

Solve the two equations simultaneously

From equation (1)

x + y = 6x

y = 6x - x

y = 5x --------- (3)

Substitute into equation (2)

6x = y + 4

6x = 5x + 4

6x - 5x = 4

x = 4

Substitute the value of x into equation (3)

y = 5x

y = 5(4)

y = 20

Hence, the solution to the given system of linear equations is x = 4, y = 20

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Answer:

23

Step-by-step explanation:

-24÷-4= 6

x-17=6

x=6+17

x=23

Answer:

y = 2x+7

Step-by-step explanation:

y = mx + c

m = slope

c is the y intercept

so

y = 2x+ 7

Answer:

B x=60, y=60

Step-by-step explanation:

The triangle should equal 180 in total. It shows 60 already on top then you would add them all up 60+60+60=180 degrees.

Answer:

B

Step-by-step explanation:

x=60 and y=60.

Answer:

(a) aₙ = 22 + 6(n - 1)

(b) The 14th row has 100 seats

Step-by-step explanation:

1. (a) Remember that an arithmetic series has the general formula a + (n - 1)d. Here a = the first term, and d = difference between first and second term, or in other words the difference between the nth and (n + 1)th terms.

aₙ = 22 + 6(n - 1)

This is our iterative rule for this arithmetic series, aₙ = 22 + 6(n - 1).

(b) Here n = the row number. We want to know the row number that has 100 seats. Let's equate the expression '22 + 6(n - 1)' to 100, and solve for n.

100 = 22 + 6(n - 1),

100 = 22 + 6n - 6,

100 = 16 + 6n,

6n = 84,

n = 84 / 6 = 14

=> the 14th row has 100 seats

The price of the watch before the discount is calculated to be £24.44.

As the total price of the watch and a pair of trainers is £53. 55 and the price of the trainer before the discount was £38, we first calculate the price of the trainers after the discount as follows;

discount on a pair of trainers = 15/100 × 38 =  £5.7

cost of trainers after discount =  £38 - 5.7 =  £32.3

Now the price of the watch after the discount can be calculated by subtraction as follows;

price of watch after discount = total price - price of trainers after discount

price of watch after discount =  £53. 55 - £32.3

price of watch after discount = £21.25

Now the price of the watch before the discount can be calculated as follows;

price of watch before discount = £21.25 × 15/100

price of watch before discount = £21.25 + £3.1875

price of watch before discount = £24.44

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The probability of getting the color yellow when spinning a spinner with three equal sections colored red, white, and blue is 0%. Therefore, the correct answer is d) 0%.

Since the spinner has three equal sections colored red, white, and blue, and there is no section labeled yellow, it is not possible to obtain the color yellow when spinning the spinner. Each section has an equal chance of being landed on, but none of them represent the color yellow. Therefore, the probability of getting the color yellow is 0%. It's important to note that probability represents the likelihood of an event occurring, and in this case, the event of landing on the color yellow is not possible given the given information about the spinner. Therefore, the probability is 0%.

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The greatest number of baskets that can be made with 24 movies, 48 packages of popcorn, and 18 boxes of candy is 6.

This is determined by finding the greatest common factor (GCF) of each item. The GCF of 24, 48, and 18 is 6. This means that 6 is the greatest number of baskets that can be made if each basket has an equal number of each of the three items.

To calculate the GCF, the prime factors of each number must be determined. The prime factors of 24 are 2 and 3 (2 x 2 x 2 x 3). The prime factors of 48 are 2 and 3 (2 x 2 x 2 x 2 x 3). The prime factors of 18 are 2 and 3 (2 x 3 x 3).

To determine the GCF, the highest power of each prime factor must be determined. In this case, the highest power of each prime factor is 3 (2 x 2 x 2 x 3). Therefore, the GCF of 24, 48, and 18 is 6. This means that the greatest number of baskets that can be made with the given items is 6.

In conclusion, the greatest number of baskets that can be made with 24 movies, 48 packages of popcorn, and 18 boxes of candy is 6. This is determined by finding the greatest common factor (GCF) of each item. The GCF of 24, 48, and 18 is 6, which means that 6 is the greatest number of baskets that can be made if each basket has an equal number of each of the three items.

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Answer:

statement not complete

Solution given:

p(x)=0

-0.2x2 + 10x – 25=0

-0.2(x²-50x+125)=0

x²-2.25.x+25²=25²-125

(x-25)²=500

x-25=\( \sqrt{500} \)

x-25=±10√5

taking positive

x=22.3606+25

x=47.3606

taking negative

x= -22.3606+25

x=2.639

so

maximum profit Anthony will receive :47.3606*1000= 47360600(approach)

now

47360 .6 or 2639 parts he would need to sell to receive the maximum profit

Answer:

b. $9.96

Step-by-step explanation:

To solve this problem, let's first calculate how much Nina charges for shipping per painting. We'll divide the total shipping cost by the number of paintings sold.

When Nina sells 4 paintings and charges a total of $9.96 for shipping:

Shipping cost per painting = $9.96 / 4 = $2.49

When Nina sells 8 paintings and charges a total of $19.92 for shipping:

Shipping cost per painting = $19.92 / 8 = $2.49

We can see that regardless of the number of paintings sold, Nina charges $2.49 for shipping per painting.

Now let's calculate how much Nina charges for shipping 20 paintings and 16 paintings:

Shipping cost for 20 paintings = $2.49 * 20 = $49.80

Shipping cost for 16 paintings = $2.49 * 16 = $39.84

The difference in shipping charges for 20 paintings and 16 paintings is:

$49.80 - $39.84 = $9.96

Therefore, Nina charges $9.96 more for shipping 20 paintings than for shipping 16 paintings. The correct option is (b) $9.96.

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

2x2 is just 4 lol. I hope this helps lol

Answer:

-35

Step-by-step explanation:

Not in Option, actually because x=-11

if y=3(-11)-2

then y = -33-2

y = -35

Hello :)

We know that :

30g of cornflakes ⇒ 2.5g of fat

320g of cornflakes ⇒ xg of fat

x = 320 * 2.5 ÷ 30 ≈ 26.7 g of flat

Have a nice day!

Answer:

The first statement: "Her first mistake was in Step 2. She added 0.2 to each term instead of multiplying by 0.2."

Answer:

Center: (-9,16)

next time try using a app called math_way

Answer: the center is (-9,16)

It will take approximately 427 months or 35 years and 7 months for a sum of Rs. 9400 to become Rs. 10951.8 at the rate of 3 2/3% per annum.

Let the principal amount be Rs. 9400, rate of interest be 3 2/3 % per annum and the final amount be Rs. 10951.8

To find: The time required to become Rs. 10951.8

Step 1: Calculation of Interest:

Earned interest = Final amount - Principal amount = Rs. 10951.8 - Rs. 9400 = Rs. 1551.8

Step 2: Calculation of Time:

Time = (100 * Earned interest) / (Principal * Rate * 12/100)

Here, Principal = Rs. 9400,Rate = 3 ,2/3% per annum = (11/3)% per annum,

Time = (100 * 1551.8) / (9400 * (11/3) * 12/100)

= 100 * 1551.8 / 9400 * 11/3 * 12/100

= 15518 / 3636

= 15518/3636*100/100

= 426.906 or 426.91

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Answer:

t=p(unit pf weight)

Step-by-step explanation:

t=plbs

total price is the price time the lbs of feed

(unit of weight may change) depending on question

According to the given information k=300%.

The coordinate rule is a mathematical formula that determines the relationship between the coordinates of a point on a graph and its corresponding values.

1.  The given triangle has vertices A(3,6), B(3,9), and C(6,3). The scale factor is k=2/3. To dilate the triangle, multiply the coordinates of each vertex by the scale factor.

The image of vertex A is (2/3)(3,6) = (2,4). The image of vertex B is (2/3)(3,9) = (2,6). The image of vertex C is (2/3)(6,3) = (4,2).

Thus, the image of the triangle ABC after a dilation with a scaling factor of 2/3 is A'(2,4), B'(2,6) and C'(4,2).

Now plot this triangle on the graph taking the coordinates of each vertex correctly.

2. To graphically represent the triangle and its image after dilation with the scaling factor k = -2, we must apply the coordinate rule for dilation. The rule states that if a point (x,y) is dilated by the scale factor k, its image is (kx, ky).

The vertices of the triangle are D(-2,-1), E(3,1) and F(1,-3). To find the coordinates of their images after dilation with a scale factor of -2, we multiply the x-coordinate and the y-coordinate of each vertex by -2.

The coordinates of D' are (-2*-2, -1*-2) = (4, 2). The coordinates of E' are (3*-2, 1*-2) = (-6,-2). The coordinates of F' are (1*-2, -3*-2) = (-2,6).

So the vertices of the image triangle are D'(4, 2), E'(-6,-2) and F'(-2,6). We can now plot these points in a coordinate plane to obtain the graph of the original triangle and its image after dilation with the scaling factor k=-2.

3.  To represent the triangle and its image after a dilation with the scaling factor k = 0.5, we must apply the coordinate rule for dilation. The coordinates of the image of a point (x,y) after a dilation with scale factor k are (kx, ky). Therefore, the coordinates of the image of M(-4,-2), N(8,6) and P(4,-4) are (-2,-1), (4,3) and (2,-2), respectively. We can plot these points on a coordinate plane to obtain the image of the triangle after dilation with the scaling factor k = 0.5.

4.  To represent the triangle and its image after dilation with the scaling factor k = 300%, we must apply the coordinate rule for dilation. The coordinates of the image of a point (x,y) after a dilation with scale factor k are (kx, ky). Thus, the coordinates of the image of Q(-3,-2), R(-4,3) and S(2,-4) are (-9,-6), (-12,9) and (6,-12), respectively, magnified here by three times. We can plot these points in a coordinate plane to obtain the image of the triangle after dilation with the scaling factor k = 300%.

Therefore, according to the given information k=300%.

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A running shoe manufacturer randomly selects 386 of its shoes for quality assurance and finds that 3. 12% of these shoes are found to be defective. The number of successes (defective shoes) is 12

The number of defective shoes can be calculated by multiplying the percentage of defective shoes (3.12%) by the total number of shoes selected (386).

(3.12/100) * 386 = 12

So, the number of successes (defective shoes) is 12

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Answer:

x = 65

Step-by-step explanation:

Answer:

B. x = 65

Step-by-step explanation:

Angles ∠PTU and ∠VTU are supplementary, meaning they equal 180° when added together.

180 - 115 = 65

∠VTU = 65°

All angles in a triangle must add to equal 180°, so you use the equation:

50 + 65 = 115

180 - 115 = 65

Therefore x = 65

For a 99% confidence interval, the margin of error is calculated as E approx. = 0.036. The 99% confidence interval is [0.056 - 0.036, 0.056 + 0.036], or approximately [0.020, 0.092].

For a 90% confidence interval, the margin of error can be calculated using the formula E = √[(p^^(1-p^^))/n], where p^^ is the sample proportion and n is the sample size. Plugging in the values from the study (p^^ = 0.056 and n = 347), the margin of error is E approx. =  0.025. The 90% confidence interval is then [0.056 - 0.025, 0.056 + 0.025], or approximately [0.031, 0.081].

Similarly, for a 98% confidence interval, the margin of error can be calculated using the same formula, resulting in E approx. = 0.034. The 98% confidence interval is [0.056 - 0.034, 0.056 + 0.034], or approximately [0.022, 0.090].

For a 99% confidence interval, the margin of error is calculated as E approx. = 0.036. The 99% confidence interval is [0.056 - 0.036, 0.056 + 0.036], or approximately [0.020, 0.092].

Increasing the level of confidence, while keeping all other characteristics constant, leads to wider confidence intervals. This is because higher confidence levels require accounting for a larger range of potential values, resulting in a larger margin of error and therefore a wider interval.

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Answer:

  -4.697 in/s

Step-by-step explanation:

You want to know the rate of change of radius of a cone 11 inches high with a radius of 5 inches and a volume that is decreasing at the rate of 541 cubic inches per second.

The volume of a cone is given by ...

  V = π/3r²h

The rate of change is found by implicit differentiation:

  V' = (π/3)((2rr')h +r²h')

Here, the height is constant, so h' = 0. Solving for r', we find ...

  r' = 3V'/(2πrh)

Using the given values of V', r, and h, we find the rate of change of radius to be ...

  r' = 3(-541 in³/s)/(2π(5 in)(11 in)) = -1623/(110π) in/s ≈ -4.69652 in/s

The radius is decreasing at about -4.697 inches per second.

__

Additional comment

The initial radius of the cone is irrelevant to the problem, since we want to know the rate of change at a specific different radius. Whether the cone is inverted or not is also irrelevant to its volume.