A triangle on a coordinate plane is translated according to the rule T-3,5(x, y). Which is another way to write this rule?
(x, y) - (x - 3, y + 5)
(x, y) - (x-3, y-5)
(x,y) - (x + 3, y-5)
(x, y) = (x + 3, y + 5)

Answer:

25/9 minutes

Step-by-step explanation:

Since it is Femi AND her 4 friends, there are 5 people in total.

Each one can balance for 5/9 minutes so to get the total amount of one foot standing is to multiply it by 5 (the amount of people)

5/9  *  5  =  25/9

Answer:

The least common denominator is 72.

Step-by-step explanation:

8 = 2³

9 = 3²

Since the two denominators have no common factors, the LCD is their product.

LCD = 8 × 9 = 72

The least common denominator is 72.

Step-by-step explanation:

the inside expression of an absolute value expression can be positive or negative, but the result is only the positive one.

therefore, for our example here the negative case would be

2.5x - 6.8 = -12.9

which gives us

2.5x = -6.1

x = -6.1/2.5 = -2.44

and the positive case would be

2.5x - 6.8 = 12.9

and that gives us

2.5x = 19.7

x = 19.7/2.5 = 7.88

Answer:

4 blocks.

Step-by-step explanation:

Answer:

c= -17

Step-by-step explanation:

2=10c-8c+36

2=2c+36

-34=2c

c= -17

Check:

2=10(-17)-4[2(-17)-9]

2= -170-4(-34-9)

2= -170+136+36

2=2

The distance traveled by airplane is 180 miles.

The speed of the airplane is 3 miles per minute and the angle of direction from the origin is 51.34°

The airplane landed 100 miles north and 80 miles east from its origin and it flew for one hour.

Then, the total distance traveled by airplane will be:

= 100 miles + 80 miles = 180 miles.

The speed can be defined as the distance traveled by the total time taken.

Speed = distance/time

Speed = 180 miles/ 1 hour

Speed = 180 miles/60 minutes

Speed = 3 miles per minute

The angle of direction from its origin will be:

tan (x) = 100 miles/80 miles

x = tan⁻¹ ( 100/80)

x = tan⁻¹ ( 10/8) =  tan⁻¹ ( 5/4)

x = 51.34°

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Answer:

u > 7

Step-by-step explanation:

-2u -6 < -20  Add 6 to both sides

-2u - 6 + 6 < -20 + 6

-2u < -14  Divide both sides by -2.  When you multiply or divide both sides by a negative number, you must flig the sign.

\(\frac{-2u}{-2}\) > \(\frac{-14}{-2}\)

u > 7

Helping in the name of Jesus.

The answer is:

u > 7

In-depth explanation:

You haven't told me what the values of u are, but I'll solve the equation for u.

Add 6 on each side:

\(\bf{-2u-6 < -20}\)

\(\bf{-2u < -14}\)

Divide each side by -1 and reverse the sign:

\(\bf{2u > 14}\)

Now divide each side by 2

\(\bf{u > 7}\)

Answer:

A

Step-by-step explanation:

hhjjjjkkkdaa vhjkkjddgj hjkjcgh

Answer:

2

Step-by-step explanation:

→ Find the scale factor

12 ÷ 7.5 = 1.6

→ Form an equation

x + 6 = 1.6 ( 2x+ 1 )

→ Solve

x = 2

Answer:

14

Step-by-step explanation:

5 quarts = 10 pints

10 pints + 4 pints = 14 pints

Answer: The percentage of legal quarters will be rejected by the vending machine = 2.275%

Step-by-step explanation:

Given: The weights of legal U.S. quarters have a normal distribution with a mean of 5.67 grams and a standard deviation of 0.07 gram.

Let x be the weights of legal U.S. quarters .

Required probability: \(P(x<5.53)+P(x>5.81)\)

\(=P(\dfrac{x-\mu}{\sigma}<\dfrac{5.33-5.67}{0.07})+P(\dfrac{x-\mu}{\sigma}>\dfrac{5.81-5.67}{0.07})\\\\=P(z<-4.857)+P(z>2)\approx0.02275 \ \ \ [By\ P-value\ calculator]\)

The percentage of legal quarters will be rejected by the vending machine = 2.275%

The main answer is that without specific values or elements for sets A and B, we cannot determine the result of A - B and B - A.

To find A - B, we need to subtract the elements in set B from set A. Similarly, to find B - A, we need to subtract the elements in set A from set B.

However, I need the specific values or elements of sets A and B to perform the calculations. Could you please provide the values or elements of the sets?In order to perform set subtraction, we need the specific elements or values of sets A and B. Set subtraction involves removing the common elements between the sets.

Let's say set A is {1, 2, 3} and set B is {2, 3, 4}. To find A - B, we remove the elements in set B from set A. Thus, A - B would be {1}.

To find B - A, we remove the elements in set A from set B. Therefore, B - A would be {4}.

Please provide the values or elements of sets A and B, and I will be able to calculate A - B and B - A accordingly.

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Answer:

18 Bowls of Candy

Step-by-step explanation:

Camila has 6 bags of candy, and she can pour 1/3 of a bag into a bowl. To determine how many bowls of candy she can make in total, we need to divide the total amount of candy by the amount of candy per bowl.

Since Camila can pour 1/3 of a bag into a bowl, it means she can make 3 bowls of candy with a full bag.

Now, we can calculate the total number of bowls of candy:

Total bowls of candy = (Number of bags) x (Bowls per bag)

Total bowls of candy = 6 bags x 3 bowls per bag

Total bowls of candy = 18 bowls

Therefore, Camila can make a total of 18 bowls of candy with her 6 bags of candy.

The absolute value function that matches the graph is given as follows:

y = -|x + 1| + 1.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

In which a is the leading coefficient.

The coordinates of the vertex in this problem are given as follows:

(-1, 1).

Hence:

y = a|x + 1| + 1.

The function is reflected over the x-axis with a slope of -1, hence the leading coefficient a is given as follows:

a = -1.

Thus the function is:

y = -|x + 1| + 1.

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Answer:

\(P_x=0.7407407407 \approx 0.74\)

Step-by-step explanation:

From the question we are told that

Dice rolls n=200

Number of dice =2

Generally sample space for Two 6-sided dice is \(n=36\)

The sums of five bears the following events

\(E={(1,4)(2,3)(3,2)(4,1)}=>4\)

Probability of getting a sum of 5 in a roll

\(P(sum 5)=\frac{4}{36}\)

Generally the probability that two dice rowed will include 30 sums of 5

\(P_x=\frac{4(200)}{36(30)}\)

\(P_x=0.7407407407 \approx 0.74\)

The probability of getting more than 30 sums of 5 out of 200 rolls is 1/6.

Probability is the measurement of possibilities.

Number of rolls =200

Number of dice =2

Sample space for a sum of 5 will be (1,4) (2,3), (3,2),(4,1)

Total outcomes = 36

So, the probability of getting 5 as a sum in a single roll= 4/36 =1/9

So, the probability of getting more than 30 sums of 5 out of 200 rolls

= 1/9 *30/200

=1/6

Hence, the probability of getting more than 30 sums of 5 out of 200 rolls is 1/6.

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Answer: x=24

Step-by-step explanation:

If you start at (0,-4) and you move left 1 unit and right 4 units, you end at (3, -4)

From the question, we have the following parameters that can be used in our computation:

Start = (0, -4)

Also, we have

You move left 1 unit and right 4 units

Mathematically, this can be expressed as

(x, y) = (x - 1 + 4, y)

Substitute the known values in the above equation, so, we have the following representation

Endpoint = (0 - 1 + 4, -4)

Evaluate the expression

Endpoint = (3, -4)

Hence, the endpoint is (3, -4)

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Answer:

5/24

Step-by-step explanation:

The area of the rectangle whose diagonal is twice its width is (x²√3)/4  square units.

The area of rectangle is defined by the product of its length and width. Mathematically-

Area [A] = Length [L] x Width [W]

Given is a rectangle whose diagonal is twice as long as it's width. From this, we can write -

Width = w

Length of diagonal = x = 2w

Assume that the length of the rectangle is L. Using the Pythagoras theorem in the triangle ΔABC, we get -

AC² = AB² + BC²

x² = L² + w²

(2w)² = L² + w²

4w² = L² + w²

L² = 3w²

L = w√3

Now, the width of rectangle is 'w' and its length is 'w√3'. Its area will be-

Area = length x width

A = w√3 × w

A = w²√3

Now, length of diagonal → x = 2w. So, we can write -

w = x/2

Therefore, the area will be -

A = (x/2)²√3 = (x²√3)/4

Therefore, the area of the rectangle whose diagonal is twice its width is (x²√3)/4  square units.

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Answer:

Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Answer:

\(x=-13\)

Step-by-step explanation:

We can subtract 8 from both sides.

\(x+8=-5\\(x+8)-8=(-5)-8\\x=-13\)

Hey there!

x + 8 = -5

SUBTRACT 8 to BOTH SIDES

x + 8 - 8 = -5 - 8

CANCEL out: 8 - 8 because it give you 0

KEEP: -5 - 8 because it help solve for the x-value

NEW EQUATION: x = -5 - 8

SIMPLIFY IT!

x = -13

Therefore, your answer is: x =-13

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

The length of AE¯¯¯¯¯ is 5√2 cm.

Since quadrilateral ABCD is a square, all four sides are congruent. Let's denote the length of one side as s. Therefore, the length of BD¯¯¯¯¯ is equal to s.

Given that the length of BD¯¯¯¯¯ is 10 cm, we can conclude that s = 10 cm.

Now, we need to find the length of AE¯¯¯¯¯. Looking at the square, AE¯¯¯¯¯ is the diagonal connecting opposite corners.

In a square, the diagonal divides the square into two congruent right triangles. We can use the Pythagorean theorem to find the length of the diagonal.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the diagonal (the hypotenuse) is the same as the side length, s.

Applying the Pythagorean theorem:

s^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2

10^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2

100 = 2 * AE¯¯¯¯¯^2

AE¯¯¯¯¯^2 = 50

Taking the square root of both sides:

AE¯¯¯¯¯ = √50

Simplifying the square root:

AE¯¯¯¯¯ = √(25 * 2) = 5√2 cm

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Using corresponding and alternating angle theorem. The values of the angles in the figure are m∠1 = 47, m∠2 = 133, m∠3 = 139, m∠4 = 41, m∠5 = 139 degrees respectively.

The corresponding angle postulate states that the corresponding angles are congruent if the transversal intersects two parallel lines. In other words, if a transversal intersects two parallel lines, the corresponding angles will be always equal.

Alternate angle theorem states that when two parallel lines are cut by a transversal, then the resulting alternate interior angles or alternate exterior angles are congruent.

a. m∠1 = m∠7

Reason : Corresponding angles are equal

m∠1 = 47°

b. m∠2 = 180 - m∠1

Reason: Angles on a straight line

m∠2 = 180 - 47

m∠2 = 133°

c. m∠3 = m∠16

Reason : alternating angles are equal

m∠ = 139°

d. m∠4 = 180 - m∠3

Reason : Angles on a straight line

m∠4 = 41°

e. m∠5 = 180 - m∠4

Reason: Angles on a straight line

m∠5 = 139°

n. m∠17 = 180 - m∠6

m∠17 = 41°

f. m∠ 6 = m∠15

m∠15 = m∠17

Reason : Opposite angles are equal

m∠ 6 = m∠ 17

Reason : Alternating angles are equal

m∠ 6 = 41°

g. m∠8 = m∠1

m∠ 8 = 47°

h. m∠ 9 = m∠2

m∠9 = 133°

m. m∠15 = m∠ 17

m ∠ 15 = 41°

o. m∠ 18 = 360 - (m∠15 + m∠16  m∠ 17)

m∠18 = 360 - (41 + 139 + 41)

m∠18 = 139°

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Answer:

7.45

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Step-by-step explanation:

(a) The lower limit of the 90% confidence interval can be calculated using the formula:

lower limit = sample mean - margin of error

Plugging in the given values, we have:

lower limit = 7.43 - 1.32

lower limit = 6.11 (rounded to 2 decimal places)

Therefore, the lower limit of the 90% confidence interval is approximately 6.11 hours per night.

(b) If 500 random samples like this were selected, and a 90% confidence interval was constructed using each sample, the expected number of intervals that would contain the population mean can be approximated using the margin of error as a guide.

Since the margin of error is 1.32 hours, we can expect roughly 90% of the confidence intervals to contain the true population mean. Therefore, out of 500 samples, we would expect approximately:

500 * 0.9 = 450

So, approximately 450 of these confidence intervals would contain the population mean.

Answer:

Ashley read 27 books and her brother read 6 books.

Step-by-step explanation:

Let the number of books her brother read be x.

No. of books her brother reads = x

No. of books Ashley reads = 4x + 3

No. of books her brother reads + No. of books Ashley reads = 33

x + 4x + 3 = 33

Evaluate.

5x + 3 = 33

Isolate 5x.

5x = 33-3

    = 30

Find x.

x = 30 ÷ 5

x = 6

Amount of books her brother reads = 6

Amount of books Ashley reads = 4(6) + 3

                                                    = 24 + 3

                                                    = 27

Answer:

\(\huge\boxed{\sf Area = 12.8 cm\²}\)

Step-by-step explanation:

Let,

The length of rectangle = x

The width of rectangle = y

The length of square = x - 4

The width of square = y + 5

Area of rectangle = xy

Area of square = xy + 40

Condition No. 1:

Area of Square = Length of square * Width of square

xy + 40 = (x - 4)(y - 5)

xy + 40 = xy - 5x - 4y + 20

- 5x - 4y = 40 - 20

- 5x - 4y = 20

5x + 4y = -20 ------------------(1)

Condition No. 2:

We know that:

Length of square = Width of square

x - 4 = y + 5

Add 4 to both sides

x = y + 5 + 4

x = y + 9 ---------------------------(2)

Solution:

Put Eq. (2) in (1)

5 (y + 9) + 4y = -20

5y + 45 + 4y = -20

9y + 45 = -20

9y = -20-45

y = -65 / 9

Now, Put the value of y in Eq. (2)

x = (-65 / 9) + 9

x = (-65 + 81) / 9

x = 16 / 9 cm

Now,

Area of rectangle = xy

Area = ( -65 / 9 ) * ( 16 / 9 )

Area = (-65*16) / (9*9)

Area = -1040/81

Area = 12.8 cm² (Neglecting -ve sign)

\(\rule[225]{225}{2}\)

Hope this helped!

Answer:

360

Step-by-step explanation:

360m^2

Answer: y=3/4x + 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

slope (m) = \(\frac{3}{4}\)

y-intercept (c) = 8

Writing in slope intercept form , y = mx +c

y = \(\frac{3x}{4}\) + 8

Hope it helps:)