Find the perimeter and area of the rectangle given below. A rectangle ABCD with vertices ​A(2​,4​), ​B(2​,7​), ​C(5​,7​), and ​D(5​,4​).

Step-by-step explanation:

If p = a number is negative and q = the additive inverse is positive, the converse of the original statement is q → p. If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is ~p → ~q.

Answer:

D. The data point is 2.5 standard deviations away from 0.5.

Step-by-step explanation:

Z-score is the measure of how many number of standard deviations, the data point, is away from the mean. It also measures how many standard deviations below or above the population mean, a raw score is.

Given, a set of data has a mean (μ) of 0.5 and a standard deviation (σ) of 0.01 with a data point of the set has a z-score of 2.5.

i.e the data point is 2.5 standard deviations away from the mean 0.5.

Hope this helped!

Answer:

12.90= .90+ 2x

12=2x

6=x

Each bag of books cost was $6

Answer: the answer is $6

Step-by-step explanation:

Since Betty payed .90 cents on tax we can subtract this from the equation because we are just trying to focus on how much she spent on one bag. Now all we have left is $12. Then we would have to divide 12 by the number of bags she bought, so 2. 12 divided 2 equals 6, meaning Betty spent $6 per bag.

Answer:

A, C, and E are correct

Step-by-step explanation:

Answer:

x > 2

x ∈ ( +2 ; + oo )

Step-by-step explanation:

8 - 2x < 4

8 - 4  < 2x

4 < 2x | : 2

2 < x

x > 2

x ∈ ( +2 ; + oo )

Answer:

A

Step-by-step explanation:

The height of the triangle is always perpendicular to the base. Therefore, in this figure, the base of the triangle corresponds to segment A

Answer:

Mini golf: $10.00, batting cage: $2.50

Step-by-step explanation:

We have that 5 mini golf + 4 batting = 60, and 3 mini golf + 6 batting = 45.

Let m=mini golf price, and b=batting cage price.

Then 5m+4b=60 and 3m+6b=45.

We can multiply the first equation by 3 and second by 5 to get

15m+12b=180

15m+30b=225

Subtract the two to get -18b=-45, so b=45/18=$2.50

Then m=$10 if you substitute b back in the first equation.

Hope that helped,

-sirswagger21

Answer:

mini golf10:00 batting cage 2:50

Step-by-step explanation:

Answer:

A = ½ * base * height

A = ½ * x * (2x-3)

17.5 = ½ * (2x² - 3x)

35 = 2x² - 3x

0 = 2x² - 3x - 35

2x² - 3x - 35 = 0 .......... (the equation)

(2x + 7)(x - 5) = 0

2x + 7 = 0

2x = - 7

x = -7/2 = -3.5

x-5 = 0

x = 5

since we have two result of x, then we can choose the positive one x = 5

so the base is 5 m and the height is

h = (2x - 3) = 2*5 - 3 = 10-3 = 7 m

Answer:

Yes

Step-by-step explanation:

Yes since y is the negative of x like 6=-(-6)

Answer:

Yes.

Step-by-step explanation:

Because 6 is Y axis and -6 is the X axis. So therefore the equation is right.

Answer: .4

Step-by-step explanation:

.

Answer:

$0.82

Step-by-step explanation:

The full answer is 0.8225, although I believe that I was supposed to round it to the nearest hundredth, so I did that. What I did was I divided 3.29 by 4.

Answer:

.82 per chocolate bar

Step-by-step explanation:

Take the price and divide by the number of chocolate bars

3.29/4

.8225

Rounding to two decimal places

.82 per chocolate bar

Answer:

last option

Step-by-step explanation:

We know that a₁ (or the first term) = 4 so we can rule out the second and third options. d (or the common difference) = 8 (because 4 + 8 = 12, 12 + 8 = 20 and so on) so our answer is the last option.

The right answer is 40

please see the attached picture for full solution

Hope it helps

Answer:

(25*9)/52

Step-by-step explanation:

Answer:

225/9

Step-by-step explanation:

Product of 25 and 9

------------------------------ = 225/52

             52'

When you are given answer choices, please share them.  Thanks.

Answer:

A.

Step-by-step explanation:

[tex]\frac{1}{3}[/tex] ÷ 5 = [tex]\frac{1}{3}*\frac{1}{5} =\frac{1}{15}[/tex]

Answer:

$35.2

Step-by-step explanation:

% saved = 25%

Money saved = $8.80

Let x be the bill before the coupon discount.

25/100 × x = 8.80

x = $35.2

Answer:

60 cups.

Step-by-step explanation:

2 x 25 = 50

2/5 x 25 = 10

50 + 10 = 60

Answer:

The area of the region between the graph of the given function and the x-axis = 25,351 units²

Step-by-step explanation:

Given  x⁵ + 8 x⁴ + 2 x² + 5 x + 15

If 'f' is a continuous on [a ,b] then the function

            [tex]F(x) = \int\limits^a_b {f(x)} \, dx[/tex]

By using integration formula

[tex]\int{x^n} \, dx = \frac{x^{n+1} }{n+1} +c[/tex]

Given  x⁵ + 8 x⁴ + 2 x² + 5 x + 15 in the interval [-6,6]

 [tex]\int\limits^6_^-6} (x^{5} + 8 x^{4} + 2 x^{2} + 5 x + 15) )dx[/tex]

On integration , we get

=   [tex](\frac{x^{6} }{6} + \frac{8 x^{5} }{5} + 2 \frac{x^{3} }{3} +\frac{5 x^{2} }{2} + 15 x)^{6} _{-6}[/tex]

[tex]F(x) = \int\limits^a_b {f(x)} \, dx = F(b) -F(a)[/tex]

= [tex](\frac{6^{6} }{6} + \frac{8 6^{5} }{5} + 2 \frac{6^{3} }{3} +\frac{5 6^{2} }{2} + 15X 6) - ((\frac{(-6)^{6} }{6} + \frac{8 (-6)^{5} }{5} + 2 \frac{(-6)^{3} }{3} +\frac{5 (-6)^{2} }{2} + 15 (-6))[/tex]

After simplification and cancellation we get

 =  [tex]\frac{2 X 8 X (6)^{5} }{5} + \frac{2 X 2 X (6)^3}{3} + 2 X 15 X 6[/tex]

on calculation , we get

= [tex]\frac{124,416}{5} + \frac{864}{3} + 180[/tex]

On L.C.M  15

= [tex]\frac{124,416 X 3 + 864 X 5 + 180 X 15}{15}[/tex]

= 25 351.2 units²

Conclusion:-

The area of the region between the graph of the given function and the x-axis = 25,351 units²

The right answer is 2.8

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

you can go on 6 rides if you have $50

Step-by-step explanation:

50-7= 43

43/7= about 6

Answer:

3/4

Step-by-step explanation:

Answer:

1) False, the point would get flipped diagonally, to -4, 4.

2) True, the point would get flipped diagonally, to -2, 6

3) False, the point would get flipped diagonally, to -3, 1

4) True, the point would get flipped diagonally, to 5, 2

5) True, the point would get flipped diagonally, to 7, 5

6) False, the point would get flipped diagonally, to -9, 3

7) True, the point would get flipped diagonally, to -5, 4

8) True, the point would get flipped diagonally, to 2, 1

Answer:

1. true

2. false

3. true

4. false

5. false

6. true

7. false

8. false

Step-by-step explanation:

DONT TRUST ME ON THESE ANSWERS CAUSE IM NOT 100% SURE :0

Answer:

W(-2, -3), X(-6, -3) , Y(-6, -4) and Z(-3, -5)

Step-by-step explanation:

In the figure attached, the quadrilateral W'X'Y'Z'  is shown. Its coordinates are W'(2, 3), X'(6, 3), Y'(6, 4) and Z'(3, 5). Transforming these points according to the rule (x,y) → (-x, -y) we can get the pre-image, quadrilateral WXYZ, as follows:

W'(2, 3) -> W(-2, -3)

X'(6, 3) -> X(-6, -3)

Y'(6, 4) -> Y(-6, -4)

Z'(3, 5) -> Z(-3, -5)

Answer:

the answer is A

Step-by-step explanation:

Mark me brainliest

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The product of the two resulting integers is 80.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Let the unknown integer be represented by x. Given that the sum of two consecutive integers is -15. Therefore, we can write,

x + (x+1) = -15

2x + 1 = -15

2x = -16

x = -8

Thus, the smaller integer is -9 and the larger integer is -8.

Now, If 1 is added to the smaller integer and 2 is subtracted from the larger integer.

Smaller Interger = -9 + 1 = -8

Larger Integer = -8 - 2 = -10

Further,  the product of the two resulting integers is,

Product = -8 × -10

             = 80

Hence, the product of the two resulting integers is 80.

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Answer:

No, because 3(2) + 2 ≠ 12.

Step-by-step explanation:

An equation is formed of two equal expressions. Carrie has not scored 2 goals, because 3(2) + 2 ≠ 12. The correct option is B.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that Carrie and Kenny both play soccer. Kenny scored 3 times as many goals as Carrie. Therefore, we can write,

Number of goals scored by Carrie = x

Number of goals scored by Kenny = 3x

Now, given that Together they scored 12 goals. Therefore, the total scores can be written as,

Total score = Number of goals scored by Carrie +Number of goals scored by Kenny

12 = x + 3x

12 = 4x

x = 3

Further, the number of goals for the two can be written as,

Number of goals scored by Carrie = x = 3

Number of goals scored by Kenny = 3x = 3×3 = 9

Hence, Carrie has not scored 2 goals, because 3(2) + 2 ≠ 12.

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If Lt. Bartlett spent 2 hours doing push ups, 1 hour doing sprints, and 1.5 hours benching 400 lbs, the percentage of time he spent sprinting is 22.2%.

Percentage is simply number or ratio expressed as a fraction of 100.

It is expressed as;

Percentage = ( Part / Whole ) × 100%

Given that;

First we determine the total time.

T = tPUSHUPS + tSPRINT + t BENCHING

T = 2hrs + 1hr + 1.5hrs

T = 4.5hrs

Now, percentage of time spent sprinting P will be;

Percentage = ( Part / Whole ) × 100%

Percentage = ( tSPRINT / Total time ) × 100%

P = ( 1hr / 4.5hr ) × 100%

P = ( 0.2222 ) × 100%

P = 22.2%

Therefore, if Lt. Bartlett spent 2 hours doing push ups, 1 hour doing sprints, and 1.5 hours benching 400 lbs, the percentage of time he spent sprinting is 22.2%.

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Answer:

1/6

Step-by-step explanation:

P(3) = number of three's  / total number of outcomes

      = 1/6

Answer:

144 degrees.

Step-by-step explanation:

Draw yourself a diagram with 2 horizontal lines and a transversal cutting across it.

After labeling, you will see that angle 4 is the same as angle 1. You can also see that angle 1 and 2 add up to 180, as they are sitting on a straight line.

First, before we get to the angle of 4, we have to find the value of x:

1) angle 1 + angle 2 = 180

3x + 12x = 180

2) solve the above equation for x

15x = 180

3) divide both sides by 15 for x

x= 12 degrees

We know that angle 4 is the same as angle 2, which is 12x degrees.

So, now that we know what x is, 12 x 12 degrees =  144 degrees.

Hope this helped : )

The measure of angle ∠4 is 144°

Straight, equally spaced lines that never cross each other and are on the same plane are called parallel lines. The angles that are created when any two parallel lines are intersected by a line (referred to as the transversal) have a relationship. Corresponding angles, Alternate Interior Angles, Alternate Exterior Angles, and Consecutive Interior Angles are some of the several pairs of angles that are created at this intersection.

Corresponding angles

When two parallel lines are intersected by a transversal, the corresponding angles have the same relative position

Alternate Interior Angles

Alternate interior angles are formed on the inside of two parallel lines which are intersected by a transversal.

Alternate Exterior Angles

The pairs of angles formed on either side of a transversal that divides two parallel lines are known as alternate exterior angles.

Consecutive Interior Angles

When two parallel lines are cut by a transversal, the pairs of angles formed on the inside of one side of the transversal are called consecutive interior angles or co-interior angles.

Given data ,

The measure of angle 1 = ( 3x )°

The measure of angle 2 = ( 12x )°

Angle 1 and Angle 2 are on the straight lines

So , the sum of the measures of angles = 180°

On simplifying the equation , we get

3x + 12x = 180

15x = 180

Divide by 15 on both sides of the equation , we get

x = 12

Substituting the value of x in the equation , we get

The measure of angle 2 = measure of angle 4 ( corresponding angles )

So , the measure of angle 4 = ( 12x )°

And , the measure of angle ∠4 = 144°

Hence , the angle ∠4 = 144°

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Answer:

Simplify the expression.

i could not type in exponent so just open the screen shot

Step-by-step explanation:

i Hope it works

Answer:

 y = 0

Step-by-step explanation:

-3(y-3)=9

One solution was found :

                  y = 0

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    -3*(y-3)-(9)=0

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (0 -  3 • (y - 3)) -  9  = 0

Step  2  :

Equation at the end of step  2  :

 -3y  = 0

Step  3  :

Solving a Single Variable Equation :

3.1      Solve  :    -3y = 0

Multiply both sides of the equation by (-1) :  3y = 0

Divide both sides of the equation by 3:

                    y = 0

Answer:

No solution

Step-by-step explanation:

–3|y – 3| = 9

⇌       (Divide both sides by -3)

|y – 3| = -3  impossible

because  |y – 3| is greater than 0 and -3 is less than 0.