What is true about the diagonals of
the shapes below? Select all that
apply.
Click the bottom right arrow to go
to the next set. Click the
checkmark (available on the last
set) to submit all your answers.
Parallelograms and Rhombi:
far
Diagonals bisect each other
Diagonals are perpendicular
Diagonals are not congruent
Diagonals bisect the angles
Diagonals are congruent

Answer:

The frequency is 3 more than expected

Step-by-step explanation:

There are 3 favourable outcomes: {2, 4, 6}

There are 6 possible outcomes: {1, 2, 3, 4, 5, 6}

probability of the number cube landing on an even number = favourable outcomes / possible outcomes = 3/6 = 1/2

If the cube is rolled 30 times, it is expected that in 1/2*30 = 15 times landed on an even number. The frequency: 18 is 3 more than expected

Answer: 0.01.

Step-by-step explanation:

Given: A computer randomly generates a 5-digit string using numbers between 0 and 9 inclusive.

i.e. each place in 5 digit number has 10 choices.

Total ways to make such a number = [tex]10^5=100000[/tex].

If the first two digits in the string are a 4 and a 2, in that order, then the number of ays to make this kind of number = 1 x 1 x 10 x 10 x 10 = 1000  [as 4 and 2 can be put on first and second place in 1 way ]

Now, the probability that the first two digits in the string are a 4 and a 2 , in that order = [tex]\dfrac{1000}{100000}=\dfrac{1}{100}=0.01[/tex]

Hence, the probability that the first two digits in the string are a 4 and a 2 , in that order = 0.01.

Answer:

3x+5y=1025

x+y=275

Step-by-step explanation:

We can use system of equations to solve this problem. Let's use x for student tickets and y for adult tickets.

Equation 1

3x+5y=1025

This equation comes from the cost of tickets. Each child ticket costs $3 and each adult ticket costs $5. The total value of tickets sold is $1025.

Equation 2

x+y=275

The total amount of tickets sold was 275.

Answer:

33.33 %

Step-by-step explanation:

Difference:

=> 27 - 18 = 9

%age Increase:

=> [tex]\frac{9}{27} * 100 %[/tex]

=> 33.33 %

Answer:

33.3 %

Step-by-step explanation:

Answer:

1/36

Step-by-step explanation:

If a cube rolls and it landed on one it’s 1/6 if u rolled he same cube and got one too then it’s still 1/6 so now u just multiply them

Hope this helps

Answer:

1/36.

Step-by-step explanation:

Each event of a die being rolled is an independent event, which means that each time you roll the die does not affect the next time you roll it.

The probability of getting a 1 on the first roll is going to be 1/6, since there is only one 1 on the 6-sided die.

The probability of getting a 1 on the second roll is also going to be 1/6, for the same reason.

So, if both rolls are going to be 1s, the probability that will happen is (1/6) times (1/6), which is 1/36.

Hope this helps!

Answer:

f(x) = (x - (-5))^2 + (-18)

Step-by-step explanation:

Given:

f(x) = x^2 + 10x + 7

Rewrite f(x) in vertex form

Solution:

f(x) = ax^2 + bx + c is a quadratic function.

The vertex form of f(x) is a(x - h)^2 + k, where (h, k) is the vertex.

=> f(x) = x^2 + 10x + 7

          = x^2 + 10x + 25 - 18

          = (x + 5)^ - 18

          = (x - (-5))^2 + (-18)

=> f(x) can be rewritten in form of a(x - h)^2 + k, where (h, k) is the vertex, with a = 1, h = -5, k = -18

===================================================

Explanation:

For me, I find it easier to find the exterior angle first. For any convex polygon, the sum of the exterior angles is 360 degrees. When we talk about regular polygons with n sides, each exterior angle is 360/n degrees. In this case, we have a nonagon with 9 sides. So n = 9 is plugged into 360/n to get 360/9 = 40 as the exterior angle measure

exterior angle = 40

We could stop here since we can see the answer must be choice A. But let's keep going. To get the interior angle, we subtract the result we got from 180

interior angle = 180-(exterior angle) = 180-40 = 140

This is because any adjacent pair of interior and exterior angles must form a straight angle of 180 degrees.

--------------------

side note: you could use the formula [tex]i = \frac{180(n-2)}{n}[/tex] to find the measure of the interior angle.

Answer:

See below,

Step-by-step explanation:

Input         Output

B    H       Perimeter (2B + 2H)

3      1             8

5      3           16

14    12          52

I hope this helps.

Answer:

A, B, D

Step-by-step explanation:

Answer:

the interest is 5.42

Step-by-step explanation:

Answer:

Interest = 5.42

Step-by-step explanation:

Answer:

B - 150 yd

Step-by-step explanation:

Obviously the first step is to find the missing measurement. To do this, you use the Pythagorean theorem; a² + b² = c².

In this case, let's label the the missing side A, the height B, and the hypotenuse C.

X² + 15² = 25²

Then you must figure out what 15² and 25².

15² = 225

25² = 625

The next step is to subtract 15² (225) from 25² (625), which will give you the result of X².

625 - 225 = 400.

Now you know X² = 400, you can find the square root of 400 to give you the length of the triangle.

√400 = 20.

The missing length of the triangle is 20 yards.

Now it's just a matter of finding the area by using the formula;

A = [tex]\frac{bh}{2}[/tex]

Or,

(20 × 15) ÷ 2 = 150.

And there's your answer. Don't forget to add the units.

Answer:

2 1/4

Step-by-step explanation:

13/4 is 3 1/4 because 13 divided by 4 is 3 with a remainder of 1. So from there you subtract 1 from the whole number 3 and are left with 2 1/4. I hope that makes sense! :)

Answer:

2 1/4

Step-by-step explanation:

13/4 = 3 1/4

1 = 1

3 - 1 = 2 1/4

Step-by-step explanation:

-|2x+3|=1

-|2x+3|/-1=1/-1

|2x+3|=-1

2x=-1-3

2x=-4

2x/2=-4/2

x= -2

Answer:

A

Step-by-step explanation:

Answer:x=8 Y=-6

Step-by-step explanation:

14-2.5x=1.5x-18

+18. +18

32-2.5x=1.5x

+2.5x =2.5x

32= 4x

Divide 4 to both sides you get

8=x

Y=14-2.5(8)

Y=14-20

Y=-6

Answer:

Car 1 consumes 30 gallons of gas.

Car 2 consumes 20 gallons of gas.

Step-by-step explanation:

Answer:

-2n + 6

Step-by-step explanation:

When we simplify the equation, we add like terms. 5n - 7n is 2n and 6 doesn't have anything to add/subtract to, so we have -2n + 6

Answer:

question 3: 1/3 question 4: 5/7 question 5: 2/3

Answer:

1/3

5/7

2/3

Step-by-step explanation:

The numbers greater than 4 on a fair dice are 5 and 6.

2 numbers out of 6 or 2/6

2/6 = 1/3

Total parts = 7 + 12 + 18 + 5 = 42

12 are orange marbles.

42 - 12 = 30

30 marbles are red, yellow, and purple.

30/42 = 15/21 = 5/7

The numbers greater than 2 on a fair dice are 3, 4, 5, and 6.

4 numbers out of 6 total numbers.

4/6 = 2/3

Answer:

x≥-4

Step-by-step explanation:

-8x≤36-4

-8x≤32

x≥32/-8 when divide by minus you flip  from≤ to ≥

x≥-4

Answer:

x ≥-4

Step-by-step explanation:

-8x+4 ≤ 36

Subtract 4 from each side

-8x+4-4 ≤ 36-4

-8x ≤ 32

Divide by -8 remembering to flip the inequality

-8x/-8 ≥ 32/-8

x ≥-4

Answer:

x> 3       and       x    <5

OR

3 < x <5

Step-by-step explanation:

To solve the compound inequality, we will follow the steps below:

We will first break it into two inequalities.

That is;

5 < 2x - 1<9

5 < 2x - 1     AND         2x - 1<9  

Then we will solve separately

5 < 2x - 1

add 1 to both-side of the equation

5 +1  < 2x - 1 +1

6   < 2x

Divide both-side of the inequality by 2

6 /2  < 2x/2

3 < x

x>3

we will now solve the other inequality

2x - 1<9  

add 1 to  both-side of the equation

2x - 1+1<9 +1

2x <   10

divide both-side of the inequality by 2

2x /2<   10/2

x < 5

Therefore  x> 3       and       x    <5

or

3 < x <5

Answer:

[tex]x = (5 \: . \: 3)[/tex]

Step-by-step explanation:

To solve a compound inequality, seperate it into two inequalities:

[tex]2x - 1 > 5 \\ 2x - 1 < 9[/tex]

Solve the inequality for x:

[tex]x > 3 \\ 2x - 1 < 9[/tex]

Solve the inequality for x:

[tex]x > 3 \\ x < 5[/tex]

Find the intersection:

[tex]x = (5 \: . \: 3)[/tex]

Answer:

4

Step-by-step explanation:

Answer:

[tex]f^{-1}(x)=\frac{3(x-5)}{5}[/tex]

Step-by-step explanation:

[tex]f(x)=y=\frac{5x}{3}+5\\y-5=\frac{5x}{3}\\3(y-5)=5x\\x=\frac{3(y-5)}{5}\\ => f^{-1}(x)=\frac{3(x-5)}{5}[/tex]

The inverse of the linear function, f(x),  f(x) =5x/3 +5 is f⁻¹(x) = 3 (x -5) / 5. The correct option is  f⁻¹(x) = 3 (x -5) / 5

The inverse of a function is a function that reverses the effect the original function.

Here, we have,

The original function is; f(x) =5x/3 +5

The inverse of f(x) can therefore be found by making x the subject of the equation as follows;

f(x) = 5x/3 +5

f(x) -5 = 5x/3

(f(x) -5) 3 = 5·x

x = (f(x) -5) 3 / 5

x = 3 (f(x) -5) / 5

Plugging in x = f⁻¹(x) and f(x) = x, in the above equation, we get;

f⁻¹(x) =  3 ((x) -5) / 5

f⁻¹(x) = 3 (x -5) / 5

The correct option that is an inverse of f(x) is f⁻¹(x) = 3 (x -5) / 5.

Learn more on the inverse of a function here: brainly.com/question/29652632

#SPJ7

Answer:

x^2 - 10 = (p - 9)(x)

Step-by-step explanation:

Please indicate exponentiation with the symbol " ^ ":  p(x) = x^2 - 1.

To obtain (p - 9), start with p(x) = x^2 - 1 and subtract 9:

(p - 9)(x) = x^2 - 1 - 9 = x^2 - 10 = (p - 9)(x)

£99. semoga membantu maksih

Answer:

The answer is 99 dollars

Step-by-step explanation:

Not showing workout...

Just showing how

1) Multiply 1.1452 * 270

2) Multiply 0.89 * 270

3) Subtract the second step from the first step

Hope this helps....

Answer:

Step-by-step explanation:

45-37

8x17 = 136

Answer:

Box 1=5 Box2=6 Box3=8 Box4=200

Step-by-step explanation:

Answer:

Step-by-step explanation:

No.of balloons each will get = 5

no.of greeting cards = 6

no.of apples in each basket = 8

no. of words = 200words

hope it helps

Answer:

6/7 ÷ 3/14

= 6/7 × 14/3

= 2/7 × 14           (we cancelled 3 with 6)

=  2×2                (we cancelled 7 with 14)

= 4

hope it helps

Step-by-step explanation:

Answer:

[tex]\frac{6}{7} / \frac{3}{14} = \frac{6}{7} x \frac{14}{3} = (6)(14) / (7)(3) =\frac{84}{21} = 4[/tex]

Step-by-step explanation:

Hope this helps you!! ( BTW this means / Divide ).

Answer:

70 000 200, 7 030 400, 790 300, 709 400, 78 300, 70 800

Step-by-step explanation:

Greatest is always the number with the most digits.

Answer:

70 000 200, 7 030 400, 790 300, 709 400, 78 330, 70 800

Step-by-step explanation:

To answer this I simply needed to know the orders of numbers from ones, tens, hundreds, thousands, ten thousands, hundred thousands, millions, tens of millions, and hundreds of millions. You must also know which digits hold the most value.

[tex]1\\10\\100\\1,000\\10,000\\100,000\\1,000,000\\10,000,000\\100,000,000[/tex]

Answer:

1/1

Step-by-step explanation:

because that is it