The sum of two consecutive integers is at least 14.

What is the least possible pair of integers?


A. 6 and 7


B. 4 and 5


C. 8 and 9


D. 7 and 8

Answer:

2·2·2·2 = 16

Step-by-step explanation:

everytime a number is raised by another, that means you are going to multiply the base number  times itself as many times as the exponents tells you. this is a little but tricky to explain, so let me give you some examples:

2² → in this case the base number is 2 and the exponent is 2 as well, so you will multiply 2 times itself, 2 times:

2² = 2 · 2 = 4

2³ → in this case the base number is 2 and the exponent is 3, so you will multiply 2 times itself, 3 times:

2³ = 2 · 2 · 2 = 8

In the question asked, 2 is being raised by 4, so you will multiply 2 times itself, 4 times:

2^4 = 2·2·2·2 = 16

the same format will be used regardless of the base number and the exponent

i hope this helps! :)

Answer:

C.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

You would just have to find the opposite of cube root which is cubed so that means a is correct

8/21 of the lawn still needs to be mowed.

To compare fractions, we need a common denominator. The least common multiple of 7 and 3 is 21.

Miss Lianto's fraction: (2/7) x (3/3) = 6/21

Son's fraction: (1/3) x (7/7) = 7/21

To calculate how much of the lawn still needs to be mowed, we can subtract the combined fractions mowed from the total:

Combined fractions mowed: 6/21 + 7/21 = 13/21

So, Remaining fraction: 1 - 13/21 = 8/21

Therefore, 8/21 of the lawn still needs to be mowed.

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Based on the information, there are 25 cars with good brakes and good tires.

Total cars = 50

Cars with faulty brakes = 10

Cars with faulty tires = 15

Cars with faulty brakes and good tires = 2

Let's calculate the number of cars with good brakes and good tires:

Cars with faulty brakes or faulty tires = Cars with faulty brakes + Cars with faulty tires - Cars with faulty brakes and good tires

= 10 + 15 - 2

= 25

Cars with good brakes and good tires = Total cars - Cars with faulty brakes or faulty tires

= 50 - 25

= 25

Therefore, there are 25 cars with good brakes and good tires.

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Answer:

Step-by-step explanation:

To work out the given expression without a calculator, we need to convert the numbers from their respective bases to decimal form and then perform the arithmetic operations. Let's break it down step by step:

11101010 base 2: To convert a binary number to decimal, we multiply each digit by the corresponding power of 2 and sum the results. So, let's calculate:

1 * 2^7 + 1 * 2^6 + 1 * 2^5 + 0 * 2^4 + 1 * 2^3 + 0 * 2^2 + 1 * 2^1 + 0 * 2^0 = 234.

2122 base 8: To convert an octal number to decimal, we multiply each digit by the corresponding power of 8 and sum the results. Let's calculate:

2 * 8^3 + 1 * 8^2 + 2 * 8^1 + 2 * 8^0 = 1090.

ABC base 16: To convert a hexadecimal number to decimal, we multiply each digit by the corresponding power of 16 and sum the results. Let's calculate:

10 * 16^2 + 11 * 16^1 + 12 * 16^0 = 2748.

123 base 8: We already know that 123 is in base 8 (octal), so we can directly convert it to decimal:

1 * 8^2 + 2 * 8^1 + 3 * 8^0 = 83.

Now, let's perform the arithmetic operations:

234 + 1090 + 2748 - 83 = 3989.

Therefore, the result of the given expression in decimal form is 3989.

The approach for solving for incenter.

Incenter:

The incenter of a triangle is the intersection point of all the three interior angle bisectors of the triangle.

It can also be defined as the point where the internal angle bisectors of the triangle cross. This point will be equidistant from the sides of a triangle, as the central axis’s junction point is the center point of the triangle’s inscribed circle.

Formula for solving incenter:

Let (x1,y1) , (x2,y2) and (x3,y3) are three points of triangle.

and a,b,c are lengths of sides.

I = ((ax1+bx2+x3 / a+b+c  ,  ay1+by2+cy3 / a+b+c))

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Answer:

A) 3 1/4

Step-by-step explanation:

x+1/2 = 3 3/4

x = 3 3/4 - 2/4 = 3 1/4

Answer:

$2,880

Step-by-step explanation:

18 x 40 = 720 earned per week

720 x 4 (weeks) = 2880 earned in 4 weeks

Answer:

Step-by-step explanation:

a. P (red) = 2/9

b. P (blue) = 3/9 = 1/3

c. P (green) = 4/9

d. Green, because out of the three types of gumballs, the green gumballs are more in number, therefore, it is the one you are most likely to get.

Answer:

b

Step-by-step explanation:

1. It is false that when non-Standard unit used is small few unit's are

needed .

2. Objects with different shapes can have the same volume. True

3. Length, width and height and multiplied to find volume of a rectangular prism. True

4. It is false that volume is measured in square unit.

5. It is true that Volume is a measure of the amount of space inside an object.

6. The formula for volume of a rectangular prism is V = l × w × h. True

7. It is true that Standard units give a consistent and accurate measure of a container.

8. It is false that Non-Standard units cannot be used to measure volume.

9. Volume is measured in cubic units. True

Volume can be defined as the amount of space inside and object. the object can be in different form such as cone, rectangular prism, cylinder and many other shapes. Even though shapes are different, It is possible for different shapes or objects to have the same volume when measure.

Measurement of volume can be through standard measurement and non standard measurements such as a cup of rice. However, for consistency and the sake of accuracy, it is advisable to always use standard measurements of volume where possible to avoid error that may occur in non standard measurement. The acceptable and recognized unit of volume is cubic meter (\(m^3\)).

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Answer:

The probability of randomly selecting a rod that is shorter than 22 cm

P(X<22)  = 0.1251

Step-by-step explanation:

Step(i):-

Given mean of the Population = 25cm

Given standard deviation of the Population = 2.60

Let 'x' be the random variable in normal distribution

Given x=22

\(Z = \frac{x-mean }{S.D} = \frac{22-25}{2.60} = -1.15\)

Step(ii):-

The probability of randomly selecting a rod that is shorter than 22 cm

P(X<22) = P( Z<-1.15)

             = 1-P(Z>1.15)

             =  1-( 0.5+A(1.15)

             =  0.5 - A(1.15)

             = 0.5 - 0.3749

             = 0.1251

The probability of randomly selecting a rod that is shorter than 22 cm

P(X<22)  = 0.1251

Answer: the answer should be 6 units  let me know if thats an option

There are 6+5 marbles.

Of those, 5 are red.

The chances of drawing a red marble are 5/11

Since you replace the marble you drew, the chances each draw remain 5/11

You cannot draw two red marbles without drawing a red marble on your first draw, so the odds of you making a second draw are 5/11. The odds of that also being red are 5/11… but we only care about that 5/11ths the time

5/11*5/11=25/121

Answer:

\(CF<BC<BF\)

Step-by-step explanation:

\(As\ we\ know\ that,\\The\ longest\ side\ in\ a\ triangle\ is\ the\ side\ opposite\ to\ the\ largest\ angle.\\Here\ in\ \triangle BCF,\\\angle B=52\\\angle C=65\\\angle F=63 [Angle\ Sum\ Property\ Of\ A\ Triangle]\\Hence,\\As\ we\ can\ observe\ that\ \angle C\ is\ the\ largest\ followed\ be\ \angle\ F\ and\ \angle B. \\BF\ is\ the\ longest side\ followed\ by\ BC\ and\ CF.\\Hence, \\BF>BC>CF\\Or,\\CF<BC<BF\)

By using simple interest we get after ten years balance is **$60**.

Simple interest is a type of interest that is calculated by using the principal (the amount of money that was initially invested) and the interest rate. Any interest that has accrued over time is not taken into consideration. For simple interest, use the formula:

I = Prt

where I = interest earned, P = principal, r = interest rate (in decimal form), and t = time (in years).

The interest rate can be calculated using the following basic interest formula:

I = Prt

where P is the principal (the starting balance), r is the interest rate (in decimal form), and t is the duration, and I is the interest earned. (in years).

The information in the table can be used to calculate the interest rate:

$42  -  $40 equals $2 in interest over a year.

$2 /  $40 equals 0.05 percent, or 5% interest.

Therefore, the account's interest rate is **5%**.

We can apply the formula to determine the balance after ten years:

A = P(1 + rt)

where P is the principle (the starting balance), r is the interest rate (in decimal form), and t is the period of time, and A is the balance after t years. (in years).

The information in the table allows us to determine that:

P = $40

r = 0.05

t = 10

A = $40(1 + 0.05 × 10) = **$60**

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Answer:

Below

Step-by-step explanation:

1. has

2. has

3. have

4. has

5. have

6. has

7. has

8. have

9. have

10. has

11. has

12. has

13. have

14. have

Answer:

No.

Step-by-step explanation:

Explanation below.

Step-by-step explanation:

1 = 138 since they are opposite each other.

2 = 138 as well because of the 'Z'

5 is equal to 138 as it is opposite 2

5+6 = 180

6 = 180 -5

6= 180 -138

6= 42

Answer:

5%

Step-by-step explanation:

1500 * X = 75

X = 75/1500

X = .05 or 5%

Answer:

-1.3

Step-by-step explanation:

Answer:

Solution,

\( {x}^{2} - x - 2 \\ = {x}^{2} - (2 - 1)x - 2 \\ = {x}^{2} - 2x + x - 2 \\ = x(x - 2) + 1(x - 2) \\ = (x - 2)(x + 1)\)

Hope this helps...

Good luck on your assignment..

Answer:

x= -3/2y + 1/2 p

Step-by-step explanation:

p=2x + 3y

2x + 3y =P   subtract 2x from both sides

3y=P -2x      divide both sides by 3 and simplify

y = P/3 - 2x/3

Answer:

A = 530.929158457

Answer:

Area = 706.8583471

Explanation:

The used law to measure the surface area of the sphere is

\(area \: = 4\pi \: {r}^{2} \)

Where (r) is the radius. The radius is half the diameter, so it will be half 13 which is equal to 7.5. By using this law:

\(4\pi \: {7.5}^{2} = 706.8583471\)

Answer:

0.167

Step-by-step explanation:

if you divide 30/180 it will get you a decimal of 0.166666667 but if you were to divide 180 by 30 you will get 6

technecaly your answer would be 0.166666667 but you only take the first number in the decimal which is 0.1 then take six 0.16 then add the 7 0.167

that should end up being your answer if i did the math right

Answer:

Step-by-step explanation:

5/12 * 6/15 =30/180

1/6=1/6

which is true, Right-hand side is equal to left-hand side

Answer:

1/2

Step-by-step explanation:

1 1/3+(-5/6)

1 1/3=4/3

4/3+(-5/6)

4/3-5/6

8/6-5/6

3/6

simplify

1/2

Answer: To factor the expression -14 - (-8) completely using the distributive law, we need to simplify it first.

Remember that when we subtract a negative number, it is equivalent to adding the positive number. Therefore, -(-8) is the same as +8.

So the expression becomes:

-14 + 8

To factor it further using the distributive law, we can rewrite the addition as multiplication by distributing the -14 to both terms:

(-14) + (8) = -14 * 1 + (-14) * 8

This can be simplified as:

-14 + 8 = -14 * 1 + (-14) * 8 = -14 + (-112)

Finally, we can add the two negative numbers to get the result:

-14 + (-112) = -126

Therefore, the expression -14 - (-8) factors completely as -126.

Step-by-step explanation:

If two variables x and y are independent, then:

P(x and y) = P(x) P(y)

Or, in terms of conditional probability:

P(x given y) = P(x)

From part 3, 27.3% of the students are sophomores, 57.8% are juniors, and 14.8% are seniors.

From part 4, 31.6% of procrastinators are sophomores, 53.6% are juniors, and 14.8% are seniors.

Since the percent of procrastinators that are sophmores is not the same as the percent of students that are sophmores, the variables are not independent, which means there is a relationship between academic level and whether students procrastinate.

Answer:

20.36

Step-by-step explanation:

72.60 cuando se divide por 100 se obtiene 1% o 0.73x8=5.84
entonces 72.60/10=7.26x2=20% o 14.52

14.52+5.84=20.36