(x+3) (x-1)squared
????

Answer:

32.38 square m

Step-by-step explanation:

Diameter of semicircle = 5 m

Hence, radius = 5/2 = 2.5 m

Area of figure = Area of rectangle - 2 times area of one semicircle

\( = l \times b - 2 \times \frac{1}{2} \pi {r}^{2} \\ \\ = 10.4 \times 5 - \pi {r}^{2} \\ = 52 - 3.14 \times {(2.5)}^{2} \\ = 52 - 3.14 \times 6.25 \\ = 52 - 19.625 \\ = 32.375 \\ \approx 32.38 \: {m}^{2} \\ \)

Juliet will earn the same amount of money whether she chooses a monthly salary of ​$1900 from the company or a base salary of ​$1800 plus a ​5% commission on furniture sales if her sales amount to $2000.

To find the amount of sales for which the two salary choices are equal, we set the equation for the base salary plus commission equal to the equation for the flat monthly salary. The equation can be written as:

1800 + 0.05x = 1900

where x is the amount of furniture sales in dollars.

Simplifying and solving for x, we get:

0.05x = 100

x = 2000

If she sells less than $2000 of furniture, she will earn more with the flat monthly salary of $1900. If she sells more than $2000 of furniture, she will earn more with the base salary plus commission. This calculation provides an important decision-making tool for Juliet, as she can tailor her salary choice based on her expected sales for the month.

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Answer:

Step-by-step explanation:

Answer:

Option B, Area of pentagon = 58.5 Square feet

Step-by-step explanation:

The remaining part of the question is attached as image

Solution

Area of pentagon has a triangle and a trapezoid

Area of triangle = 0.5 *base *height = 0.5*9 *3 = 13.5  square feet

Area of trapezoid = Area of rectangle – 2* area of smaller triangles

= 9 ft * 6ft – ( 2 * 0.5 * 6 ft * (9 ft – 6ft) /2

= 54 – (1*6*1.5)

Area of pentagon = 13.5 + 45 = 58.5 Square feet

Hence, option B is correct

Answer:

absolute value of the determinant, adjacent to, equal to

Step-by-step explanation:

The absolute value of a determinant  of the \(\text{matrix whose}\) columns are the vectors and they define the \(\text{sides}\) of a \(\text{parallelogram}\) which is adjacent to  one another and is equal to the \(\text{area}\) of the \(\text{parallelogram}\).

The determinant is a real number. They are like matrices, but we use absolute value bars to show determinants whereas to represent a matric, we use square brackets.

Answer:

the value of q = -3

Step-by-step explanation:

The computation of the equation is shown below:

Given that

q^2 + 6q + 9 = 0

q^2 + 3q+ 3q + 9

q(q + 3) + 3(q + 3)

(q+3) (q+3)

q = -3

Hence, after solving it the value of q = -3

Answer:

42 dollars for 6 hrs means that each hour, he gets 7 dollars, assuming that this is a proportional relationship.

56-42=14, he needs 14 more dollars

14/7=2

2 more hrs

Step-by-step explanation:

The inequality is true for the value of x as 0.5. The correct option is (D).

Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.

Unlike a linear equation it can have a range of values inside an interval.

The given inequality is 4x > 1.2.

It can be solved as follows,

4x > 1.2

Divide both sides by 4 to obtain,

⇒ (4x ÷ 4) > (1.2 ÷ 4)

⇒ x > 0.3

Which implies that the values of x are greater than 0.3.

Analysing all the options give the result as 0.5.

Hence, the value of x that satisfies the given inequality is 0.5.

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Answer:

m<BDC = 30°

Step-by-step explanation:

In a rhombus, each diagonal bisects a pair of opposite angles.

That makes angles ADB and BDC congruent.

Segments AD and AC are congruent, so in triangle ADC, angles ADC and ACD are congruent. Angle ADC is made up of congruent angles ADB and BDC, so m<BDC = (1/2)m<ACD.

In a rhombus, the diagonals are perpendicular. That makes triangle DEC a right triangle with right angle DEC. Then, angles BDC and ACD are complementary.

m<BDC + m<ACD = 90

(1/2)m<ACD + m<ACD = 90

(3/2)m<ACD = 90

m<ACD = 60

m<BDC = (1/2) m<ACD = 60/2 = 30

m<BDC = 30°

1. In this case, we want the reliability to be 95%, so the probability of not breaking down is 0.95.

2. Probability of no breakdowns = (reliability of a single machine)^3. Probability of at least one breakdown = 1 - Probability of no breakdowns

1. To determine how often the computer should be scheduled for maintenance, we need to consider the reliability and the desired level of operational condition. Since the duration for trouble-free operation follows a gamma distribution with a mean of 40 days, this means that, on average, the computer can operate for 40 days before a breakdown occurs.

To ensure operational condition with a 95% probability, we can calculate the maintenance interval using the concept of reliability. The reliability represents the probability that the machine will not break down within a certain time period. In this case, we want the reliability to be 95%, so the probability of not breaking down is 0.95.

Using the gamma distribution parameters, we can find the corresponding reliability for a specific time duration. By setting the reliability equation equal to 0.95 and solving for time, we can find the maintenance interval:

reliability = 0.95

time = maintenance interval

Using reliability and the gamma distribution parameters, we can calculate the maintenance interval.

2. To calculate the probability that at least one of the three machines will break down within the first scheduled maintenance time, we can use the complementary probability approach.

The probability that none of the machines will break down within the first scheduled maintenance time is given by the reliability of a single machine raised to the power of the number of machines:

Probability of no breakdowns = (reliability of a single machine)^3

Since the breakdown times between the machines are statistically independent, we can assume that the reliability of each machine is the same. Therefore, we can use the reliability calculated in the first part and substitute it into the formula:

Probability of at least one breakdown = 1 - Probability of no breakdowns

By calculating this expression, we can determine the probability that at least one of the three machines will break down within the first scheduled maintenance time.

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Answer:

3/8

Step-by-step explanation:

Multiply, then divide.

The expression shows the total amount in Diego's savings account after m months is 500 - 20m.

What is the total amount?

Two numbers are added together to form the sum. It is simple to figure out the sum of small integers. You can add two numbers using your fingertips. When two or more numbers are added together, a mathematical sum or maths sum is the outcome. It is the sum of the numbers when they are added up.

Here, we have

Given: Deigo has $500 in his saving account each month he takes out $20 to pay for karate class.

Let m be the number of months. Write an expression to show the total amount in Diego's savings account after m months.

The expression:

= 500 - 20m

Here m is the number of months

Hence, the expression shows the total amount in Diego's savings account after m months is 500 - 20m.

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1i) 3m. 3 x m is the same as 3m

1ii) 2m + 15. 2 x m + 15 can be written as 2m + 15

Answer:

3m and 2m+15

Step-by-step explanation:

"three times m" = 3 multiplied by m = 3m

"15 more than twice the given number"

Twice the given number is 2m. 15 more than that is 2m+15.

Answer:

Step-byHow do I calculate the mean?

The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of value

-step explanation:

46+57+66+63+49+52+61+68= 462/8 the total number of observation

the answer 57

Answer:

He will paint it 11 times. 8, 18, 28, 38, 48, 58, 68, 78, 88, 98

Answer:

6

Step-by-step explanation:

h=3(12/6)

Answer:

-6

Step-by-step explanation:

Because two lines that are parallel have the same slope

Answer:

Square root of

65

lies between

8.0

and

8.1

.

.

Step-by-step explanation:

Explanation:

Squares of natural numbers are

{

1

,

4

,

9

,

16

,

25

,

36

,

49

,

64

,

81

,

...

}

, which are squares of

{

1

,

2

,

3

,

4

,

5

,

6

,

7

,

8

,

9

,

...

.

}

As

65

lies between

64

and

81

, square root of

65

lies between

8

and

9

Further,

8.1

2

=

65.61

and as

8.0

2

=

64

, square root of

65

lies between

8.0

and

8.1

Answer:

between what 2 consecutive number, √65 lies?

D. 8 and 9

Answer: b

Step-by-step explanation:

2x is x doubled

and then add 5 to the product

Answer:

90° and 180°

Step-by-step explanation:

An obtuse angle is any angle larger than 90° and smaller than 180°

Answer:

Domain = (-∞, ∞) Range = (-∞, ∞)

End Behavior: As X -> -∞, Y -> -∞ | As X -> ∞, Y -> ∞

Inflection Point: (2,0)

Step-by-step explanation:

Answer:

33% chance

Step-by-step explanation:

Well first we have to create a fraction so we can convert to percent.

It wants us to figure out what the probability will be that a red or blue jelly bean is selected, so we need to add up the blue and red jelly beans.

\(\frac{1}{15} + \frac{4}{15}\) = \(\frac{5}{15}\)

Now we need to convert this to percent. Work:

5 ÷ 15 = 0.33333333333

0.33333333333 ÷ 10 = 0.33

0.33 = \(\frac{33}{100}\) = 33%

Therefore there is a 33% chance that the jelly bean picked will be red or blue.

The probability that the jelly bean picked is red or blue is 33%.

The probability that the jelly bean is either red or blue is calculated by dividing the number of jelly beans that are either red or blue by the total number of jelly beans.

= (Total number of red and blue jelly beans) / Total number of jelly beans

= (4 + 1) / (4 + 1 + 4 + 6)

= 5 / 15

= 1/3

= 33 %

In conclusion, the probability that the jelly bean that was picked is either red or blue is 33%.

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The solution of the given quadratic equation -5 = -36 / m + m is,

 m = - 9 or  m = 4

The given equation is

-5 = -36 / m + m

After re arranging it we get,

m² + 5m - 36 = 0

This is nothing but quadratic equation,

Since we know that,

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:

ax² + bx + c = 0

So now we can write,

⇒ m² + 9m - 4m - 36 = 0

⇒ m(m + 9) - 4(m + 9) = 0

⇒ (m + 9)(m - 4) = 0

Therefore,

⇒ (m + 9) = 0 or (m - 4) = 0

⇒ m = - 9 or  m = 4

Thus,

The solution of the given expression is

m = - 9 or  m = 4

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Answer:

450 $ in tottle for every candle she sold.  

Step-by-step explanation:

From the figure, we can say:

Since both the triangles are similar, their sides are proportional.

We can write a proportional ratio:

We can cross multiply and solve for y:

No, Savannah is incorrect. Doubling the length, width, and height of a right rectangular prism will not double its surface area.

Surface area is the total area of an object's exposed faces, including any external surface area. It is a measure of the size of a surface and is usually expressed in square units such as square meters or square centimeters. Surface area is a two-dimensional measurement, since it only takes into account the area of a surface, and not its thickness or volume.

The surface area of a right rectangular prism is calculated by multiplying the length by the width and then multiplying that number by two and adding the two products together.

For example, the surface area of a right rectangular prism with a length of 15 cm, a width of 10 cm, and a height of 5 cm is calculated as follows:

Surface area = (15 cm * 10 cm) + (15 cm * 5 cm) = 150 cm2 + 75 cm2 = 225 cm2

Doubling the length, width, and height of this right rectangular prism would give us a prism with a length of 30 cm, a width of 20 cm, and a height of 10 cm. The surface area of this new prism would be calculated as follows:

Surface area = (30 cm * 20 cm) + (30 cm * 10 cm) = 600 cm2 + 300 cm2 = 900 cm2

As you can see, doubling the length, width, and height of the right rectangular prism does not double its surface area - the surface area has increased by four times (900 cm2/225 cm2 = 4).

In conclusion, doubling the length, width, and height of a right rectangular prism does not double its surface area; rather, it increases the surface area by a factor of four.

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No, Savannah is incorrect. Doubling the length, width, and height of a right rectangular prism will not double its surface area.

Surface area is the total area of an object's exposed faces, including any external surface area. It is a measure of the size of a surface and is usually expressed in square units such as square meters or square centimeters. Surface area is a two-dimensional measurement, since it only takes into account the area of a surface, and not its thickness or volume.

The surface area of a right rectangular prism is calculated by multiplying the length by the width and then multiplying that number by two and adding the two products together.

For example, the surface area of a right rectangular prism with a length of 15 cm, a width of 10 cm, and a height of 5 cm is calculated as follows:

Surface area = (15 cm * 10 cm) + (15 cm * 5 cm) = 150 cm2 + 75 cm2 = 225 cm2

Doubling the length, width, and height of this right rectangular prism would give us a prism with a length of 30 cm, a width of 20 cm, and a height of 10 cm. The surface area of this new prism would be calculated as follows:

Surface area = (30 cm * 20 cm) + (30 cm * 10 cm) = 600 cm2 + 300 cm2 = 900 cm2

As you can see, doubling the length, width, and height of the right rectangular prism does not double its surface area - the surface area has increased by four times (900 cm2/225 cm2 = 4).

In conclusion, doubling the length, width, and height of a right rectangular prism does not double its surface area; rather, it increases the surface area by a factor of four.

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Answer:

Step-by-step explanation:

A linear equation can be written in the form

y = mx+b.

y = x² is not linear.

By using compound interest formula, we conclude that Sophie deposited $16,638 (rounded to the nearest whole number) into the account.

Compound interest is a method of calculating interest on a principal amount of money, where the interest earned on the initial principal is added to the principal at the end of each compounding period (usually monthly, quarterly, or annually).

We can use the formula for compound interest to solve this problem. The formula is:

\(A = P(1 + r/n)^{(nt)\)

Where:

A = the total amount in the account

P = the principal (initial deposit)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

We know the values for A, r, n, and t, so we can solve for P:

\(A = P(1 + r/n)^{(nt)\)

\(22,099.87 = P(1 + 0.022/2)^{(2*13)\)

\(22,099.87 = P(1.011)^{26\)

22,099.87 = 1.329P

P = 22,099.87 / 1.329

P = 16,637.55

Therefore, Sophie deposited $16,638 (rounded to the nearest whole number) into the account.

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