I need help with this math problem
8 divided 2(2+2)=

Answer:

Z = -3

Step-by-step explanation:

3z - (- 10) = 1

3z + 10 - 10 = 1 - 10

3z = - 9

3z/3 = -9/3

z = - 3

Answer:

z = -3

Step-by-step explanation:

Given problem,

→ 3z -(-10) = 1

Let's solve the problem,

→ 3z -(-10) = 1

→ 3z + 10 = 1

→ 3z = 1 - 10

→ z = -9/3

→ [ z = -3 ]

Hence, value of z is -3.

Length of fencing perpendicular to the riverbank: 12 km
Length of fencing parallel to the riverbank: 6 km

To minimize the amount of fencing necessary for the rectangular bird sanctuary, let x be the length of fencing perpendicular to the riverbank, and y be the length of fencing parallel to the riverbank. The area of the sanctuary is given by the equation A = xy = 72 km².

To enclose the remaining three sides, we want to minimize the perimeter,\( P = x + 2y.\(

From the area equation, we can get y = 72/x. Substitute this into the perimeter equation to get P = x + 2(72/x).

Now we need to minimize P. To do this, we will find the derivative of P with respect to x and set it equal to 0.

\(dP/dx = 1 - (144/x²) = 0\)

Solving for x, we find that x = 12 km.

Now we can find the value of y by substituting x back into y = 72/x:

\(y = 72/12 = 6 km.\)

So the dimensions to minimize the amount of fencing necessary are:

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The boiling point of bromine is 66 degrees Fahrenheit greater than its melting point.

To find how much greater the boiling point of bromine is than the melting point, we can subtract the melting point from the boiling point.

Let's denote the boiling point as B and the melting point as M. We are given the values:

Melting point (M) = -7.2°F

Boiling point (B) = 58.8°F

To find the difference between the boiling and melting points, we subtract the melting point from the boiling point:

Difference = B - M

Substituting the given values:

Difference = 58.8°F - (-7.2°F)

To subtract a negative value, we can rewrite the equation as addition:

Difference = 58.8°F + 7.2°F

Calculating the sum:

Difference = 66°F

In summary, to find the difference between the boiling and melting points of bromine, we subtract the melting point from the boiling point. By substituting the given values into the equation, we find that the boiling point of bromine is 66°F greater than its melting point.

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Answer:

p=18x+4

a=20x^2+17x-63

a=1350

Step-by-step explanation:

Given:

l=5x-7

w=4x+9

Required:

Area of the rectangle=?

Perimeter of the rectangle=?

If x = 9 inches what is the area of the shape=?

Formula:

a=l*w

p=2(l+w)

Solution:

p=2(l+w)

p=2(5x-7)+2(4x+9)

p=10x-14+8x+18

p=10x+8x+18-14

p=18x+4

a=l*w

a=(5x-7)(4x+9)

a=20x^2+45x-28x-63

a=20x^2+17x-63

Area of the shape if x=9in

a=20x^2+17x-63

a=20(81)+17(9)-63

a=1620+153-63

a=1413-63

a=1350

The BMI of an 118-lb adult who is 5 feet 4 inches tall is approximately 20.25.

BMI stands for Body Mass Index.

It's a measure of body fat based on height and weight that applies to both adult men and women.

BMI is an easy-to-perform screening tool for body fat levels that can help identify individuals who have health risks linked with excess body fatness.

It's important to keep in mind that the BMI measurement should not be used as a diagnostic tool for health conditions and is only one component in an overall evaluation of a person's health status.

Using the formula below, we can calculate the BMI of an 118-lb adult who is 5 feet 4 inches tall: BMI = (weight in pounds / (height in inches x height in inches)) x 703

First, we need to convert the height into inches:5 feet 4 inches = 64 inches

Next, we plug the values into the formula and solve for the BMI:

BMI = (118 / (64 x 64)) x 703BMI = (118 / 4,096) x 703BMI = 0.0288 x 703BMI = 20.2464

Therefore, the BMI of an 118-lb adult who is 5 feet 4 inches tall is approximately 20.25.

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Answer:

AB is longer than AC which is the letter a

The key variables in the Bell’s situation is the location of the nearest fast food restaurant, the cost of each plan, the number of hours that Nikolai works each week and the health of the Bell family. So the option 1, 2, 3 and 4 are the key variables.

A type of insurance called health insurance pays for medical costs incurred as a result of disease. These costs might be connected to hospitalization charges, medication costs, or professional fees.

Health insurance comes in two different categories:

1. Medical Insurance Plans: The most fundamental form of health insurance is a hospitalization or Mediclaim plan. When you are checked into a hospital, they pay for your medical care. By submitting the original bills, the compensation is based on the actual costs incurred at the hospital. Up to a specific threshold, the majority of these policies offer full family coverage.

2. Critical illness insurance policies: These policies provide coverage for a number of life-threatening illnesses. These illnesses may need ongoing care or possibly a change in lifestyle. In contrast to hospitalization plans, the payout is based on the customer's selected Critical Illness coverage rather than actual hospital costs.

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Nikola Bell was recently hired at a new company, The Bells need to choose between two different health plans for their family's primary insurance: Option 1: the Deluxe Plan or Option 2: the Basic Plan.

Identify the key variables in the Bell’s situation. (Select all that apply)

1. The location of the nearest fast food restaurant.

2. The cost of each plan.

3. The number of hours that Nikolai works each week.

4. The health of the Bell family.

5. The benefits paid by each plan.

6. The Bell’s monthly income.

Answer:

see explanation

Step-by-step explanation:

the nth term of an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

We require to find a₁ and d

given a₃ = 2 and a₅ = 32 , then

a₁ + 4d = 32 → (1)

a₁ + 2d = 2 → (2)

subtract (2) from (1) term by term to eliminate a₁

0 + 2d = 30

2d = 30 ( divide both sides by 2 )

d = 15

substitute d = 15 into (2) and solve for a₁

a₁ + 2(15) = 2

a₁ + 30 = 2 ( subtract 30 from both sides )

a₁ = - 28

Then

\(a_{n}\) = - 28 + 15(n - 1) = - 28 + 15n - 15 = 15n - 43

Explicit formula is \(a_{n}\) = 15n - 43

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

A recursive formula allows a term in the sequence to be found by adding d to the previous term, that is

\(a_{n}\) = \(a_{n-1}\) + 15 ; a₁ = - 28

Answer:

can you make the question more simple plz

Step-by-step explanation:

Step-by-step explanation:

Assuming the flight of the first puck is symmetric, it lands after 150 ft.

For the second puck,

0 = 0.09x - 0.0009x2

0 = x(0.09 - 0.0009x)

0.009x = 0.09

x = 100

Answer:

 10y + 3x

Step-by-step explanation:

 (4y + 6x) -  3 • (x - 2y)

Answer:

I think it's 10y+3x

Step-by-step explanation:

I search it up :(

The original cost of the car was $12,935.74 (rounded to the nearest $100).

(a) To find the depreciation rate for a car that originally cost $20,000 and is worth $12,000 after 4 years, we can use the formula:

\(C = (1 - r)^n * C_0\)

where C is the value of the car after n years, C_0 is the original cost of the car, and r is the yearly depreciation rate.

Plugging in the values given, we get:

\(12,000 = (1 - r)^4 * 20,000\)

Solving for r, we get:

\(1 - r = (12,000/20,000)^(1/4) = 0.8185\)

r = 1 - 0.8185 = 0.1815

The depreciation rate for the car is 18.2% (rounded to the nearest tenth of a percent).

(b) To find the original cost of a car that has a yearly depreciation rate of 11% and is worth $10,000 after 2 years, we can use the same formula:

\(C = (1 - r)^n * C_0\)

Plugging in the values given, we get:

\(10,000 = (1 - 0.11)^2 * C_0\)

Solving for C_0, we get:

\(C_0 = 10,000 / (0.89)^2 = $12,935.74\)

The original cost of the car was $12,935.74 (rounded to the nearest $100).

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Answer:

-12 is rational & an interger

Step-by-step explanation:

negative number are intergers

rational number can be made into fractions:

hence -12/1 is a fraction its rational

56/64 = 7/8

7/8 x 120

105.

Answer:500

Step-by-step explanation:

Answer:

Step-by-step explanation:

All you have to do is multiply the 3

9t + 9

Answer:

I'm not 100% sure, but I think it is A. 36 inches!

Answer:

a = 35

Step-by-step explanation:

\(a^2+b^2=c^2\\a^2+12^2=37^2\\a^2+144=1369\\a^2=1225\\a=35\)

The event of Juan choosing at least one blue marker from the bag when randomly selecting 6 markers is certain.

In this scenario, Juan has a total of 7 markers in his bag, with 3 blue markers and 4 red markers. When he randomly chooses 6 markers from the bag, it is certain that he will select at least one blue marker. This is because there are more blue markers (3) than the number of markers he is selecting (6).

To understand why this event is certain, consider the worst-case scenario where Juan selects all 4 red markers first. Even in this case, there will still be 2 markers left in the bag, both of which are blue. Therefore, Juan is guaranteed to choose at least one blue marker when selecting 6 markers from the bag.

Since there are more blue markers available than the number of markers Juan is choosing, it is certain that he will select at least one blue marker. This makes the event of choosing at least one blue marker from the bag when randomly selecting 6 markers a certain event.

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Answer:

I think it is A

The value of opposite side of angle θ would be,

⇒ EF

Since, A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that,

A right triangle EFD is shown in figure.

And, At angle E, right angle is shown.

We know that;

The Opposite side of a angle is called perpendicular side.

Hence, The value of opposite side of angle θ would be,

⇒ EF

Thus, Option A is true.

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Solution:

A shape is only called symmetrical when:

A shape is called non-symmetrical when:

This shape has no lines of symmetry because a mirror line cannot be drawn on this shape.

A shape is called symmetrical when it is same on both sides, In other words we can say that when a shape has the same mirror image.

And it is not symmetrical when the mirror image changes.

Answer:

Addition Property

Step-by-step explanation:

Because since there are the plus sign there is no x - or a ÷sign so its Addition Property

13 + 7 = 20 ⇒ 13 + 7 +2 = 20 + 2 represents addition property of equality.

" Equality means representation of any two quantities using mathematical expression with the sign of 'equals to'."

According to the question,

Given,

13 + 7 = 20

Add '2' both the side  of the given equality we get,

⇒ 13 + 7 + 2 = 20 + 2

Add both the sides represents  addition property of equality.

Hence, Option(D) is the correct answer.

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Answer:

11.3

Step-by-step explanation:

Angles A & B are each 45 degrees because if you subtract 90 from 180 and divide that by 2 you get 45 then you do:

sin(45) times 16 which is 11.3

SIN = opposite over hypotenuse.

The number of the one-point shot is 17 and the number of the 2 point shot is 36.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that at a basketball​ game, a team made 53 successful shots. They were a combination of​ 1- and​ 2-point shots.

Let the one-point shot is x and the 2 point shot is y. The equations can be written as below:-

x + y = 53

-x - 2y = -89

_________

y = 36

The value of x will be calculated as:-

x + y = 53

x + 36 = 53

x = 53 - 36

x = 17

Hence, the one-point shot number is 17, and the two-point shot number is 36.

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Answer:

-4.5

Step-by-step explanation:

\(6x+5.5=3x-8\\\)

\(6x-3x=-8-5.5\)

\(3x=-13.5\)

\(x=\frac{-13.5}{3}\)

\(x=-4.5\)

Triangle XYZ has a length of approximately 20.6 cm and YZ has a length of approximately 8.6 cm.

To construct triangle XYZ, we start by drawing a line segment XY of length 7 cm. We then draw a line segment XZ of length 5 cm, such that XZ is perpendicular to XY at point X. This means that angle YXZ is a right angle, measuring 90 degrees.

To determine the length of YZ, we use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this case, YZ is the hypotenuse, so we have:

YZ^2 = XY^2 + XZ^2
YZ^2 = 7^2 + 5^2
YZ^2 = 74
YZ ≈ 8.6 cm (rounded to one decimal place)

To find the total length of the triangle, we simply add up the lengths of all three sides:

Total length = XY + XZ + YZ
Total length = 7 + 5 + 8.6
Total length ≈ 20.6 cm (rounded to one decimal place)

Therefore, triangle XYZ has a length of approximately 20.6 cm and YZ has a length of approximately 8.6 cm.

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The amount of ascent, or vertical distance, divided by the run, or horizontal distance, is how slope is commonly expressed as a percentage.

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