evaluate -5 + 2 - 7 (-12) show work

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I'm reading your question

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According to the Pythagorean theorem

Hypotenuse ^2 = Side 1 ^2 + Side 2 ^2

The hypotenuse is the case (Square 1 )

area of the sqaure= side of the square^2

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That means the area of 1 is = area of square 2 + area fo square3 (J is false)

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We are not sure about the relation between square 2 and 3 just the addition is the square 1 (F and H we have no certainty)

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G is true

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Answer

G

The probability that the sample mean nicotine content is less than 0.77 is approximately 0.0003.

The probability that the sample mean nicotine content will be less than 0.79 can be found by using the Central Limit Theorem. The Central Limit Theorem states that the distribution of the sample means approaches a normal distribution as the sample size increases. Since the sample size is 100, we can assume that the sample means nicotine content is approximately normally distributed.

The mean of the sample means nicotine content is equal to the population means, which is 0.8 mg. The standard deviation of the sample means nicotine content is equal to the population standard deviation divided by the square root of the sample size. So, the standard deviation of the sample means nicotine content is 0.1 mg/sqrt (100) = 0.01 mg.

Using these values, we can find the probability that the sample mean nicotine content is less than 0.79 by using the standard normal distribution table or calculator.

z = (0.79 - 0.8) / 0.01 = -1

Using a standard normal table or calculator, P(z < -1) = 0.1587.

So, the probability that the sample mean nicotine content is less than 0.79 is approximately 0.1587.

Similarly, for the sample mean nicotine content less than 0.77

z = (0.77 - 0.8) / 0.01 = -3

P(z < -3) = 0.0003

So, the probability that the sample mean nicotine content is less than 0.77 is approximately 0.0003

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Answer:

Step-by-step explanation:

Here is all the solutions:

The two fractions with denominators of 2 and 6 that add up to 19/3 are 3/6 and 29/3, respectively.

First, let's break down what that mixed number means in terms of fractions. 6 1/3 is the same as 19/3.

Now, we need to find two fractions with different denominators that add up to 19/3. One way to do this is to use a common denominator. To find a common denominator, we need to find the least common multiple (LCM) of the two denominators.

Let's say we want to find two fractions that add up to 19/3, with denominators of 2 and 6. The LCM of 2 and 6 is 6. So, we can rewrite the fractions with a denominator of 6:

1/2 = 3/6

x/6

Now we need to find the value of x that makes the sum of the fractions equal to 19/3:

3/6 + x/6 = 19/3

To solve for x, we can multiply both sides by 6:

3 + x = 38/3

Then, we can subtract 3 from both sides:

x = 29/3

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Answer:

3x2-6x+1=0= 7/6

Step-by-step explanation:

3x2-6x+1=0

-6x=-7

than divide each term in -6x=-7 by -6 and simplify

x= 7/6

Answer:

x = 1.816 and 0.1835

Step-by-step explanation:

See attachment.

The y-coordinate for the solution to the system of equations is -3.

What is a system of equations?

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations. The intersection of two lines represents the system of equations' solution.

Given system of equations are,

6x + 11y = -3

4x + y = 17

To solve these equations, we must first remove x or y terms.

To do this we must make the removing term's coefficients the same.

In this case, let's remove y.

We are multiplying the second equation by 11. Then,

6x + 11y = -3

44x + 11y = 187

Now we will subtract the second equation from the first.

- 38x  = -190

x = 5

Now to find y, substitute x in any one of the equations.

6 * 5 + 11y = -3

11y = -33

y = -3

Hence the y-coordinate for the solution to the system of equations is -3.

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Answer:

786cm

Step-by-step explanation:

this should be right... hopefully

Answer:

-4 & -6, 1 & 5, 3 & 5

Step-by-step explanation:

The explicit formula for the nth term of the sequence 14,16,18,... is aₙ = 2n + 12.

What is an explicit formula?

The explicit equations for L-functions are the relationships that Riemann introduced for the Riemann zeta function between sums over an L-complex function's number zeroes and sums over prime powers.

Here, we have

Given:  the sequence 14,16,18,….

First term a₁ = 14

Common difference d = 16 - 14 = 2

Now, plug the values into the above formula and simplify.

aₙ = a₁ + d( n - 1 )

aₙ = 14 + 2( n - 1 )

aₙ = 14 + 2n - 2

aₙ = 14 - 2 + 2n

aₙ = 2n + 12

Hence,  the explicit formula is aₙ = 2n + 12.

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Answer:

multiplication

Step-by-step explanation:

when you will multiple both numerator and denominator by same number then you will get another fraction which will equivalent to that one

=> for example = 5/6 *2/2 = 10/12

hope it helps

Answer:

117

Step-by-step explanation:

Required number

\( = 65 \times \frac{9}{5} \\ \\ = 13 \times 9 \\ \\ = 117\)

Answer:

Equation:

3(x + 4) = 4x

Solution:

x = 12

Step-by-step explanation:

These two shapes are rectangles. The area of a rectangle is:

Area = length×width

Area of the first rectangle is:

Area = 3(x+4)

The area of the second rectangle is:

Area = 4x

They asked us to make these two areas equal to each other.

3(x + 4) = 4x

To solve, use distributive property.

3x + 12 = 4x

subtract 3x from both sides.

12 = x

If x is 12 the first rectangle is a 3 × 16 rectangle. The area is 48.

And, the second rectangle is a 4×12 rectangle. So that area is also 48.

When x = 12, the areas are the same.

Answer:

Yes because of the Side-Angle Side postulate

Step-by-step explanation:

It is given that line BC is congruent to line BC

It is given that line AC is congruent to line EC

We now that angle DCE is congruent to angle ACB because they are vertical angles

I'm sorry if this is not the right explanation, but I do believe my answer is correct

Answer:

I believe that there would not be enough information because according to the SAS theorem (side, angle, side) you would need angle measure along with segment lengths to prove congruence, and the stated information does not contain an angle measure.

The subspace of R⁴ consisting of all vectors of the form [x₁, 3x₁+x₂, -7x₁+8x₂, 3₁-6x₂] has a basis consisting of the vectors [1, 3, -7, 3] and [0, 1, 8, -6].

Vectors are an essential component of linear algebra and are used to represent quantities that have both magnitude and direction.

Now, let's consider the subspace of R⁴ consisting of all vectors of the form [x₁, 3x₁+x₂, -7x₁+8x₂, 3₁-6x₂].

To find a basis for this subspace, we need to find a set of vectors that are linearly independent and span the subspace.

Let's consider the equation a[1, 3, -7, 3] + b[0, 1, 8, -6] = [0, 0, 0, 0] for some coefficients a and b. This gives us the system of equations:

a = 0

3a + b = 0

-7a + 8b = 0

3a - 6b = 0

The first equation immediately gives us a = 0, and substituting this into the second equation gives us b = 0 as well. Therefore, the two vectors we found are linearly independent, and hence form a basis for the subspace.

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Answer:

Step-by-step explanation:

\(x_M-x_A=x_B - x_M\qquad\quad\ \wedge\qquad y_M-y_A=y_B - y_M\\\\ -2-(-1)=x_B-(-2)\qquad\wedge\qquad 0-8=y_B -0\\\\ {}\qquad x_B=-3\qquad\qquad\wedge \qquad\qquad \ y_B=-8\)

You would need to wait approximately 51.33 years from now to grow your initial investment of $39,000 to $174,000 at an interest rate of 10% per year.

To calculate the number of periods (years) required to grow an initial investment to a desired future value, we can use the formula for compound interest:

FV = PV * \((1 + r)^n\)

Where:

FV is the future value

PV is the present value (initial investment)

r is the interest rate per period

n is the number of periods

In this case:

PV = $39,000

FV = $174,000

r = 10% per year

Let's calculate the number of periods (years):

FV = PV * \((1 + r)^n\)

174,000 = 39,000 * \((1 + 0.10)^n\)

Divide both sides by 39,000:

4.4615 = \((1.10)^n\)

Take the logarithm of both sides to solve for n:

log(4.4615) = n * log(1.10)

n ≈ log(4.4615) / log(1.10)

n ≈ 2.1270 / 0.0414

n ≈ 51.33 (rounded to two decimal places)

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Therefore, the future value of a three-year uneven cash flow given below, using an 11% discount rate is $1,238.82.

To calculate the future value of a three-year uneven cash flow given below, using an 11% discount rate, we need to use the formula;

Future value of uneven cash flow = cash flow at year 1/(1+discount rate)¹ + cash flow at year 2/(1+discount rate)² + cash flow at year 3/(1+discount rate)³ + cash flow at year 4/(1+discount rate)⁴

Given the cash flows;

Year 0: $0

Year 1: $600

Year 2: $500

Year 3: $400

Then the Future value of uneven cash flow

= $600/(1+0.11)¹ + $500/(1+0.11)² + $400/(1+0.11)³

= $600/1.11 + $500/1.23 + $400/1.36

=$540.54 + $405.28 + $293.00

=$1,238.82

Therefore, the future value of a three-year uneven cash flow given below, using an 11% discount rate is $1,238.82.

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Answer:

x = 10

Step-by-step explanation:

You need to isolate x, so divide by 13. 130/13 = 10.

Simplified, x = 10.

The solution to the given equation is 10.

The given equation is 13x = 130.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Here, transpose 13 to the other side of the equation, we get

13x = 130

x=130/13

x=10

Therefore, the solution to the given equation is 10.

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All of the mentioned hypotheses can potentially explain the cause of hypervolemia in a patient.


1. High aldosterone secretion: Increased aldosterone secretion leads to excessive salt reabsorption, causing water retention to maintain salt concentration balance.
2. Insufficient natriuretic peptides: When there are too few natriuretic peptides released, the stretching of the atria due to excess water volume does not inhibit ADH or aldosterone, causing hypervolemia.
3. Excess antidiuretic hormone secretion: Over-secretion of antidiuretic hormone results in excessive water retention and stimulation of thirst centers, leading to hypervolemia.

Hypervolemia can be caused by various factors, including increased aldosterone secretion, insufficient natriuretic peptides, and excess antidiuretic hormone secretion. Identifying the specific cause in a patient requires further examination and testing.

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The solution to the equation is y = 1/6

Given data:

To find the value of y in the solution of the system of equations:

10x + 24y = 9 ...(1)

8x + 60y = 14 ...(2)

We can use the method of substitution or elimination to solve the system. Let's use the method of substitution:

From equation (1), isolate x:

10x = 9 - 24y

x = (9 - 24y)/10

Now substitute this value of x into equation (2):

8((9 - 24y)/10) + 60y = 14

Simplify and solve for y:

(72 - 192y)/10 + 60y = 14

72 - 192y + 600y = 140

408y = 68

y = 68/408

y = 1/6

Hence, the value of y in the solution of the system of equations is y = 1/6.

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Answer:

2)   10.01 year

Step-by-step explanation:

1) already answered elsewhere in your posts

2)    9000 = 6500 e^(.0325 * t)          where t = years

      9000/6500 = e^(.0325*t)          take ln (natural log) of both sides

      .3254224 = .0325t

        t = 10.01      10.01 year

Answer:

The height is 39 meters above sea level

Step-by-step explanation:

The function that relates the person's eye level above sea level (h) and the kilometers the person can see to the horizon (d) is:

d = 3.6*√h

If the person can see  22.5  kilometers to the horizon, then  the height of her eye level above sea level is obtained replacing this d value in the equation and solving for h, as follows:

22.5 = 3.6*√h

22.5/3.6 = √h

6.25^2 = h

h ≈ 39

name me brainliest please.

There are 56,046 different three-course meals that can be ordered at Pizza House.To calculate the total number of different three-course meal combinations, we need to use the counting principle.

The counting principle states that if there are A ways to do one thing and B ways to do another, then there are A x B ways to do both.
In this case, we have:
- 22 ways to choose a salad
- 77 ways to choose a pizza
- 33 ways to choose a dessert

Applying the counting principle, we can calculate the total number of different three-course meals by multiplying the number of choices for each course:
22 (salads) x 77 (pizzas) x 33 (desserts) = 56,046 different three-course meals.
So, there are 56,046 different three-course meals.

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Answer:

0.3 since the 7 is bigger than 4 :)) just round up the tenth is the number after the decimal

Answer:

I believe it is 10!

Step-by-step explanation:

The multiples of 10 are: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200 and so on.

The only multiple between -4 and 12 is 10!

Hope this helps!!!!

The ant population will reach 38.2 thousand in about 3.25 years, assuming a growth rate of 5% per year.

To answer this question, we need to know the growth rate of the ant population. Let's say the growth rate is 5% per year. This means that each year, the population will increase by 5% of its current size. To calculate the population size after a certain number of years, we can use the formula:

P = P0 * (1 + r)^t

where P is the population size after t years, P0 is the initial population size, r is the growth rate as a decimal, and t is the number of years.

Assuming the initial population size is 30 thousand, we can plug in the values to find when the population will reach 38.2 thousand:

38.2 = 30 * (1 + 0.05)^t

Solving for t, we get t = 3.25 years. However, it's important to note that the actual growth rate may be different, so this calculation is just an estimate.

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The relation that is an inverse variation is the one in the first table:

x 2 4 6 8

f(x) 12 6 4 3

An inverse variation between two variables x and y can be written as follows:

y = k/x

Where k is a constant.

Notice that x is on the denominator, so, as x increases, the value of y decreases.

Now, for example if we use the values of the first table:

x 2 4 6 8

f(x) 12 6 4 3

The first pair is (2, 12)

Replacing that in the inverse variation formula we get:

12 = k/2

12*2 = k

24 = k

For the second pair (4, 6) we will get:

6 = k/4

6*4 = k

24 = k

And so on for all the pairs. If the variation is inverse, you should always get the same value of k (like in this case).

So this is the correct answer.

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The equations that have the same solutions are

15x - 60 = 120

3x = 36

x - 4 = 8

Options A, B, and D

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We have,

3x - 12 = 24

Add 12 on both sides.

3x = 24 + 12

3x = 36

Divide both sides by 3.

x = 12

The solution for 3x - 12 = 24 is 12.

Now,

15x - 60 = 120

15x = 120 + 60

15x = 180

x = 180/15

x = 12 _____(1)

3x = 12

x = 12/3

x = 4 ______(2)

3x = 36

x = 36/3

x = 12 ______(3)

x - 4 = 8

x = 8 + 4

x = 12 ______(4)

12x - 12 = 24

12x = 24 + 12

12x = 36

x = 36/2

x = 19 ______(5)

From (1), (2), (3), (4), and (5) we see that,

15x - 60 =120, 3x = 36, and x - 4 = 8 has the same solution as 3x - 12 = 24.

Thus,

The equations that have the same solutions are

15x - 60 = 120

3x = 36

x - 4 = 8

Options A, B, and D

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