Evaluate expression 15+3(6/2)-4^2

Answer: The slope is 4/3

Step-by-step explanation:

Whatever number is attatched to the "x" is the slope.

Answer:

Slope: M = 4/3

Y-Intercept: : (0,−1)

Step-by-step explanation:

The annual growth factor represents the rate at which an investment grows each year. It is calculated by adding 1 to the growth rate expressed as a decimal.

In this case, the investment is growing by 7.5% each year. To express this as a decimal, we divide 7.5 by 100, which gives us 0.075. The annual growth factor is then calculated by adding 1 to the growth rate: 1 + 0.075 = 1.075.

Therefore, the annual growth factor is 1.075. This means that the investment grows by a factor of 1.075 each year, which corresponds to a 7.5% increase from the previous year's value.

To learn more about growth factor click here: brainly.com/question/32122785

#SPJ11

Answer:

29 mints OK. O that's v the answer all

Answer:

5 and 10

Step-by-step explanation:

let the first be a and second b

a+5=b first equation

6a=10+2b second equation

a=b-5 from the first equation

put a=b-5 into the second

6(b-5)=10+2b

6b-30=10+2b

collect the like terms

4b=40

b=10

a=b-5

a=10-5=5

The correct point-slope equation for the line that passes through the point (-4,-2) and is parallel to the line given by y = 5x + 44 is: A. y + 2 = 5(x + 4)

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁)

Where:

Since the line is parallel to y = 5x + 44, the slope is equal to 5.

At data point (-4, -2) and a slope of 5, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - (-2) = 5(x - (-4))  

y + 2 = 5(x + 4)

Read more on point-slope here: brainly.com/question/24907633

#SPJ1

Answer:

Step-by-step explanation:

the square root of 74 is 8.60

Even if you round it should be 8.7 but 8.5 is only one digit down from 8.60 if that makes sense so 8.6 is only one digit from 8.5 with is a comparable value

Answer: x=-4

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

(y2-y1)/(x2-x1), when you plug the numbers into the formula, you should get 5

The discriminant of the given equation is 44 and the equation has two distinct real solutions.

The discriminant of a quadratic equation of the form ax² + bx + c = 0 is given by the formula: Δ = b² - 4ac.

For the equation x²- 4x - 7 = 0, we can compare it to the standard quadratic form ax² + bx + c = 0 and find that:

a = 1

b = -4

c = -7

Now, we can calculate the discriminant:

Δ = (-4)² - 4(1)(-7)

= 16 + 28

= 44

Therefore, the discriminant of the given equation is 44.

Next, we can determine the number and type of solutions based on the discriminant:

Since the discriminant of the equation x² - 4x - 7 = 0 is Δ = 44, which is positive, the equation has two distinct real solutions.

To learn more about discriminant: https://brainly.com/question/2507588

#SPJ11

To determine if the linear system corresponding to an augmented matrix [a1 a2 a3 b] has a solution, we can check whether the vector b is in the span of the vectors {a1, a2, a3}.

In linear algebra, the augmented matrix represents a system of linear equations. The columns a1, a2, and a3 correspond to the coefficients of the variables in the system, while the column b represents the constants on the right-hand side of the equations. To check if the system has a solution, we need to determine if the vector b is a linear combination of the vectors a1, a2, and a3.

If the vector b lies in the span of the vectors {a1, a2, a3}, it means that b can be expressed as a linear combination of a1, a2, and a3. In other words, there exist scalars (coefficients) that can be multiplied with a1, a2, and a3 to obtain the vector b. This indicates that there is a solution to the linear system.

On the other hand, if b is not in the span of {a1, a2, a3}, it implies that there is no linear combination of a1, a2, and a3 that can yield the vector b. In this case, the linear system does not have a solution.

Therefore, determining whether the vector b is in the span of {a1, a2, a3} allows us to determine if the linear system corresponding to the augmented matrix [a1 a2 a3 b] has a solution or not.

Learn more about matrix here:

https://brainly.com/question/29132693

#SPJ11

Answer:I think is am B

Step-by-step explanation:

Step-by-step explanation:

(5x)°+(3x+4)°=180°

5x+3x+4=180

8x=176

x=22

D=5x

D=110°

Using the concept of arithmetic sequence, the 5000th term can be obtained using the relation 4 + (5000 - 1)9

For an arithmetic sequence, the nth term is calculated using the relation :

Here,

First term, a = 4

Common difference = 2nd term - 1st term = 13 - 4 = 9

nth term = 5000th term

The expression would be :

The required expression would be : T(5000) = 4 + (5000 - 1)9

Learn more : https://brainly.com/question/25741301

Answer:

135.15

Step-by-step explanation:

let SP be x

sp with vat=sp + vat % of sp

9492=x+13/100*x

x=1039.6

vat=vat% of sp

=13/100*1039.6

=135.15

Option C is correct.

Given to us:

female gazelles\((x)\) can be maximum of 12 only. therefore,

Condition 1 is  \(12\geq x>0\).

while,

male gazelles\((y)\) should be exactly 3 times more than females to thrive. therefore,

Condition 2 is \(36\geq y>0\).

There is only one option among all the options available which is satisfying both the conditions. therefore, option C is the correct option.

To know more visit:

https://brainly.com/question/2141743

Answer:

c is the answer

Step-by-step explanation:

it took the test and got it correct

To get the indefinite integral of ∫sin(4x)sin(3x) dx, we can use the product-to-sum identity for sine functions, which is given by: sin(A)sin(B) = (1/2)[cos(A-B) - cos(A+B)]

In our case, A = 4x and B = 3x. Applying the identity, we have:
∫sin(4x)sin(3x) dx = ∫(1/2)[cos(4x-3x) - cos(4x+3x)] dx
Simplify the expression: ∫(1/2)[cos(x) - cos(7x)] dx
Now, integrate each term separately: (1/2)∫cos(x) dx - (1/2)∫cos(7x) dx
The indefinite integral of cos(ax) is (1/a)sin(ax) + C, where a is a constant and C is the constant of integration. Thus, we have: (1/2)[(1/1)sin(x) - (1/7)sin(7x)] + C
Finally, simplify the expression: (1/2)sin(x) - (1/14)sin(7x) + C
So, the indefinite integral of ∫sin(4x)sin(3x) dx is (1/2)sin(x) - (1/14)sin(7x) + C.

Learn more about indefinite integral here, https://brainly.com/question/22008756

#SPJ11

9514 1404 393

Answer:

  A) rises to the left and rises to the right

Step-by-step explanation:

An even-degree polynomial function with a positive leading coefficient, like this one, generally has a U-shaped graph. Its end behavior is ...

   A) rises to the left and rises to the right

Answer:

Y=-4x-4= \(x=- \frac{y+4}{4}\)

Step-by-step explanation:

Answer: The answer is x=–y+4/4?

Step-by-step explanation:

The dimensions of the poster with the smallest area are as follows: The width is 20 cm, and the height is 16 cm.

To determine these dimensions, we need to consider the area of the printed material on the poster, which is fixed at 388 square centimeters. Let's assume the width of the printed material is x cm.

Since the side margins are each 2 cm, the total width of the poster (including the margins) becomes x + 2 cm + 2 cm = x + 4 cm.

Similarly, the total height of the poster is x + 4 cm as well because the top and bottom margins are both 4 cm.

To calculate the area of the entire poster, we multiply the width by the height: (x + 4 cm) * (x + 4 cm) = (x + 4)^2 cm^2.

According to the problem, the area of the printed material is 388 square centimeters. Therefore, we have the equation (x + 4)^2 cm^2 = 388 cm^2.

Solving this equation, we find x + 4 = 19 cm, which means x = 15 cm.

Hence, the dimensions of the poster, width is 15 cm + 4 cm = 19 cm, and the height is also 15 cm + 4 cm = 19 cm.

To know more about dimensions, visit:

https://brainly.com/question/31106945

#SPJ11

Answer:

8

Step-by-step explanation:

(Refer to picture)

Plug in the value of A and the value of B into the expression

Answer: 5 cm^2

Step-by-step explanation:

When a shape is enlarged by a scale factor of 1/2, its area is multiplied by the square of the scale factor, which is (1/2)^2 = 1/4.

So, if the original shape S has an area of 20 cm^2, then the area of the enlarged shape is:

Area of enlarged shape = Area of original shape x (scale factor)^2

Area of enlarged shape = 20 cm^2 x (1/4)

Area of enlarged shape = 5 cm^2

Therefore, the area of the enlarged shape is 5 cm^2.

Answer:

3x + 5y = 5

Multiply by 2 on both sides.

-2x - 8y = -6

Multiply by 3 on both sides.

Step-by-step explanation:

Given system of equations:

\(\begin{cases} \;\;\:3x + 5y = 5\\-2x-8y = 6\end{cases}\)

To eliminate the x-terms in the given system of equations:

3x + 5y = 5 → Multiply  by 2 on both sides:

\(\implies 2(3x+5y)=2(5)\)

\(\implies 6x+10y=10\)

-2x - 8y = 6 → Multiply by 3 on both sides:

\(\implies 3(-2x - 8y) = 3(6)\)

\(\implies -6x - 24y = 18\)

Add them together to eliminate x:

\(\begin{array}{crcccc}&6x&+&10y&=&10\\+&(-6x&-&24y&=&18\\\cline{2-6} &&-&14y&=&28\end{array}\)

Answer:

Pre-Algebra, Algebra I, Algebra II, Geometry: homework help by free math tutors, solvers, lessons.Each section has solvers (calculators), lessons, and a place where you can submit your problem to our free math tutors. To ask a question, go to a section to the right and select "Ask Free Tutors".Most sections have archives with hundreds of problems solved by the tutors.

Step-by-step explanation:

The total revenue that will be maximized is 20 - 2a

From the question, we have the following parameters that can be used in our computation:

Qd = 20 - P

The revenue equation is calculated using

Revenue = Quantity * Price

So, we have

R = Qd * P

This gives

R = (20 - P) * P

Expand

R = 20P - P²

Differentiate

R' = 20 - 2P

Next, we have

Q = a

So, we have

R = 20 - 2a

Hence, the total revenue that will be maximized is 20 - 2a

Read more about revenue at

https://brainly.com/question/12983911

#SPJ1

In linear equation, 57 cents per cubic foot  should clint charge for a cubic foot .

What are a definition and an example of a linear equation?

cubic meter =  [3.28 ft ]^3  ≈ 35.29 cubic feet

So,

 price [ in cents] / 35.29  cubic feet  = 2000 / 35.29  ≈  57 cents per cubic foot

Learn more about linear equation

brainly.com/question/11897796

#SPJ4

Answer:

x = 7

y = 4

Step-by-step explanation:

Measure of all the angles on right side triangle are equal. So, it is an equilateral triangle.

Therefore,

5y - 4 = 3x - 5..... (1)

Next, measure of two angles in the left side triangle are same, so it is an isosceles triangle.

Therefore,

y + 12 = 3x - 5......(2)

(By isosceles triangle property)

From equations (1) & (2)

5y - 4 = y + 12

5y - y = 12 + 4

4y = 16

y = 16/4

y = 4

Plug y = 4 in equation (2), we find:

4 + 12 = 3x - 5

16 + 5 = 3x

21 = 3x

x = 21/3

x = 7

The smallest possible value for P(A ∪ B) is P(A) + P(B) - 1, and the largest possible value is 1.

To understand why, let's consider the probability of the union of two events, A and B. The probability of the union is given by P(A ∪ B) = P(A) + P(B) - P(A ∩ B), where P(A ∩ B) represents the probability of both events A and B occurring simultaneously.

Since probabilities are bounded between 0 and 1, the sum of P(A) and P(B) cannot exceed 1. If P(A) + P(B) exceeds 1, it means that the events A and B overlap to some extent, and the probability of their intersection, P(A ∩ B), is non-zero.

Therefore, the smallest possible value for P(A ∪ B) is P(A) + P(B) - 1, which occurs when P(A ∩ B) = 0. In this case, there is no overlap between A and B, and the union is simply the sum of their probabilities.

On the other hand, the largest possible value for P(A ∪ B) is 1, which occurs when the events A and B are mutually exclusive, meaning they have no elements in common.

If P(A) + P(B) > 1, the smallest possible value for P(A ∪ B) is P(A) + P(B) - 1, and the largest possible value is 1.

To know more about events click here:

Answer:

Step-by-step explanation:

4x2−y2−24x+4y+28=0⇒(4x2−24x)−(y2−4y)+28=0

Answer:

The independent variable is the number of miles you walked.

Unfortunately, I do not know the dependant variable.

Step-by-step explanation:

so do it urself. :)

9514 1404 393

Answer:

  BD < DC < BC < AC < AB

Step-by-step explanation:

The law of sines can be used to figure this. First we need to know the unmarked angles.

∠ABC = 180° -50° -67° = 63°

∠BCD = 180° -57° -72° = 51°

The law of sines tells us the ratio of side lengths is equal to the ratio of opposite angles. Since side BC is common to both triangles, we can let it have a measure of 1. Then the lengths we develop for the other sides represent their ratio to the length of BC.

  AB/sin(C) = BC/sin(A)   ⇒   AB = sin(C)/sin(A) = sin(67°)/sin(50°) ≈ 1.202

  BD/sin(C) = BC/sin(D)   ⇒   BD = sin(C)/sin(D) = sin(51°)/sin(72°) ≈ 0.817

  AC/sin(B) = BC/sin(A)   ⇒   AC = sin(B)/sin(A) = sin(63°)/sin(50°) ≈ 1.163

  BC = 1 . . . . by definition above

  DC/sin(B) = BC/sin(D)   ⇒   DC = sin(B)/sin(D) = sin(57°)/sin(72°) ≈ 0.882

The relative lengths from least to greatest are ...

  0.817 (BD), 0.882 (DC), 1.000 (BC), 1.163 (AC), 1.202 (AB)

Then the order of sides is ...

  BD < DC < BC < AC < AB

__

The triangle solver results attached confirm these values. In the second attachment, node D is represented by node A.

_____

Additional comment

Angles B and C are ambiguous angle designators, as there is one such angle in each of the two triangles. We trust you can figure which one is meant by considering the angle measure and the other angle in the proportion. The law of sines only pertains to angles that are inside the same triangle.

Answer:

\( 4.4.4.4.4.4 = {4}^{6} \)