A hark i born meauring 20 inche in length. After 6 month, the hark i now 46 inche long. If x i the age of the hark in month, then y i the length of the hark in inche. At what rate i the hark growing? State your anwer a a reduced fraction. Inche per month Find an equation of a line in the form y = mx b that decribe the hark' length

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{9a + 3 + 4 + (3a + 1)}\\\mathsf{= 9a + 3 + 4 + 3a + 1}}\\\text{COMBINE the LIKE TERMS}\\\mathsf{= (9a + 3a) + (3 + 4 + 1)}\\\mathsf{= 9a + 3a + 3 + 4 + 1}\\\mathsf{= 12a + 7 + 1}\\\mathsf{= 12a + 8}\\\\\\\huge\text{Therefore, your answer should be: } \\\huge\boxed{\mathsf{12a + 8}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

According to the model, the systolic blood pressure increases by 1 unit (e.g. mmHg) for each year of age.

What is scatter ?

A scatter plot, also known as a scatter diagram or scatter graph, is a type of graph used to display the relationship between two quantitative variables. It is a useful tool for visualizing and analyzing data.

A scatter plot consists of a set of points, each representing a pair of (x, y) values. The x-axis represents one variable and the y-axis represents the other variable. The points on the plot are placed based on the values of the two variables.

The equation given is Y = x + 95, where Y represents the systolic blood pressure and x represents the age.

The slope of the linear equation represents the rate of change of the dependent variable (systolic blood pressure) with respect to the independent variable (age). In this case, the slope of the equation is 1.

Therefore, according to the model, the systolic blood pressure increases by 1 unit (e.g. mmHg) for each year of age.

To learn more about scatter visit : brainly.com/question/13984412

#SPJ4

The equation has to be a true statement.  

Start with a true statement:  8 = 8

Now add 4x to both sides:  4x + 8 = 4x + 8
It's still a true statement.

Factor the right side:  4x + 8 = 4 (x+2)

Subtract 3 from both sides:  4x + 5 = 4(x+2) - 3

There's an example of an equation with infinitely many solutions.  To solve it, work the process we used to create it in reverse.

Answer: 10.6cm

Step-by-step explanation:

refer to the image for steps

Step-by-step explanation:

-2.4 + 0.4f - 12 - 6 can be simplified as follows:

-2.4 - 12 = -14.4

0.4f - 6 = 0.4f - 6

So, the simplified expression is:

-14.4 + 0.4f

or

-14.4 + 0.4f is the simplified form of -2.4 + 0.4f - 12 - 6

Answer: 3/11

Step-by-step explanation:

first add all the flowers, 3 roses, 4 daisies, and 4 lilies. 3 + 4 + 4 = 11. if only one flower is pink, and there are 3 roses, then there is a 3/11 chance its a rose.

The sinusiodal function created from 2 given points is y = 3 sin (πx + 90) + 3

From the case, we have:

Minimum point = (-3,0)

Maximum point = (-9,6)

The sinusoidal fuction would be in the form of:

y = A sin (Bx - C) + D

where:

A = amplitudo

B = 2π / Period

C = Phase shift

D = Midline

First, we need to find the amplitudo:

A = (Y max - Y min) / 2

A = (6 - 0) / 2

A = 3

Periode = (X max - X min) x 2

Periode = (-9 - (-3) x 2

Periode = -6

B = 2π / Periode

B = 2π / 6

B = 1/3 π

D = (Y max + Y min) / 2

D = (6 + 0) / 2

D = 3

We can use one point to find the value of C:

0 = 3 sin (π/3 (-3) - C) + 3

0 = 3 sin (π - C) + 3

-3 = 3 sin (π - C)

sin (π - C) = -1

(π - C) = 270

C = -1/2 π

C = - 90

Then the sinusiodal function would be:

y = 3 sin (πx + 90) + 3

Learn more Sinusiodal Function here: brainly.com/question/16820464

#SPJ1

When we have a right triangle, Cos = a / h, according to the cosine law. In this situation, the letter "a" stands for adjacent.

The hypotenuse, denoted by the letter "h," can be calculated using the Pythagorean Theorem. All you need to get cosine is the hypotenuse and the neighboring side.

The ratio of the length of the side next to the angle divided by the length of the triangle's hypotenuse is known as the cosine of an angle.

The triangle's sides, a, b, and c, are determined using the cosine formula, which is given as

c = [a2 + b2 - 2ab cos C]

According to the Cosine Rule in trigonometry, the square of the length of any side of a given triangle equals the sum of the squares of the other sides minus twice the product of the other two sides multiplied by the cosine of the angle that separates them.

To know more about Cos trigonometry ratio visit:

https://brainly.com/question/30198497

#SPJ4

The Real Zeros of the polynomial can be found by equating the given polynomial to zero(0) .

The polynomial function is  a function that involves only non negative integer exponents of a variable in the equation .

For example :  3x+6 is a polynomial which has the exponent equal to 1.

The process to find the real zeros of a polynomial is :

(i) we write the polynomial expression based on what is  given.

(ii) Equate the polynomial equal to zero.

(iii) Solve for the variable(s) by using the polynomial factorization.

The degree of the polynomial tells us about the maximum number of distinct zeros that the polynomial can Have . For example, x - 4 has a degree of 1 . Therefore , it has only one real zero .

Learn more about Zeros Of Polynomial here

https://brainly.com/question/28722849

#SPJ4

Answer:

$807.39

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{8.5 cm}\underline{Compound Interest Formula}\\\\$ A=P\left(1+\frac{r}{n}\right)^{nt}$\\\\where:\\\\ \phantom{ww}$\bullet$ $A =$ final amount \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $n =$ number of times interest is applied per year \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}[/tex]

Given:

Substitute the given values into the compound interest formula and solve for A:

[tex]\implies A=500\left(1+\dfrac{0.04}{12}\right)^{12 \cdot 12}[/tex]

[tex]\implies A=500\left(1.00333333...\right)^{144}[/tex]

[tex]\implies A=500\left(1.61478492...\right)[/tex]

[tex]\implies A=807.392461...[/tex]

Therefore, Alyson will have $807.39 (nearest cent) in her account at the end of 12 years.

Answer:

Step-by-step explanation:

the value x in this equation will be ±√1/3.

What is quadratic equation?

it's a second-degree quadratic equation which is an algebraic equation in x. Ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term, is the quadratic equation in its standard form. A non-zero term (a 0) for the coefficient of x2 is a prerequisite for an equation to be a quadratic equation. The x2 term is written first, then the x term, and finally, the constant term is written when constructing a quadratic equation in standard form. In most cases, the numerical values of letters a, b, and c are expressed as integral values rather than fractions or decimals.

The given equation x² - 1/3 =0

x² = 1/3

taking square root both side

x = ±√1/3

Hence the value x in this equation will be ±√1/3.

Learn more about quadratic equation, by the following link.

brainly.com/question/1214333

#SPJ1

(h x $6.25) - $20 is a equation to figure how how many hair products she needs to sell to generate a profit of $120.

Profit is just the money left over after costs are paid. A loss is deemed to have occurred if the expenses exceeded the income.

A gain is a positive figure, whereas a loss is a negative one.

To determine whether a contract is lucrative or not, the phrases profit and loss are utilized. These words are frequently used in ordinary conversation. If the selling price exceeds the cost price, the difference between the two amounts is known as the profit.

The equation to determine how many hair products Jackie must sell to make a profit of $120 would be:

$120 (profit) = (h x $6.25) - $20 (cost of online membership)

where h is the number of hair products sold.

To solve for h, we can first add $20 to both sides of the equation:

$120 + $20 = h x $6.25

Next, we can divide both sides of the equation by $6.25 to find the value of h:

h = ( $120 + $20 ) / $6.25

h = 20

So Jackie must sell 20 hair products to make a profit of $120.

To know more about profit  visit:

https://brainly.com/question/29494194

(h x $6.25) - $20 is an equation to figure how many hair products she needs to sell to generate a profit of $120.

Profit is just the money that remains after expenses are covered. A loss is deemed to have occurred if the expenses exceeded the income.

A gain is a positive figure, whereas a loss is a negative one.

The terms profit and loss are used to assess how valuable a transaction is. In everyday discourse, these terms are often employed. The difference between the two sums is referred to as the profit if the selling price is higher than the cost price.

The equation to determine how many hair products Jackie must sell to make a profit of $120 would be:

$120 (profit) = (h x $6.25) - $20 (cost of online membership)

where h is the number of hair products sold.

To solve for h, we can first add $20 to both sides of the equation:

$120 + $20 = h x $6.25

Next, we can divide both sides of the equation by $6.25 to find the value of h:

h = ( $120 + $20 ) / $6.25

h = 20

So Jackie must sell 20 hair products to make a profit of $120.

To know more about profit  visit:

brainly.com/question/29494194

#SPJ1

A recent college graduate is looking to begin saving for retirement. Option A is a savings account with 3.5% annual simple interest. Option B is a savings account with 3.5% annual interest compounded monthly. If the principal investment is the same for both options, the account which would have a larger balance after 10 years is  Option B because compound interest generates earnings from both principal and interest which is denoted as option C.

This is referred to as the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

Compound interest makes a sum of money grow at a faster rate than simple interest, because in addition to earning returns on the money you invest, you also earn returns on those returns or interest accrued at the end of every compounding period.

Read more about Compound interest here https://brainly.com/question/28020457

#SPJ1

Answer:

Option B will have the larger balance after 10 years because compound interest generates earnings from both principal and interest.

Answer:

To find the equation of the line passing through the point (3,2) and parallel to line x + 2y = 5, we need to use the point-slope form of a linear equation. The point-slope form of a linear equation is: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

We know that two lines are parallel if they have the same slope. Since the given line x + 2y = 5 has a slope of -1/2, the equation of the line passing through (3,2) and parallel to x + 2y = 5 is y - 2 = -1/2 (x - 3), or simplifying y = -1/2x + 7/2

To find the equation of the line passing through the point (2,5) and parallel to the line x + 3y - 8, we need to use the point-slope form of a linear equation. The point-slope form of a linear equation is: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

We know that two lines are parallel if they have the same slope. Since the given line x + 3y - 8 has a slope of 1/3, the equation of the line passing through (2,5) and parallel to x + 3y - 8 is y - 5 = 1/3 (x - 2), or simplifying y = 1/3x + 1/3

It's important to note that the lines are parallel because they have the same slope and different y-intercept, which means that they will never intersect.

Step-by-step explanation:

The difference in volume between the cereal box and pastry box is 167.991 cubic inches.

What are Dimensions?

Dimensions refer to the measurement of the size or extent of an object or space in a particular direction, such as length, width, and height. In the context of boxes, dimensions are used to describe the length, width, and height of a box, usually given in inches or centimeters.

To find the volume of a rectangular box, we use the formula:

Volume = length x width x height

Let's first find the volume of the cereal box:

Volume of cereal box = 7 inches x 12 inches x 2 inches = 168 cubic inches

Now let's find the volume of the pastry box:

Volume of pastry box = 3% inches x 3% inches x 2% inches = 0.009 cubic inches

Now, to find the difference in volume between the two boxes, we subtract the volume of the pastry box from the volume of the cereal box:

168 cubic inches - 0.009 cubic inches = 167.991 cubic inches

Hence, the difference in volume between the cereal box and pastry box is 167.991 cubic inches.

To learn more about Dimensions, Visit

https://brainly.com/question/27404871

#SPJ1

Answer:

30%

Step-by-step explanation:

Represent 15 out of 50 in fractions:

15/50

Simplify the fraction if you can and multiply by 100:

15/50 = 3/10

3/10 × 100 = 30%

1) y intercept in the given equation is 6

The graph's intersection with the y-axis is known as the y-intercept. Finding the intercepts for any function with the formula y = f(x) is crucial when graphing the function. An intercept can be one of two different forms for a function-t he x-intercept and the y-intercept. A function's intercept is the location on the axis where the function's graph crosses it.

An equation of a straight line is written in the form: y=mx+c

where y is the y-coordinate,

m is the slope of the line,

x is the x-coordinate

and c is the y-intercept

Thus, from the question, y=3/4x+6, we can say

m=3/4 and c=6

Thus, y intercept for this equation is 6

To know more about y intercept, visit brainly.com/question/14180189

#SPJ4

Answer: C. 4

Step-by-step explanation:

The number 1.006 x 10⁷ has four significant figures. The power of 10 in scientific notation doesn't influence the number of significant figures.

The number of significant figures in the number 1.006 x 10⁷ is determined by the digits of the number itself, excluding any powers of 10. The power of 10 in scientific notation doesn't influence the number of significant figures. So, here, we only consider 1.006 which has four digits, all of which are significant. Therefore, the number 1.006 x 10⁷ has 4 significant figures.

So, the answer is B) 4.

Learn more about Significant Figures here:

https://brainly.com/question/33741100

#SPJ2

The radian measure of an angle theta is the length of the arc that subtended angle 2Pi

We can measure angles in two forms degrees or Radians.

Radian can be described as a measure of the angle subtended by a circular arc. It can be defined as the ratio of the arc length subtending angle to the radius of the circle.

One radian is the measure of the angle subtended by an arc that is equal to the radius of the circle.

Therefore, the radians measure an angle theta the length of the arc.

Θ =s/r ,

where theta is the angle subtended, s is the arc length and r is the radius of the circle.

We know that the 2π radians = 360 degrees.

That subtends the angle in a circle of radius 2Pi

Therefore, The radian measure of an angle theta is the length of the arc that subtended angle 2 Pi

To learn more about the radian and degrees:

https://brainly.com/question/5563109

#SPJ4

Answer:

Step-by-step explanation:

Given two complementary angles labeled (4x)° and (x-5)°, you want an equation for finding x, and the measures of the two angles.

The equation will reflect the fact that the angles have a sum of 90°:

  4x +(x -5) = 90

The equation simplifies to ...

  5x -5 = 90

  5x = 95

  x = 19

  ∠1 = 4x° = 76° . . . . . . measure of larger angle

  ∠2 = (x -5)° = 14° . . . . . measure of smaller angle

__

Additional comment

The little square at the vertex of the angles means that is a right-angle corner. Its measure is 90°. The two angles 1 and 2 together make up that right angle. That is the relation you use to form the equation.

Rewriting (simplifying) the sum ...

  4x +(x -5) = 5x -5

tells you nothing about the value of x. Any value for x will satisfy this equation. In order to find x, you need to relate this sum to something other than itself. (There is a reason why the angle is marked as a right angle.)

In the equation for acceleration, a, equals final velocity - original velocity/time, acceleration would be negative if the numerator is negative.

The object is slowed down by the acceleration, which is acting against the motion. In this situation, your acceleration is negative. Positive value will be returned if your end velocity is lower than your initial velocity. The equation for acceleration can be related as:

Acceleration, a = [tex]v_{f}[/tex] - [tex]v_{i}[/tex] × [tex]\frac{1}{t}[/tex]

The general equation a = v/t denotes acceleration (a), which determines the change in velocity (v) over the change in time (t). This enables you to calculate the change in velocity in meters per second squared ([tex]m/s^{2}[/tex]). Since acceleration has both its magnitude and direvtion, it is a vector quantity.

To know more about acceleration, refer to the following link:

https://brainly.com/question/25256383

#SPJ4

C.) right and isosceles, but not equilateral

Answer:

C.) right and isosceles, but not equilateral

Step-by-step explanation:

An average and standard deviation in R is straightforward. The mean() function calculates the average and the sd() function calculates the standard deviation.

In information, the standard deviation is a degree of the quantity of variation or dispersion of a fixed of values. A low standard deviation indicates that the values tend to be near the implied (additionally called the predicted price) of the set, whilst an excessive preferred deviation suggests that the values are spread out over a wider variety.

Popular deviation can be abbreviated SD, and is maximum commonly represented in mathematical texts and equations by means of the decrease case Greek letter σ (sigma), for the population standard deviation, or the Latin letter s, for the sample general deviation.

The standard deviation of a random variable, pattern, statistical population, statistics set, or possibility distribution is the square root of its variance. it's miles algebraically easier, even though in exercise less sturdy, than the common absolute deviation.

To learn more about Standard deviation visit here:

brainly.com/question/23907081

#SPJ4

Answer:

blab blah??

Step-by-step explanation:

thats not a good question tbh

The variable restrictions on the rational equation 2x/5 = x+6/4 are 0,-6/4

Usually, simplification involves proceeding with the pending operations in the expression. Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form. Simplification usually involves making the expression simple and easy to use later.

Given;

2x/5 = x+6/4

Now, to find out the restrictions of the variable;

2x/5=0

2x=0

x=0

x+6/4=0

x=-6/4

Therefore, by simplification the restrictions will be 0 and -6/4

Learn more about simplification;

https://brainly.com/question/17579585

#SPJ1

Running a mile in five minutes is similar to moving at 12 mph (19.4 kph) on a treadmill.

the statutory mile, which has a length of 5,280 feet, is one example of a mile (1.609 km). Its original unit of measurement was the 5,000-foot-long Roman mile passus, often known as the "thousand paces."

Discover the distance formula, a Pythagorean theorem application, to determine the separation between two places. To get the separation between any two points, we can rewrite the Pythagorean theorem as d=((x 2-x 1)2+(y 2-y 1)2).

The formula for the distance between the points (a,b) and (c,d) is square root of (a,c)2 + (b,d)2. The distance in three dimensions between points (a, b, c) and (d, e, f) is equal to the square root of (a, d), (b, e), and (c, f)2.

We have,

Car speed = 0.4 miles per minute

We need to find the distance traveled in 30 minutes with a speed of 0.4 miles per minutes.

Speed is given by:

Speed = Distance / Time

Distance = Speed x Time

Distance = 0.4  x  30

Distance = 12 miles

To learn more about mile refer to:

brainly.com/question/24937565

#SPJ1

To solve for x in an equation, you will need to use algebraic techniques to isolate x on one side of the equation. The specific steps will depend on the equation you are trying to solve.

Here are a few examples of how to solve for x in different types of equations:

Linear equation: An equation of the form ax + b = 0, where a and b are constants. To solve for x, you would subtract b from both sides and then divide both sides by a.

Quadratic equation: An equation of the form ax^2 + bx + c = 0, where a, b, and c are constants. To solve for x, you would factor the equation or use the quadratic formula.

System of equations: A set of equations with multiple variables, such as 2x + 3y = 5 and 4x + 6y = 10. To solve for x, you would use elimination or substitution method.

A right triangle is a triangle with one right angle (90 degrees). The hypotenuse of a right triangle is the side opposite the right angle and is usually the longest side of the triangle.

To find the area of the triangle, you will need to use the base and the height of the triangle. In this case, the base of the triangle is 48cm and the height is the length of the side opposite to the right angle.

To find the length of the side opposite to the right angle, you can use the Pythagorean Theorem, which states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides. The theorem can be written as:

c^2 = a^2 + b^2

where c is the hypotenuse, and a and b are the other two sides.

So, substituting the values we have:

50^2 = a^2 + 48^2

2500 = a^2 + 2304

a^2 = 2500 - 2304

a^2 = 196

a = 14

Area of the triangle = (1/2) * base * height

= (1/2) * 48 * 14

= 336 cm^2

So, the area of the triangle is 336 cm^2

The area of the triangle is 336 cm²

The area of a triangle can be found using the formula:

Area = (1/2) × base × height

In this case, we know the base is 48cm and the hypotenuse is 50cm. To find the height, we can use the Pythagorean theorem, which states that the square of the length of the hypotenuse (a) is equal to the sum of the squares of the lengths of the other two sides (a and b) in the right triangle.

c² = a² + b²

So in this case, we have:

50² = 48²  + b²

Solving for b, we get:

b =√ 50² - 48²

b = √2500 - 2304

b = √196

b = 14 cm

So the height of the triangle is 14cm.

Now we can use this information to find the area:

area = (1/2) ×48 ×14 = 336 cm²

Hence, we can say the area of the triangle is 336 cm²

Know more about the Pythagorean theorem at :

https://brainly.com/question/343682