w - 1/2 = 8 1/4 solve for w

Answer:

here you go....

Step-by-step explanation:

Answer:

4p-5/7=a

Step-by-step explanation:

4p=12a+5-5a

4p-5=12-5a

4p-5=7a

4p-5/7=a

Answer:

Step-by-step explanation:

one over the six raised to the third power = 0.00462962962

Answer:

1/216 ≅ 0.00462963

Step-by-step explanation:

Don't know if you need decimal or fraction so I put both

1/6 X 1/6 X 1/6 = 1/216

=========================================================

Explanation:

gradient = slope

Pick any two points on the diagonal line and use the slope formula.

I'll pick the two points (0,4) and (4,10)

[tex](x_1,y_1) = (0,4) \text{ and } (x_2,y_2) = (4,10)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{10 - 4}{4 - 0}\\\\m = \frac{6}{4}\\\\m = \frac{3}{2}\\\\[/tex]

The slope is 3/2.

Meaning we go up 3 and to the right 2.

A linear function in slope-intercept form that only corresponds with this table is y = 2x + 8.

Mathematically, the slope-intercept form of a straight line is given by;

y = mx + b

Where:

Mathematically, the slope of any straight line can be calculated by using this formula;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

From the information provided, we have the following parameters:

Point (x, y) = (-1, 6)

Point (x, y) =  (0, 8)

Substituting the given points into the formula, we have;

Slope, m = (8 - 6)/(0 - (-1))

Slope, m = (2)/(0 + 1)

Slope, m = 2/1

Slope, m = 2.

In Mathematics, the y-intercept of a graph occurs at the point where the x-value is equal to zero (0), which is 8 in the table shown above.

Therefore, the slope-intercept form is given by:

y = mx + b

y = 2x + 8

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The statement that describes the account growth is D. The account is growing exponentially at an annual interest rate of 2.00%.

From the information, the table shows the balance of an investment account at the beginning of each year the account was held.

The percentage change for the second year will be:

= (510 - 500) / 500 × 100

= 10/500 × 100

= 2%

The percentage change for the third year will be:

= (520.20 - 510) / 510 × 100

= 10.20/510 × 100

= 2%

Therefore, there's. 2% growth.

The correct option is D.

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Answer:

D

Step-by-step explanation:

The simplified terms are 12.504 and 17.76 when the terms are in decimal.

Given that,

The numbers are 13.4-0.896 and 8.6 + 9.16

We have to simplify the terms.

We know that,

When a full number and a fraction are combined, decimals are used. The "." symbol, often known as a decimal point, will be used to demarcate the entire number from the fraction in this instance.

Take the numbers,

13.4-0.896

Subtracting the terms

12.504

Take the numbers,

8.6 + 9.16

Adding the terms

17.76

Therefore, The simplified terms are 12.504 and 17.76 when the terms are in decimal.

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The probability of a type I error is 0.022.

Given,

In the question;

It is not always possible to identify rare diseases by screening. A blood test that has been created by researchers is thought to be reasonably dependable. In 97% of those who suffer from a sickness, it produces a favorable response. However, 5% of those tested receive an incorrectly positive response because they do not have the condition.

The null hypothesis is given as "the individual does not have the disease".

We have to find the probability of type l error if the new blood test is used;

Here,

A: The individual does not have the disease

B: The individual does have the disease

We know that,

Type I Error is rejecting the true null hypothesis

Then, probability;

P (Type I Error) = P(Positive reaction to an individual who does not have the disease)  = 0.022

Hence, The probability of a type I error is 0.022.

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Answer:

900,000

Step-by-step explanation:

From the given table, we are told that the honeybee beats its wings at a rate of:

There are 60 seconds in a minute, and 60 minutes in an hour.

Therefore, there are:

To find how many times a honeybee can beat its wings in an hour, multiply the number of times it beats its wings per second by 3600:

⇒ 250 × 3600 = 900,000

Therefore, a honeybee beats its wings 900,000 beat per hour.

The coordinates of the image of reflecting (3, -2) across the line y = 5 are (3, 12)

When we reflect a point (x, y) across a horizontal line of the form:

y = a

The coordinates of the image after the reflection are:

(x, 2a - y)

In this case we have the point (3, -2), and we reflect this across the line y = 5, then the new coordinates are:

(3, 2*5 - (-2))

(3, 10 + 2)

(3, 12)

The coordinates after the image are (3, 12)

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Answer:

Step-by-step explanation:

First solve the equation:

-11y-9=2

-11y=11

y=-1.

We then take this and plug it back into the original equation:

8(-1)+3

-8+3

-5.

So your answer is -5.

Answer:

-0.16

Step-by-step explanation:

Divide the answer :)

Answer: B

Step-by-step explanation:

Answer:

Your answer is B

Step-by-step explanation:

The solution of the given integral [tex]\int \left(x^2+4\right)^3\cdot \:2xdx[/tex] = [tex]\frac{1}{4}\left(x^2+4\right)^4[/tex]

Given;

To evaluate the value of a given integral;

[tex]\int \left(x^2+4\right)^3\cdot \:2xdx[/tex]

Let;

[tex]\int \left(x^2+4\right)^3\cdot \:2xdx[/tex] = [tex]2\cdot \int \left(x^2+4\right)^3xdx[/tex]

Now, assume u = x² + 4

→ [tex]2\cdot \int \left(x^2+4\right)^3xdx[/tex] = [tex]2\cdot \int \frac{u^3}{2}du[/tex]

→ [tex]2\cdot \frac{1}{2}\cdot \frac{u^4}{4}[/tex]

→ [tex]2\cdot \frac{1}{2}\cdot \frac{u^4}{4}[/tex]

→  [tex]\frac{1}{4}\left(x^2+4\right)^4[/tex]

By adding constant C;

[tex]\frac{1}{4}\left(x^2+4\right)^4[/tex]+ C

Hence, the solution of the given integral [tex]\int \left(x^2+4\right)^3\cdot \:2xdx[/tex] = [tex]\frac{1}{4}\left(x^2+4\right)^4[/tex]

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The linear equation is equal to

y = -3x + 8

m = slope

x = input variable

c = 8

The given equation is linear function or linear equation

A linear function consists of functions where the variables has exponents of 1. The graph of linear functions is a straight line graph and the relationship is expressed in the form.

y = mx + c

Definition of variables to suit the problem to be solved

y = output variable

m = slope

x = input variable

c = y intercept

In comparison, to the linear equation given as equal to

y = -3x + 8

m = -3

x = input variable

c = 8

putting the input variables gives out put accordingly

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The probability that no two ants will reach the same vertex is 5/256.

Plane, point B and attention. Ants that move to D can come from either E or C. Ants moving to E can come from either B or D of points A and F of the octahedron. Therefore, there are 2 degrees of freedom to decide which ants move to D, 2 degrees of freedom to decide which ants move to E, and 2 degrees of freedom to decide which ants move to A.

So there are 2× 2× 2=8 ways an ant can move to different points.

There are 8 ways for ants to move to different points.

Points B, there are a total of 8 + 4 + 8 = 16 ways Ant can move to her different points. Aligned the square so that point B is defined as point where the ant moved from point A.

An ant can actually move from point A to 4 different points, so there are a total of 4×20=80 ways an ant can move to different points.

Each ant acts independently and has 4 different points to choose from.

So each ant has a 1/4 chance of moving to the desired location. Since he has 6 ants, the probability of appearance is

= 1/4096

So, the desired answer is 80/4096

= 5/256

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An algebraic representation which best describes this transformation is: C. (x, y) → (5x/2, 5y/2).

In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

By critically observing the graph, we can logically deduce the following vertices:

In this scenario, the transformation rule is given by this algebraic representation:

Q (x, y)                      →               Q' (x, y)

Coordinate Q = (2, 0)   →  Coordinate Q' = ((5/2 × 2), (5/2 × 0)) = Coordinate Q' = (5, 0).

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The slope of the line is -1/2, the coordinates of midpoint is (1,3) and the equation of perpendicular bisector is y = 2x + 1

The slope of a line is a measure of its steepness.

Given that, a line segment has end points = A(-1,4) and B(3,2)

(i) Slope = (y2 - y1)/(x2 - x1) = -1/2

(ii) Coordinates of the midpoint of a line = (Xm, Ym) = (x₁ + x₂)/2, (y₁ + y₂)/2

(Xm, Ym) = (-1+3)/2, (4+2)/2 = (1,3)

(iii) The slope of the two lines perpendicular to each other are negative reciprocal of each other, so, slope of the line perpendicular to the given line is = 2

Standard equation of a line = y = mx + c

Since the line is the perpendicular bisector of AB, it will pass through (1,3)

Solving for c,

3 = 2*1 + c

c = 1

Therefore, the equation of the of line perpendicular to AB is

y = 2x + 1

Hence, the slope of the line is -1/2, the coordinates of midpoint is (1,3) and the equation of perpendicular bisector is y = 2x + 1

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Answer:

Rema receives 90 sweets

Step-by-step explanation:

See attached image

Estimate product of (-25.31) (9.61) using compatible numbers is equal to -250.

As given in the question,

Given expression is equal to :

( -25.31 ) ( 9.61 )

Compatible numbers to calculate the estimate product we have,

Compatible number for ( -25.31 ) is equal to ( -25 ) .

-25 > -25.31 > -26

-25.31 is more nearer to -25 .

Now, 9 < 9.61 < 10

Compatible number for 9.61 is equal to 10 as 9.61 is more close to 10.

( -25.31 ) × ( 9.61 )

= ( -25 ) × (10)

= 250

Therefore, estimate product of (-25.31) (9.61) using compatible numbers is equal to -250.

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The equation of the exponential function represented by the table y = 0.12x + 0.01

From the table choose two points

The first point = (1, 0.04)

The second point = (2, 0.16)

The slope of the line is the change in y coordinate with respect to the change in x coordinate of the function

The slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute the values in the equation

The slope of the line = (0.16 - 0.04) / (2-1)

= 0.12/1

= 0.12

From the table we can see that at x = 0 the value of y = 0.01, then the value of y intercept is 0.01

The slope intercept form is

y = mx + b

Substitute the values in the equation

y = 0.12x + 0.01

Hence, the equation of the exponential function represented by the table y = 0.12x + 0.01

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Answer:

x=8

No it’s not an equilateral

Step-by-step explanation:

Since side AB is about the same length as BC we can set them equal to each other

x-1=7

 +1 +1

x=8

This is not an equilateral because if you fill in X for the third side you will get 5

8-3=5

The co-ordinates of J'K'L'M'N' are (0,5), (-2,3), (-3,4), (-4,1), (-1,2)

What is Co-ordinate Geometry?

Coordinate geometry is a field of mathematics that assists in displaying geometric forms on a two-dimensional plane and learning the attributes of these figures.

Solution:

The co-ordinates of J'K'L'M'N' are (0,5), (-2,3), (-3,4), (-4,1), (-1,2)

From the figure it can be clearly observed that

a) L' is located at (-3,4) - True

b) M' is located 4 units left of the y - axis - True

c) The y - co ordinate of zN' is the opposite of the y - co ordinate of N - False

d) J'K' = JK - False

e) M' is located at (-4,1) - True

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It will take 11 years for the canyon floor to have an elevation of −31 feet.

A mathematical statement known as an equation makes two expressions' values equal. It is a mathematical statement that says "this is equivalent to that," in other words. The left side appears to be a mathematical expression, the centre appears to be an equal sign, and the right side is another mathematical expression. The right side of the equation frequently has a value of zero.

Given,

The first step in this situation is to define the variables.

So, we have:

x: the age in years

y: height in feet

The equation used to model the issue is then written.

So, we have:

y = 1.5x - 14.5

Then, at a -31 foot elevation, we have:

-31 = 1.5x - 14.5

For years,

x = -16.5/1.5

x = 11

In 11 years it will take for the canyon floor to have an elevation of −31 feet.

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Answer: 8

[tex]m^{2} = 9+55\\m^{2} = 64\\m=8[/tex]

Answer: m = 8

9 + 55 = 64

[tex]\sqrt{64}[/tex] = 8

[tex]8^{2}[/tex] = 64

From the given data, total number of hamburgers of (1/4) pounds each using 2 1/2 pounds of ground beef is equal to 10.

As given in the question,

Total pounds of hamburger need to be made = 1 / 4 pounds

Total pounds of ground beef is used to make hamburger = 2 1 / 2 pounds

Let us consider 'n' be the total number of hamburger to be made each of

1 / 4 pound .

Required equation to show the given relation is given by:

n × ( 1 / 4) = 2  1/ 2

Convert mixed fraction into proper fraction we get,

⇒ n × ( 1 / 4) = 5 /2

⇒ n = ( 5/ 2) × ( 4 /1)

⇒ n = 5 × 2

⇒ n = 10 hamburgers

Therefore, from the given data, total number of hamburgers of (1/4) pounds each using 2 1/2 pounds of ground beef is equal to 10.

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Based on the calculations, the distance between points (-5, -5) and (-9, -2) on a coordinate plane is equal to: A. 5 units.

Mathematically, the distance between two (2) points that are on a coordinate plane can be calculated by using this formula:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Given the following points:

Substituting the given points into the formula, we have;

Distance = √[(-2 - (-5))² + (-9 - (-5))²]

Distance = √[(-2 + 5)² + (-9 + 5)²]

Distance = √[3² + 4²]

Distance = √[9 + 16]

Distance = √25

Distance = 5 units.

In conclusion, we can logically deduce that the distance between the given points on a coordinate plane is 5 units.

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Complete Question:

What is the distance between (-5, -5) and (-9, -2?

Choose 1 answer:

A. 5

B. 7

C. √12

D. √29

Answer:

1.5 minutes (or 1 minute and 30 seconds)

Step-by-step explanation:

5 : 40 = x : 12

x = (5 * 12)/40

x = 12/8

x = 1.5 minutes

Answer: 1 min and 50 seconds

Step-by-step explanation:

first, you have to find the unit rate of how many papers the printer can make in a min which is 40 divided by 5 which gets you a unit rate of 8 for every minute then you take your 12 paper and divide it by your unit rate of 8 per minute which gets you how long it would take to print 12 papers which equal 1.5

Answer:

the answer is c, 6 3/4.

Step-by-step explanation:

Using the theories of archaeology, we got that date on the coin represents

a terminus post quem if a coin with a date on it is found in a sealed archaeological deposit.

Potassium-argon dating: This absolute dating method was actually developed by the A.E. Douglass, an American astronomer, chiefly from work he conducted at the Pueblos of American Southwest tree-ring dating Layers of the sediments resulting from the melting of ice sheets and deposited in the lakes on an annual basis are known as varves

Hence, if a coin with a date on it is found in a sealed archaeological deposit, and we know that the deposit can be no older than the date on the coin. in that situation the date on the coin represents a terminus post quem.

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