Evaluate each expression 10+8^3 divid 16

The equation of the line is: y = 4x + 37

m = 4

b = 37

The equation of the line that is perpendicular to x + 4y = 12, will have a slope that is the negative reciprocal of the its slope.

Rewrite the equation, x + 4y = 12 in slope-intercept form:

4y = -x + 12

y = -x/4 + 3

The slope is -1/4. Therefore, the slope of the perpendicular line would be 4.

Substitute m = 4 and (a, b) = (-8, 5) into y - b = m(x - a)

y - 5 = 4(x - (-8))

y - 5 = 4x + 32

y = 4x + 32 + 5

y = 4x + 37

The equation of the line is: y = 4x + 37

m = 4

b = 37

Learn more about the equation of a line on:

https://brainly.com/question/13763238

#SPJ1

the bacterial cell is 6.25*10 times smaller than the amoeba cell.

To find how many times smaller is the bacterial cell than the amoeba cell, we need to take the quotient between the amoeba cell's length and the  bacterial cell's length

We know that:

bacterial cell's length = 4*10^(-6) m

amoebas cell's length. = 2.5*10^(-4) m

The quotient gives:

Q = ( 2.5*10^(-4) m)/(4*10^(-6) m) = (2.5/4)*(10^(-4)*10^6) = 0.625*10^(-4 + 6)

Q = 0.625*10^2

Now we want this in scientific notation, so we need to have a digit in the left fo the decimal point, so we can rewrite this as:

Q = 0.625*10^2 = 6.25*10^1 = 6.25*10

Then the bacterial cell is 6.25*10 times smaller than the amoeba cell.

If you want to learn more about scientific notation:

https://brainly.com/question/5756316

#SPJ1

The given sentence about equilateral triangle is true.

A statement is given in the question.

We have to tell whether the statement is true or false.

What is an equilateral triangle ?

An equilateral triangle is a triangle in which all sides and all angles are equal.

As per the question ;

The statement given is , "An equilateral triangle is always equiangular."

Let's check whether it is true or false ;

We know that ,

Equiangular meant equal angles and we know that all the angles of equilateral triangle are equal.

Also ;

An equilateral triangle can also said as an isosceles triangle, that meant any two sides that are equal have equal opposite angles.

So ;

All three sides of an equilateral triangle are equal, all three angles are equal, too. We can conclude that every equilateral triangle is also equiangular.

Thus , the given statement about equilateral triangle is true.

To learn more about equilateral triangles click here ;

https://brainly.com/question/22762684

#SPJ4

Answer:

1. 7.8

2. -1/5

3. -16.2

4. -25/8

Step-by-step explanation:

-

Answer:

7.8

-0.2

-16.2

-3.125

I really hope it helps

ps: from ultra instinct Giga Chad

Answer:

Vertical: x = 1

Horiz: y = 8

Step-by-step explanation:

The equation of a

vertical line is always:

x = anumber

The equation of a horizontal line is in the form:

y = anumber

In the question a point is given, the point (1,8) is in the form (x,y) So x is 1 and y is 8.

We can fill in this given information to complete the equations.

Vertical: x = 1

Horizontal: y = 8

In Jared's experiment, we can conclude that; No, cause-and-effect relationships can be established only by collecting observations from

nature, not from a controlled experiment.

The correlation coefficient is simply the specific measure that quantifies the strength of the linear relationship between two variables in a correlation analysis. It varies from -1 to 1.

Now, we are told that the correlation coefficient is 0.93. This means that it is close to 1. Now, we know that when the correlation coefficient is near 1 or −1, the linear relationship is strong; when it is near 0, the linear relationship is weak.

We also know that correlational studies allow researchers to detect the presence and strength of a relationship between variables, while experimental studies allow researchers to look for cause and effect relationships.

Thus, in Jared's experiment, we can conclude that; No, sunlight doesn't cause pea plant growth because  cause-and-effect relationships can be established only by collecting observations from

nature, not from a controlled experiment.

Read more about Correlation Coefficient at; https://brainly.com/question/28196194

#SPJ1

The required error in Caroline's quadratic equation in vertex form by completing the square is -2(x² - 6x + 9) - 9 - 15 is should be -18 in place of -9.

Given that,
To figure out the error made by Caroline in the calculation of a quadratic equation in vertex form by completing the square.

His calculation,
= -2x² + 12x - 15

= -2(x² - 6x) — 15

= -2(x² - 6x + 9) - 9 - 15-2(x - 3)²9 - 15
= -2(x - 3)² - 24

Correct calculation,
= -2x² + 12x - 15
= -2(x² - 6x) - 15

= -2(x² - 6x + 9) - 18 - 15
= -2(x - 3)² - 18 - 15
= -2(x - 3)² - 33

Thus, the required error in Caroline's quadratic equation in vertex form by completing the square is -2(x² - 6x + 9) - 9 - 15 is should be -18 in place of -9.

Learn more about simplification here:
https://brainly.com/question/12501526

#SPJ1

Answer:

3. function, but not one to one

Step-by-step explanation:

If you do a vertical line test anywhere you draw a vertical line will only hit in one spot

If you do a horizontal line test to check If the line is one to one it hits in multiple spots therefore the line that is graphed is a function but not one to one

Answer:

[tex]{ \tt{ {x}^{2} + 6x + 2 = 0}} \\ { \tt{ {x}^{2} + 6x = - 2 }}[/tex]

- Add the square of the half of the sum on either sides:

[tex]{ \tt{ {x}^{2} + 6x + ( { \frac{6}{2}) }^{2} = - 2 + {( \frac{6}{2}) }^{2} }} \\ \\ { \tt{ {x}^{2} + 6x + 9 = - 2 + 9}} \\ { \tt{ {(x + 3)}^{2} = 7}} \\ { \tt{x + 3 = \sqrt{7} }} \\ { \tt{x = - 3 \pm2.648}} \\ { \tt{x = ( - 3 \pm \sqrt{7} )}}[/tex]

The value of QR when points P, Q, R and S are collinear is .13

We are given that:

Points P, Q, R and S are collinear points.

Also,

PS = 23

PR = 18

We need to find the value for QR.

Now, we have that PQ is congruent to RS.

So, This means that PQ = RS

This can also be written as:

PR - QR = RS

18 - QR = RS

Also,

PR + RS = PS

Substituting the values, we get that:

18 + ( 18 - QR ) = 23

18 - QR = 23 - 18

18 - QR = 5

QR = 18 - 5

QR = 13

Therefore, we get that, the value of QR when points P, Q, R and S are collinear is .13

Learn more about collinearity here:

https://brainly.com/question/1655368

#SPJ9

Answer:

why isnt there a backround base? it wouldnt be area if isnt so

Step-by-step explanation:

The area is 960 m

because 48*15=720

and 10*24=240

720+240= 960

Answer:

5000.00 gives us 350

4000.00 gives us 360

Natalie will be paid $656.61 for a week and for summer $10505.76.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that Natalie earns $15.27 per hour while working as a playground supervisor for 8 weeks throughout the summer. Although she works a 40-hour week, she typically puts in 3 hours of overtime.

For a week = ( 40 + 3 ) x 15.27 = $656.61

For a summer = 4 x 4 = 16 weeks

For a summer = 16 x $656.61 = $10505.76

Therefore, Natalie will be paid $656.61 for a week and for summer $10505.76.

To know more about an expression follow

https://brainly.com/question/19559844

#SPJ1

f (9) =  - 5/2 is the output for the given input .

How can you tell whether a function is linear or not?

f(x)= (2/9)x - (9/2)

Put x = 9    ⇒   (2/9) * 9 - (9/2)

                ⇒   2 - 9/2

                ⇒  -5/2

Therefore f (9) =  - 5/2

Learn more about linear function

brainly.com/question/14695009

#SPJ4

Answer:

Step-by-step explanation:

The expression is simplified to n - 16/ 4

Algebraic expressions are expressions comprising of terms, variables, factors, constants and coefficients.

They are also made up of mathematical operations such as addition, subtraction, multiplication, division, bracket, etc.

Given the expression;

− 3/2(1/2 n+2n−3)+4n

Solve the variables in the bracket, we have;

- 3/ 2 {   n + 4n - 6 / 2} + 4n

-3/2 { 5n - 6/ 2 } + 4n

expand the bracket

- 15n - 18/ 4 + 4n

Fin the LCM

-15n - 16 + 16n  /4

n - 16/ 4

Thus, the expression is simplified to n - 16/ 4

Learn more about algebraic expressions here:

https://brainly.com/question/4541471

#SPJ1

From 125 yards, a marksman hit 55.6 of the targets last year, which is equal to (55.6 × 100)% that is 5560%

A percentage (from Latin: per centum, "by a hundred") is a number or ratio stated as a fraction of 100 in mathematics. The abbreviations "pct.", "pct.", and occasionally "pc" are also used to indicate it, while the percent symbol, "%," is most frequently employed. A percentage is a dimensionless (pure) number; it does not have a unit of measurement.

A percentage is a fraction or a ratio in which the full number is always 100. For example, if Sam received 30% on his arithmetic test, he received 30 points out of a possible 100. It is written as 30/100 in fraction form and 30:100 in ratio form.

Learn more about percentage

https://brainly.com/question/24304697

#SPJ1

Full question

Rewrite the decimal in the sentence below as a percentage.

From 125 yards away, a marksman hit 55.6 of the targets last year.

You can see the graphs in the attached image. The order is the same as on page. Note that 7. and 8. give us an infinite number of solutions, and no solutions, respectively.

When two sides are provided without an angle measurement, such as a = 13m and b = 17m , we can create an infinite number of obtuse triangles.

As an example:

How many different obtuse triangles can we make if our side lengths are 13m and 17m, and our angle value ranges from 90 to 360 degrees?

Make a triangle with sides of 13m and 17m metres, a 120 degree angle, and a third side that can be protractored to the length you desire. You've constructed a triangle.

We may create a whole different triangle that is identical to this one by altering the third side's length and angle.

You must always remember to select the side lengths and angles. It's hinted that you could choose another course of action. There are an infinite amount of distinct triangles that can be created by using the same angles.

Thus, we can make an infinite number of triangles by employing a single angle and a single side length.

To learn more about, Triangles here

brainly.com/question/2773823

#SPJ4

Using the definition of slope, the triangle with vertices (3 , 5), (-2 , 6), and (1 , 3) is a right triangle.

The slope, m, determines the steepness of a line. It can be measured by the vertical distance from one point to another divided by the horizontal distance of the same points.

m = (y2 - y1)/(x2 - x1)

To prove that the triangle with vertices (3 , 5), (-2 , 6), and (1 , 3) is a right triangle, there should be a pair of adjacent lines perpendicular with each other(forms 90 degree angle). The slope of this pair of adjacent lines must be negative reciprocal of one another.

let A = (3 , 5)

B = (-2 , 6)

C = (1 , 3)

Determine the slope of each line of the triangle: AB, BC, AC.

AB : m = (6 - 5)/(-2 - 3) = 1/-5 = -1/5

BC : m = (3 - 6)/(1 - -2) = -3/3 = -1

AC : m = (3 - 5)/(1 - 3) = -2/-2 = 1

-1 is the negative reciprocal of 1. The slope of BC is the negative reciprocal of the slope of AC, hence, side BC is perpendicular with each other.

Therefore, the triangle with vertices (3 , 5), (-2 , 6), and (1 , 3) is a right triangle.

Learn more about slope here: brainly.com/question/16949303

#SPJ4

Determine whether each infinite geometric series diverges or converges.

The series converges.

If the series converges, state the sum. 4+2+1+ . . .

The sum of the infinite series is 8

What is the sum of the infinite series?

Given:

[tex]a(\text{ the first term})=4\\\\r(\text{ the common ratio})= \frac{a_2}{a_1} = \frac{2}{4}=\frac{1}{2}[/tex]

Since , [tex]\vert r\vert < 1[/tex]  , the  infinite series converges.  

The sum of infinite geometric series is:

[tex]S_\infty=\frac{a}{1-r} ; -1 < r < 1\\\\S_\infty=\frac{4}{1-\frac{1}{2} } =\frac{4}{\frac{1}{2} }=8[/tex]

The sum of the infinite series is 8

What is an infinite geometric series?

To learn more about infinite geometric series, refer:

brainly.com/question/27350852

#SPJ4

Ricky has the number of stamps in the number of 15 stamps.

According to the question, the given parameters can be used to form the expression by using simplification method and the parameters are as follows:

Stamps for Ana: 8

Stamps for Ricky and Ana: 23

Given equation: 23 = r + 8

The equation formed by the simplification method is:  r + a = 23

Solving above two equations, we get a = 8 stamps and r = 15 stamps.

Hence, Ricky has the number of stamps in the number of 15 stamps.

What is simplification?

The word simplification is the procedure in which complicated expression can be written in a simpler form to make the calculation easy. This method is used to calculated the answers for the unknown quantity.

To learn more about the simplification in fraction from the given link:

brainly.com/question/432678

#SPJ1

Answer:

32

Step-by-step explanation:

Sorry for not neat explanation but i hope u understand

Answer:

32?

Step-by-step explanation:

when i did it with a Pythagorean theorem calculator i got 32

The distance from the center of a circle to a point in the interior of a circle is always less than radius of the circle.

It is given that there is a point inside the circle.

We have to find that whether its distance from center of circle is sometimes, always, or never less than the radius of the circle.

What is the radius of a circle ?

The distance between the center of a circle and any point on the circle is called the radius of circle.

We know that ;

Radius is the distance between the center of a circle and any point on the circle.

Let's assume three points which are A, B, and C, where A is a point inside circle, B is a point on circle, and C is a point outside circle.

Also ;

O is the center of circle.

So ;

OA = the length of the line from center to point inside the circle.

OB = radius of the circle.

OC = the length of the line from center to the point outside the circle.

So ;

We can conclude that ;

OA<OB<OC.

or

The length of the line from the center of a circle to any point inside the circle will be always less than it's radius.

Thus , the distance from the center of a circle to a point in the interior of a circle is always less than radius of the circle.

To learn more about circle click here ;

https://brainly.com/question/28179860

#SPJ4

Answer:

[tex]g(x) = 2 {x}^{2} + 1 \\ g(0) = 2 ({0})^{2} + 1 \\ = 2(0) + 1 \\ = 1[/tex]

The expression for h in the information illustrated will be h = 2r.

It should be noted that the expression is given as:

2πr³ = πr²h

In this situation, the information is that we should make h the subject of the formula.

This will be:

2πr³ = πr²h

Divide both side by πr²

2πr³/πr² = πr²h/πr²

2r = h

Therefore h = 2r

Learn more about expressions on:

brainly.com/question/25968875

#SPJ1

I believe the answer would be Y=125+25(h

Answer: 125 + 25h

Step-by-step explanation:

The total amount of money is the cost of the window plus the amount of hours.

Answer: 70,464 people

Step-by-step explanation:

         We will write an equation to help us solve. Note that a percent divided by 100 becomes a decimal and that "of" means multiplication in mathematics. Let x be the number of people who will support the measure.

96% of 73,400 voters will support the local measure.

(0.96)(73,400) = x

70,464 people = x

We can conclude that in the question, angle m∠ABC = 58°.

So,

∠EBD is 29° and line EB bisects ∠CBD.

Similarly, ∠CBD = 58° and line CB bisects ∠ABD

Hence, ∠ABC = 58° as ∠CBD is also 58° because common line BC bisects the angle ∠ABD.

Therefore, angle m ∠ABD = 58°.

Know more about angles here:

https://brainly.com/question/25716982

#SPJ9