Write an equivalent expression by distributing the "-−" sign outside the parentheses: -(-8r-9.8s)+8.1

Answer:

5 m/s

Step-by-step explanation:

Divide the distance by Karl's time to find the rate at which Karl was running:

150/30 = 5 meters per second

Answer:Arnold earns $87 of interest in 5 years.

Step-by-step explanation:

Answer:

47.5 games

Step-by-step explanation:

Finding A :

⇒ Games by A : Games by B = 3 : 1

⇒ Games by A : 10 = 3 : 1

⇒ Games by A = 30

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

Finding C :

⇒ Games by B / Games by C × Games by A / Games by B = 3 × 4/3

⇒ Games by A / Games by C = 4

⇒ Games by C = 30/4

⇒ Games by C = 7.5

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

Total games won :

⇒ Games by A + Games by B + Games by C

⇒ 30 + 10 + 7.5

⇒ 47.5 games

Answer:

Step-by-step explanation:

The root which is 2 is the fractional portion of your exponent

\(\sqrt{x^{7} y^{12} }\)

=\((x^{7} y^{12} )^{\frac{1}{2} }\)              >You can distribute 1/2 to each term by multiplying

\(=x^{\frac{7}{2} } y^{6\)

The length AD of the right-angle triangle ΔADB will be 9 units.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

AB² = BD² + AD²

15² = 12² + AD²

225 = 144 + AD²

AD² = 81

AD = 9

The length AD of the right-angle triangle ΔADB by Pythagorean theorem will be 9 units.

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Answer:

the answer is table 2

Step-by-step explanation:

and you don't suck you just have to try harder

hope this helped

Answer:

The pepper plant has 15 fruits on it.

Step-by-step explanation:

Let the tomato plant have x plants. Let the pepper plant have y plants. Since the pepper plant has 2/3 more fruits on it than the tomato plant, we have that y - x = 2x/3

collecting like terms,

y = 2x/3 + x

The above is the number of plants the pepper plant has.

y = 2x/3 + x

y = (2x + 3x)/3

y = 5x/3

Since x = number of fruits on tomato plant = 9, then

y = 5x/3

y = 5(9)/3

y = 5 × 3

y = 15

Since y = number of fruits on pepper plant = 15

So, the pepper plant has 15 fruits on it.

The surface area is increasing at a rate of per millimeter is equal to 72 mm^2  , relation using chain rule is ds/dt = dS/dr × dr/dt and surface area of tumor per hour is decreasing at a rate of 24square millimeters per hour.

Surface area of a tumor is ,

S= 4tr^2

To find dS/dr,

Take the derivative of Sr with respect to r,

dS/dr = d/dt (4tr^2)

         = 8tr

Sign of dS/dr is positive.

which means that as r increases, the surface area of the tumor increases.

Specifically, when r = 3 mm, the surface area changes at a rate of,

dS/dr

= 8tr

= 8(3)(3)

= 72 mm^2/mm

Surface area is increasing at a rate of 72 mm^2 per millimeter increase in radius.

If the surface area changes as a function of time,

Use the chain rule to relate the rate of change of surface area,

ds/dt, to the rate of change of radius, dr/dt,

ds/dt = dS/dr × dr/dt

Rate of change of surface area

=  product of rate of change of radius and  derivative of surface area with respect to radius.

If dr/dt = -1 mm/hr when r=3 mm,

Radius of the tumor is decreasing at a rate of 1 millimeter per hour when it is 3 millimeters in size.

Using the relation from above part, the rate of change of surface area,

ds/dt

= dS/dr × dr/dt

= 8tr × (-1)

= -24mm^2/hr

⇒the tumor is shrinking and the rate of surface area decrease is proportional to the current surface area.

Therefore, Surface area of tumor is increasing at a rate of 72 mm^2 per millimeter , ds/dt = dS/dr × dr/dt and surface area of the tumor is decreasing at a rate of 24square millimeters per hour.

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A line of best fit is a line drawn at average distance to a series of scattered points. Thus, the correct option is:

Option B. The data point is 4. 5 units below the line of best fit.

A graph is said to be formed by plotted points on a Cartesian coordinate plane. When the plotted points are scattered, a line of best fit is required to shoe the relationship among the plotted points.

A residual value is a form of error that is determined from the line of best fit. A line of best fit is a line drawn at average point to a series of plotted scattered points.

Therefore, a residual value of 4.5 with respect to a line of best fit implies that: The data point is 4. 5 units below the line of best fit.

Thus the correct option is B.

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Answer:

What does a residual value of –4.5 mean in reference to the line of best fit?

❌ O A) The data point is 4.5 units above the line of best fit.

❌ O C) The line of best fit is not appropriate to the data.

❌ O D) The line of best fit has a slope of –4.5.

i Guest it So Your Answer is B . Have a Nice Day.

Answer:

n = \(-5\)

Step-by-step explanation:

Two Laws of indices will be applied here:

\(\frac{a^{m}}{b^{m}} = a^{m - n}\)

\(a^{m}\) × \(a^{n}\) = \(a^{m + n}\)

Applying the above stated laws on the left side of the equation and the resulting simplified term will then be equated to the right side of the equation:

\(\frac{y^{4}* y^{n}}{y^{2}}\) = \(\frac{y^{4 + n}}{y^{2}}\)

        = \(y^{(4 + n) - 2}\) = \(y^{-3}\)

It can be observed that the bases in both sides of the equation are the same, therefore their respective indices (or powers) are equal to each other:

         \((4 + n) - 2 = -3\)

Expand the parenthesis and bring all the like terms together:

               \(4 + n - 2 = -3\)

               \(n = -3 + 2 - 4\)

n is isolated and made the subject of the equation. Thus, we are able to solve for n:

         n = \(-5\)

Step-by-step explanation:

Let,

Cost of movie = $ x

Cost of video game = $ y

In case 1

2x + 6y = 40 (1)

In case 2

5x + 3y = 25 (2)

On multiplying Eq. #2 by 2

2(5x + 3y) = 2(25)

10x + 6y = 50 (3)

On subtracting 1 and 3

10x + 6y - 2x - 6y = 50 - 40

8x = 10

x = 10/8

x = $ 4/5

From 1

2 × 4/5 + 6 × y = 40

8/5 + 6y = 40

6y = 40 - 8/5

6y = 200 - 8/5

6y = 192/5

y = 192/5 × 1/6

y = $ 32/5

The answer would be -36

Answer:

no solution

Step-by-step explanation:

simplifying

6(y + -5) = 2(10 + 3y)

reorder the terms:

6(-5 + y) = 2(10 + 3y)

(-5 * 6 + y * 6) = 2(10 + 3y)

(-30 + 6y) = 2(10 + 3y)

-30 + 6y = (10 * 2 + 3y * 2)

-30 + 6y = (20 + 6y)

add '-6y' to each side of the equation.

-30 + 6y + -6y = 20 + 6y + -6y

combine like terms: 6y + -6y = 0

-30 + 0 = 20 + 6y + -6y

-30 = 20 + 6y + -6y

combine like terms: 6y + -6y = 0

-30 = 20 + 0

-30 = 20

solving for:

-30 = 20

the left and right sides are not equal, so there isn't any solution!

Equivalent ratios for 4 customers entering a store over 6 minutes are (4,6), (2,3), (1,1.5), and (8,12), and can be represented on a Cartesian plane to show the relationship between time and number of customers.

To create a table of equivalent ratios, you can set up a proportion between the number of customers and the time in minutes:

x customers / 6 minutes = y customers / 1 minute

Solving for y,

y = (1 minute * x customers) / 6 minutes

Simplifying,

y = x/6

Using this formula, you can fill out a table of equivalent ratios for the number of customers and time:

To plot the points on a coordinate axis, you can use a Cartesian plane with time on the x-axis and number of customers on the y-axis. For example, the point (6, 4) represents 4 customers entering the store in 6 minutes, while the point (1.5, 1) represents 1 customer entering the store in 1.5 minutes.

The table shows the relationship between the number of customers and the time. As the time increases, more customers enter the store, and the ratio between the number of customers and time remains the same. The plotted points on the coordinate axis represent each scenario where customers entered the store in a given amount of time. The data can be used to make predictions about future customer traffic and plan staffing needs accordingly.

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Answer: Random Sampling

Step-by-step explanation:

The act of collecting data that are representative of the population data is called random sampling.

In the given situation:

The independent variable is: Time or months. Delilah's saving and accumulation of money depend on the passage of time.

The dependent variable is: Amount of money saved. The amount of money Delilah has saved is dependent on the number of months that have passed and her consistent savings of $15 each month.\(\)

Using quantifiers; a) ∀ student ∈ this class, ∃ exactly 2 mathematics classes ∈ this school that the student has taken and b) ∃ person, ∀ country ∈ the world (country ≠ Libya), the person has visited that country.

a) "Every student in this class has taken exactly two mathematics classes at this school."

In this statement, we have two main quantifiers:

Universal quantifier (∀): This quantifier denotes that we are making a statement about every individual student in the class. It indicates that the following condition applies to each and every student.

Existential quantifier (∃): This quantifier indicates the existence of something. In this case, it asserts that there exists exactly two mathematics classes at this school that each student has taken.

So, when we combine these quantifiers and their respective conditions, we get the statement: "For every student in this class, there exists exactly two mathematics classes at this school that the student has taken."

b) "Someone has visited every country in the world except Libya."

In this statement, we also have two main quantifiers:

Existential quantifier (∃): This quantifier signifies the existence of a person who satisfies a particular condition. It asserts that there is at least one person.

Universal quantifier (∀): This quantifier denotes that we are making a statement about every individual country in the world (excluding Libya). It indicates that the following condition applies to each and every country.

So, when we combine these quantifiers and their respective conditions, we get the statement: "There exists at least one person who has visited every country in the world (excluding Libya)."

In summary, quantifiers are used to express the scope of a statement and to indicate whether it applies to every element or if there is at least one element that satisfies the given condition.

Therefore, Using quantifiers; a) ∀ student ∈ this class, ∃ exactly 2 mathematics classes ∈ this school that the student has taken and b) ∃ person, ∀ country ∈ the world (country ≠ Libya), the person has visited that country.

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The measure of the angle 2 is 133° and the measure of the angle 3 is 47°.

They are a lot of  classifications for angles like: complementary angles, supplementary angles, right angles, and others. See below:

From the figure, it is possible to see that:

- the angles 1 and 3 are supplementary angles

- the angles 2 and 3 are supplementary angles

Therefore, if angle1  is 133°, you have:

angle_1 + angle_3 = 180

133 + angle_3 = 180

angle_3=180-133

angle_3=47°

If angle3  is 47°, you have:

angle_3 + angle_2 = 180

47+ angle_2 = 180

angle_2=180-47

angle_2=133°

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Answer:

128 <33

Step-by-step explanation:

6 ÷ 3 + 32 • 4 - 2 = 128

▪︎▪︎▪︎▪︎▪︎▪︎

Answer: 73 / 66

Step-by-step explanation:

The slope of a line is the change in y-coordinates divided by the change in x-coordinates. For the given points, the change in x-coordinates is 48 - (-18) = 66, and the change in y-coordinates is 87 - 14 = 73. Therefore, the slope of the line that passes through the points is 73/66 = approximately 1.1.

Answer:

Step-by-step explanation:

given in the question there are 2 points that are (-18,14) and (48,87) as (x1,y1) and (x2,y2)

we know the slope formulae when it passes through 2 points is

      the formulae is slope m = y2-y2/x2-x1 by substituting them in the formulae

                                           m =  87 -14/48-(-18)

                                            m = 73/66

                            slope m  = 1.1

therefore the slope for the 2 points is slope m=1.1

The unit tangent vector t(t) is (3, 4t, 2t) / sqrt(9 + 20t^2), and the unit normal vector n(t) is (3, 4, 2t) / sqrt(25 + 4t^2).

The unit tangent vector t(t) of the given vector function r(t) = (3t, 1 + 2t^2, t^2) is obtained by dividing the derivative of r(t) by its magnitude. The derivative of r(t) is (3, 4t, 2t), and the magnitude of this vector is sqrt(9 + 20t^2). Therefore, t(t) = (3, 4t, 2t) / sqrt(9 + 20t^2).

The unit normal vector n(t) can be obtained by dividing the derivative of t(t) by its magnitude. The derivative of t(t) is (3, 4, 2t), and the magnitude of this vector is sqrt(25 + 4t^2). Thus, n(t) = (3, 4, 2t) / sqrt(25 + 4t^2).

These unit vectors t(t) and n(t) represent the direction of motion and the direction of the curve's curvature at each point t, respectively, providing valuable information about the behavior of the vector function r(t).

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Answer:

B) 4(6)+5(6)

Step-by-step explanation:

Normally when you see an expression like this, (4+5)6; I have to evaluate what's in the parentheses first, then solve it.

It can be either way:

6(4)+6(5) or (4)6+(5)6 or 6(4+5) = 6(9) = 54

(24)+(30) (24)+(30) or 6(9) = 54

This is the following of the distributive property, you must multiply the 6 first:

6(4) + 6(5)

You must distribute the 6 to the 4 then the 6 to the 5 in the distributive property law; you need to remember to remove the parentheses by multiplying first before doing the addition or subtraction!

Now you will the same answer in both case; with both approaches.

Answer:

B.

Step-by-step explanation:

6(4)+6(5) or (4)6+(5)6 or 6(4+5) = 6(9) = 54

(24)+(30) (24)+(30) or 6(9) = 54

The equation of the line would be y = (-3/4)x + 5.

What is the slope-point form of the line?

For the line having slope "m" and the point (x1, y1) the equation of the line passing through the point (x1, y1) having slope 'm' would be

                      y - y1 = m(x - x1)

The given equation is \(y=-\frac{3}{4}x-17\)

The required line is parallel to the given line.

and we know that the slopes of the parallel lines are equal so the slope of the required line would be m = -3/4

And the required line passes through (8, -1)

so by using slope - point form of the line,

      y - (-1) = (-3/4)(x - 8)

      y + 1 = (-3/4)x - (-3/4)8

       y + 1 = (-3/4)x + 24/4

       y = (-3/4)x + (12/2 - 1)

       y = (-3/4)x + 5

Hence, the equation of the line would be y = (-3/4)x + 5.

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(a) H0: p1 = p2 = p3 = p4 = p5 = p6 = 1/6, implying the dice are fair.

(b) The expected count for each side of the dice is 13

(c) Yes, because the expected cell count is at least 5 for all cells.

Hypothesis :

In statistics, hypothesis testing is used to identify the variance in the group of data that results from genuine variation. Based on the presumptions, the sample data are taken from the population parameter. The hypothesis can be divided into many categories. A hypothesis is described in statistics as a formal statement that explains the relationship between two or more variables belonging to the specified population. It aids the researcher in converting the stated issue into an understandable justification for the study's findings. It provides examples of various experimental designs and guides the investigation of the research procedure.

Complete question:

You play a game of dice at the state fair, but suspect the dice may have been rigged. You observe the game owner rolling the dice 78 times and note the following results:

Face "1" "2" "3" "4" "5" "6"

Observed count 8 13 18 14 19 6

(a) Which hypotheses should be used to test if the dice are fair:

Identify H0:

-H0: p1 = p2 = p3 = p4 = p5 = p6 = 1/6, implying the dice are unfair.

-H0: p1 = p2 = p3 = p4 = p5 = p6 = 0, implying the dice are fair.

-H0: p1 = p2 = p3 = p4 = p5 = p6 = 1/6, implying the dice are fair.

-H0: p1 = p2 = p3 = p4 = p5 = p6 = 0, implying the dice are unfair.

Identify Ha:

-Ha: every p ≠ 1/6, implying the dice are unfair.

-Ha: at least one p≠ 1/6, implying the dice are unfair.

-Ha: every p ≠ 1/6, implying the dice are fair.

-Ha: at least one p ≠ 1/6, implying the dice are fair.

(b) What is the expected count for each side of the dice?

(c) Is the cell count condition met?

-No, because some cells have less than 10 observed counts.

-Yes, because the expected cell count is at least 5 for all cells.

-Yes, because the expected cell count is close to the observed cell count for all cells.

-No, because some cells have less than 30 observed counts.

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Answer:

i wrote how to below!

Step-by-step explanation:

okay since the y intercept is 2, put a dot on the point (0, 2)

now for the next one just substitute an easy value like 1 to the equation

y = 3/4(4) + 2

the 4 will cancel out the denominator then...

y = 3 + 2

y = 5

now put a point on (4, 5)

Answer:

answer in explanation

Step-by-step explanation:

(0,2)

(1,2.75)

(2,3.5)

(3,4.25)

(4,5)

Answer:

I believe changing -3/4 steepen the slope. For example, y=-1x+2

Answer:

5/16=x/64

Step-by-step explanation:

the x is 1280 that is the answer

Answer:

20 even though its not an answer option?

Step-by-step explanation:

It should be since 16x4=64   5x4=20

Answer:

16pi or 50.2

Step-by-step explanation:

formula for area of a circle is pi * radius squared. Since the diameter is 8 you divide that by 2 to get 4 and you square it so it becomes 16. Then you multiply it by pi or 3.14 to get 50.24 and then you round.

The solutions are x = 0 and x = 5. Writing these solutions as a list of integers or reduced fractions, separated by a comma, we get: 0, 5

To solve the equation x^2 - 5x = 0, we need to find the values of x that make the equation true.

First, we can factor out the common factor of x from the left-hand side:

x(x - 5) = 0

Now, we can use the zero product property, which states that if the product of two factors is equal to zero, then at least one of the factors must be equal to zero.

Therefore, either x = 0 or x - 5 = 0. Solving for x in each case gives us:

x = 0 or x = 5

So the solutions to the equation x^2 - 5x = 0 are x = 0 and x = 5.

Writing these solutions as a list of integers or reduced fractions, separated by a comma, gives us:

0, 5

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