plsssssssssssssssss help

Plsssssssssssssssss Help

Answers

Answer 1

Answer:

1/2

Step-by-step explanation:

do trust me on this one if you dare go head

Answer 2

Answer: 1/2

Step-by-step explanation:

Do the rise over run strategy, go up 1 and then right 2


Related Questions

What number must be added to the expression below to complete the square x^2+16x=3

Answers

Answer:

Step-by-step explanation:

You need to move the 3 over to the left to make standard form.

x^2+16x-3=0  answer by completing the square

x= ± √67  -8

Step-by-step explanation:x

2 + 16 x = 3

To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of  b .

( b 2 ) 2 = ( 8 ) 2

Add the term to each side of the equation.

x 2 + 16 x + ( 8 ) 2 = 3 + ( 8 ) 2

Simplify the equation.

Raise  

8

to the power of  2 .

x 2 + 16 x + 64 = 3 + ( 8 ) 2

Simplify  3 + ( 8 ) 2 .

Tap for more steps...

x 2 + 16 x + 64 = 67

Factor the perfect trinomial square into  ( x + 8 ) 2 .

( x+ 8 ) 2 = 67

Solve the equation for  x .

Tap for fewer steps...

Take the square root of each side of the equation to set up the solution for  x .

( x + 8 ) 2 ⋅ 1 2 = ± √ 67

Remove the perfect root factor  

x + 8

under the radical to solve for  x .

x + 8 = ± √ 67

Remove parentheses.

x + 8 = ± √ 67

Subtract  

8

from both sides of the equation.

x = ± √ 67 − 8

The result can be shown in multiple forms.

Exact Form:

x = ± √67 − 8 x 2 + 16 x = 3

To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of  b .

( b 2 ) 2 = ( 8 ) 2

Add the term to each side of the equation.

x 2 + 16 x + ( 8 ) 2 = 3 + ( 8 ) 2

Simplify the equation.

Raise  

8

to the power of  2 .

x 2 + 16 x+ 64 = 3 + ( 8 ) 2

Simplify  3 + ( 8 ) 2 .

Tap for more steps...

x 2 + 16 x + 64 = 67

Factor the perfect trinomial square into  ( x + 8 ) 2 .

( x + 8 ) 2 = 67

Solve the equation for  x .

Take the square root of each side of the equation to set up the solution for  x .

( x + 8 ) 2 ⋅ 1 2 = ± √ 67

Remove the perfect root factor  

x + 8

under the radical to solve for  x .

x + 8 = ± √ 67

Remove parentheses.

x + 8 = ± √ 67

Subtract  

8

from both sides of the equation.

x = ± √ 67 − 8

The result can be shown in multiple forms.

Exact Form:

x = ± √ 67 − 8

Decimal Form:

x = 0.18535277 … , − 16.18535277 …

x 2 + 16 x = 3

To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of  b .

( b 2 ) 2 = ( 8 ) 2

Add the term to each side of the equation.

x 2 + 16 x + ( 8 ) 2 = 3 + ( 8 ) 2

Simplify the equation.

Raise  

8

to the power of  2 .

x 2 + 16 x + 64 = 3 + ( 8 ) 2

Simplify  3 + ( 8 ) 2 .

Raise  

8

to the power of  2 .

x 2 + 16 x + 64 = 3 + 64

Add  

3

and  64 .

x 2 + 16 x + 64 = 67

Factor the perfect trinomial square into  ( x + 8 ) 2 .

( x + 8 ) 2 = 67

Solve the equation for  x .

Take the square root of each side of the equation to set up the solution for  x .

( x + 8 ) 2 ⋅ 1 2 = ± √ 67

Remove the perfect root factor  

x + 8

under the radical to solve for  x .

x + 8 = ± √ 67

Remove parentheses.

x + 8 = ± √ 67

Subtract  

8

from both sides of the equation.

x = ± √ 67 − 8

The result can be shown in multiple forms.

Exact Form:

x = ± √ 67 − 8

Decimal Form:

x = 0.18535277 … , − 16.18535277 …

Decimal Form:

x = 0.18535277 … , − 16.18535277 …

7th grade math help pleasee

7th grade math help pleasee

Answers

Answer:

Step-by-step explanation:

(a) 7x = 56

divide through by 7

x= 8

(b) 4n = 48

divide through by 4

n = 12

(b) 5c = 80

divide through by 5

n = 16

Answer:

a. 8

b. 12

c.  16

Step-by-step explanation:

7x= 56

You have to get x alone so divide

Divide by 7 to get answer (whatever you do to one side, do to the other)

x= 8

EDIT:

4a. 7x=56

7x/7 = 56/7

x= 8

4b. 4x=48

4x/4=48/4

x= 12

4c. 5c= 80

5c/5=80/5

c=16

the same goes for the rest

p.s. pls practice your multiplication as you will need it throughout high school :)

If y, and y₂ are linearly independent solutions of ry" + 3y +(2+1)y= 0 and if W(v₁, ₂)(1) = 2, find W(y₁, y2)(5). Round your answer to two decimal places. W(v1- y₂)(5) = i

Answers

Given linearly independent solutions y and y₂ of a second-order linear differential equation, the problem involves determining the value of W(y₁, y₂) at a specific point.

The problem statement refers to the Wronskian, denoted by W(y₁, y₂), which is a determinant used to determine linear independence of solutions to linear differential equations. The Wronskian is defined as W(y₁, y₂) = y₁y₂' - y₂y₁', where y₁' and y₂' represent the derivatives of y₁ and y₂ with respect to the independent variable. Since W(v₁, v₂)(1) = 2 is given, it means that the Wronskian evaluated at x = 1 is equal to 2. To find W(y₁, y₂)(5), we need to determine the value of the Wronskian at x = 5, rounding the answer to two decimal places.

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Correct answers only please!

To the nearest cent, how much interest will she earn in 2 years?

Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Correct answers only please!To the nearest cent, how much interest will she earn in 2 years?Use the formula

Answers

Answer:

A = $ 9,257.50

A = P + I where

P (principal) = $ 7,000.00

I (interest) = $ 2,257.50

Step-by-step explanation:

Correct answers only please!To the nearest cent, how much interest will she earn in 2 years?Use the formula

What i (1 x ) (3 x 1) (5 x ) (3 x ) in word form?
A. One and three hundred fifty-three thouandth
B. Thirteen and fifty-three hundredth
C. One hundred three and fifty-three thouandth
D. One hundred three and five hundred three thouandth

Answers

Word form One hundred three and five hundred three thouandth

How do you write the number in word form? Word form means expressing numbers by spelling them out in words. ⇒ Expanded form means expressing according to place value. This is a little trickier because you have to. think about how much is in each place: ones, tens, hundreds, etc.To write a given number in word form, identify the largest place value, write each number as we would in the ones place based on hundreds, tens, and ones, then write which period the digits fit into, whether it be millions, thousands, etc., but excluding the ones. Repeat this process from left to right100 in words is written as One hundred or simply Hundred. The name of the number 100 in English is “Hundred

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can yall help me out

can yall help me out
can yall help me out

Answers

Answer:

yes ,2 dozen of cookies

Step-by-step explanation:

this is my answer

Answer:

The recipe is 16 servings.  There are 8 servings per dozen, so 36 servings in 4 dozen cookies.

Step-by-step explanation:

The recipe makes 2 dozen (24) cookies.  Each serving is 1.5 cookies.

So, the recipe makes 24/1.5 servings = 16 servings.

In a dozen cookies, there are 12/1.5 = 8 servings.

In 4 dozen cookies, there are 48/1.5 = 36 servings.

please someone I need the right answer will give brainiest if right​

please someone I need the right answer will give brainiest if right

Answers

Answer:

C. Because (-3)^2 is NOT equal to -9

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

√-9 is   3i.

Since there is a negative in the root, you can't have a regular number as the answer.

It askes why -3 is not the answer. Because -3 squared is 9, not -9.  

Which of the following appear in the diagram below? Check ALL that apply.

Which of the following appear in the diagram below? Check ALL that apply.

Answers

Answer:

∠ZXY and ZX

XYZ is not found on the diagram, as there is no line going from Z to Y, and YX is not a line segement in the diagram, its a full line.

Answer: zxy and yx for apex

PLEASE HELP!!! need to show work (it already shows the answer)

PLEASE HELP!!! need to show work (it already shows the answer)

Answers

All of that for IV points?

adult great basin rattlesnakes have a mean length of 40 inches and a standard deviation of 7.2 inches; the length of adult southern pacific rattlesnakes is also 40 inches on average, but with a standard deviation of 10.8 inches. both species have lengths that follow a normal distribution. you randomly select one great basin rattlesnake and one southern pacific rattlesnake. which is more likely be longer than 43.6 inches?

Answers

A Southern Pacific rattlesnake is more likely to be longer than 43.6 inches.

To calculate the probability of a rattlesnake having a length greater than 43.6 inches, we need to find the standard score (z-score) of 43.6 inches for each species and then use a standard normal table to find the corresponding probability.

The formula for the standard score is:

\($z = \frac{x - \mu}{\sigma}$\) where,

x is the value (43.6 inches)\($\mu$\) is the mean length of the species\($\sigma$\) is the standard deviation of the species.

For Great Basin rattlesnakes:

\($\mu\) = 40 inches

\($\sigma\) = 7.2 inches

So,

\($z = \frac{43.6 - 40}{7.2} = 0.5$\)

Using a standard normal table, we find that the probability of a Great Basin rattlesnake having a length greater than 43.6 inches is approximately 0.306.

For Southern Pacific rattlesnakes:

\($\mu\) = 40 inches

\($\sigma\) = 10.8 inches

So,

\($z = \frac{43.6 - 40}{10.8} = 0.333$\)

Using a standard normal table, we find that the probability of a Southern Pacific rattlesnake having a length greater than 43.6 inches is approximately 0.379.

So,  a Southern Pacific rattlesnake is more likely to be longer than 43.6 inches.

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What is the solution of the following quadratic inequality? x4 – 18x2 ≥ –64

Answers

Answer:

x<=-4 or -2<=x<=2 or x>=4

Step-by-step explanation:

First, you have to get the formula in its standard form,

x^4 - 18x^2 + 64 >= 0

Next, you factorise the expression as you would any trinomial. The fact that the degree of the inequality is 4 instead of 2 just adds an extra step,

(x^2 - 16)(x^2 - 4) >= 0

Get the zeroes/critical values of the equation by equating either bracket to zero.

x^2 - 16 = 0  and  x^2 - 4 = 0

x^2 = 16                x^2 = 4

Since both values are positive, both answers are valid as squares of x. The aforementioned extra step is just square rooting these values. Remember: This means that both a positive and negative answer will arise from both equations.

x = 4 or x = -4 or x = 2 or x = -2

Now you have to show these values on a number line.

 -4     -2       2       4

_|____|____|____|_

These are the critical values of the inequality, i.e. those values that make it equal zero (zeroes). Now to solve the inequality you need to substitute a value larger than 4 (called x big positive) and then a value between 2 and 4, between -2 and 2... until you sub a value less than -4 into the factorised expression. The point of this is to get the SIGN of the answer. As a rule, since no factors repeat themselves, after calculating x big positive you can simply alternate the signs going left. Try it out yourself!

+ -4 -  -2  +   2   -   4  +

_|____|____|____|_

Since we're looking for values greater than or equal to zero, all critical values as well as "plus signs" will form part of the answer, namely:

x<=-4 or -2<=x<=2 or x>=4

P.S. If you prefer, you could also factorise each bracket further as both of them were DOTS brackets and you would have ended up with the same critical values.

Answer: D

Step-by-step explanation:

What is actually true of all numbers and variables?

Answers

Answer: they are all ideas that are mutally agreed on.

Step-by-step explanation:

My math teacher told me this

Find all exact solutions of the trigonometric equation 2 sin²(x) + sin(x) = 0.

Answers

The exact solutions to the trigonometric equation 2 sin²(x) + sin(x) = 0 are: x = nπ, -π/6, -5π/6, where n is an integer.

To find the exact solutions of the trigonometric equation 2 sin²(x) + sin(x) = 0, we can factor out sin(x) from the equation:

sin(x) * (2sin(x) + 1) = 0

Now, we set each factor equal to zero and solve for x:

sin(x) = 0

This equation is true when x is equal to nπ, where n is an integer.

Next, we solve the equation:

2sin(x) + 1 = 0

Subtracting 1 from both sides:

2sin(x) = -1

Dividing by 2:

sin(x) = -1/2

The solutions to this equation can be found using the unit circle or reference angles. The angles where sin(x) is equal to -1/2 are -π/6 and -5π/6.

Therefore, the exact solutions to the trigonometric equation 2 sin²(x) + sin(x) = 0 are:

x = nπ, -π/6, -5π/6

where n is an integer.

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The quadratic equation
is in standard form.
What is the y-intercept for the graph of this equation?
y-intercept:
y = 0.9x² + 7x + 19
Be sure to enter your answers as POINTS (a.k.a., ordered-pairs). Do not enter your answer
a number.
Which best describes the graph of this equation?
O Parabola opens upward
O Parabola opens downward
O Cannot be determine from information provided.

Answers

y-intercept: (0,19)

The y-intercept of an equation is the point where the graph of the equation crosses the y-axis. In this case, when x = 0, the equation simplifies to y = 19, so the y-intercept of the graph is (0, 19).

The coefficient of the x² term is 0.9, which is positive, so the parabola opens upwards.

So the answer is

Parabola opens upward.

Find two quadratic functions, one that opens upward and one that opens downward, whose graphs have the given x-intercepts. (-5,0), (5,0) opens upward f(x)=x²+x-5 X opens downward f(x)=x²-x+5

Answers

We have found two quadratic functions with x-intercepts (-5,0) and (5,0): f(x) =\(x^2 - 25\), which opens upward, and g(x) = \(-x^2 + 25\), which opens downward.

For the quadratic function that opens upward, we can use the x-intercepts (-5,0) and (5,0) to set up the equation:

f(x) = a(x + 5)(x - 5)

where a is a constant that determines the shape of the parabola. If this function opens upward, then a must be positive. Expanding the equation, we get:

f(x) = a(x^2 - 25)

To determine the value of a, we can use the fact that the coefficient of the x^2 term in a quadratic equation determines the shape of the parabola. Since we want the parabola to open upward, we need the coefficient of x^2 to be positive, so we can set a = 1:

f(x) = x^2 - 25

For the quadratic function that opens downward, we can use the x-intercepts (-5,0) and (5,0) to set up the equation:

g(x) = a(x + 5)(x - 5)

where a is a constant that determines the shape of the parabola. If this function opens downward, then a must be negative. Expanding the equation, we get:

g(x) = a(x^2 - 25)

To determine the value of a, we can use the fact that the coefficient of the x^2 term in a quadratic equation determines the shape of the parabola. Since we want the parabola to open downward, we need the coefficient of x^2 to be negative, so we can set a = -1:

g(x) = -x^2 + 25

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Sara kicked a football. The height of the ball (in meters above the ground) ttt seconds after Sara kicked it is modeled by h(t)=-5t^2+20th(t)=−5t 2 +20th, left parenthesis, t, right parenthesis, equals, minus, 5, t, squared, plus, 20, t Sara wants to know the height of the ball above the ground at its highest point. 1) Rewrite the function in a different form (factored or vertex) where the answer appears as a number in the equation. h(t)=h(t)=h, left parenthesis, t, right parenthesis, equals 2) At its highest point, how far above the ground was the ball? meters

Answers

Answer:

\(h(t) = -5(t-2)^2+20\)

20 meters

Step-by-step explanation:

The vertex form of the equation is h(t) = -5(t-2)^2 - 4 and the ball was 20 meters above the ground

Vertex form of an expression

The standard vertex form of a quadratic equation is expressed as (a-h)^2 + k

Given the height of the ball (in meters above the ground) t seconds after Sara kicked it is modelled by h(t)=-5t^2+20t

Write in vertex form

h(t)=-5t^2+20t

h(t) = -5(t^2 - 4t)
h(t) = -5(t^2 - 4t + 2^2) - 2^2
h(t) = -5(t-2)^2 - 4

Hence the vertex form of the equation is h(t) = -5(t-2)^2 - 4

At the highest point t = -b/2a
t =
-20/2(-5)
t = -20/-10
t = 2ssecs

Substitute t = 2 into the function

h(2) = -5(2)^2 + 20(2)
h(2) = -20 + 40
h(2) = 20 meters

Hence the ball was 20 meters above the ground

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Solve the system of linear equations:

y= -2x - 4
y= 2x - 4

Answers

Answer:

(0, -4)

Step-by-step explanation:

We can just substitute the y's like this: 2x - 4 = -2x - 4

Move like terms to one side by adding 2x to both sides

2x - 4 = -2x - 4

+ 2x      + 2x

4x - 4 = - 4

Add 4 to both sides

4x - 4 = - 4

    + 4   + 4

4x = 0

Divide both sides by 4

4x/4 = 0/4

x = 0

Plug in the new x into one of the original equations

y = 2(0) - 4

y = 0 - 4

y = - 4

Akiko is collecting documents for document analysis. Her research question focuses on the history of the discovery of vitamins. Which of the following is an example of a primary document?
a. Scientific publications about the relationship between the vitamin and a disease state
b. Newspaper articles about people developing the disease state
c. Advertisements selling vitamin supplements
d. A medical school textbook explaining the progression of vitamin deficiency

Answers

It is created during the time period being studied and can include diaries, letters, photographs, speeches, and government documents. In the case of Akiko's research question on the history of the discovery of vitamins, a primary document would be a document that was created during the time when the discovery of vitamins was being made.

Option a, scientific publications about the relationship between the vitamin and a disease state, is likely a primary document since it is a scientific report that would have been published around the time of the discovery of vitamins. This report would be a first-hand account of the research being conducted on vitamins and their relationship to disease. Option c, advertisements selling vitamin supplements, is not likely a primary document since it is a commercial product and not a historical record.

Option d, a medical school textbook explaining the progression of vitamin deficiency, is not likely a primary document since it is a secondary source that summarizes information on the topic.In summary, option a, scientific publications about the relationship between the vitamin and a disease state, is the most likely example of a primary document for Akiko's research question on the history of the discovery of vitamins.

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Write the interval as an inequality
[-5,5]

Answers

Answer:

\(-5\leq x\leq 5\)

Step-by-step explanation:

-5<x<5

both of the < need lines under them

What is the mode of the data shown in the table?
Scores: 5, 12, 13, 18
Frequency: 3, 2, 5, 4
A. 12
B. 13
C. 51.5
D. 12.5

Answers

Answer: Option B - 13

Explanation:

The mode is the value that appears most frequently in a data set

So 13 appears 5 times so it is the mode

Must click thanks and mark brainliest

Answer:

B

Step-by-step explanation:

The mode is the score which occurs most often.

From the table a score of 13 occurs 5 times, that is

The mode is 13 → B

Use theorem 7. 4. 2 to evaluate the given laplace transform. do not evaluate the convolution integral before transforming. (write your answer as a function of s. ) ℒ{e−t ∗ et cos(t)}

Answers

The Laplace transform of the given convolution, **e^(-t) * e^t * cos(t)**, is s/(s^2 - 1).

The Laplace transform of the convolution of two functions, **e^(-t) * e^t * cos(t)**, can be evaluated using Theorem 7.4.2. The Laplace transform of the convolution of two functions is equal to the product of their individual Laplace transforms.

To evaluate the given Laplace transform, we can start by finding the Laplace transform of each function separately. Let's consider the Laplace transform of **e^(-t)**, **e^t**, and **cos(t)**.

1. Laplace transform of e^(-t):

Using the formula for the Laplace transform of an exponential function, we have:

L{e^(-t)} = 1/(s + 1)

2. Laplace transform of e^t:

The Laplace transform of e^t is straightforward and can be expressed as:

L{e^t} = 1/(s - 1)

3. Laplace transform of cos(t):

We can use the Laplace transform property for cosine function to find its transform:

L{cos(t)} = s/(s^2 + 1)

Now, applying Theorem 7.4.2, we can find the Laplace transform of the given convolution.

L{e^(-t) * e^t * cos(t)} = L{e^(-t)} * L{e^t} * L{cos(t)}

                           = (1/(s + 1)) * (1/(s - 1)) * (s/(s^2 + 1))

Simplifying this expression, we can obtain the final Laplace transform:

L{e^(-t) * e^t * cos(t)} = s/(s^2 - 1)

Therefore, the Laplace transform of the given convolution, **e^(-t) * e^t * cos(t)**, is **s/(s^2 - 1)**.

By utilizing Theorem 7.4.2, we have evaluated the Laplace transform without evaluating the convolution integral beforehand.

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find the product if (x-3)^2

x^2 + 6x + 9
x^2 - 9
x^2 - 6x + 9
x^2 + 9

Answers

X^2 -6x+9 is the answer

a norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular window (see figure). find the dimensions of a norman window of maximum area if the total perimeter is 14 feet.

Answers

The dimensions of a norman window of maximum area if the total perimeter is 14 feet are 2 ft and 4 ft respectively.

Given:

a norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular window

we are asked to  find the dimensions of a norman window of maximum area if the total perimeter is 14 feet.

the area of the semicircle is given by:

A = πr²/2

The area of the rectangle is just the product of its length and width.

Letting A be the area of the window and adding the two ares, we have:

A = xy + π(y/2)²/2

= xy + π(y²/4)/2

= xy+πy²/8

we know the circumference = πd

the circumference of a semicircle is half of that. The perimeter of a rectangle is the sum of twice the length and twice the width. However, one of the sides is replaced by the semicircle, so we remove it from the equation.

Hence, we have the following equation for the perimeter.

14 = 2x+y+πy/2

let us isolate x from this equation

14 = 2x+y+πy/2

14-y-π/2 = 2x

x = 7-y/2-πy/4

substituting x to the equation for the area, w have:

A = xy + πy²/8

= (7 - y/2 - πy/4)y + πy²/8

= 7y - y²/2 - πy²/4 + πy²/8

= 7y - y²/2 - 2πy²/8 + πy²/8

= 7y - y²/2 - πy²/8

differentiating A with respect to x.

A = 7y - y²/2 - πy²/8

A' = 7 - y - πy/4

⇒ 7 - y - πy/4 = 0

⇒ 28 - 4y - πy=0

⇒ 28 = 4y+πy

⇒ 28=(4+π)y

⇒ y = 28/4+π ≈ 4 ft

perimeter:

14 = 2x+y+πy/2

14 = 2x + 28/4+π + π(28/4+π)/2

14(8+2π)=2x(8+2π)+28(2)+28π

112+28π = 16x+4πx+56+28π

112-56=16x+4πx

56=(16+4π)x

x=56/16+4π

= 14/4+π

x=14/4+π≈ 2 ft.

Hence the dimension are 2 ft and 4 ft.

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can some one pleaseeee help me ?!?

can some one pleaseeee help me ?!?

Answers

1) a=16

a is 16 because 16/4 is 4. 2 plus 4 is 6

The volume of a rectangular prism is 400 cm3 . If the length is 16 cm and the width is 5cm, what is its height? ​

Answers

Answer:

H = 5

Step-by-step explanation:

rectangular prism:

V = L x W x H

400 cm3 = 16 x 5 x H

400 cm3 = 80 x H

400/80 = 5

h = 5 cm

95% sure this is correct! :)

Answer:

5 cm

Step-by-step explanation:

Formula used :

Volume of the rectangular prism = Length × Width × Height

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

Given :

⇒ Volume = 400 cm³

⇒ Length = 16 cm

⇒ Width = 5 cm

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

Solving :

⇒ 400 cm³ = 16 cm × 5 cm × Height

⇒ Height = 400 cm³ / 80 cm²

⇒ Height = 5 cm

Help me with answer asp

Help me with answer asp
Help me with answer asp
Help me with answer asp

Answers

Answer:

picture #1 - 50.27 square units

picture #2 - 113.10 square units

picture #3 - 380.13 square units

Step-by-step explanation:

picture #1 - area = πr^2 -> π*4^2 = 50.27 square units

picture #2 - area = πr^2 -> π*6^2 = 113.10

picture #3 - area = πr^2 -> π*11^2 = 380.13

In a group of 10 people, the median height is 70 inches, the average (arithmetic mean) height is 70.5 inches, and the mode of the heights is 71 . If an additional person who is 74 inches tall joins the group, which of the three statistics must change? Explain your answer. (a) Mean only (b) Median only (c) Mode only (d) Mean and median (e) Mean and mode

Answers

(a) Mean only.

When an additional person who is 74 inches tall joins the group, the statistic that must change is the mean (average) height. The median and mode will remain the same.

The median is the middle value when the heights are arranged in ascending order. Since the group already has 10 people and the median height is 70 inches, the median is unaffected by the addition of a new person. The new person's height does not impact the ordering of the existing heights, so the median remains unchanged.

The mode is the value that appears most frequently in the data set. In this case, the mode is 71 inches. Adding a person who is 74 inches tall does not change the fact that 71 inches is the most common height in the group. Therefore, the mode remains the same.

However, the mean is calculated by summing all the heights and dividing by the number of people. The addition of a person who is 74 inches tall will increase the total sum of heights, which in turn affects the mean. Since the new person's height is larger than the mean height of the original group (70.5 inches), the mean will increase. Hence, the only statistic that must change is the mean.

In summary, when an additional person who is 74 inches tall joins the group, the mean height will change, but the median and mode will remain the same.

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Which of the following rational functions is graphed below

Which of the following rational functions is graphed below

Answers

The rational function on the graph is the one in option B.

\(\frac{1}{(x - 1)*(x + 4)}\)

What is the rational function on the graph?

If we have the graph of a rational function and we can see vertical asympthotes at x = a, b, c,..

Then the rational function will be something like:

\(\frac{1}{(x - a)*(x - b)*...}\)

In this case we can see two of these, there is one at x = 1 and other at x = -4.

Then the rational function will be something like:

\(\frac{1}{(x - 1)*(x - (-4))}\\\\\frac{1}{(x - 1)*(x + 4)}\)

So the correct option is B (i think, the image has really low resolution).

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Determine the intercepts of the line. Do not round your answers. -6x+3y=-7−6x+3y=−7

Answers

For the equation -6x + 3y = -7 , the x-intercept and y-intercept is obtained as (1.167,0) and (0,-2.333) respectively.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

The given equation is -

-6x + 3y = -7

To find the x-intercept, substitute the value of y = 0.

-6x + 3(0) = -7

-6x + 0 = -7

-6x = -7

Use the arithmetic operation of division -

x = -7/-6

x = 1.167

To find the y-intercept, substitute the value of x = 0.

-6(0) + 3y = -7

0 + 3y = -7

3y = -7

Use the arithmetic operation of division -

y = -7/3

y = -2.333

So, the x-intercept is obtained as x = 1.167 and y-intercept is obtained as  y = -2.333.

A graph can also be plotted to find the intercepts.

Therefore, the intercepts are x = 1.167 and y = -2.333.

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Determine the intercepts of the line. Do not round your answers. -6x+3y=-76x+3y=7

What is the measure of the reference angle for a 112° angle?

A.
22°
B.
68°
C.
67°
D.
78°

Answers

Answer:

B. 68

Step-by-step explanation:

180-112 = 68

just simple angle addition

crossin my fingers and hoping this helps

The measure of the reference angle for a 122° angle is 68°.

What is Reference Number?

Reference number associated with t is defined as the shortest distance from the x axis to the terminal point t, along a unit circle.

So we have to find the shortest angle that the X axis make with the angle 112 degree.

112 degree lies on the second quadrant.

We know that,

Sum of the angles along the X axis = 180°

Reference angle of 112 degree = 180° - 112°

                                                   = 68°

Hence the reference angle for 112 degree is 68 degrees.

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