Select all the correct coordinate pairs and the correct graph. Select the correct zeros and the correct graph of the function below.

Select All The Correct Coordinate Pairs And The Correct Graph. Select The Correct Zeros And The Correct

Answers

Answer 1

Answer:

(0, 0), (-1, 0), (2, 0), (3, 0) are the zeros.

First graph in top row is the answer.

Step-by-step explanation:

The given function is, f(x) = x⁴ - 4x³ + x² + 6x

For zeros of the given function, f(x) = 0

x⁴ - 4x³ + x² + 6x = 0

x(x³ - 4x² + x + 6) = 0

Therefore, x = 0 is the root.

Possible rational roots = [tex]\frac{\pm 1, \pm 2, \pm 3, \pm 6}{\pm1}[/tex]

                                      = {±1. ±2, ±3, ±6}

By substituting x = -1 in the polynomial,

x⁴ - 4x³ + x² + 6x = (-1)⁴ - 4(-1)³+ (-1)² + 6(-1)

                           = 1 + 4 + 1 - 6

                           = 0

Therefore, x = -1 is also a root of this function.

For x = 2,

x⁴ - 4x³ + x² + 6x = (2)⁴ - 4(2)³+ (2)² + 6(2)

                           = 16 - 32 + 4 + 12

                           = 0

Therefore, x = 2 is a root of the function.

For x = 3,

x⁴ - 4x³ + x² + 6x = (3)⁴ - 4(3)³+ (3)² + 6(3)

                           = 81 - 108 + 9 + 18

                           = 0

Therefore, x = 3 is a root of the function.

x = 0, -1, 2, 3 are the roots of the given function.

In other words, (0, 0), (-1, 0), (2, 0), (3, 0) are the zeros.

From these points, first graph in top row is the answer.


Related Questions

(I NEED HELP) The data below shows the scores of some students on a test: 23, 27, 21, 20, 25, 31, 22 Which box-and-whisker plot represents the data?

Answers

Answer:

B

Step-by-step explanation:

Answer:

the 2nd one

Step-by-step explanation:

because the Minimum is 20

the Maximum is 31

the median is 23

20, 21, 22, 23, 25, 27,  31,

21, 22, 23, 25, 27

22, 23, 25,

23

a sample of bacteria is growing at an hourly rate of 14% according to the exponential growth function.the sa

Answers

Answer:

pleasse elaborate more

Step-by-step explanation:

Anyone got the answer to this? Ik it’s prob easy but I’m just not seeing it

Answers

Answer:

y ≤0

Step-by-step explanation:

y =- x^2

x^2 is always positive or 0

Make this negative

- x^2 is negative or 0

The range is negative or 0

y ≤0

Answer:

Step-by-step explanation:

y=-x^2

the range is(-∞,0]

y≤ 0 ( since the coefficient  a is negative it is open downward)

Evaluate the series

Answers

Answer:

the value of the series;

[tex]\sum_{k=1}^{6}(25-k^2) = 59[/tex]

C) 59

Step-by-step explanation:

Recall that;

[tex]\sum_{1}^{n}a_n = a_1+a_2+...+a_n\\[/tex]

Therefore, we can evaluate the series;

[tex]\sum_{k=1}^{6}(25-k^2)[/tex]

by summing the values of the series within that interval.

the values of the series are evaluated by substituting the corresponding values of k into the equation.

[tex]\sum_{k=1}^{6}(25-k^2) =(25-1^2)+(25-2^2)+(25-3^2)+(25-4^2)+(25-5^2)+(25-6^2)\\\sum_{k=1}^{6}(25-k^2) =(25-1)+(25-4)+(25-9)+(25-16)+(25-25)+(25-36)\\\sum_{k=1}^{6}(25-k^2) =24+21+16+9+0+(-11)\\\sum_{k=1}^{6}(25-k^2) = 59\\[/tex]

So, the value of the series;

[tex]\sum_{k=1}^{6}(25-k^2) = 59[/tex]

This container is composed of a right circular cylinder and a right circular cone. The diameter is 20, the height of the cylinder is 9, and the slant height of the cone is 16. Find the surface area

Answers

Answer:

Total -CSA= 1068.28

Step-by-step explanation:

This problem is on the mensuration of solids, a cylinder and a cone combined (a frustum)

We are required to solve for the total curve surface areas both solids

hence the curve surface area (henceforth CSA) of a cylinder is given as

[tex]CSA-cylinder=2\pi rh[/tex]

[tex]CSA-cone= \pi rl[/tex]

[tex]Total CSA= 2\pi rh+\pi rl[/tex]

Given data

diameter d= 20

radius = d/2= 20/2= 10

height of cylinder h= 9

slant height of cone l= 16

substituting our data into the expression we have

[tex]Total -CSA= 2*\pi *10*9+\pi *10*16\\\\Total -CSA= 565.56+502.72\\\Total -CSA= 1068.28[/tex]

Match each pair of points A and B to point C such that ∠ABC = 90°. A(3, 3) and B(12, 6) C(6, 52) A(-10, 5) and B(12, 16) C(16, -6) A(-8, 3) and B(12, 8) C(18, 4) A(12, -14) and B(-16, 21) C(-11, 25) A(-12, -19) and B(20, 45) A(30, 20) and B(-20, -15) arrowBoth arrowBoth arrowBoth arrowBoth

Answers

Answer:

i) A = (3, 3), B = (12, 6), C = (6, 52) : Not orthogonal, ii) A = (-10, 5), B = (12, 16), C = (6, 52) : Not orthogonal, iii) A = (-8, 3), B = (12, 8), C = (18, 4) : Not orthogonal, iv) A = (12, -14), B = (-16, 21), C = (-11, 25) : Orthogonal, v) A = (-12, -19), B = (20, 45) : Impossible orthogonality, vi) A = (30, 20), B = (-20, -15) : Impossible orthogonality.

Step-by-step explanation:

The statement indicates that segments AB and BC must be orthogonal. Vectorially speaking, this can be expressed by using the following expression from Linear Algebra:

[tex]\overrightarrow {AB} \bullet \overrightarrow {BC} = 0[/tex]

[tex](AB_{x}, AB_{y})\bullet (BC_{x},BC_{y}) = 0[/tex]

[tex]AB_{x}\cdot BC_{x} + AB_{y}\cdot BC_{y} = 0[/tex]

Now, let is evaluate each choice:

i) A = (3, 3), B = (12, 6), C = (6, 52)

[tex]\overrightarrow {AB} = \vec B - \vec A[/tex]

[tex]\overrightarrow {AB} = (12, 6) - (3, 3)[/tex]

[tex]\overrightarrow {AB} = (12-3, 6-3)[/tex]

[tex]\overrightarrow {AB} = (9, 3)[/tex]

[tex]\overrightarrow {BC} = \vec C - \vec B[/tex]

[tex]\overrightarrow {BC} = (6, 52) - (12, 6)[/tex]

[tex]\overrightarrow {BC} = (6 - 12, 52 - 6)[/tex]

[tex]\overrightarrow {BC} = (-6, 46)[/tex]

[tex]\overrightarrow {AB} \bullet \overrightarrow {BC} = (9, 3)\bullet (-6, 46)[/tex]

[tex]\overrightarrow{AB} \bullet \overrightarrow {BC} = (9)\cdot (-6) + (3) \cdot (46)[/tex]

[tex]\overrightarrow{AB}\bullet \overrightarrow {BC} = 84[/tex]

AB and BC are not orthogonal.

ii) A = (-10, 5), B = (12, 16), C = (6, 52)

[tex]\overrightarrow {AB} = \vec B - \vec A[/tex]

[tex]\overrightarrow {AB} = (12, 16) - (-10, 5)[/tex]

[tex]\overrightarrow {AB} = (12+10, 16-5)[/tex]

[tex]\overrightarrow {AB} = (22, 11)[/tex]

[tex]\overrightarrow {BC} = \vec C - \vec B[/tex]

[tex]\overrightarrow {BC} = (6, 52) - (12, 16)[/tex]

[tex]\overrightarrow {BC} = (6 - 12, 52 - 16)[/tex]

[tex]\overrightarrow {BC} = (-6, 36)[/tex]

[tex]\overrightarrow {AB} \bullet \overrightarrow {BC} = (22, 11)\bullet (-6, 36)[/tex]

[tex]\overrightarrow{AB} \bullet \overrightarrow {BC} = (22)\cdot (-6) + (11) \cdot (36)[/tex]

[tex]\overrightarrow{AB}\bullet \overrightarrow {BC} = 264[/tex]

AB and BC are not orthogonal.

iii) A = (-8, 3), B = (12, 8), C = (18, 4)

[tex]\overrightarrow {AB} = \vec B - \vec A[/tex]

[tex]\overrightarrow {AB} = (12, 8) - (-8, 3)[/tex]

[tex]\overrightarrow {AB} = (12+8, 8-3)[/tex]

[tex]\overrightarrow {AB} = (20, 5)[/tex]

[tex]\overrightarrow {BC} = \vec C - \vec B[/tex]

[tex]\overrightarrow {BC} = (18, 4) - (12, 8)[/tex]

[tex]\overrightarrow {BC} = (18 - 12, 4 - 8)[/tex]

[tex]\overrightarrow {BC} = (6, -4)[/tex]

[tex]\overrightarrow {AB} \bullet \overrightarrow {BC} = (20, 5)\bullet (-6, -4)[/tex]

[tex]\overrightarrow{AB} \bullet \overrightarrow {BC} = (20)\cdot (-6) + (5) \cdot (-4)[/tex]

[tex]\overrightarrow{AB}\bullet \overrightarrow {BC} = -140[/tex]

AB and BC are not orthogonal.

iv) A = (12, -14), B = (-16, 21), C = (-11, 25)

[tex]\overrightarrow {AB} = \vec B - \vec A[/tex]

[tex]\overrightarrow {AB} = (-16,21) - (12, -14)[/tex]

[tex]\overrightarrow {AB} = (-16-12, 21+14)[/tex]

[tex]\overrightarrow {AB} = (-28, 35)[/tex]

[tex]\overrightarrow {BC} = \vec C - \vec B[/tex]

[tex]\overrightarrow {BC} = (-11,25) - (-16, 21)[/tex]

[tex]\overrightarrow {BC} = (-11+16, 25-21)[/tex]

[tex]\overrightarrow {BC} = (5, 4)[/tex]

[tex]\overrightarrow {AB} \bullet \overrightarrow {BC} = (-28,35)\bullet (5, 4)[/tex]

[tex]\overrightarrow{AB} \bullet \overrightarrow {BC} = (-28)\cdot (5) + (35) \cdot (4)[/tex]

[tex]\overrightarrow{AB}\bullet \overrightarrow {BC} = 0[/tex]

AB and BC are orthogonal.

v) A = (-12, -19), B = (20, 45)

It is not possible to determine the orthogonality of this solution, since point C is unknown.

vi) A = (30, 20), B = (-20, -15)

It is not possible to determine the orthogonality of this solution, since point C is unknown.

t-7= -1 what is t in this equation

Answers

Answer:

t=6

Step-by-step explanation:

t-7=-1

6-7=-1

t - 7 = -1

t = 7 -1

t = 6

t is equals 6

ghvhhhhcycycugvuviggggggvvvggfgffgfggyg

Answers

Answer:

fortnite

Step-by-step explanation:

winwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwin

Answer:

Yes

Step-by-step explanation:

Yes

Two hundred undergraduate students were randomly selected from a university that has 47,000 students in total. Systolic blood pressure was tested on the 200 students. The sample mean is 118.0 mmHg and the sample standard deviation is 11.0 mmHg. Please construct a 95% confidence interval for the population mean of students' systolic blood pressure. Which one of the following results is the closest to your answer? (Hint: use 1.96 as the critical z-value)
a. [110.5, 125.5]
b. [112.5, 123.5]
c. [114.5, 121.5]
d. [116.5, 119.5]

Answers

Answer:

The  correct option is d

Step-by-step explanation:

From the question we are told that

    The  population size is  [tex]N = 47000[/tex]

    The  sample size is  [tex]n = 200[/tex]

     The  sample mean is   [tex]\= x = 118.0 \ mmHg[/tex]

     The  standard deviation is  [tex]\sigma = 11.0 \ mmHg[/tex]

     

Given that the confidence level is  95% then the level of significance can be calculated as

                     [tex]\alpha = 100 - 95[/tex]

                    [tex]\alpha = 5 \%[/tex]

                      [tex]\alpha = 0.05[/tex]

Next we obtain the critical value of  [tex]\frac{\alpha }{2}[/tex] from  z-table , the value is  [tex]Z_{\frac{\alpha }{2} } = Z_{\frac{0.05 }{2} } = 1.96[/tex]

The reason we are obtaining critical value of   [tex]\frac{\alpha }{2}[/tex] instead of    [tex]\alpha[/tex] is because  

 [tex]\alpha[/tex] represents the area under the normal curve where the confidence level interval (   [tex]1-\alpha[/tex]) did not cover which include both the left and right tail while  

 [tex]\frac{\alpha }{2}[/tex]  is just the area of one tail which what we required to calculate the margin of error .

NOTE: We can also obtain the value using critical value calculator (math dot armstrong dot edu)

  Generally the margin of error is mathematically represented as

            [tex]E = Z_{\frac{\alpha }{2} } *\frac{\sigma }{ \sqrt{n} }[/tex]

substituting values

           [tex]E = 1.96 *\frac{11.0 }{ \sqrt{200} }[/tex]

           [tex]E = 1.5245[/tex]

The  95% confidence level interval is mathematically represented as

       [tex]\= x - E < \mu < \= x + E[/tex]

substituting values

       [tex]118.0 - 1.5245 < \mu < 118.0 + 1.5245[/tex]

        [tex]116.5< \mu < 119.5[/tex]

         [tex][116.5 , 119.5][/tex]

 

Twice a number plus three times a second number is twenty two. Three times the first number plus four times the second is thirty one. Find the numbers

Answers

2x+3y=22
3x+4y=31

8x+12y=88
-9x-12y=-93
x=5
y=4

5 and 4.

Answer:

The numbers are 5 and 4

Step-by-step explanation:

Let the first number be x

Let the second number be y

For the first equation

2x + 3y = 22

For the second equation

3x + 4y = 31

Multiply the first one by 3 and the second one by 2

That's

First equation

6x + 9y = 66

Second equation

6x + 8y = 62

Subtract the second equation from the first one

That's

6x - 6x + 9y - 8y = 66 - 62

y = 4

Substitute y = 4 into 2x + 3y = 22

That's

2x + 3(4) = 22

2x = 22 - 12

2x = 10

Divide both sides by 2

x = 5

Hope this helps you

In circle O, radius OQ measures 9 inches and arc PQ measures 6π inches. Circle O is shown. Line segments P O and Q O are radii with length of 9 inches. Angle P O Q is theta. What is the measure, in radians, of central angle POQ?

Answers

Answer:

2π/3 rad

Step-by-step explanation:

To get theta, we will apply the formula for calculating the length of an arc as shown;

Length of an arc = theta/360 * 2πr

theta is the central angle (required)

r is the radius of the circle

Given r = 9 inches and length of the arc PQ = 6π in

Substituting this given values into the formula to get the central angle theta;

6π = theta/360 * 2πr

Dividing both sides by 2πr

theta/360 = 6π/2πr

theta/360 = 3/r

theta/360 = 3/9

theta/360 = 1/3

cross multiplying;

3*theta = 360

theta = 360/3

theta = 120°

Since 180° = π rad

120° = x

x = 120π/180

x = 2π/3 rad

Hence the measure of the central angle in radians is 2π/3 rad

16/4 + 56 – (3 + 4 - 1) =

Answers

Answer: 54

Explanation:
16/4 + 56 - (3 + 4 - 1)
= 4 + 56 - 6
= 60 - 6
= 54

Answer:

54

Step-by-step explanation:

PEMDAS - Parentheses, Exponents, Multiplication/Division, Addition/Subtraction

We have to do operations by the Order of Operations(PEMDAS)

Parentheses:

           Addition/Subtraction:

            (7 - 1)

             (6)

16/4 + 56 - 6

Multiplication/Division

4 + 56 - 6

Addition/Subtraction

60 - 6

54

Need Assistance With This
*Please Show Work*​

Answers

Answer:

a =7.5

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+ b^2 = c^2  where a and b are the legs and c is the hypotenuse

a^2 + 10 ^2 = 12.5^2

a^2 + 100  =156.25

Subtract 100 from each side

a^2 = 56.25

Take the square root of each side

sqrt(a^2) = sqrt( 56.25)

a =7.5

Write an equation of the line that passes through the point (5, -8) with slope 5

Answers

Answer:

y=5x-33

Step-by-step explanation:

We are given a point and a slope. Use the slope-intercept formula.

[tex]y-y_{1} =m(x-x_{1} )[/tex]

where (x1, y1) is a point on the line and m is the slope.

The slope is 5 and the point is (5,-8).

x1=5

y1= -8

m=5

[tex]y--8 =5(x-5 )[/tex]

We want to find the equation of the line, which is y=mx+b (m is the slope and b is the y-intercept). Therefore, we must get y by itself on one side of the equation.

[tex]y+8=5(x-5)[/tex]

First, distribute the 5 on the right side of the equation. Multiply each term inside the parentheses by 5.

[tex]y+8=(5*x)+(5*-5)[/tex]

[tex]y+8=5x-25[/tex]

Next, subtract 8 from both sides since it is being added on to y.

[tex]y+8-8=5x-25-8[/tex]

[tex]y=5x-25-8[/tex]

[tex]y=5x-33[/tex]

The equation of the line is: y=5x-33

What is the area of the shaded region? 21 mm2 24 mm2 42 mm2 48 mm2

Answers

Answer:

B or 24 mm2

Step-by-step explanation:

Just did the test :)

The area of the shaded region is 24mm^2

What is the area of triangle?

Let b be the base and h be the height of the triangle. The area of the triangle is given by bh/2 square units.

Step 1: Find area of the larger triangle

Here base b = 5 mm

Height h = 12 mm

Area of the larger triangle = (5*12)/2 = 60/2 = 30mm^2

Step 2: Find area of the smaller triangle

Here base b = 3 mm

Height h = 4 mm

Area of the smaller triangle = (3*4)/2 = 12/2 = 6 mm^2

Step 3: Find area of the required shaded region

Area of the required shaded region = Area of larger triangle - Area of smaller triangle

= 30 mm^2 - 6 mm^2

=24 mm^2

Hence, the area of the shaded region is 24mm^2

Learn more about area of triangle here:

https://brainly.com/question/17335144

#SPJ2

A crew clears brush at a rate 2/3 acre in 2 days. How long will it take the same crew to clear the entire plot of 4 acres?

Answers

Answer:

It takes the crew 12 days to clear the bush.

Step-by-step explanation:

Given clears 2/3 acres / 2 days, or 1/3 acre per day

Time to clear 4 acres

= 4 / (1/3)

= 4 * (3/1)

= 12 days

What is x in this Math problem 2/3x=27

Answers

Answer: x = 40.5

Step-by-step explanation:

Simply divide 27/(2/3) to get 40.5

Hope it helps <3

Answer:

x= 40.5

Step-by-step explanation:

We want to find out what x is. Therefore, we must get x by itself on one side of the equation.

2/3x= 27

2/3 and x are being multiplied. The inverse of multiplication is division. Divide both sides of the equation by 2/3.

2/3x / 2/3 = 27/ 2/3

When dividing by a fraction, you can also multiply by the reciprocal of the fraction.

To find the reciprocal, flip the numerator (top number) and denominator( bottom number)

2/3 —> 3/2

Multiply both sides of the equation by 3/2

2/3x *3/2 = 27*3/2

x= 27*3/2

x= 27/1*3/2

x= (27*3)/(1*2)

x= 81/2

x= 40.5

What type of model best fits the height of a tree increases by 2.5 feet each growing season

Answers

Answer:

Step-by-step explanation:

A linear graph with y values (height of tree) going up 2.5 with each increase of x (growing season)

This is the model that best fits the graph describing a growth of a plant

Which statement is true about the function f(x)= -x?
O The domain of the graph is all real numbers.
The range of the graph is all real numbers.
O The domain of the graph is all real numbers less than or equal to 0.
The range of the graph is all real numbers less than or equal to 0.

Answers

Answer:

The domain of the graph is all real numbers less than or equal to 0.

Step-by-step explanation:

Hello,

We know that we cannot take square root of negative numbers, so we must have

[tex]-x\geq 0 \ \text{ ***multiply by -1, it changes the inequality, so*** } \\ \\\large \boxed{\sf \ \ x\leq0 \ \ }[/tex]

So the domain of the graph is all real numbers less than or equal to 0.

For information, I attached the graph so that we can verify it.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Write the slip-intercept form of the equation of the line described
- through: (4,1), parallel to y = 5/6x - 3
- through: (3,3), perp. to y= -3/8x + 2

Answers

Answer:

1) y=⅚x -2⅓

2) y=8/3x -5

Step-by-step explanation:

Point-slope form:

y=mx+c, where m is the gradient and c is the y-intercept.

Parallel lines have the same gradient.

Gradient of given line= [tex] \frac{5}{6} [/tex]

Thus, m=⅚

Susbt. m=⅚ into the equation,

y= ⅚x +c

Since the line passes through the point (4, 1), (4, 1) must satisfy the equation. Thus, substitute (4, 1) into the equation to find c.

When x=4, y=1,

1= ⅚(4) +c

[tex]1 = \frac{20}{6} + c \\ c = 1 - \frac{20}{6} \\ c = 1 - 3 \frac{1}{3} \\ c = - 2 \frac{1}{3} [/tex]

Thus the equation of the line is [tex]y = \frac{5}{6} x - 2 \frac{1}{3} [/tex].

The gradients of perpendicular lines= -1.

Gradient of given line= -⅜

-⅜(gradient of line)= -1

gradient of line

= -1 ÷ (-⅜)

= -1 ×(-8/3)

= [tex] \frac{8}{3} [/tex]

[tex]y = \frac{8}{3} x + c[/tex]

When x=3, y=3,

[tex]3 = \frac{8}{3} (3) + c \\ 3 = 8 + c \\ c = 3 - 8 \\ c = - 5[/tex]

Thus the equation of the line is [tex]y = \frac{8}{3} x - 5[/tex].

A 440 kg roller coaster car is going 26 m/s when it reaches the lowest point on the track. If the car started from rest at the top of a hill, how much higher was that point on the track than the lowest point? (Use g = 9.80 m/s2, and ignore friction.)

Answers

Answer:

34.49 m

Step-by-step explanation:

Use the formula height = [tex]\frac{v^{2} }{2g}[/tex]

1. Substitute in the values given

26² / 2(9.8)

2. Simplify and solve

676 / 19.6 = 34.49

Answer:

The answer is C: 34 m

Kimberly wants to paint all the surfaces of the table shown below.
Which measure BEST helps her determine how much paint she needs?
А
the volume of 1 rectangular prism and 4 cylinders
B
the surface area of 1 rectangular prism and 4 cylinders
С
the surface area of 5 rectangular prisms
D
the volume of 5 rectangular prisms

Answers

Answer:

C. surface area of 5 rectangular prisms.

Step-by-step explanation:

The table in the given figure as shown above has a rectangular flat top that has a solid shape of rectangular prism.

It also has 4 legs that are also rectangular in shape. The legs are rectangular prisms.

To determine the quantity of paint Kimberly would need, she needs to make use of the surface area of the table.

The surface area of the table = surface area of the top + surface area of the 4 legs = surface area of 5 rectangular prisms.

Answer:

C

Step-by-step explanation:

Of the following points, name all that lie on the same horizontal line? (1,-2) (-1,2) (-2,1) (2,-1)

Answers

Hey there!

If a line is horizontal, the entire line is at the same elevation. On a line, the elevation is the y-value. So, all of the points with the same y-value are on the same horizontal line.

We see that all of these points have different y-values so none of them would be on the same horizontal line.

I hope that this helps! Have a wonderful day!

use what you know about zeros of a function and end behavior of a graph that matches the function f(x) = (x+3)(x+2)(x-1)​

Answers

Answer:

The zeros are x=-3,-2,1

end behavior is one up one down

Step-by-step explanation:

The zeros are x=-3,-2,1

The end behaviors are one up one down because the function is of degree 3 meaning it is odd function and has opposite end directions.

In how many ways can the letters of the word CARPET be arranged

Answers

Answer: In so many ways ;

acre cape care carp cart cate pace pact pare part pate pear peat pert prat race atrapt rate reap race tape tare tarp tear tepatrap

ace act ape apt arc are art ate cap car cat cep ear eat era pack par pat pea pec per pet rap rat rec rep ret tap tar tea

And so on .

Answer:

720

Explanation:

you would be using permutation i believe

because carpet has 6 letters you have six placement options

_x_x_x_x_x_

if you can only use the letters once

you can put all letters in p1

so 6x_x_x_x_x_

but because of that you would only be able to put all but one in p2 and one less than p2 in p3 going all the way to 1 in the last

so 6x5x4x3x2x1

i might be wrong but this has worked for me

Find the volume of each cone.​

Answers

Answer: 6 cm, V=48π or V=150.8 cm³

It appears the question is asking for the radius, but below I have shown how to find the volume.

Step-by-step explanation:

The radius is half of the diameter. The diameter of the cone of 12 cm. Half of 12 is 6. Therefore, the radius is 6 cm.

The formula to find the volume of a cone is [tex]V=\pi r^2\frac{h}{3}[/tex]. Now that we have the radius from above, we can use that to plug into the equation along with the given height.

[tex]V=\pi (6^2)\frac{4}{3}[/tex]                    [expand the exponent]

[tex]V=36\pi \frac{4}{3}[/tex]                       [combine like terms]

[tex]V=48\pi[/tex] or [tex]V=150.8 cm^3[/tex]            

Select all the equations where x=3 is a solution. A. x-3=0 B. 1+ x=2 C. 9-x=3 D. 6=2x E. 15x=3 F. x2=9

Answers

Answer:

A. x-3=0  D. 6=2x  F. x^2=9

Step-by-step explanation:

Substitute x=3 into each equation

A. x-3=0   3-3 =0   0=0  x=3 is a solution

B. 1+ x=2  1+3 =2  4=2  false

C. 9-x=3 9-3 =3  6=3  false

D. 6=2x  6 = 2*3   6=6  x=3 is a solution

E. 15x=3   15*3 =3  45=3  false

F. x^2=9  3^2 = 9   9=9  x=3 is a solution

According to the National Health Statistics Reports, the standard deviation of the weights of all one-year-old baby boys born in the U.S. is 5.3 pounds. A random sample of 360 one-year-old baby boys born in the U.S. had a mean weight of 25.5 pounds.
a) Construct a 90% confidence interval for the mean weight of all one-year-old baby boys in the U.S. Write a sentence that interprets this interval.
b) Should this confidence interval be used to estimate the mean weights of all one-year-old babies in the U.S.? Explain.

Answers

Answer: A) At 90% confidence interval estimate of the population mean

is,( 25.0405 , 25.9595 )

B) YES

Step-by-step explanation:

Given that,

Point estimate = sample mean  Ж = 25.5

Population standard deviation α  = 5.3

Sample size = n =360

At 90% confidence level the z is ,

∝ = 1 - 90% = 1 - 0.90 = 0.1

∝ / 2 = 0.1 / 2 = 0.05  

Z∝/2 = Z0.05 = 1.645 ( WHEN WE USE THE Z TABLE )

Margin of error E = Z∝/2 * ( α/√n)

E = 1.645 * (5.3 / √360 )  = 0.4595

At 90% confidence interval estimate of the population mean

is

Ж - E < ц < Ж + E  

25.5 - 0.4595 <  ц < 25.5 + 0.4595  

25.0405 <  ц < 25.9595  

( 25.0405 , 25.9595 )

At 90% confidence interval estimate of the population mean

is,( 25.0405 , 25.9595 )

B) This confidence interval can be used to estimate the mean weight of all one - year old babies in the US since the mean value of 25.5 falls within the confidence values, we have sufficient evidence to

conclude that the mean weight of all one-year-old boys is 25.5

the domain of u(x) is the set of all real values except 0 and the domain of v(x) is the set of all real values excpet 2. what are the restrictions on the domain of (u•v)(x)?

Answers

Answer:

[tex](-\infty, 0) \cup (0,2) \cup (2,\infty)[/tex]

Step-by-step explanation:

Remember that the domain of the product of functions is the intersection of domains, therefore when you intercept them you get the following interval.

[tex](-\infty, 0) \cup (0,2) \cup (2,\infty)[/tex]

Which set of ordered pairs represents a function? {(0,1), (1,3), (1,5) (2,8)}, {(0,0), (1,2), (2,6), (2,8)}, {(0,0), (0,2), (2,0), (2,4)}, {(0,2), (1,4), (2,6), (3,6)}

Answers

Answer:

The last set.

Step-by-step explanation:

The first 3 sets  contain  'one-to-many' relations , for example (1, 3) and (1, 5) in set 1 and (0, 0) and (0, 2) in set  3 , so they are not functions.

The last set does not have any of these and is a function.

Other Questions
Home Appliance Corporation contracts with Instate Trucking Company to take a selection of appliance repair parts to Journey Airlines, Inc., with Journey to transport the goods to a KeepSafe Company warehouse. Instate Trucking, Journey Airlines, and KeepSafe each acknowledge possession of the goods by a document of title. Instate Trucking, Journey Airlines, and KeepSafe are Barbara was in the cosmetic aisle looking for some lipstick. People were in her way, and she was annoyed. She pushed past them, got what she needed, and checked out. But she was rude to the cashier. Barbara was snotty to her mother when she arrived home. When Barbara went to school, she was rude to the lunch workers. Barbara was almost always irritable. Is Barbara's irritability a trait or state Hey loves!!! This is my last question(for now).Please help. A bus traveled 40 miles during the second hour of a trip. This was 1/3 more than the distance traveled during the first hour. In the third hour the bus traveled a distance that was 1/4 more than in the second hour. What was the total distance that the bus traveled in 3 hours The equilibrium between carbon dioxide gas and carbonic acid is very important in biology and environmental science. CO2 ( aq) + H2O ( l) H2CO3 ( aq) Which one of the following is the correct equilibrium constant expression (K c) for this reaction?a) K =[H2CO3]/ [CO2]b) K=[CO2]/ [H2CO3]c) K=[H2CO3]/ [CO2][H2O]d) K=[CO2][H2O]/ [H2CO3]e) K=1/[H2CO3] whats 1,112,433 rounded to nearest ten thousand Enforcement of the Sherman Antitrust Act benefited consumers by Assume that on December 31, 2019, Kimberly-Clark Corp. signs a 10-year, non-cancelable lease agreement to lease a storage building from Sheffield Storage Company. The following information pertains to this lease agreement.1. The agreement requires equal rental payments of $67,299 beginning on December 31, 2019.2. The fair value of the building on December 31, 2019 is $492,571.3. The building has an estimated economic life of 12 years, a guaranteed residual value of $10,500, and an expected residual value of $7,300. Kimberly-Clark depreciates similar buildings on the straight-line method.4. The lease is nonrenewable. At the termination of the lease, the building reverts to the lessor.5. Kimberly-Clarks incremental borrowing rate is 8% per year. The lessors implicit rate is not known by Kimberly-Clark.a. Prepare the journal entries on the lessees books to reflect the signing of the lease agreement and to record the payments and expenses related to this lease for the years 2019, 2020, and 2021. Kimberly-Clarks fiscal year-end is December 31.b. Suppose the same facts as above, except that Kimberly-Clark incurred legal fees resulting from the execution of the lease of $5,000, and received a lease incentive from Sheffield to enter the lease of $1,000. How would the initial measurement of the lease liability and right-of-use asset be affected under this situation?Right-of-use asset $:c. Suppose that in addition to the $67,299 annual rental payments, Kimberly-Clark is also required to pay $5,000 for insurance costs each year on the building directly to the lessor, Sheffield Storage. How would this executory cost affect the initial measurement of the lease liability and right-of-use asset? (Round answer to 0 decimal places, e.g. 5,275.)Lease liability $d. Now suppose that, at the end of the lease term, Kimberly-Clark took good care of the asset and Sheffield agrees that the fair value of the asset is actually $10,500. Record the entry for Kimberly-Clark at the end of the lease to return control of the storage building to Sheffield (assuming the accrual of interest on the lease liability has already been made). Find the average rate of change of the function f(x), represented by the graph, over the interval [-4, -1]. Calculate the average rate of change of f(x) over the interval [-4, -1] using the formula . The value of f(-1) is . The value of f(-4) is . The average rate of change of f(x) over the interval [-4, -1] is . A store has been selling a certain TV for $210. If the store raised the price by 5% (of the originalprice), what would be the new price? I have these questions, please help me ! A young man sets a goal to compete in a marathon in two weeks. He started training last week by exercising three to four times a week with his friend. After each training session he writes his daily experiences to assess problems that may hinder his achievements. What aspect of his fitness program could keep him from achieving his goal? A. The use of a friend as a support system will decrease the likelihood of John achieving his goal. B. Assessing training obstacles once a week is not frequent enough to solve problems that arise. C. Training three to four times a week is too intense and may cause injury. D. The original goal that John set does not leave him enough time to train. A flat loop of wire consisting of a single turn of cross-sectional area 8.60 cm2 is perpendicular to a magnetic field that increases uniformly in magnitude from 0.500 T to 2.40 T in 1.02 s. What is the resulting induced current if the loop has a resistance of 2.80 At what blood ALCOHOL concentration would most people become unconsciousa) 0.10-0.15%b) 0.15-0.20%c) 0.30-0.35%d) 0.40-0.45% What is the factored form of the polynomial? z2 10z + 25 is the perpendicular bisector of . What is the length of ? A.4B.6C.12D.7 Defnet Electronics, Inc., is considering implementing a policy for reporting harassment. That policy should include a clear and accessible procedure for reporting harassment that does not limit reporting to the employee's supervisor.a.Trueb. False PLEASE HELP! 20 POINTS!!(c) Analysts predict the share price of a new company, Hydrate Energy, to be modelled by the equationV = 2.95 + 2log10 (10t + 1) where t is the number of years and V is the value in dollars.(i) How much do they expect the share price to increase in value between the first and third years?Show working The process in which the title company oversees the closing or document signing of the loan in close conjunction with the entity performing the escrow function on the loan is known as what...? If the government guarantees sugar farmers a price of $1 per pound when the market equilibrium price is actually $0.50 per pound, which of the following will occur? a) A shortage of sugar will occur, increasing inefficiency. b) A shortage of sugar will occur, decreasing inefficiency. c) A surplus of sugar will occur, increasing inefficiency. d) A surplus of sugar will occur,decreasing inefficiency.