1. Explain, without graphing, how you can determine whether the table below represents a
linear equation
X
y
-6-3
-2-1
0
1
1
2
4
6

Answer:

C?

Step-by-step explanation:

Answer:

1. -6y^4 +4y^2 -12

2. x - 19

Step-by-step explanation:

1.

(6y^4+3y^2-7) - (12y^4-y^2+5)

= -6y^4+ 4y^2- 12

2. 3(x-5) - (3x+4)

= (3x-15) - (3x+4)

= x-19

Answer:

D. x ≈ 3.3, y = 15.7

Step-by-step explanation:

x = Opposite

y = Adjacent

16 = Hypotenuse

θ = 12°

To find x, we solve using the Trigonometric function of Sine

sin θ = Opposite/ Hypotenuse

x = Opposite

sin 12 = x/16

Cross Multiply

x = sin 12 × 16

x = 3.3265870531

Approximately, x ≈ 3.3

To find y, we solve using the Trigonometric function of cosine

cos θ = Adjacent/ Hypotenuse

y = Adjacent

cos 12 = y/16

Cross Multiply

y = cos 12 × 16

y = 15.650361612

Approximately, y ≈ 15.7

Therefore, x ≈ 3.3, y = 15.7

Option D is correct

Answer:

(a) Point estimate = 7.10

(b) The critical value is 1.960

(c) Margin of error = 0.800

(d) Confidence Interval = (6.3, 7.9)

(e) We are 90% confident that the average number of hours worked by the students is between 6.3 and 7.9

Step-by-step explanation:

Given

[tex]\bar x = 7.10[/tex] -- sample mean

[tex]\sigma=5[/tex] --- sample standard deviation

[tex]n = 150[/tex] --- samples

Solving (a): The point estimate

The sample mean can be used as the point estimate.

Hence, the point estimate is 7.10

Solving (b): The critical value

We have:

[tex]CI = 90\%[/tex] --- the confidence interval

Calculate the [tex]\alpha[/tex] level

[tex]\alpha = 1 - CI[/tex]

[tex]\alpha = 1 - 90\%[/tex]

[tex]\alpha = 1 - 0.90[/tex]

[tex]\alpha = 0.10[/tex]

Divide by 2

[tex]\frac{\alpha}{2} = 0.10/2[/tex]

[tex]\frac{\alpha}{2} = 0.05[/tex]

Subtract from 1

[tex]1 - \frac{\alpha}{2} = 1 - 0.05[/tex]

[tex]1 - \frac{\alpha}{2} = 0.95[/tex]

From the z table. the critical value for [tex]1 - \frac{\alpha}{2} = 0.95[/tex] is:

[tex]z = 1.960[/tex]

Solving (c): Margin of error

This is calculated as:

[tex]E = z * \frac{\sigma}{\sqrt n}[/tex]

[tex]E = 1.960 * \frac{5}{\sqrt {150}}[/tex]

[tex]E = 1.960 * \frac{5}{12.25}[/tex]

[tex]E = \frac{1.960 *5}{12.25}[/tex]

[tex]E = \frac{9.80}{12.25}[/tex]

[tex]E = 0.800[/tex]

Solving (d): The confidence interval

This is calculated as:

[tex]CI = (\bar x - E, \bar x + E)[/tex]

[tex]CI = (7.10 - 0.800, 7.10 + 0.800)[/tex]

[tex]CI = (6.3, 7.9)[/tex]

Solving (d): The conclusion

We are 90% confident that the average number of hours worked by the students is between 6.3 and 7.9

Answer:

80 degree

Step-by-step explanation:

missing angle + 100 degree = 180 degree (being co interior angles )

missing angle = 180 - 100

missing angle 80 degree

Answer:

slope of a line is 2/3

Step-by-step explanation:

the coordinate points are:

(3,4)=(x1 , y1)

(0,-2)=(x2 , y2)

slope=y2 - y1/x2 - x1

=-2-4/0-3

=-2/-3

=2/3

Answer:

The answer is 14.

Step-by-step explanation:

All you had to do was add all the amount of students that scored 80 to 100 and you would have got your answer.

Answer:

rational  

Step-by-step explanation:

Answer:

Step-by-step explanation:

Explanation: It is an irrational number. A number is rational if it can be expressed as a quotient of 2 integer numbers. Number π2 cannot be expressed as a quotient of integers, so it is an irrational number.

Answer:

B, 33%

Step-by-step explanation:

Let us find the original price of four chairs without the special deal, and compare it with the deal to find the percent savings.

Step 1:

A customer must buy 4 chairs costing $75 each to recieve the deal. Let us multiply 4 by 75 to find the total cost without the deal:

[tex]4*75=\\300[/tex]

Step 2:

We now know the original cost of the 4 chairs, and the price of 4 chairs with a deal. Let us subtract the difference of costs and convert it into a percentage to find percent savings:

[tex]300-200=100\\\frac{100}{300} =\frac{1}{3}[/tex]

[tex]\frac{1}{3}=33[/tex]%

Therefore, B, the percent savings is 33%.

I hope this helps! Let me know if you have any questions :)

Answer:

a 1+- square root of 10

Step-by-step explanation:

subtract 3 set equation to zero then do quadratic formula break it down then you 2 square root of 10 over 2 divide to get square root of 10 by itself 2 divided by 2 is 1 therefore leaves 1 ^^.

answer is 200 lol pretty easy

Answer:

He sold 200 loaves

Step-by-step explanation:

if he sells twice as many the next week the equation would be

100 times 2 = x

therefore, the answer is 200

Answer:

56

Step-by-step explanation:

I don't quite understand your question but I assumed you meant what is 70% of 80

Answer:

B

Step-by-step explanation:

Not much to say but that i the definition.  You sing the midpoint of each side, make a perpendicular line and see where the three perpendicular bisectors intersect.  

A is the incenter, C sounds like the Orthocenter and D sounds like the centroid.

Aside from being able to tell from the parts of the words, you just kinda have to memorize these.  

Answer:

x = 92°

Step-by-step explanation:

The angle measure of the central angle is congruent to the measure of the intercepted arc.

Answer:

x = 3, y = - 2

Step-by-step explanation:

Simplify the 2 given equations

3(x + 1) - 5(y + 2) = 12 ← distribute left side

3x + 3 - 5y - 10 = 12

3x - 5y - 7 = 12 ( add 7 to both sides )

3x - 5y = 19 → (1)

----------------------------------

5(- 3 + 2x) - 3(4 - y) = - 3 ← distribute left side

- 15 + 10x - 12 + 3y = - 3

10x + 3y - 27 = - 3 ( add 27 to both sides )

10x + 3y = 24 → (2)

-------------------------------------------

Solve the 2 equations simultaneously

3x - 5y = 19 → (1)

10x + 3y = 24 → (2)

Multiplying (1) by 3 and (2) by 5 and adding the result will eliminate y

9x - 15y = 57 → (3)

50x + 15y = 120 → (4)

Add (3) and (4) term by term to eliminate y

59x = 177 ( divide both sides by 59 )

x = 3

Substitute x = 3 into either of the 2 equations and solve for y

Substituting into (1)

3(3) - 5y = 19

9 - 5y = 19 ( subtract 9 from both sides )

- 5y = 10 ( divide both sides by - 5 )

y = - 2

Solution is x = 3, y = - 2

Answer: The coordinate of the solution is (0.25,-0.5)

Step-by-step explanation:

the solution is (0.25,-0.5) because when you graph them on a graph, they both intercept at that point.

Step-by-step explanation:

the answer is in the above image

The number of combinations possible if a 3-member committee has to be formed from 2 teachers and 2 parents is 4 combinations

Combinations have to do with selection compared to permutation that has to do with the arrangement.

If a 3-member committee has to be formed from 2 teachers and 2 parents, the total committee is given as:

Total committee members  = 2 + 2

Total committee members = 4 committees

If 3-member committee has to be formed from them, the number of ways this can be done is given as:

4C3 = 4!/(4-3)!3!
4C3 = 41/3!
4C3 = 4 ways

Hence the number of combinations possible if a 3-member committee has to be formed from 2 teachers and 2 parents is 4 combinations

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Answer:

It is 300.88.

Step-by-step explanation: In order for the perimeter of the base to be 18.2, the length and width would have to be 9.1, knowing this, you can plug it into the formula for a pyramid like usual with the height provided.

Answer:

√27-2 =27-22

√25. =5

the answer is option B

x=27

Answer:

option B : x = 27

Step-by-step explanation:

Answer:

The answer is "105 kilowatt-hour".

Step-by-step explanation:

Number of kilowatts[tex]= 7\ KW[/tex]

Total hours[tex]= 15 \ hours[/tex]

The total number of kilowatt-hour:

[tex]=7 \times 15\\\\= 105 \ kilowatt-hour[/tex]

Answer: The value of y is 8

Step-by-step explanation:

Since we know x=2 we can sub in 2 for x in the equation

y=2(2)+4

y=4+4

y=8

Answer:

x=0, y=2

Step-by-step explanation:

if you substutute the answers you will get the correct answer

[tex]\sf\purple{The\: square\: root \:of \:50\: is\: 5√2.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\blue{Step-by-step\:explanation}}{\blue{:}}}}}[/tex]

Error made by Jaclyn ⤵

[tex] \sqrt{50} [/tex]

[tex]\sf\red{=\:2√25}[/tex] ❌

Correct way to solve it ⤵

[tex] \sqrt{50} \\ \\ = \sqrt{5 \times 5 \times 2} \\ \\ = \sqrt{ {5}^{2} \times 2} \\ \\ = \sqrt{ {5}^{2} } \times \sqrt{2} \\ \\ = 5 \sqrt{2} \\ \\ (∵ \sqrt{ {a}^{2} } = a)[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Answer:

8 and 17

Step-by-step explanation:

Let the number x and y

Sum of numbers, x + y = 25 -----------( 1 )

One number exceeds other by 9,

 that is difference between the numbers is 9, x - y = 9

                                                                       => x = 9 + y   --------- ( 2 )

Substitute ( 2 ) in ( 1 )

( 9 + y ) + y = 25

2y = 25 - 9

2y = 16

y = 8

Substitute y = 8 in ( 2 ) : x = 9 + y

                                        = 9 + 8 = 17

Therefore the 2 numbers are 8 and 17

Answer:

The answer would be that one number is 8 and the second is 17.

The sum of these two numbers is 25, ad 17 and 8 have a difference of 9

Step-by-step explanation:

Answer:

B. x=4

Step-by-step explanation:

It should be the short front length times the total length of the tangent.

6(16)=8(8+x)

96=64+8x

32=8x

4=x

The value of the variable x is 7.5. Option D

A line that touches the circle at a single point is known as a tangent to a circle.

The point where tangent meets the circle is called point of tangency. The tangent is perpendicular to the radius of the circle, with which it intersects.

From the information given, we have that;

10(6) = 8(x)

expand the bracket, we get;

60 = 8x

Now, divide both sides by the coefficient of x, we get;

x = 60/8

Divide the values

x = 7.5

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#SPJ6

Answer:

2x - 3

Step-by-step explanation:

The Distributive Property of Multiplication applies here.  Multiply each of the two terms inside parentheses by-1/4:  2x - 3

Answer:

La altura del depósito para que pueda contener 1000 metros cúbicos de agua es 2 m.

Step-by-step explanation:

Para calcular el volumen de un prisma rectangular, es necesario multiplicar sus 3 dimensiones: longitud*ancho*altura. El volumen se expresa en unidades cúbicas.

En este caso, se conoce la longitud y el ancho, cuyos valores son 25 y 20 metros. A su vez, se sabe que el depósito de agua debe contener 1000 m³. Entonces, siendo:

Volumen= longitud*ancho*altura

Y reemplazando los valores se obtiene:

1000 m³= 25 m* 20 m* altura

Resolviendo:

1000 m³= 500 m²* altura

[tex]altura=\frac{1000 m^{3} }{500 m^{2} }[/tex]

altura= 2 m

La altura del depósito para que pueda contener 1000 metros cúbicos de agua es 2 m.

Answer: labor force participation rate  =60%

unemployment rate = 6.67%

Step-by-step explanation:

The labor force participation rate is computed as

[tex]\text{labor force participation rate}=\dfrac{\text{Total employed persons}}{\text{Total population}}[/tex]

i.e. [tex]\text{labor force participation rate}= \dfrac{72000}{120000}[/tex]

[tex]= 0.6\ or\ 60 \%[/tex]

The unemployment rate is computed as:

[tex]\text{unemployment rate}=\dfrac{\text{Number of personsdon't have jobs }}{\text{Total population}}\\\\\text{unemployment rate}=\dfrac{8000}{120000}\\\\\text{unemployment rate}=0.0667\ or\ 6.67\%[/tex]

Hence, labor force participation rate  =60%

unemployment rate = 6.67%

The volume occupied by a 350 pound sphere is 2.33 ft³.

Equation is an expression used to show the relationship between one or more numbers and variables.

Let y represent the weight of the sphere in pounds and x represent the volume in feet³, hence:

y = 150x

For a 350 pounds sphere:

350 = 150x

x = 2.33 ft³

The volume occupied by a 350 pound sphere is 2.33 ft³.

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