Select all values of x that make the inequality true: (6x<24)
A. -8
B. -7
C. 6
D. 7
E. 8

Answer:

Expression : $462.30 * m

Answer:

4x + 10 >54

-10. -10

4x> 44

/4. /4

x= 11

4(11) +10 >54

44+10.>54

54>54

the answer is false since they're both equal

Answer:

The corresponding point estimate is 0.882.

The sample standard deviation is 1.373.

Step-by-step explanation:

The data set is:

S = {25.01, 25.87, 26.34, 26.51, 26.75, 27.24, 27.40, 27.63, 27.83, 27.90, 28.08, 28.13, 28.37, 28.58, 28.59, 28.96, 29.20, 29.22, 29.38, 30.88}

Compute the mean as follows:

\(\bar X=\frac{1}{n}\sum X\\\\=\frac{1}{20}\times [25.01+25.87+...+30.88]\\\\=\frac{1}{20}\times 557.87\\\\=27.8935\)

Subtract the mean from each value and take the modulus of those values.

The new data set is:

S₁ = {2.8835, 2.0235, 1.5535, 1.3835, 1.1435, 0.6535, 0.4935, 0.2635, 0.0635, 0.0065, 0.1865, 0.2365, 0.4765, 0.6865, 0.6965, 1.0665, 1.3065, 1.3265, 1.4865, 2.9865}

Arrange these values in ascending order as follows:

S₂ = {0.0065 , 0.0635 , 0.1865 , 0.2365 , 0.2635 , 0.4765 , 0.4935 , 0.6535 , 0.6865 , 0.6965 , 1.0665 , 1.1435 , 1.3065 , 1.3265 , 1.3835 , 1.4865 , 1.5535 , 2.0235 , 2.8835 , 2.9865}

There are 20 observations in the data set.

The median value for an even set of values is the mean of the middle two values.

In this case the median will be the mean of the 10th and 11th observations.

\(\text{Median}=\frac{10^{th}obs.+11^{th}obs.}{2}=\frac{0.6965+1.0665}{2}=0.8815\approx 0.882\)

Thus, the corresponding point estimate is 0.882.

Compute the standard deviation as follows:

In set S₁ we computed the absolute mean deviations.

Now take the square of these values and divide by (n - 1) to compute the sample variance:

\(\sigma^{2}=\frac{1}{n-1}\sum (|X_{i}-\bar X|)^{2}\)

     \(=\frac{1}{20-1}\times [(2.8835)^{2}+(2.0235)^{2}+...+(2.9865)^{2}]\\\\=\frac{1}{19}\times 35.7953\\\\=1.88396\)

Compute the sample standard deviation as follows:

\(\sigma=\sqrt{\sigma^{2}}=\sqrt{1.88396}=1.373\)

Thus, the sample standard deviation is 1.373.

The value of  a and b in the product of 4+3i  and its conjugate in the format a + bi are 25 and 0.

The conjugate is where we change the sign in the middle of two terms. For example:

3y + 1

conjugate of 3y + 1 is 3y - 1.

Therefore, the conjugate of 4 + 3i is 4 - 3i.

The product of 4 + 3i and its conjugate is as follows:

(4 + 3i)(4 - 3i) = 16 - 12i + 12i - 9(i)²

Therefore,

16 - 9i²

i² = -1

Hence,

16 - 9(-1) = 25

It can be written in the form a complex form → (25 + 0.i)

Therefore, a = 25 and b = 0.

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Answer:

\(\huge\boxed{\sf Yes.}\)

Step-by-step explanation:

In a right angled triangle, the longest side is called hypotenuse.

So,

Hypotenuse = 13 m

The rest are:

Base = 5 m

Perpendicular = 12 m

Using Pythagoras Theorem to verify:

\((Hypotenuse)^2=(Base)^2+(Perpendicular)^2\)

Put the given data

(13)² = (12)² + (5)²

169 = 144 + 25

Since, both left hand side and right hand side are equal, this means the triangle is a right-angled triangle.

\(\rule[225]{225}{2}\)

Answer:

l-3l=3 and -3=-3

Step-by-step explanation:

The two bars mean you are finding the absolute value of a number. Absolute value is the distance from zero a number is. Since distance is always positive it basically just means take away the negative if there is one. For example,

l-7l=7 and l8l=8. So the difference is -3 is negative while l-3l is positive.

Answer:

the first tem is greater than the second term so 3>-3

Step-by-step explanation:

you have to simplify the terms first.

3 is greater than -3

The equations of the proportional relationships from the table are k = 5h, k = 5/4h and k = 1/5h

From the question, we have the following parameters that can be used in our computation:

The equation of a proportional relationship is represented as

k = Y/X * h

Where

(X, Y) is the coordinate of any ordered pair from the function or table

Using the above as a guide, we have the following:

Table 1

k = 10/2 * h

Evaluate the products and the quotient

k = 5h

Table 2

k = 5/4 * h

Evaluate the products and the quotient

k = 5/4h

Table 3

k = 5/25 * h

Evaluate the products and the quotient

k = 1/5h

Hence, the equations are k = 5h, k = 5/4h and k = 1/5h

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Answer:

\(let \: w \: be \: the \: width \: and \: l = 2w \\ area \: = 128 = (w)(2w) \\ 2{w}^{2} = 128 \\ {w}^{2} = 64 \\ w = 8 \: yd \\ l = 16 \\ perimeter \: = 2(8) + 2(16) = 48 \: yd\)

An equation that expresses the total cost in terms of the number of hours required to complete the job is \(C = 32h + 31.50\)

We will use "h" to represent the number of hours required to complete the job.

As cost per hour is K32, so, if it takes "h" hours to complete the job, then the cost will b:

=  K32 *  h.

We have one-time charge of K31.50, which is added to the total cost. So, the equation that expresses the total cost "C" in terms of the number of hours required to complete the job "h" is C = 32h + 31.50

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The additional gas it will take to fill the tank is 16 gallons

From the question, we have the following parameters that can be used in our computation:

Capacity = 24 gallons

Current volume = 1/3 full

This means that

Remaning volume = 1 - 1/3

Evaluate

Remaning volume = 2/3

The additional gas it will take to fill the tank is

Additional = 2/3 * 24

Evaluate

Additional = 16

Hence, the additional gas it will take to fill the tank is 16 gallons

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The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

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Answer:

v = 5

Step-by-step explanation:

Collect like-terms:

\(8v = 3v + 25\)

\(8v - 3v = 25\)

\(5v = 25\)

Divide both sides by 5 to make v the subject:

\(v = 5\)

Answer:

Since the equation is addition, reverse it into subtraction. 210-53.715-51.3-52.62= 52.365. You can add 53.715 by 51.3 by 52.62 by 52.365 to check your answer, and it will be 210 so the 4th runner ran 52.365 seconds.

i also got this question but i figured it out lol

Answer:

x = 14

y = 30

Step-by-step explanation:

x + 10 = 3x - 18

x = 3x - 18 - 10

x = 3x -28

x - 3x = -28

-2x = -28

x = 14

(3x - 18) + (6y - x - 10) = 180

3x - x -18 - 10 + 6y = 180

2x - 28 + 6y = 180

2x + 6y = 180 + 28

2(14) + 6y = 208

6y = 208 - 28

6y = 180

y = 30

I hope this helps!

The new set B = {1, 2, 3, 5, 7}, and the intersection of A, B, and C would be D = {2}.

Intersection is the point at which two sets of data meet. It is the common point or element that exists in both sets.

The intersection of the three sets A, B, and C is the set of elements that are common to all three sets.

In this case, the intersection of A, B, and C is the null set, denoted as ∅. This means that there are no elements that are common to all three sets.

To make the intersection set D = {2}, one of the sets must contain the element 2.

In this case, set A already contains the element 2, so it is sufficient to add the element 2 to one of the other sets, either set B or set C.

Let's say we add the element 2 to set B. The new set would be B = {1, 2, 3, 5, 7}, and the intersection of A, B, and C would be D = {2}.

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Answer:

16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

8 - ( - 3 - 7 ) - 2

8 - ( - 10 ) - 2

8 + 10 - 2

18 - 2

16

Answer:

Welcome to Gboard clipboard, any text that you copy will be saved here.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Tap on a clip to paste it in the text box.

Here's an answer! :)

Answer:

9 × (60-5) is 495

Step-by-step explanation:

To find a suitable property for the expression 9 × (60-5), we can simplify the expression first:

9 × (60-5) = 9 × 55

Now, let's evaluate this expression:

9 × 55 = 495

Therefore, a suitable property for the expression 9 × (60-5) is 495

Answer: x=35

Step-by-step explanation:

Answer:

36.56

Step-by-step explanation:

the area of a circle is r^2×pi (here 2^2×pi) then add the area of the middle rectangle (so 4×6)

The angle measure that belongs in the green box is given as follows:

70.67º.

We consider a triangle with side lengths and angles related as follows, as is the case for this problem:

Then the lengths and the sines of the angles are related as follows:

sin(A)/a = sin(B)/b = sin(C)/c.

The relation for this problem is given as follows:

sin(x)/12  = sin(76º)/12.34

Applying cross multiplication, the missing angle measure is given as follows:

sin(x) = 12 x sine of 76 degrees/12.34

sin(x) = 0.9436.

x = arcsin(0.9436)

x = 70.67º.

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Step-by-step explanation:

NOT rolling a four means out of six posssible rols you can roll a 1.2.3.5 or 6

 or      5 / 6

Answer:

9.8 sq. in.

Step-by-step explanation:

A = πr²

Diameter: 10 inches

Radius: 5 inches

A = π · 5²

A = π · 25

A = 78.54

Section 4 is about one eighth of the circle.

78.54 ÷ 8

9.8175

9.8175 ≈ 9.8

Answer:

x = 9.4  and y = 8

Step-by-step explanation

If you're using a calculator to solve this, make sure it's in Degree mode.

Solve for x:

Sin(32) =\(\frac{opp}{hyp}\) =  \(\frac{5}{x}\)

bring x to one side

x = \(\frac{5}{sin(32)}\) = 9.4

Solve for y:

Tan(32) = \(\frac{opp}{adj}\) = \(\frac{5}{y}\)

bring y to one side

y = \(\frac{5}{tan(32)}\) = 8

The area of the

The area of the shaded portion, A = area of sector  - area of triangle.

Now, Area of sector

Area of sector A = \(\theta\)/360 × πr² where

\(\theta\) = 129° and

radius of circle = 8 cm

So,

A = \(\theta\)/360 × πr²

= 129/360* 3.14* 8 * 8

= 0.3583 *200.96

= 72.0039 cm²

Now, Area of triangle

Area of triangle, A = 1/2r²sin\(\theta\)

A = 1/2 * (8 cm)²* sin129°

A = 1/2 * 64cm² * 0.7771

A= 32 cm² * 0.7771

A = 28.8687 cm²

Thus, the Area of the shaded region

= area of sector - area of triangle

= 72.0039 cm² - 28.8687 cm²

= 43.1352 cm²

Hence, the area of the shaded region is 43.1785 cm²

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Answer:

easy, literally just subtract 24.8688 from 72.0472 = 47.178

Step-by-step explanation:

Answer:

41

Step-by-step explanation:

These angles are vertical angles, and vertical angles are equal

2x+1 = 7x-99

Subtract 2x from each side

2x+1-2x = 7x-2x-99

1 = 5x-99

Add 99 to each side

1+99 = 5x-99+99

100 = 5x

Divide each side by

100/5 = 5x/5

20 =x

The 2x+1 angle equals

2(20)+1

40+1

41

Answer: x = 20 and 2x + 1° = 41°

Step-by-step explanation: In this problem, we're asked to use the diagram shown to find x and then use that to find 2x + 1°.

Notice that these angles are vertical angles

so we know that the angles are congruent.

Therefore, since the measure of one angle is 7x - 99° and the measure of the other angle is 2x + 1°, we can setup the equation 7x - 99 = 2x + 1.

Solving from here, we subtract 2x from both sides to get

5x - 99 = 1 and adding 99 to both sides, we have 5x = 100.

Dividing both sides by 5, x = 20.

To find the measure of the angle 2x + 1°, we can substitute

a 20 in for x in the equation to get 2(20) + 1 or 40 + 1 which is 41.

So the measure of the angle 2x + 1° is 41°

Answer:

$34,400

Step-by-step explanation:

35,500- 1,100= 34,400

A) $34,400 will the homeowner's insurance company pays for the damages

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

The homeowner's insurance company will pay for the damages after the deductible is subtracted from the claim amount.

In this case, the claim amount is $35,500 and the deductible is $1,100.

So, the insurance company will pay $35,500 - $1,100 = $34,400 for the damages.

Therefore, the answer is option A) $34,400.

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Answer:

16 students

Step-by-step explanation:

48+64=112

the highest number that can go into 112 equally is 16 so htere would be 7 rows and 16 students in each row

Answer:

Step-by-step explanation:

a)  

m = y2-y1 / x2-x1

P1 = (3,-4)  as (x1,y1)

P2= (5,6)  as (x2,y2)

m = 6-(-4) / 5 - 3)

m = 6+4 / 2

m = 10 / 2

m = 5

b)

m = y2-y1 / x2-x1

P1 = (5,-3)  as (x1,y1)

P2= (5,6)  as (x2,y2)

m= 6-(-3) / 5-5

m = 6+3 / 0    ( the world blows up when  you divide by zero :0  undefined )

c)

m = y2-y1 / x2-x1

P1 = (1,-1)  as (x1,y1)

P2= (8,-8)  as (x2,y2)

m = -8-(-1) / 8-1

m = -8+1 / 7

m = -7 / 7

m = -1

d)

m = y2-y1 / x2-x1

P1 = (-2.8,2)  as (x1,y1)

P2= (-1.2,2)  as (x2,y2)

m = 2-2 / a number     0 because the numerator is 0 and there is a number in the denominator

e)

m = y2-y1 / x2-x1

P1 = (c,d)  as (x1,y1)

P2= (e,f)  as (x2,y2)

m = f-d / e-c     that's all you can do until we're given those variables

f)

m = y2-y1 / x2-x1

P1 = (0,c)  as (x1,y1)

P2= (d,0)  as (x2,y2)

m = 0-c / d-0

m = -c /d