question number 20 to 22 ​

Given:

The inequalities are:

a) [tex]w<-8, w=-4.3, -5.3, -8.3, -9[/tex]

b) [tex]t>-25, t=-24, -25, -25.1, -27[/tex]

To find:

The solution of inequalities by substituting the given values.

Solution:

a) We have,

[tex]w<-8, w=-4.3, -5.3, -8.3, -9[/tex]

After substituting the given values one by one, we get

[tex]-4.3<-8[/tex] False statement.

[tex]-5.3<-8[/tex] False statement.

[tex]-8.3<-8[/tex] True statement.

[tex]-9<-8[/tex] True statement.

Therefore the solutions of [tex]w<-8[/tex] are [tex]w=-8.3, -9[/tex].

b)

We have,

[tex]t>-25, t=-24, -25, -25.1, -27[/tex]

After substituting the given values one by one, we get

[tex]-24>-25[/tex] True statement.

[tex]-25>-25[/tex] False statement.

[tex]-25.1>-25[/tex] False statement.

[tex]-27>-25[/tex] False statement.

Therefore, the solution of [tex]t>-25[/tex] is [tex]t=-24[/tex].

Let L = the numbers of hours lifeguarding

Let D = the number of hours walking dogs

Camila makes $10 per hour lifeguarding, so in L hours she will make 10L dollars. Camila makes $6 per hour walking dogs, so in D hours she will make 6D dollars. The total amount earned 10L+6D equals $114.

Since Camila worked 5 more hours lifeguarding than hours walking dogs, she worked more hours lifeguarding, so if we add 5 to the number of hours walking dogs, we will get the number of hours lifeguarding, meaning L equals D+5.

10L+6D=114

L=D+5

Answer:

Percentage: 75%

Fraction: 3/4

Step-by-step explanation:

Answer:

The class 35 - 40 has maximum frequency. So, it is the modal class.

From the given data,

[tex] {\bf \:\: {By\:using\:the\: formula}} \\ \\ [/tex]

[tex]\:\dag\:{\small{\underline{\boxed{\sf {Mode,\:M_{o} =\sf\red{x_k + {\bigg(h \times \: \dfrac{ ( f_k - f_{k-1})}{ (2f_k - f_{k - 1} - f_{k +1})}\bigg)}}}}}}} \\ \\ [/tex]

[tex]\sf \:\:\:\:\:\:\:\:\:= 35+ {\bigg(5 \times \dfrac{(50 - 34)}{ ( 2 \times 50 - 34 - 42)}\bigg)} \\ \\ [/tex]

[tex]\sf \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:= 35 +{\bigg(5 \times \dfrac{16}{24}\bigg)} \\ \\ [/tex]

[tex]\sf \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:= {\bigg(35+\dfrac{10}{3}\bigg)} \\ \\ [/tex]

[tex]\sf \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:(35 + 3.33) =.38.33 \\ \\ [/tex]

[tex]\:\:\sf {Hence,}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\ \large{\underline{\mathcal{\gray{ mode\:=\:38.33}}}} \\ \\ [/tex]

[tex]{\large{\frak{\pmb{\underline{Additional\: information }}}}}[/tex]

MODE

MODAL CLASS

[tex]{\bf{\underline{Formula\:for\: calculating\:mode:}}} \\ [/tex]

[tex]{\underline{\boxed{\sf {Mode,\:M_{o} =\sf\red{x_k + {\bigg(h \times \: \dfrac{ ( f_k - f_{k-1})}{ (2f_k - f_{k - 1} - f_{k +1})}\bigg)}}}}}} \\ \\ [/tex]

Where,

[tex]\sf \small\pink{ \bigstar} \: x_{k}= lower\:limit\:of\:the\:modal\:class\:interval.[/tex]

[tex] \small \blue{ \bigstar}[/tex][tex]\sf \: f_{k}=frequency\:of\:the\:modal\:class[/tex]

[tex]\sf \small\orange{ \bigstar}\: f_{k-1}=frequency\:of\:the\:class\: preceding\:the\;modal\:class[/tex]

[tex]\sf \small\green{ \bigstar}\: f_{k+1}=frequency\:of\:the\:class\: succeeding\:the\;modal\:class[/tex]

[tex] \small \purple{ \bigstar}[/tex][tex]\sf \: h= width \:of\:the\:class\:interval[/tex]

Answer:

102cm^3

Step-by-step explanation:

v=l×w×h

10x6x7=420 cm^3

the volume of water+stone=

10×6×(7+1.7)

522cm^3

522-420= 102cm^3

The solution is: the volume of the stone is : 102cm^3.

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

Here, we have,

Given that,

A right rectangular container is 6 cm wide and 10 cm long and contains water to a depth of 7cm. A stone is placed in the water and the water rises 1.7 cm.

We know that,

volume is :

v=l×w×h

so, we get,

10x6x7=420 cm^3

the volume of water+stone=

10×6×(7+1.7)

522cm^3

522-420= 102cm^3.

Hence, The solution is: the volume of the stone is : 102cm^3.

To learn more on volume click :

brainly.com/question/1578538

#SPJ2

Answer:

Option C represents an exponential function

Step-by-step explanation:

Generally, we have an exponential function in the form ;

y = a.b^x

Where in fact, a is not 0

In this case, let us have a as 1 and b as 2

So we have;

for x = -1

y = 2^-1 = 1/2

for x = 0

y = 2^0 = 1

for x = 1

y = 2^1 = 2

for x = 2

y = 2^2 = 4

So the correct choice here is the third option

Answer: The x-intercepts of the parabola are (2,0) and (4,0).

Step-by-step explanation:

Answer:

2%

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

3×5-1-(2^2+6÷2)

3×5-1-(4+6÷2)

3×5-1-(4+3)

3×5-1-7

15-1-7

14-7

7

Hello, I Am BrotherEye

Answer: Here is an Example On How To Solve Your Problem.

Step-by-step explanation:

Explanation:

29

,

33

,

36

,

37

,

39

,

40

,

41

The minimum is the lowest number in the data set.

Since it is listed from smallest to largest, we know that the minimum is

29

.

The median is the middle number. Cancel out

3

numbers from each side and we are left with the median:

29

,

33

,

36

,

37

,

39

,

40

,

41

Therefore, the median is

37

.

The first quartile (Q1) is the median of the lower half of data which lies at 25% of the data.

Let's look at the lower half of numbers:

29

,

33

,

36

The number in the middle is

33

, so that is the first quartile.

The third quartile (Q3) is the median of the upper half of data which lies at 75% of the data.

Let's look at the upper half of numbers:

39

,

40

,

41

The number in the middle is

40

, so that is the third quartile.

The maximum is the highest number in the data set; it is

41

.

So here's the five-number summary:

Minimum: 29

First quartile: 33

Median: 37

Third quartile: 40

Maximum: 41

Answer:

the height of the pyramid is 8 ft

Step-by-step explanation:

Considering the base of the pyramid to be square whose area is 144 sq ft

This means the side of the base would be √144 = 12 ft.

Now, if you will imagine a pyramid we can easily observe that

Height(H) , slant height( L=10 ft) and half of the side length( 6ft) make a right angle triangle. We can easily calculate height from Pythagoras theorem as

10^2 = H^2 +6^2

⇒ H^2 = 10^2-6^2 = 100-36 = 64

⇒ H = 8 ft

Therefore, the height of the pyramid is 8 ft

Answer:

24

Step-by-step explanation:

34 messages per 12 minutes

68 is just 34 mulitplied by 2.

it would take you twice as long because there are twice as many messages.

12 minuted multipled by 2 is 24.

It would take you 24 minutes to send 34 messages.

Answer:

24 minutes

Step-by-step explanation:

34/12

68/x

34*2=68

12*2=24

Answer:

n = -14

Step-by-step explanation:

when multiplying bases, add their exponents

Answer:

it could either be 10.781 or 65.6, if not either of em then iam truly very sorry

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Subtract the 1023 reading from the 1053 one:  

1053

-1023

---------

     30

Her electric consumption was 30.

Answer:

3

Step-by-step explanation:

4y+3x

4(-3)+3(5) Plug the numbers into the equation.

-12+15

3

Hope this helps and have an amazing day! ❤

Answer:

118, 62

Step-by-step explanation:

We can set a system of equations where x and y are the two angles and x is the larger one

x+y=180

x-y=56

If we subtract the second equation from the first, we get 2y=124, simplifying that, we get y=62. Plugging it into either equation, we get x=118. We can check that 118 is 56 larger than 62, which it is. Thus, x=118, y=62.

it's divergent, you can actually simplify this series by combining terms in pairs

Answer:

B

Step-by-step explanation:

practice on edg 2021

Answer:

6.23 E9

Step-by-step explanation:

1 Billion = 1 E9

6.23 billion = 6.23 E9

Leave a thanks and mark brainliest if this helped.

Leave a thanks and mark brainliest if this helped.

Answer:

Portion B is 16.5 ounces.

Portion C is 33 ounces.

Step-by-step explanation:

Portion B.

8.25 * 2 = 16.5

Portion C.

16.5 * 2 = 33

Hope this helps! :)

Answer: [tex]6351.25\ ft[/tex]

Step-by-step explanation:

Given

Angle of elevation [tex]x=12^{\circ}[/tex]

Height of tower [tex]h=1350\ ft[/tex]

Suppose tourist is d feet away from the tower

from the figure, we can write

[tex]\Rightarrow \tan 12^{\circ}=\dfrac{1350}{d}\\\\\Rightarrow d=\dfrac{1350}{\tan 12^{\circ}}=6351.25\ ft[/tex]

Thus, the distance of tourist from the tower is [tex]6350.25\ ft[/tex]

Answer:

Yes; what's the whole data set ?

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

sqrt(39*13*13)

= sqrt(1521)

= 39

Answer:

thank you for this inspiration

Step-by-step explanation:

Answer:

n^2 + 12 = 61

-12             -12

  n^2 = 49

Step-by-step explanation:

7 is your answer

7 x 7 = 49 + 12 = 61

Step-by-step explanation:

4x+4=6x-3

4=2x-3

7=2x

x=3,5

3x+2=17x-4

2=14x-4

6=14x

x=3/7

6m+1=-3m+11

9m+1=11

9m= 10

m=10/9

Answer:

parallel lines that never intersect.

Step-by-step explanation:

When dealing with two linear equations that have no solution, it means that they usually have two variables and are part of a system of equations. Such an example would be the following two equations

2x - y = 2

4x - 2y = 8

These two equations would be part of the same system and they have no solution because there is no pair of values that will give a valid solution to both for the variables x and y. In a graph these equations would appear as parallel lines that never intersect. This is why no solution is found, because there is no intersection.