SUB - Mathematics
Grade - 9th

Q.1) Visualise 3.765 on the number line , using Succescive Magnification.


Note:-
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​

Answer:

a = 6 , b = 5

Step-by-step explanation:

using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] = [tex]\sqrt{ab}[/tex]

then

[tex]\sqrt{180}[/tex]

= [tex]\sqrt{36(5)}[/tex]

= [tex]\sqrt{36}[/tex] × [tex]\sqrt{5}[/tex]

= 6[tex]\sqrt{5}[/tex]

with a = 6 and b = 5

Answer:

Third option

Step-by-step explanation:

Since our leading coeffeicent has a leading even degree, and a positive number,

The end behavior will as

as x approaches oo, and -oo, f(x) approaches oo.

Answer:

[tex]5=5^{3x}[/tex]

Step-by-step explanation:

[tex]log_5(5)=3x\\\\5=5^{3x}[/tex]

Answer:

y-9=8

Step-by-step explanation:

The correct probability distribution of the random variable tracking "yellow (Y)" color is given by: Option A:

Yellow:x    Probability

0               9/16 = 0.5625

1                6/16 = 0.375

2                1/16 = 0.0625

Probability distribution of a random variable is the collection of value and its probability pair for values of that considered random variable.

It might be a function, a table etc.

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

For this case, the experiment consists of a spinner with four color sections, and is spun twice.

The sample space is:

S = {RB, RG, RY, RR, BR, BG, BY, BB, GR, GB, GY, GG, YR, YB, YG, YY}

Let we take:

X = the number of times out of two spins the color yellow occurs in a pair of spin of the considered spinner.

Then, as there are only two spin going to happen, so the values X can take are:

Let we take:

Then, as there are four colors equally likely, so we get:
P(A) = 1/4 (yellow color can occur in 1 way in one spin, and total number of colors that can occur = 4).

Similarly, we get P(B) = 1/4

Also, as first and second spins are independent of each other's result, so both A and B are independent events.

Getting the probabilities for each value of X:

[tex]P(X = 0) = P(A' \cap B') = P(A')P(B') = (1-P(A))(1-P(B)) \\P(X = 0) = \dfrac{3}{4} \times \dfrac{3}{4}\\\\P(X = 0) = \dfrac{9}{16}[/tex]

(where A' and B' are complement of A and B, and as (A and B) are independent, so as (A' and B') and (A' and B) and (A and B') )

So either first spin had yellow color, or second, so we get:

[tex]P(X = 1) = P((A' \cap B) \cup (A \cap B'))\\ P(X=1) = P(A' \cap B) + P(A \cap B') - P((A' \cap B) \cap (A \cap B'))\\P(X=1) = P(A')P(B) + P(A)P(B') -0\\P(X=1) = \dfrac{3}{4} \times \dfrac{1}{4} + \dfrac{1}{4} \times \dfrac{3}{4} - 0\\\\P(X = 1) = \dfrac{6}{16}[/tex]

Both event A and B occured this time, so we get:

[tex]P(X = 2) = P(A \cap B) = P(A)P(B) \\P(X = 0) = \dfrac{1}{4} \times \dfrac{1}{4}\\\\P(X = 0) = \dfrac{1}{16}[/tex]

Thus, the probability distribution of X is:

X=x                P(X = x)

0               9/16 = 0.5625

1                6/16 = 0.375

2                1/16 = 0.0625

Learn more about probability here:

brainly.com/question/1210781

Answer:

58.50

Step-by-step explanation:

C.$58.50

|| ▼ Answer ▼ ||

|| ✪ Solution ✪ ||

Step 1:

In this question, we are given the following:

A teenager puts $50 into an investment account in January.

If by December the balance in the account increases by 17%,

what is the amount of money in the account in December?

Step 2:

In this case, we are going to use:

[tex]Amount=Principal~(~1+\frac{Rate}{100})^{n}[/tex]

Here, Principal = $ [tex]50[/tex]

Rate = 17%

[tex]^{n}(Time)=~From~January~to~December=12=months=1~year[/tex]

Then, we have that:

[tex]Amount=50~(~1+\frac{17}{100})^{1}[/tex]

[tex]Amount=50~(~1+0.17~)^{1}[/tex]

[tex]Amount=50~(~1.17)[/tex]

[tex]Amount=[/tex] $ 58.50 (Option B)

CONCLUSION:

The amount of money in the account in December = $ 58. 50 ( OPTION B )

Hope this helps!

If you have any queries please ask.

Answer:

a₅ = 1701

Step-by-step explanation:

[tex]a_1=7\\\\a_n=-4a_{n-1} + n\\\\a_2 = -4*a_1 + 2\\\\[/tex]

    = -4*7 + 2

    = -28 + 2

   = -26

a₃ = -4a₂ + 3

    = -4*(-26) + 3

    = 104 + 3

    = 107

a₄ = -4a₃ + 4

    = -4*107 + 4

   = -428 + 4

  = -424

a₅ = -4a₄ + 5

    = -4*(-424) + 5

    = 1696 + 5

   = 1701

Answer:

0, -6, -12, -18

Step-by-step explanation:

start at 0, then subtract by 6 to get -6. then subtract 6 again to get -12. then subtract 6 again to get -18.

please give brainliest!!!!

Answer: B. 24

Step-by-step explanation:

8 / 1/3 =

8 * 3 +

24

Answer:

24

Step-by-step explanation:

8 divided by 1/3=24

1/3x4=1 1/3

1/3x12=4

1/3x24=8

1/3x20=7 1/3

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's see ~

[tex]\qquad \sf  \dashrightarrow \:j + j + 2k[/tex]

[tex]\qquad \sf  \dashrightarrow \:2j + 2k[/tex]

[tex]\qquad \sf  \dashrightarrow \:2(j + k)[/tex]

・．━━━━━━━━━━†━━━━━━━━━━━━．・

Answer:

80 oz

Step-by-step explanation:

20 portions times 4 oz is 80 oz

The scatterplot is an illustration of a linear regression.

The equation that best models the scatter plot is y = 4x+ 35

The equation of a linear regression is represented as:

y = mx + b

Where:

m represents the slope

b represents the y-intercept

From the graph, we have the following points on the line of best fit (see attachment)

(x,y) = (10,75) and (20,105)

The equation is then calculated as:

[tex]y = (\frac{y_2 - y_1}{x_2 - x_1})(x -x_1) + y_1[/tex]

This gives

[tex]y = (\frac{105 - 75}{20- 10})(x -10) + 75[/tex]

Evaluate

[tex]y = 4(x -10) + 75[/tex]

Open the bracket

[tex]y = 4x -40 + 75[/tex]

Simplify

[tex]y = 4x+ 35[/tex]

Hence, the equation that best models the scatter plot is y = 4x+ 35

Read more about scatter plots at:

https://brainly.com/question/6592115

Answer:

Step-by-step explanation:

(-2, 8)

(-1, 6)

(0, 4)

(1, 2)

(2,0)

to "show work" just plug in each x value into that equation. you will never learn if all you do is copy down answers. i have given you all of the correct answers, and all you need to do is plug in the values for each x value into the equation, multiply then add. good luck man.

Answer:

X²-8x+308

Step-by-step explanation:

two negative integers -x and -x= +x²

8units apart=-8x

all equals 308

X²-8x=308

bring everything to the LHS

X²-8x-308=0

Answer:

c. infinotely msny solutions

Answer:

Step-by-step explanation:

y = 4x + 1

2y - 2 = 8x

2(4x + 1) - 2 = 8x

2x + 2 - 2 = 8x

2x + 0 = 8x

6x = 0

x = 0

y = 0 + 1

y = 1

(0, 1)

answer is b. one solution

Answer:

A. y = 2x + 2

Step-by-step explanation:

For this function....

f(0) = 2

f(1) = 4

f(2) = 6

f(3) = 8

I hope this helps!

f=72°

d=153°

b=27°

a=64°

be careful i started with f

Answer:

a=64

b=27

d=153

f=72

Step-by-step explanation:

a+72+134+90=360(sum of the angles around a point is 360)

a+296=360

a=360-296

a=64

b=27(vertically opposite angles are equal in magnitude)

27+b+d+e=360(sum of the angles around a point is 360)

d=e (vertically opposite angles are equal in magnitude)

Therefore,

27+27+2d=360

54+2d=360

2d=360-54

2d= 306

d= 306÷2

d= 153

108+f=180(sum of the adjacent angles on a straight line is 180)

f=180-108

f=72

Answer:

C

Step-by-step explanation:

0.081+6.18 =6.261

0.21+4.93 =5.14  

6.261 - 5.14 = 0.13

Answer:

a - 8

Step-by-step explanation:

1/2 a - 4

if we scale both numbers by the same factor, we will be creating an equivalent expression.

So, let's say we multiply the equation by 2.

1/2 a (2) = 1 a = a

-4 (2) = -8

One equivalent expression would be

a - 8

[If you want to test this out, try plugging in any number for a. For example, if you plug in 10...

1/2 of 10 = 5, 5 - 4 = 1

1 times 10 = 10, 10 - 8 = 2

These answers are the same scaled as the original equation, the answer for the first expression is multiplied by 2 to get the second expression]

Answer:

$0.22/foot

Step-by-step explanation:

Setting up the equation:

⇒ 6 yards of aluminum wire costs $3.96

⇒ 6 yards = $3.96

Simplifying the equation in cost/foot:

⇒ 6 yards = 6(3) feet = 18 feet = $3.96                                  (1 yard = 3 feet)

⇒ 18 feet = $3.96

⇒ 1 foot = $3.96/18 = $0.22

Answer:

$0.22

Step-by-step explanation:

6 yards costs $3.96

Therefore, to find the cost of 1 yard, divide the cost of 6 yards by 6:

⇒ 1 yard = $3.96 ÷ 6

              = $0.66

1 yard = 3 feet

Therefore, to find the cost of 1 foot, divide the cost of 1 yards by 3:

⇒ Price per foot = $0.66 ÷ 3

                           = $0.22

Answer:

Linear inches

Step-by-step explanation:

or really, any linear dimension – simply refer to the sum total of your bag's length, width and depth.

Answer:

These are based on the main compartment inside the suitcase and are measured in liters with an average capacity of 20 liters, whilst most large cases have an average capacity of 100 liters.

Step-by-step explanation:Brainliest

the assumption being that "y" is encapsulating a function in "x" terms.

[tex]y+2=\cfrac{x^2}{2}-2sin(y)\implies \stackrel{\textit{taking the derivative to both sides}}{\cfrac{dy}{dx}+0=\cfrac{1}{2}(2x)\underset{chain~rule}{-2cos(y)\cdot \cfrac{dy}{dx}}} \\\\\\ \cfrac{dy}{dx}=x-2cos(y)\cfrac{dy}{dx}\implies \cfrac{dy}{dx}+2cos(y)\cfrac{dy}{dx}=x \\\\\\ \cfrac{dy}{dx}\left[ 1+2cos(y) \right]=x\implies \cfrac{dy}{dx}=\cfrac{x}{1+2cos(y)}[/tex]

Answer:

The answer is G.

Step-by-step explanation:

Trust me.

Answer:

J is the answer

Step-by-step explanation:

I had given the explanation but brainly deleted it for having a link.

Just use this:

"What is a box and whisker plot?

A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum.

In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median. The whiskers go from each quartile to the minimum or maximum.

Example: Finding the five-number summary

A sample of 101010 boxes of raisins has these weights (in grams):

252525, 282828, 292929, 292929, 303030, 343434, 353535, 353535, 373737, 383838

Make a box plot of the data.

Step 1: Order the data from smallest to largest.

Our data is already in order.

252525, 282828, 292929, 292929, 303030, 343434, 353535, 353535, 373737, 383838

Step 2: Find the median.

The median is the mean of the middle two numbers:

252525, 282828, 292929, 292929, \large{30}3030, \large{34}3434, 353535, 353535, 373737, 383838

\dfrac{30+34}{2}=32

2

30+34

​

=32start fraction, 30, plus, 34, divided by, 2, end fraction, equals, 32

The median is 323232.

Step 3: Find the quartiles.

The first quartile is the median of the data points to the left of the median.

252525, 282828, \large{29}2929, 292929, 303030

Q_1=29Q

1

​

=29Q, start subscript, 1, end subscript, equals, 29

The third quartile is the median of the data points to the right of the median.

343434, 353535, \large{35}3535, 373737, 383838

Q_3=35Q

3

​

=35Q, start subscript, 3, end subscript, equals, 35

Step 4: Complete the five-number summary by finding the min and the max.

The min is the smallest data point, which is 252525.

The max is the largest data point, which is 383838.

The five-number summary is 252525, 292929, 323232, 353535, 383838.

Example (continued): Making a box plot

Let's make a box plot for the same dataset from above.

Step 1: Scale and label an axis that fits the five-number summary.

Step 2: Draw a box from Q_1Q

1

​

Q, start subscript, 1, end subscript to Q_3Q

3

​

Q, start subscript, 3, end subscript with a vertical line through the median.

Recall that Q_1=29Q

1

​

=29Q, start subscript, 1, end subscript, equals, 29, the median is 323232, and Q_3=35.Q

3

​

=35.Q, start subscript, 3, end subscript, equals, 35, point

Step 3: Draw a whisker from Q_1Q

1

​

Q, start subscript, 1, end subscript to the min and from Q_3Q

3

​

Q, start subscript, 3, end subscript to the max.

Recall that the min is 252525 and the max is 383838.

We don't need the labels on the final product:

Want to learn more about making box and whisker plots? Check out this video.

Want to practice making box plots? Check out this exercise."

Answer:

102 dollars

Step-by-step explanation:

Answer:

3. Not linear

4. Linear

Step-by-step explanation:

3. The equation has an exponent on the x. Since x is squared the graph is a parabola. The graph is a curve, not a line, so it is not linear.

4. Both the x and y have no exponent (which is an exponent of 1) The graph will be a line. This is a linear function.

Answer:

26.8

Step-by-step explanation:

Because 33.5 was the average of how many students were in a classroom (if there were 4 classrooms), then 33.5 is can somewhat be the average of how many students were in one classroom; 1/4 of the classrooms can hold an average of 33.5.

Total students that were divided into 4 classrooms :

33.5 × 4 = 134

So if there is 134 students that will be grouped into 5 different classrooms, divide 134 by 5 to find the average amount of students that will be grouped.

134 ÷ 5 = 26.8

So, the average amount of students that will be grouped if they were divided into 5 classrooms would be 26.8 .

Hope this helped !

Answer:

see explanation

Step-by-step explanation:

look at the photo