Find two rational numbers between the root of 2 and root 3​

(a) From the histogram, you can see that there are 2 students with scores between 50 and 60; 3 between 60 and 70; 7 between 70 and 80; 9 between 80 and 90; and 1 between 90 and 100. So there are a total of 2 + 3 + 7 + 9 + 1 = 22 students.

(b) This is entirely up to whoever constructed the histogram to begin with... It's ambiguous as to which of the groups contains students with a score of exactly 60 - are they placed in the 50-60 group, or in the 60-70 group?

On the other hand, if a student gets a score of 100, then they would certainly be put in the 90-100 group. So for the sake of consistency, you should probably assume that the groups are assigned as follows:

50 ≤ score ≤ 60   ==>   50-60

60 < score ≤ 70   ==>   60-70

70 < score ≤ 80   ==>   70-80

80 < score ≤ 90   ==>   80-90

90 < score ≤ 100   ==>   90-100

Then a student who scored a 60 should be added to the 50-60 category.

Answer:

13

Step-by-step explanation:

The midpoint is 1/2 way between points A and B

(A+B)/2 = (0+26)/2 = 26/2 = 13

but there have given the formula of g(x) and f(x) ,put it

Answer:

y = -5x - 5.

Step-by-step explanation:

10x + 2y = -10        Add -10x to both sides:-

2y = -10x - 10         Divide through by 2:-

y = -5x - 5.

Answer:

D

Step-by-step explanation:

We are given the two functions:

[tex]f(x) = -x^2 \text{ and } g(x) = -(x+4)^2[/tex]

And we want to find:

[tex](f - g)(x)[/tex]

Recall that this is equivalent to:

[tex]= f(x) - g(x)[/tex]

Substitute:

[tex]\displaystyle = (-x^2) - (-(x + 4)^2)[/tex]

Simplify:

[tex]= -x^2 + (x+4)^2[/tex]

Perfect square trinomial:

[tex]= -x^2 + (x^2 + 8x + 16)[/tex]

Combine like terms. Therefore:

[tex]= 8x + 16[/tex]

In conclusion:

[tex](f - g)(x) = 8x + 16[/tex]

Our answer is D.

Answer:

x = 28

Step-by-step explanation:

Equation:-

1/2(x) = 14

Multiplying by 2 on both sides,

=> x = 28

Answer:

4 miles per hour

Step-by-step explanation:

Answer:

90°

Step-by-step explanation:

diagonals of a kite intersect each other at 90°

:)

ANSWER :

third option 90 degrees

Step-by-step explanation:

the opossite adjasent angle is 1 that is 90 so angle 3 is opposite adjacent angle of angle 1

*The opposite adjacent angles will always be same

Answer:

Step-by-step explanation:

f: s*2s = 2s^2

o: s*7 = 7s

i: -5*2s = -10s

L: -5*7 = - 35

Combine

2s^2 - 3s - 35

Answer:

.7

Step-by-step explanation:

On a number line the further you go to the right the higher the number. Thus .7 is larger than .5.

HOPE THIS HELPED

Answer:

.5

Step-by-step explanation:

the bigger the number the smaller the number

the answer is 5

Answer: 9.4 ounces.

Step-by-step explanation:

There are 16 ounces in a pound. We are given the going rate of $8/pound which we can convert into $8/16 ounces. This can be simplified by dividing both sides by 8, which gives us the rate of $1/2 ounces. We now apply this ratio to the amount of money we have, 4 dollars and 70 cents. The 4 dollars translates into 8 ounces via the ratio. For the 70 cents, we can again change the ratio to 10 cents / 0.2 ounces (divide both sides by 10 - $1 is equal to 100 cents). This would mean that we could buy 0.2*7 ounces with the 70 cents, which equals 1.4 ounces. We add the 8 ounces from the 4 dollars and the 1.4 from the 70 cents to get 9.4 ounces.

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Answer:

  13

Step-by-step explanation:

If we assume that points P, Q, R, S are in that order on a arc centered at O, then we have ...

  ∠POQ +∠QOS = ∠POR +∠ROS

  ∠ROS = ∠POQ +∠QOS -∠POR

  ∠ROS = 28 +46 -61 = 13

We have to find integration of f(x) having upper limit 1.05 and lower limit 1

[tex]\\ \rm\longmapsto \displaystyle{\int^{1.05}_1}x^3dx[/tex]

[tex]\\ \rm\longmapsto \left[\dfrac{3x^{3+1}}{3+1}\right]^{1.05}_1[/tex]

[tex]\\ \rm\longmapsto \left[\dfrac{3x^4}{4}\right]^{1.05}_1[/tex]

[tex]\\ \rm\longmapsto \dfrac{3(1.05)^4-3(1)^4}{4}[/tex]

[tex]\\ \rm\longmapsto \dfrac{3(1.2)-3(1)}{4}[/tex]

[tex]\\ \rm\longmapsto \dfrac{3.6-3}{4}[/tex]

[tex]\\ \rm\longmapsto \dfrac{0.6}{4}[/tex]

[tex]\\ \rm\longmapsto 2.4[/tex]

Answer:

113385908

Step-by-step explanation:

use:

Brackets

Indices

Division

Multiplication

Addition

Subtraction

[(66+11)2-6]×766 121

First Brackets

66+11=77

[(77)2-6]×766121

Multiplication:

77×2=154

[154-6]×766121

Subtraction:

154-6=148

Multiplication:

148×766121= 113385908

Answer:

All are rational.

Step-by-step explanation:

1)

=1/3/3/5

=1/3×5/3

=5/9

5/9 is non-terminating and recurring number so it is rational.

2)

4/3√9/5

=4/3*3/5

=4/5

4/5 is a terminating number it is rational.

3)

2*√16/√4

=2*4/2

=4

4 is a natural/whole number it is also rational.

Note:if you need to ask any questions please let me know.

Answer:

55 degrees

Step-by-step explanation:

Hi there!

The sum of the interior angles of a triangle is always 180 degrees.

We can solve for the interior angles at the bottom by subtracting both 135 and 100 from 180 (because straight lines have a measure of 180 degrees too):

180-135 = 45 degrees

180-100 = 80 degrees

Now, to solve for the final angle at the top, subtract 80 and 45 degrees from 180:

180-80-45 = 55 degrees

This angle at the top measuring 55 degrees is the opposite angle of x. Opposite angles are always congruent, so therefore, x measures 55 degrees.

I hope this helps!

Answer:

A 8.5 pints

Step-by-step explanation:

Answer:

No. Only positive whole integers are considered natural numbers

Interest for 1 year=12.3℅

Interest for 12months=12.3℅

[tex]\\ \qquad\quad\sf\longmapsto Interest\:for\:one\:Month[/tex]

[tex]\\ \qquad\quad\sf\longmapsto \dfrac{12.3}{12}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto 1.025\℅[/tex]

0.008

1/5 x 1/5 x 1/5

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Answer:

  20 years

Step-by-step explanation:

The interest earned is found using the formula ...

  I = Prt

where principal P is invested at rate r for t years. Solving for t, we find ...

  t = I/(Pr) = $900/($1500×0.03) = 900/45

  t = 20

You must leave the money in the account for 20 years to earn $900 in interest.

Answer:

8

Step-by-step explanation:

4/3 cup for 3 dozen.

how many cups for 18 dozen ?

what factor do I need to use to turn 3 into 18 ?

3×x = 18

x = 18/3 = 6

so, I need 6 units of flour (1 unit is 4/3 cup) to make 6 units of cookies (1 unit is 3 dozen).

therefore, we need

4/3 × 6 = 6×4/3 = 2×4 = 8 cups of flour.

Answer:

7.   0.37

Decimal value is  - HUNDREDTHS

Fraction value is - [tex]\frac{37}{100}[/tex]

    1.735

Decimal value is  -  TENTHS

Fraction value is - [tex]\frac{1735}{1000}[/tex]

8.   6.075

Decimal value is  - HUNDREDTHS

Fraction value is - [tex]\frac{6075}{1000}[/tex]

      27.05

Decimal value is  - ONES

Fraction value is -  [tex]\frac{2705}{100}[/tex]

9.    0.127

Decimal value is  - THOUSANDTHS

Fraction value is - [tex]\frac{127}{1000}[/tex]

    3.007

Decimal value is  - THOUSANDTHS

Fraction value is - [tex]\frac{3007}{1000}[/tex]

Answer:

The points that were given are not on the graph of y=3x+2.

Step-by-step explanation:

The slope is 3 and the y-intercept is 2 so on the graph you rise three times from the point (0,0) to (0,3) then you run twice to the right so your first plot would be (2,3). After following the same process the next three plots would be (4,6),(6,9),&(8,12). So those plots that were given are incorrect. Remember y=mx+b

Mx is your slope to rise with and b is your y-intercept to run with.

Rise/run. I just put the important stuff in bold.

Hope this helped you out! Ask any question if you don't understand below and I'll get back to you.

9514 1404 393

Answer:

  41 km

Step-by-step explanation:

The first car is 32.5 km north after 1/2 hour. The second car is 25 km east after 1/2 hour. The Pythagorean theorem tells you the straight-line distance between them:

  d = √(32.5² +25²) = √1681.25 ≈ 41.00

The cars are about 41 km apart after 1/2 hour.