find how many natural numbers are there between 80 and 120​

Answer:

8

Step-by-step explanation:

Applying the PEDMAS rule, the expression 80÷4−2(2+1)² would be simplified as: 80÷4−2(2+1)² = 2.

The PEDMAS rule guides the order of operation when solving a math problem with several operations.

P - parenthesis, E - exponent, D - division, M - multiplication, A - addition, S - subtraction.

To simplify 80÷4−2(2+1)², apply PEDMAS rule:

Solve parenthesis

80÷4−2(3)²

Solve exponent

80÷4−2(9)

Divide

20 −2(9)

Multiply

20 − 18

Subtract

= 2

Therefore, 80÷4−2(2+1)² = 2

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Answer:

C. The focus is at [tex](-2,-2 \frac{1}{2})[/tex] and the directrix is at [tex]y = -3\frac{1}2.[/tex]

Step-by-step explanation:

First of all, let us learn about the formula to find Focus and Directrix from the standard equation of a parabola.

Standard form of a parabola is given as:

[tex](x - h)^2 = 4p (y - k)[/tex]

where the focus is [tex](h, k + p)[/tex] and

the directrix is [tex]y = k - p[/tex]

Now, we are given the equation of parabola as:

[tex]y= \dfrac{1}2 (x+2)^2 - 3[/tex]

Let us try to convert it to standard form:

[tex]\Rightarrow y+3= \dfrac{1}2 (x+2)^2 \\\Rightarrow 2(y+3)= (x+2)^2 \\\Rightarrow (x+2)^2 = 2(y+3)\\\Rightarrow (x+2)^2 = 4\times \frac{1}{2}(y+3)[/tex]

Comparing the above with standard equation of parabola [tex](x - h)^2 = 4p (y - k)[/tex]:

[tex]h = -2, p = \frac{1}{2}, k = -3[/tex]

So, Focus is at [tex](h, k + p)[/tex]

[tex]k + p = -3+\frac{1}{2} = -2\frac{1}{2}[/tex]

Focus is at [tex](-2, -1\frac{1}2)[/tex].

Equation of directrix:

[tex]y = k - p=-3-\frac{1}{2}\\\Rightarrow y = -3\frac{1}{2}[/tex]

Also, please refer to the attached image for the diagram of given parabola, focus and directrix.

So, the answer is:

C. The focus is at [tex](-2,-2 \frac{1}{2})[/tex] and the directrix is at [tex]y = -3\frac{1}2.[/tex]

Answer:

Incorrect

Step-by-step explanation:

Given

[tex]x < -1[/tex]

[tex]x^5 - 2 > x[/tex]

Required

Determine if the conjecture is true

To determine if it's true or not, we have to substitute the values of x in [tex]x^5 - 2 > x[/tex]

In the first inequality, we have that [tex]x < -1[/tex]

This means that the values of x are: -2. -3, -4......

Substitute -2 for x in [tex]x^5 - 2 > x[/tex]

[tex](-2)^5 - 2 > -2[/tex]

[tex]-32 - 2 > -2[/tex]

[tex]-34 > -2[/tex]

Her conjecture is incorrect because the inequality is not true for x = -2

Answer:

w = pt

Step-by-step explanation:

[tex]p=\frac{w}{t}\\\\p*t=\frac{w}{t}*t\\\\pt=w\\\\\boxed{w=pt;t\neq 0}[/tex]

Hope this helps.

Answer:

1/8 ft^3

Step-by-step explanation:

The cube has equal sides. So u square root the base area and u get 1/2 ft. The length, width and height are all 1/2. So u cube the 1/2. Your final answer would be 1/8 ft^3.

V = 1/8 ft³

Area of the base = 1/4 ft² = l²

l² = 1/(2)² ft²

l = 1/2 ft

V = l³

= (1/2 ft)³

= 1/2³ ft³

= 1/8 ft³

Answer:

[tex]=\frac{7}{2}x+30[/tex]

Step-by-step explanation:

So we have the equation:

[tex](\frac{9}{4}x+6)-(-\frac{5}{4}x-24})[/tex]

First, distribute the negative on the right:

[tex]=(\frac{9}{4}x+6)+(\frac{5}{4}x+24})[/tex]

Combine like terms:

[tex]=(\frac{9}{4}x+\frac{5}{4}x})+(6+24)[/tex]

Add:

[tex]=\frac{14}{4}x+30[/tex]

We can reduce our fraction by dividing both layers by 2. Thus:

[tex]=\frac{7}{2}x+30[/tex]

So this would be our answer :)

Given :

Length of parade , [tex]L = 3\ miles=3\times 5280\ miles = 15840\ miles[/tex] .

Breadth of parade , [tex]B=2\times 15=30\ ft[/tex] .

5 people can fit into a [tex]25\ ft^2[/tex] area.

1 mile = 5280 ft .

To Find :

The size of the crowd.

Solution :

Area of parade ,

[tex]A=15840\times 30\ ft^2\\\\A=475200\ ft^2[/tex]

Also , 5 people can fit in [tex]25\ ft^2[/tex] area .

So , number of people fit in A is :

[tex]n = \dfrac{475200\times 5}{25}\\\\n=95040[/tex]

Therefore , 95040 can fit in the parade .

Hence , this the required solution .

Answers:

Theoretical probability of 5 or 6 is 1/3

Experimental probability of 5 or 6 is 9/25

======================================================

Explanation:

For the theoretical probability, we ignore the table of values. We assume the cube will land on any of the 6 sides with equal probability.

So landing on any given side has probability 1/6. Landing on 5 or 6 has probability 2*(1/6) = 2/6 = 1/3.

---------

For the experimental probability, we use the table. We see that '5' shows up twice, and '6' shows up seven times. In total, those values show up 2+7 = 9 times out of 25 total.

So that's how I got 9/25.

Answer: 2

Step-by-step explanation:

this is the answer knewton alta said

The Cardinal number of the set of all solutions to x²=100 is 2.

A number system is defined as a system of writing to express numbers.

Cardinal numbers are natural numbers or positive integers. The smallest cardinal number is 1.

We have to find the Cardinal number of the set of all solutions to  x²=100

To find the solution of the equation we have to take square root on both the sides' x=10, -10

The set of solutions will be {-10, 10}

It has two terms. Hence cardinal number is 2.

Hence, the Cardinal number of the set of all solutions to x²=100 is 2.

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Answer:

Step-by-step explanation:

the range of the given function is:

{0, -3, -9, 5, 7}= y

answer is B

Answer:

Step-by-step explanation:

10% of $100 per month is $10 per month.

1. By saving $10 per month on insurance cost, Dan's savings after 4.5 months will be equal to the $45 cost of his course. (If billing is monthly, he won't experience any net gain from the course until the 5th insurance payment--after 5 months.)

__

2. In 7 years, the savings on insurance costs will total ...

  (7 years)×(12 months/year)×($10 /month) = $840

His cost for the course is $45, so his net saving is ...

  $840 -45 = $795 . . . net saving by age 25

Answer:

86

Step-by-step explanation:

33+61=94

180-94=86

Answer:

90 cups

Step-by-step explanation:

First, let's calculate how much cups of sugar we need for 1 batch of chocolate chip.

45 / 4 = 11.25

So, now we know that we need 11.25 cups of sugar to make 1 batch of chocolate chip.

Therefore, we know we need 90 cups of sugar for 8 batches because

11.25 * 8 = 90

Hope this helps ^^

Answer: 4b^6

Remember if theres a bracket you multiply the power instead of adding

For example if it was 2b^3 x 2b^2 then the answer would be 4b^5 instead according to indices law, read up on it if you havent yet itll help a bunch! :)

Answer:

50 if you're asking for dividing

Step-by-step explanation:

if you're dividing then it's 50 hopefully this is the answer your asking

Answer:

10/27

Step-by-step explanation:

First of all, to simplify a fraction, you have to find a common factor for each of the numbers. First, we know that 30 and 81 can be divided by 3, which will result in the number 10 and 27. Since 10/27 don't have any common factors, you cannot simplify it further.

Hey there! I'm happy to help!

Let's call our number n.

The word sum means to add.

Therefore....

n+5

Have a wonderful day! :D

Answer:

2.5

Step-by-step explanation:

x=8 x=4

y=5 y=2.5

is ratio problem

If y varies directly with x and y = 5 when x= 8 . then the value of y when x = 4 is 2.5

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

p = kq

where k is some constant number called constant of proportionality.

If y varies directly with x and y = 5 when x= 8 . then we need to find y when x = 4

Therefore, y = kx

k = y/x

k = 5/8

Then y = kx

y = (5/8)4

y = 5/2

y = 2.5

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Answer:

Coplanar points

Step-by-step explanation:

Coplanar points are three or more points that lie in the same plane.

Answer:

Step-by-step explanation:

1 - 4 < 3x < 13 - 4

-3 < 3x < 9

-1 < x < 3

Answer:

Hey there!

8(x-2)+3=-61

8(x-2)=-64

x-2=-8

x=-6

Let  me know if this helps :)

Answer:

X=-6

Step-by-step explanation:

8(x - 2) + 3 = -61

8X-16+3=-61

8X-13=-61

8X=-61+13

8X=48

X=[tex]\frac{48}{8}[/tex]

X=-6

HAVE A NICE DAY £$

Answer:

its also again 40

Step-by-step explanation:

its L angle

Answer:

40°

Step-by-step explanation:

∠1 and ∠2 are corresponding angles. Corresponding angles have the same measurement. This means that:

m∠1 = m∠2

Therefore, the measure of ∠2 would be the same as the measure of ∠1.

m∠2 = 40°

Hope this helps.

Answer:

Height after 9 weeks=19

Height after w weeks=1w+10

Step-by-step explanation:

Height after 9 weeks: 1(9)+10=19

Height after w weeks: 1w+10

Answer:

2700

Step-by-step explanation:

One hour is 300 sheets. We need to find 9 hours,

so 300*9= 2700

Answer:

84.64.

Step-by-step explanation:

(-9.2)^2

= (9.2)^2

= 84.64.

Answer:

it would be 144 miles

Step-by-step explanation:

We start by a ratio of map to mile =      2:18

if we see that the map distance is 16,   16:?

We divide 16 by 2 to get 8, so we enlarge the 2, 8 times, and we get 16

the 18, also has to be enlarged, so 18x8 = 144