How do I set up the equations for these two problems so I can find X?

Sum of all the positive integers from √14 to √80=30

Definition of a perfect square-A number system that can be stated as the square of a specific number from the same system is called a perfect square.Assume that N may be expressed as the product of x and x = x²,if x is a perfect square of a number N. Square roots can be used to understand this in another way. We compute the square root of a given number to determine if it is a perfect square or not. The supplied number is a perfect square if the square root is a whole number.However, if the square root value is not a whole number, the given number is not a perfect square.Now according to given question we have to find sum of all the positive inetegers between √14 to √80

∴Sum =30

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Answer:  The SD is 5.589

Step-by-step explanation:

Answer:

Hey Rey

Step-by-step explanation:

[tex] \mathsf{\red{m∈( - ∞, \: 8)U(20,∞)}}[/tex]

Answer:

Hey Rey ...

Step-by-step explanation:

[tex]\mathsf{\blue{m∈( - ∞, \: 8)U(20,∞)}}[/tex]

The amount that Thang would pay in interest is $420 based on the loan of $2000 and simple interest of 7%

What is simple interest?

The simple interest on the loan is determined as the amount borrowed multiplied by the interest rate of 7% and as well multiplied by the number of years it takes for the loan to be repaid

I=PRT

I=simple interest payable by Thang=unknown

P=principal=amount borrowed=$2000

R=interest rate=7%

T=number of years before the loan is repaid=3

I=$2000*7%*3

I=$420

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[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-8}-\stackrel{y1}{6}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-4)}}} \implies \cfrac{-14}{3 +4}\implies \cfrac{-14}{7}\implies -2[/tex]

Answer:

Smaller

Step-by-step explanation:

If the scale factor is a whole number, the copy will be larger. If the scale factor is a fraction, the copy will be smaller.

Answer:

90-50=40 so she answers phone calls for 50 min

Step-by-step explanation:

The equation for the given statement is y=3x.

The given equation is the number of miles y it travels in x hours.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

We need to find the number of miles travelled in 3 hours.

Now, using the formula Distance = Time × Speed

y = 3x

Therefore, the equation for the given statement is y=3x.

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Answer:

y = -x^2/10 + x/5 - 3/5

Step-by-step explanation:

The answer is D: just rearrange

Answer: 111 ft tall. Thats a big tree!

Step-by-step explanation: if its seven more than two times the height of the house, do 52 X 52 + 7 which equals 111 ft.

answer:

0.66666666666

step-by-step explanation:

2/3

2 divided by 3 = 0.66666666666

Answer:

I Disagree with Peter, the explanation is down below.

Step-by-step explanation:

I disagree because to find the least common multiple or the LCM, you need to first list the first several multiples of each number. So, because the numbers are 4 and 6, I would write:

4 - 4, 8, 12, 16, 20, 24, 28, 32

6 - 6, 12, 18, 24 30, 36, 42, 48

The next step would be to find the same multiples in the list. If there are no same multiples, then I would keep on adding multiples.

If we look at the list, the first numbers that we see that are the same are 12 and 12.

12 would be the LCM, not 24.

If the two numbers were 24 and 12, then the LCM would have been 24, but in this case, the LCM is 12. So that is why I disagree.

Hope this helped! :D

Have a wonderful day!~~

In given expressions no one is equivalent to the expression -3 [4 × -0.50]

Given,

The expression : -3 [4 × -0.50]

We have to find the expression equivalent to the above expression from the given options.

Solve the expression:

-3 [4 × -0.50] = -3 × -2 = 6

Now we can solve the expressions given in the options:

1) -12 × -1.50 = 18

Not equal to the given expression

2) -12 × 1.50 = -18

Not equal to the given expression

3) -12 × -2.50 = 30

Not equal to the given expression

4) -12 × -3.50 = 42

Not equal to the given expression

So, we can conclude that, there is no equivalent expression in the options for the expression -3 [4 × -0.50]

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The value of the expression log₂9 after using change of base theorem is 3.17.

Given that the expression be log₂9.

We are required to find the value of the expression by finding the value of log values.

Change of base formula is basically used in a situation where we have to solve the log values with different bases at one time. It says that

[tex]log_{a}b[/tex]=[tex]log_{x}b/log_{x}a[/tex].

The expression is  log₂9.

We know that [tex]log_{b}a[/tex]=log a/log b.

log₂9=log 9/log 2

Now,we have to use the values of log in the above expression.

=0.9542/0.3010

=3.17

Hence the value of the expression log₂9 after using change of base theorem is 3.17.

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The terms given in US national debt in standard form when converted to scientific notation form will be 2.86 * 10^11, 3.70 * 10^11, 9.07 * 10^11, 3.23 * 10^12, 5.67 * 10^12 and 1.35 * 10^13 respectively.

Scientific notation if the process of conversion of very large numbers which are otherwise inconvenient to read into decimal form raised to some power of 10. During this conversion, the numbers in standard form are written such that only one place value before decimal is left and written as coefficient and all other numbers are then counted and written in the form of base 10 raised to some exponent value. The coefficient value must be such that its value lies between 1 and 9 and less than 10. Thus, the following numbers can be written as follows in scientific form.

286330760848.37 = 2.86 * 10^11

370918706949.93 = 3.70 * 10^11

907701000000.00 = 9.07 * 10^11

3233313451777.25 = 3.23 * 10^12

5674178209886.86 = 5.67 * 10^12

13561623030891.79 = 1.35 * 10^13  

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Step-by-step explanation:

Greetings !

In mathematics, the additive inverse of a number a is the number that, when added to a, yields zero. This number is also known as the opposite, sign change, and negation.

For example, the additive inverse of 7 is −7, because 7 + (−7) = 0, and the additive inverse of −0.3 is 0.3, because −0.3 + 0.3 = 0. Similarly, the additive inverse of a − b is −(a − b) which can be simplified to b − a. The additive inverse of 2x − 3 is 3 − 2x, because 2x − 3 + 3 − 2x = 0.

Hope it helps!!!

Answer: 20

Step-by-step explanation:

3/4= 15/20

1/10=2/20

Answer:

The next 2 numbers would be 30 and 42

Step-by-step explanation:

If the last number in the sequence was 20, and the sequence started at 0 with a constant change, we know that since this constant change is +2 every time the input increases. If 12 + 8 was 20, the next number would be 30. If 20 + 10 is 30, then the next output will be 42, because 30 + 12 = 42.

Hope this helps!

Let us organize the information first. The game consists in picking up a numbered duck. Let us denote the number of the duck as xx. The possible prizes are

1≤ x≤ 60 consolation prize

60 ≤ x ≤ 70 stuffed duck

70≤ x ≤ banana

We have 75 possible numbers equally likely to select, and 1111 outcomes where we win the stuffed duck

60, 61, 62, 63, 64, 65, 66, 67, 68, 69 and 70

Therefore, the probability of winning a stuffed duck is

p(60 ≤ x ≤ 70) = 11/75= 0.146

The event of not winning a duck or a banana is that of winning the consolation prize, that is, picking a number 1 ≤x ≤ 60.

Those are 59 equally likely to occur outcomes. Then we have

c= 59/75= 0.786

To check whether this result is right, we can use the complementary events law. That is, the probability of not winning a duck or a banana is 11 minus the sum of the probabilities of winning a duck or a banana. Mathematically this is

p (1 ≤ x ≤ 60) = 1-(p (60≤x≤70)+p(70≤x≤75)

p (1≤ x ≤ 60) = 0.786

which is a desired result.

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Answer:

There wasn't an image put to choose which graph it would be.

Step-by-step explanation:

It is given that P = principal, R = rate of interest and T = time

Formula to find compound interest is:

A = P(1 + R/100)^T

where A = amount received after n years

P = principal amount invested

R = rate of interest

T = time for which the amount is invested

The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest.

It is thought that Italy in the 17th century is where the concept of "interest on interest" or compound interest first appeared. It will accelerate the growth of a total more quickly than simple interest, which is solely calculated on the principal sum.

Money multiplies more quickly thanks to compounding, and the more compounding periods there are, the higher the compound interest will be.

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Answer:

V = 1,005.31ft³

Step-by-step explanation:

V = [tex]\pi[/tex][tex](\frac{d}{2} )^{2}[/tex]h

V = [tex]\pi[/tex][tex](\frac{16}{2} )^{2}[/tex](5)

V = 1,005.30965ft³

Step-by-step explanation:

diameter is 16 feet

height is 5 feet

For you to find the volume you have to know the

formula for finding it

the formula is πr^2h

π=22/7,

r=radius=16/2=8

h=height=5

πr^2h

22/7 x 8^2 x 5

22/7 x 64 x 5

22/7 x 320

=1005.71 feet^3

Step-by-step explanation:

you can plus for obtain a multiply

5×-2y=3

The exponential decay model of phosphorus-32 is [tex]P=P_0e^{-0.0483t}[/tex] and

the amount of phosphorus-32 remaining after 84 days is 0.85 mg

It is given that half-life of Phosphorus-32 is 14.3 days.

Putting P = 25 , P₀ = 50 and t = 14.3 in equation (1) , we get

       [tex]25=50e^{14.3r}\\\\0.5=e^{14.3r}[/tex]

Taking log on both sides , we get

         [tex]log0.5=log_{10}e^{14.3r}\\\\-0.301=14.3rlog_{10}e\\\\\frac{-0.301}{14.3}=r\times0.434 \\\\\r=\frac{-0.0210}{0.434} \\\\r=-0.0483[/tex]

The exponential decay model of phosphorus-32 is [tex]P=P_0e^{-0.0483t}[/tex]

We have to find the amount after 84 days .

Putting [tex]P_0=50mg , \ r=0.0483 , \ t=84[/tex] in equation (1) , we get      

         [tex]P=50\times e^{(-0.0483\times84)}\\\ P=50\times e^{-4.064}\\P=50\times 0.0171\\P=0.85mg[/tex]

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After solving the equation 2 x² the value of x is equal to 1   [tex]\sqrt{1/2}[/tex]

we are asked to find x in 2x² = 1

⇒ 2x² = 1

⇒ x² = 1/2

⇒ x = [tex]\sqrt{1/2}[/tex]

So, x is equal to  [tex]\sqrt{1/2}[/tex]

To solve linear equations, utilize the steps that are provided below.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

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Answer:

AB + BC + AC           a. segment addition postulate

2x+6x+8 = 32           b. substitution property of equality

8x + 8 = 32               c. Combine like terms

8x = 24                     d. subtraction property of equality

x = 3                          e. division property of equality

Answer:

2.8888722e+12

Step-by-step explanation:

calculator

Answer: The answer is 8 because you add 32 + 72 and get 104 x and then 4 +9 = 13 then you divide 104 divided by 13 = 8

Answer:

8, because you add 32 and 72, which will get 104x and then 4+9 which is 13 then you divide 104 divided by 13 = 8

Step-by-step explanation:

hope this helps!

The triangle with lengths 6cm, 8cm and 10cm are right triangles.

A right triangle is a polygon with three sides. It is a triangle in which the sum of the square of the two sides is equal the square of the longest side. The sum of the angles in a right triangle is 180 degrees. One of the angle in a right triangle measures 90 degrees.

According of the Pythagorean Theorem, a triangle is a right triangle if the sum of the square of the two sides is equal the square of the longest side.

The Pythagorean Theorem: a² + b² = c²

where:

6²  + 8²  = 10²

36 + 64 = 100

The triangle is a right triangle because it means the parameters set forth by the Pythagorean Theorem.

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Using the distance between two points, it is found that the distance between the positions of the ship and of the diver is greater than 50 meters, hence the ship captain will not be able to communicate with the diver based on their current positions.

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Looking at the graph, the positions of the ship and of the diver are given as follows:

Hence, applying the formula presented at the beginning of the explanation. the distance is given by:

[tex]D = \sqrt{(48 - 8)^2+(-36-8)^2}[/tex]

D = 59.6.

The distance between the positions of the ship and of the diver is greater than 50 meters, hence the ship captain will not be able to communicate with the diver based on their current positions.

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