Write -8<=x<=8 as an absolute value inequality

We need to know about logarithm to solve this problem. The greatest integer that is less than the value of log 5 is 0.

Logarithm is the exponent that is raised to a base to get a certain number. There are a few rules of algorithm, log a+ log b can be written as log ab, log a -log b can be written as log a/b, when a number whose logarithm is being calculated is raised to a certain power then the power can be directly multiplied to the log itself. Logarithm when written as log has a base of 10, the logarithm of a number that is same as it's base is always 1, the log of 1 is always zero, because any nonzero number raised to 0 is 1.We will find the value of log 5 first and then choose the nearest integer that is less than log 5.

log 5=log 10/2 =log 10-log 2=1-0.30=0.7

Therefore the greatest integer that is less than the value of log 5 is 0.

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Answer:

12

Step-by-step explanation:

Area of a triangle = 1/2*b*h

[tex]144=(\frac{1}{2})*(2x)*(x)\\12=x[/tex]

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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[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]

It will take 4.63 years to double the principal.

The formula for calculating the amount (A) on a principal (P) invested at the rate of r%, compounded continuously after t years is-

A = P[tex]e^{rt}[/tex]

Here r = 6.5%

= 0.065

Let the principal amount be P,

then the amount after t years = 2P

A = P[tex]e^{rt}[/tex]

2P = P[tex]e^{rt}[/tex]

2P/P = [tex]e^{rt}[/tex]

2 = [tex]e^{0.065t}[/tex]

Taking log on both sides-

Log 2 = log [tex]e^{0.065t}[/tex]

Log 2 = 0.065t log e

Log 2 = 0.065t

0.65t = Log 2t

= log 2/ 0.065t

= 0.301/ 0.065 t

= 4.63

Thus, it will take 4.63 years to double the principal.

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Option c is correct i.e., |81 - ( -29)|

On January 1, the high temperature was 81 F in Kona and the low temperature was - 29 F in Barrow.

We have to find the difference between the two temperatures.

So the difference between is

    = 81 - (- 29)

    = 81 + 29

    = 110

Therefore the difference the two temperatures is 110.

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Answer:

10 = -6

Step-by-step explanation:

Answer:

X = - 39

Step-by-step explanation:

ANSWER: x+3x7/3 = - 6

Hope this helps u : )

Step-by-step explanation:

for the lengths of BC and AC we can count the squares, because the lengths of these lines are the sum of the side lengths of each inducing square.

1.

BC = 7 - -2 = 7 + 2 = 9 cm

2.

AC = 13 - 1 = 12 cm

3.

but for AB we cannot do that, because AB consists of the lengths of all the diagonals of the squares. and a diagonal must always be longer than any side.

just look at the triangle : it is clear that AB must be longer than AC.

no, for a line that goes across the grid squares we need other methods.

in our case, we have a right-angled triangle and can use Pythagoras

c² = a² + b²

c being the Hypotenuse (the side opposite of the 90° angle), a and b being the legs of the triangle (enclosing the 90° angle).

AB is in our case the Hypotenuse, and we get

AB² = 12² + 9² = 144 + 81 = 225

AB = sqrt(225) = 15 cm

4.

as explained, we used Pythagoras.

5.

the coordinates for a midpoint between 2 points (x1, y1) and (x2, y2) are simply

((x1+x2)/2, (y1+y2)/2)

A = (13, -2)

B = (1, 7)

C = (1, -2)

midpoint AC = ((13+1)/2, (-2 + -2)/2) = (14/2, -4/2) =

= (7, -2)

the x coordinate is 7.

6.

midpoint BC = ((1+1)/2, (7+ -2)/2) = (2/2, 5/2) = (1, 2.5)

the y coordinate is 2.5

7.

midpoint AB = ((13+1)/2, (-2+7)/2) = (14/2, 5/2) =

= (7, 2.5)

Answer: 161+7n

Explanation: Let the number be n.

7(23+n)

=161+7n

Hope this helps you! Have a great day!!!!! :) :D

The volume of the tepee is 100.48 feet³

The formula for the volume of tepee is same as the volume of cone which is given as :

               V = 1/3 πr²h        (1)

where V = volume

           r = radius of the tepee

           h = height of the tepee

According to the question we have been given that

            radius = 4 feet

             height = 6 feet

Putting the required values in equation (1) we get

                V = 1/3 π (4)²(6)

                   = 1/3 (3.14)(96)

                   = 301.44/3

                   = 100.48 feet³

Hence the volume of the tepee is  100.48 feet³

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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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The result of the linear expression [tex]5-\frac{t}{3}[/tex] is 1.

What is linear expression?

An algebraic expression that uses either a constant or a variable raised to the first power for each term is known as a linear expression. This means that none of the exponents can be greater than 1.

Given [tex]5-\frac{t}{3}[/tex]

Also given that t = 12

Substitute the value of t and we get

[tex]5-\frac{12}{3}\\=5-4\\=1[/tex]

Therefore, the result of the linear expression [tex]5-\frac{t}{3}[/tex] is 1.

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Ari loss 53.94% of his account balance for this live tv streaming service.

Given,

The charge for a live tv streaming service that is automatically deducted from Ari's bank account each month = $8.99

This deduction continues for 6 months.

We have to find the change in Ari's bank account after 6 months for this service.

Charge for 1 month = 8.99

Charge for 6 months = 6 × 8.99 = 53.94

That is if Ari had $100 in his account, now after 6 months 53.94% deducted for the tv streaming service charge.

Now, he has an account balance:

100 - 53.94 = 46.06

In terms of amount, he has an account balance of $46.06.

In terms of percentage,

Ari lost 53.94% from his account balance and now he has 46.06% account balance.

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The value of the expression 8² + 3 × 78² + 3 × 7 will be 18337.

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

The expression is given below.

⇒ 8² + 3 × 78² + 3 × 7

Simplify the expression, then we have

⇒ 8² + 3 × 78² + 3 × 7

⇒ 64 + 3 × 6084 + 21

⇒ 85 + 18252

⇒ 18337

The value of the expression 8² + 3 × 78² + 3 × 7 will be 18337.

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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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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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The maximum value of the data is being incorrectly shown by the box plot diagram.

We are given the data:

93, 83, 74, 74, 83, 92, 93, 94, 90, 87, 83, 86

We are also given the box plot diagram of the data which shows that:

Minimum value of the data = 74

Lower quartile = 83

Median quartile = 86.5

Upper quartile = 92.75

Maximum value = 99

We need to tell which is the wrong interpretation among these.

We can see that, the maximum value of the data is only 93 and not 99.

So, that is the wrong representation by the box plot.

Therefore, we get that, the maximum value of the data is being incorrectly shown by the box plot diagram.

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Answer:

M(-3;3/2)

Step-by-step explanation:

substitute in this formula of finding midpoint coordinate:M(x1+x2÷2;y1+y2÷2)

The greatest percent error among the predictions time of the race is: 3.15 %

Although part of your question is missing, you might be referring to this dot plot that shows the predictions for the winning time (see image attached)

To solve this exercise, we have to apply the percentage formula:

Error (%) = [(prediction time – real time) / real time] * 100

Information about the problem:

Applying the percentage formula, we have:

Error (%) = [(prediction time – real time) / real time] * 100

Error (%) = [(22.9 seconds – 22.2 seconds) / 22.2 seconds] * 100

Error (%) = [(0.7 seconds) / 22.2 seconds] * 100

Error (%) = 0.0315 * 100

Error (%) = 3.15 %

Percentage is defined as the number that represents a ratio of a total that is divided by 100 equal parts. It is represented by the symbol %.

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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!

Answer:

2.8888722e+12

Step-by-step explanation:

calculator

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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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:

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

The equation that shows how the total number of loads done, y, depends on how many weekdays have passed, x will be y = 3 + x.

An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario. It is important to note that an equation is the mathematical statement which can be made up of two expressions which are connected by an equal sign.

In this case, Cohen family desperately needs to catch up on doing laundry. Over the weekend, Mr. and Mrs. Cohen got 3 loads done. Now, during the week, they plan to do 1 load per day.

The equation that shows how the total number of loads done, y, depends on how many weekdays have passed, x will be:

y = 3 + 1(x)

y = 3 + x

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x=3.4

Im writing this bc the app says the answer is too short

Answer:

Step-by-step explanation:

True

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