What number multiplied by 7/9 as a product of one

Answer:

  about -4.7622

Step-by-step explanation:

You want the cube root of -108.

Your calculator will tell you the cube root of -108 is about -4.7622.

__

Additional comment

Some calculators compute roots using logarithms. Since the logs of negative number are not real, they will give you an error if you try to do this directly. You have to know that the odd index root of a negative number is the opposite of the same root of its absolute value.

The prime factoring of 108 is 2²·3³. Factoring out the perfect cube gives the simplified form ...

  ∛-108 = -3∛4

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Answer:

B. (1,7)

Step-by-step explanation:

The length of the rectangle is 100cm.

The breadth of the rectangle is 4cm.

The square encloses more area than the rectangle.

The first step is to determine the area of the square.

Area of a square = length² = 50² = 2500 cm²

Area of a rectangle = length x width

length = area / width

2500 / 25 = 100cm

The first step is to determine the perimeter of the square.

Perimeter = 4 x length

4 x 5 = 20cm

Perimeter of a rectangle = 2(length + width)

breadth = (perimeter / 2) - length

(20 / 2) - 6

10 - 6 = 4cm

Area of the square = 5 x 5 = 25

Area of the rectangle = 6 x 4 = 24

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Answer:

2/15

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

The equivalent value of the fraction is A = 2/15

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first fraction be p

Let the second fraction be q

Now , A = p/q

when the value of p = 2/5

And , when the value of q = 3

On simplifying the equation , we get

A = ( 2/5 ) / 3

So , the left hand side of the equation is equated to the right hand side by the value of ( 2/5 ) / 3

A = ( 2/5 ) / 3

A = ( 2/5 ) ( 1/3 )

On simplifying , we get

A = 2/15

A = 0.133333

Therefore , the value of A = 2/15 = 0.133333

Hence , the fraction is A = 2/15

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The sprinter will complete the race in approximately 17.07 seconds.

To calculate the time for the race, we need to consider two parts: the acceleration phase and the constant velocity phase.

Acceleration Phase:

The acceleration of the sprinter is 1.64 m/s², and the distance covered during this phase is 25 m. We can use the equation of motion to calculate the time taken during acceleration:

v = u + at

Here:

v = final velocity (which is the velocity at the end of the acceleration phase)

u = initial velocity (which is 0 since the sprinter starts from rest)

a = acceleration

t = time

Rearranging the equation, we have:

t = (v - u) / a

Since the sprinter starts from rest, the initial velocity (u) is 0. Therefore:

t = v / a

Plugging in the values, we get:

t = 25 m / 1.64 m/s²

Constant Velocity Phase:

Once the sprinter reaches the end of the acceleration phase, the velocity remains constant. The remaining distance to be covered is 100 m - 25 m = 75 m. We can calculate the time taken during this phase using the formula:

t = d / v

Here:

d = distance

v = velocity

Plugging in the values, we get:

t = 75 m / (v)

Since the velocity remains constant, we can use the final velocity from the acceleration phase.

Now, let's calculate the time for each phase and sum them up to get the total race time:

Acceleration Phase:

t1 = 25 m / 1.64 m/s²

Constant Velocity Phase:

t2 = 75 m / v

Total race time:

Total time = t1 + t2

Let's calculate the values:

t1 = 25 m / 1.64 m/s² = 15.24 s (rounded to two decimal places)

Now, we need to calculate the final velocity (v) at the end of the acceleration phase. We can use the formula:

v = u + at

Here:

u = initial velocity (0 m/s)

a = acceleration (1.64 m/s²)

t = time (25 m)

Plugging in the values, we get:

v = 0 m/s + (1.64 m/s²)(25 m) = 41 m/s

Now, let's calculate the time for the constant velocity phase:

t2 = 75 m / 41 m/s ≈ 1.83 s (rounded to two decimal places)

Finally, let's calculate the total race time:

Total time = t1 + t2 = 15.24 s + 1.83 s ≈ 17.07 s (rounded to two decimal places)

Therefore, the sprinter will complete the race in approximately 17.07 seconds.

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Answer:

Any rectangle has two diagonals that are congruent to each other. Furthermore, it can be shown that if the two diagonals of a parallelogram are equal.

Step-by-step explanation (PLEASE READ AND DON'T SKIP UNTIL YOU SEE THE ANSWER!!!!!):

   When you see this answer it might be complex or just challenging. But since we know that 8x6 is already 48, we need something equal to 240 when you multiply it. As 8x6 (and times the missing number). Now, what can you multiply by 8x6 to get a total of 288? The answer is simple, 6. So it means that when you multiply 8x6x6 you get a total of 288. Or also as (8x6)x6=288.

Hope this helps! Please rate this a 4+ star if it totally helped you nail your test! Or rate this a heart with the brainliest. Or both ;) .

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To measure exactly one gallon of water, fill 12-gallon jug until full, pour the water from 12-gallon jug into 8-gallon and 3-gallon jug until they are completely filled. The remaining water in the 12-gallon jug is 1 gallon.

The four basics mathematic operators are: addition, subtraction, product or multiplication, and division.

Addition: combining two numbers together, the symbol is +

Subtraction: Taking out one number from the other number, the symbol is -

Multiplication: Adding a number repetitively as much as the other number times. For example 4 x 3 = 3 + 3 + 3 + 3. The symbol is x

Division: Dividing one number by the other number, the symbol is :

In this problem, we need to perform the basic arithmetic operators.

We have 3 jugs with measurement: 12 gallons, 8 gallons, and 3 gallons. Let's translate them into numbers.

We have three numbers: 12, 8, and 3.

Using those three numbers, which operators we have to use to get he result: 1.

First, use addition: 8 + 3 = 11

Then, use subtraction: 12 - 11 = 1

Or 12 - (8 + 3) = 1

Hence, to get exactly 1 gallon of water:

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The type of retirement account is an investment option for ANY young person is  401(k). option C

A 401(k) retirement account is described as an option for investing money, created and arrangement for youths with access to any lucrative job that pays a reasonable amount of money.

This retirement account creates room for  individuals to contribute a portion of their tax income towards retirement savings, and also  contributes to grow tax-deferred until withdrawal.

However, pensions are employer-funded retirement plans and may be unavailable to all young individuals

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Answer: x = 138

Step-by-step explanation:

\(108+117+x=3 * 121\\3 * 121 = 363\\Rearrange unknown terms to the left side of the equation\\x=(363-108)-117\\\\255-117=138\\x=138\)

We have 98 % confidence that the true mean time a student sleeps per night is between 6.2928 hours and  7.1832 hours.

Mean = (8.6 + 8.3 + 7.6 + 6 + 7.1 + 5.6 + 5.1 + 6)/ 8 =  6.7875

Standard deviation = √Σ(x - mean)²/n

Σ(x - mean)² = (8.6 - 6.7875)^2 + (8.3 - 6.7875)^2 + (7.6 - 6.7875)^2 + (6 - 6.7875)^2 + (7.1 - 6.7875)^2 + (5.6 - 6.7875)^2 + (5.1 - 6.7875)^2 + (6 - 6.7875)^2

Standard deviation  : \(\sqrt{11.82875}/8\)

s = 0.42991

Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

The sample mean, x is the point estimate for the population mean.

Margin of error = z × s/√n

Where

sample standard deviation

number of samples

From the information given, the population standard deviation is unknown and the sample size is small, hence, we would use the t distribution to find the z score

In order to use the t distribution, we would determine the degree of freedom, df for the sample.

df = n - 1 = 8 - 1 = 7

Since confidence level = 98% = 0.98, α = 1 - CL = 1 - 0.98 = 0.02

α/2 = 0.02/2 = 0.01

the area to the right of z0.01 is 0.01 and the area to the left of z0.01 is 1 - 0.01 = 0.99

Looking at the t distribution table,

z = 2.998

Margin of error = 2.998 × 0.42/√8

                        = 0.4452

The lower limit of this confidence interval is

6.738 - 0.4452 = 6.2928

The upper limit of this confidence interval is

6.738 + 0.4452 = 7.1832

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The following are the series test to show series are absolute convergence ,Ratio Test ,Limit Comparison Test, Root Test.

The following series tests can be used to show that a series converges absolutely,

Ratio Test

Root Test

Limit Comparison Test

The Alternating Series Test cannot be used to show absolute convergence, as it only applies to alternating series.

The Test for Divergence is used to show that a series diverges, but not whether it converges absolutely.

The Alternating Series Test and Test for Divergence do not test for absolute convergence, but rather conditional convergence.

They cannot be used to show that a series converges absolutely.

Therefore, series used to show absolute convergence are given by

Ratio Test

Limit Comparison Test

Root Test

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According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

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Answer:

81

Step-by-step explanation:

24% × 337.5 =

(24 ÷ 100) × 337.5 =

(24 × 337.5) ÷ 100 =

8,100 ÷ 100 =

81;

Answer:

what r Robins scores

Answer:

5.2

Step-by-step explanation:

I got it right on edge lol.

The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.

To determine the sequence of transformations, let's break down the given function:

1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.

2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.

3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.

4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.

5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.

In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.

Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.

After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)

This example helps illustrate the effect of the transformations on the graph of the function.

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Certainly! I'll be happy to solve and explain the given problem to you in a step-by-step manner.

In the given diagram, we have a triangle with two angles labeled as 4x° and (3x + 10)°. We need to solve for the value of x.

According to the properties of triangles, the sum of the interior angles of a triangle is always 180 degrees. Therefore, we can set up the following equation:

4x + (3x + 10) + 90 = 180

Let's simplify the equation:

4x + 3x + 10 + 90 = 180

7x + 100 = 180

Next, we'll isolate the variable term by subtracting 100 from both sides of the equation:

7x = 180 - 100

7x = 80

To solve for x, we'll divide both sides of the equation by 7:

x = 80 / 7

Now, let's calculate the value of x:

x ≈ 11.43

Therefore, the value of x is approximately 11.43.

Please note that this solution assumes the given diagram accurately represents the angle measurements, and the calculations provided are based on that assumption.

Answer:

see explanation

Step-by-step explanation:

-9x = -3y

-6x = 2  1/5y

3x = 0y

9x = 2y

The true statement is "the line that can be drawn through points D and E is contained in plane Y".

option B is the correct answer

The points x and y and points C,D,E and f are shown in the figure, the true statement is determined as follows;

We know that, if two points lie in a plane, then the line drawn through the points will contained in the same plane.

The points C lies outside the plane Y and the point D lies on the plane Y, so the line drawn through the points C and D will not contained in plane Y.

So, option (A) is NOT correct.

The points D and E, both lie in the plane Y, so the line drawn through the points D and E will also contained in plane Y.

So, option (B) is CORRECT.

Since the plane X contain infinitely many points, so F is not the only point that can lie in plane X.

So, option (C) is NOT correct.

Similarly, there are infinitely many points in the plane Y, so the points D and E are not the only points that can lie in plane Y.

So, option (D) is NOT correct.  

Thus, the correct option is;

The line that can be drawn through points D and E is contained in plane Y.

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The complete question is below:

Points x and y and points C,D,E and f are shown what is true about points

(A) The line that can be drawn through points C and D is contained in plane Y.

(B) The line that can be drawn through points D and E is contained in plane Y.

(C) The only point that can lie in plane X is point F.

(D) The only points that can lie in plane Y are points D and E

Answer:

I think it’s 28160

Answer:

8.8×10^12

Step-by-step explanation:

4×10^4 = 40000

2.2×10^8 = 220000000

220000000×40000=8800000000000

8800000000000 = 8.8×10^12

Answer:

Step 2

Step-by-step explanation:

Step 2 b/c \(4\frac{1}{8}\) = \(\frac{33}{8}\)

Answer:

-4*20+3*190=490

2*20+190=230

-2*20-3*190=-610

The truck driver would deliver 105 packages in a 7 hours day

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

Let y represent the number of packages delivered by the truck driver in x hours. Using the point (1, 15) and (4, 60). Hence, the equation is:

y - 15 = [(60-15)/(4-1)](x - 1)

y = 15x

For a 7 hour day (x = 7):

y = 15(7) = 105

The driver would deliver 105 packages in 7 hours

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Answer:

3/8

Step-by-step explanation:

hope it helps :)

Answer:

60%, 40%

Step-by-step explanation:

there are 1,2,3,4,5,6 numbers in the dice the even numbers are moreover than the odd so It 60%,40%

Answer:

50%, or mutually exclusive

Step-by-step explanation:

A die has 6 sides 1-6. So there are three odd numbers (1,3,5) and three even number (2,4,6). It is a single throw so the die can only land on one number mutually exclusive number, since there are the same amount of odd numbers as even the probability is 50%.

Answer:

D

Step-by-step explanation:

The grapefruit's volume in cubic centimeters to the nearest tenth is equal to 775.8 cubic centimeters.

Mathematically, the volume of a sphere can be calculated by using this mathematical expression:

Volume = 4/3 × πr³

Where:

r represents the radius.

Based on the information provided about the grapefruit, the diameter of the sphere is given by;

Diameter of sphere = 11.4 cm

Radius = diameter/2 = 11.4/2 = 5.7 cm.

Substituting the given points into the volume of a sphere formula, we have the following;

Volume of sphere = 4/3 × 3.142 × 5.7³

Volume of sphere = 775.8 cubic centimeters.

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The prime factorization of 2 = 2. The greatest common factor of 20 and 36 is 4. The prime factorization of 9 = 3 x 3. The prime factorization of 15 = 3 x 5. The prime factorization of 10 = 2 x 5.

Prime factorization is factoring the number in the form of its prime factors.

a. We have to find the prime factorization of 2.

Since 2 is the smallest prime number it cannot be factored further.  

So, we have the prime factorization of 2 = 2.

b. We have to find the greatest common factor of 20 and 36

    Let's find the prime factors of each of the numbers 20 and 30 as follows-

factors of 20 = 2 x 2 x 5

factors of 36 = 3 x 3 x 2 x 2

So, the GCD = 2 x 2 = 4

Hence, the greatest common factor of 20 and 36 is 4.

c. We have to find the prime factorization of 9.

Let us find the factors of the 9.

the factors of 9 = 3 x 3.

Hence, the prime factorization of 9 = 3 x 3.

d. We have to find the prime factorization of 15.

Let us find the factors of the 15.

the factors of 15 = 3 x 5.

Hence, the prime factorization of 15 = 3 x 5.

e. We have to find the prime factorization of 10.

Let us find the factors of the 10.

the factors of 10 = 2 x 5.

Hence, the prime factorization of 10 = 2 x 5.

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The complete question is -

a. what is the prime factorization of 2?

b. what is the greatest common factor of 20 and 36?

    2, 4, 5, or 6

c. what is the prime factorization of 9?

d. what is the prime factorization of 15?

e.what is the prime factorization of 10?

Answer:

Slope = -5

Step-by-step explanation:

(x,y) ⇒ (13,11), (14,6), (15,1), (16,-4)

Pick any two points:

(x₁, y₁) and (x₂, y₂) ⇒ (15, 1) and (16, -4)

Use the slope formula:

⇒ y₂ - y₁/x₂ - x₁

⇒ -4 - 1/16 - 15

⇒ -5/1 = -5

Thus, the slope is -5.

Answer:

Length of Ladder(Hypotenuse)=18

Height of wall(Opposite) =14

How far from the base... This talks about the adjacent or distance between the wall and the base.

You can get your answer from Pythagoras theorem

Which states

The square of the hypotenuse is = to the squares of the adjacent and Opposite sides

H² = O² + A²

We're looking for the adjacent "A"

Making A the subject

A² = H² - O²

A= √H² - O²

A= √18² - 14²

A=√128

A= 8√2'