How do you determine where to place the decimal point in the product( please quick i have 10 other q to answer)

Gianna is 90 miles far away in 3 hours of driving.

She drove in total of 180 minutes.

The speed can be defined as the rate at which an object covers some distance. Speed can be measured as the distance traveled by a body in a given period of time. The SI unit of speed is m/s.

Given,

Gianna drives 5 miles in 10 minutes

Speed per minute = 5/10 = 0.5 miles/minute

Gianna drove in total for 3 hours

1 hour = 60 minutes

3 hours = 60 × 3 = 180 minutes

Distance Gianna drove in 180 minutes = speed per minute × time

                                                                = 0.5 × 180

                                                                = 90 miles

Hence, Gianna drove 90 miles in 3 hours, 180 minutes is total time she drove.

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Answer:

\(4*6^\frac{5}{2}\)

Step-by-step explanation:

Use \(\sqrt[n]{a^x}=a^{\frac{x}{n} }\) to rewrite \(\sqrt{6^5}\) as \(6^\frac{5}{2}\).

\(4*6^\frac{5}{2}\)

Answer:

The correct fraction is 13/20.

Step-by-step explanation:

\(.65 = \frac{65}{100} = \frac{13}{20} \)

Answer:

sas :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

maybe 3.) esteem needs

....

Answer:

Step-by-step explanation:

A rational number is one that can be expressed as the ratio of two integers. All fractions that have integer numerators and (non-zero) denominators are rational numbers. Any finite decimal number, or any repeating decimal number, is a rational number. These can always be expressed as the ratio of two integers. For example, 0.4040... = 40/99, and 0.286 = 286/1000.

To make an irrational sum, at least one of the contributors must be irrational. You want an irrational 2-number sum that has 7/8 as one of the contributors. Since 7/8 is rational, the other contributor must be irrational.

__

Step 1. The number 7/8 is rational.

Step 2. The desired sum is irrational.

Step 3. The rule rational + irrational = irrational applies.

Step 4. An irrational number must be chosen.

Step 5. √7 will produce an irrational sum, because it is irrational.

1) The first thing to do is to find out the slope of the line that passes through points (0,8) and (-1,-4). We can do this using the Slope Formula:

2) Now, we need to find out the linear coefficient "b". Let's pick a point and plug it into the Slope-Intercept Formula with the slope:

3) Then the answer is:

Answer:

Step-by-step explanation:

this is about the volume of each size of candle.  so the area of the circle , times the height of the candle is the amount of wax needed or it's volume.  

area of a circle is  = \(\pi\)\(r^{2}\)

then the big candle is \(\pi\)\(2^{2}\) = 12.56637

times 10 for it's height = 125.6637

so that's the big candles volume

then make 20 of those = 2513.27

a small candle is \(\pi\)\(1.5^{2}\) = 7.068583471

and it's 6 cm tall so times 6 = 42.41150082

Now divide the small candle volume into the 20 big ones to see how many small ones can be made

2513.27 /  42.41150082 = 59.259

so just a bit over 59 small candles can be made from 20 big candles

x = (12 ± √(-16)) / 4,The solutions would be complex numbers.

To solve quadratic equations of the form ax2 + bx + c = 0, use the quadratic formula. For this situation, your condition is as of now as a quadratic condition, with a = 2, b = - 12, and c = 20.

The quadratic formula is:

x = (-b ± √\((b^2 - 4ac)\)) / 2a

Plugging in the values for a, b, and c, we get:

x = (-(-12) ± √\(((-12)^2 - 4(2)(20)))\) / 2(2)

Simplifying the expression inside the square root:

x = (12 ± √\((144 - 160)\)) / 4

x = (12 ± √(-16)) / 4

Since the square foundation of a negative number is definitely not a genuine number, this condition has no genuine arrangements. Complex numbers would provide the answers.

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Answer:

D. is correct.

\(2 * 1 = 2\)

\(4 * 1=4\)

\(4 + 2 = 6\)

________________________________________________________

The product of answer choice D.(6) is not equal to the product of \(\frac{2}{3}\) × 4, because \(\frac{2}{3}\) × 4 is actually \(2\frac{2}{3}\)

________________________________________________________

We learned how to find whole numbers through an expression with fractions.

Questions related to the topic? Ask me in the comments box.

There is no real Value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.

(i) Zeroes of the polynomial:

In the graph, we have two points where the curve intersects the x-axis: one is at (-1,0), and the other is at (2,0).The corresponding values of x are -1 and 2, and they are the zeros of the polynomial. Therefore, the zeros of the polynomial are -1 and 2.(ii) Forming the quadratic polynomial:

From the graph, we can observe that the curve intersects the y-axis at the point (0,5), implying that the constant term of the polynomial is 5.

We can use the formula to find the quadratic polynomial if we have two zeros and one constant term. Thus, the quadratic polynomial is given by:(x + 1)(x - 2) = x² - x - 2x + 2 = x² - 3x + 2. Therefore, the quadratic polynomial is x² - 3x + 2.(iii) Value of k if a, 1/a are the zeroes of the polynomial 2x² - x + 8k:

We know that a and 1/a are the zeroes of the polynomial 2x² - x + 8k. Therefore, we can find the sum and product of the roots and use them to determine the value of k.

The sum of the roots is a + 1/a, and their product is a(1/a) = 1. Using the sum and product of the roots, we can write: a + 1/a = 1/2 (1/2 is the coefficient of x)Substituting a with 1/a in the above equation, we get: 1/a + a = 1/2Multiplying both sides of the equation by 2a, we get: 2 + 2a² = a

Simplifying the equation, we get: 2a² - a + 2 = 0Multiplying both sides by 2,

we get: 4a² - 2a + 4 = 0Dividing both sides by 2, we get: 2a² - a + 2 = 0

Using the quadratic formula, we get: a = [1 ± √(1 - 4(2)(2))]/(2(2))

Simplifying, we get: a = [1 ± √(-31)]/4Since the discriminant of the quadratic formula is negative, the roots are imaginary. Therefore, there is no real value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.

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Answer:

-60 ? At least that's if you meant like

\(5 \times ( - 12) = - 60\)

Answer:

Cannot simplify As a decimal 0.41.6 Explanation: 512 does not cancel down

Step-by-step explanation:

The disadvantages of the mode are: For many sets of data there is no mode.

The mode is a measure of central tendency that represents the most frequently occurring value in a dataset.

However, one of the disadvantages of the mode is that for many sets of data, there may not be a distinct mode. In such cases, the data may have a uniform distribution where all values occur with equal frequency, or it may have multiple modes with similar frequencies.

The mode is not affected by extremely large or small values. It only considers the frequency of values and not their magnitude. Therefore, extreme values do not influence the mode.

The statement that the mode can only be computed for interval-level data or higher is incorrect. The mode can be computed for any type of data, including nominal, ordinal, interval, and ratio data. It is applicable to categorical as well as numerical data.

The main disadvantage of the mode is that for many datasets, there may not be a distinct mode.

The correct option is: For many sets of data there is no mode.

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After considering the given data we conclude that the clockwise rotational path of the line segment is a rotation of -59.04 degrees about the point (-6, -1).

We have to evaluate the center and angle of rotation to explain the clockwise rotation of the line segment.

So in the first step, we can evaluate the midpoint of the line segment JK and the midpoint of the line segment J'K'. we can calculate the vector connecting the midpoint of JK to the midpoint of J'K'. This vector is (4-1, 1-(-4) = (3,5)

The center of rotation is the point that is equidistant from the midpoints of JK and J'K'. We can evaluate this point by finding the perpendicular bisector of the line segment connecting the midpoints.

The slope of this line is the negative reciprocal of the slope of the vector we just found, which is -3/5. We can apply the midpoint formula and the point-slope formula to evaluate the equation of the perpendicular bisector:

Midpoint of JK: (1, -4)

Midpoint of J'K': (4, 1)

The slope of the vector: 3/5

(x₁ + x₂)/2, (y₁ + y₂) /2

Point-slope formula: y - y₁ = m(x - x₁)

Perpendicular bisector: y - (-4) = (- 3/5)(x - 1)

Applying simplification , we get: y = (- 3/5)x - 1.2

To evaluate the center of rotation, we need to find the intersection point of the perpendicular bisector and the line passing through the midpoints of JK and J'K'. This line has slope ( 3 - (4)) /(4 - 1) = 7/3 and passes through the point (4, 1). Applying the point-slope formula, we can evaluate its equation:

y - 1 = (7/3)( x - 4)

Apply simplification , we get: y = (7/3)x - 17/3

To evaluate the intersection point, we can solve the system of equations:

y =(- 3/5)x - 1.2 = (7/3)x - 17/3

Evaluating for x and y, we get x = -6 and y = -1.

Therefore, the center of rotation is (-6, -1).

√( 4 - 1)² + ( 1 - ( - 4))²) = 5√(2)

Distance between image points and center of rotation

√( ( 6 - (-6))² + ( 3 - (-1))² = 13

The ratio of these distances gives us the scale factor of the transformation, which is 13/√2).

The angle of rotation is negative as the image moves clockwise direction. We can apply the inverse tangent function to find the angle of the vector connecting the midpoint of JK to the midpoint of J'K':

Angle of vector: arctan(5/3) = 59.04 degrees

Therefore, the clockwise rotational path of the line segment is a rotation of -59.04 degrees about the point (-6, -1).

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The correct answer is option A. which is the right triangle shown. The length of the hypotenuse is 6.7 and the length of another side is 4.3. The angle between the 2 sides is x.

The complete figure is attached with the answer below.

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

In the given figure of option A, we can see that the hypotenuse is 6.7 and the base is 4.3 and the angle between both the sides is x. Now we will calculate the angle of cosine x.

Cos(x)= Base / Hypotenuse

Cos(x) = ( 4.3 / 6.7 )

(x) = Cos⁻¹ ( 4.3 / 6.7)

Therefore the correct answer is option A. which is the right triangle shown. The length of the hypotenuse is 6.7 and the length of another side is 4.3. The angle between the 2 sides is x.

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Answer:

The answer is A

Step-by-step explanation:

Just took the test

Answer:

x=17

Step-by-step explanation:

See attached.

Because of the Triangle Proportionality Theorem,

24: (2x-4)+6

20: 2x-4

Cross multiply these two ratios

48x-96 = 40x-80+120

Isolate variable: 8x = 96-80+120

Solve: 8x = 136

x=17

Answer:

421/6 degrees

Step-by-step explanation:

The acute angles of a right triangle are complementary, so

\(10x+6+2x+7=90 \\ \\ 12x+13=90 \\ \\ 12x=77 \\ \\ x=\frac{77}{12}\)

So, the acute angles measures 421/6 degrees and 119/6 degrees, and thus the larger angle is 421/6 degrees.

Answer:

if its true or false its true

Step-by-step explanation:

The length of side X in simple radical form with a rational denominator is 10/√3.

In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.

This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):

Adjacent side = 5/√3

Hypotenuse, x = 2 × 5/√3

Hypotenuse, x = 10/√3.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

The solutions to the system of equations are:

\(x=\frac{1}{2},\:y=5\)

Step-by-step explanation:

Given the system of the equations

\(\begin{bmatrix}4x-3y=-13\\ -2x+y=4\end{bmatrix}\)

Isolate x for for 4x-3y=-13

\(4x-3y=-13\)

\(4x=-13+3y\)

Divide both sides by 4

\(x=\frac{-13+3y}{4}\)

substitute y=5

\(x=\frac{-13+3\cdot \:5}{4}\)

\(x=\frac{1}{2}\)

The solutions to the system of equations are:

\(x=\frac{1}{2},\:y=5\)

Answer:

Explanation:

Given the vectors:

The dot product of u and v is calculated below:

Therefore:

The indicated quantity is:

Answer:

B. add the opposite of four

Step-by-step explanation:

x + 4 = 6

x + 4 + (-4) = 6 + (-4)

x + 4 - 4 = 6 - 4

x + 0 = 2

x = 2

Answer:

tan(θ)= dn/de

θ=arctan(dn/de)

Step-by-step explanation:

The graphing form of the function g(x) is: C) none of the answer choices.

The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.

Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:

a = 1 (coefficient of x^2)

b = 4 (coefficient of x)

c = -7 (constant term)

Therefore, the graphing form of the function g(x) is:

C) none of the answer choices

None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.

In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.

The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C

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Answer:

See below

Bold parts are important parts. They are the equations.

Marina had RM24,500 to invest.

If the amount of money in the 4% account was four times the amount of money in the 5.5% account.

" At the end of the year, she had made RM1,300 in interest. The annual yield on each of the three accounts was 4%, 5.5%, and 6%."

"If the amount of money in the 4% account was four times the amount of money in the 5.5% account,"

a = 4b

Down is the equations.

let a = amt in the 4% acct

let b = amt in the 5.5% acct

let c = amt in the 6%

"Marina had RM 24,500 to invest."

a + b + c = 24500

Replace a with 4b in both equations, simplify

b = $2000 in the 5.5% investment

a = $8000 in the 4% acct

Hope this helps.

Marina invested $ 8000 at 4%, $ 2000 at 5.5%, and $ 14,500 at 6%.

Since Marina had $ 24,500 to invest, and she divided the money into three different accounts, and at the end of the year, she had made $ 1,300 in interest, and the annual yield on each of the three accounts was 4%, 5.5%, and 6%, to determine, if the amount of money in the 4% account was four times the amount of money in the 5.5% account, how much had she placed in each account, the following calculation must be performed:

Therefore, Marina invested $ 8000 at 4%, $ 2000 at 5.5%, and $ 14,500 at 6%.

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Sphenathi and the other matriculants must travel at an average speed of approximately 107 km/h to reach Uptington by 09:45.

To determine the average speed at which Sphenathi and the other matriculants must travel to reach Uptington by 09:45, we need to calculate the time available for the journey and the distance between the two locations.

The time available is from 07:25 to 09:45, which is a total of 2 hours and 20 minutes. We need to convert this time to hours by dividing by 60:

2 hours + 20 minutes / 60 = 2.33 hours

Now, let's calculate the distance between Bloemfontein and Uptington. Suppose the distance is 'd' kilometers.

We can use the formula for average speed: average speed = distance / time

In this case, the average speed should be such that the distance divided by the time is equal to the average speed.

d / 2.33 = average speed

Now, let's assume that Sphenathi and the other matriculants must travel a distance of 250 kilometers to reach Uptington. We'll substitute this value into the equation:

250 / 2.33 = average speed

To find the average speed to the nearest km/h, we'll calculate the result:

average speed ≈ 107.3 km/h

Therefore, Sphenathi and the other matriculants must travel at an average speed of approximately 107 km/h to reach Uptington by 09:45.

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The statement about a positive integer being expressed as the sum of the squares of 2 positive integers has been proved below.

For example;

a² + b² = c

where a, b and c are positive integers

If we use a = 2 and b = 4, we will have;

2² + 5² = c

c = 4 + 25

c = 29

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Answer:

From left to right:

1/8

5/8

1-3/16

1-7/8

2-1/2

3-1/8

4-3/8

5-3/8

5-7/8

Answer:

Step-by-step explanation:

The true statements regarding the subsets are:

Subset A contains only prime numbers and has 4 elements.

Subset B contains 1, which is not a prime number, and has 4 elements.

Subset C uses parentheses instead of brackets, which indicates that it is not a valid subset notation.

Subset D contains only odd numbers and has 3 elements.

Therefore, the true statements are about subsets A and D.

Answer:

-3

Step-by-step explanation:

Equation: (x + 6) - 5 = -2

we want to isolate x

(x + 6) - 5 = -2              

          + 5    + 5      (add 5 to start getting x on its own)

x + 6 = 3                

  - 6      - 6                 (subtract 6 to isolate x)

x = -3

so, this answer was not provided, but is the correct answer.

The solution to this equation is -3,

so, the correct answer is: -3.

Here, we have,

given that,

Equation is:

(x + 6) - 5 = -2

we want to isolate x

(add 5 to start getting x on its own)

(x + 6) - 5+ 5 = -2 + 5                          

(subtract 6 to isolate x)

x + 6 - 6 = 3   - 6              

so, we get,                  

x = -3

so, the solution to this equation is -3,

so, the correct answer is: -3.

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