8.94 × 10⁹/3 x 10⁵ enter answer in scientific notation ​

The solution of 20% of 90 is, 18

We have,

Use the grid to create a model to solve the percent problem.

Here, We can simplify as,

= 20% of 90

= 20/100 x 90

= 18

Therefore, The solution of 20% of 90 is, 18

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Answer: 3h + 0.9s

Step-by-step explanation:

90% is the same as 0.9 of..

Answer:

\(\frac{n}{2} - 6 + 10\)

n=20; The value of the expression is 14

Step-by-step explanation:

six less than means we're subtracting 6. So,

-6

the quotient means division. of a number and 2 means, the denominator is two. So,

\(\frac{n}{2}\)

increased by ten means we're adding 10. So,

+10

Now put it all together:

\(\frac{n}{2} - 6 + 10\)

Substitute n with 20:

\(\frac{20}{2} - 6 + 10\)

\(10 - 6 + 10\)

\(4 + 10\)

\(14\)

Answer: 4/3 hours or 1 1/3 hours

Step-by-step explanation:

From the question, we are told that two mechanics, Martin and Gordon, are working on your car. Martin can complete the work in 4 hours, while Gordon can complete the work in 2 hours.

Since Martin can complete the work in 4 hours, that means in 1 hour, he will do 1/4 of the work.

Since Gordon can complete the work in 2 hours, that means in 1 hour, he'll do 1/2 of the job.

When they both work together, we will add their fraction of work done in one hour together. This will be:

= 1/4 + 1/2

= 3/4

This means that both of them will do 3/4 of the job in one hour. Then to get the time taken to get the whole job done, we divide 1 by 3/4. This will be:

= 1 ÷ 3/4

= 1 × 4/3

= 4/3 hours

= 1 hour 20 minutes.

In one

O f(x) = 4(1.02)"

O f(x) = 0.5(1.02)

O f (x) =3/4 (1.35)

Of(x) = 7(5/4)

The soluation will be

Of(x) = 7(5/4)

Note: this answer assumes that the question accepts the equation to be written in slope-intercept form.

Answer:

y = 2x + 4

Step-by-step explanation:

To write an equation of a line knowing a slope and a y-intercept, you can use slope-intercept form, or y = mx+ b.

1) Lines that are parallel to each other have the same slope. The answer needs to be parallel to the line y = 2x, so whatever the slope of that equation is must be the slope of the answer, too.

y is isolated in y = 2x, meaning it is in slope-intercept form, or y = mx +b form. The m in y = mx + b represents the slope of the line. In the equation y = 2x, the 2 is in the place of that m - meaning that 2 is the slope of that line, and therefore the slope of the answer, too.

2) The question also says that (0,4) is a point the line must pass through as well. However, notice that the x-value of the point is 0, meaning it is positioned on the y-intercept. Therefore, (0,4) must be the y-intercept of the equation.

3) To write a linear equation with y = mx + b form, you need to replace the m and the b for real values. The slope is 2, and m represents the slope - so write 2 in place of the m. The b represents the y-value of the y-intercept point - knowing that point is (0,4), write 4 in place of the b. Therefore, the answer would be y = 2x + 4 (assuming the question can be written in slope-intercept form).

Answer:

If it has exactly three sides, then it is not a rectangle.

Step-by-step explanation:

R ------> non T

is the same as

T ------> non R

If the three sides are equal then it will not be a rectangle will be the logically equivalent statement.

A rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

Area of rectangle = length × width.

Perimeter of rectangle = 2( length + width).

In a rectangle opposite sides are equal but if the three sides are equal then it will become a square rather than a rectangle.

So, If the three sides are equal then it will not be a rectangle and it will be equivalent to the given statement.

Hence "If the three sides are equal then it will not be a rectangle will be the logically equivalent statement".

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The angle -4π/3 in its standard position is added as an attachment

From the question, we have the following parameters that can be used in our computation:

Angle = -4π/3

The coordinates of this point can be found by using the formula for converting from polar to rectangular coordinates:

x = cos(-4π/3)

y = sin(-4π/3)

So, we have

x = -0.5

y = 0.86

As an ordered pair, we have

(0.86, -0.5)

This means that we plot (0.86, -0.5)

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Isaac started an iPhone screen replacement business. he charges $15 for each screen his shop replaces, the value of the marginal product of labor for the 5th worker is mathematically given as  

M=$90

Generally, It is the change in value or production that occurs when a new worker is hired.

Therefore, the value of the output from hiring 4 & 5workers

V4= $ 15* 43

V4= $ 645

and V8

V5=$ 15 * 49

V5 = $ 735

In conclusion, the marginal product

M= $ 750 - $ 645

M=$90

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Answer:

$20.70

Step-by-step explanation:

5 × $3.70 = $18.50 + $2.20 =

$20.70

Answer:

Parabola

Step-by-step explanation:

Answer:

HEY BABY

Step-by-step explanation:

Answer:

Hours.

Step-by-step explanation:

Snacks is dependent because the number of snacks depends on the hours gone.

Answer:

C.{-1,0,1,2}

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(-2x+9 < x-9\)           (now add 9 to both sides of inequality)

     \(-2x < x-18\)         (now subtract \(x\) to both sides of inequality)

     \(-3x < - 18\)             (now divide both sides of inequality by -3)

          \(x > 6\)                 (REMEMBER: swap directions when dividing or

                                     multiplying by a negative)

SOLUTION:  A

Answer:

D

Step-by-step explanation:

bx -b -ax +a

collect like terms

bx - ax. + a - b

x(b-a) + b +a

The equation in vertex form is y = 2(x+3)² + 1. The vertex is (-3,1), the axis of symmetry is x = -3, and the direction of opening is upwards.

The vertex form of the equation is y = a(x-h)^2 + k, where (h, k) is the vertex. The axis of symmetry is x = h, and the direction of opening is determined by the value of a.

Using this formula, let us write each equation in vertex form and then identify the vertex, axis of symmetry, and direction of opening.

1. y = x² + 8x + 18

To write this equation in vertex form, we need to complete the square. y = x² + 8x + 18 is equivalent to y = (x+4)² - 2. Therefore, the equation in vertex form is y = (x+4)² - 2.

The vertex is (-4,-2), the axis of symmetry is x = -4, and the direction of opening is upwards.2

. y = -x² - 12x - 36To write this equation in vertex form, we need to complete the square. y = -x² - 12x - 36 is equivalent to y = -(x+6)² - 12. Therefore, the equation in vertex form is y = -(x+6)² - 12.

The vertex is (-6,-12), the axis of symmetry is x = -6, and the direction of opening is downwards.3. y = 2x² + 12x + 13To write this equation in vertex form, we need to complete the square. y = 2x² + 12x + 13 is equivalent to y = 2(x+3)² + 1.

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Answer:

126 blue marbles, 24 white marbles

Step-by-step explanation:

The ratio of blue marbles to white marbles is 21 to 4. From this, we have this equation:

\(21x + 4x = 150\)

\(25x = 150\)

\(x = 6\)

So we have 21 × 6 = 126 blue marbles and 4 × 6 = 24 blue marbles.

126/24 = 21/4

The vector PQ, which connects the points P(0,0) and Q(-5,-3), can be visualized as an arrow pointing from P to Q in the xy-coordinate system. The magnitude of vector PQ is √34 (approximately 5.83) .

To sketch the vector PQ, we start at the origin (point P) and move 5 units to the left along the x-axis and 3 units downward along the y-axis to reach point Q. This creates an arrow that represents the direction and magnitude of the vector. The arrow starts at P(0,0) and ends at Q(-5,-3).

To compute the magnitude of vector PQ, we can use the distance formula derived from the Pythagorean theorem. The distance formula states that the distance between two points (x₁,y₁) and (x₂,y₂) in a Cartesian coordinate system is given by the square root of the sum of the squares of the differences in their x and y coordinates:

Magnitude = √(\((x₂ - x₁)² + (y₂ - y₁)²)\)

In this case, substituting the coordinates of P(0,0) and Q(-5,-3) into the formula, we get:

Magnitude = √((\(-5 - 0)² + (-3 - 0)²)\)\(-5 - 0)² + (-3 - 0)²)\)

= √\(sqrt{((-5)² + (-3)²)}\)

= √(25 + 9)

= √34

Therefore, the magnitude of vector PQ is √34 (approximately 5.83)

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Answer:

The answer is 20m=8

Answer:

20m=8

Step-by-step explanation:

8/20=0.4 making m=0.4

Answer:

X³ – 3x² – 9x – 5

= x³ + x² – 4x² – 4x – 5x – 5

= x²( x + 1) – 4x ( x + 1) – 5(x + 1)

= (x + 1)(x² – 4x – 5)

= (x + 1)(x² -5x + x – 5)

= (x + 1)(x – 5) (x + 1)

hence, (x +1), (x -5) and (x +1) are the factors of given polynomial .

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we have that

so we have to divide 10/3 over 1/3. We get that

Answer:

Remove parentheses.

y-10=-3\times -2y−10=−3×−2

2 Simplify 3\times -23×−2 to -6−6.

y-10=-(-6)y−10=−(−6)

3 Remove parentheses.

y-10=6y−10=6

4 Add 1010 to both sides.

y=6+10y=6+10

5 Simplify 6+106+10 to 1616.

y=16y=16

It will cost $300 to carpet a rectangular floor that is 10 feet by 12 feet.

The cost of carpeting a rectangular floor, we need to determine the area of the floor and multiply it by the cost per square foot.

The area of a rectangle is found by multiplying its length by its width. In this case, the length is 10 feet and the width is 12 feet.

Area = Length × Width Area

Area = 10 feet × 12 feet Area

Area = 120 square feet

Now, we can calculate the cost of carpeting by multiplying the area by the cost per square foot

Cost = Area × Cost per square foot Cost

Cost = 120 square feet × $2.50 per square foot

Cost = $300

Therefore, it will cost $300 to carpet a rectangular floor that is 10 feet by 12 feet.

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Answer:

0.17

Step-by-step explanation:

im not really sure but that closest as 0.75+0.6+0.2=0.83 and 1.00-0.83=0.17

Answer:

0.17

hope this helps

Step-by-step explanation:

a.b=0.6×0.75

=0.45

a/b= 0.6/0.75

=0.8

Answer:

The time it takes Ms. Croft to reach the cruise ship by speedboat = 6.11 hours

The time it takes Ms. Croft to reach the cruise ship by helicopter = 6.25 hours

since it takes less time for Ms. Croft to reach the cruise ship by taking the speedboat, her best choice to retrieve the artifact is to take the speedboat.

Step-by-step explanation:

The given parameters are;

The elapsed time by which Ms. Croft missed the boat = 5 hours

The speed of the cruise ship = 528 mi/day

The speed of the speedboat = 100 miles in 2.5 hours

The speed of the helicopter = 90 mph

The time it would take Ms. Croft to arrive at the harbor = 3.5 hours

Therefore, we have;

The cruise ship's speed = 528 miles per 24 hours = 528/24 mph = 22 mph

The location of the cruise after the first 5 hours = 5 × 22 = 110 miles

The speed of the speedboat = 100 miles per 2.5 hours = 100/2.5 = 40 mph

By traveling with a speed boat

The time at which Ms. Croft will intercept the cruise ship is given by the following relation;

40 mph × t = 22 mph × t + 110 miles

Which gives;

40 mph × t - 22 mph × t = 110 miles

18 mph = 110 miles

t = 110 miles/(18 mph) = 55/9 hours ≈ 6.11 hours

By taking the helicopter, we have;

Upon arrival at the harbor, after 3.5 hours, we find

90 mph × t = 22 mph × t + 22 mph × 3.5 hours + 110 miles

90 mph × t - 22 mph × t = 22 mph × 3.5 hours + 110 miles

68 mph × t = 77 miles + 110 miles = 187 miles

t = 187 miles/(68 mph) = 11/4 hours = 2.75 hours

The total time it takes Ms. Croft to reach the cruise ship by taking the helicopter = 3.5 + 2.75 = 6.25 hours

Therefore, since it takes less time for Ms. Croft to reach the cruise ship by taking the speedboat, her best choice to retrieve the artifact is to take the speedboat.

among the given options, the use of correlational statistics OPTION B is the most reliable indicator that a study employed a bivariate correlational design.

A bivariate correlational design is characterized by the examination of the relationship between two quantitative variables. In this context, the use of correlational statistics is a key indicator of this design. Correlational statistics, such as correlation coefficients (e.g., Pearson's r), are employed to assess the strength and direction of the relationship between the variables under investigation.

The presence of measured variables, inclusion of quantitative variables, or depiction of a bar graph are not definitive indicators of a bivariate correlational design. Measured variables can be present in various study designs, including experimental ones. Similarly, quantitative variables can be utilized in different types of studies, such as experimental, quasi-experimental, or observational designs. The depiction of a bar graph, which is commonly used to illustrate categorical data, does not inherently imply the use of a bivariate correlational design.

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a. In terms of a and b  Vector AB = b - a

b. The value is OC=-3/2a + 5/2b

The triangle rule for vector addition posits that if two vectors are depicted as two sides of a triangle, maintaining the correct sequence of magnitude and direction, then the third side of the triangle represents the resulting vector in terms of magnitude and direction.

When we apply this principle to our problem, it's evident that vector OB moves in a counterclockwise direction while vector OA moves in a clockwise direction.

OC =OA + AB + BC

OC=a  -a + b-3 / 2a+3/2b

OC= 5/2b - 3/2a

OC=-3/2a + 5/2b

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Answer:

5 and 12

Step-by-step explanation:

consider the factors of 60

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The only pair of factors which sum to 17 are 5 and 12