Rewrite one fourteenth times x cubed times y plus three fourteenths times x times y squared using a common factor.

The length of the arc of the circle is 19.6 inches

We can find the length of the arc using the formula;

where ;

Substituting these values;

Exact number of steps taken by Anne to cross the road either by striding 80cm or by striding 70cm , then the least width of the road is equal to 5.6meters.

As given in the question,

Anne takes exact number of steps to cross the road either by striding 80cm or by striding 70cm.

Conversion of the units

1 meter = 100 centimeters

1 centimeter = 1/100 meter

80 cm = 80 /100

          = 0.8 meters

70 cm = 70 /100

          =0.7 meters

Least width of the road is calculated by finding least common multiple of 0.8 meters and 0.7 meters

0.8 = 8 × (1/10)

0.7 = 7 × (1/10)

least common multiple = 7 × 8 × (1/10)

                                    = 5.6 meters

Therefore, exact number of steps taken by Anne to cross the road either by striding 80cm or by striding 70cm , then the least width of the road is equal to 5.6meters.

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Answer:

BIDMAS is a math term that is used to describe these 6 terms.

Brackets

Indices, which is another word for exponents

Division

Multiplication

Addition

Subtraction

Answer:

It is the order of operation in order to know how to calculate an equation starting from which order.

Step-by-step explanation:

Brackets first

Indices second

Division and multipaction third. From left to right

Addition and subtraction last. From left to right

Two triangles are similar if the ratio of their corresponding side equal'

Triangle

Because

Corresponding sides are

Therefore,

Triangle

Answer:

2x - 5y

Step-by-step explanation:

Hello!

We can distribute the value outside the parenthesis to the terms inside to simplify the expression.

The simplified expression is 2x - 5y.

We get that the expected temperature is

The wave length of the gamma ray with a frequency of 1.0 x 10¹⁹ is 3 x 10⁻¹¹

Wave length:

Wavelength refers the distance between two peaks (or troughs) of a wave, and is therefore measured in meters.

The formula for calculating wave length is,

λ = c/v

where,

c = 3.0 × 10⁸, i.e. the speed of light, and

λ = wavelength , and

ν = frequency .

Given,

Here we have the frequency as 1.0 x 10¹⁹.

Now we need to find the wave length of the gamma ray.

Here we know that value of c = 3 x 10⁸

And the value of v = 1.0 x 10¹⁹

Wen we apply the value on the formula then we get,

λ = ( 3 x 10⁸) / ( 1.0 x 10¹⁹)

When we simplify it, then we get,

v = 3 x 10⁻¹¹

Therefore, the wavelength of the gamma ray is 3 x 10⁻¹¹.

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The given conditions cannot form a triangle. A triangle cannot be formed if the sum of three angle measurements does not equal 180°.

A triangle is a three-sided polygon with three edges and three vertices in geometry. The sum of a triangle's internal angles equals 180 degrees, which is its most important property. This is known as the angle sum property of a triangle.

A triangle's interior angles always add up to 180°, whereas its exterior angles are equal to the sum of the two interior angles that are not adjacent to it. Another method for calculating a triangle's exterior angle is to subtract the angle of the vertex of interest from 180°.

A protractor is the most convenient tool for measuring angles. If you don't have a protractor, you can use the basic geometric principles of triangles to determine the size of an angle. To solve the equations, you'll need a scientific calculator.

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Answer: w=2.56

Step-by-step explanation:

7.68/3=2.56

The value of y when x is 9 for the proportional relationship between is 31.5.

The constant of proportionality is used to show the proportional relationship between the numbers given.

In this case, when x is 2, y is 7. This will be illustrated thus:

y = kx

7 = 2k

Divide

k = 7/2

k = 3.5

Therefore, when x is 9, the value of y will be:

y = kx

y = 3.5 × 9

y = 31.5

Therefore, y is 31.5.

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step 1

Find out the unit price

Divide the total cost by the total ounces

so

2/16=$0.125 per ounce

step 2

Find the cost of 8 oz

Multiply the number of ounces by the unit price

so

0.125*8=$1

Find the cost of 12 oz

0.125*12=$1.5

Find the cost of 18 oz

0.125*18=$2.25

Find the cost of 28 oz

0.125*28=$3.5

Answer:

Brainliest Answer?

( 7 / 8 ) seconds

( 77 / 4 ) feet

Step-by-step explanation:

The question is a bit confusing but I will do it both ways. I will assume that you made a mistake copying over the function because the graph s( t ) is linear. Linear functions have a maximum value of infinity because it is an odd-degree polynomial.

Assume that s( t ) = - 16t² + 28t + 7;

The equation forms an upside-down parabola which means it has a maximum value.

Complete the square to get the axis of symmetry and the maximum value of the parabola or use my very cool formula. The variables h and k represent the axis and max respectively.

ax² + bx + c = a( x - h )² + k;

ax² + bx + c = a( x - ( - b / 2a ) )² + c - ( b² / 4a );

ax² + bx + c;

Take a as a factor.

a( x² + ( b / a )x + ( c / a ) );

Add and subtract the square of ( 1 / 2 ) of ( b / a ). This is called completing the square because it forms a perfect square trinomial.

a( x² + ( b / a )x + ( b / 2a )²  - ( b / 2a )² + ( c / a ) );

Factorise the trinomial.

a( ( x + ( b / 2a ) )² - ( b / 2a )² + ( c / a ) );

Use the distributive property of multiplication.

a( x + ( b / 2a )² + a( ( c / a ) - ( b / 2a )² );

a( x + ( b / 2a )² +  a( ( c / a ) - ( b² / 4a² ) );

Simplify the fractions.

a( x + ( b / 2a )² + c - ( b² / 4a );

Substitute the values.

- 16( t - ( - 28 / 2( - 16 ) )² + 7 - ( ( 28 )² / 4( - 16 ) );

Time is the x-axis so we need to solve for the axis of symmetry.

h = ( - 28 / 2( - 16 ) );

h = ( - 28 / - 32 );

Simplify the fraction.

h = ( 7 / 8 );

Maximum height is the parabola's y of the vertex.

k = 7 - ( ( 28 )² / 4( - 16 ) );

k = 7 - ( ( 28 )( 28 ) / - 64 );

k = 7 - ( 784 / - 64 );

k = 7 - ( - 49 / 4 );

k = ( 28 / 4 ) + ( 49 / 4 );

k =  77 / 4;

A 30% percentage of the total price was taken off the TV.

So, the percentage is taken off from TV:

$1,420 - $994 = $426

Formula: (original price - decreased price)/original price × 100

Now, substitute values as follows:

Now, 100% - 70% = 30%

Therefore, a 30% percentage of the total price was taken off the TV.

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Given the following function:

f(x) = 3x - 3

Let's determine the value at f(-3),

This means that we will be replacing all x variables of f(x) by -3.

We get,

f(x) = 3x - 3

f(-3) = 3(-3) - 3

= -9 - 3

f(-3) = -12

Therefore, f(-3) = -12

Given the following function:

f(x) = 3x - 3

Let's determine the value at f(-3),

This means that we will be replacing all x variables of f(x) by -3.

We get,

f(x) = 3x - 3

f(-3) = 3(-3) - 3

= -9 - 3

f(-3) = -12

Therefore, f(-3) = -12

The first one is TRUE since there are not outliers

The second one is FALSE

The interquartile range is 10, so the third one is FALSE

The data is skewed since the median is not in the middle,so the fourth is TRUE and the fifth is FALSE

The sixth one is TRUE

The last one is FALSE.

Summirizing, we have

True

False

False

True

False

True

False

Answer:

I think the answer is x<2/7

Step-by-step explanation:

That's what i got.

Answer:

Step-by-step explanation:

x<2/7

Answer: m = 24

Step-by-step explanation:

The right side of the table is the x value, and the left side is the y value.

Pick two points, I will pick (1,35) and (3,83).

Once you pick the points, input them in the rise over run formula:

y2-y1/x2-x1

83-35/3-1 = 48/2 = 24

Answer:

B

Step-by-step explanation:

After 3 semesters Darnell and Emma have same number of credits as 40.

Given,

Current credit score of Darnell = 22

Current credit score of Emma = 4

Darnell plans to score a credit per semester = 6

Emma plans to score a credit per semester = 12

Now, we have to find that after how many semesters will Darnell and Emma have the same number of credits .

Here,

Current credit score of Darnell = 22

Current credit score of Emma  = 4

Credit score of Darnell = 22 + 6 = 28

Credit score of Emma = 4 + 12 = 16

Credit score of Darnell = 28 + 6 = 34

Credit score of Emma = 16 + 12 = 28

Credit score of Darnell = 34 + 6 = 40

Credit score of Emma = 28 + 12 = 40

That is,

After 3 semesters Darnell and Emma have same number of credits as 40

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Answer:

[tex]45120 in^2[/tex]

Step-by-step explanation:

Area of Taylor's Banner (AT): [tex]A_T = 8*564=4512 in^2[/tex]

Area of Emily's Banner (AE): [tex]A_E=10*A_T[/tex]

Plugging in AT: [tex]A_E = 10 * 4512 = 45120 in^2[/tex]

The Area of Emily's Banner is 45120 inch²

The Area of rectangle is the product of its length to its width.

i.e., Area of rectangle= length x width

Given:

Taylor’s banner : 8 inches tall and 564 inches wide.

Area of Taylor's Banner= l x w

                                       = 8 x 564

                                       = 4512 inch²

and, area of Emily’s banner is 10 times as large as the area of Taylor’s banner.

So, Area of Emil's Banner= 10 x 4512

                                          = 45120 inch²

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Answer: is 72 people to 27 animals

Step-by-step explanation:

I can find the ratio by cross multiplying

40/15 to x/27

15x = 1080

x = 72

you can also divide 40/15 for a ratio percent = 8/3

multiply 27 animals x 8/3 = 72

two ways to solve for ratios

√12

Explanation:

though it may not be a simplification,

2√3

can be shown as

√12

.

2=√4

In linear equation, $9.25, you can bowl a maximum of 3 games.  

What in mathematics is a linear equation?

If  it costs $2.50 to rent bowling shows and each game costs $2.25, then the total cost of playing x bowling games can be represented as

                         C = 2.50 + 2.50x

If you have a total of $9.25, then

                        9.25 = 2.50 + 2.25x

Subtracting 2.50 from both sides of the equation, we get

               9.25 - 2.50 = 2.50 + 2.25x - 2.25

                     6.75 = 2.25x

Dividing both sides of the equation by 2.25, we get

                   6.75/2.25 = 2.25x/2.25

                          x =  3

Therefore, with $9.25, you can bowl a maximum of 3 games.      

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SOLUTION

Let the first even integer be 'a'.

Let the second integer be (a + 2) since the second is a consecutive even integer.

Half of the smaller (i.e. a) is equal to two more than the larger (i.e. a + 2). In other words:

Evaluate for a

Simplify

Multiply all through by 2

Collect like terms

Hence, the smaller even integer is

The rate which the investment is compounded annually is 1.7%

Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

Compound interest is when you earn interest on both the money you've saved and the interest you earn.

The formula to calculate compound interest is given as

[tex]A = p(1 + \frac{r}{n})^n^t[/tex]

substituting the values into the equation and solve for rate at which the investment is compounded

[tex]A = p(1 + \frac{r}{n})^n^t\\6669 = 6130(1+ \frac{r}{1})^1^*^5\\ r = 1.7[/tex]

The rate of the investment is 1.7%

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Answer:

the value of x is 17

Step-by-step explanation:

7x-32+5x-27=9x-8{sum of 2 interior angles of a triangle is equal to the sum of exterior angle}

therefore x=17

Answer:

x = 17°

Step-by-step explanation:

Hello!

Angle KLM is an exterior angle of Triangle JKL. An exterior angle's measure is equal to the sum of the two remote interior angles.

The two remote interior angles are Angle K and Angle J. We can solve for x by setting up an equation: (7x - 32) + (5x - 27) = (9x - 8)

The value of x is 17°.

Using the percentage of guests choose one option for their dinner , the number of guest chose meat as their dinner option are 455.

As given in the question,

Options given for dinner :

Meat, Fish and Vegetarian

Percent of guest having

Meat in dinner = 65%

Vegetarian = 5%

Number of guest chose fish =210

Percent of guest chose fish = 100 -(65 +5)

                                            = 30%

Let x be the total number of guest

30% of x = 210

⇒ (30/100) × x = 210

⇒ x= (210 ×100) / 30

⇒ x = 700

Therefore, using the percentage of guests choose one option for their dinner ,the number of guest chose meat as their dinner option are 455.

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