Graph the line with the equation y=1/5x-2

MATHEMATICALLY 10 LESS THAN 73 MEANS:

WHAT IS THE DIFFERENCE BETWEEN 10 AND 73

[tex]73 - 10 \\ = 63[/tex]

ATTACHED IS THE SOLUTION

Answer:

o is the correct answer of this question

we have that

steps

Divide the tens column dividend by the divisor

Multiply the divisor by the quotient in the tens place column

Subtract the product from the divisor

Bring down the dividend in the ones column and repeat

therefore

divide, multiply, subtract, bring down and repeat or find the remainder

The slope of the line that is shown in the diagram above is calculated as: 2.

To find the slope of a line, m, use the formula given below:

Using two points on the given line, (0, 1) and (-1, -1), find the slope of the line:

Let,

(0, 1) = (x1, y1)

(-1, -1) = (x2, y2)

Slope (m) = change in y / change in x = (-1 - 1) / (-1 - 0)

Slope (m) = -2/-1

Slope (m) = 2

Therefore, the line that is shown in the diagram above has a slope that is determined as: 2.

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Answer:

Alan travelled 8 miles in total 

with the cut of money for pickup which is 5$and 3$ for every mile

 as 3×8=24

and remaing 5 for picup

Step-by-step explanation:

hope this helps

The equation that represents the situation is, 3d +5 = n and if the fare is $29 then Alan traveled 8 miles.

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Given:

Alan takes a taxi at the rate of $3 per mile.

The taxi company charges an additional pickup fee of $5.

So,

the equation that represents the situation is,

3d +5 = n

To solve for the number of miles Alan traveled:

The fare was $29

3d +5 = 29

3d = 24

d = 8

Therefore, he traveled 8 miles.

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Answer:8.00347847

Step-by-step explanation:

y= 8.00347847 i think, we use SIN, because we are given the opposite and hypotonuse. sin(61)=7/y which equals 8.00347847. Don't quote me on it though i havent done geometry in a while

Using the distance formula, the length of the line between the two given points is: 5.8 units.

To find the length of the line between two endpoints, the distance formula that is used is:

d = [tex]\sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex].

Given the points:

C(-5, 6) = (x1, y1)

D(-2, 1) = (x2, y2)

Plug in the values

CD = √[(−2−(−5))² + (1−6)²]

CD = √[(3)² + (−5)²]

CD = √(9 + 25)

CD = √34

CD ≈ 5.8 units

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Answer:

Total Profit = $48.61

Step-by-step explanation:

Given:

⇒ Total Income = Number of children × pay per child

⇒ Total Income = 14 × $4.25

⇒ Total Income = $59.50

Given:

⇒ Total Profit = Total Income less Total Expenses

⇒ Total Profit = $59.50 - $10.89

⇒ Total Profit = $48.61

The exact volume of the sphere that has a radius of 7 inches, in terms of π , is: 1,372/3 π cubic inches.

A sphere is round in shape and can be described as a three dimensional solid shape that has a center that is equidistant from any point on its surface.

Given that a sphere has a radius that is represented as r, the formula to find the volume of the sphere is:

Volume of sphere = (4/3) × π × r³

Given the parameters:

Radius of the sphere = 7 inches

Plug in the value

Volume of the sphere = (4/3) × π × (7³)

Volume of the sphere = (4/3) × π × 343

Volume of the sphere = 1,372/3 × π

Volume of the sphere = 1,372/3 π cubic inches.

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The most appropriate choice for division will be given by -

48000 ÷ 800 = 60

What is division?

Division is used to obtain the value of single unit from a value of multiple unit. The number which is divided is called dividend and the number by which the dividend is divided is the divisor, the result obtained is the quotient and the remaining part is the remainder.

There is a well known formula in division

Divisor [tex]\times[/tex] Quotient + Remainder = Dividend

Here

48000 ÷ 800

At first the numbers are being divided

48 ÷ 8 = 6

Now, From three zeroes, two zeroes will get cancelled

So one zero will remain.

So the correct answer is 60

48000 ÷ 800 = 60

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Explanation:

Add up the three given numbers to get 184+232+272 = 688 people total.

Let's see if 9 is a factor of 688

688/9 = 76.44 approximately which shows 9 is not a factor of 688, and we cannot have teams of 9.

Now let's see if 8 is a factor of 688

688/8 = 86

Therefore, the largest team size is 8 and there would be 86 teams.

The equation for the perpendicular bisector of the line segment will be;

⇒ y = -2x - 1

What is Equation of line?

The equation of line with slope m and y intercept at point b is given as;

y = mx + b

Given that;

The endpoints of the line segments are  (−9,−3) and (7, 5).

Now,

Let the equation of line be;

y = mx + b

We can substitute values of two points for the value of m and b;

We get;

- 3 = - 9m + b ... (i)

5 = 7m + b  ... (ii)

Solve both equation for m and b as;

Subtract (i) from (ii) we get;

8 = 16m

m = 1/2

And, 5 = 7 x 1/2 + b

b = 5 - 7/2

b = 3/2

So, The equation of line with two points is;

y = 1/2 x + 3/2

Since, Two lines which are perpendicular to each other have slope that are inverse to each other.

Hence, Slope of the perpendicular line is;

m₁ = - (2)

m₁ = -2

Hence, The equation of line will be;

y = -2x + b'

Where, b' is new y - intercept for perpendicular line.

Since, Perpendicular line bisect the first line, so we can find the midpoint of the line segment as;

Midpoint = (- 9 + 7 / 2 , - 3 + 5/2)

Midpoint = (-1, 1)

So, Midpoint of the line segment lie on the perpendicular line so we can substitute the value of midpoint to get the b' as;

y = - 2x + b'

1 = - 2 × -1 + b'

1 = 2 + b'

b'= 1 - 2

b' = -1

Thus, The equation of line for the perpendicular bisector of the line segment whose endpoints are (−9,−3) and (7,5) will be;

⇒ y = -2x - 1

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The correct answer is option B that is polynomial h(x) = (x - 3)³(x² - 2x + 2).

A polynomial may be defined as an expression containing variables and their coefficients along with powers of the variables. A polynomial having 5 zeroes will be called a fifth-degree polynomial that can be represented as ax⁵ + bx⁴ + cx³ + dx² + ex + f = 0 where a, b, c, d, e and f are coefficients and x is the independent variable. It is given that the polynomial has 3 real zeroes and 2 imaginary zeroes. If we take the polynomial h(x) = (x - 3)³(x² - 2x + 2) we see that the first term (x - 3)³ when equated to zero gives three real zeroes equal to 3. Now, in the second term that is (x² - 2x + 2), if we equate this to zero then the value of discriminant that is b² - 4ac = 4 - 8 = -4 is negative so this term will have two imaginary roots. So, this function h(x) = (x - 3)³(x² - 2x + 2) is the required polynomial.

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A = P ( 1 + r )^t

Given A = $2000 , r = 3% = 0.03

so, after 2 years t = 2

A = 2000 * ( 1 + 0.03)^2 = $2,121.8

so, the total after 2 years = $2,121.8

==============================================================

How much money should be invested today to accumulate to $10,000 in 10 years at 4.5% compounded monthly? (Simplify your answer. Round to the nearest cent as needed)

so, A = $10,000

r = 4.5% = 0.045

t = 10 years = 10 * 12 = 120 months

So, A = P (1 + r/n)^t ,,, n = 12

10,000 = P ( 1 + 0.045/12)^120

10,000 = P * 1.567

P = 10,000/1.567 = 6,381.65 ( to the nearest cent )

so, the money should be invested = $6,381.65

Answer:

Step-by-step explanation:

sacramento

fresno

madera

bakersfield

Hope this helped!

Answer:

166 miles

Step-by-step explanation:

You can logic it out: Greg paid 168.68, but 20.95 of that was a fee.

168.69 - 20.95 is 147.74.

147.74 is the total of the per mile charges.

147.74 ÷ .89 = 166

He travelled 166 miles. (166×.89 is 147.74)

OR, do algebra (you will find these are all the same calculations... because algebra is supposed to model real life)

Let C = Greg's total cost.

Let m = number of miles travelled.

Cost is .89 per mile times the number of miles plus the base fee. In algebra this is:

C = .89m + 20.95

Substitute 168.69 for C, Greg's total cost.

168.69=.89m+20.95

Subtract 20.95

147.74 = .89m

Divide by .89

166 = m

Greg drove 166 miles.

The amount that the item actually cost you after the discount is $28.

A discount simply means the amount that's is less off from a product.

The following information can be deduced:

Cost of item = $40

Sales off = 30%

The cost of the item will be:

= Cost - Discount

= $40 - (30% × $40)

= $40 - $12

= $28

The cost is $28.

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Zoe consumes four cups of nuts. For one brownie, she uses two thirds of a cup of nuts. She can make 6 brownie's with 4 cups of nuts.

Given that,

Zoe consumes four cups of nuts. For one brownie, she uses two thirds of a cup of nuts.

We have to find four cups of nuts may be used to make how many brownies.

We have 4 cups of nuts.

With 2/3 cup of nuts she made a brownie.

Take brownie as x

1x=2/3

x=2/3

Then,

We can write as

2/3x=4

x=4/(2/3)

x=(4×3)/2

x=12/2

x=6

Therefore, She can make 6 brownie's with 4 cups of nuts.

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The circle given has an area of 588 in

The area of a circle is π multiplied by the square of the radius. The area of a circle(A) when the radius 'r' is given is πr2.

We can also use diameter of a circle to find the area of a circle. The formula for that would be.

[tex]A = \pi \frac{d^2}{4}[/tex]

In the given question;

The area of the circle can be solved by substituting the values into the formula.

[tex]A = \pi r^2\\A = 3 * 14^2\\A = 588in[/tex]

The area of the circle is 588in

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given,

pi value=3

radius= 14

we know,

area of a circle (A) = πr²

= 3×14×14

= 588 cm²

After solving for y we get the answer as 1.

Given, the expression is -(-10+7y)+6y=9

first open the brackets by multiplying it with '-' sign.

-(-10+7y)+6y=9

⇒ 10-7y+6y = 9

subtract the variable y.

⇒ 10 -y = 9

arrange the constants to one side.

⇒ -y = 9 -10

subtract the constants.

⇒ -y = -1

cancel the '-' sign.

⇒ y = 1

Hence the value of y is 1.

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30 × 100 = 3,000, 30 × 10³ = 30,000 and 30 × 1000 = 30000. Therefore, options A, B, C and D are the correct answers.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

A) 30 × 100 = 3,000

Here, LHS = RHS

B) 30 × 10³ = 30,000

Here, LHS = RHS

C) 30 × 1000 = 30000

Here, LHS = RHS

D) [tex]30 \times 10^4 = 3000[/tex]

30 × 10000 = 300,000

Here, LHS ≠ RHS

E) 30 × 10000 = 30,000

= 300,000

Here, LHS ≠ RHS

Therefore, options A, B, C and D are the correct answers.

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Answer: 42

Step-by-step explanation: 672/16 is 42

Answer:

trey and his friends can share 2.4 oz of applesauce in a 12 oz jar

Step-by-step explanation:

12÷5=2.4

If trey and his four friends equally share a 12 ounce jar of apple sauce.  The [tex]2\frac{2}{5}[/tex] applesauce, in ounces, does each person receive

A division is a process of splitting a specific amount into equal parts.

Given,

trey and his four friends equally share a 12 ounce jar of apple sauce

We need to find how many ounces does each of them receives.

The number of persons including with trey are five.

We need to divide 12 ounce jar of apple sauce among five.

We just need to divide 12 by 5.

12/5

In mixed fraction we can write as  [tex]2\frac{2}{5}[/tex]

Hence [tex]2\frac{2}{5}[/tex]  ounces of apple juice , does each person receive.

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The coordinates of the middle point M is found as  (-7,0) of the line segment AB.

For the given question;

The two coordinates of the points are given ;

A( -4,4) = (x₁, y₁)

B (-10,-4) = (x₂, y₂)

The middle point M of this line segment is found as;

M(x, y) = (x₁ + x₂)/2 , (y₁ + y₂)/2

Put the values in the formula;

M(x, y) = (-4 - 10)/2 , (4 - 4)/2

M(x, y) = (-14)/2 , 0

M(x, y) = (-7,0)

Thus, the coordinates of the middle point M is found as  (-7,0).

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The sum of all three angles is 180°. So, x equals 14.5

What is an angle?

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are on the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles. The angle formed by the rays lying perpendicular to the two crossing curves at the point of junction is another property of intersecting curves. Angle can also refer to the length of a rotation or an angle. The arc is centered at the vertex and defined by the sides in the case of a geometric angle.

Given two sides of the triangle are equal, so the two angles will also be equal.

And from the angle sum property of the triangle, we get

2(4x - 13) + 90 = 180

or, 8x - 26 =180 - 90

or, 8x = 90 + 26

or, 8x = 116

or, x = 116/8 = 14.5

And the angle is 4(14.5) - 13 = 58 - 13 = 45°

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Answer:

area = 7.5 in^2

Step-by-step explanation:

area of a triangle equation: 1/2bh

b = 3

h = 5

area = 1/2(3)(5)

area = 7.5

Hence, the Standard deviation, sigma is 2, and Variance =4.

What is the sample size?

Given a sample of size 20.

N=20

(i) Mean= sum of terms/no. of terms

=456/20

Mean = 22.8

(ii) Median = Sum of middle numbers/2

20 and 21 are the middle numbers

= 20+21/2

Median =20.5

(iii) Variance=(xi-mean)^2/N-1

787.2/19

variance=41.431

(iv) Sum of squares=xi-xbar-Xi)^2

=32

(v) variance and standard deviation(population)

sigma^2=(xi-mu)^2/N

=32/8

sigma=2

Hence, the Standard deviation, sigma is 2, and Variance =4.

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