What is twice the amount of 210

Answer:

Make the -4 exponent in the denominator positive.

Answer:

A fancy way of saying "solutions" of the equation

1) 3.25n

Overall cost of n gallons of gas

2)3.25n = 26

we are spending 26 dollars on 8 gallons of gas

3)40-3.25n

Ammount we have remaining after spending on n gallons of gas out of 40 dollars

4) 40-3.25n = 1.00

The maximum number of gallons of gas we can buy from 40 dollar is 13 gallons and 1 dollar is still remaining to us.

The given representations could be classified thus :

3.25n (Expression)

3.25n=26 (Equation)

40-3.25n (Expression)

40-3.25n=1.00 (Equation)

Total amount to spend = $40

Cost per gallon = $3.25

Number of gallons = n

An expression could be a variable, constant or a combination of both which is related by an operation symbol.

An equation on the other hand maybe defined as a relationship between two expressions linked by an equal to symbol.

Evaluating the representations given :

3.25n : This is an expression as it lacks an equal to sign connecting the expression. The expression means the cost of n gallons of gas.

3.25n = 26 : This is an equation as it contains two Seperate expressions connected by the equal to sign. The equation means that number of gallons of gas, n that can be purchased with $26.

40 - 3.25n : This is an expression. The amount left after purchasing n gallons from $40.

40 - 3.25n = 1.00 : This is an equation. The number of gallons of gas that can be purchased from $40 and still have $1 left.

Learn more : https://brainly.com/question/18109354

Answer:

Step-by-step explanation:

y = -1(x + 2)(x - 3)(x - 3)(x + 0)(x + 0)(x + 1)(x + 1)(x + 1)

The 8 degree polynomial for the given roots can be written as  p(x) =  x⁸ - x⁷- 12x⁶ - 4x⁵ + 30x⁴ + 51x³ + 18x².

The factor theorem states that for a polynomial p(x) if there exists a real number a such that p(a) = 0, then (x - a) is one of the factors of p(x).

The roots of the polynomial are given as follows,

Number of roots at -2 = 1

Number of roots at 3 = 2

Number of roots at 0 = 2

And, number of roots at -1 = 3.

Now, the polynomial can be written using factor theorem as,

p(x) = x²(x + 2)(x - 3)²(x + 1)³

      = x²(x + 2)(x²- 6x + 9)(x³ + 3x² + 3x + 1)

      = x⁸ - x⁷- 12x⁶ - 4x⁵ + 30x⁴ + 51x³ + 18x²

Hence, the polynomial for given roots can be written as p(x) =  x⁸ - x⁷- 12x⁶ - 4x⁵ + 30x⁴ + 51x³ + 18x².

To know more about factor theorem click on,

https://brainly.com/question/13547729

#SPJ2

The vertex form of the quadratic equations in standard form are, respectively:

Case 9: y = 2 · (x + 2)² - 12

Case 10: y = - (1 / 2) · (x + 3 / 4)² + 33 / 32

Case 11: y = 3 · (x - 4 / 3)² - 16 / 3

Case 12: y = - 3 · (x - 3)²

Case 13: y = (x - 4)² + 3

Case 14: y = (x - 1)² - 7

Case 15: y = (x + 3 / 2)² - 9 / 4

Case 16: 2 · (x + 1 / 4)² - 1 / 8

Case 17: y = 2 · (x - 3)² - 7

Case 18: y = - 2 · (x + 1)² + 10

In this problem we find ten cases of quadratic equation in standard form, whose vertex form can be found by a combination of algebra properties known as completing the square. Completing the square consists in simplifying a part of the quadratic equation into a power of a binomial.

The two forms are introduced below:

Standard form

y = a · x² + b · x + c

Where a, b, c are real coefficients.

Vertex form

y - k = C · (x - h)²

Where:

Now we proceed to determine the vertex form of each quadratic equation:

Case 9

y = 2 · x² + 4 · x - 4

y = 2 · (x² + 2 · x - 2)

y = 2 · (x² + 2 · x + 4) - 12

y = 2 · (x + 2)² - 12

Case 10

y = - (1 / 2) · x² - 3 · x + 3

y = - (1 / 2) · [x² + (3 / 2) · x - 3 / 2]

y = - (1 / 2) · [x² + (3 / 2) · x + 9 / 16] + (1 / 2) · (33 / 16)

y = - (1 / 2) · (x + 3 / 4)² + 33 / 32

Case 11

y = 3 · x² - 8 · x

y = 3 · [x² - (8 / 3) · x]

y = 3 · [x² - (8 / 3) · x + 16 / 9] - 3 · (16 / 9)

y = 3 · (x - 4 / 3)² - 16 / 3

Case 12

y = - 3 · x² + 18 · x - 27

y = - 3 · (x² - 6 · x + 9)

y = - 3 · (x - 3)²

Case 13

y = x² - 8 · x + 19

y = (x² - 8 · x + 16) + 3

y = (x - 4)² + 3

Case 14

y = x² - 2 · x - 6

y = (x² - 2 · x + 1) - 7

y = (x - 1)² - 7

Case 15

y = x² + 3 · x

y = (x² + 3 · x + 9 / 4) - 9 / 4

y = (x + 3 / 2)² - 9 / 4

Case 16

y = 2 · x² + x

y = 2 · [x² + (1 / 2) · x]

y = 2 · [x² + (1 / 2) · x + 1 / 16] - 2 · (1 / 16)

y = 2 · (x + 1 / 4)² - 1 / 8

Case 17

y = 2 · x² - 12 · x + 11

y = 2 · (x² - 6 · x + 9) - 2 · (7 / 2)

y = 2 · (x - 3)² - 7

Case 18

y = - 2 · x² - 4 · x + 8

y = - 2 · (x² + 2 · x - 4)

y = - 2 · (x² + 2 · x + 1) + 2 · 5

y = - 2 · (x + 1)² + 10

To learn more on quadratic equations in vertex form: https://brainly.com/question/29260906

#SPJ1

If the sample standard deviation is 8 and the sample size is 20 , then sample mean for the p value of 0.05 is 56.90   .

We first calculate the test statistic for the hypotheses which is ;

⇒ H₀ :μ=60 ; Hₐ :μ<60

The test statistic for this one-tailed t-test is calculated as :

⇒ t = (x - μ)/(s/√n) ;

where,  x is = sample mean, μ is = population mean, s is = sample standard deviation, and n is = sample size .

We have to find sample mean for  p-value of 0.05,

We need to find the t-value that corresponds to a cumulative probability of 0.05 with (20 - 1) = 19 degrees of freedom ,

The t-value ≈ -1.729  ;

Substituting this t-value, sample standard deviation of 8, and sample size of 20 in the formula for the test statistic,

We get  ;

⇒ -1.729 = (x - 60)/(8/√20) ;

Solving for x , we get ;

⇒ x = 56.90 ;

Therefore, the sample mean for which the p-value is 0.05 is 56.90   .

Learn more about P-Value here

https://brainly.com/question/29142761

#SPJ4

The given question is incomplete , the complete question is

You are given the following hypotheses:

H₀ :μ=60 ;

Hₐ :μ<60

We know that the sample standard deviation is 8 and the sample size is 20.

For what sample mean would the p-value be equal to 0.05 ? Assume that all conditions necessary for inference are satisfied.

Answer:

See below

Step-by-step explanation:

Zeroes:

\(f(x)=\frac{2x^2+x-6}{x-1}\)

\(0=\frac{2x^2+x-6}{x-1}\)

\(0=2x^2+x-6\)

\(0=(2x-3)(x+2)\)

\(x=\frac{3}{2},-2\)

Vertical and Horizontal Asymptotes:

\(x\neq 1\) is excluded from the domain, therefore, there's a vertical asymptote at \(x=1\)

No horizontal asymptotes as the degree of the numerator is greater than the degree of the denominator by 1.

Oblique (Slant) Asymptote:

\(f(x)=\frac{2x^2+x-6}{x-1}=2x+3,R(-3)\), so the oblique/slant asymptote is \(y=2x+3\)

Answer:its 30 ft

Step-by-step explanation:

easyyy

Answer:

10 is the answer

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

120 because 20% of the 150 balls is 30 or right so forth the football is a subtract the 150 from the 30 which gives you 120

Note that as x gets larger, y gets smaller, but the product xy remains constant at 192.

In mathematics, a function is a relationship between two sets, called the domain and the range, such that each element of the domain corresponds to exactly one element of the range. A function takes an input value (or values) and produces an output value (or values) according to a specific rule or formula. The input values are the domain of the function, and the output values are the range of the function. Functions can be represented using equations, graphs, tables, or verbal descriptions. They are used to model relationships between variables in various fields of mathematics, science, engineering, economics, and many other areas.

Here,

If x and y vary inversely, this means that their product is a constant. We can use this fact to find the constant of proportionality k as follows:

k = xy

If we know that y is 24 when x is 8, we can substitute these values into the equation above to solve for k:

k = xy

= 8(24)

= 192

Now we can use this value of k to write the inverse variation function:

xy = 192

or

y = 192/x

To sketch a graph of this function for x > 0, we can plot a few points and connect them with a smooth curve. Here are some points we can use:

(x, y)

(1, 192)

(2, 96)

(4, 48)

(8, 24)

(16, 12)

(24, 8)

To know more about function,

https://brainly.com/question/28193995

#SPJ1

Answer:5:55pm

Step-by-step explanation:

7:30-0:20=7:10-1:00=6:10-0:15=5:55pm

Answer:

Option (D)

Step-by-step explanation:

In the picture attached,

An obtuse angle triangle ABC has been given.

By applying Sine rule in the triangle,

\(\frac{\text{SinB}}{b}=\frac{\text{SinA}}{a}=\frac{\text{SinC}}{c}\)

Since, m∠A + m∠B + m∠C = 180°

45° + 110° + m∠C = 180°

m∠C = 180°- 155° = 25°

\(\frac{\text{Sin110}}{b}=\frac{\text{Sin45}}{a}=\frac{\text{Sin25}}{7}\)

\(\frac{\text{Sin110}}{b}=\frac{\text{Sin45}}{a}=0.060374\)

\(\frac{\text{Sin110}}{b}=0.060374\)

b = \(\frac{\text{Sin110}}{0.060374}\)

b = 15.56

b ≈ 15.56

\(\frac{\text{Sin45}}{a}=0.060374\)

a = \(\frac{\text{Sin45}}{0.060374}\)

a = 11.712

a = 11.71

Therefore, Option (D) will be the answer.

Karma will make $0.22  if she sells the entire rice to the vendor

Karma has 110 pounds of rice

A vendor offers to buy 5 grams at $0.01

The amount that will be realized after selling 110 pounds can be calculated as follows

0.01= 5

x= 1

cross multiply

x= 0.01/5

= 0.002

0.002 × 110

= 0.22

Hence Karma will make $0.22

Read more here

https://brainly.com/question/8592598?referrer=searchResults

#SPJ1

In a hypothetical situation, an incorrect dosage calculation due to an error in metric system to Imperial System conversion could lead to potential harm to the patient. To avoid such errors, it is crucial to ensure accurate and precise conversions between the metric and Imperial systems. As a nurse, I will double-check my calculations, use reliable conversion charts or tools, and consult with colleagues or supervisors when in doubt. Additionally, ongoing education and training on dosage calculations and metric system conversions will be important to maintain proficiency and prevent errors in the future.

~~~Harsha~~~

Answer:

19%

Step-by-step explanation:

Bottles manufactured in march = 4100×107% = 4387 bottles

bottles manufactured in April= 4387+500 = 4887 bottles

difference in bottles from Feb to April= 4887-4100 =787 bottles

percentage increase from Feb to April= (787/4100)×100 = 19.2%

rounded off= 19%

Answer:

the slope is 1/2

Step-by-step explanation:

We can just use the formula to get the slope

y1-y2 / x1-x2

Fit in both points to get:

3-5 / -2-2

Then, simple algebra gets us:

-2/-4

Simplifying the fraction gives us : 1/2 as the slope

The Value of x is 2/3.

The value of x, we need to determine the mean of the given values and set it equal to the expression for the mean.

The mean (average) is calculated by adding up all the values and dividing by the number of values. In this case, we have five values: x, x+3, x-5, 2x, and 3x.

Mean = (x + x+3 + x-5 + 2x + 3x) / 5

Next, we simplify the expression:

Mean = (5x - 2 + 3x) / 5

Mean = (8x - 2) / 5

We are given that the mean is also equal to x:

Mean = x

Setting these two expressions equal to each other, we have:

(x) = (8x - 2) / 5

To solve for x, we can cross-multiply:

5x = 8x - 2

Bringing all the x terms to one side of the equation and the constant terms to the other side:

5x - 8x = -2

-3x = -2

Dividing both sides by -3:

x = -2 / -3

Simplifying, we get:

x = 2/3

Therefore, the value of x is 2/3.

For more questions on Value.

https://brainly.com/question/843074

#SPJ8

Answer:

Step-by-step explanation:

Answer:

You must walk 3/8 miles more farther (in simplest form).

Answer:  A  129

Step-by-step explanation:

Because the 2 chords are the same (lines in the circle), the 2 arcs are the same  create an equation that makes them equal

3x+24 = 4x -11             >bring x to one side by subtracting both sides by 3x

24 = x -11                     > add both sides by 11

35 = x

Now that we have solved for x you need to plug that back into the equation for BC

BC= 4x-11

BC = 4(35) - 11

BC =  140 - 11

BC = 129                   >A

Answer:

Step-by-step explanation:

The distance between two points can be found by using the formula

\(d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\\)

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-7, -2) and (11,3).

The distance between them is

\(d = \sqrt{( { - 7 - 11})^{2} + ({ - 2 - 3})^{2} } \\ = \sqrt{ ({ - 18})^{2} + ( { - 5})^{2} } \\ = \sqrt{324 + 25} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = \sqrt{349} \: \: \: \: \: \: \: \: \\ = 18.681541692... \: \: \: \: \: \)

We have the final answer as

Hope this helps you

Answer:

68

Step-by-step explanation:

The correct answer is C. It is the graph of f(x) translated 11 units to the left.

The correct answer is:

C. It is the graph of f(x) translated 11 units to the left.

When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.

In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.

The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.

Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.

for more such question on graph visit

https://brainly.com/question/19040584

#SPJ8

Answer:

see below and attachment

Step-by-step explanation:

a=30°

because, the marked angle of 30° is an alternate interior angle to angle a.  Alternate interior angles are congruent, and we know they are congruent because the 2 horizontal lines are parallel.

b=50°

because the marked angle of 50° is a vertical angle to angle b.  Vertical angles are congruent because 2 lines that intersect have opposite congruent angles, making them vertical angles to each other.

c=50°

because the marked angle of 50° is a corresponding angle (same side angle) to angle c.  These corresponding angles are congruent because the 2 horizontal lines are parallel.

d=100°

because the 3 interior angles of a triangle must add up to 180°.  We have 30°, 50°, so the last angle must be 100°.  We can also figure this out because the bottom horizontal line is a straight line, meaning the angle is also 180°.  We have angle a as 30°, angle c as 50°, so angle d must be 100°.

Hope this helps!  See attachment for visual.

Answer:

y = x + 2

Step-by-step explanation:

Choose any two points from the graph

(0, 2) ;  (-2 , 0)

Slope = \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\)

         \(= \frac{0-2}{-2-0}\\\\= \frac{-2}{-2}\\\\= 1\)

y - intercept = 2    

y = mx + b              {m = 1 and b = 2}

y = x + 2

Answer:

The student's work is incorrect because the student didn't distribute all through with -6.

Step-by-step explanation:

Let us expand the given expression to see whether the student made a mistake or not, and where the mistake was made, if there was any.

\( -6(4x - \frac{2}{13}) \)

To expand, distribute -6

\( -6(4x) - 6(-\frac{2}{13}) \) (check the work of the student at this step. This is where the student made a mistake. The student used +6 to multiply the 2nd term in the bracket instead of -6)

\( -24x + \frac{12}{13}) \) (negative multiply by negative equals positive).

The work of the student is incorrect because the student didn't distribute -6 all through. The student used -6 for the first term, and also used +6 for the second term in the parentheses.

Answer:

$ 3.45

Step-by-step explanation:

$

7.59

is amount paid for  

2.2

pounds ground turkey

$

x

is amount paid for  

1

pound of ground turkey

Answer:

3.45$ per pound of turkey

Step-by-step explanation:

if we express it as a ratio 2.2: 7.57,we can divide both sides by 2.2 which would give is 1: 3.45

Hope it helps?