Is 7 an algebraic expression?

Answer:

-8[tex]x^{3}[/tex] + 10[tex]x^{2}[/tex] + 6x

Step-by-step explanation:

The space dedicated to growing beans is 4 ft.

"AB || CD" and "CD || EF" mean that lines AB and CD are parallel and lines CD and EF are parallel as well. Since lines AB and EF are parallel and the length of line CD is 6 ft, the length of line AB and line EF is also 6 ft.

From the information given, we can see that the space dedicated to growing beans is the distance between lines CD and EF.

We also know that the space dedicated to growing beets is 3ft, and the space dedicated to growing celery is 2ft.

Therefore, we can subtract 3ft + 2ft from 6ft to find the space dedicated to growing beans: 6ft - 3ft - 2ft = 4ft.

So the answer is 4ft.

Therefore, The space dedicated to growing beans is 4 ft.

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Answer: 30 days

Explanation: 12 x 20 = k, where k is a constant. 8x = k, where x is the number of days. So 12 x 20 = 8x, 8x = 240, x = 30 (30 days).

a)The prior probability of the bid being successful is 50%.

b) The conditional probability is 71%.

c) The posterior probability is 64.55%.

a) Prior Probability = P(B)

                                [tex]= \frac{Number of favourable outcomes for n event}{Total number of outcomes}[/tex]

                               = [tex]\frac{1}{2}[/tex]

                              = 0.5 = 50%

b) Conditional probability of a request for additional information given that the bid will ultimately be successful.

Conditional Probability = P(A|B)

                                      = [tex]\frac{71}{100}[/tex]

                                      = 0.71  = 71%

c) Posterior probability that the bid will be successful given a request for additional information.

P(B)=0.5

P(A|B)  = 0.71

P(A) = P(B)P(AB) + P(B')P(AB)

P(A) = (0.5 * 0.71) + (0.5 * 0.39)

P(A)  = 0.335 + 0.195

P(A)    = 0.550

Posterior Probability = P(B|A)

                                  [tex]= \frac{P(B) * P(B|A)}{P(A)}[/tex]  

                                 [tex]= \frac{0.5 * 0.71}{0.550}[/tex] = 0.6455 = 64.55%

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a) Find out the prior probability.

The complete question is:

A consulting firm submitted a bid for a large research project. The firm's management initially felt they had a 50-50 chance of getting the project. However, the agency to which the bid was submitted subsequently requested additional information on the bid. Past experience indicates that for 71% of the successful bids and 39% of the unsuccessful bids, the agency requested additional information.

a) What is the prior probability of the bid being successful (that is, prior to the request for additional information) (in decimals)?

b) What is the conditional probability of a request for additional information given that the bid will ultimately be successful (in decimals)?

c) Compute the posterior probability that the bid will be successful given a request for additional information (in decimals).

Log x is calculated by taking the logarithm of x, usually with base 10, which is written as log10(x). This is done by using a calculator or a computer program.

1. Choose a base for your logarithm, usually base 10.

2. Type in the equation log10(x) into the calculator or computer program.

3. Enter the number x into the equation in place of the variable.

4. Hit the “enter” or “calculate” button to find the logarithm of x.

Log x is calculated by taking the logarithm of x, usually with base 10, which is written as log10(x). This is done by using a calculator or a computer program.

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45 feet is the height of the real dinosaur.

The ratio between a distance on a map and its actual distance on the ground is known as the map's scale. Since scale must vary throughout a map due to the curvature of the Earth's surface, this straightforward idea is made more difficult. This change makes the idea of size significant in two different ways.

Given, A model dinosaur is 6 feet tall. The scale used to make the model is 1 ft. = 7.5 ft.

Since the scale is 1 ft. = 7.5 ft

That means in the model 1 foot is equal to the real size of 7.5 feet

thus,

Real dinosaur's height = 6 * 7.5

Real dinosaur's height = 45 feet

Therefore, the Height of the real dinosaur is 45 feet.

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The slope-intercept equation of the line below is C. y = 4/5x-2.

Slope-intercept equation is a linear equation in the form of y = mx + b, where m is the slope of the line and b is the y-intercept. It can be used to graph a line on a two-dimensional plane, and is used to calculate the rate of change (rise/run) between two points on the graph.

This slope-intercept equation can be determined by analyzing the given line. By looking at the graph, we can see that the slope of the line is 4/5, which means that the coefficient of x in the equation is 4/5. Additionally, the y-intercept is at -2, so the equation is y = 4/5x-2.

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When the parent graph of the equation, y = √x is changed to y = -√x + 1, the following statements are true:

B. shift down one unit.

C. reflect over the x-axis.

In Mathematics, the translation a geometric figure or graph downward simply means subtracting a digit from the value on the y-coordinate (y-axis) of the pre-image or function.

Next, we would translate the parent graph of the equation down by one unit;

y = √x - (k)

y = √x - (-1)

y = √x + 1

In Geometry, a reflection over the x-axis is given by this transformation rule (x, y) → (x, -y). This ultimately implies that, a reflection over the x-axis would maintain the same x-coordinate while the sign of the y-coordinate changes from positive to negative or negative to positive.

Lastly, we would apply a reflection over the y-axis;

(x, y)     →     (x, -y)

y = -(√x + 1)

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Answer: 3 11/16 pounds

Step-by-step explanation:

7 1/2 - 1 5/8 - 2 3/16 = 4 1/2 - 5/8 - 3/16 = 4 8/16 - 10/16 - 3/16 = 72/16 - 13/16 = 59/16 pounds = 3 11/16 pounds

The answer to the polynomial x^2 + 9x + 20 is x^2 + 9x + 20.

This is a second-degree polynomial, which is a polynomial with the highest power of the variable being 2. It is written in the standard form as ax^2 + bx + c, where a, b, and c are coefficients, and x is a variable. In this case, a = 1, b = 9, and c = 20.

To calculate this polynomial , we first substitute each value into the formula:

1x^2 + 9x + 20

Next, we multiply each coefficient with its corresponding variable:

1(x^2) + 9(x) + 20

Finally, we expand the terms and add them together to find the sum:

x^2 + 9x + 20

The answer to the polynomial x^2 + 9x + 20 is x^2 + 9x + 20.

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To graph natural log equations, first find the y-intercept for the equation. Then, find any asymptotes or solutions by setting the equation equal to 0. Next, find the domain and range and plot any points that it intersects with. Finally, draw the graph of the equation.

1. Find the y-intercept: Set the equation equal to 0 and solve for y.

2. Find any asymptotes or solutions: Set the equation equal to 0 and solve for x.

3. Find the domain and range: The domain is all real numbers and the range is all real numbers greater than or equal to the y-intercept.

4. Plot any points of intersection: Use the values found in step 2 to plot points on the graph.

5. Draw the graph: Connect the points to form a continuous line.

To graph natural log equations, first find the y-intercept for the equation. Then, find any asymptotes or solutions by setting the equation equal to 0. Next, find the domain and range and plot any points that it intersects with. Finally, draw the graph of the equation.

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To draw the line y=-2 on a graph, you'll need to plot the points (x, y) where x is the value of x and y=-2 is the value of y.

For example, if x is -1, then the point will be (-1, -2). You can plot the points and then draw a line connecting them to see the graph of y=-2.

Graphs are an important tool for evaluating equations, as they allow you to visualize the relationship between two variables. By plotting points on a graph, you can see how the variables interact with each other and can also identify any points of intersection.

Graphs can also be used to identify the range of values for which the equation is valid and the range of values for which it is not. Graphs are a useful tool for understanding equations and can help you make more informed decisions when evaluating them.

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Answer: 4s place

Also could you mark my answer as brainliest? It helps and doesnt hurt

If no two elements in the domain of f correspond to the same element in the range of f, then a function f is 1 to 1.

To put it another way, there is only one image in the range for each x in the domain. Additionally, there is no y in the domain that is the image of more than one x. It is simple to determine whether a function is one-to-one if the graph of the function f is known. The Horizontal Line Test is a good one. The function is 1 -to-1 if no horizontal line intersects the graph of the function f at more than one point.

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The range of the given function is:

Function  [tex]x^-^1[/tex] may take any real number hence it's range is all real numbers.

Now, According to the question:

What is Range?

The given function is :

f(x) = [tex]x^-^1[/tex]

The range of the given function is:

Function  [tex]x^-^1[/tex] may take any real number hence it's range is all real numbers.

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Answer:x=-4/3

Step-by-step explanation:

[tex] - x + 5 = 2x + 9[/tex]

[tex] - x - 2x = 9 - 5[/tex]

[tex] - 3x = 4[/tex]

[tex]x = - \frac{4}{3} \\ [/tex]

Answer:

the answer is in the picture

Answer:

Circumcenter

Step-by-step explanation:

The locus of points equidistant from two points is the perpendicular bisector of the line segment connecting the points. The circumcenter is the point of concurrency of the three perpendicular bisectors of the sides of a triangle.

(a) The ratio of their radii is 2 : 3.

(b) The radius of the larger one is 18cm.

What is the area of a circle?

A circle's area is the area that it takes up in a two-dimensional plane. It can be simply calculated using the formula A = πr2, (Pi r-squared), where r is the circle's radius. The square unit, such as m2, cm2, etc., is the unit of area.

Here, we have

Given: the ratio of the area of two circles is 4/9.

We let the radius of the smaller circle be r and the radius of the larger circle be R.

Then compare the areas of the two circles with the ratio given.

(a) πr²/πR² = 4/9

r²/R² = 4/9

r/R = 2/3

Hence, the ratio of their radii is 2 : 3.

(b) r is the smaller circle

r = 12 cm

r/R = 2/3

12/R = 2/3

R = 18cm.

Hence, the radius of the larger one is 18cm.

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The following are the measures of the vertical angles:

m∠ABD = m∠CBE {vertical angles}

(5x - 60)° = (x + 20)°

(5x - x)° = 20° + 60°

4x = 80°

x = 80°/4 {divide through by 4}

x = 20°

so;

m∠ABD = 5(20) - 60 = 40°

m∠DBE + m∠ABD = 180° {supplementary angles}

m∠DBE + 40° = 180°

m∠DBE = 180° - 40° {subtract 40° from both sides}

m∠DBE = 140°

m∠ABC + m∠CBD = 180° {supplementary angles}

(4x - 2)° + (20x - 10)° = 180° {collect like terms}

24x - 12 = 180°

x = (180° - 12)/24 {make x the subject}

x = 8

so;

m∠ABC = 4(8) - 2 = 30°

m∠EBD = m∠ABC {vertical angles}

so;

m∠EBD = 30°

m∠ABC + m∠CBD + m∠EBD = 180° {supplementary angles}

(50 - x)° + 80° + (2x + 40)° = 180° {collect like terms}

x + 170° = 180°

x = 180° - 170° {subtract 170° from both sides}

x = 10°

so;

m∠ABC = 50° - 10° = 40°

m∠ABE + m∠EBD = 180° {supplementary angles}

(9x - 9)° + (3x + 9)° = 180° {collect like terms}

12x = 180° {divide through by 12}

x = 180°/12

x = 15

so;

m∠EBD = 3(15) + 9 = 54°

m∠ABC = m∠EBD {vertical angles}

m∠ABC = 54°

Therefore, the vertical angles m∠DBE, m∠EBD, m∠ABC, and m∠ABC have the measures 140°, 30°, 40°, and 54° respectively.

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Answer:   I'm pretty sure the the answer is B I had a question like this and my answer was b

Step-by-step explanation: if not I am soo sorry

Answer:

x-5(x-1)=x(-2x3)

x-5x+5=-5x

-4x+5=-5x

-4x+5-5=-5x-5

-4x+5x=-5x+5x-5

Step-by-step explanation:

Answer: y=4-1/2x

Step-by-step explanation:

Y int is 4, negative slope, and going down one right two.

The width of rectangle is 10 units.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Perimeter of rectangle = 116 units

let the width be x.

then the length is 5x - 2.

so, Perimeter of rectangle = 116 units

2 (5x -2 + x)= 116

2(6x - 2) = 116

6x - 2 = 58

6x = 60

x= 10

So, the width is 10 units and length is 5(10)-2 = 48 units

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simplifying yields 1/2 * x + 4 = 12. In order to achieve 1/2 * x = 8, take 4 off of both sides of the equation. To obtain x = 16, solve for x. 16 dollars were her weekly salary.

Equivalent equations are algebraic equations that are having identical roots or solutions.

x equals a weekly stipend.

Mini-golf is where she spends half her time.

She paid her parents four bucks to wash the car.

Her final earnings were $12.

x - 1/2 * x + 4 = 12

simplifying yields 1/2 * x + 4 = 12.

In order to achieve 1/2 * x = 8, take 4 off of both sides of the equation.

To obtain x = 16, solve for x.

16 dollars were her weekly salary.

Eight were left after she spent half on mini-golf.

She had four from her folks to wash the car.

After everything, she was left with 12.

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55 miles per hour is equivalent to 24.6992 meters per second.

Translate milles to meter / second?

To convert miles per hour (mph) to meters per second (m/s), you can use the conversion factor 1 mile = 1609.34 meters.

To convert miles per hour (mph) to meters per second (m/s), you can use the conversion factor 1 mph = 0.44704 m/s.

So to convert 55 mph to m/s, you can multiply 55 by 0.44704:

55 mph * 0.44704 m/s/mph = 24.6992 m/s

Therefore, 55 miles per hour is equivalent to 24.6992 meters per second.

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Ricardo has to save for a minimum of 44 weeks.

For the salary earner, the way of savings is the way that he or she may be able to achieve the gals of life. In the case of the question that we have here, at his current job, he makes $1,000 per week, and spends $300 each week on his expenses.

The target amount that he wants to save is  $30,800.

Total income per week = $1,000

Expenses per week = $300

Amount saved per week = $700

To save  $30,800;

700n =  $30,800

n = Number of weeks

n =  $30,800/700

n = 44 weeks

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The distance between two given points x₁ and x₂ for the 6th grade can be calculated by :

a. If the points lie in the same quadrants then distance = | x₂ - x₁ |

b. If the points lie in the different quadrant then distance = |x₂| + |x₁|.

As given in the question,

The distance between the two given points can be calculated in the following way:

Let us consider two points in the coordinate plane whose one coordinate is constant be ( x₁, y) and ( x₂ , y ).

a. Distance between two points in the same quadrants is given by :

= | x₂ - x₁ |

b.  Distance between two points in the different quadrants is given by :

= |x₂| + |x₁|

It is represented by absolute value as distance is always positive.

Therefore, the distance between two given points with one coordinate constant for the 6th grade is given by :

a. If the points lie in the same quadrants then distance = | x₂ - x₁ |

b. If the points lie in the different quadrant then distance = |x₂| + |x₁|.

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The type of isometry is shown, there are orientations with the same; rotation. The correct answer would be an option (C).

Any isometry in the plane is a miracle combination of a rotation, a reflection, and a translation. In three dimensions, the issue becomes a little more difficult since each isometry is a combination of a translation, a reflection, and a rotation about a particular axis.

The figure on the right is an isometry of the figure on the left.

As per the question,

The type of isometry is shown, there are orientations with the same and rotation.

Hence, the correct answer would be option (C).

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The time required for the new guy to finish the car is given by the equation A = 10/3 hours = 3 1/3 hours

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the time required for the new guy to finish the car be A

Now , the equation will be

The total time worked by the two mechanics = 2 hours

The time for the 1st person to finish the car = 6 hours

So , the amount of work done in 2 hours by 1st person = 2/6 = 1/3 of total

The time for the 2nd person to finish the car = 8 hours

So , the amount of work done in 2 hours by 2nd person = 2/8 = 1/4 of total

And , the remaining work = 1 - ( 1/3 + 1/4 )

On simplifying the equation , we get

The remaining work = 1 - ( 7/12 ) = 5/12 of the work

Now , the time required for the 2nd person to complete 5/12 of the work =

A = 5/12 x 8

A = 5 x 2/3

A = 10/3

A = 3 1/3 hours = 3 hours and 20 minutes

Hence , the time required is 3 hours and 20 minutes

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