The building is 141 cm tall when a pole that is 3.1 m tall casts a shadow that is 1.68 m long.
What is ratio ?
ratio can be defined as the given value divided by the total value, called as the ratio.
Given,
A pole that is 3.1 m tall casts a shadow that is 1.68 m long.
At the same time, a nearby building casts a shadow that is 48.25 m long
to solve this, use proportions. The height of the pole corresponds to the height of the building; the shadows are corresponding:
3.1/ x = 1/45.5
x = 3.1* 45.5
x = 141.05
Hence, the building is 141 cm tall when a pole that is 3.1 m tall casts a shadow that is 1.68 m long.
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does someone mind helping me with this problem? Thank you!
Answer:
The first step in solving this system of equations by elimination method is to eliminate one of the variables by adding or subtracting the two equations.
-9x - 4y = 1
3x + 3y = 3
If we multiply the first equation by 3 and the second equation by -9, we get:
-27x - 12y = 3
-27x - 27y = -27
Now we can add these two equations:
-12y = -24
y = 2
Now we can substitute this value of y back into one of the original equations to find the value of x.
-9x - 4(2) = 1
-9x - 8 = 1
-9x = 9
x = -1
So the solution of this system of equations is (x,y) = (-1,2)
Answer:
You just have to plug in one equation into the other, though you might already know this but the answer would be,
(-1,2)
Two mechanics were working on your car. One can complete the given job in six hours, but the new guy takes eight hours. They worked together for the first two hours, but then the first guy left to help another mechanic on a different job. How long will it take the new guy to finish your car?
The time required for the new guy to finish the car is given by the equation A = 10/3 hours = 3 1/3 hours
What is an Equation?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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What do we mean when we say numeric.
Answer: Numeric is anything of, relating to, or containing numbers. The numbering system consists of ten different digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. If a value is an alphanumeric, it contains letters and numbers.
Step-by-step explanation:
if 12 labor takes 20 days to dig a land. in how many days 8 labor can dig the same land? calculate
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).
What is teh value for the expression 6 + 9w - 5s when w = 7 and s = 2?
The value for the expression 6 + 9w - 5s is 59.
How do you locate the algebraic expression?You must substitute a number for each variable and carry out the arithmetic procedures to evaluate an algebraic expression. Since 6 + 6 equals 12, the variable x in the case above equals 6. If we are aware of the values of our variables, we can replace the variables with those values before evaluating the expression.
When the variables and constants of an expression are given values, the outcome of the computation it describes yields the expression's value. The quantity that the function assumes for these argument values is the value of the function, given the value(s) assigned to its argument(s).
The expression 6 + 9w - 5s when w = 7 and s = 2.
6 +(9*7 - 5*2) = 6+63 - 10 = 59.
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what is the prior probability of the bid being successful (that is, prior to the request for additional information)
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).
in the binary value 1002, what is the place value of the 1?
Answer: 4s place
Also could you mark my answer as brainliest? It helps and doesnt hurt
Which type of polynomial is x² 9x 20?
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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What happens to the parent graph, y= square root X when the equation is changed to y=-(square root X+1) select all that apply
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.
What is a translation?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
What is a reflection?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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correct answer gets brainliest ( please help me asap)
Is the relation shown below a function? Explain.
Is the relation shown below is not a function.
Define function?A relationship between two sets known as the domain and the co domain, where there is one output for each input, is called a function. The amounts represent a relation if you have more than one output for a specific input, or if the elements of A and B do not map uniquely. The vertical line test, which states that at any point if a vertical line produces two intercepts of the curve, the curve cannot be a function, can be used to demonstrate that a relationship graph is a function.Given are two sets with {5,10,15,20} and {10,20,30,40,50} where there is a mapping.We find that while 5,10,15 have unique mappings while 20 have two mappings.Since there is an element in the I set have two images, this cannot be a function.To learn more about function refer to:
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Thank you please help
Answer:
[tex]\frac{2}{3}[/tex]
Hope this helps!
Step-by-step explanation:
Slope = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
b = ( -2, 0 )
a = ( -5, -2 )
[tex]slope = \frac{0 - (-2) }{-2 - ( -5)}[/tex]
slope = [tex]\frac{2}{3}[/tex]
Which is a correct ordered pair using Sabah's function? *
O ($1125, $500)
O ($1250, $505)
O ($1300, $505)
O ($1600, $532)
Using Sabah's function, ($1125, $500) is the right ordered pair. It is not a function if any of the x values are the same, but this is not true if the y values are different.
What is a ordered pair function in math?A set of ordered pairs is not a function if an x value has more than one y value associated with it. For instance, in the relation (4, 1), (4, 2), the x-value of 4 has y-values of 1 and 2, indicating that this relation is not a function. The connection is a function if each x-value has a single corresponding y-value.
An ordered group of pairs makes up a relation (x, y). A pair that has two values stated in a specific order between parenthesis is known as an ordered pair. It is made up of the x coordinate (abscissa) and the y coordinate (ordinate). For greater visual comprehension, it helps to locate a point on the Cartesian plane. An ordered pair of numbers can have either fractional or integer values.
Therefore the correct answer is ($1125, $500) .
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How is log x calculated?
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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Ricardo is creating a budget for himself to set goals on how much money he wants to save. At his current job, he makes $1,000 per week, and spends $300 each week on his expenses. If he wants to save a total of at least $30,800, how many weeks at minimum does he have to work for in order to reach his goal?
Ricardo has to save for a minimum of 44 weeks.
What is savings?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 figure on the right is an isometry of the figure on the left. Are their orientations the same or opposite? Which type of isometry is shown?
a. Opposite; Reflection
b. Opposite; Translation
c. Same; Rotation
d. Same; Glide Reflection
The type of isometry is shown, there are orientations with the same; rotation. The correct answer would be an option (C).
What is isometry?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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Rectangles have the following properties:
(pick all that apply)
Multiple select question.
A)
Diagonals are congruent
B)
Opposite angles are congruent
C)
Adjacent sides are parallel
D)
All 4 angles are 90 degrees
E)
Opposite sides are congruent
F)
Consecutive angles add to 360 degrees
G)
Cannot be a parallelogram
Rectangles have the following properties:
The diagonals are congruent Opposite sides are congruentAll 4 angles are 90 degreesWhat are the properties of Rectangles?A quadrilateral with four right angles is a rectangle. It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides.
A rectangle's opposite sides are the same length (congruent). A rectangle's angles are all congruent (the same size and measure.) The term "right angle" refers to an angle that is 90 degrees or more. A rectangle therefore has four right angles. A rectangle's opposing angles are congruent.
Therefore, options A, B, D , are correct.
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The pie chart represents the results when 120 people in a shopping centre were asked which country they were born in.
What fraction of people were born in France?
Give your answer in its simplest form.
The fraction of people were born in France is 7/24 .
What is a Pie Chart?
A pie chart is a graphical representation used to describe the composition of a data using degrees or percentages.
Given,
The pie chart represents the results when 120 people in a shopping centre were asked which country they were born in.
So, from the given pie chart
105° is given as the number of people that were born in the France
That's about: 105/360 × 120 = 35 people.
35 out of 120 people would give us a fraction of: 35/120 = 7/24 .
Hence, The fraction of people were born in France is 7/24 .
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What is the derivative of 7e to the 7x?
The derivative of 7e to the 7x is 7e to the 7x * 7ln(e) * 7. The derivative of 7e to the 7x can be found by first taking the natural logarithm of the base, in this case e7x.
1. Take the natural logarithm of the base: ln(e7x)
2. Take the derivative of the natural logarithm: 7x*ln(e)
3. Apply the chain rule: 7e7x * 7ln(e) * 7
The derivative of 7e to the 7x can be found by first taking the natural logarithm of the base, in this case e7x. The natural logarithm of e7x is ln(e7x). Taking the derivative of the natural logarithm yields 7x*ln(e). We then apply the chain rule to get the final result of 7e7x * 7ln(e) * 7. In other words, the derivative of 7e to the 7x is equal to 7 multiplied by e raised to the 7x power, multiplied by 7ln(e), and then multiplied by 7 once more. This can be simplified to 7e7x * 7ln(e)7.
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Imani
spent half of her weekly allowance
playing mini-golf. To earn more money her
parents let her wash the car for $4. What is
her weekly allowance if she ended with
$12? And use a equation
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.
How to find the calculation?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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How do you graph natural log equations?
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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The owner of a sporting goods store randomly surveys 150 customers, of whom 95 are first-time customers. During the next week, the store has 900 customers. Based on the data from the survey, how many of the customers can the store owner expect to be first-time customers?
Answer: 570
Step-by-step explanation: In survey the total customers were 150 so our sample size is 150.
Total number of First time customer = 95
Probability of being a first time customer = 95/150 = 0.63
So on first day using same probability the first time customers will be 900 × 0.63 = 570
What is the slope of the line (- 3 4 and 0 2?
The slope of the line (-3, 4) and (0, 2) is -2/3.
In the given question, we have to find the slope of the line (-3, 4) and (0, 2).
A line's slope is defined as the ratio of the change in the y coordinate to the change in the x coordinate.
The given points are (-3, 4) and (0, 2).
We can find the slope from the given point using the formula
m = [tex]\frac{y(2)-y(1)}{x(2)-x(1)}[/tex]
From the given points;
x(1) = -3, y(1) = 4, x(2) = 0, y(2) = 2
Now putting the values in the formula;
m = (2 - 4)/(0 - (-3))
m = (-2)/(0 + 3)
m = -2/3
Hence, the slope of the line (-3, 4) and (0, 2) is -2/3.
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Micah saved $6 on a $40 pair on pants. ________
pls help me with this
-9x+5=-9x-1+6 is the equation which has no solution.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is -7x+2x+5-4x=_x+6
Add the variable on left hand side
Minus seven times of x plus two times of x plus five minus four times of x equal to x plus six.
-9x+5=-9x-1+6
Hence, -9x+5=-9x-1+6 is the equation which has no solution.
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what is the smallest integer greater than 38 that cannot be the length of the hypotenuse of a right triangle with integer side lengths?
The smallest integer greater than 38 which cannot be the length of the hypotenuse of a right triangle is 39.
Since 39 is divisible by 3, it cannot be the hypotenuse in any Pythagorean triples. Because for primitive Pythagorean triples, the hypotenuse is never divisible by 3.
What is a primitive Pythagorean triple?A primitive Pythagorean triple is one where a, b and c are coprime (which is, they have no common divisor larger than 1). For example, (3, 4, 5) is a primitive Pythagorean triple while (6, 8, 10) is not. For any primitive Pythagorean triple the integer c or the hypotenuse cannot be divisible by 3. Divisibility by 3 is only reserved for spots a and b.
There are an infinite number of Pythagorean triples. If 2n+1 is a square, it forms a Pythagorean triple. But 2n+1 comprises all the odd numbers; each of other square numbers is odd; there are an infinite number of odd squares; thus, there are an infinite number of Pythagorean triples.
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3x+6y = 18
2x+5y= 24
Pls use elimination!
Answer:
Step-by-step explanation:
3x+6y = 18
y=4
2x+5y= 24
y=9.5
a rectangle has a perimeter of 116 units if the length is 2 less than 5 times the width what’s the width
The width of rectangle is 10 units.
What is Algebra?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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please please helpp!!
The value of 'n' in this right-angled triangle is n = 8.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know the sum of all the interior angles in a triangle is 180°.
Therefore, From the given information 3.4n + 9.2n - 10.8 = 90.
12.6n = 100.8
n = 100.8/12.6.
n = 8.
So, The value of n is 8.
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How do you find the area of an l angle?
A compound shape is a shape that is made up of other simple shapes. In this article, we will be working out the area of an L shape (made up of two rectangles). To find the area of a compound shape, follow these simple steps:
Step 1: Work out the missing lengths around the edge of the compound shape.
Step 2: Divide your L shape into two rectangles. This can be done in 2 different ways (both methods will give the same answer).
Step 3: Work out the area of each rectangle. Do this by multiplying the base of the rectangle by the height of the rectangle.
Step 4: Add the areas of the rectangles together to give the total area of the L shape.
Complete question: How do you find the area of an L angle?
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