999.06ft999.06 in feet is the ladder.
What is Pythagorean Theorem?Pythagorean Theorem is a mathematical formula used to calculate the length of the sides of a right triangle. It states that the sum of the squares of the two shorter sides of a right triangle is equal to the square of the longest side, which is known as the hypotenuse. The formula is written as a² + b² = c², where a and b are the two shorter sides, and c is the hypotenuse.
To find the length of the ladder, use the Pythagorean Theorem. The length of the ladder is equal to the square root of the sum of the squares of the side lengths of the right triangle formed by the ladder and the wall.
The two side lengths of the right triangle are 999\,\text{ft}999ft999, start text, f, t, end text and 3\,\text{ft}3ft3, start text, f, t, end text.
Therefore, the length of the ladder is equal to the square root of (999^2+3^2), which is equal to 999.06\,\text{ft}999.06ft999.06,
start text, f, t, end text.
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What is the domain of exponential function f/x )= BX?
The domain of an exponential function is all real numbers. In the interval notation is (-∞, ∞).
What is interval notation?
A set of real numbers known as an interval in mathematics contains all real numbers falling inside any two of the set's numbers. For instance, the interval containing 0, 1, and all integers in between is the set of values x satisfying 0 ≤ x ≤ 1 .
Given exponential function is f(x) = B^x.
A function with an exponent as the independent variable is called an exponential function. The general form of an exponential function is y = f (x) = B^x, where B > 0 and a > 1, and x is any real number. The function is undefined for -1 < x < 1 if an is negative, which is why a > 0 is true. The function can have a domain that includes all real numbers by limiting a to positive values.
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Which transformation on triangle XYZ results in a triangle that is similar, but not congruent, to triangle XYZ?
A. a translation 3 units to the right
B. a reflection across the line y = - 2x + 3
C. a rotation 90° clockwise around the origin
D. a dilation centered at the origin with a scale factor of
Answer: Choice D
Step-by-step explanation: A dilation would result in a similar triangle because multiplying by the scale factor will create proportional sides. However, this will change the size of the triangle, making it not congruent.
Answer:
D.
Step-by-step explanation:
Congruent means that the triangles are exactly the same in shape and size.
Dilating the triangle is the only answer that will change its size.
Answer this pls I really need it
Answer:
x = - 6
y = - 2
Step-by-step explanation:
Given,
y = - 2
To find : x = ?
1x - 5y = 4
x - 5 ( - 2 ) = 4
x + 10 = 4
x = 4 - 10
x = - 6
3)I NEED HELP FAST
Beth cuts a green apple into 6 slices. She ate 5 slices and gave 1 slice to her sister,
Eva. What fraction of the apple did Eva receive?
Answer:
uhhh ima guess 1/2
Step-by-step explanation:
because 6-5 is 1 and 1 is 1/2 in fractions ig
The scale model of a statue is 1 inch to 11.2 feet. If the model is 5.8 inches, what is the length, in feet, of the actual statue?
The length of the actual statue in feet would be = 64.96 ft
What is scale model?A scale model is defined as the the exact type of an object but with a different measurement.
The scale model of a statue = 1 In = 11.2 ft
The length of the model = 5.8 inches
Therefore it length in feet = X ft
That is; 1 in = 11.2 ft
5.8 in = X ft
make X ft the subject of formula;
X ft = 5.8 × 11.2 = 64.96 ft
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Help me with this plz guys ur my only hope
Pi = 3.14
Diameter (d) = 86 cm
•°• Radius (r) = 86 ÷ 2 = 43 cm (radius is 1/2 of diameter)
Area of the circle = ?
Formula,
[tex]\pi( {r})^{2} [/tex]
Substitute the value of 'r' & pi in the formula.
[tex]\pi(43) {}^{2} \\ = 3.14 \times 43 {}^{2} \\ = 3.14 \times 1849 \\ = 5805.86 \: \: cm {}^{2} [/tex]
⎆ The area of the circle is about 5805.86 cm² (approx.)
A farmer is using a random sample to predict the number of broken eggs in a shipment of 3,000 eggs. Using a calculator, the farmer generates the following random numbers. The numbers 1-250 represent broken eggs. 477 2,704 2,116 900 1,044 238 81 1,672 619 187 755 1,509
Based on this sample, how many broken eggs might the farmer expect?
Answer:
238
Step-by-step explanation:
The product of 15 and a number has a result in 15 what is the number
1
Step-by-step explanation:To find an unknown number we can use properties of equality.
Algebraic Method
Another word to describe an unknown number is "variable". For the equation, I will call this variable x. Any variable can be used, but x is the most common.
We can write an equation to describe the situation. The statement says that the product of 15 and x is 15. This means that 15 * x = 15. Now we can use algebra to solve this equation.
To find x, divide both sides by 15.
x = 1Identity Property of Multiplication
Additionally, if you know all the properties of equality, you can answer this question without doing any math. One of the properties of equality is the identity property of multiplication. The identity property states:
a * 1 = aThis means that any number multiplied by 1 is itself. So, since the factor and product are equal, the other factor must be 1. If you plug 15 in for a, you can see how this property applies to this situation.
What is the area of the red region?
Answer:
Exact: A = (3.28 + 8π) cm²
Approximate: A = 57.13 cm²
Step-by-step explanation:
The right part of the red figure is a rectangle which is half of the square.
The left half of the red figure is a semicircle.
A = LW + ½πr²
A = (4 cm)(8 cm) + ½(π)(4 cm)²
A = (32 + 8π) cm² (exact)
A = 57.13 cm² (approximate)
Find the area of this circle. Use 3.14 for pie?
Answer:
3.141592658
Step-by-step explanation:
The flow of water through a drainage pipe was monitored for a 3-hour period. In the second hour, the rate of flow was 15 gallons per hour, which was 50 percent faster than the rate of flow for the first hour. If 25 percent more water flowed through the pipe in the third hour than it did in the second, how many gallons of water flowed through the pipe during the entire three hours
Over the course of the three hours, 41.25 gallons of water passed through the pipe in total.
We know that the rate of flow for the first hour was 50% slower than the rate of flow for the second hour. So, if the rate of flow in the second hour was 15 gallons per hour, the rate of flow in the first hour would be:
15 gallons/hour * (100% - 50%) = 15 gallons/hour * 50% = 7.5 gallons/hour
We also know that 25% more water flowed through the pipe in the third hour than in the second. So the rate of flow in the third hour would be:
15 gallons/hour * (1 + 25%) = 15 gallons/hour * 1.25 = 18.75 gallons/hour
To find the total number of gallons of water that flowed through the pipe during the entire three hours, we can multiply the rate of flow for each hour by the number of hours:
First hour: 7.5 gallons/hour * 1 hour = 7.5 gallons
Second hour: 15 gallons/hour * 1 hour = 15 gallons
Third hour: 18.75 gallons/hour * 1 hour = 18.75 gallons
Adding these values we can find the total amount of water that flowed through the pipe during the entire three hours
7.5 gallons + 15 gallons + 18.75 gallons = 41.25 gallons
So, in total 41.25 gallons of water flowed through the pipe during the entire three hours.
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413.33 The 3 in the hundredths place is _____ times the value of the 3 in the tenths place.
Answer:
The value of the 3 in the tenths place is 10 times the value in the hundredths place
Step-by-step explanation:
Ok
SOMEBODY PLEASE HELP ME BY GIVING ME ANSWERS AND EXPLANATIONS. I NEED YOUR HELP AS SOON AS POSSIBLE OR I AM GOING TO GET BAD GRADES!
Answer:
here you go
Step-by-step explanation:
8)10
9)3
10)increase
11) decrease
12)increase
13)constant
find f(k-1) when f(x)=5x^2+3x-6
please help its urgent!
Answer: 5k^2-7k-4
Step-by-step explanation: substitute (k-1) in for the x's
5(k-1)^2+3(k-1)-6
(k-1) * (k-1) = k^2-2k-1
5(k^2-2k-1) = 5k^2-10k+ 5
then do 3(k-1)-6
3k-3-6 (combine like terms)
3k-9
5k^2-10k+5 +3k-9 (combine like terms again)
5k^2-7k-4
hope this helps (^_^)
I’m doing homework and this may be easy for others but I’m not that good at learning quickly. Take ur time it’s fine. Please help
the statement that "you walk at a constant rate" tells us that the relationship is indeed proportional, namely, there's a value in the input that's consistent or common yielding the output.
Check the picture below.
to get the equation of any straight line, we simply need two points off of it, for the distance "from school" table, let's use those two points in that table
[tex](\stackrel{x_1}{10}~,~\stackrel{y_1}{0.5})\qquad (\stackrel{x_2}{30}~,~\stackrel{y_2}{1.5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{1.5}-\stackrel{y1}{0.5}}}{\underset{\textit{\large run}} {\underset{x_2}{30}-\underset{x_1}{10}}}\implies \cfrac{1}{20}[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0.5}=\stackrel{m}{\cfrac{1}{20}}(x-\stackrel{x_1}{10})\implies y-0.5=\cfrac{1}{20}x-\cfrac{1}{2} \\\\\\ y=\cfrac{1}{20}x-\cfrac{1}{2}+0.5\implies y=\cfrac{1}{20}x-\cfrac{1}{2}+\cfrac{1}{2}\implies \boxed{y=\cfrac{1}{20}x}[/tex]
A 2 3/4inch candle burns down in 11 hours. At what rate does the candle A burn, in inches per hour?
Answer:
0.25 in/h
Step-by-step explanation:
1. change 2 3/4 t0 2.75
2. 2.75/11= 0.25
At a benefit concert, fifteen bands have volunteered to perform but there is only enough time for eight of the bands to play. How many lineups are possible?
On solving the provided question, we can say that - he need 56 answers he need to get correct if he want a grade of 80 percent on a test with 70 questions
what is percentage?A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. It has no measuring systems. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) * 100%.
Assuming that all of the questions are equally weighted, 56 is equal to 80% of 70. (.80)(70)=56 Therefore, 56 out of 70 is the lowest number you may get correct, or 80%.
So, the maximum number of questions you may omit is 14. As an alternative, if you desire 80% accuracy, you can have no more than 20% errors.
20% of 70
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Charles and Paul each have a computer repair business.
Charles charges a diagnostic fee of around 60$ plus 12$ per hour spent on computer repairs.
Y= 12x+60
Paul charges a diagnostic fee of 40$ plus 16$ per hour spent on computer repairs.
The situation is graphed in the picture
Y= 16x+40
*Which statement BEST describes the system of equations?
A. For repairs requiring 2 hours of work, the total amount charged by Charles will be 72$ and the total amount charged by Paul will be 84$
B. For repairs requiring 8 hours of work, the total amount charged by Charles will be 168$ and the total amount charged by Paul will be 156$
C. For repairs requiring 5 hours of work, the total amount charged by both Charles and Paul will be 100$
D. For repairs requiring 5 hours of work, the total amount charged by both Charles and Paul will be 120$
(This is just too much to look at for me so If anyone can figure it out I greatly appreciate it)
For repairs that take five hours to complete, Charles and Paul will each charge a total of $120.
What is the graph's equation?In order to put the equation in y-intercept (y=mx+b) form and determine the equation of a graphed line, first determine the slope and y-intercept. The slope is the ratio of the y-to-x change.
What are the three techniques for graphing equations?For charting linear functions, there are three fundamental techniques. The first method involves tracing a line through a set of points that have been plotted. The second method makes use of the slope and y-intercept. Applying transformations to the identity function f(x)=x f(x) = x is the third step.
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48% of student in a school are girls. a student is picked at random.what is the probability that a boy is picked
Answer:
0.52
Step-by-step explanation:
From the above question:
48% of students in a school are girls.
Let the total percentage of students = 100%
The percentage representing boys = 100% - 48% = 52%
Hence, the probability that a boy is picked = P(boy) = Percentage of boys/ Total percentage
P(boy) = 52%/100%
= 0.52/1
= 0.52
Therefore, the probability that a boy is picked is 0.52
Solve the given differential equation. 3x^2y'' + 6xy' + y = 0
The solution for given differential equation is y = c1e^(-x^3/3) + c2xe^(-x^3/3)
This is a second-order linear differential equation with constant coefficients. To solve this equation, we can use the method of an auxiliary equation, which is 3r^2 + 6r + 1 = 0. This equation has two complex conjugate roots, r = -3 ± i√3. Therefore, the solution of the differential equation is y = c1e^(-x^3/3) + c2xe^(-x^3/3)cos(√3x^2/2) + c3xe^(-x^3/3)sin(√3x^2/2), where c1, c2, and c3 are arbitrary constants.
The method of an auxiliary equation is a popular way to solve second-order linear differential equations with constant coefficients. It involves finding the roots of an auxiliary equation, which is found by setting the coefficient of the second derivative equal to zero.
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A certain United States flag has a perimeter of 58 feet. The length of the flag is 9 feet longer
than the width. What are the dimensions of the flag?
The dimensions of the flag are:
length = 19 feet and width = 10 feet
Let 'l' be the length of the flag and 'w' be the width of the flag.
The length of the flag is 9 feet longer than the width.
So, we get an equation
l = 9 + w ............(1)
The flag has a perimeter of 58 feet.
We know that the formula for the perimeter of rectangle:
P = 2(l + w) ..............(2)
Here, P = 58 feet
Substitute the value of P in equation (2)
58 = 2(l + w)
29 = (9 + w) + w ..........(from (1))
29 - 9 = 2w
2w = 20
w = 10
Substitute this value in equation (1),
l = 9 + 10
l = 19 feet
Therefore, length = 19 ft and width = 10 ft
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The points (14, –3) and (–10, –3) fall on a particular line. What is its equation in slope-intercept form?
y = -3
Step-by-step explanation:Slope intercept form is y = mx + c.
"m" is the slope and "c" is the y-interecept.
The slope is calculated by dividing the change in y values by change in x values. However, you can see from these two points that as the value of x changes, the value of y stays the same (-3). This means the slope is zero, as it doesn't move up in the y-direction at all.
This means y = 0x + c
You can substitute 14 for y and -3 for x from the first point to get:
-3 = 0(14) + c
-3 = c
y = 0x + -3
Which is the equation of the line in slope-intercept form.
This is the same as saying y = -3, as for every x value, y will always be -3.
Some epidemiologists are planning a second study to evaluate the PSA screening test. The only difference is that this time, the men from Reno who they randomly sample will be 44-59 years of age. Age is a strong risk factor for prostate cancer. The prevalence of prostate cancer in men 44-59 years of age will be much lower than the prevalence of prostate cancer in men 60-75 years of age. How do you expect the results of the second study will compare with the results from the study conducted among 60-75 year old men
Answer:
The second test result will be lower and more sensitive to changes than the first test result and it will better test the efficacy of the PSA screening test
Step-by-step explanation:
The evaluation the epidemiologist are planning = Prostrate Specific Antigen, PSA, screening test
The given difference between the first and second study = The age range of the study group
The age range of the first study = 60 to 75 years
The age range of the second study = 44 to 59
The prevalence of prostrate cancer in men 44 to 59 years of age < The prevalence of prostrate cancer in men 60 to 75 years of age
Therefore, due to the low prevalence, the result of the second test will be more sensitive than the result of the first test.
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ
Answer:
B.
hope this helps
have a good day :)
Step-by-step explanation:
can anyone help?! Will mark brainliest!
Answer:
Volume are over 120-177 because the layers are communicate each factors and angles..
Step-by-step explanation:
both 6 have 3 factors
A are for equation
5 centimeters are not allowed to communicate with other lessons and Numerator numbers...
HOPE IT HELPS!!
Find the measure of ∠d. PLEASE HELP
Answer:
107
Step-by-step explanation:
3x + 16 + 5x - 4 = 180 (Being linear pair)
8x + 12 = 180
8x = 180 - 12
8x = 168
x = 21
3x + 16 = 3 * 21 + 16 = 79
< C = 79 ( being corresponding angles)
< d + < c = 180 ( being linear pair)
< d = 180 - 79
< d = 107
Hope it will Help :)❤
Problem Solving Quick Check
A recipe for macaroni and cheese takes 3 tablespoons of milk and 2 tablespoons of butter Simon is going to make 5 batches of the macaroni and cheese for a family dinner how many cups of milk are
required? tpoint)
os
o
0.94 cups of milk is required for 5 batches of the macaroni and cheese.
Given that the recipe for macaroni and cheese takes:
3 tablespoons of milk
and 2 tablespoons of butter
To find: the number of cups of milk required
Let m be the number of cups of milk is required to make 5 batches of the macaroni and cheese.
a batch of the macaroni and cheese require 3 tablespoons of milk .
So by unitary method for 5 batches of the macaroni and cheese,
(5 × 3) = 15 tablespoons of milk is required.
We know that 1 US Cup = 16 US tablespoons
So by unitary method,
m = 15/16 cups of milk
m = 0.94 cups of milk
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sofia and her brother combined to read a total of 40 books over the summer sofia read four times as many books as her brother how many books did each person read
The number of books that Sofia read is 32 books and the brother read 8 books.
How to calculate the number of books read?An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.
From the information, Sofia and her brother combined to read a total of 40 books over the summer sofia read four times as many books as her brother how many books did each person read
Let the number of books read by the brother = x
Number of books read by Sofia = 4x
Therefore, x + 4x = 40
5x = 40.
Divide
x = 40 / 5
x = 8
The brother read 8 books
Sofia read = 4x
= 4 × 8
= 32 books.
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I need help ASAP plsss
Answer:
a) B
b) C
Step-by-step explanation:
a parallelogram shaped patio has a rectangular rug in the middle jwhat is the area of the patio around the rug?
Answer:
12" 15"
Step-by-step explanation: