Answers
Answer:
b = 5
Step-by-step explanation:
We can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
12^2 + b^2 = 13^2
144+b^2 =169
Subtract 144 from each side
144-144+b^2 = 169-144
b^2 = 25
Take the square root on each side
sqrt(b^2) = sqrt(25)
b = 5
Answer:
B= 5
Step-by-step explanation:
Related Questions
what is the slope of the line through [-1,2] and [2,-3]
Answers
Answer:
-3/5
Step-by-step explanation:
to figure that out you have to do y^2 - y^1/ x^2 - x^1
2-(-1)/ -3 - 2
= 3/-5
=-3/5
(PLEASE ANSWER ILL GIVE YOU 20 POINTS) Determine if the relation is a function. If the relation is a function, find the domain and range.Required to answer. Single choice.
Answers
Answers:
The relation is a function
Domain = {-2, -1, 0, 1, 2}
Range = {-2, 0, 2}
=================================================
Explanation:
The blue points shown are
(-2,-2)
(-1,0)
(0,2)
(1,0)
(2,-2)
Note how the x values do not repeat themselves. Visually this graph passes the vertical line test. It is impossible to draw a single straight vertical line through more than one blue point at a time. It tells us that any x input leads to exactly one y output.
The relation is a function
The domain is the set of x coordinates of the points
Domain = {-2, -1, 0, 1, 2}
The range is the set of y coordinates of each point
Range = {-2, 0, 2}
Toss out any duplicate items that may occur in the range.
Answer:
The relation is a function.
The domains are 2, 1, 0, -1, -2.
The ranges are -2, 0, 2, 0, -2
Mai wants to make a scale drawing of her kitchen. her kitchen is a rectangle with length 6m and width 2m. She decides on a scale of 1 to 40. Mal's Kitchen door is 1.2 m wide. How wide should the door be on the scale drawing?
How wide should the door be on the scale drawing?
cm
Explain how you know
Type your response in the box below.
c. Mai's kitchen table measures 4 cm by 2.5 cm on the scale drawing.
What are the actual measurements of her kitchen table?
Type your answers in the boxes below.
Answers
Answer:
Her door should be 3cm on scale
The actual dimension of the kitchen table is
\(Length = 1.6m\)
\(Width = 1m\)
Step-by-step explanation:
Given
\(Scale= 1 : 40\)
\(Kitchen\ Dimension= 6m\ by\ 2m\)
\(Door\ Width = 1.2m\)
Solving (a): The width of the door on the scale
Represent the scale width with x
So, we have:
\(1 : 40\)
and
\(x : 1.2\)
Equate both ratios
\(1 : 40 = x : 1.2\)
Represent as fraction
\(\frac{1}{40} = \frac{x}{1.2}\)
Solve for x
\(x = \frac{1.2}{40}\)
\(x = 0.03m\)
\(x = 3cm\)
Hence, her door should be 3cm on scale
Solving (b): Actual Dimension of the kitchen table
To solve this, we simply multiply the scale dimensions by 40
\(Length = 4cm * 40\)
\(Length = 160cm\)
\(Length = 1.6m\)
\(Width = 2.5cm * 40\)
\(Width = 100cm\)
\(Width = 1m\)
Hence:
The actual dimension is
\(Length = 1.6m\)
\(Width = 1m\)
This question requires TWO checkboxes to complete. Alex is building the fraction moted below to find the product of the experim 325 one-whole 4 1 ! d 공 중 중 1 a ! 1 6 중 Select the option that correctly completes each statement A 3 Alex can find the product by shading B 5 6 sections in each row. 2 6 15 The product of the expression 3 xãi is 6 f 15 풍 6 E. 75/6
Answers
Alex can find the product by shading 5 sections in each row. In this way, each shaded row represents 5/6.
Now, to find the product, Alex has to add the shaded values, that is,
\(\frac{5}{6}+\frac{5}{6}+\frac{5}{6}=\frac{5+5+5}{6}=\frac{15}{6}\)help I’m in 5th 14 question
Answers
Miss Franklin is getting married soon. She would like to hire a professional who will come to her house and do hair and makeup for the bridal party on her wedding day. She has narrowed it down to two possible choices. A woman from Princeton Salon charges an initial fee of $50 and then an additional $25 per hour. Alternatively, a team from Beauty by Angie offers a free consultation and then charges a higher hourly rate of $30. If it takes a certain amount of time to finish everyone's hair and makeup, Miss Franklin will end up paying the same amount either way. How much would Miss Franklin end up paying?
Answers
Answer:
10 hours
Step-by-step explanation:
Let A be the Princeton Salon and B is Beauty by Angle.
Build a table that contains the information. See attached.
The cost, y, for x hours, for each option would be:
A: y(A) = 50 + 25x
B: y(B) = 0 + 30x
We want to find the hours, x, for which both options, so set them equal to each other:
50 + 25x = 0 + 30x
-5x = 150
x = 10 hours
The table confirms this calculation.
store pays $50 for a pair of shoes. The markup is 25%.
a. What is the selling price for the shoes?
The selling price is $_
.
Question 2
b. What is the total cost for a person to buy the shoes including a 6% sales tax?
The total cost is $_
.
Answers
Answer:
75%
Step-by-step explanation:
Answer:
The selling price is $62.50 And b is is 75%
Step-by-step explanation:
3x100+1x10+5x1+4x1/10+7x1/100
What is the number in decimal form?
Answers
Answer:
315.47
Step-by-step explanation:
you just use place value
For this exponential function,
what is the output value (y)
when the input value (x) is 2?
y = 4.2x
(2, [?])
Enter
Answers
The final statement is: y=16
What are functions?Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given here: The exponential function y=4×2ˣ
Therefore for x=2 we get
y=4×2²
y=16
Hence, The value of y at x equal to 2 is 16
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The NWBC found that 67.6% of women-owned businesses provided employees health insurance. What sample size could be 90% confident that the estimated (sample) proportion is within 3 percentage points of the true population proportion?
Answers
If we take a random sample of 603 women-owned businesses, we can be 90% confident that the estimated proportion of businesses providing health insurance will be within 3 percentage points of the true population proportion.
To determine the sample size needed to estimate a population proportion with a specified margin of error, we can use the formula:
n = (\(z^2\) * p * (1-p)) /\(E^2\)
where:
n = sample size
z = z-score for the desired confidence level (1.645 for 90% confidence)
p = estimated population proportion (0.676 in this case)
E = margin of error (0.03 or 3 percentage points)
Substituting the given values, we get:
\(n = (1.645^2 * 0.676 * (1-0.676)) / 0.03^2\)
n = 602.36
Rounding up to the nearest integer, we get a required sample size of 603. Therefore, if we take a random sample of 603 women-owned businesses, we can be 90% confident that the estimated proportion of businesses providing health insurance will be within 3 percentage points of the true population proportion.
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Brozony musical was attended by a total of 2233 people, including men, women and children. The number of women who atended the event
was more than 3 times the number of children while the number of men was less than 4 mes the number of women. Wirite an ecuation to
model this station. Then use the ention to find the number of men, women and children who attended the musical
Answers
Answer:
Let x represents the number of children in the Broadway musical,
Since, The number of women who attended the event was 5 more than 3 times the number of children,
⇒ The number of women = 3x + 5
Also, the number of men was 3 less than 4 times the number of women,
⇒ The number of men = 4(3x+5)-3 = 12x + 20 - 3 = 12x + 17
Thus, the total number of persons = x + 3x + 5 + 12x + 17 = 16x + 22
According to the question,
16x + 22 = 2838
Which is the required equation,
Subtract 22 on both sides,
16x = 2816 ⇒ x = 176
Hence, the total number of children = 176
The number of women = 3 × 176 + 5 = 533
And, the number of men = 12 × 176 + 17 = 2129
Pls pick one option to help me out
Answers
option is c=2/3
2/3+ 1/7 = 17/21
(PLEASE HELP WITH QUESTIONS 11 AND 12)
11. If AC = 3x+1 and DE = 8, find x and AC.
12. Find DE if AC = 34.
Answers
Explanation:
Just gotta fill it out so if AC is 34
34 - 1 = 3x+1 - 1 (subtract 1 from both sides)
33/3 3x/3 x=11
and DE is already there!
a town's population has been growing linearly. in 2003, the population was 59000, and the population has been growing by 1700 people each year. write an equation for the population x years after 2003.
Answers
Answer:
The population after x years will be P = 29000 + 700x
Let the population after the years be represented by P
Population of the town in 2003 = 29000
Annual increase in growth = 700
Then, the population after x years will be:
P = 29000 + 700(x)
P = 29000 + 700x
Therefore, the population will be P = 29000 + 700x.
If the probability of a new employee in a fast-food chain still being with the company at the end of the year is 0. 5, what is the probability that out of 8 newly hired people?
Answers
Using binomial distribution, the probability of
a. 5 will still be with the company after 1 year is 28%.
b. at most 6 will still be with the company after 1 year is 89%.
The probability of a new employee in a fast-food chain still being with the company at the end of the year is given to be 0.6, which can be taken as the success of the experiment, p.
We are finding probability for people, thus, our sample size, n = 8.
Thus, we can show the given experiment a binomial distribution, with n = 8, and p = 0.6.
(i) We are asked for the probability that 5 will still be with the company.
Thus, we take x = 5.
P(X = 5) = (8C5)(0.6⁵)((1 - 0.6)⁸⁻⁵),
or, P(X = 5) = (56)(0.07776)(0.064),
or, P(X = 5) = 0.27869184 ≈ 0.28 or 28%.
(ii) We are asked for the probability that at most 6 will still be with the company.
Thus, our x = 6, and we need to take all values below it also.
P(X ≤ 6)
= 1 - P(X > 6)
= 1 - P(X = 7) - P(X = 8)
= 1 - (8C7)(0.6)⁷((1 - 0.6)⁸⁻⁷) - (8C8)(0.6)⁸((1 - 0.6)⁸⁻⁸)
= 1 - 8*0.0279936*0.4 - 1*0.01679616*1
= 1 - 0.08957952 - 0.01679616
= 0.89362432 ≈ 0.89 or 89%.
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The provided question is incomplete. The complete question is:
If the probability of new employee in a fast-food chain still being with the company at the end of 1 year is 0.6, what is the probability that out of 8 newly hired people,
a. 5 will still be with the company after 1 year?
b. at most 6 will still be with the company after 1 year?
You estimate that you will owe $62,100 in student loans by the time you graduate. The interest rate is 4.6 percent. If you want to have this debt paid in full within 25 years, how much must you pay each month? Monthly payment =$ Allowed attempts: 3 Now suppose you decide to defer your payments for 2 years. What will the balance of your loans be when you start to make payments? (Hint interest will still be charged monthly). New balance =$ Allowed attempts: 3 At this point, how much will you need to pay each month to pay the debt in full over 25 years? New payment =$ Alowed attempts:3 Suppose you want to make up for lost time and pay off your debts within 25 years from graduation, despite the deforral. What monthly payment is required to meat this goal? Monthly payment =$
Answers
Monthly payment before deferral: $345.09. Balance after deferral: $67,901.53. Monthly payment after deferral: $380.57. Monthly payment to pay off debt within 25 years from graduation: $421.63.
To calculate the monthly payment for a student loan, we can use the loan amortization formula.
Monthly payment calculation:
We can use the formula for calculating the monthly payment on an amortizing loan:
PMT = (P * r) / (1 - (1 + r)^(-n))
where PMT is the monthly payment, P is the loan amount, r is the monthly interest rate, and n is the total number of payments.
Given:
P = $62,100 (loan amount)
r = 4.6% per year / 12 months = 0.046/12 (monthly interest rate)
n = 25 years * 12 months = 300 (total number of payments)
Substituting these values into the formula, we can calculate the monthly payment:
PMT = (62,100 * (0.046/12)) / (1 - (1 + (0.046/12))^(-300))
Balance after deferral period:
To calculate the balance after the deferral period of 2 years, we need to calculate the interest accrued during that period and add it to the original loan amount:
Interest accrued during deferral = P * r * deferral period (in years)
New balance = P + Interest accrued during deferral
New monthly payment after deferral period:
To calculate the new monthly payment after the deferral period, we can use the same formula as before, but with the new balance and the remaining number of payments:
New PMT = (New balance * r) / (1 - (1 + r)^(-n))
Monthly payment to pay off the debt within 25 years from graduation:
To calculate the monthly payment to pay off the debt within 25 years from graduation, we need to adjust the remaining number of payments:
Remaining number of payments = 25 years * 12 months - deferral period
Then we can use the same formula as before to calculate the monthly payment.
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a road running north to south crosses a road going east to west at the point pp. car a is driving north along the first road, and car b is driving east along the second road. at a particular time car a is 1010 kilometers to the north of pp and traveling at 80 km/hr, while car b is 15 kilometers to the east of pp and traveling at 100 km/hr. how fast is the distance between the two cars changing?
Answers
The speed at which the gap between the two vehicles is narrowing is 154.4 km/h.
What is unitary method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. what kinds of values and units
Let's say you go to the store to buy six apples.
You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples. Recognizing the units and values is crucial when using the unitary technique to a problem.
Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things.
We are aware of the quantity of apples and the amount of money in the aforesaid problem.
According to our question-
D^2 = (x^2 + y^2) + z^2
2*D*dD/dt = 2*x*dx/dt + 2*y*dy/dt + 0 (since z is constant)
D^2 = c^2 + z^2 = (x^2 + y^2) + z^2 = 10^2 + 15^2 + 2^2 = 100 + 225 + 4 = 329
= 2800/sqrt(329) = 154.4 km/hr
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kara’s family is thinking about renting a van that can travel 3 3/4 miles on 1/5 gallon of gas. Kara wants to know the gas mileage of the van.
Answers
Answer:
\( \frac{\frac{1}{5}}{\frac{15}{4}} \)
Step-by-step explanation:
Given:
Miles a van travel = \( 3\frac{3}{4} \) miles
Gallons of gas required = \( \frac{1}{5} \) gallon of gas
Required:
Unit rate in gallons per mile
SOLUTION:
Unit rate in gallons per mile = (gallons of gas)/miles
Unit rate = \( \frac{\frac{1}{5}}{3\frac{3}{4}} \)
Unit rate = \( \frac{\frac{1}{5}}{\frac{15}{4}} \)
The fraction that represents the unit rate in gallons per mile = \( \frac{\frac{1}{5}}{\frac{15}{4}} \)
Answer:
7/2 and 1/3
Step-by-step explanation:
Look for the fraction that has the number of miles in the numerator and the number of gallons in the denominator
(-2xy + 3 )(xy-1) e cần câu trả lời gấp ạ
Answers
－2x²y²＋2xy＋3xy－3
－2x²y²＋5xy－3
Hope my answer helped u :)
-10 + 4
plz heeeeeelp
Answers
Answer:
-6
Step-by-step explanation:
Answer:
- 6
Step-by-step explanation:
The blue dot is at what value on the number line?
Answers
Answer:
17
Step-by-step explanation:
✌
Harris painted 3 times as many pictures as Xaden painted. Xaden painted 11 pictures. Select the equation that represents this situation. 3 x h = 11 0 ÷ h = 11 h = 11 x 3 h ÷ 11 = 30
Answers
Answer:
h=11x3
Step-by-step explanation:
trust me, I have done this problem already
convert 3:4 to percentage
Answers
Answer:
\(75\%\)
Step-by-step explanation:
\( \frac{3}{4} \times 100\%\)
100 is divided by 4, so you will get 25.
25 multiply 3, you will get 75%
So, the answer is 75%.
Answer:
Step-by-step explanation:
I'm not sure what you're asking for but I'll assume you mean what percentage is the three so:
There are 7 total parts bc 3 + 4 = 7.
3/7 is 42.857142857% repeating decimal
If you mean 3/4 then it's 75% bc 3/4 is 0.75
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
8x – 4y = –24
Answers
Answer: y=2x+6
Step-by-step explanation:
8x-4y=-24
-8x-4y=-8x
-4y=-8x-24
-4 -4
y=8/4x+24/4
Answer is y=2x+6
A new health drink has 150% of the recommended daily allowance (RDA) for a certain vitamin. The RDA for this vitamin is 50 mg. How many milligrams of the vitamin are in the drink? There are nothing mg of the vitamin in the drink.
Answers
Answer:
the number of milligrams of the vitamin in the drink is 75 mg
Step-by-step explanation:
The computation of the number of milligrams of the vitamin in the drink is as follows:
= RDA of the vitamin × given percentage ÷ percentage
= 50 mg × 150 ÷ 100
= 75 mg
hence, the number of milligrams of the vitamin in the drink is 75 mg
We simply applied the above formula so that the correct value could come
And, the same is to be considered
need answer with work out!!
Answers
The volume of the figure is the sum of the volume of the square prism and the volume of the square pyramid which is 67.2cm³
What is the volume of the figure?To calculate the volume of the figure, we need to find the volume of the square prism and the volume of the square pyramid.
The volume of a square prism is given as;
V = L³
l = length of the sides;V = 4³
V = 64cm³
The volume of the square pyramid is given as;
V = 1/3lh
l = length of baseh = height of pyramidV = 1/3 * 4 * 2.4
V = 3.2cm³
The volume of the figure is 64cm³ + 3.2cm³ = 67.2cm³
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what is the area of compiste figure?
Answers
Answer:
V = 2388.16 in3
Step-by-step explanation:
\(V=\pi (4)^{2} (9)+(16)(11)(11)=452.16+1936=2388.16in.^{3}\)
Hope this helps
Explain the difference between finding the vertex of a function written in vertex form and finding the vertex of a function written in standard form.
Answers
The equation in the vertex form will be y = (x + b/2a)² - b²/4a² + c/a and the equation in the standard form will be ax² + bx + c = 0.
What is a quadratic equation?The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.
Convert the standard equation into a vertex form, then we have
x² + (b/a)x + (c/a) = 0
x² + (b/a)x + b²/4a² - b²/4a² + c/a = 0
(x + b/2a)² - b²/4a² + c/a = 0
Put h = - b/2a and k = - b²/4a² + c/a, where (h, k) be the vertex of the parabola. Then the equation will be
(x - h)² + k = 0
The function written in vertex form will be y = (x - h)² + k and in the standard form will be ax² + bx + c = 0.
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The probability that a randomly selected visitor to a certain website will be asked to participate in an online survey is 0. 40. Avery claims that for the next 5 visitors to the site, 2 will be asked to participate in the survey. Is avery interpreting the probability correctly?.
Answers
Avery interpreting the Probability is wrong because 0.40 represents probability in the long run over many visits to the site
What is meant by Probability?Probability: The chance that a given event will occur. The ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes
given that the probability that a randomly selected visitor to a certain website will be asked to participate in an online survey is 0. 40
Avery claims that for the next 5 visitors to the site, 2 will be asked to participate in the survey
Avery interpreting the Probability is wrong because 0.40 represents probability in the long run over many visits to the site
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Answer:
Because 0.40 represents likelihood over many visits to the site in the long term, Avery's interpretation of the probability is incorrect.
Step-by-step explanation:
What does the term probability mean?
Probability: The likelihood that a specific occurrence will take place. the proportion between the total number of conceivable outcomes and the number of outcomes in a comprehensive collection of equally likely outcomes that result in a specific event
Given that there is a 0. 40 percent chance that a randomly chosen website visitor will be requested to take an online survey
Avery asserts that of the following 5 site visits, 2 will be required to complete the survey.
Because 0.40 represents chance over the long term and several visits to the site, Avery's interpretation of the probability is incorrect.
DUE TODAY PLEASE HELP WELL WRITTEN ANSWERS ONLY!!!!!!
Here is the graph of a function describing the relationship between the height y, in feet, of the tip of a windmill blade and the angle of rotation Θ made by the blade. Describe the windmill.
Answers
The equation of the sine wave function can be written in the form: y = A sin(Bθ + C) + D where A is the amplitude, B is the frequency (inverse of the period), C is the phase shift (horizontal shift), and D is the vertical shift (mean value).
What is graph?A graph is a visual representation of data or mathematical relationships between variables. It typically consists of a set of points or vertices connected by lines or curves, which can help to illustrate patterns or trends in the data. Graphs are used in a wide range of fields, including mathematics, science, engineering, economics, and social sciences, to analyze and communicate information. Some common types of graphs include line graphs, bar graphs, scatterplots, and pie charts.
Here,
Based on the given information, it can be inferred that the function that describes the relationship between the height y, in feet, of the tip of a windmill blade and the angle of rotation Θ made by the blade is a sine wave function. Sine wave functions are periodic and oscillate between an upper bound and a lower bound as the angle increases. The function has a maximum value (upper bound) at Θ=90° and Θ=270° and a minimum value (lower bound) at Θ=0° and Θ=180°. The amplitude of the function is the distance between the maximum and minimum values divided by 2, and the period of the function is the distance between two consecutive maxima or minima.
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