Answer:
\(\frac{3}{7}\)
Step-by-step explanation:
expressing the ratio as a fraction, that is
27 : 63
= \(\frac{27}{63}\) ( cancel numerator/ denominator by 9 )
= \(\frac{3}{7}\) ← in simplest form
Is this a function? plz help me i need help
Answer:
yes it is
Step-by-step explanation:
How would you describe this pattern's rule?
16, 11, 6, 1
Answer:
Subtracting the number 5 every time.
You want the banner to be 80% of the height of the building. you know your height (5.5 feet) is similar to the height of the building. your math teacher offers a suggestion that you can determine the height of the building by placing a mirror on the ground a set distance away from the building. your club follows those directions and puts a mirror on the ground 40 feet away from the building and you stand 4 feet away from the mirror. how tall is the building?
The height of the building is 55 feet and can be determined using the mirror method.
To calculate the height of the building, we can use the concept of similar triangles. The distance from the mirror to the building is 40 feet, and the distance from you to the mirror is 4 feet. Since your height is similar to the height of the building, we can set up the following proportion:
(height of the building) / (distance from the mirror to the building) = (your height) / (distance from you to the mirror)
Let's substitute the given values into the proportion:
(height of the building) / 40 feet = 5.5 feet / 4 feet
To solve for the height of the building, we can cross-multiply and then divide:
(height of the building) = (5.5 feet / 4 feet) * 40 feet
(height of the building) = 55 feet
Therefore, the height of the building is 55 feet.
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Jayce wants to buy a tancy bike today, the first of the month, which is priced at the non-regotint amount of \$30,000. Jabce is willing to finance the bike at monthly rate of 1% and to muke monthly payments of $500 at the end of each month for 5 years. Find the down payment/
The down payment for Jayce to purchase the tancy bike today would be $7,440.
To find the down payment, we need to calculate the total amount that Jayce will finance for the tancy bike.
The tancy bike is priced at $30,000. Jayce will make monthly payments of $500 for 5 years, which is equivalent to 60 months. The monthly interest rate is 1% or 0.01.
We can use the present value formula to determine the financed amount:
Financed amount = (Monthly payment * (1 - (1 + interest rate)^-number of months)) / interest rate
Substituting the values into the formula:
Financed amount = ($500 * (1 - (1 + 0.01)^-60)) / 0.01
Financed amount = ($500 * (1 - 0.5488)) / 0.01
Financed amount = ($500 * 0.4512) / 0.01
Financed amount = $22,560
The down payment is the difference between the price of the bike and the financed amount:
Down payment = Price of the bike - Financed amount
Down payment = $30,000 - $22,560
Down payment = $7,440
Therefore, the down payment for Jayce to purchase the tancy bike today would be $7,440.
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HELP TIMED TEST WILL GIVE BRAINLIEST !!
Which pair of sides is perpendicular?
A. Side 1 and Side 3
B. Side 2 and Side 3
C. Side 1 and Side 4
D. Side 2 and Side 4
Answer:
B. side 2 and side 3
Step-by-step explanation:
perpendicular if thr relationship of 2 lines that meet at a 90 degree angle which is what sides 2 and 3 do.
NEED HELP ASAP
Set D contains all the integers between -7 through 6, excluding -7 and 6. Set E contains the
absolute values of all the numbers in Set D. How many numbers are in the intersection of sets D
and E?
(A) O
(B) 2
(C) 4
(D) 6
(E) 7
The number of numbers in the intersection of sets D and E is E. 7
To determine the number of numbers in the intersection of sets D and E, we need to understand the composition of each set.
Set D contains all the integers between -7 and 6, excluding -7 and 6. This means it includes the numbers -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, and 5. There are a total of 12 numbers in set D.
Set E contains the absolute values of all the numbers in set D. This means we take the absolute value of each number in set D. The absolute value of a number is its distance from zero on the number line, so it will always be positive or zero.
Considering the numbers in set D, the absolute values would be 6, 5, 4, 3, 2, 1, 0, 1, 2, 3, 4, and 5. Notice that for each positive number in set D, its absolute value will be the same. Therefore, the intersection of sets D and E will only include the positive numbers.
In this case, the numbers in the intersection are 1, 2, 3, 4, and 5. Hence, there are 5 numbers in the intersection of sets D and E. Therefore, Option E is correct.
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An electrician charges $40 to come to your house. She also charges $55 for each hour that she works. The electrician charges you a total of $205. How many hours does the electrician work at your house? Use h for the number of hours.
As a fundraiser, the local charity is raffling off a prize worth $400.00. They plan to sell 1100 tickets at a cost of $1.00 each. What is the expected value per ticket from the standpoint of the charity? Round your answer to the nearest cent. Nope. Explain what the expected value represents. It represents how much a ticket would cost if the charity wanted to break even. O It represents the total amount that the charity earns by running the raffle. O It represents the average amount that the charity earns by selling one ticket
The expected value per ticket from the standpoint of the charity is $0.27.
The expected value represents the average amount that the charity earns by selling one ticket. In this case, the charity plans to sell 1100 tickets at a cost of $1.00 each, resulting in a total revenue of $1100.00. Since there is only one prize worth $400.00, the charity's net earnings will be $700.00 ($1100.00 - $400.00) if all the tickets are sold.
To calculate the expected value per ticket, we divide the net earnings by the number of tickets sold, which is $0.64 ($700.00 / 1100). Rounded to the nearest cent, the expected value per ticket is $0.27.
The expected value is a useful concept for assessing the potential outcomes of an event. In this context, it helps the charity estimate the average amount they can expect to earn per ticket sold. It is important to note that the expected value is not necessarily the actual amount that will be earned from each ticket, as individual outcomes can vary. However, it provides a baseline estimate based on probabilities and can help the charity make informed decisions about their fundraising efforts.
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3. A landscape plan includes a rectangular flower bed that is surrounded the wood planks. In the drawing, the rectangular flower bed is 8 in. by 12 in. The length and width of the actual flower bed will be 26 times larger than the length and width in the drawing.
(a) What is the perimeter of the drawing? Show all calculations that lead to the answer and include units.
(b) What is the perimeter of the actual flower bed? Show all calculations that lead to the answer and include units.
(c) What is the effect on the perimeter of the flower bed with the dimensions are multiplied by 26? Write the final answer in a sentence and show supporting calculations to arrive at the answer.
Answer:I dont know if this is right but
A: 384 in.
B: 1040 in. = 86 ft
C: because the dimensions are multiplied by 26 inches, the perimeter for the actual flower bed is converted into feet.
Step-by-step explanation:
A: (8*2)+(12*2) = 384 in.
B: ((8*26)*2)+((12*26)*2) = 1040 in. = 86 ft.
Answer:
3. A landscape plan includes a rectangular flower bed that is surrounded the wood planks. In the drawing, the rectangular flower bed is 8 in. by 12 in. The length and width of the actual flower bed will be 26 times larger than the length and width in the drawing.
(a) What is the perimeter of the drawing? Show all calculations that lead to the answer and include units.
(b) What is the perimeter of the actual flower bed? Show all calculations that lead to the answer and include units.
(c) What is the effect on the perimeter of the flower bed with the dimensions are multiplied by 26? Write the final answer in a sentence and show supporting calculations to arrive at the answer.
Answer:
(A) 8+8+12+12=
40in = 3ft 4in
(B) 8 x 26= 208
12 x 26= 312
(208 x 2) + (312 x 2) = 1040in = 86ft
Step-by-step explanation:
Find the area and perimeter of a rectangle if the length is (x+7) and the width is (x+3).
Answer:
P=4x+20
A=x^2+10x+21
Step-by-step explanation:
Perimeter=2(x+7)+2(x+3)
2x+14+2x+6
4x+20
Area=(x+7)(x+3)
x^2+10x+21
l = (x + 3)
b = (x + 7)
Area:
= I x b
= (x + 3)(x + 7)
= x(x + 7) + 3(x + 7)
= x² + 7x + 3x + 21
= x² + 10x + 21
Perimeter:
= 2(l + b)
= 2((x + 3) + (x + 7)) = 2(2x + 10)
= 2(x + 3 + x + 7)
= 4x + 20
Jaime will choose between two banquet services for a party. Service A charges a $ 500 organization fee plus $ 25 for each guest. Service B charges a $ 200 organization fee plus $ 30 for each guest. what is the cost of one guest?
Answer:
Service B
Step-by-step explanation:
Beacuse it is taking less money
HELP NOWWWW LOOK AT IMAGE NOWW
After multiplying the simplified expression is \(\frac{-x+5}{2x + 6}\) ; x ≠ -3 , 3 , -2 , -5 , the correct option is (b) .
In the question ,
it is given that ,
the expression is (x²-25)/(2x²+10x+12) × (-x²+x+6)/(x²+2x-15)
we need to find the value of the expression after multiplication .
= (x²-25)/(2x²+10x+12) × (-x²+x+6)/(x²+2x-15)
On splitting the given quadratic equation into factors , we get
= (x+5)(x-5)/2(x+3)(x+2) × -(x+2)(x-3)/(x-3)(x+5)
= \(\frac{(x+5)(x-5)}{2(x+3)(x+2)}\) × \(\frac{-(x+2)(x-3)}{(x-3)(x+5)}\)
After cancelling out the common factors , we get
= -(x - 5)/2(x + 3)
= -x+5 / 2x + 6
= \(\frac{-x+5}{2x + 6}\) : x ≠ -3 , 3 , -2 , -5
Therefore , After multiplying the simplified expression is \(\frac{-x+5}{2x + 6}\) ; x ≠ -3 , 3 , -2 , -5 .
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create two linear functions that are parallel.
Answer:
y = 2x + 3
y = 2x -4
Step-by-step explanation:
for lines to be parallel, you need to have the same slope
the y intercept doesn't really matter, the intercepts just have to be different
the conch café, located in gulf shores, alabama, features casual lunches with a great view of the gulf of mexico. to accommodate the increase in business during the summer vacation season, fuzzy conch, the owner, hires a large number of servers as seasonal help. when he interviews a prospective server, he would like to provide data on the amount a server can earn in tips. he believes that the amount of the bill and the number of diners are both related to the amount of the tip. he gathered the following sample information. customeramount of tipamount of billnumber of dinerscustomeramount of tipamount of billnumber of diners 1$ 8.00$ 48.84216$ 3.30$ 23.462 23.2028.361173.5022.302
To gain a deeper understanding of the relationship between the amount of the bill, the number of diners, and the amount of tips earned by servers at The Conch Café, Fuzzy Conch should continue collecting data from additional customers.
Based on the information provided, Fuzzy Conch, the owner of The Conch Café in Gulf Shores, Alabama, wants to gather data on the amount a server can earn in tips. He believes that the amount of the tip is related to both the amount of the bill and the number of diners. Here is the sample information he gathered:
Customer 1:
- Amount of tip: $8.00
- Amount of bill: $48.84
- Number of diners: 2
Customer 2:
- Amount of tip: $3.30
- Amount of bill: $23.46
- Number of diners: 3
Based on this information, we can see that the amount of the tip can vary depending on the amount of the bill and the number of diners. Fuzzy Conch should continue collecting data from other customers to further analyze the relationship between these variables and the amount of tips earned by servers at The Conch Café.
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Kim invested $11,000 in two mutual funds. One of the funds rose 6% in one year, and the other rose 9% in one year. If Kim’s investment rose a total of $846 in one year, how much did he invest in each mutual fund?
If Kim invested $11,000 in two mutual funds. Kim invested $4,800 in one mutual fund and $6,200 in the other mutual fund.
What is the amount invested?Kim invested x amount in the fund that rose by 6%
Kim invested (11,000 - x) amount in the fund that rose by 9%.
Increase in value from the first fund = 0.06x.
Increase in value from the second fund = 0.09(11,000 - x).
Total increase in value is $846
So,
0.06x + 0.09(11,000 - x) = 846
Let's solve this equation:
0.06x + 990 - 0.09x = 846
-0.03x = -144
x = -144 / -0.03
x = 4,800
Kim invested $4,800 in the fund that rose by 6% and the remaining amount of $11,000 - $4,800 = $6,200 in the fund that rose by 9%.
Therefore Kim invested $4,800 in one mutual fund and $6,200 in the other mutual fund.
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Suppose you have an outdoor pool measuring 25 ft by 10ft . You want to add a cement walkway around the pool. If the walkway will be 1 ft thick and you have 304 ft³ of cement, how wide should the walkway be?
The area covered by the pool and the cement walkway is 304 square feet. The width of the walkway would be 5 feet
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
Let x be represent the width of the walkway.
The pool measures 25 ft by 10ft . If the walkway must have a uniform width around the entire pool, then the total length of the pool and the walkway = 25+ x + x = 25 + 2x
The total width of the pool and the walkway = 10 + x + x = 10 + 2x
The area covered by the pool and the cement walkway is 304 square feet. This means that;
(25 + 2x)(10 + 2x) = 304
250 + 50x + 20x + 4x^2 = 304
4x^2 + 70x + 250 - 304 = 0
4x^2 + 70x - 54 = 0
x(x + 20) - 5(x + 20) = 0
(x - 5)(x + 20) = 0
x = 5 or x = - 20
Thus The width cannot be negative.
Therefore, the width of the walkway is 5 feet.
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You need 3 sticks of butter for every 24cookies you bake.
Complete the table using equivalent ratios.
Sticks of butter Number of cookies
3 24
?
16 ?
5 ?
The table formed using equivalent ratios.
16 : 128
5 : 40.
Explain the term equivalent ratios?When we compare two ratios, they are said to be equivalent. To determine whether two or more ratios are equivalent, they can be compared to one another. For instance, 1:2 and 2:4 have the same ratio.3 sticks of butter -----> 24 cookies.
Let the number of cookies made for other stick of butter be 'y'.
Then, number cookies for the 16 sticks of butter
3/24 = 16/ y
y = 16*24 / 3
y = 128 cookies.
Again, number cookies for the 5 sticks of butter
3/24 = 5/ y
y = 5*24 / 3
y = 40 cookies.
Thus, number of cookies made by 5 sticks of buter are 40.
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Find the distance between the following numbers on a number line.a = 8, b = -9Answer
Solution:
Given:
The numbers are represented on the number line below;
The distance between the numbers can be gotten by moving from one number to the other counting the number of steps taken.
Hence,
Therefore, the distance between the numbers on the number line is 17.
parametrize the part of the cone z^2=x^2 y^2, z>= 0 that lies between the plane y=x and the cylinder y=x^2
To parametrize the part of the cone that lies between the plane y=x and the cylinder y=x^2, we can use cylindrical coordinates.
Let r be the radius and theta be the angle in the xy-plane. Then, since z >= 0, we can use z = r cos(phi), where phi is the angle between the positive z-axis and the line connecting the point (x,y,z) to the origin. Since z^2 = x^2 y^2, we have r^2 cos^2(phi) = r^2 sin^2(phi) cos^2(theta) sin^2(theta), which simplifies to cos^2(phi) = sin^2(phi) cos^2(theta) sin^2(theta). Solving for r in terms of phi and theta, we get r = sin(phi) cos(theta) sin(theta)/cos(phi). Thus, a parametrization of the part of the cone is (r,theta,phi) = (sin(phi) cos(theta) sin(theta)/cos(phi), theta, phi), where phi ranges from 0 to arctan(sqrt(2)) and theta ranges from 0 to pi/2. (Word count: 100)
To parametrize the part of the cone z^2 = x^2 + y^2 with z ≥ 0, lying between the plane y = x and the cylinder y = x^2, we can use the following parametrization:
Let x = x and y = x^2, so the cylinder constraint is satisfied. Then, we can express z as a function of x using the cone equation: z^2 = x^2 + (x^2)^2. Taking the square root, we get z = sqrt(x^4 + x^2).
Now, our parametrization is:
r(x) = (x, x^2, sqrt(x^4 + x^2))
The range of x is determined by the intersection of the plane and cylinder: x^2 = x, which gives x = 0 and x = 1. Therefore, the parametrization is valid for 0 ≤ x ≤ 1.
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The fuel flowing to an engine of a small aircraft can be modelled by a quadratic
equation over a limited range of speeds using the relation f = 0.0048v2
- 0.96v + 64
where f represents the flow of fuel, in litres per hour, and v represents speed, in kilometres per hour. Determine the speed that minimizes fuel flow.
Answer: So, the speed that minimizes fuel flow is 400 km/h.
Step-by-step explanation:
To determine the speed that minimizes fuel flow, we need to find the vertex of the parabola represented by the equation f = 0.0048v^2 - 0.96v + 64. The vertex of a parabola in the form of y = a(x - h)^2 + k is (h, k).
To find h, we can use the formula h = -b / (2a) = -(-0.96) / (2 * 0.0048) = 400
To find k, we can substitute h and v = 400 into the original equation:
f = 0.0048(400)^2 - 0.96(400) + 64 = 64
So, the speed that minimizes fuel flow is 400 km/h.
If 85% of dentists recommend Crest toothpaste, what percent do not recommend Crest?
Answer:
15%
Step-by-step explanation:
100% - 85% = 15%
the reciprocal parent function is translated 3 units left and 8 units up.
1. write an equation to represent the function.
2. identify the horizontal asymptote.
3. identify the vertical asymptote.
The equation to represent the function is f"(x) = (-1/ x + 3 )+ 8
The asymptotes is (x, y) = (-3, 8)
Given,
Let the reciprocal function be:
f(x) = 1/x
First, it was reflected across the x-axis.
The rule is: (x,-y)
So, we have:
f'(x) = -1/x
Next, translated 3 units left.
The rule is: (x, y) => (x + 3, y)
So:
f"(x) = -1/ x + 3
Lastly, translated 8 units up.
The rule is: (x, y) => (x, y + 8)
So:
f"(x) = -1/ x + 3 + 8
To get the vertical asymptote, we simply equate the denominator to 0.
i.e.
x + 3 = 0
x = -3
To get the horizontal asymptote, we simply equate y to the constant.
i.e.
y = 8
(x, y) = (-3, 8)
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Ise synthetic division to find the result when x^(4)+8x^(3)+16x^(2)-x-18 is ivided by x+3. If there is a remainder, express the result in the form (x)+(r(x))/(b(x))
The result of dividing x⁴ + 8x³ + 16x² - x - 18 by x + 3 is (x³ + 5x² + x - 4).
To perform synthetic division, we set up the problem as follows:
-3 │ 1 8 16 -1 -18
│
To start, we bring down the coefficient of the highest power term, which is 1:
-3 │ 1 8 16 -1 -18
│
│ 1
Next, we multiply -3 by the value we just brought down (1), and write the result below the next coefficient:
-3 │ 1 8 16 -1 -18
│ -3
│ 1
We then add the corresponding terms
-3 │ 1 8 16 -1 -18
│ -3
│--------
│ 1 5
We repeat the process by multiplying -3 with the new value (5), and write the result below the next coefficient:
-3 │ 1 8 16 -1 -18
│ -3 -15
│--------
│ 1 5 1
We continue with the process:
-3 │ 1 8 16 -1 -18
│ -3 -15 -3
│-----------------
│ 1 5 1 -4
The resulting expression after performing synthetic division is 1x³ + 5x² + x - 4. There is no remainder in this case.
Therefore, the result of dividing x⁴ + 8x³ + 16x² - x - 18 by x + 3 is (x³ + 5x² + x - 4).
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find the value of x and y. SHOW WORK
Factor -y^2+3y+4 please hurry
Answer:
Step-by-step explanation:
1 . remove the negative by factoring out that first:
-(y^2-3y-4).
2 . Then try to find a common pair. In this case, its going to be -4 and 1.
-(y+1)(y-4).
3 . Lastly, bring back the negative by factoring it into one of the equations.
(1-y)(y-4).
Answer:
Props to the guy above me for taking the time to write all that but like if you dont want to read that whole book, here is the answer (1-y)(y-4).
Step-by-step explanation:
I did the test
Hope this helps :)
a 95% confidence interval for the mean of a population is to be constructed and must be accurate to within 0.3 unit. a preliminary sample standard deviation is 1.5. the smallest sample size n that provides the desired accuracy is a) 97 b) 91 c) 109 d) 101 e) 93 f) none of the above
the smallest sample size n that provides the desired accuracy is a) 97 that is Sample size should be atleast 97
given that a 95% confidence interval for the mean of a population is to be constructed and must be accurate to within 0.3 unit.
i.e. margin of error <0.3
Std devition sample = 1.5
For 95% assuming sample size large we can use z critical value
Z critical = 1.96
we have
1.96*1.5/\(\sqrt{n}\)< 0.3
9.8 < \(\sqrt{n}\)
n> 96.04
approximate 97
Sample size should be atleast 97 to get an accurate margin of error 0.3
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Please help me i will make you brainliest
Answer:
median ( the middle value)is 9.
dave is 15 years old and his uncle rob is three times as old. when dave will be 32 years old, his uncle rob will be
By considering ages and equations we have,
Uncle Rob will be 62 years old when Dave is 32.
Dave is listed as being 15 years old, while his uncle Rob is listed as being three times Dave's age. Rob's age as of right now may be calculated using the formula below:
Age of Rob is Dave times three.
Using Dave's age as a plug-in, we obtain following equations,
Rob's age is equal to 15 + 3 = 45.
Rob is currently 45 years old, according to this.
We need to know how many years it will be before Dave turns 32 in order to calculate Rob's age at that time. By deducting Dave's present age from his anticipated age, we may determine this:
Years from now = Dave's age in the future minus Dave's age currently
By entering the specified values, we obtain:
The number of years from now is equal to 32 - 15 = 17 years.
Dave will turn 32 in 17 years, according to this.
We may multiply Rob's current age by the number of years from now to determine his age at that point:
When Dave reaches the age of 32, Rob will be that age plus the number of years.
When we enter the calculated values, we obtain:
When Dave is 32 years old, Rob will be 45 + 17 years old, or 62 years old.
So, Dave uncle rob 's age will be 62 years old.
As a result, when Dave's age is 32, his uncle Rob's age will be 62.
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A line passes through the point (8,9) and has a slope of 3/4
What is the equation in slope intercept form for this line
Answer: \(y=\frac{3}{4}x+3\)
Step-by-step explanation:
Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. Since we are given slope, we can plug that into m, and use the given point to find the y-intercept.
\(y=\frac{3}{4}x+b\) [plug in (8,9)]
\(9=\frac{3}{4}(8)+b\) [multiply]
\(9=6+b\) [subtract both sides by 6]
\(b=3\)
Now that we have b, we can complete the equation to \(y=\frac{3}{4}x+3\).
Select the correct answer.Solomon is planning to recover a lampshade. How much fabric does he need?12 cm16 cm12 cmA. 912 cm²B. 2,304 cm²C. 768 cm²D. 1;056 cm²
Answer:
C - 768cm for Plato
Step-by-step explanation: