The least to greatest of the ratio is 18 : 32, 5 : 8, and 11 : 16
Arrange from least to greatestLeast to greatest arrangement can also be referred to as ascending order. Ascending order is the order such that each element is greater than or equal to the previous element.
5 : 8
= 5/8
= 0.625
11 : 16
= 11/16
= 0.6875
18 : 32
= 18/32
= 0.5625
Therefore, the ratio can be arranged as 18 : 32, 5 : 8, and 11 : 16 in ascending order.
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What is
f(x) = x3 – 4x2 – 7x + 10 in factored form given that 5 is a zero of the function?
Answer:
(x-2)(x+1)(x-5)
Step-by-step explanation:
Help me please thank u
Answer:
4+3n
Step-by-step explanation:
We get the formula 4+3n because the pattern is +3 each term starting with the first term as 7. Since the first term is 7, we get 4+3n.
Write 18 hundreds 11 tens in standard form.
The standard form of "18 hundreds 11 tens" is 1910.
To write "18 hundreds 11 tens" in standard form, we need to convert the given number into its numerical representation.
We know that 1 hundred is equal to 100, and 1 ten is equal to 10.
So, to find the numerical value of "18 hundreds 11 tens," we multiply the respective values by their place values and then add them together.
18 hundreds = 18 x 100 = 1800
11 tens = 11 x 10 = 110
To find the standard form, we add the two values:
1800 + 110 = 1910
Therefore, "18 hundreds 11 tens" in standard form is 1910.
In standard form, numbers are written using digits, without any reference to place value units like hundreds or tens.
The standard form of a number represents its numerical value directly. So, the numerical value of "18 hundreds 11 tens" is 1910, which is its standard form.
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Choose the system of inequalities that best matches the graph below.
Answer: D
Step-by-step explanation:
Hope it helps
how many ways can the letters in the word PARALLEL be arrangedsolution to use : distinguishable permutation
We have to calculate in how many ways can the letters in the word PARALLEL be arranged.
We start by listing the unique letters and how many times each one appear in the word.
We have one P, two A's, one R, three L's and one E, for a total of 8 letters.
We then can express this as a permutation like this:
\(\begin{gathered} P=\frac{N!}{\sum n_i!} \\ P=\frac{8!}{2!3!}=\frac{40320}{2\cdot6}=3360 \end{gathered}\)NOTE: "ni" is the number of repetitions of each letter that repeats more than one time. In this case, we have two A's and three L's.
Answer: there are 3360 permutations.
Which statement best describes discretionary government spending?
Back
A. A fixed amount of money spent on the same categories every year
B. The money used to pay for Social Security and Medicare
C. A changing amount of money spent on different categories each year
D. Money that you determine how it is spent by the government when you submit your taxes
Select an answer
C. A changing amount of money spent on different categories each year
What is amount?Amount is a term used to describe a quantity of something, typically money. It is often used to refer to the total value of a financial transaction or the sum of multiple payments. Amount can also refer to any other quantifiable measure, such as a number of items, units of time, or a volume or quantity of something.
Discretionary government spending is a type of government spending that is determined each year by the Congress, and typically includes funds for defense, education, infrastructure, and other government programs. The amount of money spent on each category can vary from year to year, making it a type of changing, or discretionary, spending.
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A turtle pack that normally sells for $39 is on sale for 33% off. Find the
amount of the discount and the sale price.
IS
In August, Donatello's water bill was $48. In September it was 15% higher
Answer:
67% discounted
26
555.2
Step-by-step explanation:
39 - 13 = 26
48 x 1.15 = 55.2
Find the point on a circle that has a radius of 8 with an angle of rotation of 130 degrees centered at (-3,5)?
an athlete eats 55kg of protein a day while training. How much protein will she eat during 23 days of training?
Answer:
1265 kg of protein
Step-by-step explanation:
If 55kg is eaten in one day then in 23 days there will be x kgs.
To find 'x':
55 x 23 = 1265
write a question in y=a x b^x whose graph passes through the Coordinate points (2,12) and (3,24)
The graph of y = 3 x 2^x passes through the coordinate points (2,12) and (3,24).
To write a question in the form of y=a x b^x that passes through the coordinate points (2,12) and (3,24), we need to solve for the values of a and b.
First, let's substitute the coordinates (2,12) into the equation:
12 = a x b^2
Next, let's substitute the coordinates (3,24) into the equation:
24 = a x b^3
We now have two equations with two unknowns (a and b), which we can solve using algebra.
From the first equation, we can solve for a:
a = 12 / b^2
We can then substitute this value of a into the second equation:
24 = (12 / b^2) x b^3
Simplifying this equation, we get:
2 = b
We can then substitute this value of b back into the equation for a:
a = 12 / 2^2
a = 3
Therefore, the equation of the graph that passes through the coordinate points (2,12) and (3,24) is:
y = 3 x 2^x
We can check that this equation is correct by plugging in the coordinates:
When x = 2: y = 3 x 2^2 = 12
When x = 3: y = 3 x 2^3 = 24
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The curved surface area of a cylinder is
250 cm2. If the cylinder is 12 cm high, find
its volume.
9514 1404 393
Answer:
414.5 cm³
Step-by-step explanation:
The lateral area of a cylinder is given by the formula ...
LA = 2πrh
Then the radius is ...
r = LA/(2πh)
The volume of the cylinder is given by ...
V = πr²h
Using the above expression for r, this becomes ...
V = π(LA/(2πh))²h = LA²/(4πh)
V = (250 cm²)²/(4π·12 cm) ≈ 414.47 cm³
The volume of the cylinder is about 414.5 cm³.
I just need the answer please n thank u<3
Answer:
C. \(x=-9 \textsf{ and }x=1\)
Step-by-step explanation:
\((x+4)^2=25\)
\((x+4)(x+4)=25\)
expand the brackets:
\(x^2+8x+16=25\)
subtract 25 from both sides:
\(x^2+8x-9=0\)
factor:
\(x^2+9x-x-9=0\)
\(x(x+9)-1(x+9)=0\)
\((x-1)(x+9)=0\)
solve for x:
\(x-1=0 \implies x=1\)
\(x+9=0 \implies x=-9\)
Evaluate 15s for s= 2.
When s= 2, 15s =
Answer: 30
Step-by-step explanation:
If s is 2, the new equation would be 15x2, which is 30.
Answer:
30
Step-by-step explanation:
\(15 \times 2 = 30\)
I think this is the answer
Question 7 of 25
If F(x) = 2x-5 and G(X) = x2 + 1, what is G(F(x))?
O A. 4x2 + 26
O B. 2x2 + 2x-5
O C. 4x2 - 20x + 26
O D. 2x3-5
Answer: C
Step-by-step explanation:
G(F(x)) means F(x) is being plugged into every x in G(x). Since we are given the G(x) and F(x) functions, we can directly plug 2x-5 into x²+1.
G(F(x))=G(2x-5)
G(F(x))=(2x-5)²+1 [use FOIL method to expand (2x-5)²]
G(F(x))=(4x²-10x-10x+25)+1 [combine like terms]
G(F(x))=4x²-20x+26
Now that we have found G(F(x))=4x²-20x+26, we know that the answer is C.
Nadine asked 50 people what subject they like most in math, English and science. Here is some information about its results. 19 of the 25 men said they liked science the most. 5 females said they liked English the most. Of the 7 people who said they liked math the most, 4 were women. Determine the number of people who like science the most.
Answer:
25 People said they liked science the most.
Step-by-step explanation:
it says 19 of 25, thus meaning its 25 men
Answer:
35
Step-by-step explanation:
25 men, 25 women
19/25 men like science
5/25 women like english
3/25 men like math
4/25 women like math
31/50 people have chosen something as the information given tells
4+5=9 25-9=16
16+19=answer the answer is 35
Write the equation of the line that passes through the points (8,-1) and (2,-5) in standard from, given that the point-slope form is y+1=2/3(x-8)
____x+____y=____
Answer: 2/3x-y=19/3
Step-by-step explanation:
Points are useless since we already know the point slope form and we can just simply that
y+1=2/3(x-8)
y+1=2/3x-16/3
y=2/3x-19/3
2/3x-y=19/3
The graph of a function must be linear if it has what characteristic?
The graph of a function must be linear if it has ''a constant slope.''
What is linear expression?A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Given that;
The graph of a function must be linear.
Now,
We know that;
A linear function graphs as a straight line if It will have a constant rate of change.
Thus, The graph of a function must be linear if it has ''a constant slope.''
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chloe is buying a mixed nuts at a grocery store. she can either spend $7.93 on a 15.25 ounce bag or 11.75 on a 25 ounce bag. which is a better buy?
Answer:
25 ounce bag
Step-by-step explanation:
A Web music store offers two versions of a popular song. The size of the standard version is 2.9 megabytes (MB). The size of the high-quality version is 4.5 MB. Yesterday, there were 1450 downloads of the song, for a total download size of 5629 MB. How many downloads of the standard version were there?
The number of downloads that were standard version were 560 songs.
How many downloads of the standard version were there?The first step is to form a system of equations:
2.9s + 4.5h = 5629 equation 1
s + h = 1450 equation 2
Where:
s = number of standard songs downloaded h = number of high quality songs downloadedMultiply equation 2 by 4.5:
4.5s + 4.5h = 6525 equation 3
Subtract equation 3 from equation 1:
896 = 1.6s
Divide both sides of the equation by 1.6:
s = 560
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The partial sum of terms 12 to 15 of the arithmetic sequence 100, 88, 76, 64, … is?
A. –200
B. –68
C. 240
D. 408
Answer:
A. -200
Step-by-step explanation:
The sum of n terms of an arithmetic sequence is given by the formula ...
Sn = (2·a1 +d(n -1))(n/2)
where a1 is the first term of the sequence, and d is the common difference.
This problem requires we find the sum of 4 terms of a sequence that begins 100, 88, 76, .... Those terms are the 12th through the 15th.
__
general termThe general term of an arithmetic sequence is given by the formula ...
an = a1 +d(n-1)
where a1 is the first term and d is the common difference.
The given sequence has first term a1=100, and common difference ...
d = 88 -100 = -12
Then the general term is ...
an = 100 -12(n -1)
__
partial sequenceWe want the sum of terms 12–15. The first term of this sub-sequence is ...
a12 = 100 -12(12 -1) = 100 -132 = -32
The next terms of the sequence will have the same common difference, -12. We can use the given sum formula to find the sum of the four terms:
Sn = (2·a1 +d(n -1))(n/2) . . . . . . . for a1=-32, d=-12, and n=4
S4 = (2·(-32) -12(4 -1))(4/2) = (-64 -36)(2) = -200
The sum of the 12th to 15th terms of the given sequence is -200.
The width of a rectangular slab of concrete is 14 m less than the length. The area is 32 m². What are dimensions of rectangle? The length of the slab?
The dimensions of the rectangular slab are 16 meters in length and 2 meters in width.
Let's assume the length of the rectangular slab of concrete is L meters. According to the given information, the width is 14 meters less than the length, so the width would be L - 14 meters.
The formula for the area of a rectangle is A = length × width. In this case, the area is given as 32 m², so we can set up the equation:
32 = L × (L - 14)
Expanding the equation, we get:
32 = L² - 14L
Rearranging the equation, we have:
L² - 14L - 32 = 0
To solve this quadratic equation, we can either factorize it or use the quadratic formula. In this case, it's easier to use the quadratic formula:
L = (-b ± √(b² - 4ac)) / (2a)
Here, a = 1, b = -14, and c = -32. Substituting these values into the formula, we get:
L = (14 ± √((-14)² - 4 × 1 × (-32))) / (2 × 1)
Simplifying further:
L = (14 ± √(196 + 128)) / 2
L = (14 ± √324) / 2
L = (14 ± 18) / 2
Therefore, we have two possible values for L:
L₁ = (14 + 18) / 2 = 16
L₂ = (14 - 18) / 2 = -2
Since the length of the slab cannot be negative, we discard the negative value.
Thus, the length of the rectangular slab is 16 meters. To find the width, we subtract 14 meters from the length:
Width = 16 - 14 = 2 meters
Therefore, the dimensions of the rectangle are 16 meters by 2 meters.
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PLEASE ASAP 100 POITNS
a) Jill jumped 6 7/8 feet in the long-jump event. Jill’s best friend jumped 6 15/16 feet. How much farther did Jill’s best friend jump? Describe in words the process you used to solve the problem. (2 points)
b) If Jill’s best friend jumped farther than 6.5 feet, then she beat the school record and the seventh graders earn 50 points. If not, the eighth graders earn 50 points. Which grade should be awarded 50 points**? (1 point)
c) Claire and her partner, Grace, are throwing for the javelin event as a team. Claire threw the javelin 42 5/8 feet and Grace threw it 39 3/5 feet. If Claire and Grace combined their distances, what would their total feet thrown be? Show your work. (2 points)
d) If the total distance of Claire and Grace is greater than 83.7 feet, then the seventh graders earn 50 points. If not, then the eighth graders earn 50 points. Which grade should be awarded 50 points**? (1 point).
Answer:
Step-by-step explanation:
a) To find how much farther Jill's best friend jumped, we need to subtract Jill's distance from her best friend's distance. First, we need to convert both distances to the same unit, in this case inches. 6 7/8 feet is equal to 6 7/8 * 12 inches/foot = 82 7/8 inches. 6 15/16 feet is equal to 6 15/16 * 12 inches/foot = 83 16/16 inches. Now that both distances are in inches, we can subtract them: 83 16/16 inches - 82 7/8 inches = 1 9/16 inches. Therefore, Jill's best friend jumped 1 9/16 inches farther.
b) To determine if Jill's best friend beat the school record, we need to compare her distance to the record distance. The record distance for seventh graders is 6 feet 1 3/5 inches, which is equal to 6 1/5 * 12 inches/foot = 74 inches. Jill's best friend jumped 83 16/16 inches, which is greater than 74 inches. Therefore, Jill's best friend beat the school record and the seventh graders should be awarded 50 points.
c) To find the total distance thrown by Claire and Grace, we need to add their individual distances. First, we need to convert both distances to the same unit, in this case inches. 42 5/8 feet is equal to 42 5/8 * 12 inches/foot = 510 5/8 inches. 39 3/5 feet is equal to 39 3/5 * 12 inches/foot = 472 3/5 inches. Now that both distances are in inches, we can add them: 510 5/8 inches + 472 3/5 inches = 983 8/5 inches. Therefore, the total distance thrown by Claire and Grace is 983 8/5 inches.
d) To determine if the total distance thrown by Claire and Grace is greater than 83.7 feet, we need to compare their distance to the record distance. The record distance for seventh graders is 83.7 feet, which is equal to 83.7 * 12 inches/foot = 1004.4 inches. The total distance thrown by Claire and Grace is 983 8/5 inches, which is less than 1004.4 inches. Therefore, the total distance thrown by Claire and Grace is not greater than the record distance and the eighth graders should be awarded 50 points.
What is the length of the long leg in the right triangle shown below?
30
12
60
O A. 6,5
O B. 62
O c. 3
Answer:
O B. 62
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2 + (y – 3)2 = 36 x2 + (y – 5)2 = 6 (x – 4)² + y² = 36 (x + 6)² + y² = 144 x2 + (y + 8)2 = 36
The equation that represents circles that have a diameter of 12 units and a center that lies on the y-axis is x²+ (y-3)² = 36
We know that, the standard form of equation of a circle is expressed as:
(x-a)^2 + (y-b)^2 = b=r^2
where;
(a, b) is the center of the circle
r is the radius of the circle
From given information,
diameter = 12 units
radius = 12/2
= 6 units
It is given that, the center lies on the y-axis, the center will be at (0, 3)
Substituting above values in the formula,
(x-0)^2 + (y-3)^2 = 6^2
x²+ (y-3)² = 36
Therefore, an equation that represent circle that have a diameter of 12 units and a center that lies on the y-axis is x²+ (y - 3)² = 36
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find the value of this expression if x=7 x2 +6/x-2
Solve the given question
Answer:
1, 4
Step-by-step explanation:
look for graph
4 on the front and 13 on the back
That is, this expression can have two or more forms
4+13=17
17-4=13
Answer:
A and D
Step-by-step explanation
I am in 7th grade, your welcome :D
Find the value of x. Note that in the image below, mAED = 183° and mBD 73 1837 B TI E 73° O to O 128 55 73 60
The value of x in the intersection point of the secant and tangent is 55°.
Tangent and secant intersectionwhen a tangent and a secant intersect then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.
Therefore,
x = 1 / 2 (arc AED - arc DB )
Therefore,
arc AED = 183°
arc DB = 73°
Therefore,
x = 1 / 2 (183 - 73)
x = 110 / 2
x = 55°
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K'
-8,8
,
L'
8,8
,
M'
-4,8
i need help finding the new coordinate. and scale factor is 1/2
Answer:
Step-by-step explanation:
To find the new coordinate of a point after it has been scaled by a factor of 1/2, you can multiply the x- and y-coordinates of the point by 1/2.
For example, to find the new coordinate of point K', you can multiply the x-coordinate of K' (-8) by 1/2 to get the new x-coordinate, and multiply the y-coordinate of K' (8) by 1/2 to get the new y-coordinate. This gives you the new coordinate of K' as (-4,4).
You can use the same method to find the new coordinates of points L' and M'. The new coordinate of L' is (4,4) and the new coordinate of M' is (-2,4).
I hope this helps! Let me know if you have any questions.
The sizes of houses in Kenton County are normally distributed with a mean of 1346
square feet with a standard deviation of 191 square feet. For a randomly selected
house in Kenton County, what is the probability the house size is:
a. over 1371 square feet?
O Z=
o probability =
b. under 1296 square feet?
O Z=
o probability =
c. between 773 and 1637 square feet?
o zl =
o Z2 =
o probability =
Note: Z-scores should be rounded to 2 decimal places & probabilities should be
rounded to 4 decimal places.
License
Points possible: 8
This is attempt 1 of 3.
Answer:
(a) The probability that the house size is over 1371 square feet is 0.4483.
(b) The probability that the house size is under 1296 square feet is 0.3974.
(c) The probability that the house size is between 773 and 1637 square feet is 0.9344.
Step-by-step explanation:
We are given that the sizes of houses in Kenton County are normally distributed with a mean of 1346 square feet with a standard deviation of 191 square feet.
Let X = the sizes of houses in Kenton County
The z-score probability distribution for the normal distribution is given by;
Z = \(\frac{X-\mu}{\sigma}\) ~ N(0,1)
where, \(\mu\) = mean size of houses = 1346 square feet
\(\sigma\) = standard deviation = 191 square feet
(a) The probability that the house size is over 1371 square feet is given by = P(X > 1371 square feet)
P(X > 1371) = P( \(\frac{X-\mu}{\sigma}\) > \(\frac{1371-1346}{191}\) ) = P(Z > 0.13) = 1 - P(Z \(\leq\) 0.13)
= 1 - 0.5517 = 0.4483
The above probability is calculated by looking at the value of x = 0.13 in the z table which has an area of 0.5517.
(b) The probability that the house size is under 1296 square feet is given by = P(X < 1296 square feet)
P(X < 1296) = P( \(\frac{X-\mu}{\sigma}\) < \(\frac{1296-1346}{191}\) ) = P(Z < -0.26) = 1 - P(Z \(\leq\) 0.26)
= 1 - 0.6026 = 0.3974
The above probability is calculated by looking at the value of x = 0.26 in the z table which has an area of 0.6026.
(c) The probability that the house size is between 773 and 1637 square feet is given by = P(773 square feet < X < 1637 square feet)
P(773 < X < 1637) = P(X < 1637) - P(X \(\leq\) 773)
P(X < 1637) = P( \(\frac{X-\mu}{\sigma}\) < \(\frac{1637-1346}{191}\) ) = P(Z < 1.52) = 0.9357
P(X \(\leq\) 773) = P( \(\frac{X-\mu}{\sigma}\) \(\leq\) \(\frac{773-1346}{191}\) ) = P(Z \(\leq\) -3) = 1 - P(Z \(\leq\) 3)
= 1 - 0.9987 = 0.0013
The above probabilities are calculated by looking at the value of x = 1.52 and x = 3 in the z table which has an area of 0.9357 and 0.9987 respectively.
Therefore, P(773 square feet < X < 1637 square feet) = 0.9357 - 0.0013 = 0.9344.
4 3/8 + 5 1/2= in fractions
Answer:
9 7/8
Step-by-step explanation:
1. 4 3/8 can be converted into the improper fraction 35/8, and 5 1/2 can be converted into 11/2.
2. Now that we have 35/8 + 11/2, we have to find a common denominator. Since 2 goes into 8 four times, we can turn 11/2 into 44/8 by multiplying the numerator and denominator (the top and the bottom numbers) by 4.
3. Now we have 35/8 + 44/8. At this point, the all we have to do is add the numerators (the top numbers). 35+44=79, so our answer is 79/8, which we can simplify to 9 7/8.