As a fraction it would be 54/100
Help me solve this problem please
Answer:
actually what is this is you is this a geometry, trigonometry I don't know what to call
The diagonals of a quadrilateral QRST intersect at P(2,3). QRST has vertices at Q(3,6) and R(-3,5). What must be the coordinates of S and T to ensure that QRST is a parallelogram?
Answer:
S (1 , 0)
T (7 , 1)
Step-by-step explanation:
If QRST is a parallelogram, P is the mid point of segment QS and segment RT.
Basic formula for mid-point of segment: ((x1+x2)/2 , (y1+y2)/2)
T (x₁ , y₁) S (x₂ , y₂) P (2 , 3) Q (3 , 6) R (-3 , 5)
2 = (x₁ + (-3))/2 x₁ = 7
3 = (y₁ + 5)/2 y₁ = 1
T (7 , 1)
2 = (x₂ + 3))/2 x₂ = 1
3 = (y₂ + 6)/2 y₂ = 0
S (1 , 0)
Find missing length.
One diagonal of a kite is twice as long as the other diagonal. If the area of the kite is 240 square inches, what are the lengths of the diagonals?
If one diagonal of a kite is twice as long as the other diagonal and the area of the kite is 240 square inches, then the length of the shorter diagonal is 4√15 inches and the length of the longer diagonal is 8√15 inches.
To find the length of the diagonals, follow these steps:
Let the length of the shorter diagonal = x. So, the length of the longer diagonal = 2x.Area of the kite = (1/2)×product of diagonals= (1/2)×x×2x= x² square inchesSince the area of the kite is 240 square inches, then x² = 240 ⇒x = √240 ⇒x = 4√15 unitsTherefore, the length of the shorter diagonal is x = 4√15 inches and the length of the longer diagonal is 2x = 8√15 inches.Learn more about kite:
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Do you find this with synthetic and long divison?
Answer:
p=-2
Step-by-step explanation:
we can solve by both methods
if it is divisible by x-1,then remainder is zero.
i solve by synthetic division.
x-1=0,x=1
1 | 1 -1 p 2
| 1 0 p
_________
1 0 p |2+p
Here 2+p is remainder.
p+2=0
p=-2
Consider the follow:ing sequence -3; 2; 7; 12. 12.1 Find an expression for the nth term
Answer:
tn=t¹+d(n-1)
Step-by-step explanation:
d=common difference
t¹=1st term
n= the nth term
Answer:
Step-by-step explanation:
Sequence, so easiest way is difference between any 2 consecutive numbers
Neg 3 to 2, difference is 5
2 to 7, difference is 5
7 to 12 , difference is 5
So sequence result for n
= starting point + (n-1)(5)
Eg 2nd, N= 2
Starting point is neg 3
Sequence = -3 + 2-1 (5) = -3 + 5 = 2
9th, n = 9
-3 + 8(5)
-3 + 40
37
The population of Florida was 6.7 x 10^6 in 1970. The population increased to 2 x 10^7 in 2010. to the nearest whole number, how many times greater was the population in 2010 then in 1970?
Answer:
The population was 3 times greater in 2010 than in 1970.
Step-by-step explanation:
To find how many times greater the population was, you divide the population from 2010 by the population in 1970.
\(\frac{2*10^{7} }{6.7*10^{6} } = 2.985\) ≈ 3
Hope this helps!
population was 3 times greater in 2010
0.33632287 to 3sf please
Answer:
.
Step-by-step explanation:
can you help me find the slope of these queastions?
Answer:
1. B
2. A
3. I
4. I
These should be correct
Pentagon ABCDE and Pentagon A''B''C'D''E are shown on the coordinate plane below.
which two transformations are applied to Pentagon ABCDE to create A"B"C"D"E"?
A) Translated according to the rule (x, y) → (x + 8, y + 2) and reflected across the y-axis
B) Translated according to the rule (x, y) → (x + 2, y + 8) and reflected across the x-axis
C) Translated according to the rule (x, y) → (x + 2, y + 8) and reflected across the y-axis
D) Translated according to the rule (x, y) → (x + 8, y + 2) and reflected across the x-axis
Answer:
D) Translated according to the rule (x, y) → (x + 8, y + 2) and reflected across the x-axis
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, dilation and translation.
If a point X(x, y) is translated a units right and b units down, it new location is X'(x + a, y + b)
If a point X(x, y) is reflected across x axis, it new location is X'(x, -y)
Pentagon ABCDE is at A(-4, 5), B(-6, 4), C(-5, 1), D(-2, 2), E(-2, 4) while pentagon A"B"C"D"E" is at A"(4, -7), B"(2, -6), C"(3, -3), D"(6, -4), E"(6, -6)
If pentagon ABCDE is Translated according to the rule (x, y) → (x + 8, y + 2), the new points would be A'(4, 7), B'(2, 6), C'(3, 3), D'(6, 4), E'(6, 6). If a reflection across the x axis is the done, the new points are A"(4, -7), B"(2, -6), C"(3, -3), D"(6, -4), E"(6, -6)
Using the formula y=ab/2c, express: the variable c in terms of a, b, and y.
Answer:
c=ab/2y
Step-by-step explanation:
y=ab/2c
to get rid of the denominator we divide by 2c.
(y=ab/2c)2c
2cy=ab
now we need to get rid of the 2y from the c to isolate it. in order to do this, we must divide by 2y.
Doing this we get c=ab/2y
9514 1404 393
Answer:
c = (ab)/(2y)
Step-by-step explanation:
The given equation can be multiplied by c/y to solve for c.
\(y=\dfrac{ab}{2c}\\\\y\cdot\dfrac{c}{y}=\dfrac{ab}{2c}\cdot\dfrac{c}{y}\\\\\boxed{c=\dfrac{ab}{2y}}\)
_____
Comment on the form of the answer
When the answer is written in plain text, the fraction bar no longer serves as a grouping symbol. Hence, parentheses are needed around the denominator:
c = ab/(2y)
The following cone has a slant height of 17
cm and a radius of 8
cm.
What is the volume of the cone?
Responses
480π
320π
544π
The formula for the volume of a cone is:
V = (1/3)πr²h
where r is the radius of the base, h is the height of the cone, and π is pi.
In this case, the slant height is given as 17 cm, which we can use with the radius to find the height of the cone using the Pythagorean theorem:
h² = s² - r²
h² = 17² - 8²
h² = 225
h = 15
Now that we have the height, we can plug in the values for r and h into the formula for the volume:
V = (1/3)π(8²)(15)
V = (1/3)π(64)(15)
V = (1/3)(960π)
V = 320π
Therefore, the volume of the cone is 320π cubic cm. Answer: 320π.
an 18 ounce bottle of soda contains 216 calories. If sam drinks 6 ounces how many calories will he consume?
Answer: 72 Calories
Step-by-step explanation:
First, calculate the calories per ounce.
216/18= 12
Then, multiply by 6 to get how many calories Sam consumed.
12 * 6= 72
Sam consumed 72 calories.
You can also see that 6 ounces is 1/3 of the bottle, so the answer can also be derived by multiplying 218 by 1/3.
Brianna works at the local grocery store she needs to stock 4 shells with 120 boxs of cereal. How many boxes can she put on each shelf
Answer:
30 boxes of cereal
Step-by-step explanation:
Divide 120 boxes equally among 4 shelves. 120/4 = 30
Luke is making a gelatin dessert to bring to a picnic. He combines strawberry gelatin and lemon gelatin in a large tray. Then, he decides to make a smaller tray to keep at home. In the small tray, he combines half the amount of strawberry gelatin and half the amount of lemon gelatin. Which tray of gelatin will taste more like lemon?
Thanks
The tray of gelatin that would taste more like lemon would be = the both trays.
What is a dessert?A dessert is defined as the part of a course meal that is usually taken at the end of a three course meal.
In the making of a gelatin dessert by Luke he made the following combinations;
strawberry gelatin and lemon gelatin = Large tray
½ strawberry gelatin and ½ lemon gelatin = Small tray
The tray that will taste more of lemon would be the both trays because the same measurement of lemon gelatin was used for both the large and small tray.
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Answer:
neither
Step-by-step explanation: its just neither
What's the answer
Which equation represents the lower unit rate of these two relationships
Answer:
The answer is
y=3/5x
Answer:
d
Step-by-step explanation:
Find the equation of the parabola with its focus at (–5,0) and its directrix y = 2.
Options:
A)
y = 1∕4(x + 5)^2 + 1
B)
y = –4(x + 5)^2 + 1
C)
y = –1∕4(x + 1)^2 + 5
D)
y = –1∕4 (x + 5)^2 + 1
Answer:
2 = 1
Step-by-step explanation:
5y = ax + 5 and 1/4y = 1/10x - 1We need both formula in slope-intercept format...y=mx+bm=slopeb=y-intercept, value of y when x=05y = ax + 5Let's divide both sides by 5...(5y)/5=[(a/5)x]+(5/5)y=(a/5)x+1Any line parallel to this, must have a slope equal to a/5. 1/4y = 1/10x - 1Let's multiply both sides by 4...4[(1/4)y]=[(1/10)(4)x]-[(1)(4)]y=(4/10)x-4y=(2/5)x-4 2/5 = a/5 2=a
Please hlelp me I need he fdfdf
Answer:
21 ft^2
Step-by-step explanation:
5x3=15
3x2=6
15+6=21
Answer:
21 ft squared
Step-by-step explanation:
Make the rectangle whole: 6x5=30
Find the area of the missing piece: 3x3=9
Subtract the missing piece's area by the whole area: 30-9=21
a local theater sells admission tickets for $9.00 on thursday nights. at capacity, the theater holds 100 customers. the function represents the amount of money the theater takes in on thursday nights, where n is the number of customers. what is the domain of in this context?
The number of customers (n) must be between 0 and 100 (inclusive) to be within the valid domain of the function.
In this context, the domain of the function h(n) represents the valid values for the number of customers (n) that can attend the theater on Thursday nights.
Given that the theater holds 100 customers at capacity, the domain would be limited to values of n that fall within the capacity of the theater, which is from 0 to 100. This is because the theater cannot accommodate more than 100 customers, and it is not possible to have a negative number of customers.
Therefore, the domain of the function h(n) in this context would be:
Domain: 0 ≤ n ≤ 100
It means that the number of customers (n) must be between 0 and 100 (inclusive) to be within the valid domain of the function.
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Please answer I will make brainlest:)
Answer:
(3,-4)
Step-by-step explanation:
By what factor did the value decrease over the 8 years for #3?
By what percent did the value decrease over the 8 years for #3?
#3 - A Ford truck that sells for $52,000 depreciates 18% each year for 8 years.
The value of the Ford truck decreased by a factor of 0.1169 over the 8 years. The percentage decrease in the value of the truck is 88.3%.
What is the percentage?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
According to the given information:For #3, the initial value of the Ford truck was $52,000, and it depreciated 18% each year for 8 years.
To find the factor by which the value decreased, we can use the formula:
factor of decrease = (1 - rate of decrease)^number of years
Plugging in the values, we get:
factor of decrease = (1 - 0.18)^8 = 0.1169
Therefore, the value of the truck decreased by a factor of 0.1169 over the 8 years.
To find the percentage decrease, we can use the formula:
percentage decrease = (initial value - final value) / initial value * 100%
The final value can be calculated as the initial value multiplied by the factor of decrease:
final value = initial value * factor of decrease = $52,000 * 0.1169 = $6,082.80
Plugging in the values, we get:
percentage decrease = ($52,000 - $6,082.80) / $52,000 * 100% = 88.3%
the value of the Ford truck decreased by 88.3% over the 8 years.
Therefore, The value of the Ford truck decreased by a factor of 0.1169 over the 8 years. The percentage decrease in the value of the truck is 88.3%.
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9. (12.32) In each of the following situations, describe a sample space S for the random phenomenon eBook Step 1: A basketball player shoots four free throws. You record the sequence of hits and misses S-(HIT, MISS s- the set of all sequences of 4 hits or misses like HHMH and HMMH os=(0, 1, 2, 3,4) Step 2: A basketball player shoots four free throws. You record the number of baskets she makes S-the set of all sequences of 4 hits or misses like HHMH and HMMH S- HIT, MISS
In each of the following situations, I will describe a sample space S for the random phenomenon involving a basketball player:
Situation 1: A basketball player shoots four free throws, and you record the sequence of hits and misses.
Step 1: The sample space S represents all possible outcomes for the number of baskets the basketball player makes out of the four free throws. The sample space consists of the numbers 0, 1, 2, 3, and 4, where each number represents the number of successful baskets made by the player. There are five possible outcomes in the sample space S.
Sample space S: {HHHH, HHMH, HHHM, HHMM, HMHH, HMMH, HMHM, HMMM, MHHH, MHMH, MHHM, MHMM, MMHH, MMMH, MMHM, MMMM}
Situation 2: A basketball player shoots four free throws, and you record the number of baskets she makes.
Step 2: The sample space S represents all possible outcomes for the number of baskets the basketball player makes out of the four free throws. The sample space consists of the numbers 0, 1, 2, 3, and 4, where each number represents the number of successful baskets made by the player. There are five possible outcomes in the sample space S.
Sample space S: {0, 1, 2, 3, 4}
In both situations, the sample space S is important for calculating probabilities and determining the likelihood of certain outcomes. By defining the sample space S, we can determine the probability of a specific outcome occurring and make informed decisions based on this probability.
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Shannon’s bicycle travels 40 feet for every 3 pedal turns. How many pedal turns are needed to travel one mile (1 mile = 5,280 feet)?
Answer:
396
Step-by-step explanation:
5280/40 =132
132x3 =396
PLEASE HELP!!! Would you rather paint 3/4 of a circle or a circular ring? Using area, explain your reasoning. Include calculations in your reasoning.
Answer: I would paint either of the 3/4 of a circle or a circular ring.
Step-by-step explanation: We shall start by calling the three quarter circle on the left A, and the ring on the right we shall call B.
The area of both can be calculated and that figure which results in the lesser value (of area) shall cost you less to paint.
For A, the area of the circle is given as
Area = πr²
Where π shall be taken as 3.14 and the radius r is 6.
Area = 3.14 * 6²
Area = 3.14 * 36
Area = 113.04
The area of the quarter of the circle would be subtracted from the total area as shown in the calculation above.
Area of sector = ∅/360 * πr²
The sector is a quarter of the circle and that makes the angle at the sector to be equal to (360/4) 90 degrees. Therefore ∅ equals 90.
Area of sector = (90/360) * 113.04
Area of sector = 1/4 * 113.04
Area of sector = 28.26
Area of A therefore is derived as;
Area of A = 113.04 - 28.26
Area of A = 84.78 square metres
For B, the area of the ring is given as follows;
Area of B = Area of larger circle - Area of smaller circle
Area of B = πR² - πr²
Where R is the radius of the larger circle and r is the radius of the smaller inner circle. By factorizing the right hand side of the equation, we now have;
Area of B = π (R² - r²)
Area of B = 3.14 (6² - 3²)
Area of B = 3.14 (36 - 9)
Area of B = 3.14 * 27
Area of B = 84.78 square metres.
From the calculations shown along with the explanations, both the three-quarters and the ring have exactly the same area, which means you are going to spend exactly the same quantity of paint and spend the same amount of time painting either one of them.
So the answer is; I would paint EITHER ONE OF THEM.
A radioactive isotope is found to have a half-life 7 days. what fraction of the sample will remain after 21 days? a
The half-life period of a radioactive element is 7 days. The fraction of the radioactive element that disintegrates in 21 days is 0.406.
The half-life period of a radioactive element is 7 days.
Fraction of the sample will remain after 21 days:
The decay constant \(\lambda\) = \(\frac{0.693}{t_{1/2} }\)
= \(\frac{0.693}{7} = 0.099\)/ hour
t = 21 days
t = \(\frac{2.303}{\lambda} log\frac{a}{a-x}\)
21 = \(\frac{2.303}{0.099}log\frac{a}{a-x}\)
0.9028 = \(log\frac{a}{a-x}\)
2.466 = \(\frac{a}{a-x}\)
\(\frac{a-x}{a} =0.406\)
Hence,
The half-life period of a radioactive element is 7 days. The fraction of the radioactive element that disintegrates in 21 days is 0.406.
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Briestion T - me The nitisasiy of tungsiis is 6 aso. A turgises tothere with a ratrars of 1.24 cm n torperesed wetin a lavgh evacuates enclostie whose Wath are Express your anawer in wans.
The surface area of the enclosure is 19.3 cm². A tungsten sphere with a radius of 1.24 cm is enclosed in a large evacuated enclosure.
The atomic number of tungsten is 74. A tungsten nucleus contains 74 protons and 110 neutrons. A tungsten sphere has a radius of 1.24 cm.
Wolframite and scheelite are the two primary minerals that contain tungsten. Tungsten's name comes from the Swedish word "tung sten," which means "heavy stone."
A tungsten nucleus contains 74 protons and 110 neutrons. The atomic weight of tungsten is 183.84. This means that each tungsten atom has a mass of 183.84 atomic mass units (amu). A tungsten sphere with a radius of 1.24 cm is enclosed in a large evacuated enclosure.
The surface area of the sphere is calculated using the following formula:
Surface Area = 4 × π × r² = 4 × π × (1.24 cm)² = 19.3 cm².
The surface area of the evacuated enclosure is the same as the surface area of the sphere. The surface area of the enclosure is 19.3 cm².
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A sweater was on sale at 40% off the regular price. Ella saved $20 by buying the sweater on sale. What was the regular price of the sweater?
Answer:
$60
Step-by-step explanation:
i-ready
Technician A says that the location of the catalytic converter is not important. Technician B says that the catalytic converter should be positioned as far from the engine as possible. Which technician is correct
Technician B is correct
The location of a catalytic converter?The catalytic converter's location is crucial, and it should be as far away from the engine as feasible.
By transforming hazardous emissions from the engine into less damaging gases, the catalytic converter is in charge of lowering their levels. It is placed further away from the engine so that it can operate at high temperatures.
The catalytic converter could become overheated, lose efficiency, and even sustain damage if it is placed too close to the engine. In order to ensure the catalytic converter's good operation, it is best practice to position it far from the engine, as stated by Technician B.
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if the point a is translated 5 units up and 10 units to the left, find the location of the resulting point a?
If the point A is translated 5 units up and 10 units to the left, then the location of resulting point A is (-5, 6).
Translating Points:Translating a point involves moving it a given distance horizontally and/or vertically. You can find the address of a translated point as follows:
To translate a point to the right, add the translation to the x-value.To translate a point to the left, subtract the translation from the x-value.To translate a point up, add the translation to the y-value.To translate a point down, subtract the translation from the y-value.We have the information from the question is:
The point a is translated 5 units up and 10 units to the left
and we have to find the location of a.
Now, According to the question:
A graph is translated k units vertically by moving each point on the graph k units vertically.
Th position of point A is (5, 1)
A is translated 5 units up and 10 units to the left.
Left and right side describes the x axis of translation and up , down describe for y axis
(5-10, 1+5)
(-5,6)
Hence, If the point A is translated 5 units up and 10 units to the left, then the location of resulting point A is (-5, 6).
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He wants to first determine the percentage of adults who have heard of the brand. How many adults must he survey in order to be 80% confident that his estimate is within six percentage points of the true population percentage? Complete parts (a) through (c) below.
Complete question is:
The brand manager for a brand of toothpaste must plan a campaign designed to increase brand recognition. He wants to first determine the percentage of adults who have heard of the brand. How many adults must he survey in order to be 80% confident that his estimate is within six percentage points of the true populationpercentage?
Complete parts (a) through (c) below.
1) Assume that nothing is known about the percentage of adults who have heard of the brand.
a.n=_________(Round up to the nearest integer.)
2) Assume that a recent survey suggests that about 85% of adults have heard of the brand.
b.n=_________(Round up to the nearest integer.)
3) Given that the required sample size is relatively small, could he simply survey the adults at the nearest college?
A.No, a sample of students at the nearest college is a stratified sample, not a simple random sample, so it is very possible that the results would not be representative of the population of adults.
B.No, a sample of students at the nearest college is a clustersample, not a simple random sample, so it is very possible that the results would not be representative of the population of adults.
C.Yes, a sample of students at the nearest college is a simple random sample, so the results should be representative of the population of adults.
D.No, a sample of students at the nearest college is a convenience sample, not a simple random sample, so it is very possible that the results would not be representative of the population of adults.
Answer:
1) 114
2) 58
3) Option D
Step-by-step explanation:
From tables, the critical value of a confidence interval of 80% is 1.282.
1) I have attached the explanation
2) I have attached the explanation
3) When our sample is nearby, we simply make use of a convenience sample.
Now, convenience samples are biased. Therefore it is not a good sampling methodology.
Therefore, we can say that:
No, we should not just simply survey the adults of the nearest college due to the fact that it is a convenience sample.
The option that corresponds to the conclusion is option D.
PLEASE I NEED HELP!!
Which is the net of a cube?
What is the surface area?
What is the volume?
Which is the net of a rectangular prism with a volume of 9 unit cubes? What is
the surface area?
Which is the net of a rectangular prism with a volume of 30 unit cubes?
What is the surface area?
.Explain why the remaining figures are not nets.
Which is the net of a cube? B
What is the surface area? 24cm^2
2x2 = 4, then, x by the 6 equal side ==>24 or you could count the little squares.
What is the volume? 8cm
V = l x w x h
= 2 x 2 x 2
=8
Which is the net of a rectangular prism with a volume of 9 unit cubes? What is
the surface area? (9x2=18) + (4x3 = 12 ) = 30cm^2
D
V= 1x3x3
=9
Which is the net of a rectangular prism with a volume of 30 unit cubes? C
What is the surface area?
(15x2=30) + ( 5x2 =10) + (6x2=12) = 52cm^2
.Explain why the remaining figures are not nets.
Not sure
Hope this helps!