Complete Question:
The profile of a dam is modeled by the equation y = 24 (StartFraction x Over 10 EndFraction) squared, where x represents horizontal distance and y represents height, both in meters.
Point Z is at a horizontal distance of 15 meters from the left-most point of the dam. What is the height of the dam at point Z?
Answer:
The height is 36 meters
Step-by-step explanation:
Given
\(y = 24 * \frac{x}{10}\)
Required
The interpretation of the question is to determine the value of y when x = 15
Substitute 15 for x in: \(y = 24 * \frac{x}{10}\)
\(y = 24 * \frac{15}{10}\)
\(y = 24 * 1.5\)
\(y = 36\)
The height is 36 meters
Answer:
54
Step-by-step explanation:
edge
PLEASE HELP!!!!
Find the first term of the arithmetic sequence in which a61= 293 and the common difference is -3,5
Answer:
503
Step-by-step explanation:
503+(-3.5(60)) equals 293
The first term of the arithmetic sequence is 503.
What is arithmetic progression?The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression
A number series is a number-based sequence. In the number series questions, we must identify the rules that lead to the formation of a number series.
Given that the arithmetic sequence in which a61= 293 and the common difference is -3.5.
The first term will be calculated as,
a₆₁ = a₁ + d(n-1)
a₁ = a₆₁ + 3.5( 60 )
a₁ = 293 + 210
a₁ = 503
Hence, the first term will be a₁ = 503.
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Sally took her stats test last week and scored a 45%. The class average was 55%with a standard deviation of 4.5. How many standard deviations below the mean did Sally score? (Hint: z-score
)A) 3.33 SD above the mean
B) 2.22 SD below the mean
C) 2.22 SD above the mean
D) 3.33 SD below the mean
Answer: A
Step-by-step explanation:
What is the distributive property of 6x8-6x5
Answer:
6(8-5)
Step-by-step explanation:
Answer:
Step-by-step explanation:
6(-6x8-5)
value is 12, mean is 20, and standard deviation is 2.8
Lets find the upperlimit and lower limit of data .
Lower limit=Mean-SD=20-2.8=17.2Upper limit=Mean+SD=20+2.8=22.8Hence the value 12 isn't included in data
Step-by-step explanation:
Lower limit= Mean-Standard Deviation=17.2
Upper limit=Mean+ Standard Deviation= 22.8
Hence, 12 isn't included in data
How can you find the total number of people on the scale when Raul and friends are weighed. 3/4 ÷ 1/2 =
Answer:3 /8
Step-by-step explanation:
Carrie buys 4.16 pounds of apples for $5.20 how much does one pound cost
2.0 PLZZ help thank you
Answer: So if you do 50 dollars - 70% you get, 15 U.S. dollars
Hope this helps :)
A circle has a diameter of 24 in what is the circumference pi is 3.14
Answer:
The circumference of a circle is calculated using the formula: C = πd, where C represents the circumference and d represents the diameter of the circle.
In this case, the diameter of the circle is given as 24 inches.
Using the formula, we can substitute the values:
C = πd
C = 3.14 * 24
C ≈ 75.36 inches
Therefore, the circumference of a circle with a diameter of 24 inches (and using π = 3.14) is approximately 75.36 inches.
Step-by-step explanation:
Anu is a photographer and was recently hired to photograph a wedding in Hawaii. While there, Anu had some time to
explore the island and capture other beautiful pictures.
During the trip, Anu took a total of 1,200 photographs. Of these, 25% were wedding photos, 35% were pictures of Lanikai
Beach, and the rest of the pictures were taken at the Honolulu Zoo. How many of Anu's pictures were taken at the Honolulu
Zoo?
ANSWER: 480 out of 1200 were taken at the Honolulu Zoo.
Help!! I’ll mark you brainly
Answer:
Two points that satisfy include (-2,5) (0,0) (2,-5) (I know this is more than 2, but in case the (0,0) origin isn't allowed.
Step-by-step explanation:
This is 5x+2y=0
Screenie is the 5x+2y=0 btw
Hope this helps!
Question 1) What is the area of triangle BCD to the nearest tenth of a square centimeter? Use special right triangles to help find the height. Show your work. ( Please Do Not Repost Someone Else's Answer That's On Brainly Or Any Other Websites Please If So You'll Be Reported).
Answer:
21.6 cm²
Step-by-step explanation:
Step 1 : Find CB
CB = tan60° x 5CB = √3 x 5CB = 1.73 x 5CB = 8.65 cmStep 2 : Find Area
Area = 1/2 x Base x HeightArea = 1/2 x 5 x 8.65Area = 2.5 x 8.65Area = 21.625Area = 21.6 cm²Elliot packed unit cubes into a prism, as shown. Which statement about the volume of the prism is true?
Answer:
The volume of the prism is 36 cubic units.
Step-by-step explanation:
I got it right. Hope this helps!
At time t=0, a tank contains 20 oz of salt dissolved in 50 gallons of water. Then brine containing 6 oz of salt per gallon of brine is allowed to enter the tank at a rate of 2 gal/min and the mixed solution is drained from the tank at the same rate.
(a) How much salt is in the tank at an arbitrary time? ans in oz
(b) How much salt is in the tank at time 15 min? ans in oz
a) The amount of salt in the tank at any arbitrary time (t) is 2t + 20 ounces.
b) There are 50 ounces of salt in the tank at time 15 min.
The amount of salt in the tank at an arbitrary time can be calculated using the formula: M = (R * t) + M0, where M is the amount of salt in the tank, R is the rate of brine entering the tank, t is the time elapsed, and M0 is the initial amount of salt in the tank. In this case, M = (2 * t) + 20.
To calculate the amount of salt in the tank at a time of 15 minutes, we can substitute t = 15 into our equation. This gives us M = (2 * 15) + 20 = 50 ounces.
Mathematically, the amount of salt in the tank can be calculated by using the formula M = (R * t) + M0, where M is the amount of salt in the tank, R is the rate of brine entering the tank, t is the time elapsed, and M0 is the initial amount of salt in the tank.
This formula can be used to calculate the amount of salt in the tank at an arbitrary time by substituting the relevant values for R, t, and M0. The amount of salt in the tank at a specific time can also be calculated by substituting in the relevant time value (t) for the equation.
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Everyday Erin’s Orange stand uses 1 3/8 bags of oranges for how many days will 5 1/2 bags of oranges last
1+3/8=(8+3)/8=11/8 used per day. 5+1/2=(10+1)/2=11/2 available.
(11/2)/(11/8)=(11/2)(8/11)=88/22=4
A rectangular table top has length 2.1 m and width 1.5 m.
A force of 400 N is applied to the whole table top.
Calculate the pressure in N/m2 to the nearest integer.
what is the expression of 3 ∙ (n ∙ 5)
Answer:
15n
Step-by-step explanation:
3n* 5
15n
greta uses 2 ounces of pasta to make 2/3 of a serving of pasta. How many ounces of pasta are there per serving?
Answer:
1/2
Step-by-step explanation:
cuz you take away 2/3 over two and then you get a half simply put
HELP ASAP
45 POINTS
which equation represents a function?
A. x=13
B. x-12=34
C. 2y= -12
D. 2x-4x = 7
E. x/2=15
Answer:
it is e bro
Step-by-step explanation:
Answer:
it's E
Step-by-step explanation:
Hope the helps :) <3
numbers greater than 10 from 1 to 15
bro just count?????? 11, 12, 13, 14, 15??????
Answer:
11,12,13,14,15
Step-by-step explanation:
The number scale goes like this 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 so look at the numbers in between 10 and 15 except dont count in ten because they have to be greater the 10. so therefor 11,12,13,14,15 :)
Question #3
Determine if the following scenario is best described as an observational study, survey, or experiment.
A researcher wants to determine the effects of eating a vegan diet on overall health. The researcher finds 200 individuals, where
of them have eaten vegan for the past five years and the other 100 have not eaten vegan for the past five years. The participants
each given a health assessment and the data is analyzed in order to draw conclusions about how eating vegan can affect one's
overall health.
Experimental Study
Observational study
Saved Survey
The type of sytudy that we have here is the observational study.
What is the observational study?
In an observational study, the researcher observes and analyzes data from individuals without actively intervening or manipulating any variables.
In this case, the researcher is observing and comparing the health outcomes of two groups of individuals: those who have eaten a vegan diet for the past five years and those who have not.
The participants are not randomly assigned to the groups, and the researcher does not actively control or manipulate the diet of the individuals.
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the equation a=0.003x^2+21.3 models the average ages of women when they first married since the year 1940. In this equation, a represents the average age and x represents the years since 1940. Estimate the year in which the average age of brides was the youngest
Answer:
Please help me important question in image
Step-by-step explanation:Please help me important question in image
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Please help me important question in image
Please help me important question in image
Answer:
The equation a=0.003x^2+21.3 models the average ages of women when they first married since the year 1940 in the United States. In this equation, a represents the average age and x represents the years since 1940. To estimate the year in which the average age of brides was the youngest, we need to find the minimum value of the quadratic function a=0.003x^2+21.3. This can be done by using the formula x=-b/2a, where b is the coefficient of x and a is the coefficient of x^2. In this case, b=0 and a=0.003, so x=-0/(2*0.003)=0. This means that the average age of brides was the lowest when x=0, which corresponds to the year 1940. The value of a when x=0 is a=0.003*0^2+21.3=21.3, so the average age of brides in 1940 was 21.3 years old. This is consistent with the historical data, which shows that the median age of women at their first wedding in 1940 was 21.5 years old. The average age of brides has been increasing since then, reaching 28.6 years old in 2021.
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The mean weight from a sample of 256 computer parts created by a computer manufacturer was 274.3 grams, with a standard deviation of 25.9 grams. Can this company claim that the mean weight of its manufactured computer parts will be less than 275 grams? Test this hypothesis using a 1% level of significance.
Since -1.7 > -2.33, we faiI tο reject the nuII hypοthesis. Therefοre, we cannοt cIaim with 99% cοnfidence that the mean weight οf the manufacturer's cοmputer parts is Iess than 275 grams
What is Standard Deviatiοn?Standard deviatiοn is a statisticaI measure that shοws hοw much variatiοn οr dispersiοn there is frοm the mean οf a set οf data. It is caIcuIated by finding the square rοοt οf the variance.
Tο test this hypοthesis, we need tο perfοrm a οne-sampIe t-test with the fοIIοwing hypοtheses:
NuII hypοthesis: The mean weight οf the cοmputer parts prοduced by the manufacturer is greater than οr equaI tο 275 grams.
AIternative hypοthesis: The mean weight οf the cοmputer parts prοduced by the manufacturer is Iess than 275 grams.
We wiII use a οne-taiIed test with a IeveI οf significance οf 1%, which cοrrespοnds tο a t-scοre οf -2.33 (frοm the t-distributiοn tabIe with 255 degrees οf freedοm).
The test statistic fοr this sampIe is:
t = (sampIe mean - hypοthesized mean) / (sampIe standard deviatiοn / √(sampIe size))
t = (274.3 - 275) / (25.9 / √(256))
t = -1.7
Since -1.7 > -2.33, we faiI tο reject the nuII hypοthesis. Therefοre, we cannοt cIaim with 99% cοnfidence that the mean weight οf the manufacturer's cοmputer parts is Iess than 275 grams
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Answer:Fail to reject the null hypothesis. There is not enough evidence to oppose the company's claim.
Step-by-step explanation:The mean weight from a sample of 256 computer parts created by a computer manufacturer was 274.3 grams, with a standard deviation of 25.9 grams. Can this company claim that the mean weight of its manufactured computer parts will be less than 275 grams? Test this hypothesis using a 1% level of significance.
Reject the null hypothesis. There is not enough evidence to oppose the company's claim.
Fail to reject the null hypothesis. There is not enough evidence to oppose the company's claim.
Reject the null hypothesis. There is enough evidence to oppose the company's claim.
Fail to reject the null hypothesis. There is enough evidence to oppose the company's claim.
The test statistic needs to fall within the rejection regions that are above and below the critical z-score associated with a 1% level of significance in order to reject the null hypothesis. Otherwise, we will fail to reject the null hypothesis.
1
Points
/ 1
ASAP!!! Answer the following include all steps
Question 1:
(a) The equation representing Elaine's total parking cost is:
C = x * t
(b) So the cost of parking for a full 24 hours would be 24 times the cost per hour.
Question 2:
The given system of equations is inconsistent and has no solution.
(a) To represent Elaine's total parking cost, C, in dollars for t hours, we need to know the cost per hour. Let's assume the cost per hour is $x.
(b) If Elaine wants to park her car for a full 24 hours, we can substitute t = 24 into the equation from part (a):
C = x * 24
Question 2:
To solve the linear system:
-x - 6y = 5
x + y = 10
We can use the elimination method.
Multiply the second equation by -1 to create opposites of the x terms:
-x - 6y = 5
-x - y = -10
Add the two equations together to eliminate the x term:
(-x - 6y) + (-x - y) = 5 + (-10)
-2x - 7y = -5
Now we have a new equation:
-2x - 7y = -5
To check the answer, we can substitute the values of x and y back into the original equations:
From the second equation:
x + y = 10
Substituting y = 3 into the equation:
x + 3 = 10
x = 10 - 3
x = 7
Checking the first equation:
-x - 6y = 5
Substituting x = 7 and y = 3:
-(7) - 6(3) = 5
-7 - 18 = 5
-25 = 5
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Can anybody help????
Answer:
x = 110° (vertically opposite angel)
Answer:
\(x = 110\)
vertical angel are opposite side are equal ( = )
A single die is rolled. Find the odds in favor of rolling a number greater than 2.
The odds in favor of rolling a number greater than 2 are
(Simplify your answers.)
Answer:
2/3
Step-by-step explanation:
1 and 2 are taken away, therefore you have 3, 4, 5, and 6 left as options to roll. So the answer is 4/6 since there's 4 numbers, but simplified it's 2/3.
Answer:
There are six possible outcomes when rolling a die, each of which is equally likely. Of these six outcomes, three are greater than 2 (3, 4, 5) and three are not (1, 2, 6). Therefore, the odds in favor of rolling a number greater than 2 are 3 to 3, or simply 1 to 1. Alternatively, we could express this as a probability: the probability of rolling a number greater than 2 is 3/6, or 1/2, since there are three favorable outcomes out of a total of six possible outcomes.
Step-by-step explanation:
10. Which is the equation of a line that passes through (-2,-1) and (-4,-3)?
Answer:
Y axis
Step-by-step explanation:
Dont have a explanation
lim
t—>0 1-cos(2t) / sin^2 (11t)
Answer:
2/121
Step-by-step explanation:
Hello,
Hôpital's rule will help here.
\(\forall t \in \mathbb{R}^*\\\\f(t)=1-cos(2t)\text{ *** f is differentiable}\\f'(t)=2sin(2t)\\f''(t)=4cost(2t)\\f''(0)=4 \\ \\g(t)=sin^2(11t)\text{ *** g is differentiable}\\g'(t)=2sin(11t)\times 11 \times cos(11t)=2\times 11 sin(11t)cos(11t)\\\\g''(t)=2\times 11 (11cos^2(11t)-11sin^2(11t))\\g''(0)=2\times 11^2\)
So the limit is 4/(2*121)=2/121
Thanks
The diameter of a circle is 10 ft. Find its area in terms of pi
The solution is, the area in terms of pi is 246.49 ft^2.
What is area ?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
here, we have,
we know that,
The area of a circle is π multiplied by the square of the radius.
The area of a circle, (A) when the radius 'r' is given is πr2.
π is approximately 3.142
Given,
Radius of a circle = 10/2 = 5 ft
Therefore,
Area in terms of pi
A = pi(r) ^2
A = 3.14(5) ^2
A = 15.7 ^2
A = 246.49
Hence, The solution is, the area in terms of pi is 246.49 ft^2.
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\(\int\limits^5_1 {x^2+2x-tanx} \, dx\)
The definite integral for this problem has the result given as follows:
\(\int_1^5 x^2 + 2x - \tan{x} dx = 212 - \ln{|\sec{5}|} + \ln{|\sec{1}|}\)
How to solve the definite integral?The definite integral for this problem is defined as follows:
\(\int_1^5 x^2 + 2x - \tan{x} dx\)
We have an integral of the sum, hence we can integrate each term, and then add them.
For the first two terms, applying the power rule, the integrals are given as follows:
Integral of x² = x³/3.Integral of 2x = 2x²/2 = x².The integral of the tangent is given as follows:
ln|sec(x)|
Then the integral is given as follows:
I = x³/3 + x² - ln|sec(x)|, from x = 1 to x = 5.
Applying the Fundamental Theorem of Calculus, the result of the integral is obtained as follows:
I = 5³/3 + 5² - ln|sec(5)| - (1³/3 + 1² - ln|sec(1)|)
I = 625/3 - 1/3 + 5 - 1 - ln|sec(5)| + ln|sec(1)|
I = 208 + 5 - 1 - ln|sec(5)| + ln|sec(1)|
I = 212 - ln|sec(5)| + ln|sec(1)|.
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Write the fraction as an 1/15 equivalent fraction with a denominator of 45.
9514 1404 393
Answer:
3/45
Step-by-step explanation:
To find the numerator, multiply the desired denominator by the fraction.
x/45 = 1/15
x = (45)(1/15) = 45/15 = 3
The equivalent fraction is 3/45.