To determine how many times a day we would need to fill the container shown below, we need to calculate its capacity in cubic centimeters. Let's assume that the container is a rectangular prism with dimensions of 30 centimeters (length) x 20 centimeters (width) x 25 centimeters (height). The formula for calculating the volume of a rectangular prism is:
Volume = length x width x height
Plugging in the values we have, we get:
Volume = 30 cm x 20 cm x 25 cm
Volume = 15,000 cubic centimeters
Therefore, the container has a capacity of 15,000 cubic centimeters. To determine how many times we would need to fill it each day, we need to divide the amount of pellets and hay we feed the okapi daily (5,024 cubic centimeters) by the capacity of the container (15,000 cubic centimeters):
5,024 / 15,000 = 0.3356
This means that we would need to fill the container approximately 0.3356 times a day, which is not a practical answer. We need to round this up to the nearest whole number.
The options given to us are 80 times, 40 times, 16 times, and 4 times. Out of these options, the closest whole number to 0.3356 is 1, which means we would need to fill the container once a day.
Therefore, the answer is that we would need to fill the container shown below 1 time a day to feed the okapi their daily amount of pellets and hay.
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The median for the given set of six ordered data values is 28.5. 5 12 21 _ 41 50 What is the missing value? The missing value is
The missing value is 33.
The median of a set of six ordered data values is the middle number, which is located in the third position.
To calculate the median, you need to add the numbers in the two middle positions and divide by two.
5 + 12 = 17, 21 + 33 = 54. 54 / 2 = 27.
Thus, the missing value is 33.
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highway bridges in the united states were categorized as structurally deficient, functionally obsolete, or safe. about 26% of the bridges were found to be structurally deficient, while 19% were functionally obsolete. a. what was the population or sample of interests?
The population of interest was The condition of highway bridges in the united states
According to the question,
Highway bridges in the united states were categorized as structurally deficient, functionally obsolete, or safe.
Percentage of bridges found to be structurally deficient = 26%
Percentage of bridges found to be functionally obsolete = 19%
The condition of highway bridges in the united states is the population researchers are interested
The main reason researchers are interested in the condition because the highway bridges can be classified as being structurally deficient or could be safe, or could be obsolete functionally.
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Find the missing angle
Answer:
If this is a parallelogram:
∠y = 112°
corners opposite the 112° corners = 68° [(360° - 112° - 112°)/2 = 68°]
∠z = 68° - 40° = 28°
∠x = ∠z = 28°
Answer:
x = 28°, y = 112°, z = 28°
Step-by-step explanation:
suppose it's a parallelogram,
in a parallelogram, opposite angles are congruent: y = 112°
40 + 112 + x = 180
=> x = 28°
If 2 lines are cut by a transversal, then the alternate interior angles are congruent: x = z => 28° = z
What are the errors in the following? (All coordinate pairs are written with Degrees, Minutes and Seconds (then with a N/S/E/W symbol for the lat/lon). Latitude is N/S, Longitude is E/W. Degrees have a range of 0-90 for Latitude, 0-180 for Longitude. Minutes and Seconds can only go up to 59, after that the 60 would be the next minute or degree (like rounding up on a clock, you’d never say is 10:60pm, its 11:00pm). With this information highlight the errors below. Do not correct the pairs, only note which element is an error.
89° 47' 65" S ____________________
185° 24' 37" E ____________________
65° 77' 42" W ____________________
40° 50" 21' S ____________________
The required errors identified in the gvien coordinate pairs are written with degrees has been shown.
In the given exercise, we are presented with a set of coordinate pairs written in the format of Degrees, Minutes, and Seconds, along with the respective N/S (for latitude) and E/W (for longitude) symbols. It is important to note the limitations and conventions associated with this format: latitude ranges from 0 to 90 degrees, longitude ranges from 0 to 180 degrees, minutes and seconds are restricted to values up to 59, and any value exceeding 59 rolls over to the next higher unit.
Let's proceed with examining the pairs to identify the errors.
89° 47' 65" S - The error is in the second element. Seconds can only go up to 59, so the value "65" is invalid.185° 24' 37" E - The error is in the degrees element. Longitude values range from 0 to 180, so "185" is outside the valid range.65° 77' 42" W - The error is in the minute's element. Minutes can only go up to 59, so the value "77" is invalid.40° 50" 21' S - The error is in the order of the elements. The correct order is degrees, minutes, and seconds, but this pair is written as degrees, seconds, and minutes.Learn more about coordinate here:
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1. Seconds can only range from 0 to 59, so the value 65 is incorrect.
2. Longitude degrees can only range from 0 to 180, so the value 185 is outside the valid range.
3. Minutes can only range from 0 to 59, so the value 77 is incorrect.
4. The correct order should be degrees, minutes, and then seconds. In this case, the minutes (50") and seconds (21') are swapped.
The required errors identified in the given coordinate pairs are written with degrees has been shown.
1. 89° 47' 65" S: The error in this coordinate pair is the value of the seconds, which is 65.
Seconds can only range from 0 to 59, so the value 65 is incorrect.
2. 185° 24' 37" E: The error in this coordinate pair is the value of the degrees, which is 185.
Longitude degrees can only range from 0 to 180, so the value 185 is outside the valid range.
3. 65° 77' 42" W: The error in this coordinate pair is the value of the minutes, which is 77.
Minutes can only range from 0 to 59, so the value 77 is incorrect.
4. 40° 50" 21' S: The error in this coordinate pair is the order of the minutes and seconds.
The correct order should be degrees, minutes, and then seconds. In this case, the minutes (50") and seconds (21') are swapped.
Remember that for latitude, the valid range of degrees is from 0 to 90, and for longitude, it is from 0 to 180.
Minutes and seconds can only go up to 59.
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Finding Slope
HELP ME
Answer: slope is -3
Step-by-step explanation: (-5,6) and (-9,-6)
Take your Y values and subtract them -6-6=-12
Take your X values and subtract them -9-(-5) or -9+5= -4
Then your -12 will be your numerator and your -4 will be your denominator
Then Divide
-12/-4= -3
I hope this helps!
Triangle SAM is congruent to Triangle REN. Find x and y.
\(\measuredangle A\cong \measuredangle E\implies 112=16x\implies \cfrac{112}{16}=x\implies \boxed{7=x} \\\\[-0.35em] ~\dotfill\\\\ \overline{MS}\cong \overline{NR}\implies 41=3x+5y\implies 41=3(7)+5y\implies 41=21+5y \\\\\\ 20=5y\implies \cfrac{20}{5}=y\implies \boxed{4=y}\)
CAN someone help me ):
Answer:
249.6
Step-by-step explanation:
width x height x 1/2 = area fo a triangle
12(2) x 10.4(2) x 1/2 = 249.6
I assumed this means all of the surface area. Hope this helps. Sorry if I'm wrong.
6 Jose burns an average of 200 calories in 25 minutes of running.
Part A
How many calories does Jose burn per minute?
Show your work.
Jose burns
calories per minute.
Answer:
8
Step-by-step explanation:
200 calories÷25=8
8 calories are burn in a minute.
To check if you answer is right,
8x25=200(8= the calories that are burn in a minute
(25= the full minute)
So Jose burn 8 calories per minute.
what is the value of x?
PLEASE CHOSE THE RIGHT ANSWER AND EXPLAIN WHY YOU CHOSE IT PLEASE
Answer:
D
Step-by-step explanation:
See attached image.
solve for " x "
\(x = 42 - 9\)
\(\implies {\blue {\boxed {\boxed {\purple {\sf {x\:=\:33}}}}}}\)
\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)
\(x = 42 - 9\)
➼\(\:x = 33\)
Therefore, the value of \(x\) is 33.
\(\sf\pink{Thank\:you. \:ヅ}\)
Answer:
x =33
Step-by-step explanation:
x = 42-9
We are solving for x, which is already isolated
42-9 = 33
x = 33
Check 33+9 = 42
the variable d represents the number of miles driven, and the variable c represents the cost in dollars. if a cab ride is 49 miles long, how much will it cost?
The cost in dollars if a cab ride 49 miles long is $ 110.
The question is not complete, a table of travel costs and distance data should be provided. A table that is similar to the table that should be provided is in the attachment. From the table, it can be seen that if the mileage increases by 5 miles, the cost will increase by $ 12.5. The data graph will be in the form of a straight line.
d₁ = 5 milesThe equation of the line if two points are known
(y - y₁)/(y₂ - y₁) = (x - x₁)/(x₂ - x₁)
(c - c₁)/(c₂ - c₁) = (d - d₁)/(d₂ - d₁)
(c - 12.5)/(25 - 12.5) = (d - 5)/(10 - 5)
(c - 12.5)/12.5 = (d - 5)/5
5 × (c - 12.5) = 12.5 × (d - 5)
5c - 62.5 = 12.5d - 125
5c = 12.5d - 125 + 62.5
5c = 12.5d - 62.5
c = 2.5d - 12.5
If a cab ride is 49 miles long,
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if you use 1 pound of mirepoix in a recipe that yields 1 gallon of soup, how much mirepoix do you need to make 31/2 gallons of soup?
we need 31/2 pounds mirepoix to make 31/2 gallons of soup.
let we need x% (percent) of mirepoix to make 1 gallon of soup
given we have 1 pound of mirpoix which yeilds 1 gallon soup of soup
so total amount of mirepoix that required in the solution is = \(\frac{x}{100} *1 pound\)
so x/100 = 1 gallon / pound
we will use this equation for further calculation
let we need y pounds of mirepoix to make 31/2 gallon of soup ans we know that x% of mirepoix is required for this solution.
so \(\frac{x}{100} * y = 31/2\)
ans in the above equation x/100 =1 gallon / pound
so 1 * y= 31 /2
and hence y = 31/2 pounds
so we need 31/2 pounds of mirepoix to form requied amount of soup.
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Given f(x) = x - 7 and g(x) = x2 Find g(f(4))
Answer: g(f(4))=9
Step-by-step explanation:
To find g(f(4)), you first need to solve f(4). After you find that value, you plug that value into g(x).
f(4)=4-7 [subtract]
f(4)=-3
Now that we know h(4)=-3, we plug -3 into g(x).
g(-3)=(-3)² [exponent]
g(-3)=9
After we have plugged in f(4) into g(x), we got g(f(4))=9.
Use the integer tiles to find the sum of 4 and –5. 9 1 -1 -9
Answer:
the sum of 4 and -5 is -1
Step-by-step explanation:
4 - 5 = -1
or
-5 + 4 = -1
Answer:
-1
Step-by-step explanation:
Select the correct answer from the drop-down menu. Find the polynomial. {5} is the solution set of.
Polynomials are expressions. The polynomial whose solution set is {5} is x²-10x+25.
What are polynomial?Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
As it is given that the {5} is the solution set of the function, therefore, we can write,
\(x = 5\\(x-5 )= 0\)
Thus, (x-5) is one of the factors of the polynomial.
Let's assume that the 5 is the only root of the polynomial, therefore, if we multiply the factor by itself we will get the quadratic equation whose solution is only 5.
\((x-5)^2\\\\\text{Using the algebric identity we will get}\\\\x^2-10x+25\)
Hence, the polynomial whose solution set is {5} is x²-10x+25.
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Answer:
x²-10x+25
Step-by-step explanation:
It was correct for me
each serving of these crackers provides 120 calories (kcal) and 0.5 grams of saturated fat. what percentage of calories comes from saturated fat?
The percentage of calories that comes from saturated fat in each serving of these crackers is 0.4%
To calculate the percentage of calories that come from saturated fat, we need to first determine how many calories come from saturated fat in one serving of crackers.
We know that each serving of crackers provides 120 calories, and 0.5 grams of saturated fat. We can convert the amount of saturated fat from grams to calories by multiplying it by 9 (since 1 gram of fat provides 9 calories).
0.5 grams of saturated fat x 9 calories per gram = 4.5 calories from saturated fat
Therefore, out of the 120 total calories in one serving of crackers, 4.5 calories come from saturated fat.
To find the percentage of calories that come from saturated fat, we can divide the number of calories from saturated fat by the total number of calories in one serving of crackers, and then multiply by 100.
(4.5 calories from saturated fat / 120 total calories) x 100 = 0.0375 x 100 = 0.4%
Therefore, each serving of crackers provides 0.4% of calories from saturated fat.
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Please help me find an equation for this
Answer:
The equation that represents this situation is x + 3x + (x - 4) + 2(x - 4) = 72, where x is Erik's age
Step-by-step explanation:
Let us solve the question
Assume that Erik is x years old
∵ Erik is x years old
∵ Erik is \(\frac{1}{3}\) as old as Dawn
→ That means x = \(\frac{1}{3}\) Dawn
∴ x = \(\frac{1}{3}\) Dawn
→ Multiply both sides by 3
∴ 3x = Dawn
∴ Dawn is 3x years old
∵ Jiro is 4 years younger than Erik
→ That means Jiro = x - 4
∴ Jiro is (x - 4) years old
∵ Alita is 2 times as old as Jiro
→ That means Alita = 2 × (x - 4)
∴ Alita = 2 × (x - 4)
∴ Alita is 2(x - 4) years old
∵ The sum of all their ages is 72
→ That means add their ages and equate the sum by 72
∴ Erike's age + Dawn's age + Jiro's age + Alita's age = 72
∴ x + 3x + (x - 4) + 2(x - 4) = 72
The equation that represents this situation is x + 3x + (x - 4) + 2(x - 4) = 72, where x is Erik's age
Find the equation of the linear function represented by the table below in slope-
intercept form.
Answer:
y = 5x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (2, 9)
m = \(\frac{9-4}{2-1}\) = \(\frac{5}{1}\) = 5 , then
y = 5x + c ← is the partial equation
To find c use any ordered pair from the table and substitute into the partial equation.
Using (3, 14 ) , then
14 = 15 + c ⇒ c = 14 - 15 = - 1
y = 5x - 1 ← equation of line
A circle with radius of 2 cm sits inside a 7cm x 11cm rectangle. what is the area of the shaded region?round your final answer to the nearest hundredth
Answer:
64.44cm^2
Step-by-step explanation:
11×7 -pi ×2^2=77-31.4×4=77-12.56= 64.44 cm^2
what is the standard deviation
of the data set 28 34 27 42 52 15
The standard deviation of the data set {28, 34, 27, 42, 52, 15} is approximately 11.73.
To calculate the standard deviation of the data set {28, 34, 27, 42, 52, 15}, we can follow these steps:
Find the mean (average) of the data set by summing all the numbers and dividing by the total count:
Mean = (28 + 34 + 27 + 42 + 52 + 15) / 6 = 198 / 6 = 33.
Calculate the difference between each data point and the mean:
Subtract the mean from each data point: {28 - 33, 34 - 33, 27 - 33, 42 - 33, 52 - 33, 15 - 33} = {-5, 1, -6, 9, 19, -18}.
Square each of the differences obtained in step 2:
Square each value: \({(-5)^2, 1^2, (-6)^2, 9^2, 19^2, (-18)^2} = {25, 1, 36, 81, 361, 324}.\)
Find the mean of the squared differences:
Sum the squared differences: 25 + 1 + 36 + 81 + 361 + 324 = 828.
Divide by the total count (6): 828 / 6 = 138.
Calculate the square root of the mean of squared differences:
Standard deviation = √138 ≈ 11.73 (rounded to two decimal places).
Therefore, the standard deviation of the given data set {28, 34, 27, 42, 52, 15} is approximately 11.73.
The standard deviation measures the spread or variability of the data points from the mean, indicating the average distance of each data point from the mean.
In this case, the standard deviation of 11.73 suggests that the data points are relatively spread out from the mean value of 33.
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Consider the following data set. Round your answers to the nearest hundredth as needed.36 65 45 50 6535 65 56 42 29Mean =Median =Mode =Range =Sample Standard Deviation =Check Answer
The data is given as,
\(36\text{ , 65, 45, 50 , 65, 35, 65, 56, 42, 29.}\)The mean is defined as,
\(A=\frac{36+65+45+50+65+35+65+56+42+29}{10}\)\(A=\frac{388}{10}\)Thus the mean is 38.8.
The mode of the data is the value repeated most number of times.
\(\text{Mode}=\text{ 65.}\)The median is determined as, first set the data in ascending order.
\(29,35,\text{ 36, 42, 45, }50\text{ , 56, 65, 65, 65.}\)\(\text{Median }=\frac{\lbrack(\frac{n}{2})th\text{ }+(\frac{n}{2}+1)th\rbrack}{2}\)Substiute the value of n equals ot 10,
\(\text{Median}=\frac{\lbrack(\frac{10}{2})th+(\frac{10}{2}+1)\rbrack}{2}\)\(\text{Median}=\text{ }\frac{5th\text{ }+6th}{2}\)\(\text{Median }=\frac{45+50}{2}\)\(\text{Median}=\text{ }\frac{95}{2}\)Thus, the median is 47.5
The range of the data is the difference between the highest and lowest value.
\(R=65-29\)\(R=36.\)The range is 36.
78 - 24 - (14 - 6) x 2
Answer:
x .2=2x
Step-by-step explanation:
38
Hope this helps!
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drew has $ 18. this is $6 more than liam has. how many dollars does liam have
Answer:
Liam has $12.
Step-by-step explanation:
Since Drew has $18 and that is $6 more than Liam's amount of money, you would subtract 6 from 18.
18-6=12
Hence, Liam has $12.
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12. A hot air balloon is flying at an altitude of 1,000 ft. The pilot wants to increase the altitude of
the balloon at 5° angle over the next 500 ft. What will be the balloon's change in altitude?
(sin 5° -0.0872; cos 5º = 0.9962; tan 5° = 0.0875)
A. 25.8 ft
B 43.7 ft
C. 231.4 ft
D. 498 ft
Balloon's altitude = 43.7ft as
change in altitude/500 = tan 5°
change in altitude = .0875*500
=43.7ft
four subtracted from 9
Answer:
5
Step-by-step explanation:
9 - 4 = 5
Hope This Helps
Have a great day!!!!!!
Diego want to paint his room purple. He bought one gallon of purple paint that is 30% red paints and 70% blue paints. Diego wants to add more blue to mix that the paint mixture is 20% red, 80% blue.
How much blue paint should Diego add? Test the following possibilities: 0.2 gallons, 0.3 gallons
Answer:
10 gallons
Step-by-step explanation:
This segment has endpoints A(-7,1) and B(-1,4). The dashed orange segments show the rise & run triangle that goes with segment AB. Draw
numbers on the graph to specify the values for rise and run.
-
Answer:
i think ur rise over run is up 1 over to the right 2
Step-by-step explanation:
i
due now pls help!!!!!!!!!!!
Answer:
A and D
Step-by-step explanation:
so sorry im in school
x+y=4
-y. -y
x=4-y
4-y-y=2
4-2y=2
-4 -4
-2y= -2
/-2. /-2
y=1
x+1=4
-1 -1
x=3
so A and D is correct
what structure is indicated by: 10a, 15t, 3g, 7c?
The structure indicated by: 10a, 15t, 3g, 7c? is a structure related to the composition of a DNA or RNA sequence.
The given information "10a, 15t, 3g, 7c" suggests a pattern or structure related to the composition of a DNA or RNA sequence.
In molecular biology, DNA and RNA are made up of nucleotides, which consist of a nitrogenous base (adenine, thymine/uracil, guanine, or cytosine) and a sugar-phosphate backbone.
Based on the provided data, it appears that the numbers preceding each letter indicate the count or frequency of that particular nucleotide in the sequence.
Therefore, the structure indicated by "10a, 15t, 3g, 7c" implies the composition of a DNA or RNA sequence with the following nucleotide counts:
10 adenine (A) nucleotides (abbreviated as 10a)
15 thymine (T) nucleotides (abbreviated as 15t)
3 guanine (G) nucleotides (abbreviated as 3g)
7 cytosine (C) nucleotides (abbreviated as 7c)
Together, these nucleotides make up a portion of the DNA or RNA sequence, indicating the presence and quantity of each base in that particular section.
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