Niall hikes 250.6 meters up a mountain. If he is 70% of the way up, how many meters tall is the mountain?
Answers
Answer:
358
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
Related Questions
Cody has $7. He wants to
buy at least 4 snacks. Hot
dogs (x) are $2 each.
Peanuts (y) are $1 each.
Which ordered pair is a
solution?
x + y >4
2x + y 37
Answers
2x + y ≤ 7 is the solution
Which recursive sequence would produce the sequence 3, 8, 28, ...?
Answers
\(7.5x^2-17.5x+13\)
Would be the equation needed to produce the sequence
A parcel delivery service has contracted you to design a closed box with a square base that has a volume of 8500 cubic inches.
A) Express the surface area of the box as a function of X
B) Graph the function found in part a .
C) What is the minimum amount of cardboard that can be used to construct the box.
D) What are the dimensions of the box that minimize the surface area.
E) why might UPS be interested in designing a box that minimize the surface area.
Answers
A) Let the side length of the square base be x, and the height of the box be h. Then, the volume of the box is given by:
V = \(x^2\) * h = 8500
Solving for h, we get:
h = 8500 / \(x^2\)
The surface area of the box can be expressed as:
S = 2x^2 + 4xh
Substituting the value of h obtained above, we get:
S = \(2x^2\) + 4x(8500 / \(x^2\)) = 2\(x^2\)+ 34000 / x
Thus, the surface area of the box can be expressed as a function of x.
B) To graph the function, plot the surface area (S) on the y-axis and the side length of the square base (x) on the x-axis. Since x cannot be negative, the domain of the function is (0, infinity). As x gets very large or very small, the surface area approaches infinity, so we should only graph the function for values of x that make sense in the context of the problem.
C) The minimum amount of cardboard required to construct the box is equal to the surface area of the box. To find the minimum surface area, we need to find the minimum of the function S(x) obtained in part A.
D) To find the dimensions of the box that minimize the surface area, we need to find the value of x that minimizes the function S(x). We can do this by taking the derivative of S(x) with respect to x, setting it equal to zero, and solving for x. This gives us:
dS/dx = 4x - 34000/\(x^2\) = 0
Multiplying both sides by \(x^2\) and solving for x, we get:
x = (8500/2\()^(1/3)\) ≈ 18.3
Therefore, the dimensions of the box that minimize the surface area are a square base with side length of approximately 18.3 inches, and a height of:
h = 8500 / \(x^2\) ≈ 26.2 inches
E) UPS might be interested in designing a box that minimizes the surface area because it can reduce the amount of cardboard used in each box, resulting in cost savings and a reduced environmental impact. Additionally, minimizing the surface area of a box can make it more efficient to stack and transport, reducing shipping costs and making the overall process more sustainable.
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A) The Surface Area = \(X^2 + 34000/X\)
B) The y-axis and the side length X on the x-axis.
C) The minimum amount of cardboard required to construct the box is approximately 1649.39 square inches.
D) The dimensions of the box that minimize the surface area are X = 20.5 inches and Y = 16.87 inches.
E) Smaller boxes take up less space in delivery trucks and planes, allowing more packages to be shipped at once and reducing transportation costs.
A) Express the surface area of the box as a function of X:
Let the side length of the square base be X and the height of the box be Y. Then, we know that the volume of the box is 8500 cubic inches, so:
\(X^{2Y} = 8500\)
To find the surface area of the box, we need to add up the area of each face. There are 5 faces in total (the bottom square and 4 identical rectangular sides), so:
Surface Area = \(X^2 + 4XY\)
We can substitute the value of Y from the equation for volume, giving:
Surface Area = \(X^2 + 4X(8500/X^2)\)
Surface Area = \(X^2 + 34000/X\)
B) Graph the function found in part a:
To graph this function, we can plot the surface area on the y-axis and the side length X on the x-axis. The graph will have a minimum value, which we can find using calculus or by using a graphing calculator.
C) What is the minimum amount of cardboard that can be used to construct the box:
The minimum amount of cardboard required to construct the box is the surface area of the box. To find this minimum value, we need to find the minimum point on the graph in part b. From the graph or by using calculus, we can see that the minimum occurs at X = sqrt(8500/5) = 20.5 inches. Substituting this value into the equation for surface area, we get:
Surface Area = \(20.5^2 + 4(20.5)(8500/20.5^2)\)= 1649.39 square inches
D) What are the dimensions of the box that minimize the surface area:
From part c, we know that the minimum occurs at X = sqrt(8500/5) = 20.5 inches. To find the height of the box, we can substitute this value of X into the equation for volume:
\(X^2Y = 8500\)
\((20.5)^2 Y = 8500\)
\(Y = 8500/(20.5)^2 = 16.87\) inches
E) Why might UPS be interested in designing a box that minimizes the surface area:
UPS and other parcel delivery services are always looking for ways to reduce their costs and increase efficiency. By designing a box that minimizes the surface area while still containing the same volume of goods, they can reduce the amount of cardboard used for each shipment. This would save them money on materials and shipping costs, while also reducing their environmental impact. Additionally, smaller boxes take up less space in delivery trucks and planes, allowing more packages to be shipped at once and reducing transportation costs.
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Convert 7.6miles to kilometers with solutions
Answers
Answer:
12.2 km
Step-by-step explanation:
Here is ONE way :
7.6 mi * 5280 ft/mi * 12 in / ft / (39.37 in / m * 1000 m / km) = 12.2 km
Monique is factoring the expression 4 x + 16 x y. Her work is shown below. Factors of 4x: 1, 2, 4, x Factors of 16xy: 1, 2, 4, 8, 16, x, y GCF: 4x Factored expression: 4 x (0 + 4 y) Which best describes the accuracy of Monique's solution? Monique's solution is accurate. Monique made an error when listing the factors, which affected the GCF and the factored expression. Monique made an error when determining the GCF from her list of factors. Monique made an error when writing the factored expression.
Answers
Answer:
Monique made an error when writing the factored expression.
Step-by-step explanation:
The factorisation of the expression 4x+16xy is 4x(1+4y).
The given expression is 4x+16xy.
What is factorisation?In mathematics, factorization or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.
Now, 4x=2×2×x and 16xy=2×2×2×2×x×y
so, the GCF of terms 4x.
Now, 4x(4x/4x+16xy/4x)=4x(1+4y)
Therefore, the factorisation of the expression 4x+16xy is 4x(1+4y).
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I need help.How do you do this?
Answers
Answer:
what did u learn today?
A vase contains 60 marbles, all of which are red or orange. if the ratio of red marbles to orange ones is 1:5, what is the total number of red marbles in the vase?
Answers
The total number of red marbles in the vase are 10.
What is the ratio?A ratio is described as a comparison between two amounts with the same unit to determine the amount of 1 quantity is contained in the other. Ratios are divided into two sorts.
The first is a part-to-part ratio, and the second is a part-to-whole ratio. The part-to-part ratio expresses the relationship between 2 separate entities or groupings.
Now, according to the question;
Let 'x' be the red marbles in the vase.
Let 'y' be the orange marbles in the vase.
The total number of marbles in the vase are 60
x + y = 60 (equation 1)
The ratio of red marbles to orange ones is 1:5.
Thus, x/y = 1/5
cross multiplying;
5x = y
or y = 5x
substitute the value of y in equation 1;
x + y = 60 (equation 1)
x + 5x = 60
6x = 60
x = 10 (red marbles)
Thus, the number of red marbles in the vase are 10.
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Write the slope intercept form of the equation for each line
Answers
The equation of the line in slope-intercept form is: y = -4/5x - 8/5.
How to Write the Slope-intercept Form Equation of a Line?Using two points on the line, say, (-2, 0) and (3, -4), follow the steps below to find the equation of the line:
Step 1: Find the slope of the line
Slope (m) = (-4 - 0)/(3 -(-2))
Slope (m) = -4/5
Step 2: Find the y-intercept (b)
Substitute m = -4/5 and (x, y) = (-2, 0) into y = mx + b
0 = -4/5(-2) + b
0 = 8/5 + b
0 - 8/5 = b
b = -8/5
Step 3: Substitute m = -4/5 and b = -8/5 into y = m + b
y = -4/5x - 8/5
Thus, the equation of the line in slope-intercept form is: y = -4/5x - 8/5.
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WILL GIVE BRAINLIEST !!!
A hiker in Africa discovers a skull that contains 63% of its original amount of C-14. Find the age of the skull to the nearest year.
Answers
Answer:
3800 +/-10
Step-by-step explanation:
4) John has a balance of $1,500 in his First State Bank checking account. He
deposits a $477.29 paycheck, a $237.52 dividend check, and a personal
check for $550 into his account. He wants to receive $728 in cash. How
much will he have in his account after the transaction?*
O $1,925.02
O $2,036.81
O $1,375.32
$1,598.90
Answers
Answer:
2036.81
Step-by-step explanation:
1500+477.29+237.52+550=2764.81
2764.81-728=2036.81
Kelli buys a new backpack for $35. There is a 20% discount and a 7% tax. What will be the final cost of the backpack?
Answers
Answer:
29.96
Step-by-step explanation:
First find the discount
35 * 20 %
35*.2
7
Subtract the discount from the price
35-7
28
Now find the tax on the new price
28* 7%
28 *.07
1.96
Add the tax to the new price
28+1.96
29.96
How many solutions exist for the system below? In two or more complete sentences, give the solution and explain how you solved the system. y=-2x + 3 y = -2×3x
Answers
Answer:
See below
Step-by-step explanation:
y=-2x + 3
y = -2*3x
Both equations are lines.
Two lines will intersect at one point
I will set the two equations equal and solve for the x coordinate.
-2x+3 = -6x
Add 2x from each side
3 = -4x
Divide by -4
-3/4 = x
Now find y
y = -6x
y = -6(-3/4)
y = 18/4 = 9/2
The solution is ( -3/4, 9/2)
If angles of the triangle are In 2:3:7 then find all the angles
Answers
Answer:
Since all triangle angles sum to 180 then we can say
2x + 3x + 7x = 180
12x = 180
x = 15
There fore the angles are
2 * 15 3 * 15 and 7 * 15 or
30 45 and 105
Those 3 total 180 degrees
Step-by-step explanation:
Can anyone help me solve this question and give proof how you got the answer
Answers
Answer:
y=5
Step-by-step explanation:
line intersects number 5 on the y axis
Have a good day :)
How to do these in excel?
1. In a survey of 3,660 adults concerning complaints about restaurants, 1,530 complained about dirty or ill-equipped bathrooms and 1,206 complained about loud or distracting diners at other tables. Complete parts (a) through (c) below.
Question content area bottom
Part 1
a. Construct a 95% confidence interval estimate of the population proportion of adults who complained about dirty or ill-equipped bathrooms. enter your response here≤π≤enter your response here (Round to four decimal places as needed.)
Answers
The 95% confidence interval estimate of the population proportion is 0.418 ± 0.016.
To construct a 95% confidence interval estimate of the population proportion of adults who complained about dirty or ill-equipped bathrooms, we can use the formula for a confidence interval for a proportion.
The formula for a confidence interval for a proportion is given by:
CI = p ± z * \(\sqrt{p(1-p)/n}\)
Where:
p is the sample proportion (number of successes divided by the sample size)
z is the z-score corresponding to the desired confidence level (for a 95% confidence level, the z-score is approximately 1.96)
n is the sample size
In this case, the sample size is 3,660, and the number of adults who complained about dirty or ill-equipped bathrooms is 1,530.
First, calculate the sample proportion:
p = (Number of successes) / (Sample size)
p = 1,530 / 3,660
p ≈ 0.418
Next, calculate the margin of error:
ME = z * \(\sqrt{p(1-p)/n}\)
ME = 1.96 * \(\sqrt{0.418(1-0.148)/3660}\)
ME ≈ 0.016
Finally, construct the confidence interval:
CI = p ± ME
CI = 0.418 ± 0.016
The 95% confidence interval estimate of the population proportion of adults who complained about dirty or ill-equipped bathrooms is approximately 0.418 ± 0.016.
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Can somebody plz answer these fractions questions correctly only if u know them!!!
(WILL MARK AS BRAINLIEST)
:D
Answers
Answer:
1) 1/4<7/12<2/3<5/6
2) 1 1/6<17/12<1 5/8<9/4
Step-by-step explanation:
Answer:
16: 1/4, 2/3, 7/12, 5/6
17: 1 1/6, 17/12, 1 5/8, 9/4
Step-by-step explanation:
Divide each number
16 : 1/4 = .25, 2/3 = .333 , 7/12 = .5888, 5/6 = .8333,
17: 1 + 1/6 = 1.166, 17/12 = 1.41, 1 + 5/8 = 0.625, 9/4 = 2.25
After dividing each fraction, order them from smallest to largest.
I am not sure if this helps, but I tried my best!
i) A farm employs 30 men working 40 hours a week. When some of the men are ill, the
rest have to work 50 hours a week to make up the lost time, how many men are ill?
Answers
Answer:
hi hi hi hi hi hi hi HI hi hi hi hi hi hi hi hi hi hi hi hi hi
Answer:
6 men are ill.
Step-by-step explanation:
the work of 30 men in 40 hours is the product
30×40
an unknown number of men (x) is sick, and now the remaining workers do the same work in 50 hours
(30-x)×50
so,
30×40 = (30-x)×50
1200 = 1500 - 50x
-300 = -50x
x = 6
An airplane begins a descent to a sea-level airport at an angle of -4° to the horizon. What is the change in elevation after it flies 10,000 feet horizontally toward the runway if the original horizontal distance was 15000 feet ?
Answers
Using the slope concept, it is found that the change in elevation was of -699 feet.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
In this problem, we have that:
The vertical change is of h.The horizontal change is of 10,000 feet.The angle is of -4º.Hence:
tan(-4º) = h/10000
h = 10000 x tan(-4º)
h = -699.
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The cost of making 4 lamps is $370.
The cost of making 11 lamps is $755.
What is the cost per lamp?
Answers
So these two sentences are basically saying “it is $370 per 4 lamps” and “it is $755 per 11 lamps.” So if you want the amount of dollars per 1 lamp, divide by the denominator.
370/4 = $92.50 per lamp
$755/11 = $68.64 per lamp
Triangle XYZ with vertices X(-4,-1). Y(-1,2), and Z(2, -4) is translated to the right 3 units.
What are the coordinates of the vertices of triangle X'Y'Z' after the translation?
Answers
Going right three units= +3 to the X coordinates. Hope this helps! :D
Solve for x.
(x+16)
(4x-5)°
11
7
9
13
Answers
Answer:
4
3
+
5
9
2
−
8
0
Step-by-step explanation:
Ryan practiced piano for 3/10 of an hour and soccer for 1/2 an hour. In simplest form, how long did he practice altogether?.
Answers
Answer:
4/5 of an hour
Step-by-step explanation:
1/2 = 5/10 so 5/10 + 3/10 = 8/10. Simplify by 2 and you get 4/5.
What is the a total area of the figure
Answers
Answer:
125cm
Step-by-step explanation:
To find out the width (right side) you do the area ÷ length. 100÷100= 1
To find out how much is sticking out the rectangle, you do 150-100=50. And for area of a triangle you do the length (50) x width (1) ÷ 2 = 25
100+25=125
Anjali was keeping track of how far she walked. She walked 1 1/10 miles on Monday, 4 4/5 miles on Wednesday, and 2 1/4 on Friday. What was the total distance she walked? show your work using decimals. pls help
Answers
Answer:
8.15 miles
Step-by-step explanation:
Monday: 1 1/10 miles = 1.1
Multiply by 10 to get to 100
Wednesday: 4 4/5 miles = 4.8
Multiply by 20 to get to 100
Friday: 2 1/4 miles = 2.25
Multiply by 25 to get to 100
1.1 + 4.8 + 2.25 = 8.15 miles
Evaluate 4(2f-9) when f=5
Answers
Answer:
4(2(5)-9)=4
Step-by-step explanation:
2*5=10-9=1
then 4(1)=4
What are the 4 types of triangle?
Answers
Answer:
Scalene, isosceles and equilateral triangle are the types of triangles
Step-by-step explanation:
They differ from each other based on their side-length. If all the three sides are different in length, then its scalene triangle. If any two sides are equal in length, then it is an isosceles triangle.
Tisha is drawing stars in her notebook. She draws 999 stars on the first page, 999 stars on the second page, 999 stars on the third page, and 999 stars on the fourth page. What kind of sequence is this?
Answers
Answer:
The sequence is that, for every page 999 stars are drawn.
Step-by-step explanation:
999
999
999
999
3996
--
The evolution of 999 began when artist Juice WRLD decided to turn the evil number 6 into good... making and upside down 6 become a 9. Think of it as, "turn that frown upside down", or "turn evil into good".
Ella has two 8ft long boards she needs to cut pieces that are 15 inches long how many 15 inch pieces can she cut the two boards
Answers
Answer:
12
Step-by-step explanation:
Ella has two 8 feet long boards, so in total, she has 16 feet of the boards.
Convert these 16 feet to inches. There are 12 inches in a foot, so multiply 16 by 12:
16(12)
= 192
So, there are 192 inches in the boards. Divide this by 15 to see how many 15 inch pieces she can cut:
192/15
= 12.8
We can only have a whole number answer, because the boards need to be a full 15 inches. So, round this down:
= 12
Ella can cut twelve 15 inch pieces.
What is the area of the triangle?
4
:10
2
units
Answers
Answer:
Your answer is 20
Step-by-step explanation:
as the formula 1/2*4*10=20.
hope it help you if yes then please make me the brainiest.
Thank you
parshv
The Patterson's bought a house for $154,500 and made a down payment of 15%. How much was the down payment
Answers
Answer:
.15 × $154,500 = $23,175 down payment