Given:
An elevation of - 12 m is higher than an elevation of -17 m.
An elevation of - 17 m is lower than an elevation of -14 m.
To find:
The set of inequalities that correctly expresses these relationships.
Solution:
An elevation of - 12 m is higher than an elevation of -17 m.
We know that, higher than means greater than and it is represented by the inequality ">". So,
[tex]-12>-17[/tex]
An elevation of - 17 m is lower than an elevation of -14 m.
We know that, lower than means less than and it is represented by the inequality "<". So,
[tex]-17<-14[/tex]
Therefore, the required set of inequalities is [tex]-12>-17[/tex] and [tex]-17<-14[/tex].
Note: The inequality signs are not proper in the options.
What are the coordinates of the point that is 3/8 of the way from A(-8, -9) to B (24, -1)
(-6,4)
(-2,4)
(4,-6)
(12,-4)
Answer:
C. (4, -6)
Hope it helps :)
The length of a rectangle is eight more than double the width. If the perimeter is 130 inches, find the
dimensions.
Answer:
The length is 46 inches and the width is 19 inches
Step-by-step explanation:
Let w represent the width.
The length of the rectangle can be represented by 2w + 8, since it is eight more than double the width.
Use the perimeter formula, p = 2l + 2w. Plug in 130 as the perimeter and 2w + 8 as l, then solve for w:
p = 2l + 2w
130 = 2(2w + 8) + 2w
130 = 4w + 16 + 2w
130 = 6w + 16
114 = 6w
19 = w
So, the width is 19 inches. Plug in 19 as w into 2w + 8 to find the length:
2w + 8
2(19) + 8
38 + 8
= 46
The length is 46 inches and the width is 19 inches
how many comparisons are needed to merge two ordered lists
[2, 9, 12, 17, 20] and [1, 4, 5, 6, 7, 8, 23]
how many comparisons are needed to merge two ordered lists
[2, 9, 12, 17, 20] and [1, 4, 5, 6, 7, 8, 23]
There are 11 comparisons to merge the two lists
How to determine the number of comparisons?The ordered lists are given as:
[2, 9, 12, 17, 20] and [1, 4, 5, 6, 7, 8, 23]
The number of elements in both lists are:
5 and 12
So, the number of comparison is:
Comparison = 5 + 7 - 1
Evaluate
Comparison = 11
Hence, there are 11 comparisons to merge the two lists
Read more about ordered lists at:
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A bill originally amounting Rs 1550, now amounts to Rs 1736 after adding VAT. Find the VAT rate.kaabil original amounting
Answer: 12%
Step-by-step explanation:
Original amount = Rs 1550
VAT = Rs 1736 - Rs 1550 = Rs 186
VAT rate = VAT/Original amount × 100
= 186/1550 × 100
= 18600/1550
= 12%
Therefore, the VAT rate is 12%.
Check:
= Rs 1550 + (12% × Rs 1550)
= Rs 1550 + $186
= Rs 1736
What is the area of a triangle in square units with the points (-3,-4), (8,-4), (-1,4)
Step-by-step explanation:
base = 11
height = 8
so are is 11 x 8 /2
= 44
Here is some record keeping from a coffee shop about their paper cups. Cups are delivered 2,000 at a time. day change Monday +2000 Tuesday -125 Wednesday -127 Thursday +1719 Friday -356 Saturday -782 Sunday 0 1. Explain what a positive and negative number means in this situation. PLEASE HELP ME
Answer: the numbers with the plus sign are positive and the ones with the negative sign are negative
Step-by-step explanation:
Find h.
9 ft
h =
= [?] ft
4 ft

Hemp me solve
Answer:
9ft =2.743m
kjhgfdfvhhgddfcvh
give one reason why people loan money from the bank
Step-by-step explanation:
We borrow money because we want to buy something. It may be as large as a property or a car, or something smaller like furniture or a computer. We may borrow money to spend it on experiences. It may be something as large as a loan to travel the world, to something smaller, like using a credit card for a meal out.
Kyle works at a donut factory, where a 10-oz cup of coffee costs 95¢, a 14-oz cup costs $1.15, and a 20-oz cup costs $1.50. During one busy period, Kyle served 14 cups of coffee, using 204 ounces of coffee, while collecting a total of $16.70. How many cups of each size did Kyle fill?
Kyle filled ___ 10-oz cup(s), ___ 14-oz cup(s), and ___ 20-oz cup(s).
Answer:
Kyle filled 4 10-oz cups, 6 14-oz cups, and 4 20-oz cups.
Step-by-step explanation:
Let 10-oz, 14-oz, and 20-oz coffees be represented by the variables a, b, and c, respectively.
Since a total of 14 cups of coffee was served:
[tex]a+b+c=14[/tex]
A total of 204 ounces of coffee was served. Therefore:
[tex]10a+14b+20c=204[/tex]
A total of $16.70 was collected. Hence:
[tex]0.95a+1.15b+1.5c=16.7[/tex]
This yields a triple system of equations. In order to solve a triple system, we should isolate the system to only two variables first.
From the first equation, let's subtract a and b from both sides:
[tex]c=14-a-b[/tex]
Substitute this into both the second and third equations:
[tex]10a+14b+20(14-a-b)=204[/tex]
And:
[tex]0.95a+1.15b+1.5(14-a-b)=16.7[/tex]
In this way, we've successfully created a system of two equations, which can be more easily solved. Distribute:
For the Second Equation:
[tex]\displaystyle \begin{aligned} 10a+14b+280-20a-20b&=204\\ -10a-6b&=-76\\5a+3b&=38\end{aligned}[/tex]
And for the Third:
[tex]\displaystyle \begin{aligned} 0.95a+1.15b+21-1.5a-1.5b&=16.7\\ -0.55a-0.35b&=-4.3\end{aligned}[/tex]
We can solve this using substitution. From the second equation, isolate a:
[tex]\displaystyle a=\frac{1}{5}(38-3b)=7.6-0.6b[/tex]
Substitute into the third:
[tex]-0.55(7.6-0.6b)-0.35b=-4.3[/tex]
Distribute and simplify:
[tex]-4.18+0.33b-0.35b=-4.3[/tex]
Therefore:
[tex]-0.02b=-0.12\Rightarrow b=6[/tex]
Using the equation for a:
[tex]a=7.6-0.6(6)=4[/tex]
And using the equation for c:
[tex]c=14-(4)-(6)=14-10=4[/tex]
Therefore, Kyle filled 4 10-oz cups, 6 14-oz cups, and 4 20-oz cups.
I have 8 carrots my Brother Ate 2
How Much I have left?
Answer:
6?Step-by-step explanation:
..........................
Planes A and B intersect.
Which describes the intersection of line m and line n?
P
m
2
O point w
O point X
Opoint Y
point Z
.
n2
X
Y
W
k
.
V
2
-
Answer:
I think about point Y ......
If planes A and B intersect, point w describes the intersection of line m and line n.
What is Coordinate system?A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements.
In the given figure, the planes A and B intersected.
We have to find the point where the line l and line m intersects.
The intersection of a line and a line can be the empty set, a point, or another line.
Two straight lines will intersect at a point if they are not parallel.
The point of intersection is the meeting point of two straight lines.
The lines m and line n are intersected at the point w.
Hence, if planes A and B intersect, point w describes the intersection of line m and line n.
To learn more on Coordinate system click:
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If Sarah turns 15 on august 27 and her graduation year is 2024 how old will she be when she graduates high school?
Answer:
She will be 17
Step-by-step explanation:
My sister is like that but she's graduating in 22'
It sort of depends where Sarah lives -.-
But if she starts high school when she's 15 (in 2021) and she graduates in 2024 it means high school is three years.
So 15 plus 3.
Sarah will be 18 when she graduates high school.
A fast-food chain claims one medium order of its onion rings weighs 114 grams. Patrice thinks she is getting less than what the restaurant advertises. She weighs the next 16 random orders of onion rings before she eats them and finds the sample mean is 112.4 grams and the standard deviation is 7.63 grams. What conclusion can be drawn α = 0.10?
Answer:
Patrice does not have sufficient evidence to reject the fast-food chain's claim.
Step-by-step explanation:
unless she already ate some fries, not enough evidence
Tell whether the shape appears to have zero lines, 1 line, or more than 1 line of symmetry. Select zero, 1, or more than 1. There is/are ? line(s) of symmetry.
Answer:
This Symbol has 4 lines of Symmetry
Match each inequality to the number line that represents its solution
Answer:
x - 51 [tex]\leq[/tex] 43
x - 99 [tex]\leq[/tex] -104
75 < 69 - x
150 + x ≤ 144
Step-by-step explanation:
How many natural numbers are there between 8² and 9² ?
Answer:
19
Step-by-step explanation:
Answer:
i think the answer 17
81-64 =17Belief in UFOs A survey found that of people believe that they have seen a UFO. Choose a sample of people at random. Find the probability of the following. (a) At least 3 people believe that they have seen a UFO.(b) 2 or 3 people believe that they have seen a UFO.
Answer:
b is the answer am not sure you know
Answer:
a) 3/10
b)3/10
Step-by-step explanation:
let the sample of people be 10
so,
a) total outcome=10
favourable outcome=3
P(seeing a UFO)= 3/10
b) total outcome=10
favourable outcome=2 or 3
P(seeing a UFO)= 2/10+3/10-(2/10
5/10-2/10
=3/10
In triangle ABC, the measure of angle B is 22° more than three times the measure of angle A. The measure of angle C is 53° more than the measure of angle A. Find the measure of each angle.
Answer:
105
Step-by-step explanation:
53+22=75, 180-75=105
Can :) mean happily taken on a bio? Alex got it on his?
Answer ASAPPPP
Someone
Answer:
Yes,
Step-by-step explanation:
When " :) " is used in a bio it means the person is happy
Find two integers whose sum is -5 and product is -36
Answer:
-6 & 6
Step-by-step explanation:
-6 time 6 is -36
Answer:
-9+4= -5
Step-by-step explanation:
-9 times 4= -36
Negative Nine plus four equals negative five
negative Nine times four equals negative thirty six
In order for the data in the table to represent a linear
function with a rate of change of +5, what must be the
value of a?
Answer:
Step-by-step explanation:
Answer: C) a=18
Step-by-step explanation: Hope i helped :)
If 5(y-2) - 3(y + 4) = 0, then y
IS
A. -1
B. 3
C. 7
D. 11
Answer:
Y is -1.
Step-by-step explanation:
If you substitute the values, you find that that's the correct answer.
Share 30 000 bags of 20kg rice in the ratio 2:3:4:6 among Villages A, B, C and D in that order. (2 marks) How many bags of 20 kg rice will Villages B and C get?
Answer:
2+3+4+6 = 15 parts
Village B gets 3 of 15 parts
3/15 * 30000 = 6000 bags
Village C gets 4 of 15 parts
4/15 * 6000 = 8000 bags
Answer:
each "share" needs "15" (2+3+4+6) "portions/bags"
2000 distributions
A-4000 bags/80000 kg
B-6000 bags/120000 kg
C-8000 bags/1680000 kg
D-12000 bags/240000 kg
Step-by-step explanation:
A bag contains 10 red marbles, 8
blue marbles and 2 yellow
marbles. What is the probability of
getting a blue marble?
No step by step answers or links
Answer:
1. k = 15
2. d = 20
3. n = 3
Use an appropriate series in (2) in Section 6.1 to find the Maclaurin series of the given function. Write your answer in summation notation. 1 5 x
Answer:
[tex]e^{\frac{1}{5}x} = \sum\limits^{\infty}_{k=0} \frac{1}{5}^k \cdot \frac{x^k}{k!}[/tex]
Step-by-step explanation:
Poorly formatted question.
The given parameters can be summarized as:
[tex]e^x = \sum\limits^{\infty}_{k=0} \frac{x^k}{k!}[/tex] ----- the series
Required
Determine [tex]e^\frac{1}{5}^x[/tex]
We have:
[tex]e^x = \sum\limits^{\infty}_{k=0} \frac{x^k}{k!}[/tex]
Substitute [tex]\frac{1}{5}x[/tex] for x
[tex]e^{\frac{1}{5}x} = \sum\limits^{\infty}_{k=0} \frac{(\frac{1}{5}x)^k}{k!}[/tex]
Split
[tex]e^{\frac{1}{5}x} = \sum\limits^{\infty}_{k=0} \frac{1}{5}^k \cdot \frac{x^k}{k!}[/tex]
I. Read each question carefully, then write the letter of the correct answer.
1. What is the relationship of the volume between a prism and a pyramid of the same dimensions?
A. the volume of the pyramid is 2/3 of the volume of the prism
B. the volume of the pyramid is 3/3 of the volume of the prism
C. the volume of the pyramid is 1/3 of the volume of the prism
D. the volume of the pyramid is 3/2 of the volume of the prism
2. The volume of a cone is the volume of a cylinder if both are of the same dimensions.
A. double B. thrice
C. twice
D. 4 times
3. How many cones can fill the whole sphere with the same dimension?
A. 1
B. 2
C.3
D.4
4. If the volume of a cylinder is 120 m3, what will be the volume of a cone with the same dimension?
A.180m3
B. 60 m3
C. 40 m3
D. 30 m3
5. What is the length of the edge of a cube if it has a volume of 27 cubic inches?
A. 9 in
B. 6 in
C. 3 in
D. 2 in
Answer:
The answer for number 1 is C
Is The slope of a line perpendicular to y = 2x + 1 is -2.
d
Answer:
-1/2
Step-by-step explanation:
The slopes of perpendicular lines are negative reciprocals
the negative reciprocal of 2 is -1/2
PLEASE LOOK at the photo and help me on these 2 questions :(!!!!!
Answer:
1) f(g(2)) = 24
2) f(g(-1)) = -4
Step-by-step explanation:
1) GIven f(x) = x²+2x and g(x) = 2x
f(g(x)) = f(2x)
f(2x) = (2x)² + 2(2x)
f(2x) = 4x² + 4x
f(g(x)) = 4x² + 4x
f(g(2)) = 4(2)² + 4(2)
f(g(2)) = 16+8
f(g(2)) = 24
2) f(x) = x+1 and g(x) = 5x
f(g(x)) = f(5x)
f(5x)= 5x + 1
f(g(x)) = 5x + 1
f(g(-1)) = 5(-1) + 1
f(g(-1)) = -5+1
f(g(-1)) = -4
Farmer Jane would like to show a net profit of $1,000 per month. She is growing tomatoes and sells them for $3 per pound. Her variable costs per pound are $1, and she has $700 in fixed cost. How many pounds does she need to sell?
Answer:
850
Step-by-step explanation:
Each pound of tomatoes costs one dollar to produce, and sells for three dollars. That's a net profit of 2 dollars per pound of tomatoes.
We need a profit of 1000 dollars, and to pay the 700 dollars in operating costs, for a total of 1700 dollars needed.
So 1700 dollars divided by 2 dollars per pound of tomatoes comes out to 850 pounds of tomatoes.
