The new height above sea level would be Option (C) 3980m.
New sea-level = Previously given sea level + 20m
Given,
Height above sea previously = 4000m
Increase in sea level = 20m
Now, since there has been a rise in sea level due to global warming the distance between the previous 4000m mark and the sea level would decrease. This shall now be less than 4000m. The distance/height would reduce by 20m. It can also be observed that the distances below the sea level would increase due to a rise in the sea level mark.
∴ New height above sea level = 4000m - 20m
= 3980m.
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Apply the distributive property to factor out the greatest common factor.
24+32p= _____
Answer:
8(3+4p)
Step-by-step explanation:
8 goes into 24 and 32, so it can be factored out:
\(24+32p=8(3+4p)\)
Answer:
8(3 + 4p)
Step-by-step explanation:
Factor 24 + 32p
First, factor out the GCF. In this case, the GCF is 8, and we have
8(3 + 4p)
We can't factor anymore so the answer is 8(3 + 4p)
what is 2x+3=41 find x
Answer:
2x24=3=41
Step-by-step explanation:
Answer:
x = 19
Step-by-step explanation:
2x+3=412x +3 -3= 41 - 32x = 382x/2 = 38/2x = 19Someone please help me answer this!!
Answer:
\(9^1^0\)
Step-by-step explanation:
Hope this helps.
Use the graph of g to find g(x) = 3.
pls help solve quick!
By using the graph of g, the solution to g(3) is equal to 8.
What is a function?In Mathematics and Geometry, a function can be defined as a mathematical expression which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair in tables or relations.
What is a domain?In Mathematics and Geometry, a domain is sometimes referred to as input value and it can be defined as the set of all real numbers for which a particular function is defined.
When the domain (input value) of the given function g(x) shown in the graph is 3, the output value (range) is given by;
g(3) = 8.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Can someone help me please i need help with this problem
Write an equation for a rational function with:
Vertical asymptotes at x = -2 and x = 6
x-intercepts at x = 5 and x = -1
y-intercept at 4
y =
Answer: (-2, 4)
Step-by-step explanation:
Figure ABCD is a rhombus. Find the
value of x.
B
3x - 11
E
X +9
A
D
X = [?]
Help please
Answer:
Step-by-step explanation:
3x-11 = x+9
2x = 20
x = 10
Answer:
x=10
Step-by-step explanation:
Expand and simplify 4(x-3)+3(2x-5).
\(4(x-3)+3(2x-5)\\\\=4x -12 + 6x -15\\\\=10x - 27\)
Determine the interval(s) for which the function
shown below is decreasing.
Check the picture below.
given f with rightwards arrow on top subscript a b end subscript equals open parentheses 350 i with hat on top minus 250 j with hat on top minus 450 k with hat on top close parentheses space n, the distance between point a and b is 19 m, and point b is located at the origin (0, 0, 0) m, where is point a located on a cartesian coordinate system?
A cartesian coordinate system is a 3-dimensional plane that is used to represent the position of a point in space. the point a is located at (-2, 3, 18) m.
This plane has three axes - x, y, and z, which are perpendicular to each other.
Let us now solve the given question,
Given function,f with rightwards arrow on top subscript a b end subscript equals open parentheses 350 i with hat on top minus 250 j with hat on top minus 450 k with hat on top close parentheses space nDistance between points a and b is given as 19 m.
Distance between two points in 3D space is given as,d
= √[(x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2]
Here, point b is located at the origin (0, 0, 0) m.
Substituting the given values in the above formula,
19 = √[(0 - xa)^2 + (0 - ya)^2 + (0 - za)^2]
Squaring both sides,
361 = x2a + y2a + z2a ........
From the given function, f with rightwards arrow on top subscript a b end subscript equals open parentheses 350 i with hat on top minus 250 j with hat on top minus 450 k with hat on top close parentheses space n,Comparing this with the general function
,f with rightwards arrow on top subscript a b end subscript equals open parentheses x i with hat on top plus y j with hat on top plus z k with hat on top close parentheses space n
We get,x = 350 m, y = -250 m, and z = -450 m
Substituting these values in the above equation (1),
361 = (350)^2 + (-250)^2 + (-450)^2 + (x2a + y2a + z2a)
Hence,x2a + y2a + z2a = -362So,
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How many cars have highway mpg in the 30's
Answer:
Just Ford.
Step-by-step explanation:
From Model T to Prius The Model T had fuel economy on the order of 13-21 mpg
Uncle Drew scored 28 point in 5 5/6 minutes during a game of basketball. How many points did he average per minute during that 5 5/6 minutes?
We can calculate the average by dividing the total point by the total period.
We start by expressing the period in minutes, that is a mixed number, in fractional form:
\(5+\frac{5}{6}=\frac{5\cdot6+5}{6}=\frac{30+5}{6}=\frac{35}{6}\)Then, we can divide the total score by this number:
\(\frac{28}{35\text{ / }6}=28\cdot\frac{6}{35}=\frac{168}{35}=4.8\)He averaged 4.8 points per minute.
The sum of three numbers is 13. the sum of twice the first number, 4 times the second number, and 5 times the third number is 40. the difference between 5 times the first number and the second number is 5. find the three numbers.
If sum of three numbers is 13. the sum of twice the first number, 4 times the second number, and 5 times the third number is 40. the difference between 5 times the first number and the second number is 5 then three numbers are 15/4, -9/2 and 55/4.
Let x, y and z are the three numbers
The sum of three numbers is 13
x+y+z=13...(1)
The sum of twice the first number, 4 times the second number, and 5 times the third number is 40.
2x+4y+5z=40...(2)
The difference between 5 times the first number and the second number is 5.
5x-y=5...(3)
x=5+y/5...(4)
By solving the four equations we get
x=15/4, y=-9/2 and z=55/4
Hence, the three number are 15/4, -9/2 and 55/4.
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7
Are the two triangles similar? If so, why are they similar?
(a)
A The triangles are similar by the definition of similarity (all congruent angles, all proportional sides)
B The triangles are similar by AA- Theorem
The triangles are similar by SSS- Theorem
The triangles are not similar
(b)
If they are similar, what is the similarity statement?
A ASTR - ALKR
Answer:
option B is correct answer
because it is similar by AA similarity -.theorum
A shoe manufacturer claims that among the general adult population in the United States that the length of the left foot is longer than the length of the right foot. To compare the average length of the left foot with that of the right foot, we will take a random sample of adults and measure the length of the left foot and then the length of the right foot. Based on our sample, does the data indicate that the length of the left foot is greater than the length of the right foot? Is the hypothesis one-tailed or two-tailed?
We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot.
How to test the data indicate that the length of the left foot is greater than the length of the right foot?A statistical test is required to determine whether the length of the left foot is greater than the length of the right foot. The null hypothesis states that there is no difference in average length between the left and right feet. The alternative hypothesis is that the left foot's average length is greater than the right foot's average length.
This hypothesis is one-tailed, as we are only interested in whether the left foot is longer than the right foot. We are not considering the possibility that the right foot could be longer than the left foot.
A t-test can be used to determine whether the difference in average length between the left and right feet is statistically significant. We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot if the p-value of the t-test is less than the chosen significance level (e.g., 0.05).
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Apply the distributive property to factor out the greatest common factor. 56+32=56+32=56, plus, 32, equals
Answer:
8(7 + 4) = 88
Step-by-step explanation:
56:
1 x 56
2 x 28
4 x 14
7 x 8
32:
1 x 32
2 x 16
4 x 8
Answer:
8(7+4)
Step-by-step explanation:
Jessie bought 12 cases of soda for the party. If his total bill was $41.40, how much did each case cost?
Answer:
B. $3.45
Step-by-step explanation:
Number of cases of soda bought = 12
Total bill payed = $41.40
Let x represent the cost of 1 case.
Thus:
12x = $41.40
Divide both sides by 12
12x/12 = 41.40/12
x = 3.45
Cost of each case = x = $3.45
Which rectangular prism has a volume equal to the impression 6 * 3 * 4
Answer:
6
Step-by-step explanation:
Answer:
Step-by-step explanation:
The prism will have
L=6, W=3 and H=4
not sure about the question, it is a rectangular prism,
it cant be a cube
the system of equations is graphed on the coordinate plane y=-1/2x-1 and y=1/4x-4 enter the coordinates of the solution to the system of equations in the boxes
Answer:
The coordinates are ( 4, -3).
Step-by-step explanation:
We can find the coordinates by solving the 2 equations
y = 1/4x-4
y = -1/2x-1
As both left sides of the equation are y we can say:
-1/2x-1 = 1/4x-4
-1/2x - 1/4x = -4 + 1
-3/4 x = -3
x = -3 * -4/3
x = 4.
- and y = 1/4(4) - 4 = -3.
Answer:
(4, -3)Step-by-step explanation:
See the attached graph.
The intersection of the lines gives us the solution:
(4, -3)2/5 of employees in a company drive to work, 1/3 travel by bus and the rest walk. 1. Find the fraction of who walk.
Answer:
4/15
Step-by-step explanation:
2/5 drive
1/3 bus
and rest walk
fraction of those who walk is 1-(2/5+1/3)
2/5+1/3=(6+5)/15=11/15
15/15-11/15=4/15
What is the central angle(pic included)
Answer:
72
Step-by-step explanation:
circumference = 20
arc = 4
4/20 =1/5
a circle = 360°
1/5 * 360 = 72
Peggy constructed the 95 percent confidence interval (4.8,5.2) to estimate the slope of a regression model for a set of bivariate data with 24 data values. Peggy claims that the width of the confidence interval will increase if a sample size of 30 is used, all other things remaining the same. Quincy claims that the width of the confidence interval will decrease if a sample size of 30 is used. Which statement is true about the claims made by Peggy and Quincy?
А. Peggy's claim is correct.
B. Quincy's claim is correct.
C. Both Peggy's claim and Quincy's claim are correct
D. Neither Peggy's claim nor Quincy's claim is correct.
E. There is not enough information to determine whether the claims are correct.
Answer:
B. Quincy's claim is correct.
Step-by-step explanation:
Margin of error of a confidence interval:
The margin of error of a confidence interval has the following format:
\(M = z\frac{s}{\sqrt{n}}\)
In which z is related to the confidence level, s is the standard error and n is the size of the sample.
From this interval, we have that the margin of error and the sample size are inversely proportional, that is, if we increase the sample size, the margin of error decreases, and so does the width of the confidence interval.
Peggy claims that the width of the confidence interval will increase if a sample size of 30 is used, all other things remaining the same.
Peggy is wrong, as the increase of the sample size results on the decrease of the margin of error, and a decrease of the width.
Quincy claims that the width of the confidence interval will decrease if a sample size of 30 is used.
Margin of error decreases, and so does the width of the interval, thus, Quincy's claim is correct, and the correct answer is given by option b.
8/10-5/10 help me i need to do this for math
Answer:
3/10
Step-by-step explanation:
Answer:
\(\frac{3}{10}\)
Step-by-step explanation:
\(\frac{8}{10}\) - \(\frac{5}{10}\) = \(\frac{3}{10}\)
Hope this helps. Plz give brainliest.
A line with gradient of -3 passes through the points(3,k) and (k,8). Find the value of k and hence express the equation of the line in the form ax + by = c, where a,b and c are constants.
Answer:
3x + y = 9.5
Step-by-step explanation:
1) The equation of a line is in the form of y = mx + c, where m is the gradient and c is the y-intercept. Write the given values in that form.
y = -3x + c
2) Find the value of k by using the following formula: m = y2 - y1 / x2 - x1. We already know m.
-3 = 8 - k / k - 3
-3(k - 3) = 8 - k
-3k + 9 = 8 - k
-3k + k = 8 - 9
-2k = -1
k = -1/-2
k = 1/2
3) Therefore, a line with gradient of - 3 passes through the points (3, 1/2) and (1/2, 8). We can find the y-intercept (c). To do so, choose one of the coordinates and substitute.
y = -3x + c
1/2 = -3(3) + c
1/2 = -9 + c
1/2 + 9 = c
9.5 = c
Completed equation of the line: y = -3x + 9.5
4) Write it in the form of ax + by = c.
3x + y = 9.5
please help i dont know
$490 at 2.1% compounded
quarterly for 6 months
The volume of a box is 400 in3. The height is 5 in. What is the area of the base of the box
Answer:
80 in^2
Step-by-step explanation:
Length x width x height = vol
Length x width x 5 = 400
Length x width = 400/5
Length x width = 80 in^2
Length x width = area = 80 in^2
A textile artist is asked
to make a wall-hanging that measures at most
3.75 feet wide by 6.5 feet tall. When finished,
the wall hanging measures 3 3/8 feet wide by
6 3/4 feet tall. Does the wall hanging meet the
specifications?
He wouldn’t be able to meet the specifications as the heigh is greater than the maximum height.
In mathematics, the greater than sign is a basic mathematical notation used to represent an inequality between two values. The symbol used to denote greater inequality is “>”. It is the commonly accepted mathematical notation of two strokes of equal length that meet at an acute right angle. A typical use of the greater than sign is to compare two values, where the first is greater than the second, or one is greater than the other. The greater than sign is an approximation of a closing square bracket.Maximum width of the wall hanging can be 3.75 feet and maximum height can be 6.5 feet.
After completing the work it was found that the width measures 3 3/5 feet and height was 3 3/4 tall.
If the height and width after completing the work is less than or equal to the maximum height and width then he will be able to meet the specifications .
Width
3 3/4
= (12+3)/4
= 15/4
= 3.75
Height
6 3/4
= (24+3)/4
= 27/4
= 6.75
He wouldn’t be able to meet the specifications as the heigh is greater than the maximum height .
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Add 26°34' and 51°22'
Answer:
2006
Step-by-step explanation:
A bacteria population is modeling by b(t) = 10e^5t million bacteria after t days. how fast is the population growing after 3 days?
The population of this bacteria is growing at the rate of 10.897 trillion per day.
What is the growth rate?The growth rate refers to the change from one period to another.
It also refers to the average growth per day, especially in the case of bacteria.
Bacteria population = b(t) = 10e^5t million
The number of days, t = 3
e = 2.71828
10e^5t million = 10 x 2.71828^5x3 million
= 10 x 2.71828^15 million
= 10 x 3268984.38894 million
= 32,689,843,889,400
Growth per day = 10.897 trillion
Thus, we can conclude that the bacteria is increasing at the growth rate of 10.897 trillion per day.
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Choose the definition for the function PLS HELP
Answer:
Which function please explain