Use continuity to evaluate the limit.
lim 16+radical x/ radical 16+x
1+9
Consider the intervals for which the numerator and the denominator are continuous.
The numerator 16+ radical x is contintuous on the interval
[0,00)
0
The denominator V16 + I is continuous and nonzero on the interval
(16,00)
X
The interval for which the quotient is continuous is the intersection of the above intervals.
16+
Therefore, the quotient
is continuous on the interval
716 +1
[-16,0]
X
Since 2
9 is in the interval (0, 0), then fis continuous at x = 9. Therefore,
19
16 + VE
lim
179 16 +2
f(9)
00
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Answer:
Use continuity to evaluate the limit.
lim 16+radical x/ radical 16+x
1+9
Consider the intervals for which the numerator and the denominator are continuous.
The numerator 16+ radical x is contintuous on the interval
[0,00)
0
The denominator V16 + I is continuous and nonzero on the interval
(16,00)
X
The interval for which the quotient is continuous is the intersection of the above intervals.
16+
Therefore, the quotient
is continuous on the interval
716 +1
[-16,0]
X
Since 2
9 is in the interval (0, 0), then fis continuous at x = 9. Therefore,
19
16 + VE
lim
179 16 +2
f(9)
00
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Step-by-step explanation:
what is 9 to 8 to simplest
3 and 4 is the lcd
lcd means least common factor
simpleest it ¾ the answer
Answer:
3/4 hope its helpssssssss
Explain answer !!
( WILL GIVE BRAINLEST)
Answer:
B
Step-by-step explanation:
Cross product.
3xy= 3y
4x6= 24
3y/3
24/3= 8
Lisa purchased almonds for $3.50 per pound here
de and your estimate
2450 How many pounds of almonds did she
purchase?
Billy has a set of wooden boards. Each board is 0.6 meters long. If Billy lays 4 boards end-to-end, how many meters long will the line of boards be?
Answer:
2. 4 meters long
Step-by-step explanation:
0. 6 times 4 equals 2. 4
A tv sells for $300 and is marked down 30%. What is the amount of
the discount and the sale price
Answer:
the amount of discount is $210
Step-by-step explanation:
30(.30)
90
90 is 30% of 300
subtract:
300-30= 210
Answer:$210
Step-by-step explanation:
2m+(m-15)=90 solve for m
Answer:
m = 35
Step-by-step explanation:
2m + m -15 = 90
3m -15 = 90
+15 +15
3m = 105
/3 /3
m = 35
To check the work just insert 35 for m:
2(35) + 35 -15 = 90
70 + 35 -15 = 90
105 - 15 = 90
90 = 90
it takes carina on average 20 minutes to assemble product x . how many of products x can carina be expected to assemble in 3 hours and 40 minutes if she takes a 20 minute work break during her assembly time
Carina can assemble 10 products within the give time
Kayla is thinking of a 3-digit number.
* It is divisible by 18.
* It is a palindrome (It reads the same left-to-right as it does right-to-left, like 252 and 848).
* It is one less than a multiple of 5.
What is Kayla’s number?
Answer:
kaylas thinking of the number 414
Step-by-step explanation:
414 is divisable by 18 (414 divided by 23)
414 is palindrome
414 is one less than a multiple of 5 (415)
Answer:
414
Step-by-step explanation:
The last digit must be 4 or 9 since it is one less than a multiple of five. Then, it says the number must be divisible by 18, and 18 = 2x9. Only 4 is divisible by 2, so four must be the last digit. Since it's a palindrome, the first digit must also be four. Since it also has to be divisible by nine, 4 + 4 = 8, and 8 + 1 = 9.
Look at the attachment
Answer:
7/8
Step-by-step explanation:
3 1/2x1/4 Calculator!!!!!!! srry if it is not the answer.
If the coordinates of a pre-image are (x, y), which motion rule represents a counterclockwise rotation of 90° about the origin?
Answer:
b
Step-by-step explanation:
2. A graphic designer is creating an advertisement for a tablet. She needs to enlarge the picture so that 2
Inches on the scale drawing will correspond to 5 Inches on the actual advertisement. If the dimensions
of the scale drawing are 3 Inches by 4 inches, what will be the length and width of the tablet on the
actual advertisement
PLEASE HELP ASAP!
Answer:
lol the answer is 49
Step-by-step explanation:
hope this helps <3
1 2/5 x 1 2/5 as a fraction mixed fraction
Answer:
1 24/25 or one and twenty-four twenty-fifths (in word form).
Step-by-step explanation:
This would be the answer since, we firstly have to convert the mixed fractions into improper fractions. 7/5*7/5, which equals to 49/25. In simplified form it would be 1 2/25.
1 2/5=7/5
7/5*7/5= 49/25 or 1 24/25.
Anyhow, the answer is 1 24/25
The simplified mixed fraction for the given fraction is [tex]24\frac{1}{2}[/tex]
What are mixed fractions?A fraction represented with its quotient and remainder is a mixed fraction, a mixed fraction is a combination of a whole number and a proper fraction.
Given that a fraction [tex]1\frac{2}{5}[/tex] × [tex]1\frac{2}{5}[/tex]
We need to simply it in a mixed fraction,
[tex]1\frac{2}{5}[/tex] × [tex]1\frac{2}{5}[/tex]
= 7/2 × 7/2
= 49 / 2
= [tex]24\frac{1}{2}[/tex]
Hence, the simplified mixed fraction for the given fraction is [tex]24\frac{1}{2}[/tex]
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The absolute value of -15 is -15 because -15 is 15 units to the left of zero
Answer: False
Step-by-step explanation: The absolute value of -15 is 15.
Find the tenth term of the geometric sequence with a1 = 3, and r = 2.
1377
1526
1659
1536
1500
General term of GP: a
1
r
n−1
10
th
term of GP =a
1
r
9
=45(0.2)
9
=23040×10
−9
=2.304×10
−5
Answer:
1536
Step-by-step explanation:
The n th term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]
Here a₁ = 3 and r = 2 , then
a₁₀ = 3 × [tex]2^{9}[/tex] = 3 × 512 = 1536
please help me if you can
Answer:
1) 160 2) 218.64
Step-by-step explanation:
v=lwh (length)×(width)×(height)÷3
1. 10× 6× 8= 480÷3
2. 10.6× 9.1× 6.8= 655.928 ÷ 3 =218.6426 (218.64)
John can read 12 1/2 pages in 25 minutes. At this same rate, how long would it take to read 1 page? How many pages could he expect to read in 1 minute
Answer:
divide 12 and 1/2 by 25 and can I get branliest
Step-by-step explanation:
Answer:
it would take him 2 minutes to read one page
He can read half a page in 1 minute
Step-by-step explanation:
Part 1
ratio time/pages
25/12.5=x/1
cross multiply
12.5x=25
x=2
ratio time/pages
25/12.5= 1/x
cross multiply
25x=12.5
x=0.5
Question is in the Picutre attached.
Sal is tiling his entryway. The floor plan is drawn on a unit grid. Each unit length represents 1 foot. Tile
costs $2.05 per square foot. How much will Sal pay to tile his entryway? Round your answer to the nearest
cent.
Sal will pay $1
to tile his entryway.
Answer: 89.18
Explanation:none your welcome
5 3/10 - 1.5 please help me
Answer:
es igual a 111.111.111.011
The dry cleaning fee for three pairs of pants is $18. How much will it cost to clean 11 pairs of pants?
How many bases does a triangular prism have?
(if you explain I will give brainlyist)
Answer:
there are two bases and three sides/faces.
Could you please show work :)
Answer:
x= 12/7
Step-by-step explanation:
3x+4x=12
Step 1: Simplify both sides of the equation.
3x+4x=12
(3x+4x)=12(Combine Like Terms)
7x=12
7x=12
Step 2: Divide both sides by 7.
7x 7 = 12 7 x= 12 7
12/7
2 1/8x+3/4x+1/6-7/12x+5 2/3
Answer:
5/24(11x+28)
Step-by-step explanation:
The table shows the number of goals scored by Number of goals Frequency
each of 22 footballers.
0
4
A bar chart showing this information has
1
5
been started below.
2
8
3
5
8
7
6
a) Fill in the label for the
horizontal axis.
Frequency
COOL -
b) Draw the remaining bars.
2
1
c) Give the bar chart a title.
0
0
3
1
2
Numberof goals
An appropriate label for the horizontal axis of this bar chart is "Number of goals" and its title should be "The number of goals scored by a team."
What is a bar graph?A bar chart is also known as bar graph and it can be defined as a type of chart that is used for the graphical representation of data (information), especially by using rectangular bars or vertical columns.
The appropriate label for the horizontal axis of this bar chart is "Number of goals" and its title should be "The number of goals scored by a team."
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Solve for x and y: (x + yi) -(2-1) = 12 +7i
Answer:
These are the answers.
Step-by-step explanation:
A line with -2 and y intercept of 4
Answer:
The equation of the straight line y = -2x +4
Step-by-step explanation:
Explanation:-
Given that the slope of the line m=-2
Given that y-intercept c=4
The equation of the straight line
slope -intercept form y =mx +c
The equation of the straight line y = -2x +4
witch division problem does the number line below best illustrated
A 10 ÷2= 5
B 15 ÷3= 5
C 50 ÷5=10
D 20 ÷10=5
Consider the following equation
3x + 9y = 8y - 2
Step 2 of 2: Find the equation of the line which passes through the point (13,5) and is perpendicular to the given line. Express your answer in
slope-intercept form. Simplify your answer.
Answer:
The perpendicular line is:
y = 1/3 x + 2/3
Step-by-step explanation:
The given equation can be reduced to its slope-intercept form as shown below:
3x + 9y = 8y - 2
subtract 8 y from both sides
3 x + y = -2
subtract 3 x from both sides
y = - 3 x -2
therefore we know that the slope of this line is -3, and then, a perpendicular line to it must have slope given by the "opposite of the reciprocal" of this slope. That is, the slope of any perpendicular line to this one must be: 1/3
We use this slope to find the equation of the line passing through the point (13. 5)
y = 1/3 x + b
passing through (13, 5) means:
5 = 1/3 (13) + b
therefore, we can find b from the above equation
b = 5 - 13/3 = 15/3 - 13/3 = 2/3
Then the equation of this perpendicular line is:
y = 1/3 x + 2/3
A tree casts a shadow 21m long. The angle of elevation of the sun is 51º. What is the height of the tree? Round your answer to the nearest tenth.
Answer:
25.9
Step-by-step explanation:
If a tree casts a shadow 21 m long. Then the height of the tree will be 25.9 meters.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
A tree casts a shadow 21 m long.
The angle of elevation of the sun is 51°.
Let h be the height of tree.
Then the height of the tree will be
tan 51° = h / 21
h = 25.93 m
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