Answer:
19.6
Step-by-step explanation:
Which graph represents the function f(x)=5lnx?
Answer:
The first graph (top-left) is the correct graph.
Please, also check the attached graph.
Step-by-step explanation:
Given the function
[tex]f\left(x\right)=5\:lnx[/tex]
First, we should determine the x and y-intercepts.
Determining the y-intercept:
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
Thus,
substitute x = 0 in the function
y = lnx
y = ln(0)
y = undefined
Therefore, at x = 0, the value of y becomes undefined.
Hence, None is the y-intercept.
Determining the x-intercept:
We know that the value of the x-intercept can be determined by setting y = 0 and determining the corresponding value of x.
Thus,
substitute y = 0 in the function
0 = ln(x)
Flipe the equation
ln(x) = 0
Solve algorithm
ln(x) = 0
Take exponent of both sides
[tex]\:e^{ln\left(x\right)}=e^0[/tex]
[tex]x\:=e^0[/tex]
[tex]x = 1[/tex]
Thus, the point of x-intercept is: (0, 1)
Conclusion:
Now, if we carefully check the graph options, we can easily figure out that the first graph (top-left) correctly displays the x and y-intercepts.
It is clear from the graph that:
at x = 0, y is heading towards -ve infinity.
at y = 0, x = 1
Therefore, the first graph (top-left) is the correct graph.
Please, also check the attached graph.
The circle below is centered at the point (3, 1) and has a radius of length 2.
What is its equation?
10
A. (x-1)2 + (y - 3)2 = 4
B. (x + 1)2 + (y + 3)2 = 2
C. (x+3)2 + (x + 1)2 = 4
O D. (x-3)2 + (x - 1)2 = 2²
Answer:
D
Step-by-step explanation:
Just took the Quiz on A p e x
Lucy separates a number of paintbrushes, x, into 2 equally sized groups. She claims that this is the same as making a group 1/2 the size of his original group. Create an equation that models Lucy's claim.
Answer:
x/2 = 1/2x
Step-by-step explanation:
# of paintbrushes/ 2 piles = 1/2 # of paintbrushes
Answer:
x/2
Step-by-step explanation:
Since Lucy is taking the paintbrushes, x, and splitting them into 2 equally sized groups we can assume that this IS 1/2 the size of the original group.
We can show this claim by simply doing this equation: x/2, since she is splitting them into 2 groups that are equally sized, we are just dividing x by two.
How heavy is a 225 meter cable if a 3 meter section weighs 1.3 kg?
Tate woks at an ice cream stand. Every customer can choose one of two toppings-sprinkles or chocolate chips.
He recorded the age group and the chosen topping for a sample of 120 customers. Here are the results:
Age group Sprinkles Chocolate chips Neither Total
Children
Adults
Total
27
13
40
38
22
60
7
13
20
72
48
120
Of the adults in the sample, what fraction ordered sprinkles?
Of the adults in the sample collected by Tate at the ice cream stand, the fraction that ordered sprinkles is 13/48.
What is the fraction of adults that ordered sprinkles?
A fraction is a non-integer that is made up of a numerator and a denominator. The numerator is the number above and the denominator is the number below. An example is 1/2.
The fraction of adults that ordered sprinkles = number of adults that ordered sprinkles / total number of adults
= 13/48
To learn more about fractions, please check: https://brainly.com/question/25779356
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Answer:
16
Step-by-step explanation:
khan
A rectangle is drawn so that the width is 3 feet shorter than the length. The area of the rectangle is 70 square feet. Find the length of the rectangle.
Answer:
The length of the rectangle (l) = 10 cm
The width of the rectangle (w) = 7 cm
Step-by-step explanation:
Step(i):-
Let 'x' be the length of the rectangle
Given that the width is 3 feet shorter than the length
The width of the rectangle = x -3
Area of the rectangle = length × width
Step(ii):-
Area of the rectangle = length × width
= x ( x-3)
Given that the area of the rectangle = 70 square feet
x ( x-3) = 70
⇒ x² - 3x - 70 =0
⇒ x² - 10 x + 7 x - 70 =0
⇒ x (x -10) +7( x-10) =0
⇒ ( x+7) ( x-10) = 0
⇒ x =-7 and x=10
Final answer:-
we choose x=10
The length of the rectangle (l) = 10 cm
The width of the rectangle (w) = 7 cm
Two numbers are missing from this table. how can the missing numbers be found.
Answer:
Multiply input by 2
Step-by-step explanation:
The pattern is the input multiplied by 2. Just multiply the input value by 2 and you get the output value.
Stephanie collected maple syrup from some of her trees. From the first set of trees, she collected 2 gallon of syrup. The second
1
and third set of trees yielded 3 gallons each.
Part A: How many gallons of syrup did she collect in all?
Part B: After using some of the syrup she collected for cooking, Stephanie found that she only had a gallons of syrup left. How
much syrup did she use for cooking?
Answer:
Part A - 8
Part B - 7
Step-by-step explanation:
Part A
She collected 8 gallons of syrup in total. Two gallons from first tree, three gallons from second tree and three gallons from third tree.
Part B
She used seven gallon of syrup for cooking.
She is left with one gallon syrup only out of total eight gallon syrup
Farmer Joe Crazyhair has 12.4 acres of land. He uses 4.52 acres of land for growing fruits and 6.15 acres of land for growing vegetables. How many acres are not being used by Mr. Crazyhair? :)
What is the answer to this
Answer:
C
Step-by-step explanation:
Because I know
What is a coefficient? Give me an example.
Answer:
A coefficient is the number next to a letter. It's used to multiply a variable. If there is just a variable then the coefficient is 1. For example 6x.
Step-by-step explanation:
Which expression is equivalent to b ● 56?
Answer:
56b
Step-by-step explanation:
PLEASE HELP AND BE FRFR
Answer:
the answer is 8 !!!!!!!!!!!!!!!!!!!!!!!!!!!
What is the factored form of 27a^6+ 8g12?
• (302 +29^)(302-60g+294)
(302 +294)(904-6d9* +49)
(30* + 294)(90* +60+94 +499)
(30 129°)(3d - Bag + 20°)
Answer:
(3 a ^2 + 2 g^4 ) ( 9 a ^4 − 6 a ^2 g ^4 + 4 g ^8 )
Step-by-step explanation:
(3 a ² + 2 g⁴ ) ( 9 a⁴ − 6 a ² g⁴+ 4 g ⁸ ) is the factored form of the expression 27a⁶+ 8g¹²
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 27a⁶+ 8g¹²
In the expression the variables are a and g
The operators used in the expression are plus.
We need to find the factored form of the given expression.
When the quadratic expression is a product of two factors where each one is a linear expression, this is called the factored form
(3 a ² + 2 g⁴ ) ( 9 a⁴ − 6 a ² g⁴+ 4 g ⁸ )
Hence, (3 a ² + 2 g⁴ ) ( 9 a⁴ − 6 a ² g⁴+ 4 g ⁸ ) is the factored form of the expression 27a⁶+ 8g¹²
To learn more on Expressions click:
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Maggie stacked a box that was 83 centimeters (cm) tall on top of a box that was 128 centimeters. How tall was the stack of boxes in meters and centimeters?
Answer:
211 centimeter ; 2.11 meter
Step-by-step explanation:
Given that:
Height of box 1 = 128 cm
Height of box 2 = 83 cm
Stacking box 2 on the box 1 :
Height of stack :
Height of box 1 + height of box 2
128 cm + 83 cm = 211 cm
Converting 211 cm to meter :
100 cm = 1 m
211 cm = (211 / 100) m
= 2.11 meter
The Burj Khalifa in Dubai is the tallest building in the world, at 2,717 feet. It is 217 feet taller than 5 times the height that the Dubai Fountain reaches. How high does the Dubai Fountain reach?
feet
The Burj Khalifa in Dubai is the tallest building in the world, at 2,717 feet. It is 217 feet taller than 5 times the height that the Dubai Fountain reaches. How high does the Dubai Fountain reach?
Answer:
The Dubai Fountain is 500ft tall.
Step-by-step explanation:
2,717 - 217 = 2500
2500/500 = 500ft.
Ex:
The Burj Khalifa in Dubai is the tallest building in the world, at 2,717 feet. It is 217 feet taller than 5 times the height that the Dubai Fountain reaches. How high does the Dubai Fountain reach?
Answer:
The Dubai Fountain is 500ft tall.
Step-by-step explanation:
2,717 - 217 = 2500
2500/500 = 500ft.
...
Choose all the comparisons that are true.
A. 3.63 > 3.91
B. 3.63 < 3.91
C. 2.90 > 2.09
D. 2.90 < 2.09
E. 2.51 < 2.15
F. 2.51 > 2.15
Answer: c and f
Step-by-step explanation:
C and f because the opening of the symbol goes to the highest one like 9>1 it says 9 is greater so that how I knew thoughs were right
Tarzan loaded 45 trucks in 15 hours. Find his loading speed in trucks per hour
Answer:
His loading speed would be 3 trucks in 1 hour
determine the domain and the range of this relation {(-3,4),(-2,4),(-1,-1),(3,-1
Answer:
Step-by-step explanation:
D:(-1,3)
R:(-1,4)
Find the degree of this polynomial: ?
5x8 – 8x4 + 4
A construction team gives an estimate of three months to repave a large stretch of a very busy road with their core crew of 9 people. The government responds that it is too much of an inconvenience to have this busy road obstructed for three months, so the job must be completed in one month. If the relationship between construction time and crew members is inversely proportional, how many crew members does the construction team need if they are to complete the job in one month
Answer:
27
Step-by-step explanation:
9 crew members complete a job in 3 months
Number of crew members is inversely proportion to construction time :
Let :
Crew members = m
Construction time = t
m α 1 /t
m = k/t
m = 9 ; t = 3
9 = k /3
k = 27
If t = 1 (one month)
m =?
m = k/t
m = 27 / 1
Hence;
m = 27 * 1
m = 27 workers
A square is shown below. What is the perimeter of the square? A. 23 units B. 32 units C. 46 units D. 92 units
Answer:
32unitsStep-by-step explanation:
Find the diagram of the square attached
Perimeter of a square = 4L
L is the side length of the square
Given
Assume the side length is 8units
L = 8units
Perimeter of the square = 4(8)
Perimeter of the square = 32units
Hence the perimeter of the square is 32units
Answer: D, 92.
Step-by-step explanation: I've done the lesson
Help ASAP PLEASE!!!
Answer:
3rd option
Step-by-step explanation:
The weights of 1000 onions from a certain farm follow a normal distribution with a mean of 150 g and a standard deviation 15 g from the data we can conclude that about blank onions way more than 165 g in about blank onions way less than 135 g
Answer:
About 159 weigh more than 165 g and about 159 g weigh less Than 135 g
Step-by-step explanation:
Given that :
Mean, μ = 150
Standard deviation, σ = 15
Using the Zscore formula :
Zscore = (x - μ) / σ
For x > 165
P(x > 165)
Z = (165 - 150) / 15
Z = 15 /15 = 1
P(Z > 1) = 0.15866 (Z probability calculator)
1000 * 0.15866 = 158.66 = 159
For x < 135
P(x < 135)
Z = (135 - 150) / 15
Z = - 15 /15 = - 1
P(Z > - 1) = 0.15866 (Z probability calculator)
1000 * 0.15866 = 158.66 = 159
Answer:
160 and 160
Step-by-step explanation:
each section is 16% of the whole.
calculate a²b+a³b/a²b²
Step-by-step explanation:
a³+a²b+ab²+a³b+a²b²-a²b-ab²-b³-a²b²+ab³ = 2/3 ... plus 3Y is equal to 11 find the point where it presented by the equation cuts Y and X axis.
1 answer
I need help
are all intergers a closed or open whoel number when subtracting or adding them together
Answer:
Integers are always closed under subtraction, addition and multiplication, not division though. Hope this helped! :D
Step-by-step explanation:
Jim and Joyce are saving for their annual vacation. They are going to Hawaii and their plane Tickets costs $2418 total. They have saved 1804 so far. If they are able to save $55 per week. how many weeks of saving will it take before they have saved at least S2418?
Answer:
12 Weeks.
Step-by-step explanation:
2418 minus 1804 is 614.
614 divided by 55 is 11.1, and you can't have 11.1, so you round to 12.
So 12 is therefore your answer.
What do you call segments, rays, or lines that are added to a given diagram?
Answer:
auxiliary lines
Step-by-step explanation:
PLEASE HELP been stuck all day
Answer:
0.60, 2/3, 70%, 3/4, .85
Step-by-step explanation:
h(x)=x2-5x+7 find when 1-3h(-8)
Answer:
The value of the expression is -332.
Step-by-step explanation:
We are given the following function:
[tex]h(x) = x^2 - 5x + 7[/tex]
We have to solve the following expression:
[tex]1 - 3h(-8)[/tex]
The numeric value at x = -8 is:
[tex]h(-8) = (-8)^2 - 5(-8) + 7 = 64 + 40 + 7 = 111[/tex]
The expression is:
[tex]1 - 3h(-8) = 1 - 3(111) = 1 - 333 = -332[/tex]
The value of the expression is -332.