Answer:
$150
Step-by-step explanation:
The area of the lawn is 12m so 12 x 12.50 is 150. It would cost $150
PLEASE HELP!!
Which statements about the graph of the exponential function f(x) are TRUE? Select all that apply.
A.
The x-intercept is 2.
B.
The y-intercept is 3.
C.
The asymptote is y = -1.
D.
As x increases, f(x) approaches, but never reaches, -1.
E.
The range is all real numbers.
F.
f(x) is positive for all x-values less than 1.
G.
The domain is all real numbers.
Answer:
I need the grahp :)
Step-by-step explanation:
I can at least tell you one thing that all exponential functions have in common, is that G. The domain is all real numbers. I hope this helps :)
All the correct statement are,
B) The y-intercept is 3.
C) The asymptote is y = -1.
G) The domain is all real numbers.
Option B, C and G.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The graph of the exponential function f(x) are shown in figure.
Hence, We get;
The curve intersect the x axis at x = 1.
So, x-intercept is 1.
Hence, Statement A is false.
The curve intersect the y-axis at y= 3.
So, y intercept is 3.
Thus, Statement B is correct.
The curve tends toward infinity at y = -1.
So y = -1 asymptote of the function.
Thus, Statement C is correct.
The range of function is y > -1.
So range is not all real number.
Thus, statement D is incorrect.
The function is defined for x > -0.5. At x = 0.5 function tends toward infinity.
Thus, statement E is incorrect.
As we move from left to right on x-axis then function decreases.
So, The function shows decay.
Hence, The statement F is incorrect.
The value of function approaches -1 as value of x increase but does not cross -1 or touch the value y = -1.
So statement G is correct.
Thus, All the correct statement are,
B, C and G.
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E, F, and H are three of the vertices of rectangle EFGH on the coordinate plane. What are the coordinates of G, the fourth vertex of the rectangle?
if ABCD and EFGH are similar, then you should be able to line up corresponding points (for example, A corresponds to E, B corresponds to F). if they're different sizes, you should then dilate one of them so that they are the exact same size
Answer:
The coordinates of G are (-5, -5)
How is the graph of log (x + 3) translated from the graph of log x?
shifted down 3 units
shifted left 3 units
shifted up 3 units
shifted right 3 units
shifted left 3 units
Graphed Below:
red line: log (x + 3)blue line: log (x)Janae is 4 years younger than Derek. In 7 years the sum of their ages will be 56. How old are they now?
Answer:
I think it's 85 years old
Assume that we have two events, and , that are mutually exclusive. Assume further that we know and . If an amount is zero, enter "". a. What is ? b. What is ? c. A student in statistics argues that the concepts of mutually exclusive events and independent events are really the same, and that if events are mutually exclusive they must be independent. Do you agree with this statement? Use the probability information in this problem to justify your answer. - Select your answer - , because - Select your answer - . d. What general conclusion would you make about mutually exclusive and independent events given the results of this problem? - Select your answer -
Answer:
Explained below.
Step-by-step explanation:
The complete question is:
Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = 0.30 and P(B) =0.40.
What is P(A and B)?
What is P(A | B)?
Is P(A | B) equal to P(A)?
Are events A and B dependent or independent?
A student in statistics argues that the concepts of mutually exclusive events and independent events are really the same, and that if events are mutually exclusive they must be independent. Is this statement accurate?
What general conclusion would you make about mutually exclusive and independent events given the results of this problem?
Solution:
The probability of the two events A and B are:
P(A) = 0.30 and P(B) =0.40
(a)
Compute the value of P (A ∩ B) as follows:
\(P(A\cap B)=0\)
This is because mutually exclusive events are those events that cannot occur together.
(b)
Compute the value of P (A | B) as follows:
\(P(A|B)=\frac{P(A\cap B)}{P(B)}=\frac{0}{0.40}=0\)
Thus, the value of P (A | B) is 0.
(c)
No, P (A | B) is not equal to the P (A).
(d)
As mentioned in part (a), mutually exclusive events are those events which cannot occur together.
That is, \(P(A\cap B)=0\).
Events A and B are independent if the chance of their concurrent happening is equivalent to the multiplication of their distinct probabilities.
That is, \(P(A\cap B)=P(A)\times P(B)\).
The concepts of mutually exclusive events and independent events are not the same.
(e)
As the it is provided that A and B are mutually exclusive events, we know that \(P(A\cap B)=0\).
Now compute the value of \(P(A)\times P(B)\) as follows:
\(P(A)\times P(B)=0.30\times 0.40=0.12\neq 0\)
Thus, the events A and B are not independent.
Thus, if two events are mutually exclusive events they cannot be independent.
Jason bought a case of Macaroni and Cheese last week for $12.56. This week he bought the same size case for $16.98. What was the percent increase? Round to the nearest percent.
a
26%
b
42%
c
4.42%
d
35%
Answer:
A
Step-by-step explanation:
\( \frac{16.98 - 12.56}{16.98} \times 100 = 26\)
Answer:
35.191083%
Step-by-step explanation:
12.56/100=0.1256 (1%)
That's one percent of 12.56. How much by 0.1256 (1% of 12.56) is 16.98 (rised price)?
I used a two-step equation to get the answer
x*0.1256 = 16.98 /0.1256 /0.1256Divide both sides to get
x = 135.191083Now just subtract 100 because that was the old value
135.191083 - 100 = 35.191083and you get 35.191083. Therefore, the answer is D.
What is the slope-intercept equation of a line with a slope of 3/4 and a y-intercept of 4.
Answer:
Equation: y - 3x/4 + 4
Step-by-step explanation:
using the formula:
y = mx + b ................where m is slope and y-intercept is bSo using the formula:
y - 3x/4 + 4Answer:
y = 3/4(x) + 4
Step-by-step explanation:
The slope-intercept equation of a line can be written as y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept.
We are given the slope (m) as 3/4 and the y-intercept (b) as 4. Thus, when we plug in values of m and b, we get the equation of y = 3/4(x) + 4.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
What is the circumference of this circle? Use π ≈ 3.14. Round your answer to the nearest tenth of a centimeter.
the diameter is 13
The circumference of the given circle is 41 cm
What is a circle?A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.
The circumference of a circle is the boundary length of the circle, it is basically the perimeter of the circle, in degree measure it can not exceed by 360°
Given that, a circle, with diameter, 13 cm, we need to find it circumference.
We know that, the circumference of a circle is given by,
Circumference of the circle = π × diameter
= 3.14 × 13
= 40.82
≈ 41 cm
Hence, the circumference of the given circle is 41 cm
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Construct a linear equation for the linear data presented in the table
Answer:
y = -7x
Explanation:
Take two points from table: (-4, 28), (-3, 21)
Find slope:
\(\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points\)
\(\rightarrow \sf slope\ (m): \dfrac{21-28}{-3-(-4)} = -7\)
Now find equation:
\(\sf y - y_1 = m (x - x_1)\)
\(\rightarrow \sf y - 21 = -7(x - (-3))\)
\(\rightarrow \sf y = -7(x +3) + 21\)
\(\rightarrow \sf y = -7x -21 + 21\)
\(\rightarrow \sf y = -7x\)
Slope
m=y/xm=14/-2m=-7Equation of line
y=mx+0y=-7x4. Malaki has a 'no interest-free period' credit card that charges 16.5% p.a. interest. On 9 January he purchases a phone costing K395.00. His January statement is dated 28 January and the phone is the only item on it.
a. How much interest is charged on the January credit card statement?
b. Malaki pays K100.00 off the amount owed on 28 January and makes no more purchases or payments before the next credit card statement arrives on 28 February. How much will this statement show that Malaki owes?
Answer:
K5.60.
Step-by-step explanation:
A cylinder has radius of 4 inches and height 10inches.There’s a small cylinder inside the previous cylinder of radius of 2 inches with the same height and same centre.What is total surface area?
The surface area of the cylinder is 48π inches².
How to find the Surface area of a cylinder?Surface area of a cylinder = 2πr(r + h)
where
r = radiush = heightTherefore,
Surface area of the smaller cylinder = 2 × π × 2(2 + 10)
Surface area of the smaller cylinder = 4π(12)
Surface area of the smaller cylinder = 48π
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A data set of values has a mean of 45 and standard deviation of 5. The z-score for a point A is 0. The z-score for a point B is0.2. What are the values of point A and point B?
Solution:
Given;
A data set of values has a mean of 45 and standard deviation of 5.
The z-score for a point A is 0. The z-score for a point B is 0.2.
To find the values of A and B, we will apply the z-score formula, which is
\(\begin{gathered} z=\frac{x-\mu}{\sigma} \\ Where\text{ } \\ x\text{ is the observed value} \\ \mu\text{ is the mean} \\ \sigma\text{ is the standard deviation} \end{gathered}\)Where
\(\begin{gathered} \mu=45 \\ \sigma=5 \end{gathered}\)For the value of point A,
Where, z = 0 for point A
\(\begin{gathered} z=\frac{x-\mu}{\sigma} \\ 0=\frac{x-45}{5} \\ Crossmultiply \\ 5(0)=x-45 \\ 0=x-45 \\ x=45 \end{gathered}\)Hence, the value of point A is 45
For the value of point B,
Where, z = 0.2 for point B
\(\begin{gathered} z=\frac{x-\mu}{\sigma} \\ 0.2=\frac{x-45}{5} \\ Crossmultiply \\ 0.2(5)=x-45 \\ 1=x-45 \\ Collect\text{ like terms} \\ x=1+45=46 \\ x=46 \end{gathered}\)Hence, the value of point B is 46
Find the measures of the supplementary angles that satisfy each case.
The measure of the first angle is 45° more than the measure of the second.
Answer: 67.5 and 112.5 degrees
-2/7 × 9.75 what is answer
Answer:
-2.78
Step-by-step explanation:
You first divide and then multiply.
a)1 year into second
Answer:
31536000 seconds in a year
Step-by-step explanation:
there are 365 days in a year, 24 hours in a day, 60 minutes in an hour, and 60 seconds in each minute. you have to multiply all of them
Consider the set A with n(A) = 20. How many subsets could be formed from this set?
Answer:
There are \(2^{20}\) subsets of \(A\)
Step-by-step explanation:
Using the formula for the number of subsets of a given (finite) set, the number of subsets of \(A\) is
\(2^{n(A)}=2^{20}\)
del puerto de cabo San Lucas México salen dos barcos el barco México 1,navega con una trayectoria de x+y=88;el barco México 2 navega con una trayectoria de 2x + 2y= -176 en que punto se encontrarán los dos barcos?
The sales tax in your city is 8.8% an item costs $63 before tax how much tax would you pay on that item
Answer:
68.67
Step-by-step explanation:
Round 8.8% to 9%.
multiply 63.00*0.09=68.67
Answer:
$5.54
Step-by-step explanation:
how i found it out
63×.088=5.54
A fully loaded and fueled spacecraft can weigh close to 3.9
million pounds. What is this weight converted to tons?
Answer:1950 US tons
Step-by-step explanation:
A photo 5 inches wide and 8 inches long is enlarged.
How long is the new photo if it is (1)10 inches; (2)15 inches; (3)8 inches wide?
The new photo is_long if it is 10 in wide.
The new photo is_long if it is 15 in wide.
The new photo is_long if it is 8 in wide.
Answer:
1.16 in
2.24 in
3.12.8 in
Step-by-step explanation:
We are given that
Width of photo=5 in
Length of photo=8 in
We have to find the length of new photo in each case.
1. Let x represent the width and y represents the length of photo.
When width increase then length of photo is also increases then it is direct proportion.
Substitute the values then we get
Hence, the length of photo=16 in
2.Width=x=15 in
Again using the formula
Hence, the length of new photo=24 in
3. Width =x=8 in
Substitute the values in the given formula
Hence, the length of new photo=12.8 in
Answer:
1.16 in
2.24 in
3.12.8 in
Step-by-step explanation:
We are given that
Width of photo=5 in
Length of photo=8 in
We have to find the length of new photo in each case.
1. Let x represent the width and y represents the length of photo.
When width increase then length of photo is also increases then it is direct proportion.
Substitute the values then we get
Hence, the length of photo=16 in
2. Width= x=15 in
Again using the formula
Hence, the length of new photo=24 in
3. Width = x=8 in
Substitute the values in the given formula
Hence, the length of new photo= 12.8 in
1. Jon waits on tables and is paid $6.75an hour. In a 40-hour period, he earned $310.50 in tips. What were his total earnings?
Answer:
$617.25
Step-by-step explanation:
$617.25 Because, $310.50(tips) + $306.75(hourly wage)=$617.25
Answer:$580.50
Step-by-step explanation:
:)
Maya adds 6 grams of sugar to a bottle containing 14 grams of warm water. What is the total weight of the sugar and water?
Answer:
The total weight of the sugar and water is 20 grams
Step-by-step explanation:
Given;
weight of sugar Maya added, w₁ = 6 grams
weight of water contained in the bottle, w₂ = 14 grams
The total weight of the sugar and water = 6 grams + 14 grams
The total weight of the sugar and water = 20 grams
Therefore, the total weight of the sugar and water in the bottle is 20 grams.
T=PV/k, determined P when T=80, V=20 and K= 0.5
We have the following equation:
\(T=\frac{PV}{k}\)since we need P, we must move k and V to the left hand side as
\(P=\frac{k\cdot T}{V}\)By substituting the given values, we get
\(\begin{gathered} P=\frac{(0.5)(80)}{20} \\ P=\frac{40}{20} \\ P=2 \end{gathered}\)that is, P is equal to 2.
One more question 50 points
Answer:
5 complete scarves
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Total yarn = (amount of yarn per scarf) (amount of scarfs)
(8/9) = (1/6) (amount of scarfs)
amount of scarfs = (8*6)/9 = 48/9 = 5. 33333, so the amount of complete handkerchiefs she can make is 5.
What Is the area in a triangle 9m 11m?
Answer:
49.5
Step-by-step explanation:
area of triangle = (b x h) / 2
9 x 11 = 99
99 / 2 = 49.5
Hope this helps!
- profparis
CAN SOMEONE HELP WITH THIS QUESTION?
The value of the given summation is:
\(\sum (29a_i - 13b_i) ]= -30\)
How to find the sum?Here we know that the sums are:
\(\sum a_i = -10\\\\\sum b_i = -20\)
And we want to find the value of the sum:
\(\sum (29a_i - 13b_i)\)
First we can distribute the sum to get:
\(\sum 29a_i + \sum - 13b_i\)
And take the coefficients out of the sum:
\(29\sum a_i -13\sum b_i\)
Now replace the known values:
\(29\sum a_i -13\sum b_i = 29*-10 - 13*-20 = -290 + 260 = -30\)
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I need Help please!!!
Step-by-step explanation:
it seems you solved the tricky part yourself already.
just to be sure, let's do the first derivative here again.
the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...
f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =
= 3t⁴ + 18t³ + 24t² + 18t + 21
f'(t) = 12t³ + 54t² + 48t + 18
and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).
we simply put the input number (2) at every place of the input variable (t).
so,
f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =
= 426
What are the factors of this quadratic function?
Answer:
A. x-1 and x-5
Step-by-step explanation:
zeros are 1 and 5
so the factors are:
x-1 and x-5
Option A is correct
A shoe store uses a %60 markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a wholesale cost of $51?
Answer:
81.60 is your selling price
Step-by-step explanation:
60% = 0.60
0.60 x 51 = 30.60
51 + 30.60 = 81.60
The ESS Ravens bought pizza for $900 to sell at the football game. They kept 10 pizzas to feed the players after the game and sold the rest for $1040. There were 8 slices in each pizza. Their profit was 50 cents a slice.
a) How many pizzas were in the original order?
Answer: 45
Step-by-step explanation:
The total profit in all was \(1040-900=\$ 140\).
The total profit per pizza was \((0.50)(8)=\$4\).
This means they sold \(\frac{140}{4}=35\) pizzas.
Adding this to the 10 pizzas held back, there were \(35+10=45\) pizzas in the original order.