Answer:
6
Step-by-step explanation:
The union is defined as the set of all elements in at least one of the sets.
[tex]A \cup B=\{1,2,3,4,5,7\}[/tex]
So, there are 6 elements.
版 < The population of a village 10 years ago was 7500. The population is now 5700. What percentage decrease is this? Type here to search O 21 7 I %
Helpppppop
h(x)=x^2-6
f(x)=4x+6
Evaluate f(h(3))
Answer:
18
Step-by-step explanation:
tbh I kinda forgot how to do this but ill try,
input 3 into the f(x)
4(3)+6=12+6=18
2.161616 as a fraction
Answer:
16/99
Step-by-step explanation:
i think
Find least number which must subtracted from the following to make them perfect square
42029
Answer:
[tex] \sqrt[3 \\ ]8 + \sqrt{114} {?} [/tex]
Math 1325 problem im stuck on
Using limits, the average cost when printing an increasing large number is of $115.
How to solve a limit when x goes to infinity?When x goes to infinity and we want to solve the limit, we consider only the term with the highest degree. If we have a fraction, as is the case in this problem, we consider the terms with the highest degree of the numerator and of the denominator.
For this problem, the cost function is:
[tex]C(x) = \frac{450 + 115x}{x}[/tex]
The terms with largest degree are the multipliers of x, with degree 1, hence the limit is given as follows:
[tex]\lim_{x \rightarrow \infty} C(x) = \lim_{x \rightarrow \infty} \frac{450 + 115x}{x} = \lim_{x \rightarrow \infty} \frac{150x}{x} = 150[/tex]
Hence the average cost when printing an increasing large number is of $115.
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four boys hiked a distance of 2.53 km from manila south cemetery to washington sycip park. round the distance to the nearesr tenths
Answer:
2.5
Step-by-step explanation:
Mu choices are 2.5 or 2.6 .
2.53 would be closer to 2.5 than to 2.6
The distances would be
2.50, 2.51. 2.52, 2.53, 254. 2.55, 2.56, 2.57, 2.58, 2.59, 2.60
Another name for 2.5 would be2.50 and another name for 2.6 would be 2.60. Do you see from the list above that 2.53 would be closer to 2.50 than 2.60
. Given the relation = {(5,2), (7,4), (9,10), (, 5)}. Which of the following values for x will make relation a function?
Answer:
0
Step-by-step explanation:
since a function maps only one member in the co-domain
Find n(S ∩ T) given that n(S)=6, n(T)=9 and n(S ∪ T)=15.
Answer:
0
Step-by-step explanation:
[tex]n(S \cup T)=n(S)+n(T)-n(S \cap T) \\ \\ 15=15-n(S \cap T) \\ \\ n(S \cap T)=0[/tex]
A startup sports public relations company is looking to grow. They currently represent 1 client and plan on representing 2 additional clients each year. The following graph can be used to
help determine the number of clients, y, the company will have after x years.
Based on the context, what is the range of the function?
The range the number of clients, y, the company will have after x years of the function will be -∞ ≤ y ≤ ∞
What is Range and Domain ?The range of a function is the complete set of possible dependent variable values. While domain is the set of all possible independent values. We can substitute domain to get range.
From the given graph, the line of the equation of the graph is a linear. We can then say that y = - ∞, y = 1 and y = ∞
Y = 1 when x = 0
Therefore, the range of the function will be -∞ to +∞ That is,
-∞ ≤ y ≤ ∞
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Answer:
1,∞ is the answer
Step-by-step explanation:
The cellular phone service for a business executive is $35 per month plus $0.40 per minute of phone use over 900 min. For amonth in which the executive's cellular phone bill was $83.80, how many minutes did the executive use the phone?
Answer:
1022 minutes
Step-by-step explanation:
Let x be the number of minutes the executive used the phone
There is a base charge of $35 and only minutes greater than 900 min are charged at the rate of $0.40 per minute
So total bill A = 35 + 0.4(x-900)
We know the bill was $83.80
So we can rewrite the equation as
35 + 0.4(x-900) = 83.30
and solve for x
To make it easier for computational purposes
1) Multiply both sides by 10
[tex]35\cdot \:10+0.4\left(x-900\right)\cdot \:10=83.8\cdot \:10[/tex]
2) Perform individual multiplication
[tex]350+4\left(x-900\right)=838[/tex]
3) Subtract 350 from both sides
[tex]350+4\left(x-900\right)-350=838-350[/tex]
4) Simplify
[tex]4\left(x-900\right)=488[/tex]
5) Divide both sides by 4
[tex]\frac{4\left(x-900\right)}{4}=\frac{488}{4}[/tex]
6) Simplify
[tex]x-900=122[/tex]
7) Add 900 to both sides to isolate x
[tex]x-900+900=122+900[/tex]
8) Simplify to obtain x
[tex]x=1022[/tex]
Answer: The executive used the phone for 1022 minutes that month
Help pleaseee thank you so much
Answer:
It's the nitrogen concentration, since it's the one being decided.
teach me simple equation solving an equation using tansposing method class 7 pleaseee pls
Any given equation can be solved with the help of transpose method by following the steps mentioned below, but first understand what is linear equation.
What is a linear equation?A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. It is of the form -
y = ax + b
Given a simple equation and we have to solve the equation using transpose method.
We will learn about transpose method of equation solving with the help of an example. Assume that you have to solve the following expression -
4(x + 9) = 3(x + 7)
STEP - 1 - Identify the unknown variable.
In the expression given, the unknown variable is x.
STEP - 2 - Solve the Left hand side and Right hand side to make both sides simpler.
In the expression given, we will simplify both sides -
4(x + 9) = 3(x + 7)
4x + 4 × 9 = 3x + 3 × 7
4x + 36 = 3x + 21
STEP - 3 - Transfer the terms that containing variable one Left hand side of equation and the constant terms on the right hand side.
Apply Step 3 -
4x - 3x + 36 = 21
4x - 3x = 21 - 36
STEP - 4 - Solve for unknown variable.
We have -
4x - 3x = 21 - 36
x = - 15
Therefore, any given equation can be solved with the help of transpose method by following the steps mentioned above.
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At Skyrocket Amusement Park, 30% of the rides are roller coasters. There are a total of 18 roller coasters. How many rides are there at Skyrocket Amusement Park in all?
Answer: 60 rides
Step-by-step explanation:
18/30% = (as fraction) 180/3
= 60
6. Please show work pamdas
Answer:
189
Step-by-step explanation:
189 hshwhwjwowoqoqooqpqp
Find the range please
Answer:
8
Step-by-step explanation:
The range of a data set in statistics is the difference between the largest and the smallest values. While range does have different meanings within different areas of statistics and mathematics, this is its most basic definition, and is what is used by the provided calculator. Using the same example:
2,10,21,23,23,38,38
38 - 2 = 36
The range in this example is 36. Similar to the mean, range can be significantly affected by extremely large or small values. Using the same example as previously:
2,10,21,23,23,38,38,1027892
The range, in this case, would be 1,027,890 compared to 36 in the previous case. As such, it is important to extensively analyze data sets to ensure that outliers are accounted for.
Answer: Range is all the values of the y-axis therefore, the range of the graph is {0,4,6,8}
You are about to list your house as For Sale By Owner. Suppose you need to allow
for a 3% commission for the buyer's realtor, and you need to receive a minimum of
$92,500 on the sale. What is the minimum price you can list the house at to
accommodate both of these requirements? Round to the nearest hundred dollars.
$89,725
$95,275
$95,400
$95,000
Answer:
(c) $95,400
Step-by-step explanation:
You want the listing price of your house such that you can clear $92,500 after paying a 3% commission to the buyer's realtor.
SetupThe buyer's agent will receive 3% of the sale price (P), so you receive that amount less. You want your share to be $92,500.
(1 -3%)P = 92,500
SolutionDividing by the coefficient of P, we get ...
P = 92,500/0.97 ≈ 95,361
We are asked to round this value to the nearest $100. That makes the listing price ...
$95,400 . . . . listing price
__
Additional comment
You can estimate the listing price by adding 3% of 92500 to that value, and you can estimate the added amount as 3%×90,000 = 2700. That is, you know the listing price needs to be slightly higher than ...
92500 +2700 = 95,200
Only one of the answer choices is above that value and rounded to the nearest $100. (You can eliminate the first two choices, because they are not properly rounded.)
Leo's bakery made three dozen batches of
cookies. Each batch of cookies made 26 cookies
How many cookies did the bakery make?
Answer:
first we find out how much is three dozens?
3 x 12 =36
now we multiply 26 and 36 to find out the number of cookies
26 x 36 = 936
936 cookies is your answer
Answer the following true or false
false is the answer of that Q
Use braces to write the members of the set, or state that the set has no members.
The integers from 6 to 10 (inclusive)
A.
{7, 8, 9}
B.
{6, 7, 8, 9}
{6, 7, 8, 9}
{6, 7, 8, 9}
{6, 7, 8, 9}
C.
{7, 8, 9, 10}
D.
{6, 7, 8, 9, 10}
The integers from 6 to 10 (inclusive).will be D. {6, 7, 8, 9, 10}.
How to compute the value?It should be noted that the integers given are from 6 to 10 (inclusive).
In this case, this simply means the numbers from 6 to 10.
Therefore, the appropriate number will be: D.
{6, 7, 8, 9, 10}
In conclusion, the correct option is D.
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Which sequence of transformations on preimage ∆ABC will NOT produce the image ∆A'B'C'?
Graph shows 2 triangles plotted on a coordinate plane. First triangle is at A(minus 3, 0), B(minus 2, 3), C(minus 1, 1). Second triangle is at A prime (0, minus 3), B prime (3, minus 2), C prime (1, minus 1).
A.
reflection across the line y = x
B.
reflection across the x-axis followed by a reflection across the y-axis
C.
reflection across the line y = -x followed by a rotation 180° counterclockwise about the origin
D.
reflection across the y-axis followed by a rotation 90° clockwise about the origin
E.
rotation 180° clockwise about the origin followed by a reflection across the line y = -x
The geometric transformation which will not produce the image ∆A'B'C' is an option (B) reflection across the x-axis followed by a reflection across the y-axis
In this question, we have been given a triangle ABC and the transformed triangle A'B'C'
Also, in the graph the first triangle is at A(-3, 0), B(-2, 3), C(- 1, 1) and the Second triangle is at A prime (0, -3), B prime (3, -2), C prime (1, -1).
Consider the graph as shown below.
From the coordinates of vertex of triangle ABC and triangle A'B'C' we can observe that,
A(-3, 0) -> A'(0, -3)
B(-2, 3) -> B'(3, -2)
C(-1, 1) -> C'(1, -1)
For each vertex,
x coordinate of triangle ABC = y coordinate of triangle A'B'C'
and y coordinate of triangle ABC = x coordinate of triangle A'B'C'
This means, the geometric transformation of triangle ABC is reflection across the line y = x
But the reflection across the x-axis followed by a reflection across the y-axis.
Therefore, the geometric transformation which will not produce the image ∆A'B'C' is an option (B) reflection across the x-axis followed by a reflection across the y-axis
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The formula for the nth number is Sn=n^2. Use the formula to find the 17th number.
The 17th number is
enter your response here. (Simplify your answer.)
The 17th term of the sequence is 289
How to determine the 17th term of the sequence?The nth term is given as
Sn = n^2
The 17th term of the sequence implies that
n = 17
So, we have
S17 = 17^2
Evaluate
S17 = 289
Hence, the 17th term of the sequence is 289
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Solve for n.
n = 3
8 x n = 32
nx 8 = 32
n = 4
32+8= n
32+ n = 8
n = 5
n = 6
Answer:
n = 4
Step-by-step explanation:
8 * n = 32
Solve for n
Divide each side by 8
8*n/8 = 32/8
n = 4
Use the formulas developed in the this section to find area of the figure.
A=s^2
A=___ yd^2
The area of the figure is 22.785 square yards
How to find the area of the figure?The figure is a triangle, and it has the following properties
Base = 9.3 yards
Height = 4.9 yards
The area of the figure is calculated as
Area = 0.5 * Base * Height
So, we have
Area = 0.5 * 9.3 * 4.9
Evaluate
Area = 22.785
Hence, the area of the figure is 22.785 square yards
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Maureen knows the domain of f(x) is the set of positive real numbers if she graphs f(x) on the coordinate plane what must be true about the graph
The correct option is C, if f(x) has a domain only with positive values, the graph will be on the first and fourth quadrant.
What must be true about the graph?We know that the domain of f(x) is only the set of positive real numbers. Now remember that the domain of a function is the set of the inputs of that function (the inputs are on the horizontal axis).
Then the graph of f(x) will only be on the positive side of the horizontal axis. We know that the two quadrants that are on that region are the first quadrant and the fourth quadrant.
Then if f(x) has a domain only with positive values, the graph will be on the first and fourth quadrant, this means that the correct option is C.
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What is the area, in square feet, of a rectangle whose width is 6 feet and whose length is 2 feet more
than three times its width?
Answer:
120
Step-by-step explanation:
l = (w*3)+2
w = 6
area = ((6*3)+2) * 6
((18) + 2) * 6
20 * 6
120
Simplify -(3a-3) it’s hard
hi
-(3a-3) = -3a +3
you cannot do much more.
You can rewrite it as 3 ( -a +1) or as -3 ( a -1) but nothing more really.
Jean's bedroom is 13 feet by 13 feet. She has chosen a carpet which costs $28.60 per square yard. This
includes installation.
to carpet her room -what’s the cost of the carpet for the room ?
Answer:
$4,833.40
Step-by-step explanation:
First find the area of the room.
A = lw
A = (13)(13)
A = 169[tex]ft^{2}[/tex]
It cost 28.60 per square foot. Multiply these numbers together.
169(28.60) = 4833.40
For 24 points?
Maths
Estimate the value of:
73.182 x 3.473
Answer:
answer is 251.5
Mark as branliest if helped a bit
taylor has 85 cents in imes and nickels in her pocket. the number of dimes is four more than the number of nickels. How many of each coin does she have?
Answer:
3 nickels and 7 dimes.
Step-by-step explanation:
Let +n+ = number of nickels
Let +d+ = number of dimes
-----------------------------
(1) +5n+%2B+10d+=+85+
(2) +d+=+n+%2B+4+
----------------------------
Substitute (2) into (1)
(1) +5n+%2B+10%2A%28+n+%2B+4+%29+=+85+
(1) +5n+%2B+10n+%2B+40+=+85+
(1) +15n+=+45+
(1) +n+=+3+
and
(2) +d+=+n+%2B+4+
(2) +d+=+3+%2B+4+
(2) +d+=+7+
---------------------
There are 3 nickels and 7 dimes
-------------------------------
check:
(1) +5n+%2B+10d+=+85+
(1) +5%2A3+%2B+10%2A7+=+85+
(1) +15+%2B+70+=+85+
(1) +85+%2B+85+
OK
Use left-endpoint approximation to estimate the area under the curve of f(x)=x^3 on [1,3]. Use n = 4. Using the same function use midpoint approximation to estimate the area.
Split up the interval [1, 3] into 4 intervals of equal length,
[tex]\Delta x = \dfrac{3 - 1}4 = \dfrac12[/tex]
The left endpoint of the [tex]i[/tex]-th interval is
[tex]\ell_i = 1 + \dfrac i2[/tex]
The area under the curve is then approximately
[tex]\displaystyle \int_1^3 f(x) \, dx \approx \sum_{i=1}^4 f(\ell_i)\Delta x \\\\ ~~~~~~~~ = \frac12 \sum_{i=1}^4 \left(1 + \frac i2\right)^3 \\\\ ~~~~~~~~ = \frac12 \sum_{i=1}^4 \left(1 + \frac{3i}2 + \frac{3i^2}4 + \frac{i^3}8\right) = \boxed{27}[/tex]