Answer:
[tex]-3 < x < 2[/tex]
Step-by-step explanation:
Given:
Range: -3 to 2
Required:
- Write the inequality
- Represent on a number line
Let the variable be represented by x
The question says -3 and 2 are exclusive of x;
This implies that, -3 is less than x [tex](i.e.\ -3 < x)[/tex] and at the same time x is less than 2 [tex](i.e.\ x < 2)[/tex]
Write out the two inequalities
[tex]-3 < x[/tex] and [tex]x < 2[/tex]
Combine both inequalities
[tex]-3 < x < 2[/tex]
See attachment for number line
Notice that the circle on -3 and 2 are opened
This implies that -3 and 2 are exclusive of the inequality;
The local store where Tim shops charges a 7% sales tax for clothing. Complete the table by figuring the cost of the jeans after sales tax is applied. The first row has been done for you.
Answer:
[tex]A=P+P\times S\%[/tex]
Step-by-step explanation:
For calculating the sales tax of a product, it is required to first multiply the original cost price of the product by the sales tax percentage.
Once the sales tax has been computed add it to the original cost price in order to determine the total cost of the product.
The formula of final amount is:
[tex]A=P+P\times S\%[/tex]
Here,
A = final amount
P = original cost price
S = sales tax percentage
Answer:
1.$25.68
2.$51.36
3. 77.04
Step-by-step explanation:
I just took the test.
2 Kendal bought x boxes of cookies to bring to a party. Each box contains 12 cookies. She
decides to keep two boxes for herself. She brings 60 cookies to the party. Which equation
can be used to find the number of boxes, x, Kendal bought?
1) 2x - 12 - 60
3) 12x - 24 - 60
2) 12x-2-60
4) 24 - 12x - 60
Answer:
Hey there! The answer to your question will be below.
Step-by-step explanation:
The correct answer to your question is 12x - 24=60
So we know that 12x will be the number of cookies.
It says that she kept two boxes for herself, and than she took away 24 boxes which will leave us with 60.
Here is the work:
12 (x-2)= 60
12x-24=60
So the answer should be 12x -24 = 60
Hope this helps!
By:xBrainly
Jill works as a lifeguard at a swimming pool. Last week, she worked for 32.65 hours. How many hours and minutes is this?
Answer:
32 hours and 65 minutes
Step-by-step explanation:
Answer:
The Answer is 33 hours and 5 minutes
Step-by-step explanation:
The reason being that 32.65 is 32 hours and 60 min is an hour so add that to the 32 it's 33hrs and the remaining 5 min
If x, y, z, are integers such that 2^x*3^y*7*z=329, Then what is x, y, and z? PLZZZZ HELP THANK YOU
Answer:
[tex]\boxed{\sf \ \ \ 2^0*3^0*7*47=329 \ \ }[/tex]
Step-by-step explanation:
hello,
let's try to divide by 7 329 it comes
329 = 47 * 7
and 329 is not divisible by 2 or 3 so
the solution is
x = 0
y = 0
z = 47
[tex]2^0*3^0*7*47=329[/tex]
hope this helps
A grandfather wants to know the average height of all his grandchildren. He finds that the heights of his 9 grandchildren are given in inches by 63,71,60,59,74,60,60,75,58.
Answer:
The average height is 64.45 inches.
Step-by-step explanation:
Total number of children = 9 children
Heights in inches = 63,71,60,59,74,60,60,75,58.
The average height of grandchildren can be determined by adding all the given heights and then divide by the number of grandchildren.
Now if we add all the given heights of 9 children = 63 + 71 + 60 + 59 + 74 + 60 + 60 + 75 + 58 = 580
The average heights = 580 / 9 = 64.45 inches.
Answer:64.4
Step-by-step explanation:
Which interval for the graphed function has a local
minimum of 0?
O [-3, -2]
O (-2, 0]
O [1, 2]
O [2,4]
You're looking for "parabola" like shapes in which the lowest point has a y coordinate of y = 0. In this case, it would be the "parabola" portion on the right that has its lowest point at (3,0). The only interval that fits is [tex]2 \le x \le 4[/tex] which in interval notation is written as [2,4]. So this fits with choice D.
Evaluate the following expression (-3)^-2
It is approximately equal to 0.1111
=================================
To get this answer, we use the rule
[tex]x^{-k} = \frac{1}{x^k}[/tex]
The negative exponent tells us to apply the reciprocal to get the exponent to be positive.
So,
[tex](-3)^{-2} = \frac{1}{(-3)^2}\\\\(-3)^{-2} = \frac{1}{9}[/tex]
Squaring -3 means you square the negative as well
[tex](-3)^2 = (-3)*(-3) = 9[/tex]
Answer:
1/9
Step-by-step explanation:
(-3)^-2 would be better written as (-3)^(-2).
1
(-3)^(-2) would be easier to evaluate if written as -------------
(-3)^2
The final answer is 1/9.
Can you please help me -3x-y=6
Answer:
(0,-6), (-2,0)
Step-by-step explanation:
-3x-y=6
-y=6+3x
y=-3x-6
when x=0, y=-6
when y=0 x=-2
PLEASE HELP!!
Suppose f(x)=x^2. What is the graph of g(x)=f(3x)
Answer:
B
Step-by-step explanation:
We begin with the given function [tex]f(x)=x^2[/tex]
To find [tex]g(x)[/tex], we can plug [tex]3x[/tex] into the function [tex]f(x)=x^2[/tex]
[tex]f(x)=x^2\\\\f(3x)=(3x)^2\\\\f(3x)=9x^2\\\\g(x)=9x^2[/tex]
Now that we know the equation of [tex]g(x)[/tex], we can find the graph that is equivalent to it.
The only graph that is even close to the function [tex]g(x)=9x^2[/tex] is B, so that is our answer.
Vikas is the head of student council this year at his high school in London. He is responsible for planning the annual graduation trip to Canada’s Wonderland. The students will spend one full day at the park and return late that evening. The school has rented a bus for transportation. The entry fee into the park is $50 and the bus costs $600. Write an equation to relate the cost, C, in dollars to the number of student, s, who participate in this fun trip.
weekly wages at a certain factory are normally distributed with a mean of $400 and a standard deviation of $50. find the probability that a worker selected at random makes between $350 and $400.
Answer:
0.34134
Step-by-step explanation:
In other to solve for this question, we would be using the z score formula
z = (x - μ) / σ
x = raw score
μ = mean
σ = Standard deviation
We are told in the question to find the probability that a worker selected at random makes between $350 and $400
let x1 = 350 and x2= 400 with the mean μ = 400 and standard deviation σ = $50.
z1 = (x1 - μ) / σ = (350-400) / 50 = -1
z2 = (x2 - μ) / σ = (400 - 400) / 50 = (0/50) = 0
From tables, P(z <= -1) = 0.15866
P(z <= 0) = 0.5
Then, the probability would give us, P(-1 ≤ z ≤ 0) =0.5 - 0.15866 =
0.34134
Hence, The probability that a worker selected at random makes between $350 and $400 = 0.34134
Answer:
34%
Step-by-step explanation:
Acellus sux
please help ! As an estimation we are told £3 is €4. Convert £64.60 to euros. Give your answer rounded to 2 DP.
Answer:
€86.13
Step-by-step explanation:
The computation is shown below:
According to the given question
The estimation we told is
£3 = €4
£ reflects the sign of the pound and "€" reflects the sign of Euro.
Therefore we apply the estimation we get
£1 = €
Now multiply both sides by 73.50.
£64.60= €
£64.60 = €
Therefore, the estimated value of £64.60 is €86.13 (£64.60 × 4 ÷ 3)
The diagonal of a square is x units. What is the area of the square in terms of x? One-half x squared square units x squared square units 2x square units One-half x square units
Answer:
[tex]\frac{x^2}{2}[/tex] square units [one-half x squared square units]
Step-by-step explanation:
As shown in the diagram attached to this response,
Since a square has all sides equal, let the sides of the square be each of a units.
The area, A, of the square = a x a = a²
i.e
A = a² --------------(i)
Now,
The diagonal is x units such that applying Pythagoras rule gives;
x² = a² + a²
x² = 2a²
a² = [tex]\frac{x^2}{2}[/tex] ----------------(ii)
Substitute the value of a² in equation (ii) into equation (i) to get;
A = [tex]\frac{x^2}{2}[/tex]
Therefore, the area of the square is [tex]\frac{x^2}{2}[/tex] square units
Answer:
1/2x^2 square units
Step-by-step explanation:
The local high school hosted a hockey tournament. Tickets were sold before the tournament and at the door. When reviewing the ticket sales, the director of the tournament realized that there were 80 more tickets purchased before the tournament than at the door. A total of 820 tickets were sold. Which statements about ticket sales are true
Answer:
380 tickets were sold at the door and 440 tickets were sold before
Step-by-step explanation:
x = tickets sold before
y = tickets sold at the door
x + y = 820
x = y + 80
y + 80 + y = 820
-80 -80
2y = 740
y = 370
820 - 380 = 440
x = 440
The sum of the digits of a two-digit number is 7 .When the digits are interchanged the reversed number is five times the tens digit of the original number find the original number .
frnds pls help me
I want answer with full process pls help me
pls frnds do it fast pls help me
Answer:
Original number is 52.
Step-by-step explanation:
1) Two digit number xy,
it can be written as 10x + y.
2) The sum of the digits of a two-digit number is 7.
x + y = 7
3) The digits are interchanged the reversed number is yx,
the new number can be written as 10y + x.
4) The original number is 10x + y, so the tens digit of the original number is x.
5) Five times the tens digit of the original number is 5*x.
6) The reversed number is five times the tens digit of the original number:
10y + x = 5*x
7) We have system of two equations
x + y = 7 ----> x = 7 - y
10y + x = 5*x ---> 10y - 4x = 0
10y - 4x = 0
10y - 4(7 - y) =0
10y - 28 + 4y = 0
14y = 28
y = 2
x = 7 - y = 7 - 2 = 5
x = 5
Original number is 52.
New number 25.
Check:
Original number is 52, the tens digit is 5.
The reversed number (25) is five times the tens digit of the original number find the original number .
25 = 5*5 True
jane will run less than 32 miles this week. So far she has run 19 miles. what are the possible numbers of additional miles she will run ?use t for the number of additional miles she will run.
Answer:
Jane will run more than 30 miles this week, as thus far she ran 22.
Step-by-step explanation:
X + 22>30
X>8
She runs more than 8 miles.
Answer:
Well, it depends.
Step-by-step explanation:
In the problem, it doesn't specify if the miles she runs is a positive integer or not, but I will assume that it is.
There are number of miles: 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, and 31.
So t = 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, and 31
The proportional relationship between the cost and duration of a phone call is shown in the following
Which statement about the graph are true
Answer:
None of the above
Step-by-step explanation:
the x coordinate tells us the duration, and the y-coordinate tells us the total cost of a phone call. The y coordinate of point aA represents the total cost of an 8 minutes phone call. not 8 phone calls. point a tells us that the cost is $2 for an 8-minute phone call, so the cost per minute is 2/8=$0.25, not $0.3.
Hope this helps!
find the length of the diagonal of a rectangle whose length is 15 cm and breadth is 8cm
Answer:
I hope it will help you......
Which value, when placed in the box, would result in a system of equations with infinitely many solutions?
y = -2x + 4
6x + 3y =
a. -12
b. -4
c. 4
d. 12
Answer:
d. 12
Step-by-step explanation:
if you rewrite the first as 2x + y = 4 and then multiply it by 3, it is equal to the second equation if the right hand side is 12.
If a system of equations contains dependent equations (ie., equal give or take a scale factor), then there is not one single solution but many.
Answer: its d, 12
Step-by-step explanation:
Please help find the measure of the arc
Answer: 214
Step-by-step explanation:
The circumference of a circle measures 360 degrees, and since minor arc EF measures 146 degrees, this means arc EDF measures [tex]360-146=214^{\circ}[/tex]
arc EDF measures is 214°
What is arc?The arc is a portion of the circumference of a circle
The circumference of a circle measures 360°,
Since minor arc EF measures 146°,
arc EDF measures = 360°-146° = 214°
Hence, arc EDF measures is 214°
learn more about arc of circle
https://brainly.com/question/1577784
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WILL GET BRAINLISET AND EXTRA POINTS Which is the approximate solution for the system of equations 8 x minus 10 y = negative 23 and 9 x + 10 y = negative 16? (–2.3, 0.5) (–2.5, 1) (–2.3, –0.5) (–2.5, –1)
Answer:
(-2.3, 0.5)
Step-by-step explanation:
Step 1: Write out systems of equations
8x - 10y = -23
9x + 10y = -16
Step 2: Elimination (add the 2 equations together)
17x = -39
x = -39/17 = -2.29412 ≈ -2.3
Step 3: Plug in x to find y
8(-39/17) - 10y = -23
-312/17 - 10y = -23
-10y = -79/17
y = 79/170 = 0.464706 ≈ 0.5
Answer:
(-2.3, 0.5)
Step-by-step explanation:
Step 1: Write out systems of equations
8x - 10y = -23
9x + 10y = -16
Step 2: Elimination (add the 2 equations together)
17x = -39
x = -39/17 = -2.29412 ≈ -2.3
Step 3: Plug in x to find y
8(-39/17) - 10y = -23
-312/17 - 10y = -23
-10y = -79/17
y = 79/170 = 0.464706 ≈ 0.5
Step-by-step explanation:
When she subtracts 4 from both sides, 1/2x=-1.2x result.What is the value of x
Consider the following expression and the simplified expression. Expression Simplified Expression 3 x squared + 5 y squared box + 3 box + 4 y squared + 6 9 x squared minus y squared + 9 Which terms could be in the boxes to make the expressions equivalent? Positive 6 x squared and Negative 6 y squared Positive 6 x squared and Negative 10 y squared Positive 9 x squared and Negative 10 y squared Positive 9 x squared and Negative 6 y squared
Answer:
The correct answer is:
[tex]+6x^{2}\\-9y^2[/tex]
Step-by-step explanation:
We are given the term:
[tex]3x^{2} +5y^{2} [\text{ \ }] +3 [\text{ \ }] +4y^{2} +6 = 9x^{2} -y^{2} +9[/tex]
We have to fill in to the empty spaces such that the above equation gets satisfied.
First of all, let us simplify the LHS (Left Hand Side):
[tex]3x^{2} +5y^{2} [\text{ \ }] +3 [\text{ \ }] +4y^{2} +6\\\Rightarrow 3x^{2} +5y^{2} +4y^{2} [\text{ \ }] [\text{ \ }] +6 +3\\\Rightarrow 3x^{2} +9y^{2} [\text{ \ }] [\text{ \ }] +9[/tex]
Now, let us equate the LHS and RHS (Right Hand Side):
[tex]\Rightarrow 3x^{2} +9y^{2} [\text{ \ }] [\text{ \ }] +9 = 9x^{2} -y^{2} +9[/tex]
Equating the coefficients of [tex]x^{2}\ and\ y^{2}[/tex] in LHS and RHS:
One box will have value = [tex]9x^{2} -3x^{2} =+6x^{2}[/tex]
Other box will have value = [tex]-y^{2} -9y^{2} =-10y^{2}[/tex]
The correct answer is:
[tex]+6x^{2}\\-9y^2[/tex]
So, if we fill the boxes with above values, the expression will be simplified as given.
Answer:
The correct answer is B. Positive 6 x squared and Negative 10 y squared
Step-by-step explanation:
Solve the system of equations by graphing the equations y=x+2 and y=3x-2 (show work plz )
Answer:
(2, 4)
Step-by-step explanation:
You can use a graphing calculator, and find the point where the lines intersect. Attached is the image.
Hope this helps! :)
Determine which is NOT an arithmetic sequence
2.4.8.16
O -7,0.7.14
O 0..5.1.1.5
O 10.6.2.-2
Answer:
1st option
2,4,8,16
Step-by-step explanation:
1st option is not an Arithmetic sequence, it is geometric sequence. Because, the common ratio is 2
the 2nd option has a common difference of 7, so it is arithmetic
the 3rd option has a common difference of 0.5, so it is arithmetic
and 4th option has a common difference of -4. so it is arithmetic
How many complex and real roots are in the problem (x+10)^9.
Answer:
9 roots
Step-by-step explanation:
(x+10)^9 = 0
If you would multiply it out, the highest power is x^9 so the equation has 9 roots
Solving (x+10)^9 =0
Taking the 9th root of each sdie
x+10 = 0
x = -10
The root is -10 with multiplicity of 9
The area of a circle is 81pi in.squared. What is the circumference, in inches? Express your answer in terms of pi
Answer:
18π
Step-by-step explanation:
the area of a circle is :
A= r²*π where r is the radius
here r² =81⇒ r= 9
the circumference of a circle is :
P= 2*r*π
P= 18π
Answer:
18 pi inches
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
81 pi = pi r^2
Divide by pi
81 = r^2
Take the square root of each side
sqrt(81) = sqrt (r^2)
9 = r
We want the circumference
C = 2 * pi * r
C = 2 * pi * 9
C = 18 pi
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intro to geometric sequences (help pls)
Answer:
Option B
Step-by-step explanation:
The formula for geometric sequence is given by:
[tex]a_{n} = a_{1}r^{n-1}[/tex]
Where,
[tex]a_{n}[/tex] = nth term of sequence
[tex]a_{1}[/tex] = 1st term of the sequence
[tex]r[/tex] = common ratio (ration of the second term to the first term)
So,
Here:
[tex]a_{1}[/tex] = 12
[tex]r[/tex] = 6/12 = 1/2
Plugging in the values of [tex]a_{1}[/tex] and r in the above formula:
=> [tex]a_{n} = 12 * (\frac{1}{2}) ^ {n-1}[/tex]